%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : LAT292+2 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n016.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 : Fri Sep 25 01:58:55 PM UTC 2026
% Result : Theorem 111.95s 38.94s
% Output : CNFRefutation 211.87s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats ran out of CPU time)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( r2_hidden(X0,X1)
=> ~ r2_hidden(X1,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+0.ax',antisymmetry_r2_hidden) ).
fof(f3,axiom,
! [X0,X1] :
( ! [X2] :
( r2_hidden(X2,X0)
<=> r2_hidden(X2,X1) )
=> X0 = X1 ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+1.ax',t2_tarski) ).
fof(f4,axiom,
! [X0,X1] :
( X1 = k1_tarski(X0)
<=> ! [X2] :
( r2_hidden(X2,X1)
<=> X2 = X0 ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+1.ax',d1_tarski) ).
fof(f5,axiom,
! [X0,X1,X2] :
( X2 = k2_tarski(X0,X1)
<=> ! [X3] :
( r2_hidden(X3,X2)
<=> ( X3 = X1
| X3 = X0 ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+1.ax',d2_tarski) ).
fof(f8,axiom,
! [X0,X1] :
( r1_tarski(X0,X1)
<=> ! [X2] :
( r2_hidden(X2,X0)
=> r2_hidden(X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+1.ax',d3_tarski) ).
fof(f9,axiom,
! [X0,X1] :
( X1 = k3_tarski(X0)
<=> ! [X2] :
( r2_hidden(X2,X1)
<=> ? [X3] :
( r2_hidden(X3,X0)
& r2_hidden(X2,X3) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+1.ax',d4_tarski) ).
fof(f12,axiom,
! [X0,X1] :
~ ( ! [X2] :
~ ( ! [X3] :
~ ( r2_hidden(X3,X2)
& r2_hidden(X3,X1) )
& r2_hidden(X2,X1) )
& r2_hidden(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+1.ax',t7_tarski) ).
fof(f13,axiom,
! [X0,X1] : k4_tarski(X0,X1) = k2_tarski(k2_tarski(X0,X1),k1_tarski(X0)),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+1.ax',d5_tarski) ).
fof(f18,axiom,
! [X0,X1] : r1_tarski(X0,X0),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+1.ax',reflexivity_r1_tarski) ).
fof(f21,axiom,
! [X0,X1] : k2_tarski(X0,X1) = k2_tarski(X1,X0),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+1.ax',commutativity_k2_tarski) ).
fof(f25,axiom,
? [X0] : v1_xboole_0(X0),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+2.ax',rc1_xboole_0) ).
fof(f26,axiom,
? [X0] : ~ v1_xboole_0(X0),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+2.ax',rc2_xboole_0) ).
fof(f27,axiom,
! [X0,X1] :
( ~ v1_xboole_0(X0)
=> ~ v1_xboole_0(k2_xboole_0(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+2.ax',fc2_xboole_0) ).
fof(f28,axiom,
! [X0,X1] :
( ~ v1_xboole_0(X0)
=> ~ v1_xboole_0(k2_xboole_0(X1,X0)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+2.ax',fc3_xboole_0) ).
fof(f29,axiom,
! [X0] :
( X0 = k1_xboole_0
<=> ! [X1] : ~ r2_hidden(X1,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+2.ax',d1_xboole_0) ).
fof(f30,axiom,
! [X0,X1,X2] :
( X2 = k2_xboole_0(X0,X1)
<=> ! [X3] :
( r2_hidden(X3,X2)
<=> ( r2_hidden(X3,X1)
| r2_hidden(X3,X0) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+2.ax',d2_xboole_0) ).
fof(f31,axiom,
! [X0,X1,X2] :
( X2 = k3_xboole_0(X0,X1)
<=> ! [X3] :
( r2_hidden(X3,X2)
<=> ( r2_hidden(X3,X1)
& r2_hidden(X3,X0) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+2.ax',d3_xboole_0) ).
fof(f32,axiom,
! [X0,X1,X2] :
( X2 = k4_xboole_0(X0,X1)
<=> ! [X3] :
( r2_hidden(X3,X2)
<=> ( ~ r2_hidden(X3,X1)
& r2_hidden(X3,X0) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+2.ax',d4_xboole_0) ).
fof(f33,axiom,
! [X0] :
( v1_xboole_0(X0)
<=> X0 = k1_xboole_0 ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+2.ax',d5_xboole_0) ).
fof(f34,axiom,
! [X0,X1] : k5_xboole_0(X0,X1) = k2_xboole_0(k4_xboole_0(X0,X1),k4_xboole_0(X1,X0)),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+2.ax',d6_xboole_0) ).
fof(f35,axiom,
! [X0,X1] :
( r1_xboole_0(X0,X1)
<=> k3_xboole_0(X0,X1) = k1_xboole_0 ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+2.ax',d7_xboole_0) ).
fof(f38,axiom,
! [X0,X1] :
( X0 = X1
<=> ( r1_tarski(X1,X0)
& r1_tarski(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+2.ax',d10_xboole_0) ).
fof(f39,axiom,
! [X0,X1,X2] :
( r2_hidden(X0,k5_xboole_0(X1,X2))
<=> ~ ( r2_hidden(X0,X1)
<=> r2_hidden(X0,X2) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+2.ax',t1_xboole_0) ).
fof(f40,axiom,
! [X0,X1,X2] :
( ! [X3] :
( ~ r2_hidden(X3,X0)
<=> ( r2_hidden(X3,X1)
<=> r2_hidden(X3,X2) ) )
=> X0 = k5_xboole_0(X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+2.ax',t2_xboole_0) ).
fof(f41,axiom,
! [X0,X1] :
( ~ ( r1_xboole_0(X0,X1)
& ? [X2] :
( r2_hidden(X2,X1)
& r2_hidden(X2,X0) ) )
& ~ ( ! [X2] :
~ ( r2_hidden(X2,X1)
& r2_hidden(X2,X0) )
& ~ r1_xboole_0(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+2.ax',t3_xboole_0) ).
fof(f42,axiom,
! [X0,X1] :
( ~ ( r1_xboole_0(X0,X1)
& ? [X2] : r2_hidden(X2,k3_xboole_0(X0,X1)) )
& ~ ( ! [X2] : ~ r2_hidden(X2,k3_xboole_0(X0,X1))
& ~ r1_xboole_0(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+2.ax',t4_xboole_0) ).
fof(f47,axiom,
! [X0,X1] :
( r1_xboole_0(X0,X1)
=> r1_xboole_0(X1,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+2.ax',symmetry_r1_xboole_0) ).
fof(f55,axiom,
! [X0,X1] : k2_xboole_0(X0,X0) = X0,
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+2.ax',idempotence_k2_xboole_0) ).
fof(f57,axiom,
! [X0,X1] : k3_xboole_0(X0,X1) = k3_xboole_0(X1,X0),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+2.ax',commutativity_k3_xboole_0) ).
fof(f61,axiom,
! [X0,X1] : k5_xboole_0(X0,X1) = k5_xboole_0(X1,X0),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+2.ax',commutativity_k5_xboole_0) ).
fof(f62,axiom,
! [X0] : k2_xboole_0(X0,k1_xboole_0) = X0,
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+3.ax',t1_boole) ).
fof(f63,axiom,
! [X0] : k3_xboole_0(X0,k1_xboole_0) = k1_xboole_0,
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+3.ax',t2_boole) ).
fof(f64,axiom,
! [X0] : k4_xboole_0(X0,k1_xboole_0) = X0,
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+3.ax',t3_boole) ).
fof(f65,axiom,
! [X0] : k4_xboole_0(k1_xboole_0,X0) = k1_xboole_0,
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+3.ax',t4_boole) ).
fof(f66,axiom,
! [X0] : k5_xboole_0(X0,k1_xboole_0) = X0,
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+3.ax',t5_boole) ).
fof(f68,axiom,
! [X0,X1] :
~ ( v1_xboole_0(X1)
& r2_hidden(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+3.ax',t7_boole) ).
fof(f69,axiom,
! [X0,X1] :
~ ( v1_xboole_0(X1)
& X0 != X1
& v1_xboole_0(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+3.ax',t8_boole) ).
fof(f70,axiom,
! [X0,X1,X2] :
( ( r1_tarski(X1,X2)
& r1_tarski(X0,X1) )
=> r1_tarski(X0,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+4.ax',t1_xboole_1) ).
fof(f71,axiom,
! [X0] : r1_tarski(k1_xboole_0,X0),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+4.ax',t2_xboole_1) ).
fof(f72,axiom,
! [X0] :
( r1_tarski(X0,k1_xboole_0)
=> X0 = k1_xboole_0 ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+4.ax',t3_xboole_1) ).
fof(f73,axiom,
! [X0,X1,X2] : k2_xboole_0(k2_xboole_0(X0,X1),X2) = k2_xboole_0(X0,k2_xboole_0(X1,X2)),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+4.ax',t4_xboole_1) ).
fof(f74,axiom,
! [X0,X1,X2] : k2_xboole_0(k2_xboole_0(X0,X1),X2) = k2_xboole_0(k2_xboole_0(X0,X2),k2_xboole_0(X1,X2)),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+4.ax',t5_xboole_1) ).
fof(f75,axiom,
! [X0,X1] : k2_xboole_0(X0,k2_xboole_0(X0,X1)) = k2_xboole_0(X0,X1),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+4.ax',t6_xboole_1) ).
fof(f76,axiom,
! [X0,X1] : r1_tarski(X0,k2_xboole_0(X0,X1)),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+4.ax',t7_xboole_1) ).
fof(f77,axiom,
! [X0,X1,X2] :
( ( r1_tarski(X2,X1)
& r1_tarski(X0,X1) )
=> r1_tarski(k2_xboole_0(X0,X2),X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+4.ax',t8_xboole_1) ).
fof(f78,axiom,
! [X0,X1,X2] :
( r1_tarski(X0,X1)
=> r1_tarski(k2_xboole_0(X0,X2),k2_xboole_0(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+4.ax',t9_xboole_1) ).
fof(f79,axiom,
! [X0,X1,X2] :
( r1_tarski(X0,X1)
=> r1_tarski(X0,k2_xboole_0(X2,X1)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+4.ax',t10_xboole_1) ).
fof(f80,axiom,
! [X0,X1,X2] :
( r1_tarski(k2_xboole_0(X0,X1),X2)
=> r1_tarski(X0,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+4.ax',t11_xboole_1) ).
fof(f81,axiom,
! [X0,X1] :
( r1_tarski(X0,X1)
=> k2_xboole_0(X0,X1) = X1 ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+4.ax',t12_xboole_1) ).
fof(f82,axiom,
! [X0,X1,X2,X3] :
( ( r1_tarski(X2,X3)
& r1_tarski(X0,X1) )
=> r1_tarski(k2_xboole_0(X0,X2),k2_xboole_0(X1,X3)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+4.ax',t13_xboole_1) ).
fof(f83,axiom,
! [X0,X1,X2] :
( ( ! [X3] :
( ( r1_tarski(X2,X3)
& r1_tarski(X0,X3) )
=> r1_tarski(X1,X3) )
& r1_tarski(X2,X1)
& r1_tarski(X0,X1) )
=> X1 = k2_xboole_0(X0,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+4.ax',t14_xboole_1) ).
fof(f84,axiom,
! [X0,X1] :
( k2_xboole_0(X0,X1) = k1_xboole_0
=> X0 = k1_xboole_0 ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+4.ax',t15_xboole_1) ).
fof(f85,axiom,
! [X0,X1,X2] : k3_xboole_0(k3_xboole_0(X0,X1),X2) = k3_xboole_0(X0,k3_xboole_0(X1,X2)),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+4.ax',t16_xboole_1) ).
fof(f88,axiom,
! [X0,X1,X2] :
( ( r1_tarski(X0,X2)
& r1_tarski(X0,X1) )
=> r1_tarski(X0,k3_xboole_0(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+4.ax',t19_xboole_1) ).
fof(f89,axiom,
! [X0,X1,X2] :
( ( ! [X3] :
( ( r1_tarski(X3,X2)
& r1_tarski(X3,X1) )
=> r1_tarski(X3,X0) )
& r1_tarski(X0,X2)
& r1_tarski(X0,X1) )
=> X0 = k3_xboole_0(X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+4.ax',t20_xboole_1) ).
fof(f91,axiom,
! [X0,X1] : k2_xboole_0(X0,k3_xboole_0(X0,X1)) = X0,
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+4.ax',t22_xboole_1) ).
fof(f92,axiom,
! [X0,X1,X2] : k3_xboole_0(X0,k2_xboole_0(X1,X2)) = k2_xboole_0(k3_xboole_0(X0,X1),k3_xboole_0(X0,X2)),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+4.ax',t23_xboole_1) ).
fof(f93,axiom,
! [X0,X1,X2] : k2_xboole_0(X0,k3_xboole_0(X1,X2)) = k3_xboole_0(k2_xboole_0(X0,X1),k2_xboole_0(X0,X2)),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+4.ax',t24_xboole_1) ).
fof(f94,axiom,
! [X0,X1,X2] : k2_xboole_0(k2_xboole_0(k3_xboole_0(X0,X1),k3_xboole_0(X1,X2)),k3_xboole_0(X2,X0)) = k3_xboole_0(k3_xboole_0(k2_xboole_0(X0,X1),k2_xboole_0(X1,X2)),k2_xboole_0(X2,X0)),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+4.ax',t25_xboole_1) ).
fof(f95,axiom,
! [X0,X1,X2] :
( r1_tarski(X0,X1)
=> r1_tarski(k3_xboole_0(X0,X2),k3_xboole_0(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+4.ax',t26_xboole_1) ).
fof(f96,axiom,
! [X0,X1,X2,X3] :
( ( r1_tarski(X2,X3)
& r1_tarski(X0,X1) )
=> r1_tarski(k3_xboole_0(X0,X2),k3_xboole_0(X1,X3)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+4.ax',t27_xboole_1) ).
fof(f97,axiom,
! [X0,X1] :
( r1_tarski(X0,X1)
=> k3_xboole_0(X0,X1) = X0 ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+4.ax',t28_xboole_1) ).
fof(f98,axiom,
! [X0,X1,X2] : r1_tarski(k3_xboole_0(X0,X1),k2_xboole_0(X0,X2)),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+4.ax',t29_xboole_1) ).
fof(f99,axiom,
! [X0,X1,X2] :
( r1_tarski(X0,X1)
=> k2_xboole_0(X0,k3_xboole_0(X2,X1)) = k3_xboole_0(k2_xboole_0(X0,X2),X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+4.ax',t30_xboole_1) ).
fof(f100,axiom,
! [X0,X1,X2] : r1_tarski(k2_xboole_0(k3_xboole_0(X0,X1),k3_xboole_0(X0,X2)),k2_xboole_0(X1,X2)),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+4.ax',t31_xboole_1) ).
fof(f101,axiom,
! [X0,X1] :
( k4_xboole_0(X0,X1) = k4_xboole_0(X1,X0)
=> X0 = X1 ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+4.ax',t32_xboole_1) ).
fof(f102,axiom,
! [X0,X1,X2] :
( r1_tarski(X0,X1)
=> r1_tarski(k4_xboole_0(X0,X2),k4_xboole_0(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+4.ax',t33_xboole_1) ).
fof(f103,axiom,
! [X0,X1,X2] :
( r1_tarski(X0,X1)
=> r1_tarski(k4_xboole_0(X2,X1),k4_xboole_0(X2,X0)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+4.ax',t34_xboole_1) ).
fof(f104,axiom,
! [X0,X1,X2,X3] :
( ( r1_tarski(X2,X3)
& r1_tarski(X0,X1) )
=> r1_tarski(k4_xboole_0(X0,X3),k4_xboole_0(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+4.ax',t35_xboole_1) ).
fof(f105,axiom,
! [X0,X1] : r1_tarski(k4_xboole_0(X0,X1),X0),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+4.ax',t36_xboole_1) ).
fof(f106,axiom,
! [X0,X1] :
( k4_xboole_0(X0,X1) = k1_xboole_0
<=> r1_tarski(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+4.ax',t37_xboole_1) ).
fof(f107,axiom,
! [X0,X1] :
( r1_tarski(X0,k4_xboole_0(X1,X0))
=> X0 = k1_xboole_0 ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+4.ax',t38_xboole_1) ).
fof(f108,axiom,
! [X0,X1] : k2_xboole_0(X0,k4_xboole_0(X1,X0)) = k2_xboole_0(X0,X1),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+4.ax',t39_xboole_1) ).
fof(f109,axiom,
! [X0,X1] : k4_xboole_0(k2_xboole_0(X0,X1),X1) = k4_xboole_0(X0,X1),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+4.ax',t40_xboole_1) ).
fof(f110,axiom,
! [X0,X1,X2] : k4_xboole_0(k4_xboole_0(X0,X1),X2) = k4_xboole_0(X0,k2_xboole_0(X1,X2)),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+4.ax',t41_xboole_1) ).
fof(f111,axiom,
! [X0,X1,X2] : k4_xboole_0(k2_xboole_0(X0,X1),X2) = k2_xboole_0(k4_xboole_0(X0,X2),k4_xboole_0(X1,X2)),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+4.ax',t42_xboole_1) ).
fof(f112,axiom,
! [X0,X1,X2] :
( r1_tarski(X0,k2_xboole_0(X1,X2))
=> r1_tarski(k4_xboole_0(X0,X1),X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+4.ax',t43_xboole_1) ).
fof(f113,axiom,
! [X0,X1,X2] :
( r1_tarski(k4_xboole_0(X0,X1),X2)
=> r1_tarski(X0,k2_xboole_0(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+4.ax',t44_xboole_1) ).
fof(f116,axiom,
! [X0,X1] : k4_xboole_0(X0,k3_xboole_0(X0,X1)) = k4_xboole_0(X0,X1),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+4.ax',t47_xboole_1) ).
fof(f117,axiom,
! [X0,X1] : k4_xboole_0(X0,k4_xboole_0(X0,X1)) = k3_xboole_0(X0,X1),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+4.ax',t48_xboole_1) ).
fof(f118,axiom,
! [X0,X1,X2] : k3_xboole_0(X0,k4_xboole_0(X1,X2)) = k4_xboole_0(k3_xboole_0(X0,X1),X2),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+4.ax',t49_xboole_1) ).
fof(f119,axiom,
! [X0,X1,X2] : k3_xboole_0(X0,k4_xboole_0(X1,X2)) = k4_xboole_0(k3_xboole_0(X0,X1),k3_xboole_0(X0,X2)),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+4.ax',t50_xboole_1) ).
fof(f121,axiom,
! [X0,X1,X2] : k4_xboole_0(X0,k4_xboole_0(X1,X2)) = k2_xboole_0(k4_xboole_0(X0,X1),k3_xboole_0(X0,X2)),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+4.ax',t52_xboole_1) ).
fof(f122,axiom,
! [X0,X1,X2] : k4_xboole_0(X0,k2_xboole_0(X1,X2)) = k3_xboole_0(k4_xboole_0(X0,X1),k4_xboole_0(X0,X2)),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+4.ax',t53_xboole_1) ).
fof(f123,axiom,
! [X0,X1,X2] : k4_xboole_0(X0,k3_xboole_0(X1,X2)) = k2_xboole_0(k4_xboole_0(X0,X1),k4_xboole_0(X0,X2)),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+4.ax',t54_xboole_1) ).
fof(f132,axiom,
! [X0,X1,X2] :
( ( r1_xboole_0(X1,X2)
& r1_tarski(X0,X1) )
=> r1_xboole_0(X0,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+4.ax',t63_xboole_1) ).
fof(f133,axiom,
! [X0,X1,X2,X3] :
( ( r1_xboole_0(X1,X3)
& r1_tarski(X2,X3)
& r1_tarski(X0,X1) )
=> r1_xboole_0(X0,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+4.ax',t64_xboole_1) ).
fof(f134,axiom,
! [X0] : r1_xboole_0(X0,k1_xboole_0),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+4.ax',t65_xboole_1) ).
fof(f135,axiom,
! [X0] :
( ~ ( r1_xboole_0(X0,X0)
& X0 != k1_xboole_0 )
& ~ ( X0 = k1_xboole_0
& ~ r1_xboole_0(X0,X0) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+4.ax',t66_xboole_1) ).
fof(f136,axiom,
! [X0,X1,X2] :
( ( r1_xboole_0(X1,X2)
& r1_tarski(X0,X2)
& r1_tarski(X0,X1) )
=> X0 = k1_xboole_0 ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+4.ax',t67_xboole_1) ).
fof(f137,axiom,
! [X0,X1,X2] :
( ~ v1_xboole_0(X2)
=> ~ ( r1_xboole_0(X0,X1)
& r1_tarski(X2,X1)
& r1_tarski(X2,X0) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+4.ax',t68_xboole_1) ).
fof(f138,axiom,
! [X0,X1] :
( ~ v1_xboole_0(X1)
=> ~ ( r1_xboole_0(X1,X0)
& r1_tarski(X1,X0) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+4.ax',t69_xboole_1) ).
fof(f139,axiom,
! [X0,X1,X2] :
( ~ ( r1_xboole_0(X0,k2_xboole_0(X1,X2))
& ~ ( r1_xboole_0(X0,X2)
& r1_xboole_0(X0,X1) ) )
& ~ ( r1_xboole_0(X0,X2)
& r1_xboole_0(X0,X1)
& ~ r1_xboole_0(X0,k2_xboole_0(X1,X2)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+4.ax',t70_xboole_1) ).
fof(f140,axiom,
! [X0,X1,X2] :
( ( r1_xboole_0(X2,X1)
& r1_xboole_0(X0,X1)
& k2_xboole_0(X0,X1) = k2_xboole_0(X2,X1) )
=> X0 = X2 ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+4.ax',t71_xboole_1) ).
fof(f141,axiom,
! [X0,X1,X2,X3] :
( ( r1_xboole_0(X3,X1)
& r1_xboole_0(X2,X0)
& k2_xboole_0(X0,X1) = k2_xboole_0(X2,X3) )
=> X2 = X1 ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+4.ax',t72_xboole_1) ).
fof(f142,axiom,
! [X0,X1,X2] :
( ( r1_xboole_0(X0,X2)
& r1_tarski(X0,k2_xboole_0(X1,X2)) )
=> r1_tarski(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+4.ax',t73_xboole_1) ).
fof(f144,axiom,
! [X0,X1] :
~ ( r1_xboole_0(k3_xboole_0(X0,X1),X1)
& ~ r1_xboole_0(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+4.ax',t75_xboole_1) ).
fof(f145,axiom,
! [X0,X1,X2] :
( r1_xboole_0(X0,X1)
=> r1_xboole_0(k3_xboole_0(X2,X0),k3_xboole_0(X2,X1)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+4.ax',t76_xboole_1) ).
fof(f146,axiom,
! [X0,X1,X2] :
~ ( r1_xboole_0(X0,k3_xboole_0(X1,X2))
& r1_tarski(X0,X2)
& ~ r1_xboole_0(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+4.ax',t77_xboole_1) ).
fof(f147,axiom,
! [X0,X1,X2] :
( r1_xboole_0(X0,X1)
=> k3_xboole_0(X0,k2_xboole_0(X1,X2)) = k3_xboole_0(X0,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+4.ax',t78_xboole_1) ).
fof(f148,axiom,
! [X0,X1] : r1_xboole_0(k4_xboole_0(X0,X1),X1),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+4.ax',t79_xboole_1) ).
fof(f149,axiom,
! [X0,X1,X2] :
( r1_xboole_0(X0,X1)
=> r1_xboole_0(X0,k4_xboole_0(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+4.ax',t80_xboole_1) ).
fof(f150,axiom,
! [X0,X1,X2] :
( r1_xboole_0(X0,k4_xboole_0(X1,X2))
=> r1_xboole_0(X1,k4_xboole_0(X0,X2)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+4.ax',t81_xboole_1) ).
fof(f151,axiom,
! [X0,X1] : r1_xboole_0(k4_xboole_0(X0,X1),k4_xboole_0(X1,X0)),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+4.ax',t82_xboole_1) ).
fof(f152,axiom,
! [X0,X1] :
( r1_xboole_0(X0,X1)
<=> k4_xboole_0(X0,X1) = X0 ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+4.ax',t83_xboole_1) ).
fof(f153,axiom,
! [X0,X1,X2] :
~ ( r1_xboole_0(X0,k4_xboole_0(X1,X2))
& r1_xboole_0(X0,X2)
& ~ r1_xboole_0(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+4.ax',t84_xboole_1) ).
fof(f154,axiom,
! [X0,X1,X2] :
( r1_tarski(X0,X1)
=> r1_xboole_0(X0,k4_xboole_0(X2,X1)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+4.ax',t85_xboole_1) ).
fof(f155,axiom,
! [X0,X1,X2] :
( ( r1_xboole_0(X0,X2)
& r1_tarski(X0,X1) )
=> r1_tarski(X0,k4_xboole_0(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+4.ax',t86_xboole_1) ).
fof(f156,axiom,
! [X0,X1,X2] :
( r1_xboole_0(X0,X1)
=> k2_xboole_0(k4_xboole_0(X2,X0),X1) = k4_xboole_0(k2_xboole_0(X2,X1),X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+4.ax',t87_xboole_1) ).
fof(f159,axiom,
! [X0,X1] : r1_xboole_0(k4_xboole_0(X0,k3_xboole_0(X0,X1)),X1),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+4.ax',t90_xboole_1) ).
fof(f160,axiom,
! [X0,X1,X2] : k5_xboole_0(k5_xboole_0(X0,X1),X2) = k5_xboole_0(X0,k5_xboole_0(X1,X2)),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+4.ax',t91_xboole_1) ).
fof(f161,axiom,
! [X0] : k5_xboole_0(X0,X0) = k1_xboole_0,
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+4.ax',t92_xboole_1) ).
fof(f162,axiom,
! [X0,X1] : k2_xboole_0(X0,X1) = k2_xboole_0(k5_xboole_0(X0,X1),k3_xboole_0(X0,X1)),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+4.ax',t93_xboole_1) ).
fof(f164,axiom,
! [X0,X1] : k3_xboole_0(X0,X1) = k5_xboole_0(k5_xboole_0(X0,X1),k2_xboole_0(X0,X1)),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+4.ax',t95_xboole_1) ).
fof(f165,axiom,
! [X0,X1] : r1_tarski(k4_xboole_0(X0,X1),k5_xboole_0(X0,X1)),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+4.ax',t96_xboole_1) ).
fof(f166,axiom,
! [X0,X1,X2] :
( ( r1_tarski(k4_xboole_0(X1,X0),X2)
& r1_tarski(k4_xboole_0(X0,X1),X2) )
=> r1_tarski(k5_xboole_0(X0,X1),X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+4.ax',t97_xboole_1) ).
fof(f167,axiom,
! [X0,X1] : k2_xboole_0(X0,X1) = k5_xboole_0(X0,k4_xboole_0(X1,X0)),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+4.ax',t98_xboole_1) ).
fof(f169,axiom,
! [X0,X1] : k4_xboole_0(X0,X1) = k5_xboole_0(X0,k3_xboole_0(X0,X1)),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+4.ax',t100_xboole_1) ).
fof(f170,axiom,
! [X0,X1] : k5_xboole_0(X0,X1) = k4_xboole_0(k2_xboole_0(X0,X1),k3_xboole_0(X0,X1)),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+4.ax',t101_xboole_1) ).
fof(f171,axiom,
! [X0,X1,X2] : k4_xboole_0(X0,k5_xboole_0(X1,X2)) = k2_xboole_0(k4_xboole_0(X0,k2_xboole_0(X1,X2)),k3_xboole_0(k3_xboole_0(X0,X1),X2)),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+4.ax',t102_xboole_1) ).
fof(f172,axiom,
! [X0,X1] : r1_xboole_0(k3_xboole_0(X0,X1),k5_xboole_0(X0,X1)),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+4.ax',t103_xboole_1) ).
fof(f175,axiom,
! [X0,X1,X2] :
( r1_tarski(X0,k4_xboole_0(X1,X2))
=> ( r1_xboole_0(X0,X2)
& r1_tarski(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+4.ax',t106_xboole_1) ).
fof(f176,axiom,
! [X0,X1,X2] :
( r1_tarski(X0,k5_xboole_0(X1,X2))
<=> ( r1_xboole_0(X0,k3_xboole_0(X1,X2))
& r1_tarski(X0,k2_xboole_0(X1,X2)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+4.ax',t107_xboole_1) ).
fof(f178,axiom,
! [X0,X1,X2] :
( r1_tarski(X0,X1)
=> r1_tarski(k4_xboole_0(X0,X2),X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+4.ax',t109_xboole_1) ).
fof(f179,axiom,
! [X0,X1,X2] :
( ( r1_tarski(X2,X1)
& r1_tarski(X0,X1) )
=> r1_tarski(k5_xboole_0(X0,X2),X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+4.ax',t110_xboole_1) ).
fof(f180,axiom,
! [X0,X1,X2] : k4_xboole_0(k3_xboole_0(X0,X1),k3_xboole_0(X2,X1)) = k3_xboole_0(k4_xboole_0(X0,X2),X1),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+4.ax',t111_xboole_1) ).
fof(f181,axiom,
! [X0,X1,X2] : k5_xboole_0(k3_xboole_0(X0,X1),k3_xboole_0(X2,X1)) = k3_xboole_0(k5_xboole_0(X0,X2),X1),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+4.ax',t112_xboole_1) ).
fof(f183,axiom,
! [X0,X1,X2,X3] :
( ( r1_xboole_0(X2,X3)
& r1_xboole_0(X1,X3)
& r1_xboole_0(X0,X3) )
=> r1_xboole_0(k2_xboole_0(k2_xboole_0(X0,X1),X2),X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+4.ax',t114_xboole_1) ).
fof(f184,axiom,
! [X0,X1,X2,X3] :
( X3 = k1_enumset1(X0,X1,X2)
<=> ! [X4] :
( r2_hidden(X4,X3)
<=> ~ ( X4 != X2
& X4 != X1
& X4 != X0 ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+5.ax',d1_enumset1) ).
fof(f185,axiom,
! [X0,X1,X2,X3,X4] :
( X4 = k2_enumset1(X0,X1,X2,X3)
<=> ! [X5] :
( r2_hidden(X5,X4)
<=> ~ ( X5 != X3
& X5 != X2
& X5 != X1
& X5 != X0 ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+5.ax',d2_enumset1) ).
fof(f232,axiom,
! [X0,X1,X2] : k1_enumset1(X0,X1,X2) = k2_xboole_0(k2_tarski(X0,X1),k1_tarski(X2)),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+5.ax',t43_enumset1) ).
fof(f233,axiom,
! [X0,X1,X2,X3] : k2_enumset1(X0,X1,X2,X3) = k2_xboole_0(k1_tarski(X0),k1_enumset1(X1,X2,X3)),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+5.ax',t44_enumset1) ).
fof(f234,axiom,
! [X0,X1,X2,X3] : k2_enumset1(X0,X1,X2,X3) = k2_xboole_0(k2_tarski(X0,X1),k2_tarski(X2,X3)),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+5.ax',t45_enumset1) ).
fof(f235,axiom,
! [X0,X1,X2,X3] : k2_enumset1(X0,X1,X2,X3) = k2_xboole_0(k1_enumset1(X0,X1,X2),k1_tarski(X3)),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+5.ax',t46_enumset1) ).
fof(f259,axiom,
! [X0,X1] : k1_enumset1(X0,X0,X1) = k2_tarski(X0,X1),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+5.ax',t70_enumset1) ).
fof(f260,axiom,
! [X0,X1,X2] : k2_enumset1(X0,X0,X1,X2) = k1_enumset1(X0,X1,X2),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+5.ax',t71_enumset1) ).
fof(f265,axiom,
! [X0] : k1_enumset1(X0,X0,X0) = k1_tarski(X0),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+5.ax',t76_enumset1) ).
fof(f266,axiom,
! [X0,X1] : k2_enumset1(X0,X0,X0,X1) = k2_tarski(X0,X1),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+5.ax',t77_enumset1) ).
fof(f288,axiom,
! [X0,X1,X2] : k1_enumset1(X0,X1,X2) = k1_enumset1(X1,X0,X2),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+5.ax',t99_enumset1) ).
fof(f289,axiom,
! [X0,X1,X2] : k1_enumset1(X0,X1,X2) = k1_enumset1(X1,X2,X0),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+5.ax',t100_enumset1) ).
fof(f291,axiom,
! [X0,X1,X2] : k1_enumset1(X0,X1,X2) = k1_enumset1(X2,X1,X0),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+5.ax',t102_enumset1) ).
fof(f292,axiom,
! [X0,X1,X2,X3] : k2_enumset1(X0,X1,X2,X3) = k2_enumset1(X0,X1,X3,X2),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+5.ax',t103_enumset1) ).
fof(f293,axiom,
! [X0,X1,X2,X3] : k2_enumset1(X0,X1,X2,X3) = k2_enumset1(X0,X2,X1,X3),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+5.ax',t104_enumset1) ).
fof(f294,axiom,
! [X0,X1,X2,X3] : k2_enumset1(X0,X1,X2,X3) = k2_enumset1(X0,X2,X3,X1),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+5.ax',t105_enumset1) ).
fof(f296,axiom,
! [X0,X1,X2,X3] : k2_enumset1(X0,X1,X2,X3) = k2_enumset1(X0,X3,X2,X1),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+5.ax',t107_enumset1) ).
fof(f297,axiom,
! [X0,X1,X2,X3] : k2_enumset1(X0,X1,X2,X3) = k2_enumset1(X1,X0,X2,X3),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+5.ax',t108_enumset1) ).
fof(f298,axiom,
! [X0,X1,X2,X3] : k2_enumset1(X0,X1,X2,X3) = k2_enumset1(X1,X0,X3,X2),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+5.ax',t109_enumset1) ).
fof(f299,axiom,
! [X0,X1,X2,X3] : k2_enumset1(X0,X1,X2,X3) = k2_enumset1(X1,X2,X0,X3),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+5.ax',t110_enumset1) ).
fof(f300,axiom,
! [X0,X1,X2,X3] : k2_enumset1(X0,X1,X2,X3) = k2_enumset1(X1,X2,X3,X0),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+5.ax',t111_enumset1) ).
fof(f301,axiom,
! [X0,X1,X2,X3] : k2_enumset1(X0,X1,X2,X3) = k2_enumset1(X1,X3,X0,X2),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+5.ax',t112_enumset1) ).
fof(f302,axiom,
! [X0,X1,X2,X3] : k2_enumset1(X0,X1,X2,X3) = k2_enumset1(X1,X3,X2,X0),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+5.ax',t113_enumset1) ).
fof(f305,axiom,
! [X0,X1,X2,X3] : k2_enumset1(X0,X1,X2,X3) = k2_enumset1(X2,X1,X0,X3),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+5.ax',t116_enumset1) ).
fof(f306,axiom,
! [X0,X1,X2,X3] : k2_enumset1(X0,X1,X2,X3) = k2_enumset1(X2,X1,X3,X0),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+5.ax',t117_enumset1) ).
fof(f307,axiom,
! [X0,X1,X2,X3] : k2_enumset1(X0,X1,X2,X3) = k2_enumset1(X2,X3,X0,X1),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+5.ax',t118_enumset1) ).
fof(f308,axiom,
! [X0,X1,X2,X3] : k2_enumset1(X0,X1,X2,X3) = k2_enumset1(X2,X3,X1,X0),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+5.ax',t119_enumset1) ).
fof(f312,axiom,
! [X0,X1,X2,X3] : k2_enumset1(X0,X1,X2,X3) = k2_enumset1(X3,X1,X2,X0),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+5.ax',t123_enumset1) ).
fof(f314,axiom,
! [X0,X1,X2,X3] : k2_enumset1(X0,X1,X2,X3) = k2_enumset1(X3,X2,X1,X0),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+5.ax',t125_enumset1) ).
fof(f322,axiom,
! [X0,X1] :
( X1 = k1_zfmisc_1(X0)
<=> ! [X2] :
( r2_hidden(X2,X1)
<=> r1_tarski(X2,X0) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+6.ax',d1_zfmisc_1) ).
fof(f323,axiom,
! [X0,X1,X2] :
( X2 = k2_zfmisc_1(X0,X1)
<=> ! [X3] :
( r2_hidden(X3,X2)
<=> ? [X4,X5] :
( X3 = k4_tarski(X4,X5)
& r2_hidden(X5,X1)
& r2_hidden(X4,X0) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+6.ax',d2_zfmisc_1) ).
fof(f326,axiom,
k1_zfmisc_1(k1_xboole_0) = k1_tarski(k1_xboole_0),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+6.ax',t1_zfmisc_1) ).
fof(f327,axiom,
k3_tarski(k1_xboole_0) = k1_xboole_0,
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+6.ax',t2_zfmisc_1) ).
fof(f333,axiom,
! [X0,X1,X2] :
( k1_tarski(X0) = k2_tarski(X1,X2)
=> X0 = X1 ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+6.ax',t8_zfmisc_1) ).
fof(f334,axiom,
! [X0,X1,X2] :
( k1_tarski(X0) = k2_tarski(X1,X2)
=> X1 = X2 ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+6.ax',t9_zfmisc_1) ).
fof(f335,axiom,
! [X0,X1,X2,X3] :
~ ( X0 != X3
& X0 != X2
& k2_tarski(X0,X1) = k2_tarski(X2,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+6.ax',t10_zfmisc_1) ).
fof(f338,axiom,
! [X0,X1] :
( k2_xboole_0(k1_tarski(X0),k1_tarski(X1)) = k1_tarski(X0)
=> X0 = X1 ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+6.ax',t13_zfmisc_1) ).
fof(f341,axiom,
! [X0,X1] :
~ ( X0 = X1
& r1_xboole_0(k1_tarski(X0),k1_tarski(X1)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+6.ax',t16_zfmisc_1) ).
fof(f342,axiom,
! [X0,X1] :
( X0 != X1
=> r1_xboole_0(k1_tarski(X0),k1_tarski(X1)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+6.ax',t17_zfmisc_1) ).
fof(f343,axiom,
! [X0,X1] :
( k3_xboole_0(k1_tarski(X0),k1_tarski(X1)) = k1_tarski(X0)
=> X0 = X1 ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+6.ax',t18_zfmisc_1) ).
fof(f344,axiom,
! [X0,X1] : k3_xboole_0(k1_tarski(X0),k2_tarski(X0,X1)) = k1_tarski(X0),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+6.ax',t19_zfmisc_1) ).
fof(f345,axiom,
! [X0,X1] :
( k4_xboole_0(k1_tarski(X0),k1_tarski(X1)) = k1_tarski(X0)
<=> X0 != X1 ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+6.ax',t20_zfmisc_1) ).
fof(f346,axiom,
! [X0,X1] :
( k4_xboole_0(k1_tarski(X0),k1_tarski(X1)) = k1_xboole_0
=> X0 = X1 ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+6.ax',t21_zfmisc_1) ).
fof(f348,axiom,
! [X0,X1] :
( X0 != X1
=> k4_xboole_0(k2_tarski(X0,X1),k1_tarski(X1)) = k1_tarski(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+6.ax',t23_zfmisc_1) ).
fof(f351,axiom,
! [X0,X1,X2] :
( r1_tarski(k2_tarski(X0,X1),k1_tarski(X2))
=> X0 = X2 ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+6.ax',t26_zfmisc_1) ).
fof(f352,axiom,
! [X0,X1,X2] :
( r1_tarski(k2_tarski(X0,X1),k1_tarski(X2))
=> k2_tarski(X0,X1) = k1_tarski(X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+6.ax',t27_zfmisc_1) ).
fof(f353,axiom,
! [X0,X1,X2,X3] :
~ ( X0 != X3
& X0 != X2
& r1_tarski(k2_tarski(X0,X1),k2_tarski(X2,X3)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+6.ax',t28_zfmisc_1) ).
fof(f354,axiom,
! [X0,X1] :
( X0 != X1
=> k5_xboole_0(k1_tarski(X0),k1_tarski(X1)) = k2_tarski(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+6.ax',t29_zfmisc_1) ).
fof(f355,axiom,
! [X0] : k1_zfmisc_1(k1_tarski(X0)) = k2_tarski(k1_xboole_0,k1_tarski(X0)),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+6.ax',t30_zfmisc_1) ).
fof(f358,axiom,
! [X0,X1,X2,X3] :
( k4_tarski(X0,X1) = k4_tarski(X2,X3)
=> ( X1 = X3
& X0 = X2 ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+6.ax',t33_zfmisc_1) ).
fof(f359,axiom,
! [X0,X1,X2,X3] :
( r2_hidden(k4_tarski(X0,X1),k2_zfmisc_1(k1_tarski(X2),k1_tarski(X3)))
<=> ( X1 = X3
& X0 = X2 ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+6.ax',t34_zfmisc_1) ).
fof(f361,axiom,
! [X0,X1,X2] :
( k2_zfmisc_1(k2_tarski(X0,X1),k1_tarski(X2)) = k2_tarski(k4_tarski(X0,X2),k4_tarski(X1,X2))
& k2_zfmisc_1(k1_tarski(X0),k2_tarski(X1,X2)) = k2_tarski(k4_tarski(X0,X1),k4_tarski(X0,X2)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+6.ax',t36_zfmisc_1) ).
fof(f362,axiom,
! [X0,X1] :
( r1_tarski(k1_tarski(X0),X1)
<=> r2_hidden(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+6.ax',t37_zfmisc_1) ).
fof(f363,axiom,
! [X0,X1,X2] :
( r1_tarski(k2_tarski(X0,X1),X2)
<=> ( r2_hidden(X1,X2)
& r2_hidden(X0,X2) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+6.ax',t38_zfmisc_1) ).
fof(f364,axiom,
! [X0,X1] :
( r1_tarski(X0,k1_tarski(X1))
<=> ( X0 = k1_tarski(X1)
| X0 = k1_xboole_0 ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+6.ax',t39_zfmisc_1) ).
fof(f365,axiom,
! [X0,X1,X2] :
( r1_tarski(X0,X1)
=> ( r1_tarski(X0,k4_xboole_0(X1,k1_tarski(X2)))
| r2_hidden(X2,X0) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+6.ax',t40_zfmisc_1) ).
fof(f366,axiom,
! [X0,X1] :
~ ( ! [X2] :
~ ( X2 != X1
& r2_hidden(X2,X0) )
& X0 != k1_xboole_0
& X0 != k1_tarski(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+6.ax',t41_zfmisc_1) ).
fof(f367,axiom,
! [X0,X1,X2] :
( r1_tarski(X0,k2_tarski(X1,X2))
<=> ~ ( X0 != k2_tarski(X1,X2)
& X0 != k1_tarski(X2)
& X0 != k1_tarski(X1)
& X0 != k1_xboole_0 ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+6.ax',t42_zfmisc_1) ).
fof(f368,axiom,
! [X0,X1,X2] :
~ ( ~ ( X2 = k1_xboole_0
& X1 = k1_tarski(X0) )
& ~ ( X2 = k1_tarski(X0)
& X1 = k1_xboole_0 )
& ~ ( X2 = k1_tarski(X0)
& X1 = k1_tarski(X0) )
& k1_tarski(X0) = k2_xboole_0(X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+6.ax',t43_zfmisc_1) ).
fof(f369,axiom,
! [X0,X1,X2] :
~ ( X2 != k1_xboole_0
& X1 != k1_xboole_0
& X1 != X2
& k1_tarski(X0) = k2_xboole_0(X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+6.ax',t44_zfmisc_1) ).
fof(f371,axiom,
! [X0,X1] :
( r2_hidden(X0,X1)
=> k2_xboole_0(k1_tarski(X0),X1) = X1 ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+6.ax',t46_zfmisc_1) ).
fof(f372,axiom,
! [X0,X1,X2] :
( r1_tarski(k2_xboole_0(k2_tarski(X0,X1),X2),X2)
=> r2_hidden(X0,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+6.ax',t47_zfmisc_1) ).
fof(f373,axiom,
! [X0,X1,X2] :
( ( r2_hidden(X2,X1)
& r2_hidden(X0,X1) )
=> k2_xboole_0(k2_tarski(X0,X2),X1) = X1 ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+6.ax',t48_zfmisc_1) ).
fof(f375,axiom,
! [X0,X1,X2] : k2_xboole_0(k2_tarski(X0,X1),X2) != k1_xboole_0,
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+6.ax',t50_zfmisc_1) ).
fof(f376,axiom,
! [X0,X1] :
( k3_xboole_0(X0,k1_tarski(X1)) = k1_tarski(X1)
=> r2_hidden(X1,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+6.ax',t51_zfmisc_1) ).
fof(f377,axiom,
! [X0,X1] :
( r2_hidden(X0,X1)
=> k3_xboole_0(X1,k1_tarski(X0)) = k1_tarski(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+6.ax',t52_zfmisc_1) ).
fof(f378,axiom,
! [X0,X1,X2] :
( ( r2_hidden(X2,X1)
& r2_hidden(X0,X1) )
=> k3_xboole_0(k2_tarski(X0,X2),X1) = k2_tarski(X0,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+6.ax',t53_zfmisc_1) ).
fof(f380,axiom,
! [X0,X1,X2] :
~ ( r2_hidden(X0,X2)
& r1_xboole_0(k2_tarski(X0,X1),X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+6.ax',t55_zfmisc_1) ).
fof(f381,axiom,
! [X0,X1] :
( ~ r2_hidden(X0,X1)
=> r1_xboole_0(k1_tarski(X0),X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+6.ax',t56_zfmisc_1) ).
fof(f382,axiom,
! [X0,X1,X2] :
~ ( ~ r1_xboole_0(k2_tarski(X0,X2),X1)
& ~ r2_hidden(X2,X1)
& ~ r2_hidden(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+6.ax',t57_zfmisc_1) ).
fof(f384,axiom,
! [X0,X1,X2] :
~ ( X0 != X1
& r2_hidden(X1,X2)
& k3_xboole_0(k2_tarski(X0,X1),X2) = k1_tarski(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+6.ax',t59_zfmisc_1) ).
fof(f385,axiom,
! [X0,X1,X2] :
( r2_hidden(X0,X1)
=> ( k3_xboole_0(k2_tarski(X0,X2),X1) = k1_tarski(X0)
| ( X0 != X2
& r2_hidden(X2,X1) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+6.ax',t60_zfmisc_1) ).
fof(f388,axiom,
! [X0,X1,X2] :
( k3_xboole_0(k2_tarski(X0,X1),X2) = k2_tarski(X0,X1)
=> r2_hidden(X0,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+6.ax',t63_zfmisc_1) ).
fof(f389,axiom,
! [X0,X1,X2] :
( r2_hidden(X0,k4_xboole_0(X1,k1_tarski(X2)))
<=> ( X0 != X2
& r2_hidden(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+6.ax',t64_zfmisc_1) ).
fof(f390,axiom,
! [X0,X1] :
( k4_xboole_0(X0,k1_tarski(X1)) = X0
<=> ~ r2_hidden(X1,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+6.ax',t65_zfmisc_1) ).
fof(f391,axiom,
! [X0,X1] :
~ ( X0 != k1_tarski(X1)
& X0 != k1_xboole_0
& k4_xboole_0(X0,k1_tarski(X1)) = k1_xboole_0 ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+6.ax',t66_zfmisc_1) ).
fof(f393,axiom,
! [X0,X1] :
( k4_xboole_0(k1_tarski(X0),X1) = k1_xboole_0
<=> r2_hidden(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+6.ax',t68_zfmisc_1) ).
fof(f395,axiom,
! [X0,X1,X2] :
( k4_xboole_0(k2_tarski(X0,X1),X2) = k1_tarski(X0)
<=> ( ( X0 = X1
| r2_hidden(X1,X2) )
& ~ r2_hidden(X0,X2) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+6.ax',t70_zfmisc_1) ).
fof(f397,axiom,
! [X0,X1,X2] :
( k4_xboole_0(k2_tarski(X0,X1),X2) = k2_tarski(X0,X1)
<=> ( ~ r2_hidden(X1,X2)
& ~ r2_hidden(X0,X2) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+6.ax',t72_zfmisc_1) ).
fof(f398,axiom,
! [X0,X1,X2] :
( k4_xboole_0(k2_tarski(X0,X1),X2) = k1_xboole_0
<=> ( r2_hidden(X1,X2)
& r2_hidden(X0,X2) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+6.ax',t73_zfmisc_1) ).
fof(f399,axiom,
! [X0,X1,X2] :
~ ( k4_xboole_0(k2_tarski(X0,X1),X2) != k2_tarski(X0,X1)
& k4_xboole_0(k2_tarski(X0,X1),X2) != k1_tarski(X1)
& k4_xboole_0(k2_tarski(X0,X1),X2) != k1_tarski(X0)
& k4_xboole_0(k2_tarski(X0,X1),X2) != k1_xboole_0 ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+6.ax',t74_zfmisc_1) ).
fof(f400,axiom,
! [X0,X1,X2] :
( k4_xboole_0(X0,k2_tarski(X1,X2)) = k1_xboole_0
<=> ~ ( X0 != k2_tarski(X1,X2)
& X0 != k1_tarski(X2)
& X0 != k1_tarski(X1)
& X0 != k1_xboole_0 ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+6.ax',t75_zfmisc_1) ).
fof(f404,axiom,
! [X0,X1] :
( r1_tarski(X0,X1)
=> r1_tarski(k1_zfmisc_1(X0),k1_zfmisc_1(X1)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+6.ax',t79_zfmisc_1) ).
fof(f405,axiom,
! [X0] : r1_tarski(k1_tarski(X0),k1_zfmisc_1(X0)),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+6.ax',t80_zfmisc_1) ).
fof(f406,axiom,
! [X0,X1] : r1_tarski(k2_xboole_0(k1_zfmisc_1(X0),k1_zfmisc_1(X1)),k1_zfmisc_1(k2_xboole_0(X0,X1))),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+6.ax',t81_zfmisc_1) ).
fof(f408,axiom,
! [X0,X1] : k1_zfmisc_1(k3_xboole_0(X0,X1)) = k3_xboole_0(k1_zfmisc_1(X0),k1_zfmisc_1(X1)),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+6.ax',t83_zfmisc_1) ).
fof(f409,axiom,
! [X0,X1] : r1_tarski(k1_zfmisc_1(k4_xboole_0(X0,X1)),k2_xboole_0(k1_tarski(k1_xboole_0),k4_xboole_0(k1_zfmisc_1(X0),k1_zfmisc_1(X1)))),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+6.ax',t84_zfmisc_1) ).
fof(f411,axiom,
! [X0,X1] : r1_tarski(k2_xboole_0(k1_zfmisc_1(k4_xboole_0(X0,X1)),k1_zfmisc_1(k4_xboole_0(X1,X0))),k1_zfmisc_1(k5_xboole_0(X0,X1))),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+6.ax',t86_zfmisc_1) ).
fof(f417,axiom,
! [X0,X1] :
( r2_hidden(X0,X1)
=> r1_tarski(X0,k3_tarski(X1)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+6.ax',t92_zfmisc_1) ).
fof(f418,axiom,
! [X0,X1] : k3_tarski(k2_tarski(X0,X1)) = k2_xboole_0(X0,X1),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+6.ax',t93_zfmisc_1) ).
fof(f419,axiom,
! [X0,X1] :
( ! [X2] :
( r2_hidden(X2,X0)
=> r1_tarski(X2,X1) )
=> r1_tarski(k3_tarski(X0),X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+6.ax',t94_zfmisc_1) ).
fof(f420,axiom,
! [X0,X1] :
( r1_tarski(X0,X1)
=> r1_tarski(k3_tarski(X0),k3_tarski(X1)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+6.ax',t95_zfmisc_1) ).
fof(f421,axiom,
! [X0,X1] : k3_tarski(k2_xboole_0(X0,X1)) = k2_xboole_0(k3_tarski(X0),k3_tarski(X1)),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+6.ax',t96_zfmisc_1) ).
fof(f422,axiom,
! [X0,X1] : r1_tarski(k3_tarski(k3_xboole_0(X0,X1)),k3_xboole_0(k3_tarski(X0),k3_tarski(X1))),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+6.ax',t97_zfmisc_1) ).
fof(f423,axiom,
! [X0,X1] :
( ! [X2] :
( r2_hidden(X2,X0)
=> r1_xboole_0(X2,X1) )
=> r1_xboole_0(k3_tarski(X0),X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+6.ax',t98_zfmisc_1) ).
fof(f424,axiom,
! [X0] : k3_tarski(k1_zfmisc_1(X0)) = X0,
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+6.ax',t99_zfmisc_1) ).
fof(f425,axiom,
! [X0] : r1_tarski(X0,k1_zfmisc_1(k3_tarski(X0))),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+6.ax',t100_zfmisc_1) ).
fof(f426,axiom,
! [X0,X1] :
( ! [X2,X3] :
( ( r2_hidden(X3,k2_xboole_0(X0,X1))
& r2_hidden(X2,k2_xboole_0(X0,X1)) )
=> ( r1_xboole_0(X2,X3)
| X2 = X3 ) )
=> k3_tarski(k3_xboole_0(X0,X1)) = k3_xboole_0(k3_tarski(X0),k3_tarski(X1)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+6.ax',t101_zfmisc_1) ).
fof(f427,axiom,
! [X0,X1,X2] :
~ ( ! [X3,X4] : k4_tarski(X3,X4) != X0
& r2_hidden(X0,k2_zfmisc_1(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+6.ax',t102_zfmisc_1) ).
fof(f428,axiom,
! [X0,X1,X2,X3] :
~ ( ! [X4,X5] :
~ ( X3 = k4_tarski(X4,X5)
& r2_hidden(X5,X2)
& r2_hidden(X4,X1) )
& r2_hidden(X3,X0)
& r1_tarski(X0,k2_zfmisc_1(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+6.ax',t103_zfmisc_1) ).
fof(f429,axiom,
! [X0,X1,X2,X3,X4] :
~ ( ! [X5,X6] :
~ ( r2_hidden(X6,k3_xboole_0(X2,X4))
& r2_hidden(X5,k3_xboole_0(X1,X3))
& X0 = k4_tarski(X5,X6) )
& r2_hidden(X0,k3_xboole_0(k2_zfmisc_1(X1,X2),k2_zfmisc_1(X3,X4))) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+6.ax',t104_zfmisc_1) ).
fof(f430,axiom,
! [X0,X1] : r1_tarski(k2_zfmisc_1(X0,X1),k1_zfmisc_1(k1_zfmisc_1(k2_xboole_0(X0,X1)))),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+6.ax',t105_zfmisc_1) ).
fof(f431,axiom,
! [X0,X1,X2,X3] :
( r2_hidden(k4_tarski(X0,X1),k2_zfmisc_1(X2,X3))
<=> ( r2_hidden(X1,X3)
& r2_hidden(X0,X2) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+6.ax',t106_zfmisc_1) ).
fof(f432,axiom,
! [X0,X1,X2,X3] :
( r2_hidden(k4_tarski(X0,X1),k2_zfmisc_1(X2,X3))
=> r2_hidden(k4_tarski(X1,X0),k2_zfmisc_1(X3,X2)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+6.ax',t107_zfmisc_1) ).
fof(f433,axiom,
! [X0,X1,X2,X3] :
( ! [X4,X5] :
( r2_hidden(k4_tarski(X4,X5),k2_zfmisc_1(X0,X1))
<=> r2_hidden(k4_tarski(X4,X5),k2_zfmisc_1(X2,X3)) )
=> k2_zfmisc_1(X0,X1) = k2_zfmisc_1(X2,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+6.ax',t108_zfmisc_1) ).
fof(f434,axiom,
! [X0,X1,X2,X3] :
( ( ! [X4,X5] :
( r2_hidden(k4_tarski(X4,X5),X0)
=> r2_hidden(k4_tarski(X4,X5),X3) )
& r1_tarski(X0,k2_zfmisc_1(X1,X2)) )
=> r1_tarski(X0,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+6.ax',t109_zfmisc_1) ).
fof(f435,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( ! [X6,X7] :
( r2_hidden(k4_tarski(X6,X7),X0)
<=> r2_hidden(k4_tarski(X6,X7),X3) )
& r1_tarski(X3,k2_zfmisc_1(X4,X5))
& r1_tarski(X0,k2_zfmisc_1(X1,X2)) )
=> X0 = X3 ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+6.ax',t110_zfmisc_1) ).
fof(f436,axiom,
! [X0,X1] :
( ( ! [X2,X3] :
( r2_hidden(k4_tarski(X2,X3),X0)
=> r2_hidden(k4_tarski(X2,X3),X1) )
& ! [X2] :
~ ( ! [X3,X4] : X2 != k4_tarski(X3,X4)
& r2_hidden(X2,X0) ) )
=> r1_tarski(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+6.ax',t111_zfmisc_1) ).
fof(f437,axiom,
! [X0,X1] :
( ( ! [X2,X3] :
( r2_hidden(k4_tarski(X2,X3),X0)
<=> r2_hidden(k4_tarski(X2,X3),X1) )
& ! [X2] :
~ ( ! [X3,X4] : X2 != k4_tarski(X3,X4)
& r2_hidden(X2,X1) )
& ! [X2] :
~ ( ! [X3,X4] : X2 != k4_tarski(X3,X4)
& r2_hidden(X2,X0) ) )
=> X0 = X1 ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+6.ax',t112_zfmisc_1) ).
fof(f438,axiom,
! [X0,X1] :
( k2_zfmisc_1(X0,X1) = k1_xboole_0
<=> ( X1 = k1_xboole_0
| X0 = k1_xboole_0 ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+6.ax',t113_zfmisc_1) ).
fof(f440,axiom,
! [X0,X1] :
( k2_zfmisc_1(X0,X0) = k2_zfmisc_1(X1,X1)
=> X0 = X1 ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+6.ax',t115_zfmisc_1) ).
fof(f442,axiom,
! [X0,X1,X2] :
~ ( ~ r1_tarski(X1,X2)
& ( r1_tarski(k2_zfmisc_1(X0,X1),k2_zfmisc_1(X0,X2))
| r1_tarski(k2_zfmisc_1(X1,X0),k2_zfmisc_1(X2,X0)) )
& X0 != k1_xboole_0 ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+6.ax',t117_zfmisc_1) ).
fof(f443,axiom,
! [X0,X1,X2] :
( r1_tarski(X0,X1)
=> ( r1_tarski(k2_zfmisc_1(X2,X0),k2_zfmisc_1(X2,X1))
& r1_tarski(k2_zfmisc_1(X0,X2),k2_zfmisc_1(X1,X2)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+6.ax',t118_zfmisc_1) ).
fof(f444,axiom,
! [X0,X1,X2,X3] :
( ( r1_tarski(X2,X3)
& r1_tarski(X0,X1) )
=> r1_tarski(k2_zfmisc_1(X0,X2),k2_zfmisc_1(X1,X3)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+6.ax',t119_zfmisc_1) ).
fof(f445,axiom,
! [X0,X1,X2] :
( k2_zfmisc_1(X2,k2_xboole_0(X0,X1)) = k2_xboole_0(k2_zfmisc_1(X2,X0),k2_zfmisc_1(X2,X1))
& k2_zfmisc_1(k2_xboole_0(X0,X1),X2) = k2_xboole_0(k2_zfmisc_1(X0,X2),k2_zfmisc_1(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+6.ax',t120_zfmisc_1) ).
fof(f448,axiom,
! [X0,X1,X2,X3] : k2_zfmisc_1(k3_xboole_0(X0,X1),k3_xboole_0(X2,X3)) = k3_xboole_0(k2_zfmisc_1(X0,X2),k2_zfmisc_1(X1,X3)),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+6.ax',t123_zfmisc_1) ).
fof(f449,axiom,
! [X0,X1,X2,X3] :
( ( r1_tarski(X2,X3)
& r1_tarski(X0,X1) )
=> k3_xboole_0(k2_zfmisc_1(X0,X3),k2_zfmisc_1(X1,X2)) = k2_zfmisc_1(X0,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+6.ax',t124_zfmisc_1) ).
fof(f450,axiom,
! [X0,X1,X2] :
( k2_zfmisc_1(X2,k4_xboole_0(X0,X1)) = k4_xboole_0(k2_zfmisc_1(X2,X0),k2_zfmisc_1(X2,X1))
& k2_zfmisc_1(k4_xboole_0(X0,X1),X2) = k4_xboole_0(k2_zfmisc_1(X0,X2),k2_zfmisc_1(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+6.ax',t125_zfmisc_1) ).
fof(f451,axiom,
! [X0,X1,X2,X3] : k4_xboole_0(k2_zfmisc_1(X0,X1),k2_zfmisc_1(X2,X3)) = k2_xboole_0(k2_zfmisc_1(k4_xboole_0(X0,X2),X1),k2_zfmisc_1(X0,k4_xboole_0(X1,X3))),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+6.ax',t126_zfmisc_1) ).
fof(f452,axiom,
! [X0,X1,X2,X3] :
( ( r1_xboole_0(X2,X3)
| r1_xboole_0(X0,X1) )
=> r1_xboole_0(k2_zfmisc_1(X0,X2),k2_zfmisc_1(X1,X3)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+6.ax',t127_zfmisc_1) ).
fof(f453,axiom,
! [X0,X1,X2,X3] :
( r2_hidden(k4_tarski(X0,X1),k2_zfmisc_1(k1_tarski(X2),X3))
<=> ( r2_hidden(X1,X3)
& X0 = X2 ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+6.ax',t128_zfmisc_1) ).
fof(f454,axiom,
! [X0,X1,X2,X3] :
( r2_hidden(k4_tarski(X0,X1),k2_zfmisc_1(X2,k1_tarski(X3)))
<=> ( X1 = X3
& r2_hidden(X0,X2) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+6.ax',t129_zfmisc_1) ).
fof(f455,axiom,
! [X0,X1] :
( X0 != k1_xboole_0
=> ( k2_zfmisc_1(X0,k1_tarski(X1)) != k1_xboole_0
& k2_zfmisc_1(k1_tarski(X1),X0) != k1_xboole_0 ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+6.ax',t130_zfmisc_1) ).
fof(f456,axiom,
! [X0,X1,X2,X3] :
( X0 != X1
=> ( r1_xboole_0(k2_zfmisc_1(X2,k1_tarski(X0)),k2_zfmisc_1(X3,k1_tarski(X1)))
& r1_xboole_0(k2_zfmisc_1(k1_tarski(X0),X2),k2_zfmisc_1(k1_tarski(X1),X3)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+6.ax',t131_zfmisc_1) ).
fof(f459,axiom,
! [X0,X1,X2,X3] :
( k2_zfmisc_1(X0,X1) = k2_zfmisc_1(X2,X3)
=> ( ( X1 = X3
& X0 = X2 )
| X1 = k1_xboole_0
| X0 = k1_xboole_0 ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+6.ax',t134_zfmisc_1) ).
fof(f460,axiom,
! [X0,X1] :
( ( r1_tarski(X0,k2_zfmisc_1(X1,X0))
| r1_tarski(X0,k2_zfmisc_1(X0,X1)) )
=> X0 = k1_xboole_0 ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+6.ax',t135_zfmisc_1) ).
fof(f463,axiom,
! [X0,X1,X2,X3] :
( r1_tarski(k2_zfmisc_1(X0,X1),k2_zfmisc_1(X2,X3))
=> ( ( r1_tarski(X1,X3)
& r1_tarski(X0,X2) )
| k2_zfmisc_1(X0,X1) = k1_xboole_0 ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+6.ax',t138_zfmisc_1) ).
fof(f464,axiom,
! [X0] :
( ~ v1_xboole_0(X0)
=> ! [X1,X2,X3] :
( ( r1_tarski(k2_zfmisc_1(X1,X0),k2_zfmisc_1(X3,X2))
| r1_tarski(k2_zfmisc_1(X0,X1),k2_zfmisc_1(X2,X3)) )
=> r1_tarski(X1,X3) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+6.ax',t139_zfmisc_1) ).
fof(f471,axiom,
! [X0] : ~ v1_xboole_0(k1_zfmisc_1(X0)),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+7.ax',fc1_subset_1) ).
fof(f473,axiom,
! [X0,X1] : ~ v1_xboole_0(k2_tarski(X0,X1)),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+7.ax',fc3_subset_1) ).
fof(f474,axiom,
! [X0] :
( ~ v1_xboole_0(X0)
=> ? [X1] :
( ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(X0)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+7.ax',rc1_subset_1) ).
fof(f475,axiom,
! [X0,X1] :
( ( ~ v1_xboole_0(X1)
& ~ v1_xboole_0(X0) )
=> ~ v1_xboole_0(k2_zfmisc_1(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+7.ax',fc4_subset_1) ).
fof(f478,axiom,
! [X0] :
? [X1] :
( v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(X0)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+7.ax',rc2_subset_1) ).
fof(f480,axiom,
! [X0,X1] :
( ( v1_xboole_0(X0)
=> ( m1_subset_1(X1,X0)
<=> v1_xboole_0(X1) ) )
& ( ~ v1_xboole_0(X0)
=> ( m1_subset_1(X1,X0)
<=> r2_hidden(X1,X0) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+7.ax',d2_subset_1) ).
fof(f486,axiom,
! [X0] : m1_subset_1(k1_xboole_0,k1_zfmisc_1(X0)),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+7.ax',t4_subset_1) ).
fof(f489,axiom,
! [X0,X1] :
( m1_subset_1(X1,k1_zfmisc_1(X0))
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(X0))
=> ( ! [X3] :
( m1_subset_1(X3,X0)
=> ( r2_hidden(X3,X1)
=> r2_hidden(X3,X2) ) )
=> r1_tarski(X1,X2) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+7.ax',t7_subset_1) ).
fof(f490,axiom,
! [X0,X1] :
( m1_subset_1(X1,k1_zfmisc_1(X0))
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(X0))
=> ( ! [X3] :
( m1_subset_1(X3,X0)
=> ( r2_hidden(X3,X1)
<=> r2_hidden(X3,X2) ) )
=> X1 = X2 ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+7.ax',t8_subset_1) ).
fof(f492,axiom,
! [X0,X1] :
( m1_subset_1(X1,k1_zfmisc_1(X0))
=> ~ ( ! [X2] :
( m1_subset_1(X2,X0)
=> ~ r2_hidden(X2,X1) )
& X1 != k1_xboole_0 ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+7.ax',t10_subset_1) ).
fof(f493,axiom,
! [X0,X1] :
( m1_subset_1(X1,k1_zfmisc_1(X0))
=> k3_subset_1(X0,X1) = k4_xboole_0(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+7.ax',d5_subset_1) ).
fof(f498,axiom,
! [X0,X1] :
( m1_subset_1(X1,k1_zfmisc_1(X0))
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(X0))
=> ! [X3] :
( m1_subset_1(X3,k1_zfmisc_1(X0))
=> ( ! [X4] :
( m1_subset_1(X4,X0)
=> ( r2_hidden(X4,X1)
<=> ( r2_hidden(X4,X3)
| r2_hidden(X4,X2) ) ) )
=> X1 = k4_subset_1(X0,X2,X3) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+7.ax',t15_subset_1) ).
fof(f499,axiom,
! [X0,X1] :
( m1_subset_1(X1,k1_zfmisc_1(X0))
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(X0))
=> ! [X3] :
( m1_subset_1(X3,k1_zfmisc_1(X0))
=> ( ! [X4] :
( m1_subset_1(X4,X0)
=> ( r2_hidden(X4,X1)
<=> ( r2_hidden(X4,X3)
& r2_hidden(X4,X2) ) ) )
=> X1 = k5_subset_1(X0,X2,X3) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+7.ax',t16_subset_1) ).
fof(f500,axiom,
! [X0,X1] :
( m1_subset_1(X1,k1_zfmisc_1(X0))
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(X0))
=> ! [X3] :
( m1_subset_1(X3,k1_zfmisc_1(X0))
=> ( ! [X4] :
( m1_subset_1(X4,X0)
=> ( r2_hidden(X4,X1)
<=> ( ~ r2_hidden(X4,X3)
& r2_hidden(X4,X2) ) ) )
=> X1 = k6_subset_1(X0,X2,X3) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+7.ax',t17_subset_1) ).
fof(f509,axiom,
! [X0,X1] :
( m1_subset_1(X1,k1_zfmisc_1(X0))
=> r1_xboole_0(X1,k3_subset_1(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+7.ax',t26_subset_1) ).
fof(f512,axiom,
! [X0,X1] :
( m1_subset_1(X1,k1_zfmisc_1(X0))
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(X0))
=> k3_subset_1(X0,k4_subset_1(X0,X1,X2)) = k5_subset_1(X0,k3_subset_1(X0,X1),k3_subset_1(X0,X2)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+7.ax',t29_subset_1) ).
fof(f513,axiom,
! [X0,X1] :
( m1_subset_1(X1,k1_zfmisc_1(X0))
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(X0))
=> k3_subset_1(X0,k5_subset_1(X0,X1,X2)) = k4_subset_1(X0,k3_subset_1(X0,X1),k3_subset_1(X0,X2)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+7.ax',t30_subset_1) ).
fof(f514,axiom,
! [X0,X1] :
( m1_subset_1(X1,k1_zfmisc_1(X0))
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(X0))
=> ( r1_tarski(X1,X2)
<=> r1_tarski(k3_subset_1(X0,X2),k3_subset_1(X0,X1)) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+7.ax',t31_subset_1) ).
fof(f515,axiom,
! [X0,X1] :
( m1_subset_1(X1,k1_zfmisc_1(X0))
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(X0))
=> k6_subset_1(X0,X1,X2) = k5_subset_1(X0,X1,k3_subset_1(X0,X2)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+7.ax',t32_subset_1) ).
fof(f516,axiom,
! [X0,X1] :
( m1_subset_1(X1,k1_zfmisc_1(X0))
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(X0))
=> k3_subset_1(X0,k6_subset_1(X0,X1,X2)) = k4_subset_1(X0,k3_subset_1(X0,X1),X2) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+7.ax',t33_subset_1) ).
fof(f518,axiom,
! [X0,X1] :
( m1_subset_1(X1,k1_zfmisc_1(X0))
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(X0))
=> ( r1_tarski(X1,k3_subset_1(X0,X2))
=> r1_tarski(X2,k3_subset_1(X0,X1)) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+7.ax',t35_subset_1) ).
fof(f519,axiom,
! [X0,X1] :
( m1_subset_1(X1,k1_zfmisc_1(X0))
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(X0))
=> ( r1_tarski(k3_subset_1(X0,X1),X2)
=> r1_tarski(k3_subset_1(X0,X2),X1) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+7.ax',t36_subset_1) ).
fof(f523,axiom,
! [X0,X1,X2] :
( m1_subset_1(X2,k1_zfmisc_1(X0))
=> ( ( r1_tarski(X1,k3_subset_1(X0,X2))
& r1_tarski(X1,X2) )
=> X1 = k1_xboole_0 ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+7.ax',t40_subset_1) ).
fof(f524,axiom,
! [X0,X1] :
( m1_subset_1(X1,k1_zfmisc_1(X0))
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(X0))
=> r1_tarski(k3_subset_1(X0,k4_subset_1(X0,X1,X2)),k3_subset_1(X0,X1)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+7.ax',t41_subset_1) ).
fof(f525,axiom,
! [X0,X1] :
( m1_subset_1(X1,k1_zfmisc_1(X0))
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(X0))
=> r1_tarski(k3_subset_1(X0,X1),k3_subset_1(X0,k5_subset_1(X0,X1,X2))) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+7.ax',t42_subset_1) ).
fof(f526,axiom,
! [X0,X1] :
( m1_subset_1(X1,k1_zfmisc_1(X0))
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(X0))
=> ( r1_xboole_0(X1,X2)
<=> r1_tarski(X1,k3_subset_1(X0,X2)) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+7.ax',t43_subset_1) ).
fof(f527,axiom,
! [X0,X1] :
( m1_subset_1(X1,k1_zfmisc_1(X0))
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(X0))
=> ( r1_xboole_0(X1,k3_subset_1(X0,X2))
<=> r1_tarski(X1,X2) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+7.ax',t44_subset_1) ).
fof(f529,axiom,
! [X0,X1] :
( m1_subset_1(X1,k1_zfmisc_1(X0))
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(X0))
=> ( ( r1_xboole_0(k3_subset_1(X0,X1),k3_subset_1(X0,X2))
& r1_xboole_0(X1,X2) )
=> X1 = k3_subset_1(X0,X2) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+7.ax',t46_subset_1) ).
fof(f530,axiom,
! [X0,X1] :
( m1_subset_1(X1,k1_zfmisc_1(X0))
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(X0))
=> ! [X3] :
( m1_subset_1(X3,k1_zfmisc_1(X0))
=> ( ( r1_xboole_0(X3,X2)
& r1_tarski(X1,X2) )
=> r1_tarski(X1,k3_subset_1(X0,X3)) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+7.ax',t47_subset_1) ).
fof(f531,axiom,
! [X0,X1] :
( m1_subset_1(X1,k1_zfmisc_1(X0))
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(X0))
=> ( ! [X3] :
( m1_subset_1(X3,X1)
=> r2_hidden(X3,X2) )
=> r1_tarski(X1,X2) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+7.ax',t48_subset_1) ).
fof(f532,axiom,
! [X0,X1] :
( m1_subset_1(X1,k1_zfmisc_1(X0))
=> ( ! [X2] :
( m1_subset_1(X2,X0)
=> r2_hidden(X2,X1) )
=> X0 = X1 ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+7.ax',t49_subset_1) ).
fof(f533,axiom,
! [X0] :
( X0 != k1_xboole_0
=> ! [X1] :
( m1_subset_1(X1,k1_zfmisc_1(X0))
=> ! [X2] :
( m1_subset_1(X2,X0)
=> ( ~ r2_hidden(X2,X1)
=> r2_hidden(X2,k3_subset_1(X0,X1)) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+7.ax',t50_subset_1) ).
fof(f534,axiom,
! [X0,X1] :
( m1_subset_1(X1,k1_zfmisc_1(X0))
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(X0))
=> ( ! [X3] :
( m1_subset_1(X3,X0)
=> ( r2_hidden(X3,X1)
<=> ~ r2_hidden(X3,X2) ) )
=> X1 = k3_subset_1(X0,X2) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+7.ax',t51_subset_1) ).
fof(f535,axiom,
! [X0,X1] :
( m1_subset_1(X1,k1_zfmisc_1(X0))
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(X0))
=> ( ! [X3] :
( m1_subset_1(X3,X0)
=> ( ~ r2_hidden(X3,X1)
<=> r2_hidden(X3,X2) ) )
=> X1 = k3_subset_1(X0,X2) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+7.ax',t52_subset_1) ).
fof(f536,axiom,
! [X0,X1] :
( m1_subset_1(X1,k1_zfmisc_1(X0))
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(X0))
=> ( ! [X3] :
( m1_subset_1(X3,X0)
=> ~ ( r2_hidden(X3,X1)
<=> r2_hidden(X3,X2) ) )
=> X1 = k3_subset_1(X0,X2) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+7.ax',t53_subset_1) ).
fof(f537,axiom,
! [X0,X1,X2] :
( m1_subset_1(X2,k1_zfmisc_1(X0))
=> ~ ( r2_hidden(X1,X2)
& r2_hidden(X1,k3_subset_1(X0,X2)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+7.ax',t54_subset_1) ).
fof(f538,axiom,
! [X0,X1] :
( m1_subset_1(X1,X0)
=> ( X0 != k1_xboole_0
=> m1_subset_1(k1_tarski(X1),k1_zfmisc_1(X0)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+7.ax',t55_subset_1) ).
fof(f539,axiom,
! [X0,X1] :
( m1_subset_1(X1,X0)
=> ! [X2] :
( m1_subset_1(X2,X0)
=> ( X0 != k1_xboole_0
=> m1_subset_1(k2_tarski(X1,X2),k1_zfmisc_1(X0)) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+7.ax',t56_subset_1) ).
fof(f540,axiom,
! [X0,X1] :
( m1_subset_1(X1,X0)
=> ! [X2] :
( m1_subset_1(X2,X0)
=> ! [X3] :
( m1_subset_1(X3,X0)
=> ( X0 != k1_xboole_0
=> m1_subset_1(k1_enumset1(X1,X2,X3),k1_zfmisc_1(X0)) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+7.ax',t57_subset_1) ).
fof(f541,axiom,
! [X0,X1] :
( m1_subset_1(X1,X0)
=> ! [X2] :
( m1_subset_1(X2,X0)
=> ! [X3] :
( m1_subset_1(X3,X0)
=> ! [X4] :
( m1_subset_1(X4,X0)
=> ( X0 != k1_xboole_0
=> m1_subset_1(k2_enumset1(X1,X2,X3,X4),k1_zfmisc_1(X0)) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+7.ax',t58_subset_1) ).
fof(f546,axiom,
! [X0,X1] :
( r2_hidden(X0,X1)
=> m1_subset_1(k1_tarski(X0),k1_zfmisc_1(X1)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+7.ax',t63_subset_1) ).
fof(f553,axiom,
! [X0] :
? [X1] : m1_subset_1(X1,X0),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+7.ax',existence_m1_subset_1) ).
fof(f554,axiom,
! [X0,X1] :
( ( m1_subset_1(X1,k1_zfmisc_1(X0))
& ~ v1_xboole_0(X1)
& ~ v1_xboole_0(X0) )
=> ! [X2] :
( m2_subset_1(X2,X0,X1)
=> m1_subset_1(X2,X0) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+7.ax',dt_m2_subset_1) ).
fof(f555,axiom,
! [X0,X1] :
( ( m1_subset_1(X1,k1_zfmisc_1(X0))
& ~ v1_xboole_0(X1)
& ~ v1_xboole_0(X0) )
=> ? [X2] : m2_subset_1(X2,X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+7.ax',existence_m2_subset_1) ).
fof(f556,axiom,
! [X0,X1] :
( ( m1_subset_1(X1,k1_zfmisc_1(X0))
& ~ v1_xboole_0(X1)
& ~ v1_xboole_0(X0) )
=> ! [X2] :
( m2_subset_1(X2,X0,X1)
<=> m1_subset_1(X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+7.ax',redefinition_m2_subset_1) ).
fof(f565,axiom,
! [X0,X1] :
( m1_subset_1(X1,k1_zfmisc_1(X0))
=> m1_subset_1(k3_subset_1(X0,X1),k1_zfmisc_1(X0)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+7.ax',dt_k3_subset_1) ).
fof(f566,axiom,
! [X0,X1] :
( m1_subset_1(X1,k1_zfmisc_1(X0))
=> k3_subset_1(X0,k3_subset_1(X0,X1)) = X1 ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+7.ax',involutiveness_k3_subset_1) ).
fof(f567,axiom,
! [X0,X1,X2] :
( ( m1_subset_1(X2,k1_zfmisc_1(X0))
& m1_subset_1(X1,k1_zfmisc_1(X0)) )
=> m1_subset_1(k4_subset_1(X0,X1,X2),k1_zfmisc_1(X0)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+7.ax',dt_k4_subset_1) ).
fof(f568,axiom,
! [X0,X1,X2] :
( ( m1_subset_1(X2,k1_zfmisc_1(X0))
& m1_subset_1(X1,k1_zfmisc_1(X0)) )
=> k4_subset_1(X0,X1,X2) = k4_subset_1(X0,X2,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+7.ax',commutativity_k4_subset_1) ).
fof(f569,axiom,
! [X0,X1,X2] :
( ( m1_subset_1(X2,k1_zfmisc_1(X0))
& m1_subset_1(X1,k1_zfmisc_1(X0)) )
=> k4_subset_1(X0,X1,X1) = X1 ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+7.ax',idempotence_k4_subset_1) ).
fof(f570,axiom,
! [X0,X1,X2] :
( ( m1_subset_1(X2,k1_zfmisc_1(X0))
& m1_subset_1(X1,k1_zfmisc_1(X0)) )
=> k4_subset_1(X0,X1,X2) = k2_xboole_0(X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+7.ax',redefinition_k4_subset_1) ).
fof(f571,axiom,
! [X0,X1,X2] :
( ( m1_subset_1(X2,k1_zfmisc_1(X0))
& m1_subset_1(X1,k1_zfmisc_1(X0)) )
=> m1_subset_1(k5_subset_1(X0,X1,X2),k1_zfmisc_1(X0)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+7.ax',dt_k5_subset_1) ).
fof(f572,axiom,
! [X0,X1,X2] :
( ( m1_subset_1(X2,k1_zfmisc_1(X0))
& m1_subset_1(X1,k1_zfmisc_1(X0)) )
=> k5_subset_1(X0,X1,X2) = k5_subset_1(X0,X2,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+7.ax',commutativity_k5_subset_1) ).
fof(f573,axiom,
! [X0,X1,X2] :
( ( m1_subset_1(X2,k1_zfmisc_1(X0))
& m1_subset_1(X1,k1_zfmisc_1(X0)) )
=> k5_subset_1(X0,X1,X1) = X1 ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+7.ax',idempotence_k5_subset_1) ).
fof(f574,axiom,
! [X0,X1,X2] :
( ( m1_subset_1(X2,k1_zfmisc_1(X0))
& m1_subset_1(X1,k1_zfmisc_1(X0)) )
=> k5_subset_1(X0,X1,X2) = k3_xboole_0(X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+7.ax',redefinition_k5_subset_1) ).
fof(f575,axiom,
! [X0,X1,X2] :
( ( m1_subset_1(X2,k1_zfmisc_1(X0))
& m1_subset_1(X1,k1_zfmisc_1(X0)) )
=> m1_subset_1(k6_subset_1(X0,X1,X2),k1_zfmisc_1(X0)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+7.ax',dt_k6_subset_1) ).
fof(f576,axiom,
! [X0,X1,X2] :
( ( m1_subset_1(X2,k1_zfmisc_1(X0))
& m1_subset_1(X1,k1_zfmisc_1(X0)) )
=> k6_subset_1(X0,X1,X2) = k4_xboole_0(X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+7.ax',redefinition_k6_subset_1) ).
fof(f590,axiom,
! [X0,X1] :
( ( X0 = k1_xboole_0
=> ( X1 = k1_setfam_1(X0)
<=> X1 = k1_xboole_0 ) )
& ( X0 != k1_xboole_0
=> ( X1 = k1_setfam_1(X0)
<=> ! [X2] :
( r2_hidden(X2,X1)
<=> ! [X3] :
( r2_hidden(X3,X0)
=> r2_hidden(X2,X3) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+8.ax',d1_setfam_1) ).
fof(f593,axiom,
! [X0] : r1_tarski(k1_setfam_1(X0),k3_tarski(X0)),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+8.ax',t3_setfam_1) ).
fof(f594,axiom,
! [X0,X1] :
( r2_hidden(X0,X1)
=> r1_tarski(k1_setfam_1(X1),X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+8.ax',t4_setfam_1) ).
fof(f595,axiom,
! [X0] :
( r2_hidden(k1_xboole_0,X0)
=> k1_setfam_1(X0) = k1_xboole_0 ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+8.ax',t5_setfam_1) ).
fof(f596,axiom,
! [X0,X1] :
( ! [X2] :
( r2_hidden(X2,X0)
=> r1_tarski(X1,X2) )
=> ( r1_tarski(X1,k1_setfam_1(X0))
| X0 = k1_xboole_0 ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+8.ax',t6_setfam_1) ).
fof(f597,axiom,
! [X0,X1] :
( r1_tarski(X0,X1)
=> ( r1_tarski(k1_setfam_1(X1),k1_setfam_1(X0))
| X0 = k1_xboole_0 ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+8.ax',t7_setfam_1) ).
fof(f598,axiom,
! [X0,X1,X2] :
( ( r1_tarski(X0,X2)
& r2_hidden(X0,X1) )
=> r1_tarski(k1_setfam_1(X1),X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+8.ax',t8_setfam_1) ).
fof(f599,axiom,
! [X0,X1,X2] :
( ( r1_xboole_0(X0,X2)
& r2_hidden(X0,X1) )
=> r1_xboole_0(k1_setfam_1(X1),X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+8.ax',t9_setfam_1) ).
fof(f600,axiom,
! [X0,X1] :
~ ( k1_setfam_1(k2_xboole_0(X0,X1)) != k3_xboole_0(k1_setfam_1(X0),k1_setfam_1(X1))
& X1 != k1_xboole_0
& X0 != k1_xboole_0 ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+8.ax',t10_setfam_1) ).
fof(f601,axiom,
! [X0] : k1_setfam_1(k1_tarski(X0)) = X0,
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+8.ax',t11_setfam_1) ).
fof(f602,axiom,
! [X0,X1] : k1_setfam_1(k2_tarski(X0,X1)) = k3_xboole_0(X0,X1),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+8.ax',t12_setfam_1) ).
fof(f639,axiom,
! [X0,X1] :
( m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(X0)))
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(X0)))
=> ( ! [X3] :
( m1_subset_1(X3,k1_zfmisc_1(X0))
=> ( r2_hidden(X3,X1)
<=> r2_hidden(X3,X2) ) )
=> X1 = X2 ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+8.ax',t44_setfam_1) ).
fof(f654,axiom,
! [X0,X1,X2] :
( ( r2_hidden(X2,X0)
& r1_tarski(k3_tarski(X0),X1) )
=> r1_tarski(X2,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+8.ax',t56_setfam_1) ).
fof(f655,axiom,
! [X0,X1,X2] :
( ( ! [X3] :
( r2_hidden(X3,X1)
=> r1_xboole_0(X3,X2) )
& r1_tarski(X2,k3_tarski(k2_xboole_0(X0,X1))) )
=> r1_tarski(X2,k3_tarski(X0)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+8.ax',t57_setfam_1) ).
fof(f675,axiom,
! [X0,X1] :
( r2_hidden(X0,X1)
=> m1_subset_1(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+9.ax',t1_subset) ).
fof(f677,axiom,
! [X0,X1] :
( m1_subset_1(X0,k1_zfmisc_1(X1))
<=> r1_tarski(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+9.ax',t3_subset) ).
fof(f678,axiom,
! [X0,X1,X2] :
( ( m1_subset_1(X1,k1_zfmisc_1(X2))
& r2_hidden(X0,X1) )
=> m1_subset_1(X0,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+9.ax',t4_subset) ).
fof(f679,axiom,
! [X0,X1,X2] :
~ ( v1_xboole_0(X2)
& m1_subset_1(X1,k1_zfmisc_1(X2))
& r2_hidden(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+9.ax',t5_subset) ).
fof(f680,axiom,
? [X0] :
( v1_relat_1(X0)
& v1_xboole_0(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+10.ax',rc1_relat_1) ).
fof(f682,axiom,
! [X0,X1] :
( ( v1_relat_1(X1)
& v1_relat_1(X0) )
=> v1_relat_1(k2_xboole_0(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+10.ax',fc2_relat_1) ).
fof(f684,axiom,
! [X0] :
( v1_xboole_0(X0)
=> v1_relat_1(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+10.ax',cc1_relat_1) ).
fof(f686,axiom,
? [X0] :
( v1_relat_1(X0)
& ~ v1_xboole_0(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+10.ax',rc2_relat_1) ).
fof(f687,axiom,
! [X0] :
( ( v1_relat_1(X0)
& ~ v1_xboole_0(X0) )
=> ~ v1_xboole_0(k1_relat_1(X0)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+10.ax',fc5_relat_1) ).
fof(f688,axiom,
! [X0] :
( ( v1_relat_1(X0)
& ~ v1_xboole_0(X0) )
=> ~ v1_xboole_0(k2_relat_1(X0)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+10.ax',fc6_relat_1) ).
fof(f689,axiom,
! [X0] :
( v1_xboole_0(X0)
=> ( v1_relat_1(k1_relat_1(X0))
& v1_xboole_0(k1_relat_1(X0)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+10.ax',fc7_relat_1) ).
fof(f690,axiom,
! [X0] :
( v1_xboole_0(X0)
=> ( v1_relat_1(k2_relat_1(X0))
& v1_xboole_0(k2_relat_1(X0)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+10.ax',fc8_relat_1) ).
fof(f691,axiom,
! [X0,X1] :
( ( v1_relat_1(X1)
& v1_xboole_0(X0) )
=> ( v1_relat_1(k5_relat_1(X0,X1))
& v1_xboole_0(k5_relat_1(X0,X1)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+10.ax',fc9_relat_1) ).
fof(f692,axiom,
! [X0,X1] :
( ( v1_relat_1(X1)
& v1_xboole_0(X0) )
=> ( v1_relat_1(k5_relat_1(X1,X0))
& v1_xboole_0(k5_relat_1(X1,X0)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+10.ax',fc10_relat_1) ).
fof(f693,axiom,
! [X0] :
( v1_xboole_0(X0)
=> ( v1_relat_1(k4_relat_1(X0))
& v1_xboole_0(k4_relat_1(X0)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+10.ax',fc11_relat_1) ).
fof(f697,axiom,
! [X0] :
( v1_relat_1(X0)
<=> ! [X1] :
~ ( ! [X2,X3] : X1 != k4_tarski(X2,X3)
& r2_hidden(X1,X0) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+10.ax',d1_relat_1) ).
fof(f700,axiom,
! [X0,X1] :
( v1_relat_1(X1)
=> ( r1_tarski(X0,X1)
=> v1_relat_1(X0) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+10.ax',t3_relat_1) ).
fof(f701,axiom,
! [X0,X1] : v1_relat_1(k1_tarski(k4_tarski(X0,X1))),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+10.ax',t4_relat_1) ).
fof(f702,axiom,
! [X0,X1,X2,X3] : v1_relat_1(k2_tarski(k4_tarski(X0,X1),k4_tarski(X2,X3))),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+10.ax',t5_relat_1) ).
fof(f703,axiom,
! [X0,X1] : v1_relat_1(k2_zfmisc_1(X0,X1)),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+10.ax',t6_relat_1) ).
fof(f704,axiom,
! [X0] :
( v1_relat_1(X0)
=> ! [X1] :
( v1_relat_1(X1)
=> ( X0 = X1
<=> ! [X2,X3] :
( r2_hidden(k4_tarski(X2,X3),X0)
<=> r2_hidden(k4_tarski(X2,X3),X1) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+10.ax',d2_relat_1) ).
fof(f705,axiom,
! [X0] :
( v1_relat_1(X0)
=> ! [X1] :
( v1_relat_1(X1)
=> ( r1_tarski(X0,X1)
<=> ! [X2,X3] :
( r2_hidden(k4_tarski(X2,X3),X0)
=> r2_hidden(k4_tarski(X2,X3),X1) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+10.ax',d3_relat_1) ).
fof(f708,axiom,
! [X0,X1] :
( v1_relat_1(X1)
=> v1_relat_1(k3_xboole_0(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+10.ax',t9_relat_1) ).
fof(f709,axiom,
! [X0,X1] :
( v1_relat_1(X1)
=> v1_relat_1(k4_xboole_0(X1,X0)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+10.ax',t10_relat_1) ).
fof(f710,axiom,
! [X0] :
( v1_relat_1(X0)
=> ! [X1] :
( X1 = k1_relat_1(X0)
<=> ! [X2] :
( r2_hidden(X2,X1)
<=> ? [X3] : r2_hidden(k4_tarski(X2,X3),X0) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+10.ax',d4_relat_1) ).
fof(f713,axiom,
! [X0] :
( v1_relat_1(X0)
=> ! [X1] :
( v1_relat_1(X1)
=> k1_relat_1(k2_xboole_0(X0,X1)) = k2_xboole_0(k1_relat_1(X0),k1_relat_1(X1)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+10.ax',t13_relat_1) ).
fof(f714,axiom,
! [X0] :
( v1_relat_1(X0)
=> ! [X1] :
( v1_relat_1(X1)
=> r1_tarski(k1_relat_1(k3_xboole_0(X0,X1)),k3_xboole_0(k1_relat_1(X0),k1_relat_1(X1))) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+10.ax',t14_relat_1) ).
fof(f715,axiom,
! [X0] :
( v1_relat_1(X0)
=> ! [X1] :
( v1_relat_1(X1)
=> r1_tarski(k4_xboole_0(k1_relat_1(X0),k1_relat_1(X1)),k1_relat_1(k4_xboole_0(X0,X1))) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+10.ax',t15_relat_1) ).
fof(f716,axiom,
! [X0] :
( v1_relat_1(X0)
=> ! [X1] :
( X1 = k2_relat_1(X0)
<=> ! [X2] :
( r2_hidden(X2,X1)
<=> ? [X3] : r2_hidden(k4_tarski(X3,X2),X0) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+10.ax',d5_relat_1) ).
fof(f719,axiom,
! [X0,X1] :
( v1_relat_1(X1)
=> ~ ( ! [X2] : ~ r2_hidden(X2,k2_relat_1(X1))
& r2_hidden(X0,k1_relat_1(X1)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+10.ax',t18_relat_1) ).
fof(f720,axiom,
! [X0,X1] :
( v1_relat_1(X1)
=> ~ ( ! [X2] : ~ r2_hidden(X2,k1_relat_1(X1))
& r2_hidden(X0,k2_relat_1(X1)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+10.ax',t19_relat_1) ).
fof(f721,axiom,
! [X0,X1,X2] :
( v1_relat_1(X2)
=> ( r2_hidden(k4_tarski(X0,X1),X2)
=> ( r2_hidden(X1,k2_relat_1(X2))
& r2_hidden(X0,k1_relat_1(X2)) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+10.ax',t20_relat_1) ).
fof(f722,axiom,
! [X0] :
( v1_relat_1(X0)
=> r1_tarski(X0,k2_zfmisc_1(k1_relat_1(X0),k2_relat_1(X0))) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+10.ax',t21_relat_1) ).
fof(f723,axiom,
! [X0] :
( v1_relat_1(X0)
=> k3_xboole_0(X0,k2_zfmisc_1(k1_relat_1(X0),k2_relat_1(X0))) = X0 ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+10.ax',t22_relat_1) ).
fof(f724,axiom,
! [X0,X1,X2] :
( v1_relat_1(X2)
=> ( X2 = k1_tarski(k4_tarski(X0,X1))
=> ( k2_relat_1(X2) = k1_tarski(X1)
& k1_relat_1(X2) = k1_tarski(X0) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+10.ax',t23_relat_1) ).
fof(f725,axiom,
! [X0,X1,X2,X3,X4] :
( v1_relat_1(X4)
=> ( X4 = k2_tarski(k4_tarski(X0,X1),k4_tarski(X2,X3))
=> ( k2_relat_1(X4) = k2_tarski(X1,X3)
& k1_relat_1(X4) = k2_tarski(X0,X2) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+10.ax',t24_relat_1) ).
fof(f726,axiom,
! [X0] :
( v1_relat_1(X0)
=> ! [X1] :
( v1_relat_1(X1)
=> ( r1_tarski(X0,X1)
=> ( r1_tarski(k2_relat_1(X0),k2_relat_1(X1))
& r1_tarski(k1_relat_1(X0),k1_relat_1(X1)) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+10.ax',t25_relat_1) ).
fof(f727,axiom,
! [X0] :
( v1_relat_1(X0)
=> ! [X1] :
( v1_relat_1(X1)
=> k2_relat_1(k2_xboole_0(X0,X1)) = k2_xboole_0(k2_relat_1(X0),k2_relat_1(X1)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+10.ax',t26_relat_1) ).
fof(f728,axiom,
! [X0] :
( v1_relat_1(X0)
=> ! [X1] :
( v1_relat_1(X1)
=> r1_tarski(k2_relat_1(k3_xboole_0(X0,X1)),k3_xboole_0(k2_relat_1(X0),k2_relat_1(X1))) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+10.ax',t27_relat_1) ).
fof(f729,axiom,
! [X0] :
( v1_relat_1(X0)
=> ! [X1] :
( v1_relat_1(X1)
=> r1_tarski(k4_xboole_0(k2_relat_1(X0),k2_relat_1(X1)),k2_relat_1(k4_xboole_0(X0,X1))) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+10.ax',t28_relat_1) ).
fof(f730,axiom,
! [X0] :
( v1_relat_1(X0)
=> k3_relat_1(X0) = k2_xboole_0(k1_relat_1(X0),k2_relat_1(X0)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+10.ax',d6_relat_1) ).
fof(f731,axiom,
! [X0] :
( v1_relat_1(X0)
=> ( r1_tarski(k2_relat_1(X0),k3_relat_1(X0))
& r1_tarski(k1_relat_1(X0),k3_relat_1(X0)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+10.ax',t29_relat_1) ).
fof(f732,axiom,
! [X0,X1,X2] :
( v1_relat_1(X2)
=> ( r2_hidden(k4_tarski(X0,X1),X2)
=> ( r2_hidden(X1,k3_relat_1(X2))
& r2_hidden(X0,k3_relat_1(X2)) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+10.ax',t30_relat_1) ).
fof(f733,axiom,
! [X0] :
( v1_relat_1(X0)
=> ! [X1] :
( v1_relat_1(X1)
=> ( r1_tarski(X0,X1)
=> r1_tarski(k3_relat_1(X0),k3_relat_1(X1)) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+10.ax',t31_relat_1) ).
fof(f734,axiom,
! [X0,X1,X2] :
( v1_relat_1(X2)
=> ( X2 = k1_tarski(k4_tarski(X0,X1))
=> k3_relat_1(X2) = k2_tarski(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+10.ax',t32_relat_1) ).
fof(f735,axiom,
! [X0] :
( v1_relat_1(X0)
=> ! [X1] :
( v1_relat_1(X1)
=> k3_relat_1(k2_xboole_0(X0,X1)) = k2_xboole_0(k3_relat_1(X0),k3_relat_1(X1)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+10.ax',t33_relat_1) ).
fof(f736,axiom,
! [X0] :
( v1_relat_1(X0)
=> ! [X1] :
( v1_relat_1(X1)
=> r1_tarski(k3_relat_1(k3_xboole_0(X0,X1)),k3_xboole_0(k3_relat_1(X0),k3_relat_1(X1))) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+10.ax',t34_relat_1) ).
fof(f737,axiom,
! [X0] :
( v1_relat_1(X0)
=> ! [X1] :
( v1_relat_1(X1)
=> ( X1 = k4_relat_1(X0)
<=> ! [X2,X3] :
( r2_hidden(k4_tarski(X2,X3),X1)
<=> r2_hidden(k4_tarski(X3,X2),X0) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+10.ax',d7_relat_1) ).
fof(f740,axiom,
! [X0] :
( v1_relat_1(X0)
=> ( k1_relat_1(X0) = k2_relat_1(k4_relat_1(X0))
& k2_relat_1(X0) = k1_relat_1(k4_relat_1(X0)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+10.ax',t37_relat_1) ).
fof(f741,axiom,
! [X0] :
( v1_relat_1(X0)
=> k3_relat_1(X0) = k3_relat_1(k4_relat_1(X0)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+10.ax',t38_relat_1) ).
fof(f742,axiom,
! [X0] :
( v1_relat_1(X0)
=> ! [X1] :
( v1_relat_1(X1)
=> k4_relat_1(k3_xboole_0(X0,X1)) = k3_xboole_0(k4_relat_1(X0),k4_relat_1(X1)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+10.ax',t39_relat_1) ).
fof(f743,axiom,
! [X0] :
( v1_relat_1(X0)
=> ! [X1] :
( v1_relat_1(X1)
=> k4_relat_1(k2_xboole_0(X0,X1)) = k2_xboole_0(k4_relat_1(X0),k4_relat_1(X1)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+10.ax',t40_relat_1) ).
fof(f744,axiom,
! [X0] :
( v1_relat_1(X0)
=> ! [X1] :
( v1_relat_1(X1)
=> k4_relat_1(k4_xboole_0(X0,X1)) = k4_xboole_0(k4_relat_1(X0),k4_relat_1(X1)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+10.ax',t41_relat_1) ).
fof(f745,axiom,
! [X0] :
( v1_relat_1(X0)
=> ! [X1] :
( v1_relat_1(X1)
=> ! [X2] :
( v1_relat_1(X2)
=> ( X2 = k5_relat_1(X0,X1)
<=> ! [X3,X4] :
( r2_hidden(k4_tarski(X3,X4),X2)
<=> ? [X5] :
( r2_hidden(k4_tarski(X5,X4),X1)
& r2_hidden(k4_tarski(X3,X5),X0) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+10.ax',d8_relat_1) ).
fof(f748,axiom,
! [X0] :
( v1_relat_1(X0)
=> ! [X1] :
( v1_relat_1(X1)
=> r1_tarski(k1_relat_1(k5_relat_1(X0,X1)),k1_relat_1(X0)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+10.ax',t44_relat_1) ).
fof(f749,axiom,
! [X0] :
( v1_relat_1(X0)
=> ! [X1] :
( v1_relat_1(X1)
=> r1_tarski(k2_relat_1(k5_relat_1(X0,X1)),k2_relat_1(X1)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+10.ax',t45_relat_1) ).
fof(f750,axiom,
! [X0] :
( v1_relat_1(X0)
=> ! [X1] :
( v1_relat_1(X1)
=> ( r1_tarski(k2_relat_1(X0),k1_relat_1(X1))
=> k1_relat_1(k5_relat_1(X0,X1)) = k1_relat_1(X0) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+10.ax',t46_relat_1) ).
fof(f751,axiom,
! [X0] :
( v1_relat_1(X0)
=> ! [X1] :
( v1_relat_1(X1)
=> ( r1_tarski(k1_relat_1(X0),k2_relat_1(X1))
=> k2_relat_1(k5_relat_1(X1,X0)) = k2_relat_1(X0) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+10.ax',t47_relat_1) ).
fof(f752,axiom,
! [X0] :
( v1_relat_1(X0)
=> ! [X1] :
( v1_relat_1(X1)
=> ! [X2] :
( v1_relat_1(X2)
=> ( r1_tarski(X0,X1)
=> r1_tarski(k5_relat_1(X2,X0),k5_relat_1(X2,X1)) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+10.ax',t48_relat_1) ).
fof(f753,axiom,
! [X0] :
( v1_relat_1(X0)
=> ! [X1] :
( v1_relat_1(X1)
=> ! [X2] :
( v1_relat_1(X2)
=> ( r1_tarski(X0,X1)
=> r1_tarski(k5_relat_1(X0,X2),k5_relat_1(X1,X2)) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+10.ax',t49_relat_1) ).
fof(f754,axiom,
! [X0] :
( v1_relat_1(X0)
=> ! [X1] :
( v1_relat_1(X1)
=> ! [X2] :
( v1_relat_1(X2)
=> ! [X3] :
( v1_relat_1(X3)
=> ( ( r1_tarski(X2,X3)
& r1_tarski(X0,X1) )
=> r1_tarski(k5_relat_1(X0,X2),k5_relat_1(X1,X3)) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+10.ax',t50_relat_1) ).
fof(f755,axiom,
! [X0] :
( v1_relat_1(X0)
=> ! [X1] :
( v1_relat_1(X1)
=> ! [X2] :
( v1_relat_1(X2)
=> k5_relat_1(X0,k2_xboole_0(X1,X2)) = k2_xboole_0(k5_relat_1(X0,X1),k5_relat_1(X0,X2)) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+10.ax',t51_relat_1) ).
fof(f756,axiom,
! [X0] :
( v1_relat_1(X0)
=> ! [X1] :
( v1_relat_1(X1)
=> ! [X2] :
( v1_relat_1(X2)
=> r1_tarski(k5_relat_1(X0,k3_xboole_0(X1,X2)),k3_xboole_0(k5_relat_1(X0,X1),k5_relat_1(X0,X2))) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+10.ax',t52_relat_1) ).
fof(f757,axiom,
! [X0] :
( v1_relat_1(X0)
=> ! [X1] :
( v1_relat_1(X1)
=> ! [X2] :
( v1_relat_1(X2)
=> r1_tarski(k4_xboole_0(k5_relat_1(X0,X1),k5_relat_1(X0,X2)),k5_relat_1(X0,k4_xboole_0(X1,X2))) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+10.ax',t53_relat_1) ).
fof(f758,axiom,
! [X0] :
( v1_relat_1(X0)
=> ! [X1] :
( v1_relat_1(X1)
=> k4_relat_1(k5_relat_1(X0,X1)) = k5_relat_1(k4_relat_1(X1),k4_relat_1(X0)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+10.ax',t54_relat_1) ).
fof(f759,axiom,
! [X0] :
( v1_relat_1(X0)
=> ! [X1] :
( v1_relat_1(X1)
=> ! [X2] :
( v1_relat_1(X2)
=> k5_relat_1(k5_relat_1(X0,X1),X2) = k5_relat_1(X0,k5_relat_1(X1,X2)) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+10.ax',t55_relat_1) ).
fof(f760,axiom,
! [X0] :
( v1_relat_1(X0)
=> ( ! [X1,X2] : ~ r2_hidden(k4_tarski(X1,X2),X0)
=> X0 = k1_xboole_0 ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+10.ax',t56_relat_1) ).
fof(f764,axiom,
( k2_relat_1(k1_xboole_0) = k1_xboole_0
& k1_relat_1(k1_xboole_0) = k1_xboole_0 ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+10.ax',t60_relat_1) ).
fof(f766,axiom,
! [X0] :
( v1_relat_1(X0)
=> ( k5_relat_1(X0,k1_xboole_0) = k1_xboole_0
& k5_relat_1(k1_xboole_0,X0) = k1_xboole_0 ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+10.ax',t62_relat_1) ).
fof(f768,axiom,
! [X0] :
( v1_relat_1(X0)
=> ( ( k2_relat_1(X0) = k1_xboole_0
| k1_relat_1(X0) = k1_xboole_0 )
=> X0 = k1_xboole_0 ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+10.ax',t64_relat_1) ).
fof(f769,axiom,
! [X0] :
( v1_relat_1(X0)
=> ( k1_relat_1(X0) = k1_xboole_0
<=> k2_relat_1(X0) = k1_xboole_0 ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+10.ax',t65_relat_1) ).
fof(f770,axiom,
k4_relat_1(k1_xboole_0) = k1_xboole_0,
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+10.ax',t66_relat_1) ).
fof(f771,axiom,
! [X0] :
( v1_relat_1(X0)
=> ! [X1] :
( v1_relat_1(X1)
=> ( r1_xboole_0(k2_relat_1(X0),k1_relat_1(X1))
=> k5_relat_1(X0,X1) = k1_xboole_0 ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+10.ax',t67_relat_1) ).
fof(f773,axiom,
! [X0,X1] :
( v1_relat_1(X1)
=> ( X1 = k6_relat_1(X0)
<=> ! [X2,X3] :
( r2_hidden(k4_tarski(X2,X3),X1)
<=> ( X2 = X3
& r2_hidden(X2,X0) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+10.ax',d10_relat_1) ).
fof(f777,axiom,
! [X0] :
( k2_relat_1(k6_relat_1(X0)) = X0
& k1_relat_1(k6_relat_1(X0)) = X0 ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+10.ax',t71_relat_1) ).
fof(f778,axiom,
! [X0] : k4_relat_1(k6_relat_1(X0)) = k6_relat_1(X0),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+10.ax',t72_relat_1) ).
fof(f779,axiom,
! [X0,X1] :
( v1_relat_1(X1)
=> ( ! [X2] :
( r2_hidden(X2,X0)
=> r2_hidden(k4_tarski(X2,X2),X1) )
=> r1_tarski(k6_relat_1(X0),X1) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+10.ax',t73_relat_1) ).
fof(f780,axiom,
! [X0,X1,X2,X3] :
( v1_relat_1(X3)
=> ( r2_hidden(k4_tarski(X0,X1),k5_relat_1(k6_relat_1(X2),X3))
<=> ( r2_hidden(k4_tarski(X0,X1),X3)
& r2_hidden(X0,X2) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+10.ax',t74_relat_1) ).
fof(f781,axiom,
! [X0,X1,X2,X3] :
( v1_relat_1(X3)
=> ( r2_hidden(k4_tarski(X0,X1),k5_relat_1(X3,k6_relat_1(X2)))
<=> ( r2_hidden(k4_tarski(X0,X1),X3)
& r2_hidden(X1,X2) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+10.ax',t75_relat_1) ).
fof(f782,axiom,
! [X0,X1] :
( v1_relat_1(X1)
=> ( r1_tarski(k5_relat_1(k6_relat_1(X0),X1),X1)
& r1_tarski(k5_relat_1(X1,k6_relat_1(X0)),X1) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+10.ax',t76_relat_1) ).
fof(f783,axiom,
! [X0,X1] :
( v1_relat_1(X1)
=> ( r1_tarski(k1_relat_1(X1),X0)
=> k5_relat_1(k6_relat_1(X0),X1) = X1 ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+10.ax',t77_relat_1) ).
fof(f784,axiom,
! [X0] :
( v1_relat_1(X0)
=> k5_relat_1(k6_relat_1(k1_relat_1(X0)),X0) = X0 ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+10.ax',t78_relat_1) ).
fof(f785,axiom,
! [X0,X1] :
( v1_relat_1(X1)
=> ( r1_tarski(k2_relat_1(X1),X0)
=> k5_relat_1(X1,k6_relat_1(X0)) = X1 ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+10.ax',t79_relat_1) ).
fof(f786,axiom,
! [X0] :
( v1_relat_1(X0)
=> k5_relat_1(X0,k6_relat_1(k2_relat_1(X0))) = X0 ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+10.ax',t80_relat_1) ).
fof(f787,axiom,
k6_relat_1(k1_xboole_0) = k1_xboole_0,
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+10.ax',t81_relat_1) ).
fof(f788,axiom,
! [X0,X1] :
( v1_relat_1(X1)
=> ! [X2] :
( v1_relat_1(X2)
=> ! [X3] :
( v1_relat_1(X3)
=> ( ( k5_relat_1(X1,X3) = k6_relat_1(X0)
& k5_relat_1(X2,X1) = k6_relat_1(k1_relat_1(X3))
& r1_tarski(k2_relat_1(X2),X0)
& k1_relat_1(X1) = X0 )
=> X3 = X2 ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+10.ax',t82_relat_1) ).
fof(f789,axiom,
! [X0] :
( v1_relat_1(X0)
=> ! [X1,X2] :
( v1_relat_1(X2)
=> ( X2 = k7_relat_1(X0,X1)
<=> ! [X3,X4] :
( r2_hidden(k4_tarski(X3,X4),X2)
<=> ( r2_hidden(k4_tarski(X3,X4),X0)
& r2_hidden(X3,X1) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+10.ax',d11_relat_1) ).
fof(f793,axiom,
! [X0,X1,X2] :
( v1_relat_1(X2)
=> ( r2_hidden(X0,k1_relat_1(k7_relat_1(X2,X1)))
<=> ( r2_hidden(X0,k1_relat_1(X2))
& r2_hidden(X0,X1) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+10.ax',t86_relat_1) ).
fof(f794,axiom,
! [X0,X1] :
( v1_relat_1(X1)
=> r1_tarski(k1_relat_1(k7_relat_1(X1,X0)),X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+10.ax',t87_relat_1) ).
fof(f795,axiom,
! [X0,X1] :
( v1_relat_1(X1)
=> r1_tarski(k7_relat_1(X1,X0),X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+10.ax',t88_relat_1) ).
fof(f796,axiom,
! [X0,X1] :
( v1_relat_1(X1)
=> r1_tarski(k1_relat_1(k7_relat_1(X1,X0)),k1_relat_1(X1)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+10.ax',t89_relat_1) ).
fof(f797,axiom,
! [X0,X1] :
( v1_relat_1(X1)
=> k1_relat_1(k7_relat_1(X1,X0)) = k3_xboole_0(k1_relat_1(X1),X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+10.ax',t90_relat_1) ).
fof(f798,axiom,
! [X0,X1] :
( v1_relat_1(X1)
=> ( r1_tarski(X0,k1_relat_1(X1))
=> k1_relat_1(k7_relat_1(X1,X0)) = X0 ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+10.ax',t91_relat_1) ).
fof(f799,axiom,
! [X0,X1] :
( v1_relat_1(X1)
=> ! [X2] :
( v1_relat_1(X2)
=> r1_tarski(k5_relat_1(k7_relat_1(X1,X0),X2),k5_relat_1(X1,X2)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+10.ax',t92_relat_1) ).
fof(f800,axiom,
! [X0,X1] :
( v1_relat_1(X1)
=> ! [X2] :
( v1_relat_1(X2)
=> r1_tarski(k5_relat_1(X1,k7_relat_1(X2,X0)),k5_relat_1(X1,X2)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+10.ax',t93_relat_1) ).
fof(f801,axiom,
! [X0,X1] :
( v1_relat_1(X1)
=> k7_relat_1(X1,X0) = k5_relat_1(k6_relat_1(X0),X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+10.ax',t94_relat_1) ).
fof(f802,axiom,
! [X0,X1] :
( v1_relat_1(X1)
=> ( k7_relat_1(X1,X0) = k1_xboole_0
<=> r1_xboole_0(k1_relat_1(X1),X0) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+10.ax',t95_relat_1) ).
fof(f803,axiom,
! [X0,X1] :
( v1_relat_1(X1)
=> k7_relat_1(X1,X0) = k3_xboole_0(X1,k2_zfmisc_1(X0,k2_relat_1(X1))) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+10.ax',t96_relat_1) ).
fof(f804,axiom,
! [X0,X1] :
( v1_relat_1(X1)
=> ( r1_tarski(k1_relat_1(X1),X0)
=> k7_relat_1(X1,X0) = X1 ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+10.ax',t97_relat_1) ).
fof(f805,axiom,
! [X0] :
( v1_relat_1(X0)
=> k7_relat_1(X0,k1_relat_1(X0)) = X0 ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+10.ax',t98_relat_1) ).
fof(f806,axiom,
! [X0,X1] :
( v1_relat_1(X1)
=> r1_tarski(k2_relat_1(k7_relat_1(X1,X0)),k2_relat_1(X1)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+10.ax',t99_relat_1) ).
fof(f807,axiom,
! [X0,X1,X2] :
( v1_relat_1(X2)
=> k7_relat_1(k7_relat_1(X2,X0),X1) = k7_relat_1(X2,k3_xboole_0(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+10.ax',t100_relat_1) ).
fof(f808,axiom,
! [X0,X1] :
( v1_relat_1(X1)
=> k7_relat_1(k7_relat_1(X1,X0),X0) = k7_relat_1(X1,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+10.ax',t101_relat_1) ).
fof(f809,axiom,
! [X0,X1,X2] :
( v1_relat_1(X2)
=> ( r1_tarski(X0,X1)
=> k7_relat_1(k7_relat_1(X2,X0),X1) = k7_relat_1(X2,X0) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+10.ax',t102_relat_1) ).
fof(f810,axiom,
! [X0,X1,X2] :
( v1_relat_1(X2)
=> ( r1_tarski(X0,X1)
=> k7_relat_1(k7_relat_1(X2,X1),X0) = k7_relat_1(X2,X0) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+10.ax',t103_relat_1) ).
fof(f811,axiom,
! [X0,X1,X2] :
( v1_relat_1(X2)
=> ( r1_tarski(X0,X1)
=> r1_tarski(k7_relat_1(X2,X0),k7_relat_1(X2,X1)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+10.ax',t104_relat_1) ).
fof(f812,axiom,
! [X0,X1] :
( v1_relat_1(X1)
=> ! [X2] :
( v1_relat_1(X2)
=> ( r1_tarski(X1,X2)
=> r1_tarski(k7_relat_1(X1,X0),k7_relat_1(X2,X0)) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+10.ax',t105_relat_1) ).
fof(f813,axiom,
! [X0,X1,X2] :
( v1_relat_1(X2)
=> ! [X3] :
( v1_relat_1(X3)
=> ( ( r1_tarski(X0,X1)
& r1_tarski(X2,X3) )
=> r1_tarski(k7_relat_1(X2,X0),k7_relat_1(X3,X1)) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+10.ax',t106_relat_1) ).
fof(f814,axiom,
! [X0,X1,X2] :
( v1_relat_1(X2)
=> k7_relat_1(X2,k2_xboole_0(X0,X1)) = k2_xboole_0(k7_relat_1(X2,X0),k7_relat_1(X2,X1)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+10.ax',t107_relat_1) ).
fof(f815,axiom,
! [X0,X1,X2] :
( v1_relat_1(X2)
=> k7_relat_1(X2,k3_xboole_0(X0,X1)) = k3_xboole_0(k7_relat_1(X2,X0),k7_relat_1(X2,X1)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+10.ax',t108_relat_1) ).
fof(f816,axiom,
! [X0,X1,X2] :
( v1_relat_1(X2)
=> k7_relat_1(X2,k4_xboole_0(X0,X1)) = k4_xboole_0(k7_relat_1(X2,X0),k7_relat_1(X2,X1)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+10.ax',t109_relat_1) ).
fof(f817,axiom,
! [X0] :
( v1_relat_1(X0)
=> k7_relat_1(X0,k1_xboole_0) = k1_xboole_0 ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+10.ax',t110_relat_1) ).
fof(f818,axiom,
! [X0] : k7_relat_1(k1_xboole_0,X0) = k1_xboole_0,
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+10.ax',t111_relat_1) ).
fof(f819,axiom,
! [X0,X1] :
( v1_relat_1(X1)
=> ! [X2] :
( v1_relat_1(X2)
=> k7_relat_1(k5_relat_1(X1,X2),X0) = k5_relat_1(k7_relat_1(X1,X0),X2) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+10.ax',t112_relat_1) ).
fof(f820,axiom,
! [X0,X1] :
( v1_relat_1(X1)
=> ! [X2] :
( v1_relat_1(X2)
=> ( X2 = k8_relat_1(X0,X1)
<=> ! [X3,X4] :
( r2_hidden(k4_tarski(X3,X4),X2)
<=> ( r2_hidden(k4_tarski(X3,X4),X1)
& r2_hidden(X4,X0) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+10.ax',d12_relat_1) ).
fof(f823,axiom,
! [X0,X1,X2] :
( v1_relat_1(X2)
=> ( r2_hidden(X0,k2_relat_1(k8_relat_1(X1,X2)))
<=> ( r2_hidden(X0,k2_relat_1(X2))
& r2_hidden(X0,X1) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+10.ax',t115_relat_1) ).
fof(f824,axiom,
! [X0,X1] :
( v1_relat_1(X1)
=> r1_tarski(k2_relat_1(k8_relat_1(X0,X1)),X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+10.ax',t116_relat_1) ).
fof(f825,axiom,
! [X0,X1] :
( v1_relat_1(X1)
=> r1_tarski(k8_relat_1(X0,X1),X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+10.ax',t117_relat_1) ).
fof(f826,axiom,
! [X0,X1] :
( v1_relat_1(X1)
=> r1_tarski(k2_relat_1(k8_relat_1(X0,X1)),k2_relat_1(X1)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+10.ax',t118_relat_1) ).
fof(f827,axiom,
! [X0,X1] :
( v1_relat_1(X1)
=> k2_relat_1(k8_relat_1(X0,X1)) = k3_xboole_0(k2_relat_1(X1),X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+10.ax',t119_relat_1) ).
fof(f828,axiom,
! [X0,X1] :
( v1_relat_1(X1)
=> ( r1_tarski(X0,k2_relat_1(X1))
=> k2_relat_1(k8_relat_1(X0,X1)) = X0 ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+10.ax',t120_relat_1) ).
fof(f829,axiom,
! [X0,X1] :
( v1_relat_1(X1)
=> ! [X2] :
( v1_relat_1(X2)
=> r1_tarski(k5_relat_1(k8_relat_1(X0,X1),X2),k5_relat_1(X1,X2)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+10.ax',t121_relat_1) ).
fof(f830,axiom,
! [X0,X1] :
( v1_relat_1(X1)
=> ! [X2] :
( v1_relat_1(X2)
=> r1_tarski(k5_relat_1(X1,k8_relat_1(X0,X2)),k5_relat_1(X1,X2)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+10.ax',t122_relat_1) ).
fof(f831,axiom,
! [X0,X1] :
( v1_relat_1(X1)
=> k8_relat_1(X0,X1) = k5_relat_1(X1,k6_relat_1(X0)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+10.ax',t123_relat_1) ).
fof(f832,axiom,
! [X0,X1] :
( v1_relat_1(X1)
=> k8_relat_1(X0,X1) = k3_xboole_0(X1,k2_zfmisc_1(k1_relat_1(X1),X0)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+10.ax',t124_relat_1) ).
fof(f833,axiom,
! [X0,X1] :
( v1_relat_1(X1)
=> ( r1_tarski(k2_relat_1(X1),X0)
=> k8_relat_1(X0,X1) = X1 ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+10.ax',t125_relat_1) ).
fof(f834,axiom,
! [X0] :
( v1_relat_1(X0)
=> k8_relat_1(k2_relat_1(X0),X0) = X0 ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+10.ax',t126_relat_1) ).
fof(f835,axiom,
! [X0,X1,X2] :
( v1_relat_1(X2)
=> k8_relat_1(X0,k8_relat_1(X1,X2)) = k8_relat_1(k3_xboole_0(X0,X1),X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+10.ax',t127_relat_1) ).
fof(f836,axiom,
! [X0,X1] :
( v1_relat_1(X1)
=> k8_relat_1(X0,k8_relat_1(X0,X1)) = k8_relat_1(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+10.ax',t128_relat_1) ).
fof(f837,axiom,
! [X0,X1,X2] :
( v1_relat_1(X2)
=> ( r1_tarski(X0,X1)
=> k8_relat_1(X1,k8_relat_1(X0,X2)) = k8_relat_1(X0,X2) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+10.ax',t129_relat_1) ).
fof(f838,axiom,
! [X0,X1,X2] :
( v1_relat_1(X2)
=> ( r1_tarski(X0,X1)
=> k8_relat_1(X0,k8_relat_1(X1,X2)) = k8_relat_1(X0,X2) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+10.ax',t130_relat_1) ).
fof(f839,axiom,
! [X0,X1,X2] :
( v1_relat_1(X2)
=> ( r1_tarski(X0,X1)
=> r1_tarski(k8_relat_1(X0,X2),k8_relat_1(X1,X2)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+10.ax',t131_relat_1) ).
fof(f840,axiom,
! [X0,X1] :
( v1_relat_1(X1)
=> ! [X2] :
( v1_relat_1(X2)
=> ( r1_tarski(X1,X2)
=> r1_tarski(k8_relat_1(X0,X1),k8_relat_1(X0,X2)) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+10.ax',t132_relat_1) ).
fof(f841,axiom,
! [X0,X1,X2] :
( v1_relat_1(X2)
=> ! [X3] :
( v1_relat_1(X3)
=> ( ( r1_tarski(X0,X1)
& r1_tarski(X2,X3) )
=> r1_tarski(k8_relat_1(X0,X2),k8_relat_1(X1,X3)) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+10.ax',t133_relat_1) ).
fof(f842,axiom,
! [X0,X1,X2] :
( v1_relat_1(X2)
=> k8_relat_1(k2_xboole_0(X0,X1),X2) = k2_xboole_0(k8_relat_1(X0,X2),k8_relat_1(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+10.ax',t134_relat_1) ).
fof(f843,axiom,
! [X0,X1,X2] :
( v1_relat_1(X2)
=> k8_relat_1(k3_xboole_0(X0,X1),X2) = k3_xboole_0(k8_relat_1(X0,X2),k8_relat_1(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+10.ax',t135_relat_1) ).
fof(f844,axiom,
! [X0,X1,X2] :
( v1_relat_1(X2)
=> k8_relat_1(k4_xboole_0(X0,X1),X2) = k4_xboole_0(k8_relat_1(X0,X2),k8_relat_1(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+10.ax',t136_relat_1) ).
fof(f845,axiom,
! [X0] :
( v1_relat_1(X0)
=> k8_relat_1(k1_xboole_0,X0) = k1_xboole_0 ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+10.ax',t137_relat_1) ).
fof(f846,axiom,
! [X0] : k8_relat_1(X0,k1_xboole_0) = k1_xboole_0,
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+10.ax',t138_relat_1) ).
fof(f847,axiom,
! [X0,X1] :
( v1_relat_1(X1)
=> ! [X2] :
( v1_relat_1(X2)
=> k8_relat_1(X0,k5_relat_1(X1,X2)) = k5_relat_1(X1,k8_relat_1(X0,X2)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+10.ax',t139_relat_1) ).
fof(f848,axiom,
! [X0,X1,X2] :
( v1_relat_1(X2)
=> k7_relat_1(k8_relat_1(X0,X2),X1) = k8_relat_1(X0,k7_relat_1(X2,X1)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+10.ax',t140_relat_1) ).
fof(f849,axiom,
! [X0] :
( v1_relat_1(X0)
=> ! [X1,X2] :
( X2 = k9_relat_1(X0,X1)
<=> ! [X3] :
( r2_hidden(X3,X2)
<=> ? [X4] :
( r2_hidden(X4,X1)
& r2_hidden(k4_tarski(X4,X3),X0) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+10.ax',d13_relat_1) ).
fof(f852,axiom,
! [X0,X1,X2] :
( v1_relat_1(X2)
=> ( r2_hidden(X0,k9_relat_1(X2,X1))
<=> ? [X3] :
( r2_hidden(X3,X1)
& r2_hidden(k4_tarski(X3,X0),X2)
& r2_hidden(X3,k1_relat_1(X2)) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+10.ax',t143_relat_1) ).
fof(f853,axiom,
! [X0,X1] :
( v1_relat_1(X1)
=> r1_tarski(k9_relat_1(X1,X0),k2_relat_1(X1)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+10.ax',t144_relat_1) ).
fof(f854,axiom,
! [X0,X1] :
( v1_relat_1(X1)
=> k9_relat_1(X1,X0) = k9_relat_1(X1,k3_xboole_0(k1_relat_1(X1),X0)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+10.ax',t145_relat_1) ).
fof(f855,axiom,
! [X0] :
( v1_relat_1(X0)
=> k9_relat_1(X0,k1_relat_1(X0)) = k2_relat_1(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+10.ax',t146_relat_1) ).
fof(f856,axiom,
! [X0,X1] :
( v1_relat_1(X1)
=> r1_tarski(k9_relat_1(X1,X0),k9_relat_1(X1,k1_relat_1(X1))) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+10.ax',t147_relat_1) ).
fof(f857,axiom,
! [X0,X1] :
( v1_relat_1(X1)
=> k2_relat_1(k7_relat_1(X1,X0)) = k9_relat_1(X1,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+10.ax',t148_relat_1) ).
fof(f858,axiom,
! [X0] :
( v1_relat_1(X0)
=> k9_relat_1(X0,k1_xboole_0) = k1_xboole_0 ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+10.ax',t149_relat_1) ).
fof(f859,axiom,
! [X0] : k9_relat_1(k1_xboole_0,X0) = k1_xboole_0,
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+10.ax',t150_relat_1) ).
fof(f860,axiom,
! [X0,X1] :
( v1_relat_1(X1)
=> ( k9_relat_1(X1,X0) = k1_xboole_0
<=> r1_xboole_0(k1_relat_1(X1),X0) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+10.ax',t151_relat_1) ).
fof(f861,axiom,
! [X0,X1] :
( v1_relat_1(X1)
=> ~ ( k9_relat_1(X1,X0) = k1_xboole_0
& r1_tarski(X0,k1_relat_1(X1))
& X0 != k1_xboole_0 ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+10.ax',t152_relat_1) ).
fof(f862,axiom,
! [X0,X1,X2] :
( v1_relat_1(X2)
=> k9_relat_1(X2,k2_xboole_0(X0,X1)) = k2_xboole_0(k9_relat_1(X2,X0),k9_relat_1(X2,X1)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+10.ax',t153_relat_1) ).
fof(f863,axiom,
! [X0,X1,X2] :
( v1_relat_1(X2)
=> r1_tarski(k9_relat_1(X2,k3_xboole_0(X0,X1)),k3_xboole_0(k9_relat_1(X2,X0),k9_relat_1(X2,X1))) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+10.ax',t154_relat_1) ).
fof(f864,axiom,
! [X0,X1,X2] :
( v1_relat_1(X2)
=> r1_tarski(k4_xboole_0(k9_relat_1(X2,X0),k9_relat_1(X2,X1)),k9_relat_1(X2,k4_xboole_0(X0,X1))) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+10.ax',t155_relat_1) ).
fof(f865,axiom,
! [X0,X1,X2] :
( v1_relat_1(X2)
=> ( r1_tarski(X0,X1)
=> r1_tarski(k9_relat_1(X2,X0),k9_relat_1(X2,X1)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+10.ax',t156_relat_1) ).
fof(f866,axiom,
! [X0,X1] :
( v1_relat_1(X1)
=> ! [X2] :
( v1_relat_1(X2)
=> ( r1_tarski(X1,X2)
=> r1_tarski(k9_relat_1(X1,X0),k9_relat_1(X2,X0)) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+10.ax',t157_relat_1) ).
fof(f867,axiom,
! [X0,X1,X2] :
( v1_relat_1(X2)
=> ! [X3] :
( v1_relat_1(X3)
=> ( ( r1_tarski(X0,X1)
& r1_tarski(X2,X3) )
=> r1_tarski(k9_relat_1(X2,X0),k9_relat_1(X3,X1)) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+10.ax',t158_relat_1) ).
fof(f868,axiom,
! [X0,X1] :
( v1_relat_1(X1)
=> ! [X2] :
( v1_relat_1(X2)
=> k9_relat_1(k5_relat_1(X1,X2),X0) = k9_relat_1(X2,k9_relat_1(X1,X0)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+10.ax',t159_relat_1) ).
fof(f869,axiom,
! [X0] :
( v1_relat_1(X0)
=> ! [X1] :
( v1_relat_1(X1)
=> k2_relat_1(k5_relat_1(X0,X1)) = k9_relat_1(X1,k2_relat_1(X0)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+10.ax',t160_relat_1) ).
fof(f870,axiom,
! [X0,X1,X2] :
( v1_relat_1(X2)
=> r1_tarski(k9_relat_1(k7_relat_1(X2,X0),X1),k9_relat_1(X2,X1)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+10.ax',t161_relat_1) ).
fof(f872,axiom,
! [X0,X1] :
( v1_relat_1(X1)
=> r1_tarski(k3_xboole_0(k1_relat_1(X1),X0),k9_relat_1(k4_relat_1(X1),k9_relat_1(X1,X0))) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+10.ax',t163_relat_1) ).
fof(f873,axiom,
! [X0] :
( v1_relat_1(X0)
=> ! [X1,X2] :
( X2 = k10_relat_1(X0,X1)
<=> ! [X3] :
( r2_hidden(X3,X2)
<=> ? [X4] :
( r2_hidden(X4,X1)
& r2_hidden(k4_tarski(X3,X4),X0) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+10.ax',d14_relat_1) ).
fof(f876,axiom,
! [X0,X1,X2] :
( v1_relat_1(X2)
=> ( r2_hidden(X0,k10_relat_1(X2,X1))
<=> ? [X3] :
( r2_hidden(X3,X1)
& r2_hidden(k4_tarski(X0,X3),X2)
& r2_hidden(X3,k2_relat_1(X2)) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+10.ax',t166_relat_1) ).
fof(f877,axiom,
! [X0,X1] :
( v1_relat_1(X1)
=> r1_tarski(k10_relat_1(X1,X0),k1_relat_1(X1)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+10.ax',t167_relat_1) ).
fof(f878,axiom,
! [X0,X1] :
( v1_relat_1(X1)
=> k10_relat_1(X1,X0) = k10_relat_1(X1,k3_xboole_0(k2_relat_1(X1),X0)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+10.ax',t168_relat_1) ).
fof(f879,axiom,
! [X0] :
( v1_relat_1(X0)
=> k10_relat_1(X0,k2_relat_1(X0)) = k1_relat_1(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+10.ax',t169_relat_1) ).
fof(f880,axiom,
! [X0,X1] :
( v1_relat_1(X1)
=> r1_tarski(k10_relat_1(X1,X0),k10_relat_1(X1,k2_relat_1(X1))) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+10.ax',t170_relat_1) ).
fof(f881,axiom,
! [X0] :
( v1_relat_1(X0)
=> k10_relat_1(X0,k1_xboole_0) = k1_xboole_0 ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+10.ax',t171_relat_1) ).
fof(f882,axiom,
! [X0] : k10_relat_1(k1_xboole_0,X0) = k1_xboole_0,
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+10.ax',t172_relat_1) ).
fof(f883,axiom,
! [X0,X1] :
( v1_relat_1(X1)
=> ( k10_relat_1(X1,X0) = k1_xboole_0
<=> r1_xboole_0(k2_relat_1(X1),X0) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+10.ax',t173_relat_1) ).
fof(f884,axiom,
! [X0,X1] :
( v1_relat_1(X1)
=> ~ ( k10_relat_1(X1,X0) = k1_xboole_0
& r1_tarski(X0,k2_relat_1(X1))
& X0 != k1_xboole_0 ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+10.ax',t174_relat_1) ).
fof(f885,axiom,
! [X0,X1,X2] :
( v1_relat_1(X2)
=> k10_relat_1(X2,k2_xboole_0(X0,X1)) = k2_xboole_0(k10_relat_1(X2,X0),k10_relat_1(X2,X1)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+10.ax',t175_relat_1) ).
fof(f886,axiom,
! [X0,X1,X2] :
( v1_relat_1(X2)
=> r1_tarski(k10_relat_1(X2,k3_xboole_0(X0,X1)),k3_xboole_0(k10_relat_1(X2,X0),k10_relat_1(X2,X1))) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+10.ax',t176_relat_1) ).
fof(f887,axiom,
! [X0,X1,X2] :
( v1_relat_1(X2)
=> r1_tarski(k4_xboole_0(k10_relat_1(X2,X0),k10_relat_1(X2,X1)),k10_relat_1(X2,k4_xboole_0(X0,X1))) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+10.ax',t177_relat_1) ).
fof(f888,axiom,
! [X0,X1,X2] :
( v1_relat_1(X2)
=> ( r1_tarski(X0,X1)
=> r1_tarski(k10_relat_1(X2,X0),k10_relat_1(X2,X1)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+10.ax',t178_relat_1) ).
fof(f889,axiom,
! [X0,X1] :
( v1_relat_1(X1)
=> ! [X2] :
( v1_relat_1(X2)
=> ( r1_tarski(X1,X2)
=> r1_tarski(k10_relat_1(X1,X0),k10_relat_1(X2,X0)) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+10.ax',t179_relat_1) ).
fof(f890,axiom,
! [X0,X1,X2] :
( v1_relat_1(X2)
=> ! [X3] :
( v1_relat_1(X3)
=> ( ( r1_tarski(X0,X1)
& r1_tarski(X2,X3) )
=> r1_tarski(k10_relat_1(X2,X0),k10_relat_1(X3,X1)) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+10.ax',t180_relat_1) ).
fof(f891,axiom,
! [X0,X1] :
( v1_relat_1(X1)
=> ! [X2] :
( v1_relat_1(X2)
=> k10_relat_1(k5_relat_1(X1,X2),X0) = k10_relat_1(X1,k10_relat_1(X2,X0)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+10.ax',t181_relat_1) ).
fof(f892,axiom,
! [X0] :
( v1_relat_1(X0)
=> ! [X1] :
( v1_relat_1(X1)
=> k1_relat_1(k5_relat_1(X0,X1)) = k10_relat_1(X0,k1_relat_1(X1)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+10.ax',t182_relat_1) ).
fof(f893,axiom,
! [X0,X1] :
( v1_relat_1(X1)
=> r1_tarski(k3_xboole_0(k2_relat_1(X1),X0),k10_relat_1(k4_relat_1(X1),k10_relat_1(X1,X0))) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+10.ax',t183_relat_1) ).
fof(f896,axiom,
! [X0] :
( v1_relat_1(X0)
=> ! [X1] :
( v1_relat_1(X1)
=> ! [X2,X3] :
( ( k7_relat_1(X0,X3) = k7_relat_1(X1,X3)
& k7_relat_1(X0,X2) = k7_relat_1(X1,X2) )
=> k7_relat_1(X0,k2_xboole_0(X2,X3)) = k7_relat_1(X1,k2_xboole_0(X2,X3)) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+10.ax',t185_relat_1) ).
fof(f897,axiom,
! [X0,X1] :
( v1_relat_1(X1)
=> ! [X2] :
( v1_relat_1(X2)
=> ( ( r1_tarski(X2,X1)
& r1_tarski(k1_relat_1(X2),X0) )
=> r1_tarski(X2,k7_relat_1(X1,X0)) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+10.ax',t186_relat_1) ).
fof(f898,axiom,
! [X0] :
( v1_relat_1(X0)
=> ! [X1] :
( r1_xboole_0(X1,k1_relat_1(X0))
=> k7_relat_1(X0,X1) = k1_xboole_0 ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+10.ax',t187_relat_1) ).
fof(f899,axiom,
! [X0] :
( v1_relat_1(X0)
=> ! [X1] :
( v1_relat_1(X1)
=> ! [X2,X3] :
( ( k7_relat_1(X0,X3) = k7_relat_1(X1,X3)
& r1_tarski(X2,X3) )
=> k7_relat_1(X0,X2) = k7_relat_1(X1,X2) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+10.ax',t188_relat_1) ).
fof(f900,axiom,
! [X0] :
( v1_relat_1(X0)
=> ! [X1] :
( v1_relat_1(X1)
=> k7_relat_1(X0,k1_relat_1(X1)) = k7_relat_1(X0,k1_relat_1(k7_relat_1(X1,k1_relat_1(X0)))) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+10.ax',t189_relat_1) ).
fof(f906,axiom,
! [X0] :
( v1_relat_1(X0)
=> v1_relat_1(k4_relat_1(X0)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+10.ax',dt_k4_relat_1) ).
fof(f907,axiom,
! [X0] :
( v1_relat_1(X0)
=> k4_relat_1(k4_relat_1(X0)) = X0 ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+10.ax',involutiveness_k4_relat_1) ).
fof(f908,axiom,
! [X0,X1] :
( ( v1_relat_1(X1)
& v1_relat_1(X0) )
=> v1_relat_1(k5_relat_1(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+10.ax',dt_k5_relat_1) ).
fof(f909,axiom,
! [X0] : v1_relat_1(k6_relat_1(X0)),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+10.ax',dt_k6_relat_1) ).
fof(f910,axiom,
! [X0,X1] :
( v1_relat_1(X0)
=> v1_relat_1(k7_relat_1(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+10.ax',dt_k7_relat_1) ).
fof(f911,axiom,
! [X0,X1] :
( v1_relat_1(X1)
=> v1_relat_1(k8_relat_1(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+10.ax',dt_k8_relat_1) ).
fof(f914,axiom,
? [X0] :
( v1_funct_1(X0)
& v1_relat_1(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+11.ax',rc1_funct_1) ).
fof(f915,axiom,
! [X0] :
( v1_xboole_0(X0)
=> v1_funct_1(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+11.ax',cc1_funct_1) ).
fof(f916,axiom,
! [X0,X1] :
( ( v1_funct_1(X1)
& v1_relat_1(X1)
& v1_funct_1(X0)
& v1_relat_1(X0) )
=> ( v1_funct_1(k5_relat_1(X0,X1))
& v1_relat_1(k5_relat_1(X0,X1)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+11.ax',fc1_funct_1) ).
fof(f917,axiom,
! [X0] :
( v1_funct_1(k6_relat_1(X0))
& v1_relat_1(k6_relat_1(X0)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+11.ax',fc2_funct_1) ).
fof(f918,axiom,
? [X0] :
( v1_funct_1(X0)
& v1_xboole_0(X0)
& v1_relat_1(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+11.ax',rc2_funct_1) ).
fof(f919,axiom,
! [X0] :
( ( v1_funct_1(X0)
& v1_xboole_0(X0)
& v1_relat_1(X0) )
=> ( v2_funct_1(X0)
& v1_funct_1(X0)
& v1_relat_1(X0) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+11.ax',cc2_funct_1) ).
fof(f920,axiom,
? [X0] :
( v2_funct_1(X0)
& v1_funct_1(X0)
& v1_relat_1(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+11.ax',rc3_funct_1) ).
fof(f921,axiom,
! [X0] :
( ( v2_funct_1(X0)
& v1_funct_1(X0)
& v1_relat_1(X0) )
=> ( v1_funct_1(k4_relat_1(X0))
& v1_relat_1(k4_relat_1(X0)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+11.ax',fc3_funct_1) ).
fof(f922,axiom,
! [X0,X1] :
( ( v1_funct_1(X0)
& v1_relat_1(X0) )
=> ( v1_funct_1(k7_relat_1(X0,X1))
& v1_relat_1(k7_relat_1(X0,X1)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+11.ax',fc4_funct_1) ).
fof(f923,axiom,
! [X0,X1] :
( ( v1_funct_1(X1)
& v1_relat_1(X1) )
=> ( v1_funct_1(k8_relat_1(X0,X1))
& v1_relat_1(k8_relat_1(X0,X1)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+11.ax',fc5_funct_1) ).
fof(f927,axiom,
! [X0] :
( v1_funct_1(X0)
<=> ! [X1,X2,X3] :
( ( r2_hidden(k4_tarski(X1,X3),X0)
& r2_hidden(k4_tarski(X1,X2),X0) )
=> X2 = X3 ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+11.ax',d1_funct_1) ).
fof(f929,axiom,
! [X0] :
( ( ! [X1,X2,X3] :
( ( r2_hidden(k4_tarski(X1,X3),X0)
& r2_hidden(k4_tarski(X1,X2),X0) )
=> X2 = X3 )
& ! [X1] :
~ ( ! [X2,X3] : k4_tarski(X2,X3) != X1
& r2_hidden(X1,X0) ) )
=> ( v1_funct_1(X0)
& v1_relat_1(X0) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+11.ax',t2_funct_1) ).
fof(f932,axiom,
! [X0] :
( ( v1_funct_1(X0)
& v1_relat_1(X0) )
=> ! [X1,X2] :
( ( ~ r2_hidden(X1,k1_relat_1(X0))
=> ( X2 = k1_funct_1(X0,X1)
<=> X2 = k1_xboole_0 ) )
& ( r2_hidden(X1,k1_relat_1(X0))
=> ( X2 = k1_funct_1(X0,X1)
<=> r2_hidden(k4_tarski(X1,X2),X0) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+11.ax',d4_funct_1) ).
fof(f938,axiom,
! [X0,X1,X2] :
( ( v1_funct_1(X2)
& v1_relat_1(X2) )
=> ( r2_hidden(k4_tarski(X0,X1),X2)
<=> ( X1 = k1_funct_1(X2,X0)
& r2_hidden(X0,k1_relat_1(X2)) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+11.ax',t8_funct_1) ).
fof(f939,axiom,
! [X0] :
( ( v1_funct_1(X0)
& v1_relat_1(X0) )
=> ! [X1] :
( ( v1_funct_1(X1)
& v1_relat_1(X1) )
=> ( ( ! [X2] :
( r2_hidden(X2,k1_relat_1(X0))
=> k1_funct_1(X0,X2) = k1_funct_1(X1,X2) )
& k1_relat_1(X0) = k1_relat_1(X1) )
=> X0 = X1 ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+11.ax',t9_funct_1) ).
fof(f940,axiom,
! [X0] :
( ( v1_funct_1(X0)
& v1_relat_1(X0) )
=> ! [X1] :
( X1 = k2_relat_1(X0)
<=> ! [X2] :
( r2_hidden(X2,X1)
<=> ? [X3] :
( X2 = k1_funct_1(X0,X3)
& r2_hidden(X3,k1_relat_1(X0)) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+11.ax',d5_funct_1) ).
fof(f945,axiom,
! [X0,X1] :
( ( v1_funct_1(X1)
& v1_relat_1(X1) )
=> ( k1_relat_1(X1) = k1_tarski(X0)
=> k2_relat_1(X1) = k1_tarski(k1_funct_1(X1,X0)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+11.ax',t14_funct_1) ).
fof(f946,axiom,
! [X0] :
( X0 != k1_xboole_0
=> ! [X1] :
? [X2] :
( k2_relat_1(X2) = k1_tarski(X1)
& k1_relat_1(X2) = X0
& v1_funct_1(X2)
& v1_relat_1(X2) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+11.ax',t15_funct_1) ).
fof(f947,axiom,
! [X0] :
( ! [X1] :
( ( v1_funct_1(X1)
& v1_relat_1(X1) )
=> ! [X2] :
( ( v1_funct_1(X2)
& v1_relat_1(X2) )
=> ( ( k1_relat_1(X2) = X0
& k1_relat_1(X1) = X0 )
=> X1 = X2 ) ) )
=> X0 = k1_xboole_0 ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+11.ax',t16_funct_1) ).
fof(f948,axiom,
! [X0,X1] :
( ( v1_funct_1(X1)
& v1_relat_1(X1) )
=> ! [X2] :
( ( v1_funct_1(X2)
& v1_relat_1(X2) )
=> ( ( k2_relat_1(X2) = k1_tarski(X0)
& k2_relat_1(X1) = k1_tarski(X0)
& k1_relat_1(X1) = k1_relat_1(X2) )
=> X1 = X2 ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+11.ax',t17_funct_1) ).
fof(f949,axiom,
! [X0,X1] :
~ ( ! [X2] :
( ( v1_funct_1(X2)
& v1_relat_1(X2) )
=> ~ ( r1_tarski(k2_relat_1(X2),X0)
& X1 = k1_relat_1(X2) ) )
& ~ ( X1 != k1_xboole_0
& X0 = k1_xboole_0 ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+11.ax',t18_funct_1) ).
fof(f950,axiom,
! [X0,X1] :
( ( v1_funct_1(X1)
& v1_relat_1(X1) )
=> ( ! [X2] :
~ ( ! [X3] :
~ ( X2 = k1_funct_1(X1,X3)
& r2_hidden(X3,k1_relat_1(X1)) )
& r2_hidden(X2,X0) )
=> r1_tarski(X0,k2_relat_1(X1)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+11.ax',t19_funct_1) ).
fof(f951,axiom,
! [X0] :
( ( v1_funct_1(X0)
& v1_relat_1(X0) )
=> ! [X1] :
( ( v1_funct_1(X1)
& v1_relat_1(X1) )
=> ! [X2] :
( ( v1_funct_1(X2)
& v1_relat_1(X2) )
=> ( ( ! [X3] :
( r2_hidden(X3,k1_relat_1(X2))
=> k1_funct_1(X2,X3) = k1_funct_1(X1,k1_funct_1(X0,X3)) )
& ! [X3] :
( r2_hidden(X3,k1_relat_1(X2))
<=> ( r2_hidden(k1_funct_1(X0,X3),k1_relat_1(X1))
& r2_hidden(X3,k1_relat_1(X0)) ) ) )
=> X2 = k5_relat_1(X0,X1) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+11.ax',t20_funct_1) ).
fof(f952,axiom,
! [X0,X1] :
( ( v1_funct_1(X1)
& v1_relat_1(X1) )
=> ! [X2] :
( ( v1_funct_1(X2)
& v1_relat_1(X2) )
=> ( r2_hidden(X0,k1_relat_1(k5_relat_1(X2,X1)))
<=> ( r2_hidden(k1_funct_1(X2,X0),k1_relat_1(X1))
& r2_hidden(X0,k1_relat_1(X2)) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+11.ax',t21_funct_1) ).
fof(f953,axiom,
! [X0,X1] :
( ( v1_funct_1(X1)
& v1_relat_1(X1) )
=> ! [X2] :
( ( v1_funct_1(X2)
& v1_relat_1(X2) )
=> ( r2_hidden(X0,k1_relat_1(k5_relat_1(X2,X1)))
=> k1_funct_1(k5_relat_1(X2,X1),X0) = k1_funct_1(X1,k1_funct_1(X2,X0)) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+11.ax',t22_funct_1) ).
fof(f954,axiom,
! [X0,X1] :
( ( v1_funct_1(X1)
& v1_relat_1(X1) )
=> ! [X2] :
( ( v1_funct_1(X2)
& v1_relat_1(X2) )
=> ( r2_hidden(X0,k1_relat_1(X1))
=> k1_funct_1(k5_relat_1(X1,X2),X0) = k1_funct_1(X2,k1_funct_1(X1,X0)) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+11.ax',t23_funct_1) ).
fof(f956,axiom,
! [X0,X1] :
( ( v1_funct_1(X1)
& v1_relat_1(X1) )
=> ! [X2] :
( ( v1_funct_1(X2)
& v1_relat_1(X2) )
=> ( r2_hidden(X0,k2_relat_1(k5_relat_1(X2,X1)))
=> r2_hidden(X0,k2_relat_1(X1)) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+11.ax',t25_funct_1) ).
fof(f958,axiom,
! [X0] :
( ( v1_funct_1(X0)
& v1_relat_1(X0) )
=> ! [X1] :
( ( v1_funct_1(X1)
& v1_relat_1(X1) )
=> ( k1_relat_1(k5_relat_1(X1,X0)) = k1_relat_1(X1)
=> r1_tarski(k2_relat_1(X1),k1_relat_1(X0)) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+11.ax',t27_funct_1) ).
fof(f964,axiom,
! [X0,X1] :
( ( v1_funct_1(X1)
& v1_relat_1(X1) )
=> ( ( ! [X2] :
( ( v1_funct_1(X2)
& v1_relat_1(X2) )
=> ! [X3] :
( ( v1_funct_1(X3)
& v1_relat_1(X3) )
=> ( ( k5_relat_1(X1,X2) = k5_relat_1(X1,X3)
& k1_relat_1(X3) = X0
& k1_relat_1(X2) = X0 )
=> X2 = X3 ) ) )
& r1_tarski(k2_relat_1(X1),X0) )
=> X0 = k2_relat_1(X1) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+11.ax',t33_funct_1) ).
fof(f965,axiom,
! [X0,X1] :
( ( v1_funct_1(X1)
& v1_relat_1(X1) )
=> ( X1 = k6_relat_1(X0)
<=> ( ! [X2] :
( r2_hidden(X2,X0)
=> k1_funct_1(X1,X2) = X2 )
& k1_relat_1(X1) = X0 ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+11.ax',t34_funct_1) ).
fof(f966,axiom,
! [X0,X1] :
( r2_hidden(X1,X0)
=> k1_funct_1(k6_relat_1(X0),X1) = X1 ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+11.ax',t35_funct_1) ).
fof(f968,axiom,
! [X0,X1] :
( ( v1_funct_1(X1)
& v1_relat_1(X1) )
=> k1_relat_1(k5_relat_1(k6_relat_1(X0),X1)) = k3_xboole_0(k1_relat_1(X1),X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+11.ax',t37_funct_1) ).
fof(f969,axiom,
! [X0,X1,X2] :
( ( v1_funct_1(X2)
& v1_relat_1(X2) )
=> ( r2_hidden(X1,k3_xboole_0(k1_relat_1(X2),X0))
=> k1_funct_1(X2,X1) = k1_funct_1(k5_relat_1(k6_relat_1(X0),X2),X1) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+11.ax',t38_funct_1) ).
fof(f971,axiom,
! [X0,X1,X2] :
( ( v1_funct_1(X2)
& v1_relat_1(X2) )
=> ( r2_hidden(X1,k1_relat_1(k5_relat_1(X2,k6_relat_1(X0))))
<=> ( r2_hidden(k1_funct_1(X2,X1),X0)
& r2_hidden(X1,k1_relat_1(X2)) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+11.ax',t40_funct_1) ).
fof(f974,axiom,
! [X0,X1] : k5_relat_1(k6_relat_1(X1),k6_relat_1(X0)) = k6_relat_1(k3_xboole_0(X0,X1)),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+11.ax',t43_funct_1) ).
fof(f975,axiom,
! [X0] :
( ( v1_funct_1(X0)
& v1_relat_1(X0) )
=> ! [X1] :
( ( v1_funct_1(X1)
& v1_relat_1(X1) )
=> ( ( k5_relat_1(X0,X1) = X0
& k2_relat_1(X0) = k1_relat_1(X1) )
=> X1 = k6_relat_1(k1_relat_1(X1)) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+11.ax',t44_funct_1) ).
fof(f978,axiom,
! [X0] :
( ( v1_funct_1(X0)
& v1_relat_1(X0) )
=> ( v2_funct_1(X0)
<=> ! [X1,X2] :
( ( k1_funct_1(X0,X1) = k1_funct_1(X0,X2)
& r2_hidden(X2,k1_relat_1(X0))
& r2_hidden(X1,k1_relat_1(X0)) )
=> X1 = X2 ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+11.ax',d8_funct_1) ).
fof(f980,axiom,
! [X0] :
( ( v1_funct_1(X0)
& v1_relat_1(X0) )
=> ! [X1] :
( ( v1_funct_1(X1)
& v1_relat_1(X1) )
=> ( ( v2_funct_1(X1)
& v2_funct_1(X0) )
=> v2_funct_1(k5_relat_1(X0,X1)) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+11.ax',t46_funct_1) ).
fof(f981,axiom,
! [X0] :
( ( v1_funct_1(X0)
& v1_relat_1(X0) )
=> ! [X1] :
( ( v1_funct_1(X1)
& v1_relat_1(X1) )
=> ( ( r1_tarski(k2_relat_1(X1),k1_relat_1(X0))
& v2_funct_1(k5_relat_1(X1,X0)) )
=> v2_funct_1(X1) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+11.ax',t47_funct_1) ).
fof(f982,axiom,
! [X0] :
( ( v1_funct_1(X0)
& v1_relat_1(X0) )
=> ! [X1] :
( ( v1_funct_1(X1)
& v1_relat_1(X1) )
=> ( ( k2_relat_1(X1) = k1_relat_1(X0)
& v2_funct_1(k5_relat_1(X1,X0)) )
=> ( v2_funct_1(X0)
& v2_funct_1(X1) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+11.ax',t48_funct_1) ).
fof(f983,axiom,
! [X0] :
( ( v1_funct_1(X0)
& v1_relat_1(X0) )
=> ( v2_funct_1(X0)
<=> ! [X1] :
( ( v1_funct_1(X1)
& v1_relat_1(X1) )
=> ! [X2] :
( ( v1_funct_1(X2)
& v1_relat_1(X2) )
=> ( ( k5_relat_1(X1,X0) = k5_relat_1(X2,X0)
& k1_relat_1(X1) = k1_relat_1(X2)
& r1_tarski(k2_relat_1(X2),k1_relat_1(X0))
& r1_tarski(k2_relat_1(X1),k1_relat_1(X0)) )
=> X1 = X2 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+11.ax',t49_funct_1) ).
fof(f984,axiom,
! [X0,X1] :
( ( v1_funct_1(X1)
& v1_relat_1(X1) )
=> ! [X2] :
( ( v1_funct_1(X2)
& v1_relat_1(X2) )
=> ( ( k5_relat_1(X2,X1) = X1
& v2_funct_1(X1)
& r1_tarski(k2_relat_1(X2),X0)
& k1_relat_1(X2) = X0
& k1_relat_1(X1) = X0 )
=> X2 = k6_relat_1(X0) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+11.ax',t50_funct_1) ).
fof(f985,axiom,
! [X0] :
( ( v1_funct_1(X0)
& v1_relat_1(X0) )
=> ! [X1] :
( ( v1_funct_1(X1)
& v1_relat_1(X1) )
=> ( ( v2_funct_1(X0)
& k2_relat_1(k5_relat_1(X1,X0)) = k2_relat_1(X0) )
=> r1_tarski(k1_relat_1(X0),k2_relat_1(X1)) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+11.ax',t51_funct_1) ).
fof(f986,axiom,
! [X0] : v2_funct_1(k6_relat_1(X0)),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+11.ax',t52_funct_1) ).
fof(f987,axiom,
! [X0] :
( ( v1_funct_1(X0)
& v1_relat_1(X0) )
=> ( ? [X1] :
( k5_relat_1(X0,X1) = k6_relat_1(k1_relat_1(X0))
& v1_funct_1(X1)
& v1_relat_1(X1) )
=> v2_funct_1(X0) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+11.ax',t53_funct_1) ).
fof(f988,axiom,
! [X0] :
( ( v1_funct_1(X0)
& v1_relat_1(X0) )
=> ( v2_funct_1(X0)
=> k2_funct_1(X0) = k4_relat_1(X0) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+11.ax',d9_funct_1) ).
fof(f1003,axiom,
! [X0,X1] :
( ( v1_funct_1(X1)
& v1_relat_1(X1) )
=> ! [X2] :
( ( v1_funct_1(X2)
& v1_relat_1(X2) )
=> ( X1 = k7_relat_1(X2,X0)
<=> ( ! [X3] :
( r2_hidden(X3,k1_relat_1(X1))
=> k1_funct_1(X1,X3) = k1_funct_1(X2,X3) )
& k1_relat_1(X1) = k3_xboole_0(k1_relat_1(X2),X0) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+11.ax',t68_funct_1) ).
fof(f1005,axiom,
! [X0,X1,X2] :
( ( v1_funct_1(X2)
& v1_relat_1(X2) )
=> ( r2_hidden(X1,k1_relat_1(k7_relat_1(X2,X0)))
=> k1_funct_1(k7_relat_1(X2,X0),X1) = k1_funct_1(X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+11.ax',t70_funct_1) ).
fof(f1006,axiom,
! [X0,X1,X2] :
( ( v1_funct_1(X2)
& v1_relat_1(X2) )
=> ( r2_hidden(X1,k3_xboole_0(k1_relat_1(X2),X0))
=> k1_funct_1(k7_relat_1(X2,X0),X1) = k1_funct_1(X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+11.ax',t71_funct_1) ).
fof(f1007,axiom,
! [X0,X1,X2] :
( ( v1_funct_1(X2)
& v1_relat_1(X2) )
=> ( r2_hidden(X1,X0)
=> k1_funct_1(k7_relat_1(X2,X0),X1) = k1_funct_1(X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+11.ax',t72_funct_1) ).
fof(f1008,axiom,
! [X0,X1,X2] :
( ( v1_funct_1(X2)
& v1_relat_1(X2) )
=> ( ( r2_hidden(X1,X0)
& r2_hidden(X1,k1_relat_1(X2)) )
=> r2_hidden(k1_funct_1(X2,X1),k2_relat_1(k7_relat_1(X2,X0))) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+11.ax',t73_funct_1) ).
fof(f1019,axiom,
! [X0,X1] :
( ( v1_funct_1(X1)
& v1_relat_1(X1) )
=> ( v2_funct_1(X1)
=> v2_funct_1(k7_relat_1(X1,X0)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+11.ax',t84_funct_1) ).
fof(f1020,axiom,
! [X0,X1] :
( ( v1_funct_1(X1)
& v1_relat_1(X1) )
=> ! [X2] :
( ( v1_funct_1(X2)
& v1_relat_1(X2) )
=> ( X1 = k8_relat_1(X0,X2)
<=> ( ! [X3] :
( r2_hidden(X3,k1_relat_1(X1))
=> k1_funct_1(X1,X3) = k1_funct_1(X2,X3) )
& ! [X3] :
( r2_hidden(X3,k1_relat_1(X1))
<=> ( r2_hidden(k1_funct_1(X2,X3),X0)
& r2_hidden(X3,k1_relat_1(X2)) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+11.ax',t85_funct_1) ).
fof(f1021,axiom,
! [X0,X1,X2] :
( ( v1_funct_1(X2)
& v1_relat_1(X2) )
=> ( r2_hidden(X1,k1_relat_1(k8_relat_1(X0,X2)))
<=> ( r2_hidden(k1_funct_1(X2,X1),X0)
& r2_hidden(X1,k1_relat_1(X2)) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+11.ax',t86_funct_1) ).
fof(f1022,axiom,
! [X0,X1,X2] :
( ( v1_funct_1(X2)
& v1_relat_1(X2) )
=> ( r2_hidden(X1,k1_relat_1(k8_relat_1(X0,X2)))
=> k1_funct_1(k8_relat_1(X0,X2),X1) = k1_funct_1(X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+11.ax',t87_funct_1) ).
fof(f1024,axiom,
! [X0,X1] :
( ( v1_funct_1(X1)
& v1_relat_1(X1) )
=> ( r1_tarski(k2_relat_1(k8_relat_1(X0,X1)),k2_relat_1(X1))
& r1_tarski(k1_relat_1(k8_relat_1(X0,X1)),k1_relat_1(X1)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+11.ax',t89_funct_1) ).
fof(f1034,axiom,
! [X0,X1] :
( ( v1_funct_1(X1)
& v1_relat_1(X1) )
=> ( v2_funct_1(X1)
=> v2_funct_1(k8_relat_1(X0,X1)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+11.ax',t99_funct_1) ).
fof(f1037,axiom,
! [X0] :
( ( v1_funct_1(X0)
& v1_relat_1(X0) )
=> ! [X1,X2] :
( X2 = k9_relat_1(X0,X1)
<=> ! [X3] :
( r2_hidden(X3,X2)
<=> ? [X4] :
( X3 = k1_funct_1(X0,X4)
& r2_hidden(X4,X1)
& r2_hidden(X4,k1_relat_1(X0)) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+11.ax',d12_funct_1) ).
fof(f1055,axiom,
! [X0,X1] :
( ( v1_funct_1(X1)
& v1_relat_1(X1) )
=> ( r2_hidden(X0,k1_relat_1(X1))
=> k9_relat_1(X1,k1_tarski(X0)) = k1_tarski(k1_funct_1(X1,X0)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+11.ax',t117_funct_1) ).
fof(f1056,axiom,
! [X0,X1,X2] :
( ( v1_funct_1(X2)
& v1_relat_1(X2) )
=> ( ( r2_hidden(X1,k1_relat_1(X2))
& r2_hidden(X0,k1_relat_1(X2)) )
=> k9_relat_1(X2,k2_tarski(X0,X1)) = k2_tarski(k1_funct_1(X2,X0),k1_funct_1(X2,X1)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+11.ax',t118_funct_1) ).
fof(f1058,axiom,
! [X0,X1,X2] :
( ( v1_funct_1(X2)
& v1_relat_1(X2) )
=> r1_tarski(k9_relat_1(k8_relat_1(X0,X2),X1),k9_relat_1(X2,X1)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+11.ax',t120_funct_1) ).
fof(f1059,axiom,
! [X0,X1,X2] :
( ( v1_funct_1(X2)
& v1_relat_1(X2) )
=> ( v2_funct_1(X2)
=> k9_relat_1(X2,k3_xboole_0(X0,X1)) = k3_xboole_0(k9_relat_1(X2,X0),k9_relat_1(X2,X1)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+11.ax',t121_funct_1) ).
fof(f1060,axiom,
! [X0] :
( ( v1_funct_1(X0)
& v1_relat_1(X0) )
=> ( ! [X1,X2] : k9_relat_1(X0,k3_xboole_0(X1,X2)) = k3_xboole_0(k9_relat_1(X0,X1),k9_relat_1(X0,X2))
=> v2_funct_1(X0) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+11.ax',t122_funct_1) ).
fof(f1061,axiom,
! [X0,X1,X2] :
( ( v1_funct_1(X2)
& v1_relat_1(X2) )
=> ( v2_funct_1(X2)
=> k9_relat_1(X2,k4_xboole_0(X0,X1)) = k4_xboole_0(k9_relat_1(X2,X0),k9_relat_1(X2,X1)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+11.ax',t123_funct_1) ).
fof(f1062,axiom,
! [X0] :
( ( v1_funct_1(X0)
& v1_relat_1(X0) )
=> ( ! [X1,X2] : k9_relat_1(X0,k4_xboole_0(X1,X2)) = k4_xboole_0(k9_relat_1(X0,X1),k9_relat_1(X0,X2))
=> v2_funct_1(X0) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+11.ax',t124_funct_1) ).
fof(f1063,axiom,
! [X0,X1,X2] :
( ( v1_funct_1(X2)
& v1_relat_1(X2) )
=> ( ( v2_funct_1(X2)
& r1_xboole_0(X0,X1) )
=> r1_xboole_0(k9_relat_1(X2,X0),k9_relat_1(X2,X1)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+11.ax',t125_funct_1) ).
fof(f1064,axiom,
! [X0,X1,X2] :
( ( v1_funct_1(X2)
& v1_relat_1(X2) )
=> k9_relat_1(k8_relat_1(X0,X2),X1) = k3_xboole_0(X0,k9_relat_1(X2,X1)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+11.ax',t126_funct_1) ).
fof(f1065,axiom,
! [X0] :
( ( v1_funct_1(X0)
& v1_relat_1(X0) )
=> ! [X1,X2] :
( X2 = k10_relat_1(X0,X1)
<=> ! [X3] :
( r2_hidden(X3,X2)
<=> ( r2_hidden(k1_funct_1(X0,X3),X1)
& r2_hidden(X3,k1_relat_1(X0)) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+11.ax',d13_funct_1) ).
fof(f1076,axiom,
! [X0,X1,X2] :
( ( v1_funct_1(X2)
& v1_relat_1(X2) )
=> k10_relat_1(X2,k3_xboole_0(X0,X1)) = k3_xboole_0(k10_relat_1(X2,X0),k10_relat_1(X2,X1)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+11.ax',t137_funct_1) ).
fof(f1077,axiom,
! [X0,X1,X2] :
( ( v1_funct_1(X2)
& v1_relat_1(X2) )
=> k10_relat_1(X2,k4_xboole_0(X0,X1)) = k4_xboole_0(k10_relat_1(X2,X0),k10_relat_1(X2,X1)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+11.ax',t138_funct_1) ).
fof(f1078,axiom,
! [X0,X1,X2] :
( v1_relat_1(X2)
=> k10_relat_1(k7_relat_1(X2,X0),X1) = k3_xboole_0(X0,k10_relat_1(X2,X1)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+11.ax',t139_funct_1) ).
fof(f1081,axiom,
! [X0,X1] :
( v1_relat_1(X1)
=> ( r2_hidden(X0,k2_relat_1(X1))
<=> k10_relat_1(X1,k1_tarski(X0)) != k1_xboole_0 ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+11.ax',t142_funct_1) ).
fof(f1082,axiom,
! [X0,X1] :
( v1_relat_1(X1)
=> ( ! [X2] :
~ ( k10_relat_1(X1,k1_tarski(X2)) = k1_xboole_0
& r2_hidden(X2,X0) )
=> r1_tarski(X0,k2_relat_1(X1)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+11.ax',t143_funct_1) ).
fof(f1083,axiom,
! [X0] :
( ( v1_funct_1(X0)
& v1_relat_1(X0) )
=> ( ! [X1] :
~ ( ! [X2] : k10_relat_1(X0,k1_tarski(X1)) != k1_tarski(X2)
& r2_hidden(X1,k2_relat_1(X0)) )
<=> v2_funct_1(X0) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+11.ax',t144_funct_1) ).
fof(f1084,axiom,
! [X0,X1] :
( ( v1_funct_1(X1)
& v1_relat_1(X1) )
=> r1_tarski(k9_relat_1(X1,k10_relat_1(X1,X0)),X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+11.ax',t145_funct_1) ).
fof(f1085,axiom,
! [X0,X1] :
( v1_relat_1(X1)
=> ( r1_tarski(X0,k1_relat_1(X1))
=> r1_tarski(X0,k10_relat_1(X1,k9_relat_1(X1,X0))) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+11.ax',t146_funct_1) ).
fof(f1086,axiom,
! [X0,X1] :
( ( v1_funct_1(X1)
& v1_relat_1(X1) )
=> ( r1_tarski(X0,k2_relat_1(X1))
=> k9_relat_1(X1,k10_relat_1(X1,X0)) = X0 ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+11.ax',t147_funct_1) ).
fof(f1087,axiom,
! [X0,X1] :
( ( v1_funct_1(X1)
& v1_relat_1(X1) )
=> k9_relat_1(X1,k10_relat_1(X1,X0)) = k3_xboole_0(X0,k9_relat_1(X1,k1_relat_1(X1))) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+11.ax',t148_funct_1) ).
fof(f1088,axiom,
! [X0,X1,X2] :
( ( v1_funct_1(X2)
& v1_relat_1(X2) )
=> r1_tarski(k9_relat_1(X2,k3_xboole_0(X0,k10_relat_1(X2,X1))),k3_xboole_0(k9_relat_1(X2,X0),X1)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+11.ax',t149_funct_1) ).
fof(f1089,axiom,
! [X0,X1,X2] :
( ( v1_funct_1(X2)
& v1_relat_1(X2) )
=> k9_relat_1(X2,k3_xboole_0(X0,k10_relat_1(X2,X1))) = k3_xboole_0(k9_relat_1(X2,X0),X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+11.ax',t150_funct_1) ).
fof(f1090,axiom,
! [X0,X1,X2] :
( v1_relat_1(X2)
=> r1_tarski(k3_xboole_0(X0,k10_relat_1(X2,X1)),k10_relat_1(X2,k3_xboole_0(k9_relat_1(X2,X0),X1))) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+11.ax',t151_funct_1) ).
fof(f1091,axiom,
! [X0,X1] :
( ( v1_funct_1(X1)
& v1_relat_1(X1) )
=> ( v2_funct_1(X1)
=> r1_tarski(k10_relat_1(X1,k9_relat_1(X1,X0)),X0) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+11.ax',t152_funct_1) ).
fof(f1092,axiom,
! [X0] :
( ( v1_funct_1(X0)
& v1_relat_1(X0) )
=> ( ! [X1] : r1_tarski(k10_relat_1(X0,k9_relat_1(X0,X1)),X1)
=> v2_funct_1(X0) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+11.ax',t153_funct_1) ).
fof(f1095,axiom,
! [X0,X1] :
( ( v1_funct_1(X1)
& v1_relat_1(X1) )
=> ! [X2] :
( ( v1_funct_1(X2)
& v1_relat_1(X2) )
=> ! [X3] :
( ( v1_funct_1(X3)
& v1_relat_1(X3) )
=> ( ( k5_relat_1(X1,X2) = k5_relat_1(X1,X3)
& k1_relat_1(X3) = X0
& k1_relat_1(X2) = X0
& X0 = k2_relat_1(X1) )
=> X2 = X3 ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+11.ax',t156_funct_1) ).
fof(f1096,axiom,
! [X0,X1,X2] :
( ( v1_funct_1(X2)
& v1_relat_1(X2) )
=> ( ( v2_funct_1(X2)
& r1_tarski(X0,k1_relat_1(X2))
& r1_tarski(k9_relat_1(X2,X0),k9_relat_1(X2,X1)) )
=> r1_tarski(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+11.ax',t157_funct_1) ).
fof(f1097,axiom,
! [X0,X1,X2] :
( ( v1_funct_1(X2)
& v1_relat_1(X2) )
=> ( ( r1_tarski(X0,k2_relat_1(X2))
& r1_tarski(k10_relat_1(X2,X0),k10_relat_1(X2,X1)) )
=> r1_tarski(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+11.ax',t158_funct_1) ).
fof(f1098,axiom,
! [X0] :
( ( v1_funct_1(X0)
& v1_relat_1(X0) )
=> ( v2_funct_1(X0)
<=> ! [X1] :
? [X2] : r1_tarski(k10_relat_1(X0,k1_tarski(X1)),k1_tarski(X2)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+11.ax',t159_funct_1) ).
fof(f1099,axiom,
! [X0,X1] :
( v1_relat_1(X1)
=> ! [X2] :
( v1_relat_1(X2)
=> ( r1_tarski(k2_relat_1(X1),k1_relat_1(X2))
=> r1_tarski(k10_relat_1(X1,X0),k10_relat_1(k5_relat_1(X1,X2),k9_relat_1(X2,X0))) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+11.ax',t160_funct_1) ).
fof(f1100,axiom,
! [X0,X1,X2] :
( ( v1_funct_1(X2)
& v1_relat_1(X2) )
=> ( ( r1_tarski(X1,k2_relat_1(X2))
& r1_tarski(X0,k2_relat_1(X2))
& k10_relat_1(X2,X0) = k10_relat_1(X2,X1) )
=> X0 = X1 ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+11.ax',t161_funct_1) ).
fof(f1101,axiom,
! [X0,X1] :
( m1_subset_1(X1,k1_zfmisc_1(X0))
=> k9_relat_1(k6_relat_1(X0),X1) = X1 ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+11.ax',t162_funct_1) ).
fof(f1142,axiom,
! [X0] :
( v1_relat_1(X0)
=> ( v1_relat_2(X0)
<=> r1_tarski(k6_relat_1(k3_relat_1(X0)),X0) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+13.ax',t17_relat_2) ).
fof(f1147,axiom,
! [X0] :
( v1_relat_1(X0)
=> ( ( v8_relat_2(X0)
& v3_relat_2(X0) )
=> v1_relat_2(X0) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+13.ax',t22_relat_2) ).
fof(f1152,axiom,
! [X0] :
( v1_relat_1(X0)
=> ( v1_relat_2(X0)
=> v1_relat_2(k4_relat_1(X0)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+13.ax',t27_relat_2) ).
fof(f1154,axiom,
! [X0] :
( v1_relat_1(X0)
=> ( v1_relat_2(X0)
=> ( k2_relat_1(X0) = k2_relat_1(k4_relat_1(X0))
& k1_relat_1(X0) = k1_relat_1(k4_relat_1(X0)) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+13.ax',t29_relat_2) ).
fof(f1155,axiom,
! [X0] :
( v1_relat_1(X0)
=> ( v3_relat_2(X0)
<=> X0 = k4_relat_1(X0) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+13.ax',t30_relat_2) ).
fof(f1156,axiom,
! [X0] :
( v1_relat_1(X0)
=> ! [X1] :
( v1_relat_1(X1)
=> ( ( v1_relat_2(X1)
& v1_relat_2(X0) )
=> ( v1_relat_2(k3_xboole_0(X0,X1))
& v1_relat_2(k2_xboole_0(X0,X1)) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+13.ax',t31_relat_2) ).
fof(f1159,axiom,
! [X0] :
( v1_relat_1(X0)
=> ( v3_relat_2(X0)
=> v3_relat_2(k4_relat_1(X0)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+13.ax',t34_relat_2) ).
fof(f1160,axiom,
! [X0] :
( v1_relat_1(X0)
=> ! [X1] :
( v1_relat_1(X1)
=> ( ( v3_relat_2(X1)
& v3_relat_2(X0) )
=> ( v3_relat_2(k4_xboole_0(X0,X1))
& v3_relat_2(k3_xboole_0(X0,X1))
& v3_relat_2(k2_xboole_0(X0,X1)) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+13.ax',t35_relat_2) ).
fof(f1167,axiom,
! [X0] :
( v1_relat_1(X0)
=> ( v8_relat_2(X0)
=> v8_relat_2(k4_relat_1(X0)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+13.ax',t42_relat_2) ).
fof(f1168,axiom,
! [X0] :
( v1_relat_1(X0)
=> ! [X1] :
( v1_relat_1(X1)
=> ( ( v8_relat_2(X1)
& v8_relat_2(X0) )
=> v8_relat_2(k3_xboole_0(X0,X1)) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+13.ax',t43_relat_2) ).
fof(f1169,axiom,
! [X0] :
( v1_relat_1(X0)
=> ( v8_relat_2(X0)
<=> r1_tarski(k5_relat_1(X0,X0),X0) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+13.ax',t44_relat_2) ).
fof(f1173,axiom,
! [X0] : ~ v1_xboole_0(k1_ordinal1(X0)),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+14.ax',fc1_ordinal1) ).
fof(f1187,axiom,
! [X0,X1,X2] :
~ ( r2_hidden(X2,X0)
& r2_hidden(X1,X2)
& r2_hidden(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+14.ax',t3_ordinal1) ).
fof(f1188,axiom,
! [X0,X1,X2,X3] :
~ ( r2_hidden(X3,X0)
& r2_hidden(X2,X3)
& r2_hidden(X1,X2)
& r2_hidden(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+14.ax',t4_ordinal1) ).
fof(f1189,axiom,
! [X0,X1,X2,X3,X4] :
~ ( r2_hidden(X4,X0)
& r2_hidden(X3,X4)
& r2_hidden(X2,X3)
& r2_hidden(X1,X2)
& r2_hidden(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+14.ax',t5_ordinal1) ).
fof(f1190,axiom,
! [X0,X1,X2,X3,X4,X5] :
~ ( r2_hidden(X5,X0)
& r2_hidden(X4,X5)
& r2_hidden(X3,X4)
& r2_hidden(X2,X3)
& r2_hidden(X1,X2)
& r2_hidden(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+14.ax',t6_ordinal1) ).
fof(f1191,axiom,
! [X0,X1] :
~ ( r1_tarski(X1,X0)
& r2_hidden(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+14.ax',t7_ordinal1) ).
fof(f1192,axiom,
! [X0] : k1_ordinal1(X0) = k2_xboole_0(X0,k1_tarski(X0)),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+14.ax',d1_ordinal1) ).
fof(f1197,axiom,
! [X0,X1] :
( k1_ordinal1(X0) = k1_ordinal1(X1)
=> X0 = X1 ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+14.ax',t12_ordinal1) ).
fof(f1199,axiom,
! [X0] : X0 != k1_ordinal1(X0),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+14.ax',t14_ordinal1) ).
fof(f1211,axiom,
! [X0,X1] :
( v3_ordinal1(X1)
=> ( r2_hidden(X0,X1)
=> v3_ordinal1(X0) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+14.ax',t23_ordinal1) ).
fof(f1212,axiom,
! [X0] :
( v3_ordinal1(X0)
=> ! [X1] :
( v3_ordinal1(X1)
=> ~ ( ~ r2_hidden(X1,X0)
& X0 != X1
& ~ r2_hidden(X0,X1) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+14.ax',t24_ordinal1) ).
fof(f1215,axiom,
v3_ordinal1(k1_xboole_0),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+14.ax',t27_ordinal1) ).
fof(f1217,axiom,
! [X0] :
( v3_ordinal1(X0)
=> v3_ordinal1(k1_ordinal1(X0)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+14.ax',t29_ordinal1) ).
fof(f1218,axiom,
! [X0] :
( v3_ordinal1(X0)
=> v3_ordinal1(k3_tarski(X0)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+14.ax',t30_ordinal1) ).
fof(f1219,axiom,
! [X0] :
( ! [X1] :
( r2_hidden(X1,X0)
=> ( r1_tarski(X1,X0)
& v3_ordinal1(X1) ) )
=> v3_ordinal1(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+14.ax',t31_ordinal1) ).
fof(f1223,axiom,
! [X0] :
( ! [X1] :
( r2_hidden(X1,X0)
=> v3_ordinal1(X1) )
=> v3_ordinal1(k3_tarski(X0)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+14.ax',t35_ordinal1) ).
fof(f1224,axiom,
! [X0] :
~ ( ! [X1] :
( v3_ordinal1(X1)
=> ~ r1_tarski(X0,X1) )
& ! [X1] :
( r2_hidden(X1,X0)
=> v3_ordinal1(X1) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+14.ax',t36_ordinal1) ).
fof(f1225,axiom,
! [X0] :
~ ! [X1] :
( r2_hidden(X1,X0)
<=> v3_ordinal1(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+14.ax',t37_ordinal1) ).
fof(f1226,axiom,
! [X0] :
~ ! [X1] :
( v3_ordinal1(X1)
=> r2_hidden(X1,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+14.ax',t38_ordinal1) ).
fof(f1231,axiom,
! [X0] :
( v3_ordinal1(X0)
=> ( v4_ordinal1(X0)
<=> ! [X1] :
( v3_ordinal1(X1)
=> ( r2_hidden(X1,X0)
=> r2_hidden(k1_ordinal1(X1),X0) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+14.ax',t41_ordinal1) ).
fof(f1232,axiom,
! [X0] :
( v3_ordinal1(X0)
=> ( ~ ( v4_ordinal1(X0)
& ? [X1] :
( X0 = k1_ordinal1(X1)
& v3_ordinal1(X1) ) )
& ~ ( ! [X1] :
( v3_ordinal1(X1)
=> X0 != k1_ordinal1(X1) )
& ~ v4_ordinal1(X0) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+14.ax',t42_ordinal1) ).
fof(f1257,axiom,
! [X0,X1,X2] :
( m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
=> v1_relat_1(X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+16.ax',cc1_relset_1) ).
fof(f1258,axiom,
! [X0,X1,X2] :
( m1_relset_1(X2,X0,X1)
<=> r1_tarski(X2,k2_zfmisc_1(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+16.ax',d1_relset_1) ).
fof(f1262,axiom,
! [X0,X1,X2,X3] :
( m2_relset_1(X3,X1,X2)
=> ( r1_tarski(X0,X3)
=> m2_relset_1(X0,X1,X2) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+16.ax',t4_relset_1) ).
fof(f1264,axiom,
! [X0,X1,X2,X3] :
( m2_relset_1(X3,X0,X1)
=> ~ ( ! [X4,X5] :
~ ( r2_hidden(X5,X1)
& r2_hidden(X4,X0)
& X2 = k4_tarski(X4,X5) )
& r2_hidden(X2,X3) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+16.ax',t6_relset_1) ).
fof(f1266,axiom,
! [X0,X1,X2,X3] :
( ( r2_hidden(X3,X1)
& r2_hidden(X2,X0) )
=> m2_relset_1(k1_tarski(k4_tarski(X2,X3)),X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+16.ax',t8_relset_1) ).
fof(f1267,axiom,
! [X0,X1] :
( v1_relat_1(X1)
=> ( r1_tarski(k1_relat_1(X1),X0)
=> m2_relset_1(X1,X0,k2_relat_1(X1)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+16.ax',t9_relset_1) ).
fof(f1268,axiom,
! [X0,X1] :
( v1_relat_1(X1)
=> ( r1_tarski(k2_relat_1(X1),X0)
=> m2_relset_1(X1,k1_relat_1(X1),X0) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+16.ax',t10_relset_1) ).
fof(f1269,axiom,
! [X0,X1,X2] :
( v1_relat_1(X2)
=> ( ( r1_tarski(k2_relat_1(X2),X1)
& r1_tarski(k1_relat_1(X2),X0) )
=> m2_relset_1(X2,X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+16.ax',t11_relset_1) ).
fof(f1270,axiom,
! [X0,X1,X2] :
( m2_relset_1(X2,X0,X1)
=> ( r1_tarski(k2_relat_1(X2),X1)
& r1_tarski(k1_relat_1(X2),X0) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+16.ax',t12_relset_1) ).
fof(f1271,axiom,
! [X0,X1,X2,X3] :
( m2_relset_1(X3,X0,X2)
=> ( r1_tarski(k1_relat_1(X3),X1)
=> m2_relset_1(X3,X1,X2) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+16.ax',t13_relset_1) ).
fof(f1272,axiom,
! [X0,X1,X2,X3] :
( m2_relset_1(X3,X2,X0)
=> ( r1_tarski(k2_relat_1(X3),X1)
=> m2_relset_1(X3,X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+16.ax',t14_relset_1) ).
fof(f1273,axiom,
! [X0,X1,X2,X3] :
( m2_relset_1(X3,X0,X2)
=> ( r1_tarski(X0,X1)
=> m2_relset_1(X3,X1,X2) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+16.ax',t15_relset_1) ).
fof(f1274,axiom,
! [X0,X1,X2,X3] :
( m2_relset_1(X3,X2,X0)
=> ( r1_tarski(X0,X1)
=> m2_relset_1(X3,X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+16.ax',t16_relset_1) ).
fof(f1275,axiom,
! [X0,X1,X2,X3,X4] :
( m2_relset_1(X4,X0,X2)
=> ( ( r1_tarski(X2,X3)
& r1_tarski(X0,X1) )
=> m2_relset_1(X4,X1,X3) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+16.ax',t17_relset_1) ).
fof(f1277,axiom,
! [X0,X1,X2] :
( m2_relset_1(X2,X0,X1)
=> r1_tarski(k3_relat_1(X2),k2_xboole_0(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+16.ax',t19_relset_1) ).
fof(f1283,axiom,
! [X0,X1] : m2_relset_1(k1_xboole_0,X0,X1),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+16.ax',t25_relset_1) ).
fof(f1284,axiom,
! [X0,X1,X2] :
( m2_relset_1(X2,X0,X1)
=> ( m2_relset_1(X2,k1_xboole_0,X1)
=> X2 = k1_xboole_0 ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+16.ax',t26_relset_1) ).
fof(f1285,axiom,
! [X0,X1,X2] :
( m2_relset_1(X2,X1,X0)
=> ( m2_relset_1(X2,X1,k1_xboole_0)
=> X2 = k1_xboole_0 ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+16.ax',t27_relset_1) ).
fof(f1286,axiom,
! [X0] : r1_tarski(k6_relat_1(X0),k2_zfmisc_1(X0,X0)),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+16.ax',t28_relset_1) ).
fof(f1303,axiom,
! [X0,X1] :
( m2_relset_1(X1,X0,X0)
=> ( k5_relat_1(k6_relat_1(X0),X1) = X1
& k5_relat_1(X1,k6_relat_1(X0)) = X1 ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+16.ax',t45_relset_1) ).
fof(f1304,axiom,
! [X0] :
( ~ v1_xboole_0(X0)
=> k6_relat_1(X0) != k1_xboole_0 ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+16.ax',t46_relset_1) ).
fof(f1315,axiom,
! [X0,X1] :
? [X2] : m1_relset_1(X2,X0,X1),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+16.ax',existence_m1_relset_1) ).
fof(f1316,axiom,
! [X0,X1,X2] :
( m2_relset_1(X2,X0,X1)
=> m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+16.ax',dt_m2_relset_1) ).
fof(f1317,axiom,
! [X0,X1] :
? [X2] : m2_relset_1(X2,X0,X1),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+16.ax',existence_m2_relset_1) ).
fof(f1318,axiom,
! [X0,X1,X2] :
( m2_relset_1(X2,X0,X1)
<=> m1_relset_1(X2,X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+16.ax',redefinition_m2_relset_1) ).
fof(f1346,axiom,
? [X0] :
( v1_xboole_0(X0)
& v2_funct_1(X0)
& v1_funct_1(X0)
& v1_relat_1(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+17.ax',rc1_partfun1) ).
fof(f1347,axiom,
! [X0,X1] :
? [X2] :
( v1_funct_1(X2)
& v1_relat_1(X2)
& m1_relset_1(X2,X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+17.ax',rc2_partfun1) ).
fof(f1352,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( r1_tarski(X3,k2_zfmisc_1(X4,X5))
& r1_tarski(X0,k2_zfmisc_1(X1,X2)) )
=> r1_tarski(k2_xboole_0(X0,X3),k2_zfmisc_1(k2_xboole_0(X1,X4),k2_xboole_0(X2,X5))) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+17.ax',t1_partfun1) ).
fof(f1353,axiom,
! [X0] :
( ( v1_funct_1(X0)
& v1_relat_1(X0) )
=> ! [X1] :
( ( v1_funct_1(X1)
& v1_relat_1(X1) )
=> ~ ( ! [X2] :
( ( v1_funct_1(X2)
& v1_relat_1(X2) )
=> k2_xboole_0(X0,X1) != X2 )
& ! [X2] :
( r2_hidden(X2,k3_xboole_0(k1_relat_1(X0),k1_relat_1(X1)))
=> k1_funct_1(X0,X2) = k1_funct_1(X1,X2) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+17.ax',t2_partfun1) ).
fof(f1354,axiom,
! [X0] :
( ( v1_funct_1(X0)
& v1_relat_1(X0) )
=> ! [X1] :
( ( v1_funct_1(X1)
& v1_relat_1(X1) )
=> ! [X2] :
( ( v1_funct_1(X2)
& v1_relat_1(X2) )
=> ( k2_xboole_0(X0,X1) = X2
=> ! [X3] :
( r2_hidden(X3,k3_xboole_0(k1_relat_1(X0),k1_relat_1(X1)))
=> k1_funct_1(X0,X3) = k1_funct_1(X1,X3) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+17.ax',t3_partfun1) ).
fof(f1375,axiom,
! [X0] :
( ( v1_funct_1(X0)
& v1_relat_1(X0) )
=> ( m2_relset_1(X0,k1_relat_1(X0),k2_relat_1(X0))
& v1_funct_1(X0) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+17.ax',t24_partfun1) ).
fof(f1381,axiom,
! [X0,X1,X2,X3] :
( ( m2_relset_1(X3,X0,X1)
& v1_funct_1(X3) )
=> ( r1_tarski(X0,X2)
=> ( m2_relset_1(X3,X2,X1)
& v1_funct_1(X3) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+17.ax',t30_partfun1) ).
fof(f1383,axiom,
! [X0,X1,X2,X3,X4] :
( ( m2_relset_1(X4,X0,X1)
& v1_funct_1(X4) )
=> ( ( r1_tarski(X1,X3)
& r1_tarski(X0,X2) )
=> ( m2_relset_1(X4,X2,X3)
& v1_funct_1(X4) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+17.ax',t32_partfun1) ).
fof(f1384,axiom,
! [X0,X1,X2] :
( ( v1_funct_1(X2)
& v1_relat_1(X2) )
=> ! [X3] :
( ( m2_relset_1(X3,X0,X1)
& v1_funct_1(X3) )
=> ( r1_tarski(X2,X3)
=> ( m2_relset_1(X2,X0,X1)
& v1_funct_1(X2) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+17.ax',t33_partfun1) ).
fof(f1387,axiom,
! [X0,X1,X2] :
( m2_relset_1(X2,X0,X1)
=> k5_relat_1(k6_relat_1(X0),X2) = X2 ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+17.ax',t36_partfun1) ).
fof(f1388,axiom,
! [X0,X1,X2] :
( m2_relset_1(X2,X0,X1)
=> k5_relat_1(X2,k6_relat_1(X1)) = X2 ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+17.ax',t37_partfun1) ).
fof(f1398,axiom,
! [X0,X1,X2] :
( ( v1_funct_1(X2)
& v1_relat_1(X2) )
=> ( m2_relset_1(k7_relat_1(k8_relat_1(X0,X2),X1),X1,X0)
& v1_funct_1(k7_relat_1(k8_relat_1(X0,X2),X1)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+17.ax',t47_partfun1) ).
fof(f1402,axiom,
! [X0,X1,X2] :
( ( m2_relset_1(X2,X0,X1)
& v1_funct_1(X2) )
=> k9_relat_1(X2,X0) = k2_relat_1(X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+17.ax',t51_partfun1) ).
fof(f1406,axiom,
! [X0,X1,X2] :
( ( v1_funct_1(X2)
& v1_relat_1(X2) )
=> ( k1_relat_1(X2) = k1_xboole_0
=> ( m2_relset_1(X2,X0,X1)
& v1_funct_1(X2) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+17.ax',t55_partfun1) ).
fof(f1407,axiom,
! [X0,X1] :
( m2_relset_1(k1_xboole_0,X0,X1)
& v1_funct_1(k1_xboole_0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+17.ax',t56_partfun1) ).
fof(f1408,axiom,
! [X0,X1] :
( ( m2_relset_1(X1,k1_xboole_0,X0)
& v1_funct_1(X1) )
=> X1 = k1_xboole_0 ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+17.ax',t57_partfun1) ).
fof(f1409,axiom,
! [X0,X1,X2] :
( ( m2_relset_1(X2,k1_xboole_0,X0)
& v1_funct_1(X2) )
=> ! [X3] :
( ( m2_relset_1(X3,k1_xboole_0,X1)
& v1_funct_1(X3) )
=> X2 = X3 ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+17.ax',t58_partfun1) ).
fof(f1410,axiom,
! [X0,X1] :
( ( m2_relset_1(X1,k1_xboole_0,X0)
& v1_funct_1(X1) )
=> v2_funct_1(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+17.ax',t59_partfun1) ).
fof(f1411,axiom,
! [X0,X1,X2] :
( ( m2_relset_1(X2,k1_xboole_0,X0)
& v1_funct_1(X2) )
=> k9_relat_1(X2,X1) = k1_xboole_0 ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+17.ax',t60_partfun1) ).
fof(f1412,axiom,
! [X0,X1,X2] :
( ( m2_relset_1(X2,k1_xboole_0,X0)
& v1_funct_1(X2) )
=> k10_relat_1(X2,X1) = k1_xboole_0 ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+17.ax',t61_partfun1) ).
fof(f1414,axiom,
! [X0,X1,X2] :
( ( v1_funct_1(X2)
& v1_relat_1(X2) )
=> ( k2_relat_1(X2) = k1_xboole_0
=> ( m2_relset_1(X2,X0,X1)
& v1_funct_1(X2) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+17.ax',t63_partfun1) ).
fof(f1415,axiom,
! [X0,X1] :
( ( m2_relset_1(X1,X0,k1_xboole_0)
& v1_funct_1(X1) )
=> X1 = k1_xboole_0 ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+17.ax',t64_partfun1) ).
fof(f1416,axiom,
! [X0,X1,X2] :
( ( m2_relset_1(X2,X0,k1_xboole_0)
& v1_funct_1(X2) )
=> ! [X3] :
( ( m2_relset_1(X3,X1,k1_xboole_0)
& v1_funct_1(X3) )
=> X2 = X3 ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+17.ax',t65_partfun1) ).
fof(f1417,axiom,
! [X0,X1] :
( ( m2_relset_1(X1,X0,k1_xboole_0)
& v1_funct_1(X1) )
=> v2_funct_1(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+17.ax',t66_partfun1) ).
fof(f1418,axiom,
! [X0,X1,X2] :
( ( m2_relset_1(X2,X0,k1_xboole_0)
& v1_funct_1(X2) )
=> k9_relat_1(X2,X1) = k1_xboole_0 ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+17.ax',t67_partfun1) ).
fof(f1419,axiom,
! [X0,X1,X2] :
( ( m2_relset_1(X2,X0,k1_xboole_0)
& v1_funct_1(X2) )
=> k10_relat_1(X2,X1) = k1_xboole_0 ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+17.ax',t68_partfun1) ).
fof(f1420,axiom,
! [X0,X1,X2] :
( ( m2_relset_1(X2,k1_tarski(X0),X1)
& v1_funct_1(X2) )
=> r1_tarski(k2_relat_1(X2),k1_tarski(k1_funct_1(X2,X0))) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+17.ax',t69_partfun1) ).
fof(f1421,axiom,
! [X0,X1,X2] :
( ( m2_relset_1(X2,k1_tarski(X0),X1)
& v1_funct_1(X2) )
=> v2_funct_1(X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+17.ax',t70_partfun1) ).
fof(f1422,axiom,
! [X0,X1,X2,X3] :
( ( m2_relset_1(X3,k1_tarski(X0),X1)
& v1_funct_1(X3) )
=> r1_tarski(k9_relat_1(X3,X2),k1_tarski(k1_funct_1(X3,X0))) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+17.ax',t71_partfun1) ).
fof(f1423,axiom,
! [X0,X1,X2,X3] :
( ( v1_funct_1(X3)
& v1_relat_1(X3) )
=> ( ( r2_hidden(k1_funct_1(X3,X0),X2)
& r2_hidden(X0,X1)
& k1_relat_1(X3) = k1_tarski(X0) )
=> ( m2_relset_1(X3,X1,X2)
& v1_funct_1(X3) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+17.ax',t72_partfun1) ).
fof(f1428,axiom,
! [X0] :
( ( v1_funct_1(X0)
& v1_relat_1(X0) )
=> ! [X1,X2] : k3_partfun1(X0,X1,X2) = k7_relat_1(k8_relat_1(X2,X0),X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+17.ax',d3_partfun1) ).
fof(f1450,axiom,
! [X0,X1,X2,X3] :
( ( v1_funct_1(X3)
& v1_relat_1(X3) )
=> k2_partfun1(X0,X1,k3_partfun1(X3,X0,X1),X2) = k3_partfun1(X3,k3_xboole_0(X0,X2),X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+17.ax',t96_partfun1) ).
fof(f1454,axiom,
! [X0,X1,X2] :
( ( m2_relset_1(X2,X0,X1)
& v1_funct_1(X2) )
=> ( ( X1 = k1_xboole_0
& v1_partfun1(X2,X0,X1) )
=> X0 = k1_xboole_0 ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+17.ax',t99_partfun1) ).
fof(f1467,axiom,
! [X0,X1] :
( ( m2_relset_1(X1,k1_xboole_0,X0)
& v1_funct_1(X1) )
=> v1_partfun1(X1,k1_xboole_0,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+17.ax',t112_partfun1) ).
fof(f1554,axiom,
! [X0,X1,X2,X3] :
( ( m1_relset_1(X2,X0,X1)
& v1_funct_1(X2) )
=> ( m2_relset_1(k2_partfun1(X0,X1,X2,X3),X0,X1)
& v1_funct_1(k2_partfun1(X0,X1,X2,X3)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+17.ax',dt_k2_partfun1) ).
fof(f1555,axiom,
! [X0,X1,X2,X3] :
( ( m1_relset_1(X2,X0,X1)
& v1_funct_1(X2) )
=> k2_partfun1(X0,X1,X2,X3) = k7_relat_1(X2,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+17.ax',redefinition_k2_partfun1) ).
fof(f1559,axiom,
! [X0] :
( m2_relset_1(k6_partfun1(X0),X0,X0)
& v1_partfun1(k6_partfun1(X0),X0,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+17.ax',dt_k6_partfun1) ).
fof(f1560,axiom,
! [X0] : k6_partfun1(X0) = k6_relat_1(X0),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+17.ax',redefinition_k6_partfun1) ).
fof(f1561,axiom,
! [X0] :
~ ( ! [X1] :
~ ( r1_xboole_0(X1,X0)
& r2_hidden(X1,X0) )
& X0 != k1_xboole_0 ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+18.ax',t1_mcart_1) ).
fof(f1562,axiom,
! [X0] :
~ ( ! [X1] :
~ ( ! [X2] :
( r2_hidden(X2,X1)
=> r1_xboole_0(X2,X0) )
& r2_hidden(X1,X0) )
& X0 != k1_xboole_0 ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+18.ax',t2_mcart_1) ).
fof(f1563,axiom,
! [X0] :
~ ( ! [X1] :
~ ( ! [X2,X3] :
( ( r2_hidden(X3,X1)
& r2_hidden(X2,X3) )
=> r1_xboole_0(X2,X0) )
& r2_hidden(X1,X0) )
& X0 != k1_xboole_0 ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+18.ax',t3_mcart_1) ).
fof(f1564,axiom,
! [X0] :
~ ( ! [X1] :
~ ( ! [X2,X3,X4] :
( ( r2_hidden(X4,X1)
& r2_hidden(X3,X4)
& r2_hidden(X2,X3) )
=> r1_xboole_0(X2,X0) )
& r2_hidden(X1,X0) )
& X0 != k1_xboole_0 ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+18.ax',t4_mcart_1) ).
fof(f1565,axiom,
! [X0] :
~ ( ! [X1] :
~ ( ! [X2,X3,X4,X5] :
( ( r2_hidden(X5,X1)
& r2_hidden(X4,X5)
& r2_hidden(X3,X4)
& r2_hidden(X2,X3) )
=> r1_xboole_0(X2,X0) )
& r2_hidden(X1,X0) )
& X0 != k1_xboole_0 ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+18.ax',t5_mcart_1) ).
fof(f1566,axiom,
! [X0] :
~ ( ! [X1] :
~ ( ! [X2,X3,X4,X5,X6] :
( ( r2_hidden(X6,X1)
& r2_hidden(X5,X6)
& r2_hidden(X4,X5)
& r2_hidden(X3,X4)
& r2_hidden(X2,X3) )
=> r1_xboole_0(X2,X0) )
& r2_hidden(X1,X0) )
& X0 != k1_xboole_0 ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+18.ax',t6_mcart_1) ).
fof(f1571,axiom,
! [X0] :
~ ( ! [X1] :
~ ( ! [X2,X3] :
~ ( X1 = k4_tarski(X2,X3)
& ( r2_hidden(X3,X0)
| r2_hidden(X2,X0) ) )
& r2_hidden(X1,X0) )
& X0 != k1_xboole_0 ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+18.ax',t9_mcart_1) ).
fof(f1587,axiom,
! [X0,X1,X2,X3] : k2_zfmisc_1(k2_tarski(X0,X1),k2_tarski(X2,X3)) = k2_enumset1(k4_tarski(X0,X2),k4_tarski(X0,X3),k4_tarski(X1,X2),k4_tarski(X1,X3)),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+18.ax',t25_mcart_1) ).
fof(f1690,axiom,
! [X0,X1] :
? [X2] :
( v1_funct_2(X2,X0,X1)
& v1_funct_1(X2)
& v1_relat_1(X2)
& m1_relset_1(X2,X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+20.ax',rc1_funct_2) ).
fof(f1691,axiom,
! [X0,X1,X2] :
( m1_relset_1(X2,X0,X1)
=> ( ( v1_partfun1(X2,X0,X1)
& v1_funct_1(X2) )
=> ( v1_funct_2(X2,X0,X1)
& v1_funct_1(X2) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+20.ax',cc1_funct_2) ).
fof(f1698,axiom,
! [X0,X1] :
( ~ v1_xboole_0(X1)
=> ! [X2] :
( m1_relset_1(X2,X0,X1)
=> ( ( v1_funct_2(X2,X0,X1)
& v1_funct_1(X2) )
=> ( v1_funct_2(X2,X0,X1)
& v1_partfun1(X2,X0,X1)
& v1_funct_1(X2) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+20.ax',cc5_funct_2) ).
fof(f1699,axiom,
! [X0,X1] :
( ( ~ v1_xboole_0(X1)
& ~ v1_xboole_0(X0) )
=> ! [X2] :
( m1_relset_1(X2,X0,X1)
=> ( ( v1_funct_2(X2,X0,X1)
& v1_funct_1(X2) )
=> ( v1_funct_2(X2,X0,X1)
& v1_partfun1(X2,X0,X1)
& ~ v1_xboole_0(X2)
& v1_funct_1(X2) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+20.ax',cc6_funct_2) ).
fof(f1703,axiom,
! [X0] :
( ( v1_funct_1(X0)
& v1_relat_1(X0) )
=> ( m2_relset_1(X0,k1_relat_1(X0),k2_relat_1(X0))
& v1_funct_2(X0,k1_relat_1(X0),k2_relat_1(X0))
& v1_funct_1(X0) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+20.ax',t3_funct_2) ).
fof(f1704,axiom,
! [X0,X1] :
( ( v1_funct_1(X1)
& v1_relat_1(X1) )
=> ( r1_tarski(k2_relat_1(X1),X0)
=> ( m2_relset_1(X1,k1_relat_1(X1),X0)
& v1_funct_2(X1,k1_relat_1(X1),X0)
& v1_funct_1(X1) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+20.ax',t4_funct_2) ).
fof(f1705,axiom,
! [X0,X1,X2] :
( ( v1_funct_1(X2)
& v1_relat_1(X2) )
=> ( ( ! [X3] :
( r2_hidden(X3,X0)
=> r2_hidden(k1_funct_1(X2,X3),X1) )
& k1_relat_1(X2) = X0 )
=> ( m2_relset_1(X2,X0,X1)
& v1_funct_2(X2,X0,X1)
& v1_funct_1(X2) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+20.ax',t5_funct_2) ).
fof(f1706,axiom,
! [X0,X1,X2,X3] :
( ( m2_relset_1(X3,X0,X1)
& v1_funct_2(X3,X0,X1)
& v1_funct_1(X3) )
=> ( r2_hidden(X2,X0)
=> ( r2_hidden(k1_funct_1(X3,X2),k2_relat_1(X3))
| X1 = k1_xboole_0 ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+20.ax',t6_funct_2) ).
fof(f1707,axiom,
! [X0,X1,X2,X3] :
( ( m2_relset_1(X3,X0,X1)
& v1_funct_2(X3,X0,X1)
& v1_funct_1(X3) )
=> ( r2_hidden(X2,X0)
=> ( r2_hidden(k1_funct_1(X3,X2),X1)
| X1 = k1_xboole_0 ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+20.ax',t7_funct_2) ).
fof(f1708,axiom,
! [X0,X1,X2,X3] :
( ( m2_relset_1(X3,X0,X1)
& v1_funct_2(X3,X0,X1)
& v1_funct_1(X3) )
=> ( r1_tarski(k2_relat_1(X3),X2)
=> ( ( m2_relset_1(X3,X0,X2)
& v1_funct_2(X3,X0,X2)
& v1_funct_1(X3) )
| ( X0 != k1_xboole_0
& X1 = k1_xboole_0 ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+20.ax',t8_funct_2) ).
fof(f1709,axiom,
! [X0,X1,X2,X3] :
( ( m2_relset_1(X3,X0,X1)
& v1_funct_2(X3,X0,X1)
& v1_funct_1(X3) )
=> ( r1_tarski(X1,X2)
=> ( ( m2_relset_1(X3,X0,X2)
& v1_funct_2(X3,X0,X2)
& v1_funct_1(X3) )
| ( X0 != k1_xboole_0
& X1 = k1_xboole_0 ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+20.ax',t9_funct_2) ).
fof(f1717,axiom,
! [X0,X1,X2] :
( ( m2_relset_1(X2,X0,X1)
& v1_funct_2(X2,X0,X1)
& v1_funct_1(X2) )
=> ( ! [X3] :
~ ( ! [X4] :
~ ( X3 = k1_funct_1(X2,X4)
& r2_hidden(X4,X0) )
& r2_hidden(X3,X1) )
=> ( k2_relat_1(X2) = X1
| X1 = k1_xboole_0 ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+20.ax',t16_funct_2) ).
fof(f1718,axiom,
! [X0,X1,X2,X3] :
( ( m2_relset_1(X3,X0,X1)
& v1_funct_2(X3,X0,X1)
& v1_funct_1(X3) )
=> ~ ( ! [X4] :
~ ( k1_funct_1(X3,X4) = X2
& r2_hidden(X4,X0) )
& k2_relat_1(X3) = X1
& r2_hidden(X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+20.ax',t17_funct_2) ).
fof(f1719,axiom,
! [X0,X1,X2] :
( ( m2_relset_1(X2,X0,X1)
& v1_funct_2(X2,X0,X1)
& v1_funct_1(X2) )
=> ! [X3] :
( ( m2_relset_1(X3,X0,X1)
& v1_funct_2(X3,X0,X1)
& v1_funct_1(X3) )
=> ( ! [X4] :
( r2_hidden(X4,X0)
=> k1_funct_1(X2,X4) = k1_funct_1(X3,X4) )
=> X2 = X3 ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+20.ax',t18_funct_2) ).
fof(f1722,axiom,
! [X0,X1,X2,X3] :
( ( m2_relset_1(X3,X0,X1)
& v1_funct_2(X3,X0,X1)
& v1_funct_1(X3) )
=> ! [X4] :
( ( v1_funct_1(X4)
& v1_relat_1(X4) )
=> ( r2_hidden(X2,X0)
=> ( k1_funct_1(k5_relat_1(X3,X4),X2) = k1_funct_1(X4,k1_funct_1(X3,X2))
| X1 = k1_xboole_0 ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+20.ax',t21_funct_2) ).
fof(f1726,axiom,
! [X0,X1,X2] :
( ( m2_relset_1(X2,X0,X1)
& v1_funct_2(X2,X0,X1)
& v1_funct_1(X2) )
=> ( ( X1 = k1_xboole_0
=> X0 = k1_xboole_0 )
=> ( v2_funct_1(X2)
<=> ! [X3,X4] :
( ( k1_funct_1(X2,X3) = k1_funct_1(X2,X4)
& r2_hidden(X4,X0)
& r2_hidden(X3,X0) )
=> X3 = X4 ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+20.ax',t25_funct_2) ).
fof(f1736,axiom,
! [X0,X1,X2] :
( ( m2_relset_1(X2,X0,X1)
& v1_funct_2(X2,X0,X1)
& v1_funct_1(X2) )
=> ( ( v2_funct_1(X2)
& k2_relat_1(X2) = X1 )
=> ( ( k5_relat_1(k2_funct_1(X2),X2) = k6_partfun1(X1)
& k5_relat_1(X2,k2_funct_1(X2)) = k6_partfun1(X0) )
| X1 = k1_xboole_0 ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+20.ax',t35_funct_2) ).
fof(f1739,axiom,
! [X0,X1,X2,X3] :
( ( m2_relset_1(X3,X0,X1)
& v1_funct_2(X3,X0,X1)
& v1_funct_1(X3) )
=> ( r1_tarski(X2,X0)
=> ( ( m2_relset_1(k2_partfun1(X0,X1,X3,X2),X2,X1)
& v1_funct_2(k2_partfun1(X0,X1,X3,X2),X2,X1)
& v1_funct_1(k2_partfun1(X0,X1,X3,X2)) )
| ( X0 != k1_xboole_0
& X1 = k1_xboole_0 ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+20.ax',t38_funct_2) ).
fof(f1741,axiom,
! [X0,X1,X2,X3] :
( ( m2_relset_1(X3,X0,X1)
& v1_funct_2(X3,X0,X1)
& v1_funct_1(X3) )
=> ( r1_tarski(X0,X2)
=> k2_partfun1(X0,X1,X3,X2) = X3 ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+20.ax',t40_funct_2) ).
fof(f1744,axiom,
! [X0,X1,X2,X3] :
( ( m2_relset_1(X3,X0,X1)
& v1_funct_2(X3,X0,X1)
& v1_funct_1(X3) )
=> ( X1 != k1_xboole_0
=> ! [X4] :
( ? [X5] :
( X4 = k1_funct_1(X3,X5)
& r2_hidden(X5,X2)
& r2_hidden(X5,X0) )
=> r2_hidden(X4,k9_relat_1(X3,X2)) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+20.ax',t43_funct_2) ).
fof(f1745,axiom,
! [X0,X1,X2,X3] :
( ( m2_relset_1(X3,X0,X1)
& v1_funct_2(X3,X0,X1)
& v1_funct_1(X3) )
=> r1_tarski(k9_relat_1(X3,X2),X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+20.ax',t44_funct_2) ).
fof(f1746,axiom,
! [X0,X1,X2] :
( ( m2_relset_1(X2,X0,X1)
& v1_funct_2(X2,X0,X1)
& v1_funct_1(X2) )
=> ( ( X1 = k1_xboole_0
=> X0 = k1_xboole_0 )
=> k2_funct_2(X0,X1,X2,X0) = k2_relat_1(X2) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+20.ax',t45_funct_2) ).
fof(f1747,axiom,
! [X0,X1,X2,X3] :
( ( m2_relset_1(X3,X0,X1)
& v1_funct_2(X3,X0,X1)
& v1_funct_1(X3) )
=> ( X1 != k1_xboole_0
=> ! [X4] :
( r2_hidden(X4,k10_relat_1(X3,X2))
<=> ( r2_hidden(k1_funct_1(X3,X4),X2)
& r2_hidden(X4,X0) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+20.ax',t46_funct_2) ).
fof(f1748,axiom,
! [X0,X1,X2,X3] :
( ( m2_relset_1(X3,X0,X1)
& v1_funct_1(X3) )
=> r1_tarski(k10_relat_1(X3,X2),X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+20.ax',t47_funct_2) ).
fof(f1756,axiom,
! [X0,X1] :
( ( v1_funct_1(X1)
& v1_relat_1(X1) )
=> ( k1_relat_1(X1) = k1_xboole_0
=> ( m2_relset_1(X1,k1_xboole_0,X0)
& v1_funct_2(X1,k1_xboole_0,X0)
& v1_funct_1(X1) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+20.ax',t55_funct_2) ).
fof(f1760,axiom,
! [X0,X1,X2] :
( ( m2_relset_1(X2,k1_xboole_0,X0)
& v1_funct_2(X2,k1_xboole_0,X0)
& v1_funct_1(X2) )
=> k2_funct_2(k1_xboole_0,X0,X2,X1) = k1_xboole_0 ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+20.ax',t59_funct_2) ).
fof(f1762,axiom,
! [X0,X1,X2] :
( ( m2_relset_1(X2,k1_tarski(X0),X1)
& v1_funct_2(X2,k1_tarski(X0),X1)
& v1_funct_1(X2) )
=> ( X1 != k1_xboole_0
=> r2_hidden(k1_funct_1(X2,X0),X1) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+20.ax',t61_funct_2) ).
fof(f1763,axiom,
! [X0,X1,X2] :
( ( m2_relset_1(X2,k1_tarski(X0),X1)
& v1_funct_2(X2,k1_tarski(X0),X1)
& v1_funct_1(X2) )
=> ( X1 != k1_xboole_0
=> k2_relat_1(X2) = k1_tarski(k1_funct_1(X2,X0)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+20.ax',t62_funct_2) ).
fof(f1765,axiom,
! [X0,X1,X2,X3] :
( ( m2_relset_1(X3,k1_tarski(X0),X1)
& v1_funct_2(X3,k1_tarski(X0),X1)
& v1_funct_1(X3) )
=> ( X1 != k1_xboole_0
=> r1_tarski(k2_funct_2(k1_tarski(X0),X1,X3,X2),k1_tarski(k1_funct_1(X3,X0))) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+20.ax',t64_funct_2) ).
fof(f1766,axiom,
! [X0,X1,X2,X3] :
( ( m2_relset_1(X3,X0,k1_tarski(X1))
& v1_funct_2(X3,X0,k1_tarski(X1))
& v1_funct_1(X3) )
=> ( r2_hidden(X2,X0)
=> k1_funct_1(X3,X2) = X1 ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+20.ax',t65_funct_2) ).
fof(f1767,axiom,
! [X0,X1,X2] :
( ( m2_relset_1(X2,X0,k1_tarski(X1))
& v1_funct_2(X2,X0,k1_tarski(X1))
& v1_funct_1(X2) )
=> ! [X3] :
( ( m2_relset_1(X3,X0,k1_tarski(X1))
& v1_funct_2(X3,X0,k1_tarski(X1))
& v1_funct_1(X3) )
=> X2 = X3 ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+20.ax',t66_funct_2) ).
fof(f1771,axiom,
! [X0,X1,X2] :
( ( m2_relset_1(X2,X0,X0)
& v1_funct_2(X2,X0,X0)
& v1_funct_1(X2) )
=> ! [X3] :
( ( v1_funct_1(X3)
& v1_relat_1(X3) )
=> ( r2_hidden(X1,X0)
=> k1_funct_1(k5_relat_1(X2,X3),X1) = k1_funct_1(X3,k1_funct_1(X2,X1)) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+20.ax',t70_funct_2) ).
fof(f1778,axiom,
! [X0,X1] :
( ( m2_relset_1(X1,X0,X0)
& v1_funct_2(X1,X0,X0)
& v1_funct_1(X1) )
=> ( v2_funct_1(X1)
<=> ! [X2,X3] :
( ( k1_funct_1(X1,X2) = k1_funct_1(X1,X3)
& r2_hidden(X3,X0)
& r2_hidden(X2,X0) )
=> X2 = X3 ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+20.ax',t77_funct_2) ).
fof(f1780,axiom,
! [X0,X1] :
( ( m2_relset_1(X1,X0,X0)
& v1_funct_2(X1,X0,X0)
& v1_funct_1(X1) )
=> k2_funct_2(X0,X0,X1,X0) = k2_relat_1(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+20.ax',t79_funct_2) ).
fof(f1816,axiom,
! [X0,X1,X2] :
( ( m2_relset_1(X2,X0,X1)
& v1_funct_2(X2,X0,X1)
& v1_funct_1(X2) )
=> ! [X3] :
( ( m2_relset_1(X3,X0,X1)
& v1_funct_2(X3,X0,X1)
& v1_funct_1(X3) )
=> ( ! [X4] :
( m1_subset_1(X4,X0)
=> k1_funct_1(X2,X4) = k1_funct_1(X3,X4) )
=> X2 = X3 ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+20.ax',t113_funct_2) ).
fof(f1818,axiom,
! [X0,X1,X2,X3] :
( ( m2_relset_1(X3,X0,X1)
& v1_funct_2(X3,X0,X1)
& v1_funct_1(X3) )
=> ! [X4] :
~ ( ! [X5] :
~ ( X4 = k1_funct_1(X3,X5)
& r2_hidden(X5,X2)
& r2_hidden(X5,X0) )
& r2_hidden(X4,k2_funct_2(X0,X1,X3,X2)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+20.ax',t115_funct_2) ).
fof(f1819,axiom,
! [X0,X1,X2,X3] :
( ( m2_relset_1(X3,X0,X1)
& v1_funct_2(X3,X0,X1)
& v1_funct_1(X3) )
=> ! [X4] :
~ ( ! [X5] :
( m1_subset_1(X5,X0)
=> ~ ( X4 = k1_funct_1(X3,X5)
& r2_hidden(X5,X2) ) )
& r2_hidden(X4,k2_funct_2(X0,X1,X3,X2)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+20.ax',t116_funct_2) ).
fof(f1821,axiom,
! [X0,X1,X2,X3] :
( ( m2_relset_1(X3,k2_zfmisc_1(X0,X1),X2)
& v1_funct_2(X3,k2_zfmisc_1(X0,X1),X2)
& v1_funct_1(X3) )
=> ! [X4] :
( ( m2_relset_1(X4,k2_zfmisc_1(X0,X1),X2)
& v1_funct_2(X4,k2_zfmisc_1(X0,X1),X2)
& v1_funct_1(X4) )
=> ( ! [X5,X6] :
( ( r2_hidden(X6,X1)
& r2_hidden(X5,X0) )
=> k1_funct_1(X3,k4_tarski(X5,X6)) = k1_funct_1(X4,k4_tarski(X5,X6)) )
=> X3 = X4 ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+20.ax',t118_funct_2) ).
fof(f1822,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( m2_relset_1(X5,k2_zfmisc_1(X0,X1),X2)
& v1_funct_2(X5,k2_zfmisc_1(X0,X1),X2)
& v1_funct_1(X5) )
=> ( ( r2_hidden(X4,X1)
& r2_hidden(X3,X0) )
=> ( r2_hidden(k1_funct_1(X5,k4_tarski(X3,X4)),X2)
| X2 = k1_xboole_0 ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+20.ax',t119_funct_2) ).
fof(f1823,axiom,
! [X0,X1,X2,X3] :
( ( m2_relset_1(X3,k2_zfmisc_1(X0,X1),X2)
& v1_funct_2(X3,k2_zfmisc_1(X0,X1),X2)
& v1_funct_1(X3) )
=> ! [X4] :
( ( m2_relset_1(X4,k2_zfmisc_1(X0,X1),X2)
& v1_funct_2(X4,k2_zfmisc_1(X0,X1),X2)
& v1_funct_1(X4) )
=> ( ! [X5] :
( m1_subset_1(X5,X0)
=> ! [X6] :
( m1_subset_1(X6,X1)
=> k1_funct_1(X3,k4_tarski(X5,X6)) = k1_funct_1(X4,k4_tarski(X5,X6)) ) )
=> X3 = X4 ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+20.ax',t120_funct_2) ).
fof(f1889,axiom,
! [X0,X1,X2,X3] :
( ( m1_relset_1(X2,X0,X1)
& v1_funct_2(X2,X0,X1)
& v1_funct_1(X2) )
=> m1_subset_1(k2_funct_2(X0,X1,X2,X3),k1_zfmisc_1(X1)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+20.ax',dt_k2_funct_2) ).
fof(f1890,axiom,
! [X0,X1,X2,X3] :
( ( m1_relset_1(X2,X0,X1)
& v1_funct_2(X2,X0,X1)
& v1_funct_1(X2) )
=> k2_funct_2(X0,X1,X2,X3) = k9_relat_1(X2,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+20.ax',redefinition_k2_funct_2) ).
fof(f1899,axiom,
! [X0,X1,X2,X3,X4] :
( ( m1_relset_1(X4,X1,X2)
& v1_funct_2(X4,X1,X2)
& v1_funct_1(X4)
& m1_relset_1(X3,X0,X1)
& v1_funct_2(X3,X0,X1)
& v1_funct_1(X3)
& ~ v1_xboole_0(X1) )
=> ( m2_relset_1(k7_funct_2(X0,X1,X2,X3,X4),X0,X2)
& v1_funct_2(k7_funct_2(X0,X1,X2,X3,X4),X0,X2)
& v1_funct_1(k7_funct_2(X0,X1,X2,X3,X4)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+20.ax',dt_k7_funct_2) ).
fof(f1900,axiom,
! [X0,X1,X2,X3,X4] :
( ( m1_relset_1(X4,X1,X2)
& v1_funct_2(X4,X1,X2)
& v1_funct_1(X4)
& m1_relset_1(X3,X0,X1)
& v1_funct_2(X3,X0,X1)
& v1_funct_1(X3)
& ~ v1_xboole_0(X1) )
=> k7_funct_2(X0,X1,X2,X3,X4) = k5_relat_1(X3,X4) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+20.ax',redefinition_k7_funct_2) ).
fof(f1901,axiom,
! [X0,X1,X2,X3] :
( ( m1_subset_1(X3,X0)
& m1_relset_1(X2,X0,X1)
& v1_funct_2(X2,X0,X1)
& v1_funct_1(X2)
& ~ v1_xboole_0(X0) )
=> m1_subset_1(k8_funct_2(X0,X1,X2,X3),X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+20.ax',dt_k8_funct_2) ).
fof(f1902,axiom,
! [X0,X1,X2,X3] :
( ( m1_subset_1(X3,X0)
& m1_relset_1(X2,X0,X1)
& v1_funct_2(X2,X0,X1)
& v1_funct_1(X2)
& ~ v1_xboole_0(X0) )
=> k8_funct_2(X0,X1,X2,X3) = k1_funct_1(X2,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+20.ax',redefinition_k8_funct_2) ).
fof(f1904,axiom,
! [X0,X1] :
( r1_tarski(X0,X1)
=> k6_relat_1(X0) = k7_relat_1(k6_relat_1(X1),X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+21.ax',t1_funct_3) ).
fof(f1905,axiom,
! [X0,X1] :
( ( v1_funct_1(X1)
& v1_relat_1(X1) )
=> ! [X2] :
( ( v1_funct_1(X2)
& v1_relat_1(X2) )
=> ( r1_tarski(X0,k1_relat_1(k5_relat_1(X1,X2)))
=> r1_tarski(k9_relat_1(X1,X0),k1_relat_1(X2)) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+21.ax',t2_funct_3) ).
fof(f1906,axiom,
! [X0,X1] :
( ( v1_funct_1(X1)
& v1_relat_1(X1) )
=> ! [X2] :
( ( v1_funct_1(X2)
& v1_relat_1(X2) )
=> ( ( r1_tarski(k9_relat_1(X1,X0),k1_relat_1(X2))
& r1_tarski(X0,k1_relat_1(X1)) )
=> r1_tarski(X0,k1_relat_1(k5_relat_1(X1,X2))) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+21.ax',t3_funct_3) ).
fof(f1907,axiom,
! [X0,X1] :
( ( v1_funct_1(X1)
& v1_relat_1(X1) )
=> ! [X2] :
( ( v1_funct_1(X2)
& v1_relat_1(X2) )
=> ( ( v2_funct_1(X2)
& r1_tarski(X0,k2_relat_1(k5_relat_1(X1,X2))) )
=> r1_tarski(k10_relat_1(X2,X0),k2_relat_1(X1)) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+21.ax',t4_funct_3) ).
fof(f1908,axiom,
! [X0,X1] :
( ( v1_funct_1(X1)
& v1_relat_1(X1) )
=> ! [X2] :
( ( v1_funct_1(X2)
& v1_relat_1(X2) )
=> ( ( r1_tarski(k10_relat_1(X2,X0),k2_relat_1(X1))
& r1_tarski(X0,k2_relat_1(X2)) )
=> r1_tarski(X0,k2_relat_1(k5_relat_1(X1,X2))) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+21.ax',t5_funct_3) ).
fof(f1909,axiom,
! [X0,X1,X2] :
( ( v1_funct_1(X2)
& v1_relat_1(X2) )
=> ! [X3] :
( ( v1_funct_1(X3)
& v1_relat_1(X3) )
=> ( ( ! [X4,X5] :
( ( r2_hidden(X5,X1)
& r2_hidden(X4,X0) )
=> k1_funct_1(X2,k4_tarski(X4,X5)) = k1_funct_1(X3,k4_tarski(X4,X5)) )
& k1_relat_1(X3) = k2_zfmisc_1(X0,X1)
& k1_relat_1(X2) = k2_zfmisc_1(X0,X1) )
=> X2 = X3 ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+21.ax',t6_funct_3) ).
fof(f1921,axiom,
! [X0,X1,X2] :
( ~ v1_xboole_0(X2)
=> ! [X3] :
( ( m2_relset_1(X3,X0,X2)
& v1_funct_2(X3,X0,X2)
& v1_funct_1(X3) )
=> ( r1_tarski(X1,k1_zfmisc_1(X0))
=> k2_funct_2(X0,X2,X3,k3_tarski(X1)) = k3_tarski(k9_relat_1(k1_funct_3(X3),X1)) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+21.ax',t17_funct_3) ).
fof(f2039,axiom,
! [X0] :
( m1_relset_1(X0,k2_zfmisc_1(k1_xboole_0,k1_xboole_0),k1_xboole_0)
=> ( ( v1_funct_2(X0,k2_zfmisc_1(k1_xboole_0,k1_xboole_0),k1_xboole_0)
& v1_funct_1(X0) )
=> ( v2_binop_1(X0,k1_xboole_0)
& v1_binop_1(X0,k1_xboole_0)
& v1_funct_2(X0,k2_zfmisc_1(k1_xboole_0,k1_xboole_0),k1_xboole_0)
& v1_xboole_0(X0)
& v1_funct_1(X0) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+23.ax',cc1_binop_1) ).
fof(f2040,axiom,
! [X0] :
( ( v1_funct_1(X0)
& v1_relat_1(X0) )
=> ! [X1,X2] : k1_binop_1(X0,X1,X2) = k1_funct_1(X0,k4_tarski(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+23.ax',d1_binop_1) ).
fof(f2042,axiom,
! [X0] :
( ~ v1_xboole_0(X0)
=> ! [X1] :
( ~ v1_xboole_0(X1)
=> ! [X2] :
( ~ v1_xboole_0(X2)
=> ! [X3] :
( ( m2_relset_1(X3,k2_zfmisc_1(X0,X1),X2)
& v1_funct_2(X3,k2_zfmisc_1(X0,X1),X2)
& v1_funct_1(X3) )
=> ! [X4] :
( ( m2_relset_1(X4,k2_zfmisc_1(X0,X1),X2)
& v1_funct_2(X4,k2_zfmisc_1(X0,X1),X2)
& v1_funct_1(X4) )
=> ( ! [X5] :
( m1_subset_1(X5,X0)
=> ! [X6] :
( m1_subset_1(X6,X1)
=> k2_binop_1(X0,X1,X2,X3,X5,X6) = k2_binop_1(X0,X1,X2,X4,X5,X6) ) )
=> X3 = X4 ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+23.ax',t2_binop_1) ).
fof(f2043,axiom,
! [X0,X1] :
( ( m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
& v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
& v1_funct_1(X1) )
=> ( v1_binop_1(X1,X0)
<=> ! [X2] :
( m1_subset_1(X2,X0)
=> ! [X3] :
( m1_subset_1(X3,X0)
=> k1_binop_1(X1,X2,X3) = k1_binop_1(X1,X3,X2) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+23.ax',d2_binop_1) ).
fof(f2044,axiom,
! [X0,X1] :
( ( m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
& v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
& v1_funct_1(X1) )
=> ( v2_binop_1(X1,X0)
<=> ! [X2] :
( m1_subset_1(X2,X0)
=> ! [X3] :
( m1_subset_1(X3,X0)
=> ! [X4] :
( m1_subset_1(X4,X0)
=> k1_binop_1(X1,X2,k1_binop_1(X1,X3,X4)) = k1_binop_1(X1,k1_binop_1(X1,X2,X3),X4) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+23.ax',d3_binop_1) ).
fof(f2045,axiom,
! [X0,X1] :
( ( m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
& v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
& v1_funct_1(X1) )
=> ( v3_binop_1(X1,X0)
<=> ! [X2] :
( m1_subset_1(X2,X0)
=> k1_binop_1(X1,X2,X2) = X2 ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+23.ax',d4_binop_1) ).
fof(f2046,axiom,
! [X0,X1] :
( m1_subset_1(X1,X0)
=> ! [X2] :
( ( m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
& v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
& v1_funct_1(X2) )
=> ( r1_binop_1(X0,X1,X2)
<=> ! [X3] :
( m1_subset_1(X3,X0)
=> k1_binop_1(X2,X1,X3) = X3 ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+23.ax',d5_binop_1) ).
fof(f2047,axiom,
! [X0,X1] :
( m1_subset_1(X1,X0)
=> ! [X2] :
( ( m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
& v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
& v1_funct_1(X2) )
=> ( r2_binop_1(X0,X1,X2)
<=> ! [X3] :
( m1_subset_1(X3,X0)
=> k1_binop_1(X2,X3,X1) = X3 ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+23.ax',d6_binop_1) ).
fof(f2048,axiom,
! [X0,X1] :
( m1_subset_1(X1,X0)
=> ! [X2] :
( ( m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
& v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
& v1_funct_1(X2) )
=> ( r3_binop_1(X0,X1,X2)
<=> ( r2_binop_1(X0,X1,X2)
& r1_binop_1(X0,X1,X2) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+23.ax',d7_binop_1) ).
fof(f2057,axiom,
! [X0,X1] :
( ( m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
& v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
& v1_funct_1(X1) )
=> ! [X2] :
( m1_subset_1(X2,X0)
=> ( r3_binop_1(X0,X2,X1)
<=> ! [X3] :
( m1_subset_1(X3,X0)
=> ( k1_binop_1(X1,X3,X2) = X3
& k1_binop_1(X1,X2,X3) = X3 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+23.ax',t11_binop_1) ).
fof(f2058,axiom,
! [X0,X1] :
( ( m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
& v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
& v1_funct_1(X1) )
=> ! [X2] :
( m1_subset_1(X2,X0)
=> ( v1_binop_1(X1,X0)
=> ( r3_binop_1(X0,X2,X1)
<=> ! [X3] :
( m1_subset_1(X3,X0)
=> k1_binop_1(X1,X2,X3) = X3 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+23.ax',t12_binop_1) ).
fof(f2059,axiom,
! [X0,X1] :
( ( m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
& v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
& v1_funct_1(X1) )
=> ! [X2] :
( m1_subset_1(X2,X0)
=> ( v1_binop_1(X1,X0)
=> ( r3_binop_1(X0,X2,X1)
<=> ! [X3] :
( m1_subset_1(X3,X0)
=> k1_binop_1(X1,X3,X2) = X3 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+23.ax',t13_binop_1) ).
fof(f2060,axiom,
! [X0,X1] :
( ( m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
& v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
& v1_funct_1(X1) )
=> ! [X2] :
( m1_subset_1(X2,X0)
=> ( v1_binop_1(X1,X0)
=> ( r3_binop_1(X0,X2,X1)
<=> r1_binop_1(X0,X2,X1) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+23.ax',t14_binop_1) ).
fof(f2061,axiom,
! [X0,X1] :
( ( m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
& v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
& v1_funct_1(X1) )
=> ! [X2] :
( m1_subset_1(X2,X0)
=> ( v1_binop_1(X1,X0)
=> ( r3_binop_1(X0,X2,X1)
<=> r2_binop_1(X0,X2,X1) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+23.ax',t15_binop_1) ).
fof(f2062,axiom,
! [X0,X1] :
( ( m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
& v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
& v1_funct_1(X1) )
=> ! [X2] :
( m1_subset_1(X2,X0)
=> ( v1_binop_1(X1,X0)
=> ( r1_binop_1(X0,X2,X1)
<=> r2_binop_1(X0,X2,X1) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+23.ax',t16_binop_1) ).
fof(f2063,axiom,
! [X0,X1] :
( ( m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
& v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
& v1_funct_1(X1) )
=> ! [X2] :
( m1_subset_1(X2,X0)
=> ! [X3] :
( m1_subset_1(X3,X0)
=> ( ( r2_binop_1(X0,X3,X1)
& r1_binop_1(X0,X2,X1) )
=> X2 = X3 ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+23.ax',t17_binop_1) ).
fof(f2064,axiom,
! [X0,X1] :
( ( m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
& v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
& v1_funct_1(X1) )
=> ! [X2] :
( m1_subset_1(X2,X0)
=> ! [X3] :
( m1_subset_1(X3,X0)
=> ( ( r3_binop_1(X0,X3,X1)
& r3_binop_1(X0,X2,X1) )
=> X2 = X3 ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+23.ax',t18_binop_1) ).
fof(f2065,axiom,
! [X0,X1] :
( ( m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
& v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
& v1_funct_1(X1) )
=> ( ? [X2] :
( r3_binop_1(X0,X2,X1)
& m1_subset_1(X2,X0) )
=> ! [X2] :
( m1_subset_1(X2,X0)
=> ( X2 = k3_binop_1(X0,X1)
<=> r3_binop_1(X0,X2,X1) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+23.ax',d8_binop_1) ).
fof(f2073,axiom,
! [X0,X1] :
( ( m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
& v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
& v1_funct_1(X1) )
=> ! [X2] :
( ( m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
& v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
& v1_funct_1(X2) )
=> ( r6_binop_1(X0,X1,X2)
<=> ! [X3] :
( m1_subset_1(X3,X0)
=> ! [X4] :
( m1_subset_1(X4,X0)
=> ! [X5] :
( m1_subset_1(X5,X0)
=> ( k1_binop_1(X1,k1_binop_1(X2,X3,X4),X5) = k1_binop_1(X2,k1_binop_1(X1,X3,X5),k1_binop_1(X1,X4,X5))
& k1_binop_1(X1,X3,k1_binop_1(X2,X4,X5)) = k1_binop_1(X2,k1_binop_1(X1,X3,X4),k1_binop_1(X1,X3,X5)) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+23.ax',t23_binop_1) ).
fof(f2074,axiom,
! [X0] :
( ~ v1_xboole_0(X0)
=> ! [X1] :
( ( m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
& v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
& v1_funct_1(X1) )
=> ! [X2] :
( ( m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
& v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
& v1_funct_1(X2) )
=> ( v1_binop_1(X2,X0)
=> ( r6_binop_1(X0,X2,X1)
<=> ! [X3] :
( m1_subset_1(X3,X0)
=> ! [X4] :
( m1_subset_1(X4,X0)
=> ! [X5] :
( m1_subset_1(X5,X0)
=> k2_binop_1(X0,X0,X0,X2,X3,k2_binop_1(X0,X0,X0,X1,X4,X5)) = k2_binop_1(X0,X0,X0,X1,k2_binop_1(X0,X0,X0,X2,X3,X4),k2_binop_1(X0,X0,X0,X2,X3,X5)) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+23.ax',t24_binop_1) ).
fof(f2075,axiom,
! [X0] :
( ~ v1_xboole_0(X0)
=> ! [X1] :
( ( m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
& v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
& v1_funct_1(X1) )
=> ! [X2] :
( ( m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
& v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
& v1_funct_1(X2) )
=> ( v1_binop_1(X2,X0)
=> ( r6_binop_1(X0,X2,X1)
<=> ! [X3] :
( m1_subset_1(X3,X0)
=> ! [X4] :
( m1_subset_1(X4,X0)
=> ! [X5] :
( m1_subset_1(X5,X0)
=> k2_binop_1(X0,X0,X0,X2,k2_binop_1(X0,X0,X0,X1,X3,X4),X5) = k2_binop_1(X0,X0,X0,X1,k2_binop_1(X0,X0,X0,X2,X3,X5),k2_binop_1(X0,X0,X0,X2,X4,X5)) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+23.ax',t25_binop_1) ).
fof(f2080,axiom,
! [X0] :
( ~ v1_xboole_0(X0)
=> ! [X1] :
( ( m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
& v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
& v1_funct_1(X1) )
=> ( v1_binop_1(X1,X0)
<=> ! [X2] :
( m1_subset_1(X2,X0)
=> ! [X3] :
( m1_subset_1(X3,X0)
=> k2_binop_1(X0,X0,X0,X1,X2,X3) = k2_binop_1(X0,X0,X0,X1,X3,X2) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+23.ax',d13_binop_1) ).
fof(f2081,axiom,
! [X0] :
( ~ v1_xboole_0(X0)
=> ! [X1] :
( ( m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
& v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
& v1_funct_1(X1) )
=> ( v2_binop_1(X1,X0)
<=> ! [X2] :
( m1_subset_1(X2,X0)
=> ! [X3] :
( m1_subset_1(X3,X0)
=> ! [X4] :
( m1_subset_1(X4,X0)
=> k2_binop_1(X0,X0,X0,X1,X2,k2_binop_1(X0,X0,X0,X1,X3,X4)) = k2_binop_1(X0,X0,X0,X1,k2_binop_1(X0,X0,X0,X1,X2,X3),X4) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+23.ax',d14_binop_1) ).
fof(f2082,axiom,
! [X0] :
( ~ v1_xboole_0(X0)
=> ! [X1] :
( ( m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
& v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
& v1_funct_1(X1) )
=> ( v3_binop_1(X1,X0)
<=> ! [X2] :
( m1_subset_1(X2,X0)
=> k2_binop_1(X0,X0,X0,X1,X2,X2) = X2 ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+23.ax',d15_binop_1) ).
fof(f2083,axiom,
! [X0] :
( ~ v1_xboole_0(X0)
=> ! [X1] :
( m1_subset_1(X1,X0)
=> ! [X2] :
( ( m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
& v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
& v1_funct_1(X2) )
=> ( r1_binop_1(X0,X1,X2)
<=> ! [X3] :
( m1_subset_1(X3,X0)
=> k2_binop_1(X0,X0,X0,X2,X1,X3) = X3 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+23.ax',d16_binop_1) ).
fof(f2084,axiom,
! [X0] :
( ~ v1_xboole_0(X0)
=> ! [X1] :
( m1_subset_1(X1,X0)
=> ! [X2] :
( ( m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
& v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
& v1_funct_1(X2) )
=> ( r2_binop_1(X0,X1,X2)
<=> ! [X3] :
( m1_subset_1(X3,X0)
=> k2_binop_1(X0,X0,X0,X2,X3,X1) = X3 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+23.ax',d17_binop_1) ).
fof(f2091,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( m1_subset_1(X5,X1)
& m1_subset_1(X4,X0)
& m1_relset_1(X3,k2_zfmisc_1(X0,X1),X2)
& v1_funct_2(X3,k2_zfmisc_1(X0,X1),X2)
& v1_funct_1(X3)
& ~ v1_xboole_0(X1)
& ~ v1_xboole_0(X0) )
=> m1_subset_1(k2_binop_1(X0,X1,X2,X3,X4,X5),X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+23.ax',dt_k2_binop_1) ).
fof(f2092,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( m1_subset_1(X5,X1)
& m1_subset_1(X4,X0)
& m1_relset_1(X3,k2_zfmisc_1(X0,X1),X2)
& v1_funct_2(X3,k2_zfmisc_1(X0,X1),X2)
& v1_funct_1(X3)
& ~ v1_xboole_0(X1)
& ~ v1_xboole_0(X0) )
=> k2_binop_1(X0,X1,X2,X3,X4,X5) = k1_binop_1(X3,X4,X5) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+23.ax',redefinition_k2_binop_1) ).
fof(f2093,axiom,
! [X0,X1] :
( ( m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
& v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
& v1_funct_1(X1) )
=> m1_subset_1(k3_binop_1(X0,X1),X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+23.ax',dt_k3_binop_1) ).
fof(f2095,axiom,
! [X0] :
~ ( ! [X1,X2] : ~ r1_tarski(X0,k2_zfmisc_1(X1,X2))
& ! [X1] :
~ ( ! [X2,X3] : X1 != k4_tarski(X2,X3)
& r2_hidden(X1,X0) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+25.ax',t1_funct_4) ).
fof(f2096,axiom,
! [X0] :
( ( v1_funct_1(X0)
& v1_relat_1(X0) )
=> ! [X1] :
( ( v1_funct_1(X1)
& v1_relat_1(X1) )
=> k5_relat_1(X1,X0) = k5_relat_1(X1,k7_relat_1(X0,k2_relat_1(X1))) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+25.ax',t2_funct_4) ).
fof(f2098,axiom,
! [X0,X1] :
( r1_tarski(k6_partfun1(X0),k6_partfun1(X1))
<=> r1_tarski(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+25.ax',t4_funct_4) ).
fof(f2103,axiom,
! [X0,X1,X2] :
( ( v1_funct_1(X2)
& v1_relat_1(X2) )
=> r1_tarski(k7_relat_1(k8_relat_1(X0,X2),X1),X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+25.ax',t9_funct_4) ).
fof(f2104,axiom,
! [X0,X1,X2] :
( ( v1_funct_1(X2)
& v1_relat_1(X2) )
=> ! [X3] :
( ( v1_funct_1(X3)
& v1_relat_1(X3) )
=> ( r1_tarski(X2,X3)
=> r1_tarski(k7_relat_1(k8_relat_1(X0,X2),X1),k7_relat_1(k8_relat_1(X0,X3),X1)) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+25.ax',t10_funct_4) ).
fof(f2118,axiom,
! [X0,X1] : k1_funct_4(k6_partfun1(X0),k6_partfun1(X1)) = k6_partfun1(k2_xboole_0(X0,X1)),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+25.ax',t23_funct_4) ).
fof(f2153,axiom,
! [X0] :
( ( v1_funct_1(X0)
& v1_relat_1(X0) )
=> ! [X1] :
( ( v1_funct_1(X1)
& v1_relat_1(X1) )
=> ! [X2] :
( ( v1_funct_1(X2)
& v1_relat_1(X2) )
=> ( X2 = k3_funct_4(X0,X1)
<=> ( ! [X3,X4,X5,X6] :
( ( r2_hidden(k4_tarski(X5,X6),k1_relat_1(X1))
& r2_hidden(k4_tarski(X3,X4),k1_relat_1(X0)) )
=> k1_funct_1(X2,k4_tarski(k4_tarski(X3,X5),k4_tarski(X4,X6))) = k4_tarski(k1_funct_1(X0,k4_tarski(X3,X4)),k1_funct_1(X1,k4_tarski(X5,X6))) )
& ! [X3] :
( r2_hidden(X3,k1_relat_1(X2))
<=> ? [X4,X5,X6,X7] :
( r2_hidden(k4_tarski(X6,X7),k1_relat_1(X1))
& r2_hidden(k4_tarski(X4,X5),k1_relat_1(X0))
& X3 = k4_tarski(k4_tarski(X4,X6),k4_tarski(X5,X7)) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+25.ax',d3_funct_4) ).
fof(f2154,axiom,
! [X0,X1,X2,X3,X4] :
( ( v1_funct_1(X4)
& v1_relat_1(X4) )
=> ! [X5] :
( ( v1_funct_1(X5)
& v1_relat_1(X5) )
=> ( r2_hidden(k4_tarski(k4_tarski(X0,X1),k4_tarski(X2,X3)),k1_relat_1(k3_funct_4(X4,X5)))
<=> ( r2_hidden(k4_tarski(X1,X3),k1_relat_1(X5))
& r2_hidden(k4_tarski(X0,X2),k1_relat_1(X4)) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+25.ax',t57_funct_4) ).
fof(f2155,axiom,
! [X0,X1,X2,X3,X4] :
( ( v1_funct_1(X4)
& v1_relat_1(X4) )
=> ! [X5] :
( ( v1_funct_1(X5)
& v1_relat_1(X5) )
=> ( r2_hidden(k4_tarski(k4_tarski(X0,X1),k4_tarski(X2,X3)),k1_relat_1(k3_funct_4(X4,X5)))
=> k1_funct_1(k3_funct_4(X4,X5),k4_tarski(k4_tarski(X0,X1),k4_tarski(X2,X3))) = k4_tarski(k1_funct_1(X4,k4_tarski(X0,X2)),k1_funct_1(X5,k4_tarski(X1,X3))) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+25.ax',t58_funct_4) ).
fof(f2156,axiom,
! [X0] :
( ( v1_funct_1(X0)
& v1_relat_1(X0) )
=> ! [X1] :
( ( v1_funct_1(X1)
& v1_relat_1(X1) )
=> r1_tarski(k2_relat_1(k3_funct_4(X0,X1)),k2_zfmisc_1(k2_relat_1(X0),k2_relat_1(X1))) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+25.ax',t59_funct_4) ).
fof(f2157,axiom,
! [X0,X1,X2,X3,X4] :
( ( v1_funct_1(X4)
& v1_relat_1(X4) )
=> ! [X5] :
( ( v1_funct_1(X5)
& v1_relat_1(X5) )
=> ( ( r1_tarski(k1_relat_1(X5),k2_zfmisc_1(X2,X3))
& r1_tarski(k1_relat_1(X4),k2_zfmisc_1(X0,X1)) )
=> r1_tarski(k1_relat_1(k3_funct_4(X4,X5)),k2_zfmisc_1(k2_zfmisc_1(X0,X2),k2_zfmisc_1(X1,X3))) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+25.ax',t60_funct_4) ).
fof(f2158,axiom,
! [X0,X1,X2,X3,X4] :
( ( v1_funct_1(X4)
& v1_relat_1(X4) )
=> ! [X5] :
( ( v1_funct_1(X5)
& v1_relat_1(X5) )
=> ( ( k1_relat_1(X5) = k2_zfmisc_1(X2,X3)
& k1_relat_1(X4) = k2_zfmisc_1(X0,X1) )
=> k1_relat_1(k3_funct_4(X4,X5)) = k2_zfmisc_1(k2_zfmisc_1(X0,X2),k2_zfmisc_1(X1,X3)) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+25.ax',t61_funct_4) ).
fof(f2159,axiom,
! [X0,X1,X2,X3,X4,X5,X6] :
( ( m2_relset_1(X6,k2_zfmisc_1(X0,X1),X2)
& v1_funct_1(X6) )
=> ! [X7] :
( ( m2_relset_1(X7,k2_zfmisc_1(X3,X4),X5)
& v1_funct_1(X7) )
=> ( m2_relset_1(k3_funct_4(X6,X7),k2_zfmisc_1(k2_zfmisc_1(X0,X3),k2_zfmisc_1(X1,X4)),k2_zfmisc_1(X2,X5))
& v1_funct_1(k3_funct_4(X6,X7)) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+25.ax',t62_funct_4) ).
fof(f2160,axiom,
! [X0,X1,X2,X3,X4,X5,X6] :
( ( m2_relset_1(X6,k2_zfmisc_1(X0,X1),X2)
& v1_funct_2(X6,k2_zfmisc_1(X0,X1),X2)
& v1_funct_1(X6) )
=> ! [X7] :
( ( m2_relset_1(X7,k2_zfmisc_1(X3,X4),X5)
& v1_funct_2(X7,k2_zfmisc_1(X3,X4),X5)
& v1_funct_1(X7) )
=> ~ ( ~ ( m2_relset_1(k3_funct_4(X6,X7),k2_zfmisc_1(k2_zfmisc_1(X0,X3),k2_zfmisc_1(X1,X4)),k2_zfmisc_1(X2,X5))
& v1_funct_2(k3_funct_4(X6,X7),k2_zfmisc_1(k2_zfmisc_1(X0,X3),k2_zfmisc_1(X1,X4)),k2_zfmisc_1(X2,X5))
& v1_funct_1(k3_funct_4(X6,X7)) )
& X5 != k1_xboole_0
& X2 != k1_xboole_0 ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+25.ax',t63_funct_4) ).
fof(f2161,axiom,
! [X0,X1,X2,X3,X4] :
( ~ v1_xboole_0(X4)
=> ! [X5] :
( ~ v1_xboole_0(X5)
=> ! [X6] :
( ( m2_relset_1(X6,k2_zfmisc_1(X0,X1),X4)
& v1_funct_2(X6,k2_zfmisc_1(X0,X1),X4)
& v1_funct_1(X6) )
=> ! [X7] :
( ( m2_relset_1(X7,k2_zfmisc_1(X2,X3),X5)
& v1_funct_2(X7,k2_zfmisc_1(X2,X3),X5)
& v1_funct_1(X7) )
=> ( m2_relset_1(k3_funct_4(X6,X7),k2_zfmisc_1(k2_zfmisc_1(X0,X2),k2_zfmisc_1(X1,X3)),k2_zfmisc_1(X4,X5))
& v1_funct_2(k3_funct_4(X6,X7),k2_zfmisc_1(k2_zfmisc_1(X0,X2),k2_zfmisc_1(X1,X3)),k2_zfmisc_1(X4,X5))
& v1_funct_1(k3_funct_4(X6,X7)) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+25.ax',t64_funct_4) ).
fof(f2185,axiom,
! [X0,X1] :
( ( v1_funct_1(X1)
& v1_relat_1(X1)
& v1_funct_1(X0)
& v1_relat_1(X0) )
=> ( v1_funct_1(k3_funct_4(X0,X1))
& v1_relat_1(k3_funct_4(X0,X1)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+25.ax',dt_k3_funct_4) ).
fof(f2197,axiom,
! [X0] :
( v3_ordinal1(X0)
=> k3_tarski(k1_ordinal1(X0)) = X0 ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+26.ax',t2_ordinal2) ).
fof(f2198,axiom,
! [X0] :
( v3_ordinal1(X0)
=> r1_tarski(k1_ordinal1(X0),k1_zfmisc_1(X0)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+26.ax',t3_ordinal2) ).
fof(f2215,axiom,
! [X0] :
( ! [X1] :
( r2_hidden(X1,X0)
=> v3_ordinal1(X1) )
=> v3_ordinal1(k1_setfam_1(X0)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+26.ax',t17_ordinal2) ).
fof(f2314,axiom,
? [X0] :
( v1_finset_1(X0)
& ~ v1_xboole_0(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+31.ax',rc1_finset_1) ).
fof(f2315,axiom,
! [X0] :
( v1_xboole_0(X0)
=> v1_finset_1(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+31.ax',cc1_finset_1) ).
fof(f2318,axiom,
! [X0] :
( ~ v1_xboole_0(X0)
=> ? [X1] :
( v1_finset_1(X1)
& ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(X0)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+31.ax',rc3_finset_1) ).
fof(f2319,axiom,
! [X0,X1] :
( v1_finset_1(k2_tarski(X0,X1))
& ~ v1_xboole_0(k2_tarski(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+31.ax',fc2_finset_1) ).
fof(f2321,axiom,
! [X0,X1,X2,X3] : v1_finset_1(k2_enumset1(X0,X1,X2,X3)),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+31.ax',fc4_finset_1) ).
fof(f2327,axiom,
! [X0,X1] :
( ( v1_finset_1(X1)
& v1_finset_1(X0) )
=> v1_finset_1(k2_xboole_0(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+31.ax',fc9_finset_1) ).
fof(f2328,axiom,
! [X0,X1] :
( v1_finset_1(X1)
=> v1_finset_1(k3_xboole_0(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+31.ax',fc10_finset_1) ).
fof(f2330,axiom,
! [X0,X1] :
( v1_finset_1(X0)
=> v1_finset_1(k4_xboole_0(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+31.ax',fc12_finset_1) ).
fof(f2331,axiom,
! [X0,X1] :
( ( v1_finset_1(X1)
& v1_funct_1(X0)
& v1_relat_1(X0) )
=> v1_finset_1(k9_relat_1(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+31.ax',fc13_finset_1) ).
fof(f2332,axiom,
! [X0,X1] :
( ( v1_finset_1(X1)
& v1_finset_1(X0) )
=> v1_finset_1(k2_zfmisc_1(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+31.ax',fc14_finset_1) ).
fof(f2335,axiom,
! [X0,X1] :
( ( v1_finset_1(X1)
& v1_finset_1(X0) )
=> v1_finset_1(k5_xboole_0(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+31.ax',fc17_finset_1) ).
fof(f2336,axiom,
! [X0] :
( ~ v1_xboole_0(X0)
=> ? [X1] :
( v1_finset_1(X1)
& ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(X0)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+31.ax',rc4_finset_1) ).
fof(f2350,axiom,
! [X0,X1] :
( ( v1_finset_1(X1)
& r1_tarski(X0,X1) )
=> v1_finset_1(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+31.ax',t13_finset_1) ).
fof(f2355,axiom,
! [X0] :
( v1_finset_1(X0)
=> ! [X1] :
( m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(X0)))
=> ~ ( ! [X2] :
~ ( ! [X3] :
( ( r1_tarski(X2,X3)
& r2_hidden(X3,X1) )
=> X3 = X2 )
& r2_hidden(X2,X1) )
& X1 != k1_xboole_0 ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+31.ax',t18_finset_1) ).
fof(f2359,axiom,
! [X0,X1] :
( v1_finset_1(k2_zfmisc_1(X1,X0))
=> ( v1_finset_1(X1)
| X0 = k1_xboole_0 ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+31.ax',t22_finset_1) ).
fof(f2360,axiom,
! [X0,X1] :
( v1_finset_1(k2_zfmisc_1(X0,X1))
=> ( v1_finset_1(X1)
| X0 = k1_xboole_0 ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+31.ax',t23_finset_1) ).
fof(f2361,axiom,
! [X0] :
( v1_finset_1(X0)
<=> v1_finset_1(k1_zfmisc_1(X0)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+31.ax',t24_finset_1) ).
fof(f2362,axiom,
! [X0] :
( ( ! [X1] :
( r2_hidden(X1,X0)
=> v1_finset_1(X1) )
& v1_finset_1(X0) )
<=> v1_finset_1(k3_tarski(X0)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+31.ax',t25_finset_1) ).
fof(f2363,axiom,
! [X0] :
( ( v1_funct_1(X0)
& v1_relat_1(X0) )
=> ( v1_finset_1(k1_relat_1(X0))
=> v1_finset_1(k2_relat_1(X0)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+31.ax',t26_finset_1) ).
fof(f2364,axiom,
! [X0,X1] :
( ( v1_funct_1(X1)
& v1_relat_1(X1) )
=> ( ( v1_finset_1(k10_relat_1(X1,X0))
& r1_tarski(X0,k2_relat_1(X1)) )
=> v1_finset_1(X0) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+31.ax',t27_finset_1) ).
fof(f2366,axiom,
! [X0] :
( ( v1_funct_1(X0)
& v1_relat_1(X0) )
=> ( v1_finset_1(k1_relat_1(X0))
<=> v1_finset_1(X0) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+31.ax',t29_finset_1) ).
fof(f2376,axiom,
! [X0,X1] :
( m1_subset_1(X1,k5_finsub_1(X0))
=> v1_finset_1(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+32.ax',cc3_finsub_1) ).
fof(f2390,axiom,
! [X0] :
( v4_finsub_1(X0)
<=> ! [X1,X2] :
( ( r2_hidden(X2,X0)
& r2_hidden(X1,X0) )
=> ( r2_hidden(k4_xboole_0(X1,X2),X0)
& r2_hidden(k2_xboole_0(X1,X2),X0) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+32.ax',t10_finsub_1) ).
fof(f2393,axiom,
! [X0,X1,X2] :
( ( v4_finsub_1(X2)
& ~ v1_xboole_0(X2) )
=> ( ( m1_subset_1(X1,X2)
& m1_subset_1(X0,X2) )
=> m1_subset_1(k3_xboole_0(X0,X1),X2) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+32.ax',t13_finsub_1) ).
fof(f2394,axiom,
! [X0,X1,X2] :
( ( v4_finsub_1(X2)
& ~ v1_xboole_0(X2) )
=> ( ( m1_subset_1(X1,X2)
& m1_subset_1(X0,X2) )
=> m1_subset_1(k5_xboole_0(X0,X1),X2) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+32.ax',t14_finsub_1) ).
fof(f2395,axiom,
! [X0] :
( ~ v1_xboole_0(X0)
=> ( ! [X1] :
( m1_subset_1(X1,X0)
=> ! [X2] :
( m1_subset_1(X2,X0)
=> ( r2_hidden(k4_xboole_0(X1,X2),X0)
& r2_hidden(k5_xboole_0(X1,X2),X0) ) ) )
=> v4_finsub_1(X0) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+32.ax',t15_finsub_1) ).
fof(f2396,axiom,
! [X0] :
( ~ v1_xboole_0(X0)
=> ( ! [X1] :
( m1_subset_1(X1,X0)
=> ! [X2] :
( m1_subset_1(X2,X0)
=> ( r2_hidden(k3_xboole_0(X1,X2),X0)
& r2_hidden(k5_xboole_0(X1,X2),X0) ) ) )
=> v4_finsub_1(X0) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+32.ax',t16_finsub_1) ).
fof(f2397,axiom,
! [X0] :
( ~ v1_xboole_0(X0)
=> ( ! [X1] :
( m1_subset_1(X1,X0)
=> ! [X2] :
( m1_subset_1(X2,X0)
=> ( r2_hidden(k2_xboole_0(X1,X2),X0)
& r2_hidden(k5_xboole_0(X1,X2),X0) ) ) )
=> v4_finsub_1(X0) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+32.ax',t17_finsub_1) ).
fof(f2398,axiom,
! [X0] :
( ( v4_finsub_1(X0)
& ~ v1_xboole_0(X0) )
=> r2_hidden(k1_xboole_0,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+32.ax',t18_finsub_1) ).
fof(f2400,axiom,
! [X0] : v4_finsub_1(k1_zfmisc_1(X0)),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+32.ax',t20_finsub_1) ).
fof(f2401,axiom,
! [X0] :
( ( v4_finsub_1(X0)
& ~ v1_xboole_0(X0) )
=> ! [X1] :
( ( v4_finsub_1(X1)
& ~ v1_xboole_0(X1) )
=> ( v4_finsub_1(k3_xboole_0(X0,X1))
& ~ v1_xboole_0(k3_xboole_0(X0,X1)) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+32.ax',t21_finsub_1) ).
fof(f2402,axiom,
! [X0,X1] :
( v4_finsub_1(X1)
=> ( X1 = k5_finsub_1(X0)
<=> ! [X2] :
( r2_hidden(X2,X1)
<=> ( v1_finset_1(X2)
& r1_tarski(X2,X0) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+32.ax',d5_finsub_1) ).
fof(f2404,axiom,
! [X0,X1] :
( r1_tarski(X0,X1)
=> r1_tarski(k5_finsub_1(X0),k5_finsub_1(X1)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+32.ax',t23_finsub_1) ).
fof(f2405,axiom,
! [X0,X1] : k5_finsub_1(k3_xboole_0(X0,X1)) = k3_xboole_0(k5_finsub_1(X0),k5_finsub_1(X1)),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+32.ax',t24_finsub_1) ).
fof(f2406,axiom,
! [X0,X1] : r1_tarski(k2_xboole_0(k5_finsub_1(X0),k5_finsub_1(X1)),k5_finsub_1(k2_xboole_0(X0,X1))),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+32.ax',t25_finsub_1) ).
fof(f2407,axiom,
! [X0] : r1_tarski(k5_finsub_1(X0),k1_zfmisc_1(X0)),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+32.ax',t26_finsub_1) ).
fof(f2408,axiom,
! [X0] :
( v1_finset_1(X0)
=> k5_finsub_1(X0) = k1_zfmisc_1(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+32.ax',t27_finsub_1) ).
fof(f2409,axiom,
k5_finsub_1(k1_xboole_0) = k1_tarski(k1_xboole_0),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+32.ax',t28_finsub_1) ).
fof(f2413,axiom,
! [X0,X1] :
( m1_subset_1(X1,k5_finsub_1(X0))
=> m1_subset_1(X1,k1_zfmisc_1(X0)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+32.ax',t32_finsub_1) ).
fof(f2415,axiom,
! [X0,X1] :
( m1_subset_1(X1,k1_zfmisc_1(X0))
=> ( v1_finset_1(X0)
=> m1_subset_1(X1,k5_finsub_1(X0)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+32.ax',t34_finsub_1) ).
fof(f2429,axiom,
! [X0] : v4_finsub_1(k5_finsub_1(X0)),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+32.ax',dt_k5_finsub_1) ).
fof(f2430,axiom,
! [X0] :
? [X1] :
( v1_finset_1(X1)
& v1_xboole_0(X1)
& m1_subset_1(X1,k5_finsub_1(X0)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+33.ax',rc1_setwiseo) ).
fof(f2431,axiom,
! [X0] :
( ~ v1_xboole_0(X0)
=> ? [X1] :
( v1_finset_1(X1)
& ~ v1_xboole_0(X1)
& m1_subset_1(X1,k5_finsub_1(X0)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+33.ax',rc2_setwiseo) ).
fof(f2434,axiom,
! [X0,X1,X2] : r1_tarski(k1_tarski(X0),k1_enumset1(X0,X1,X2)),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+33.ax',t3_setwiseo) ).
fof(f2435,axiom,
! [X0,X1,X2] : r1_tarski(k2_tarski(X0,X1),k1_enumset1(X0,X1,X2)),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+33.ax',t4_setwiseo) ).
fof(f2436,axiom,
! [X0,X1,X2] :
~ ( ~ r1_tarski(X0,X1)
& ~ r2_hidden(X2,X0)
& r1_tarski(X0,k2_xboole_0(X1,k1_tarski(X2))) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+33.ax',t5_setwiseo) ).
fof(f2437,axiom,
! [X0,X1,X2] :
( r2_hidden(X0,k2_xboole_0(X1,k1_tarski(X2)))
<=> ( X0 = X2
| r2_hidden(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+33.ax',t6_setwiseo) ).
fof(f2439,axiom,
! [X0,X1,X2] :
( r1_tarski(k2_xboole_0(X0,k1_tarski(X1)),X2)
<=> ( r1_tarski(X0,X2)
& r2_hidden(X1,X2) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+33.ax',t8_setwiseo) ).
fof(f2442,axiom,
! [X0,X1,X2] :
( ( v1_funct_1(X2)
& v1_relat_1(X2) )
=> k9_relat_1(X2,k4_xboole_0(X1,k10_relat_1(X2,X0))) = k4_xboole_0(k9_relat_1(X2,X1),X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+33.ax',t11_setwiseo) ).
fof(f2444,axiom,
! [X0] :
( ~ v1_xboole_0(X0)
=> ! [X1] :
( ~ v1_xboole_0(X1)
=> ! [X2] :
( ( m2_relset_1(X2,X1,X0)
& v1_funct_2(X2,X1,X0)
& v1_funct_1(X2) )
=> ! [X3] :
( m1_subset_1(X3,X1)
=> k2_funct_2(X1,X0,X2,k1_tarski(X3)) = k1_tarski(k8_funct_2(X1,X0,X2,X3)) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+33.ax',t13_setwiseo) ).
fof(f2445,axiom,
! [X0] :
( ~ v1_xboole_0(X0)
=> ! [X1] :
( m1_subset_1(X1,k5_finsub_1(X0))
=> ! [X2] :
( r2_hidden(X2,X1)
=> m1_subset_1(X2,X0) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+33.ax',t14_setwiseo) ).
fof(f2446,axiom,
! [X0] :
( ~ v1_xboole_0(X0)
=> ! [X1] :
( ~ v1_xboole_0(X1)
=> ! [X2] :
( m1_subset_1(X2,k5_finsub_1(X0))
=> ! [X3,X4] :
( ( m2_relset_1(X4,X0,X1)
& v1_funct_2(X4,X0,X1)
& v1_funct_1(X4) )
=> ( ! [X5] :
( m1_subset_1(X5,X0)
=> ( r2_hidden(X5,X2)
=> r2_hidden(k8_funct_2(X0,X1,X4,X5),X3) ) )
=> r1_tarski(k2_funct_2(X0,X1,X4,X2),X3) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+33.ax',t15_setwiseo) ).
fof(f2447,axiom,
! [X0,X1] :
( m1_subset_1(X1,k5_finsub_1(X0))
=> ! [X2] :
( r1_tarski(X2,X1)
=> m1_subset_1(X2,k5_finsub_1(X0)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+33.ax',t16_setwiseo) ).
fof(f2449,axiom,
! [X0] :
( ~ v1_xboole_0(X0)
=> ! [X1] :
( m1_subset_1(X1,k5_finsub_1(X0))
=> ~ ( ! [X2] :
( m1_subset_1(X2,X0)
=> ~ r2_hidden(X2,X1) )
& X1 != k1_xboole_0 ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+33.ax',t18_setwiseo) ).
fof(f2450,axiom,
! [X0] :
( ~ v1_xboole_0(X0)
=> ! [X1] :
( ~ v1_xboole_0(X1)
=> ! [X2] :
( ( m2_relset_1(X2,X1,X0)
& v1_funct_2(X2,X1,X0)
& v1_funct_1(X2) )
=> ! [X3] :
( m1_subset_1(X3,k5_finsub_1(X1))
=> ( k2_funct_2(X1,X0,X2,X3) = k1_xboole_0
=> X3 = k1_xboole_0 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+33.ax',t19_setwiseo) ).
fof(f2451,axiom,
! [X0] : k1_setwiseo(X0) = k1_xboole_0,
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+33.ax',d1_setwiseo) ).
fof(f2452,axiom,
! [X0] :
( ~ v1_xboole_0(X0)
=> ! [X1] :
( ( m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
& v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
& v1_funct_1(X1) )
=> ( v1_setwiseo(X1,X0)
<=> ? [X2] :
( r3_binop_1(X0,X2,X1)
& m1_subset_1(X2,X0) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+33.ax',d2_setwiseo) ).
fof(f2455,axiom,
! [X0] :
( ~ v1_xboole_0(X0)
=> ! [X1] :
( ( m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
& v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
& v1_funct_1(X1) )
=> ( v1_setwiseo(X1,X0)
<=> r3_binop_1(X0,k3_binop_1(X0,X1),X1) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+33.ax',t22_setwiseo) ).
fof(f2456,axiom,
! [X0] :
( ~ v1_xboole_0(X0)
=> ! [X1] :
( ( m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
& v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
& v1_funct_1(X1) )
=> ( v1_setwiseo(X1,X0)
=> ! [X2] :
( m1_subset_1(X2,X0)
=> ( k2_binop_1(X0,X0,X0,X1,X2,k3_binop_1(X0,X1)) = X2
& k2_binop_1(X0,X0,X0,X1,k3_binop_1(X0,X1),X2) = X2 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+33.ax',t23_setwiseo) ).
fof(f2459,axiom,
! [X0] :
( ~ v1_xboole_0(X0)
=> ! [X1] :
( ~ v1_xboole_0(X1)
=> ! [X2] :
( ( m2_relset_1(X2,k2_zfmisc_1(X1,X1),X1)
& v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
& v1_funct_1(X2) )
=> ! [X3] :
( m1_subset_1(X3,k5_finsub_1(X0))
=> ! [X4] :
( ( m2_relset_1(X4,X0,X1)
& v1_funct_2(X4,X0,X1)
& v1_funct_1(X4) )
=> ( ( v2_binop_1(X2,X1)
& v1_binop_1(X2,X1)
& v3_binop_1(X2,X1) )
=> ( ! [X5] :
( m1_subset_1(X5,X1)
=> ( X5 = k7_setwiseo(X0,X1,X2,X3,X4)
<=> ? [X6] :
( ! [X7] :
( m1_subset_1(X7,k5_finsub_1(X0))
=> ( r1_tarski(X7,X3)
=> ( ! [X8] :
( m1_subset_1(X8,X0)
=> ( r2_hidden(X8,X3)
=> k8_funct_2(k5_finsub_1(X0),X1,X6,k5_setwiseo(X0,X7,k2_setwiseo(X0,X8))) = k2_binop_1(X1,X1,X1,X2,k8_funct_2(k5_finsub_1(X0),X1,X6,X7),k8_funct_2(X0,X1,X4,X8)) ) )
| X7 = k1_xboole_0 ) ) )
& ! [X7] :
( m1_subset_1(X7,X0)
=> k8_funct_2(k5_finsub_1(X0),X1,X6,k2_setwiseo(X0,X7)) = k8_funct_2(X0,X1,X4,X7) )
& ! [X7] :
( m1_subset_1(X7,X1)
=> ( r3_binop_1(X1,X7,X2)
=> k1_funct_1(X6,k1_xboole_0) = X7 ) )
& X5 = k8_funct_2(k5_finsub_1(X0),X1,X6,X3)
& m2_relset_1(X6,k5_finsub_1(X0),X1)
& v1_funct_2(X6,k5_finsub_1(X0),X1)
& v1_funct_1(X6) ) ) )
| ( ~ v1_setwiseo(X2,X1)
& X3 = k1_xboole_0 ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+33.ax',t25_setwiseo) ).
fof(f2460,axiom,
! [X0] :
( ~ v1_xboole_0(X0)
=> ! [X1] :
( ~ v1_xboole_0(X1)
=> ! [X2] :
( ( m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
& v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
& v1_funct_1(X2) )
=> ! [X3] :
( ( m2_relset_1(X3,X1,X0)
& v1_funct_2(X3,X1,X0)
& v1_funct_1(X3) )
=> ( ( v2_binop_1(X2,X0)
& v1_binop_1(X2,X0) )
=> ! [X4] :
( m1_subset_1(X4,X1)
=> k7_setwiseo(X1,X0,X2,k2_setwiseo(X1,X4),X3) = k8_funct_2(X1,X0,X3,X4) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+33.ax',t26_setwiseo) ).
fof(f2463,axiom,
! [X0] :
( ~ v1_xboole_0(X0)
=> ! [X1] :
( ~ v1_xboole_0(X1)
=> ! [X2] :
( ( m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
& v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
& v1_funct_1(X2) )
=> ! [X3] :
( m1_subset_1(X3,k5_finsub_1(X1))
=> ! [X4] :
( ( m2_relset_1(X4,X1,X0)
& v1_funct_2(X4,X1,X0)
& v1_funct_1(X4) )
=> ( ( v2_binop_1(X2,X0)
& v1_binop_1(X2,X0)
& v3_binop_1(X2,X0) )
=> ( ! [X5] :
( m1_subset_1(X5,X1)
=> k7_setwiseo(X1,X0,X2,k5_setwiseo(X1,X3,k2_setwiseo(X1,X5)),X4) = k2_binop_1(X0,X0,X0,X2,k7_setwiseo(X1,X0,X2,X3,X4),k8_funct_2(X1,X0,X4,X5)) )
| X3 = k1_xboole_0 ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+33.ax',t29_setwiseo) ).
fof(f2464,axiom,
! [X0] :
( ~ v1_xboole_0(X0)
=> ! [X1] :
( ~ v1_xboole_0(X1)
=> ! [X2] :
( ( m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
& v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
& v1_funct_1(X2) )
=> ! [X3] :
( ( m2_relset_1(X3,X1,X0)
& v1_funct_2(X3,X1,X0)
& v1_funct_1(X3) )
=> ( ( v2_binop_1(X2,X0)
& v1_binop_1(X2,X0)
& v3_binop_1(X2,X0) )
=> ! [X4] :
( m1_subset_1(X4,k5_finsub_1(X1))
=> ! [X5] :
( m1_subset_1(X5,k5_finsub_1(X1))
=> ~ ( k7_setwiseo(X1,X0,X2,k5_setwiseo(X1,X4,X5),X3) != k2_binop_1(X0,X0,X0,X2,k7_setwiseo(X1,X0,X2,X4,X3),k7_setwiseo(X1,X0,X2,X5,X3))
& X5 != k1_xboole_0
& X4 != k1_xboole_0 ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+33.ax',t30_setwiseo) ).
fof(f2465,axiom,
! [X0] :
( ~ v1_xboole_0(X0)
=> ! [X1] :
( ~ v1_xboole_0(X1)
=> ! [X2] :
( ( m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
& v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
& v1_funct_1(X2) )
=> ! [X3] :
( m1_subset_1(X3,k5_finsub_1(X1))
=> ! [X4] :
( ( m2_relset_1(X4,X1,X0)
& v1_funct_2(X4,X1,X0)
& v1_funct_1(X4) )
=> ( ( v3_binop_1(X2,X0)
& v2_binop_1(X2,X0)
& v1_binop_1(X2,X0) )
=> ! [X5] :
( m1_subset_1(X5,X1)
=> ( r2_hidden(X5,X3)
=> k2_binop_1(X0,X0,X0,X2,k8_funct_2(X1,X0,X4,X5),k7_setwiseo(X1,X0,X2,X3,X4)) = k7_setwiseo(X1,X0,X2,X3,X4) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+33.ax',t31_setwiseo) ).
fof(f2466,axiom,
! [X0] :
( ~ v1_xboole_0(X0)
=> ! [X1] :
( ~ v1_xboole_0(X1)
=> ! [X2] :
( ( m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
& v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
& v1_funct_1(X2) )
=> ! [X3] :
( ( m2_relset_1(X3,X1,X0)
& v1_funct_2(X3,X1,X0)
& v1_funct_1(X3) )
=> ( ( v3_binop_1(X2,X0)
& v2_binop_1(X2,X0)
& v1_binop_1(X2,X0) )
=> ! [X4] :
( m1_subset_1(X4,k5_finsub_1(X1))
=> ! [X5] :
( m1_subset_1(X5,k5_finsub_1(X1))
=> ( r1_tarski(X4,X5)
=> ( k2_binop_1(X0,X0,X0,X2,k7_setwiseo(X1,X0,X2,X4,X3),k7_setwiseo(X1,X0,X2,X5,X3)) = k7_setwiseo(X1,X0,X2,X5,X3)
| X4 = k1_xboole_0 ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+33.ax',t32_setwiseo) ).
fof(f2467,axiom,
! [X0] :
( ~ v1_xboole_0(X0)
=> ! [X1] :
( ~ v1_xboole_0(X1)
=> ! [X2] :
( ( m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
& v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
& v1_funct_1(X2) )
=> ! [X3] :
( m1_subset_1(X3,k5_finsub_1(X1))
=> ! [X4] :
( ( m2_relset_1(X4,X1,X0)
& v1_funct_2(X4,X1,X0)
& v1_funct_1(X4) )
=> ( ( v3_binop_1(X2,X0)
& v2_binop_1(X2,X0)
& v1_binop_1(X2,X0) )
=> ( ! [X5] :
( m1_subset_1(X5,X0)
=> ( ! [X6] :
( m1_subset_1(X6,X1)
=> ( r2_hidden(X6,X3)
=> k8_funct_2(X1,X0,X4,X6) = X5 ) )
=> k7_setwiseo(X1,X0,X2,X3,X4) = X5 ) )
| X3 = k1_xboole_0 ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+33.ax',t33_setwiseo) ).
fof(f2468,axiom,
! [X0] :
( ~ v1_xboole_0(X0)
=> ! [X1] :
( ~ v1_xboole_0(X1)
=> ! [X2] :
( ( m2_relset_1(X2,k2_zfmisc_1(X1,X1),X1)
& v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
& v1_funct_1(X2) )
=> ! [X3] :
( m1_subset_1(X3,k5_finsub_1(X0))
=> ! [X4] :
( ( m2_relset_1(X4,X0,X1)
& v1_funct_2(X4,X0,X1)
& v1_funct_1(X4) )
=> ( ( v3_binop_1(X2,X1)
& v2_binop_1(X2,X1)
& v1_binop_1(X2,X1) )
=> ! [X5] :
( m1_subset_1(X5,X1)
=> ( k2_funct_2(X0,X1,X4,X3) = k2_setwiseo(X1,X5)
=> k7_setwiseo(X0,X1,X2,X3,X4) = X5 ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+33.ax',t34_setwiseo) ).
fof(f2469,axiom,
! [X0] :
( ~ v1_xboole_0(X0)
=> ! [X1] :
( ~ v1_xboole_0(X1)
=> ! [X2] :
( ( m2_relset_1(X2,k2_zfmisc_1(X1,X1),X1)
& v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
& v1_funct_1(X2) )
=> ( ( v3_binop_1(X2,X1)
& v2_binop_1(X2,X1)
& v1_binop_1(X2,X1) )
=> ! [X3] :
( ( m2_relset_1(X3,X0,X1)
& v1_funct_2(X3,X0,X1)
& v1_funct_1(X3) )
=> ! [X4] :
( ( m2_relset_1(X4,X0,X1)
& v1_funct_2(X4,X0,X1)
& v1_funct_1(X4) )
=> ! [X5] :
( m1_subset_1(X5,k5_finsub_1(X0))
=> ! [X6] :
( m1_subset_1(X6,k5_finsub_1(X0))
=> ( k2_funct_2(X0,X1,X3,X5) = k2_funct_2(X0,X1,X4,X6)
=> ( k7_setwiseo(X0,X1,X2,X5,X3) = k7_setwiseo(X0,X1,X2,X6,X4)
| X5 = k1_xboole_0 ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+33.ax',t35_setwiseo) ).
fof(f2473,axiom,
! [X0] :
( ~ v1_xboole_0(X0)
=> ! [X1] :
( ~ v1_xboole_0(X1)
=> ! [X2] :
( ( m2_relset_1(X2,k2_zfmisc_1(X1,X1),X1)
& v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
& v1_funct_1(X2) )
=> ( ( v3_binop_1(X2,X1)
& v2_binop_1(X2,X1)
& v1_binop_1(X2,X1) )
=> ! [X3] :
( ~ v1_xboole_0(X3)
=> ! [X4] :
( ( m2_relset_1(X4,k2_zfmisc_1(X3,X3),X3)
& v1_funct_2(X4,k2_zfmisc_1(X3,X3),X3)
& v1_funct_1(X4) )
=> ( ( v3_binop_1(X4,X3)
& v2_binop_1(X4,X3)
& v1_binop_1(X4,X3) )
=> ! [X5] :
( ( m2_relset_1(X5,X0,X1)
& v1_funct_2(X5,X0,X1)
& v1_funct_1(X5) )
=> ! [X6] :
( ( m2_relset_1(X6,X1,X3)
& v1_funct_2(X6,X1,X3)
& v1_funct_1(X6) )
=> ( ! [X7] :
( m1_subset_1(X7,X1)
=> ! [X8] :
( m1_subset_1(X8,X1)
=> k8_funct_2(X1,X3,X6,k2_binop_1(X1,X1,X1,X2,X7,X8)) = k2_binop_1(X3,X3,X3,X4,k8_funct_2(X1,X3,X6,X7),k8_funct_2(X1,X3,X6,X8)) ) )
=> ! [X7] :
( m1_subset_1(X7,k5_finsub_1(X0))
=> ( X7 != k1_xboole_0
=> k8_funct_2(X1,X3,X6,k7_setwiseo(X0,X1,X2,X7,X5)) = k7_setwiseo(X0,X3,X4,X7,k7_funct_2(X0,X1,X3,X5,X6)) ) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+33.ax',t39_setwiseo) ).
fof(f2474,axiom,
! [X0] :
( ~ v1_xboole_0(X0)
=> ! [X1] :
( ~ v1_xboole_0(X1)
=> ! [X2] :
( ( m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
& v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
& v1_funct_1(X2) )
=> ( ( v1_setwiseo(X2,X0)
& v2_binop_1(X2,X0)
& v1_binop_1(X2,X0) )
=> ! [X3] :
( ( m2_relset_1(X3,X1,X0)
& v1_funct_2(X3,X1,X0)
& v1_funct_1(X3) )
=> k7_setwiseo(X1,X0,X2,k1_setwiseo(X1),X3) = k3_binop_1(X0,X2) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+33.ax',t40_setwiseo) ).
fof(f2475,axiom,
! [X0] :
( ~ v1_xboole_0(X0)
=> ! [X1] :
( ~ v1_xboole_0(X1)
=> ! [X2] :
( ( m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
& v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
& v1_funct_1(X2) )
=> ! [X3] :
( m1_subset_1(X3,k5_finsub_1(X1))
=> ! [X4] :
( ( m2_relset_1(X4,X1,X0)
& v1_funct_2(X4,X1,X0)
& v1_funct_1(X4) )
=> ( ( v1_setwiseo(X2,X0)
& v2_binop_1(X2,X0)
& v1_binop_1(X2,X0)
& v3_binop_1(X2,X0) )
=> ! [X5] :
( m1_subset_1(X5,X1)
=> k7_setwiseo(X1,X0,X2,k5_setwiseo(X1,X3,k2_setwiseo(X1,X5)),X4) = k2_binop_1(X0,X0,X0,X2,k7_setwiseo(X1,X0,X2,X3,X4),k8_funct_2(X1,X0,X4,X5)) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+33.ax',t41_setwiseo) ).
fof(f2476,axiom,
! [X0] :
( ~ v1_xboole_0(X0)
=> ! [X1] :
( ~ v1_xboole_0(X1)
=> ! [X2] :
( ( m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
& v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
& v1_funct_1(X2) )
=> ! [X3] :
( ( m2_relset_1(X3,X1,X0)
& v1_funct_2(X3,X1,X0)
& v1_funct_1(X3) )
=> ( ( v1_setwiseo(X2,X0)
& v2_binop_1(X2,X0)
& v1_binop_1(X2,X0)
& v3_binop_1(X2,X0) )
=> ! [X4] :
( m1_subset_1(X4,k5_finsub_1(X1))
=> ! [X5] :
( m1_subset_1(X5,k5_finsub_1(X1))
=> k7_setwiseo(X1,X0,X2,k5_setwiseo(X1,X4,X5),X3) = k2_binop_1(X0,X0,X0,X2,k7_setwiseo(X1,X0,X2,X4,X3),k7_setwiseo(X1,X0,X2,X5,X3)) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+33.ax',t42_setwiseo) ).
fof(f2479,axiom,
! [X0] :
( ~ v1_xboole_0(X0)
=> ! [X1] :
( ~ v1_xboole_0(X1)
=> ! [X2] :
( ( m2_relset_1(X2,k2_zfmisc_1(X1,X1),X1)
& v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
& v1_funct_1(X2) )
=> ( ( v1_setwiseo(X2,X1)
& v3_binop_1(X2,X1)
& v2_binop_1(X2,X1)
& v1_binop_1(X2,X1) )
=> ! [X3] :
( ~ v1_xboole_0(X3)
=> ! [X4] :
( ( m2_relset_1(X4,k2_zfmisc_1(X3,X3),X3)
& v1_funct_2(X4,k2_zfmisc_1(X3,X3),X3)
& v1_funct_1(X4) )
=> ( ( v1_setwiseo(X4,X3)
& v3_binop_1(X4,X3)
& v2_binop_1(X4,X3)
& v1_binop_1(X4,X3) )
=> ! [X5] :
( ( m2_relset_1(X5,X0,X1)
& v1_funct_2(X5,X0,X1)
& v1_funct_1(X5) )
=> ! [X6] :
( ( m2_relset_1(X6,X1,X3)
& v1_funct_2(X6,X1,X3)
& v1_funct_1(X6) )
=> ( ( ! [X7] :
( m1_subset_1(X7,X1)
=> ! [X8] :
( m1_subset_1(X8,X1)
=> k8_funct_2(X1,X3,X6,k2_binop_1(X1,X1,X1,X2,X7,X8)) = k2_binop_1(X3,X3,X3,X4,k8_funct_2(X1,X3,X6,X7),k8_funct_2(X1,X3,X6,X8)) ) )
& k8_funct_2(X1,X3,X6,k3_binop_1(X1,X2)) = k3_binop_1(X3,X4) )
=> ! [X7] :
( m1_subset_1(X7,k5_finsub_1(X0))
=> k8_funct_2(X1,X3,X6,k7_setwiseo(X0,X1,X2,X7,X5)) = k7_setwiseo(X0,X3,X4,X7,k7_funct_2(X0,X1,X3,X5,X6)) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+33.ax',t45_setwiseo) ).
fof(f2487,axiom,
! [X0] : r3_binop_1(k5_finsub_1(X0),k1_setwiseo(X0),k9_setwiseo(X0)),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+33.ax',t52_setwiseo) ).
fof(f2495,axiom,
! [X0] :
( ~ v1_xboole_0(X0)
=> ! [X1,X2] :
( ( m2_relset_1(X2,X0,k5_finsub_1(X1))
& v1_funct_2(X2,X0,k5_finsub_1(X1))
& v1_funct_1(X2) )
=> k10_setwiseo(X0,X1,k1_setwiseo(X0),X2) = k1_xboole_0 ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+33.ax',t59_setwiseo) ).
fof(f2500,axiom,
! [X0] :
( ~ v1_xboole_0(X0)
=> ! [X1] :
( ~ v1_xboole_0(X1)
=> ! [X2,X3] :
( ( m2_relset_1(X3,k2_zfmisc_1(X0,X0),X0)
& v1_funct_2(X3,k2_zfmisc_1(X0,X0),X0)
& v1_funct_1(X3) )
=> ( ( v3_binop_1(X3,X0)
& v2_binop_1(X3,X0)
& v1_binop_1(X3,X0) )
=> ! [X4] :
( m1_subset_1(X4,k5_finsub_1(X1))
=> ( X4 != k1_xboole_0
=> ! [X5] :
( ( m2_relset_1(X5,X1,k5_finsub_1(X2))
& v1_funct_2(X5,X1,k5_finsub_1(X2))
& v1_funct_1(X5) )
=> ! [X6] :
( ( m2_relset_1(X6,k5_finsub_1(X2),X0)
& v1_funct_2(X6,k5_finsub_1(X2),X0)
& v1_funct_1(X6) )
=> ( ! [X7] :
( m1_subset_1(X7,k5_finsub_1(X2))
=> ! [X8] :
( m1_subset_1(X8,k5_finsub_1(X2))
=> k8_funct_2(k5_finsub_1(X2),X0,X6,k5_setwiseo(X2,X7,X8)) = k2_binop_1(X0,X0,X0,X3,k8_funct_2(k5_finsub_1(X2),X0,X6,X7),k8_funct_2(k5_finsub_1(X2),X0,X6,X8)) ) )
=> k8_funct_2(k5_finsub_1(X2),X0,X6,k10_setwiseo(X1,X2,X4,X5)) = k7_setwiseo(X1,X0,X3,X4,k7_funct_2(X1,k5_finsub_1(X2),X0,X5,X6)) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+33.ax',t64_setwiseo) ).
fof(f2501,axiom,
! [X0] :
( ~ v1_xboole_0(X0)
=> ! [X1] :
( ~ v1_xboole_0(X1)
=> ! [X2,X3] :
( ( m2_relset_1(X3,k2_zfmisc_1(X1,X1),X1)
& v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
& v1_funct_1(X3) )
=> ( ( v1_setwiseo(X3,X1)
& v3_binop_1(X3,X1)
& v2_binop_1(X3,X1)
& v1_binop_1(X3,X1) )
=> ! [X4] :
( ( m2_relset_1(X4,X0,k5_finsub_1(X2))
& v1_funct_2(X4,X0,k5_finsub_1(X2))
& v1_funct_1(X4) )
=> ! [X5] :
( ( m2_relset_1(X5,k5_finsub_1(X2),X1)
& v1_funct_2(X5,k5_finsub_1(X2),X1)
& v1_funct_1(X5) )
=> ( ( ! [X6] :
( m1_subset_1(X6,k5_finsub_1(X2))
=> ! [X7] :
( m1_subset_1(X7,k5_finsub_1(X2))
=> k8_funct_2(k5_finsub_1(X2),X1,X5,k5_setwiseo(X2,X6,X7)) = k2_binop_1(X1,X1,X1,X3,k8_funct_2(k5_finsub_1(X2),X1,X5,X6),k8_funct_2(k5_finsub_1(X2),X1,X5,X7)) ) )
& k8_funct_2(k5_finsub_1(X2),X1,X5,k1_setwiseo(X2)) = k3_binop_1(X1,X3) )
=> ! [X6] :
( m1_subset_1(X6,k5_finsub_1(X0))
=> k8_funct_2(k5_finsub_1(X2),X1,X5,k10_setwiseo(X0,X2,X6,X4)) = k7_setwiseo(X0,X1,X3,X6,k7_funct_2(X0,k5_finsub_1(X2),X1,X4,X5)) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+33.ax',t65_setwiseo) ).
fof(f2509,axiom,
! [X0] :
( ~ v1_xboole_0(X0)
=> ! [X1,X2,X3] :
( ( m2_relset_1(X3,X0,k5_finsub_1(X1))
& v1_funct_2(X3,X0,k5_finsub_1(X1))
& v1_funct_1(X3) )
=> ! [X4] :
( ( m2_relset_1(X4,k5_finsub_1(X1),k5_finsub_1(X2))
& v1_funct_2(X4,k5_finsub_1(X1),k5_finsub_1(X2))
& v1_funct_1(X4) )
=> ( ( ! [X5] :
( m1_subset_1(X5,k5_finsub_1(X1))
=> ! [X6] :
( m1_subset_1(X6,k5_finsub_1(X1))
=> k8_funct_2(k5_finsub_1(X1),k5_finsub_1(X2),X4,k5_setwiseo(X1,X5,X6)) = k5_setwiseo(X2,k8_funct_2(k5_finsub_1(X1),k5_finsub_1(X2),X4,X5),k8_funct_2(k5_finsub_1(X1),k5_finsub_1(X2),X4,X6)) ) )
& k8_funct_2(k5_finsub_1(X1),k5_finsub_1(X2),X4,k1_setwiseo(X1)) = k1_setwiseo(X2) )
=> ! [X5] :
( m1_subset_1(X5,k5_finsub_1(X0))
=> k8_funct_2(k5_finsub_1(X1),k5_finsub_1(X2),X4,k10_setwiseo(X0,X1,X5,X3)) = k10_setwiseo(X0,X2,X5,k7_funct_2(X0,k5_finsub_1(X1),k5_finsub_1(X2),X3,X4)) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+33.ax',t72_setwiseo) ).
fof(f2514,axiom,
! [X0] :
( m1_subset_1(k1_setwiseo(X0),k5_finsub_1(X0))
& v1_xboole_0(k1_setwiseo(X0)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+33.ax',dt_k1_setwiseo) ).
fof(f2515,axiom,
! [X0,X1] :
( ( m1_subset_1(X1,X0)
& ~ v1_xboole_0(X0) )
=> m1_subset_1(k2_setwiseo(X0,X1),k5_finsub_1(X0)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+33.ax',dt_k2_setwiseo) ).
fof(f2516,axiom,
! [X0,X1] :
( ( m1_subset_1(X1,X0)
& ~ v1_xboole_0(X0) )
=> k2_setwiseo(X0,X1) = k1_tarski(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+33.ax',redefinition_k2_setwiseo) ).
fof(f2522,axiom,
! [X0,X1,X2] :
( ( m1_subset_1(X2,k5_finsub_1(X0))
& m1_subset_1(X1,k5_finsub_1(X0)) )
=> m1_subset_1(k5_setwiseo(X0,X1,X2),k5_finsub_1(X0)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+33.ax',dt_k5_setwiseo) ).
fof(f2523,axiom,
! [X0,X1,X2] :
( ( m1_subset_1(X2,k5_finsub_1(X0))
& m1_subset_1(X1,k5_finsub_1(X0)) )
=> k5_setwiseo(X0,X1,X2) = k5_setwiseo(X0,X2,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+33.ax',commutativity_k5_setwiseo) ).
fof(f2524,axiom,
! [X0,X1,X2] :
( ( m1_subset_1(X2,k5_finsub_1(X0))
& m1_subset_1(X1,k5_finsub_1(X0)) )
=> k5_setwiseo(X0,X1,X1) = X1 ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+33.ax',idempotence_k5_setwiseo) ).
fof(f2525,axiom,
! [X0,X1,X2] :
( ( m1_subset_1(X2,k5_finsub_1(X0))
& m1_subset_1(X1,k5_finsub_1(X0)) )
=> k5_setwiseo(X0,X1,X2) = k2_xboole_0(X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+33.ax',redefinition_k5_setwiseo) ).
fof(f2528,axiom,
! [X0,X1,X2,X3,X4] :
( ( m1_relset_1(X4,X0,X1)
& v1_funct_2(X4,X0,X1)
& v1_funct_1(X4)
& m1_subset_1(X3,k5_finsub_1(X0))
& m1_relset_1(X2,k2_zfmisc_1(X1,X1),X1)
& v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
& v1_funct_1(X2)
& ~ v1_xboole_0(X1)
& ~ v1_xboole_0(X0) )
=> m1_subset_1(k7_setwiseo(X0,X1,X2,X3,X4),X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+33.ax',dt_k7_setwiseo) ).
fof(f2540,axiom,
! [X0] :
( ~ v1_xboole_0(X0)
=> ! [X1] :
( ~ v1_xboole_0(X1)
=> ! [X2] :
( ( m2_relset_1(X2,X0,X1)
& v1_funct_2(X2,X0,X1)
& v1_funct_1(X2) )
=> ! [X3] :
( ( m2_relset_1(X3,X0,X1)
& v1_funct_2(X3,X0,X1)
& v1_funct_1(X3) )
=> ! [X4] :
( k7_relat_1(X2,X4) = k7_relat_1(X3,X4)
=> ! [X5] :
( m1_subset_1(X5,X0)
=> ( r2_hidden(X5,X4)
=> k8_funct_2(X0,X1,X2,X5) = k8_funct_2(X0,X1,X3,X5) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+34.ax',t3_fraenkel) ).
fof(f2632,axiom,
~ v1_xboole_0(k1_numbers),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+35.ax',fc1_numbers) ).
fof(f2633,axiom,
~ v1_xboole_0(k2_numbers),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+35.ax',fc2_numbers) ).
fof(f2634,axiom,
~ v1_xboole_0(k3_numbers),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+35.ax',fc3_numbers) ).
fof(f2635,axiom,
~ v1_xboole_0(k4_numbers),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+35.ax',fc4_numbers) ).
fof(f2649,axiom,
r1_tarski(k1_numbers,k2_numbers),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+35.ax',t11_numbers) ).
fof(f2650,axiom,
r1_tarski(k3_numbers,k1_numbers),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+35.ax',t12_numbers) ).
fof(f2651,axiom,
r1_tarski(k3_numbers,k2_numbers),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+35.ax',t13_numbers) ).
fof(f2652,axiom,
r1_tarski(k4_numbers,k3_numbers),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+35.ax',t14_numbers) ).
fof(f2653,axiom,
r1_tarski(k4_numbers,k1_numbers),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+35.ax',t15_numbers) ).
fof(f2654,axiom,
r1_tarski(k4_numbers,k2_numbers),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+35.ax',t16_numbers) ).
fof(f2655,axiom,
r1_tarski(k5_numbers,k4_numbers),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+35.ax',t17_numbers) ).
fof(f2656,axiom,
r1_tarski(k5_numbers,k3_numbers),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+35.ax',t18_numbers) ).
fof(f2657,axiom,
r1_tarski(k5_numbers,k1_numbers),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+35.ax',t19_numbers) ).
fof(f2658,axiom,
r1_tarski(k5_numbers,k2_numbers),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+35.ax',t20_numbers) ).
fof(f2659,axiom,
k1_numbers != k2_numbers,
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+35.ax',t21_numbers) ).
fof(f2660,axiom,
k3_numbers != k1_numbers,
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+35.ax',t22_numbers) ).
fof(f2661,axiom,
k3_numbers != k2_numbers,
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+35.ax',t23_numbers) ).
fof(f2662,axiom,
k4_numbers != k3_numbers,
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+35.ax',t24_numbers) ).
fof(f2663,axiom,
k4_numbers != k1_numbers,
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+35.ax',t25_numbers) ).
fof(f2664,axiom,
k4_numbers != k2_numbers,
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+35.ax',t26_numbers) ).
fof(f2665,axiom,
k5_numbers != k4_numbers,
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+35.ax',t27_numbers) ).
fof(f2666,axiom,
k5_numbers != k3_numbers,
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+35.ax',t28_numbers) ).
fof(f2667,axiom,
k5_numbers != k1_numbers,
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+35.ax',t29_numbers) ).
fof(f2668,axiom,
k5_numbers != k2_numbers,
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+35.ax',t30_numbers) ).
fof(f2673,axiom,
m1_subset_1(k5_numbers,k1_zfmisc_1(k1_numbers)),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+35.ax',dt_k5_numbers) ).
fof(f2677,axiom,
! [X0] :
( v4_ordinal2(X0)
=> v1_xreal_0(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+40.ax',cc1_xreal_0) ).
fof(f2678,axiom,
! [X0] :
( v1_xreal_0(X0)
=> v1_xcmplx_0(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+40.ax',cc2_xreal_0) ).
fof(f2679,axiom,
? [X0] :
( v1_xreal_0(X0)
& v1_xcmplx_0(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+40.ax',rc1_xreal_0) ).
fof(f2682,axiom,
! [X0,X1] :
( ( v1_xreal_0(X1)
& v1_xreal_0(X0) )
=> ( v1_xreal_0(k2_xcmplx_0(X0,X1))
& v1_xcmplx_0(k2_xcmplx_0(X0,X1)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+40.ax',fc3_xreal_0) ).
fof(f2719,axiom,
! [X0] :
( v1_xreal_0(X0)
<=> r2_hidden(X0,k1_numbers) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+40.ax',d1_xreal_0) ).
fof(f2723,axiom,
! [X0,X1] :
( ( v1_xreal_0(X1)
& v1_xreal_0(X0) )
=> r1_xreal_0(X0,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+40.ax',reflexivity_r1_xreal_0) ).
fof(f2724,axiom,
! [X0,X1] :
( ( v1_xreal_0(X1)
& v1_xreal_0(X0) )
=> ( r1_xreal_0(X1,X0)
| r1_xreal_0(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+40.ax',connectedness_r1_xreal_0) ).
fof(f2725,axiom,
? [X0] :
( v1_int_1(X0)
& v1_xreal_0(X0)
& v1_xcmplx_0(X0)
& m1_subset_1(X0,k1_numbers) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+48.ax',rc1_int_1) ).
fof(f2726,axiom,
? [X0] : v1_int_1(X0),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+48.ax',rc2_int_1) ).
fof(f2727,axiom,
! [X0] :
( m1_subset_1(X0,k4_numbers)
=> v1_int_1(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+48.ax',cc1_int_1) ).
fof(f2729,axiom,
! [X0] :
( v4_ordinal2(X0)
=> v1_int_1(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+48.ax',cc3_int_1) ).
fof(f2730,axiom,
! [X0] :
( v1_int_1(X0)
=> ( v1_xreal_0(X0)
& v1_xcmplx_0(X0) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+48.ax',cc4_int_1) ).
fof(f2731,axiom,
! [X0,X1] :
( ( v1_int_1(X1)
& v1_int_1(X0) )
=> ( v1_int_1(k2_xcmplx_0(X0,X1))
& v1_xreal_0(k2_xcmplx_0(X0,X1))
& v1_xcmplx_0(k2_xcmplx_0(X0,X1)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+48.ax',fc1_int_1) ).
fof(f2736,axiom,
! [X0,X1] :
( ( v1_int_1(X1)
& m1_subset_1(X0,k5_numbers) )
=> ( v1_int_1(k2_xcmplx_0(X1,X0))
& v1_xreal_0(k2_xcmplx_0(X1,X0))
& v1_xcmplx_0(k2_xcmplx_0(X1,X0)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+48.ax',fc6_int_1) ).
fof(f2742,axiom,
! [X0] :
( v1_int_1(X0)
<=> r2_hidden(X0,k4_numbers) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+48.ax',d2_int_1) ).
fof(f2758,axiom,
! [X0] :
( v1_int_1(X0)
=> ( r1_xreal_0(np__0,X0)
=> r2_hidden(X0,k5_numbers) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+48.ax',t16_int_1) ).
fof(f2759,axiom,
! [X0] :
( v1_xreal_0(X0)
=> ( v1_int_1(X0)
=> ( v1_int_1(k6_xcmplx_0(X0,np__1))
& v1_int_1(k2_xcmplx_0(X0,np__1)) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+48.ax',t17_int_1) ).
fof(f2761,axiom,
! [X0] :
( m2_subset_1(X0,k1_numbers,k5_numbers)
=> ! [X1] :
( v1_int_1(X1)
=> ! [X2] :
( v1_int_1(X2)
=> ( k2_xcmplx_0(X1,X0) = X2
=> r1_xreal_0(X1,X2) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+48.ax',t19_int_1) ).
fof(f2762,axiom,
! [X0] :
( v1_int_1(X0)
=> ! [X1] :
( v1_int_1(X1)
=> ( ~ r1_xreal_0(X1,X0)
=> r1_xreal_0(k2_xcmplx_0(X0,np__1),X1) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+48.ax',t20_int_1) ).
fof(f2788,axiom,
! [X0] :
( v1_xreal_0(X0)
=> ! [X1] :
( v1_int_1(X1)
=> ! [X2] :
( v1_int_1(X2)
=> ( ( r1_xreal_0(X0,X2)
& r1_xreal_0(X0,X1) )
=> ( X1 = X2
| r1_xreal_0(k2_xcmplx_0(X0,np__1),X2)
| r1_xreal_0(k2_xcmplx_0(X0,np__1),X1) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+48.ax',t45_int_1) ).
fof(f2992,axiom,
! [X0] :
( v5_membered(X0)
=> v4_membered(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+51.ax',cc1_membered) ).
fof(f2993,axiom,
! [X0] :
( v4_membered(X0)
=> v3_membered(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+51.ax',cc2_membered) ).
fof(f2994,axiom,
! [X0] :
( v3_membered(X0)
=> v2_membered(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+51.ax',cc3_membered) ).
fof(f2995,axiom,
! [X0] :
( v2_membered(X0)
=> v1_membered(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+51.ax',cc4_membered) ).
fof(f2996,axiom,
? [X0] :
( v5_membered(X0)
& v4_membered(X0)
& v3_membered(X0)
& v2_membered(X0)
& v1_membered(X0)
& ~ v1_xboole_0(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+51.ax',rc1_membered) ).
fof(f2997,axiom,
! [X0] :
( m1_subset_1(X0,k1_zfmisc_1(k2_numbers))
=> v1_membered(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+51.ax',cc5_membered) ).
fof(f2998,axiom,
! [X0] :
( m1_subset_1(X0,k1_zfmisc_1(k1_numbers))
=> ( v2_membered(X0)
& v1_membered(X0) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+51.ax',cc6_membered) ).
fof(f2999,axiom,
! [X0] :
( m1_subset_1(X0,k1_zfmisc_1(k3_numbers))
=> ( v3_membered(X0)
& v2_membered(X0)
& v1_membered(X0) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+51.ax',cc7_membered) ).
fof(f3000,axiom,
! [X0] :
( m1_subset_1(X0,k1_zfmisc_1(k4_numbers))
=> ( v4_membered(X0)
& v3_membered(X0)
& v2_membered(X0)
& v1_membered(X0) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+51.ax',cc8_membered) ).
fof(f3001,axiom,
! [X0] :
( m1_subset_1(X0,k1_zfmisc_1(k5_numbers))
=> ( v5_membered(X0)
& v4_membered(X0)
& v3_membered(X0)
& v2_membered(X0)
& v1_membered(X0) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+51.ax',cc9_membered) ).
fof(f3002,axiom,
( v1_membered(k2_numbers)
& ~ v1_xboole_0(k2_numbers) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+51.ax',fc1_membered) ).
fof(f3003,axiom,
( v2_membered(k1_numbers)
& v1_membered(k1_numbers)
& ~ v1_xboole_0(k1_numbers) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+51.ax',fc2_membered) ).
fof(f3004,axiom,
( v3_membered(k3_numbers)
& v2_membered(k3_numbers)
& v1_membered(k3_numbers)
& ~ v1_xboole_0(k3_numbers) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+51.ax',fc3_membered) ).
fof(f3005,axiom,
( v4_membered(k4_numbers)
& v3_membered(k4_numbers)
& v2_membered(k4_numbers)
& v1_membered(k4_numbers)
& ~ v1_xboole_0(k4_numbers) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+51.ax',fc4_membered) ).
fof(f3007,axiom,
! [X0] :
( v1_membered(X0)
=> ! [X1] :
( m1_subset_1(X1,X0)
=> v1_xcmplx_0(X1) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+51.ax',cc10_membered) ).
fof(f3008,axiom,
! [X0] :
( v2_membered(X0)
=> ! [X1] :
( m1_subset_1(X1,X0)
=> ( v1_xreal_0(X1)
& v1_xcmplx_0(X1) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+51.ax',cc11_membered) ).
fof(f3012,axiom,
( v5_membered(k1_xboole_0)
& v4_membered(k1_xboole_0)
& v3_membered(k1_xboole_0)
& v2_membered(k1_xboole_0)
& v1_membered(k1_xboole_0)
& v1_xboole_0(k1_xboole_0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+51.ax',fc6_membered) ).
fof(f3013,axiom,
! [X0] :
( v1_xboole_0(X0)
=> ( v5_membered(X0)
& v4_membered(X0)
& v3_membered(X0)
& v2_membered(X0)
& v1_membered(X0) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+51.ax',cc15_membered) ).
fof(f3014,axiom,
! [X0] :
( v1_xcmplx_0(X0)
=> v1_membered(k1_tarski(X0)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+51.ax',fc7_membered) ).
fof(f3015,axiom,
! [X0] :
( v1_xreal_0(X0)
=> ( v2_membered(k1_tarski(X0))
& v1_membered(k1_tarski(X0)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+51.ax',fc8_membered) ).
fof(f3017,axiom,
! [X0] :
( v1_int_1(X0)
=> ( v4_membered(k1_tarski(X0))
& v3_membered(k1_tarski(X0))
& v2_membered(k1_tarski(X0))
& v1_membered(k1_tarski(X0)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+51.ax',fc10_membered) ).
fof(f3018,axiom,
! [X0] :
( v4_ordinal2(X0)
=> ( v5_membered(k1_tarski(X0))
& v4_membered(k1_tarski(X0))
& v3_membered(k1_tarski(X0))
& v2_membered(k1_tarski(X0))
& v1_membered(k1_tarski(X0)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+51.ax',fc11_membered) ).
fof(f3019,axiom,
! [X0,X1] :
( ( v1_xcmplx_0(X1)
& v1_xcmplx_0(X0) )
=> v1_membered(k2_tarski(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+51.ax',fc12_membered) ).
fof(f3020,axiom,
! [X0,X1] :
( ( v1_xreal_0(X1)
& v1_xreal_0(X0) )
=> ( v2_membered(k2_tarski(X0,X1))
& v1_membered(k2_tarski(X0,X1)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+51.ax',fc13_membered) ).
fof(f3022,axiom,
! [X0,X1] :
( ( v1_int_1(X1)
& v1_int_1(X0) )
=> ( v4_membered(k2_tarski(X0,X1))
& v3_membered(k2_tarski(X0,X1))
& v2_membered(k2_tarski(X0,X1))
& v1_membered(k2_tarski(X0,X1)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+51.ax',fc15_membered) ).
fof(f3023,axiom,
! [X0,X1] :
( ( v4_ordinal2(X1)
& v4_ordinal2(X0) )
=> ( v5_membered(k2_tarski(X0,X1))
& v4_membered(k2_tarski(X0,X1))
& v3_membered(k2_tarski(X0,X1))
& v2_membered(k2_tarski(X0,X1))
& v1_membered(k2_tarski(X0,X1)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+51.ax',fc16_membered) ).
fof(f3024,axiom,
! [X0,X1,X2] :
( ( v1_xcmplx_0(X2)
& v1_xcmplx_0(X1)
& v1_xcmplx_0(X0) )
=> v1_membered(k1_enumset1(X0,X1,X2)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+51.ax',fc17_membered) ).
fof(f3025,axiom,
! [X0,X1,X2] :
( ( v1_xreal_0(X2)
& v1_xreal_0(X1)
& v1_xreal_0(X0) )
=> ( v2_membered(k1_enumset1(X0,X1,X2))
& v1_membered(k1_enumset1(X0,X1,X2)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+51.ax',fc18_membered) ).
fof(f3027,axiom,
! [X0,X1,X2] :
( ( v1_int_1(X2)
& v1_int_1(X1)
& v1_int_1(X0) )
=> ( v4_membered(k1_enumset1(X0,X1,X2))
& v3_membered(k1_enumset1(X0,X1,X2))
& v2_membered(k1_enumset1(X0,X1,X2))
& v1_membered(k1_enumset1(X0,X1,X2)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+51.ax',fc20_membered) ).
fof(f3028,axiom,
! [X0,X1,X2] :
( ( v4_ordinal2(X2)
& v4_ordinal2(X1)
& v4_ordinal2(X0) )
=> ( v5_membered(k1_enumset1(X0,X1,X2))
& v4_membered(k1_enumset1(X0,X1,X2))
& v3_membered(k1_enumset1(X0,X1,X2))
& v2_membered(k1_enumset1(X0,X1,X2))
& v1_membered(k1_enumset1(X0,X1,X2)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+51.ax',fc21_membered) ).
fof(f3030,axiom,
! [X0] :
( v2_membered(X0)
=> ! [X1] :
( m1_subset_1(X1,k1_zfmisc_1(X0))
=> ( v2_membered(X1)
& v1_membered(X1) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+51.ax',cc17_membered) ).
fof(f3031,axiom,
! [X0] :
( v3_membered(X0)
=> ! [X1] :
( m1_subset_1(X1,k1_zfmisc_1(X0))
=> ( v3_membered(X1)
& v2_membered(X1)
& v1_membered(X1) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+51.ax',cc18_membered) ).
fof(f3032,axiom,
! [X0] :
( v4_membered(X0)
=> ! [X1] :
( m1_subset_1(X1,k1_zfmisc_1(X0))
=> ( v4_membered(X1)
& v3_membered(X1)
& v2_membered(X1)
& v1_membered(X1) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+51.ax',cc19_membered) ).
fof(f3033,axiom,
! [X0] :
( v5_membered(X0)
=> ! [X1] :
( m1_subset_1(X1,k1_zfmisc_1(X0))
=> ( v5_membered(X1)
& v4_membered(X1)
& v3_membered(X1)
& v2_membered(X1)
& v1_membered(X1) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+51.ax',cc20_membered) ).
fof(f3034,axiom,
! [X0,X1] :
( ( v1_membered(X1)
& v1_membered(X0) )
=> v1_membered(k2_xboole_0(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+51.ax',fc22_membered) ).
fof(f3035,axiom,
! [X0,X1] :
( ( v2_membered(X1)
& v2_membered(X0) )
=> ( v2_membered(k2_xboole_0(X0,X1))
& v1_membered(k2_xboole_0(X0,X1)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+51.ax',fc23_membered) ).
fof(f3036,axiom,
! [X0,X1] :
( ( v3_membered(X1)
& v3_membered(X0) )
=> ( v3_membered(k2_xboole_0(X0,X1))
& v2_membered(k2_xboole_0(X0,X1))
& v1_membered(k2_xboole_0(X0,X1)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+51.ax',fc24_membered) ).
fof(f3037,axiom,
! [X0,X1] :
( ( v4_membered(X1)
& v4_membered(X0) )
=> ( v4_membered(k2_xboole_0(X0,X1))
& v3_membered(k2_xboole_0(X0,X1))
& v2_membered(k2_xboole_0(X0,X1))
& v1_membered(k2_xboole_0(X0,X1)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+51.ax',fc25_membered) ).
fof(f3038,axiom,
! [X0,X1] :
( ( v5_membered(X1)
& v5_membered(X0) )
=> ( v5_membered(k2_xboole_0(X0,X1))
& v4_membered(k2_xboole_0(X0,X1))
& v3_membered(k2_xboole_0(X0,X1))
& v2_membered(k2_xboole_0(X0,X1))
& v1_membered(k2_xboole_0(X0,X1)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+51.ax',fc26_membered) ).
fof(f3040,axiom,
! [X0,X1] :
( v1_membered(X0)
=> v1_membered(k3_xboole_0(X1,X0)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+51.ax',fc28_membered) ).
fof(f3042,axiom,
! [X0,X1] :
( v2_membered(X0)
=> ( v2_membered(k3_xboole_0(X1,X0))
& v1_membered(k3_xboole_0(X1,X0)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+51.ax',fc30_membered) ).
fof(f3044,axiom,
! [X0,X1] :
( v3_membered(X0)
=> ( v3_membered(k3_xboole_0(X1,X0))
& v2_membered(k3_xboole_0(X1,X0))
& v1_membered(k3_xboole_0(X1,X0)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+51.ax',fc32_membered) ).
fof(f3046,axiom,
! [X0,X1] :
( v4_membered(X0)
=> ( v4_membered(k3_xboole_0(X1,X0))
& v3_membered(k3_xboole_0(X1,X0))
& v2_membered(k3_xboole_0(X1,X0))
& v1_membered(k3_xboole_0(X1,X0)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+51.ax',fc34_membered) ).
fof(f3048,axiom,
! [X0,X1] :
( v5_membered(X0)
=> ( v5_membered(k3_xboole_0(X1,X0))
& v4_membered(k3_xboole_0(X1,X0))
& v3_membered(k3_xboole_0(X1,X0))
& v2_membered(k3_xboole_0(X1,X0))
& v1_membered(k3_xboole_0(X1,X0)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+51.ax',fc36_membered) ).
fof(f3049,axiom,
! [X0,X1] :
( v1_membered(X0)
=> v1_membered(k4_xboole_0(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+51.ax',fc37_membered) ).
fof(f3050,axiom,
! [X0,X1] :
( v2_membered(X0)
=> ( v2_membered(k4_xboole_0(X0,X1))
& v1_membered(k4_xboole_0(X0,X1)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+51.ax',fc38_membered) ).
fof(f3051,axiom,
! [X0,X1] :
( v3_membered(X0)
=> ( v3_membered(k4_xboole_0(X0,X1))
& v2_membered(k4_xboole_0(X0,X1))
& v1_membered(k4_xboole_0(X0,X1)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+51.ax',fc39_membered) ).
fof(f3052,axiom,
! [X0,X1] :
( v4_membered(X0)
=> ( v4_membered(k4_xboole_0(X0,X1))
& v3_membered(k4_xboole_0(X0,X1))
& v2_membered(k4_xboole_0(X0,X1))
& v1_membered(k4_xboole_0(X0,X1)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+51.ax',fc40_membered) ).
fof(f3053,axiom,
! [X0,X1] :
( v5_membered(X0)
=> ( v5_membered(k4_xboole_0(X0,X1))
& v4_membered(k4_xboole_0(X0,X1))
& v3_membered(k4_xboole_0(X0,X1))
& v2_membered(k4_xboole_0(X0,X1))
& v1_membered(k4_xboole_0(X0,X1)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+51.ax',fc41_membered) ).
fof(f3054,axiom,
! [X0,X1] :
( ( v1_membered(X1)
& v1_membered(X0) )
=> v1_membered(k5_xboole_0(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+51.ax',fc42_membered) ).
fof(f3055,axiom,
! [X0,X1] :
( ( v2_membered(X1)
& v2_membered(X0) )
=> ( v2_membered(k5_xboole_0(X0,X1))
& v1_membered(k5_xboole_0(X0,X1)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+51.ax',fc43_membered) ).
fof(f3056,axiom,
! [X0,X1] :
( ( v3_membered(X1)
& v3_membered(X0) )
=> ( v3_membered(k5_xboole_0(X0,X1))
& v2_membered(k5_xboole_0(X0,X1))
& v1_membered(k5_xboole_0(X0,X1)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+51.ax',fc44_membered) ).
fof(f3057,axiom,
! [X0,X1] :
( ( v4_membered(X1)
& v4_membered(X0) )
=> ( v4_membered(k5_xboole_0(X0,X1))
& v3_membered(k5_xboole_0(X0,X1))
& v2_membered(k5_xboole_0(X0,X1))
& v1_membered(k5_xboole_0(X0,X1)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+51.ax',fc45_membered) ).
fof(f3058,axiom,
! [X0,X1] :
( ( v5_membered(X1)
& v5_membered(X0) )
=> ( v5_membered(k5_xboole_0(X0,X1))
& v4_membered(k5_xboole_0(X0,X1))
& v3_membered(k5_xboole_0(X0,X1))
& v2_membered(k5_xboole_0(X0,X1))
& v1_membered(k5_xboole_0(X0,X1)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+51.ax',fc46_membered) ).
fof(f3059,axiom,
! [X0] :
( v1_membered(X0)
<=> ! [X1] :
( r2_hidden(X1,X0)
=> v1_xcmplx_0(X1) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+51.ax',d1_membered) ).
fof(f3060,axiom,
! [X0] :
( v2_membered(X0)
<=> ! [X1] :
( r2_hidden(X1,X0)
=> v1_xreal_0(X1) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+51.ax',d2_membered) ).
fof(f3062,axiom,
! [X0] :
( v4_membered(X0)
<=> ! [X1] :
( r2_hidden(X1,X0)
=> v1_int_1(X1) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+51.ax',d4_membered) ).
fof(f3063,axiom,
! [X0] :
( v5_membered(X0)
<=> ! [X1] :
( r2_hidden(X1,X0)
=> v4_ordinal2(X1) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+51.ax',d5_membered) ).
fof(f3064,axiom,
! [X0] :
( v1_membered(X0)
=> r1_tarski(X0,k2_numbers) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+51.ax',t1_membered) ).
fof(f3065,axiom,
! [X0] :
( v2_membered(X0)
=> r1_tarski(X0,k1_numbers) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+51.ax',t2_membered) ).
fof(f3066,axiom,
! [X0] :
( v3_membered(X0)
=> r1_tarski(X0,k3_numbers) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+51.ax',t3_membered) ).
fof(f3067,axiom,
! [X0] :
( v4_membered(X0)
=> r1_tarski(X0,k4_numbers) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+51.ax',t4_membered) ).
fof(f3068,axiom,
! [X0] :
( v5_membered(X0)
=> r1_tarski(X0,k5_numbers) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+51.ax',t5_membered) ).
fof(f3069,axiom,
! [X0] :
( ( v1_membered(X0)
& ~ v1_xboole_0(X0) )
=> ? [X1] :
( r2_hidden(X1,X0)
& v1_xcmplx_0(X1) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+51.ax',t6_membered) ).
fof(f3070,axiom,
! [X0] :
( ( v2_membered(X0)
& ~ v1_xboole_0(X0) )
=> ? [X1] :
( r2_hidden(X1,X0)
& v1_xreal_0(X1) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+51.ax',t7_membered) ).
fof(f3072,axiom,
! [X0] :
( ( v4_membered(X0)
& ~ v1_xboole_0(X0) )
=> ? [X1] :
( r2_hidden(X1,X0)
& v1_int_1(X1) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+51.ax',t9_membered) ).
fof(f3073,axiom,
! [X0] :
( ( v5_membered(X0)
& ~ v1_xboole_0(X0) )
=> ? [X1] :
( r2_hidden(X1,X0)
& v4_ordinal2(X1) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+51.ax',t10_membered) ).
fof(f3074,axiom,
! [X0] :
( v1_membered(X0)
=> ( ! [X1] :
( v1_xcmplx_0(X1)
=> r2_hidden(X1,X0) )
=> X0 = k2_numbers ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+51.ax',t11_membered) ).
fof(f3075,axiom,
! [X0] :
( v2_membered(X0)
=> ( ! [X1] :
( v1_xreal_0(X1)
=> r2_hidden(X1,X0) )
=> X0 = k1_numbers ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+51.ax',t12_membered) ).
fof(f3077,axiom,
! [X0] :
( v4_membered(X0)
=> ( ! [X1] :
( v1_int_1(X1)
=> r2_hidden(X1,X0) )
=> X0 = k4_numbers ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+51.ax',t14_membered) ).
fof(f3078,axiom,
! [X0] :
( v5_membered(X0)
=> ( ! [X1] :
( v4_ordinal2(X1)
=> r2_hidden(X1,X0) )
=> X0 = k5_numbers ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+51.ax',t15_membered) ).
fof(f3079,axiom,
! [X0,X1] :
( v1_membered(X1)
=> ( r1_tarski(X0,X1)
=> v1_membered(X0) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+51.ax',t16_membered) ).
fof(f3080,axiom,
! [X0,X1] :
( v2_membered(X1)
=> ( r1_tarski(X0,X1)
=> v2_membered(X0) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+51.ax',t17_membered) ).
fof(f3081,axiom,
! [X0,X1] :
( v3_membered(X1)
=> ( r1_tarski(X0,X1)
=> v3_membered(X0) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+51.ax',t18_membered) ).
fof(f3082,axiom,
! [X0,X1] :
( v4_membered(X1)
=> ( r1_tarski(X0,X1)
=> v4_membered(X0) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+51.ax',t19_membered) ).
fof(f3083,axiom,
! [X0,X1] :
( v5_membered(X1)
=> ( r1_tarski(X0,X1)
=> v5_membered(X0) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+51.ax',t20_membered) ).
fof(f3084,axiom,
! [X0] :
( v1_membered(X0)
=> ! [X1] :
( v1_membered(X1)
=> ( r1_tarski(X0,X1)
<=> ! [X2] :
( v1_xcmplx_0(X2)
=> ( r2_hidden(X2,X0)
=> r2_hidden(X2,X1) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+51.ax',d6_membered) ).
fof(f3085,axiom,
! [X0] :
( v2_membered(X0)
=> ! [X1] :
( v2_membered(X1)
=> ( r1_tarski(X0,X1)
<=> ! [X2] :
( v1_xreal_0(X2)
=> ( r2_hidden(X2,X0)
=> r2_hidden(X2,X1) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+51.ax',d7_membered) ).
fof(f3087,axiom,
! [X0] :
( v4_membered(X0)
=> ! [X1] :
( v4_membered(X1)
=> ( r1_tarski(X0,X1)
<=> ! [X2] :
( v1_int_1(X2)
=> ( r2_hidden(X2,X0)
=> r2_hidden(X2,X1) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+51.ax',d9_membered) ).
fof(f3088,axiom,
! [X0] :
( v5_membered(X0)
=> ! [X1] :
( v5_membered(X1)
=> ( r1_tarski(X0,X1)
<=> ! [X2] :
( v4_ordinal2(X2)
=> ( r2_hidden(X2,X0)
=> r2_hidden(X2,X1) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+51.ax',d10_membered) ).
fof(f3089,axiom,
! [X0] :
( v1_membered(X0)
=> ! [X1] :
( v1_membered(X1)
=> ( X0 = X1
<=> ! [X2] :
( v1_xcmplx_0(X2)
=> ( r2_hidden(X2,X0)
<=> r2_hidden(X2,X1) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+51.ax',d11_membered) ).
fof(f3090,axiom,
! [X0] :
( v2_membered(X0)
=> ! [X1] :
( v2_membered(X1)
=> ( X0 = X1
<=> ! [X2] :
( v1_xreal_0(X2)
=> ( r2_hidden(X2,X0)
<=> r2_hidden(X2,X1) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+51.ax',d12_membered) ).
fof(f3092,axiom,
! [X0] :
( v4_membered(X0)
=> ! [X1] :
( v4_membered(X1)
=> ( X0 = X1
<=> ! [X2] :
( v1_int_1(X2)
=> ( r2_hidden(X2,X0)
<=> r2_hidden(X2,X1) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+51.ax',d14_membered) ).
fof(f3093,axiom,
! [X0] :
( v5_membered(X0)
=> ! [X1] :
( v5_membered(X1)
=> ( X0 = X1
<=> ! [X2] :
( v4_ordinal2(X2)
=> ( r2_hidden(X2,X0)
<=> r2_hidden(X2,X1) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+51.ax',d15_membered) ).
fof(f3094,axiom,
! [X0] :
( v1_membered(X0)
=> ! [X1] :
( v1_membered(X1)
=> ( r1_xboole_0(X0,X1)
<=> ! [X2] :
( v1_xcmplx_0(X2)
=> ~ ( r2_hidden(X2,X1)
& r2_hidden(X2,X0) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+51.ax',d16_membered) ).
fof(f3095,axiom,
! [X0] :
( v2_membered(X0)
=> ! [X1] :
( v2_membered(X1)
=> ( r1_xboole_0(X0,X1)
<=> ! [X2] :
( v1_xreal_0(X2)
=> ~ ( r2_hidden(X2,X1)
& r2_hidden(X2,X0) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+51.ax',d17_membered) ).
fof(f3097,axiom,
! [X0] :
( v4_membered(X0)
=> ! [X1] :
( v4_membered(X1)
=> ( r1_xboole_0(X0,X1)
<=> ! [X2] :
( v1_int_1(X2)
=> ~ ( r2_hidden(X2,X1)
& r2_hidden(X2,X0) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+51.ax',d19_membered) ).
fof(f3098,axiom,
! [X0] :
( v5_membered(X0)
=> ! [X1] :
( v5_membered(X1)
=> ( r1_xboole_0(X0,X1)
<=> ! [X2] :
( v4_ordinal2(X2)
=> ~ ( r2_hidden(X2,X1)
& r2_hidden(X2,X0) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+51.ax',d20_membered) ).
fof(f3099,axiom,
! [X0] :
( ! [X1] :
( r2_hidden(X1,X0)
=> v1_membered(X1) )
=> v1_membered(k3_tarski(X0)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+51.ax',t21_membered) ).
fof(f3100,axiom,
! [X0] :
( ! [X1] :
( r2_hidden(X1,X0)
=> v2_membered(X1) )
=> v2_membered(k3_tarski(X0)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+51.ax',t22_membered) ).
fof(f3101,axiom,
! [X0] :
( ! [X1] :
( r2_hidden(X1,X0)
=> v3_membered(X1) )
=> v3_membered(k3_tarski(X0)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+51.ax',t23_membered) ).
fof(f3102,axiom,
! [X0] :
( ! [X1] :
( r2_hidden(X1,X0)
=> v4_membered(X1) )
=> v4_membered(k3_tarski(X0)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+51.ax',t24_membered) ).
fof(f3103,axiom,
! [X0] :
( ! [X1] :
( r2_hidden(X1,X0)
=> v5_membered(X1) )
=> v5_membered(k3_tarski(X0)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+51.ax',t25_membered) ).
fof(f3104,axiom,
! [X0,X1] :
( ( v1_membered(X1)
& r2_hidden(X1,X0) )
=> v1_membered(k1_setfam_1(X0)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+51.ax',t26_membered) ).
fof(f3105,axiom,
! [X0,X1] :
( ( v2_membered(X1)
& r2_hidden(X1,X0) )
=> v2_membered(k1_setfam_1(X0)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+51.ax',t27_membered) ).
fof(f3106,axiom,
! [X0,X1] :
( ( v3_membered(X1)
& r2_hidden(X1,X0) )
=> v3_membered(k1_setfam_1(X0)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+51.ax',t28_membered) ).
fof(f3107,axiom,
! [X0,X1] :
( ( v4_membered(X1)
& r2_hidden(X1,X0) )
=> v4_membered(k1_setfam_1(X0)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+51.ax',t29_membered) ).
fof(f3108,axiom,
! [X0,X1] :
( ( v5_membered(X1)
& r2_hidden(X1,X0) )
=> v5_membered(k1_setfam_1(X0)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+51.ax',t30_membered) ).
fof(f3121,axiom,
! [X0] :
( v1_card_1(X0)
<=> ? [X1] :
( ! [X2] :
( v3_ordinal1(X2)
=> ( r2_wellord2(X2,X1)
=> r1_ordinal1(X1,X2) ) )
& X0 = X1
& v3_ordinal1(X1) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+54.ax',d1_card_1) ).
fof(f3125,axiom,
! [X0] :
? [X1] :
( r2_wellord2(X0,X1)
& v3_ordinal1(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+54.ax',t4_card_1) ).
fof(f3129,axiom,
! [X0] :
( v1_card_1(X0)
=> ! [X1] :
( v1_card_1(X1)
=> ( X0 = X1
<=> r2_wellord2(X0,X1) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+54.ax',t8_card_1) ).
fof(f3139,axiom,
! [X0,X1] :
( v1_card_1(X1)
=> ( X1 = k1_card_1(X0)
<=> r2_wellord2(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+54.ax',d5_card_1) ).
fof(f3146,axiom,
! [X0,X1] :
( r2_wellord2(X0,X1)
<=> k1_card_1(X0) = k1_card_1(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+54.ax',t21_card_1) ).
fof(f3151,axiom,
! [X0,X1] :
( r1_tarski(k1_card_1(X0),k1_card_1(X1))
<=> ? [X2] :
( r1_tarski(k2_relat_1(X2),X1)
& k1_relat_1(X2) = X0
& v2_funct_1(X2)
& v1_funct_1(X2)
& v1_relat_1(X2) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+54.ax',t26_card_1) ).
fof(f3152,axiom,
! [X0,X1] :
( r1_tarski(X0,X1)
=> r1_tarski(k1_card_1(X0),k1_card_1(X1)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+54.ax',t27_card_1) ).
fof(f3153,axiom,
! [X0,X1] :
( r1_tarski(k1_card_1(X0),k1_card_1(X1))
<=> ? [X2] :
( r1_tarski(X0,k2_relat_1(X2))
& k1_relat_1(X2) = X1
& v1_funct_1(X2)
& v1_relat_1(X2) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+54.ax',t28_card_1) ).
fof(f3154,axiom,
! [X0] : ~ r2_wellord2(X0,k1_zfmisc_1(X0)),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+54.ax',t29_card_1) ).
fof(f3155,axiom,
! [X0] : r2_hidden(k1_card_1(X0),k1_card_1(k1_zfmisc_1(X0))),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+54.ax',t30_card_1) ).
fof(f3172,axiom,
! [X0,X1,X2] :
( ( r2_wellord2(X0,X2)
& r1_tarski(X1,X2)
& r1_tarski(X0,X1) )
=> ( r2_wellord2(X1,X2)
& r2_wellord2(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+54.ax',t44_card_1) ).
fof(f3173,axiom,
! [X0,X1] :
( r1_tarski(k1_zfmisc_1(X0),X1)
=> ( ~ r2_wellord2(X0,X1)
& r2_hidden(k1_card_1(X0),k1_card_1(X1)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+54.ax',t45_card_1) ).
fof(f3174,axiom,
! [X0] :
( r2_wellord2(X0,k1_xboole_0)
<=> X0 = k1_xboole_0 ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+54.ax',t46_card_1) ).
fof(f3175,axiom,
k1_card_1(k1_xboole_0) = k1_xboole_0,
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+54.ax',t47_card_1) ).
fof(f3176,axiom,
! [X0,X1] :
( r2_wellord2(X0,k1_tarski(X1))
<=> ? [X2] : X0 = k1_tarski(X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+54.ax',t48_card_1) ).
fof(f3177,axiom,
! [X0,X1] :
( k1_card_1(X0) = k1_card_1(k1_tarski(X1))
<=> ? [X2] : X0 = k1_tarski(X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+54.ax',t49_card_1) ).
fof(f3179,axiom,
np__0 = k1_xboole_0,
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+54.ax',t51_card_1) ).
fof(f3180,axiom,
! [X0] :
( m2_subset_1(X0,k1_numbers,k5_numbers)
=> k1_ordinal1(X0) = k1_nat_1(X0,np__1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+54.ax',t52_card_1) ).
fof(f3186,axiom,
! [X0,X1,X2,X3] :
( ( r2_wellord2(X1,X3)
& r2_wellord2(X0,X2)
& r1_xboole_0(X2,X3)
& r1_xboole_0(X0,X1) )
=> r2_wellord2(k2_xboole_0(X0,X1),k2_xboole_0(X2,X3)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+54.ax',t58_card_1) ).
fof(f3187,axiom,
! [X0,X1,X2] :
( ( r2_hidden(X2,X1)
& r2_hidden(X0,X1) )
=> r2_wellord2(k4_xboole_0(X1,k1_tarski(X0)),k4_xboole_0(X1,k1_tarski(X2))) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+54.ax',t59_card_1) ).
fof(f3188,axiom,
! [X0,X1] :
( ( v1_funct_1(X1)
& v1_relat_1(X1) )
=> ( ( v2_funct_1(X1)
& r1_tarski(X0,k1_relat_1(X1)) )
=> r2_wellord2(X0,k9_relat_1(X1,X0)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+54.ax',t60_card_1) ).
fof(f3189,axiom,
! [X0,X1,X2,X3] :
( ( r2_hidden(X3,X1)
& r2_hidden(X2,X0)
& r2_wellord2(X0,X1) )
=> r2_wellord2(k4_xboole_0(X0,k1_tarski(X2)),k4_xboole_0(X1,k1_tarski(X3))) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+54.ax',t61_card_1) ).
fof(f3192,axiom,
! [X0] :
( m2_subset_1(X0,k1_numbers,k5_numbers)
=> ! [X1] :
( m2_subset_1(X1,k1_numbers,k5_numbers)
=> ( r2_wellord2(X0,X1)
=> X0 = X1 ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+54.ax',t64_card_1) ).
fof(f3194,axiom,
! [X0] :
( m2_subset_1(X0,k1_numbers,k5_numbers)
=> X0 = k1_card_1(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+54.ax',t66_card_1) ).
fof(f3196,axiom,
! [X0,X1] :
( ( v1_finset_1(X0)
& r2_wellord2(X0,X1) )
=> v1_finset_1(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+54.ax',t68_card_1) ).
fof(f3197,axiom,
! [X0] :
( m2_subset_1(X0,k1_numbers,k5_numbers)
=> ( v1_finset_1(k1_card_1(X0))
& v1_finset_1(X0) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+54.ax',t69_card_1) ).
fof(f3200,axiom,
! [X0] :
( m2_subset_1(X0,k1_numbers,k5_numbers)
=> ! [X1] :
( m2_subset_1(X1,k1_numbers,k5_numbers)
=> ( r1_tarski(k1_card_1(X0),k1_card_1(X1))
<=> r1_xreal_0(X0,X1) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+54.ax',t72_card_1) ).
fof(f3201,axiom,
! [X0] :
( m2_subset_1(X0,k1_numbers,k5_numbers)
=> ! [X1] :
( m2_subset_1(X1,k1_numbers,k5_numbers)
=> ( r2_hidden(k1_card_1(X0),k1_card_1(X1))
<=> ~ r1_xreal_0(X1,X0) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+54.ax',t73_card_1) ).
fof(f3202,axiom,
! [X0] :
~ ( ! [X1] :
( m2_subset_1(X1,k1_numbers,k5_numbers)
=> ~ r2_wellord2(X0,X1) )
& v1_finset_1(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+54.ax',t74_card_1) ).
fof(f3225,axiom,
? [X0] :
( v1_finseq_1(X0)
& v1_funct_1(X0)
& v1_relat_1(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+55.ax',rc1_finseq_1) ).
fof(f3227,axiom,
! [X0] :
( ( v1_finseq_1(X0)
& v1_funct_1(X0)
& v1_relat_1(X0) )
=> ( v1_finset_1(X0)
& v1_funct_1(X0)
& v1_relat_1(X0) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+55.ax',cc1_finseq_1) ).
fof(f3229,axiom,
! [X0] :
? [X1] :
( v1_finseq_1(X1)
& v1_finset_1(X1)
& v1_funct_1(X1)
& v1_relat_1(X1)
& m1_relset_1(X1,k5_numbers,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+55.ax',rc2_finseq_1) ).
fof(f3230,axiom,
? [X0] :
( v1_finseq_1(X0)
& v1_finset_1(X0)
& v2_funct_1(X0)
& v1_funct_1(X0)
& v1_relat_1(X0)
& v1_xboole_0(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+55.ax',rc3_finseq_1) ).
fof(f3241,axiom,
? [X0] :
( v1_finset_1(X0)
& v2_funct_1(X0)
& v1_funct_1(X0)
& v1_relat_1(X0)
& v1_xboole_0(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+55.ax',rc6_finseq_1) ).
fof(f3242,axiom,
? [X0] :
( v1_finset_1(X0)
& v1_funct_1(X0)
& v1_relat_1(X0)
& ~ v1_xboole_0(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+55.ax',rc7_finseq_1) ).
fof(f3243,axiom,
! [X0] :
( ( v1_finset_1(X0)
& v1_relat_1(X0) )
=> v1_finset_1(k2_relat_1(X0)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+55.ax',fc11_finseq_1) ).
fof(f3245,axiom,
? [X0] :
( v1_finseq_1(X0)
& v1_finset_1(X0)
& v1_funct_1(X0)
& v1_relat_1(X0)
& ~ v1_xboole_0(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+55.ax',rc8_finseq_1) ).
fof(f3246,axiom,
! [X0,X1] :
( ( v1_finseq_1(X1)
& v1_funct_1(X1)
& v1_relat_1(X1)
& ~ v1_xboole_0(X1)
& v1_finseq_1(X0)
& v1_funct_1(X0)
& v1_relat_1(X0) )
=> ( v1_finseq_1(k7_finseq_1(X0,X1))
& v1_finset_1(k7_finseq_1(X0,X1))
& v1_funct_1(k7_finseq_1(X0,X1))
& v1_relat_1(k7_finseq_1(X0,X1))
& ~ v1_xboole_0(k7_finseq_1(X0,X1)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+55.ax',fc13_finseq_1) ).
fof(f3247,axiom,
! [X0,X1] :
( ( v1_finseq_1(X1)
& v1_funct_1(X1)
& v1_relat_1(X1)
& ~ v1_xboole_0(X1)
& v1_finseq_1(X0)
& v1_funct_1(X0)
& v1_relat_1(X0) )
=> ( v1_finseq_1(k7_finseq_1(X1,X0))
& v1_finset_1(k7_finseq_1(X1,X0))
& v1_funct_1(k7_finseq_1(X1,X0))
& v1_relat_1(k7_finseq_1(X1,X0))
& ~ v1_xboole_0(k7_finseq_1(X1,X0)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+55.ax',fc14_finseq_1) ).
fof(f3251,axiom,
! [X0,X1] :
( ( v1_finset_1(X0)
& v1_funct_1(X0)
& v1_relat_1(X0) )
=> v1_finset_1(k10_relat_1(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+55.ax',fc18_finseq_1) ).
fof(f3254,axiom,
! [X0] :
( v4_ordinal2(X0)
=> ! [X1] :
( v4_ordinal2(X1)
=> ( r2_hidden(X0,k2_finseq_1(X1))
<=> ( r1_xreal_0(X0,X1)
& r1_xreal_0(np__1,X0) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+55.ax',t3_finseq_1) ).
fof(f3256,axiom,
! [X0] :
( v4_ordinal2(X0)
=> ( r2_hidden(X0,k2_finseq_1(X0))
| X0 = np__0 ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+55.ax',t5_finseq_1) ).
fof(f3257,axiom,
! [X0] :
( v4_ordinal2(X0)
=> r2_hidden(k2_xcmplx_0(X0,np__1),k2_finseq_1(k2_xcmplx_0(X0,np__1))) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+55.ax',t6_finseq_1) ).
fof(f3258,axiom,
! [X0] :
( v4_ordinal2(X0)
=> ! [X1] :
( v4_ordinal2(X1)
=> ( r1_xreal_0(X0,X1)
<=> r1_tarski(k2_finseq_1(X0),k2_finseq_1(X1)) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+55.ax',t7_finseq_1) ).
fof(f3259,axiom,
! [X0] :
( v4_ordinal2(X0)
=> ! [X1] :
( v4_ordinal2(X1)
=> ( k2_finseq_1(X0) = k2_finseq_1(X1)
=> X0 = X1 ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+55.ax',t8_finseq_1) ).
fof(f3260,axiom,
! [X0] :
( v4_ordinal2(X0)
=> ! [X1] :
( v4_ordinal2(X1)
=> ( r1_xreal_0(X0,X1)
=> k2_finseq_1(X0) = k5_subset_1(k5_numbers,k2_finseq_1(X1),k2_finseq_1(X0)) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+55.ax',t9_finseq_1) ).
fof(f3261,axiom,
! [X0] :
( v4_ordinal2(X0)
=> ! [X1] :
( v4_ordinal2(X1)
=> ( k2_finseq_1(X0) = k5_subset_1(k5_numbers,k2_finseq_1(X0),k2_finseq_1(X1))
=> r1_xreal_0(X0,X1) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+55.ax',t10_finseq_1) ).
fof(f3262,axiom,
! [X0] :
( v4_ordinal2(X0)
=> k2_xboole_0(k2_finseq_1(X0),k1_tarski(k2_xcmplx_0(X0,np__1))) = k2_finseq_1(k2_xcmplx_0(X0,np__1)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+55.ax',t11_finseq_1) ).
fof(f3263,axiom,
! [X0] :
( v4_ordinal2(X0)
=> k2_finseq_1(X0) = k4_xboole_0(k2_finseq_1(k2_xcmplx_0(X0,np__1)),k1_tarski(k2_xcmplx_0(X0,np__1))) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+55.ax',t12_finseq_1) ).
fof(f3264,axiom,
! [X0] :
( v1_relat_1(X0)
=> ( v1_finseq_1(X0)
<=> ? [X1] :
( k1_relat_1(X0) = k2_finseq_1(X1)
& m2_subset_1(X1,k1_numbers,k5_numbers) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+55.ax',d2_finseq_1) ).
fof(f3265,axiom,
! [X0] :
( ( v1_finseq_1(X0)
& v1_funct_1(X0)
& v1_relat_1(X0) )
=> ! [X1] :
( m2_subset_1(X1,k1_numbers,k5_numbers)
=> ( X1 = k3_finseq_1(X0)
<=> k2_finseq_1(X1) = k1_relat_1(X0) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+55.ax',d3_finseq_1) ).
fof(f3267,axiom,
( v1_finseq_1(k1_xboole_0)
& v1_funct_1(k1_xboole_0)
& v1_relat_1(k1_xboole_0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+55.ax',t14_finseq_1) ).
fof(f3268,axiom,
! [X0] :
( ( v1_funct_1(X0)
& v1_relat_1(X0) )
=> ~ ( ! [X1] :
( ( v1_finseq_1(X1)
& v1_funct_1(X1)
& v1_relat_1(X1) )
=> ~ r1_tarski(X0,X1) )
& ? [X1] :
( r1_tarski(k1_relat_1(X0),k2_finseq_1(X1))
& m2_subset_1(X1,k1_numbers,k5_numbers) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+55.ax',t15_finseq_1) ).
fof(f3269,axiom,
! [X0,X1] :
( ( v1_finseq_1(X1)
& v1_funct_1(X1)
& v1_relat_1(X1) )
=> ~ ( ! [X2] :
( m2_subset_1(X2,k1_numbers,k5_numbers)
=> ~ ( X0 = k4_tarski(X2,k1_funct_1(X1,X2))
& r2_hidden(X2,k4_finseq_1(X1)) ) )
& r2_hidden(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+55.ax',t16_finseq_1) ).
fof(f3270,axiom,
! [X0] :
( ( v1_finseq_1(X0)
& v1_funct_1(X0)
& v1_relat_1(X0) )
=> ! [X1] :
( ( v1_finseq_1(X1)
& v1_funct_1(X1)
& v1_relat_1(X1) )
=> ( ( ! [X2] :
( m2_subset_1(X2,k1_numbers,k5_numbers)
=> ( r2_hidden(X2,k4_finseq_1(X0))
=> k1_funct_1(X0,X2) = k1_funct_1(X1,X2) ) )
& k4_finseq_1(X0) = k4_finseq_1(X1) )
=> X0 = X1 ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+55.ax',t17_finseq_1) ).
fof(f3271,axiom,
! [X0] :
( ( v1_finseq_1(X0)
& v1_funct_1(X0)
& v1_relat_1(X0) )
=> ! [X1] :
( ( v1_finseq_1(X1)
& v1_funct_1(X1)
& v1_relat_1(X1) )
=> ( ( ! [X2] :
( m2_subset_1(X2,k1_numbers,k5_numbers)
=> ( ( r1_xreal_0(X2,k3_finseq_1(X0))
& r1_xreal_0(np__1,X2) )
=> k1_funct_1(X0,X2) = k1_funct_1(X1,X2) ) )
& k3_finseq_1(X0) = k3_finseq_1(X1) )
=> X0 = X1 ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+55.ax',t18_finseq_1) ).
fof(f3272,axiom,
! [X0] :
( v4_ordinal2(X0)
=> ! [X1] :
( ( v1_finseq_1(X1)
& v1_funct_1(X1)
& v1_relat_1(X1) )
=> ( v1_finseq_1(k7_relat_1(X1,k2_finseq_1(X0)))
& v1_funct_1(k7_relat_1(X1,k2_finseq_1(X0)))
& v1_relat_1(k7_relat_1(X1,k2_finseq_1(X0))) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+55.ax',t19_finseq_1) ).
fof(f3273,axiom,
! [X0] :
( ( v1_funct_1(X0)
& v1_relat_1(X0) )
=> ! [X1] :
( ( v1_finseq_1(X1)
& v1_funct_1(X1)
& v1_relat_1(X1) )
=> ( r1_tarski(k2_relat_1(X1),k1_relat_1(X0))
=> ( v1_finseq_1(k5_relat_1(X1,X0))
& v1_funct_1(k5_relat_1(X1,X0))
& v1_relat_1(k5_relat_1(X1,X0)) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+55.ax',t20_finseq_1) ).
fof(f3274,axiom,
! [X0] :
( v4_ordinal2(X0)
=> ! [X1] :
( ( v1_finseq_1(X1)
& v1_funct_1(X1)
& v1_relat_1(X1) )
=> ! [X2] :
( ( v1_finseq_1(X2)
& v1_funct_1(X2)
& v1_relat_1(X2) )
=> ( ( X2 = k7_relat_1(X1,k2_finseq_1(X0))
& r1_xreal_0(X0,k3_finseq_1(X1)) )
=> ( k4_finseq_1(X2) = k2_finseq_1(X0)
& k3_finseq_1(X2) = X0 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+55.ax',t21_finseq_1) ).
fof(f3277,axiom,
! [X0] :
( v4_ordinal2(X0)
=> ! [X1,X2] :
( m2_finseq_1(X2,X1)
=> m2_finseq_1(k7_relat_1(X2,k2_finseq_1(X0)),X1) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+55.ax',t23_finseq_1) ).
fof(f3278,axiom,
! [X0] :
( v4_ordinal2(X0)
=> ! [X1] :
( ~ v1_xboole_0(X1)
=> ? [X2] :
( k3_finseq_1(X2) = X0
& m2_finseq_1(X2,X1) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+55.ax',t24_finseq_1) ).
fof(f3279,axiom,
! [X0] :
( ( v1_finseq_1(X0)
& v1_funct_1(X0)
& v1_relat_1(X0) )
=> ( k3_finseq_1(X0) = np__0
<=> X0 = k1_xboole_0 ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+55.ax',t25_finseq_1) ).
fof(f3280,axiom,
! [X0] :
( ( v1_finseq_1(X0)
& v1_funct_1(X0)
& v1_relat_1(X0) )
=> ( X0 = k1_xboole_0
<=> k4_finseq_1(X0) = k1_xboole_0 ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+55.ax',t26_finseq_1) ).
fof(f3283,axiom,
! [X0] : m2_finseq_1(k1_xboole_0,X0),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+55.ax',t29_finseq_1) ).
fof(f3289,axiom,
! [X0] :
( ( v1_finseq_1(X0)
& v1_funct_1(X0)
& v1_relat_1(X0) )
=> ! [X1] :
( ( v1_finseq_1(X1)
& v1_funct_1(X1)
& v1_relat_1(X1) )
=> ! [X2] :
( ( v1_finseq_1(X2)
& v1_funct_1(X2)
& v1_relat_1(X2) )
=> ( X2 = k7_finseq_1(X0,X1)
<=> ( ! [X3] :
( m2_subset_1(X3,k1_numbers,k5_numbers)
=> ( r2_hidden(X3,k4_finseq_1(X1))
=> k1_funct_1(X2,k1_nat_1(k3_finseq_1(X0),X3)) = k1_funct_1(X1,X3) ) )
& ! [X3] :
( m2_subset_1(X3,k1_numbers,k5_numbers)
=> ( r2_hidden(X3,k4_finseq_1(X0))
=> k1_funct_1(X2,X3) = k1_funct_1(X0,X3) ) )
& k4_finseq_1(X2) = k2_finseq_1(k1_nat_1(k3_finseq_1(X0),k3_finseq_1(X1))) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+55.ax',d7_finseq_1) ).
fof(f3290,axiom,
! [X0] :
( ( v1_finseq_1(X0)
& v1_funct_1(X0)
& v1_relat_1(X0) )
=> ! [X1] :
( ( v1_finseq_1(X1)
& v1_funct_1(X1)
& v1_relat_1(X1) )
=> X0 = k7_relat_1(k7_finseq_1(X0,X1),k4_finseq_1(X0)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+55.ax',t33_finseq_1) ).
fof(f3292,axiom,
! [X0] :
( ( v1_finseq_1(X0)
& v1_funct_1(X0)
& v1_relat_1(X0) )
=> ! [X1] :
( ( v1_finseq_1(X1)
& v1_funct_1(X1)
& v1_relat_1(X1) )
=> k3_finseq_1(k7_finseq_1(X0,X1)) = k1_nat_1(k3_finseq_1(X0),k3_finseq_1(X1)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+55.ax',t35_finseq_1) ).
fof(f3293,axiom,
! [X0] :
( ( v1_finseq_1(X0)
& v1_funct_1(X0)
& v1_relat_1(X0) )
=> ! [X1] :
( ( v1_finseq_1(X1)
& v1_funct_1(X1)
& v1_relat_1(X1) )
=> ! [X2] :
( v4_ordinal2(X2)
=> ( ( r1_xreal_0(X2,k1_nat_1(k3_finseq_1(X0),k3_finseq_1(X1)))
& r1_xreal_0(k1_nat_1(k3_finseq_1(X0),np__1),X2) )
=> k1_funct_1(k7_finseq_1(X0,X1),X2) = k1_funct_1(X1,k6_xcmplx_0(X2,k3_finseq_1(X0))) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+55.ax',t36_finseq_1) ).
fof(f3294,axiom,
! [X0] :
( ( v1_finseq_1(X0)
& v1_funct_1(X0)
& v1_relat_1(X0) )
=> ! [X1] :
( ( v1_finseq_1(X1)
& v1_funct_1(X1)
& v1_relat_1(X1) )
=> ! [X2] :
( v4_ordinal2(X2)
=> ( r1_xreal_0(X2,k3_finseq_1(k7_finseq_1(X0,X1)))
=> ( k1_funct_1(k7_finseq_1(X0,X1),X2) = k1_funct_1(X1,k6_xcmplx_0(X2,k3_finseq_1(X0)))
| r1_xreal_0(X2,k3_finseq_1(X0)) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+55.ax',t37_finseq_1) ).
fof(f3295,axiom,
! [X0] :
( ( v1_finseq_1(X0)
& v1_funct_1(X0)
& v1_relat_1(X0) )
=> ! [X1] :
( ( v1_finseq_1(X1)
& v1_funct_1(X1)
& v1_relat_1(X1) )
=> ! [X2] :
( m2_subset_1(X2,k1_numbers,k5_numbers)
=> ~ ( ! [X3] :
( m2_subset_1(X3,k1_numbers,k5_numbers)
=> ~ ( X2 = k1_nat_1(k3_finseq_1(X0),X3)
& r2_hidden(X3,k4_finseq_1(X1)) ) )
& ~ r2_hidden(X2,k4_finseq_1(X0))
& r2_hidden(X2,k4_finseq_1(k7_finseq_1(X0,X1))) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+55.ax',t38_finseq_1) ).
fof(f3296,axiom,
! [X0] :
( ( v1_finseq_1(X0)
& v1_funct_1(X0)
& v1_relat_1(X0) )
=> ! [X1] :
( ( v1_finseq_1(X1)
& v1_funct_1(X1)
& v1_relat_1(X1) )
=> r1_tarski(k4_finseq_1(X0),k4_finseq_1(k7_finseq_1(X0,X1))) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+55.ax',t39_finseq_1) ).
fof(f3297,axiom,
! [X0,X1] :
( ( v1_finseq_1(X1)
& v1_funct_1(X1)
& v1_relat_1(X1) )
=> ! [X2] :
( ( v1_finseq_1(X2)
& v1_funct_1(X2)
& v1_relat_1(X2) )
=> ~ ( ! [X3] :
( m2_subset_1(X3,k1_numbers,k5_numbers)
=> ~ ( r2_hidden(k1_nat_1(k3_finseq_1(X2),X3),k4_finseq_1(k7_finseq_1(X2,X1)))
& X3 = X0 ) )
& r2_hidden(X0,k4_finseq_1(X1)) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+55.ax',t40_finseq_1) ).
fof(f3298,axiom,
! [X0] :
( m2_subset_1(X0,k1_numbers,k5_numbers)
=> ! [X1] :
( ( v1_finseq_1(X1)
& v1_funct_1(X1)
& v1_relat_1(X1) )
=> ! [X2] :
( ( v1_finseq_1(X2)
& v1_funct_1(X2)
& v1_relat_1(X2) )
=> ( r2_hidden(X0,k4_finseq_1(X1))
=> r2_hidden(k1_nat_1(k3_finseq_1(X2),X0),k4_finseq_1(k7_finseq_1(X2,X1))) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+55.ax',t41_finseq_1) ).
fof(f3299,axiom,
! [X0] :
( ( v1_finseq_1(X0)
& v1_funct_1(X0)
& v1_relat_1(X0) )
=> ! [X1] :
( ( v1_finseq_1(X1)
& v1_funct_1(X1)
& v1_relat_1(X1) )
=> r1_tarski(k2_relat_1(X0),k2_relat_1(k7_finseq_1(X0,X1))) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+55.ax',t42_finseq_1) ).
fof(f3300,axiom,
! [X0] :
( ( v1_finseq_1(X0)
& v1_funct_1(X0)
& v1_relat_1(X0) )
=> ! [X1] :
( ( v1_finseq_1(X1)
& v1_funct_1(X1)
& v1_relat_1(X1) )
=> r1_tarski(k2_relat_1(X0),k2_relat_1(k7_finseq_1(X1,X0))) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+55.ax',t43_finseq_1) ).
fof(f3301,axiom,
! [X0] :
( ( v1_finseq_1(X0)
& v1_funct_1(X0)
& v1_relat_1(X0) )
=> ! [X1] :
( ( v1_finseq_1(X1)
& v1_funct_1(X1)
& v1_relat_1(X1) )
=> k2_relat_1(k7_finseq_1(X0,X1)) = k2_xboole_0(k2_relat_1(X0),k2_relat_1(X1)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+55.ax',t44_finseq_1) ).
fof(f3302,axiom,
! [X0] :
( ( v1_finseq_1(X0)
& v1_funct_1(X0)
& v1_relat_1(X0) )
=> ! [X1] :
( ( v1_finseq_1(X1)
& v1_funct_1(X1)
& v1_relat_1(X1) )
=> ! [X2] :
( ( v1_finseq_1(X2)
& v1_funct_1(X2)
& v1_relat_1(X2) )
=> k7_finseq_1(k7_finseq_1(X0,X1),X2) = k7_finseq_1(X0,k7_finseq_1(X1,X2)) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+55.ax',t45_finseq_1) ).
fof(f3303,axiom,
! [X0] :
( ( v1_finseq_1(X0)
& v1_funct_1(X0)
& v1_relat_1(X0) )
=> ! [X1] :
( ( v1_finseq_1(X1)
& v1_funct_1(X1)
& v1_relat_1(X1) )
=> ! [X2] :
( ( v1_finseq_1(X2)
& v1_funct_1(X2)
& v1_relat_1(X2) )
=> ( ( k7_finseq_1(X1,X0) = k7_finseq_1(X1,X2)
| k7_finseq_1(X0,X1) = k7_finseq_1(X2,X1) )
=> X0 = X2 ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+55.ax',t46_finseq_1) ).
fof(f3304,axiom,
! [X0] :
( ( v1_finseq_1(X0)
& v1_funct_1(X0)
& v1_relat_1(X0) )
=> ( k7_finseq_1(k1_xboole_0,X0) = X0
& k7_finseq_1(X0,k1_xboole_0) = X0 ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+55.ax',t47_finseq_1) ).
fof(f3305,axiom,
! [X0] :
( ( v1_finseq_1(X0)
& v1_funct_1(X0)
& v1_relat_1(X0) )
=> ! [X1] :
( ( v1_finseq_1(X1)
& v1_funct_1(X1)
& v1_relat_1(X1) )
=> ( k7_finseq_1(X0,X1) = k1_xboole_0
=> ( X1 = k1_xboole_0
& X0 = k1_xboole_0 ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+55.ax',t48_finseq_1) ).
fof(f3308,axiom,
! [X0] :
( ( v1_finseq_1(X0)
& v1_funct_1(X0)
& v1_relat_1(X0) )
=> ! [X1] :
( ( v1_finseq_1(X1)
& v1_funct_1(X1)
& v1_relat_1(X1) )
=> ! [X2] :
( m2_finseq_1(k7_finseq_1(X0,X1),X2)
=> ( m2_finseq_1(X1,X2)
& m2_finseq_1(X0,X2) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+55.ax',t50_finseq_1) ).
fof(f3315,axiom,
! [X0,X1] :
( ( v1_finseq_1(X1)
& v1_funct_1(X1)
& v1_relat_1(X1) )
=> ( X1 = k9_finseq_1(X0)
<=> ( k2_relat_1(X1) = k1_tarski(X0)
& k4_finseq_1(X1) = k2_finseq_1(np__1) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+55.ax',t55_finseq_1) ).
fof(f3319,axiom,
! [X0,X1] :
( ( v1_finseq_1(X1)
& v1_funct_1(X1)
& v1_relat_1(X1) )
=> k1_funct_1(k7_finseq_1(X1,k9_finseq_1(X0)),k1_nat_1(k3_finseq_1(X1),np__1)) = X0 ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+55.ax',t59_finseq_1) ).
fof(f3324,axiom,
! [X0] :
( ( v1_finseq_1(X0)
& v1_funct_1(X0)
& v1_relat_1(X0) )
=> ! [X1] :
( ( v1_finseq_1(X1)
& v1_funct_1(X1)
& v1_relat_1(X1) )
=> ! [X2] :
( ( v1_finseq_1(X2)
& v1_funct_1(X2)
& v1_relat_1(X2) )
=> ! [X3] :
( ( v1_finseq_1(X3)
& v1_funct_1(X3)
& v1_relat_1(X3) )
=> ~ ( ! [X4] :
( ( v1_finseq_1(X4)
& v1_funct_1(X4)
& v1_relat_1(X4) )
=> k7_finseq_1(X0,X4) != X2 )
& r1_xreal_0(k3_finseq_1(X0),k3_finseq_1(X2))
& k7_finseq_1(X0,X1) = k7_finseq_1(X2,X3) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+55.ax',t64_finseq_1) ).
fof(f3326,axiom,
! [X0] :
( ( v1_finseq_1(X0)
& v1_funct_1(X0)
& v1_relat_1(X0) )
=> ! [X1] :
( ( v1_finseq_1(X1)
& v1_funct_1(X1)
& v1_relat_1(X1) )
=> ( ( v2_funct_1(X1)
& v2_funct_1(X0)
& k2_relat_1(X0) = k2_relat_1(X1) )
=> k3_finseq_1(X0) = k3_finseq_1(X1) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+55.ax',t65_finseq_1) ).
fof(f3337,axiom,
! [X0] :
( v1_finset_1(X0)
<=> ? [X1] :
( X0 = k2_relat_1(X1)
& v1_finseq_1(X1)
& v1_funct_1(X1)
& v1_relat_1(X1) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+55.ax',t73_finseq_1) ).
fof(f3338,axiom,
! [X0] :
( m2_subset_1(X0,k1_numbers,k5_numbers)
=> ! [X1] :
( m2_subset_1(X1,k1_numbers,k5_numbers)
=> ( r2_wellord2(k2_finseq_1(X0),k2_finseq_1(X1))
=> X0 = X1 ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+55.ax',t74_finseq_1) ).
fof(f3339,axiom,
! [X0] :
( m2_subset_1(X0,k1_numbers,k5_numbers)
=> r2_wellord2(k2_finseq_1(X0),X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+55.ax',t75_finseq_1) ).
fof(f3340,axiom,
! [X0] :
( m2_subset_1(X0,k1_numbers,k5_numbers)
=> k1_card_1(k2_finseq_1(X0)) = k1_card_1(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+55.ax',t76_finseq_1) ).
fof(f3341,axiom,
! [X0] :
~ ( ! [X1] :
( m2_subset_1(X1,k1_numbers,k5_numbers)
=> ~ r2_wellord2(X0,k2_finseq_1(X1)) )
& v1_finset_1(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+55.ax',t77_finseq_1) ).
fof(f3346,axiom,
! [X0] :
( m2_subset_1(X0,k1_numbers,k5_numbers)
=> ! [X1] :
( v4_ordinal2(X1)
=> ! [X2] :
( v4_ordinal2(X2)
=> ( r2_hidden(X1,k2_finseq_1(X0))
=> r2_hidden(k2_xcmplx_0(X1,X2),k2_finseq_1(k2_xcmplx_0(X0,X2))) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+55.ax',t81_finseq_1) ).
fof(f3347,axiom,
! [X0] :
( m2_subset_1(X0,k1_numbers,k5_numbers)
=> ! [X1] :
( v4_ordinal2(X1)
=> ! [X2] :
( v4_ordinal2(X2)
=> ( r2_hidden(k2_xcmplx_0(X1,X2),k2_finseq_1(k2_xcmplx_0(X0,X2)))
=> ( ( r2_hidden(X1,k2_finseq_1(k2_xcmplx_0(X0,X2)))
& r2_hidden(X1,k2_finseq_1(X0)) )
| r1_xreal_0(X1,np__0) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+55.ax',t82_finseq_1) ).
fof(f3350,axiom,
! [X0] :
( ( v1_finseq_1(X0)
& v1_funct_1(X0)
& v1_relat_1(X0) )
=> ! [X1] :
( ( v1_finseq_1(X1)
& v1_funct_1(X1)
& v1_relat_1(X1) )
=> ( r1_tarski(X0,X1)
=> r1_xreal_0(k3_finseq_1(X0),k3_finseq_1(X1)) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+55.ax',t84_finseq_1) ).
fof(f3351,axiom,
! [X0] :
( ( v1_finseq_1(X0)
& v1_funct_1(X0)
& v1_relat_1(X0) )
=> ! [X1] :
( ( v1_finseq_1(X1)
& v1_funct_1(X1)
& v1_relat_1(X1) )
=> ! [X2] :
( m2_subset_1(X2,k1_numbers,k5_numbers)
=> ( ( r1_xreal_0(X2,k3_finseq_1(X0))
& r1_xreal_0(np__1,X2) )
=> k1_funct_1(k7_finseq_1(X0,X1),X2) = k1_funct_1(X0,X2) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+55.ax',t85_finseq_1) ).
fof(f3352,axiom,
! [X0] :
( ( v1_finseq_1(X0)
& v1_funct_1(X0)
& v1_relat_1(X0) )
=> ! [X1] :
( ( v1_finseq_1(X1)
& v1_funct_1(X1)
& v1_relat_1(X1) )
=> ! [X2] :
( m2_subset_1(X2,k1_numbers,k5_numbers)
=> ( ( r1_xreal_0(X2,k3_finseq_1(X1))
& r1_xreal_0(np__1,X2) )
=> k1_funct_1(k7_finseq_1(X0,X1),k1_nat_1(k3_finseq_1(X0),X2)) = k1_funct_1(X1,X2) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+55.ax',t86_finseq_1) ).
fof(f3360,axiom,
! [X0,X1] :
( m2_finseq_1(X1,X0)
=> ( m2_relset_1(X1,k5_numbers,X0)
& v1_finseq_1(X1)
& v1_funct_1(X1) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+55.ax',dt_m2_finseq_1) ).
fof(f3361,axiom,
! [X0] :
? [X1] : m2_finseq_1(X1,X0),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+55.ax',existence_m2_finseq_1) ).
fof(f3364,axiom,
! [X0] :
( v4_ordinal2(X0)
=> m1_subset_1(k2_finseq_1(X0),k1_zfmisc_1(k5_numbers)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+55.ax',dt_k2_finseq_1) ).
fof(f3366,axiom,
! [X0] :
( ( v1_finseq_1(X0)
& v1_funct_1(X0)
& v1_relat_1(X0) )
=> m2_subset_1(k3_finseq_1(X0),k1_numbers,k5_numbers) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+55.ax',dt_k3_finseq_1) ).
fof(f3367,axiom,
! [X0] :
( ( v1_finseq_1(X0)
& v1_funct_1(X0)
& v1_relat_1(X0) )
=> k3_finseq_1(X0) = k1_card_1(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+55.ax',redefinition_k3_finseq_1) ).
fof(f3368,axiom,
! [X0] :
( ( v1_finseq_1(X0)
& v1_funct_1(X0)
& v1_relat_1(X0) )
=> m1_subset_1(k4_finseq_1(X0),k1_zfmisc_1(k5_numbers)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+55.ax',dt_k4_finseq_1) ).
fof(f3369,axiom,
! [X0] :
( ( v1_finseq_1(X0)
& v1_funct_1(X0)
& v1_relat_1(X0) )
=> k4_finseq_1(X0) = k1_relat_1(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+55.ax',redefinition_k4_finseq_1) ).
fof(f3372,axiom,
! [X0,X1] :
( ( v1_finseq_1(X1)
& v1_funct_1(X1)
& v1_relat_1(X1)
& v1_finseq_1(X0)
& v1_funct_1(X0)
& v1_relat_1(X0) )
=> ( v1_finseq_1(k7_finseq_1(X0,X1))
& v1_funct_1(k7_finseq_1(X0,X1))
& v1_relat_1(k7_finseq_1(X0,X1)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+55.ax',dt_k7_finseq_1) ).
fof(f3390,axiom,
! [X0] :
( ~ v1_xboole_0(X0)
=> ! [X1] :
( m1_eqrel_1(X1,X0)
=> ~ v1_xboole_0(X1) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+60.ax',cc1_eqrel_1) ).
fof(f3400,axiom,
! [X0] :
( m2_relset_1(k6_partfun1(X0),X0,X0)
& v1_partfun1(k6_partfun1(X0),X0,X0)
& v8_relat_2(k6_partfun1(X0))
& v3_relat_2(k6_partfun1(X0)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+60.ax',t6_eqrel_1) ).
fof(f3405,axiom,
! [X0,X1,X2] :
( ( m2_relset_1(X2,X0,X0)
& v1_partfun1(X2,X0,X0)
& v1_relat_2(X2) )
=> ( r2_hidden(X1,X0)
=> r2_hidden(k4_tarski(X1,X1),X2) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+60.ax',t11_eqrel_1) ).
fof(f3406,axiom,
! [X0,X1,X2,X3] :
( ( m2_relset_1(X3,X0,X0)
& v1_partfun1(X3,X0,X0)
& v3_relat_2(X3) )
=> ( r2_hidden(k4_tarski(X1,X2),X3)
=> r2_hidden(k4_tarski(X2,X1),X3) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+60.ax',t12_eqrel_1) ).
fof(f3407,axiom,
! [X0,X1,X2,X3,X4] :
( ( m2_relset_1(X4,X0,X0)
& v1_partfun1(X4,X0,X0)
& v8_relat_2(X4) )
=> ( ( r2_hidden(k4_tarski(X2,X3),X4)
& r2_hidden(k4_tarski(X1,X2),X4) )
=> r2_hidden(k4_tarski(X1,X3),X4) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+60.ax',t13_eqrel_1) ).
fof(f3408,axiom,
! [X0,X1] :
( ( m2_relset_1(X1,X0,X0)
& v1_partfun1(X1,X0,X0)
& v1_relat_2(X1) )
=> ~ ( X1 = k1_xboole_0
& ? [X2] : r2_hidden(X2,X0) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+60.ax',t14_eqrel_1) ).
fof(f3410,axiom,
! [X0,X1] :
( m2_relset_1(X1,X0,X0)
=> ( ( m2_relset_1(X1,X0,X0)
& v1_partfun1(X1,X0,X0)
& v8_relat_2(X1)
& v3_relat_2(X1) )
<=> ( k3_relat_1(X1) = X0
& v8_relat_2(X1)
& v3_relat_2(X1)
& v1_relat_2(X1) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+60.ax',t16_eqrel_1) ).
fof(f3414,axiom,
! [X0,X1] :
( m2_relset_1(X1,X0,X0)
=> ? [X2] :
( ! [X3] :
( ( m2_relset_1(X3,X0,X0)
& v1_partfun1(X3,X0,X0)
& v8_relat_2(X3)
& v3_relat_2(X3) )
=> ( r1_tarski(X1,X3)
=> r1_tarski(X2,X3) ) )
& r1_tarski(X1,X2)
& m2_relset_1(X2,X0,X0)
& v1_partfun1(X2,X0,X0)
& v8_relat_2(X2)
& v3_relat_2(X2) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+60.ax',t20_eqrel_1) ).
fof(f3424,axiom,
! [X0,X1,X2,X3] :
( ( m2_relset_1(X3,X0,X0)
& v1_partfun1(X3,X0,X0)
& v3_relat_2(X3)
& v1_relat_2(X3) )
=> ( r2_hidden(X1,k6_eqrel_1(X0,X3,X2))
<=> r2_hidden(k4_tarski(X1,X2),X3) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+60.ax',t27_eqrel_1) ).
fof(f3425,axiom,
! [X0,X1] :
( ( m2_relset_1(X1,X0,X0)
& v1_partfun1(X1,X0,X0)
& v3_relat_2(X1)
& v1_relat_2(X1) )
=> ! [X2] :
( r2_hidden(X2,X0)
=> r2_hidden(X2,k6_eqrel_1(X0,X1,X2)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+60.ax',t28_eqrel_1) ).
fof(f3426,axiom,
! [X0,X1] :
( ( m2_relset_1(X1,X0,X0)
& v1_partfun1(X1,X0,X0)
& v3_relat_2(X1)
& v1_relat_2(X1) )
=> ! [X2] :
~ ( ! [X3] : ~ r2_hidden(X2,k6_eqrel_1(X0,X1,X3))
& r2_hidden(X2,X0) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+60.ax',t29_eqrel_1) ).
fof(f3427,axiom,
! [X0,X1,X2,X3,X4] :
( ( m2_relset_1(X4,X0,X0)
& v1_partfun1(X4,X0,X0)
& v8_relat_2(X4)
& v3_relat_2(X4)
& v1_relat_2(X4) )
=> ( ( r2_hidden(X3,k6_eqrel_1(X0,X4,X2))
& r2_hidden(X1,k6_eqrel_1(X0,X4,X2)) )
=> r2_hidden(k4_tarski(X1,X3),X4) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+60.ax',t30_eqrel_1) ).
fof(f3428,axiom,
! [X0,X1,X2] :
( ( m2_relset_1(X2,X0,X0)
& v1_partfun1(X2,X0,X0)
& v8_relat_2(X2)
& v3_relat_2(X2) )
=> ! [X3] :
( r2_hidden(X3,X0)
=> ( r2_hidden(X1,k6_eqrel_1(X0,X2,X3))
<=> k6_eqrel_1(X0,X2,X3) = k6_eqrel_1(X0,X2,X1) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+60.ax',t31_eqrel_1) ).
fof(f3429,axiom,
! [X0,X1] :
( ( m2_relset_1(X1,X0,X0)
& v1_partfun1(X1,X0,X0)
& v8_relat_2(X1)
& v3_relat_2(X1) )
=> ! [X2,X3] :
~ ( ~ r1_xboole_0(k6_eqrel_1(X0,X1,X2),k6_eqrel_1(X0,X1,X3))
& k6_eqrel_1(X0,X1,X2) != k6_eqrel_1(X0,X1,X3)
& r2_hidden(X3,X0)
& r2_hidden(X2,X0) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+60.ax',t32_eqrel_1) ).
fof(f3430,axiom,
! [X0,X1] :
( r2_hidden(X1,X0)
=> k6_eqrel_1(X0,k6_partfun1(X0),X1) = k1_tarski(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+60.ax',t33_eqrel_1) ).
fof(f3443,axiom,
! [X0,X1,X2] :
( ( m2_relset_1(X2,X0,X0)
& v1_partfun1(X2,X0,X0)
& v8_relat_2(X2)
& v3_relat_2(X2) )
=> ! [X3] :
( r2_hidden(X3,X0)
=> ( r2_hidden(k4_tarski(X3,X1),X2)
<=> k6_eqrel_1(X0,X2,X3) = k6_eqrel_1(X0,X2,X1) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+60.ax',t44_eqrel_1) ).
fof(f3446,axiom,
! [X0,X1] :
( m1_eqrel_1(X1,X0)
=> m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(X0))) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+60.ax',dt_m1_eqrel_1) ).
fof(f3447,axiom,
! [X0] :
? [X1] : m1_eqrel_1(X1,X0),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+60.ax',existence_m1_eqrel_1) ).
fof(f3464,axiom,
! [X0,X1,X2] :
( ( m1_relset_1(X1,X0,X0)
& v1_partfun1(X1,X0,X0)
& v3_relat_2(X1)
& v1_relat_2(X1) )
=> m1_subset_1(k6_eqrel_1(X0,X1,X2),k1_zfmisc_1(X0)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+60.ax',dt_k6_eqrel_1) ).
fof(f3466,axiom,
! [X0,X1] :
( ( m1_relset_1(X1,X0,X0)
& v1_partfun1(X1,X0,X0)
& v8_relat_2(X1)
& v3_relat_2(X1) )
=> m1_eqrel_1(k8_eqrel_1(X0,X1),X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+60.ax',dt_k8_eqrel_1) ).
fof(f3538,axiom,
! [X0,X1] :
( k1_card_1(X0) = k1_card_1(k1_funct_2(k1_tarski(X1),X0))
& r2_wellord2(X0,k1_funct_2(k1_tarski(X1),X0)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+61.ax',t65_funct_5) ).
fof(f3540,axiom,
! [X0,X1,X2,X3] :
( ( r2_wellord2(X2,X3)
& r2_wellord2(X0,X1) )
=> ( k1_card_1(k1_funct_2(X0,X2)) = k1_card_1(k1_funct_2(X1,X3))
& r2_wellord2(k1_funct_2(X0,X2),k1_funct_2(X1,X3)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+61.ax',t67_funct_5) ).
fof(f3542,axiom,
! [X0,X1,X2] :
( r1_xboole_0(X0,X1)
=> ( k1_card_1(k1_funct_2(k2_xboole_0(X0,X1),X2)) = k1_card_1(k2_zfmisc_1(k1_funct_2(X0,X2),k1_funct_2(X1,X2)))
& r2_wellord2(k1_funct_2(k2_xboole_0(X0,X1),X2),k2_zfmisc_1(k1_funct_2(X0,X2),k1_funct_2(X1,X2))) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+61.ax',t69_funct_5) ).
fof(f3543,axiom,
! [X0,X1,X2] :
( k1_card_1(k1_funct_2(k2_zfmisc_1(X0,X1),X2)) = k1_card_1(k1_funct_2(X0,k1_funct_2(X1,X2)))
& r2_wellord2(k1_funct_2(k2_zfmisc_1(X0,X1),X2),k1_funct_2(X0,k1_funct_2(X1,X2))) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+61.ax',t70_funct_5) ).
fof(f3544,axiom,
! [X0,X1,X2] :
( k1_card_1(k1_funct_2(X0,k2_zfmisc_1(X1,X2))) = k1_card_1(k2_zfmisc_1(k1_funct_2(X0,X1),k1_funct_2(X0,X2)))
& r2_wellord2(k1_funct_2(X0,k2_zfmisc_1(X1,X2)),k2_zfmisc_1(k1_funct_2(X0,X1),k1_funct_2(X0,X2))) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+61.ax',t71_funct_5) ).
fof(f3545,axiom,
! [X0,X1,X2] :
( X0 != X1
=> ( k1_card_1(k1_funct_2(X2,k2_tarski(X0,X1))) = k1_card_1(k1_zfmisc_1(X2))
& r2_wellord2(k1_funct_2(X2,k2_tarski(X0,X1)),k1_zfmisc_1(X2)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+61.ax',t72_funct_5) ).
fof(f3546,axiom,
! [X0,X1,X2] :
( X0 != X1
=> ( k1_card_1(k1_funct_2(k2_tarski(X0,X1),X2)) = k1_card_1(k2_zfmisc_1(X2,X2))
& r2_wellord2(k1_funct_2(k2_tarski(X0,X1),X2),k2_zfmisc_1(X2,X2)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+61.ax',t73_funct_5) ).
fof(f3694,axiom,
! [X0] :
( ~ v1_xboole_0(X0)
=> ! [X1,X2] :
( m1_subset_1(X2,X0)
=> r1_tarski(k2_zfmisc_1(k1_tarski(X2),X1),k2_zfmisc_1(X0,X1)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+76.ax',t1_qc_lang1) ).
fof(f3695,axiom,
! [X0] :
( ~ v1_xboole_0(X0)
=> ! [X1,X2] :
( m1_subset_1(X2,X0)
=> ! [X3] :
( m1_subset_1(X3,X0)
=> ! [X4] :
( m1_subset_1(X4,X0)
=> r1_tarski(k2_zfmisc_1(k1_enumset1(X2,X3,X4),X1),k2_zfmisc_1(X0,X1)) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+76.ax',t2_qc_lang1) ).
fof(f3896,axiom,
! [X0] :
( m1_subset_1(X0,k8_qc_lang1)
=> ! [X1] :
( m1_subset_1(X1,k8_qc_lang1)
=> ( r2_qc_lang2(X0,X1)
<=> ? [X2] :
( ? [X3] :
( ! [X4] :
( m2_subset_1(X4,k1_numbers,k5_numbers)
=> ~ ( ! [X5] :
( m1_subset_1(X5,k8_qc_lang1)
=> ! [X6] :
( m1_subset_1(X6,k8_qc_lang1)
=> ~ ( r1_qc_lang2(X5,X6)
& k1_funct_1(X3,k1_nat_1(X4,np__1)) = X6
& k1_funct_1(X3,X4) = X5 ) ) )
& ~ r1_xreal_0(X2,X4)
& r1_xreal_0(np__1,X4) ) )
& k1_funct_1(X3,X2) = X1
& k1_funct_1(X3,np__1) = X0
& k3_finseq_1(X3) = X2
& r1_xreal_0(np__1,X2)
& v1_finseq_1(X3)
& v1_funct_1(X3)
& v1_relat_1(X3) )
& m2_subset_1(X2,k1_numbers,k5_numbers) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+77.ax',d21_qc_lang2) ).
fof(f4062,axiom,
! [X0,X1] :
( v1_relat_1(X0)
=> v1_relat_1(k1_realset1(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+117.ax',fc1_realset1) ).
fof(f4063,axiom,
! [X0,X1] :
( ( v1_funct_1(X0)
& v1_relat_1(X0) )
=> ( v1_funct_1(k1_realset1(X0,X1))
& v1_relat_1(k1_realset1(X0,X1)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+117.ax',fc2_realset1) ).
fof(f4064,axiom,
? [X0] :
( v1_realset1(X0)
& ~ v1_xboole_0(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+117.ax',rc1_realset1) ).
fof(f4065,axiom,
? [X0] :
( ~ v1_realset1(X0)
& ~ v1_xboole_0(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+117.ax',rc2_realset1) ).
fof(f4066,axiom,
! [X0] :
( ~ v1_realset1(X0)
=> ~ v1_xboole_0(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+117.ax',cc1_realset1) ).
fof(f4070,axiom,
! [X0,X1,X2] :
( ( m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
& v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
& v1_funct_1(X2) )
=> ( r2_hidden(X1,k2_zfmisc_1(X0,X0))
=> r2_hidden(k1_funct_1(X2,X1),X0) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+117.ax',t1_realset1) ).
fof(f4071,axiom,
! [X0,X1] :
( ( m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
& v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
& v1_funct_1(X1) )
=> ? [X2] :
( ! [X3] :
( r2_hidden(X3,k2_zfmisc_1(X2,X2))
=> r2_hidden(k1_funct_1(X1,X3),X2) )
& m1_subset_1(X2,k1_zfmisc_1(X0)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+117.ax',t2_realset1) ).
fof(f4074,axiom,
! [X0] :
( v1_relat_1(X0)
=> ! [X1] : k1_realset1(X0,X1) = k7_relat_1(X0,k2_zfmisc_1(X1,X1)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+117.ax',d3_realset1) ).
fof(f4076,axiom,
! [X0] :
( v1_realset1(X0)
<=> ~ ( ! [X1] : X0 != k1_tarski(X1)
& ~ v1_xboole_0(X0) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+117.ax',d4_realset1) ).
fof(f4077,axiom,
! [X0] :
( ~ v1_xboole_0(X0)
=> ( ~ v1_realset1(X0)
<=> ! [X1] : ~ v1_xboole_0(k4_xboole_0(X0,k1_tarski(X1))) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+117.ax',t4_realset1) ).
fof(f4078,axiom,
? [X0] :
( ! [X1] :
( m1_subset_1(X1,X0)
=> ~ v1_xboole_0(k4_xboole_0(X0,k1_tarski(X1))) )
& ~ v1_xboole_0(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+117.ax',t5_realset1) ).
fof(f4079,axiom,
! [X0] :
( ~ v1_xboole_0(X0)
=> ~ ( v1_realset1(X0)
& ! [X1] :
( m1_subset_1(X1,X0)
=> ~ v1_xboole_0(k4_xboole_0(X0,k1_tarski(X1))) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+117.ax',t6_realset1) ).
fof(f4080,axiom,
! [X0] :
( ~ v1_xboole_0(X0)
=> ( ! [X1] :
( m1_subset_1(X1,X0)
=> ~ v1_xboole_0(k4_xboole_0(X0,k1_tarski(X1))) )
=> ~ v1_realset1(X0) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+117.ax',t7_realset1) ).
fof(f4082,axiom,
! [X0,X1] :
( m1_subset_1(X1,k1_zfmisc_1(X0))
=> ? [X2] :
( ! [X3] :
( r2_hidden(X3,k2_zfmisc_1(X1,X1))
=> r2_hidden(k1_funct_1(X2,X3),X1) )
& m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
& v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
& v1_funct_1(X2) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+117.ax',t8_realset1) ).
fof(f4086,axiom,
! [X0,X1] :
( m1_subset_1(X1,X0)
=> ? [X2] :
( ! [X3] :
( r2_hidden(X3,k2_zfmisc_1(k4_xboole_0(X0,k1_tarski(X1)),k4_xboole_0(X0,k1_tarski(X1))))
=> r2_hidden(k1_funct_1(X2,X3),k4_xboole_0(X0,k1_tarski(X1))) )
& m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
& v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
& v1_funct_1(X2) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+117.ax',t10_realset1) ).
fof(f4087,axiom,
! [X0,X1] :
( m1_subset_1(X1,X0)
=> ! [X2] :
( ( m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
& v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
& v1_funct_1(X2) )
=> ( m3_realset1(X2,X0,X1)
<=> ! [X3] :
( r2_hidden(X3,k2_zfmisc_1(k4_xboole_0(X0,k1_tarski(X1)),k4_xboole_0(X0,k1_tarski(X1))))
=> r2_hidden(k1_funct_1(X2,X3),k4_xboole_0(X0,k1_tarski(X1))) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+117.ax',d8_realset1) ).
fof(f4088,axiom,
! [X0] :
( ~ v1_realset1(X0)
=> ! [X1] :
( m1_subset_1(X1,X0)
=> ! [X2] :
( m3_realset1(X2,X0,X1)
=> ( m2_relset_1(k1_realset1(X2,k4_xboole_0(X0,k1_tarski(X1))),k2_zfmisc_1(k4_xboole_0(X0,k1_tarski(X1)),k4_xboole_0(X0,k1_tarski(X1))),k4_xboole_0(X0,k1_tarski(X1)))
& v1_funct_2(k1_realset1(X2,k4_xboole_0(X0,k1_tarski(X1))),k2_zfmisc_1(k4_xboole_0(X0,k1_tarski(X1)),k4_xboole_0(X0,k1_tarski(X1))),k4_xboole_0(X0,k1_tarski(X1)))
& v1_funct_1(k1_realset1(X2,k4_xboole_0(X0,k1_tarski(X1)))) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+117.ax',t11_realset1) ).
fof(f4093,axiom,
! [X0] :
( ~ ( v1_realset1(X0)
& ? [X1,X2] :
( X1 != X2
& r2_hidden(X2,X0)
& r2_hidden(X1,X0) ) )
& ~ ( ! [X1,X2] :
~ ( X1 != X2
& r2_hidden(X2,X0)
& r2_hidden(X1,X0) )
& ~ v1_realset1(X0) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+117.ax',t14_realset1) ).
fof(f4094,axiom,
! [X0,X1] :
( m1_subset_1(X1,k1_zfmisc_1(X0))
=> ( ~ ( v1_realset1(X1)
& ? [X2] :
( ? [X3] :
( X2 != X3
& r2_hidden(X3,X1)
& r2_hidden(X2,X1)
& m1_subset_1(X3,X0) )
& m1_subset_1(X2,X0) ) )
& ~ ( ! [X2] :
( m1_subset_1(X2,X0)
=> ! [X3] :
( m1_subset_1(X3,X0)
=> ~ ( X2 != X3
& r2_hidden(X3,X1)
& r2_hidden(X2,X1) ) ) )
& ~ v1_realset1(X1) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+117.ax',t15_realset1) ).
fof(f4099,axiom,
! [X0,X1] :
( m1_subset_1(X1,X0)
=> ! [X2] :
( m3_realset1(X2,X0,X1)
=> ( m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
& v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
& v1_funct_1(X2) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+117.ax',dt_m3_realset1) ).
fof(f4100,axiom,
! [X0,X1] :
( m1_subset_1(X1,X0)
=> ? [X2] : m3_realset1(X2,X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+117.ax',existence_m3_realset1) ).
fof(f4109,axiom,
! [X0,X1] :
( ( m1_subset_1(X1,X0)
& ~ v1_realset1(X0) )
=> k5_realset1(X0,X1) = k1_tarski(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+117.ax',redefinition_k5_realset1) ).
fof(f4111,axiom,
! [X0] :
( v1_finset_1(X0)
<=> v1_finset_1(k1_card_1(X0)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+148.ax',t1_card_4) ).
fof(f4114,axiom,
! [X0] :
( v1_finset_1(X0)
<=> ? [X1] :
( k1_card_1(X0) = k1_card_1(X1)
& m2_subset_1(X1,k1_numbers,k5_numbers) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+148.ax',t4_card_4) ).
fof(f4115,axiom,
! [X0] :
( v3_ordinal1(X0)
=> k4_xboole_0(k1_ordinal1(X0),k1_tarski(X0)) = X0 ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+148.ax',t5_card_4) ).
fof(f4116,axiom,
! [X0] :
( m2_subset_1(X0,k1_numbers,k5_numbers)
=> ! [X1] :
( v3_ordinal1(X1)
=> ( r2_wellord2(X1,X0)
=> X1 = X0 ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+148.ax',t6_card_4) ).
fof(f4125,axiom,
~ v1_finset_1(k5_numbers),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+148.ax',t15_card_4) ).
fof(f4127,axiom,
! [X0] :
( X0 = k1_xboole_0
<=> k1_card_1(X0) = np__0 ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+148.ax',t17_card_4) ).
fof(f4145,axiom,
! [X0,X1] :
~ ( ~ ( k1_card_1(k2_xboole_0(X0,X1)) = k1_card_1(X0)
& r2_wellord2(k2_xboole_0(X0,X1),X0) )
& ( r2_wellord2(X1,X0)
| r2_wellord2(X0,X1) )
& ~ v1_finset_1(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+148.ax',t35_card_4) ).
fof(f4146,axiom,
! [X0,X1] :
( v1_finset_1(X1)
=> ( ( k1_card_1(k2_xboole_0(X0,X1)) = k1_card_1(X0)
& r2_wellord2(k2_xboole_0(X0,X1),X0) )
| v1_finset_1(X0) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+148.ax',t36_card_4) ).
fof(f4147,axiom,
! [X0,X1] :
~ ( ~ ( k1_card_1(k2_xboole_0(X0,X1)) = k1_card_1(X0)
& r2_wellord2(k2_xboole_0(X0,X1),X0) )
& ( r1_tarski(k1_card_1(X1),k1_card_1(X0))
| r2_hidden(k1_card_1(X1),k1_card_1(X0)) )
& ~ v1_finset_1(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+148.ax',t37_card_4) ).
fof(f4191,axiom,
! [X0] :
( ~ v1_finset_1(X0)
=> ( k1_card_1(k2_zfmisc_1(X0,X0)) = k1_card_1(X0)
& r2_wellord2(k2_zfmisc_1(X0,X0),X0) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+148.ax',t80_card_4) ).
fof(f4192,axiom,
! [X0,X1] :
( v1_finset_1(X1)
=> ( ( k1_card_1(k2_zfmisc_1(X0,X1)) = k1_card_1(X0)
& r2_wellord2(k2_zfmisc_1(X0,X1),X0) )
| X1 = k1_xboole_0
| v1_finset_1(X0) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+148.ax',t81_card_4) ).
fof(f4207,axiom,
! [X0,X1] :
( ( v1_finset_1(X1)
& v1_funct_1(X0)
& v1_relat_1(X0) )
=> ( v1_finset_1(k7_relat_1(X0,X1))
& v1_funct_1(k7_relat_1(X0,X1))
& v1_relat_1(k7_relat_1(X0,X1)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+165.ax',fc1_rfinseq) ).
fof(f4257,axiom,
? [X0] :
( ~ v3_struct_0(X0)
& l1_struct_0(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+200.ax',rc3_struct_0) ).
fof(f4259,axiom,
! [X0] :
( ( l1_struct_0(X0)
& ~ v3_struct_0(X0) )
=> ~ v1_xboole_0(u1_struct_0(X0)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+200.ax',fc1_struct_0) ).
fof(f4260,axiom,
! [X0] :
( ( l1_struct_0(X0)
& ~ v3_struct_0(X0) )
=> ? [X1] :
( ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+200.ax',rc5_struct_0) ).
fof(f4261,axiom,
! [X0] :
( l1_struct_0(X0)
=> ( v3_struct_0(X0)
<=> v1_xboole_0(u1_struct_0(X0)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+200.ax',d1_struct_0) ).
fof(f4266,axiom,
? [X0] : l1_struct_0(X0),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+200.ax',existence_l1_struct_0) ).
fof(f4283,axiom,
? [X0] :
( v2_cat_1(X0)
& l1_cat_1(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+202.ax',rc2_cat_1) ).
fof(f4288,axiom,
! [X0,X1,X2,X3] :
( ~ v1_xboole_0(X3)
=> ! [X4] :
( ( m2_relset_1(X4,X0,X3)
& v1_funct_2(X4,X0,X3)
& v1_funct_1(X4) )
=> ( ( r1_tarski(k2_funct_2(X0,X3,X4,X1),X2)
& r1_tarski(X1,X0) )
=> ( m2_relset_1(k2_partfun1(X0,X3,X4,X1),X1,X2)
& v1_funct_2(k2_partfun1(X0,X3,X4,X1),X1,X2)
& v1_funct_1(k2_partfun1(X0,X3,X4,X1)) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+202.ax',t4_cat_1) ).
fof(f4447,axiom,
? [X0] : l1_cat_1(X0),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+202.ax',existence_l1_cat_1) ).
fof(f4468,axiom,
! [X0] :
( l1_cat_1(X0)
=> ~ v1_xboole_0(u1_cat_1(X0)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+202.ax',dt_u1_cat_1) ).
fof(f4469,axiom,
! [X0] :
( l1_cat_1(X0)
=> ~ v1_xboole_0(u2_cat_1(X0)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+202.ax',dt_u2_cat_1) ).
fof(f4480,axiom,
? [X0] :
( v3_lattices(X0)
& l3_lattices(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+205.ax',rc3_lattices) ).
fof(f4483,axiom,
! [X0,X1,X2] :
( ( m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
& v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
& v1_funct_1(X2)
& m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
& v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
& v1_funct_1(X1)
& ~ v1_xboole_0(X0) )
=> ( v3_lattices(g3_lattices(X0,X1,X2))
& ~ v3_struct_0(g3_lattices(X0,X1,X2)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+205.ax',fc3_lattices) ).
fof(f4486,axiom,
? [X0] :
( v3_lattices(X0)
& ~ v3_struct_0(X0)
& l3_lattices(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+205.ax',rc6_lattices) ).
fof(f4487,axiom,
! [X0] :
( l3_lattices(X0)
=> ( ( v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ( v9_lattices(X0)
& v8_lattices(X0)
& v7_lattices(X0)
& v6_lattices(X0)
& v5_lattices(X0)
& v4_lattices(X0)
& ~ v3_struct_0(X0) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+205.ax',cc1_lattices) ).
fof(f4488,axiom,
! [X0] :
( l3_lattices(X0)
=> ( ( v9_lattices(X0)
& v8_lattices(X0)
& v7_lattices(X0)
& v6_lattices(X0)
& v5_lattices(X0)
& v4_lattices(X0)
& ~ v3_struct_0(X0) )
=> ( v10_lattices(X0)
& ~ v3_struct_0(X0) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+205.ax',cc2_lattices) ).
fof(f4491,axiom,
? [X0] :
( v10_lattices(X0)
& v9_lattices(X0)
& v8_lattices(X0)
& v7_lattices(X0)
& v6_lattices(X0)
& v5_lattices(X0)
& v4_lattices(X0)
& v3_lattices(X0)
& ~ v3_struct_0(X0)
& l3_lattices(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+205.ax',rc9_lattices) ).
fof(f4493,axiom,
! [X0] :
( l3_lattices(X0)
=> ( ( v14_lattices(X0)
& v13_lattices(X0)
& ~ v3_struct_0(X0) )
=> ( v15_lattices(X0)
& ~ v3_struct_0(X0) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+205.ax',cc3_lattices) ).
fof(f4494,axiom,
! [X0] :
( l3_lattices(X0)
=> ( ( v15_lattices(X0)
& ~ v3_struct_0(X0) )
=> ( v14_lattices(X0)
& v13_lattices(X0)
& ~ v3_struct_0(X0) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+205.ax',cc4_lattices) ).
fof(f4495,axiom,
? [X0] :
( v15_lattices(X0)
& v14_lattices(X0)
& v13_lattices(X0)
& v10_lattices(X0)
& v9_lattices(X0)
& v8_lattices(X0)
& v7_lattices(X0)
& v6_lattices(X0)
& v5_lattices(X0)
& v4_lattices(X0)
& v3_lattices(X0)
& ~ v3_struct_0(X0)
& l3_lattices(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+205.ax',rc11_lattices) ).
fof(f4496,axiom,
? [X0] :
( v16_lattices(X0)
& v15_lattices(X0)
& v14_lattices(X0)
& v13_lattices(X0)
& v10_lattices(X0)
& v9_lattices(X0)
& v8_lattices(X0)
& v7_lattices(X0)
& v6_lattices(X0)
& v5_lattices(X0)
& v4_lattices(X0)
& v3_lattices(X0)
& ~ v3_struct_0(X0)
& l3_lattices(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+205.ax',rc12_lattices) ).
fof(f4497,axiom,
! [X0] :
( l3_lattices(X0)
=> ( ( v17_lattices(X0)
& ~ v3_struct_0(X0) )
=> ( v16_lattices(X0)
& v15_lattices(X0)
& v14_lattices(X0)
& v13_lattices(X0)
& v11_lattices(X0)
& ~ v3_struct_0(X0) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+205.ax',cc5_lattices) ).
fof(f4498,axiom,
! [X0] :
( l3_lattices(X0)
=> ( ( v16_lattices(X0)
& v15_lattices(X0)
& v11_lattices(X0)
& ~ v3_struct_0(X0) )
=> ( v17_lattices(X0)
& ~ v3_struct_0(X0) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+205.ax',cc6_lattices) ).
fof(f4499,axiom,
? [X0] :
( v17_lattices(X0)
& v16_lattices(X0)
& v15_lattices(X0)
& v14_lattices(X0)
& v13_lattices(X0)
& v11_lattices(X0)
& v10_lattices(X0)
& v9_lattices(X0)
& v8_lattices(X0)
& v7_lattices(X0)
& v6_lattices(X0)
& v5_lattices(X0)
& v4_lattices(X0)
& v3_lattices(X0)
& ~ v3_struct_0(X0)
& l3_lattices(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+205.ax',rc13_lattices) ).
fof(f4502,axiom,
! [X0] :
( ( l1_lattices(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> k2_lattices(X0,X1,X2) = k2_binop_1(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),u1_lattices(X0),X1,X2) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+205.ax',d2_lattices) ).
fof(f4506,axiom,
! [X0] :
( ( l1_lattices(X0)
& ~ v3_struct_0(X0) )
=> ( v6_lattices(X0)
<=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> k2_lattices(X0,X1,X2) = k2_lattices(X0,X2,X1) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+205.ax',d6_lattices) ).
fof(f4507,axiom,
! [X0] :
( ( l1_lattices(X0)
& ~ v3_struct_0(X0) )
=> ( v7_lattices(X0)
<=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X0))
=> k2_lattices(X0,X1,k2_lattices(X0,X2,X3)) = k2_lattices(X0,k2_lattices(X0,X1,X2),X3) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+205.ax',d7_lattices) ).
fof(f4508,axiom,
! [X0] :
( ( l3_lattices(X0)
& ~ v3_struct_0(X0) )
=> ( v8_lattices(X0)
<=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> k1_lattices(X0,k2_lattices(X0,X1,X2),X2) = X2 ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+205.ax',d8_lattices) ).
fof(f4509,axiom,
! [X0] :
( ( l3_lattices(X0)
& ~ v3_struct_0(X0) )
=> ( v9_lattices(X0)
<=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> k2_lattices(X0,X1,k1_lattices(X0,X1,X2)) = X1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+205.ax',d9_lattices) ).
fof(f4511,axiom,
! [X0] :
( ( l3_lattices(X0)
& ~ v3_struct_0(X0) )
=> ( v11_lattices(X0)
<=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X0))
=> k2_lattices(X0,X1,k1_lattices(X0,X2,X3)) = k1_lattices(X0,k2_lattices(X0,X1,X2),k2_lattices(X0,X1,X3)) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+205.ax',d11_lattices) ).
fof(f4513,axiom,
! [X0] :
( ( l1_lattices(X0)
& ~ v3_struct_0(X0) )
=> ( v13_lattices(X0)
<=> ? [X1] :
( ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ( k2_lattices(X0,X2,X1) = X1
& k2_lattices(X0,X1,X2) = X1 ) )
& m1_subset_1(X1,u1_struct_0(X0)) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+205.ax',d13_lattices) ).
fof(f4516,axiom,
! [X0] :
( ( l1_lattices(X0)
& ~ v3_struct_0(X0) )
=> ( v13_lattices(X0)
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ( X1 = k5_lattices(X0)
<=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ( k2_lattices(X0,X2,X1) = X1
& k2_lattices(X0,X1,X2) = X1 ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+205.ax',d16_lattices) ).
fof(f4538,axiom,
! [X0] :
( ( l3_lattices(X0)
& v9_lattices(X0)
& v8_lattices(X0)
& v6_lattices(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> k4_lattices(X0,X1,X1) = X1 ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+205.ax',t18_lattices) ).
fof(f4539,axiom,
! [X0] :
( ( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ( ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X0))
=> k4_lattices(X0,X1,k3_lattices(X0,X2,X3)) = k3_lattices(X0,k4_lattices(X0,X1,X2),k4_lattices(X0,X1,X3)) ) ) )
<=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X0))
=> k3_lattices(X0,X1,k4_lattices(X0,X2,X3)) = k4_lattices(X0,k3_lattices(X0,X1,X2),k3_lattices(X0,X1,X3)) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+205.ax',t19_lattices) ).
fof(f4549,axiom,
! [X0] :
( ( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ( ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X0))
=> k3_lattices(X0,k3_lattices(X0,k4_lattices(X0,X1,X2),k4_lattices(X0,X2,X3)),k4_lattices(X0,X3,X1)) = k4_lattices(X0,k4_lattices(X0,k3_lattices(X0,X1,X2),k3_lattices(X0,X2,X3)),k3_lattices(X0,X3,X1)) ) ) )
=> v11_lattices(X0) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+205.ax',t29_lattices) ).
fof(f4551,axiom,
! [X0] :
( ( l3_lattices(X0)
& v11_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X0))
=> k3_lattices(X0,X1,k4_lattices(X0,X2,X3)) = k4_lattices(X0,k3_lattices(X0,X1,X2),k3_lattices(X0,X1,X3)) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+205.ax',t31_lattices) ).
fof(f4552,axiom,
! [X0] :
( ( l3_lattices(X0)
& v11_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X0))
=> ( ( k3_lattices(X0,X1,X2) = k3_lattices(X0,X1,X3)
& k4_lattices(X0,X1,X2) = k4_lattices(X0,X1,X3) )
=> X2 = X3 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+205.ax',t32_lattices) ).
fof(f4554,axiom,
! [X0] :
( ( l3_lattices(X0)
& v11_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X0))
=> k4_lattices(X0,k4_lattices(X0,k3_lattices(X0,X1,X2),k3_lattices(X0,X2,X3)),k3_lattices(X0,X3,X1)) = k3_lattices(X0,k3_lattices(X0,k4_lattices(X0,X1,X2),k4_lattices(X0,X2,X3)),k4_lattices(X0,X3,X1)) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+205.ax',t34_lattices) ).
fof(f4559,axiom,
! [X0] :
( ( l3_lattices(X0)
& v13_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> k3_lattices(X0,k5_lattices(X0),X1) = X1 ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+205.ax',t39_lattices) ).
fof(f4560,axiom,
! [X0] :
( ( l3_lattices(X0)
& v13_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> k4_lattices(X0,k5_lattices(X0),X1) = k5_lattices(X0) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+205.ax',t40_lattices) ).
fof(f4561,axiom,
! [X0] :
( ( l3_lattices(X0)
& v13_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> r3_lattices(X0,k5_lattices(X0),X1) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+205.ax',t41_lattices) ).
fof(f4563,axiom,
! [X0] :
( ( l3_lattices(X0)
& v14_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> k4_lattices(X0,k6_lattices(X0),X1) = X1 ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+205.ax',t43_lattices) ).
fof(f4564,axiom,
! [X0] :
( ( l3_lattices(X0)
& v14_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> k3_lattices(X0,k6_lattices(X0),X1) = k6_lattices(X0) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+205.ax',t44_lattices) ).
fof(f4565,axiom,
! [X0] :
( ( l3_lattices(X0)
& v14_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> r3_lattices(X0,X1,k6_lattices(X0)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+205.ax',t45_lattices) ).
fof(f4568,axiom,
! [X0] :
( ( l3_lattices(X0)
& v17_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> k4_lattices(X0,k7_lattices(X0,X1),X1) = k5_lattices(X0) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+205.ax',t47_lattices) ).
fof(f4569,axiom,
! [X0] :
( ( l3_lattices(X0)
& v17_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> k3_lattices(X0,k7_lattices(X0,X1),X1) = k6_lattices(X0) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+205.ax',t48_lattices) ).
fof(f4570,axiom,
! [X0] :
( ( l3_lattices(X0)
& v17_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> k7_lattices(X0,k7_lattices(X0,X1)) = X1 ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+205.ax',t49_lattices) ).
fof(f4571,axiom,
! [X0] :
( ( l3_lattices(X0)
& v17_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> k7_lattices(X0,k4_lattices(X0,X1,X2)) = k3_lattices(X0,k7_lattices(X0,X1),k7_lattices(X0,X2)) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+205.ax',t50_lattices) ).
fof(f4572,axiom,
! [X0] :
( ( l3_lattices(X0)
& v17_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> k7_lattices(X0,k3_lattices(X0,X1,X2)) = k4_lattices(X0,k7_lattices(X0,X1),k7_lattices(X0,X2)) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+205.ax',t51_lattices) ).
fof(f4573,axiom,
! [X0] :
( ( l3_lattices(X0)
& v17_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ( k4_lattices(X0,X1,X2) = k5_lattices(X0)
<=> r3_lattices(X0,X1,k7_lattices(X0,X2)) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+205.ax',t52_lattices) ).
fof(f4574,axiom,
! [X0] :
( ( l3_lattices(X0)
& v17_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ( r3_lattices(X0,X1,X2)
=> r3_lattices(X0,k7_lattices(X0,X2),k7_lattices(X0,X1)) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+205.ax',t53_lattices) ).
fof(f4575,axiom,
! [X0] :
( l1_lattices(X0)
=> l1_struct_0(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+205.ax',dt_l1_lattices) ).
fof(f4576,axiom,
? [X0] : l1_lattices(X0),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+205.ax',existence_l1_lattices) ).
fof(f4577,axiom,
! [X0] :
( l2_lattices(X0)
=> l1_struct_0(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+205.ax',dt_l2_lattices) ).
fof(f4578,axiom,
? [X0] : l2_lattices(X0),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+205.ax',existence_l2_lattices) ).
fof(f4579,axiom,
! [X0] :
( l3_lattices(X0)
=> ( l2_lattices(X0)
& l1_lattices(X0) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+205.ax',dt_l3_lattices) ).
fof(f4580,axiom,
? [X0] : l3_lattices(X0),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+205.ax',existence_l3_lattices) ).
fof(f4583,axiom,
! [X0] :
( l3_lattices(X0)
=> ( v3_lattices(X0)
=> X0 = g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+205.ax',abstractness_v3_lattices) ).
fof(f4584,axiom,
! [X0,X1,X2] :
( ( m1_subset_1(X2,u1_struct_0(X0))
& m1_subset_1(X1,u1_struct_0(X0))
& l3_lattices(X0)
& v9_lattices(X0)
& v8_lattices(X0)
& v6_lattices(X0)
& ~ v3_struct_0(X0) )
=> r3_lattices(X0,X1,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+205.ax',reflexivity_r3_lattices) ).
fof(f4587,axiom,
! [X0,X1,X2] :
( ( m1_subset_1(X2,u1_struct_0(X0))
& m1_subset_1(X1,u1_struct_0(X0))
& l1_lattices(X0)
& ~ v3_struct_0(X0) )
=> m1_subset_1(k2_lattices(X0,X1,X2),u1_struct_0(X0)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+205.ax',dt_k2_lattices) ).
fof(f4588,axiom,
! [X0,X1,X2] :
( ( m1_subset_1(X2,u1_struct_0(X0))
& m1_subset_1(X1,u1_struct_0(X0))
& l2_lattices(X0)
& v4_lattices(X0)
& ~ v3_struct_0(X0) )
=> m1_subset_1(k3_lattices(X0,X1,X2),u1_struct_0(X0)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+205.ax',dt_k3_lattices) ).
fof(f4589,axiom,
! [X0,X1,X2] :
( ( m1_subset_1(X2,u1_struct_0(X0))
& m1_subset_1(X1,u1_struct_0(X0))
& l2_lattices(X0)
& v4_lattices(X0)
& ~ v3_struct_0(X0) )
=> k3_lattices(X0,X1,X2) = k3_lattices(X0,X2,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+205.ax',commutativity_k3_lattices) ).
fof(f4591,axiom,
! [X0,X1,X2] :
( ( m1_subset_1(X2,u1_struct_0(X0))
& m1_subset_1(X1,u1_struct_0(X0))
& l1_lattices(X0)
& v6_lattices(X0)
& ~ v3_struct_0(X0) )
=> m1_subset_1(k4_lattices(X0,X1,X2),u1_struct_0(X0)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+205.ax',dt_k4_lattices) ).
fof(f4592,axiom,
! [X0,X1,X2] :
( ( m1_subset_1(X2,u1_struct_0(X0))
& m1_subset_1(X1,u1_struct_0(X0))
& l1_lattices(X0)
& v6_lattices(X0)
& ~ v3_struct_0(X0) )
=> k4_lattices(X0,X1,X2) = k4_lattices(X0,X2,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+205.ax',commutativity_k4_lattices) ).
fof(f4593,axiom,
! [X0,X1,X2] :
( ( m1_subset_1(X2,u1_struct_0(X0))
& m1_subset_1(X1,u1_struct_0(X0))
& l1_lattices(X0)
& v6_lattices(X0)
& ~ v3_struct_0(X0) )
=> k4_lattices(X0,X1,X2) = k2_lattices(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+205.ax',redefinition_k4_lattices) ).
fof(f4594,axiom,
! [X0] :
( ( l1_lattices(X0)
& ~ v3_struct_0(X0) )
=> m1_subset_1(k5_lattices(X0),u1_struct_0(X0)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+205.ax',dt_k5_lattices) ).
fof(f4595,axiom,
! [X0] :
( ( l2_lattices(X0)
& ~ v3_struct_0(X0) )
=> m1_subset_1(k6_lattices(X0),u1_struct_0(X0)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+205.ax',dt_k6_lattices) ).
fof(f4596,axiom,
! [X0,X1] :
( ( m1_subset_1(X1,u1_struct_0(X0))
& l3_lattices(X0)
& ~ v3_struct_0(X0) )
=> m1_subset_1(k7_lattices(X0,X1),u1_struct_0(X0)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+205.ax',dt_k7_lattices) ).
fof(f4597,axiom,
! [X0] :
( l1_lattices(X0)
=> ( m2_relset_1(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& v1_funct_2(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& v1_funct_1(u1_lattices(X0)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+205.ax',dt_u1_lattices) ).
fof(f4598,axiom,
! [X0] :
( l2_lattices(X0)
=> ( m2_relset_1(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& v1_funct_2(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& v1_funct_1(u2_lattices(X0)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+205.ax',dt_u2_lattices) ).
fof(f4603,axiom,
! [X0,X1,X2] :
( ( m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
& v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
& v1_funct_1(X2)
& m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
& v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
& v1_funct_1(X1) )
=> ( l3_lattices(g3_lattices(X0,X1,X2))
& v3_lattices(g3_lattices(X0,X1,X2)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+205.ax',dt_g3_lattices) ).
fof(f4604,axiom,
! [X0,X1,X2] :
( ( m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
& v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
& v1_funct_1(X2)
& m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
& v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
& v1_funct_1(X1) )
=> ! [X3,X4,X5] :
( g3_lattices(X0,X1,X2) = g3_lattices(X3,X4,X5)
=> ( X2 = X5
& X1 = X4
& X0 = X3 ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+205.ax',free_g3_lattices) ).
fof(f4605,axiom,
? [X0] :
( v1_pre_topc(X0)
& l1_pre_topc(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+206.ax',rc1_pre_topc) ).
fof(f4606,axiom,
? [X0] :
( v2_pre_topc(X0)
& v1_pre_topc(X0)
& ~ v3_struct_0(X0)
& l1_pre_topc(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+206.ax',rc2_pre_topc) ).
fof(f4607,axiom,
! [X0] :
( l1_struct_0(X0)
=> ( v5_membered(k1_pre_topc(X0))
& v4_membered(k1_pre_topc(X0))
& v3_membered(k1_pre_topc(X0))
& v2_membered(k1_pre_topc(X0))
& v1_membered(k1_pre_topc(X0))
& v1_xboole_0(k1_pre_topc(X0)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+206.ax',fc1_pre_topc) ).
fof(f4608,axiom,
! [X0] :
( ( l1_struct_0(X0)
& ~ v3_struct_0(X0) )
=> ~ v1_xboole_0(k2_pre_topc(X0)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+206.ax',fc2_pre_topc) ).
fof(f4609,axiom,
! [X0] :
( l1_pre_topc(X0)
=> ? [X1] :
( v1_pre_topc(X1)
& m1_pre_topc(X1,X0) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+206.ax',rc3_pre_topc) ).
fof(f4610,axiom,
! [X0] :
( ( l1_pre_topc(X0)
& ~ v3_struct_0(X0) )
=> ? [X1] :
( v1_pre_topc(X1)
& ~ v3_struct_0(X1)
& m1_pre_topc(X1,X0) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+206.ax',rc4_pre_topc) ).
fof(f4611,axiom,
! [X0] :
( ( l1_pre_topc(X0)
& v2_pre_topc(X0) )
=> ! [X1] :
( m1_pre_topc(X1,X0)
=> v2_pre_topc(X1) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+206.ax',cc1_pre_topc) ).
fof(f4613,axiom,
! [X0] :
( ( l1_pre_topc(X0)
& v2_pre_topc(X0) )
=> ? [X1] :
( v2_pre_topc(X1)
& v1_pre_topc(X1)
& m1_pre_topc(X1,X0) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+206.ax',rc5_pre_topc) ).
fof(f4615,axiom,
! [X0] :
( ( l1_pre_topc(X0)
& v2_pre_topc(X0) )
=> v4_pre_topc(k2_pre_topc(X0),X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+206.ax',fc5_pre_topc) ).
fof(f4616,axiom,
! [X0] :
( ( l1_pre_topc(X0)
& v2_pre_topc(X0) )
=> ? [X1] :
( v4_pre_topc(X1,X0)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+206.ax',rc6_pre_topc) ).
fof(f4617,axiom,
! [X0] :
( ( l1_pre_topc(X0)
& v2_pre_topc(X0)
& ~ v3_struct_0(X0) )
=> ? [X1] :
( v4_pre_topc(X1,X0)
& ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+206.ax',rc7_pre_topc) ).
fof(f4624,axiom,
! [X0] :
( l1_struct_0(X0)
=> k1_pre_topc(X0) = k1_xboole_0 ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+206.ax',d2_pre_topc) ).
fof(f4625,axiom,
! [X0] :
( l1_struct_0(X0)
=> k2_pre_topc(X0) = u1_struct_0(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+206.ax',d3_pre_topc) ).
fof(f4633,axiom,
! [X0] :
( ( l1_struct_0(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> r2_hidden(X1,k2_pre_topc(X0)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+206.ax',t13_pre_topc) ).
fof(f4634,axiom,
! [X0] :
( l1_struct_0(X0)
=> ! [X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
=> r1_tarski(X1,k2_pre_topc(X0)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+206.ax',t14_pre_topc) ).
fof(f4635,axiom,
! [X0] :
( l1_struct_0(X0)
=> ! [X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
=> k5_subset_1(u1_struct_0(X0),X1,k2_pre_topc(X0)) = X1 ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+206.ax',t15_pre_topc) ).
fof(f4636,axiom,
! [X0] :
( l1_struct_0(X0)
=> ! [X1] :
( r1_tarski(X1,k2_pre_topc(X0))
=> m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+206.ax',t16_pre_topc) ).
fof(f4637,axiom,
! [X0] :
( l1_struct_0(X0)
=> ! [X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
=> k3_subset_1(u1_struct_0(X0),X1) = k6_subset_1(u1_struct_0(X0),k2_pre_topc(X0),X1) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+206.ax',t17_pre_topc) ).
fof(f4638,axiom,
! [X0] :
( l1_struct_0(X0)
=> ! [X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
=> k4_subset_1(u1_struct_0(X0),X1,k3_subset_1(u1_struct_0(X0),X1)) = k2_pre_topc(X0) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+206.ax',t18_pre_topc) ).
fof(f4642,axiom,
! [X0] :
( l1_struct_0(X0)
=> ! [X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
=> k6_subset_1(u1_struct_0(X0),k2_pre_topc(X0),k6_subset_1(u1_struct_0(X0),k2_pre_topc(X0),X1)) = X1 ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+206.ax',t22_pre_topc) ).
fof(f4643,axiom,
! [X0] :
( l1_struct_0(X0)
=> ! [X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
=> ( ~ ( X1 = k2_pre_topc(X0)
& k6_subset_1(u1_struct_0(X0),k2_pre_topc(X0),X1) != k1_xboole_0 )
& ~ ( k6_subset_1(u1_struct_0(X0),k2_pre_topc(X0),X1) = k1_xboole_0
& X1 != k2_pre_topc(X0) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+206.ax',t23_pre_topc) ).
fof(f4644,axiom,
! [X0] :
( l1_struct_0(X0)
=> ! [X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
=> ( k6_subset_1(u1_struct_0(X0),k2_pre_topc(X0),X1) = X2
=> k2_pre_topc(X0) = k4_subset_1(u1_struct_0(X0),X1,X2) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+206.ax',t24_pre_topc) ).
fof(f4645,axiom,
! [X0] :
( l1_struct_0(X0)
=> ! [X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
=> ( ( r1_xboole_0(X1,X2)
& k2_pre_topc(X0) = k4_subset_1(u1_struct_0(X0),X1,X2) )
=> X2 = k6_subset_1(u1_struct_0(X0),k2_pre_topc(X0),X1) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+206.ax',t25_pre_topc) ).
fof(f4647,axiom,
! [X0] :
( l1_struct_0(X0)
=> k2_pre_topc(X0) = k3_subset_1(u1_struct_0(X0),k1_pre_topc(X0)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+206.ax',t27_pre_topc) ).
fof(f4650,axiom,
! [X0] :
( l1_pre_topc(X0)
=> ! [X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
=> ( v4_pre_topc(X1,X0)
<=> v3_pre_topc(k6_subset_1(u1_struct_0(X0),k2_pre_topc(X0),X1),X0) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+206.ax',d6_pre_topc) ).
fof(f4668,axiom,
! [X0] :
( l1_pre_topc(X0)
=> ! [X1] :
( m1_pre_topc(X1,X0)
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
=> m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0))) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+206.ax',t39_pre_topc) ).
fof(f4670,axiom,
! [X0] :
( l1_pre_topc(X0)
=> ! [X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
=> ~ ( ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ~ r2_hidden(X2,X1) )
& X1 != k1_pre_topc(X0) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+206.ax',t41_pre_topc) ).
fof(f4672,axiom,
! [X0] :
( l1_pre_topc(X0)
=> ! [X1] :
( m1_pre_topc(X1,X0)
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
=> ( v4_pre_topc(X2,X1)
<=> ? [X3] :
( k3_xboole_0(X3,k2_pre_topc(X1)) = X2
& v4_pre_topc(X3,X0)
& m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0))) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+206.ax',t43_pre_topc) ).
fof(f4674,axiom,
! [X0] :
( l1_pre_topc(X0)
=> ! [X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
=> ( X2 = k6_pre_topc(X0,X1)
<=> ! [X3] :
( r2_hidden(X3,u1_struct_0(X0))
=> ( r2_hidden(X3,X2)
<=> ! [X4] :
( m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X0)))
=> ~ ( r1_xboole_0(X1,X4)
& r2_hidden(X3,X4)
& v3_pre_topc(X4,X0) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+206.ax',d13_pre_topc) ).
fof(f4675,axiom,
! [X0] :
( l1_pre_topc(X0)
=> ! [X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
=> ! [X2] :
( r2_hidden(X2,u1_struct_0(X0))
=> ( r2_hidden(X2,k6_pre_topc(X0,X1))
<=> ! [X3] :
( m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0)))
=> ( ( r1_tarski(X1,X3)
& v4_pre_topc(X3,X0) )
=> r2_hidden(X2,X3) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+206.ax',t45_pre_topc) ).
fof(f4677,axiom,
! [X0] :
( l1_pre_topc(X0)
=> ! [X1] :
( m1_pre_topc(X1,X0)
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
=> ! [X3] :
( m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1)))
=> ( X2 = X3
=> k6_pre_topc(X1,X3) = k3_xboole_0(k6_pre_topc(X0,X2),k2_pre_topc(X1)) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+206.ax',t47_pre_topc) ).
fof(f4678,axiom,
! [X0] :
( l1_pre_topc(X0)
=> ! [X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
=> r1_tarski(X1,k6_pre_topc(X0,X1)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+206.ax',t48_pre_topc) ).
fof(f4679,axiom,
! [X0] :
( l1_pre_topc(X0)
=> ! [X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
=> ( r1_tarski(X1,X2)
=> r1_tarski(k6_pre_topc(X0,X1),k6_pre_topc(X0,X2)) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+206.ax',t49_pre_topc) ).
fof(f4680,axiom,
! [X0] :
( ( l1_pre_topc(X0)
& v2_pre_topc(X0) )
=> ! [X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
=> k6_pre_topc(X0,k4_subset_1(u1_struct_0(X0),X1,X2)) = k4_subset_1(u1_struct_0(X0),k6_pre_topc(X0,X1),k6_pre_topc(X0,X2)) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+206.ax',t50_pre_topc) ).
fof(f4681,axiom,
! [X0] :
( l1_pre_topc(X0)
=> ! [X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
=> r1_tarski(k6_pre_topc(X0,k5_subset_1(u1_struct_0(X0),X1,X2)),k5_subset_1(u1_struct_0(X0),k6_pre_topc(X0,X1),k6_pre_topc(X0,X2))) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+206.ax',t51_pre_topc) ).
fof(f4682,axiom,
! [X0] :
( l1_pre_topc(X0)
=> ! [X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
=> ( ( ( k6_pre_topc(X0,X1) = X1
& v2_pre_topc(X0) )
=> v4_pre_topc(X1,X0) )
& ( v4_pre_topc(X1,X0)
=> k6_pre_topc(X0,X1) = X1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+206.ax',t52_pre_topc) ).
fof(f4683,axiom,
! [X0] :
( l1_pre_topc(X0)
=> ! [X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
=> ( ( ( k6_pre_topc(X0,k6_subset_1(u1_struct_0(X0),k2_pre_topc(X0),X1)) = k6_subset_1(u1_struct_0(X0),k2_pre_topc(X0),X1)
& v2_pre_topc(X0) )
=> v3_pre_topc(X1,X0) )
& ( v3_pre_topc(X1,X0)
=> k6_pre_topc(X0,k6_subset_1(u1_struct_0(X0),k2_pre_topc(X0),X1)) = k6_subset_1(u1_struct_0(X0),k2_pre_topc(X0),X1) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+206.ax',t53_pre_topc) ).
fof(f4684,axiom,
! [X0] :
( l1_pre_topc(X0)
=> ! [X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ( r2_hidden(X2,k6_pre_topc(X0,X1))
<=> ( ! [X3] :
( m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0)))
=> ~ ( r1_xboole_0(X1,X3)
& r2_hidden(X2,X3)
& v3_pre_topc(X3,X0) ) )
& ~ v3_struct_0(X0) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+206.ax',t54_pre_topc) ).
fof(f4685,axiom,
! [X0] :
( l1_pre_topc(X0)
=> ! [X1] :
( m1_pre_topc(X1,X0)
=> l1_pre_topc(X1) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+206.ax',dt_m1_pre_topc) ).
fof(f4686,axiom,
! [X0] :
( l1_pre_topc(X0)
=> ? [X1] : m1_pre_topc(X1,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+206.ax',existence_m1_pre_topc) ).
fof(f4687,axiom,
! [X0] :
( l1_pre_topc(X0)
=> l1_struct_0(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+206.ax',dt_l1_pre_topc) ).
fof(f4688,axiom,
? [X0] : l1_pre_topc(X0),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+206.ax',existence_l1_pre_topc) ).
fof(f4690,axiom,
! [X0] :
( l1_struct_0(X0)
=> m1_subset_1(k1_pre_topc(X0),k1_zfmisc_1(u1_struct_0(X0))) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+206.ax',dt_k1_pre_topc) ).
fof(f4691,axiom,
! [X0] :
( l1_struct_0(X0)
=> m1_subset_1(k2_pre_topc(X0),k1_zfmisc_1(u1_struct_0(X0))) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+206.ax',dt_k2_pre_topc) ).
fof(f4697,axiom,
! [X0,X1] :
( ( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
& l1_pre_topc(X0) )
=> m1_subset_1(k6_pre_topc(X0,X1),k1_zfmisc_1(u1_struct_0(X0))) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+206.ax',dt_k6_pre_topc) ).
fof(f4701,axiom,
! [X0] :
( ( l1_pre_topc(X0)
& v2_pre_topc(X0) )
=> ( v5_membered(k1_pre_topc(X0))
& v4_membered(k1_pre_topc(X0))
& v3_membered(k1_pre_topc(X0))
& v2_membered(k1_pre_topc(X0))
& v1_membered(k1_pre_topc(X0))
& v4_pre_topc(k1_pre_topc(X0),X0)
& v1_xboole_0(k1_pre_topc(X0)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+207.ax',fc1_tops_1) ).
fof(f4702,axiom,
! [X0,X1] :
( ( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
& l1_pre_topc(X0)
& v2_pre_topc(X0) )
=> v4_pre_topc(k6_pre_topc(X0,X1),X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+207.ax',fc2_tops_1) ).
fof(f4704,axiom,
! [X0] :
( ( l1_pre_topc(X0)
& v2_pre_topc(X0) )
=> ? [X1] :
( v3_pre_topc(X1,X0)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+207.ax',rc1_tops_1) ).
fof(f4706,axiom,
! [X0] :
( l1_pre_topc(X0)
=> ( v5_membered(k1_tops_1(X0,k1_pre_topc(X0)))
& v4_membered(k1_tops_1(X0,k1_pre_topc(X0)))
& v3_membered(k1_tops_1(X0,k1_pre_topc(X0)))
& v2_membered(k1_tops_1(X0,k1_pre_topc(X0)))
& v1_membered(k1_tops_1(X0,k1_pre_topc(X0)))
& v1_xboole_0(k1_tops_1(X0,k1_pre_topc(X0))) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+207.ax',fc5_tops_1) ).
fof(f4707,axiom,
! [X0,X1] :
( ( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
& l1_pre_topc(X0)
& v2_pre_topc(X0) )
=> v3_pre_topc(k1_tops_1(X0,X1),X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+207.ax',fc6_tops_1) ).
fof(f4708,axiom,
! [X0] :
( ( l1_pre_topc(X0)
& v2_pre_topc(X0) )
=> ( v5_membered(k1_pre_topc(X0))
& v4_membered(k1_pre_topc(X0))
& v3_membered(k1_pre_topc(X0))
& v2_membered(k1_pre_topc(X0))
& v1_membered(k1_pre_topc(X0))
& v4_pre_topc(k1_pre_topc(X0),X0)
& v3_pre_topc(k1_pre_topc(X0),X0)
& v1_xboole_0(k1_pre_topc(X0)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+207.ax',fc7_tops_1) ).
fof(f4709,axiom,
! [X0] :
( ( l1_pre_topc(X0)
& v2_pre_topc(X0) )
=> ( v4_pre_topc(k2_pre_topc(X0),X0)
& v3_pre_topc(k2_pre_topc(X0),X0) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+207.ax',fc8_tops_1) ).
fof(f4710,axiom,
! [X0] :
( ( l1_pre_topc(X0)
& v2_pre_topc(X0) )
=> ! [X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
=> ( v1_xboole_0(X1)
=> ( v4_pre_topc(X1,X0)
& v3_pre_topc(X1,X0) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+207.ax',cc1_tops_1) ).
fof(f4711,axiom,
! [X0] :
( ( l1_pre_topc(X0)
& v2_pre_topc(X0) )
=> ? [X1] :
( v4_pre_topc(X1,X0)
& v3_pre_topc(X1,X0)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+207.ax',rc2_tops_1) ).
fof(f4712,axiom,
! [X0] :
( ( l1_pre_topc(X0)
& v2_pre_topc(X0)
& ~ v3_struct_0(X0) )
=> ? [X1] :
( v4_pre_topc(X1,X0)
& v3_pre_topc(X1,X0)
& ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+207.ax',rc3_tops_1) ).
fof(f4726,axiom,
! [X0] :
( l1_struct_0(X0)
=> ! [X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
=> k4_subset_1(u1_struct_0(X0),X1,k2_pre_topc(X0)) = k2_pre_topc(X0) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+207.ax',t2_tops_1) ).
fof(f4732,axiom,
! [X0] :
( l1_struct_0(X0)
=> k3_subset_1(u1_struct_0(X0),k2_pre_topc(X0)) = k1_pre_topc(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+207.ax',t8_tops_1) ).
fof(f4744,axiom,
! [X0] :
( l1_struct_0(X0)
=> ! [X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
=> ( r1_tarski(X1,X2)
<=> r1_xboole_0(X1,k3_subset_1(u1_struct_0(X0),X2)) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+207.ax',t20_tops_1) ).
fof(f4745,axiom,
! [X0] :
( l1_struct_0(X0)
=> ! [X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
=> ( k3_subset_1(u1_struct_0(X0),X1) = k3_subset_1(u1_struct_0(X0),X2)
=> X1 = X2 ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+207.ax',t21_tops_1) ).
fof(f4750,axiom,
! [X0] :
( l1_pre_topc(X0)
=> ! [X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
=> k6_pre_topc(X0,k6_pre_topc(X0,X1)) = k6_pre_topc(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+207.ax',t26_tops_1) ).
fof(f4751,axiom,
! [X0] :
( l1_pre_topc(X0)
=> k6_pre_topc(X0,k2_pre_topc(X0)) = k2_pre_topc(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+207.ax',t27_tops_1) ).
fof(f4753,axiom,
! [X0] :
( l1_pre_topc(X0)
=> ! [X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
=> ( v4_pre_topc(X1,X0)
<=> v3_pre_topc(k3_subset_1(u1_struct_0(X0),X1),X0) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+207.ax',t29_tops_1) ).
fof(f4754,axiom,
! [X0] :
( l1_pre_topc(X0)
=> ! [X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
=> ( v3_pre_topc(X1,X0)
<=> v4_pre_topc(k3_subset_1(u1_struct_0(X0),X1),X0) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+207.ax',t30_tops_1) ).
fof(f4755,axiom,
! [X0] :
( l1_pre_topc(X0)
=> ! [X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
=> ( ( r1_tarski(X2,X1)
& v4_pre_topc(X1,X0) )
=> r1_tarski(k6_pre_topc(X0,X2),X1) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+207.ax',t31_tops_1) ).
fof(f4756,axiom,
! [X0] :
( ( l1_pre_topc(X0)
& v2_pre_topc(X0) )
=> ! [X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
=> r1_tarski(k6_subset_1(u1_struct_0(X0),k6_pre_topc(X0,X1),k6_pre_topc(X0,X2)),k6_pre_topc(X0,k6_subset_1(u1_struct_0(X0),X1,X2))) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+207.ax',t32_tops_1) ).
fof(f4758,axiom,
! [X0] :
( l1_pre_topc(X0)
=> ! [X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
=> ( ( v4_pre_topc(X2,X0)
& v4_pre_topc(X1,X0) )
=> k6_pre_topc(X0,k5_subset_1(u1_struct_0(X0),X1,X2)) = k5_subset_1(u1_struct_0(X0),k6_pre_topc(X0,X1),k6_pre_topc(X0,X2)) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+207.ax',t34_tops_1) ).
fof(f4759,axiom,
! [X0] :
( ( l1_pre_topc(X0)
& v2_pre_topc(X0) )
=> ! [X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
=> ( ( v4_pre_topc(X2,X0)
& v4_pre_topc(X1,X0) )
=> v4_pre_topc(k5_subset_1(u1_struct_0(X0),X1,X2),X0) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+207.ax',t35_tops_1) ).
fof(f4760,axiom,
! [X0] :
( ( l1_pre_topc(X0)
& v2_pre_topc(X0) )
=> ! [X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
=> ( ( v4_pre_topc(X2,X0)
& v4_pre_topc(X1,X0) )
=> v4_pre_topc(k4_subset_1(u1_struct_0(X0),X1,X2),X0) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+207.ax',t36_tops_1) ).
fof(f4761,axiom,
! [X0] :
( ( l1_pre_topc(X0)
& v2_pre_topc(X0) )
=> ! [X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
=> ( ( v3_pre_topc(X2,X0)
& v3_pre_topc(X1,X0) )
=> v3_pre_topc(k4_subset_1(u1_struct_0(X0),X1,X2),X0) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+207.ax',t37_tops_1) ).
fof(f4762,axiom,
! [X0] :
( ( l1_pre_topc(X0)
& v2_pre_topc(X0) )
=> ! [X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
=> ( ( v3_pre_topc(X2,X0)
& v3_pre_topc(X1,X0) )
=> v3_pre_topc(k5_subset_1(u1_struct_0(X0),X1,X2),X0) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+207.ax',t38_tops_1) ).
fof(f4763,axiom,
! [X0] :
( ( l1_pre_topc(X0)
& v2_pre_topc(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ( r2_hidden(X2,k6_pre_topc(X0,X1))
<=> ! [X3] :
( m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0)))
=> ~ ( r1_xboole_0(X1,X3)
& r2_hidden(X2,X3)
& v3_pre_topc(X3,X0) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+207.ax',t39_tops_1) ).
fof(f4764,axiom,
! [X0] :
( ( l1_pre_topc(X0)
& v2_pre_topc(X0) )
=> ! [X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
=> ( v3_pre_topc(X1,X0)
=> r1_tarski(k5_subset_1(u1_struct_0(X0),X1,k6_pre_topc(X0,X2)),k6_pre_topc(X0,k5_subset_1(u1_struct_0(X0),X1,X2))) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+207.ax',t40_tops_1) ).
fof(f4765,axiom,
! [X0] :
( ( l1_pre_topc(X0)
& v2_pre_topc(X0) )
=> ! [X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
=> ( v3_pre_topc(X1,X0)
=> k6_pre_topc(X0,k5_subset_1(u1_struct_0(X0),X1,k6_pre_topc(X0,X2))) = k6_pre_topc(X0,k5_subset_1(u1_struct_0(X0),X1,X2)) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+207.ax',t41_tops_1) ).
fof(f4766,axiom,
! [X0] :
( l1_pre_topc(X0)
=> ! [X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
=> k1_tops_1(X0,X1) = k3_subset_1(u1_struct_0(X0),k6_pre_topc(X0,k3_subset_1(u1_struct_0(X0),X1))) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+207.ax',d1_tops_1) ).
fof(f4768,axiom,
! [X0] :
( ( l1_pre_topc(X0)
& v2_pre_topc(X0) )
=> k1_tops_1(X0,k2_pre_topc(X0)) = k2_pre_topc(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+207.ax',t43_tops_1) ).
fof(f4769,axiom,
! [X0] :
( l1_pre_topc(X0)
=> ! [X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
=> r1_tarski(k1_tops_1(X0,X1),X1) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+207.ax',t44_tops_1) ).
fof(f4770,axiom,
! [X0] :
( l1_pre_topc(X0)
=> ! [X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
=> k1_tops_1(X0,k1_tops_1(X0,X1)) = k1_tops_1(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+207.ax',t45_tops_1) ).
fof(f4771,axiom,
! [X0] :
( ( l1_pre_topc(X0)
& v2_pre_topc(X0) )
=> ! [X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
=> k5_subset_1(u1_struct_0(X0),k1_tops_1(X0,X1),k1_tops_1(X0,X2)) = k1_tops_1(X0,k5_subset_1(u1_struct_0(X0),X1,X2)) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+207.ax',t46_tops_1) ).
fof(f4772,axiom,
! [X0] :
( l1_pre_topc(X0)
=> k1_tops_1(X0,k1_pre_topc(X0)) = k1_pre_topc(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+207.ax',t47_tops_1) ).
fof(f4773,axiom,
! [X0] :
( l1_pre_topc(X0)
=> ! [X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
=> ( r1_tarski(X1,X2)
=> r1_tarski(k1_tops_1(X0,X1),k1_tops_1(X0,X2)) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+207.ax',t48_tops_1) ).
fof(f4774,axiom,
! [X0] :
( l1_pre_topc(X0)
=> ! [X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
=> r1_tarski(k4_subset_1(u1_struct_0(X0),k1_tops_1(X0,X1),k1_tops_1(X0,X2)),k1_tops_1(X0,k4_subset_1(u1_struct_0(X0),X1,X2))) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+207.ax',t49_tops_1) ).
fof(f4775,axiom,
! [X0] :
( ( l1_pre_topc(X0)
& v2_pre_topc(X0) )
=> ! [X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
=> r1_tarski(k1_tops_1(X0,k6_subset_1(u1_struct_0(X0),X1,X2)),k6_subset_1(u1_struct_0(X0),k1_tops_1(X0,X1),k1_tops_1(X0,X2))) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+207.ax',t50_tops_1) ).
fof(f4779,axiom,
! [X0] :
( ( l1_pre_topc(X0)
& v2_pre_topc(X0) )
=> ! [X1,X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
=> ( r2_hidden(X1,k1_tops_1(X0,X2))
<=> ? [X3] :
( r2_hidden(X1,X3)
& r1_tarski(X3,X2)
& v3_pre_topc(X3,X0)
& m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0))) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+207.ax',t54_tops_1) ).
fof(f4780,axiom,
! [X0] :
( ( l1_pre_topc(X0)
& v2_pre_topc(X0) )
=> ! [X1] :
( l1_pre_topc(X1)
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
=> ! [X3] :
( m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1)))
=> ( ( k1_tops_1(X0,X2) = X2
=> v3_pre_topc(X2,X0) )
& ( v3_pre_topc(X3,X1)
=> k1_tops_1(X1,X3) = X3 ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+207.ax',t55_tops_1) ).
fof(f4781,axiom,
! [X0] :
( l1_pre_topc(X0)
=> ! [X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
=> ( ( r1_tarski(X1,X2)
& v3_pre_topc(X1,X0) )
=> r1_tarski(X1,k1_tops_1(X0,X2)) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+207.ax',t56_tops_1) ).
fof(f4782,axiom,
! [X0] :
( ( l1_pre_topc(X0)
& v2_pre_topc(X0) )
=> ! [X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
=> ( v3_pre_topc(X1,X0)
<=> ! [X2] :
( r2_hidden(X2,X1)
<=> ? [X3] :
( r2_hidden(X2,X3)
& r1_tarski(X3,X1)
& v3_pre_topc(X3,X0)
& m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0))) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+207.ax',t57_tops_1) ).
fof(f4783,axiom,
! [X0] :
( l1_pre_topc(X0)
=> ! [X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
=> k6_pre_topc(X0,k1_tops_1(X0,X1)) = k6_pre_topc(X0,k1_tops_1(X0,k6_pre_topc(X0,k1_tops_1(X0,X1)))) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+207.ax',t58_tops_1) ).
fof(f4784,axiom,
! [X0] :
( l1_pre_topc(X0)
=> ! [X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
=> ( v3_pre_topc(X1,X0)
=> k6_pre_topc(X0,k1_tops_1(X0,k6_pre_topc(X0,X1))) = k6_pre_topc(X0,X1) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+207.ax',t59_tops_1) ).
fof(f4785,axiom,
! [X0] :
( l1_pre_topc(X0)
=> ! [X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
=> k2_tops_1(X0,X1) = k5_subset_1(u1_struct_0(X0),k6_pre_topc(X0,X1),k6_pre_topc(X0,k3_subset_1(u1_struct_0(X0),X1))) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+207.ax',d2_tops_1) ).
fof(f4787,axiom,
! [X0] :
( ( l1_pre_topc(X0)
& v2_pre_topc(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ( r2_hidden(X2,k2_tops_1(X0,X1))
<=> ! [X3] :
( m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0)))
=> ( ( r2_hidden(X2,X3)
& v3_pre_topc(X3,X0) )
=> ( ~ r1_xboole_0(k3_subset_1(u1_struct_0(X0),X1),X3)
& ~ r1_xboole_0(X1,X3) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+207.ax',t61_tops_1) ).
fof(f4788,axiom,
! [X0] :
( l1_pre_topc(X0)
=> ! [X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
=> k2_tops_1(X0,X1) = k2_tops_1(X0,k3_subset_1(u1_struct_0(X0),X1)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+207.ax',t62_tops_1) ).
fof(f4789,axiom,
! [X0] :
( l1_pre_topc(X0)
=> ! [X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
=> r1_tarski(k2_tops_1(X0,X1),k6_pre_topc(X0,X1)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+207.ax',t63_tops_1) ).
fof(f4790,axiom,
! [X0] :
( l1_pre_topc(X0)
=> ! [X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
=> k2_tops_1(X0,X1) = k4_subset_1(u1_struct_0(X0),k5_subset_1(u1_struct_0(X0),k6_pre_topc(X0,k3_subset_1(u1_struct_0(X0),X1)),X1),k6_subset_1(u1_struct_0(X0),k6_pre_topc(X0,X1),X1)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+207.ax',t64_tops_1) ).
fof(f4791,axiom,
! [X0] :
( l1_pre_topc(X0)
=> ! [X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
=> k6_pre_topc(X0,X1) = k4_subset_1(u1_struct_0(X0),X1,k2_tops_1(X0,X1)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+207.ax',t65_tops_1) ).
fof(f4792,axiom,
! [X0] :
( ( l1_pre_topc(X0)
& v2_pre_topc(X0) )
=> ! [X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
=> r1_tarski(k2_tops_1(X0,k5_subset_1(u1_struct_0(X0),X1,X2)),k4_subset_1(u1_struct_0(X0),k2_tops_1(X0,X1),k2_tops_1(X0,X2))) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+207.ax',t66_tops_1) ).
fof(f4793,axiom,
! [X0] :
( ( l1_pre_topc(X0)
& v2_pre_topc(X0) )
=> ! [X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
=> r1_tarski(k2_tops_1(X0,k4_subset_1(u1_struct_0(X0),X1,X2)),k4_subset_1(u1_struct_0(X0),k2_tops_1(X0,X1),k2_tops_1(X0,X2))) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+207.ax',t67_tops_1) ).
fof(f4794,axiom,
! [X0] :
( l1_pre_topc(X0)
=> ! [X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
=> r1_tarski(k2_tops_1(X0,k2_tops_1(X0,X1)),k2_tops_1(X0,X1)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+207.ax',t68_tops_1) ).
fof(f4795,axiom,
! [X0] :
( l1_pre_topc(X0)
=> ! [X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
=> ( v4_pre_topc(X1,X0)
=> r1_tarski(k2_tops_1(X0,X1),X1) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+207.ax',t69_tops_1) ).
fof(f4796,axiom,
! [X0] :
( ( l1_pre_topc(X0)
& v2_pre_topc(X0) )
=> ! [X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
=> k4_subset_1(u1_struct_0(X0),k2_tops_1(X0,X1),k2_tops_1(X0,X2)) = k4_subset_1(u1_struct_0(X0),k4_subset_1(u1_struct_0(X0),k2_tops_1(X0,k4_subset_1(u1_struct_0(X0),X1,X2)),k2_tops_1(X0,k5_subset_1(u1_struct_0(X0),X1,X2))),k5_subset_1(u1_struct_0(X0),k2_tops_1(X0,X1),k2_tops_1(X0,X2))) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+207.ax',t70_tops_1) ).
fof(f4797,axiom,
! [X0] :
( l1_pre_topc(X0)
=> ! [X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
=> r1_tarski(k2_tops_1(X0,k1_tops_1(X0,X1)),k2_tops_1(X0,X1)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+207.ax',t71_tops_1) ).
fof(f4798,axiom,
! [X0] :
( l1_pre_topc(X0)
=> ! [X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
=> r1_tarski(k2_tops_1(X0,k6_pre_topc(X0,X1)),k2_tops_1(X0,X1)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+207.ax',t72_tops_1) ).
fof(f4799,axiom,
! [X0] :
( l1_pre_topc(X0)
=> ! [X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
=> r1_xboole_0(k1_tops_1(X0,X1),k2_tops_1(X0,X1)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+207.ax',t73_tops_1) ).
fof(f4800,axiom,
! [X0] :
( l1_pre_topc(X0)
=> ! [X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
=> k1_tops_1(X0,X1) = k6_subset_1(u1_struct_0(X0),X1,k2_tops_1(X0,X1)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+207.ax',t74_tops_1) ).
fof(f4801,axiom,
! [X0] :
( ( l1_pre_topc(X0)
& v2_pre_topc(X0) )
=> ! [X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
=> k2_tops_1(X0,k2_tops_1(X0,k2_tops_1(X0,X1))) = k2_tops_1(X0,k2_tops_1(X0,X1)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+207.ax',t75_tops_1) ).
fof(f4802,axiom,
! [X0] :
( ( l1_pre_topc(X0)
& v2_pre_topc(X0) )
=> ! [X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
=> ( v3_pre_topc(X1,X0)
<=> k2_tops_1(X0,X1) = k6_subset_1(u1_struct_0(X0),k6_pre_topc(X0,X1),X1) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+207.ax',t76_tops_1) ).
fof(f4803,axiom,
! [X0] :
( ( l1_pre_topc(X0)
& v2_pre_topc(X0) )
=> ! [X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
=> ( v4_pre_topc(X1,X0)
<=> k2_tops_1(X0,X1) = k6_subset_1(u1_struct_0(X0),X1,k1_tops_1(X0,X1)) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+207.ax',t77_tops_1) ).
fof(f4844,axiom,
! [X0,X1] :
( ( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
& l1_pre_topc(X0) )
=> m1_subset_1(k1_tops_1(X0,X1),k1_zfmisc_1(u1_struct_0(X0))) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+207.ax',dt_k1_tops_1) ).
fof(f4845,axiom,
! [X0,X1] :
( ( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
& l1_pre_topc(X0) )
=> m1_subset_1(k2_tops_1(X0,X1),k1_zfmisc_1(u1_struct_0(X0))) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+207.ax',dt_k2_tops_1) ).
fof(f4858,axiom,
! [X0] :
( ( l1_rlvect_1(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> k2_rlvect_1(X0,X1,X2) = k8_funct_2(k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0),u1_rlvect_1(X0),k1_domain_1(u1_struct_0(X0),u1_struct_0(X0),X1,X2)) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+210.ax',d3_rlvect_1) ).
fof(f4861,axiom,
! [X0] :
( ( l1_rlvect_1(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> k2_rlvect_1(X0,X1,X2) = k2_binop_1(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),u1_rlvect_1(X0),X1,X2) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+210.ax',t5_rlvect_1) ).
fof(f4862,axiom,
! [X0] :
( ( l1_rlvect_1(X0)
& ~ v3_struct_0(X0) )
=> ( v3_rlvect_1(X0)
<=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> k2_rlvect_1(X0,X1,X2) = k2_rlvect_1(X0,X2,X1) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+210.ax',d5_rlvect_1) ).
fof(f4863,axiom,
! [X0] :
( ( l1_rlvect_1(X0)
& ~ v3_struct_0(X0) )
=> ( v4_rlvect_1(X0)
<=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X0))
=> k2_rlvect_1(X0,k2_rlvect_1(X0,X1,X2),X3) = k2_rlvect_1(X0,X1,k2_rlvect_1(X0,X2,X3)) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+210.ax',d6_rlvect_1) ).
fof(f4864,axiom,
! [X0] :
( ( l1_rlvect_1(X0)
& ~ v3_struct_0(X0) )
=> ( v5_rlvect_1(X0)
<=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> k2_rlvect_1(X0,X1,k1_rlvect_1(X0)) = X1 ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+210.ax',d7_rlvect_1) ).
fof(f4865,axiom,
! [X0] :
( ( l1_rlvect_1(X0)
& ~ v3_struct_0(X0) )
=> ( v6_rlvect_1(X0)
<=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ? [X2] :
( k2_rlvect_1(X0,X1,X2) = k1_rlvect_1(X0)
& m1_subset_1(X2,u1_struct_0(X0)) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+210.ax',d8_rlvect_1) ).
fof(f4871,axiom,
! [X0] :
( ( l1_rlvect_1(X0)
& v6_rlvect_1(X0)
& v5_rlvect_1(X0)
& v4_rlvect_1(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ( k2_rlvect_1(X0,k1_rlvect_1(X0),X1) = X1
& k2_rlvect_1(X0,X1,k1_rlvect_1(X0)) = X1 ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+210.ax',t10_rlvect_1) ).
fof(f4872,axiom,
! [X0] :
( ( l1_rlvect_1(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ( ( v6_rlvect_1(X0)
& v5_rlvect_1(X0)
& v4_rlvect_1(X0) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ( X2 = k5_rlvect_1(X0,X1)
<=> k2_rlvect_1(X0,X1,X2) = k1_rlvect_1(X0) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+210.ax',d10_rlvect_1) ).
fof(f4879,axiom,
! [X0] :
( ( l1_rlvect_1(X0)
& v6_rlvect_1(X0)
& v5_rlvect_1(X0)
& v4_rlvect_1(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ( k2_rlvect_1(X0,k5_rlvect_1(X0,X1),X1) = k1_rlvect_1(X0)
& k2_rlvect_1(X0,X1,k5_rlvect_1(X0,X1)) = k1_rlvect_1(X0) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+210.ax',t16_rlvect_1) ).
fof(f4882,axiom,
! [X0] :
( ( l1_rlvect_1(X0)
& v6_rlvect_1(X0)
& v5_rlvect_1(X0)
& v4_rlvect_1(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ( k2_rlvect_1(X0,X1,X2) = k1_rlvect_1(X0)
=> X1 = k5_rlvect_1(X0,X2) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+210.ax',t19_rlvect_1) ).
fof(f4883,axiom,
! [X0] :
( ( l1_rlvect_1(X0)
& v6_rlvect_1(X0)
& v5_rlvect_1(X0)
& v4_rlvect_1(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ? [X3] :
( k2_rlvect_1(X0,X1,X3) = X2
& m1_subset_1(X3,u1_struct_0(X0)) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+210.ax',t20_rlvect_1) ).
fof(f4884,axiom,
! [X0] :
( ( l1_rlvect_1(X0)
& v6_rlvect_1(X0)
& v5_rlvect_1(X0)
& v4_rlvect_1(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X0))
=> ! [X4] :
( m1_subset_1(X4,u1_struct_0(X0))
=> ( ( k2_rlvect_1(X0,X3,X1) = k2_rlvect_1(X0,X4,X1)
| k2_rlvect_1(X0,X1,X3) = k2_rlvect_1(X0,X1,X4) )
=> X3 = X4 ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+210.ax',t21_rlvect_1) ).
fof(f4885,axiom,
! [X0] :
( ( l1_rlvect_1(X0)
& v6_rlvect_1(X0)
& v5_rlvect_1(X0)
& v4_rlvect_1(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ( ( k2_rlvect_1(X0,X2,X1) = X1
| k2_rlvect_1(X0,X1,X2) = X1 )
=> X2 = k1_rlvect_1(X0) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+210.ax',t22_rlvect_1) ).
fof(f4908,axiom,
! [X0] :
( ( l1_rlvect_1(X0)
& v6_rlvect_1(X0)
& v5_rlvect_1(X0)
& v4_rlvect_1(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> k5_rlvect_1(X0,k2_rlvect_1(X0,X1,X2)) = k2_rlvect_1(X0,k5_rlvect_1(X0,X2),k5_rlvect_1(X0,X1)) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+210.ax',t45_rlvect_1) ).
fof(f4915,axiom,
! [X0] :
( ( l1_rlvect_1(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m2_finseq_1(X1,u1_struct_0(X0))
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ( X2 = k9_rlvect_1(X0,X1)
<=> ? [X3] :
( ! [X4] :
( m2_subset_1(X4,k1_numbers,k5_numbers)
=> ! [X5] :
( m1_subset_1(X5,u1_struct_0(X0))
=> ( X5 = k1_funct_1(X1,k1_nat_1(X4,np__1))
=> ( k8_funct_2(k5_numbers,u1_struct_0(X0),X3,k1_nat_1(X4,np__1)) = k2_rlvect_1(X0,k8_funct_2(k5_numbers,u1_struct_0(X0),X3,X4),X5)
| r1_xreal_0(k3_finseq_1(X1),X4) ) ) ) )
& k8_funct_2(k5_numbers,u1_struct_0(X0),X3,np__0) = k1_rlvect_1(X0)
& X2 = k8_funct_2(k5_numbers,u1_struct_0(X0),X3,k3_finseq_1(X1))
& m2_relset_1(X3,k5_numbers,u1_struct_0(X0))
& v1_funct_2(X3,k5_numbers,u1_struct_0(X0))
& v1_funct_1(X3) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+210.ax',d12_rlvect_1) ).
fof(f4918,axiom,
! [X0] :
( ( l1_rlvect_1(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m2_finseq_1(X1,u1_struct_0(X0))
=> ! [X2] :
( m2_subset_1(X2,k1_numbers,k5_numbers)
=> ! [X3] :
( m2_subset_1(X3,k1_numbers,k5_numbers)
=> ( ( k3_finseq_1(X1) = X3
& r2_hidden(X2,k2_finseq_1(X3)) )
=> m1_subset_1(k1_funct_1(X1,X2),u1_struct_0(X0)) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+210.ax',t54_rlvect_1) ).
fof(f4919,axiom,
! [X0] :
( ( l1_rlvect_1(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m2_finseq_1(X1,u1_struct_0(X0))
=> ! [X2] :
( m2_finseq_1(X2,u1_struct_0(X0))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X0))
=> ( ( X3 = k1_funct_1(X1,k3_finseq_1(X1))
& X2 = k7_relat_1(X1,k4_finseq_1(X2))
& k3_finseq_1(X1) = k1_nat_1(k3_finseq_1(X2),np__1) )
=> k9_rlvect_1(X0,X1) = k2_rlvect_1(X0,k9_rlvect_1(X0,X2),X3) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+210.ax',t55_rlvect_1) ).
fof(f4921,axiom,
! [X0] :
( ( l1_rlvect_1(X0)
& v6_rlvect_1(X0)
& v5_rlvect_1(X0)
& v4_rlvect_1(X0)
& v3_rlvect_1(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m2_finseq_1(X1,u1_struct_0(X0))
=> ! [X2] :
( m2_finseq_1(X2,u1_struct_0(X0))
=> ( ( ! [X3] :
( m2_subset_1(X3,k1_numbers,k5_numbers)
=> ! [X4] :
( m1_subset_1(X4,u1_struct_0(X0))
=> ( ( X4 = k1_funct_1(X2,X3)
& r2_hidden(X3,k4_finseq_1(X1)) )
=> k1_funct_1(X1,X3) = k5_rlvect_1(X0,X4) ) ) )
& k3_finseq_1(X1) = k3_finseq_1(X2) )
=> k9_rlvect_1(X0,X1) = k5_rlvect_1(X0,k9_rlvect_1(X0,X2)) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+210.ax',t57_rlvect_1) ).
fof(f4958,axiom,
! [X0] :
( ( l1_rlvect_1(X0)
& v6_rlvect_1(X0)
& v5_rlvect_1(X0)
& v4_rlvect_1(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m2_finseq_1(X1,u1_struct_0(X0))
=> ( k3_finseq_1(X1) = np__0
=> k9_rlvect_1(X0,X1) = k1_rlvect_1(X0) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+210.ax',t94_rlvect_1) ).
fof(f4959,axiom,
! [X0] :
( ( l1_rlvect_1(X0)
& v6_rlvect_1(X0)
& v5_rlvect_1(X0)
& v4_rlvect_1(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m2_finseq_1(X1,u1_struct_0(X0))
=> ( k3_finseq_1(X1) = np__1
=> k9_rlvect_1(X0,X1) = k1_funct_1(X1,np__1) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+210.ax',t95_rlvect_1) ).
fof(f4964,axiom,
? [X0] : l1_rlvect_1(X0),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+210.ax',existence_l1_rlvect_1) ).
fof(f4970,axiom,
! [X0,X1,X2] :
( ( m1_subset_1(X2,u1_struct_0(X0))
& m1_subset_1(X1,u1_struct_0(X0))
& l1_rlvect_1(X0)
& ~ v3_struct_0(X0) )
=> m1_subset_1(k2_rlvect_1(X0,X1,X2),u1_struct_0(X0)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+210.ax',dt_k2_rlvect_1) ).
fof(f4982,axiom,
! [X0] :
( l1_rlvect_1(X0)
=> ( m2_relset_1(u1_rlvect_1(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& v1_funct_2(u1_rlvect_1(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& v1_funct_1(u1_rlvect_1(X0)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+210.ax',dt_u1_rlvect_1) ).
fof(f4991,axiom,
! [X0] :
( l1_group_1(X0)
=> ( ( v3_group_1(X0)
& ~ v3_struct_0(X0) )
=> ( v2_group_1(X0)
& ~ v3_struct_0(X0) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+212.ax',cc1_group_1) ).
fof(f4992,axiom,
? [X0] :
( v4_group_1(X0)
& v3_group_1(X0)
& v2_group_1(X0)
& v1_group_1(X0)
& ~ v3_struct_0(X0)
& l1_group_1(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+212.ax',rc3_group_1) ).
fof(f4993,axiom,
? [X0] :
( v7_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& v2_group_1(X0)
& v1_group_1(X0)
& ~ v3_struct_0(X0)
& l1_group_1(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+212.ax',rc4_group_1) ).
fof(f4995,axiom,
! [X0] :
( ( l1_group_1(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> k1_group_1(X0,X1,X2) = k2_binop_1(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),u1_group_1(X0),X1,X2) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+212.ax',d1_group_1) ).
fof(f4996,axiom,
! [X0] :
( ( l1_group_1(X0)
& ~ v3_struct_0(X0) )
=> ( v2_group_1(X0)
<=> ? [X1] :
( ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ( k1_group_1(X0,X1,X2) = X2
& k1_group_1(X0,X2,X1) = X2 ) )
& m1_subset_1(X1,u1_struct_0(X0)) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+212.ax',d2_group_1) ).
fof(f5006,axiom,
! [X0] :
( ( l1_group_1(X0)
& ~ v3_struct_0(X0) )
=> ( v2_group_1(X0)
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ( X1 = k2_group_1(X0)
<=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ( k1_group_1(X0,X1,X2) = X2
& k1_group_1(X0,X2,X1) = X2 ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+212.ax',d5_group_1) ).
fof(f5009,axiom,
! [X0] :
( ( l1_group_1(X0)
& v3_group_1(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ( ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ( k1_group_1(X0,X1,X2) = X2
& k1_group_1(X0,X2,X1) = X2 ) )
=> X1 = k2_group_1(X0) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+212.ax',t10_group_1) ).
fof(f5010,axiom,
! [X0] :
( ( l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ( X2 = k3_group_1(X0,X1)
<=> ( k1_group_1(X0,X2,X1) = k2_group_1(X0)
& k1_group_1(X0,X1,X2) = k2_group_1(X0) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+212.ax',d6_group_1) ).
fof(f5015,axiom,
! [X0] :
( ( l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ( ( k1_group_1(X0,X2,X1) = X1
| k1_group_1(X0,X1,X2) = X1 )
=> X2 = k2_group_1(X0) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+212.ax',t15_group_1) ).
fof(f5016,axiom,
! [X0] :
( ( l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& ~ v3_struct_0(X0) )
=> k3_group_1(X0,k2_group_1(X0)) = k2_group_1(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+212.ax',t16_group_1) ).
fof(f5018,axiom,
! [X0] :
( ( l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ( k3_group_1(X0,X1) = k2_group_1(X0)
=> X1 = k2_group_1(X0) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+212.ax',t18_group_1) ).
fof(f5020,axiom,
! [X0] :
( ( l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ( ( k1_group_1(X0,X2,X1) = k2_group_1(X0)
| k1_group_1(X0,X1,X2) = k2_group_1(X0) )
=> ( X2 = k3_group_1(X0,X1)
& X1 = k3_group_1(X0,X2) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+212.ax',t20_group_1) ).
fof(f5032,axiom,
! [X0] :
( ( l1_group_1(X0)
& v4_group_1(X0)
& ~ v3_struct_0(X0) )
=> v2_binop_1(u1_group_1(X0),u1_struct_0(X0)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+212.ax',t31_group_1) ).
fof(f5033,axiom,
! [X0] :
( ( l1_group_1(X0)
& v2_group_1(X0)
& ~ v3_struct_0(X0) )
=> r3_binop_1(u1_struct_0(X0),k2_group_1(X0),u1_group_1(X0)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+212.ax',t32_group_1) ).
fof(f5034,axiom,
! [X0] :
( ( l1_group_1(X0)
& v2_group_1(X0)
& ~ v3_struct_0(X0) )
=> k3_binop_1(u1_struct_0(X0),u1_group_1(X0)) = k2_group_1(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+212.ax',t33_group_1) ).
fof(f5035,axiom,
! [X0] :
( ( l1_group_1(X0)
& v2_group_1(X0)
& ~ v3_struct_0(X0) )
=> v1_setwiseo(u1_group_1(X0),u1_struct_0(X0)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+212.ax',t34_group_1) ).
fof(f5046,axiom,
! [X0] :
( m2_subset_1(X0,k1_numbers,k5_numbers)
=> ! [X1] :
( ( l1_group_1(X1)
& v4_group_1(X1)
& v3_group_1(X1)
& ~ v3_struct_0(X1) )
=> k6_group_1(X1,X0,k2_group_1(X1)) = k2_group_1(X1) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+212.ax',t42_group_1) ).
fof(f5047,axiom,
! [X0] :
( ( l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> k6_group_1(X0,np__0,X1) = k2_group_1(X0) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+212.ax',t43_group_1) ).
fof(f5052,axiom,
! [X0] :
( m2_subset_1(X0,k1_numbers,k5_numbers)
=> ! [X1] :
( m2_subset_1(X1,k1_numbers,k5_numbers)
=> ! [X2] :
( ( l1_group_1(X2)
& v4_group_1(X2)
& v3_group_1(X2)
& ~ v3_struct_0(X2) )
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X2))
=> k6_group_1(X2,k1_nat_1(X0,X1),X3) = k1_group_1(X2,k6_group_1(X2,X0,X3),k6_group_1(X2,X1,X3)) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+212.ax',t48_group_1) ).
fof(f5053,axiom,
! [X0] :
( m2_subset_1(X0,k1_numbers,k5_numbers)
=> ! [X1] :
( ( l1_group_1(X1)
& v4_group_1(X1)
& v3_group_1(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> ( k6_group_1(X1,k1_nat_1(X0,np__1),X2) = k1_group_1(X1,X2,k6_group_1(X1,X0,X2))
& k6_group_1(X1,k1_nat_1(X0,np__1),X2) = k1_group_1(X1,k6_group_1(X1,X0,X2),X2) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+212.ax',t49_group_1) ).
fof(f5065,axiom,
! [X0] :
( v1_int_1(X0)
=> ! [X1] :
( ( l1_group_1(X1)
& v4_group_1(X1)
& v3_group_1(X1)
& ~ v3_struct_0(X1) )
=> k6_group_1(X1,X0,k2_group_1(X1)) = k2_group_1(X1) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+212.ax',t61_group_1) ).
fof(f5067,axiom,
! [X0] :
( v1_int_1(X0)
=> ! [X1] :
( v1_int_1(X1)
=> ! [X2] :
( ( l1_group_1(X2)
& v4_group_1(X2)
& v3_group_1(X2)
& ~ v3_struct_0(X2) )
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X2))
=> k6_group_1(X2,k2_xcmplx_0(X0,X1),X3) = k1_group_1(X2,k6_group_1(X2,X0,X3),k6_group_1(X2,X1,X3)) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+212.ax',t63_group_1) ).
fof(f5068,axiom,
! [X0] :
( m2_subset_1(X0,k1_numbers,k5_numbers)
=> ! [X1] :
( v1_int_1(X1)
=> ! [X2] :
( ( l1_group_1(X2)
& v4_group_1(X2)
& v3_group_1(X2)
& ~ v3_struct_0(X2) )
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X2))
=> k6_group_1(X2,k2_xcmplx_0(X0,X1),X3) = k1_group_1(X2,k6_group_1(X2,X0,X3),k6_group_1(X2,X1,X3)) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+212.ax',t64_group_1) ).
fof(f5069,axiom,
! [X0] :
( m2_subset_1(X0,k1_numbers,k5_numbers)
=> ! [X1] :
( v1_int_1(X1)
=> ! [X2] :
( ( l1_group_1(X2)
& v4_group_1(X2)
& v3_group_1(X2)
& ~ v3_struct_0(X2) )
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X2))
=> k6_group_1(X2,k2_xcmplx_0(X1,X0),X3) = k1_group_1(X2,k6_group_1(X2,X1,X3),k6_group_1(X2,X0,X3)) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+212.ax',t65_group_1) ).
fof(f5070,axiom,
! [X0] :
( v1_int_1(X0)
=> ! [X1] :
( ( l1_group_1(X1)
& v4_group_1(X1)
& v3_group_1(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> ( k6_group_1(X1,k2_xcmplx_0(X0,np__1),X2) = k1_group_1(X1,X2,k6_group_1(X1,X0,X2))
& k6_group_1(X1,k2_xcmplx_0(X0,np__1),X2) = k1_group_1(X1,k6_group_1(X1,X0,X2),X2) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+212.ax',t66_group_1) ).
fof(f5094,axiom,
! [X0] :
( l1_struct_0(X0)
=> ( v6_group_1(X0)
<=> v1_finset_1(u1_struct_0(X0)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+212.ax',d14_group_1) ).
fof(f5108,axiom,
! [X0] :
( l1_group_1(X0)
=> l1_struct_0(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+212.ax',dt_l1_group_1) ).
fof(f5109,axiom,
? [X0] : l1_group_1(X0),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+212.ax',existence_l1_group_1) ).
fof(f5112,axiom,
! [X0] :
( ( l1_group_1(X0)
& ~ v3_struct_0(X0) )
=> m1_subset_1(k2_group_1(X0),u1_struct_0(X0)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+212.ax',dt_k2_group_1) ).
fof(f5123,axiom,
! [X0] :
( l1_group_1(X0)
=> ( m2_relset_1(u1_group_1(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& v1_funct_2(u1_group_1(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& v1_funct_1(u1_group_1(X0)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+212.ax',dt_u1_group_1) ).
fof(f5164,axiom,
! [X0] :
( ( l1_rlvect_1(X0)
& ~ v3_struct_0(X0) )
=> ( ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X0))
=> ( ? [X4] :
( k2_rlvect_1(X0,X1,X4) = k1_rlvect_1(X0)
& m1_subset_1(X4,u1_struct_0(X0)) )
& k2_rlvect_1(X0,X1,k1_rlvect_1(X0)) = X1
& k2_rlvect_1(X0,k2_rlvect_1(X0,X1,X2),X3) = k2_rlvect_1(X0,X1,k2_rlvect_1(X0,X2,X3))
& k2_rlvect_1(X0,X1,X2) = k2_rlvect_1(X0,X2,X1) ) ) ) )
<=> ( l1_rlvect_1(X0)
& v6_rlvect_1(X0)
& v5_rlvect_1(X0)
& v4_rlvect_1(X0)
& v3_rlvect_1(X0)
& ~ v3_struct_0(X0) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+213.ax',t7_vectsp_1) ).
fof(f5240,axiom,
! [X0] :
( ( l1_rlvect_1(X0)
& v6_rlvect_1(X0)
& v5_rlvect_1(X0)
& v4_rlvect_1(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ( k2_rlvect_1(X0,X1,X2) = k1_rlvect_1(X0)
<=> k5_rlvect_1(X0,X1) = X2 ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+213.ax',t63_vectsp_1) ).
fof(f5269,axiom,
! [X0] :
( ( l1_rlvect_1(X0)
& v6_rlvect_1(X0)
& v5_rlvect_1(X0)
& v4_rlvect_1(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> k2_rlvect_1(X0,X1,X2) = k5_rlvect_1(X0,k2_rlvect_1(X0,k5_rlvect_1(X0,X2),k5_rlvect_1(X0,X1))) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+213.ax',t89_vectsp_1) ).
fof(f5272,axiom,
! [X0] :
( ( l1_rlvect_1(X0)
& v6_rlvect_1(X0)
& v5_rlvect_1(X0)
& v4_rlvect_1(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> k5_rlvect_1(X0,k2_rlvect_1(X0,k5_rlvect_1(X0,X1),X2)) = k2_rlvect_1(X0,k5_rlvect_1(X0,X2),X1) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+213.ax',t92_vectsp_1) ).
fof(f5280,axiom,
? [X0] : l3_vectsp_1(X0),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+213.ax',existence_l3_vectsp_1) ).
fof(f5305,axiom,
? [X0] :
( v3_realset2(X0)
& l1_struct_0(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+225.ax',rc2_realset2) ).
fof(f5310,axiom,
! [X0] :
( ( l1_rlvect_1(X0)
& ~ v3_struct_0(X0) )
=> ( v4_rlvect_1(X0)
<=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X0))
=> k1_binop_1(u1_rlvect_1(X0),k1_binop_1(u1_rlvect_1(X0),X1,X2),X3) = k1_binop_1(u1_rlvect_1(X0),X1,k1_binop_1(u1_rlvect_1(X0),X2,X3)) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+225.ax',d3_realset2) ).
fof(f5311,axiom,
! [X0] :
( ( l1_rlvect_1(X0)
& ~ v3_struct_0(X0) )
=> ( v3_rlvect_1(X0)
<=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> k1_binop_1(u1_rlvect_1(X0),X1,X2) = k1_binop_1(u1_rlvect_1(X0),X2,X1) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+225.ax',d4_realset2) ).
fof(f5312,axiom,
! [X0] :
( l1_struct_0(X0)
=> ( v3_realset2(X0)
<=> v1_realset1(u1_struct_0(X0)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+225.ax',d5_realset2) ).
fof(f5313,axiom,
! [X0] :
( ~ v1_realset1(X0)
=> ! [X1] :
( ( m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
& v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
& v1_funct_1(X1) )
=> ! [X2] :
( ( m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
& v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
& v1_funct_1(X2) )
=> ! [X3] :
( m1_subset_1(X3,X0)
=> ! [X4] :
( m1_subset_1(X4,k4_xboole_0(X0,k5_realset1(X0,X3)))
=> ! [X5] :
( ( l3_vectsp_1(X5)
& ~ v3_realset2(X5)
& v3_vectsp_1(X5) )
=> ( X5 = k1_realset2(X0,X1,X2,X3,X4)
<=> ( X4 = u1_vectsp_1(X5)
& X3 = u2_struct_0(X5)
& X2 = u1_group_1(X5)
& X1 = u1_rlvect_1(X5)
& X0 = u1_struct_0(X5) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+225.ax',d6_realset2) ).
fof(f5314,axiom,
! [X0] :
( l1_struct_0(X0)
=> ( v3_realset2(X0)
<=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> X1 = X2 ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+225.ax',d7_realset2) ).
fof(f5353,axiom,
! [X0,X1,X2,X3,X4] :
( ( m1_subset_1(X4,k4_xboole_0(X0,k5_realset1(X0,X3)))
& m1_subset_1(X3,X0)
& m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
& v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
& v1_funct_1(X2)
& m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
& v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
& v1_funct_1(X1)
& ~ v1_realset1(X0) )
=> ( l3_vectsp_1(k1_realset2(X0,X1,X2,X3,X4))
& ~ v3_realset2(k1_realset2(X0,X1,X2,X3,X4))
& v3_vectsp_1(k1_realset2(X0,X1,X2,X3,X4)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+225.ax',dt_k1_realset2) ).
fof(f5400,axiom,
! [X0] :
( ( l1_cat_1(X0)
& v2_cat_1(X0) )
=> ! [X1] :
( ( l1_cat_1(X1)
& v2_cat_1(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_cat_1(X0))
=> ! [X3] :
( m1_subset_1(X3,u1_cat_1(X1))
=> m1_subset_1(k1_domain_1(u1_cat_1(X0),u1_cat_1(X1),X2,X3),u1_cat_1(k11_cat_2(X0,X1))) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+237.ax',t34_cat_2) ).
fof(f5402,axiom,
! [X0] :
( ( l1_cat_1(X0)
& v2_cat_1(X0) )
=> ! [X1] :
( ( l1_cat_1(X1)
& v2_cat_1(X1) )
=> ! [X2] :
( m1_subset_1(X2,u2_cat_1(X0))
=> ! [X3] :
( m1_subset_1(X3,u2_cat_1(X1))
=> m1_subset_1(k1_domain_1(u2_cat_1(X0),u2_cat_1(X1),X2,X3),u2_cat_1(k11_cat_2(X0,X1))) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+237.ax',t36_cat_2) ).
fof(f5461,axiom,
! [X0,X1] :
( ( l1_cat_1(X1)
& v2_cat_1(X1)
& l1_cat_1(X0)
& v2_cat_1(X0) )
=> ( l1_cat_1(k11_cat_2(X0,X1))
& v2_cat_1(k11_cat_2(X0,X1)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+237.ax',dt_k11_cat_2) ).
fof(f5479,axiom,
? [X0] :
( v3_filter_0(X0)
& v10_lattices(X0)
& v9_lattices(X0)
& v8_lattices(X0)
& v7_lattices(X0)
& v6_lattices(X0)
& v5_lattices(X0)
& v4_lattices(X0)
& v3_lattices(X0)
& ~ v3_struct_0(X0)
& l3_lattices(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+242.ax',rc1_filter_0) ).
fof(f5482,axiom,
! [X0,X1] :
( ( m1_filter_0(X1,X0)
& l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ( v10_lattices(k8_filter_0(X0,X1))
& v9_lattices(k8_filter_0(X0,X1))
& v8_lattices(k8_filter_0(X0,X1))
& v7_lattices(k8_filter_0(X0,X1))
& v6_lattices(k8_filter_0(X0,X1))
& v5_lattices(k8_filter_0(X0,X1))
& v4_lattices(k8_filter_0(X0,X1))
& v3_lattices(k8_filter_0(X0,X1))
& ~ v3_struct_0(k8_filter_0(X0,X1)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+242.ax',fc2_filter_0) ).
fof(f5483,axiom,
! [X0] :
( ( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X0))
=> ( r3_lattices(X0,X1,X2)
=> ( r3_lattices(X0,k3_lattices(X0,X3,X1),k3_lattices(X0,X2,X3))
& r3_lattices(X0,k3_lattices(X0,X1,X3),k3_lattices(X0,X3,X2))
& r3_lattices(X0,k3_lattices(X0,X1,X3),k3_lattices(X0,X2,X3))
& r3_lattices(X0,k3_lattices(X0,X3,X1),k3_lattices(X0,X3,X2)) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+242.ax',t1_filter_0) ).
fof(f5484,axiom,
! [X0] :
( ( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X0))
=> ( r3_lattices(X0,X1,X2)
=> ( r3_lattices(X0,k4_lattices(X0,X3,X1),X2)
& r3_lattices(X0,k4_lattices(X0,X1,X3),X2) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+242.ax',t2_filter_0) ).
fof(f5485,axiom,
! [X0] :
( ( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X0))
=> ( r3_lattices(X0,X1,X2)
=> ( r3_lattices(X0,X1,k3_lattices(X0,X2,X3))
& r3_lattices(X0,X1,k3_lattices(X0,X3,X2)) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+242.ax',t3_filter_0) ).
fof(f5486,axiom,
! [X0] :
( ( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X0))
=> ! [X4] :
( m1_subset_1(X4,u1_struct_0(X0))
=> ( ( r3_lattices(X0,X3,X4)
& r3_lattices(X0,X1,X2) )
=> ( r3_lattices(X0,k3_lattices(X0,X1,X3),k3_lattices(X0,X4,X2))
& r3_lattices(X0,k3_lattices(X0,X1,X3),k3_lattices(X0,X2,X4)) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+242.ax',t4_filter_0) ).
fof(f5487,axiom,
! [X0] :
( ( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X0))
=> ! [X4] :
( m1_subset_1(X4,u1_struct_0(X0))
=> ( ( r3_lattices(X0,X3,X4)
& r3_lattices(X0,X1,X2) )
=> ( r3_lattices(X0,k4_lattices(X0,X1,X3),k4_lattices(X0,X4,X2))
& r3_lattices(X0,k4_lattices(X0,X1,X3),k4_lattices(X0,X2,X4)) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+242.ax',t5_filter_0) ).
fof(f5488,axiom,
! [X0] :
( ( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X0))
=> ( ( r3_lattices(X0,X3,X2)
& r3_lattices(X0,X1,X2) )
=> r3_lattices(X0,k3_lattices(X0,X1,X3),X2) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+242.ax',t6_filter_0) ).
fof(f5489,axiom,
! [X0] :
( ( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X0))
=> ( ( r3_lattices(X0,X1,X3)
& r3_lattices(X0,X1,X2) )
=> r3_lattices(X0,X1,k4_lattices(X0,X2,X3)) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+242.ax',t7_filter_0) ).
fof(f5490,axiom,
! [X0] :
( ( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( ( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
& ~ v1_xboole_0(X1) )
=> ( m1_filter_0(X1,X0)
<=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X0))
=> ( ( r2_hidden(X3,X1)
& r2_hidden(X2,X1) )
<=> r2_hidden(k4_lattices(X0,X2,X3),X1) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+242.ax',d1_filter_0) ).
fof(f5492,axiom,
! [X0] :
( ( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( ( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
& ~ v1_xboole_0(X1) )
=> ( m1_filter_0(X1,X0)
<=> ( ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X0))
=> ( ( r3_lattices(X0,X2,X3)
& r2_hidden(X2,X1) )
=> r2_hidden(X3,X1) ) ) )
& ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X0))
=> ( ( r2_hidden(X3,X1)
& r2_hidden(X2,X1) )
=> r2_hidden(k4_lattices(X0,X2,X3),X1) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+242.ax',t9_filter_0) ).
fof(f5493,axiom,
! [X0] :
( ( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ! [X3] :
( m1_filter_0(X3,X0)
=> ( r2_hidden(X1,X3)
=> ( r2_hidden(k3_lattices(X0,X2,X1),X3)
& r2_hidden(k3_lattices(X0,X1,X2),X3) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+242.ax',t10_filter_0) ).
fof(f5494,axiom,
! [X0] :
( ( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_filter_0(X1,X0)
=> ? [X2] :
( r2_hidden(X2,X1)
& m1_subset_1(X2,u1_struct_0(X0)) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+242.ax',t11_filter_0) ).
fof(f5498,axiom,
! [X0] :
( ( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> m1_filter_0(u1_struct_0(X0),X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+242.ax',t15_filter_0) ).
fof(f5502,axiom,
! [X0] :
( ( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ( r2_hidden(X1,k2_filter_0(X0,X2))
<=> r3_lattices(X0,X2,X1) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+242.ax',t18_filter_0) ).
fof(f5503,axiom,
! [X0] :
( ( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ( r2_hidden(k3_lattices(X0,X2,X1),k2_filter_0(X0,X1))
& r2_hidden(k3_lattices(X0,X1,X2),k2_filter_0(X0,X1))
& r2_hidden(X1,k2_filter_0(X0,X1)) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+242.ax',t19_filter_0) ).
fof(f5505,axiom,
! [X0] :
( ( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_filter_0(X1,X0)
=> ( v1_filter_0(X1,X0)
<=> ( ! [X2] :
( m1_filter_0(X2,X0)
=> ( r1_tarski(X1,X2)
=> ( X1 = X2
| X2 = u1_struct_0(X0) ) ) )
& X1 != u1_struct_0(X0) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+242.ax',d4_filter_0) ).
fof(f5507,axiom,
! [X0] :
( ( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ( v13_lattices(X0)
=> ! [X1] :
( m1_filter_0(X1,X0)
=> ~ ( ! [X2] :
( m1_filter_0(X2,X0)
=> ~ ( v1_filter_0(X2,X0)
& r1_tarski(X1,X2) ) )
& X1 != u1_struct_0(X0) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+242.ax',t22_filter_0) ).
fof(f5508,axiom,
! [X0] :
( ( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ~ ( k2_filter_0(X0,X1) = u1_struct_0(X0)
& ~ ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> k4_lattices(X0,X1,X2) = X1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+242.ax',t23_filter_0) ).
fof(f5510,axiom,
! [X0] :
( ( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( ( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
& ~ v1_xboole_0(X1) )
=> ! [X2] :
( m1_filter_0(X2,X0)
=> ( X2 = k3_filter_0(X0,X1)
<=> ( ! [X3] :
( m1_filter_0(X3,X0)
=> ( r1_tarski(X1,X3)
=> r1_tarski(X2,X3) ) )
& r1_tarski(X1,X2) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+242.ax',d5_filter_0) ).
fof(f5512,axiom,
! [X0] :
( ( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_filter_0(X1,X0)
=> k3_filter_0(X0,X1) = X1 ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+242.ax',t26_filter_0) ).
fof(f5513,axiom,
! [X0] :
( ( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( ( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
& ~ v1_xboole_0(X1) )
=> ! [X2] :
( ( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
& ~ v1_xboole_0(X2) )
=> ( r1_tarski(X1,X2)
=> r1_tarski(k3_filter_0(X0,X1),k3_filter_0(X0,X2)) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+242.ax',t27_filter_0) ).
fof(f5515,axiom,
! [X0] :
( ( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ! [X2] :
( ( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
& ~ v1_xboole_0(X2) )
=> ( r2_hidden(X1,X2)
=> r1_tarski(k2_filter_0(X0,X1),k3_filter_0(X0,X2)) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+242.ax',t29_filter_0) ).
fof(f5526,axiom,
! [X0] :
( ( l3_lattices(X0)
& v3_filter_0(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> v14_lattices(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+242.ax',t37_filter_0) ).
fof(f5527,axiom,
! [X0] :
( ( l3_lattices(X0)
& v3_filter_0(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> k4_filter_0(X0,X1,X1) = k6_lattices(X0) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+242.ax',t38_filter_0) ).
fof(f5528,axiom,
! [X0] :
( ( l3_lattices(X0)
& v3_filter_0(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> v11_lattices(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+242.ax',t39_filter_0) ).
fof(f5529,axiom,
! [X0] :
( ( l3_lattices(X0)
& v17_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> v3_filter_0(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+242.ax',t40_filter_0) ).
fof(f5530,axiom,
! [X0] :
( ( l3_lattices(X0)
& v3_filter_0(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ! [X3] :
( m1_filter_0(X3,X0)
=> ( ( r2_hidden(k4_filter_0(X0,X1,X2),X3)
& r2_hidden(X1,X3) )
=> r2_hidden(X2,X3) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+242.ax',t41_filter_0) ).
fof(f5531,axiom,
! [X0] :
( ( l3_lattices(X0)
& v3_filter_0(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ! [X3] :
( m1_filter_0(X3,X0)
=> ( r2_hidden(X1,X3)
=> r2_hidden(k4_filter_0(X0,X2,X1),X3) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+242.ax',t42_filter_0) ).
fof(f5536,axiom,
! [X0] :
( ( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( ( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
& ~ v1_xboole_0(X1) )
=> ! [X2] :
( ( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
& ~ v1_xboole_0(X2) )
=> ( k3_filter_0(X0,k4_subset_1(u1_struct_0(X0),X1,X2)) = k3_filter_0(X0,k4_subset_1(u1_struct_0(X0),X1,k3_filter_0(X0,X2)))
& k3_filter_0(X0,k4_subset_1(u1_struct_0(X0),X1,X2)) = k3_filter_0(X0,k4_subset_1(u1_struct_0(X0),k3_filter_0(X0,X1),X2)) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+242.ax',t47_filter_0) ).
fof(f5542,axiom,
! [X0] :
( ( l3_lattices(X0)
& v3_filter_0(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X0))
=> ! [X4] :
( m1_filter_0(X4,X0)
=> ( ( r2_hidden(k4_filter_0(X0,X2,X3),X4)
& r2_hidden(k4_filter_0(X0,X1,X2),X4) )
=> r2_hidden(k4_filter_0(X0,X1,X3),X4) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+242.ax',t54_filter_0) ).
fof(f5543,axiom,
! [X0] :
( ( l3_lattices(X0)
& v17_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> k4_filter_0(X0,X1,X2) = k3_lattices(X0,k7_lattices(X0,X1),X2) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+242.ax',t55_filter_0) ).
fof(f5544,axiom,
! [X0] :
( ( l3_lattices(X0)
& v17_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ( r3_lattices(X0,X1,X2)
<=> k4_lattices(X0,X1,k7_lattices(X0,X2)) = k5_lattices(X0) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+242.ax',t56_filter_0) ).
fof(f5545,axiom,
! [X0] :
( ( l3_lattices(X0)
& v17_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_filter_0(X1,X0)
=> ( v1_filter_0(X1,X0)
<=> ( ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ( r2_hidden(k7_lattices(X0,X2),X1)
| r2_hidden(X2,X1) ) )
& X1 != u1_struct_0(X0) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+242.ax',t57_filter_0) ).
fof(f5547,axiom,
! [X0] :
( ( l3_lattices(X0)
& v17_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_filter_0(X1,X0)
=> ( v1_filter_0(X1,X0)
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ( r2_hidden(X2,X1)
<=> ~ r2_hidden(k7_lattices(X0,X2),X1) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+242.ax',t59_filter_0) ).
fof(f5548,axiom,
! [X0] :
( ( l3_lattices(X0)
& v17_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ~ ( ! [X3] :
( m1_filter_0(X3,X0)
=> ~ ( ( ( r2_hidden(X2,X3)
& ~ r2_hidden(X1,X3) )
| ( ~ r2_hidden(X2,X3)
& r2_hidden(X1,X3) ) )
& v1_filter_0(X3,X0) ) )
& X1 != X2 ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+242.ax',t60_filter_0) ).
fof(f5549,axiom,
! [X0] :
( ( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_filter_0(X1,X0)
=> ! [X2] :
( ( l3_lattices(X2)
& v10_lattices(X2)
& ~ v3_struct_0(X2) )
=> ( X2 = k8_filter_0(X0,X1)
<=> ? [X3] :
( ? [X4] :
( X2 = g3_lattices(X1,X3,X4)
& X4 = k1_realset1(u1_lattices(X0),X1)
& X3 = k1_realset1(u2_lattices(X0),X1)
& m2_relset_1(X4,k2_zfmisc_1(X1,X1),X1)
& v1_funct_2(X4,k2_zfmisc_1(X1,X1),X1)
& v1_funct_1(X4) )
& m2_relset_1(X3,k2_zfmisc_1(X1,X1),X1)
& v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
& v1_funct_1(X3) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+242.ax',d10_filter_0) ).
fof(f5552,axiom,
! [X0] :
( ( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_filter_0(X1,X0)
=> ( u1_lattices(k8_filter_0(X0,X1)) = k1_realset1(u1_lattices(X0),X1)
& u2_lattices(k8_filter_0(X0,X1)) = k1_realset1(u2_lattices(X0),X1)
& u1_struct_0(k8_filter_0(X0,X1)) = X1 ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+242.ax',t63_filter_0) ).
fof(f5553,axiom,
! [X0] :
( ( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ! [X3] :
( m1_filter_0(X3,X0)
=> ! [X4] :
( m1_subset_1(X4,u1_struct_0(k8_filter_0(X0,X3)))
=> ! [X5] :
( m1_subset_1(X5,u1_struct_0(k8_filter_0(X0,X3)))
=> ( ( X2 = X5
& X1 = X4 )
=> ( k4_lattices(X0,X1,X2) = k4_lattices(k8_filter_0(X0,X3),X4,X5)
& k3_lattices(X0,X1,X2) = k3_lattices(k8_filter_0(X0,X3),X4,X5) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+242.ax',t64_filter_0) ).
fof(f5554,axiom,
! [X0] :
( ( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ! [X3] :
( m1_filter_0(X3,X0)
=> ! [X4] :
( m1_subset_1(X4,u1_struct_0(k8_filter_0(X0,X3)))
=> ! [X5] :
( m1_subset_1(X5,u1_struct_0(k8_filter_0(X0,X3)))
=> ( ( X2 = X5
& X1 = X4 )
=> ( r3_lattices(X0,X1,X2)
<=> r3_lattices(k8_filter_0(X0,X3),X4,X5) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+242.ax',t65_filter_0) ).
fof(f5555,axiom,
! [X0] :
( ( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_filter_0(X1,X0)
=> ( v14_lattices(X0)
=> v14_lattices(k8_filter_0(X0,X1)) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+242.ax',t66_filter_0) ).
fof(f5557,axiom,
! [X0] :
( ( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_filter_0(X1,X0)
=> ( v11_lattices(X0)
=> v11_lattices(k8_filter_0(X0,X1)) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+242.ax',t68_filter_0) ).
fof(f5559,axiom,
! [X0] :
( ( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> v13_lattices(k8_filter_0(X0,k2_filter_0(X0,X1))) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+242.ax',t70_filter_0) ).
fof(f5560,axiom,
! [X0] :
( ( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> k5_lattices(k8_filter_0(X0,k2_filter_0(X0,X1))) = X1 ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+242.ax',t71_filter_0) ).
fof(f5561,axiom,
! [X0] :
( ( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ( v14_lattices(X0)
=> k6_lattices(k8_filter_0(X0,k2_filter_0(X0,X1))) = k6_lattices(X0) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+242.ax',t72_filter_0) ).
fof(f5565,axiom,
! [X0] :
( ( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> k9_filter_0(X0,X1,X2) = k4_lattices(X0,k4_filter_0(X0,X1,X2),k4_filter_0(X0,X2,X1)) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+242.ax',d11_filter_0) ).
fof(f5567,axiom,
! [X0] :
( ( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> k9_filter_0(X0,X1,X2) = k9_filter_0(X0,X2,X1) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+242.ax',t77_filter_0) ).
fof(f5568,axiom,
! [X0] :
( ( l3_lattices(X0)
& v3_filter_0(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X0))
=> ! [X4] :
( m1_filter_0(X4,X0)
=> ( ( r2_hidden(k9_filter_0(X0,X2,X3),X4)
& r2_hidden(k9_filter_0(X0,X1,X2),X4) )
=> r2_hidden(k9_filter_0(X0,X1,X3),X4) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+242.ax',t78_filter_0) ).
fof(f5569,axiom,
! [X0] :
( ( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_filter_0(X1,X0)
=> ! [X2] :
( v1_relat_1(X2)
=> ( X2 = k10_filter_0(X0,X1)
<=> ( ! [X3] :
( m1_subset_1(X3,u1_struct_0(X0))
=> ! [X4] :
( m1_subset_1(X4,u1_struct_0(X0))
=> ( r2_hidden(k1_domain_1(u1_struct_0(X0),u1_struct_0(X0),X3,X4),X2)
<=> r2_hidden(k9_filter_0(X0,X3,X4),X1) ) ) )
& r1_tarski(k3_relat_1(X2),u1_struct_0(X0)) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+242.ax',d12_filter_0) ).
fof(f5571,axiom,
! [X0] :
( ( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_filter_0(X1,X0)
=> m2_relset_1(k10_filter_0(X0,X1),u1_struct_0(X0),u1_struct_0(X0)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+242.ax',t80_filter_0) ).
fof(f5583,axiom,
! [X0] :
( ( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_filter_0(X1,X0)
=> ( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
& ~ v1_xboole_0(X1) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+242.ax',dt_m1_filter_0) ).
fof(f5584,axiom,
! [X0] :
( ( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ? [X1] : m1_filter_0(X1,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+242.ax',existence_m1_filter_0) ).
fof(f5586,axiom,
! [X0,X1] :
( ( m1_subset_1(X1,u1_struct_0(X0))
& l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> m1_filter_0(k2_filter_0(X0,X1),X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+242.ax',dt_k2_filter_0) ).
fof(f5587,axiom,
! [X0,X1] :
( ( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
& ~ v1_xboole_0(X1)
& l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> m1_filter_0(k3_filter_0(X0,X1),X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+242.ax',dt_k3_filter_0) ).
fof(f5588,axiom,
! [X0,X1,X2] :
( ( m1_subset_1(X2,u1_struct_0(X0))
& m1_subset_1(X1,u1_struct_0(X0))
& l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> m1_subset_1(k4_filter_0(X0,X1,X2),u1_struct_0(X0)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+242.ax',dt_k4_filter_0) ).
fof(f5594,axiom,
! [X0,X1] :
( ( m1_filter_0(X1,X0)
& l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ( l3_lattices(k8_filter_0(X0,X1))
& v10_lattices(k8_filter_0(X0,X1))
& ~ v3_struct_0(k8_filter_0(X0,X1)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+242.ax',dt_k8_filter_0) ).
fof(f5595,axiom,
! [X0,X1,X2] :
( ( m1_subset_1(X2,u1_struct_0(X0))
& m1_subset_1(X1,u1_struct_0(X0))
& l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> m1_subset_1(k9_filter_0(X0,X1,X2),u1_struct_0(X0)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+242.ax',dt_k9_filter_0) ).
fof(f5596,axiom,
! [X0,X1] :
( ( m1_filter_0(X1,X0)
& l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> v1_relat_1(k10_filter_0(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+242.ax',dt_k10_filter_0) ).
fof(f5607,axiom,
! [X0] :
( ( l3_lattices(X0)
& ~ v3_struct_0(X0) )
=> ( v3_lattices(k1_lattice2(X0))
& ~ v3_struct_0(k1_lattice2(X0)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+253.ax',fc1_lattice2) ).
fof(f5608,axiom,
! [X0] :
( ( l2_lattices(X0)
& v4_lattices(X0)
& ~ v3_struct_0(X0) )
=> ( v1_partfun1(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& v1_binop_1(u2_lattices(X0),u1_struct_0(X0))
& v1_funct_2(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& v1_funct_1(u2_lattices(X0))
& v1_relat_1(u2_lattices(X0)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+253.ax',fc2_lattice2) ).
fof(f5609,axiom,
! [X0] :
( ( l2_lattices(X0)
& v5_lattices(X0)
& ~ v3_struct_0(X0) )
=> ( v1_partfun1(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& v2_binop_1(u2_lattices(X0),u1_struct_0(X0))
& v1_funct_2(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& v1_funct_1(u2_lattices(X0))
& v1_relat_1(u2_lattices(X0)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+253.ax',fc3_lattice2) ).
fof(f5610,axiom,
! [X0] :
( ( l1_lattices(X0)
& v6_lattices(X0)
& ~ v3_struct_0(X0) )
=> ( v1_partfun1(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& v1_binop_1(u1_lattices(X0),u1_struct_0(X0))
& v1_funct_2(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& v1_funct_1(u1_lattices(X0))
& v1_relat_1(u1_lattices(X0)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+253.ax',fc4_lattice2) ).
fof(f5611,axiom,
! [X0] :
( ( l1_lattices(X0)
& v7_lattices(X0)
& ~ v3_struct_0(X0) )
=> ( v1_partfun1(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& v2_binop_1(u1_lattices(X0),u1_struct_0(X0))
& v1_funct_2(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& v1_funct_1(u1_lattices(X0))
& v1_relat_1(u1_lattices(X0)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+253.ax',fc5_lattice2) ).
fof(f5612,axiom,
! [X0] :
( ( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ( v10_lattices(k1_lattice2(X0))
& v9_lattices(k1_lattice2(X0))
& v8_lattices(k1_lattice2(X0))
& v7_lattices(k1_lattice2(X0))
& v6_lattices(k1_lattice2(X0))
& v5_lattices(k1_lattice2(X0))
& v4_lattices(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0))
& ~ v3_struct_0(k1_lattice2(X0)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+253.ax',fc6_lattice2) ).
fof(f5617,axiom,
! [X0] :
( l3_lattices(X0)
=> ( ( v10_lattices(X0)
& v6_group_1(X0)
& ~ v3_struct_0(X0) )
=> ( v13_lattices(X0)
& v10_lattices(X0)
& v9_lattices(X0)
& v8_lattices(X0)
& v7_lattices(X0)
& v6_lattices(X0)
& v5_lattices(X0)
& v4_lattices(X0)
& ~ v3_struct_0(X0) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+253.ax',cc3_lattice2) ).
fof(f5618,axiom,
! [X0] :
( l3_lattices(X0)
=> ( ( v10_lattices(X0)
& v6_group_1(X0)
& ~ v3_struct_0(X0) )
=> ( v14_lattices(X0)
& v10_lattices(X0)
& v9_lattices(X0)
& v8_lattices(X0)
& v7_lattices(X0)
& v6_lattices(X0)
& v5_lattices(X0)
& v4_lattices(X0)
& ~ v3_struct_0(X0) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+253.ax',cc4_lattice2) ).
fof(f5619,axiom,
! [X0] :
( l3_lattices(X0)
=> ( ( v10_lattices(X0)
& v6_group_1(X0)
& ~ v3_struct_0(X0) )
=> ( v15_lattices(X0)
& v14_lattices(X0)
& v13_lattices(X0)
& v10_lattices(X0)
& v9_lattices(X0)
& v8_lattices(X0)
& v7_lattices(X0)
& v6_lattices(X0)
& v5_lattices(X0)
& v4_lattices(X0)
& ~ v3_struct_0(X0) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+253.ax',cc5_lattice2) ).
fof(f5622,axiom,
! [X0,X1] :
( ~ v1_xboole_0(X1)
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(X0))
=> ! [X3] :
( ( m2_relset_1(X3,X0,X1)
& v1_funct_2(X3,X0,X1)
& v1_funct_1(X3) )
=> k1_relat_1(k2_partfun1(X0,X1,X3,X2)) = X2 ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+253.ax',t2_lattice2) ).
fof(f5625,axiom,
! [X0,X1] :
( ~ v1_xboole_0(X1)
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(X0))
=> ! [X3] :
( ( m2_relset_1(X3,X0,X1)
& v1_funct_2(X3,X0,X1)
& v1_funct_1(X3) )
=> ! [X4] :
( ( m2_relset_1(X4,X0,X1)
& v1_funct_2(X4,X0,X1)
& v1_funct_1(X4) )
=> ( k2_partfun1(X0,X1,X3,X2) = k2_partfun1(X0,X1,X4,X2)
<=> ! [X5] :
( m1_subset_1(X5,X0)
=> ( r2_hidden(X5,X2)
=> k1_funct_1(X4,X5) = k1_funct_1(X3,X5) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+253.ax',t5_lattice2) ).
fof(f5626,axiom,
! [X0,X1] :
( ~ v1_xboole_0(X1)
=> ! [X2] :
( ( m2_relset_1(X2,X0,X1)
& v1_funct_2(X2,X0,X1)
& v1_funct_1(X2) )
=> ! [X3] :
( ( m2_relset_1(X3,X0,X1)
& v1_funct_2(X3,X0,X1)
& v1_funct_1(X3) )
=> ! [X4] :
( m2_relset_1(k1_funct_4(X2,k2_partfun1(X0,X1,X3,X4)),X0,X1)
& v1_funct_2(k1_funct_4(X2,k2_partfun1(X0,X1,X3,X4)),X0,X1)
& v1_funct_1(k1_funct_4(X2,k2_partfun1(X0,X1,X3,X4))) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+253.ax',t6_lattice2) ).
fof(f5627,axiom,
! [X0,X1] :
( ~ v1_xboole_0(X1)
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(X0))
=> ! [X3] :
( ( m2_relset_1(X3,X0,X1)
& v1_funct_2(X3,X0,X1)
& v1_funct_1(X3) )
=> ! [X4] :
( ( m2_relset_1(X4,X0,X1)
& v1_funct_2(X4,X0,X1)
& v1_funct_1(X4) )
=> k1_funct_4(k2_partfun1(X0,X1,X3,X2),X4) = X4 ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+253.ax',t7_lattice2) ).
fof(f5629,axiom,
! [X0,X1] :
( ~ v1_xboole_0(X1)
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(X0))
=> ! [X3] :
( ( m2_relset_1(X3,X0,X1)
& v1_funct_2(X3,X0,X1)
& v1_funct_1(X3) )
=> k1_funct_4(X3,k2_partfun1(X0,X1,X3,X2)) = X3 ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+253.ax',t9_lattice2) ).
fof(f5630,axiom,
! [X0,X1] :
( ~ v1_xboole_0(X1)
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(X0))
=> ! [X3] :
( ( m2_relset_1(X3,X0,X1)
& v1_funct_2(X3,X0,X1)
& v1_funct_1(X3) )
=> ! [X4] :
( ( m2_relset_1(X4,X0,X1)
& v1_funct_2(X4,X0,X1)
& v1_funct_1(X4) )
=> ( ! [X5] :
( m1_subset_1(X5,X0)
=> ( r2_hidden(X5,X2)
=> k1_funct_1(X3,X5) = k1_funct_1(X4,X5) ) )
=> k1_funct_4(X4,k2_partfun1(X0,X1,X3,X2)) = X4 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+253.ax',t10_lattice2) ).
fof(f5632,axiom,
! [X0,X1] :
( ~ v1_xboole_0(X1)
=> ! [X2] :
( ( m2_relset_1(X2,X0,X1)
& v1_funct_2(X2,X0,X1)
& v1_funct_1(X2) )
=> ! [X3] :
( ( m2_relset_1(X3,X0,X1)
& v1_funct_2(X3,X0,X1)
& v1_funct_1(X3) )
=> ! [X4] :
( m1_subset_1(X4,k5_finsub_1(X0))
=> k1_funct_4(k2_partfun1(X0,X1,X2,X4),X3) = X3 ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+253.ax',t12_lattice2) ).
fof(f5633,axiom,
! [X0,X1] :
( ~ v1_xboole_0(X1)
=> ! [X2] :
( ( m2_relset_1(X2,X0,X1)
& v1_funct_2(X2,X0,X1)
& v1_funct_1(X2) )
=> ! [X3] :
( m1_subset_1(X3,k5_finsub_1(X0))
=> k1_relat_1(k2_partfun1(X0,X1,X2,X3)) = X3 ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+253.ax',t13_lattice2) ).
fof(f5634,axiom,
! [X0,X1] :
( ~ v1_xboole_0(X1)
=> ! [X2] :
( ( m2_relset_1(X2,X0,X1)
& v1_funct_2(X2,X0,X1)
& v1_funct_1(X2) )
=> ! [X3] :
( ( m2_relset_1(X3,X0,X1)
& v1_funct_2(X3,X0,X1)
& v1_funct_1(X3) )
=> ! [X4] :
( m1_subset_1(X4,k5_finsub_1(X0))
=> ( ! [X5] :
( m1_subset_1(X5,X0)
=> ( r2_hidden(X5,X4)
=> k1_funct_1(X2,X5) = k1_funct_1(X3,X5) ) )
=> k1_funct_4(X3,k2_partfun1(X0,X1,X2,X4)) = X3 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+253.ax',t14_lattice2) ).
fof(f5636,axiom,
! [X0,X1] :
( ~ v1_xboole_0(X1)
=> ! [X2] :
( ( m2_relset_1(X2,X0,X1)
& v1_funct_2(X2,X0,X1)
& v1_funct_1(X2) )
=> ! [X3] :
( ( m2_relset_1(X3,X0,X1)
& v1_funct_2(X3,X0,X1)
& v1_funct_1(X3) )
=> ! [X4] :
( m1_subset_1(X4,k5_finsub_1(X0))
=> ( k2_partfun1(X0,X1,X2,X4) = k2_partfun1(X0,X1,X3,X4)
=> k2_funct_2(X0,X1,X2,X4) = k2_funct_2(X0,X1,X3,X4) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+253.ax',t16_lattice2) ).
fof(f5639,axiom,
! [X0] :
( l3_lattices(X0)
=> k1_lattice2(X0) = g3_lattices(u1_struct_0(X0),u1_lattices(X0),u2_lattices(X0)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+253.ax',d2_lattice2) ).
fof(f5640,axiom,
! [X0] :
( ( l3_lattices(X0)
& ~ v3_struct_0(X0) )
=> ( u1_lattices(X0) = u2_lattices(k1_lattice2(X0))
& u2_lattices(X0) = u1_lattices(k1_lattice2(X0))
& u1_struct_0(X0) = u1_struct_0(k1_lattice2(X0)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+253.ax',t18_lattice2) ).
fof(f5641,axiom,
! [X0] :
( ( l3_lattices(X0)
& v3_lattices(X0)
& ~ v3_struct_0(X0) )
=> k1_lattice2(k1_lattice2(X0)) = X0 ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+253.ax',t19_lattice2) ).
fof(f5643,axiom,
! [X0] :
( ( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ( ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> k3_lattices(X0,X1,X2) = X2 )
=> X1 = k5_lattices(X0) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+253.ax',t21_lattice2) ).
fof(f5644,axiom,
! [X0] :
( ( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ( ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> k2_binop_1(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),u2_lattices(X0),X1,X2) = X2 )
=> X1 = k5_lattices(X0) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+253.ax',t22_lattice2) ).
fof(f5646,axiom,
! [X0] :
( ( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ( ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> k4_lattices(X0,X1,X2) = X2 )
=> X1 = k6_lattices(X0) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+253.ax',t24_lattice2) ).
fof(f5647,axiom,
! [X0] :
( ( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ( ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> k2_binop_1(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),u1_lattices(X0),X1,X2) = X2 )
=> X1 = k6_lattices(X0) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+253.ax',t25_lattice2) ).
fof(f5648,axiom,
! [X0] :
( ( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> v3_binop_1(u2_lattices(X0),u1_struct_0(X0)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+253.ax',t26_lattice2) ).
fof(f5650,axiom,
! [X0] :
( ( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ( v1_setwiseo(u2_lattices(X0),u1_struct_0(X0))
=> k5_lattices(X0) = k3_binop_1(u1_struct_0(X0),u2_lattices(X0)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+253.ax',t28_lattice2) ).
fof(f5652,axiom,
! [X0] :
( ( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> v3_binop_1(u1_lattices(X0),u1_struct_0(X0)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+253.ax',t30_lattice2) ).
fof(f5655,axiom,
! [X0] :
( ( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ( v1_setwiseo(u1_lattices(X0),u1_struct_0(X0))
=> k6_lattices(X0) = k3_binop_1(u1_struct_0(X0),u1_lattices(X0)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+253.ax',t33_lattice2) ).
fof(f5656,axiom,
! [X0] :
( ( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> r6_binop_1(u1_struct_0(X0),u2_lattices(X0),u2_lattices(X0)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+253.ax',t34_lattice2) ).
fof(f5658,axiom,
! [X0] :
( ( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ( r6_binop_1(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0))
=> v11_lattices(X0) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+253.ax',t36_lattice2) ).
fof(f5660,axiom,
! [X0] :
( ( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ( r6_binop_1(u1_struct_0(X0),u1_lattices(X0),u2_lattices(X0))
=> v11_lattices(X0) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+253.ax',t38_lattice2) ).
fof(f5661,axiom,
! [X0] :
( ( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> r6_binop_1(u1_struct_0(X0),u1_lattices(X0),u1_lattices(X0)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+253.ax',t39_lattice2) ).
fof(f5664,axiom,
! [X0] :
( ~ v1_xboole_0(X0)
=> ! [X1] :
( ( l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( m1_subset_1(X2,k5_finsub_1(X0))
=> ! [X3] :
( ( m2_relset_1(X3,X0,u1_struct_0(X1))
& v1_funct_2(X3,X0,u1_struct_0(X1))
& v1_funct_1(X3) )
=> k2_lattice2(X0,X1,X2,X3) = k7_setwiseo(X0,u1_struct_0(X1),u2_lattices(X1),X2,X3) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+253.ax',d3_lattice2) ).
fof(f5665,axiom,
! [X0] :
( ~ v1_xboole_0(X0)
=> ! [X1] :
( ( l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( m1_subset_1(X2,k5_finsub_1(X0))
=> ! [X3] :
( ( m2_relset_1(X3,X0,u1_struct_0(X1))
& v1_funct_2(X3,X0,u1_struct_0(X1))
& v1_funct_1(X3) )
=> k3_lattice2(X0,X1,X2,X3) = k7_setwiseo(X0,u1_struct_0(X1),u1_lattices(X1),X2,X3) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+253.ax',d4_lattice2) ).
fof(f5667,axiom,
! [X0] :
( ( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( ~ v1_xboole_0(X1)
=> ! [X2] :
( m1_subset_1(X2,X1)
=> ! [X3] :
( m1_subset_1(X3,k5_finsub_1(X1))
=> ! [X4] :
( ( m2_relset_1(X4,X1,u1_struct_0(X0))
& v1_funct_2(X4,X1,u1_struct_0(X0))
& v1_funct_1(X4) )
=> ( r2_hidden(X2,X3)
=> r3_lattices(X0,k8_funct_2(X1,u1_struct_0(X0),X4,X2),k2_lattice2(X1,X0,X3,X4)) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+253.ax',t43_lattice2) ).
fof(f5668,axiom,
! [X0] :
( ( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ! [X2] :
( ~ v1_xboole_0(X2)
=> ! [X3] :
( m1_subset_1(X3,k5_finsub_1(X2))
=> ! [X4] :
( ( m2_relset_1(X4,X2,u1_struct_0(X0))
& v1_funct_2(X4,X2,u1_struct_0(X0))
& v1_funct_1(X4) )
=> ( ? [X5] :
( r3_lattices(X0,X1,k8_funct_2(X2,u1_struct_0(X0),X4,X5))
& r2_hidden(X5,X3)
& m1_subset_1(X5,X2) )
=> r3_lattices(X0,X1,k2_lattice2(X2,X0,X3,X4)) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+253.ax',t44_lattice2) ).
fof(f5669,axiom,
! [X0] :
( ( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ! [X2] :
( ~ v1_xboole_0(X2)
=> ! [X3] :
( m1_subset_1(X3,k5_finsub_1(X2))
=> ! [X4] :
( ( m2_relset_1(X4,X2,u1_struct_0(X0))
& v1_funct_2(X4,X2,u1_struct_0(X0))
& v1_funct_1(X4) )
=> ( ! [X5] :
( m1_subset_1(X5,X2)
=> ( r2_hidden(X5,X3)
=> k8_funct_2(X2,u1_struct_0(X0),X4,X5) = X1 ) )
=> ( k2_lattice2(X2,X0,X3,X4) = X1
| X3 = k1_xboole_0 ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+253.ax',t45_lattice2) ).
fof(f5670,axiom,
! [X0] :
( ( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ! [X2] :
( ~ v1_xboole_0(X2)
=> ! [X3] :
( m1_subset_1(X3,k5_finsub_1(X2))
=> ! [X4] :
( ( m2_relset_1(X4,X2,u1_struct_0(X0))
& v1_funct_2(X4,X2,u1_struct_0(X0))
& v1_funct_1(X4) )
=> ( r3_lattices(X0,k2_lattice2(X2,X0,X3,X4),X1)
=> ! [X5] :
( m1_subset_1(X5,X2)
=> ( r2_hidden(X5,X3)
=> r3_lattices(X0,k8_funct_2(X2,u1_struct_0(X0),X4,X5),X1) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+253.ax',t46_lattice2) ).
fof(f5671,axiom,
! [X0] :
( ( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ! [X2] :
( ~ v1_xboole_0(X2)
=> ! [X3] :
( m1_subset_1(X3,k5_finsub_1(X2))
=> ! [X4] :
( ( m2_relset_1(X4,X2,u1_struct_0(X0))
& v1_funct_2(X4,X2,u1_struct_0(X0))
& v1_funct_1(X4) )
=> ( ! [X5] :
( m1_subset_1(X5,X2)
=> ( r2_hidden(X5,X3)
=> r3_lattices(X0,k8_funct_2(X2,u1_struct_0(X0),X4,X5),X1) ) )
=> ( r3_lattices(X0,k2_lattice2(X2,X0,X3,X4),X1)
| X3 = k1_xboole_0 ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+253.ax',t47_lattice2) ).
fof(f5672,axiom,
! [X0] :
( ( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( ~ v1_xboole_0(X1)
=> ! [X2] :
( m1_subset_1(X2,k5_finsub_1(X1))
=> ! [X3] :
( ( m2_relset_1(X3,X1,u1_struct_0(X0))
& v1_funct_2(X3,X1,u1_struct_0(X0))
& v1_funct_1(X3) )
=> ! [X4] :
( ( m2_relset_1(X4,X1,u1_struct_0(X0))
& v1_funct_2(X4,X1,u1_struct_0(X0))
& v1_funct_1(X4) )
=> ( ! [X5] :
( m1_subset_1(X5,X1)
=> ( r2_hidden(X5,X2)
=> r3_lattices(X0,k8_funct_2(X1,u1_struct_0(X0),X3,X5),k8_funct_2(X1,u1_struct_0(X0),X4,X5)) ) )
=> ( r3_lattices(X0,k2_lattice2(X1,X0,X2,X3),k2_lattice2(X1,X0,X2,X4))
| X2 = k1_xboole_0 ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+253.ax',t48_lattice2) ).
fof(f5673,axiom,
! [X0] :
( ( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( ~ v1_xboole_0(X1)
=> ! [X2] :
( m1_subset_1(X2,k5_finsub_1(X1))
=> ! [X3] :
( ( m2_relset_1(X3,X1,u1_struct_0(X0))
& v1_funct_2(X3,X1,u1_struct_0(X0))
& v1_funct_1(X3) )
=> ! [X4] :
( ( m2_relset_1(X4,X1,u1_struct_0(X0))
& v1_funct_2(X4,X1,u1_struct_0(X0))
& v1_funct_1(X4) )
=> ( k2_partfun1(X1,u1_struct_0(X0),X3,X2) = k2_partfun1(X1,u1_struct_0(X0),X4,X2)
=> ( k2_lattice2(X1,X0,X2,X3) = k2_lattice2(X1,X0,X2,X4)
| X2 = k1_xboole_0 ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+253.ax',t49_lattice2) ).
fof(f5676,axiom,
! [X0] :
( ( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(k1_lattice2(X0)))
=> ! [X4] :
( m1_subset_1(X4,u1_struct_0(k1_lattice2(X0)))
=> ( ( X2 = X4
& X1 = X3 )
=> ( k3_lattices(X0,X1,X2) = k4_lattices(k1_lattice2(X0),X3,X4)
& k4_lattices(X0,X1,X2) = k3_lattices(k1_lattice2(X0),X3,X4) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+253.ax',t52_lattice2) ).
fof(f5677,axiom,
! [X0] :
( ( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ( r3_lattices(X0,X1,X2)
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(k1_lattice2(X0)))
=> ! [X4] :
( m1_subset_1(X4,u1_struct_0(k1_lattice2(X0)))
=> ( ( X2 = X4
& X1 = X3 )
=> r3_lattices(k1_lattice2(X0),X4,X3) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+253.ax',t53_lattice2) ).
fof(f5678,axiom,
! [X0] :
( ( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(k1_lattice2(X0)))
=> ! [X4] :
( m1_subset_1(X4,u1_struct_0(k1_lattice2(X0)))
=> ( ( X2 = X4
& X1 = X3
& r3_lattices(k1_lattice2(X0),X3,X4) )
=> r3_lattices(X0,X2,X1) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+253.ax',t54_lattice2) ).
fof(f5679,axiom,
! [X0] :
( ( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( ~ v1_xboole_0(X1)
=> ! [X2] :
( m1_subset_1(X2,X1)
=> ! [X3] :
( m1_subset_1(X3,k5_finsub_1(X1))
=> ! [X4] :
( ( m2_relset_1(X4,X1,u1_struct_0(X0))
& v1_funct_2(X4,X1,u1_struct_0(X0))
& v1_funct_1(X4) )
=> ( r2_hidden(X2,X3)
=> r3_lattices(X0,k3_lattice2(X1,X0,X3,X4),k8_funct_2(X1,u1_struct_0(X0),X4,X2)) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+253.ax',t55_lattice2) ).
fof(f5680,axiom,
! [X0] :
( ( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ! [X2] :
( ~ v1_xboole_0(X2)
=> ! [X3] :
( m1_subset_1(X3,k5_finsub_1(X2))
=> ! [X4] :
( ( m2_relset_1(X4,X2,u1_struct_0(X0))
& v1_funct_2(X4,X2,u1_struct_0(X0))
& v1_funct_1(X4) )
=> ( ? [X5] :
( r3_lattices(X0,k8_funct_2(X2,u1_struct_0(X0),X4,X5),X1)
& r2_hidden(X5,X3)
& m1_subset_1(X5,X2) )
=> r3_lattices(X0,k3_lattice2(X2,X0,X3,X4),X1) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+253.ax',t56_lattice2) ).
fof(f5681,axiom,
! [X0] :
( ( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ! [X2] :
( ~ v1_xboole_0(X2)
=> ! [X3] :
( m1_subset_1(X3,k5_finsub_1(X2))
=> ! [X4] :
( ( m2_relset_1(X4,X2,u1_struct_0(X0))
& v1_funct_2(X4,X2,u1_struct_0(X0))
& v1_funct_1(X4) )
=> ( ! [X5] :
( m1_subset_1(X5,X2)
=> ( r2_hidden(X5,X3)
=> k8_funct_2(X2,u1_struct_0(X0),X4,X5) = X1 ) )
=> ( k3_lattice2(X2,X0,X3,X4) = X1
| X3 = k1_xboole_0 ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+253.ax',t57_lattice2) ).
fof(f5683,axiom,
! [X0] :
( ( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ! [X2] :
( ~ v1_xboole_0(X2)
=> ! [X3] :
( m1_subset_1(X3,k5_finsub_1(X2))
=> ! [X4] :
( ( m2_relset_1(X4,X2,u1_struct_0(X0))
& v1_funct_2(X4,X2,u1_struct_0(X0))
& v1_funct_1(X4) )
=> ( r3_lattices(X0,X1,k3_lattice2(X2,X0,X3,X4))
=> ! [X5] :
( m1_subset_1(X5,X2)
=> ( r2_hidden(X5,X3)
=> r3_lattices(X0,X1,k8_funct_2(X2,u1_struct_0(X0),X4,X5)) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+253.ax',t59_lattice2) ).
fof(f5684,axiom,
! [X0] :
( ( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( ~ v1_xboole_0(X1)
=> ! [X2] :
( m1_subset_1(X2,k5_finsub_1(X1))
=> ! [X3] :
( ( m2_relset_1(X3,X1,u1_struct_0(X0))
& v1_funct_2(X3,X1,u1_struct_0(X0))
& v1_funct_1(X3) )
=> ! [X4] :
( ( m2_relset_1(X4,X1,u1_struct_0(X0))
& v1_funct_2(X4,X1,u1_struct_0(X0))
& v1_funct_1(X4) )
=> ( k2_partfun1(X1,u1_struct_0(X0),X3,X2) = k2_partfun1(X1,u1_struct_0(X0),X4,X2)
=> ( k3_lattice2(X1,X0,X2,X3) = k3_lattice2(X1,X0,X2,X4)
| X2 = k1_xboole_0 ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+253.ax',t60_lattice2) ).
fof(f5685,axiom,
! [X0] :
( ( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ! [X2] :
( ~ v1_xboole_0(X2)
=> ! [X3] :
( m1_subset_1(X3,k5_finsub_1(X2))
=> ! [X4] :
( ( m2_relset_1(X4,X2,u1_struct_0(X0))
& v1_funct_2(X4,X2,u1_struct_0(X0))
& v1_funct_1(X4) )
=> ( ! [X5] :
( m1_subset_1(X5,X2)
=> ( r2_hidden(X5,X3)
=> r3_lattices(X0,X1,k8_funct_2(X2,u1_struct_0(X0),X4,X5)) ) )
=> ( r3_lattices(X0,X1,k3_lattice2(X2,X0,X3,X4))
| X3 = k1_xboole_0 ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+253.ax',t61_lattice2) ).
fof(f5686,axiom,
! [X0] :
( ( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( ~ v1_xboole_0(X1)
=> ! [X2] :
( m1_subset_1(X2,k5_finsub_1(X1))
=> ! [X3] :
( ( m2_relset_1(X3,X1,u1_struct_0(X0))
& v1_funct_2(X3,X1,u1_struct_0(X0))
& v1_funct_1(X3) )
=> ! [X4] :
( ( m2_relset_1(X4,X1,u1_struct_0(X0))
& v1_funct_2(X4,X1,u1_struct_0(X0))
& v1_funct_1(X4) )
=> ( ! [X5] :
( m1_subset_1(X5,X1)
=> ( r2_hidden(X5,X2)
=> r3_lattices(X0,k8_funct_2(X1,u1_struct_0(X0),X3,X5),k8_funct_2(X1,u1_struct_0(X0),X4,X5)) ) )
=> ( r3_lattices(X0,k3_lattice2(X1,X0,X2,X3),k3_lattice2(X1,X0,X2,X4))
| X2 = k1_xboole_0 ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+253.ax',t62_lattice2) ).
fof(f5687,axiom,
! [X0] :
( ( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ( v13_lattices(X0)
<=> v14_lattices(k1_lattice2(X0)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+253.ax',t63_lattice2) ).
fof(f5688,axiom,
! [X0] :
( ( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ( v14_lattices(X0)
<=> v13_lattices(k1_lattice2(X0)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+253.ax',t64_lattice2) ).
fof(f5689,axiom,
! [X0] :
( ( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ( ( l3_lattices(X0)
& v11_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
<=> ( l3_lattices(k1_lattice2(X0))
& v11_lattices(k1_lattice2(X0))
& v10_lattices(k1_lattice2(X0))
& ~ v3_struct_0(k1_lattice2(X0)) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+253.ax',t65_lattice2) ).
fof(f5690,axiom,
! [X0] :
( ( l3_lattices(X0)
& v13_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> r3_binop_1(u1_struct_0(X0),k5_lattices(X0),u2_lattices(X0)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+253.ax',t66_lattice2) ).
fof(f5691,axiom,
! [X0] :
( ( l3_lattices(X0)
& v13_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> v1_setwiseo(u2_lattices(X0),u1_struct_0(X0)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+253.ax',t67_lattice2) ).
fof(f5692,axiom,
! [X0] :
( ( l3_lattices(X0)
& v13_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> k5_lattices(X0) = k3_binop_1(u1_struct_0(X0),u2_lattices(X0)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+253.ax',t68_lattice2) ).
fof(f5693,axiom,
! [X0] :
( ~ v1_xboole_0(X0)
=> ! [X1] :
( m1_subset_1(X1,k5_finsub_1(X0))
=> ! [X2] :
( ( l3_lattices(X2)
& v13_lattices(X2)
& v10_lattices(X2)
& ~ v3_struct_0(X2) )
=> ! [X3] :
( ( m2_relset_1(X3,X0,u1_struct_0(X2))
& v1_funct_2(X3,X0,u1_struct_0(X2))
& v1_funct_1(X3) )
=> ! [X4] :
( ( m2_relset_1(X4,X0,u1_struct_0(X2))
& v1_funct_2(X4,X0,u1_struct_0(X2))
& v1_funct_1(X4) )
=> ( k2_partfun1(X0,u1_struct_0(X2),X3,X1) = k2_partfun1(X0,u1_struct_0(X2),X4,X1)
=> k2_lattice2(X0,X2,X1,X3) = k2_lattice2(X0,X2,X1,X4) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+253.ax',t69_lattice2) ).
fof(f5694,axiom,
! [X0] :
( ~ v1_xboole_0(X0)
=> ! [X1] :
( m1_subset_1(X1,k5_finsub_1(X0))
=> ! [X2] :
( ( l3_lattices(X2)
& v13_lattices(X2)
& v10_lattices(X2)
& ~ v3_struct_0(X2) )
=> ! [X3] :
( ( m2_relset_1(X3,X0,u1_struct_0(X2))
& v1_funct_2(X3,X0,u1_struct_0(X2))
& v1_funct_1(X3) )
=> ! [X4] :
( m1_subset_1(X4,u1_struct_0(X2))
=> ( ! [X5] :
( m1_subset_1(X5,X0)
=> ( r2_hidden(X5,X1)
=> r3_lattices(X2,k8_funct_2(X0,u1_struct_0(X2),X3,X5),X4) ) )
=> r3_lattices(X2,k2_lattice2(X0,X2,X1,X3),X4) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+253.ax',t70_lattice2) ).
fof(f5695,axiom,
! [X0] :
( ~ v1_xboole_0(X0)
=> ! [X1] :
( m1_subset_1(X1,k5_finsub_1(X0))
=> ! [X2] :
( ( l3_lattices(X2)
& v13_lattices(X2)
& v10_lattices(X2)
& ~ v3_struct_0(X2) )
=> ! [X3] :
( ( m2_relset_1(X3,X0,u1_struct_0(X2))
& v1_funct_2(X3,X0,u1_struct_0(X2))
& v1_funct_1(X3) )
=> ! [X4] :
( ( m2_relset_1(X4,X0,u1_struct_0(X2))
& v1_funct_2(X4,X0,u1_struct_0(X2))
& v1_funct_1(X4) )
=> ( ! [X5] :
( m1_subset_1(X5,X0)
=> ( r2_hidden(X5,X1)
=> r3_lattices(X2,k8_funct_2(X0,u1_struct_0(X2),X3,X5),k8_funct_2(X0,u1_struct_0(X2),X4,X5)) ) )
=> r3_lattices(X2,k2_lattice2(X0,X2,X1,X3),k2_lattice2(X0,X2,X1,X4)) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+253.ax',t71_lattice2) ).
fof(f5696,axiom,
! [X0] :
( ( l3_lattices(X0)
& v14_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> r3_binop_1(u1_struct_0(X0),k6_lattices(X0),u1_lattices(X0)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+253.ax',t72_lattice2) ).
fof(f5697,axiom,
! [X0] :
( ( l3_lattices(X0)
& v14_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> v1_setwiseo(u1_lattices(X0),u1_struct_0(X0)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+253.ax',t73_lattice2) ).
fof(f5698,axiom,
! [X0] :
( ( l3_lattices(X0)
& v14_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> k6_lattices(X0) = k3_binop_1(u1_struct_0(X0),u1_lattices(X0)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+253.ax',t74_lattice2) ).
fof(f5699,axiom,
! [X0] :
( ~ v1_xboole_0(X0)
=> ! [X1] :
( m1_subset_1(X1,k5_finsub_1(X0))
=> ! [X2] :
( ( l3_lattices(X2)
& v14_lattices(X2)
& v10_lattices(X2)
& ~ v3_struct_0(X2) )
=> ! [X3] :
( ( m2_relset_1(X3,X0,u1_struct_0(X2))
& v1_funct_2(X3,X0,u1_struct_0(X2))
& v1_funct_1(X3) )
=> ! [X4] :
( ( m2_relset_1(X4,X0,u1_struct_0(X2))
& v1_funct_2(X4,X0,u1_struct_0(X2))
& v1_funct_1(X4) )
=> ( k2_partfun1(X0,u1_struct_0(X2),X3,X1) = k2_partfun1(X0,u1_struct_0(X2),X4,X1)
=> k3_lattice2(X0,X2,X1,X3) = k3_lattice2(X0,X2,X1,X4) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+253.ax',t75_lattice2) ).
fof(f5700,axiom,
! [X0] :
( ~ v1_xboole_0(X0)
=> ! [X1] :
( m1_subset_1(X1,k5_finsub_1(X0))
=> ! [X2] :
( ( l3_lattices(X2)
& v14_lattices(X2)
& v10_lattices(X2)
& ~ v3_struct_0(X2) )
=> ! [X3] :
( ( m2_relset_1(X3,X0,u1_struct_0(X2))
& v1_funct_2(X3,X0,u1_struct_0(X2))
& v1_funct_1(X3) )
=> ! [X4] :
( m1_subset_1(X4,u1_struct_0(X2))
=> ( ! [X5] :
( m1_subset_1(X5,X0)
=> ( r2_hidden(X5,X1)
=> r3_lattices(X2,X4,k8_funct_2(X0,u1_struct_0(X2),X3,X5)) ) )
=> r3_lattices(X2,X4,k3_lattice2(X0,X2,X1,X3)) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+253.ax',t76_lattice2) ).
fof(f5701,axiom,
! [X0] :
( ~ v1_xboole_0(X0)
=> ! [X1] :
( m1_subset_1(X1,k5_finsub_1(X0))
=> ! [X2] :
( ( l3_lattices(X2)
& v14_lattices(X2)
& v10_lattices(X2)
& ~ v3_struct_0(X2) )
=> ! [X3] :
( ( m2_relset_1(X3,X0,u1_struct_0(X2))
& v1_funct_2(X3,X0,u1_struct_0(X2))
& v1_funct_1(X3) )
=> ! [X4] :
( ( m2_relset_1(X4,X0,u1_struct_0(X2))
& v1_funct_2(X4,X0,u1_struct_0(X2))
& v1_funct_1(X4) )
=> ( ! [X5] :
( m1_subset_1(X5,X0)
=> ( r2_hidden(X5,X1)
=> r3_lattices(X2,k8_funct_2(X0,u1_struct_0(X2),X3,X5),k8_funct_2(X0,u1_struct_0(X2),X4,X5)) ) )
=> r3_lattices(X2,k3_lattice2(X0,X2,X1,X3),k3_lattice2(X0,X2,X1,X4)) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+253.ax',t77_lattice2) ).
fof(f5702,axiom,
! [X0] :
( ( l3_lattices(X0)
& v13_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> k5_lattices(X0) = k6_lattices(k1_lattice2(X0)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+253.ax',t78_lattice2) ).
fof(f5703,axiom,
! [X0] :
( ( l3_lattices(X0)
& v14_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> k6_lattices(X0) = k5_lattices(k1_lattice2(X0)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+253.ax',t79_lattice2) ).
fof(f5706,axiom,
! [X0] :
( ~ v1_xboole_0(X0)
=> ! [X1] :
( m1_subset_1(X1,k5_finsub_1(X0))
=> ! [X2] :
( ( l3_lattices(X2)
& v13_lattices(X2)
& v11_lattices(X2)
& v10_lattices(X2)
& ~ v3_struct_0(X2) )
=> ! [X3] :
( ( m2_relset_1(X3,X0,u1_struct_0(X2))
& v1_funct_2(X3,X0,u1_struct_0(X2))
& v1_funct_1(X3) )
=> ! [X4] :
( ( m2_relset_1(X4,X0,u1_struct_0(X2))
& v1_funct_2(X4,X0,u1_struct_0(X2))
& v1_funct_1(X4) )
=> ! [X5] :
( m1_subset_1(X5,u1_struct_0(X2))
=> ( ! [X6] :
( m1_subset_1(X6,X0)
=> ( r2_hidden(X6,X1)
=> k8_funct_2(X0,u1_struct_0(X2),X3,X6) = k4_lattices(X2,X5,k8_funct_2(X0,u1_struct_0(X2),X4,X6)) ) )
=> k4_lattices(X2,X5,k2_lattice2(X0,X2,X1,X4)) = k2_lattice2(X0,X2,X1,X3) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+253.ax',t82_lattice2) ).
fof(f5711,axiom,
! [X0] :
( ( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ( v6_group_1(X0)
<=> v6_group_1(k1_lattice2(X0)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+253.ax',t85_lattice2) ).
fof(f5712,axiom,
! [X0] :
( l3_lattices(X0)
=> ( l3_lattices(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+253.ax',dt_k1_lattice2) ).
fof(f5713,axiom,
! [X0,X1,X2,X3] :
( ( m1_relset_1(X3,X0,u1_struct_0(X1))
& v1_funct_2(X3,X0,u1_struct_0(X1))
& v1_funct_1(X3)
& m1_subset_1(X2,k5_finsub_1(X0))
& l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1)
& ~ v1_xboole_0(X0) )
=> m1_subset_1(k2_lattice2(X0,X1,X2,X3),u1_struct_0(X1)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+253.ax',dt_k2_lattice2) ).
fof(f5714,axiom,
! [X0,X1,X2,X3] :
( ( m1_relset_1(X3,X0,u1_struct_0(X1))
& v1_funct_2(X3,X0,u1_struct_0(X1))
& v1_funct_1(X3)
& m1_subset_1(X2,k5_finsub_1(X0))
& l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1)
& ~ v1_xboole_0(X0) )
=> m1_subset_1(k3_lattice2(X0,X1,X2,X3),u1_struct_0(X1)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+253.ax',dt_k3_lattice2) ).
fof(f5716,axiom,
! [X0,X1] :
( ( l3_lattices(X1)
& ~ v3_struct_0(X1)
& l3_lattices(X0)
& ~ v3_struct_0(X0) )
=> ( v3_lattices(k8_filter_1(X0,X1))
& ~ v3_struct_0(k8_filter_1(X0,X1)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+295.ax',fc2_filter_1) ).
fof(f5717,axiom,
! [X0,X1] :
( ( l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1)
& l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ( v10_lattices(k8_filter_1(X0,X1))
& v9_lattices(k8_filter_1(X0,X1))
& v8_lattices(k8_filter_1(X0,X1))
& v7_lattices(k8_filter_1(X0,X1))
& v6_lattices(k8_filter_1(X0,X1))
& v5_lattices(k8_filter_1(X0,X1))
& v4_lattices(k8_filter_1(X0,X1))
& v3_lattices(k8_filter_1(X0,X1))
& ~ v3_struct_0(k8_filter_1(X0,X1)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+295.ax',fc3_filter_1) ).
fof(f5718,axiom,
! [X0] :
( ( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_filter_0(X1,X0)
=> ! [X2] :
( m1_filter_0(X2,X0)
=> m1_filter_0(k5_subset_1(u1_struct_0(X0),X1,X2),X0) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+295.ax',t1_filter_1) ).
fof(f5719,axiom,
! [X0] :
( ( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ( k2_filter_0(X0,X1) = k2_filter_0(X0,X2)
=> X1 = X2 ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+295.ax',t2_filter_1) ).
fof(f5721,axiom,
! [X0] :
( ~ v1_xboole_0(X0)
=> ! [X1] :
( v1_relat_1(X1)
=> ! [X2] :
( ( m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
& v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
& v1_funct_1(X2) )
=> ( m2_filter_1(X2,X0,X1)
<=> ! [X3] :
( m1_subset_1(X3,X0)
=> ! [X4] :
( m1_subset_1(X4,X0)
=> ! [X5] :
( m1_subset_1(X5,X0)
=> ! [X6] :
( m1_subset_1(X6,X0)
=> ( ( r2_hidden(k1_domain_1(X0,X0,X5,X6),X1)
& r2_hidden(k1_domain_1(X0,X0,X3,X4),X1) )
=> r2_hidden(k1_domain_1(X0,X0,k2_binop_1(X0,X0,X0,X2,X3,X5),k2_binop_1(X0,X0,X0,X2,X4,X6)),X1) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+295.ax',d2_filter_1) ).
fof(f5723,axiom,
! [X0] :
( ~ v1_xboole_0(X0)
=> ! [X1] :
( ( m2_relset_1(X1,X0,X0)
& v1_partfun1(X1,X0,X0)
& v8_relat_2(X1)
& v3_relat_2(X1) )
=> ! [X2] :
( ( m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
& v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
& v1_funct_1(X2) )
=> ( m2_filter_1(X2,X0,X1)
=> ! [X3] :
( ( m2_relset_1(X3,k2_zfmisc_1(k8_eqrel_1(X0,X1),k8_eqrel_1(X0,X1)),k8_eqrel_1(X0,X1))
& v1_funct_2(X3,k2_zfmisc_1(k8_eqrel_1(X0,X1),k8_eqrel_1(X0,X1)),k8_eqrel_1(X0,X1))
& v1_funct_1(X3) )
=> ( X3 = k4_filter_1(X0,X1,X2)
<=> ! [X4,X5,X6,X7] :
( ( r2_hidden(X7,X5)
& r2_hidden(X6,X4)
& r2_hidden(X5,k8_eqrel_1(X0,X1))
& r2_hidden(X4,k8_eqrel_1(X0,X1)) )
=> k1_binop_1(X3,X4,X5) = k6_eqrel_1(X0,X1,k1_binop_1(X2,X6,X7)) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+295.ax',d4_filter_1) ).
fof(f5724,axiom,
! [X0] :
( ~ v1_xboole_0(X0)
=> ! [X1] :
( ( m2_relset_1(X1,X0,X0)
& v1_partfun1(X1,X0,X0)
& v8_relat_2(X1)
& v3_relat_2(X1) )
=> ! [X2] :
( m1_subset_1(X2,X0)
=> ! [X3] :
( m1_subset_1(X3,X0)
=> ! [X4] :
( m2_filter_1(X4,X0,X1)
=> k2_binop_1(k8_eqrel_1(X0,X1),k8_eqrel_1(X0,X1),k8_eqrel_1(X0,X1),k4_filter_1(X0,X1,X4),k2_filter_1(X0,X1,X2),k2_filter_1(X0,X1,X3)) = k2_filter_1(X0,X1,k2_binop_1(X0,X0,X0,X4,X2,X3)) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+295.ax',t3_filter_1) ).
fof(f5725,axiom,
! [X0] :
( ~ v1_xboole_0(X0)
=> ! [X1] :
( ( m2_relset_1(X1,X0,X0)
& v1_partfun1(X1,X0,X0)
& v8_relat_2(X1)
& v3_relat_2(X1) )
=> ! [X2] :
( m2_filter_1(X2,X0,X1)
=> ( v1_binop_1(X2,X0)
=> v1_binop_1(k4_filter_1(X0,X1,X2),k8_eqrel_1(X0,X1)) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+295.ax',t4_filter_1) ).
fof(f5726,axiom,
! [X0] :
( ~ v1_xboole_0(X0)
=> ! [X1] :
( ( m2_relset_1(X1,X0,X0)
& v1_partfun1(X1,X0,X0)
& v8_relat_2(X1)
& v3_relat_2(X1) )
=> ! [X2] :
( m2_filter_1(X2,X0,X1)
=> ( v2_binop_1(X2,X0)
=> v2_binop_1(k4_filter_1(X0,X1,X2),k8_eqrel_1(X0,X1)) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+295.ax',t5_filter_1) ).
fof(f5727,axiom,
! [X0] :
( ~ v1_xboole_0(X0)
=> ! [X1] :
( ( m2_relset_1(X1,X0,X0)
& v1_partfun1(X1,X0,X0)
& v8_relat_2(X1)
& v3_relat_2(X1) )
=> ! [X2] :
( m1_subset_1(X2,X0)
=> ! [X3] :
( m2_filter_1(X3,X0,X1)
=> ( r1_binop_1(X0,X2,X3)
=> r1_binop_1(k8_eqrel_1(X0,X1),k2_filter_1(X0,X1,X2),k4_filter_1(X0,X1,X3)) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+295.ax',t6_filter_1) ).
fof(f5728,axiom,
! [X0] :
( ~ v1_xboole_0(X0)
=> ! [X1] :
( ( m2_relset_1(X1,X0,X0)
& v1_partfun1(X1,X0,X0)
& v8_relat_2(X1)
& v3_relat_2(X1) )
=> ! [X2] :
( m1_subset_1(X2,X0)
=> ! [X3] :
( m2_filter_1(X3,X0,X1)
=> ( r2_binop_1(X0,X2,X3)
=> r2_binop_1(k8_eqrel_1(X0,X1),k2_filter_1(X0,X1,X2),k4_filter_1(X0,X1,X3)) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+295.ax',t7_filter_1) ).
fof(f5729,axiom,
! [X0] :
( ~ v1_xboole_0(X0)
=> ! [X1] :
( ( m2_relset_1(X1,X0,X0)
& v1_partfun1(X1,X0,X0)
& v8_relat_2(X1)
& v3_relat_2(X1) )
=> ! [X2] :
( m1_subset_1(X2,X0)
=> ! [X3] :
( m2_filter_1(X3,X0,X1)
=> ( r3_binop_1(X0,X2,X3)
=> r3_binop_1(k8_eqrel_1(X0,X1),k2_filter_1(X0,X1,X2),k4_filter_1(X0,X1,X3)) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+295.ax',t8_filter_1) ).
fof(f5732,axiom,
! [X0] :
( ~ v1_xboole_0(X0)
=> ! [X1] :
( ( m2_relset_1(X1,X0,X0)
& v1_partfun1(X1,X0,X0)
& v8_relat_2(X1)
& v3_relat_2(X1) )
=> ! [X2] :
( m2_filter_1(X2,X0,X1)
=> ! [X3] :
( m2_filter_1(X3,X0,X1)
=> ( r6_binop_1(X0,X2,X3)
=> r6_binop_1(k8_eqrel_1(X0,X1),k4_filter_1(X0,X1,X2),k4_filter_1(X0,X1,X3)) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+295.ax',t11_filter_1) ).
fof(f5740,axiom,
! [X0] :
( ( l3_lattices(X0)
& v3_filter_0(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X0))
=> k4_filter_0(X0,k4_lattices(X0,X1,X2),X3) = k4_filter_0(X0,X1,k4_filter_0(X0,X2,X3)) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+295.ax',t17_filter_1) ).
fof(f5743,axiom,
! [X0] :
( ( l3_lattices(X0)
& v3_filter_0(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_filter_0(X1,X0)
=> v3_filter_0(k5_filter_1(X0,X1)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+295.ax',t20_filter_1) ).
fof(f5744,axiom,
! [X0] :
( ( l3_lattices(X0)
& v17_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_filter_0(X1,X0)
=> ( l3_lattices(k5_filter_1(X0,X1))
& v17_lattices(k5_filter_1(X0,X1))
& v10_lattices(k5_filter_1(X0,X1))
& ~ v3_struct_0(k5_filter_1(X0,X1)) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+295.ax',t21_filter_1) ).
fof(f5745,axiom,
! [X0] :
( ~ v1_xboole_0(X0)
=> ! [X1] :
( ~ v1_xboole_0(X1)
=> ! [X2] :
( m1_subset_1(X2,X0)
=> ! [X3] :
( m1_subset_1(X3,X0)
=> ! [X4] :
( m1_subset_1(X4,X1)
=> ! [X5] :
( m1_subset_1(X5,X1)
=> ! [X6] :
( ( m2_relset_1(X6,k2_zfmisc_1(X0,X0),X0)
& v1_funct_2(X6,k2_zfmisc_1(X0,X0),X0)
& v1_funct_1(X6) )
=> ! [X7] :
( ( m2_relset_1(X7,k2_zfmisc_1(X1,X1),X1)
& v1_funct_2(X7,k2_zfmisc_1(X1,X1),X1)
& v1_funct_1(X7) )
=> k2_binop_1(k2_zfmisc_1(X0,X1),k2_zfmisc_1(X0,X1),k2_zfmisc_1(X0,X1),k7_filter_1(X0,X1,X6,X7),k1_domain_1(X0,X1,X2,X4),k1_domain_1(X0,X1,X3,X5)) = k1_domain_1(X0,X1,k2_binop_1(X0,X0,X0,X6,X2,X3),k2_binop_1(X1,X1,X1,X7,X4,X5)) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+295.ax',t22_filter_1) ).
fof(f5746,axiom,
! [X0] :
( ~ v1_xboole_0(X0)
=> ! [X1] :
( ~ v1_xboole_0(X1)
=> ! [X2] :
( ( m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
& v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
& v1_funct_1(X2) )
=> ! [X3] :
( ( m2_relset_1(X3,k2_zfmisc_1(X1,X1),X1)
& v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
& v1_funct_1(X3) )
=> ( ( v1_binop_1(X3,X1)
& v1_binop_1(X2,X0) )
<=> v1_binop_1(k7_filter_1(X0,X1,X2,X3),k2_zfmisc_1(X0,X1)) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+295.ax',t23_filter_1) ).
fof(f5747,axiom,
! [X0] :
( ~ v1_xboole_0(X0)
=> ! [X1] :
( ~ v1_xboole_0(X1)
=> ! [X2] :
( ( m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
& v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
& v1_funct_1(X2) )
=> ! [X3] :
( ( m2_relset_1(X3,k2_zfmisc_1(X1,X1),X1)
& v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
& v1_funct_1(X3) )
=> ( ( v2_binop_1(X3,X1)
& v2_binop_1(X2,X0) )
<=> v2_binop_1(k7_filter_1(X0,X1,X2,X3),k2_zfmisc_1(X0,X1)) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+295.ax',t24_filter_1) ).
fof(f5748,axiom,
! [X0] :
( ~ v1_xboole_0(X0)
=> ! [X1] :
( ~ v1_xboole_0(X1)
=> ! [X2] :
( m1_subset_1(X2,X0)
=> ! [X3] :
( m1_subset_1(X3,X1)
=> ! [X4] :
( ( m2_relset_1(X4,k2_zfmisc_1(X0,X0),X0)
& v1_funct_2(X4,k2_zfmisc_1(X0,X0),X0)
& v1_funct_1(X4) )
=> ! [X5] :
( ( m2_relset_1(X5,k2_zfmisc_1(X1,X1),X1)
& v1_funct_2(X5,k2_zfmisc_1(X1,X1),X1)
& v1_funct_1(X5) )
=> ( ( r1_binop_1(X1,X3,X5)
& r1_binop_1(X0,X2,X4) )
<=> r1_binop_1(k2_zfmisc_1(X0,X1),k1_domain_1(X0,X1,X2,X3),k7_filter_1(X0,X1,X4,X5)) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+295.ax',t25_filter_1) ).
fof(f5749,axiom,
! [X0] :
( ~ v1_xboole_0(X0)
=> ! [X1] :
( ~ v1_xboole_0(X1)
=> ! [X2] :
( m1_subset_1(X2,X0)
=> ! [X3] :
( m1_subset_1(X3,X1)
=> ! [X4] :
( ( m2_relset_1(X4,k2_zfmisc_1(X0,X0),X0)
& v1_funct_2(X4,k2_zfmisc_1(X0,X0),X0)
& v1_funct_1(X4) )
=> ! [X5] :
( ( m2_relset_1(X5,k2_zfmisc_1(X1,X1),X1)
& v1_funct_2(X5,k2_zfmisc_1(X1,X1),X1)
& v1_funct_1(X5) )
=> ( ( r2_binop_1(X1,X3,X5)
& r2_binop_1(X0,X2,X4) )
<=> r2_binop_1(k2_zfmisc_1(X0,X1),k1_domain_1(X0,X1,X2,X3),k7_filter_1(X0,X1,X4,X5)) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+295.ax',t26_filter_1) ).
fof(f5750,axiom,
! [X0] :
( ~ v1_xboole_0(X0)
=> ! [X1] :
( ~ v1_xboole_0(X1)
=> ! [X2] :
( m1_subset_1(X2,X0)
=> ! [X3] :
( m1_subset_1(X3,X1)
=> ! [X4] :
( ( m2_relset_1(X4,k2_zfmisc_1(X0,X0),X0)
& v1_funct_2(X4,k2_zfmisc_1(X0,X0),X0)
& v1_funct_1(X4) )
=> ! [X5] :
( ( m2_relset_1(X5,k2_zfmisc_1(X1,X1),X1)
& v1_funct_2(X5,k2_zfmisc_1(X1,X1),X1)
& v1_funct_1(X5) )
=> ( ( r3_binop_1(X1,X3,X5)
& r3_binop_1(X0,X2,X4) )
<=> r3_binop_1(k2_zfmisc_1(X0,X1),k1_domain_1(X0,X1,X2,X3),k7_filter_1(X0,X1,X4,X5)) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+295.ax',t27_filter_1) ).
fof(f5753,axiom,
! [X0] :
( ~ v1_xboole_0(X0)
=> ! [X1] :
( ~ v1_xboole_0(X1)
=> ! [X2] :
( ( m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
& v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
& v1_funct_1(X2) )
=> ! [X3] :
( ( m2_relset_1(X3,k2_zfmisc_1(X0,X0),X0)
& v1_funct_2(X3,k2_zfmisc_1(X0,X0),X0)
& v1_funct_1(X3) )
=> ! [X4] :
( ( m2_relset_1(X4,k2_zfmisc_1(X1,X1),X1)
& v1_funct_2(X4,k2_zfmisc_1(X1,X1),X1)
& v1_funct_1(X4) )
=> ! [X5] :
( ( m2_relset_1(X5,k2_zfmisc_1(X1,X1),X1)
& v1_funct_2(X5,k2_zfmisc_1(X1,X1),X1)
& v1_funct_1(X5) )
=> ( ( r6_binop_1(X1,X4,X5)
& r6_binop_1(X0,X2,X3) )
<=> r6_binop_1(k2_zfmisc_1(X0,X1),k7_filter_1(X0,X1,X2,X4),k7_filter_1(X0,X1,X3,X5)) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+295.ax',t30_filter_1) ).
fof(f5755,axiom,
! [X0] :
( ( l3_lattices(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( ( l3_lattices(X1)
& ~ v3_struct_0(X1) )
=> k8_filter_1(X0,X1) = g3_lattices(k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X1)),k7_filter_1(u1_struct_0(X0),u1_struct_0(X1),u2_lattices(X0),u2_lattices(X1)),k7_filter_1(u1_struct_0(X0),u1_struct_0(X1),u1_lattices(X0),u1_lattices(X1))) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+295.ax',d7_filter_1) ).
fof(f5759,axiom,
! [X0] :
( ( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( ( l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( ( l3_lattices(X2)
& v10_lattices(X2)
& ~ v3_struct_0(X2) )
=> ( ( r1_filter_1(X1,X2)
& r1_filter_1(X0,X1) )
=> r1_filter_1(X0,X2) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+295.ax',t34_filter_1) ).
fof(f5760,axiom,
! [X0] :
( ( l3_lattices(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( ( l3_lattices(X1)
& ~ v3_struct_0(X1) )
=> ( ( l3_lattices(k8_filter_1(X0,X1))
& v10_lattices(k8_filter_1(X0,X1))
& ~ v3_struct_0(k8_filter_1(X0,X1)) )
=> ( l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1)
& l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+295.ax',t35_filter_1) ).
fof(f5764,axiom,
! [X0] :
( ( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( ( l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ( ( l3_lattices(X1)
& v11_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1)
& l3_lattices(X0)
& v11_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
<=> ( l3_lattices(k8_filter_1(X0,X1))
& v11_lattices(k8_filter_1(X0,X1))
& v10_lattices(k8_filter_1(X0,X1))
& ~ v3_struct_0(k8_filter_1(X0,X1)) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+295.ax',t39_filter_1) ).
fof(f5765,axiom,
! [X0] :
( ( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( ( l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ( ( v13_lattices(X1)
& v13_lattices(X0) )
<=> v13_lattices(k8_filter_1(X0,X1)) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+295.ax',t40_filter_1) ).
fof(f5766,axiom,
! [X0] :
( ( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( ( l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ( ( v14_lattices(X1)
& v14_lattices(X0) )
<=> v14_lattices(k8_filter_1(X0,X1)) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+295.ax',t41_filter_1) ).
fof(f5767,axiom,
! [X0] :
( ( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( ( l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ( ( v15_lattices(X1)
& v15_lattices(X0) )
<=> v15_lattices(k8_filter_1(X0,X1)) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+295.ax',t42_filter_1) ).
fof(f5771,axiom,
! [X0] :
( ( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( ( l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ( ( l3_lattices(X1)
& v16_lattices(X1)
& v15_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1)
& l3_lattices(X0)
& v16_lattices(X0)
& v15_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
<=> ( l3_lattices(k8_filter_1(X0,X1))
& v16_lattices(k8_filter_1(X0,X1))
& v15_lattices(k8_filter_1(X0,X1))
& v10_lattices(k8_filter_1(X0,X1))
& ~ v3_struct_0(k8_filter_1(X0,X1)) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+295.ax',t46_filter_1) ).
fof(f5772,axiom,
! [X0] :
( ( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( ( l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ( ( l3_lattices(X1)
& v17_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1)
& l3_lattices(X0)
& v17_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
<=> ( l3_lattices(k8_filter_1(X0,X1))
& v17_lattices(k8_filter_1(X0,X1))
& v10_lattices(k8_filter_1(X0,X1))
& ~ v3_struct_0(k8_filter_1(X0,X1)) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+295.ax',t47_filter_1) ).
fof(f5773,axiom,
! [X0] :
( ( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( ( l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ( ( v3_filter_0(X1)
& v3_filter_0(X0) )
<=> v3_filter_0(k8_filter_1(X0,X1)) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+295.ax',t48_filter_1) ).
fof(f5774,axiom,
! [X0] :
( ( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( ( l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> k1_lattice2(k8_filter_1(X0,X1)) = k8_filter_1(k1_lattice2(X0),k1_lattice2(X1)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+295.ax',t49_filter_1) ).
fof(f5775,axiom,
! [X0] :
( ( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( ( l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> r1_filter_1(k8_filter_1(X0,X1),k8_filter_1(X1,X0)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+295.ax',t50_filter_1) ).
fof(f5776,axiom,
! [X0] :
( ( l3_lattices(X0)
& v17_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> k9_filter_0(X0,X1,X2) = k3_lattices(X0,k4_lattices(X0,X1,X2),k4_lattices(X0,k7_lattices(X0,X1),k7_lattices(X0,X2))) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+295.ax',t51_filter_1) ).
fof(f5777,axiom,
! [X0] :
( ( l3_lattices(X0)
& v17_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ( k7_lattices(X0,k9_filter_0(X0,X1,X2)) = k9_filter_0(X0,k7_lattices(X0,X1),X2)
& k7_lattices(X0,k9_filter_0(X0,X1,X2)) = k9_filter_0(X0,X1,k7_lattices(X0,X2))
& k7_lattices(X0,k9_filter_0(X0,X1,X2)) = k3_lattices(X0,k4_lattices(X0,X1,k7_lattices(X0,X2)),k4_lattices(X0,k7_lattices(X0,X1),X2))
& k7_lattices(X0,k4_filter_0(X0,X1,X2)) = k4_lattices(X0,X1,k7_lattices(X0,X2)) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+295.ax',t52_filter_1) ).
fof(f5778,axiom,
! [X0] :
( ( l3_lattices(X0)
& v17_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X0))
=> ( k9_filter_0(X0,X1,X2) = k9_filter_0(X0,X1,X3)
=> X2 = X3 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+295.ax',t53_filter_1) ).
fof(f5779,axiom,
! [X0] :
( ( l3_lattices(X0)
& v17_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> k9_filter_0(X0,X1,k9_filter_0(X0,X1,X2)) = X2 ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+295.ax',t54_filter_1) ).
fof(f5780,axiom,
! [X0] :
( ( l3_lattices(X0)
& v3_filter_0(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ( k4_filter_0(X0,X1,k4_lattices(X0,X1,X2)) = k4_filter_0(X0,X1,X2)
& k4_filter_0(X0,k3_lattices(X0,X1,X2),X1) = k4_filter_0(X0,X2,X1) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+295.ax',t55_filter_1) ).
fof(f5781,axiom,
! [X0] :
( ( l3_lattices(X0)
& v3_filter_0(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X0))
=> ( r3_lattices(X0,k4_filter_0(X0,X1,X2),k4_filter_0(X0,k4_lattices(X0,X3,X1),X2))
& r3_lattices(X0,k4_filter_0(X0,X1,X2),k4_filter_0(X0,X1,k3_lattices(X0,X3,X2)))
& r3_lattices(X0,k4_filter_0(X0,X1,X2),k4_filter_0(X0,k4_lattices(X0,X1,X3),X2))
& r3_lattices(X0,k4_filter_0(X0,X1,X2),k4_filter_0(X0,X1,k3_lattices(X0,X2,X3))) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+295.ax',t56_filter_1) ).
fof(f5782,axiom,
! [X0] :
( ( l3_lattices(X0)
& v3_filter_0(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X0))
=> r3_lattices(X0,k4_lattices(X0,k4_filter_0(X0,X1,X2),k4_filter_0(X0,X3,X2)),k4_filter_0(X0,k3_lattices(X0,X1,X3),X2)) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+295.ax',t57_filter_1) ).
fof(f5783,axiom,
! [X0] :
( ( l3_lattices(X0)
& v3_filter_0(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X0))
=> r3_lattices(X0,k4_lattices(X0,k4_filter_0(X0,X1,X2),k4_filter_0(X0,X1,X3)),k4_filter_0(X0,X1,k4_lattices(X0,X2,X3))) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+295.ax',t58_filter_1) ).
fof(f5784,axiom,
! [X0] :
( ( l3_lattices(X0)
& v3_filter_0(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_filter_0(X1,X0)
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X0))
=> ! [X4] :
( m1_subset_1(X4,u1_struct_0(X0))
=> ! [X5] :
( m1_subset_1(X5,u1_struct_0(X0))
=> ( ( r2_hidden(k9_filter_0(X0,X4,X5),X1)
& r2_hidden(k9_filter_0(X0,X2,X3),X1) )
=> ( r2_hidden(k9_filter_0(X0,k4_lattices(X0,X2,X4),k4_lattices(X0,X3,X5)),X1)
& r2_hidden(k9_filter_0(X0,k3_lattices(X0,X2,X4),k3_lattices(X0,X3,X5)),X1) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+295.ax',t59_filter_1) ).
fof(f5787,axiom,
! [X0] :
( ( l3_lattices(X0)
& v17_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> r1_filter_1(X0,k8_filter_1(k5_filter_1(X0,k2_filter_0(X0,X1)),k8_filter_0(X0,k2_filter_0(X0,X1)))) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+295.ax',t62_filter_1) ).
fof(f5796,axiom,
! [X0,X1] :
( ( v1_relat_1(X1)
& ~ v1_xboole_0(X0) )
=> ! [X2] :
( m2_filter_1(X2,X0,X1)
=> ( m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
& v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
& v1_funct_1(X2) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+295.ax',dt_m2_filter_1) ).
fof(f5797,axiom,
! [X0,X1] :
( ( v1_relat_1(X1)
& ~ v1_xboole_0(X0) )
=> ? [X2] : m2_filter_1(X2,X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+295.ax',existence_m2_filter_1) ).
fof(f5798,axiom,
! [X0,X1] :
( ( l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1)
& l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ( r1_filter_1(X0,X1)
=> r1_filter_1(X1,X0) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+295.ax',symmetry_r1_filter_1) ).
fof(f5799,axiom,
! [X0,X1] :
( ( l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1)
& l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> r1_filter_1(X0,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+295.ax',reflexivity_r1_filter_1) ).
fof(f5804,axiom,
! [X0,X1,X2] :
( ( m1_subset_1(X2,X0)
& m1_relset_1(X1,X0,X0)
& v1_partfun1(X1,X0,X0)
& v8_relat_2(X1)
& v3_relat_2(X1)
& ~ v1_xboole_0(X0) )
=> m2_subset_1(k2_filter_1(X0,X1,X2),k1_zfmisc_1(X0),k8_eqrel_1(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+295.ax',dt_k2_filter_1) ).
fof(f5805,axiom,
! [X0,X1,X2] :
( ( m1_subset_1(X2,X0)
& m1_relset_1(X1,X0,X0)
& v1_partfun1(X1,X0,X0)
& v8_relat_2(X1)
& v3_relat_2(X1)
& ~ v1_xboole_0(X0) )
=> k2_filter_1(X0,X1,X2) = k6_eqrel_1(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+295.ax',redefinition_k2_filter_1) ).
fof(f5807,axiom,
! [X0,X1,X2] :
( ( m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
& v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
& v1_funct_1(X2)
& m1_relset_1(X1,X0,X0)
& v1_partfun1(X1,X0,X0)
& v8_relat_2(X1)
& v3_relat_2(X1)
& ~ v1_xboole_0(X0) )
=> ( m2_relset_1(k4_filter_1(X0,X1,X2),k2_zfmisc_1(k8_eqrel_1(X0,X1),k8_eqrel_1(X0,X1)),k8_eqrel_1(X0,X1))
& v1_funct_2(k4_filter_1(X0,X1,X2),k2_zfmisc_1(k8_eqrel_1(X0,X1),k8_eqrel_1(X0,X1)),k8_eqrel_1(X0,X1))
& v1_funct_1(k4_filter_1(X0,X1,X2)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+295.ax',dt_k4_filter_1) ).
fof(f5808,axiom,
! [X0,X1] :
( ( m1_filter_0(X1,X0)
& l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ( l3_lattices(k5_filter_1(X0,X1))
& v10_lattices(k5_filter_1(X0,X1))
& v3_lattices(k5_filter_1(X0,X1))
& ~ v3_struct_0(k5_filter_1(X0,X1)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+295.ax',dt_k5_filter_1) ).
fof(f5810,axiom,
! [X0,X1,X2,X3] :
( ( m1_relset_1(X3,k2_zfmisc_1(X1,X1),X1)
& v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
& v1_funct_1(X3)
& m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
& v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
& v1_funct_1(X2) )
=> ( m2_relset_1(k7_filter_1(X0,X1,X2,X3),k2_zfmisc_1(k2_zfmisc_1(X0,X1),k2_zfmisc_1(X0,X1)),k2_zfmisc_1(X0,X1))
& v1_funct_2(k7_filter_1(X0,X1,X2,X3),k2_zfmisc_1(k2_zfmisc_1(X0,X1),k2_zfmisc_1(X0,X1)),k2_zfmisc_1(X0,X1))
& v1_funct_1(k7_filter_1(X0,X1,X2,X3)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+295.ax',dt_k7_filter_1) ).
fof(f5811,axiom,
! [X0,X1,X2,X3] :
( ( m1_relset_1(X3,k2_zfmisc_1(X1,X1),X1)
& v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
& v1_funct_1(X3)
& m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
& v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
& v1_funct_1(X2) )
=> k7_filter_1(X0,X1,X2,X3) = k3_funct_4(X2,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+295.ax',redefinition_k7_filter_1) ).
fof(f5812,axiom,
! [X0,X1] :
( ( l3_lattices(X1)
& ~ v3_struct_0(X1)
& l3_lattices(X0)
& ~ v3_struct_0(X0) )
=> ( l3_lattices(k8_filter_1(X0,X1))
& v3_lattices(k8_filter_1(X0,X1)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+295.ax',dt_k8_filter_1) ).
fof(f5821,axiom,
! [X0,X1] :
( ( l1_pre_topc(X1)
& v2_pre_topc(X1)
& ~ v3_struct_0(X1)
& l1_pre_topc(X0)
& v2_pre_topc(X0)
& ~ v3_struct_0(X0) )
=> ( v2_pre_topc(k6_borsuk_1(X0,X1))
& v1_pre_topc(k6_borsuk_1(X0,X1))
& ~ v3_struct_0(k6_borsuk_1(X0,X1)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+309.ax',fc2_borsuk_1) ).
fof(f5823,axiom,
! [X0,X1] :
( ( m1_eqrel_1(X1,u1_struct_0(X0))
& ~ v1_xboole_0(X1)
& l1_pre_topc(X0)
& v2_pre_topc(X0)
& ~ v3_struct_0(X0) )
=> ( v2_pre_topc(k16_borsuk_1(X0,X1))
& v1_pre_topc(k16_borsuk_1(X0,X1))
& ~ v3_struct_0(k16_borsuk_1(X0,X1)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+309.ax',fc4_borsuk_1) ).
fof(f5831,axiom,
! [X0,X1] :
( m1_subset_1(X1,k1_zfmisc_1(X0))
=> k3_funct_2(X0,X0,k6_partfun1(X0),X1) = X1 ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+309.ax',t4_borsuk_1) ).
fof(f5832,axiom,
! [X0,X1,X2] :
( ( v1_funct_1(X2)
& v1_relat_1(X2) )
=> ( r1_tarski(X0,k10_relat_1(X2,X1))
=> r1_tarski(k9_relat_1(X2,X0),X1) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+309.ax',t5_borsuk_1) ).
fof(f5845,axiom,
! [X0] :
( ~ v1_xboole_0(X0)
=> ! [X1] :
( ~ v1_xboole_0(X1)
=> ! [X2] :
( ~ v1_xboole_0(X2)
=> ! [X3] :
( ( m2_relset_1(X3,X0,X1)
& v1_funct_2(X3,X0,X1)
& v1_funct_1(X3) )
=> ! [X4] :
( ( m2_relset_1(X4,X0,X2)
& v1_funct_2(X4,X0,X2)
& v1_funct_1(X4) )
=> ~ ( ! [X5] :
( ( m2_relset_1(X5,X1,X2)
& v1_funct_2(X5,X1,X2)
& v1_funct_1(X5) )
=> k7_funct_2(X0,X1,X2,X3,X5) != X4 )
& ! [X5] :
( m1_subset_1(X5,X0)
=> ! [X6] :
( m1_subset_1(X6,X0)
=> ( k8_funct_2(X0,X1,X3,X5) = k8_funct_2(X0,X1,X3,X6)
=> k8_funct_2(X0,X2,X4,X5) = k8_funct_2(X0,X2,X4,X6) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+309.ax',t19_borsuk_1) ).
fof(f5851,axiom,
! [X0] :
( ~ v1_xboole_0(X0)
=> ! [X1] :
( m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(X0)))
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(X1))
=> m1_subset_1(k3_tarski(X2),k1_zfmisc_1(X0)) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+309.ax',t25_borsuk_1) ).
fof(f5852,axiom,
! [X0,X1] :
( m1_eqrel_1(X1,X0)
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(X1))
=> ! [X3] :
( m1_subset_1(X3,k1_zfmisc_1(X1))
=> k3_tarski(k5_subset_1(X1,X2,X3)) = k3_xboole_0(k3_tarski(X2),k3_tarski(X3)) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+309.ax',t26_borsuk_1) ).
fof(f5853,axiom,
! [X0] :
( ~ v1_xboole_0(X0)
=> ! [X1] :
( m1_eqrel_1(X1,X0)
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(X1))
=> ! [X3] :
( m1_subset_1(X3,k1_zfmisc_1(X0))
=> ( X3 = k3_tarski(X2)
=> k3_subset_1(X0,X3) = k3_tarski(k3_subset_1(X1,X2)) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+309.ax',t27_borsuk_1) ).
fof(f5854,axiom,
! [X0] :
( ~ v1_xboole_0(X0)
=> ! [X1] :
( ( m2_relset_1(X1,X0,X0)
& v1_partfun1(X1,X0,X0)
& v8_relat_2(X1)
& v3_relat_2(X1) )
=> ~ v1_xboole_0(k8_eqrel_1(X0,X1)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+309.ax',t28_borsuk_1) ).
fof(f5862,axiom,
! [X0] :
( l1_pre_topc(X0)
=> ! [X1] :
( m1_pre_topc(X1,X0)
=> r1_tarski(u1_struct_0(X1),u1_struct_0(X0)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+309.ax',t35_borsuk_1) ).
fof(f5902,axiom,
! [X0] :
( ( l1_pre_topc(X0)
& v2_pre_topc(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( ( m1_eqrel_1(X1,u1_struct_0(X0))
& ~ v1_xboole_0(X1) )
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(X1))
=> ( r2_hidden(k3_tarski(X2),u1_pre_topc(X0))
<=> r2_hidden(X2,u1_pre_topc(k16_borsuk_1(X0,X1))) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+309.ax',t69_borsuk_1) ).
fof(f5939,axiom,
! [X0,X1] :
( ( l1_pre_topc(X1)
& v2_pre_topc(X1)
& l1_pre_topc(X0)
& v2_pre_topc(X0) )
=> ( l1_pre_topc(k6_borsuk_1(X0,X1))
& v2_pre_topc(k6_borsuk_1(X0,X1))
& v1_pre_topc(k6_borsuk_1(X0,X1)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+309.ax',dt_k6_borsuk_1) ).
fof(f5954,axiom,
! [X0,X1] :
( ( m1_eqrel_1(X1,u1_struct_0(X0))
& l1_pre_topc(X0)
& v2_pre_topc(X0) )
=> ( l1_pre_topc(k16_borsuk_1(X0,X1))
& v2_pre_topc(k16_borsuk_1(X0,X1))
& v1_pre_topc(k16_borsuk_1(X0,X1)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+309.ax',dt_k16_borsuk_1) ).
fof(f6002,axiom,
! [X0,X1,X2,X3] :
~ ( ! [X4] :
( m1_subset_1(X4,X0)
=> ! [X5] :
( m1_subset_1(X5,X1)
=> X3 != k4_tarski(X4,X5) ) )
& r1_tarski(X2,k2_zfmisc_1(X0,X1))
& r2_hidden(X3,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+311.ax',t2_grcat_1) ).
fof(f6020,axiom,
! [X0] :
( l1_struct_0(X0)
=> k7_grcat_1(X0) = k6_partfun1(u1_struct_0(X0)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+311.ax',d11_grcat_1) ).
fof(f6021,axiom,
! [X0] :
( ( l1_struct_0(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> k8_funct_2(u1_struct_0(X0),u1_struct_0(X0),k7_grcat_1(X0),X1) = X1 ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+311.ax',t11_grcat_1) ).
fof(f6022,axiom,
! [X0] :
( l1_struct_0(X0)
=> ! [X1] :
( ( l1_struct_0(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( ( m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_1(X2) )
=> ( k7_funct_2(u1_struct_0(X0),u1_struct_0(X1),u1_struct_0(X1),X2,k7_grcat_1(X1)) = X2
& k1_partfun1(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X1),k7_grcat_1(X0),X2) = X2 ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+311.ax',t12_grcat_1) ).
fof(f6121,axiom,
! [X0] :
( l1_struct_0(X0)
=> ( m2_relset_1(k7_grcat_1(X0),u1_struct_0(X0),u1_struct_0(X0))
& v1_funct_2(k7_grcat_1(X0),u1_struct_0(X0),u1_struct_0(X0))
& v1_funct_1(k7_grcat_1(X0)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+311.ax',dt_k7_grcat_1) ).
fof(f6164,axiom,
? [X0] :
( v3_realset2(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& v2_group_1(X0)
& ~ v3_struct_0(X0)
& l1_group_1(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+312.ax',rc1_group_6) ).
fof(f6168,axiom,
! [X0,X1] :
( ( l1_group_1(X1)
& v4_group_1(X1)
& v3_group_1(X1)
& ~ v3_struct_0(X1)
& l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& ~ v3_struct_0(X0) )
=> ? [X2] :
( v1_group_6(X2,X0,X1)
& v1_partfun1(X2,u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_1(X2)
& v1_relat_1(X2)
& ~ v1_xboole_0(X2)
& m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+312.ax',rc2_group_6) ).
fof(f6170,axiom,
! [X0] :
( ~ v1_xboole_0(X0)
=> ! [X1] :
( ~ v1_xboole_0(X1)
=> ! [X2] :
( ( m2_relset_1(X2,X0,X1)
& v1_funct_2(X2,X0,X1)
& v1_funct_1(X2) )
=> ( v2_funct_1(X2)
<=> ! [X3] :
( m1_subset_1(X3,X0)
=> ! [X4] :
( m1_subset_1(X4,X0)
=> ( k8_funct_2(X0,X1,X2,X3) = k8_funct_2(X0,X1,X2,X4)
=> X3 = X4 ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+312.ax',t1_group_6) ).
fof(f6180,axiom,
! [X0] :
( ( l1_struct_0(X0)
& ~ v3_struct_0(X0) )
=> ( v3_realset2(X0)
<=> ? [X1] : u1_struct_0(X0) = k1_tarski(X1) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+312.ax',d2_group_6) ).
fof(f6211,axiom,
! [X0] :
( ( l1_group_1(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( ( l1_group_1(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( ( m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_1(X2) )
=> ( v1_group_6(X2,X0,X1)
<=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X0))
=> ! [X4] :
( m1_subset_1(X4,u1_struct_0(X0))
=> k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,k1_group_1(X0,X3,X4)) = k1_group_1(X1,k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,X3),k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,X4)) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+312.ax',d7_group_6) ).
fof(f6215,axiom,
! [X0] :
( ( l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( ( l1_group_1(X1)
& v4_group_1(X1)
& v3_group_1(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( ( m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
& v1_group_6(X2,X0,X1)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_1(X2) )
=> k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,k2_group_1(X0)) = k2_group_1(X1) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+312.ax',t40_group_6) ).
fof(f6220,axiom,
! [X0] :
( m2_subset_1(X0,k1_numbers,k5_numbers)
=> ! [X1] :
( ( l1_group_1(X1)
& v4_group_1(X1)
& v3_group_1(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( ( l1_group_1(X2)
& v4_group_1(X2)
& v3_group_1(X2)
& ~ v3_struct_0(X2) )
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> ! [X4] :
( ( m2_relset_1(X4,u1_struct_0(X1),u1_struct_0(X2))
& v1_group_6(X4,X1,X2)
& v1_funct_2(X4,u1_struct_0(X1),u1_struct_0(X2))
& v1_funct_1(X4) )
=> k8_funct_2(u1_struct_0(X1),u1_struct_0(X2),X4,k6_group_1(X1,X0,X3)) = k6_group_1(X2,X0,k8_funct_2(u1_struct_0(X1),u1_struct_0(X2),X4,X3)) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+312.ax',t45_group_6) ).
fof(f6221,axiom,
! [X0] :
( v1_int_1(X0)
=> ! [X1] :
( ( l1_group_1(X1)
& v4_group_1(X1)
& v3_group_1(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( ( l1_group_1(X2)
& v4_group_1(X2)
& v3_group_1(X2)
& ~ v3_struct_0(X2) )
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> ! [X4] :
( ( m2_relset_1(X4,u1_struct_0(X1),u1_struct_0(X2))
& v1_group_6(X4,X1,X2)
& v1_funct_2(X4,u1_struct_0(X1),u1_struct_0(X2))
& v1_funct_1(X4) )
=> k8_funct_2(u1_struct_0(X1),u1_struct_0(X2),X4,k6_group_1(X1,X0,X3)) = k6_group_1(X2,X0,k8_funct_2(u1_struct_0(X1),u1_struct_0(X2),X4,X3)) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+312.ax',t46_group_6) ).
fof(f6222,axiom,
! [X0] :
( ( l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& ~ v3_struct_0(X0) )
=> ( m2_relset_1(k6_partfun1(u1_struct_0(X0)),u1_struct_0(X0),u1_struct_0(X0))
& v1_group_6(k6_partfun1(u1_struct_0(X0)),X0,X0)
& v1_funct_2(k6_partfun1(u1_struct_0(X0)),u1_struct_0(X0),u1_struct_0(X0))
& v1_funct_1(k6_partfun1(u1_struct_0(X0))) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+312.ax',t47_group_6) ).
fof(f6223,axiom,
! [X0] :
( ( l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( ( l1_group_1(X1)
& v4_group_1(X1)
& v3_group_1(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( ( l1_group_1(X2)
& v4_group_1(X2)
& v3_group_1(X2)
& ~ v3_struct_0(X2) )
=> ! [X3] :
( ( m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X0))
& v1_group_6(X3,X1,X0)
& v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X0))
& v1_funct_1(X3) )
=> ! [X4] :
( ( m2_relset_1(X4,u1_struct_0(X0),u1_struct_0(X2))
& v1_group_6(X4,X0,X2)
& v1_funct_2(X4,u1_struct_0(X0),u1_struct_0(X2))
& v1_funct_1(X4) )
=> ( m2_relset_1(k7_funct_2(u1_struct_0(X1),u1_struct_0(X0),u1_struct_0(X2),X3,X4),u1_struct_0(X1),u1_struct_0(X2))
& v1_group_6(k7_funct_2(u1_struct_0(X1),u1_struct_0(X0),u1_struct_0(X2),X3,X4),X1,X2)
& v1_funct_2(k7_funct_2(u1_struct_0(X1),u1_struct_0(X0),u1_struct_0(X2),X3,X4),u1_struct_0(X1),u1_struct_0(X2))
& v1_funct_1(k7_funct_2(u1_struct_0(X1),u1_struct_0(X0),u1_struct_0(X2),X3,X4)) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+312.ax',t48_group_6) ).
fof(f6230,axiom,
! [X0] :
( ( l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( ( l1_group_1(X1)
& v4_group_1(X1)
& v3_group_1(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( ( m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
& v1_group_6(X2,X0,X1)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_1(X2) )
=> ! [X3] :
( ( m1_group_2(X3,X1)
& v1_group_1(X3) )
=> ( X3 = k13_group_6(X0,X1,X2)
<=> u1_struct_0(X3) = k2_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,u1_struct_0(X0)) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+312.ax',d11_group_6) ).
fof(f6236,axiom,
! [X0] :
( ( l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( ( l1_group_1(X1)
& v4_group_1(X1)
& v3_group_1(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( ( m2_relset_1(X2,u1_struct_0(X1),u1_struct_0(X0))
& v1_group_6(X2,X1,X0)
& v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X0))
& v1_funct_1(X2) )
=> ( m2_relset_1(X2,u1_struct_0(X1),u1_struct_0(k13_group_6(X1,X0,X2)))
& v1_group_6(X2,X1,k13_group_6(X1,X0,X2))
& v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(k13_group_6(X1,X0,X2)))
& v1_funct_1(X2) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+312.ax',t58_group_6) ).
fof(f6237,axiom,
! [X0] :
( ( l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( ( l1_group_1(X1)
& v4_group_1(X1)
& v3_group_1(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( ( m2_relset_1(X2,u1_struct_0(X1),u1_struct_0(X0))
& v1_group_6(X2,X1,X0)
& v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X0))
& v1_funct_1(X2) )
=> ( v6_group_1(X1)
=> v6_group_1(k13_group_6(X1,X0,X2)) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+312.ax',t59_group_6) ).
fof(f6299,axiom,
! [X0,X1,X2] :
( ( m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
& v1_group_6(X2,X0,X1)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_1(X2)
& l1_group_1(X1)
& v4_group_1(X1)
& v3_group_1(X1)
& ~ v3_struct_0(X1)
& l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& ~ v3_struct_0(X0) )
=> ( m1_group_2(k13_group_6(X0,X1,X2),X1)
& v1_group_1(k13_group_6(X0,X1,X2)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+312.ax',dt_k13_group_6) ).
fof(f6304,axiom,
! [X0] :
( ( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ? [X1] :
( ~ v1_xboole_0(X1)
& m2_lattice4(X1,X0) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+375.ax',rc1_lattice4) ).
fof(f6312,axiom,
! [X0] :
( ( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( ( l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( ( m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_1(X2) )
=> ( m1_lattice4(X2,X0,X1)
<=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X0))
=> ! [X4] :
( m1_subset_1(X4,u1_struct_0(X0))
=> ( k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,k4_lattices(X0,X3,X4)) = k4_lattices(X1,k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,X3),k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,X4))
& k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,k3_lattices(X0,X3,X4)) = k3_lattices(X1,k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,X3),k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,X4)) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+375.ax',d1_lattice4) ).
fof(f6313,axiom,
! [X0] :
( ( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( ( l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X0))
=> ! [X4] :
( m1_lattice4(X4,X0,X1)
=> ( r3_lattices(X0,X2,X3)
=> r3_lattices(X1,k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X4,X2),k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X4,X3)) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+375.ax',t7_lattice4) ).
fof(f6314,axiom,
! [X0] :
( ( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( ( l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( ( m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_1(X2) )
=> ( v1_lattice4(X2,X0,X1)
<=> v2_funct_1(X2) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+375.ax',d2_lattice4) ).
fof(f6315,axiom,
! [X0] :
( ( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( ( l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( ( m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_1(X2) )
=> ( v2_lattice4(X2,X0,X1)
<=> k2_relat_1(X2) = u1_struct_0(X1) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+375.ax',d3_lattice4) ).
fof(f6316,axiom,
! [X0] :
( ( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( ( l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X0))
=> ! [X4] :
( m1_lattice4(X4,X0,X1)
=> ( v1_lattice4(X4,X0,X1)
=> ( r3_lattices(X0,X2,X3)
<=> r3_lattices(X1,k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X4,X2),k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X4,X3)) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+375.ax',t8_lattice4) ).
fof(f6317,axiom,
! [X0] :
( ( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( ( l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( ( m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_1(X2) )
=> ( v2_lattice4(X2,X0,X1)
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> ? [X4] :
( X3 = k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,X4)
& m1_subset_1(X4,u1_struct_0(X0)) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+375.ax',t9_lattice4) ).
fof(f6318,axiom,
! [X0] :
( ( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( ( l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( m1_lattice4(X2,X0,X1)
=> ( v3_lattice4(X2,X0,X1)
<=> ( v2_lattice4(X2,X0,X1)
& v1_lattice4(X2,X0,X1) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+375.ax',d4_lattice4) ).
fof(f6319,axiom,
! [X0] :
( ( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( ( l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ( r1_filter_1(X0,X1)
<=> ? [X2] :
( v3_lattice4(X2,X0,X1)
& m1_lattice4(X2,X0,X1) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+375.ax',d5_lattice4) ).
fof(f6324,axiom,
! [X0] :
( ( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
=> ( m2_lattice4(X1,X0)
<=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X0))
=> ( ( r2_hidden(X3,X1)
& r2_hidden(X2,X1) )
=> ( r2_hidden(k3_lattices(X0,X2,X3),X1)
& r2_hidden(k4_lattices(X0,X2,X3),X1) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+375.ax',d10_lattice4) ).
fof(f6325,axiom,
! [X0] :
( ( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> m2_lattice4(u1_struct_0(X0),X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+375.ax',t10_lattice4) ).
fof(f6326,axiom,
! [X0] :
( ( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_filter_0(X1,X0)
=> m2_lattice4(X1,X0) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+375.ax',t11_lattice4) ).
fof(f6328,axiom,
! [X0] :
( ( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_subset_1(X1,k5_finsub_1(u1_struct_0(X0)))
=> k1_lattice4(X0,X1) = k2_lattice2(u1_struct_0(X0),X0,X1,k7_grcat_1(X0)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+375.ax',d12_lattice4) ).
fof(f6329,axiom,
! [X0] :
( ( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_subset_1(X1,k5_finsub_1(u1_struct_0(X0)))
=> k2_lattice4(X0,X1) = k3_lattice2(u1_struct_0(X0),X0,X1,k7_grcat_1(X0)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+375.ax',d13_lattice4) ).
fof(f6332,axiom,
! [X0] :
( ( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_subset_1(X1,k5_finsub_1(u1_struct_0(X0)))
=> k2_lattice4(X0,X1) = k7_setwiseo(u1_struct_0(X0),u1_struct_0(X0),u1_lattices(X0),X1,k7_grcat_1(X0)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+375.ax',t14_lattice4) ).
fof(f6333,axiom,
! [X0] :
( ( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_subset_1(X1,k5_finsub_1(u1_struct_0(X0)))
=> k1_lattice4(X0,X1) = k7_setwiseo(u1_struct_0(X0),u1_struct_0(X0),u2_lattices(X0),X1,k7_grcat_1(X0)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+375.ax',t15_lattice4) ).
fof(f6335,axiom,
! [X0] :
( ( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> k2_lattice4(X0,k2_setwiseo(u1_struct_0(X0),X1)) = X1 ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+375.ax',t17_lattice4) ).
fof(f6336,axiom,
! [X0] :
( ( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( ( l3_lattices(X1)
& v11_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( m1_lattice4(X2,X1,X0)
=> ( v2_lattice4(X2,X1,X0)
=> v11_lattices(X0) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+375.ax',t18_lattice4) ).
fof(f6338,axiom,
! [X0] :
( ( l3_lattices(X0)
& v13_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_subset_1(X1,k5_finsub_1(u1_struct_0(X0)))
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ! [X3] :
( ( m2_relset_1(X3,u1_struct_0(X0),u1_struct_0(X0))
& v1_funct_2(X3,u1_struct_0(X0),u1_struct_0(X0))
& v1_funct_1(X3) )
=> k2_lattice2(u1_struct_0(X0),X0,k5_setwiseo(u1_struct_0(X0),X1,k2_setwiseo(u1_struct_0(X0),X2)),X3) = k3_lattices(X0,k2_lattice2(u1_struct_0(X0),X0,X1,X3),k8_funct_2(u1_struct_0(X0),u1_struct_0(X0),X3,X2)) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+375.ax',t20_lattice4) ).
fof(f6341,axiom,
! [X0] :
( ( l3_lattices(X0)
& v13_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> k1_lattice4(X0,k1_setwiseo(u1_struct_0(X0))) = k5_lattices(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+375.ax',t23_lattice4) ).
fof(f6342,axiom,
! [X0] :
( ( l3_lattices(X0)
& v13_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m2_lattice4(X1,X0)
=> ( r2_hidden(k5_lattices(X0),X1)
=> ! [X2] :
( m1_subset_1(X2,k5_finsub_1(u1_struct_0(X0)))
=> ( r1_tarski(X2,X1)
=> r2_hidden(k1_lattice4(X0,X2),X1) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+375.ax',t24_lattice4) ).
fof(f6344,axiom,
! [X0] :
( ( l3_lattices(X0)
& v14_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> k2_lattice4(X0,k1_setwiseo(u1_struct_0(X0))) = k6_lattices(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+375.ax',t26_lattice4) ).
fof(f6345,axiom,
! [X0] :
( ( l3_lattices(X0)
& v14_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_subset_1(X1,k5_finsub_1(u1_struct_0(X0)))
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ! [X3] :
( ( m2_relset_1(X3,u1_struct_0(X0),u1_struct_0(X0))
& v1_funct_2(X3,u1_struct_0(X0),u1_struct_0(X0))
& v1_funct_1(X3) )
=> k3_lattice2(u1_struct_0(X0),X0,k5_setwiseo(u1_struct_0(X0),X1,k2_setwiseo(u1_struct_0(X0),X2)),X3) = k4_lattices(X0,k3_lattice2(u1_struct_0(X0),X0,X1,X3),k8_funct_2(u1_struct_0(X0),u1_struct_0(X0),X3,X2)) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+375.ax',t27_lattice4) ).
fof(f6346,axiom,
! [X0] :
( ( l3_lattices(X0)
& v14_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_subset_1(X1,k5_finsub_1(u1_struct_0(X0)))
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> k2_lattice4(X0,k5_setwiseo(u1_struct_0(X0),X1,k2_setwiseo(u1_struct_0(X0),X2))) = k4_lattices(X0,k2_lattice4(X0,X1),X2) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+375.ax',t28_lattice4) ).
fof(f6348,axiom,
! [X0] :
( ( l3_lattices(X0)
& v14_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_subset_1(X1,k5_finsub_1(u1_struct_0(X0)))
=> ! [X2] :
( m1_subset_1(X2,k5_finsub_1(u1_struct_0(X0)))
=> k4_lattices(X0,k2_lattice4(X0,X1),k2_lattice4(X0,X2)) = k2_lattice4(X0,k5_setwiseo(u1_struct_0(X0),X1,X2)) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+375.ax',t30_lattice4) ).
fof(f6349,axiom,
! [X0] :
( ( l3_lattices(X0)
& v14_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m2_lattice4(X1,X0)
=> ( r2_hidden(k6_lattices(X0),X1)
=> ! [X2] :
( m1_subset_1(X2,k5_finsub_1(u1_struct_0(X0)))
=> ( r1_tarski(X2,X1)
=> r2_hidden(k2_lattice4(X0,X2),X1) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+375.ax',t31_lattice4) ).
fof(f6351,axiom,
! [X0] :
( ( l3_lattices(X0)
& v16_lattices(X0)
& v15_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( ( l3_lattices(X1)
& v3_filter_0(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( m1_lattice4(X2,X1,X0)
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> ! [X4] :
( m1_subset_1(X4,u1_struct_0(X1))
=> r3_lattices(X0,k4_lattices(X0,k8_funct_2(u1_struct_0(X1),u1_struct_0(X0),X2,X3),k8_funct_2(u1_struct_0(X1),u1_struct_0(X0),X2,k4_filter_0(X1,X3,X4))),k8_funct_2(u1_struct_0(X1),u1_struct_0(X0),X2,X4)) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+375.ax',t33_lattice4) ).
fof(f6352,axiom,
! [X0] :
( ( l3_lattices(X0)
& v16_lattices(X0)
& v15_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( ( l3_lattices(X1)
& v3_filter_0(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( m1_lattice4(X2,X1,X0)
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> ! [X4] :
( m1_subset_1(X4,u1_struct_0(X1))
=> ! [X5] :
( m1_subset_1(X5,u1_struct_0(X1))
=> ( ( r3_lattices(X0,k4_lattices(X0,k8_funct_2(u1_struct_0(X1),u1_struct_0(X0),X2,X3),k8_funct_2(u1_struct_0(X1),u1_struct_0(X0),X2,X4)),k8_funct_2(u1_struct_0(X1),u1_struct_0(X0),X2,X5))
& v1_lattice4(X2,X1,X0) )
=> r3_lattices(X0,k8_funct_2(u1_struct_0(X1),u1_struct_0(X0),X2,X4),k8_funct_2(u1_struct_0(X1),u1_struct_0(X0),X2,k4_filter_0(X1,X3,X5))) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+375.ax',t34_lattice4) ).
fof(f6354,axiom,
! [X0] :
( ( l3_lattices(X0)
& v17_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> k7_lattices(X0,k6_lattices(X0)) = k5_lattices(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+375.ax',t36_lattice4) ).
fof(f6355,axiom,
! [X0] :
( ( l3_lattices(X0)
& v17_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> k7_lattices(X0,k5_lattices(X0)) = k6_lattices(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+375.ax',t37_lattice4) ).
fof(f6371,axiom,
! [X0,X1] :
( ( l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1)
& l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ! [X2] :
( m1_lattice4(X2,X0,X1)
=> ( m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_1(X2) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+375.ax',dt_m1_lattice4) ).
fof(f6372,axiom,
! [X0,X1] :
( ( l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1)
& l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ? [X2] : m1_lattice4(X2,X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+375.ax',existence_m1_lattice4) ).
fof(f6373,axiom,
! [X0] :
( ( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m2_lattice4(X1,X0)
=> m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+375.ax',dt_m2_lattice4) ).
fof(f6374,axiom,
! [X0] :
( ( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ? [X1] : m2_lattice4(X1,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+375.ax',existence_m2_lattice4) ).
fof(f6378,axiom,
! [X0,X1] :
( ( m1_subset_1(X1,k5_finsub_1(u1_struct_0(X0)))
& l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> m1_subset_1(k2_lattice4(X0,X1),u1_struct_0(X0)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+375.ax',dt_k2_lattice4) ).
fof(f6387,axiom,
! [X0] :
( ( l1_pre_topc(X0)
& ~ v3_struct_0(X0) )
=> m1_subset_1(k1_lopclset(X0),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(X0)))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k1_lopclset) ).
fof(f6398,axiom,
! [X0] :
( ( l1_pre_topc(X0)
& v2_pre_topc(X0)
& ~ v3_struct_0(X0) )
=> ( l3_lattices(k6_lopclset(X0))
& v10_lattices(k6_lopclset(X0))
& ~ v3_struct_0(k6_lopclset(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k6_lopclset) ).
fof(f6399,axiom,
! [X0] :
( ( l3_lattices(X0)
& ~ v3_realset2(X0)
& v17_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> m1_subset_1(k7_lopclset(X0),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(X0)))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k7_lopclset) ).
fof(f6400,axiom,
! [X0] :
( ( l3_lattices(X0)
& ~ v3_realset2(X0)
& v17_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ( v1_funct_1(k8_lopclset(X0))
& v1_relat_1(k8_lopclset(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k8_lopclset) ).
fof(f6401,axiom,
! [X0] :
( ( l3_lattices(X0)
& ~ v3_realset2(X0)
& v17_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ( m2_relset_1(k9_lopclset(X0),u1_struct_0(X0),k1_zfmisc_1(k7_lopclset(X0)))
& v1_funct_2(k9_lopclset(X0),u1_struct_0(X0),k1_zfmisc_1(k7_lopclset(X0)))
& v1_funct_1(k9_lopclset(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k9_lopclset) ).
fof(f6402,axiom,
! [X0] :
( ( l3_lattices(X0)
& ~ v3_realset2(X0)
& v17_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> k9_lopclset(X0) = k8_lopclset(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k9_lopclset) ).
fof(f6404,axiom,
! [X0] :
( ( l3_lattices(X0)
& ~ v3_realset2(X0)
& v17_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ( l1_pre_topc(k11_lopclset(X0))
& v2_pre_topc(k11_lopclset(X0))
& v1_pre_topc(k11_lopclset(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k11_lopclset) ).
fof(f6405,axiom,
! [X0] :
( ( l3_lattices(X0)
& ~ v3_realset2(X0)
& v17_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ( l3_lattices(k12_lopclset(X0))
& v10_lattices(k12_lopclset(X0))
& ~ v3_struct_0(k12_lopclset(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k12_lopclset) ).
fof(f6406,axiom,
! [X0] :
( ( l3_lattices(X0)
& ~ v3_realset2(X0)
& v17_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> m1_lattice4(k13_lopclset(X0),X0,k12_lopclset(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k13_lopclset) ).
fof(f6407,axiom,
! [X0] :
( ( l3_lattices(X0)
& ~ v3_realset2(X0)
& v17_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> k13_lopclset(X0) = k8_lopclset(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k13_lopclset) ).
fof(f6409,axiom,
! [X0] :
( ( l1_pre_topc(X0)
& v2_pre_topc(X0)
& ~ v3_struct_0(X0) )
=> ~ v1_xboole_0(k1_lopclset(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_lopclset) ).
fof(f6411,axiom,
! [X0] :
( ( l1_pre_topc(X0)
& v2_pre_topc(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
=> ( r2_hidden(X1,k1_lopclset(X0))
=> v3_pre_topc(X1,X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_lopclset) ).
fof(f6412,axiom,
! [X0] :
( ( l1_pre_topc(X0)
& v2_pre_topc(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
=> ( r2_hidden(X1,k1_lopclset(X0))
=> v4_pre_topc(X1,X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t3_lopclset) ).
fof(f6413,axiom,
! [X0] :
( ( l1_pre_topc(X0)
& v2_pre_topc(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
=> ( ( v4_pre_topc(X1,X0)
& v3_pre_topc(X1,X0) )
=> r2_hidden(X1,k1_lopclset(X0)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t4_lopclset) ).
fof(f6418,axiom,
! [X0] :
( ( l1_pre_topc(X0)
& v2_pre_topc(X0)
& ~ v3_struct_0(X0) )
=> m2_subset_1(k1_pre_topc(X0),k1_zfmisc_1(u1_struct_0(X0)),k1_lopclset(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t7_lopclset) ).
fof(f6419,axiom,
! [X0] :
( ( l1_pre_topc(X0)
& v2_pre_topc(X0)
& ~ v3_struct_0(X0) )
=> m2_subset_1(k2_pre_topc(X0),k1_zfmisc_1(u1_struct_0(X0)),k1_lopclset(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t8_lopclset) ).
fof(f6420,axiom,
! [X0] :
( ( l1_pre_topc(X0)
& v2_pre_topc(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m2_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)),k1_lopclset(X0))
=> m2_subset_1(k3_subset_1(u1_struct_0(X0),X1),k1_zfmisc_1(u1_struct_0(X0)),k1_lopclset(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t9_lopclset) ).
fof(f6423,axiom,
! [X0] :
( ( l1_pre_topc(X0)
& v2_pre_topc(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(k6_lopclset(X0)))
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(k6_lopclset(X0)))
=> k3_lattices(k6_lopclset(X0),X1,X2) = k2_xboole_0(X1,X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t11_lopclset) ).
fof(f6424,axiom,
! [X0] :
( ( l1_pre_topc(X0)
& v2_pre_topc(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(k6_lopclset(X0)))
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(k6_lopclset(X0)))
=> k4_lattices(k6_lopclset(X0),X1,X2) = k3_xboole_0(X1,X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t12_lopclset) ).
fof(f6425,axiom,
! [X0] :
( ( l1_pre_topc(X0)
& v2_pre_topc(X0)
& ~ v3_struct_0(X0) )
=> u1_struct_0(k6_lopclset(X0)) = k1_lopclset(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t13_lopclset) ).
fof(f6426,axiom,
! [X0] :
( ( l1_pre_topc(X0)
& v2_pre_topc(X0)
& ~ v3_struct_0(X0) )
=> v17_lattices(k6_lopclset(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t14_lopclset) ).
fof(f6427,axiom,
! [X0] :
( ( l1_pre_topc(X0)
& v2_pre_topc(X0)
& ~ v3_struct_0(X0) )
=> m1_subset_1(k2_pre_topc(X0),u1_struct_0(k6_lopclset(X0))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t15_lopclset) ).
fof(f6428,axiom,
! [X0] :
( ( l1_pre_topc(X0)
& v2_pre_topc(X0)
& ~ v3_struct_0(X0) )
=> m1_subset_1(k1_pre_topc(X0),u1_struct_0(k6_lopclset(X0))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t16_lopclset) ).
fof(f6431,axiom,
! [X0] :
( ( l3_lattices(X0)
& ~ v3_realset2(X0)
& v17_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ~ v1_xboole_0(k7_lopclset(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc2_lopclset) ).
fof(f6433,axiom,
! [X0,X1] :
( ( l3_lattices(X1)
& ~ v3_realset2(X1)
& v17_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ( r2_hidden(X0,k7_lopclset(X1))
<=> ? [X2] :
( v1_filter_0(X2,X1)
& X2 = X0
& m1_filter_0(X2,X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t18_lopclset) ).
fof(f6436,axiom,
! [X0,X1] :
( ( l3_lattices(X1)
& ~ v3_realset2(X1)
& v17_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> ( r2_hidden(X0,k1_funct_1(k8_lopclset(X1),X2))
<=> ? [X3] :
( r2_hidden(X2,X3)
& v1_filter_0(X3,X1)
& X3 = X0
& m1_filter_0(X3,X1) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t20_lopclset) ).
fof(f6437,axiom,
! [X0] :
( ( l3_lattices(X0)
& ~ v3_realset2(X0)
& v17_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ! [X2] :
( m1_filter_0(X2,X0)
=> ( r2_hidden(X2,k1_funct_1(k8_lopclset(X0),X1))
<=> ( r2_hidden(X1,X2)
& v1_filter_0(X2,X0) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t21_lopclset) ).
fof(f6438,axiom,
! [X0] :
( ( l3_lattices(X0)
& ~ v3_realset2(X0)
& v17_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ! [X3] :
( m1_filter_0(X3,X0)
=> ( v1_filter_0(X3,X0)
=> ( r2_hidden(k3_lattices(X0,X1,X2),X3)
<=> ( r2_hidden(X2,X3)
| r2_hidden(X1,X3) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t22_lopclset) ).
fof(f6439,axiom,
! [X0] :
( ( l3_lattices(X0)
& ~ v3_realset2(X0)
& v17_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> k1_funct_1(k8_lopclset(X0),k4_lattices(X0,X1,X2)) = k3_xboole_0(k1_funct_1(k8_lopclset(X0),X1),k1_funct_1(k8_lopclset(X0),X2)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t23_lopclset) ).
fof(f6440,axiom,
! [X0] :
( ( l3_lattices(X0)
& ~ v3_realset2(X0)
& v17_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> k1_funct_1(k8_lopclset(X0),k3_lattices(X0,X1,X2)) = k2_xboole_0(k1_funct_1(k8_lopclset(X0),X1),k1_funct_1(k8_lopclset(X0),X2)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t24_lopclset) ).
fof(f6441,axiom,
! [X0] :
( ( l3_lattices(X0)
& ~ v3_realset2(X0)
& v17_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> k10_lopclset(X0) = k2_relat_1(k9_lopclset(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d7_lopclset) ).
fof(f6442,axiom,
! [X0] :
( ( l3_lattices(X0)
& ~ v3_realset2(X0)
& v17_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ~ v1_xboole_0(k10_lopclset(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc3_lopclset) ).
fof(f6443,axiom,
! [X0] :
( ( l3_lattices(X0)
& ~ v3_realset2(X0)
& v17_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> r1_tarski(k10_lopclset(X0),k1_zfmisc_1(k7_lopclset(X0))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t25_lopclset) ).
fof(f6444,axiom,
! [X0,X1] :
( ( l3_lattices(X1)
& ~ v3_realset2(X1)
& v17_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ( r2_hidden(X0,k10_lopclset(X1))
<=> ? [X2] :
( k8_funct_2(u1_struct_0(X1),k1_zfmisc_1(k7_lopclset(X1)),k9_lopclset(X1),X2) = X0
& m1_subset_1(X2,u1_struct_0(X1)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t26_lopclset) ).
fof(f6446,axiom,
! [X0] :
( ( l3_lattices(X0)
& ~ v3_realset2(X0)
& v17_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ( v2_pre_topc(k11_lopclset(X0))
& v1_pre_topc(k11_lopclset(X0))
& ~ v3_struct_0(k11_lopclset(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc4_lopclset) ).
fof(f6447,axiom,
! [X0] :
( ( l3_lattices(X0)
& ~ v3_realset2(X0)
& v17_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ! [X2] :
( m1_filter_0(X2,X0)
=> ~ ( r2_hidden(X1,X2)
& ~ r2_hidden(X2,k8_funct_2(u1_struct_0(X0),k1_zfmisc_1(k7_lopclset(X0)),k9_lopclset(X0),X1))
& v1_filter_0(X2,X0) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t27_lopclset) ).
fof(f6448,axiom,
! [X0] :
( ( l3_lattices(X0)
& ~ v3_realset2(X0)
& v17_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> k4_xboole_0(k7_lopclset(X0),k8_funct_2(u1_struct_0(X0),k1_zfmisc_1(k7_lopclset(X0)),k9_lopclset(X0),X1)) = k8_funct_2(u1_struct_0(X0),k1_zfmisc_1(k7_lopclset(X0)),k9_lopclset(X0),k7_lattices(X0,X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t28_lopclset) ).
fof(f6449,axiom,
! [X0] :
( ( l3_lattices(X0)
& ~ v3_realset2(X0)
& v17_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> k12_lopclset(X0) = k6_lopclset(k11_lopclset(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d9_lopclset) ).
fof(f6450,axiom,
! [X0] :
( ( l3_lattices(X0)
& ~ v3_realset2(X0)
& v17_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(k11_lopclset(X0))))
=> ( r2_hidden(X1,k10_lopclset(X0))
=> v3_pre_topc(X1,k11_lopclset(X0)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l38_lopclset) ).
fof(f6451,axiom,
! [X0] :
( ( l3_lattices(X0)
& ~ v3_realset2(X0)
& v17_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> v2_funct_1(k9_lopclset(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t29_lopclset) ).
fof(f6452,axiom,
! [X0] :
( ( l3_lattices(X0)
& ~ v3_realset2(X0)
& v17_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> k3_tarski(k10_lopclset(X0)) = k7_lopclset(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t30_lopclset) ).
fof(f6454,axiom,
! [X0] :
( ~ v1_xboole_0(X0)
=> ~ ! [X1] :
( m1_subset_1(X1,k5_finsub_1(X0))
=> v1_xboole_0(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t32_lopclset) ).
fof(f6455,axiom,
! [X0] :
( ~ v1_xboole_0(X0)
=> ? [X1] :
( v1_finset_1(X1)
& ~ v1_xboole_0(X1)
& m1_subset_1(X1,k5_finsub_1(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc2_lopclset) ).
fof(f6457,axiom,
! [X0] :
( ( l3_lattices(X0)
& ~ v3_realset2(X0)
& v17_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( ( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
& ~ v1_xboole_0(X1) )
=> ~ ( ! [X2] :
( ( m1_subset_1(X2,k5_finsub_1(u1_struct_0(X0)))
& ~ v1_xboole_0(X2) )
=> ~ ( k2_lattice4(X0,X2) = k5_lattices(X0)
& r1_tarski(X2,X1) ) )
& r2_hidden(k5_lattices(X0),k3_filter_0(X0,X1)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t34_lopclset) ).
fof(f6458,axiom,
! [X0] :
( ( l3_lattices(X0)
& v13_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_filter_0(X1,X0)
=> ~ ( r2_hidden(k5_lattices(X0),X1)
& v1_filter_0(X1,X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t35_lopclset) ).
fof(f6459,axiom,
! [X0] :
( ( l3_lattices(X0)
& ~ v3_realset2(X0)
& v17_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> k8_funct_2(u1_struct_0(X0),k1_zfmisc_1(k7_lopclset(X0)),k9_lopclset(X0),k5_lattices(X0)) = k1_xboole_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t36_lopclset) ).
fof(f6460,axiom,
! [X0] :
( ( l3_lattices(X0)
& ~ v3_realset2(X0)
& v17_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> k8_funct_2(u1_struct_0(X0),k1_zfmisc_1(k7_lopclset(X0)),k9_lopclset(X0),k6_lattices(X0)) = k7_lopclset(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t37_lopclset) ).
fof(f6461,axiom,
! [X0,X1] :
( ( l3_lattices(X1)
& ~ v3_realset2(X1)
& v17_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ~ ( ! [X2] :
( m1_subset_1(X2,k5_finsub_1(X0))
=> k7_lopclset(X1) != k3_tarski(X2) )
& m1_subset_1(X0,k1_zfmisc_1(k10_lopclset(X1)))
& k7_lopclset(X1) = k3_tarski(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t38_lopclset) ).
fof(f6462,axiom,
! [X0] :
( ( l3_lattices(X0)
& ~ v3_realset2(X0)
& v17_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> r1_tarski(k10_lopclset(X0),k1_lopclset(k11_lopclset(X0))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l49_lopclset) ).
fof(f6464,axiom,
! [X0] :
( ( l3_lattices(X0)
& ~ v3_realset2(X0)
& v17_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> k10_lopclset(X0) = k1_lopclset(k11_lopclset(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t40_lopclset) ).
fof(f6465,axiom,
! [X0] :
( ( l3_lattices(X0)
& ~ v3_realset2(X0)
& v17_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> k2_relat_1(k13_lopclset(X0)) = u1_struct_0(k12_lopclset(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t41_lopclset) ).
fof(f6466,axiom,
! [X0] :
( ( l3_lattices(X0)
& ~ v3_realset2(X0)
& v17_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> v3_lattice4(k13_lopclset(X0),X0,k12_lopclset(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t42_lopclset) ).
fof(f6467,axiom,
! [X0] :
( ( l3_lattices(X0)
& ~ v3_realset2(X0)
& v17_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> r1_filter_1(X0,k12_lopclset(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t43_lopclset) ).
fof(f6468,conjecture,
! [X0] :
( ( l3_lattices(X0)
& ~ v3_realset2(X0)
& v17_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ? [X1] :
( r1_filter_1(X0,k6_lopclset(X1))
& l1_pre_topc(X1)
& v2_pre_topc(X1)
& ~ v3_struct_0(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t44_lopclset) ).
fof(f6469,negated_conjecture,
~ ! [X0] :
( ( l3_lattices(X0)
& ~ v3_realset2(X0)
& v17_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ? [X1] :
( r1_filter_1(X0,k6_lopclset(X1))
& l1_pre_topc(X1)
& v2_pre_topc(X1)
& ~ v3_struct_0(X1) ) ),
inference(negated_conjecture,[status(cth)],[f6468]) ).
fof(f6470,plain,
! [X0] :
( ( v1_funct_1(X0)
& v1_relat_1(X0) )
=> ! [X1] :
( ( v1_funct_1(X1)
& v1_relat_1(X1) )
=> ~ ( ! [X3] :
( ( v1_funct_1(X3)
& v1_relat_1(X3) )
=> k2_xboole_0(X0,X1) != X3 )
& ! [X2] :
( r2_hidden(X2,k3_xboole_0(k1_relat_1(X0),k1_relat_1(X1)))
=> k1_funct_1(X0,X2) = k1_funct_1(X1,X2) ) ) ) ),
inference(rectify,[],[f1353]) ).
fof(f6472,plain,
! [X0] :
( ( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( ( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
& ~ v1_xboole_0(X1) )
=> ( m1_filter_0(X1,X0)
<=> ( ! [X4] :
( m1_subset_1(X4,u1_struct_0(X0))
=> ! [X5] :
( m1_subset_1(X5,u1_struct_0(X0))
=> ( ( r3_lattices(X0,X4,X5)
& r2_hidden(X4,X1) )
=> r2_hidden(X5,X1) ) ) )
& ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X0))
=> ( ( r2_hidden(X3,X1)
& r2_hidden(X2,X1) )
=> r2_hidden(k4_lattices(X0,X2,X3),X1) ) ) ) ) ) ) ),
inference(rectify,[],[f5492]) ).
fof(f6473,plain,
! [X0] :
( ( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ( ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X0))
=> k4_lattices(X0,X1,k3_lattices(X0,X2,X3)) = k3_lattices(X0,k4_lattices(X0,X1,X2),k4_lattices(X0,X1,X3)) ) ) )
<=> ! [X4] :
( m1_subset_1(X4,u1_struct_0(X0))
=> ! [X5] :
( m1_subset_1(X5,u1_struct_0(X0))
=> ! [X6] :
( m1_subset_1(X6,u1_struct_0(X0))
=> k3_lattices(X0,X4,k4_lattices(X0,X5,X6)) = k4_lattices(X0,k3_lattices(X0,X4,X5),k3_lattices(X0,X4,X6)) ) ) ) ) ),
inference(rectify,[],[f4539]) ).
fof(f6474,plain,
! [X0] : k2_xboole_0(X0,X0) = X0,
inference(rectify,[],[f55]) ).
fof(f6475,plain,
! [X0] : r1_tarski(X0,X0),
inference(rectify,[],[f18]) ).
fof(f6476,plain,
! [X0] :
~ ( ! [X4,X5] : ~ r1_tarski(X0,k2_zfmisc_1(X4,X5))
& ! [X1] :
~ ( ! [X2,X3] : X1 != k4_tarski(X2,X3)
& r2_hidden(X1,X0) ) ),
inference(rectify,[],[f2095]) ).
fof(f6477,plain,
! [X0] :
( ( ! [X4,X5,X6] :
( ( r2_hidden(k4_tarski(X4,X6),X0)
& r2_hidden(k4_tarski(X4,X5),X0) )
=> X5 = X6 )
& ! [X1] :
~ ( ! [X2,X3] : k4_tarski(X2,X3) != X1
& r2_hidden(X1,X0) ) )
=> ( v1_funct_1(X0)
& v1_relat_1(X0) ) ),
inference(rectify,[],[f929]) ).
fof(f6478,plain,
! [X0,X1] :
( ( ! [X8,X9] :
( r2_hidden(k4_tarski(X8,X9),X0)
<=> r2_hidden(k4_tarski(X8,X9),X1) )
& ! [X5] :
~ ( ! [X6,X7] : k4_tarski(X6,X7) != X5
& r2_hidden(X5,X1) )
& ! [X2] :
~ ( ! [X3,X4] : X2 != k4_tarski(X3,X4)
& r2_hidden(X2,X0) ) )
=> X0 = X1 ),
inference(rectify,[],[f437]) ).
fof(f6479,plain,
! [X0,X1] :
( ( ! [X5,X6] :
( r2_hidden(k4_tarski(X5,X6),X0)
=> r2_hidden(k4_tarski(X5,X6),X1) )
& ! [X2] :
~ ( ! [X3,X4] : X2 != k4_tarski(X3,X4)
& r2_hidden(X2,X0) ) )
=> r1_tarski(X0,X1) ),
inference(rectify,[],[f436]) ).
fof(f6480,plain,
! [X0] :
( ~ v1_xboole_0(X0)
=> ! [X1] :
( ~ v1_xboole_0(X1)
=> ! [X2] :
( ( m2_relset_1(X2,k2_zfmisc_1(X1,X1),X1)
& v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
& v1_funct_1(X2) )
=> ( ( v1_setwiseo(X2,X1)
& v3_binop_1(X2,X1)
& v2_binop_1(X2,X1)
& v1_binop_1(X2,X1) )
=> ! [X3] :
( ~ v1_xboole_0(X3)
=> ! [X4] :
( ( m2_relset_1(X4,k2_zfmisc_1(X3,X3),X3)
& v1_funct_2(X4,k2_zfmisc_1(X3,X3),X3)
& v1_funct_1(X4) )
=> ( ( v1_setwiseo(X4,X3)
& v3_binop_1(X4,X3)
& v2_binop_1(X4,X3)
& v1_binop_1(X4,X3) )
=> ! [X5] :
( ( m2_relset_1(X5,X0,X1)
& v1_funct_2(X5,X0,X1)
& v1_funct_1(X5) )
=> ! [X6] :
( ( m2_relset_1(X6,X1,X3)
& v1_funct_2(X6,X1,X3)
& v1_funct_1(X6) )
=> ( ( ! [X7] :
( m1_subset_1(X7,X1)
=> ! [X8] :
( m1_subset_1(X8,X1)
=> k8_funct_2(X1,X3,X6,k2_binop_1(X1,X1,X1,X2,X7,X8)) = k2_binop_1(X3,X3,X3,X4,k8_funct_2(X1,X3,X6,X7),k8_funct_2(X1,X3,X6,X8)) ) )
& k8_funct_2(X1,X3,X6,k3_binop_1(X1,X2)) = k3_binop_1(X3,X4) )
=> ! [X9] :
( m1_subset_1(X9,k5_finsub_1(X0))
=> k8_funct_2(X1,X3,X6,k7_setwiseo(X0,X1,X2,X9,X5)) = k7_setwiseo(X0,X3,X4,X9,k7_funct_2(X0,X1,X3,X5,X6)) ) ) ) ) ) ) ) ) ) ) ),
inference(rectify,[],[f2479]) ).
fof(f6481,plain,
! [X0,X1] :
( ( m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
& v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
& v1_funct_1(X1) )
=> ( ? [X2] :
( r3_binop_1(X0,X2,X1)
& m1_subset_1(X2,X0) )
=> ! [X3] :
( m1_subset_1(X3,X0)
=> ( k3_binop_1(X0,X1) = X3
<=> r3_binop_1(X0,X3,X1) ) ) ) ),
inference(rectify,[],[f2065]) ).
fof(f6482,plain,
! [X0] :
( ~ v1_xboole_0(X0)
=> ! [X1] :
( ~ v1_xboole_0(X1)
=> ! [X2] :
( ( m2_relset_1(X2,k2_zfmisc_1(X1,X1),X1)
& v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
& v1_funct_1(X2) )
=> ! [X3] :
( m1_subset_1(X3,k5_finsub_1(X0))
=> ! [X4] :
( ( m2_relset_1(X4,X0,X1)
& v1_funct_2(X4,X0,X1)
& v1_funct_1(X4) )
=> ( ( v2_binop_1(X2,X1)
& v1_binop_1(X2,X1)
& v3_binop_1(X2,X1) )
=> ( ! [X5] :
( m1_subset_1(X5,X1)
=> ( X5 = k7_setwiseo(X0,X1,X2,X3,X4)
<=> ? [X6] :
( ! [X9] :
( m1_subset_1(X9,k5_finsub_1(X0))
=> ( r1_tarski(X9,X3)
=> ( ! [X10] :
( m1_subset_1(X10,X0)
=> ( r2_hidden(X10,X3)
=> k8_funct_2(k5_finsub_1(X0),X1,X6,k5_setwiseo(X0,X9,k2_setwiseo(X0,X10))) = k2_binop_1(X1,X1,X1,X2,k8_funct_2(k5_finsub_1(X0),X1,X6,X9),k8_funct_2(X0,X1,X4,X10)) ) )
| k1_xboole_0 = X9 ) ) )
& ! [X8] :
( m1_subset_1(X8,X0)
=> k8_funct_2(X0,X1,X4,X8) = k8_funct_2(k5_finsub_1(X0),X1,X6,k2_setwiseo(X0,X8)) )
& ! [X7] :
( m1_subset_1(X7,X1)
=> ( r3_binop_1(X1,X7,X2)
=> k1_funct_1(X6,k1_xboole_0) = X7 ) )
& X5 = k8_funct_2(k5_finsub_1(X0),X1,X6,X3)
& m2_relset_1(X6,k5_finsub_1(X0),X1)
& v1_funct_2(X6,k5_finsub_1(X0),X1)
& v1_funct_1(X6) ) ) )
| ( ~ v1_setwiseo(X2,X1)
& X3 = k1_xboole_0 ) ) ) ) ) ) ) ),
inference(rectify,[],[f2459]) ).
fof(f6483,plain,
! [X0,X1] :
( m1_subset_1(X1,k1_zfmisc_1(X0))
=> ( ~ ( v1_realset1(X1)
& ? [X4] :
( ? [X5] :
( X4 != X5
& r2_hidden(X5,X1)
& r2_hidden(X4,X1)
& m1_subset_1(X5,X0) )
& m1_subset_1(X4,X0) ) )
& ~ ( ! [X2] :
( m1_subset_1(X2,X0)
=> ! [X3] :
( m1_subset_1(X3,X0)
=> ~ ( X2 != X3
& r2_hidden(X3,X1)
& r2_hidden(X2,X1) ) ) )
& ~ v1_realset1(X1) ) ) ),
inference(rectify,[],[f4094]) ).
fof(f6484,plain,
! [X0] :
( ~ ( v1_realset1(X0)
& ? [X3,X4] :
( X3 != X4
& r2_hidden(X4,X0)
& r2_hidden(X3,X0) ) )
& ~ ( ! [X1,X2] :
~ ( X1 != X2
& r2_hidden(X2,X0)
& r2_hidden(X1,X0) )
& ~ v1_realset1(X0) ) ),
inference(rectify,[],[f4093]) ).
fof(f6485,plain,
! [X0] :
( ~ v1_xboole_0(X0)
=> ! [X1] :
( ~ v1_xboole_0(X1)
=> ! [X2] :
( ( m2_relset_1(X2,k2_zfmisc_1(X1,X1),X1)
& v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
& v1_funct_1(X2) )
=> ( ( v3_binop_1(X2,X1)
& v2_binop_1(X2,X1)
& v1_binop_1(X2,X1) )
=> ! [X3] :
( ~ v1_xboole_0(X3)
=> ! [X4] :
( ( m2_relset_1(X4,k2_zfmisc_1(X3,X3),X3)
& v1_funct_2(X4,k2_zfmisc_1(X3,X3),X3)
& v1_funct_1(X4) )
=> ( ( v3_binop_1(X4,X3)
& v2_binop_1(X4,X3)
& v1_binop_1(X4,X3) )
=> ! [X5] :
( ( m2_relset_1(X5,X0,X1)
& v1_funct_2(X5,X0,X1)
& v1_funct_1(X5) )
=> ! [X6] :
( ( m2_relset_1(X6,X1,X3)
& v1_funct_2(X6,X1,X3)
& v1_funct_1(X6) )
=> ( ! [X7] :
( m1_subset_1(X7,X1)
=> ! [X8] :
( m1_subset_1(X8,X1)
=> k8_funct_2(X1,X3,X6,k2_binop_1(X1,X1,X1,X2,X7,X8)) = k2_binop_1(X3,X3,X3,X4,k8_funct_2(X1,X3,X6,X7),k8_funct_2(X1,X3,X6,X8)) ) )
=> ! [X9] :
( m1_subset_1(X9,k5_finsub_1(X0))
=> ( k1_xboole_0 != X9
=> k8_funct_2(X1,X3,X6,k7_setwiseo(X0,X1,X2,X9,X5)) = k7_setwiseo(X0,X3,X4,X9,k7_funct_2(X0,X1,X3,X5,X6)) ) ) ) ) ) ) ) ) ) ) ) ),
inference(rectify,[],[f2473]) ).
fof(f6486,plain,
! [X0] :
( ( v1_funct_1(X0)
& v1_relat_1(X0) )
=> ! [X1] :
( ( v1_funct_1(X1)
& v1_relat_1(X1) )
=> ! [X2] :
( ( v1_funct_1(X2)
& v1_relat_1(X2) )
=> ( ( ! [X4] :
( r2_hidden(X4,k1_relat_1(X2))
=> k1_funct_1(X2,X4) = k1_funct_1(X1,k1_funct_1(X0,X4)) )
& ! [X3] :
( r2_hidden(X3,k1_relat_1(X2))
<=> ( r2_hidden(k1_funct_1(X0,X3),k1_relat_1(X1))
& r2_hidden(X3,k1_relat_1(X0)) ) ) )
=> X2 = k5_relat_1(X0,X1) ) ) ) ),
inference(rectify,[],[f951]) ).
fof(f6487,plain,
! [X0,X1] :
( ~ ( r1_xboole_0(X0,X1)
& ? [X3] : r2_hidden(X3,k3_xboole_0(X0,X1)) )
& ~ ( ! [X2] : ~ r2_hidden(X2,k3_xboole_0(X0,X1))
& ~ r1_xboole_0(X0,X1) ) ),
inference(rectify,[],[f42]) ).
fof(f6488,plain,
! [X0,X1] :
( ~ ( r1_xboole_0(X0,X1)
& ? [X3] :
( r2_hidden(X3,X1)
& r2_hidden(X3,X0) ) )
& ~ ( ! [X2] :
~ ( r2_hidden(X2,X1)
& r2_hidden(X2,X0) )
& ~ r1_xboole_0(X0,X1) ) ),
inference(rectify,[],[f41]) ).
fof(f6489,plain,
! [X0] :
( ( v1_finseq_1(X0)
& v1_funct_1(X0)
& v1_relat_1(X0) )
=> ! [X1] :
( ( v1_finseq_1(X1)
& v1_funct_1(X1)
& v1_relat_1(X1) )
=> ! [X2] :
( ( v1_finseq_1(X2)
& v1_funct_1(X2)
& v1_relat_1(X2) )
=> ( X2 = k7_finseq_1(X0,X1)
<=> ( ! [X4] :
( m2_subset_1(X4,k1_numbers,k5_numbers)
=> ( r2_hidden(X4,k4_finseq_1(X1))
=> k1_funct_1(X1,X4) = k1_funct_1(X2,k1_nat_1(k3_finseq_1(X0),X4)) ) )
& ! [X3] :
( m2_subset_1(X3,k1_numbers,k5_numbers)
=> ( r2_hidden(X3,k4_finseq_1(X0))
=> k1_funct_1(X2,X3) = k1_funct_1(X0,X3) ) )
& k4_finseq_1(X2) = k2_finseq_1(k1_nat_1(k3_finseq_1(X0),k3_finseq_1(X1))) ) ) ) ) ),
inference(rectify,[],[f3289]) ).
fof(f6490,plain,
! [X0] :
( ( v1_funct_1(X0)
& v1_relat_1(X0) )
=> ~ ( ! [X2] :
( ( v1_finseq_1(X2)
& v1_funct_1(X2)
& v1_relat_1(X2) )
=> ~ r1_tarski(X0,X2) )
& ? [X1] :
( r1_tarski(k1_relat_1(X0),k2_finseq_1(X1))
& m2_subset_1(X1,k1_numbers,k5_numbers) ) ) ),
inference(rectify,[],[f3268]) ).
fof(f6491,plain,
! [X0] :
( ~ v1_xboole_0(X0)
=> ! [X1] :
( ~ v1_xboole_0(X1)
=> ! [X2] :
( ~ v1_xboole_0(X2)
=> ! [X3] :
( ( m2_relset_1(X3,X0,X1)
& v1_funct_2(X3,X0,X1)
& v1_funct_1(X3) )
=> ! [X4] :
( ( m2_relset_1(X4,X0,X2)
& v1_funct_2(X4,X0,X2)
& v1_funct_1(X4) )
=> ~ ( ! [X7] :
( ( m2_relset_1(X7,X1,X2)
& v1_funct_2(X7,X1,X2)
& v1_funct_1(X7) )
=> k7_funct_2(X0,X1,X2,X3,X7) != X4 )
& ! [X5] :
( m1_subset_1(X5,X0)
=> ! [X6] :
( m1_subset_1(X6,X0)
=> ( k8_funct_2(X0,X1,X3,X5) = k8_funct_2(X0,X1,X3,X6)
=> k8_funct_2(X0,X2,X4,X5) = k8_funct_2(X0,X2,X4,X6) ) ) ) ) ) ) ) ) ),
inference(rectify,[],[f5845]) ).
fof(f6492,plain,
! [X0] :
( ( v1_funct_1(X0)
& v1_relat_1(X0) )
=> ! [X1] :
( ( v1_funct_1(X1)
& v1_relat_1(X1) )
=> ! [X2] :
( ( v1_funct_1(X2)
& v1_relat_1(X2) )
=> ( X2 = k3_funct_4(X0,X1)
<=> ( ! [X8,X9,X10,X11] :
( ( r2_hidden(k4_tarski(X10,X11),k1_relat_1(X1))
& r2_hidden(k4_tarski(X8,X9),k1_relat_1(X0)) )
=> k1_funct_1(X2,k4_tarski(k4_tarski(X8,X10),k4_tarski(X9,X11))) = k4_tarski(k1_funct_1(X0,k4_tarski(X8,X9)),k1_funct_1(X1,k4_tarski(X10,X11))) )
& ! [X3] :
( r2_hidden(X3,k1_relat_1(X2))
<=> ? [X4,X5,X6,X7] :
( r2_hidden(k4_tarski(X6,X7),k1_relat_1(X1))
& r2_hidden(k4_tarski(X4,X5),k1_relat_1(X0))
& X3 = k4_tarski(k4_tarski(X4,X6),k4_tarski(X5,X7)) ) ) ) ) ) ) ),
inference(rectify,[],[f2153]) ).
fof(f6493,plain,
! [X0] :
( ~ v1_xboole_0(X0)
=> ! [X1,X2,X3] :
( ( m2_relset_1(X3,X0,k5_finsub_1(X1))
& v1_funct_2(X3,X0,k5_finsub_1(X1))
& v1_funct_1(X3) )
=> ! [X4] :
( ( m2_relset_1(X4,k5_finsub_1(X1),k5_finsub_1(X2))
& v1_funct_2(X4,k5_finsub_1(X1),k5_finsub_1(X2))
& v1_funct_1(X4) )
=> ( ( ! [X5] :
( m1_subset_1(X5,k5_finsub_1(X1))
=> ! [X6] :
( m1_subset_1(X6,k5_finsub_1(X1))
=> k8_funct_2(k5_finsub_1(X1),k5_finsub_1(X2),X4,k5_setwiseo(X1,X5,X6)) = k5_setwiseo(X2,k8_funct_2(k5_finsub_1(X1),k5_finsub_1(X2),X4,X5),k8_funct_2(k5_finsub_1(X1),k5_finsub_1(X2),X4,X6)) ) )
& k8_funct_2(k5_finsub_1(X1),k5_finsub_1(X2),X4,k1_setwiseo(X1)) = k1_setwiseo(X2) )
=> ! [X7] :
( m1_subset_1(X7,k5_finsub_1(X0))
=> k8_funct_2(k5_finsub_1(X1),k5_finsub_1(X2),X4,k10_setwiseo(X0,X1,X7,X3)) = k10_setwiseo(X0,X2,X7,k7_funct_2(X0,k5_finsub_1(X1),k5_finsub_1(X2),X3,X4)) ) ) ) ) ),
inference(rectify,[],[f2509]) ).
fof(f6494,plain,
! [X0] :
( ~ v1_xboole_0(X0)
=> ! [X1] :
( ~ v1_xboole_0(X1)
=> ! [X2,X3] :
( ( m2_relset_1(X3,k2_zfmisc_1(X1,X1),X1)
& v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
& v1_funct_1(X3) )
=> ( ( v1_setwiseo(X3,X1)
& v3_binop_1(X3,X1)
& v2_binop_1(X3,X1)
& v1_binop_1(X3,X1) )
=> ! [X4] :
( ( m2_relset_1(X4,X0,k5_finsub_1(X2))
& v1_funct_2(X4,X0,k5_finsub_1(X2))
& v1_funct_1(X4) )
=> ! [X5] :
( ( m2_relset_1(X5,k5_finsub_1(X2),X1)
& v1_funct_2(X5,k5_finsub_1(X2),X1)
& v1_funct_1(X5) )
=> ( ( ! [X6] :
( m1_subset_1(X6,k5_finsub_1(X2))
=> ! [X7] :
( m1_subset_1(X7,k5_finsub_1(X2))
=> k8_funct_2(k5_finsub_1(X2),X1,X5,k5_setwiseo(X2,X6,X7)) = k2_binop_1(X1,X1,X1,X3,k8_funct_2(k5_finsub_1(X2),X1,X5,X6),k8_funct_2(k5_finsub_1(X2),X1,X5,X7)) ) )
& k8_funct_2(k5_finsub_1(X2),X1,X5,k1_setwiseo(X2)) = k3_binop_1(X1,X3) )
=> ! [X8] :
( m1_subset_1(X8,k5_finsub_1(X0))
=> k8_funct_2(k5_finsub_1(X2),X1,X5,k10_setwiseo(X0,X2,X8,X4)) = k7_setwiseo(X0,X1,X3,X8,k7_funct_2(X0,k5_finsub_1(X2),X1,X4,X5)) ) ) ) ) ) ) ) ),
inference(rectify,[],[f2501]) ).
fof(f6495,plain,
! [X0,X1] :
( ( v1_funct_1(X1)
& v1_relat_1(X1) )
=> ! [X2] :
( ( v1_funct_1(X2)
& v1_relat_1(X2) )
=> ( X1 = k8_relat_1(X0,X2)
<=> ( ! [X4] :
( r2_hidden(X4,k1_relat_1(X1))
=> k1_funct_1(X2,X4) = k1_funct_1(X1,X4) )
& ! [X3] :
( r2_hidden(X3,k1_relat_1(X1))
<=> ( r2_hidden(k1_funct_1(X2,X3),X0)
& r2_hidden(X3,k1_relat_1(X2)) ) ) ) ) ) ),
inference(rectify,[],[f1020]) ).
fof(f6496,plain,
! [X0] :
~ ( ! [X2] :
( v3_ordinal1(X2)
=> ~ r1_tarski(X0,X2) )
& ! [X1] :
( r2_hidden(X1,X0)
=> v3_ordinal1(X1) ) ),
inference(rectify,[],[f1224]) ).
fof(f6497,plain,
! [X0] :
( v3_ordinal1(X0)
=> ( ~ ( v4_ordinal1(X0)
& ? [X2] :
( k1_ordinal1(X2) = X0
& v3_ordinal1(X2) ) )
& ~ ( ! [X1] :
( v3_ordinal1(X1)
=> X0 != k1_ordinal1(X1) )
& ~ v4_ordinal1(X0) ) ) ),
inference(rectify,[],[f1232]) ).
fof(f6498,plain,
! [X0] :
( ? [X1] :
( ! [X2] :
( v3_ordinal1(X2)
=> ( r2_wellord2(X2,X1)
=> r1_ordinal1(X1,X2) ) )
& X0 = X1
& v3_ordinal1(X1) )
=> v1_card_1(X0) ),
inference(unused_predicate_definition_removal,[],[f3121]) ).
fof(f6499,plain,
! [X0] :
( ? [X1] :
( ! [X2] :
( v3_ordinal1(X2)
=> ~ r2_wellord2(X2,X1) )
& X0 = X1
& v3_ordinal1(X1) )
=> v1_card_1(X0) ),
inference(pure_predicate_removal,[],[f6498]) ).
fof(f6528,plain,
! [X0,X1] :
( ( m1_eqrel_1(X1,u1_struct_0(X0))
& l1_pre_topc(X0)
& v2_pre_topc(X0) )
=> ( l1_pre_topc(k16_borsuk_1(X0,X1))
& v2_pre_topc(k16_borsuk_1(X0,X1)) ) ),
inference(pure_predicate_removal,[],[f5954]) ).
fof(f6529,plain,
! [X0,X1] :
( ( l1_pre_topc(X1)
& v2_pre_topc(X1)
& l1_pre_topc(X0)
& v2_pre_topc(X0) )
=> ( l1_pre_topc(k6_borsuk_1(X0,X1))
& v2_pre_topc(k6_borsuk_1(X0,X1)) ) ),
inference(pure_predicate_removal,[],[f5939]) ).
fof(f6530,plain,
! [X0,X1] :
( ( m1_eqrel_1(X1,u1_struct_0(X0))
& ~ v1_xboole_0(X1)
& l1_pre_topc(X0)
& v2_pre_topc(X0)
& ~ v3_struct_0(X0) )
=> ( v2_pre_topc(k16_borsuk_1(X0,X1))
& ~ v3_struct_0(k16_borsuk_1(X0,X1)) ) ),
inference(pure_predicate_removal,[],[f5823]) ).
fof(f6531,plain,
! [X0] :
( ( l1_pre_topc(X0)
& v2_pre_topc(X0) )
=> ? [X1] :
( v2_pre_topc(X1)
& m1_pre_topc(X1,X0) ) ),
inference(pure_predicate_removal,[],[f4613]) ).
fof(f6532,plain,
! [X0,X1] :
( ( l1_pre_topc(X1)
& v2_pre_topc(X1)
& ~ v3_struct_0(X1)
& l1_pre_topc(X0)
& v2_pre_topc(X0)
& ~ v3_struct_0(X0) )
=> ( v2_pre_topc(k6_borsuk_1(X0,X1))
& ~ v3_struct_0(k6_borsuk_1(X0,X1)) ) ),
inference(pure_predicate_removal,[],[f5821]) ).
fof(f6533,plain,
! [X0] :
( l1_pre_topc(X0)
=> ? [X1] : m1_pre_topc(X1,X0) ),
inference(pure_predicate_removal,[],[f4609]) ).
fof(f6534,plain,
! [X0] :
( ( l3_lattices(X0)
& ~ v3_realset2(X0)
& v17_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ( l1_pre_topc(k11_lopclset(X0))
& v2_pre_topc(k11_lopclset(X0)) ) ),
inference(pure_predicate_removal,[],[f6404]) ).
fof(f6535,plain,
? [X0] :
( v2_pre_topc(X0)
& ~ v3_struct_0(X0)
& l1_pre_topc(X0) ),
inference(pure_predicate_removal,[],[f4606]) ).
fof(f6536,plain,
? [X0] : l1_pre_topc(X0),
inference(pure_predicate_removal,[],[f4605]) ).
fof(f6537,plain,
! [X0] :
( ( l3_lattices(X0)
& ~ v3_realset2(X0)
& v17_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ( v2_pre_topc(k11_lopclset(X0))
& ~ v3_struct_0(k11_lopclset(X0)) ) ),
inference(pure_predicate_removal,[],[f6446]) ).
fof(f6538,plain,
! [X0] :
( ( l1_pre_topc(X0)
& ~ v3_struct_0(X0) )
=> ? [X1] :
( ~ v3_struct_0(X1)
& m1_pre_topc(X1,X0) ) ),
inference(pure_predicate_removal,[],[f4610]) ).
fof(f6543,plain,
? [X0] :
( l3_lattices(X0)
& ~ v3_realset2(X0)
& v17_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0)
& ! [X1] :
( ~ r1_filter_1(X0,k6_lopclset(X1))
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1)
| v3_struct_0(X1) ) ),
inference(ennf_transformation,[],[f6469]) ).
fof(f6544,plain,
? [X0] :
( l3_lattices(X0)
& ~ v3_realset2(X0)
& v17_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0)
& ! [X1] :
( ~ r1_filter_1(X0,k6_lopclset(X1))
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1)
| v3_struct_0(X1) ) ),
inference(flattening,[],[f6543]) ).
fof(f6545,plain,
! [X0] :
( ~ l1_struct_0(X0)
| v3_struct_0(X0)
| ( v3_realset2(X0)
<=> ? [X1] : u1_struct_0(X0) = k1_tarski(X1) ) ),
inference(ennf_transformation,[],[f6180]) ).
fof(f6546,plain,
! [X0] :
( ~ l1_struct_0(X0)
| v3_struct_0(X0)
| ( v3_realset2(X0)
<=> ? [X1] : u1_struct_0(X0) = k1_tarski(X1) ) ),
inference(flattening,[],[f6545]) ).
fof(f6547,plain,
! [X0] :
( ~ l1_struct_0(X0)
| ( v3_realset2(X0)
<=> ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| X1 = X2 ) ) ) ),
inference(ennf_transformation,[],[f5314]) ).
fof(f6548,plain,
! [X0] :
( ~ l3_lattices(X0)
| v3_realset2(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| r1_filter_1(X0,k12_lopclset(X0)) ),
inference(ennf_transformation,[],[f6467]) ).
fof(f6549,plain,
! [X0] :
( ~ l3_lattices(X0)
| v3_realset2(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| r1_filter_1(X0,k12_lopclset(X0)) ),
inference(flattening,[],[f6548]) ).
fof(f6550,plain,
! [X0,X1] :
( ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| r1_filter_1(X0,X0) ),
inference(ennf_transformation,[],[f5799]) ).
fof(f6551,plain,
! [X0,X1] :
( ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| r1_filter_1(X0,X0) ),
inference(flattening,[],[f6550]) ).
fof(f6552,plain,
! [X0,X1] :
( ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ r1_filter_1(X0,X1)
| r1_filter_1(X1,X0) ),
inference(ennf_transformation,[],[f5798]) ).
fof(f6553,plain,
! [X0,X1] :
( ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ r1_filter_1(X0,X1)
| r1_filter_1(X1,X0) ),
inference(flattening,[],[f6552]) ).
fof(f6554,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| r1_filter_1(X0,k8_filter_1(k5_filter_1(X0,k2_filter_0(X0,X1)),k8_filter_0(X0,k2_filter_0(X0,X1)))) ) ),
inference(ennf_transformation,[],[f5787]) ).
fof(f6555,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| r1_filter_1(X0,k8_filter_1(k5_filter_1(X0,k2_filter_0(X0,X1)),k8_filter_0(X0,k2_filter_0(X0,X1)))) ) ),
inference(flattening,[],[f6554]) ).
fof(f6556,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| r1_filter_1(k8_filter_1(X0,X1),k8_filter_1(X1,X0)) ) ),
inference(ennf_transformation,[],[f5775]) ).
fof(f6557,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| r1_filter_1(k8_filter_1(X0,X1),k8_filter_1(X1,X0)) ) ),
inference(flattening,[],[f6556]) ).
fof(f6558,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ! [X2] :
( ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| v3_struct_0(X2)
| ~ r1_filter_1(X1,X2)
| ~ r1_filter_1(X0,X1)
| r1_filter_1(X0,X2) ) ) ),
inference(ennf_transformation,[],[f5759]) ).
fof(f6559,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ! [X2] :
( ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| v3_struct_0(X2)
| ~ r1_filter_1(X1,X2)
| ~ r1_filter_1(X0,X1)
| r1_filter_1(X0,X2) ) ) ),
inference(flattening,[],[f6558]) ).
fof(f6560,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| m1_subset_1(k1_pre_topc(X0),u1_struct_0(k6_lopclset(X0))) ),
inference(ennf_transformation,[],[f6428]) ).
fof(f6561,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| m1_subset_1(k1_pre_topc(X0),u1_struct_0(k6_lopclset(X0))) ),
inference(flattening,[],[f6560]) ).
fof(f6562,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| m1_subset_1(k2_pre_topc(X0),u1_struct_0(k6_lopclset(X0))) ),
inference(ennf_transformation,[],[f6427]) ).
fof(f6563,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| m1_subset_1(k2_pre_topc(X0),u1_struct_0(k6_lopclset(X0))) ),
inference(flattening,[],[f6562]) ).
fof(f6564,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| v17_lattices(k6_lopclset(X0)) ),
inference(ennf_transformation,[],[f6426]) ).
fof(f6565,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| v17_lattices(k6_lopclset(X0)) ),
inference(flattening,[],[f6564]) ).
fof(f6566,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| u1_struct_0(k6_lopclset(X0)) = k1_lopclset(X0) ),
inference(ennf_transformation,[],[f6425]) ).
fof(f6567,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| u1_struct_0(k6_lopclset(X0)) = k1_lopclset(X0) ),
inference(flattening,[],[f6566]) ).
fof(f6568,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(k6_lopclset(X0)))
| ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(k6_lopclset(X0)))
| k4_lattices(k6_lopclset(X0),X1,X2) = k3_xboole_0(X1,X2) ) ) ),
inference(ennf_transformation,[],[f6424]) ).
fof(f6569,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(k6_lopclset(X0)))
| ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(k6_lopclset(X0)))
| k4_lattices(k6_lopclset(X0),X1,X2) = k3_xboole_0(X1,X2) ) ) ),
inference(flattening,[],[f6568]) ).
fof(f6570,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(k6_lopclset(X0)))
| ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(k6_lopclset(X0)))
| k3_lattices(k6_lopclset(X0),X1,X2) = k2_xboole_0(X1,X2) ) ) ),
inference(ennf_transformation,[],[f6423]) ).
fof(f6571,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(k6_lopclset(X0)))
| ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(k6_lopclset(X0)))
| k3_lattices(k6_lopclset(X0),X1,X2) = k2_xboole_0(X1,X2) ) ) ),
inference(flattening,[],[f6570]) ).
fof(f6572,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| ( l3_lattices(k6_lopclset(X0))
& v10_lattices(k6_lopclset(X0))
& ~ v3_struct_0(k6_lopclset(X0)) ) ),
inference(ennf_transformation,[],[f6398]) ).
fof(f6573,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| ( l3_lattices(k6_lopclset(X0))
& v10_lattices(k6_lopclset(X0))
& ~ v3_struct_0(k6_lopclset(X0)) ) ),
inference(flattening,[],[f6572]) ).
fof(f6574,plain,
! [X0] :
( v1_xboole_0(X0)
| ! [X1,X2] :
( ~ m1_subset_1(X2,X0)
| r1_tarski(k2_zfmisc_1(k1_tarski(X2),X1),k2_zfmisc_1(X0,X1)) ) ),
inference(ennf_transformation,[],[f3694]) ).
fof(f6575,plain,
! [X0,X1,X2] :
( r1_tarski(X0,X1)
| r2_hidden(X2,X0)
| ~ r1_tarski(X0,k2_xboole_0(X1,k1_tarski(X2))) ),
inference(ennf_transformation,[],[f2436]) ).
fof(f6576,plain,
! [X0,X1,X2] :
( ~ m2_relset_1(X2,X0,k1_tarski(X1))
| ~ v1_funct_2(X2,X0,k1_tarski(X1))
| ~ v1_funct_1(X2)
| ! [X3] :
( ~ m2_relset_1(X3,X0,k1_tarski(X1))
| ~ v1_funct_2(X3,X0,k1_tarski(X1))
| ~ v1_funct_1(X3)
| X2 = X3 ) ),
inference(ennf_transformation,[],[f1767]) ).
fof(f6577,plain,
! [X0,X1,X2] :
( ~ m2_relset_1(X2,X0,k1_tarski(X1))
| ~ v1_funct_2(X2,X0,k1_tarski(X1))
| ~ v1_funct_1(X2)
| ! [X3] :
( ~ m2_relset_1(X3,X0,k1_tarski(X1))
| ~ v1_funct_2(X3,X0,k1_tarski(X1))
| ~ v1_funct_1(X3)
| X2 = X3 ) ),
inference(flattening,[],[f6576]) ).
fof(f6578,plain,
! [X0,X1,X2,X3] :
( ~ m2_relset_1(X3,X0,k1_tarski(X1))
| ~ v1_funct_2(X3,X0,k1_tarski(X1))
| ~ v1_funct_1(X3)
| ~ r2_hidden(X2,X0)
| k1_funct_1(X3,X2) = X1 ),
inference(ennf_transformation,[],[f1766]) ).
fof(f6579,plain,
! [X0,X1,X2,X3] :
( ~ m2_relset_1(X3,X0,k1_tarski(X1))
| ~ v1_funct_2(X3,X0,k1_tarski(X1))
| ~ v1_funct_1(X3)
| ~ r2_hidden(X2,X0)
| k1_funct_1(X3,X2) = X1 ),
inference(flattening,[],[f6578]) ).
fof(f6580,plain,
! [X0,X1,X2] :
( ~ m2_relset_1(X2,k1_tarski(X0),X1)
| ~ v1_funct_2(X2,k1_tarski(X0),X1)
| ~ v1_funct_1(X2)
| k1_xboole_0 = X1
| k2_relat_1(X2) = k1_tarski(k1_funct_1(X2,X0)) ),
inference(ennf_transformation,[],[f1763]) ).
fof(f6581,plain,
! [X0,X1,X2] :
( ~ m2_relset_1(X2,k1_tarski(X0),X1)
| ~ v1_funct_2(X2,k1_tarski(X0),X1)
| ~ v1_funct_1(X2)
| k1_xboole_0 = X1
| k2_relat_1(X2) = k1_tarski(k1_funct_1(X2,X0)) ),
inference(flattening,[],[f6580]) ).
fof(f6582,plain,
! [X0,X1,X2] :
( ~ m2_relset_1(X2,k1_tarski(X0),X1)
| ~ v1_funct_2(X2,k1_tarski(X0),X1)
| ~ v1_funct_1(X2)
| k1_xboole_0 = X1
| r2_hidden(k1_funct_1(X2,X0),X1) ),
inference(ennf_transformation,[],[f1762]) ).
fof(f6583,plain,
! [X0,X1,X2] :
( ~ m2_relset_1(X2,k1_tarski(X0),X1)
| ~ v1_funct_2(X2,k1_tarski(X0),X1)
| ~ v1_funct_1(X2)
| k1_xboole_0 = X1
| r2_hidden(k1_funct_1(X2,X0),X1) ),
inference(flattening,[],[f6582]) ).
fof(f6584,plain,
! [X0,X1,X2,X3] :
( ~ v1_funct_1(X3)
| ~ v1_relat_1(X3)
| ~ r2_hidden(k1_funct_1(X3,X0),X2)
| ~ r2_hidden(X0,X1)
| k1_tarski(X0) != k1_relat_1(X3)
| ( m2_relset_1(X3,X1,X2)
& v1_funct_1(X3) ) ),
inference(ennf_transformation,[],[f1423]) ).
fof(f6585,plain,
! [X0,X1,X2,X3] :
( ~ v1_funct_1(X3)
| ~ v1_relat_1(X3)
| ~ r2_hidden(k1_funct_1(X3,X0),X2)
| ~ r2_hidden(X0,X1)
| k1_tarski(X0) != k1_relat_1(X3)
| ( m2_relset_1(X3,X1,X2)
& v1_funct_1(X3) ) ),
inference(flattening,[],[f6584]) ).
fof(f6586,plain,
! [X0,X1,X2] :
( ~ m2_relset_1(X2,k1_tarski(X0),X1)
| ~ v1_funct_1(X2)
| r1_tarski(k2_relat_1(X2),k1_tarski(k1_funct_1(X2,X0))) ),
inference(ennf_transformation,[],[f1420]) ).
fof(f6587,plain,
! [X0,X1,X2] :
( ~ m2_relset_1(X2,k1_tarski(X0),X1)
| ~ v1_funct_1(X2)
| r1_tarski(k2_relat_1(X2),k1_tarski(k1_funct_1(X2,X0))) ),
inference(flattening,[],[f6586]) ).
fof(f6588,plain,
! [X0,X1,X2,X3] :
( ~ r2_hidden(X3,X1)
| ~ r2_hidden(X2,X0)
| m2_relset_1(k1_tarski(k4_tarski(X2,X3)),X0,X1) ),
inference(ennf_transformation,[],[f1266]) ).
fof(f6589,plain,
! [X0,X1,X2,X3] :
( ~ r2_hidden(X3,X1)
| ~ r2_hidden(X2,X0)
| m2_relset_1(k1_tarski(k4_tarski(X2,X3)),X0,X1) ),
inference(flattening,[],[f6588]) ).
fof(f6590,plain,
! [X0,X1] :
( ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ! [X2] :
( ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| k1_tarski(X0) != k2_relat_1(X2)
| k1_tarski(X0) != k2_relat_1(X1)
| k1_relat_1(X1) != k1_relat_1(X2)
| X1 = X2 ) ),
inference(ennf_transformation,[],[f948]) ).
fof(f6591,plain,
! [X0,X1] :
( ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ! [X2] :
( ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| k1_tarski(X0) != k2_relat_1(X2)
| k1_tarski(X0) != k2_relat_1(X1)
| k1_relat_1(X1) != k1_relat_1(X2)
| X1 = X2 ) ),
inference(flattening,[],[f6590]) ).
fof(f6592,plain,
! [X0] :
( k1_xboole_0 = X0
| ! [X1] :
? [X2] :
( k2_relat_1(X2) = k1_tarski(X1)
& k1_relat_1(X2) = X0
& v1_funct_1(X2)
& v1_relat_1(X2) ) ),
inference(ennf_transformation,[],[f946]) ).
fof(f6593,plain,
! [X0,X1] :
( ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| k1_tarski(X0) != k1_relat_1(X1)
| k2_relat_1(X1) = k1_tarski(k1_funct_1(X1,X0)) ),
inference(ennf_transformation,[],[f945]) ).
fof(f6594,plain,
! [X0,X1] :
( ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| k1_tarski(X0) != k1_relat_1(X1)
| k2_relat_1(X1) = k1_tarski(k1_funct_1(X1,X0)) ),
inference(flattening,[],[f6593]) ).
fof(f6595,plain,
! [X0,X1,X2] :
( ~ v1_relat_1(X2)
| k1_tarski(k4_tarski(X0,X1)) != X2
| ( k2_relat_1(X2) = k1_tarski(X1)
& k1_relat_1(X2) = k1_tarski(X0) ) ),
inference(ennf_transformation,[],[f724]) ).
fof(f6596,plain,
! [X0,X1,X2] :
( ~ v1_relat_1(X2)
| k1_tarski(k4_tarski(X0,X1)) != X2
| ( k2_relat_1(X2) = k1_tarski(X1)
& k1_relat_1(X2) = k1_tarski(X0) ) ),
inference(flattening,[],[f6595]) ).
fof(f6597,plain,
! [X0,X1] :
( ~ r2_hidden(X0,X1)
| m1_subset_1(k1_tarski(X0),k1_zfmisc_1(X1)) ),
inference(ennf_transformation,[],[f546]) ).
fof(f6598,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,X0)
| k1_xboole_0 = X0
| m1_subset_1(k1_tarski(X1),k1_zfmisc_1(X0)) ),
inference(ennf_transformation,[],[f538]) ).
fof(f6599,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,X0)
| k1_xboole_0 = X0
| m1_subset_1(k1_tarski(X1),k1_zfmisc_1(X0)) ),
inference(flattening,[],[f6598]) ).
fof(f6600,plain,
! [X0,X1] :
( k1_xboole_0 = X0
| ( k2_zfmisc_1(X0,k1_tarski(X1)) != k1_xboole_0
& k2_zfmisc_1(k1_tarski(X1),X0) != k1_xboole_0 ) ),
inference(ennf_transformation,[],[f455]) ).
fof(f6601,plain,
! [X0,X1] :
( ~ r2_hidden(X0,X1)
| k2_xboole_0(k1_tarski(X0),X1) = X1 ),
inference(ennf_transformation,[],[f371]) ).
fof(f6603,plain,
! [X0,X1,X2] :
( k1_xboole_0 = X2
| k1_xboole_0 = X1
| X1 = X2
| k1_tarski(X0) != k2_xboole_0(X1,X2) ),
inference(ennf_transformation,[],[f369]) ).
fof(f6604,plain,
! [X0,X1,X2] :
( ( X2 = k1_xboole_0
& X1 = k1_tarski(X0) )
| ( X2 = k1_tarski(X0)
& X1 = k1_xboole_0 )
| ( X2 = k1_tarski(X0)
& X1 = k1_tarski(X0) )
| k1_tarski(X0) != k2_xboole_0(X1,X2) ),
inference(ennf_transformation,[],[f368]) ).
fof(f6605,plain,
! [X0,X1] :
( ? [X2] :
( X2 != X1
& r2_hidden(X2,X0) )
| k1_xboole_0 = X0
| k1_tarski(X1) = X0 ),
inference(ennf_transformation,[],[f366]) ).
fof(f6607,plain,
! [X0,X1] :
( k1_tarski(X0) != k2_xboole_0(k1_tarski(X0),k1_tarski(X1))
| X0 = X1 ),
inference(ennf_transformation,[],[f338]) ).
fof(f6609,plain,
! [X0] :
( ~ l1_group_1(X0)
| l1_struct_0(X0) ),
inference(ennf_transformation,[],[f5108]) ).
fof(f6610,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| l1_struct_0(X0) ),
inference(ennf_transformation,[],[f4687]) ).
fof(f6611,plain,
! [X0] :
( ~ l1_struct_0(X0)
| ( v3_struct_0(X0)
<=> v1_xboole_0(u1_struct_0(X0)) ) ),
inference(ennf_transformation,[],[f4261]) ).
fof(f6612,plain,
! [X0] :
( ~ l1_struct_0(X0)
| v3_struct_0(X0)
| ? [X1] :
( ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) ) ),
inference(ennf_transformation,[],[f4260]) ).
fof(f6613,plain,
! [X0] :
( ~ l1_struct_0(X0)
| v3_struct_0(X0)
| ? [X1] :
( ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) ) ),
inference(flattening,[],[f6612]) ).
fof(f6614,plain,
! [X0] :
( ~ l1_struct_0(X0)
| v3_struct_0(X0)
| ~ v1_xboole_0(u1_struct_0(X0)) ),
inference(ennf_transformation,[],[f4259]) ).
fof(f6615,plain,
! [X0] :
( ~ l1_struct_0(X0)
| v3_struct_0(X0)
| ~ v1_xboole_0(u1_struct_0(X0)) ),
inference(flattening,[],[f6614]) ).
fof(f6616,plain,
! [X0] :
( ~ l3_lattices(X0)
| v3_realset2(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| v3_lattice4(k13_lopclset(X0),X0,k12_lopclset(X0)) ),
inference(ennf_transformation,[],[f6466]) ).
fof(f6617,plain,
! [X0] :
( ~ l3_lattices(X0)
| v3_realset2(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| v3_lattice4(k13_lopclset(X0),X0,k12_lopclset(X0)) ),
inference(flattening,[],[f6616]) ).
fof(f6618,plain,
! [X0] :
( ~ l3_lattices(X0)
| v3_realset2(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| k2_relat_1(k13_lopclset(X0)) = u1_struct_0(k12_lopclset(X0)) ),
inference(ennf_transformation,[],[f6465]) ).
fof(f6619,plain,
! [X0] :
( ~ l3_lattices(X0)
| v3_realset2(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| k2_relat_1(k13_lopclset(X0)) = u1_struct_0(k12_lopclset(X0)) ),
inference(flattening,[],[f6618]) ).
fof(f6620,plain,
! [X0] :
( ~ l3_lattices(X0)
| v3_realset2(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| k12_lopclset(X0) = k6_lopclset(k11_lopclset(X0)) ),
inference(ennf_transformation,[],[f6449]) ).
fof(f6621,plain,
! [X0] :
( ~ l3_lattices(X0)
| v3_realset2(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| k12_lopclset(X0) = k6_lopclset(k11_lopclset(X0)) ),
inference(flattening,[],[f6620]) ).
fof(f6622,plain,
! [X0] :
( ~ l3_lattices(X0)
| v3_realset2(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| m1_lattice4(k13_lopclset(X0),X0,k12_lopclset(X0)) ),
inference(ennf_transformation,[],[f6406]) ).
fof(f6623,plain,
! [X0] :
( ~ l3_lattices(X0)
| v3_realset2(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| m1_lattice4(k13_lopclset(X0),X0,k12_lopclset(X0)) ),
inference(flattening,[],[f6622]) ).
fof(f6624,plain,
! [X0] :
( ~ l3_lattices(X0)
| v3_realset2(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ( l3_lattices(k12_lopclset(X0))
& v10_lattices(k12_lopclset(X0))
& ~ v3_struct_0(k12_lopclset(X0)) ) ),
inference(ennf_transformation,[],[f6405]) ).
fof(f6625,plain,
! [X0] :
( ~ l3_lattices(X0)
| v3_realset2(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ( l3_lattices(k12_lopclset(X0))
& v10_lattices(k12_lopclset(X0))
& ~ v3_struct_0(k12_lopclset(X0)) ) ),
inference(flattening,[],[f6624]) ).
fof(f6626,plain,
! [X0,X1] :
( ~ m1_filter_0(X1,X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ( l3_lattices(k8_filter_0(X0,X1))
& v10_lattices(k8_filter_0(X0,X1))
& ~ v3_struct_0(k8_filter_0(X0,X1)) ) ),
inference(ennf_transformation,[],[f5594]) ).
fof(f6627,plain,
! [X0,X1] :
( ~ m1_filter_0(X1,X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ( l3_lattices(k8_filter_0(X0,X1))
& v10_lattices(k8_filter_0(X0,X1))
& ~ v3_struct_0(k8_filter_0(X0,X1)) ) ),
inference(flattening,[],[f6626]) ).
fof(f6632,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ v14_lattices(X0)
| k6_lattices(k8_filter_0(X0,k2_filter_0(X0,X1))) = k6_lattices(X0) ) ),
inference(ennf_transformation,[],[f5561]) ).
fof(f6633,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ v14_lattices(X0)
| k6_lattices(k8_filter_0(X0,k2_filter_0(X0,X1))) = k6_lattices(X0) ) ),
inference(flattening,[],[f6632]) ).
fof(f6634,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| k5_lattices(k8_filter_0(X0,k2_filter_0(X0,X1))) = X1 ) ),
inference(ennf_transformation,[],[f5560]) ).
fof(f6635,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| k5_lattices(k8_filter_0(X0,k2_filter_0(X0,X1))) = X1 ) ),
inference(flattening,[],[f6634]) ).
fof(f6636,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| v13_lattices(k8_filter_0(X0,k2_filter_0(X0,X1))) ) ),
inference(ennf_transformation,[],[f5559]) ).
fof(f6637,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| v13_lattices(k8_filter_0(X0,k2_filter_0(X0,X1))) ) ),
inference(flattening,[],[f6636]) ).
fof(f6640,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_filter_0(X1,X0)
| ~ v11_lattices(X0)
| v11_lattices(k8_filter_0(X0,X1)) ) ),
inference(ennf_transformation,[],[f5557]) ).
fof(f6641,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_filter_0(X1,X0)
| ~ v11_lattices(X0)
| v11_lattices(k8_filter_0(X0,X1)) ) ),
inference(flattening,[],[f6640]) ).
fof(f6642,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_filter_0(X1,X0)
| ~ v14_lattices(X0)
| v14_lattices(k8_filter_0(X0,X1)) ) ),
inference(ennf_transformation,[],[f5555]) ).
fof(f6643,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_filter_0(X1,X0)
| ~ v14_lattices(X0)
| v14_lattices(k8_filter_0(X0,X1)) ) ),
inference(flattening,[],[f6642]) ).
fof(f6644,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| ! [X3] :
( ~ m1_filter_0(X3,X0)
| ! [X4] :
( ~ m1_subset_1(X4,u1_struct_0(k8_filter_0(X0,X3)))
| ! [X5] :
( ~ m1_subset_1(X5,u1_struct_0(k8_filter_0(X0,X3)))
| X2 != X5
| X1 != X4
| ( r3_lattices(X0,X1,X2)
<=> r3_lattices(k8_filter_0(X0,X3),X4,X5) ) ) ) ) ) ) ),
inference(ennf_transformation,[],[f5554]) ).
fof(f6645,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| ! [X3] :
( ~ m1_filter_0(X3,X0)
| ! [X4] :
( ~ m1_subset_1(X4,u1_struct_0(k8_filter_0(X0,X3)))
| ! [X5] :
( ~ m1_subset_1(X5,u1_struct_0(k8_filter_0(X0,X3)))
| X2 != X5
| X1 != X4
| ( r3_lattices(X0,X1,X2)
<=> r3_lattices(k8_filter_0(X0,X3),X4,X5) ) ) ) ) ) ) ),
inference(flattening,[],[f6644]) ).
fof(f6646,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| ! [X3] :
( ~ m1_filter_0(X3,X0)
| ! [X4] :
( ~ m1_subset_1(X4,u1_struct_0(k8_filter_0(X0,X3)))
| ! [X5] :
( ~ m1_subset_1(X5,u1_struct_0(k8_filter_0(X0,X3)))
| X2 != X5
| X1 != X4
| ( k4_lattices(X0,X1,X2) = k4_lattices(k8_filter_0(X0,X3),X4,X5)
& k3_lattices(X0,X1,X2) = k3_lattices(k8_filter_0(X0,X3),X4,X5) ) ) ) ) ) ) ),
inference(ennf_transformation,[],[f5553]) ).
fof(f6647,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| ! [X3] :
( ~ m1_filter_0(X3,X0)
| ! [X4] :
( ~ m1_subset_1(X4,u1_struct_0(k8_filter_0(X0,X3)))
| ! [X5] :
( ~ m1_subset_1(X5,u1_struct_0(k8_filter_0(X0,X3)))
| X2 != X5
| X1 != X4
| ( k4_lattices(X0,X1,X2) = k4_lattices(k8_filter_0(X0,X3),X4,X5)
& k3_lattices(X0,X1,X2) = k3_lattices(k8_filter_0(X0,X3),X4,X5) ) ) ) ) ) ) ),
inference(flattening,[],[f6646]) ).
fof(f6648,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_filter_0(X1,X0)
| ( u1_lattices(k8_filter_0(X0,X1)) = k1_realset1(u1_lattices(X0),X1)
& u2_lattices(k8_filter_0(X0,X1)) = k1_realset1(u2_lattices(X0),X1)
& u1_struct_0(k8_filter_0(X0,X1)) = X1 ) ) ),
inference(ennf_transformation,[],[f5552]) ).
fof(f6649,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_filter_0(X1,X0)
| ( u1_lattices(k8_filter_0(X0,X1)) = k1_realset1(u1_lattices(X0),X1)
& u2_lattices(k8_filter_0(X0,X1)) = k1_realset1(u2_lattices(X0),X1)
& u1_struct_0(k8_filter_0(X0,X1)) = X1 ) ) ),
inference(flattening,[],[f6648]) ).
fof(f6650,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_filter_0(X1,X0)
| ! [X2] :
( ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| v3_struct_0(X2)
| ( X2 = k8_filter_0(X0,X1)
<=> ? [X3] :
( ? [X4] :
( X2 = g3_lattices(X1,X3,X4)
& X4 = k1_realset1(u1_lattices(X0),X1)
& X3 = k1_realset1(u2_lattices(X0),X1)
& m2_relset_1(X4,k2_zfmisc_1(X1,X1),X1)
& v1_funct_2(X4,k2_zfmisc_1(X1,X1),X1)
& v1_funct_1(X4) )
& m2_relset_1(X3,k2_zfmisc_1(X1,X1),X1)
& v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
& v1_funct_1(X3) ) ) ) ) ),
inference(ennf_transformation,[],[f5549]) ).
fof(f6651,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_filter_0(X1,X0)
| ! [X2] :
( ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| v3_struct_0(X2)
| ( X2 = k8_filter_0(X0,X1)
<=> ? [X3] :
( ? [X4] :
( X2 = g3_lattices(X1,X3,X4)
& X4 = k1_realset1(u1_lattices(X0),X1)
& X3 = k1_realset1(u2_lattices(X0),X1)
& m2_relset_1(X4,k2_zfmisc_1(X1,X1),X1)
& v1_funct_2(X4,k2_zfmisc_1(X1,X1),X1)
& v1_funct_1(X4) )
& m2_relset_1(X3,k2_zfmisc_1(X1,X1),X1)
& v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
& v1_funct_1(X3) ) ) ) ) ),
inference(flattening,[],[f6650]) ).
fof(f6652,plain,
! [X0,X1] :
( ~ m1_filter_0(X1,X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ( v10_lattices(k8_filter_0(X0,X1))
& v9_lattices(k8_filter_0(X0,X1))
& v8_lattices(k8_filter_0(X0,X1))
& v7_lattices(k8_filter_0(X0,X1))
& v6_lattices(k8_filter_0(X0,X1))
& v5_lattices(k8_filter_0(X0,X1))
& v4_lattices(k8_filter_0(X0,X1))
& v3_lattices(k8_filter_0(X0,X1))
& ~ v3_struct_0(k8_filter_0(X0,X1)) ) ),
inference(ennf_transformation,[],[f5482]) ).
fof(f6653,plain,
! [X0,X1] :
( ~ m1_filter_0(X1,X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ( v10_lattices(k8_filter_0(X0,X1))
& v9_lattices(k8_filter_0(X0,X1))
& v8_lattices(k8_filter_0(X0,X1))
& v7_lattices(k8_filter_0(X0,X1))
& v6_lattices(k8_filter_0(X0,X1))
& v5_lattices(k8_filter_0(X0,X1))
& v4_lattices(k8_filter_0(X0,X1))
& v3_lattices(k8_filter_0(X0,X1))
& ~ v3_struct_0(k8_filter_0(X0,X1)) ) ),
inference(flattening,[],[f6652]) ).
fof(f6654,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| k2_filter_0(X0,X2) != k2_filter_0(X0,X1)
| X1 = X2 ) ) ),
inference(ennf_transformation,[],[f5719]) ).
fof(f6655,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| k2_filter_0(X0,X2) != k2_filter_0(X0,X1)
| X1 = X2 ) ) ),
inference(flattening,[],[f6654]) ).
fof(f6656,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| m1_filter_0(k2_filter_0(X0,X1),X0) ),
inference(ennf_transformation,[],[f5586]) ).
fof(f6657,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| m1_filter_0(k2_filter_0(X0,X1),X0) ),
inference(flattening,[],[f6656]) ).
fof(f6658,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ! [X2] :
( ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
| v1_xboole_0(X2)
| ~ r2_hidden(X1,X2)
| r1_tarski(k2_filter_0(X0,X1),k3_filter_0(X0,X2)) ) ) ),
inference(ennf_transformation,[],[f5515]) ).
fof(f6659,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ! [X2] :
( ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
| v1_xboole_0(X2)
| ~ r2_hidden(X1,X2)
| r1_tarski(k2_filter_0(X0,X1),k3_filter_0(X0,X2)) ) ) ),
inference(flattening,[],[f6658]) ).
fof(f6660,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| u1_struct_0(X0) != k2_filter_0(X0,X1)
| ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| k4_lattices(X0,X1,X2) = X1 ) ) ),
inference(ennf_transformation,[],[f5508]) ).
fof(f6661,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| u1_struct_0(X0) != k2_filter_0(X0,X1)
| ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| k4_lattices(X0,X1,X2) = X1 ) ) ),
inference(flattening,[],[f6660]) ).
fof(f6662,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| ( r2_hidden(k3_lattices(X0,X2,X1),k2_filter_0(X0,X1))
& r2_hidden(k3_lattices(X0,X1,X2),k2_filter_0(X0,X1))
& r2_hidden(X1,k2_filter_0(X0,X1)) ) ) ) ),
inference(ennf_transformation,[],[f5503]) ).
fof(f6663,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| ( r2_hidden(k3_lattices(X0,X2,X1),k2_filter_0(X0,X1))
& r2_hidden(k3_lattices(X0,X1,X2),k2_filter_0(X0,X1))
& r2_hidden(X1,k2_filter_0(X0,X1)) ) ) ) ),
inference(flattening,[],[f6662]) ).
fof(f6664,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| ( r2_hidden(X1,k2_filter_0(X0,X2))
<=> r3_lattices(X0,X2,X1) ) ) ) ),
inference(ennf_transformation,[],[f5502]) ).
fof(f6665,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| ( r2_hidden(X1,k2_filter_0(X0,X2))
<=> r3_lattices(X0,X2,X1) ) ) ) ),
inference(flattening,[],[f6664]) ).
fof(f6666,plain,
! [X0,X1] :
( ~ l3_lattices(X1)
| v3_struct_0(X1)
| ~ l3_lattices(X0)
| v3_struct_0(X0)
| ( l3_lattices(k8_filter_1(X0,X1))
& v3_lattices(k8_filter_1(X0,X1)) ) ),
inference(ennf_transformation,[],[f5812]) ).
fof(f6667,plain,
! [X0,X1] :
( ~ l3_lattices(X1)
| v3_struct_0(X1)
| ~ l3_lattices(X0)
| v3_struct_0(X0)
| ( l3_lattices(k8_filter_1(X0,X1))
& v3_lattices(k8_filter_1(X0,X1)) ) ),
inference(flattening,[],[f6666]) ).
fof(f6668,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| k1_lattice2(k8_filter_1(X0,X1)) = k8_filter_1(k1_lattice2(X0),k1_lattice2(X1)) ) ),
inference(ennf_transformation,[],[f5774]) ).
fof(f6669,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| k1_lattice2(k8_filter_1(X0,X1)) = k8_filter_1(k1_lattice2(X0),k1_lattice2(X1)) ) ),
inference(flattening,[],[f6668]) ).
fof(f6670,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ( ( v3_filter_0(X1)
& v3_filter_0(X0) )
<=> v3_filter_0(k8_filter_1(X0,X1)) ) ) ),
inference(ennf_transformation,[],[f5773]) ).
fof(f6671,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ( ( v3_filter_0(X1)
& v3_filter_0(X0) )
<=> v3_filter_0(k8_filter_1(X0,X1)) ) ) ),
inference(flattening,[],[f6670]) ).
fof(f6672,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ( ( l3_lattices(X1)
& v17_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1)
& l3_lattices(X0)
& v17_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
<=> ( l3_lattices(k8_filter_1(X0,X1))
& v17_lattices(k8_filter_1(X0,X1))
& v10_lattices(k8_filter_1(X0,X1))
& ~ v3_struct_0(k8_filter_1(X0,X1)) ) ) ) ),
inference(ennf_transformation,[],[f5772]) ).
fof(f6673,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ( ( l3_lattices(X1)
& v17_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1)
& l3_lattices(X0)
& v17_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
<=> ( l3_lattices(k8_filter_1(X0,X1))
& v17_lattices(k8_filter_1(X0,X1))
& v10_lattices(k8_filter_1(X0,X1))
& ~ v3_struct_0(k8_filter_1(X0,X1)) ) ) ) ),
inference(flattening,[],[f6672]) ).
fof(f6674,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ( ( v15_lattices(X1)
& v15_lattices(X0) )
<=> v15_lattices(k8_filter_1(X0,X1)) ) ) ),
inference(ennf_transformation,[],[f5767]) ).
fof(f6675,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ( ( v15_lattices(X1)
& v15_lattices(X0) )
<=> v15_lattices(k8_filter_1(X0,X1)) ) ) ),
inference(flattening,[],[f6674]) ).
fof(f6676,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ( ( v14_lattices(X1)
& v14_lattices(X0) )
<=> v14_lattices(k8_filter_1(X0,X1)) ) ) ),
inference(ennf_transformation,[],[f5766]) ).
fof(f6677,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ( ( v14_lattices(X1)
& v14_lattices(X0) )
<=> v14_lattices(k8_filter_1(X0,X1)) ) ) ),
inference(flattening,[],[f6676]) ).
fof(f6678,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ( ( v13_lattices(X1)
& v13_lattices(X0) )
<=> v13_lattices(k8_filter_1(X0,X1)) ) ) ),
inference(ennf_transformation,[],[f5765]) ).
fof(f6679,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ( ( v13_lattices(X1)
& v13_lattices(X0) )
<=> v13_lattices(k8_filter_1(X0,X1)) ) ) ),
inference(flattening,[],[f6678]) ).
fof(f6680,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ( ( l3_lattices(X1)
& v11_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1)
& l3_lattices(X0)
& v11_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
<=> ( l3_lattices(k8_filter_1(X0,X1))
& v11_lattices(k8_filter_1(X0,X1))
& v10_lattices(k8_filter_1(X0,X1))
& ~ v3_struct_0(k8_filter_1(X0,X1)) ) ) ) ),
inference(ennf_transformation,[],[f5764]) ).
fof(f6681,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ( ( l3_lattices(X1)
& v11_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1)
& l3_lattices(X0)
& v11_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
<=> ( l3_lattices(k8_filter_1(X0,X1))
& v11_lattices(k8_filter_1(X0,X1))
& v10_lattices(k8_filter_1(X0,X1))
& ~ v3_struct_0(k8_filter_1(X0,X1)) ) ) ) ),
inference(flattening,[],[f6680]) ).
fof(f6682,plain,
! [X0] :
( ~ l3_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ l3_lattices(X1)
| v3_struct_0(X1)
| ~ l3_lattices(k8_filter_1(X0,X1))
| ~ v10_lattices(k8_filter_1(X0,X1))
| v3_struct_0(k8_filter_1(X0,X1))
| ( l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1)
& l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) ) ) ),
inference(ennf_transformation,[],[f5760]) ).
fof(f6683,plain,
! [X0] :
( ~ l3_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ l3_lattices(X1)
| v3_struct_0(X1)
| ~ l3_lattices(k8_filter_1(X0,X1))
| ~ v10_lattices(k8_filter_1(X0,X1))
| v3_struct_0(k8_filter_1(X0,X1))
| ( l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1)
& l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) ) ) ),
inference(flattening,[],[f6682]) ).
fof(f6684,plain,
! [X0,X1] :
( ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ( v10_lattices(k8_filter_1(X0,X1))
& v9_lattices(k8_filter_1(X0,X1))
& v8_lattices(k8_filter_1(X0,X1))
& v7_lattices(k8_filter_1(X0,X1))
& v6_lattices(k8_filter_1(X0,X1))
& v5_lattices(k8_filter_1(X0,X1))
& v4_lattices(k8_filter_1(X0,X1))
& v3_lattices(k8_filter_1(X0,X1))
& ~ v3_struct_0(k8_filter_1(X0,X1)) ) ),
inference(ennf_transformation,[],[f5717]) ).
fof(f6685,plain,
! [X0,X1] :
( ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ( v10_lattices(k8_filter_1(X0,X1))
& v9_lattices(k8_filter_1(X0,X1))
& v8_lattices(k8_filter_1(X0,X1))
& v7_lattices(k8_filter_1(X0,X1))
& v6_lattices(k8_filter_1(X0,X1))
& v5_lattices(k8_filter_1(X0,X1))
& v4_lattices(k8_filter_1(X0,X1))
& v3_lattices(k8_filter_1(X0,X1))
& ~ v3_struct_0(k8_filter_1(X0,X1)) ) ),
inference(flattening,[],[f6684]) ).
fof(f6686,plain,
! [X0,X1] :
( ~ l3_lattices(X1)
| v3_struct_0(X1)
| ~ l3_lattices(X0)
| v3_struct_0(X0)
| ( v3_lattices(k8_filter_1(X0,X1))
& ~ v3_struct_0(k8_filter_1(X0,X1)) ) ),
inference(ennf_transformation,[],[f5716]) ).
fof(f6687,plain,
! [X0,X1] :
( ~ l3_lattices(X1)
| v3_struct_0(X1)
| ~ l3_lattices(X0)
| v3_struct_0(X0)
| ( v3_lattices(k8_filter_1(X0,X1))
& ~ v3_struct_0(k8_filter_1(X0,X1)) ) ),
inference(flattening,[],[f6686]) ).
fof(f6688,plain,
! [X0,X1] :
( ~ m1_filter_0(X1,X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ( l3_lattices(k5_filter_1(X0,X1))
& v10_lattices(k5_filter_1(X0,X1))
& v3_lattices(k5_filter_1(X0,X1))
& ~ v3_struct_0(k5_filter_1(X0,X1)) ) ),
inference(ennf_transformation,[],[f5808]) ).
fof(f6689,plain,
! [X0,X1] :
( ~ m1_filter_0(X1,X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ( l3_lattices(k5_filter_1(X0,X1))
& v10_lattices(k5_filter_1(X0,X1))
& v3_lattices(k5_filter_1(X0,X1))
& ~ v3_struct_0(k5_filter_1(X0,X1)) ) ),
inference(flattening,[],[f6688]) ).
fof(f6690,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_filter_0(X1,X0)
| ( l3_lattices(k5_filter_1(X0,X1))
& v17_lattices(k5_filter_1(X0,X1))
& v10_lattices(k5_filter_1(X0,X1))
& ~ v3_struct_0(k5_filter_1(X0,X1)) ) ) ),
inference(ennf_transformation,[],[f5744]) ).
fof(f6691,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_filter_0(X1,X0)
| ( l3_lattices(k5_filter_1(X0,X1))
& v17_lattices(k5_filter_1(X0,X1))
& v10_lattices(k5_filter_1(X0,X1))
& ~ v3_struct_0(k5_filter_1(X0,X1)) ) ) ),
inference(flattening,[],[f6690]) ).
fof(f6692,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v3_filter_0(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_filter_0(X1,X0)
| v3_filter_0(k5_filter_1(X0,X1)) ) ),
inference(ennf_transformation,[],[f5743]) ).
fof(f6693,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v3_filter_0(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_filter_0(X1,X0)
| v3_filter_0(k5_filter_1(X0,X1)) ) ),
inference(flattening,[],[f6692]) ).
fof(f6696,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| m2_subset_1(k1_pre_topc(X0),k1_zfmisc_1(u1_struct_0(X0)),k1_lopclset(X0)) ),
inference(ennf_transformation,[],[f6418]) ).
fof(f6697,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| m2_subset_1(k1_pre_topc(X0),k1_zfmisc_1(u1_struct_0(X0)),k1_lopclset(X0)) ),
inference(flattening,[],[f6696]) ).
fof(f6700,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| k1_tops_1(X0,k1_pre_topc(X0)) = k1_pre_topc(X0) ),
inference(ennf_transformation,[],[f4772]) ).
fof(f6703,plain,
! [X0] :
( ~ l1_struct_0(X0)
| k3_subset_1(u1_struct_0(X0),k2_pre_topc(X0)) = k1_pre_topc(X0) ),
inference(ennf_transformation,[],[f4732]) ).
fof(f6704,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ( v5_membered(k1_pre_topc(X0))
& v4_membered(k1_pre_topc(X0))
& v3_membered(k1_pre_topc(X0))
& v2_membered(k1_pre_topc(X0))
& v1_membered(k1_pre_topc(X0))
& v4_pre_topc(k1_pre_topc(X0),X0)
& v3_pre_topc(k1_pre_topc(X0),X0)
& v1_xboole_0(k1_pre_topc(X0)) ) ),
inference(ennf_transformation,[],[f4708]) ).
fof(f6705,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ( v5_membered(k1_pre_topc(X0))
& v4_membered(k1_pre_topc(X0))
& v3_membered(k1_pre_topc(X0))
& v2_membered(k1_pre_topc(X0))
& v1_membered(k1_pre_topc(X0))
& v4_pre_topc(k1_pre_topc(X0),X0)
& v3_pre_topc(k1_pre_topc(X0),X0)
& v1_xboole_0(k1_pre_topc(X0)) ) ),
inference(flattening,[],[f6704]) ).
fof(f6706,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ( v5_membered(k1_tops_1(X0,k1_pre_topc(X0)))
& v4_membered(k1_tops_1(X0,k1_pre_topc(X0)))
& v3_membered(k1_tops_1(X0,k1_pre_topc(X0)))
& v2_membered(k1_tops_1(X0,k1_pre_topc(X0)))
& v1_membered(k1_tops_1(X0,k1_pre_topc(X0)))
& v1_xboole_0(k1_tops_1(X0,k1_pre_topc(X0))) ) ),
inference(ennf_transformation,[],[f4706]) ).
fof(f6707,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ( v5_membered(k1_pre_topc(X0))
& v4_membered(k1_pre_topc(X0))
& v3_membered(k1_pre_topc(X0))
& v2_membered(k1_pre_topc(X0))
& v1_membered(k1_pre_topc(X0))
& v4_pre_topc(k1_pre_topc(X0),X0)
& v1_xboole_0(k1_pre_topc(X0)) ) ),
inference(ennf_transformation,[],[f4701]) ).
fof(f6708,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ( v5_membered(k1_pre_topc(X0))
& v4_membered(k1_pre_topc(X0))
& v3_membered(k1_pre_topc(X0))
& v2_membered(k1_pre_topc(X0))
& v1_membered(k1_pre_topc(X0))
& v4_pre_topc(k1_pre_topc(X0),X0)
& v1_xboole_0(k1_pre_topc(X0)) ) ),
inference(flattening,[],[f6707]) ).
fof(f6709,plain,
! [X0] :
( ~ l1_struct_0(X0)
| m1_subset_1(k1_pre_topc(X0),k1_zfmisc_1(u1_struct_0(X0))) ),
inference(ennf_transformation,[],[f4690]) ).
fof(f6710,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ! [X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ? [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
& r2_hidden(X2,X1) )
| k1_pre_topc(X0) = X1 ) ),
inference(ennf_transformation,[],[f4670]) ).
fof(f6711,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ! [X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ? [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
& r2_hidden(X2,X1) )
| k1_pre_topc(X0) = X1 ) ),
inference(flattening,[],[f6710]) ).
fof(f6712,plain,
! [X0] :
( ~ l1_struct_0(X0)
| k2_pre_topc(X0) = k3_subset_1(u1_struct_0(X0),k1_pre_topc(X0)) ),
inference(ennf_transformation,[],[f4647]) ).
fof(f6713,plain,
! [X0] :
( ~ l1_struct_0(X0)
| k1_pre_topc(X0) = k1_xboole_0 ),
inference(ennf_transformation,[],[f4624]) ).
fof(f6714,plain,
! [X0] :
( ~ l1_struct_0(X0)
| ( v5_membered(k1_pre_topc(X0))
& v4_membered(k1_pre_topc(X0))
& v3_membered(k1_pre_topc(X0))
& v2_membered(k1_pre_topc(X0))
& v1_membered(k1_pre_topc(X0))
& v1_xboole_0(k1_pre_topc(X0)) ) ),
inference(ennf_transformation,[],[f4607]) ).
fof(f6715,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| m2_subset_1(k2_pre_topc(X0),k1_zfmisc_1(u1_struct_0(X0)),k1_lopclset(X0)) ),
inference(ennf_transformation,[],[f6419]) ).
fof(f6716,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| m2_subset_1(k2_pre_topc(X0),k1_zfmisc_1(u1_struct_0(X0)),k1_lopclset(X0)) ),
inference(flattening,[],[f6715]) ).
fof(f6719,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| k1_tops_1(X0,k2_pre_topc(X0)) = k2_pre_topc(X0) ),
inference(ennf_transformation,[],[f4768]) ).
fof(f6720,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| k1_tops_1(X0,k2_pre_topc(X0)) = k2_pre_topc(X0) ),
inference(flattening,[],[f6719]) ).
fof(f6721,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| k6_pre_topc(X0,k2_pre_topc(X0)) = k2_pre_topc(X0) ),
inference(ennf_transformation,[],[f4751]) ).
fof(f6722,plain,
! [X0] :
( ~ l1_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| k4_subset_1(u1_struct_0(X0),X1,k2_pre_topc(X0)) = k2_pre_topc(X0) ) ),
inference(ennf_transformation,[],[f4726]) ).
fof(f6723,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ( v4_pre_topc(k2_pre_topc(X0),X0)
& v3_pre_topc(k2_pre_topc(X0),X0) ) ),
inference(ennf_transformation,[],[f4709]) ).
fof(f6724,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ( v4_pre_topc(k2_pre_topc(X0),X0)
& v3_pre_topc(k2_pre_topc(X0),X0) ) ),
inference(flattening,[],[f6723]) ).
fof(f6725,plain,
! [X0] :
( ~ l1_struct_0(X0)
| m1_subset_1(k2_pre_topc(X0),k1_zfmisc_1(u1_struct_0(X0))) ),
inference(ennf_transformation,[],[f4691]) ).
fof(f6726,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ! [X1] :
( ~ m1_pre_topc(X1,X0)
| ! [X2] :
( ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
| ! [X3] :
( ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1)))
| X2 != X3
| k6_pre_topc(X1,X3) = k3_xboole_0(k6_pre_topc(X0,X2),k2_pre_topc(X1)) ) ) ) ),
inference(ennf_transformation,[],[f4677]) ).
fof(f6727,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ! [X1] :
( ~ m1_pre_topc(X1,X0)
| ! [X2] :
( ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
| ! [X3] :
( ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1)))
| X2 != X3
| k6_pre_topc(X1,X3) = k3_xboole_0(k6_pre_topc(X0,X2),k2_pre_topc(X1)) ) ) ) ),
inference(flattening,[],[f6726]) ).
fof(f6728,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ! [X1] :
( ~ m1_pre_topc(X1,X0)
| ! [X2] :
( ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ( v4_pre_topc(X2,X1)
<=> ? [X3] :
( k3_xboole_0(X3,k2_pre_topc(X1)) = X2
& v4_pre_topc(X3,X0)
& m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0))) ) ) ) ) ),
inference(ennf_transformation,[],[f4672]) ).
fof(f6731,plain,
! [X0] :
( ~ l1_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| k4_subset_1(u1_struct_0(X0),X1,k3_subset_1(u1_struct_0(X0),X1)) = k2_pre_topc(X0) ) ),
inference(ennf_transformation,[],[f4638]) ).
fof(f6732,plain,
! [X0] :
( ~ l1_struct_0(X0)
| ! [X1] :
( ~ r1_tarski(X1,k2_pre_topc(X0))
| m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) ) ),
inference(ennf_transformation,[],[f4636]) ).
fof(f6733,plain,
! [X0] :
( ~ l1_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| k5_subset_1(u1_struct_0(X0),X1,k2_pre_topc(X0)) = X1 ) ),
inference(ennf_transformation,[],[f4635]) ).
fof(f6734,plain,
! [X0] :
( ~ l1_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| r1_tarski(X1,k2_pre_topc(X0)) ) ),
inference(ennf_transformation,[],[f4634]) ).
fof(f6735,plain,
! [X0] :
( ~ l1_struct_0(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| r2_hidden(X1,k2_pre_topc(X0)) ) ),
inference(ennf_transformation,[],[f4633]) ).
fof(f6736,plain,
! [X0] :
( ~ l1_struct_0(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| r2_hidden(X1,k2_pre_topc(X0)) ) ),
inference(flattening,[],[f6735]) ).
fof(f6738,plain,
! [X0] :
( ~ l1_struct_0(X0)
| k2_pre_topc(X0) = u1_struct_0(X0) ),
inference(ennf_transformation,[],[f4625]) ).
fof(f6739,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v4_pre_topc(k2_pre_topc(X0),X0) ),
inference(ennf_transformation,[],[f4615]) ).
fof(f6740,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v4_pre_topc(k2_pre_topc(X0),X0) ),
inference(flattening,[],[f6739]) ).
fof(f6741,plain,
! [X0] :
( ~ l1_struct_0(X0)
| v3_struct_0(X0)
| ~ v1_xboole_0(k2_pre_topc(X0)) ),
inference(ennf_transformation,[],[f4608]) ).
fof(f6742,plain,
! [X0] :
( ~ l1_struct_0(X0)
| v3_struct_0(X0)
| ~ v1_xboole_0(k2_pre_topc(X0)) ),
inference(flattening,[],[f6741]) ).
fof(f6743,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m2_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)),k1_lopclset(X0))
| m2_subset_1(k3_subset_1(u1_struct_0(X0),X1),k1_zfmisc_1(u1_struct_0(X0)),k1_lopclset(X0)) ) ),
inference(ennf_transformation,[],[f6420]) ).
fof(f6744,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m2_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)),k1_lopclset(X0))
| m2_subset_1(k3_subset_1(u1_struct_0(X0),X1),k1_zfmisc_1(u1_struct_0(X0)),k1_lopclset(X0)) ) ),
inference(flattening,[],[f6743]) ).
fof(f6745,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ v4_pre_topc(X1,X0)
| ~ v3_pre_topc(X1,X0)
| r2_hidden(X1,k1_lopclset(X0)) ) ),
inference(ennf_transformation,[],[f6413]) ).
fof(f6746,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ v4_pre_topc(X1,X0)
| ~ v3_pre_topc(X1,X0)
| r2_hidden(X1,k1_lopclset(X0)) ) ),
inference(flattening,[],[f6745]) ).
fof(f6747,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ r2_hidden(X1,k1_lopclset(X0))
| v4_pre_topc(X1,X0) ) ),
inference(ennf_transformation,[],[f6412]) ).
fof(f6748,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ r2_hidden(X1,k1_lopclset(X0))
| v4_pre_topc(X1,X0) ) ),
inference(flattening,[],[f6747]) ).
fof(f6749,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ r2_hidden(X1,k1_lopclset(X0))
| v3_pre_topc(X1,X0) ) ),
inference(ennf_transformation,[],[f6411]) ).
fof(f6750,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ r2_hidden(X1,k1_lopclset(X0))
| v3_pre_topc(X1,X0) ) ),
inference(flattening,[],[f6749]) ).
fof(f6751,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| ~ v1_xboole_0(k1_lopclset(X0)) ),
inference(ennf_transformation,[],[f6409]) ).
fof(f6752,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| ~ v1_xboole_0(k1_lopclset(X0)) ),
inference(flattening,[],[f6751]) ).
fof(f6753,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| v3_struct_0(X0)
| m1_subset_1(k1_lopclset(X0),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(X0)))) ),
inference(ennf_transformation,[],[f6387]) ).
fof(f6754,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| v3_struct_0(X0)
| m1_subset_1(k1_lopclset(X0),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(X0)))) ),
inference(flattening,[],[f6753]) ).
fof(f6757,plain,
! [X0,X1] :
( ~ v1_finset_1(X1)
| v1_finset_1(k3_xboole_0(X0,X1)) ),
inference(ennf_transformation,[],[f2328]) ).
fof(f6758,plain,
! [X0] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ! [X1] :
( ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ! [X2] :
( ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| k2_xboole_0(X0,X1) != X2
| ! [X3] :
( ~ r2_hidden(X3,k3_xboole_0(k1_relat_1(X0),k1_relat_1(X1)))
| k1_funct_1(X0,X3) = k1_funct_1(X1,X3) ) ) ) ),
inference(ennf_transformation,[],[f1354]) ).
fof(f6759,plain,
! [X0] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ! [X1] :
( ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ! [X2] :
( ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| k2_xboole_0(X0,X1) != X2
| ! [X3] :
( ~ r2_hidden(X3,k3_xboole_0(k1_relat_1(X0),k1_relat_1(X1)))
| k1_funct_1(X0,X3) = k1_funct_1(X1,X3) ) ) ) ),
inference(flattening,[],[f6758]) ).
fof(f6760,plain,
! [X0] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ! [X1] :
( ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ? [X3] :
( v1_funct_1(X3)
& v1_relat_1(X3)
& k2_xboole_0(X0,X1) = X3 )
| ? [X2] :
( r2_hidden(X2,k3_xboole_0(k1_relat_1(X0),k1_relat_1(X1)))
& k1_funct_1(X0,X2) != k1_funct_1(X1,X2) ) ) ),
inference(ennf_transformation,[],[f6470]) ).
fof(f6761,plain,
! [X0] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ! [X1] :
( ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ? [X3] :
( v1_funct_1(X3)
& v1_relat_1(X3)
& k2_xboole_0(X0,X1) = X3 )
| ? [X2] :
( r2_hidden(X2,k3_xboole_0(k1_relat_1(X0),k1_relat_1(X1)))
& k1_funct_1(X0,X2) != k1_funct_1(X1,X2) ) ) ),
inference(flattening,[],[f6760]) ).
fof(f6762,plain,
! [X0] :
( ~ v1_relat_1(X0)
| ! [X1] :
( ~ v1_relat_1(X1)
| r1_tarski(k2_relat_1(k3_xboole_0(X0,X1)),k3_xboole_0(k2_relat_1(X0),k2_relat_1(X1))) ) ),
inference(ennf_transformation,[],[f728]) ).
fof(f6763,plain,
! [X0] :
( ~ v1_relat_1(X0)
| k3_xboole_0(X0,k2_zfmisc_1(k1_relat_1(X0),k2_relat_1(X0))) = X0 ),
inference(ennf_transformation,[],[f723]) ).
fof(f6764,plain,
! [X0] :
( ~ v1_relat_1(X0)
| ! [X1] :
( ~ v1_relat_1(X1)
| r1_tarski(k1_relat_1(k3_xboole_0(X0,X1)),k3_xboole_0(k1_relat_1(X0),k1_relat_1(X1))) ) ),
inference(ennf_transformation,[],[f714]) ).
fof(f6765,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| v1_relat_1(k3_xboole_0(X0,X1)) ),
inference(ennf_transformation,[],[f708]) ).
fof(f6770,plain,
! [X0,X1,X2,X3] :
( ~ r1_tarski(X2,X3)
| ~ r1_tarski(X0,X1)
| k3_xboole_0(k2_zfmisc_1(X0,X3),k2_zfmisc_1(X1,X2)) = k2_zfmisc_1(X0,X2) ),
inference(ennf_transformation,[],[f449]) ).
fof(f6771,plain,
! [X0,X1,X2,X3] :
( ~ r1_tarski(X2,X3)
| ~ r1_tarski(X0,X1)
| k3_xboole_0(k2_zfmisc_1(X0,X3),k2_zfmisc_1(X1,X2)) = k2_zfmisc_1(X0,X2) ),
inference(flattening,[],[f6770]) ).
fof(f6772,plain,
! [X0,X1,X2,X3,X4] :
( ? [X5,X6] :
( r2_hidden(X6,k3_xboole_0(X2,X4))
& r2_hidden(X5,k3_xboole_0(X1,X3))
& X0 = k4_tarski(X5,X6) )
| ~ r2_hidden(X0,k3_xboole_0(k2_zfmisc_1(X1,X2),k2_zfmisc_1(X3,X4))) ),
inference(ennf_transformation,[],[f429]) ).
fof(f6773,plain,
! [X0,X1] :
( ~ r2_hidden(X0,X1)
| k3_xboole_0(X1,k1_tarski(X0)) = k1_tarski(X0) ),
inference(ennf_transformation,[],[f377]) ).
fof(f6774,plain,
! [X0,X1] :
( k1_tarski(X1) != k3_xboole_0(X0,k1_tarski(X1))
| r2_hidden(X1,X0) ),
inference(ennf_transformation,[],[f376]) ).
fof(f6775,plain,
! [X0,X1] :
( k1_tarski(X0) != k3_xboole_0(k1_tarski(X0),k1_tarski(X1))
| X0 = X1 ),
inference(ennf_transformation,[],[f343]) ).
fof(f6777,plain,
! [X0,X1,X2] :
( ~ r1_tarski(X0,X1)
| k2_xboole_0(X0,k3_xboole_0(X2,X1)) = k3_xboole_0(k2_xboole_0(X0,X2),X1) ),
inference(ennf_transformation,[],[f99]) ).
fof(f6778,plain,
! [X0,X1] :
( ~ r1_tarski(X0,X1)
| k3_xboole_0(X0,X1) = X0 ),
inference(ennf_transformation,[],[f97]) ).
fof(f6779,plain,
! [X0,X1,X2,X3] :
( ~ r1_tarski(X2,X3)
| ~ r1_tarski(X0,X1)
| r1_tarski(k3_xboole_0(X0,X2),k3_xboole_0(X1,X3)) ),
inference(ennf_transformation,[],[f96]) ).
fof(f6780,plain,
! [X0,X1,X2,X3] :
( ~ r1_tarski(X2,X3)
| ~ r1_tarski(X0,X1)
| r1_tarski(k3_xboole_0(X0,X2),k3_xboole_0(X1,X3)) ),
inference(flattening,[],[f6779]) ).
fof(f6781,plain,
! [X0,X1,X2] :
( ~ r1_tarski(X0,X1)
| r1_tarski(k3_xboole_0(X0,X2),k3_xboole_0(X1,X2)) ),
inference(ennf_transformation,[],[f95]) ).
fof(f6782,plain,
! [X0,X1,X2] :
( ? [X3] :
( r1_tarski(X3,X2)
& r1_tarski(X3,X1)
& ~ r1_tarski(X3,X0) )
| ~ r1_tarski(X0,X2)
| ~ r1_tarski(X0,X1)
| X0 = k3_xboole_0(X1,X2) ),
inference(ennf_transformation,[],[f89]) ).
fof(f6783,plain,
! [X0,X1,X2] :
( ? [X3] :
( r1_tarski(X3,X2)
& r1_tarski(X3,X1)
& ~ r1_tarski(X3,X0) )
| ~ r1_tarski(X0,X2)
| ~ r1_tarski(X0,X1)
| X0 = k3_xboole_0(X1,X2) ),
inference(flattening,[],[f6782]) ).
fof(f6784,plain,
! [X0,X1,X2] :
( ~ r1_tarski(X0,X2)
| ~ r1_tarski(X0,X1)
| r1_tarski(X0,k3_xboole_0(X1,X2)) ),
inference(ennf_transformation,[],[f88]) ).
fof(f6785,plain,
! [X0,X1,X2] :
( ~ r1_tarski(X0,X2)
| ~ r1_tarski(X0,X1)
| r1_tarski(X0,k3_xboole_0(X1,X2)) ),
inference(flattening,[],[f6784]) ).
fof(f6787,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v1_xboole_0(X1)
| ( m1_filter_0(X1,X0)
<=> ( ! [X4] :
( ~ m1_subset_1(X4,u1_struct_0(X0))
| ! [X5] :
( ~ m1_subset_1(X5,u1_struct_0(X0))
| ~ r3_lattices(X0,X4,X5)
| ~ r2_hidden(X4,X1)
| r2_hidden(X5,X1) ) )
& ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| ! [X3] :
( ~ m1_subset_1(X3,u1_struct_0(X0))
| ~ r2_hidden(X3,X1)
| ~ r2_hidden(X2,X1)
| r2_hidden(k4_lattices(X0,X2,X3),X1) ) ) ) ) ) ),
inference(ennf_transformation,[],[f6472]) ).
fof(f6788,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v1_xboole_0(X1)
| ( m1_filter_0(X1,X0)
<=> ( ! [X4] :
( ~ m1_subset_1(X4,u1_struct_0(X0))
| ! [X5] :
( ~ m1_subset_1(X5,u1_struct_0(X0))
| ~ r3_lattices(X0,X4,X5)
| ~ r2_hidden(X4,X1)
| r2_hidden(X5,X1) ) )
& ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| ! [X3] :
( ~ m1_subset_1(X3,u1_struct_0(X0))
| ~ r2_hidden(X3,X1)
| ~ r2_hidden(X2,X1)
| r2_hidden(k4_lattices(X0,X2,X3),X1) ) ) ) ) ) ),
inference(flattening,[],[f6787]) ).
fof(f6789,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v1_xboole_0(X1)
| ( m1_filter_0(X1,X0)
<=> ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| ! [X3] :
( ~ m1_subset_1(X3,u1_struct_0(X0))
| ( ( r2_hidden(X3,X1)
& r2_hidden(X2,X1) )
<=> r2_hidden(k4_lattices(X0,X2,X3),X1) ) ) ) ) ) ),
inference(ennf_transformation,[],[f5490]) ).
fof(f6790,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v1_xboole_0(X1)
| ( m1_filter_0(X1,X0)
<=> ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| ! [X3] :
( ~ m1_subset_1(X3,u1_struct_0(X0))
| ( ( r2_hidden(X3,X1)
& r2_hidden(X2,X1) )
<=> r2_hidden(k4_lattices(X0,X2,X3),X1) ) ) ) ) ) ),
inference(flattening,[],[f6789]) ).
fof(f6791,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| ! [X3] :
( ~ m1_subset_1(X3,u1_struct_0(X0))
| ~ r3_lattices(X0,X1,X3)
| ~ r3_lattices(X0,X1,X2)
| r3_lattices(X0,X1,k4_lattices(X0,X2,X3)) ) ) ) ),
inference(ennf_transformation,[],[f5489]) ).
fof(f6792,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| ! [X3] :
( ~ m1_subset_1(X3,u1_struct_0(X0))
| ~ r3_lattices(X0,X1,X3)
| ~ r3_lattices(X0,X1,X2)
| r3_lattices(X0,X1,k4_lattices(X0,X2,X3)) ) ) ) ),
inference(flattening,[],[f6791]) ).
fof(f6793,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| ! [X3] :
( ~ m1_subset_1(X3,u1_struct_0(X0))
| ! [X4] :
( ~ m1_subset_1(X4,u1_struct_0(X0))
| ~ r3_lattices(X0,X3,X4)
| ~ r3_lattices(X0,X1,X2)
| ( r3_lattices(X0,k4_lattices(X0,X1,X3),k4_lattices(X0,X4,X2))
& r3_lattices(X0,k4_lattices(X0,X1,X3),k4_lattices(X0,X2,X4)) ) ) ) ) ) ),
inference(ennf_transformation,[],[f5487]) ).
fof(f6794,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| ! [X3] :
( ~ m1_subset_1(X3,u1_struct_0(X0))
| ! [X4] :
( ~ m1_subset_1(X4,u1_struct_0(X0))
| ~ r3_lattices(X0,X3,X4)
| ~ r3_lattices(X0,X1,X2)
| ( r3_lattices(X0,k4_lattices(X0,X1,X3),k4_lattices(X0,X4,X2))
& r3_lattices(X0,k4_lattices(X0,X1,X3),k4_lattices(X0,X2,X4)) ) ) ) ) ) ),
inference(flattening,[],[f6793]) ).
fof(f6795,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| ! [X3] :
( ~ m1_subset_1(X3,u1_struct_0(X0))
| ~ r3_lattices(X0,X1,X2)
| ( r3_lattices(X0,k4_lattices(X0,X3,X1),X2)
& r3_lattices(X0,k4_lattices(X0,X1,X3),X2) ) ) ) ) ),
inference(ennf_transformation,[],[f5484]) ).
fof(f6796,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| ! [X3] :
( ~ m1_subset_1(X3,u1_struct_0(X0))
| ~ r3_lattices(X0,X1,X2)
| ( r3_lattices(X0,k4_lattices(X0,X3,X1),X2)
& r3_lattices(X0,k4_lattices(X0,X1,X3),X2) ) ) ) ) ),
inference(flattening,[],[f6795]) ).
fof(f6797,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ( ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| ! [X3] :
( ~ m1_subset_1(X3,u1_struct_0(X0))
| k4_lattices(X0,X1,k3_lattices(X0,X2,X3)) = k3_lattices(X0,k4_lattices(X0,X1,X2),k4_lattices(X0,X1,X3)) ) ) )
<=> ! [X4] :
( ~ m1_subset_1(X4,u1_struct_0(X0))
| ! [X5] :
( ~ m1_subset_1(X5,u1_struct_0(X0))
| ! [X6] :
( ~ m1_subset_1(X6,u1_struct_0(X0))
| k3_lattices(X0,X4,k4_lattices(X0,X5,X6)) = k4_lattices(X0,k3_lattices(X0,X4,X5),k3_lattices(X0,X4,X6)) ) ) ) ) ),
inference(ennf_transformation,[],[f6473]) ).
fof(f6798,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ( ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| ! [X3] :
( ~ m1_subset_1(X3,u1_struct_0(X0))
| k4_lattices(X0,X1,k3_lattices(X0,X2,X3)) = k3_lattices(X0,k4_lattices(X0,X1,X2),k4_lattices(X0,X1,X3)) ) ) )
<=> ! [X4] :
( ~ m1_subset_1(X4,u1_struct_0(X0))
| ! [X5] :
( ~ m1_subset_1(X5,u1_struct_0(X0))
| ! [X6] :
( ~ m1_subset_1(X6,u1_struct_0(X0))
| k3_lattices(X0,X4,k4_lattices(X0,X5,X6)) = k4_lattices(X0,k3_lattices(X0,X4,X5),k3_lattices(X0,X4,X6)) ) ) ) ) ),
inference(flattening,[],[f6797]) ).
fof(f6801,plain,
! [X0,X1] :
( ~ v1_finset_1(X1)
| ~ v1_finset_1(X0)
| v1_finset_1(k2_xboole_0(X0,X1)) ),
inference(ennf_transformation,[],[f2327]) ).
fof(f6802,plain,
! [X0,X1] :
( ~ v1_finset_1(X1)
| ~ v1_finset_1(X0)
| v1_finset_1(k2_xboole_0(X0,X1)) ),
inference(flattening,[],[f6801]) ).
fof(f6803,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ r1_tarski(X3,k2_zfmisc_1(X4,X5))
| ~ r1_tarski(X0,k2_zfmisc_1(X1,X2))
| r1_tarski(k2_xboole_0(X0,X3),k2_zfmisc_1(k2_xboole_0(X1,X4),k2_xboole_0(X2,X5))) ),
inference(ennf_transformation,[],[f1352]) ).
fof(f6804,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ r1_tarski(X3,k2_zfmisc_1(X4,X5))
| ~ r1_tarski(X0,k2_zfmisc_1(X1,X2))
| r1_tarski(k2_xboole_0(X0,X3),k2_zfmisc_1(k2_xboole_0(X1,X4),k2_xboole_0(X2,X5))) ),
inference(flattening,[],[f6803]) ).
fof(f6805,plain,
! [X0] :
( ~ v1_relat_1(X0)
| ! [X1] :
( ~ v1_relat_1(X1)
| k2_relat_1(k2_xboole_0(X0,X1)) = k2_xboole_0(k2_relat_1(X0),k2_relat_1(X1)) ) ),
inference(ennf_transformation,[],[f727]) ).
fof(f6806,plain,
! [X0] :
( ~ v1_relat_1(X0)
| ! [X1] :
( ~ v1_relat_1(X1)
| k1_relat_1(k2_xboole_0(X0,X1)) = k2_xboole_0(k1_relat_1(X0),k1_relat_1(X1)) ) ),
inference(ennf_transformation,[],[f713]) ).
fof(f6807,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| ~ v1_relat_1(X0)
| v1_relat_1(k2_xboole_0(X0,X1)) ),
inference(ennf_transformation,[],[f682]) ).
fof(f6808,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| ~ v1_relat_1(X0)
| v1_relat_1(k2_xboole_0(X0,X1)) ),
inference(flattening,[],[f6807]) ).
fof(f6812,plain,
! [X0,X1,X2] :
( ~ r1_tarski(k4_xboole_0(X0,X1),X2)
| r1_tarski(X0,k2_xboole_0(X1,X2)) ),
inference(ennf_transformation,[],[f113]) ).
fof(f6813,plain,
! [X0,X1,X2] :
( ~ r1_tarski(X0,k2_xboole_0(X1,X2))
| r1_tarski(k4_xboole_0(X0,X1),X2) ),
inference(ennf_transformation,[],[f112]) ).
fof(f6814,plain,
! [X0,X1] :
( k1_xboole_0 != k2_xboole_0(X0,X1)
| X0 = k1_xboole_0 ),
inference(ennf_transformation,[],[f84]) ).
fof(f6815,plain,
! [X0,X1,X2] :
( ? [X3] :
( r1_tarski(X2,X3)
& r1_tarski(X0,X3)
& ~ r1_tarski(X1,X3) )
| ~ r1_tarski(X2,X1)
| ~ r1_tarski(X0,X1)
| X1 = k2_xboole_0(X0,X2) ),
inference(ennf_transformation,[],[f83]) ).
fof(f6816,plain,
! [X0,X1,X2] :
( ? [X3] :
( r1_tarski(X2,X3)
& r1_tarski(X0,X3)
& ~ r1_tarski(X1,X3) )
| ~ r1_tarski(X2,X1)
| ~ r1_tarski(X0,X1)
| X1 = k2_xboole_0(X0,X2) ),
inference(flattening,[],[f6815]) ).
fof(f6817,plain,
! [X0,X1,X2,X3] :
( ~ r1_tarski(X2,X3)
| ~ r1_tarski(X0,X1)
| r1_tarski(k2_xboole_0(X0,X2),k2_xboole_0(X1,X3)) ),
inference(ennf_transformation,[],[f82]) ).
fof(f6818,plain,
! [X0,X1,X2,X3] :
( ~ r1_tarski(X2,X3)
| ~ r1_tarski(X0,X1)
| r1_tarski(k2_xboole_0(X0,X2),k2_xboole_0(X1,X3)) ),
inference(flattening,[],[f6817]) ).
fof(f6819,plain,
! [X0,X1] :
( ~ r1_tarski(X0,X1)
| k2_xboole_0(X0,X1) = X1 ),
inference(ennf_transformation,[],[f81]) ).
fof(f6820,plain,
! [X0,X1,X2] :
( ~ r1_tarski(k2_xboole_0(X0,X1),X2)
| r1_tarski(X0,X2) ),
inference(ennf_transformation,[],[f80]) ).
fof(f6821,plain,
! [X0,X1,X2] :
( ~ r1_tarski(X0,X1)
| r1_tarski(X0,k2_xboole_0(X2,X1)) ),
inference(ennf_transformation,[],[f79]) ).
fof(f6822,plain,
! [X0,X1,X2] :
( ~ r1_tarski(X0,X1)
| r1_tarski(k2_xboole_0(X0,X2),k2_xboole_0(X1,X2)) ),
inference(ennf_transformation,[],[f78]) ).
fof(f6823,plain,
! [X0,X1,X2] :
( ~ r1_tarski(X2,X1)
| ~ r1_tarski(X0,X1)
| r1_tarski(k2_xboole_0(X0,X2),X1) ),
inference(ennf_transformation,[],[f77]) ).
fof(f6824,plain,
! [X0,X1,X2] :
( ~ r1_tarski(X2,X1)
| ~ r1_tarski(X0,X1)
| r1_tarski(k2_xboole_0(X0,X2),X1) ),
inference(flattening,[],[f6823]) ).
fof(f6825,plain,
! [X0,X1] :
( v1_xboole_0(X0)
| ~ v1_xboole_0(k2_xboole_0(X1,X0)) ),
inference(ennf_transformation,[],[f28]) ).
fof(f6826,plain,
! [X0,X1] :
( v1_xboole_0(X0)
| ~ v1_xboole_0(k2_xboole_0(X0,X1)) ),
inference(ennf_transformation,[],[f27]) ).
fof(f6827,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ? [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
& k3_lattices(X0,X1,X2) != X2 )
| X1 = k5_lattices(X0) ) ),
inference(ennf_transformation,[],[f5643]) ).
fof(f6828,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ? [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
& k3_lattices(X0,X1,X2) != X2 )
| X1 = k5_lattices(X0) ) ),
inference(flattening,[],[f6827]) ).
fof(f6829,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| ! [X3] :
( ~ m1_filter_0(X3,X0)
| ~ r2_hidden(X1,X3)
| ( r2_hidden(k3_lattices(X0,X2,X1),X3)
& r2_hidden(k3_lattices(X0,X1,X2),X3) ) ) ) ) ),
inference(ennf_transformation,[],[f5493]) ).
fof(f6830,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| ! [X3] :
( ~ m1_filter_0(X3,X0)
| ~ r2_hidden(X1,X3)
| ( r2_hidden(k3_lattices(X0,X2,X1),X3)
& r2_hidden(k3_lattices(X0,X1,X2),X3) ) ) ) ) ),
inference(flattening,[],[f6829]) ).
fof(f6831,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| ! [X3] :
( ~ m1_subset_1(X3,u1_struct_0(X0))
| ~ r3_lattices(X0,X3,X2)
| ~ r3_lattices(X0,X1,X2)
| r3_lattices(X0,k3_lattices(X0,X1,X3),X2) ) ) ) ),
inference(ennf_transformation,[],[f5488]) ).
fof(f6832,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| ! [X3] :
( ~ m1_subset_1(X3,u1_struct_0(X0))
| ~ r3_lattices(X0,X3,X2)
| ~ r3_lattices(X0,X1,X2)
| r3_lattices(X0,k3_lattices(X0,X1,X3),X2) ) ) ) ),
inference(flattening,[],[f6831]) ).
fof(f6833,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| ! [X3] :
( ~ m1_subset_1(X3,u1_struct_0(X0))
| ! [X4] :
( ~ m1_subset_1(X4,u1_struct_0(X0))
| ~ r3_lattices(X0,X3,X4)
| ~ r3_lattices(X0,X1,X2)
| ( r3_lattices(X0,k3_lattices(X0,X1,X3),k3_lattices(X0,X4,X2))
& r3_lattices(X0,k3_lattices(X0,X1,X3),k3_lattices(X0,X2,X4)) ) ) ) ) ) ),
inference(ennf_transformation,[],[f5486]) ).
fof(f6834,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| ! [X3] :
( ~ m1_subset_1(X3,u1_struct_0(X0))
| ! [X4] :
( ~ m1_subset_1(X4,u1_struct_0(X0))
| ~ r3_lattices(X0,X3,X4)
| ~ r3_lattices(X0,X1,X2)
| ( r3_lattices(X0,k3_lattices(X0,X1,X3),k3_lattices(X0,X4,X2))
& r3_lattices(X0,k3_lattices(X0,X1,X3),k3_lattices(X0,X2,X4)) ) ) ) ) ) ),
inference(flattening,[],[f6833]) ).
fof(f6835,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| ! [X3] :
( ~ m1_subset_1(X3,u1_struct_0(X0))
| ~ r3_lattices(X0,X1,X2)
| ( r3_lattices(X0,X1,k3_lattices(X0,X2,X3))
& r3_lattices(X0,X1,k3_lattices(X0,X3,X2)) ) ) ) ) ),
inference(ennf_transformation,[],[f5485]) ).
fof(f6836,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| ! [X3] :
( ~ m1_subset_1(X3,u1_struct_0(X0))
| ~ r3_lattices(X0,X1,X2)
| ( r3_lattices(X0,X1,k3_lattices(X0,X2,X3))
& r3_lattices(X0,X1,k3_lattices(X0,X3,X2)) ) ) ) ) ),
inference(flattening,[],[f6835]) ).
fof(f6837,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| ! [X3] :
( ~ m1_subset_1(X3,u1_struct_0(X0))
| ~ r3_lattices(X0,X1,X2)
| ( r3_lattices(X0,k3_lattices(X0,X3,X1),k3_lattices(X0,X2,X3))
& r3_lattices(X0,k3_lattices(X0,X1,X3),k3_lattices(X0,X3,X2))
& r3_lattices(X0,k3_lattices(X0,X1,X3),k3_lattices(X0,X2,X3))
& r3_lattices(X0,k3_lattices(X0,X3,X1),k3_lattices(X0,X3,X2)) ) ) ) ) ),
inference(ennf_transformation,[],[f5483]) ).
fof(f6838,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| ! [X3] :
( ~ m1_subset_1(X3,u1_struct_0(X0))
| ~ r3_lattices(X0,X1,X2)
| ( r3_lattices(X0,k3_lattices(X0,X3,X1),k3_lattices(X0,X2,X3))
& r3_lattices(X0,k3_lattices(X0,X1,X3),k3_lattices(X0,X3,X2))
& r3_lattices(X0,k3_lattices(X0,X1,X3),k3_lattices(X0,X2,X3))
& r3_lattices(X0,k3_lattices(X0,X3,X1),k3_lattices(X0,X3,X2)) ) ) ) ) ),
inference(flattening,[],[f6837]) ).
fof(f6839,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v13_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| k3_lattices(X0,k5_lattices(X0),X1) = X1 ) ),
inference(ennf_transformation,[],[f4559]) ).
fof(f6840,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v13_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| k3_lattices(X0,k5_lattices(X0),X1) = X1 ) ),
inference(flattening,[],[f6839]) ).
fof(f6841,plain,
! [X0,X1,X2,X3] :
( ~ m2_relset_1(X3,X0,X1)
| ~ v1_funct_2(X3,X0,X1)
| ~ v1_funct_1(X3)
| ~ r1_tarski(X1,X2)
| ( m2_relset_1(X3,X0,X2)
& v1_funct_2(X3,X0,X2)
& v1_funct_1(X3) )
| ( X0 != k1_xboole_0
& X1 = k1_xboole_0 ) ),
inference(ennf_transformation,[],[f1709]) ).
fof(f6842,plain,
! [X0,X1,X2,X3] :
( ~ m2_relset_1(X3,X0,X1)
| ~ v1_funct_2(X3,X0,X1)
| ~ v1_funct_1(X3)
| ~ r1_tarski(X1,X2)
| ( m2_relset_1(X3,X0,X2)
& v1_funct_2(X3,X0,X2)
& v1_funct_1(X3) )
| ( X0 != k1_xboole_0
& X1 = k1_xboole_0 ) ),
inference(flattening,[],[f6841]) ).
fof(f6843,plain,
! [X0,X1,X2] :
( ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| ! [X3] :
( ~ m2_relset_1(X3,X0,X1)
| ~ v1_funct_1(X3)
| ~ r1_tarski(X2,X3)
| ( m2_relset_1(X2,X0,X1)
& v1_funct_1(X2) ) ) ),
inference(ennf_transformation,[],[f1384]) ).
fof(f6844,plain,
! [X0,X1,X2] :
( ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| ! [X3] :
( ~ m2_relset_1(X3,X0,X1)
| ~ v1_funct_1(X3)
| ~ r1_tarski(X2,X3)
| ( m2_relset_1(X2,X0,X1)
& v1_funct_1(X2) ) ) ),
inference(flattening,[],[f6843]) ).
fof(f6845,plain,
! [X0,X1,X2,X3,X4] :
( ~ m2_relset_1(X4,X0,X1)
| ~ v1_funct_1(X4)
| ~ r1_tarski(X1,X3)
| ~ r1_tarski(X0,X2)
| ( m2_relset_1(X4,X2,X3)
& v1_funct_1(X4) ) ),
inference(ennf_transformation,[],[f1383]) ).
fof(f6846,plain,
! [X0,X1,X2,X3,X4] :
( ~ m2_relset_1(X4,X0,X1)
| ~ v1_funct_1(X4)
| ~ r1_tarski(X1,X3)
| ~ r1_tarski(X0,X2)
| ( m2_relset_1(X4,X2,X3)
& v1_funct_1(X4) ) ),
inference(flattening,[],[f6845]) ).
fof(f6849,plain,
! [X0,X1,X2,X3] :
( ~ m2_relset_1(X3,X0,X1)
| ~ v1_funct_1(X3)
| ~ r1_tarski(X0,X2)
| ( m2_relset_1(X3,X2,X1)
& v1_funct_1(X3) ) ),
inference(ennf_transformation,[],[f1381]) ).
fof(f6850,plain,
! [X0,X1,X2,X3] :
( ~ m2_relset_1(X3,X0,X1)
| ~ v1_funct_1(X3)
| ~ r1_tarski(X0,X2)
| ( m2_relset_1(X3,X2,X1)
& v1_funct_1(X3) ) ),
inference(flattening,[],[f6849]) ).
fof(f6851,plain,
! [X0,X1,X2,X3,X4] :
( ~ m2_relset_1(X4,X0,X2)
| ~ r1_tarski(X2,X3)
| ~ r1_tarski(X0,X1)
| m2_relset_1(X4,X1,X3) ),
inference(ennf_transformation,[],[f1275]) ).
fof(f6852,plain,
! [X0,X1,X2,X3,X4] :
( ~ m2_relset_1(X4,X0,X2)
| ~ r1_tarski(X2,X3)
| ~ r1_tarski(X0,X1)
| m2_relset_1(X4,X1,X3) ),
inference(flattening,[],[f6851]) ).
fof(f6853,plain,
! [X0,X1,X2,X3] :
( ~ m2_relset_1(X3,X2,X0)
| ~ r1_tarski(X0,X1)
| m2_relset_1(X3,X2,X1) ),
inference(ennf_transformation,[],[f1274]) ).
fof(f6854,plain,
! [X0,X1,X2,X3] :
( ~ m2_relset_1(X3,X2,X0)
| ~ r1_tarski(X0,X1)
| m2_relset_1(X3,X2,X1) ),
inference(flattening,[],[f6853]) ).
fof(f6855,plain,
! [X0,X1,X2,X3] :
( ~ m2_relset_1(X3,X0,X2)
| ~ r1_tarski(X0,X1)
| m2_relset_1(X3,X1,X2) ),
inference(ennf_transformation,[],[f1273]) ).
fof(f6856,plain,
! [X0,X1,X2,X3] :
( ~ m2_relset_1(X3,X0,X2)
| ~ r1_tarski(X0,X1)
| m2_relset_1(X3,X1,X2) ),
inference(flattening,[],[f6855]) ).
fof(f6857,plain,
! [X0,X1,X2,X3] :
( ~ m2_relset_1(X3,X1,X2)
| ~ r1_tarski(X0,X3)
| m2_relset_1(X0,X1,X2) ),
inference(ennf_transformation,[],[f1262]) ).
fof(f6858,plain,
! [X0,X1,X2,X3] :
( ~ m2_relset_1(X3,X1,X2)
| ~ r1_tarski(X0,X3)
| m2_relset_1(X0,X1,X2) ),
inference(flattening,[],[f6857]) ).
fof(f6859,plain,
! [X0,X1] :
( ~ r1_tarski(X1,X0)
| ~ r2_hidden(X0,X1) ),
inference(ennf_transformation,[],[f1191]) ).
fof(f6860,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| ~ r1_tarski(X0,X1)
| v1_relat_1(X0) ),
inference(ennf_transformation,[],[f700]) ).
fof(f6861,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| ~ r1_tarski(X0,X1)
| v1_relat_1(X0) ),
inference(flattening,[],[f6860]) ).
fof(f6862,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ! [X2] :
( ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ? [X3] :
( m1_subset_1(X3,X1)
& ~ r2_hidden(X3,X2) )
| r1_tarski(X1,X2) ) ),
inference(ennf_transformation,[],[f531]) ).
fof(f6863,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ! [X2] :
( ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ? [X3] :
( m1_subset_1(X3,X1)
& ~ r2_hidden(X3,X2) )
| r1_tarski(X1,X2) ) ),
inference(flattening,[],[f6862]) ).
fof(f6864,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ! [X2] :
( ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ? [X3] :
( m1_subset_1(X3,X0)
& r2_hidden(X3,X1)
& ~ r2_hidden(X3,X2) )
| r1_tarski(X1,X2) ) ),
inference(ennf_transformation,[],[f489]) ).
fof(f6865,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ! [X2] :
( ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ? [X3] :
( m1_subset_1(X3,X0)
& r2_hidden(X3,X1)
& ~ r2_hidden(X3,X2) )
| r1_tarski(X1,X2) ) ),
inference(flattening,[],[f6864]) ).
fof(f6866,plain,
! [X0] :
( v1_xboole_0(X0)
| ! [X1,X2,X3] :
( ( ~ r1_tarski(k2_zfmisc_1(X1,X0),k2_zfmisc_1(X3,X2))
& ~ r1_tarski(k2_zfmisc_1(X0,X1),k2_zfmisc_1(X2,X3)) )
| r1_tarski(X1,X3) ) ),
inference(ennf_transformation,[],[f464]) ).
fof(f6867,plain,
! [X0,X1,X2,X3] :
( ~ r1_tarski(k2_zfmisc_1(X0,X1),k2_zfmisc_1(X2,X3))
| ( r1_tarski(X1,X3)
& r1_tarski(X0,X2) )
| k2_zfmisc_1(X0,X1) = k1_xboole_0 ),
inference(ennf_transformation,[],[f463]) ).
fof(f6868,plain,
! [X0,X1,X2,X3] :
( ~ r1_tarski(k2_zfmisc_1(X0,X1),k2_zfmisc_1(X2,X3))
| ( r1_tarski(X1,X3)
& r1_tarski(X0,X2) )
| k2_zfmisc_1(X0,X1) = k1_xboole_0 ),
inference(flattening,[],[f6867]) ).
fof(f6869,plain,
! [X0,X1] :
( ( ~ r1_tarski(X0,k2_zfmisc_1(X1,X0))
& ~ r1_tarski(X0,k2_zfmisc_1(X0,X1)) )
| X0 = k1_xboole_0 ),
inference(ennf_transformation,[],[f460]) ).
fof(f6870,plain,
! [X0,X1,X2,X3] :
( ~ r1_tarski(X2,X3)
| ~ r1_tarski(X0,X1)
| r1_tarski(k2_zfmisc_1(X0,X2),k2_zfmisc_1(X1,X3)) ),
inference(ennf_transformation,[],[f444]) ).
fof(f6871,plain,
! [X0,X1,X2,X3] :
( ~ r1_tarski(X2,X3)
| ~ r1_tarski(X0,X1)
| r1_tarski(k2_zfmisc_1(X0,X2),k2_zfmisc_1(X1,X3)) ),
inference(flattening,[],[f6870]) ).
fof(f6872,plain,
! [X0,X1,X2] :
( ~ r1_tarski(X0,X1)
| ( r1_tarski(k2_zfmisc_1(X2,X0),k2_zfmisc_1(X2,X1))
& r1_tarski(k2_zfmisc_1(X0,X2),k2_zfmisc_1(X1,X2)) ) ),
inference(ennf_transformation,[],[f443]) ).
fof(f6873,plain,
! [X0,X1,X2] :
( r1_tarski(X1,X2)
| ( ~ r1_tarski(k2_zfmisc_1(X0,X1),k2_zfmisc_1(X0,X2))
& ~ r1_tarski(k2_zfmisc_1(X1,X0),k2_zfmisc_1(X2,X0)) )
| k1_xboole_0 = X0 ),
inference(ennf_transformation,[],[f442]) ).
fof(f6875,plain,
! [X0,X1] :
( ~ r1_tarski(X0,X1)
| r1_tarski(k1_zfmisc_1(X0),k1_zfmisc_1(X1)) ),
inference(ennf_transformation,[],[f404]) ).
fof(f6876,plain,
! [X0] :
( ~ r1_tarski(X0,k1_xboole_0)
| X0 = k1_xboole_0 ),
inference(ennf_transformation,[],[f72]) ).
fof(f6877,plain,
! [X0,X1,X2] :
( ~ r1_tarski(X1,X2)
| ~ r1_tarski(X0,X1)
| r1_tarski(X0,X2) ),
inference(ennf_transformation,[],[f70]) ).
fof(f6878,plain,
! [X0,X1,X2] :
( ~ r1_tarski(X1,X2)
| ~ r1_tarski(X0,X1)
| r1_tarski(X0,X2) ),
inference(flattening,[],[f6877]) ).
fof(f6879,plain,
! [X0,X1] :
( r1_tarski(X0,X1)
<=> ! [X2] :
( ~ r2_hidden(X2,X0)
| r2_hidden(X2,X1) ) ),
inference(ennf_transformation,[],[f8]) ).
fof(f6880,plain,
! [X0] :
( ~ v1_xboole_0(X0)
| v1_funct_1(X0) ),
inference(ennf_transformation,[],[f915]) ).
fof(f6881,plain,
! [X0] :
( ~ v1_xboole_0(X0)
| v1_relat_1(X0) ),
inference(ennf_transformation,[],[f684]) ).
fof(f6882,plain,
! [X0,X1,X2] :
( ~ v1_xboole_0(X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r2_hidden(X0,X1) ),
inference(ennf_transformation,[],[f679]) ).
fof(f6885,plain,
! [X0,X1] :
( ( ~ v1_xboole_0(X0)
| ( m1_subset_1(X1,X0)
<=> v1_xboole_0(X1) ) )
& ( v1_xboole_0(X0)
| ( m1_subset_1(X1,X0)
<=> r2_hidden(X1,X0) ) ) ),
inference(ennf_transformation,[],[f480]) ).
fof(f6886,plain,
! [X0] :
( v1_xboole_0(X0)
| ? [X1] :
( ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(X0)) ) ),
inference(ennf_transformation,[],[f474]) ).
fof(f6887,plain,
! [X0,X1] :
( ~ v1_xboole_0(X1)
| X0 = X1
| ~ v1_xboole_0(X0) ),
inference(ennf_transformation,[],[f69]) ).
fof(f6888,plain,
! [X0,X1] :
( ~ v1_xboole_0(X1)
| ~ r2_hidden(X0,X1) ),
inference(ennf_transformation,[],[f68]) ).
fof(f6890,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ? [X2] :
( ! [X3] :
( ~ r2_hidden(X3,k2_zfmisc_1(X1,X1))
| r2_hidden(k1_funct_1(X2,X3),X1) )
& m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
& v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
& v1_funct_1(X2) ) ),
inference(ennf_transformation,[],[f4082]) ).
fof(f6891,plain,
! [X0,X1] :
( ~ m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| ? [X2] :
( ! [X3] :
( ~ r2_hidden(X3,k2_zfmisc_1(X2,X2))
| r2_hidden(k1_funct_1(X1,X3),X2) )
& m1_subset_1(X2,k1_zfmisc_1(X0)) ) ),
inference(ennf_transformation,[],[f4071]) ).
fof(f6892,plain,
! [X0,X1] :
( ~ m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| ? [X2] :
( ! [X3] :
( ~ r2_hidden(X3,k2_zfmisc_1(X2,X2))
| r2_hidden(k1_funct_1(X1,X3),X2) )
& m1_subset_1(X2,k1_zfmisc_1(X0)) ) ),
inference(flattening,[],[f6891]) ).
fof(f6893,plain,
! [X0,X1,X2] :
( ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ r2_hidden(X1,k2_zfmisc_1(X0,X0))
| r2_hidden(k1_funct_1(X2,X1),X0) ),
inference(ennf_transformation,[],[f4070]) ).
fof(f6894,plain,
! [X0,X1,X2] :
( ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ r2_hidden(X1,k2_zfmisc_1(X0,X0))
| r2_hidden(k1_funct_1(X2,X1),X0) ),
inference(flattening,[],[f6893]) ).
fof(f6895,plain,
! [X0,X1,X2] :
( ~ m2_relset_1(X2,X0,X1)
| m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) ),
inference(ennf_transformation,[],[f1316]) ).
fof(f6896,plain,
! [X0,X1,X2] :
( ~ m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| v1_relat_1(X2) ),
inference(ennf_transformation,[],[f1257]) ).
fof(f6897,plain,
! [X0,X1] :
( v1_xboole_0(X1)
| v1_xboole_0(X0)
| ~ v1_xboole_0(k2_zfmisc_1(X0,X1)) ),
inference(ennf_transformation,[],[f475]) ).
fof(f6898,plain,
! [X0,X1] :
( v1_xboole_0(X1)
| v1_xboole_0(X0)
| ~ v1_xboole_0(k2_zfmisc_1(X0,X1)) ),
inference(flattening,[],[f6897]) ).
fof(f6899,plain,
! [X0,X1,X2,X3] :
( k2_zfmisc_1(X0,X1) != k2_zfmisc_1(X2,X3)
| ( X1 = X3
& X0 = X2 )
| X1 = k1_xboole_0
| X0 = k1_xboole_0 ),
inference(ennf_transformation,[],[f459]) ).
fof(f6900,plain,
! [X0,X1,X2,X3] :
( k2_zfmisc_1(X0,X1) != k2_zfmisc_1(X2,X3)
| ( X1 = X3
& X0 = X2 )
| X1 = k1_xboole_0
| X0 = k1_xboole_0 ),
inference(flattening,[],[f6899]) ).
fof(f6901,plain,
! [X0,X1] :
( k2_zfmisc_1(X0,X0) != k2_zfmisc_1(X1,X1)
| X0 = X1 ),
inference(ennf_transformation,[],[f440]) ).
fof(f6904,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ r2_hidden(X5,X0)
| ~ r2_hidden(X4,X5)
| ~ r2_hidden(X3,X4)
| ~ r2_hidden(X2,X3)
| ~ r2_hidden(X1,X2)
| ~ r2_hidden(X0,X1) ),
inference(ennf_transformation,[],[f1190]) ).
fof(f6905,plain,
! [X0,X1,X2,X3,X4] :
( ~ r2_hidden(X4,X0)
| ~ r2_hidden(X3,X4)
| ~ r2_hidden(X2,X3)
| ~ r2_hidden(X1,X2)
| ~ r2_hidden(X0,X1) ),
inference(ennf_transformation,[],[f1189]) ).
fof(f6906,plain,
! [X0,X1,X2,X3] :
( ~ r2_hidden(X3,X0)
| ~ r2_hidden(X2,X3)
| ~ r2_hidden(X1,X2)
| ~ r2_hidden(X0,X1) ),
inference(ennf_transformation,[],[f1188]) ).
fof(f6907,plain,
! [X0,X1,X2] :
( ~ r2_hidden(X2,X0)
| ~ r2_hidden(X1,X2)
| ~ r2_hidden(X0,X1) ),
inference(ennf_transformation,[],[f1187]) ).
fof(f6908,plain,
! [X0,X1] :
( ~ r2_hidden(X0,X1)
| m1_subset_1(X0,X1) ),
inference(ennf_transformation,[],[f675]) ).
fof(f6909,plain,
! [X0,X1] :
( ? [X2] :
( ! [X3] :
( ~ r2_hidden(X3,X2)
| ~ r2_hidden(X3,X1) )
& r2_hidden(X2,X1) )
| ~ r2_hidden(X0,X1) ),
inference(ennf_transformation,[],[f12]) ).
fof(f6910,plain,
! [X0,X1] :
( ? [X2] :
( r2_hidden(X2,X0)
<~> r2_hidden(X2,X1) )
| X0 = X1 ),
inference(ennf_transformation,[],[f3]) ).
fof(f6911,plain,
! [X0,X1] :
( ~ r2_hidden(X0,X1)
| ~ r2_hidden(X1,X0) ),
inference(ennf_transformation,[],[f1]) ).
fof(f6912,plain,
! [X0,X1,X2] :
( ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| ! [X3] :
( ~ v1_funct_1(X3)
| ~ v1_relat_1(X3)
| ? [X4,X5] :
( r2_hidden(X5,X1)
& r2_hidden(X4,X0)
& k1_funct_1(X2,k4_tarski(X4,X5)) != k1_funct_1(X3,k4_tarski(X4,X5)) )
| k2_zfmisc_1(X0,X1) != k1_relat_1(X3)
| k2_zfmisc_1(X0,X1) != k1_relat_1(X2)
| X2 = X3 ) ),
inference(ennf_transformation,[],[f1909]) ).
fof(f6913,plain,
! [X0,X1,X2] :
( ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| ! [X3] :
( ~ v1_funct_1(X3)
| ~ v1_relat_1(X3)
| ? [X4,X5] :
( r2_hidden(X5,X1)
& r2_hidden(X4,X0)
& k1_funct_1(X2,k4_tarski(X4,X5)) != k1_funct_1(X3,k4_tarski(X4,X5)) )
| k2_zfmisc_1(X0,X1) != k1_relat_1(X3)
| k2_zfmisc_1(X0,X1) != k1_relat_1(X2)
| X2 = X3 ) ),
inference(flattening,[],[f6912]) ).
fof(f6914,plain,
! [X0,X1,X2,X3] :
( ~ m2_relset_1(X3,k2_zfmisc_1(X0,X1),X2)
| ~ v1_funct_2(X3,k2_zfmisc_1(X0,X1),X2)
| ~ v1_funct_1(X3)
| ! [X4] :
( ~ m2_relset_1(X4,k2_zfmisc_1(X0,X1),X2)
| ~ v1_funct_2(X4,k2_zfmisc_1(X0,X1),X2)
| ~ v1_funct_1(X4)
| ? [X5] :
( m1_subset_1(X5,X0)
& ? [X6] :
( m1_subset_1(X6,X1)
& k1_funct_1(X3,k4_tarski(X5,X6)) != k1_funct_1(X4,k4_tarski(X5,X6)) ) )
| X3 = X4 ) ),
inference(ennf_transformation,[],[f1823]) ).
fof(f6915,plain,
! [X0,X1,X2,X3] :
( ~ m2_relset_1(X3,k2_zfmisc_1(X0,X1),X2)
| ~ v1_funct_2(X3,k2_zfmisc_1(X0,X1),X2)
| ~ v1_funct_1(X3)
| ! [X4] :
( ~ m2_relset_1(X4,k2_zfmisc_1(X0,X1),X2)
| ~ v1_funct_2(X4,k2_zfmisc_1(X0,X1),X2)
| ~ v1_funct_1(X4)
| ? [X5] :
( m1_subset_1(X5,X0)
& ? [X6] :
( m1_subset_1(X6,X1)
& k1_funct_1(X3,k4_tarski(X5,X6)) != k1_funct_1(X4,k4_tarski(X5,X6)) ) )
| X3 = X4 ) ),
inference(flattening,[],[f6914]) ).
fof(f6916,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ m2_relset_1(X5,k2_zfmisc_1(X0,X1),X2)
| ~ v1_funct_2(X5,k2_zfmisc_1(X0,X1),X2)
| ~ v1_funct_1(X5)
| ~ r2_hidden(X4,X1)
| ~ r2_hidden(X3,X0)
| r2_hidden(k1_funct_1(X5,k4_tarski(X3,X4)),X2)
| X2 = k1_xboole_0 ),
inference(ennf_transformation,[],[f1822]) ).
fof(f6917,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ m2_relset_1(X5,k2_zfmisc_1(X0,X1),X2)
| ~ v1_funct_2(X5,k2_zfmisc_1(X0,X1),X2)
| ~ v1_funct_1(X5)
| ~ r2_hidden(X4,X1)
| ~ r2_hidden(X3,X0)
| r2_hidden(k1_funct_1(X5,k4_tarski(X3,X4)),X2)
| X2 = k1_xboole_0 ),
inference(flattening,[],[f6916]) ).
fof(f6918,plain,
! [X0,X1,X2,X3] :
( ~ m2_relset_1(X3,k2_zfmisc_1(X0,X1),X2)
| ~ v1_funct_2(X3,k2_zfmisc_1(X0,X1),X2)
| ~ v1_funct_1(X3)
| ! [X4] :
( ~ m2_relset_1(X4,k2_zfmisc_1(X0,X1),X2)
| ~ v1_funct_2(X4,k2_zfmisc_1(X0,X1),X2)
| ~ v1_funct_1(X4)
| ? [X5,X6] :
( r2_hidden(X6,X1)
& r2_hidden(X5,X0)
& k1_funct_1(X3,k4_tarski(X5,X6)) != k1_funct_1(X4,k4_tarski(X5,X6)) )
| X3 = X4 ) ),
inference(ennf_transformation,[],[f1821]) ).
fof(f6919,plain,
! [X0,X1,X2,X3] :
( ~ m2_relset_1(X3,k2_zfmisc_1(X0,X1),X2)
| ~ v1_funct_2(X3,k2_zfmisc_1(X0,X1),X2)
| ~ v1_funct_1(X3)
| ! [X4] :
( ~ m2_relset_1(X4,k2_zfmisc_1(X0,X1),X2)
| ~ v1_funct_2(X4,k2_zfmisc_1(X0,X1),X2)
| ~ v1_funct_1(X4)
| ? [X5,X6] :
( r2_hidden(X6,X1)
& r2_hidden(X5,X0)
& k1_funct_1(X3,k4_tarski(X5,X6)) != k1_funct_1(X4,k4_tarski(X5,X6)) )
| X3 = X4 ) ),
inference(flattening,[],[f6918]) ).
fof(f6920,plain,
! [X0,X1,X2] :
( ~ m2_relset_1(X2,X0,X1)
| ~ v1_funct_2(X2,X0,X1)
| ~ v1_funct_1(X2)
| ! [X3] :
( ~ m2_relset_1(X3,X0,X1)
| ~ v1_funct_2(X3,X0,X1)
| ~ v1_funct_1(X3)
| ? [X4] :
( m1_subset_1(X4,X0)
& k1_funct_1(X3,X4) != k1_funct_1(X2,X4) )
| X2 = X3 ) ),
inference(ennf_transformation,[],[f1816]) ).
fof(f6921,plain,
! [X0,X1,X2] :
( ~ m2_relset_1(X2,X0,X1)
| ~ v1_funct_2(X2,X0,X1)
| ~ v1_funct_1(X2)
| ! [X3] :
( ~ m2_relset_1(X3,X0,X1)
| ~ v1_funct_2(X3,X0,X1)
| ~ v1_funct_1(X3)
| ? [X4] :
( m1_subset_1(X4,X0)
& k1_funct_1(X3,X4) != k1_funct_1(X2,X4) )
| X2 = X3 ) ),
inference(flattening,[],[f6920]) ).
fof(f6922,plain,
! [X0,X1,X2] :
( ~ m2_relset_1(X2,X0,X1)
| ~ v1_funct_2(X2,X0,X1)
| ~ v1_funct_1(X2)
| ! [X3] :
( ~ m2_relset_1(X3,X0,X1)
| ~ v1_funct_2(X3,X0,X1)
| ~ v1_funct_1(X3)
| ? [X4] :
( r2_hidden(X4,X0)
& k1_funct_1(X3,X4) != k1_funct_1(X2,X4) )
| X2 = X3 ) ),
inference(ennf_transformation,[],[f1719]) ).
fof(f6923,plain,
! [X0,X1,X2] :
( ~ m2_relset_1(X2,X0,X1)
| ~ v1_funct_2(X2,X0,X1)
| ~ v1_funct_1(X2)
| ! [X3] :
( ~ m2_relset_1(X3,X0,X1)
| ~ v1_funct_2(X3,X0,X1)
| ~ v1_funct_1(X3)
| ? [X4] :
( r2_hidden(X4,X0)
& k1_funct_1(X3,X4) != k1_funct_1(X2,X4) )
| X2 = X3 ) ),
inference(flattening,[],[f6922]) ).
fof(f6924,plain,
! [X0,X1,X2,X3] :
( ~ m2_relset_1(X3,X0,X1)
| ~ v1_funct_2(X3,X0,X1)
| ~ v1_funct_1(X3)
| ? [X4] :
( k1_funct_1(X3,X4) = X2
& r2_hidden(X4,X0) )
| k2_relat_1(X3) != X1
| ~ r2_hidden(X2,X1) ),
inference(ennf_transformation,[],[f1718]) ).
fof(f6925,plain,
! [X0,X1,X2,X3] :
( ~ m2_relset_1(X3,X0,X1)
| ~ v1_funct_2(X3,X0,X1)
| ~ v1_funct_1(X3)
| ? [X4] :
( k1_funct_1(X3,X4) = X2
& r2_hidden(X4,X0) )
| k2_relat_1(X3) != X1
| ~ r2_hidden(X2,X1) ),
inference(flattening,[],[f6924]) ).
fof(f6926,plain,
! [X0,X1,X2] :
( ~ m2_relset_1(X2,X0,X1)
| ~ v1_funct_2(X2,X0,X1)
| ~ v1_funct_1(X2)
| ? [X3] :
( ! [X4] :
( k1_funct_1(X2,X4) != X3
| ~ r2_hidden(X4,X0) )
& r2_hidden(X3,X1) )
| k2_relat_1(X2) = X1
| X1 = k1_xboole_0 ),
inference(ennf_transformation,[],[f1717]) ).
fof(f6927,plain,
! [X0,X1,X2] :
( ~ m2_relset_1(X2,X0,X1)
| ~ v1_funct_2(X2,X0,X1)
| ~ v1_funct_1(X2)
| ? [X3] :
( ! [X4] :
( k1_funct_1(X2,X4) != X3
| ~ r2_hidden(X4,X0) )
& r2_hidden(X3,X1) )
| k2_relat_1(X2) = X1
| X1 = k1_xboole_0 ),
inference(flattening,[],[f6926]) ).
fof(f6928,plain,
! [X0,X1,X2,X3] :
( ~ m2_relset_1(X3,X0,X1)
| ~ v1_funct_2(X3,X0,X1)
| ~ v1_funct_1(X3)
| ~ r2_hidden(X2,X0)
| r2_hidden(k1_funct_1(X3,X2),X1)
| X1 = k1_xboole_0 ),
inference(ennf_transformation,[],[f1707]) ).
fof(f6929,plain,
! [X0,X1,X2,X3] :
( ~ m2_relset_1(X3,X0,X1)
| ~ v1_funct_2(X3,X0,X1)
| ~ v1_funct_1(X3)
| ~ r2_hidden(X2,X0)
| r2_hidden(k1_funct_1(X3,X2),X1)
| X1 = k1_xboole_0 ),
inference(flattening,[],[f6928]) ).
fof(f6930,plain,
! [X0,X1,X2,X3] :
( ~ m2_relset_1(X3,X0,X1)
| ~ v1_funct_2(X3,X0,X1)
| ~ v1_funct_1(X3)
| ~ r2_hidden(X2,X0)
| r2_hidden(k1_funct_1(X3,X2),k2_relat_1(X3))
| X1 = k1_xboole_0 ),
inference(ennf_transformation,[],[f1706]) ).
fof(f6931,plain,
! [X0,X1,X2,X3] :
( ~ m2_relset_1(X3,X0,X1)
| ~ v1_funct_2(X3,X0,X1)
| ~ v1_funct_1(X3)
| ~ r2_hidden(X2,X0)
| r2_hidden(k1_funct_1(X3,X2),k2_relat_1(X3))
| X1 = k1_xboole_0 ),
inference(flattening,[],[f6930]) ).
fof(f6932,plain,
! [X0,X1,X2] :
( ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| ? [X3] :
( r2_hidden(X3,X0)
& ~ r2_hidden(k1_funct_1(X2,X3),X1) )
| k1_relat_1(X2) != X0
| ( m2_relset_1(X2,X0,X1)
& v1_funct_2(X2,X0,X1)
& v1_funct_1(X2) ) ),
inference(ennf_transformation,[],[f1705]) ).
fof(f6933,plain,
! [X0,X1,X2] :
( ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| ? [X3] :
( r2_hidden(X3,X0)
& ~ r2_hidden(k1_funct_1(X2,X3),X1) )
| k1_relat_1(X2) != X0
| ( m2_relset_1(X2,X0,X1)
& v1_funct_2(X2,X0,X1)
& v1_funct_1(X2) ) ),
inference(flattening,[],[f6932]) ).
fof(f6934,plain,
! [X0,X1] :
( ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ? [X2] :
( ! [X3] :
( k1_funct_1(X1,X3) != X2
| ~ r2_hidden(X3,k1_relat_1(X1)) )
& r2_hidden(X2,X0) )
| r1_tarski(X0,k2_relat_1(X1)) ),
inference(ennf_transformation,[],[f950]) ).
fof(f6935,plain,
! [X0,X1] :
( ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ? [X2] :
( ! [X3] :
( k1_funct_1(X1,X3) != X2
| ~ r2_hidden(X3,k1_relat_1(X1)) )
& r2_hidden(X2,X0) )
| r1_tarski(X0,k2_relat_1(X1)) ),
inference(flattening,[],[f6934]) ).
fof(f6938,plain,
! [X0] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ! [X1] :
( X1 = k2_relat_1(X0)
<=> ! [X2] :
( r2_hidden(X2,X1)
<=> ? [X3] :
( X2 = k1_funct_1(X0,X3)
& r2_hidden(X3,k1_relat_1(X0)) ) ) ) ),
inference(ennf_transformation,[],[f940]) ).
fof(f6939,plain,
! [X0] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ! [X1] :
( X1 = k2_relat_1(X0)
<=> ! [X2] :
( r2_hidden(X2,X1)
<=> ? [X3] :
( X2 = k1_funct_1(X0,X3)
& r2_hidden(X3,k1_relat_1(X0)) ) ) ) ),
inference(flattening,[],[f6938]) ).
fof(f6940,plain,
! [X0] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ! [X1] :
( ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ? [X2] :
( r2_hidden(X2,k1_relat_1(X0))
& k1_funct_1(X0,X2) != k1_funct_1(X1,X2) )
| k1_relat_1(X0) != k1_relat_1(X1)
| X0 = X1 ) ),
inference(ennf_transformation,[],[f939]) ).
fof(f6941,plain,
! [X0] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ! [X1] :
( ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ? [X2] :
( r2_hidden(X2,k1_relat_1(X0))
& k1_funct_1(X0,X2) != k1_funct_1(X1,X2) )
| k1_relat_1(X0) != k1_relat_1(X1)
| X0 = X1 ) ),
inference(flattening,[],[f6940]) ).
fof(f6942,plain,
! [X0,X1,X2] :
( ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| ( r2_hidden(k4_tarski(X0,X1),X2)
<=> ( X1 = k1_funct_1(X2,X0)
& r2_hidden(X0,k1_relat_1(X2)) ) ) ),
inference(ennf_transformation,[],[f938]) ).
fof(f6943,plain,
! [X0,X1,X2] :
( ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| ( r2_hidden(k4_tarski(X0,X1),X2)
<=> ( X1 = k1_funct_1(X2,X0)
& r2_hidden(X0,k1_relat_1(X2)) ) ) ),
inference(flattening,[],[f6942]) ).
fof(f6944,plain,
! [X0] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ! [X1,X2] :
( ( r2_hidden(X1,k1_relat_1(X0))
| ( X2 = k1_funct_1(X0,X1)
<=> X2 = k1_xboole_0 ) )
& ( ~ r2_hidden(X1,k1_relat_1(X0))
| ( X2 = k1_funct_1(X0,X1)
<=> r2_hidden(k4_tarski(X1,X2),X0) ) ) ) ),
inference(ennf_transformation,[],[f932]) ).
fof(f6945,plain,
! [X0] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ! [X1,X2] :
( ( r2_hidden(X1,k1_relat_1(X0))
| ( X2 = k1_funct_1(X0,X1)
<=> X2 = k1_xboole_0 ) )
& ( ~ r2_hidden(X1,k1_relat_1(X0))
| ( X2 = k1_funct_1(X0,X1)
<=> r2_hidden(k4_tarski(X1,X2),X0) ) ) ) ),
inference(flattening,[],[f6944]) ).
fof(f6946,plain,
! [X0,X1] :
( ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| k1_xboole_0 != k1_relat_1(X1)
| ( m2_relset_1(X1,k1_xboole_0,X0)
& v1_funct_2(X1,k1_xboole_0,X0)
& v1_funct_1(X1) ) ),
inference(ennf_transformation,[],[f1756]) ).
fof(f6947,plain,
! [X0,X1] :
( ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| k1_xboole_0 != k1_relat_1(X1)
| ( m2_relset_1(X1,k1_xboole_0,X0)
& v1_funct_2(X1,k1_xboole_0,X0)
& v1_funct_1(X1) ) ),
inference(flattening,[],[f6946]) ).
fof(f6948,plain,
! [X0,X1,X2] :
( ~ m2_relset_1(X2,X0,k1_xboole_0)
| ~ v1_funct_1(X2)
| ! [X3] :
( ~ m2_relset_1(X3,X1,k1_xboole_0)
| ~ v1_funct_1(X3)
| X2 = X3 ) ),
inference(ennf_transformation,[],[f1416]) ).
fof(f6949,plain,
! [X0,X1,X2] :
( ~ m2_relset_1(X2,X0,k1_xboole_0)
| ~ v1_funct_1(X2)
| ! [X3] :
( ~ m2_relset_1(X3,X1,k1_xboole_0)
| ~ v1_funct_1(X3)
| X2 = X3 ) ),
inference(flattening,[],[f6948]) ).
fof(f6950,plain,
! [X0,X1] :
( ~ m2_relset_1(X1,X0,k1_xboole_0)
| ~ v1_funct_1(X1)
| X1 = k1_xboole_0 ),
inference(ennf_transformation,[],[f1415]) ).
fof(f6951,plain,
! [X0,X1] :
( ~ m2_relset_1(X1,X0,k1_xboole_0)
| ~ v1_funct_1(X1)
| X1 = k1_xboole_0 ),
inference(flattening,[],[f6950]) ).
fof(f6952,plain,
! [X0,X1,X2] :
( ~ m2_relset_1(X2,k1_xboole_0,X0)
| ~ v1_funct_1(X2)
| ! [X3] :
( ~ m2_relset_1(X3,k1_xboole_0,X1)
| ~ v1_funct_1(X3)
| X2 = X3 ) ),
inference(ennf_transformation,[],[f1409]) ).
fof(f6953,plain,
! [X0,X1,X2] :
( ~ m2_relset_1(X2,k1_xboole_0,X0)
| ~ v1_funct_1(X2)
| ! [X3] :
( ~ m2_relset_1(X3,k1_xboole_0,X1)
| ~ v1_funct_1(X3)
| X2 = X3 ) ),
inference(flattening,[],[f6952]) ).
fof(f6954,plain,
! [X0,X1] :
( ~ m2_relset_1(X1,k1_xboole_0,X0)
| ~ v1_funct_1(X1)
| X1 = k1_xboole_0 ),
inference(ennf_transformation,[],[f1408]) ).
fof(f6955,plain,
! [X0,X1] :
( ~ m2_relset_1(X1,k1_xboole_0,X0)
| ~ v1_funct_1(X1)
| X1 = k1_xboole_0 ),
inference(flattening,[],[f6954]) ).
fof(f6956,plain,
! [X0,X1,X2] :
( ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| k1_xboole_0 != k1_relat_1(X2)
| ( m2_relset_1(X2,X0,X1)
& v1_funct_1(X2) ) ),
inference(ennf_transformation,[],[f1406]) ).
fof(f6957,plain,
! [X0,X1,X2] :
( ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| k1_xboole_0 != k1_relat_1(X2)
| ( m2_relset_1(X2,X0,X1)
& v1_funct_1(X2) ) ),
inference(flattening,[],[f6956]) ).
fof(f6958,plain,
! [X0,X1,X2] :
( ~ m2_relset_1(X2,X1,X0)
| ~ m2_relset_1(X2,X1,k1_xboole_0)
| X2 = k1_xboole_0 ),
inference(ennf_transformation,[],[f1285]) ).
fof(f6959,plain,
! [X0,X1,X2] :
( ~ m2_relset_1(X2,X1,X0)
| ~ m2_relset_1(X2,X1,k1_xboole_0)
| X2 = k1_xboole_0 ),
inference(flattening,[],[f6958]) ).
fof(f6960,plain,
! [X0,X1,X2] :
( ~ m2_relset_1(X2,X0,X1)
| ~ m2_relset_1(X2,k1_xboole_0,X1)
| X2 = k1_xboole_0 ),
inference(ennf_transformation,[],[f1284]) ).
fof(f6961,plain,
! [X0,X1,X2] :
( ~ m2_relset_1(X2,X0,X1)
| ~ m2_relset_1(X2,k1_xboole_0,X1)
| X2 = k1_xboole_0 ),
inference(flattening,[],[f6960]) ).
fof(f6962,plain,
! [X0] :
( ? [X1] :
( v1_funct_1(X1)
& v1_relat_1(X1)
& ? [X2] :
( v1_funct_1(X2)
& v1_relat_1(X2)
& k1_relat_1(X2) = X0
& k1_relat_1(X1) = X0
& X1 != X2 ) )
| X0 = k1_xboole_0 ),
inference(ennf_transformation,[],[f947]) ).
fof(f6963,plain,
! [X0] :
( ? [X1] :
( v1_funct_1(X1)
& v1_relat_1(X1)
& ? [X2] :
( v1_funct_1(X2)
& v1_relat_1(X2)
& k1_relat_1(X2) = X0
& k1_relat_1(X1) = X0
& X1 != X2 ) )
| X0 = k1_xboole_0 ),
inference(flattening,[],[f6962]) ).
fof(f6964,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ? [X2] :
( m1_subset_1(X2,X0)
& r2_hidden(X2,X1) )
| k1_xboole_0 = X1 ),
inference(ennf_transformation,[],[f492]) ).
fof(f6965,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ? [X2] :
( m1_subset_1(X2,X0)
& r2_hidden(X2,X1) )
| k1_xboole_0 = X1 ),
inference(flattening,[],[f6964]) ).
fof(f6966,plain,
! [X0,X1,X2,X3] :
( ~ m2_relset_1(X3,X0,X1)
| ~ v1_funct_2(X3,X0,X1)
| ~ v1_funct_1(X3)
| ~ r1_tarski(k2_relat_1(X3),X2)
| ( m2_relset_1(X3,X0,X2)
& v1_funct_2(X3,X0,X2)
& v1_funct_1(X3) )
| ( X0 != k1_xboole_0
& X1 = k1_xboole_0 ) ),
inference(ennf_transformation,[],[f1708]) ).
fof(f6967,plain,
! [X0,X1,X2,X3] :
( ~ m2_relset_1(X3,X0,X1)
| ~ v1_funct_2(X3,X0,X1)
| ~ v1_funct_1(X3)
| ~ r1_tarski(k2_relat_1(X3),X2)
| ( m2_relset_1(X3,X0,X2)
& v1_funct_2(X3,X0,X2)
& v1_funct_1(X3) )
| ( X0 != k1_xboole_0
& X1 = k1_xboole_0 ) ),
inference(flattening,[],[f6966]) ).
fof(f6968,plain,
! [X0,X1] :
( ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ~ r1_tarski(k2_relat_1(X1),X0)
| ( m2_relset_1(X1,k1_relat_1(X1),X0)
& v1_funct_2(X1,k1_relat_1(X1),X0)
& v1_funct_1(X1) ) ),
inference(ennf_transformation,[],[f1704]) ).
fof(f6969,plain,
! [X0,X1] :
( ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ~ r1_tarski(k2_relat_1(X1),X0)
| ( m2_relset_1(X1,k1_relat_1(X1),X0)
& v1_funct_2(X1,k1_relat_1(X1),X0)
& v1_funct_1(X1) ) ),
inference(flattening,[],[f6968]) ).
fof(f6970,plain,
! [X0] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ( m2_relset_1(X0,k1_relat_1(X0),k2_relat_1(X0))
& v1_funct_2(X0,k1_relat_1(X0),k2_relat_1(X0))
& v1_funct_1(X0) ) ),
inference(ennf_transformation,[],[f1703]) ).
fof(f6971,plain,
! [X0] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ( m2_relset_1(X0,k1_relat_1(X0),k2_relat_1(X0))
& v1_funct_2(X0,k1_relat_1(X0),k2_relat_1(X0))
& v1_funct_1(X0) ) ),
inference(flattening,[],[f6970]) ).
fof(f6972,plain,
! [X0,X1,X2] :
( ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| k1_xboole_0 != k2_relat_1(X2)
| ( m2_relset_1(X2,X0,X1)
& v1_funct_1(X2) ) ),
inference(ennf_transformation,[],[f1414]) ).
fof(f6973,plain,
! [X0,X1,X2] :
( ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| k1_xboole_0 != k2_relat_1(X2)
| ( m2_relset_1(X2,X0,X1)
& v1_funct_1(X2) ) ),
inference(flattening,[],[f6972]) ).
fof(f6978,plain,
! [X0] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ( m2_relset_1(X0,k1_relat_1(X0),k2_relat_1(X0))
& v1_funct_1(X0) ) ),
inference(ennf_transformation,[],[f1375]) ).
fof(f6979,plain,
! [X0] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ( m2_relset_1(X0,k1_relat_1(X0),k2_relat_1(X0))
& v1_funct_1(X0) ) ),
inference(flattening,[],[f6978]) ).
fof(f6980,plain,
! [X0,X1,X2,X3] :
( ~ m2_relset_1(X3,X2,X0)
| ~ r1_tarski(k2_relat_1(X3),X1)
| m2_relset_1(X3,X2,X1) ),
inference(ennf_transformation,[],[f1272]) ).
fof(f6981,plain,
! [X0,X1,X2,X3] :
( ~ m2_relset_1(X3,X2,X0)
| ~ r1_tarski(k2_relat_1(X3),X1)
| m2_relset_1(X3,X2,X1) ),
inference(flattening,[],[f6980]) ).
fof(f6982,plain,
! [X0,X1,X2] :
( ~ m2_relset_1(X2,X0,X1)
| ( r1_tarski(k2_relat_1(X2),X1)
& r1_tarski(k1_relat_1(X2),X0) ) ),
inference(ennf_transformation,[],[f1270]) ).
fof(f6983,plain,
! [X0,X1,X2] :
( ~ v1_relat_1(X2)
| ~ r1_tarski(k2_relat_1(X2),X1)
| ~ r1_tarski(k1_relat_1(X2),X0)
| m2_relset_1(X2,X0,X1) ),
inference(ennf_transformation,[],[f1269]) ).
fof(f6984,plain,
! [X0,X1,X2] :
( ~ v1_relat_1(X2)
| ~ r1_tarski(k2_relat_1(X2),X1)
| ~ r1_tarski(k1_relat_1(X2),X0)
| m2_relset_1(X2,X0,X1) ),
inference(flattening,[],[f6983]) ).
fof(f6985,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| ~ r1_tarski(k2_relat_1(X1),X0)
| m2_relset_1(X1,k1_relat_1(X1),X0) ),
inference(ennf_transformation,[],[f1268]) ).
fof(f6986,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| ~ r1_tarski(k2_relat_1(X1),X0)
| m2_relset_1(X1,k1_relat_1(X1),X0) ),
inference(flattening,[],[f6985]) ).
fof(f6987,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| ~ r1_tarski(k1_relat_1(X1),X0)
| m2_relset_1(X1,X0,k2_relat_1(X1)) ),
inference(ennf_transformation,[],[f1267]) ).
fof(f6988,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| ~ r1_tarski(k1_relat_1(X1),X0)
| m2_relset_1(X1,X0,k2_relat_1(X1)) ),
inference(flattening,[],[f6987]) ).
fof(f6989,plain,
! [X0,X1] :
( ? [X2] :
( v1_funct_1(X2)
& v1_relat_1(X2)
& r1_tarski(k2_relat_1(X2),X0)
& X1 = k1_relat_1(X2) )
| ( X1 != k1_xboole_0
& X0 = k1_xboole_0 ) ),
inference(ennf_transformation,[],[f949]) ).
fof(f6990,plain,
! [X0,X1] :
( ? [X2] :
( v1_funct_1(X2)
& v1_relat_1(X2)
& r1_tarski(k2_relat_1(X2),X0)
& X1 = k1_relat_1(X2) )
| ( X1 != k1_xboole_0
& X0 = k1_xboole_0 ) ),
inference(flattening,[],[f6989]) ).
fof(f6991,plain,
! [X0] :
( ~ v1_relat_1(X0)
| ( k1_relat_1(X0) = k1_xboole_0
<=> k2_relat_1(X0) = k1_xboole_0 ) ),
inference(ennf_transformation,[],[f769]) ).
fof(f6992,plain,
! [X0] :
( ~ v1_relat_1(X0)
| ( k1_xboole_0 != k2_relat_1(X0)
& k1_xboole_0 != k1_relat_1(X0) )
| X0 = k1_xboole_0 ),
inference(ennf_transformation,[],[f768]) ).
fof(f6993,plain,
! [X0] :
( ~ v1_relat_1(X0)
| ( k1_xboole_0 != k2_relat_1(X0)
& k1_xboole_0 != k1_relat_1(X0) )
| X0 = k1_xboole_0 ),
inference(flattening,[],[f6992]) ).
fof(f6994,plain,
! [X0] :
( ~ v1_relat_1(X0)
| ! [X1] :
( ~ v1_relat_1(X1)
| r1_tarski(k4_xboole_0(k2_relat_1(X0),k2_relat_1(X1)),k2_relat_1(k4_xboole_0(X0,X1))) ) ),
inference(ennf_transformation,[],[f729]) ).
fof(f6995,plain,
! [X0] :
( ~ v1_relat_1(X0)
| ! [X1] :
( ~ v1_relat_1(X1)
| ~ r1_tarski(X0,X1)
| ( r1_tarski(k2_relat_1(X0),k2_relat_1(X1))
& r1_tarski(k1_relat_1(X0),k1_relat_1(X1)) ) ) ),
inference(ennf_transformation,[],[f726]) ).
fof(f6996,plain,
! [X0] :
( ~ v1_relat_1(X0)
| ! [X1] :
( ~ v1_relat_1(X1)
| ~ r1_tarski(X0,X1)
| ( r1_tarski(k2_relat_1(X0),k2_relat_1(X1))
& r1_tarski(k1_relat_1(X0),k1_relat_1(X1)) ) ) ),
inference(flattening,[],[f6995]) ).
fof(f6997,plain,
! [X0] :
( ~ v1_relat_1(X0)
| r1_tarski(X0,k2_zfmisc_1(k1_relat_1(X0),k2_relat_1(X0))) ),
inference(ennf_transformation,[],[f722]) ).
fof(f6998,plain,
! [X0,X1,X2] :
( ~ v1_relat_1(X2)
| ~ r2_hidden(k4_tarski(X0,X1),X2)
| ( r2_hidden(X1,k2_relat_1(X2))
& r2_hidden(X0,k1_relat_1(X2)) ) ),
inference(ennf_transformation,[],[f721]) ).
fof(f6999,plain,
! [X0,X1,X2] :
( ~ v1_relat_1(X2)
| ~ r2_hidden(k4_tarski(X0,X1),X2)
| ( r2_hidden(X1,k2_relat_1(X2))
& r2_hidden(X0,k1_relat_1(X2)) ) ),
inference(flattening,[],[f6998]) ).
fof(f7000,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| ? [X2] : r2_hidden(X2,k1_relat_1(X1))
| ~ r2_hidden(X0,k2_relat_1(X1)) ),
inference(ennf_transformation,[],[f720]) ).
fof(f7001,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| ? [X2] : r2_hidden(X2,k1_relat_1(X1))
| ~ r2_hidden(X0,k2_relat_1(X1)) ),
inference(flattening,[],[f7000]) ).
fof(f7002,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| ? [X2] : r2_hidden(X2,k2_relat_1(X1))
| ~ r2_hidden(X0,k1_relat_1(X1)) ),
inference(ennf_transformation,[],[f719]) ).
fof(f7003,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| ? [X2] : r2_hidden(X2,k2_relat_1(X1))
| ~ r2_hidden(X0,k1_relat_1(X1)) ),
inference(flattening,[],[f7002]) ).
fof(f7004,plain,
! [X0] :
( ~ v1_relat_1(X0)
| ! [X1] :
( X1 = k2_relat_1(X0)
<=> ! [X2] :
( r2_hidden(X2,X1)
<=> ? [X3] : r2_hidden(k4_tarski(X3,X2),X0) ) ) ),
inference(ennf_transformation,[],[f716]) ).
fof(f7005,plain,
! [X0] :
( ~ v1_xboole_0(X0)
| ( v1_relat_1(k2_relat_1(X0))
& v1_xboole_0(k2_relat_1(X0)) ) ),
inference(ennf_transformation,[],[f690]) ).
fof(f7006,plain,
! [X0] :
( ~ v1_relat_1(X0)
| v1_xboole_0(X0)
| ~ v1_xboole_0(k2_relat_1(X0)) ),
inference(ennf_transformation,[],[f688]) ).
fof(f7007,plain,
! [X0] :
( ~ v1_relat_1(X0)
| v1_xboole_0(X0)
| ~ v1_xboole_0(k2_relat_1(X0)) ),
inference(flattening,[],[f7006]) ).
fof(f7008,plain,
! [X0,X1,X2,X3] :
( ~ m2_relset_1(X3,X0,X2)
| ~ r1_tarski(k1_relat_1(X3),X1)
| m2_relset_1(X3,X1,X2) ),
inference(ennf_transformation,[],[f1271]) ).
fof(f7009,plain,
! [X0,X1,X2,X3] :
( ~ m2_relset_1(X3,X0,X2)
| ~ r1_tarski(k1_relat_1(X3),X1)
| m2_relset_1(X3,X1,X2) ),
inference(flattening,[],[f7008]) ).
fof(f7010,plain,
! [X0] :
( ~ v1_xboole_0(X0)
| ( v1_relat_1(k1_relat_1(X0))
& v1_xboole_0(k1_relat_1(X0)) ) ),
inference(ennf_transformation,[],[f689]) ).
fof(f7011,plain,
! [X0] :
( ~ v1_relat_1(X0)
| v1_xboole_0(X0)
| ~ v1_xboole_0(k1_relat_1(X0)) ),
inference(ennf_transformation,[],[f687]) ).
fof(f7012,plain,
! [X0] :
( ~ v1_relat_1(X0)
| v1_xboole_0(X0)
| ~ v1_xboole_0(k1_relat_1(X0)) ),
inference(flattening,[],[f7011]) ).
fof(f7013,plain,
! [X0,X1,X2,X3] :
( ? [X4] :
( m1_subset_1(X4,X0)
& ? [X5] :
( m1_subset_1(X5,X1)
& k4_tarski(X4,X5) = X3 ) )
| ~ r1_tarski(X2,k2_zfmisc_1(X0,X1))
| ~ r2_hidden(X3,X2) ),
inference(ennf_transformation,[],[f6002]) ).
fof(f7014,plain,
! [X0] :
( ? [X4,X5] : r1_tarski(X0,k2_zfmisc_1(X4,X5))
| ? [X1] :
( ! [X2,X3] : X1 != k4_tarski(X2,X3)
& r2_hidden(X1,X0) ) ),
inference(ennf_transformation,[],[f6476]) ).
fof(f7015,plain,
! [X0] :
( ? [X1] :
( ! [X2,X3] :
( k4_tarski(X2,X3) != X1
| ( ~ r2_hidden(X3,X0)
& ~ r2_hidden(X2,X0) ) )
& r2_hidden(X1,X0) )
| k1_xboole_0 = X0 ),
inference(ennf_transformation,[],[f1571]) ).
fof(f7016,plain,
! [X0,X1,X2,X3] :
( ~ m2_relset_1(X3,X0,X1)
| ? [X4,X5] :
( r2_hidden(X5,X1)
& r2_hidden(X4,X0)
& X2 = k4_tarski(X4,X5) )
| ~ r2_hidden(X2,X3) ),
inference(ennf_transformation,[],[f1264]) ).
fof(f7017,plain,
! [X0,X1,X2,X3] :
( ~ m2_relset_1(X3,X0,X1)
| ? [X4,X5] :
( r2_hidden(X5,X1)
& r2_hidden(X4,X0)
& X2 = k4_tarski(X4,X5) )
| ~ r2_hidden(X2,X3) ),
inference(flattening,[],[f7016]) ).
fof(f7018,plain,
! [X0] :
( ? [X4,X5,X6] :
( r2_hidden(k4_tarski(X4,X6),X0)
& r2_hidden(k4_tarski(X4,X5),X0)
& X5 != X6 )
| ? [X1] :
( ! [X2,X3] : k4_tarski(X2,X3) != X1
& r2_hidden(X1,X0) )
| ( v1_funct_1(X0)
& v1_relat_1(X0) ) ),
inference(ennf_transformation,[],[f6477]) ).
fof(f7019,plain,
! [X0] :
( ? [X4,X5,X6] :
( r2_hidden(k4_tarski(X4,X6),X0)
& r2_hidden(k4_tarski(X4,X5),X0)
& X5 != X6 )
| ? [X1] :
( ! [X2,X3] : k4_tarski(X2,X3) != X1
& r2_hidden(X1,X0) )
| ( v1_funct_1(X0)
& v1_relat_1(X0) ) ),
inference(flattening,[],[f7018]) ).
fof(f7020,plain,
! [X0] :
( v1_funct_1(X0)
<=> ! [X1,X2,X3] :
( ~ r2_hidden(k4_tarski(X1,X3),X0)
| ~ r2_hidden(k4_tarski(X1,X2),X0)
| X2 = X3 ) ),
inference(ennf_transformation,[],[f927]) ).
fof(f7021,plain,
! [X0] :
( v1_funct_1(X0)
<=> ! [X1,X2,X3] :
( ~ r2_hidden(k4_tarski(X1,X3),X0)
| ~ r2_hidden(k4_tarski(X1,X2),X0)
| X2 = X3 ) ),
inference(flattening,[],[f7020]) ).
fof(f7022,plain,
! [X0] :
( ~ v1_relat_1(X0)
| ? [X1,X2] : r2_hidden(k4_tarski(X1,X2),X0)
| X0 = k1_xboole_0 ),
inference(ennf_transformation,[],[f760]) ).
fof(f7023,plain,
! [X0] :
( ~ v1_relat_1(X0)
| ? [X1,X2] : r2_hidden(k4_tarski(X1,X2),X0)
| X0 = k1_xboole_0 ),
inference(flattening,[],[f7022]) ).
fof(f7024,plain,
! [X0] :
( ~ v1_relat_1(X0)
| ! [X1] :
( X1 = k1_relat_1(X0)
<=> ! [X2] :
( r2_hidden(X2,X1)
<=> ? [X3] : r2_hidden(k4_tarski(X2,X3),X0) ) ) ),
inference(ennf_transformation,[],[f710]) ).
fof(f7025,plain,
! [X0] :
( ~ v1_relat_1(X0)
| ! [X1] :
( ~ v1_relat_1(X1)
| ( r1_tarski(X0,X1)
<=> ! [X2,X3] :
( ~ r2_hidden(k4_tarski(X2,X3),X0)
| r2_hidden(k4_tarski(X2,X3),X1) ) ) ) ),
inference(ennf_transformation,[],[f705]) ).
fof(f7026,plain,
! [X0] :
( ~ v1_relat_1(X0)
| ! [X1] :
( ~ v1_relat_1(X1)
| ( X0 = X1
<=> ! [X2,X3] :
( r2_hidden(k4_tarski(X2,X3),X0)
<=> r2_hidden(k4_tarski(X2,X3),X1) ) ) ) ),
inference(ennf_transformation,[],[f704]) ).
fof(f7027,plain,
! [X0] :
( v1_relat_1(X0)
<=> ! [X1] :
( ? [X2,X3] : k4_tarski(X2,X3) = X1
| ~ r2_hidden(X1,X0) ) ),
inference(ennf_transformation,[],[f697]) ).
fof(f7028,plain,
! [X0,X1] :
( ? [X8,X9] :
( r2_hidden(k4_tarski(X8,X9),X0)
<~> r2_hidden(k4_tarski(X8,X9),X1) )
| ? [X5] :
( ! [X6,X7] : k4_tarski(X6,X7) != X5
& r2_hidden(X5,X1) )
| ? [X2] :
( ! [X3,X4] : X2 != k4_tarski(X3,X4)
& r2_hidden(X2,X0) )
| X0 = X1 ),
inference(ennf_transformation,[],[f6478]) ).
fof(f7029,plain,
! [X0,X1] :
( ? [X8,X9] :
( r2_hidden(k4_tarski(X8,X9),X0)
<~> r2_hidden(k4_tarski(X8,X9),X1) )
| ? [X5] :
( ! [X6,X7] : k4_tarski(X6,X7) != X5
& r2_hidden(X5,X1) )
| ? [X2] :
( ! [X3,X4] : X2 != k4_tarski(X3,X4)
& r2_hidden(X2,X0) )
| X0 = X1 ),
inference(flattening,[],[f7028]) ).
fof(f7030,plain,
! [X0,X1] :
( ? [X5,X6] :
( r2_hidden(k4_tarski(X5,X6),X0)
& ~ r2_hidden(k4_tarski(X5,X6),X1) )
| ? [X2] :
( ! [X3,X4] : X2 != k4_tarski(X3,X4)
& r2_hidden(X2,X0) )
| r1_tarski(X0,X1) ),
inference(ennf_transformation,[],[f6479]) ).
fof(f7031,plain,
! [X0,X1] :
( ? [X5,X6] :
( r2_hidden(k4_tarski(X5,X6),X0)
& ~ r2_hidden(k4_tarski(X5,X6),X1) )
| ? [X2] :
( ! [X3,X4] : X2 != k4_tarski(X3,X4)
& r2_hidden(X2,X0) )
| r1_tarski(X0,X1) ),
inference(flattening,[],[f7030]) ).
fof(f7032,plain,
! [X0,X1,X2,X3,X4,X5] :
( ? [X6,X7] :
( r2_hidden(k4_tarski(X6,X7),X0)
<~> r2_hidden(k4_tarski(X6,X7),X3) )
| ~ r1_tarski(X3,k2_zfmisc_1(X4,X5))
| ~ r1_tarski(X0,k2_zfmisc_1(X1,X2))
| X0 = X3 ),
inference(ennf_transformation,[],[f435]) ).
fof(f7033,plain,
! [X0,X1,X2,X3,X4,X5] :
( ? [X6,X7] :
( r2_hidden(k4_tarski(X6,X7),X0)
<~> r2_hidden(k4_tarski(X6,X7),X3) )
| ~ r1_tarski(X3,k2_zfmisc_1(X4,X5))
| ~ r1_tarski(X0,k2_zfmisc_1(X1,X2))
| X0 = X3 ),
inference(flattening,[],[f7032]) ).
fof(f7034,plain,
! [X0,X1,X2,X3] :
( ? [X4,X5] :
( r2_hidden(k4_tarski(X4,X5),X0)
& ~ r2_hidden(k4_tarski(X4,X5),X3) )
| ~ r1_tarski(X0,k2_zfmisc_1(X1,X2))
| r1_tarski(X0,X3) ),
inference(ennf_transformation,[],[f434]) ).
fof(f7035,plain,
! [X0,X1,X2,X3] :
( ? [X4,X5] :
( r2_hidden(k4_tarski(X4,X5),X0)
& ~ r2_hidden(k4_tarski(X4,X5),X3) )
| ~ r1_tarski(X0,k2_zfmisc_1(X1,X2))
| r1_tarski(X0,X3) ),
inference(flattening,[],[f7034]) ).
fof(f7036,plain,
! [X0,X1,X2,X3] :
( ? [X4,X5] :
( r2_hidden(k4_tarski(X4,X5),k2_zfmisc_1(X0,X1))
<~> r2_hidden(k4_tarski(X4,X5),k2_zfmisc_1(X2,X3)) )
| k2_zfmisc_1(X0,X1) = k2_zfmisc_1(X2,X3) ),
inference(ennf_transformation,[],[f433]) ).
fof(f7037,plain,
! [X0,X1,X2,X3] :
( ~ r2_hidden(k4_tarski(X0,X1),k2_zfmisc_1(X2,X3))
| r2_hidden(k4_tarski(X1,X0),k2_zfmisc_1(X3,X2)) ),
inference(ennf_transformation,[],[f432]) ).
fof(f7038,plain,
! [X0,X1,X2,X3] :
( ? [X4,X5] :
( X3 = k4_tarski(X4,X5)
& r2_hidden(X5,X2)
& r2_hidden(X4,X1) )
| ~ r2_hidden(X3,X0)
| ~ r1_tarski(X0,k2_zfmisc_1(X1,X2)) ),
inference(ennf_transformation,[],[f428]) ).
fof(f7039,plain,
! [X0,X1,X2] :
( ? [X3,X4] : k4_tarski(X3,X4) = X0
| ~ r2_hidden(X0,k2_zfmisc_1(X1,X2)) ),
inference(ennf_transformation,[],[f427]) ).
fof(f7040,plain,
! [X0,X1,X2,X3] :
( k4_tarski(X0,X1) != k4_tarski(X2,X3)
| ( X1 = X3
& X0 = X2 ) ),
inference(ennf_transformation,[],[f358]) ).
fof(f7041,plain,
! [X0,X1,X2] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r2_hidden(X0,X1)
| m1_subset_1(X0,X2) ),
inference(ennf_transformation,[],[f678]) ).
fof(f7042,plain,
! [X0,X1,X2] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r2_hidden(X0,X1)
| m1_subset_1(X0,X2) ),
inference(flattening,[],[f7041]) ).
fof(f7043,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(X0)))
| ! [X2] :
( ~ m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(X0)))
| ? [X3] :
( m1_subset_1(X3,k1_zfmisc_1(X0))
& ( r2_hidden(X3,X1)
<~> r2_hidden(X3,X2) ) )
| X1 = X2 ) ),
inference(ennf_transformation,[],[f639]) ).
fof(f7044,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(X0)))
| ! [X2] :
( ~ m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(X0)))
| ? [X3] :
( m1_subset_1(X3,k1_zfmisc_1(X0))
& ( r2_hidden(X3,X1)
<~> r2_hidden(X3,X2) ) )
| X1 = X2 ) ),
inference(flattening,[],[f7043]) ).
fof(f7045,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ? [X2] :
( m1_subset_1(X2,X0)
& ~ r2_hidden(X2,X1) )
| X0 = X1 ),
inference(ennf_transformation,[],[f532]) ).
fof(f7046,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ? [X2] :
( m1_subset_1(X2,X0)
& ~ r2_hidden(X2,X1) )
| X0 = X1 ),
inference(flattening,[],[f7045]) ).
fof(f7047,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ! [X2] :
( ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ? [X3] :
( m1_subset_1(X3,X0)
& ( r2_hidden(X3,X1)
<~> r2_hidden(X3,X2) ) )
| X1 = X2 ) ),
inference(ennf_transformation,[],[f490]) ).
fof(f7048,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ! [X2] :
( ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ? [X3] :
( m1_subset_1(X3,X0)
& ( r2_hidden(X3,X1)
<~> r2_hidden(X3,X2) ) )
| X1 = X2 ) ),
inference(flattening,[],[f7047]) ).
fof(f7049,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ( r1_filter_1(X0,X1)
<=> ? [X2] :
( v3_lattice4(X2,X0,X1)
& m1_lattice4(X2,X0,X1) ) ) ) ),
inference(ennf_transformation,[],[f6319]) ).
fof(f7050,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ( r1_filter_1(X0,X1)
<=> ? [X2] :
( v3_lattice4(X2,X0,X1)
& m1_lattice4(X2,X0,X1) ) ) ) ),
inference(flattening,[],[f7049]) ).
fof(f7051,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ! [X2] :
( ~ m1_lattice4(X2,X0,X1)
| ( v3_lattice4(X2,X0,X1)
<=> ( v2_lattice4(X2,X0,X1)
& v1_lattice4(X2,X0,X1) ) ) ) ) ),
inference(ennf_transformation,[],[f6318]) ).
fof(f7052,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ! [X2] :
( ~ m1_lattice4(X2,X0,X1)
| ( v3_lattice4(X2,X0,X1)
<=> ( v2_lattice4(X2,X0,X1)
& v1_lattice4(X2,X0,X1) ) ) ) ) ),
inference(flattening,[],[f7051]) ).
fof(f7053,plain,
! [X0] :
( ~ l3_lattices(X0)
| v3_realset2(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| k13_lopclset(X0) = k8_lopclset(X0) ),
inference(ennf_transformation,[],[f6407]) ).
fof(f7054,plain,
! [X0] :
( ~ l3_lattices(X0)
| v3_realset2(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| k13_lopclset(X0) = k8_lopclset(X0) ),
inference(flattening,[],[f7053]) ).
fof(f7055,plain,
! [X0] :
( ~ l3_lattices(X0)
| v3_realset2(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| k10_lopclset(X0) = k1_lopclset(k11_lopclset(X0)) ),
inference(ennf_transformation,[],[f6464]) ).
fof(f7056,plain,
! [X0] :
( ~ l3_lattices(X0)
| v3_realset2(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| k10_lopclset(X0) = k1_lopclset(k11_lopclset(X0)) ),
inference(flattening,[],[f7055]) ).
fof(f7057,plain,
! [X0] :
( ~ l3_lattices(X0)
| v3_realset2(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| r1_tarski(k10_lopclset(X0),k1_lopclset(k11_lopclset(X0))) ),
inference(ennf_transformation,[],[f6462]) ).
fof(f7058,plain,
! [X0] :
( ~ l3_lattices(X0)
| v3_realset2(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| r1_tarski(k10_lopclset(X0),k1_lopclset(k11_lopclset(X0))) ),
inference(flattening,[],[f7057]) ).
fof(f7059,plain,
! [X0] :
( ~ l3_lattices(X0)
| v3_realset2(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(k11_lopclset(X0))))
| ~ r2_hidden(X1,k10_lopclset(X0))
| v3_pre_topc(X1,k11_lopclset(X0)) ) ),
inference(ennf_transformation,[],[f6450]) ).
fof(f7060,plain,
! [X0] :
( ~ l3_lattices(X0)
| v3_realset2(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(k11_lopclset(X0))))
| ~ r2_hidden(X1,k10_lopclset(X0))
| v3_pre_topc(X1,k11_lopclset(X0)) ) ),
inference(flattening,[],[f7059]) ).
fof(f7061,plain,
! [X0] :
( ~ l3_lattices(X0)
| v3_realset2(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ( v2_pre_topc(k11_lopclset(X0))
& ~ v3_struct_0(k11_lopclset(X0)) ) ),
inference(ennf_transformation,[],[f6537]) ).
fof(f7062,plain,
! [X0] :
( ~ l3_lattices(X0)
| v3_realset2(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ( v2_pre_topc(k11_lopclset(X0))
& ~ v3_struct_0(k11_lopclset(X0)) ) ),
inference(flattening,[],[f7061]) ).
fof(f7063,plain,
! [X0] :
( ~ l3_lattices(X0)
| v3_realset2(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ( l1_pre_topc(k11_lopclset(X0))
& v2_pre_topc(k11_lopclset(X0)) ) ),
inference(ennf_transformation,[],[f6534]) ).
fof(f7064,plain,
! [X0] :
( ~ l3_lattices(X0)
| v3_realset2(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ( l1_pre_topc(k11_lopclset(X0))
& v2_pre_topc(k11_lopclset(X0)) ) ),
inference(flattening,[],[f7063]) ).
fof(f7065,plain,
! [X0,X1] :
( ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ? [X2] : m1_lattice4(X2,X0,X1) ),
inference(ennf_transformation,[],[f6372]) ).
fof(f7066,plain,
! [X0,X1] :
( ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ? [X2] : m1_lattice4(X2,X0,X1) ),
inference(flattening,[],[f7065]) ).
fof(f7067,plain,
! [X0,X1] :
( ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X2] :
( ~ m1_lattice4(X2,X0,X1)
| ( m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_1(X2) ) ) ),
inference(ennf_transformation,[],[f6371]) ).
fof(f7068,plain,
! [X0,X1] :
( ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X2] :
( ~ m1_lattice4(X2,X0,X1)
| ( m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_1(X2) ) ) ),
inference(flattening,[],[f7067]) ).
fof(f7069,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v16_lattices(X0)
| ~ v15_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ l3_lattices(X1)
| ~ v3_filter_0(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ! [X2] :
( ~ m1_lattice4(X2,X1,X0)
| ! [X3] :
( ~ m1_subset_1(X3,u1_struct_0(X1))
| ! [X4] :
( ~ m1_subset_1(X4,u1_struct_0(X1))
| r3_lattices(X0,k4_lattices(X0,k8_funct_2(u1_struct_0(X1),u1_struct_0(X0),X2,X3),k8_funct_2(u1_struct_0(X1),u1_struct_0(X0),X2,k4_filter_0(X1,X3,X4))),k8_funct_2(u1_struct_0(X1),u1_struct_0(X0),X2,X4)) ) ) ) ) ),
inference(ennf_transformation,[],[f6351]) ).
fof(f7070,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v16_lattices(X0)
| ~ v15_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ l3_lattices(X1)
| ~ v3_filter_0(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ! [X2] :
( ~ m1_lattice4(X2,X1,X0)
| ! [X3] :
( ~ m1_subset_1(X3,u1_struct_0(X1))
| ! [X4] :
( ~ m1_subset_1(X4,u1_struct_0(X1))
| r3_lattices(X0,k4_lattices(X0,k8_funct_2(u1_struct_0(X1),u1_struct_0(X0),X2,X3),k8_funct_2(u1_struct_0(X1),u1_struct_0(X0),X2,k4_filter_0(X1,X3,X4))),k8_funct_2(u1_struct_0(X1),u1_struct_0(X0),X2,X4)) ) ) ) ) ),
inference(flattening,[],[f7069]) ).
fof(f7071,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| ! [X3] :
( ~ m1_subset_1(X3,u1_struct_0(X0))
| ! [X4] :
( ~ m1_lattice4(X4,X0,X1)
| ~ r3_lattices(X0,X2,X3)
| r3_lattices(X1,k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X4,X2),k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X4,X3)) ) ) ) ) ),
inference(ennf_transformation,[],[f6313]) ).
fof(f7072,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| ! [X3] :
( ~ m1_subset_1(X3,u1_struct_0(X0))
| ! [X4] :
( ~ m1_lattice4(X4,X0,X1)
| ~ r3_lattices(X0,X2,X3)
| r3_lattices(X1,k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X4,X2),k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X4,X3)) ) ) ) ) ),
inference(flattening,[],[f7071]) ).
fof(f7073,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ! [X2] :
( ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X2)
| ( m1_lattice4(X2,X0,X1)
<=> ! [X3] :
( ~ m1_subset_1(X3,u1_struct_0(X0))
| ! [X4] :
( ~ m1_subset_1(X4,u1_struct_0(X0))
| ( k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,k4_lattices(X0,X3,X4)) = k4_lattices(X1,k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,X3),k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,X4))
& k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,k3_lattices(X0,X3,X4)) = k3_lattices(X1,k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,X3),k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,X4)) ) ) ) ) ) ) ),
inference(ennf_transformation,[],[f6312]) ).
fof(f7074,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ! [X2] :
( ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X2)
| ( m1_lattice4(X2,X0,X1)
<=> ! [X3] :
( ~ m1_subset_1(X3,u1_struct_0(X0))
| ! [X4] :
( ~ m1_subset_1(X4,u1_struct_0(X0))
| ( k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,k4_lattices(X0,X3,X4)) = k4_lattices(X1,k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,X3),k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,X4))
& k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,k3_lattices(X0,X3,X4)) = k3_lattices(X1,k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,X3),k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,X4)) ) ) ) ) ) ) ),
inference(flattening,[],[f7073]) ).
fof(f7075,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ? [X1] : m1_filter_0(X1,X0) ),
inference(ennf_transformation,[],[f5584]) ).
fof(f7076,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ? [X1] : m1_filter_0(X1,X0) ),
inference(flattening,[],[f7075]) ).
fof(f7077,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_filter_0(X1,X0)
| ( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
& ~ v1_xboole_0(X1) ) ) ),
inference(ennf_transformation,[],[f5583]) ).
fof(f7078,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_filter_0(X1,X0)
| ( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
& ~ v1_xboole_0(X1) ) ) ),
inference(flattening,[],[f7077]) ).
fof(f7079,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| m1_filter_0(u1_struct_0(X0),X0) ),
inference(ennf_transformation,[],[f5498]) ).
fof(f7080,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| m1_filter_0(u1_struct_0(X0),X0) ),
inference(flattening,[],[f7079]) ).
fof(f7081,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_filter_0(X1,X0)
| ? [X2] :
( r2_hidden(X2,X1)
& m1_subset_1(X2,u1_struct_0(X0)) ) ) ),
inference(ennf_transformation,[],[f5494]) ).
fof(f7082,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_filter_0(X1,X0)
| ? [X2] :
( r2_hidden(X2,X1)
& m1_subset_1(X2,u1_struct_0(X0)) ) ) ),
inference(flattening,[],[f7081]) ).
fof(f7083,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v3_filter_0(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| v14_lattices(X0) ),
inference(ennf_transformation,[],[f5526]) ).
fof(f7084,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v3_filter_0(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| v14_lattices(X0) ),
inference(flattening,[],[f7083]) ).
fof(f7085,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ( ( l3_lattices(X1)
& v16_lattices(X1)
& v15_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1)
& l3_lattices(X0)
& v16_lattices(X0)
& v15_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
<=> ( l3_lattices(k8_filter_1(X0,X1))
& v16_lattices(k8_filter_1(X0,X1))
& v15_lattices(k8_filter_1(X0,X1))
& v10_lattices(k8_filter_1(X0,X1))
& ~ v3_struct_0(k8_filter_1(X0,X1)) ) ) ) ),
inference(ennf_transformation,[],[f5771]) ).
fof(f7086,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ( ( l3_lattices(X1)
& v16_lattices(X1)
& v15_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1)
& l3_lattices(X0)
& v16_lattices(X0)
& v15_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
<=> ( l3_lattices(k8_filter_1(X0,X1))
& v16_lattices(k8_filter_1(X0,X1))
& v15_lattices(k8_filter_1(X0,X1))
& v10_lattices(k8_filter_1(X0,X1))
& ~ v3_struct_0(k8_filter_1(X0,X1)) ) ) ) ),
inference(flattening,[],[f7085]) ).
fof(f7087,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| ~ v6_group_1(X0)
| v3_struct_0(X0)
| ( v15_lattices(X0)
& v14_lattices(X0)
& v13_lattices(X0)
& v10_lattices(X0)
& v9_lattices(X0)
& v8_lattices(X0)
& v7_lattices(X0)
& v6_lattices(X0)
& v5_lattices(X0)
& v4_lattices(X0)
& ~ v3_struct_0(X0) ) ),
inference(ennf_transformation,[],[f5619]) ).
fof(f7088,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| ~ v6_group_1(X0)
| v3_struct_0(X0)
| ( v15_lattices(X0)
& v14_lattices(X0)
& v13_lattices(X0)
& v10_lattices(X0)
& v9_lattices(X0)
& v8_lattices(X0)
& v7_lattices(X0)
& v6_lattices(X0)
& v5_lattices(X0)
& v4_lattices(X0)
& ~ v3_struct_0(X0) ) ),
inference(flattening,[],[f7087]) ).
fof(f7093,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v16_lattices(X0)
| ~ v15_lattices(X0)
| ~ v11_lattices(X0)
| v3_struct_0(X0)
| ( v17_lattices(X0)
& ~ v3_struct_0(X0) ) ),
inference(ennf_transformation,[],[f4498]) ).
fof(f7094,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v16_lattices(X0)
| ~ v15_lattices(X0)
| ~ v11_lattices(X0)
| v3_struct_0(X0)
| ( v17_lattices(X0)
& ~ v3_struct_0(X0) ) ),
inference(flattening,[],[f7093]) ).
fof(f7095,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| v3_struct_0(X0)
| ( v16_lattices(X0)
& v15_lattices(X0)
& v14_lattices(X0)
& v13_lattices(X0)
& v11_lattices(X0)
& ~ v3_struct_0(X0) ) ),
inference(ennf_transformation,[],[f4497]) ).
fof(f7096,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| v3_struct_0(X0)
| ( v16_lattices(X0)
& v15_lattices(X0)
& v14_lattices(X0)
& v13_lattices(X0)
& v11_lattices(X0)
& ~ v3_struct_0(X0) ) ),
inference(flattening,[],[f7095]) ).
fof(f7097,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v15_lattices(X0)
| v3_struct_0(X0)
| ( v14_lattices(X0)
& v13_lattices(X0)
& ~ v3_struct_0(X0) ) ),
inference(ennf_transformation,[],[f4494]) ).
fof(f7098,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v15_lattices(X0)
| v3_struct_0(X0)
| ( v14_lattices(X0)
& v13_lattices(X0)
& ~ v3_struct_0(X0) ) ),
inference(flattening,[],[f7097]) ).
fof(f7099,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v14_lattices(X0)
| ~ v13_lattices(X0)
| v3_struct_0(X0)
| ( v15_lattices(X0)
& ~ v3_struct_0(X0) ) ),
inference(ennf_transformation,[],[f4493]) ).
fof(f7100,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v14_lattices(X0)
| ~ v13_lattices(X0)
| v3_struct_0(X0)
| ( v15_lattices(X0)
& ~ v3_struct_0(X0) ) ),
inference(flattening,[],[f7099]) ).
fof(f7101,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| k7_lattices(X0,k5_lattices(X0)) = k6_lattices(X0) ),
inference(ennf_transformation,[],[f6355]) ).
fof(f7102,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| k7_lattices(X0,k5_lattices(X0)) = k6_lattices(X0) ),
inference(flattening,[],[f7101]) ).
fof(f7103,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| k7_lattices(X0,k6_lattices(X0)) = k5_lattices(X0) ),
inference(ennf_transformation,[],[f6354]) ).
fof(f7104,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| k7_lattices(X0,k6_lattices(X0)) = k5_lattices(X0) ),
inference(flattening,[],[f7103]) ).
fof(f7105,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v14_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| k6_lattices(X0) = k3_binop_1(u1_struct_0(X0),u1_lattices(X0)) ),
inference(ennf_transformation,[],[f5698]) ).
fof(f7106,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v14_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| k6_lattices(X0) = k3_binop_1(u1_struct_0(X0),u1_lattices(X0)) ),
inference(flattening,[],[f7105]) ).
fof(f7107,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v14_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| r3_binop_1(u1_struct_0(X0),k6_lattices(X0),u1_lattices(X0)) ),
inference(ennf_transformation,[],[f5696]) ).
fof(f7108,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v14_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| r3_binop_1(u1_struct_0(X0),k6_lattices(X0),u1_lattices(X0)) ),
inference(flattening,[],[f7107]) ).
fof(f7109,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ v1_setwiseo(u1_lattices(X0),u1_struct_0(X0))
| k6_lattices(X0) = k3_binop_1(u1_struct_0(X0),u1_lattices(X0)) ),
inference(ennf_transformation,[],[f5655]) ).
fof(f7110,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ v1_setwiseo(u1_lattices(X0),u1_struct_0(X0))
| k6_lattices(X0) = k3_binop_1(u1_struct_0(X0),u1_lattices(X0)) ),
inference(flattening,[],[f7109]) ).
fof(f7111,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ? [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
& k2_binop_1(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),u1_lattices(X0),X1,X2) != X2 )
| X1 = k6_lattices(X0) ) ),
inference(ennf_transformation,[],[f5647]) ).
fof(f7112,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ? [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
& k2_binop_1(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),u1_lattices(X0),X1,X2) != X2 )
| X1 = k6_lattices(X0) ) ),
inference(flattening,[],[f7111]) ).
fof(f7113,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ? [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
& k4_lattices(X0,X1,X2) != X2 )
| X1 = k6_lattices(X0) ) ),
inference(ennf_transformation,[],[f5646]) ).
fof(f7114,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ? [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
& k4_lattices(X0,X1,X2) != X2 )
| X1 = k6_lattices(X0) ) ),
inference(flattening,[],[f7113]) ).
fof(f7115,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v3_filter_0(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| k4_filter_0(X0,X1,X1) = k6_lattices(X0) ) ),
inference(ennf_transformation,[],[f5527]) ).
fof(f7116,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v3_filter_0(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| k4_filter_0(X0,X1,X1) = k6_lattices(X0) ) ),
inference(flattening,[],[f7115]) ).
fof(f7119,plain,
! [X0] :
( ~ l2_lattices(X0)
| v3_struct_0(X0)
| m1_subset_1(k6_lattices(X0),u1_struct_0(X0)) ),
inference(ennf_transformation,[],[f4595]) ).
fof(f7120,plain,
! [X0] :
( ~ l2_lattices(X0)
| v3_struct_0(X0)
| m1_subset_1(k6_lattices(X0),u1_struct_0(X0)) ),
inference(flattening,[],[f7119]) ).
fof(f7121,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| k3_lattices(X0,k7_lattices(X0,X1),X1) = k6_lattices(X0) ) ),
inference(ennf_transformation,[],[f4569]) ).
fof(f7122,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| k3_lattices(X0,k7_lattices(X0,X1),X1) = k6_lattices(X0) ) ),
inference(flattening,[],[f7121]) ).
fof(f7123,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v14_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| r3_lattices(X0,X1,k6_lattices(X0)) ) ),
inference(ennf_transformation,[],[f4565]) ).
fof(f7124,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v14_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| r3_lattices(X0,X1,k6_lattices(X0)) ) ),
inference(flattening,[],[f7123]) ).
fof(f7125,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v14_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| k3_lattices(X0,k6_lattices(X0),X1) = k6_lattices(X0) ) ),
inference(ennf_transformation,[],[f4564]) ).
fof(f7126,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v14_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| k3_lattices(X0,k6_lattices(X0),X1) = k6_lattices(X0) ) ),
inference(flattening,[],[f7125]) ).
fof(f7127,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v14_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| k4_lattices(X0,k6_lattices(X0),X1) = X1 ) ),
inference(ennf_transformation,[],[f4563]) ).
fof(f7128,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v14_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| k4_lattices(X0,k6_lattices(X0),X1) = X1 ) ),
inference(flattening,[],[f7127]) ).
fof(f7129,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v13_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| k5_lattices(X0) = k3_binop_1(u1_struct_0(X0),u2_lattices(X0)) ),
inference(ennf_transformation,[],[f5692]) ).
fof(f7130,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v13_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| k5_lattices(X0) = k3_binop_1(u1_struct_0(X0),u2_lattices(X0)) ),
inference(flattening,[],[f7129]) ).
fof(f7131,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ v1_setwiseo(u2_lattices(X0),u1_struct_0(X0))
| k5_lattices(X0) = k3_binop_1(u1_struct_0(X0),u2_lattices(X0)) ),
inference(ennf_transformation,[],[f5650]) ).
fof(f7132,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ v1_setwiseo(u2_lattices(X0),u1_struct_0(X0))
| k5_lattices(X0) = k3_binop_1(u1_struct_0(X0),u2_lattices(X0)) ),
inference(flattening,[],[f7131]) ).
fof(f7133,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ? [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
& k2_binop_1(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),u2_lattices(X0),X1,X2) != X2 )
| X1 = k5_lattices(X0) ) ),
inference(ennf_transformation,[],[f5644]) ).
fof(f7134,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ? [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
& k2_binop_1(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),u2_lattices(X0),X1,X2) != X2 )
| X1 = k5_lattices(X0) ) ),
inference(flattening,[],[f7133]) ).
fof(f7135,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| ( r3_lattices(X0,X1,X2)
<=> k4_lattices(X0,X1,k7_lattices(X0,X2)) = k5_lattices(X0) ) ) ) ),
inference(ennf_transformation,[],[f5544]) ).
fof(f7136,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| ( r3_lattices(X0,X1,X2)
<=> k4_lattices(X0,X1,k7_lattices(X0,X2)) = k5_lattices(X0) ) ) ) ),
inference(flattening,[],[f7135]) ).
fof(f7137,plain,
! [X0] :
( ~ l1_lattices(X0)
| v3_struct_0(X0)
| m1_subset_1(k5_lattices(X0),u1_struct_0(X0)) ),
inference(ennf_transformation,[],[f4594]) ).
fof(f7138,plain,
! [X0] :
( ~ l1_lattices(X0)
| v3_struct_0(X0)
| m1_subset_1(k5_lattices(X0),u1_struct_0(X0)) ),
inference(flattening,[],[f7137]) ).
fof(f7139,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| ( k4_lattices(X0,X1,X2) = k5_lattices(X0)
<=> r3_lattices(X0,X1,k7_lattices(X0,X2)) ) ) ) ),
inference(ennf_transformation,[],[f4573]) ).
fof(f7140,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| ( k4_lattices(X0,X1,X2) = k5_lattices(X0)
<=> r3_lattices(X0,X1,k7_lattices(X0,X2)) ) ) ) ),
inference(flattening,[],[f7139]) ).
fof(f7141,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| k4_lattices(X0,k7_lattices(X0,X1),X1) = k5_lattices(X0) ) ),
inference(ennf_transformation,[],[f4568]) ).
fof(f7142,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| k4_lattices(X0,k7_lattices(X0,X1),X1) = k5_lattices(X0) ) ),
inference(flattening,[],[f7141]) ).
fof(f7143,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v13_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| r3_lattices(X0,k5_lattices(X0),X1) ) ),
inference(ennf_transformation,[],[f4561]) ).
fof(f7144,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v13_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| r3_lattices(X0,k5_lattices(X0),X1) ) ),
inference(flattening,[],[f7143]) ).
fof(f7145,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v13_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| k4_lattices(X0,k5_lattices(X0),X1) = k5_lattices(X0) ) ),
inference(ennf_transformation,[],[f4560]) ).
fof(f7146,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v13_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| k4_lattices(X0,k5_lattices(X0),X1) = k5_lattices(X0) ) ),
inference(flattening,[],[f7145]) ).
fof(f7147,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| v3_filter_0(X0) ),
inference(ennf_transformation,[],[f5529]) ).
fof(f7148,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| v3_filter_0(X0) ),
inference(flattening,[],[f7147]) ).
fof(f7149,plain,
! [X0] :
( v1_xboole_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,k5_finsub_1(X0))
| ! [X2] :
( ~ l3_lattices(X2)
| ~ v13_lattices(X2)
| ~ v11_lattices(X2)
| ~ v10_lattices(X2)
| v3_struct_0(X2)
| ! [X3] :
( ~ m2_relset_1(X3,X0,u1_struct_0(X2))
| ~ v1_funct_2(X3,X0,u1_struct_0(X2))
| ~ v1_funct_1(X3)
| ! [X4] :
( ~ m2_relset_1(X4,X0,u1_struct_0(X2))
| ~ v1_funct_2(X4,X0,u1_struct_0(X2))
| ~ v1_funct_1(X4)
| ! [X5] :
( ~ m1_subset_1(X5,u1_struct_0(X2))
| ? [X6] :
( m1_subset_1(X6,X0)
& r2_hidden(X6,X1)
& k8_funct_2(X0,u1_struct_0(X2),X3,X6) != k4_lattices(X2,X5,k8_funct_2(X0,u1_struct_0(X2),X4,X6)) )
| k4_lattices(X2,X5,k2_lattice2(X0,X2,X1,X4)) = k2_lattice2(X0,X2,X1,X3) ) ) ) ) ) ),
inference(ennf_transformation,[],[f5706]) ).
fof(f7150,plain,
! [X0] :
( v1_xboole_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,k5_finsub_1(X0))
| ! [X2] :
( ~ l3_lattices(X2)
| ~ v13_lattices(X2)
| ~ v11_lattices(X2)
| ~ v10_lattices(X2)
| v3_struct_0(X2)
| ! [X3] :
( ~ m2_relset_1(X3,X0,u1_struct_0(X2))
| ~ v1_funct_2(X3,X0,u1_struct_0(X2))
| ~ v1_funct_1(X3)
| ! [X4] :
( ~ m2_relset_1(X4,X0,u1_struct_0(X2))
| ~ v1_funct_2(X4,X0,u1_struct_0(X2))
| ~ v1_funct_1(X4)
| ! [X5] :
( ~ m1_subset_1(X5,u1_struct_0(X2))
| ? [X6] :
( m1_subset_1(X6,X0)
& r2_hidden(X6,X1)
& k8_funct_2(X0,u1_struct_0(X2),X3,X6) != k4_lattices(X2,X5,k8_funct_2(X0,u1_struct_0(X2),X4,X6)) )
| k4_lattices(X2,X5,k2_lattice2(X0,X2,X1,X4)) = k2_lattice2(X0,X2,X1,X3) ) ) ) ) ) ),
inference(flattening,[],[f7149]) ).
fof(f7151,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v3_filter_0(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| v11_lattices(X0) ),
inference(ennf_transformation,[],[f5528]) ).
fof(f7152,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v3_filter_0(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| v11_lattices(X0) ),
inference(flattening,[],[f7151]) ).
fof(f7153,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v11_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| ! [X3] :
( ~ m1_subset_1(X3,u1_struct_0(X0))
| k4_lattices(X0,k4_lattices(X0,k3_lattices(X0,X1,X2),k3_lattices(X0,X2,X3)),k3_lattices(X0,X3,X1)) = k3_lattices(X0,k3_lattices(X0,k4_lattices(X0,X1,X2),k4_lattices(X0,X2,X3)),k4_lattices(X0,X3,X1)) ) ) ) ),
inference(ennf_transformation,[],[f4554]) ).
fof(f7154,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v11_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| ! [X3] :
( ~ m1_subset_1(X3,u1_struct_0(X0))
| k4_lattices(X0,k4_lattices(X0,k3_lattices(X0,X1,X2),k3_lattices(X0,X2,X3)),k3_lattices(X0,X3,X1)) = k3_lattices(X0,k3_lattices(X0,k4_lattices(X0,X1,X2),k4_lattices(X0,X2,X3)),k4_lattices(X0,X3,X1)) ) ) ) ),
inference(flattening,[],[f7153]) ).
fof(f7155,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v11_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| ! [X3] :
( ~ m1_subset_1(X3,u1_struct_0(X0))
| k3_lattices(X0,X1,X2) != k3_lattices(X0,X1,X3)
| k4_lattices(X0,X1,X2) != k4_lattices(X0,X1,X3)
| X2 = X3 ) ) ) ),
inference(ennf_transformation,[],[f4552]) ).
fof(f7156,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v11_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| ! [X3] :
( ~ m1_subset_1(X3,u1_struct_0(X0))
| k3_lattices(X0,X1,X2) != k3_lattices(X0,X1,X3)
| k4_lattices(X0,X1,X2) != k4_lattices(X0,X1,X3)
| X2 = X3 ) ) ) ),
inference(flattening,[],[f7155]) ).
fof(f7157,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v11_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| ! [X3] :
( ~ m1_subset_1(X3,u1_struct_0(X0))
| k3_lattices(X0,X1,k4_lattices(X0,X2,X3)) = k4_lattices(X0,k3_lattices(X0,X1,X2),k3_lattices(X0,X1,X3)) ) ) ) ),
inference(ennf_transformation,[],[f4551]) ).
fof(f7158,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v11_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| ! [X3] :
( ~ m1_subset_1(X3,u1_struct_0(X0))
| k3_lattices(X0,X1,k4_lattices(X0,X2,X3)) = k4_lattices(X0,k3_lattices(X0,X1,X2),k3_lattices(X0,X1,X3)) ) ) ) ),
inference(flattening,[],[f7157]) ).
fof(f7159,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ? [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
& ? [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
& ? [X3] :
( m1_subset_1(X3,u1_struct_0(X0))
& k3_lattices(X0,k3_lattices(X0,k4_lattices(X0,X1,X2),k4_lattices(X0,X2,X3)),k4_lattices(X0,X3,X1)) != k4_lattices(X0,k4_lattices(X0,k3_lattices(X0,X1,X2),k3_lattices(X0,X2,X3)),k3_lattices(X0,X3,X1)) ) ) )
| v11_lattices(X0) ),
inference(ennf_transformation,[],[f4549]) ).
fof(f7160,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ? [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
& ? [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
& ? [X3] :
( m1_subset_1(X3,u1_struct_0(X0))
& k3_lattices(X0,k3_lattices(X0,k4_lattices(X0,X1,X2),k4_lattices(X0,X2,X3)),k4_lattices(X0,X3,X1)) != k4_lattices(X0,k4_lattices(X0,k3_lattices(X0,X1,X2),k3_lattices(X0,X2,X3)),k3_lattices(X0,X3,X1)) ) ) )
| v11_lattices(X0) ),
inference(flattening,[],[f7159]) ).
fof(f7161,plain,
! [X0] :
( v1_realset1(X0)
| ! [X1] :
( ~ m1_subset_1(X1,X0)
| ! [X2] :
( ~ m3_realset1(X2,X0,X1)
| ( m2_relset_1(k1_realset1(X2,k4_xboole_0(X0,k1_tarski(X1))),k2_zfmisc_1(k4_xboole_0(X0,k1_tarski(X1)),k4_xboole_0(X0,k1_tarski(X1))),k4_xboole_0(X0,k1_tarski(X1)))
& v1_funct_2(k1_realset1(X2,k4_xboole_0(X0,k1_tarski(X1))),k2_zfmisc_1(k4_xboole_0(X0,k1_tarski(X1)),k4_xboole_0(X0,k1_tarski(X1))),k4_xboole_0(X0,k1_tarski(X1)))
& v1_funct_1(k1_realset1(X2,k4_xboole_0(X0,k1_tarski(X1)))) ) ) ) ),
inference(ennf_transformation,[],[f4088]) ).
fof(f7162,plain,
! [X0] :
( ~ v1_relat_1(X0)
| ! [X1] : k1_realset1(X0,X1) = k7_relat_1(X0,k2_zfmisc_1(X1,X1)) ),
inference(ennf_transformation,[],[f4074]) ).
fof(f7163,plain,
! [X0,X1] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ( v1_funct_1(k1_realset1(X0,X1))
& v1_relat_1(k1_realset1(X0,X1)) ) ),
inference(ennf_transformation,[],[f4063]) ).
fof(f7164,plain,
! [X0,X1] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ( v1_funct_1(k1_realset1(X0,X1))
& v1_relat_1(k1_realset1(X0,X1)) ) ),
inference(flattening,[],[f7163]) ).
fof(f7165,plain,
! [X0,X1] :
( ~ v1_relat_1(X0)
| v1_relat_1(k1_realset1(X0,X1)) ),
inference(ennf_transformation,[],[f4062]) ).
fof(f7166,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v13_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| v1_setwiseo(u2_lattices(X0),u1_struct_0(X0)) ),
inference(ennf_transformation,[],[f5691]) ).
fof(f7167,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v13_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| v1_setwiseo(u2_lattices(X0),u1_struct_0(X0)) ),
inference(flattening,[],[f7166]) ).
fof(f7172,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| v3_binop_1(u2_lattices(X0),u1_struct_0(X0)) ),
inference(ennf_transformation,[],[f5648]) ).
fof(f7173,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| v3_binop_1(u2_lattices(X0),u1_struct_0(X0)) ),
inference(flattening,[],[f7172]) ).
fof(f7174,plain,
! [X0] :
( ~ l2_lattices(X0)
| ~ v5_lattices(X0)
| v3_struct_0(X0)
| ( v1_partfun1(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& v2_binop_1(u2_lattices(X0),u1_struct_0(X0))
& v1_funct_2(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& v1_funct_1(u2_lattices(X0))
& v1_relat_1(u2_lattices(X0)) ) ),
inference(ennf_transformation,[],[f5609]) ).
fof(f7175,plain,
! [X0] :
( ~ l2_lattices(X0)
| ~ v5_lattices(X0)
| v3_struct_0(X0)
| ( v1_partfun1(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& v2_binop_1(u2_lattices(X0),u1_struct_0(X0))
& v1_funct_2(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& v1_funct_1(u2_lattices(X0))
& v1_relat_1(u2_lattices(X0)) ) ),
inference(flattening,[],[f7174]) ).
fof(f7176,plain,
! [X0] :
( ~ l2_lattices(X0)
| ~ v4_lattices(X0)
| v3_struct_0(X0)
| ( v1_partfun1(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& v1_binop_1(u2_lattices(X0),u1_struct_0(X0))
& v1_funct_2(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& v1_funct_1(u2_lattices(X0))
& v1_relat_1(u2_lattices(X0)) ) ),
inference(ennf_transformation,[],[f5608]) ).
fof(f7177,plain,
! [X0] :
( ~ l2_lattices(X0)
| ~ v4_lattices(X0)
| v3_struct_0(X0)
| ( v1_partfun1(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& v1_binop_1(u2_lattices(X0),u1_struct_0(X0))
& v1_funct_2(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& v1_funct_1(u2_lattices(X0))
& v1_relat_1(u2_lattices(X0)) ) ),
inference(flattening,[],[f7176]) ).
fof(f7178,plain,
! [X0] :
( ~ l2_lattices(X0)
| ( m2_relset_1(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& v1_funct_2(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& v1_funct_1(u2_lattices(X0)) ) ),
inference(ennf_transformation,[],[f4598]) ).
fof(f7179,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v14_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| v1_setwiseo(u1_lattices(X0),u1_struct_0(X0)) ),
inference(ennf_transformation,[],[f5697]) ).
fof(f7180,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v14_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| v1_setwiseo(u1_lattices(X0),u1_struct_0(X0)) ),
inference(flattening,[],[f7179]) ).
fof(f7181,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| v3_binop_1(u1_lattices(X0),u1_struct_0(X0)) ),
inference(ennf_transformation,[],[f5652]) ).
fof(f7182,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| v3_binop_1(u1_lattices(X0),u1_struct_0(X0)) ),
inference(flattening,[],[f7181]) ).
fof(f7183,plain,
! [X0] :
( ~ l3_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ l3_lattices(X1)
| v3_struct_0(X1)
| k8_filter_1(X0,X1) = g3_lattices(k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X1)),k7_filter_1(u1_struct_0(X0),u1_struct_0(X1),u2_lattices(X0),u2_lattices(X1)),k7_filter_1(u1_struct_0(X0),u1_struct_0(X1),u1_lattices(X0),u1_lattices(X1))) ) ),
inference(ennf_transformation,[],[f5755]) ).
fof(f7184,plain,
! [X0] :
( ~ l3_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ l3_lattices(X1)
| v3_struct_0(X1)
| k8_filter_1(X0,X1) = g3_lattices(k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X1)),k7_filter_1(u1_struct_0(X0),u1_struct_0(X1),u2_lattices(X0),u2_lattices(X1)),k7_filter_1(u1_struct_0(X0),u1_struct_0(X1),u1_lattices(X0),u1_lattices(X1))) ) ),
inference(flattening,[],[f7183]) ).
fof(f7185,plain,
! [X0] :
( ~ l3_lattices(X0)
| k1_lattice2(X0) = g3_lattices(u1_struct_0(X0),u1_lattices(X0),u2_lattices(X0)) ),
inference(ennf_transformation,[],[f5639]) ).
fof(f7186,plain,
! [X0,X1,X2] :
( ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| ! [X3,X4,X5] :
( g3_lattices(X0,X1,X2) != g3_lattices(X3,X4,X5)
| ( X2 = X5
& X1 = X4
& X0 = X3 ) ) ),
inference(ennf_transformation,[],[f4604]) ).
fof(f7187,plain,
! [X0,X1,X2] :
( ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| ! [X3,X4,X5] :
( g3_lattices(X0,X1,X2) != g3_lattices(X3,X4,X5)
| ( X2 = X5
& X1 = X4
& X0 = X3 ) ) ),
inference(flattening,[],[f7186]) ).
fof(f7188,plain,
! [X0,X1,X2] :
( ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| ( l3_lattices(g3_lattices(X0,X1,X2))
& v3_lattices(g3_lattices(X0,X1,X2)) ) ),
inference(ennf_transformation,[],[f4603]) ).
fof(f7189,plain,
! [X0,X1,X2] :
( ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| ( l3_lattices(g3_lattices(X0,X1,X2))
& v3_lattices(g3_lattices(X0,X1,X2)) ) ),
inference(flattening,[],[f7188]) ).
fof(f7190,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v3_lattices(X0)
| X0 = g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) ),
inference(ennf_transformation,[],[f4583]) ).
fof(f7191,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v3_lattices(X0)
| X0 = g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) ),
inference(flattening,[],[f7190]) ).
fof(f7192,plain,
! [X0,X1,X2] :
( ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| v1_xboole_0(X0)
| ( v3_lattices(g3_lattices(X0,X1,X2))
& ~ v3_struct_0(g3_lattices(X0,X1,X2)) ) ),
inference(ennf_transformation,[],[f4483]) ).
fof(f7193,plain,
! [X0,X1,X2] :
( ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| v1_xboole_0(X0)
| ( v3_lattices(g3_lattices(X0,X1,X2))
& ~ v3_struct_0(g3_lattices(X0,X1,X2)) ) ),
inference(flattening,[],[f7192]) ).
fof(f7194,plain,
! [X0] :
( ~ l3_lattices(X0)
| ( l3_lattices(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0)) ) ),
inference(ennf_transformation,[],[f5712]) ).
fof(f7195,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v3_lattices(X0)
| v3_struct_0(X0)
| k1_lattice2(k1_lattice2(X0)) = X0 ),
inference(ennf_transformation,[],[f5641]) ).
fof(f7196,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v3_lattices(X0)
| v3_struct_0(X0)
| k1_lattice2(k1_lattice2(X0)) = X0 ),
inference(flattening,[],[f7195]) ).
fof(f7197,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ( v10_lattices(k1_lattice2(X0))
& v9_lattices(k1_lattice2(X0))
& v8_lattices(k1_lattice2(X0))
& v7_lattices(k1_lattice2(X0))
& v6_lattices(k1_lattice2(X0))
& v5_lattices(k1_lattice2(X0))
& v4_lattices(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0))
& ~ v3_struct_0(k1_lattice2(X0)) ) ),
inference(ennf_transformation,[],[f5612]) ).
fof(f7198,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ( v10_lattices(k1_lattice2(X0))
& v9_lattices(k1_lattice2(X0))
& v8_lattices(k1_lattice2(X0))
& v7_lattices(k1_lattice2(X0))
& v6_lattices(k1_lattice2(X0))
& v5_lattices(k1_lattice2(X0))
& v4_lattices(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0))
& ~ v3_struct_0(k1_lattice2(X0)) ) ),
inference(flattening,[],[f7197]) ).
fof(f7199,plain,
! [X0] :
( ~ l3_lattices(X0)
| v3_struct_0(X0)
| ( v3_lattices(k1_lattice2(X0))
& ~ v3_struct_0(k1_lattice2(X0)) ) ),
inference(ennf_transformation,[],[f5607]) ).
fof(f7200,plain,
! [X0] :
( ~ l3_lattices(X0)
| v3_struct_0(X0)
| ( v3_lattices(k1_lattice2(X0))
& ~ v3_struct_0(k1_lattice2(X0)) ) ),
inference(flattening,[],[f7199]) ).
fof(f7201,plain,
! [X0,X1,X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l2_lattices(X0)
| ~ v4_lattices(X0)
| v3_struct_0(X0)
| k3_lattices(X0,X1,X2) = k3_lattices(X0,X2,X1) ),
inference(ennf_transformation,[],[f4589]) ).
fof(f7202,plain,
! [X0,X1,X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l2_lattices(X0)
| ~ v4_lattices(X0)
| v3_struct_0(X0)
| k3_lattices(X0,X1,X2) = k3_lattices(X0,X2,X1) ),
inference(flattening,[],[f7201]) ).
fof(f7203,plain,
! [X0,X1,X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l2_lattices(X0)
| ~ v4_lattices(X0)
| v3_struct_0(X0)
| m1_subset_1(k3_lattices(X0,X1,X2),u1_struct_0(X0)) ),
inference(ennf_transformation,[],[f4588]) ).
fof(f7204,plain,
! [X0,X1,X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l2_lattices(X0)
| ~ v4_lattices(X0)
| v3_struct_0(X0)
| m1_subset_1(k3_lattices(X0,X1,X2),u1_struct_0(X0)) ),
inference(flattening,[],[f7203]) ).
fof(f7207,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v9_lattices(X0)
| ~ v8_lattices(X0)
| ~ v7_lattices(X0)
| ~ v6_lattices(X0)
| ~ v5_lattices(X0)
| ~ v4_lattices(X0)
| v3_struct_0(X0)
| ( v10_lattices(X0)
& ~ v3_struct_0(X0) ) ),
inference(ennf_transformation,[],[f4488]) ).
fof(f7208,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v9_lattices(X0)
| ~ v8_lattices(X0)
| ~ v7_lattices(X0)
| ~ v6_lattices(X0)
| ~ v5_lattices(X0)
| ~ v4_lattices(X0)
| v3_struct_0(X0)
| ( v10_lattices(X0)
& ~ v3_struct_0(X0) ) ),
inference(flattening,[],[f7207]) ).
fof(f7209,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ( v9_lattices(X0)
& v8_lattices(X0)
& v7_lattices(X0)
& v6_lattices(X0)
& v5_lattices(X0)
& v4_lattices(X0)
& ~ v3_struct_0(X0) ) ),
inference(ennf_transformation,[],[f4487]) ).
fof(f7210,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ( v9_lattices(X0)
& v8_lattices(X0)
& v7_lattices(X0)
& v6_lattices(X0)
& v5_lattices(X0)
& v4_lattices(X0)
& ~ v3_struct_0(X0) ) ),
inference(flattening,[],[f7209]) ).
fof(f7211,plain,
! [X0,X1,X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l3_lattices(X0)
| ~ v9_lattices(X0)
| ~ v8_lattices(X0)
| ~ v6_lattices(X0)
| v3_struct_0(X0)
| r3_lattices(X0,X1,X1) ),
inference(ennf_transformation,[],[f4584]) ).
fof(f7212,plain,
! [X0,X1,X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l3_lattices(X0)
| ~ v9_lattices(X0)
| ~ v8_lattices(X0)
| ~ v6_lattices(X0)
| v3_struct_0(X0)
| r3_lattices(X0,X1,X1) ),
inference(flattening,[],[f7211]) ).
fof(f7213,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v9_lattices(X0)
| ~ v8_lattices(X0)
| ~ v6_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| k4_lattices(X0,X1,X1) = X1 ) ),
inference(ennf_transformation,[],[f4538]) ).
fof(f7214,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v9_lattices(X0)
| ~ v8_lattices(X0)
| ~ v6_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| k4_lattices(X0,X1,X1) = X1 ) ),
inference(flattening,[],[f7213]) ).
fof(f7217,plain,
! [X0] :
( ~ l1_lattices(X0)
| ~ v7_lattices(X0)
| v3_struct_0(X0)
| ( v1_partfun1(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& v2_binop_1(u1_lattices(X0),u1_struct_0(X0))
& v1_funct_2(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& v1_funct_1(u1_lattices(X0))
& v1_relat_1(u1_lattices(X0)) ) ),
inference(ennf_transformation,[],[f5611]) ).
fof(f7218,plain,
! [X0] :
( ~ l1_lattices(X0)
| ~ v7_lattices(X0)
| v3_struct_0(X0)
| ( v1_partfun1(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& v2_binop_1(u1_lattices(X0),u1_struct_0(X0))
& v1_funct_2(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& v1_funct_1(u1_lattices(X0))
& v1_relat_1(u1_lattices(X0)) ) ),
inference(flattening,[],[f7217]) ).
fof(f7219,plain,
! [X0] :
( ~ l3_lattices(X0)
| v3_realset2(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v1_xboole_0(X1)
| ? [X2] :
( m1_subset_1(X2,k5_finsub_1(u1_struct_0(X0)))
& ~ v1_xboole_0(X2)
& k2_lattice4(X0,X2) = k5_lattices(X0)
& r1_tarski(X2,X1) )
| ~ r2_hidden(k5_lattices(X0),k3_filter_0(X0,X1)) ) ),
inference(ennf_transformation,[],[f6457]) ).
fof(f7220,plain,
! [X0] :
( ~ l3_lattices(X0)
| v3_realset2(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v1_xboole_0(X1)
| ? [X2] :
( m1_subset_1(X2,k5_finsub_1(u1_struct_0(X0)))
& ~ v1_xboole_0(X2)
& k2_lattice4(X0,X2) = k5_lattices(X0)
& r1_tarski(X2,X1) )
| ~ r2_hidden(k5_lattices(X0),k3_filter_0(X0,X1)) ) ),
inference(flattening,[],[f7219]) ).
fof(f7221,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v1_xboole_0(X1)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| m1_filter_0(k3_filter_0(X0,X1),X0) ),
inference(ennf_transformation,[],[f5587]) ).
fof(f7222,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v1_xboole_0(X1)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| m1_filter_0(k3_filter_0(X0,X1),X0) ),
inference(flattening,[],[f7221]) ).
fof(f7223,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v1_xboole_0(X1)
| ! [X2] :
( ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
| v1_xboole_0(X2)
| ( k3_filter_0(X0,k4_subset_1(u1_struct_0(X0),X1,X2)) = k3_filter_0(X0,k4_subset_1(u1_struct_0(X0),X1,k3_filter_0(X0,X2)))
& k3_filter_0(X0,k4_subset_1(u1_struct_0(X0),X1,X2)) = k3_filter_0(X0,k4_subset_1(u1_struct_0(X0),k3_filter_0(X0,X1),X2)) ) ) ) ),
inference(ennf_transformation,[],[f5536]) ).
fof(f7224,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v1_xboole_0(X1)
| ! [X2] :
( ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
| v1_xboole_0(X2)
| ( k3_filter_0(X0,k4_subset_1(u1_struct_0(X0),X1,X2)) = k3_filter_0(X0,k4_subset_1(u1_struct_0(X0),X1,k3_filter_0(X0,X2)))
& k3_filter_0(X0,k4_subset_1(u1_struct_0(X0),X1,X2)) = k3_filter_0(X0,k4_subset_1(u1_struct_0(X0),k3_filter_0(X0,X1),X2)) ) ) ) ),
inference(flattening,[],[f7223]) ).
fof(f7225,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v1_xboole_0(X1)
| ! [X2] :
( ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
| v1_xboole_0(X2)
| ~ r1_tarski(X1,X2)
| r1_tarski(k3_filter_0(X0,X1),k3_filter_0(X0,X2)) ) ) ),
inference(ennf_transformation,[],[f5513]) ).
fof(f7226,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v1_xboole_0(X1)
| ! [X2] :
( ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
| v1_xboole_0(X2)
| ~ r1_tarski(X1,X2)
| r1_tarski(k3_filter_0(X0,X1),k3_filter_0(X0,X2)) ) ) ),
inference(flattening,[],[f7225]) ).
fof(f7227,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_filter_0(X1,X0)
| k3_filter_0(X0,X1) = X1 ) ),
inference(ennf_transformation,[],[f5512]) ).
fof(f7228,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_filter_0(X1,X0)
| k3_filter_0(X0,X1) = X1 ) ),
inference(flattening,[],[f7227]) ).
fof(f7229,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v1_xboole_0(X1)
| ! [X2] :
( ~ m1_filter_0(X2,X0)
| ( X2 = k3_filter_0(X0,X1)
<=> ( ! [X3] :
( ~ m1_filter_0(X3,X0)
| ~ r1_tarski(X1,X3)
| r1_tarski(X2,X3) )
& r1_tarski(X1,X2) ) ) ) ) ),
inference(ennf_transformation,[],[f5510]) ).
fof(f7230,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v1_xboole_0(X1)
| ! [X2] :
( ~ m1_filter_0(X2,X0)
| ( X2 = k3_filter_0(X0,X1)
<=> ( ! [X3] :
( ~ m1_filter_0(X3,X0)
| ~ r1_tarski(X1,X3)
| r1_tarski(X2,X3) )
& r1_tarski(X1,X2) ) ) ) ) ),
inference(flattening,[],[f7229]) ).
fof(f7231,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ( v6_group_1(X0)
<=> v6_group_1(k1_lattice2(X0)) ) ),
inference(ennf_transformation,[],[f5711]) ).
fof(f7232,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ( v6_group_1(X0)
<=> v6_group_1(k1_lattice2(X0)) ) ),
inference(flattening,[],[f7231]) ).
fof(f7233,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v14_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| k6_lattices(X0) = k5_lattices(k1_lattice2(X0)) ),
inference(ennf_transformation,[],[f5703]) ).
fof(f7234,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v14_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| k6_lattices(X0) = k5_lattices(k1_lattice2(X0)) ),
inference(flattening,[],[f7233]) ).
fof(f7235,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v13_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| k5_lattices(X0) = k6_lattices(k1_lattice2(X0)) ),
inference(ennf_transformation,[],[f5702]) ).
fof(f7236,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v13_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| k5_lattices(X0) = k6_lattices(k1_lattice2(X0)) ),
inference(flattening,[],[f7235]) ).
fof(f7237,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ( ( l3_lattices(X0)
& v11_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
<=> ( l3_lattices(k1_lattice2(X0))
& v11_lattices(k1_lattice2(X0))
& v10_lattices(k1_lattice2(X0))
& ~ v3_struct_0(k1_lattice2(X0)) ) ) ),
inference(ennf_transformation,[],[f5689]) ).
fof(f7238,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ( ( l3_lattices(X0)
& v11_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
<=> ( l3_lattices(k1_lattice2(X0))
& v11_lattices(k1_lattice2(X0))
& v10_lattices(k1_lattice2(X0))
& ~ v3_struct_0(k1_lattice2(X0)) ) ) ),
inference(flattening,[],[f7237]) ).
fof(f7239,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ( v14_lattices(X0)
<=> v13_lattices(k1_lattice2(X0)) ) ),
inference(ennf_transformation,[],[f5688]) ).
fof(f7240,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ( v14_lattices(X0)
<=> v13_lattices(k1_lattice2(X0)) ) ),
inference(flattening,[],[f7239]) ).
fof(f7241,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ( v13_lattices(X0)
<=> v14_lattices(k1_lattice2(X0)) ) ),
inference(ennf_transformation,[],[f5687]) ).
fof(f7242,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ( v13_lattices(X0)
<=> v14_lattices(k1_lattice2(X0)) ) ),
inference(flattening,[],[f7241]) ).
fof(f7243,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| ! [X3] :
( ~ m1_subset_1(X3,u1_struct_0(k1_lattice2(X0)))
| ! [X4] :
( ~ m1_subset_1(X4,u1_struct_0(k1_lattice2(X0)))
| X2 != X4
| X1 != X3
| ~ r3_lattices(k1_lattice2(X0),X3,X4)
| r3_lattices(X0,X2,X1) ) ) ) ) ),
inference(ennf_transformation,[],[f5678]) ).
fof(f7244,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| ! [X3] :
( ~ m1_subset_1(X3,u1_struct_0(k1_lattice2(X0)))
| ! [X4] :
( ~ m1_subset_1(X4,u1_struct_0(k1_lattice2(X0)))
| X2 != X4
| X1 != X3
| ~ r3_lattices(k1_lattice2(X0),X3,X4)
| r3_lattices(X0,X2,X1) ) ) ) ) ),
inference(flattening,[],[f7243]) ).
fof(f7245,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ r3_lattices(X0,X1,X2)
| ! [X3] :
( ~ m1_subset_1(X3,u1_struct_0(k1_lattice2(X0)))
| ! [X4] :
( ~ m1_subset_1(X4,u1_struct_0(k1_lattice2(X0)))
| X2 != X4
| X1 != X3
| r3_lattices(k1_lattice2(X0),X4,X3) ) ) ) ) ),
inference(ennf_transformation,[],[f5677]) ).
fof(f7246,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ r3_lattices(X0,X1,X2)
| ! [X3] :
( ~ m1_subset_1(X3,u1_struct_0(k1_lattice2(X0)))
| ! [X4] :
( ~ m1_subset_1(X4,u1_struct_0(k1_lattice2(X0)))
| X2 != X4
| X1 != X3
| r3_lattices(k1_lattice2(X0),X4,X3) ) ) ) ) ),
inference(flattening,[],[f7245]) ).
fof(f7247,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| ! [X3] :
( ~ m1_subset_1(X3,u1_struct_0(k1_lattice2(X0)))
| ! [X4] :
( ~ m1_subset_1(X4,u1_struct_0(k1_lattice2(X0)))
| X2 != X4
| X1 != X3
| ( k3_lattices(X0,X1,X2) = k4_lattices(k1_lattice2(X0),X3,X4)
& k4_lattices(X0,X1,X2) = k3_lattices(k1_lattice2(X0),X3,X4) ) ) ) ) ) ),
inference(ennf_transformation,[],[f5676]) ).
fof(f7248,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| ! [X3] :
( ~ m1_subset_1(X3,u1_struct_0(k1_lattice2(X0)))
| ! [X4] :
( ~ m1_subset_1(X4,u1_struct_0(k1_lattice2(X0)))
| X2 != X4
| X1 != X3
| ( k3_lattices(X0,X1,X2) = k4_lattices(k1_lattice2(X0),X3,X4)
& k4_lattices(X0,X1,X2) = k3_lattices(k1_lattice2(X0),X3,X4) ) ) ) ) ) ),
inference(flattening,[],[f7247]) ).
fof(f7251,plain,
! [X0] :
( ~ l3_lattices(X0)
| v3_struct_0(X0)
| ( u1_lattices(X0) = u2_lattices(k1_lattice2(X0))
& u2_lattices(X0) = u1_lattices(k1_lattice2(X0))
& u1_struct_0(X0) = u1_struct_0(k1_lattice2(X0)) ) ),
inference(ennf_transformation,[],[f5640]) ).
fof(f7252,plain,
! [X0] :
( ~ l3_lattices(X0)
| v3_struct_0(X0)
| ( u1_lattices(X0) = u2_lattices(k1_lattice2(X0))
& u2_lattices(X0) = u1_lattices(k1_lattice2(X0))
& u1_struct_0(X0) = u1_struct_0(k1_lattice2(X0)) ) ),
inference(flattening,[],[f7251]) ).
fof(f7253,plain,
! [X0,X1] :
( ~ m2_relset_1(X1,X0,X0)
| ? [X2] :
( ! [X3] :
( ~ m2_relset_1(X3,X0,X0)
| ~ v1_partfun1(X3,X0,X0)
| ~ v8_relat_2(X3)
| ~ v3_relat_2(X3)
| ~ r1_tarski(X1,X3)
| r1_tarski(X2,X3) )
& r1_tarski(X1,X2)
& m2_relset_1(X2,X0,X0)
& v1_partfun1(X2,X0,X0)
& v8_relat_2(X2)
& v3_relat_2(X2) ) ),
inference(ennf_transformation,[],[f3414]) ).
fof(f7254,plain,
! [X0,X1] :
( ~ m2_relset_1(X1,X0,X0)
| ? [X2] :
( ! [X3] :
( ~ m2_relset_1(X3,X0,X0)
| ~ v1_partfun1(X3,X0,X0)
| ~ v8_relat_2(X3)
| ~ v3_relat_2(X3)
| ~ r1_tarski(X1,X3)
| r1_tarski(X2,X3) )
& r1_tarski(X1,X2)
& m2_relset_1(X2,X0,X0)
& v1_partfun1(X2,X0,X0)
& v8_relat_2(X2)
& v3_relat_2(X2) ) ),
inference(flattening,[],[f7253]) ).
fof(f7255,plain,
! [X0,X1,X2,X3] :
( ~ m2_relset_1(X3,X0,X0)
| ~ v1_partfun1(X3,X0,X0)
| ~ v3_relat_2(X3)
| ~ r2_hidden(k4_tarski(X1,X2),X3)
| r2_hidden(k4_tarski(X2,X1),X3) ),
inference(ennf_transformation,[],[f3406]) ).
fof(f7256,plain,
! [X0,X1,X2,X3] :
( ~ m2_relset_1(X3,X0,X0)
| ~ v1_partfun1(X3,X0,X0)
| ~ v3_relat_2(X3)
| ~ r2_hidden(k4_tarski(X1,X2),X3)
| r2_hidden(k4_tarski(X2,X1),X3) ),
inference(flattening,[],[f7255]) ).
fof(f7257,plain,
! [X0] :
( ~ v1_relat_1(X0)
| ! [X1] :
( ~ v1_relat_1(X1)
| ~ v3_relat_2(X1)
| ~ v3_relat_2(X0)
| ( v3_relat_2(k4_xboole_0(X0,X1))
& v3_relat_2(k3_xboole_0(X0,X1))
& v3_relat_2(k2_xboole_0(X0,X1)) ) ) ),
inference(ennf_transformation,[],[f1160]) ).
fof(f7258,plain,
! [X0] :
( ~ v1_relat_1(X0)
| ! [X1] :
( ~ v1_relat_1(X1)
| ~ v3_relat_2(X1)
| ~ v3_relat_2(X0)
| ( v3_relat_2(k4_xboole_0(X0,X1))
& v3_relat_2(k3_xboole_0(X0,X1))
& v3_relat_2(k2_xboole_0(X0,X1)) ) ) ),
inference(flattening,[],[f7257]) ).
fof(f7259,plain,
! [X0,X1,X2,X3,X4] :
( ~ m2_relset_1(X4,X0,X0)
| ~ v1_partfun1(X4,X0,X0)
| ~ v8_relat_2(X4)
| ~ r2_hidden(k4_tarski(X2,X3),X4)
| ~ r2_hidden(k4_tarski(X1,X2),X4)
| r2_hidden(k4_tarski(X1,X3),X4) ),
inference(ennf_transformation,[],[f3407]) ).
fof(f7260,plain,
! [X0,X1,X2,X3,X4] :
( ~ m2_relset_1(X4,X0,X0)
| ~ v1_partfun1(X4,X0,X0)
| ~ v8_relat_2(X4)
| ~ r2_hidden(k4_tarski(X2,X3),X4)
| ~ r2_hidden(k4_tarski(X1,X2),X4)
| r2_hidden(k4_tarski(X1,X3),X4) ),
inference(flattening,[],[f7259]) ).
fof(f7261,plain,
! [X0] :
( ~ v1_relat_1(X0)
| ( v8_relat_2(X0)
<=> r1_tarski(k5_relat_1(X0,X0),X0) ) ),
inference(ennf_transformation,[],[f1169]) ).
fof(f7262,plain,
! [X0] :
( ~ v1_relat_1(X0)
| ! [X1] :
( ~ v1_relat_1(X1)
| ~ v8_relat_2(X1)
| ~ v8_relat_2(X0)
| v8_relat_2(k3_xboole_0(X0,X1)) ) ),
inference(ennf_transformation,[],[f1168]) ).
fof(f7263,plain,
! [X0] :
( ~ v1_relat_1(X0)
| ! [X1] :
( ~ v1_relat_1(X1)
| ~ v8_relat_2(X1)
| ~ v8_relat_2(X0)
| v8_relat_2(k3_xboole_0(X0,X1)) ) ),
inference(flattening,[],[f7262]) ).
fof(f7268,plain,
! [X0,X1] :
( v1_xboole_0(X1)
| v1_xboole_0(X0)
| ! [X2] :
( ~ m1_relset_1(X2,X0,X1)
| ~ v1_funct_2(X2,X0,X1)
| ~ v1_funct_1(X2)
| ( v1_funct_2(X2,X0,X1)
& v1_partfun1(X2,X0,X1)
& ~ v1_xboole_0(X2)
& v1_funct_1(X2) ) ) ),
inference(ennf_transformation,[],[f1699]) ).
fof(f7269,plain,
! [X0,X1] :
( v1_xboole_0(X1)
| v1_xboole_0(X0)
| ! [X2] :
( ~ m1_relset_1(X2,X0,X1)
| ~ v1_funct_2(X2,X0,X1)
| ~ v1_funct_1(X2)
| ( v1_funct_2(X2,X0,X1)
& v1_partfun1(X2,X0,X1)
& ~ v1_xboole_0(X2)
& v1_funct_1(X2) ) ) ),
inference(flattening,[],[f7268]) ).
fof(f7270,plain,
! [X0,X1] :
( v1_xboole_0(X1)
| ! [X2] :
( ~ m1_relset_1(X2,X0,X1)
| ~ v1_funct_2(X2,X0,X1)
| ~ v1_funct_1(X2)
| ( v1_funct_2(X2,X0,X1)
& v1_partfun1(X2,X0,X1)
& v1_funct_1(X2) ) ) ),
inference(ennf_transformation,[],[f1698]) ).
fof(f7271,plain,
! [X0,X1] :
( v1_xboole_0(X1)
| ! [X2] :
( ~ m1_relset_1(X2,X0,X1)
| ~ v1_funct_2(X2,X0,X1)
| ~ v1_funct_1(X2)
| ( v1_funct_2(X2,X0,X1)
& v1_partfun1(X2,X0,X1)
& v1_funct_1(X2) ) ) ),
inference(flattening,[],[f7270]) ).
fof(f7272,plain,
! [X0,X1,X2] :
( ~ m1_relset_1(X2,X0,X1)
| ~ v1_partfun1(X2,X0,X1)
| ~ v1_funct_1(X2)
| ( v1_funct_2(X2,X0,X1)
& v1_funct_1(X2) ) ),
inference(ennf_transformation,[],[f1691]) ).
fof(f7273,plain,
! [X0,X1,X2] :
( ~ m1_relset_1(X2,X0,X1)
| ~ v1_partfun1(X2,X0,X1)
| ~ v1_funct_1(X2)
| ( v1_funct_2(X2,X0,X1)
& v1_funct_1(X2) ) ),
inference(flattening,[],[f7272]) ).
fof(f7274,plain,
! [X0,X1] :
( ~ m2_relset_1(X1,k1_xboole_0,X0)
| ~ v1_funct_1(X1)
| v1_partfun1(X1,k1_xboole_0,X0) ),
inference(ennf_transformation,[],[f1467]) ).
fof(f7275,plain,
! [X0,X1] :
( ~ m2_relset_1(X1,k1_xboole_0,X0)
| ~ v1_funct_1(X1)
| v1_partfun1(X1,k1_xboole_0,X0) ),
inference(flattening,[],[f7274]) ).
fof(f7276,plain,
! [X0,X1,X2] :
( ~ m2_relset_1(X2,X0,X1)
| ~ v1_funct_1(X2)
| k1_xboole_0 != X1
| ~ v1_partfun1(X2,X0,X1)
| X0 = k1_xboole_0 ),
inference(ennf_transformation,[],[f1454]) ).
fof(f7277,plain,
! [X0,X1,X2] :
( ~ m2_relset_1(X2,X0,X1)
| ~ v1_funct_1(X2)
| k1_xboole_0 != X1
| ~ v1_partfun1(X2,X0,X1)
| X0 = k1_xboole_0 ),
inference(flattening,[],[f7276]) ).
fof(f7278,plain,
! [X0] :
( v1_xboole_0(X0)
| ! [X1] :
( ~ m2_relset_1(X1,X0,X0)
| ~ v1_partfun1(X1,X0,X0)
| ~ v8_relat_2(X1)
| ~ v3_relat_2(X1)
| ~ v1_xboole_0(k8_eqrel_1(X0,X1)) ) ),
inference(ennf_transformation,[],[f5854]) ).
fof(f7279,plain,
! [X0] :
( v1_xboole_0(X0)
| ! [X1] :
( ~ m2_relset_1(X1,X0,X0)
| ~ v1_partfun1(X1,X0,X0)
| ~ v8_relat_2(X1)
| ~ v3_relat_2(X1)
| ~ v1_xboole_0(k8_eqrel_1(X0,X1)) ) ),
inference(flattening,[],[f7278]) ).
fof(f7280,plain,
! [X0,X1] :
( ~ m1_relset_1(X1,X0,X0)
| ~ v1_partfun1(X1,X0,X0)
| ~ v8_relat_2(X1)
| ~ v3_relat_2(X1)
| m1_eqrel_1(k8_eqrel_1(X0,X1),X0) ),
inference(ennf_transformation,[],[f3466]) ).
fof(f7281,plain,
! [X0,X1] :
( ~ m1_relset_1(X1,X0,X0)
| ~ v1_partfun1(X1,X0,X0)
| ~ v8_relat_2(X1)
| ~ v3_relat_2(X1)
| m1_eqrel_1(k8_eqrel_1(X0,X1),X0) ),
inference(flattening,[],[f7280]) ).
fof(f7282,plain,
! [X0,X1] :
( ~ m1_filter_0(X1,X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| v1_relat_1(k10_filter_0(X0,X1)) ),
inference(ennf_transformation,[],[f5596]) ).
fof(f7283,plain,
! [X0,X1] :
( ~ m1_filter_0(X1,X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| v1_relat_1(k10_filter_0(X0,X1)) ),
inference(flattening,[],[f7282]) ).
fof(f7288,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_filter_0(X1,X0)
| m2_relset_1(k10_filter_0(X0,X1),u1_struct_0(X0),u1_struct_0(X0)) ) ),
inference(ennf_transformation,[],[f5571]) ).
fof(f7289,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_filter_0(X1,X0)
| m2_relset_1(k10_filter_0(X0,X1),u1_struct_0(X0),u1_struct_0(X0)) ) ),
inference(flattening,[],[f7288]) ).
fof(f7290,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_filter_0(X1,X0)
| ! [X2] :
( ~ v1_relat_1(X2)
| ( X2 = k10_filter_0(X0,X1)
<=> ( ! [X3] :
( ~ m1_subset_1(X3,u1_struct_0(X0))
| ! [X4] :
( ~ m1_subset_1(X4,u1_struct_0(X0))
| ( r2_hidden(k1_domain_1(u1_struct_0(X0),u1_struct_0(X0),X3,X4),X2)
<=> r2_hidden(k9_filter_0(X0,X3,X4),X1) ) ) )
& r1_tarski(k3_relat_1(X2),u1_struct_0(X0)) ) ) ) ) ),
inference(ennf_transformation,[],[f5569]) ).
fof(f7291,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_filter_0(X1,X0)
| ! [X2] :
( ~ v1_relat_1(X2)
| ( X2 = k10_filter_0(X0,X1)
<=> ( ! [X3] :
( ~ m1_subset_1(X3,u1_struct_0(X0))
| ! [X4] :
( ~ m1_subset_1(X4,u1_struct_0(X0))
| ( r2_hidden(k1_domain_1(u1_struct_0(X0),u1_struct_0(X0),X3,X4),X2)
<=> r2_hidden(k9_filter_0(X0,X3,X4),X1) ) ) )
& r1_tarski(k3_relat_1(X2),u1_struct_0(X0)) ) ) ) ) ),
inference(flattening,[],[f7290]) ).
fof(f7292,plain,
! [X0,X1,X2] :
( ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X1,X0,X0)
| ~ v1_partfun1(X1,X0,X0)
| ~ v8_relat_2(X1)
| ~ v3_relat_2(X1)
| v1_xboole_0(X0)
| ( m2_relset_1(k4_filter_1(X0,X1,X2),k2_zfmisc_1(k8_eqrel_1(X0,X1),k8_eqrel_1(X0,X1)),k8_eqrel_1(X0,X1))
& v1_funct_2(k4_filter_1(X0,X1,X2),k2_zfmisc_1(k8_eqrel_1(X0,X1),k8_eqrel_1(X0,X1)),k8_eqrel_1(X0,X1))
& v1_funct_1(k4_filter_1(X0,X1,X2)) ) ),
inference(ennf_transformation,[],[f5807]) ).
fof(f7293,plain,
! [X0,X1,X2] :
( ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X1,X0,X0)
| ~ v1_partfun1(X1,X0,X0)
| ~ v8_relat_2(X1)
| ~ v3_relat_2(X1)
| v1_xboole_0(X0)
| ( m2_relset_1(k4_filter_1(X0,X1,X2),k2_zfmisc_1(k8_eqrel_1(X0,X1),k8_eqrel_1(X0,X1)),k8_eqrel_1(X0,X1))
& v1_funct_2(k4_filter_1(X0,X1,X2),k2_zfmisc_1(k8_eqrel_1(X0,X1),k8_eqrel_1(X0,X1)),k8_eqrel_1(X0,X1))
& v1_funct_1(k4_filter_1(X0,X1,X2)) ) ),
inference(flattening,[],[f7292]) ).
fof(f7294,plain,
! [X0] :
( v1_xboole_0(X0)
| ! [X1] :
( ~ m2_relset_1(X1,X0,X0)
| ~ v1_partfun1(X1,X0,X0)
| ~ v8_relat_2(X1)
| ~ v3_relat_2(X1)
| ! [X2] :
( ~ m2_filter_1(X2,X0,X1)
| ! [X3] :
( ~ m2_filter_1(X3,X0,X1)
| ~ r6_binop_1(X0,X2,X3)
| r6_binop_1(k8_eqrel_1(X0,X1),k4_filter_1(X0,X1,X2),k4_filter_1(X0,X1,X3)) ) ) ) ),
inference(ennf_transformation,[],[f5732]) ).
fof(f7295,plain,
! [X0] :
( v1_xboole_0(X0)
| ! [X1] :
( ~ m2_relset_1(X1,X0,X0)
| ~ v1_partfun1(X1,X0,X0)
| ~ v8_relat_2(X1)
| ~ v3_relat_2(X1)
| ! [X2] :
( ~ m2_filter_1(X2,X0,X1)
| ! [X3] :
( ~ m2_filter_1(X3,X0,X1)
| ~ r6_binop_1(X0,X2,X3)
| r6_binop_1(k8_eqrel_1(X0,X1),k4_filter_1(X0,X1,X2),k4_filter_1(X0,X1,X3)) ) ) ) ),
inference(flattening,[],[f7294]) ).
fof(f7296,plain,
! [X0] :
( v1_xboole_0(X0)
| ! [X1] :
( ~ m2_relset_1(X1,X0,X0)
| ~ v1_partfun1(X1,X0,X0)
| ~ v8_relat_2(X1)
| ~ v3_relat_2(X1)
| ! [X2] :
( ~ m1_subset_1(X2,X0)
| ! [X3] :
( ~ m2_filter_1(X3,X0,X1)
| ~ r3_binop_1(X0,X2,X3)
| r3_binop_1(k8_eqrel_1(X0,X1),k2_filter_1(X0,X1,X2),k4_filter_1(X0,X1,X3)) ) ) ) ),
inference(ennf_transformation,[],[f5729]) ).
fof(f7297,plain,
! [X0] :
( v1_xboole_0(X0)
| ! [X1] :
( ~ m2_relset_1(X1,X0,X0)
| ~ v1_partfun1(X1,X0,X0)
| ~ v8_relat_2(X1)
| ~ v3_relat_2(X1)
| ! [X2] :
( ~ m1_subset_1(X2,X0)
| ! [X3] :
( ~ m2_filter_1(X3,X0,X1)
| ~ r3_binop_1(X0,X2,X3)
| r3_binop_1(k8_eqrel_1(X0,X1),k2_filter_1(X0,X1,X2),k4_filter_1(X0,X1,X3)) ) ) ) ),
inference(flattening,[],[f7296]) ).
fof(f7298,plain,
! [X0] :
( v1_xboole_0(X0)
| ! [X1] :
( ~ m2_relset_1(X1,X0,X0)
| ~ v1_partfun1(X1,X0,X0)
| ~ v8_relat_2(X1)
| ~ v3_relat_2(X1)
| ! [X2] :
( ~ m2_filter_1(X2,X0,X1)
| ~ v2_binop_1(X2,X0)
| v2_binop_1(k4_filter_1(X0,X1,X2),k8_eqrel_1(X0,X1)) ) ) ),
inference(ennf_transformation,[],[f5726]) ).
fof(f7299,plain,
! [X0] :
( v1_xboole_0(X0)
| ! [X1] :
( ~ m2_relset_1(X1,X0,X0)
| ~ v1_partfun1(X1,X0,X0)
| ~ v8_relat_2(X1)
| ~ v3_relat_2(X1)
| ! [X2] :
( ~ m2_filter_1(X2,X0,X1)
| ~ v2_binop_1(X2,X0)
| v2_binop_1(k4_filter_1(X0,X1,X2),k8_eqrel_1(X0,X1)) ) ) ),
inference(flattening,[],[f7298]) ).
fof(f7300,plain,
! [X0] :
( v1_xboole_0(X0)
| ! [X1] :
( ~ m2_relset_1(X1,X0,X0)
| ~ v1_partfun1(X1,X0,X0)
| ~ v8_relat_2(X1)
| ~ v3_relat_2(X1)
| ! [X2] :
( ~ m2_filter_1(X2,X0,X1)
| ~ v1_binop_1(X2,X0)
| v1_binop_1(k4_filter_1(X0,X1,X2),k8_eqrel_1(X0,X1)) ) ) ),
inference(ennf_transformation,[],[f5725]) ).
fof(f7301,plain,
! [X0] :
( v1_xboole_0(X0)
| ! [X1] :
( ~ m2_relset_1(X1,X0,X0)
| ~ v1_partfun1(X1,X0,X0)
| ~ v8_relat_2(X1)
| ~ v3_relat_2(X1)
| ! [X2] :
( ~ m2_filter_1(X2,X0,X1)
| ~ v1_binop_1(X2,X0)
| v1_binop_1(k4_filter_1(X0,X1,X2),k8_eqrel_1(X0,X1)) ) ) ),
inference(flattening,[],[f7300]) ).
fof(f7302,plain,
! [X0] :
( v1_xboole_0(X0)
| ! [X1] :
( ~ m2_relset_1(X1,X0,X0)
| ~ v1_partfun1(X1,X0,X0)
| ~ v8_relat_2(X1)
| ~ v3_relat_2(X1)
| ! [X2] :
( ~ m1_subset_1(X2,X0)
| ! [X3] :
( ~ m1_subset_1(X3,X0)
| ! [X4] :
( ~ m2_filter_1(X4,X0,X1)
| k2_binop_1(k8_eqrel_1(X0,X1),k8_eqrel_1(X0,X1),k8_eqrel_1(X0,X1),k4_filter_1(X0,X1,X4),k2_filter_1(X0,X1,X2),k2_filter_1(X0,X1,X3)) = k2_filter_1(X0,X1,k2_binop_1(X0,X0,X0,X4,X2,X3)) ) ) ) ) ),
inference(ennf_transformation,[],[f5724]) ).
fof(f7303,plain,
! [X0] :
( v1_xboole_0(X0)
| ! [X1] :
( ~ m2_relset_1(X1,X0,X0)
| ~ v1_partfun1(X1,X0,X0)
| ~ v8_relat_2(X1)
| ~ v3_relat_2(X1)
| ! [X2] :
( ~ m1_subset_1(X2,X0)
| ! [X3] :
( ~ m1_subset_1(X3,X0)
| ! [X4] :
( ~ m2_filter_1(X4,X0,X1)
| k2_binop_1(k8_eqrel_1(X0,X1),k8_eqrel_1(X0,X1),k8_eqrel_1(X0,X1),k4_filter_1(X0,X1,X4),k2_filter_1(X0,X1,X2),k2_filter_1(X0,X1,X3)) = k2_filter_1(X0,X1,k2_binop_1(X0,X0,X0,X4,X2,X3)) ) ) ) ) ),
inference(flattening,[],[f7302]) ).
fof(f7304,plain,
! [X0] :
( v1_xboole_0(X0)
| ! [X1] :
( ~ m2_relset_1(X1,X0,X0)
| ~ v1_partfun1(X1,X0,X0)
| ~ v8_relat_2(X1)
| ~ v3_relat_2(X1)
| ! [X2] :
( ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ m2_filter_1(X2,X0,X1)
| ! [X3] :
( ~ m2_relset_1(X3,k2_zfmisc_1(k8_eqrel_1(X0,X1),k8_eqrel_1(X0,X1)),k8_eqrel_1(X0,X1))
| ~ v1_funct_2(X3,k2_zfmisc_1(k8_eqrel_1(X0,X1),k8_eqrel_1(X0,X1)),k8_eqrel_1(X0,X1))
| ~ v1_funct_1(X3)
| ( X3 = k4_filter_1(X0,X1,X2)
<=> ! [X4,X5,X6,X7] :
( ~ r2_hidden(X7,X5)
| ~ r2_hidden(X6,X4)
| ~ r2_hidden(X5,k8_eqrel_1(X0,X1))
| ~ r2_hidden(X4,k8_eqrel_1(X0,X1))
| k1_binop_1(X3,X4,X5) = k6_eqrel_1(X0,X1,k1_binop_1(X2,X6,X7)) ) ) ) ) ) ),
inference(ennf_transformation,[],[f5723]) ).
fof(f7305,plain,
! [X0] :
( v1_xboole_0(X0)
| ! [X1] :
( ~ m2_relset_1(X1,X0,X0)
| ~ v1_partfun1(X1,X0,X0)
| ~ v8_relat_2(X1)
| ~ v3_relat_2(X1)
| ! [X2] :
( ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ m2_filter_1(X2,X0,X1)
| ! [X3] :
( ~ m2_relset_1(X3,k2_zfmisc_1(k8_eqrel_1(X0,X1),k8_eqrel_1(X0,X1)),k8_eqrel_1(X0,X1))
| ~ v1_funct_2(X3,k2_zfmisc_1(k8_eqrel_1(X0,X1),k8_eqrel_1(X0,X1)),k8_eqrel_1(X0,X1))
| ~ v1_funct_1(X3)
| ( X3 = k4_filter_1(X0,X1,X2)
<=> ! [X4,X5,X6,X7] :
( ~ r2_hidden(X7,X5)
| ~ r2_hidden(X6,X4)
| ~ r2_hidden(X5,k8_eqrel_1(X0,X1))
| ~ r2_hidden(X4,k8_eqrel_1(X0,X1))
| k1_binop_1(X3,X4,X5) = k6_eqrel_1(X0,X1,k1_binop_1(X2,X6,X7)) ) ) ) ) ) ),
inference(flattening,[],[f7304]) ).
fof(f7306,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| v1_xboole_0(X1)
| v1_xboole_0(X0)
| ! [X2] :
( m2_subset_1(X2,X0,X1)
<=> m1_subset_1(X2,X1) ) ),
inference(ennf_transformation,[],[f556]) ).
fof(f7307,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| v1_xboole_0(X1)
| v1_xboole_0(X0)
| ! [X2] :
( m2_subset_1(X2,X0,X1)
<=> m1_subset_1(X2,X1) ) ),
inference(flattening,[],[f7306]) ).
fof(f7308,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| v1_xboole_0(X1)
| v1_xboole_0(X0)
| ? [X2] : m2_subset_1(X2,X0,X1) ),
inference(ennf_transformation,[],[f555]) ).
fof(f7309,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| v1_xboole_0(X1)
| v1_xboole_0(X0)
| ? [X2] : m2_subset_1(X2,X0,X1) ),
inference(flattening,[],[f7308]) ).
fof(f7310,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| v1_xboole_0(X1)
| v1_xboole_0(X0)
| ! [X2] :
( ~ m2_subset_1(X2,X0,X1)
| m1_subset_1(X2,X0) ) ),
inference(ennf_transformation,[],[f554]) ).
fof(f7311,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| v1_xboole_0(X1)
| v1_xboole_0(X0)
| ! [X2] :
( ~ m2_subset_1(X2,X0,X1)
| m1_subset_1(X2,X0) ) ),
inference(flattening,[],[f7310]) ).
fof(f7312,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ! [X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ( v3_pre_topc(X1,X0)
<=> ! [X2] :
( r2_hidden(X2,X1)
<=> ? [X3] :
( r2_hidden(X2,X3)
& r1_tarski(X3,X1)
& v3_pre_topc(X3,X0)
& m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0))) ) ) ) ) ),
inference(ennf_transformation,[],[f4782]) ).
fof(f7313,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ! [X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ( v3_pre_topc(X1,X0)
<=> ! [X2] :
( r2_hidden(X2,X1)
<=> ? [X3] :
( r2_hidden(X2,X3)
& r1_tarski(X3,X1)
& v3_pre_topc(X3,X0)
& m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0))) ) ) ) ) ),
inference(flattening,[],[f7312]) ).
fof(f7314,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| ( r2_hidden(X2,k6_pre_topc(X0,X1))
<=> ! [X3] :
( ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0)))
| ~ r1_xboole_0(X1,X3)
| ~ r2_hidden(X2,X3)
| ~ v3_pre_topc(X3,X0) ) ) ) ) ),
inference(ennf_transformation,[],[f4763]) ).
fof(f7315,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| ( r2_hidden(X2,k6_pre_topc(X0,X1))
<=> ! [X3] :
( ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0)))
| ~ r1_xboole_0(X1,X3)
| ~ r2_hidden(X2,X3)
| ~ v3_pre_topc(X3,X0) ) ) ) ) ),
inference(flattening,[],[f7314]) ).
fof(f7316,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ! [X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ! [X2] :
( ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
| ~ v3_pre_topc(X2,X0)
| ~ v3_pre_topc(X1,X0)
| v3_pre_topc(k4_subset_1(u1_struct_0(X0),X1,X2),X0) ) ) ),
inference(ennf_transformation,[],[f4761]) ).
fof(f7317,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ! [X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ! [X2] :
( ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
| ~ v3_pre_topc(X2,X0)
| ~ v3_pre_topc(X1,X0)
| v3_pre_topc(k4_subset_1(u1_struct_0(X0),X1,X2),X0) ) ) ),
inference(flattening,[],[f7316]) ).
fof(f7318,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ! [X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ( v3_pre_topc(X1,X0)
<=> v4_pre_topc(k3_subset_1(u1_struct_0(X0),X1),X0) ) ) ),
inference(ennf_transformation,[],[f4754]) ).
fof(f7319,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ! [X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ( v4_pre_topc(X1,X0)
<=> v3_pre_topc(k3_subset_1(u1_struct_0(X0),X1),X0) ) ) ),
inference(ennf_transformation,[],[f4753]) ).
fof(f7320,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| ? [X1] :
( v4_pre_topc(X1,X0)
& v3_pre_topc(X1,X0)
& ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) ) ),
inference(ennf_transformation,[],[f4712]) ).
fof(f7321,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| ? [X1] :
( v4_pre_topc(X1,X0)
& v3_pre_topc(X1,X0)
& ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) ) ),
inference(flattening,[],[f7320]) ).
fof(f7322,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ? [X1] :
( v4_pre_topc(X1,X0)
& v3_pre_topc(X1,X0)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) ) ),
inference(ennf_transformation,[],[f4711]) ).
fof(f7323,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ? [X1] :
( v4_pre_topc(X1,X0)
& v3_pre_topc(X1,X0)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) ) ),
inference(flattening,[],[f7322]) ).
fof(f7324,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ! [X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ v1_xboole_0(X1)
| ( v4_pre_topc(X1,X0)
& v3_pre_topc(X1,X0) ) ) ),
inference(ennf_transformation,[],[f4710]) ).
fof(f7325,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ! [X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ v1_xboole_0(X1)
| ( v4_pre_topc(X1,X0)
& v3_pre_topc(X1,X0) ) ) ),
inference(flattening,[],[f7324]) ).
fof(f7328,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ? [X1] :
( v3_pre_topc(X1,X0)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) ) ),
inference(ennf_transformation,[],[f4704]) ).
fof(f7329,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ? [X1] :
( v3_pre_topc(X1,X0)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) ) ),
inference(flattening,[],[f7328]) ).
fof(f7332,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ! [X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| ( r2_hidden(X2,k6_pre_topc(X0,X1))
<=> ( ! [X3] :
( ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0)))
| ~ r1_xboole_0(X1,X3)
| ~ r2_hidden(X2,X3)
| ~ v3_pre_topc(X3,X0) )
& ~ v3_struct_0(X0) ) ) ) ) ),
inference(ennf_transformation,[],[f4684]) ).
fof(f7333,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ! [X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| ( r2_hidden(X2,k6_pre_topc(X0,X1))
<=> ( ! [X3] :
( ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0)))
| ~ r1_xboole_0(X1,X3)
| ~ r2_hidden(X2,X3)
| ~ v3_pre_topc(X3,X0) )
& ~ v3_struct_0(X0) ) ) ) ) ),
inference(flattening,[],[f7332]) ).
fof(f7334,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ! [X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ! [X2] :
( ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
| ( X2 = k6_pre_topc(X0,X1)
<=> ! [X3] :
( ~ r2_hidden(X3,u1_struct_0(X0))
| ( r2_hidden(X3,X2)
<=> ! [X4] :
( ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X0)))
| ~ r1_xboole_0(X1,X4)
| ~ r2_hidden(X3,X4)
| ~ v3_pre_topc(X4,X0) ) ) ) ) ) ) ),
inference(ennf_transformation,[],[f4674]) ).
fof(f7335,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ! [X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ! [X2] :
( ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
| ( X2 = k6_pre_topc(X0,X1)
<=> ! [X3] :
( ~ r2_hidden(X3,u1_struct_0(X0))
| ( r2_hidden(X3,X2)
<=> ! [X4] :
( ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X0)))
| ~ r1_xboole_0(X1,X4)
| ~ r2_hidden(X3,X4)
| ~ v3_pre_topc(X4,X0) ) ) ) ) ) ) ),
inference(flattening,[],[f7334]) ).
fof(f7336,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0)
| m1_subset_1(k1_tops_1(X0,X1),k1_zfmisc_1(u1_struct_0(X0))) ),
inference(ennf_transformation,[],[f4844]) ).
fof(f7337,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0)
| m1_subset_1(k1_tops_1(X0,X1),k1_zfmisc_1(u1_struct_0(X0))) ),
inference(flattening,[],[f7336]) ).
fof(f7338,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ! [X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| r1_xboole_0(k1_tops_1(X0,X1),k2_tops_1(X0,X1)) ) ),
inference(ennf_transformation,[],[f4799]) ).
fof(f7339,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ! [X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| r1_tarski(k2_tops_1(X0,k1_tops_1(X0,X1)),k2_tops_1(X0,X1)) ) ),
inference(ennf_transformation,[],[f4797]) ).
fof(f7340,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ! [X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ v3_pre_topc(X1,X0)
| k6_pre_topc(X0,k1_tops_1(X0,k6_pre_topc(X0,X1))) = k6_pre_topc(X0,X1) ) ),
inference(ennf_transformation,[],[f4784]) ).
fof(f7341,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ! [X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ v3_pre_topc(X1,X0)
| k6_pre_topc(X0,k1_tops_1(X0,k6_pre_topc(X0,X1))) = k6_pre_topc(X0,X1) ) ),
inference(flattening,[],[f7340]) ).
fof(f7342,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ! [X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| k6_pre_topc(X0,k1_tops_1(X0,X1)) = k6_pre_topc(X0,k1_tops_1(X0,k6_pre_topc(X0,k1_tops_1(X0,X1)))) ) ),
inference(ennf_transformation,[],[f4783]) ).
fof(f7343,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ! [X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ! [X2] :
( ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
| ~ r1_tarski(X1,X2)
| ~ v3_pre_topc(X1,X0)
| r1_tarski(X1,k1_tops_1(X0,X2)) ) ) ),
inference(ennf_transformation,[],[f4781]) ).
fof(f7344,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ! [X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ! [X2] :
( ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
| ~ r1_tarski(X1,X2)
| ~ v3_pre_topc(X1,X0)
| r1_tarski(X1,k1_tops_1(X0,X2)) ) ) ),
inference(flattening,[],[f7343]) ).
fof(f7345,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ! [X1] :
( ~ l1_pre_topc(X1)
| ! [X2] :
( ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
| ! [X3] :
( ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1)))
| ( ( k1_tops_1(X0,X2) != X2
| v3_pre_topc(X2,X0) )
& ( ~ v3_pre_topc(X3,X1)
| k1_tops_1(X1,X3) = X3 ) ) ) ) ) ),
inference(ennf_transformation,[],[f4780]) ).
fof(f7346,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ! [X1] :
( ~ l1_pre_topc(X1)
| ! [X2] :
( ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
| ! [X3] :
( ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1)))
| ( ( k1_tops_1(X0,X2) != X2
| v3_pre_topc(X2,X0) )
& ( ~ v3_pre_topc(X3,X1)
| k1_tops_1(X1,X3) = X3 ) ) ) ) ) ),
inference(flattening,[],[f7345]) ).
fof(f7347,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ! [X1,X2] :
( ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
| ( r2_hidden(X1,k1_tops_1(X0,X2))
<=> ? [X3] :
( r2_hidden(X1,X3)
& r1_tarski(X3,X2)
& v3_pre_topc(X3,X0)
& m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0))) ) ) ) ),
inference(ennf_transformation,[],[f4779]) ).
fof(f7348,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ! [X1,X2] :
( ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
| ( r2_hidden(X1,k1_tops_1(X0,X2))
<=> ? [X3] :
( r2_hidden(X1,X3)
& r1_tarski(X3,X2)
& v3_pre_topc(X3,X0)
& m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0))) ) ) ) ),
inference(flattening,[],[f7347]) ).
fof(f7351,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ! [X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ! [X2] :
( ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
| r1_tarski(k4_subset_1(u1_struct_0(X0),k1_tops_1(X0,X1),k1_tops_1(X0,X2)),k1_tops_1(X0,k4_subset_1(u1_struct_0(X0),X1,X2))) ) ) ),
inference(ennf_transformation,[],[f4774]) ).
fof(f7352,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ! [X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ! [X2] :
( ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
| ~ r1_tarski(X1,X2)
| r1_tarski(k1_tops_1(X0,X1),k1_tops_1(X0,X2)) ) ) ),
inference(ennf_transformation,[],[f4773]) ).
fof(f7353,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ! [X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ! [X2] :
( ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
| ~ r1_tarski(X1,X2)
| r1_tarski(k1_tops_1(X0,X1),k1_tops_1(X0,X2)) ) ) ),
inference(flattening,[],[f7352]) ).
fof(f7354,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ! [X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ! [X2] :
( ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
| k5_subset_1(u1_struct_0(X0),k1_tops_1(X0,X1),k1_tops_1(X0,X2)) = k1_tops_1(X0,k5_subset_1(u1_struct_0(X0),X1,X2)) ) ) ),
inference(ennf_transformation,[],[f4771]) ).
fof(f7355,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ! [X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ! [X2] :
( ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
| k5_subset_1(u1_struct_0(X0),k1_tops_1(X0,X1),k1_tops_1(X0,X2)) = k1_tops_1(X0,k5_subset_1(u1_struct_0(X0),X1,X2)) ) ) ),
inference(flattening,[],[f7354]) ).
fof(f7356,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ! [X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| k1_tops_1(X0,k1_tops_1(X0,X1)) = k1_tops_1(X0,X1) ) ),
inference(ennf_transformation,[],[f4770]) ).
fof(f7357,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ! [X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| r1_tarski(k1_tops_1(X0,X1),X1) ) ),
inference(ennf_transformation,[],[f4769]) ).
fof(f7358,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ! [X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| k1_tops_1(X0,X1) = k3_subset_1(u1_struct_0(X0),k6_pre_topc(X0,k3_subset_1(u1_struct_0(X0),X1))) ) ),
inference(ennf_transformation,[],[f4766]) ).
fof(f7359,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_pre_topc(k1_tops_1(X0,X1),X0) ),
inference(ennf_transformation,[],[f4707]) ).
fof(f7360,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_pre_topc(k1_tops_1(X0,X1),X0) ),
inference(flattening,[],[f7359]) ).
fof(f7361,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ! [X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ! [X2] :
( ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
| ~ v4_pre_topc(X2,X0)
| ~ v4_pre_topc(X1,X0)
| v4_pre_topc(k4_subset_1(u1_struct_0(X0),X1,X2),X0) ) ) ),
inference(ennf_transformation,[],[f4760]) ).
fof(f7362,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ! [X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ! [X2] :
( ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
| ~ v4_pre_topc(X2,X0)
| ~ v4_pre_topc(X1,X0)
| v4_pre_topc(k4_subset_1(u1_struct_0(X0),X1,X2),X0) ) ) ),
inference(flattening,[],[f7361]) ).
fof(f7363,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ! [X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ! [X2] :
( ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
| ~ v4_pre_topc(X2,X0)
| ~ v4_pre_topc(X1,X0)
| v4_pre_topc(k5_subset_1(u1_struct_0(X0),X1,X2),X0) ) ) ),
inference(ennf_transformation,[],[f4759]) ).
fof(f7364,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ! [X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ! [X2] :
( ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
| ~ v4_pre_topc(X2,X0)
| ~ v4_pre_topc(X1,X0)
| v4_pre_topc(k5_subset_1(u1_struct_0(X0),X1,X2),X0) ) ) ),
inference(flattening,[],[f7363]) ).
fof(f7365,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ! [X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ! [X2] :
( ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
| ~ v4_pre_topc(X2,X0)
| ~ v4_pre_topc(X1,X0)
| k6_pre_topc(X0,k5_subset_1(u1_struct_0(X0),X1,X2)) = k5_subset_1(u1_struct_0(X0),k6_pre_topc(X0,X1),k6_pre_topc(X0,X2)) ) ) ),
inference(ennf_transformation,[],[f4758]) ).
fof(f7366,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ! [X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ! [X2] :
( ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
| ~ v4_pre_topc(X2,X0)
| ~ v4_pre_topc(X1,X0)
| k6_pre_topc(X0,k5_subset_1(u1_struct_0(X0),X1,X2)) = k5_subset_1(u1_struct_0(X0),k6_pre_topc(X0,X1),k6_pre_topc(X0,X2)) ) ) ),
inference(flattening,[],[f7365]) ).
fof(f7367,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ! [X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ! [X2] :
( ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
| ~ r1_tarski(X2,X1)
| ~ v4_pre_topc(X1,X0)
| r1_tarski(k6_pre_topc(X0,X2),X1) ) ) ),
inference(ennf_transformation,[],[f4755]) ).
fof(f7368,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ! [X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ! [X2] :
( ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
| ~ r1_tarski(X2,X1)
| ~ v4_pre_topc(X1,X0)
| r1_tarski(k6_pre_topc(X0,X2),X1) ) ) ),
inference(flattening,[],[f7367]) ).
fof(f7369,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v4_pre_topc(k6_pre_topc(X0,X1),X0) ),
inference(ennf_transformation,[],[f4702]) ).
fof(f7370,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v4_pre_topc(k6_pre_topc(X0,X1),X0) ),
inference(flattening,[],[f7369]) ).
fof(f7371,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ! [X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ( ( k6_pre_topc(X0,X1) != X1
| ~ v2_pre_topc(X0)
| v4_pre_topc(X1,X0) )
& ( ~ v4_pre_topc(X1,X0)
| k6_pre_topc(X0,X1) = X1 ) ) ) ),
inference(ennf_transformation,[],[f4682]) ).
fof(f7372,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ! [X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ( ( k6_pre_topc(X0,X1) != X1
| ~ v2_pre_topc(X0)
| v4_pre_topc(X1,X0) )
& ( ~ v4_pre_topc(X1,X0)
| k6_pre_topc(X0,X1) = X1 ) ) ) ),
inference(flattening,[],[f7371]) ).
fof(f7373,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ! [X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ! [X2] :
( ~ r2_hidden(X2,u1_struct_0(X0))
| ( r2_hidden(X2,k6_pre_topc(X0,X1))
<=> ! [X3] :
( ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0)))
| ~ r1_tarski(X1,X3)
| ~ v4_pre_topc(X3,X0)
| r2_hidden(X2,X3) ) ) ) ) ),
inference(ennf_transformation,[],[f4675]) ).
fof(f7374,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ! [X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ! [X2] :
( ~ r2_hidden(X2,u1_struct_0(X0))
| ( r2_hidden(X2,k6_pre_topc(X0,X1))
<=> ! [X3] :
( ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0)))
| ~ r1_tarski(X1,X3)
| ~ v4_pre_topc(X3,X0)
| r2_hidden(X2,X3) ) ) ) ) ),
inference(flattening,[],[f7373]) ).
fof(f7375,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| ? [X1] :
( v4_pre_topc(X1,X0)
& ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) ) ),
inference(ennf_transformation,[],[f4617]) ).
fof(f7376,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| ? [X1] :
( v4_pre_topc(X1,X0)
& ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) ) ),
inference(flattening,[],[f7375]) ).
fof(f7377,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ? [X1] :
( v4_pre_topc(X1,X0)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) ) ),
inference(ennf_transformation,[],[f4616]) ).
fof(f7378,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ? [X1] :
( v4_pre_topc(X1,X0)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) ) ),
inference(flattening,[],[f7377]) ).
fof(f7379,plain,
! [X0] :
( v1_xboole_0(X0)
| ! [X1] :
( ~ m1_eqrel_1(X1,X0)
| ! [X2] :
( ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| ! [X3] :
( ~ m1_subset_1(X3,k1_zfmisc_1(X0))
| k3_tarski(X2) != X3
| k3_subset_1(X0,X3) = k3_tarski(k3_subset_1(X1,X2)) ) ) ) ),
inference(ennf_transformation,[],[f5853]) ).
fof(f7380,plain,
! [X0] :
( v1_xboole_0(X0)
| ! [X1] :
( ~ m1_eqrel_1(X1,X0)
| ! [X2] :
( ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| ! [X3] :
( ~ m1_subset_1(X3,k1_zfmisc_1(X0))
| k3_tarski(X2) != X3
| k3_subset_1(X0,X3) = k3_tarski(k3_subset_1(X1,X2)) ) ) ) ),
inference(flattening,[],[f7379]) ).
fof(f7381,plain,
! [X0] :
( ~ l1_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ! [X2] :
( ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
| k3_subset_1(u1_struct_0(X0),X1) != k3_subset_1(u1_struct_0(X0),X2)
| X1 = X2 ) ) ),
inference(ennf_transformation,[],[f4745]) ).
fof(f7382,plain,
! [X0] :
( ~ l1_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ! [X2] :
( ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
| k3_subset_1(u1_struct_0(X0),X1) != k3_subset_1(u1_struct_0(X0),X2)
| X1 = X2 ) ) ),
inference(flattening,[],[f7381]) ).
fof(f7383,plain,
! [X0] :
( ~ l1_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ! [X2] :
( ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
| ( r1_tarski(X1,X2)
<=> r1_xboole_0(X1,k3_subset_1(u1_struct_0(X0),X2)) ) ) ) ),
inference(ennf_transformation,[],[f4744]) ).
fof(f7384,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| k3_subset_1(X0,k3_subset_1(X0,X1)) = X1 ),
inference(ennf_transformation,[],[f566]) ).
fof(f7385,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| m1_subset_1(k3_subset_1(X0,X1),k1_zfmisc_1(X0)) ),
inference(ennf_transformation,[],[f565]) ).
fof(f7386,plain,
! [X0,X1,X2] :
( ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ r2_hidden(X1,X2)
| ~ r2_hidden(X1,k3_subset_1(X0,X2)) ),
inference(ennf_transformation,[],[f537]) ).
fof(f7387,plain,
! [X0,X1,X2] :
( ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ r2_hidden(X1,X2)
| ~ r2_hidden(X1,k3_subset_1(X0,X2)) ),
inference(flattening,[],[f7386]) ).
fof(f7388,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ! [X2] :
( ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ? [X3] :
( m1_subset_1(X3,X0)
& ( r2_hidden(X3,X1)
<=> r2_hidden(X3,X2) ) )
| X1 = k3_subset_1(X0,X2) ) ),
inference(ennf_transformation,[],[f536]) ).
fof(f7389,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ! [X2] :
( ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ? [X3] :
( m1_subset_1(X3,X0)
& ( r2_hidden(X3,X1)
<=> r2_hidden(X3,X2) ) )
| X1 = k3_subset_1(X0,X2) ) ),
inference(flattening,[],[f7388]) ).
fof(f7390,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ! [X2] :
( ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ? [X3] :
( m1_subset_1(X3,X0)
& ( ~ r2_hidden(X3,X1)
<~> r2_hidden(X3,X2) ) )
| X1 = k3_subset_1(X0,X2) ) ),
inference(ennf_transformation,[],[f535]) ).
fof(f7391,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ! [X2] :
( ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ? [X3] :
( m1_subset_1(X3,X0)
& ( ~ r2_hidden(X3,X1)
<~> r2_hidden(X3,X2) ) )
| X1 = k3_subset_1(X0,X2) ) ),
inference(flattening,[],[f7390]) ).
fof(f7392,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ! [X2] :
( ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ? [X3] :
( m1_subset_1(X3,X0)
& ( r2_hidden(X3,X1)
<~> ~ r2_hidden(X3,X2) ) )
| X1 = k3_subset_1(X0,X2) ) ),
inference(ennf_transformation,[],[f534]) ).
fof(f7393,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ! [X2] :
( ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ? [X3] :
( m1_subset_1(X3,X0)
& ( r2_hidden(X3,X1)
<~> ~ r2_hidden(X3,X2) ) )
| X1 = k3_subset_1(X0,X2) ) ),
inference(flattening,[],[f7392]) ).
fof(f7394,plain,
! [X0] :
( k1_xboole_0 = X0
| ! [X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ! [X2] :
( ~ m1_subset_1(X2,X0)
| r2_hidden(X2,X1)
| r2_hidden(X2,k3_subset_1(X0,X1)) ) ) ),
inference(ennf_transformation,[],[f533]) ).
fof(f7395,plain,
! [X0] :
( k1_xboole_0 = X0
| ! [X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ! [X2] :
( ~ m1_subset_1(X2,X0)
| r2_hidden(X2,X1)
| r2_hidden(X2,k3_subset_1(X0,X1)) ) ) ),
inference(flattening,[],[f7394]) ).
fof(f7396,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ! [X2] :
( ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ! [X3] :
( ~ m1_subset_1(X3,k1_zfmisc_1(X0))
| ~ r1_xboole_0(X3,X2)
| ~ r1_tarski(X1,X2)
| r1_tarski(X1,k3_subset_1(X0,X3)) ) ) ),
inference(ennf_transformation,[],[f530]) ).
fof(f7397,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ! [X2] :
( ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ! [X3] :
( ~ m1_subset_1(X3,k1_zfmisc_1(X0))
| ~ r1_xboole_0(X3,X2)
| ~ r1_tarski(X1,X2)
| r1_tarski(X1,k3_subset_1(X0,X3)) ) ) ),
inference(flattening,[],[f7396]) ).
fof(f7398,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ! [X2] :
( ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ r1_xboole_0(k3_subset_1(X0,X1),k3_subset_1(X0,X2))
| ~ r1_xboole_0(X1,X2)
| X1 = k3_subset_1(X0,X2) ) ),
inference(ennf_transformation,[],[f529]) ).
fof(f7399,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ! [X2] :
( ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ r1_xboole_0(k3_subset_1(X0,X1),k3_subset_1(X0,X2))
| ~ r1_xboole_0(X1,X2)
| X1 = k3_subset_1(X0,X2) ) ),
inference(flattening,[],[f7398]) ).
fof(f7400,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ! [X2] :
( ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ( r1_xboole_0(X1,k3_subset_1(X0,X2))
<=> r1_tarski(X1,X2) ) ) ),
inference(ennf_transformation,[],[f527]) ).
fof(f7401,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ! [X2] :
( ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ( r1_xboole_0(X1,X2)
<=> r1_tarski(X1,k3_subset_1(X0,X2)) ) ) ),
inference(ennf_transformation,[],[f526]) ).
fof(f7402,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ! [X2] :
( ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| r1_tarski(k3_subset_1(X0,k4_subset_1(X0,X1,X2)),k3_subset_1(X0,X1)) ) ),
inference(ennf_transformation,[],[f524]) ).
fof(f7403,plain,
! [X0,X1,X2] :
( ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ r1_tarski(X1,k3_subset_1(X0,X2))
| ~ r1_tarski(X1,X2)
| X1 = k1_xboole_0 ),
inference(ennf_transformation,[],[f523]) ).
fof(f7404,plain,
! [X0,X1,X2] :
( ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ r1_tarski(X1,k3_subset_1(X0,X2))
| ~ r1_tarski(X1,X2)
| X1 = k1_xboole_0 ),
inference(flattening,[],[f7403]) ).
fof(f7405,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ! [X2] :
( ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ r1_tarski(k3_subset_1(X0,X1),X2)
| r1_tarski(k3_subset_1(X0,X2),X1) ) ),
inference(ennf_transformation,[],[f519]) ).
fof(f7406,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ! [X2] :
( ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ r1_tarski(k3_subset_1(X0,X1),X2)
| r1_tarski(k3_subset_1(X0,X2),X1) ) ),
inference(flattening,[],[f7405]) ).
fof(f7407,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ! [X2] :
( ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ r1_tarski(X1,k3_subset_1(X0,X2))
| r1_tarski(X2,k3_subset_1(X0,X1)) ) ),
inference(ennf_transformation,[],[f518]) ).
fof(f7408,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ! [X2] :
( ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ r1_tarski(X1,k3_subset_1(X0,X2))
| r1_tarski(X2,k3_subset_1(X0,X1)) ) ),
inference(flattening,[],[f7407]) ).
fof(f7409,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ! [X2] :
( ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ( r1_tarski(X1,X2)
<=> r1_tarski(k3_subset_1(X0,X2),k3_subset_1(X0,X1)) ) ) ),
inference(ennf_transformation,[],[f514]) ).
fof(f7410,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| r1_xboole_0(X1,k3_subset_1(X0,X1)) ),
inference(ennf_transformation,[],[f509]) ).
fof(f7411,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| k3_subset_1(X0,X1) = k4_xboole_0(X0,X1) ),
inference(ennf_transformation,[],[f493]) ).
fof(f7412,plain,
! [X0,X1] :
( ~ v5_membered(X1)
| ~ r2_hidden(X1,X0)
| v5_membered(k1_setfam_1(X0)) ),
inference(ennf_transformation,[],[f3108]) ).
fof(f7413,plain,
! [X0,X1] :
( ~ v5_membered(X1)
| ~ r2_hidden(X1,X0)
| v5_membered(k1_setfam_1(X0)) ),
inference(flattening,[],[f7412]) ).
fof(f7414,plain,
! [X0] :
( ? [X1] :
( r2_hidden(X1,X0)
& ~ v5_membered(X1) )
| v5_membered(k3_tarski(X0)) ),
inference(ennf_transformation,[],[f3103]) ).
fof(f7415,plain,
! [X0] :
( ~ v5_membered(X0)
| ! [X1] :
( ~ v5_membered(X1)
| ( r1_xboole_0(X0,X1)
<=> ! [X2] :
( ~ v4_ordinal2(X2)
| ~ r2_hidden(X2,X1)
| ~ r2_hidden(X2,X0) ) ) ) ),
inference(ennf_transformation,[],[f3098]) ).
fof(f7416,plain,
! [X0] :
( ~ v5_membered(X0)
| ! [X1] :
( ~ v5_membered(X1)
| ( r1_xboole_0(X0,X1)
<=> ! [X2] :
( ~ v4_ordinal2(X2)
| ~ r2_hidden(X2,X1)
| ~ r2_hidden(X2,X0) ) ) ) ),
inference(flattening,[],[f7415]) ).
fof(f7417,plain,
! [X0] :
( ~ v5_membered(X0)
| ! [X1] :
( ~ v5_membered(X1)
| ( X0 = X1
<=> ! [X2] :
( ~ v4_ordinal2(X2)
| ( r2_hidden(X2,X0)
<=> r2_hidden(X2,X1) ) ) ) ) ),
inference(ennf_transformation,[],[f3093]) ).
fof(f7418,plain,
! [X0] :
( ~ v5_membered(X0)
| ! [X1] :
( ~ v5_membered(X1)
| ( r1_tarski(X0,X1)
<=> ! [X2] :
( ~ v4_ordinal2(X2)
| ~ r2_hidden(X2,X0)
| r2_hidden(X2,X1) ) ) ) ),
inference(ennf_transformation,[],[f3088]) ).
fof(f7419,plain,
! [X0] :
( ~ v5_membered(X0)
| ! [X1] :
( ~ v5_membered(X1)
| ( r1_tarski(X0,X1)
<=> ! [X2] :
( ~ v4_ordinal2(X2)
| ~ r2_hidden(X2,X0)
| r2_hidden(X2,X1) ) ) ) ),
inference(flattening,[],[f7418]) ).
fof(f7420,plain,
! [X0,X1] :
( ~ v5_membered(X1)
| ~ r1_tarski(X0,X1)
| v5_membered(X0) ),
inference(ennf_transformation,[],[f3083]) ).
fof(f7421,plain,
! [X0,X1] :
( ~ v5_membered(X1)
| ~ r1_tarski(X0,X1)
| v5_membered(X0) ),
inference(flattening,[],[f7420]) ).
fof(f7422,plain,
! [X0] :
( ~ v5_membered(X0)
| ? [X1] :
( v4_ordinal2(X1)
& ~ r2_hidden(X1,X0) )
| X0 = k5_numbers ),
inference(ennf_transformation,[],[f3078]) ).
fof(f7423,plain,
! [X0] :
( ~ v5_membered(X0)
| ? [X1] :
( v4_ordinal2(X1)
& ~ r2_hidden(X1,X0) )
| X0 = k5_numbers ),
inference(flattening,[],[f7422]) ).
fof(f7424,plain,
! [X0] :
( ~ v5_membered(X0)
| v1_xboole_0(X0)
| ? [X1] :
( r2_hidden(X1,X0)
& v4_ordinal2(X1) ) ),
inference(ennf_transformation,[],[f3073]) ).
fof(f7425,plain,
! [X0] :
( ~ v5_membered(X0)
| v1_xboole_0(X0)
| ? [X1] :
( r2_hidden(X1,X0)
& v4_ordinal2(X1) ) ),
inference(flattening,[],[f7424]) ).
fof(f7426,plain,
! [X0] :
( ~ v5_membered(X0)
| r1_tarski(X0,k5_numbers) ),
inference(ennf_transformation,[],[f3068]) ).
fof(f7427,plain,
! [X0] :
( v5_membered(X0)
<=> ! [X1] :
( ~ r2_hidden(X1,X0)
| v4_ordinal2(X1) ) ),
inference(ennf_transformation,[],[f3063]) ).
fof(f7428,plain,
! [X0,X1] :
( ~ v5_membered(X1)
| ~ v5_membered(X0)
| ( v5_membered(k5_xboole_0(X0,X1))
& v4_membered(k5_xboole_0(X0,X1))
& v3_membered(k5_xboole_0(X0,X1))
& v2_membered(k5_xboole_0(X0,X1))
& v1_membered(k5_xboole_0(X0,X1)) ) ),
inference(ennf_transformation,[],[f3058]) ).
fof(f7429,plain,
! [X0,X1] :
( ~ v5_membered(X1)
| ~ v5_membered(X0)
| ( v5_membered(k5_xboole_0(X0,X1))
& v4_membered(k5_xboole_0(X0,X1))
& v3_membered(k5_xboole_0(X0,X1))
& v2_membered(k5_xboole_0(X0,X1))
& v1_membered(k5_xboole_0(X0,X1)) ) ),
inference(flattening,[],[f7428]) ).
fof(f7430,plain,
! [X0,X1] :
( ~ v5_membered(X0)
| ( v5_membered(k4_xboole_0(X0,X1))
& v4_membered(k4_xboole_0(X0,X1))
& v3_membered(k4_xboole_0(X0,X1))
& v2_membered(k4_xboole_0(X0,X1))
& v1_membered(k4_xboole_0(X0,X1)) ) ),
inference(ennf_transformation,[],[f3053]) ).
fof(f7431,plain,
! [X0,X1] :
( ~ v5_membered(X0)
| ( v5_membered(k3_xboole_0(X1,X0))
& v4_membered(k3_xboole_0(X1,X0))
& v3_membered(k3_xboole_0(X1,X0))
& v2_membered(k3_xboole_0(X1,X0))
& v1_membered(k3_xboole_0(X1,X0)) ) ),
inference(ennf_transformation,[],[f3048]) ).
fof(f7433,plain,
! [X0,X1] :
( ~ v5_membered(X1)
| ~ v5_membered(X0)
| ( v5_membered(k2_xboole_0(X0,X1))
& v4_membered(k2_xboole_0(X0,X1))
& v3_membered(k2_xboole_0(X0,X1))
& v2_membered(k2_xboole_0(X0,X1))
& v1_membered(k2_xboole_0(X0,X1)) ) ),
inference(ennf_transformation,[],[f3038]) ).
fof(f7434,plain,
! [X0,X1] :
( ~ v5_membered(X1)
| ~ v5_membered(X0)
| ( v5_membered(k2_xboole_0(X0,X1))
& v4_membered(k2_xboole_0(X0,X1))
& v3_membered(k2_xboole_0(X0,X1))
& v2_membered(k2_xboole_0(X0,X1))
& v1_membered(k2_xboole_0(X0,X1)) ) ),
inference(flattening,[],[f7433]) ).
fof(f7435,plain,
! [X0] :
( ~ v5_membered(X0)
| ! [X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ( v5_membered(X1)
& v4_membered(X1)
& v3_membered(X1)
& v2_membered(X1)
& v1_membered(X1) ) ) ),
inference(ennf_transformation,[],[f3033]) ).
fof(f7436,plain,
! [X0,X1,X2] :
( ~ v4_ordinal2(X2)
| ~ v4_ordinal2(X1)
| ~ v4_ordinal2(X0)
| ( v5_membered(k1_enumset1(X0,X1,X2))
& v4_membered(k1_enumset1(X0,X1,X2))
& v3_membered(k1_enumset1(X0,X1,X2))
& v2_membered(k1_enumset1(X0,X1,X2))
& v1_membered(k1_enumset1(X0,X1,X2)) ) ),
inference(ennf_transformation,[],[f3028]) ).
fof(f7437,plain,
! [X0,X1,X2] :
( ~ v4_ordinal2(X2)
| ~ v4_ordinal2(X1)
| ~ v4_ordinal2(X0)
| ( v5_membered(k1_enumset1(X0,X1,X2))
& v4_membered(k1_enumset1(X0,X1,X2))
& v3_membered(k1_enumset1(X0,X1,X2))
& v2_membered(k1_enumset1(X0,X1,X2))
& v1_membered(k1_enumset1(X0,X1,X2)) ) ),
inference(flattening,[],[f7436]) ).
fof(f7438,plain,
! [X0,X1] :
( ~ v4_ordinal2(X1)
| ~ v4_ordinal2(X0)
| ( v5_membered(k2_tarski(X0,X1))
& v4_membered(k2_tarski(X0,X1))
& v3_membered(k2_tarski(X0,X1))
& v2_membered(k2_tarski(X0,X1))
& v1_membered(k2_tarski(X0,X1)) ) ),
inference(ennf_transformation,[],[f3023]) ).
fof(f7439,plain,
! [X0,X1] :
( ~ v4_ordinal2(X1)
| ~ v4_ordinal2(X0)
| ( v5_membered(k2_tarski(X0,X1))
& v4_membered(k2_tarski(X0,X1))
& v3_membered(k2_tarski(X0,X1))
& v2_membered(k2_tarski(X0,X1))
& v1_membered(k2_tarski(X0,X1)) ) ),
inference(flattening,[],[f7438]) ).
fof(f7440,plain,
! [X0] :
( ~ v4_ordinal2(X0)
| ( v5_membered(k1_tarski(X0))
& v4_membered(k1_tarski(X0))
& v3_membered(k1_tarski(X0))
& v2_membered(k1_tarski(X0))
& v1_membered(k1_tarski(X0)) ) ),
inference(ennf_transformation,[],[f3018]) ).
fof(f7441,plain,
! [X0] :
( ~ v1_xboole_0(X0)
| ( v5_membered(X0)
& v4_membered(X0)
& v3_membered(X0)
& v2_membered(X0)
& v1_membered(X0) ) ),
inference(ennf_transformation,[],[f3013]) ).
fof(f7442,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(k5_numbers))
| ( v5_membered(X0)
& v4_membered(X0)
& v3_membered(X0)
& v2_membered(X0)
& v1_membered(X0) ) ),
inference(ennf_transformation,[],[f3001]) ).
fof(f7443,plain,
! [X0] :
( ~ v5_membered(X0)
| v4_membered(X0) ),
inference(ennf_transformation,[],[f2992]) ).
fof(f7444,plain,
! [X0] :
( ? [X1] :
( r2_hidden(X1,X0)
& ~ v4_membered(X1) )
| v4_membered(k3_tarski(X0)) ),
inference(ennf_transformation,[],[f3102]) ).
fof(f7445,plain,
! [X0] :
( ~ v4_membered(X0)
| ! [X1] :
( ~ v4_membered(X1)
| ( r1_xboole_0(X0,X1)
<=> ! [X2] :
( ~ v1_int_1(X2)
| ~ r2_hidden(X2,X1)
| ~ r2_hidden(X2,X0) ) ) ) ),
inference(ennf_transformation,[],[f3097]) ).
fof(f7446,plain,
! [X0] :
( ~ v4_membered(X0)
| ! [X1] :
( ~ v4_membered(X1)
| ( r1_xboole_0(X0,X1)
<=> ! [X2] :
( ~ v1_int_1(X2)
| ~ r2_hidden(X2,X1)
| ~ r2_hidden(X2,X0) ) ) ) ),
inference(flattening,[],[f7445]) ).
fof(f7447,plain,
! [X0] :
( ~ v4_membered(X0)
| ! [X1] :
( ~ v4_membered(X1)
| ( X0 = X1
<=> ! [X2] :
( ~ v1_int_1(X2)
| ( r2_hidden(X2,X0)
<=> r2_hidden(X2,X1) ) ) ) ) ),
inference(ennf_transformation,[],[f3092]) ).
fof(f7448,plain,
! [X0] :
( ~ v4_membered(X0)
| ! [X1] :
( ~ v4_membered(X1)
| ( r1_tarski(X0,X1)
<=> ! [X2] :
( ~ v1_int_1(X2)
| ~ r2_hidden(X2,X0)
| r2_hidden(X2,X1) ) ) ) ),
inference(ennf_transformation,[],[f3087]) ).
fof(f7449,plain,
! [X0] :
( ~ v4_membered(X0)
| ! [X1] :
( ~ v4_membered(X1)
| ( r1_tarski(X0,X1)
<=> ! [X2] :
( ~ v1_int_1(X2)
| ~ r2_hidden(X2,X0)
| r2_hidden(X2,X1) ) ) ) ),
inference(flattening,[],[f7448]) ).
fof(f7450,plain,
! [X0,X1] :
( ~ v4_membered(X1)
| ~ r1_tarski(X0,X1)
| v4_membered(X0) ),
inference(ennf_transformation,[],[f3082]) ).
fof(f7451,plain,
! [X0,X1] :
( ~ v4_membered(X1)
| ~ r1_tarski(X0,X1)
| v4_membered(X0) ),
inference(flattening,[],[f7450]) ).
fof(f7452,plain,
! [X0] :
( ~ v4_membered(X0)
| ? [X1] :
( v1_int_1(X1)
& ~ r2_hidden(X1,X0) )
| X0 = k4_numbers ),
inference(ennf_transformation,[],[f3077]) ).
fof(f7453,plain,
! [X0] :
( ~ v4_membered(X0)
| ? [X1] :
( v1_int_1(X1)
& ~ r2_hidden(X1,X0) )
| X0 = k4_numbers ),
inference(flattening,[],[f7452]) ).
fof(f7454,plain,
! [X0] :
( ~ v4_membered(X0)
| v1_xboole_0(X0)
| ? [X1] :
( r2_hidden(X1,X0)
& v1_int_1(X1) ) ),
inference(ennf_transformation,[],[f3072]) ).
fof(f7455,plain,
! [X0] :
( ~ v4_membered(X0)
| v1_xboole_0(X0)
| ? [X1] :
( r2_hidden(X1,X0)
& v1_int_1(X1) ) ),
inference(flattening,[],[f7454]) ).
fof(f7456,plain,
! [X0] :
( ~ v4_membered(X0)
| r1_tarski(X0,k4_numbers) ),
inference(ennf_transformation,[],[f3067]) ).
fof(f7457,plain,
! [X0] :
( v4_membered(X0)
<=> ! [X1] :
( ~ r2_hidden(X1,X0)
| v1_int_1(X1) ) ),
inference(ennf_transformation,[],[f3062]) ).
fof(f7458,plain,
! [X0,X1] :
( ~ v4_membered(X1)
| ~ v4_membered(X0)
| ( v4_membered(k5_xboole_0(X0,X1))
& v3_membered(k5_xboole_0(X0,X1))
& v2_membered(k5_xboole_0(X0,X1))
& v1_membered(k5_xboole_0(X0,X1)) ) ),
inference(ennf_transformation,[],[f3057]) ).
fof(f7459,plain,
! [X0,X1] :
( ~ v4_membered(X1)
| ~ v4_membered(X0)
| ( v4_membered(k5_xboole_0(X0,X1))
& v3_membered(k5_xboole_0(X0,X1))
& v2_membered(k5_xboole_0(X0,X1))
& v1_membered(k5_xboole_0(X0,X1)) ) ),
inference(flattening,[],[f7458]) ).
fof(f7460,plain,
! [X0,X1] :
( ~ v4_membered(X0)
| ( v4_membered(k4_xboole_0(X0,X1))
& v3_membered(k4_xboole_0(X0,X1))
& v2_membered(k4_xboole_0(X0,X1))
& v1_membered(k4_xboole_0(X0,X1)) ) ),
inference(ennf_transformation,[],[f3052]) ).
fof(f7461,plain,
! [X0,X1] :
( ~ v4_membered(X0)
| ( v4_membered(k3_xboole_0(X1,X0))
& v3_membered(k3_xboole_0(X1,X0))
& v2_membered(k3_xboole_0(X1,X0))
& v1_membered(k3_xboole_0(X1,X0)) ) ),
inference(ennf_transformation,[],[f3046]) ).
fof(f7463,plain,
! [X0,X1] :
( ~ v4_membered(X1)
| ~ v4_membered(X0)
| ( v4_membered(k2_xboole_0(X0,X1))
& v3_membered(k2_xboole_0(X0,X1))
& v2_membered(k2_xboole_0(X0,X1))
& v1_membered(k2_xboole_0(X0,X1)) ) ),
inference(ennf_transformation,[],[f3037]) ).
fof(f7464,plain,
! [X0,X1] :
( ~ v4_membered(X1)
| ~ v4_membered(X0)
| ( v4_membered(k2_xboole_0(X0,X1))
& v3_membered(k2_xboole_0(X0,X1))
& v2_membered(k2_xboole_0(X0,X1))
& v1_membered(k2_xboole_0(X0,X1)) ) ),
inference(flattening,[],[f7463]) ).
fof(f7465,plain,
! [X0] :
( ~ v4_membered(X0)
| ! [X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ( v4_membered(X1)
& v3_membered(X1)
& v2_membered(X1)
& v1_membered(X1) ) ) ),
inference(ennf_transformation,[],[f3032]) ).
fof(f7466,plain,
! [X0,X1,X2] :
( ~ v1_int_1(X2)
| ~ v1_int_1(X1)
| ~ v1_int_1(X0)
| ( v4_membered(k1_enumset1(X0,X1,X2))
& v3_membered(k1_enumset1(X0,X1,X2))
& v2_membered(k1_enumset1(X0,X1,X2))
& v1_membered(k1_enumset1(X0,X1,X2)) ) ),
inference(ennf_transformation,[],[f3027]) ).
fof(f7467,plain,
! [X0,X1,X2] :
( ~ v1_int_1(X2)
| ~ v1_int_1(X1)
| ~ v1_int_1(X0)
| ( v4_membered(k1_enumset1(X0,X1,X2))
& v3_membered(k1_enumset1(X0,X1,X2))
& v2_membered(k1_enumset1(X0,X1,X2))
& v1_membered(k1_enumset1(X0,X1,X2)) ) ),
inference(flattening,[],[f7466]) ).
fof(f7468,plain,
! [X0,X1] :
( ~ v1_int_1(X1)
| ~ v1_int_1(X0)
| ( v4_membered(k2_tarski(X0,X1))
& v3_membered(k2_tarski(X0,X1))
& v2_membered(k2_tarski(X0,X1))
& v1_membered(k2_tarski(X0,X1)) ) ),
inference(ennf_transformation,[],[f3022]) ).
fof(f7469,plain,
! [X0,X1] :
( ~ v1_int_1(X1)
| ~ v1_int_1(X0)
| ( v4_membered(k2_tarski(X0,X1))
& v3_membered(k2_tarski(X0,X1))
& v2_membered(k2_tarski(X0,X1))
& v1_membered(k2_tarski(X0,X1)) ) ),
inference(flattening,[],[f7468]) ).
fof(f7470,plain,
! [X0] :
( ~ v1_int_1(X0)
| ( v4_membered(k1_tarski(X0))
& v3_membered(k1_tarski(X0))
& v2_membered(k1_tarski(X0))
& v1_membered(k1_tarski(X0)) ) ),
inference(ennf_transformation,[],[f3017]) ).
fof(f7471,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(k4_numbers))
| ( v4_membered(X0)
& v3_membered(X0)
& v2_membered(X0)
& v1_membered(X0) ) ),
inference(ennf_transformation,[],[f3000]) ).
fof(f7472,plain,
! [X0] :
( ~ v4_membered(X0)
| v3_membered(X0) ),
inference(ennf_transformation,[],[f2993]) ).
fof(f7473,plain,
! [X0] :
( ? [X1] :
( r2_hidden(X1,X0)
& ~ v3_membered(X1) )
| v3_membered(k3_tarski(X0)) ),
inference(ennf_transformation,[],[f3101]) ).
fof(f7474,plain,
! [X0,X1] :
( ~ v3_membered(X1)
| ~ r1_tarski(X0,X1)
| v3_membered(X0) ),
inference(ennf_transformation,[],[f3081]) ).
fof(f7475,plain,
! [X0,X1] :
( ~ v3_membered(X1)
| ~ r1_tarski(X0,X1)
| v3_membered(X0) ),
inference(flattening,[],[f7474]) ).
fof(f7476,plain,
! [X0] :
( ~ v3_membered(X0)
| r1_tarski(X0,k3_numbers) ),
inference(ennf_transformation,[],[f3066]) ).
fof(f7477,plain,
! [X0,X1] :
( ~ v3_membered(X1)
| ~ v3_membered(X0)
| ( v3_membered(k5_xboole_0(X0,X1))
& v2_membered(k5_xboole_0(X0,X1))
& v1_membered(k5_xboole_0(X0,X1)) ) ),
inference(ennf_transformation,[],[f3056]) ).
fof(f7478,plain,
! [X0,X1] :
( ~ v3_membered(X1)
| ~ v3_membered(X0)
| ( v3_membered(k5_xboole_0(X0,X1))
& v2_membered(k5_xboole_0(X0,X1))
& v1_membered(k5_xboole_0(X0,X1)) ) ),
inference(flattening,[],[f7477]) ).
fof(f7479,plain,
! [X0,X1] :
( ~ v3_membered(X0)
| ( v3_membered(k4_xboole_0(X0,X1))
& v2_membered(k4_xboole_0(X0,X1))
& v1_membered(k4_xboole_0(X0,X1)) ) ),
inference(ennf_transformation,[],[f3051]) ).
fof(f7480,plain,
! [X0,X1] :
( ~ v3_membered(X0)
| ( v3_membered(k3_xboole_0(X1,X0))
& v2_membered(k3_xboole_0(X1,X0))
& v1_membered(k3_xboole_0(X1,X0)) ) ),
inference(ennf_transformation,[],[f3044]) ).
fof(f7482,plain,
! [X0,X1] :
( ~ v3_membered(X1)
| ~ v3_membered(X0)
| ( v3_membered(k2_xboole_0(X0,X1))
& v2_membered(k2_xboole_0(X0,X1))
& v1_membered(k2_xboole_0(X0,X1)) ) ),
inference(ennf_transformation,[],[f3036]) ).
fof(f7483,plain,
! [X0,X1] :
( ~ v3_membered(X1)
| ~ v3_membered(X0)
| ( v3_membered(k2_xboole_0(X0,X1))
& v2_membered(k2_xboole_0(X0,X1))
& v1_membered(k2_xboole_0(X0,X1)) ) ),
inference(flattening,[],[f7482]) ).
fof(f7484,plain,
! [X0] :
( ~ v3_membered(X0)
| ! [X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ( v3_membered(X1)
& v2_membered(X1)
& v1_membered(X1) ) ) ),
inference(ennf_transformation,[],[f3031]) ).
fof(f7485,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(k3_numbers))
| ( v3_membered(X0)
& v2_membered(X0)
& v1_membered(X0) ) ),
inference(ennf_transformation,[],[f2999]) ).
fof(f7486,plain,
! [X0] :
( ~ v3_membered(X0)
| v2_membered(X0) ),
inference(ennf_transformation,[],[f2994]) ).
fof(f7487,plain,
! [X0] :
( ? [X1] :
( r2_hidden(X1,X0)
& ~ v2_membered(X1) )
| v2_membered(k3_tarski(X0)) ),
inference(ennf_transformation,[],[f3100]) ).
fof(f7488,plain,
! [X0] :
( ~ v2_membered(X0)
| ! [X1] :
( ~ v2_membered(X1)
| ( r1_xboole_0(X0,X1)
<=> ! [X2] :
( ~ v1_xreal_0(X2)
| ~ r2_hidden(X2,X1)
| ~ r2_hidden(X2,X0) ) ) ) ),
inference(ennf_transformation,[],[f3095]) ).
fof(f7489,plain,
! [X0] :
( ~ v2_membered(X0)
| ! [X1] :
( ~ v2_membered(X1)
| ( r1_xboole_0(X0,X1)
<=> ! [X2] :
( ~ v1_xreal_0(X2)
| ~ r2_hidden(X2,X1)
| ~ r2_hidden(X2,X0) ) ) ) ),
inference(flattening,[],[f7488]) ).
fof(f7490,plain,
! [X0] :
( ~ v2_membered(X0)
| ! [X1] :
( ~ v2_membered(X1)
| ( X0 = X1
<=> ! [X2] :
( ~ v1_xreal_0(X2)
| ( r2_hidden(X2,X0)
<=> r2_hidden(X2,X1) ) ) ) ) ),
inference(ennf_transformation,[],[f3090]) ).
fof(f7491,plain,
! [X0] :
( ~ v2_membered(X0)
| ! [X1] :
( ~ v2_membered(X1)
| ( r1_tarski(X0,X1)
<=> ! [X2] :
( ~ v1_xreal_0(X2)
| ~ r2_hidden(X2,X0)
| r2_hidden(X2,X1) ) ) ) ),
inference(ennf_transformation,[],[f3085]) ).
fof(f7492,plain,
! [X0] :
( ~ v2_membered(X0)
| ! [X1] :
( ~ v2_membered(X1)
| ( r1_tarski(X0,X1)
<=> ! [X2] :
( ~ v1_xreal_0(X2)
| ~ r2_hidden(X2,X0)
| r2_hidden(X2,X1) ) ) ) ),
inference(flattening,[],[f7491]) ).
fof(f7493,plain,
! [X0,X1] :
( ~ v2_membered(X1)
| ~ r1_tarski(X0,X1)
| v2_membered(X0) ),
inference(ennf_transformation,[],[f3080]) ).
fof(f7494,plain,
! [X0,X1] :
( ~ v2_membered(X1)
| ~ r1_tarski(X0,X1)
| v2_membered(X0) ),
inference(flattening,[],[f7493]) ).
fof(f7495,plain,
! [X0] :
( ~ v2_membered(X0)
| ? [X1] :
( v1_xreal_0(X1)
& ~ r2_hidden(X1,X0) )
| X0 = k1_numbers ),
inference(ennf_transformation,[],[f3075]) ).
fof(f7496,plain,
! [X0] :
( ~ v2_membered(X0)
| ? [X1] :
( v1_xreal_0(X1)
& ~ r2_hidden(X1,X0) )
| X0 = k1_numbers ),
inference(flattening,[],[f7495]) ).
fof(f7497,plain,
! [X0] :
( ~ v2_membered(X0)
| v1_xboole_0(X0)
| ? [X1] :
( r2_hidden(X1,X0)
& v1_xreal_0(X1) ) ),
inference(ennf_transformation,[],[f3070]) ).
fof(f7498,plain,
! [X0] :
( ~ v2_membered(X0)
| v1_xboole_0(X0)
| ? [X1] :
( r2_hidden(X1,X0)
& v1_xreal_0(X1) ) ),
inference(flattening,[],[f7497]) ).
fof(f7499,plain,
! [X0] :
( ~ v2_membered(X0)
| r1_tarski(X0,k1_numbers) ),
inference(ennf_transformation,[],[f3065]) ).
fof(f7500,plain,
! [X0] :
( v2_membered(X0)
<=> ! [X1] :
( ~ r2_hidden(X1,X0)
| v1_xreal_0(X1) ) ),
inference(ennf_transformation,[],[f3060]) ).
fof(f7501,plain,
! [X0,X1] :
( ~ v2_membered(X0)
| ( v2_membered(k4_xboole_0(X0,X1))
& v1_membered(k4_xboole_0(X0,X1)) ) ),
inference(ennf_transformation,[],[f3050]) ).
fof(f7502,plain,
! [X0,X1] :
( ~ v2_membered(X0)
| ( v2_membered(k3_xboole_0(X1,X0))
& v1_membered(k3_xboole_0(X1,X0)) ) ),
inference(ennf_transformation,[],[f3042]) ).
fof(f7504,plain,
! [X0,X1] :
( ~ v2_membered(X1)
| ~ v2_membered(X0)
| ( v2_membered(k2_xboole_0(X0,X1))
& v1_membered(k2_xboole_0(X0,X1)) ) ),
inference(ennf_transformation,[],[f3035]) ).
fof(f7505,plain,
! [X0,X1] :
( ~ v2_membered(X1)
| ~ v2_membered(X0)
| ( v2_membered(k2_xboole_0(X0,X1))
& v1_membered(k2_xboole_0(X0,X1)) ) ),
inference(flattening,[],[f7504]) ).
fof(f7506,plain,
! [X0] :
( ~ v2_membered(X0)
| ! [X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ( v2_membered(X1)
& v1_membered(X1) ) ) ),
inference(ennf_transformation,[],[f3030]) ).
fof(f7507,plain,
! [X0,X1] :
( ~ v1_xreal_0(X1)
| ~ v1_xreal_0(X0)
| ( v2_membered(k2_tarski(X0,X1))
& v1_membered(k2_tarski(X0,X1)) ) ),
inference(ennf_transformation,[],[f3020]) ).
fof(f7508,plain,
! [X0,X1] :
( ~ v1_xreal_0(X1)
| ~ v1_xreal_0(X0)
| ( v2_membered(k2_tarski(X0,X1))
& v1_membered(k2_tarski(X0,X1)) ) ),
inference(flattening,[],[f7507]) ).
fof(f7509,plain,
! [X0] :
( ~ v1_xreal_0(X0)
| ( v2_membered(k1_tarski(X0))
& v1_membered(k1_tarski(X0)) ) ),
inference(ennf_transformation,[],[f3015]) ).
fof(f7510,plain,
! [X0] :
( ~ v2_membered(X0)
| ! [X1] :
( ~ m1_subset_1(X1,X0)
| ( v1_xreal_0(X1)
& v1_xcmplx_0(X1) ) ) ),
inference(ennf_transformation,[],[f3008]) ).
fof(f7511,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(k1_numbers))
| ( v2_membered(X0)
& v1_membered(X0) ) ),
inference(ennf_transformation,[],[f2998]) ).
fof(f7512,plain,
! [X0] :
( ~ v2_membered(X0)
| v1_membered(X0) ),
inference(ennf_transformation,[],[f2995]) ).
fof(f7513,plain,
! [X0] :
( ? [X1] :
( r2_hidden(X1,X0)
& ~ v1_membered(X1) )
| v1_membered(k3_tarski(X0)) ),
inference(ennf_transformation,[],[f3099]) ).
fof(f7514,plain,
! [X0] :
( ~ v1_membered(X0)
| ! [X1] :
( ~ v1_membered(X1)
| ( r1_xboole_0(X0,X1)
<=> ! [X2] :
( ~ v1_xcmplx_0(X2)
| ~ r2_hidden(X2,X1)
| ~ r2_hidden(X2,X0) ) ) ) ),
inference(ennf_transformation,[],[f3094]) ).
fof(f7515,plain,
! [X0] :
( ~ v1_membered(X0)
| ! [X1] :
( ~ v1_membered(X1)
| ( r1_xboole_0(X0,X1)
<=> ! [X2] :
( ~ v1_xcmplx_0(X2)
| ~ r2_hidden(X2,X1)
| ~ r2_hidden(X2,X0) ) ) ) ),
inference(flattening,[],[f7514]) ).
fof(f7516,plain,
! [X0] :
( ~ v1_membered(X0)
| ! [X1] :
( ~ v1_membered(X1)
| ( X0 = X1
<=> ! [X2] :
( ~ v1_xcmplx_0(X2)
| ( r2_hidden(X2,X0)
<=> r2_hidden(X2,X1) ) ) ) ) ),
inference(ennf_transformation,[],[f3089]) ).
fof(f7517,plain,
! [X0] :
( ~ v1_membered(X0)
| ! [X1] :
( ~ v1_membered(X1)
| ( r1_tarski(X0,X1)
<=> ! [X2] :
( ~ v1_xcmplx_0(X2)
| ~ r2_hidden(X2,X0)
| r2_hidden(X2,X1) ) ) ) ),
inference(ennf_transformation,[],[f3084]) ).
fof(f7518,plain,
! [X0] :
( ~ v1_membered(X0)
| ! [X1] :
( ~ v1_membered(X1)
| ( r1_tarski(X0,X1)
<=> ! [X2] :
( ~ v1_xcmplx_0(X2)
| ~ r2_hidden(X2,X0)
| r2_hidden(X2,X1) ) ) ) ),
inference(flattening,[],[f7517]) ).
fof(f7519,plain,
! [X0,X1] :
( ~ v1_membered(X1)
| ~ r1_tarski(X0,X1)
| v1_membered(X0) ),
inference(ennf_transformation,[],[f3079]) ).
fof(f7520,plain,
! [X0,X1] :
( ~ v1_membered(X1)
| ~ r1_tarski(X0,X1)
| v1_membered(X0) ),
inference(flattening,[],[f7519]) ).
fof(f7521,plain,
! [X0] :
( ~ v1_membered(X0)
| v1_xboole_0(X0)
| ? [X1] :
( r2_hidden(X1,X0)
& v1_xcmplx_0(X1) ) ),
inference(ennf_transformation,[],[f3069]) ).
fof(f7522,plain,
! [X0] :
( ~ v1_membered(X0)
| v1_xboole_0(X0)
| ? [X1] :
( r2_hidden(X1,X0)
& v1_xcmplx_0(X1) ) ),
inference(flattening,[],[f7521]) ).
fof(f7523,plain,
! [X0] :
( v1_membered(X0)
<=> ! [X1] :
( ~ r2_hidden(X1,X0)
| v1_xcmplx_0(X1) ) ),
inference(ennf_transformation,[],[f3059]) ).
fof(f7524,plain,
! [X0,X1] :
( ~ v1_membered(X0)
| v1_membered(k4_xboole_0(X0,X1)) ),
inference(ennf_transformation,[],[f3049]) ).
fof(f7525,plain,
! [X0,X1] :
( ~ v1_membered(X0)
| v1_membered(k3_xboole_0(X1,X0)) ),
inference(ennf_transformation,[],[f3040]) ).
fof(f7527,plain,
! [X0,X1] :
( ~ v1_membered(X1)
| ~ v1_membered(X0)
| v1_membered(k2_xboole_0(X0,X1)) ),
inference(ennf_transformation,[],[f3034]) ).
fof(f7528,plain,
! [X0,X1] :
( ~ v1_membered(X1)
| ~ v1_membered(X0)
| v1_membered(k2_xboole_0(X0,X1)) ),
inference(flattening,[],[f7527]) ).
fof(f7530,plain,
! [X0,X1] :
( ~ v1_xcmplx_0(X1)
| ~ v1_xcmplx_0(X0)
| v1_membered(k2_tarski(X0,X1)) ),
inference(ennf_transformation,[],[f3019]) ).
fof(f7531,plain,
! [X0,X1] :
( ~ v1_xcmplx_0(X1)
| ~ v1_xcmplx_0(X0)
| v1_membered(k2_tarski(X0,X1)) ),
inference(flattening,[],[f7530]) ).
fof(f7532,plain,
! [X0] :
( ~ v1_xcmplx_0(X0)
| v1_membered(k1_tarski(X0)) ),
inference(ennf_transformation,[],[f3014]) ).
fof(f7533,plain,
! [X0] :
( ~ v1_membered(X0)
| ! [X1] :
( ~ m1_subset_1(X1,X0)
| v1_xcmplx_0(X1) ) ),
inference(ennf_transformation,[],[f3007]) ).
fof(f7534,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ! [X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| r1_tarski(k2_tops_1(X0,k6_pre_topc(X0,X1)),k2_tops_1(X0,X1)) ) ),
inference(ennf_transformation,[],[f4798]) ).
fof(f7535,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ! [X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| k6_pre_topc(X0,X1) = k4_subset_1(u1_struct_0(X0),X1,k2_tops_1(X0,X1)) ) ),
inference(ennf_transformation,[],[f4791]) ).
fof(f7536,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ! [X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| r1_tarski(k2_tops_1(X0,X1),k6_pre_topc(X0,X1)) ) ),
inference(ennf_transformation,[],[f4789]) ).
fof(f7537,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ! [X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| k2_tops_1(X0,X1) = k5_subset_1(u1_struct_0(X0),k6_pre_topc(X0,X1),k6_pre_topc(X0,k3_subset_1(u1_struct_0(X0),X1))) ) ),
inference(ennf_transformation,[],[f4785]) ).
fof(f7538,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ! [X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ! [X2] :
( ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
| ~ v3_pre_topc(X1,X0)
| k6_pre_topc(X0,k5_subset_1(u1_struct_0(X0),X1,k6_pre_topc(X0,X2))) = k6_pre_topc(X0,k5_subset_1(u1_struct_0(X0),X1,X2)) ) ) ),
inference(ennf_transformation,[],[f4765]) ).
fof(f7539,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ! [X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ! [X2] :
( ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
| ~ v3_pre_topc(X1,X0)
| k6_pre_topc(X0,k5_subset_1(u1_struct_0(X0),X1,k6_pre_topc(X0,X2))) = k6_pre_topc(X0,k5_subset_1(u1_struct_0(X0),X1,X2)) ) ) ),
inference(flattening,[],[f7538]) ).
fof(f7540,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ! [X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ! [X2] :
( ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
| ~ v3_pre_topc(X1,X0)
| r1_tarski(k5_subset_1(u1_struct_0(X0),X1,k6_pre_topc(X0,X2)),k6_pre_topc(X0,k5_subset_1(u1_struct_0(X0),X1,X2))) ) ) ),
inference(ennf_transformation,[],[f4764]) ).
fof(f7541,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ! [X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ! [X2] :
( ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
| ~ v3_pre_topc(X1,X0)
| r1_tarski(k5_subset_1(u1_struct_0(X0),X1,k6_pre_topc(X0,X2)),k6_pre_topc(X0,k5_subset_1(u1_struct_0(X0),X1,X2))) ) ) ),
inference(flattening,[],[f7540]) ).
fof(f7542,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ! [X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| k6_pre_topc(X0,k6_pre_topc(X0,X1)) = k6_pre_topc(X0,X1) ) ),
inference(ennf_transformation,[],[f4750]) ).
fof(f7543,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0)
| m1_subset_1(k6_pre_topc(X0,X1),k1_zfmisc_1(u1_struct_0(X0))) ),
inference(ennf_transformation,[],[f4697]) ).
fof(f7544,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0)
| m1_subset_1(k6_pre_topc(X0,X1),k1_zfmisc_1(u1_struct_0(X0))) ),
inference(flattening,[],[f7543]) ).
fof(f7545,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ! [X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ! [X2] :
( ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
| r1_tarski(k6_pre_topc(X0,k5_subset_1(u1_struct_0(X0),X1,X2)),k5_subset_1(u1_struct_0(X0),k6_pre_topc(X0,X1),k6_pre_topc(X0,X2))) ) ) ),
inference(ennf_transformation,[],[f4681]) ).
fof(f7546,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ! [X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ! [X2] :
( ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
| k6_pre_topc(X0,k4_subset_1(u1_struct_0(X0),X1,X2)) = k4_subset_1(u1_struct_0(X0),k6_pre_topc(X0,X1),k6_pre_topc(X0,X2)) ) ) ),
inference(ennf_transformation,[],[f4680]) ).
fof(f7547,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ! [X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ! [X2] :
( ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
| k6_pre_topc(X0,k4_subset_1(u1_struct_0(X0),X1,X2)) = k4_subset_1(u1_struct_0(X0),k6_pre_topc(X0,X1),k6_pre_topc(X0,X2)) ) ) ),
inference(flattening,[],[f7546]) ).
fof(f7548,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ! [X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ! [X2] :
( ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
| ~ r1_tarski(X1,X2)
| r1_tarski(k6_pre_topc(X0,X1),k6_pre_topc(X0,X2)) ) ) ),
inference(ennf_transformation,[],[f4679]) ).
fof(f7549,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ! [X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ! [X2] :
( ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
| ~ r1_tarski(X1,X2)
| r1_tarski(k6_pre_topc(X0,X1),k6_pre_topc(X0,X2)) ) ) ),
inference(flattening,[],[f7548]) ).
fof(f7550,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ! [X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| r1_tarski(X1,k6_pre_topc(X0,X1)) ) ),
inference(ennf_transformation,[],[f4678]) ).
fof(f7551,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ! [X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ! [X2] :
( ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
| k4_subset_1(u1_struct_0(X0),k2_tops_1(X0,X1),k2_tops_1(X0,X2)) = k4_subset_1(u1_struct_0(X0),k4_subset_1(u1_struct_0(X0),k2_tops_1(X0,k4_subset_1(u1_struct_0(X0),X1,X2)),k2_tops_1(X0,k5_subset_1(u1_struct_0(X0),X1,X2))),k5_subset_1(u1_struct_0(X0),k2_tops_1(X0,X1),k2_tops_1(X0,X2))) ) ) ),
inference(ennf_transformation,[],[f4796]) ).
fof(f7552,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ! [X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ! [X2] :
( ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
| k4_subset_1(u1_struct_0(X0),k2_tops_1(X0,X1),k2_tops_1(X0,X2)) = k4_subset_1(u1_struct_0(X0),k4_subset_1(u1_struct_0(X0),k2_tops_1(X0,k4_subset_1(u1_struct_0(X0),X1,X2)),k2_tops_1(X0,k5_subset_1(u1_struct_0(X0),X1,X2))),k5_subset_1(u1_struct_0(X0),k2_tops_1(X0,X1),k2_tops_1(X0,X2))) ) ) ),
inference(flattening,[],[f7551]) ).
fof(f7553,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ! [X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ! [X2] :
( ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
| r1_tarski(k2_tops_1(X0,k4_subset_1(u1_struct_0(X0),X1,X2)),k4_subset_1(u1_struct_0(X0),k2_tops_1(X0,X1),k2_tops_1(X0,X2))) ) ) ),
inference(ennf_transformation,[],[f4793]) ).
fof(f7554,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ! [X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ! [X2] :
( ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
| r1_tarski(k2_tops_1(X0,k4_subset_1(u1_struct_0(X0),X1,X2)),k4_subset_1(u1_struct_0(X0),k2_tops_1(X0,X1),k2_tops_1(X0,X2))) ) ) ),
inference(flattening,[],[f7553]) ).
fof(f7555,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ! [X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ! [X2] :
( ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
| r1_tarski(k2_tops_1(X0,k5_subset_1(u1_struct_0(X0),X1,X2)),k4_subset_1(u1_struct_0(X0),k2_tops_1(X0,X1),k2_tops_1(X0,X2))) ) ) ),
inference(ennf_transformation,[],[f4792]) ).
fof(f7556,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ! [X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ! [X2] :
( ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
| r1_tarski(k2_tops_1(X0,k5_subset_1(u1_struct_0(X0),X1,X2)),k4_subset_1(u1_struct_0(X0),k2_tops_1(X0,X1),k2_tops_1(X0,X2))) ) ) ),
inference(flattening,[],[f7555]) ).
fof(f7557,plain,
! [X0,X1,X2] :
( ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| k4_subset_1(X0,X1,X2) = k2_xboole_0(X1,X2) ),
inference(ennf_transformation,[],[f570]) ).
fof(f7558,plain,
! [X0,X1,X2] :
( ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| k4_subset_1(X0,X1,X2) = k2_xboole_0(X1,X2) ),
inference(flattening,[],[f7557]) ).
fof(f7559,plain,
! [X0,X1,X2] :
( ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| k4_subset_1(X0,X1,X1) = X1 ),
inference(ennf_transformation,[],[f569]) ).
fof(f7560,plain,
! [X0,X1,X2] :
( ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| k4_subset_1(X0,X1,X1) = X1 ),
inference(flattening,[],[f7559]) ).
fof(f7561,plain,
! [X0,X1,X2] :
( ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| k4_subset_1(X0,X1,X2) = k4_subset_1(X0,X2,X1) ),
inference(ennf_transformation,[],[f568]) ).
fof(f7562,plain,
! [X0,X1,X2] :
( ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| k4_subset_1(X0,X1,X2) = k4_subset_1(X0,X2,X1) ),
inference(flattening,[],[f7561]) ).
fof(f7563,plain,
! [X0,X1,X2] :
( ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| m1_subset_1(k4_subset_1(X0,X1,X2),k1_zfmisc_1(X0)) ),
inference(ennf_transformation,[],[f567]) ).
fof(f7564,plain,
! [X0,X1,X2] :
( ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| m1_subset_1(k4_subset_1(X0,X1,X2),k1_zfmisc_1(X0)) ),
inference(flattening,[],[f7563]) ).
fof(f7565,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ! [X2] :
( ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| k3_subset_1(X0,k5_subset_1(X0,X1,X2)) = k4_subset_1(X0,k3_subset_1(X0,X1),k3_subset_1(X0,X2)) ) ),
inference(ennf_transformation,[],[f513]) ).
fof(f7566,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ! [X2] :
( ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| k3_subset_1(X0,k4_subset_1(X0,X1,X2)) = k5_subset_1(X0,k3_subset_1(X0,X1),k3_subset_1(X0,X2)) ) ),
inference(ennf_transformation,[],[f512]) ).
fof(f7567,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ! [X2] :
( ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ! [X3] :
( ~ m1_subset_1(X3,k1_zfmisc_1(X0))
| ? [X4] :
( m1_subset_1(X4,X0)
& ( r2_hidden(X4,X1)
<~> ( r2_hidden(X4,X3)
| r2_hidden(X4,X2) ) ) )
| X1 = k4_subset_1(X0,X2,X3) ) ) ),
inference(ennf_transformation,[],[f498]) ).
fof(f7568,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ! [X2] :
( ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ! [X3] :
( ~ m1_subset_1(X3,k1_zfmisc_1(X0))
| ? [X4] :
( m1_subset_1(X4,X0)
& ( r2_hidden(X4,X1)
<~> ( r2_hidden(X4,X3)
| r2_hidden(X4,X2) ) ) )
| X1 = k4_subset_1(X0,X2,X3) ) ) ),
inference(flattening,[],[f7567]) ).
fof(f7569,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ! [X1] :
( ~ m1_pre_topc(X1,X0)
| r1_tarski(u1_struct_0(X1),u1_struct_0(X0)) ) ),
inference(ennf_transformation,[],[f5862]) ).
fof(f7570,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ? [X1] : m1_pre_topc(X1,X0) ),
inference(ennf_transformation,[],[f4686]) ).
fof(f7571,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ! [X1] :
( ~ m1_pre_topc(X1,X0)
| l1_pre_topc(X1) ) ),
inference(ennf_transformation,[],[f4685]) ).
fof(f7572,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ! [X1] :
( ~ m1_pre_topc(X1,X0)
| ! [X2] :
( ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0))) ) ) ),
inference(ennf_transformation,[],[f4668]) ).
fof(f7573,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ! [X1] :
( ~ m1_pre_topc(X1,X0)
| v2_pre_topc(X1) ) ),
inference(ennf_transformation,[],[f4611]) ).
fof(f7574,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ! [X1] :
( ~ m1_pre_topc(X1,X0)
| v2_pre_topc(X1) ) ),
inference(flattening,[],[f7573]) ).
fof(f7575,plain,
! [X0,X1] :
( ~ m1_eqrel_1(X1,X0)
| ! [X2] :
( ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| ! [X3] :
( ~ m1_subset_1(X3,k1_zfmisc_1(X1))
| k3_tarski(k5_subset_1(X1,X2,X3)) = k3_xboole_0(k3_tarski(X2),k3_tarski(X3)) ) ) ),
inference(ennf_transformation,[],[f5852]) ).
fof(f7576,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_filter_0(X1,X0)
| ! [X2] :
( ~ m1_filter_0(X2,X0)
| m1_filter_0(k5_subset_1(u1_struct_0(X0),X1,X2),X0) ) ) ),
inference(ennf_transformation,[],[f5718]) ).
fof(f7577,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_filter_0(X1,X0)
| ! [X2] :
( ~ m1_filter_0(X2,X0)
| m1_filter_0(k5_subset_1(u1_struct_0(X0),X1,X2),X0) ) ) ),
inference(flattening,[],[f7576]) ).
fof(f7578,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ! [X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| k2_tops_1(X0,X1) = k4_subset_1(u1_struct_0(X0),k5_subset_1(u1_struct_0(X0),k6_pre_topc(X0,k3_subset_1(u1_struct_0(X0),X1)),X1),k6_subset_1(u1_struct_0(X0),k6_pre_topc(X0,X1),X1)) ) ),
inference(ennf_transformation,[],[f4790]) ).
fof(f7579,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ! [X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ! [X2] :
( ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
| ~ v3_pre_topc(X2,X0)
| ~ v3_pre_topc(X1,X0)
| v3_pre_topc(k5_subset_1(u1_struct_0(X0),X1,X2),X0) ) ) ),
inference(ennf_transformation,[],[f4762]) ).
fof(f7580,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ! [X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ! [X2] :
( ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
| ~ v3_pre_topc(X2,X0)
| ~ v3_pre_topc(X1,X0)
| v3_pre_topc(k5_subset_1(u1_struct_0(X0),X1,X2),X0) ) ) ),
inference(flattening,[],[f7579]) ).
fof(f7581,plain,
! [X0] :
( ~ v4_ordinal2(X0)
| ! [X1] :
( ~ v4_ordinal2(X1)
| k2_finseq_1(X0) != k5_subset_1(k5_numbers,k2_finseq_1(X0),k2_finseq_1(X1))
| r1_xreal_0(X0,X1) ) ),
inference(ennf_transformation,[],[f3261]) ).
fof(f7582,plain,
! [X0] :
( ~ v4_ordinal2(X0)
| ! [X1] :
( ~ v4_ordinal2(X1)
| k2_finseq_1(X0) != k5_subset_1(k5_numbers,k2_finseq_1(X0),k2_finseq_1(X1))
| r1_xreal_0(X0,X1) ) ),
inference(flattening,[],[f7581]) ).
fof(f7583,plain,
! [X0] :
( ~ v4_ordinal2(X0)
| ! [X1] :
( ~ v4_ordinal2(X1)
| ~ r1_xreal_0(X0,X1)
| k2_finseq_1(X0) = k5_subset_1(k5_numbers,k2_finseq_1(X1),k2_finseq_1(X0)) ) ),
inference(ennf_transformation,[],[f3260]) ).
fof(f7584,plain,
! [X0] :
( ~ v4_ordinal2(X0)
| ! [X1] :
( ~ v4_ordinal2(X1)
| ~ r1_xreal_0(X0,X1)
| k2_finseq_1(X0) = k5_subset_1(k5_numbers,k2_finseq_1(X1),k2_finseq_1(X0)) ) ),
inference(flattening,[],[f7583]) ).
fof(f7585,plain,
! [X0,X1,X2] :
( ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| k5_subset_1(X0,X1,X2) = k3_xboole_0(X1,X2) ),
inference(ennf_transformation,[],[f574]) ).
fof(f7586,plain,
! [X0,X1,X2] :
( ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| k5_subset_1(X0,X1,X2) = k3_xboole_0(X1,X2) ),
inference(flattening,[],[f7585]) ).
fof(f7587,plain,
! [X0,X1,X2] :
( ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| k5_subset_1(X0,X1,X1) = X1 ),
inference(ennf_transformation,[],[f573]) ).
fof(f7588,plain,
! [X0,X1,X2] :
( ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| k5_subset_1(X0,X1,X1) = X1 ),
inference(flattening,[],[f7587]) ).
fof(f7589,plain,
! [X0,X1,X2] :
( ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| k5_subset_1(X0,X1,X2) = k5_subset_1(X0,X2,X1) ),
inference(ennf_transformation,[],[f572]) ).
fof(f7590,plain,
! [X0,X1,X2] :
( ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| k5_subset_1(X0,X1,X2) = k5_subset_1(X0,X2,X1) ),
inference(flattening,[],[f7589]) ).
fof(f7591,plain,
! [X0,X1,X2] :
( ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| m1_subset_1(k5_subset_1(X0,X1,X2),k1_zfmisc_1(X0)) ),
inference(ennf_transformation,[],[f571]) ).
fof(f7592,plain,
! [X0,X1,X2] :
( ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| m1_subset_1(k5_subset_1(X0,X1,X2),k1_zfmisc_1(X0)) ),
inference(flattening,[],[f7591]) ).
fof(f7593,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ! [X2] :
( ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| r1_tarski(k3_subset_1(X0,X1),k3_subset_1(X0,k5_subset_1(X0,X1,X2))) ) ),
inference(ennf_transformation,[],[f525]) ).
fof(f7594,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ! [X2] :
( ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| k6_subset_1(X0,X1,X2) = k5_subset_1(X0,X1,k3_subset_1(X0,X2)) ) ),
inference(ennf_transformation,[],[f515]) ).
fof(f7595,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ! [X2] :
( ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ! [X3] :
( ~ m1_subset_1(X3,k1_zfmisc_1(X0))
| ? [X4] :
( m1_subset_1(X4,X0)
& ( r2_hidden(X4,X1)
<~> ( r2_hidden(X4,X3)
& r2_hidden(X4,X2) ) ) )
| X1 = k5_subset_1(X0,X2,X3) ) ) ),
inference(ennf_transformation,[],[f499]) ).
fof(f7596,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ! [X2] :
( ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ! [X3] :
( ~ m1_subset_1(X3,k1_zfmisc_1(X0))
| ? [X4] :
( m1_subset_1(X4,X0)
& ( r2_hidden(X4,X1)
<~> ( r2_hidden(X4,X3)
& r2_hidden(X4,X2) ) ) )
| X1 = k5_subset_1(X0,X2,X3) ) ) ),
inference(flattening,[],[f7595]) ).
fof(f7597,plain,
! [X0] :
( v1_xboole_0(X0)
| ? [X1] :
( v1_finset_1(X1)
& ~ v1_xboole_0(X1)
& m1_subset_1(X1,k5_finsub_1(X0)) ) ),
inference(ennf_transformation,[],[f6455]) ).
fof(f7598,plain,
! [X0] :
( v1_xboole_0(X0)
| ? [X1] :
( m1_subset_1(X1,k5_finsub_1(X0))
& ~ v1_xboole_0(X1) ) ),
inference(ennf_transformation,[],[f6454]) ).
fof(f7599,plain,
! [X0] :
( v1_xboole_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,k5_finsub_1(X0))
| ? [X2] :
( m1_subset_1(X2,X0)
& r2_hidden(X2,X1) )
| k1_xboole_0 = X1 ) ),
inference(ennf_transformation,[],[f2449]) ).
fof(f7600,plain,
! [X0] :
( v1_xboole_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,k5_finsub_1(X0))
| ? [X2] :
( m1_subset_1(X2,X0)
& r2_hidden(X2,X1) )
| k1_xboole_0 = X1 ) ),
inference(flattening,[],[f7599]) ).
fof(f7601,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k5_finsub_1(X0))
| ! [X2] :
( ~ r1_tarski(X2,X1)
| m1_subset_1(X2,k5_finsub_1(X0)) ) ),
inference(ennf_transformation,[],[f2447]) ).
fof(f7602,plain,
! [X0] :
( v1_xboole_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,k5_finsub_1(X0))
| ! [X2] :
( ~ r2_hidden(X2,X1)
| m1_subset_1(X2,X0) ) ) ),
inference(ennf_transformation,[],[f2445]) ).
fof(f7603,plain,
! [X0] :
( v1_xboole_0(X0)
| ? [X1] :
( v1_finset_1(X1)
& ~ v1_xboole_0(X1)
& m1_subset_1(X1,k5_finsub_1(X0)) ) ),
inference(ennf_transformation,[],[f2431]) ).
fof(f7604,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ v1_finset_1(X0)
| m1_subset_1(X1,k5_finsub_1(X0)) ),
inference(ennf_transformation,[],[f2415]) ).
fof(f7605,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ v1_finset_1(X0)
| m1_subset_1(X1,k5_finsub_1(X0)) ),
inference(flattening,[],[f7604]) ).
fof(f7606,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k5_finsub_1(X0))
| m1_subset_1(X1,k1_zfmisc_1(X0)) ),
inference(ennf_transformation,[],[f2413]) ).
fof(f7608,plain,
! [X0] :
( ~ v1_finset_1(X0)
| k5_finsub_1(X0) = k1_zfmisc_1(X0) ),
inference(ennf_transformation,[],[f2408]) ).
fof(f7609,plain,
! [X0,X1] :
( ~ r1_tarski(X0,X1)
| r1_tarski(k5_finsub_1(X0),k5_finsub_1(X1)) ),
inference(ennf_transformation,[],[f2404]) ).
fof(f7610,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k5_finsub_1(X0))
| v1_finset_1(X1) ),
inference(ennf_transformation,[],[f2376]) ).
fof(f7613,plain,
! [X0] :
( ~ v1_finset_1(X0)
| ~ v1_relat_1(X0)
| v1_finset_1(k2_relat_1(X0)) ),
inference(ennf_transformation,[],[f3243]) ).
fof(f7614,plain,
! [X0] :
( ~ v1_finset_1(X0)
| ~ v1_relat_1(X0)
| v1_finset_1(k2_relat_1(X0)) ),
inference(flattening,[],[f7613]) ).
fof(f7615,plain,
! [X0] :
( ~ m2_subset_1(X0,k1_numbers,k5_numbers)
| ( v1_finset_1(k1_card_1(X0))
& v1_finset_1(X0) ) ),
inference(ennf_transformation,[],[f3197]) ).
fof(f7616,plain,
! [X0] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ( v1_finset_1(k1_relat_1(X0))
<=> v1_finset_1(X0) ) ),
inference(ennf_transformation,[],[f2366]) ).
fof(f7617,plain,
! [X0] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ( v1_finset_1(k1_relat_1(X0))
<=> v1_finset_1(X0) ) ),
inference(flattening,[],[f7616]) ).
fof(f7618,plain,
! [X0] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ~ v1_finset_1(k1_relat_1(X0))
| v1_finset_1(k2_relat_1(X0)) ),
inference(ennf_transformation,[],[f2363]) ).
fof(f7619,plain,
! [X0] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ~ v1_finset_1(k1_relat_1(X0))
| v1_finset_1(k2_relat_1(X0)) ),
inference(flattening,[],[f7618]) ).
fof(f7620,plain,
! [X0,X1] :
( ~ v1_finset_1(k2_zfmisc_1(X0,X1))
| v1_finset_1(X1)
| X0 = k1_xboole_0 ),
inference(ennf_transformation,[],[f2360]) ).
fof(f7621,plain,
! [X0,X1] :
( ~ v1_finset_1(k2_zfmisc_1(X0,X1))
| v1_finset_1(X1)
| X0 = k1_xboole_0 ),
inference(flattening,[],[f7620]) ).
fof(f7622,plain,
! [X0,X1] :
( ~ v1_finset_1(k2_zfmisc_1(X1,X0))
| v1_finset_1(X1)
| X0 = k1_xboole_0 ),
inference(ennf_transformation,[],[f2359]) ).
fof(f7623,plain,
! [X0,X1] :
( ~ v1_finset_1(k2_zfmisc_1(X1,X0))
| v1_finset_1(X1)
| X0 = k1_xboole_0 ),
inference(flattening,[],[f7622]) ).
fof(f7626,plain,
! [X0] :
( ~ v1_finset_1(X0)
| ! [X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(X0)))
| ? [X2] :
( ! [X3] :
( ~ r1_tarski(X2,X3)
| ~ r2_hidden(X3,X1)
| X3 = X2 )
& r2_hidden(X2,X1) )
| k1_xboole_0 = X1 ) ),
inference(ennf_transformation,[],[f2355]) ).
fof(f7627,plain,
! [X0] :
( ~ v1_finset_1(X0)
| ! [X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(X0)))
| ? [X2] :
( ! [X3] :
( ~ r1_tarski(X2,X3)
| ~ r2_hidden(X3,X1)
| X3 = X2 )
& r2_hidden(X2,X1) )
| k1_xboole_0 = X1 ) ),
inference(flattening,[],[f7626]) ).
fof(f7629,plain,
! [X0,X1] :
( ~ v1_finset_1(X1)
| ~ r1_tarski(X0,X1)
| v1_finset_1(X0) ),
inference(ennf_transformation,[],[f2350]) ).
fof(f7630,plain,
! [X0,X1] :
( ~ v1_finset_1(X1)
| ~ r1_tarski(X0,X1)
| v1_finset_1(X0) ),
inference(flattening,[],[f7629]) ).
fof(f7631,plain,
! [X0] :
( v1_xboole_0(X0)
| ? [X1] :
( v1_finset_1(X1)
& ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(X0)) ) ),
inference(ennf_transformation,[],[f2336]) ).
fof(f7632,plain,
! [X0,X1] :
( ~ v1_finset_1(X1)
| ~ v1_finset_1(X0)
| v1_finset_1(k2_zfmisc_1(X0,X1)) ),
inference(ennf_transformation,[],[f2332]) ).
fof(f7633,plain,
! [X0,X1] :
( ~ v1_finset_1(X1)
| ~ v1_finset_1(X0)
| v1_finset_1(k2_zfmisc_1(X0,X1)) ),
inference(flattening,[],[f7632]) ).
fof(f7634,plain,
! [X0,X1] :
( ~ v1_finset_1(X0)
| v1_finset_1(k4_xboole_0(X0,X1)) ),
inference(ennf_transformation,[],[f2330]) ).
fof(f7636,plain,
! [X0] :
( v1_xboole_0(X0)
| ? [X1] :
( v1_finset_1(X1)
& ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(X0)) ) ),
inference(ennf_transformation,[],[f2318]) ).
fof(f7637,plain,
! [X0] :
( ~ v1_xboole_0(X0)
| v1_finset_1(X0) ),
inference(ennf_transformation,[],[f2315]) ).
fof(f7638,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,X0)
| ? [X2] :
( ! [X3] :
( ~ r2_hidden(X3,k2_zfmisc_1(k4_xboole_0(X0,k1_tarski(X1)),k4_xboole_0(X0,k1_tarski(X1))))
| r2_hidden(k1_funct_1(X2,X3),k4_xboole_0(X0,k1_tarski(X1))) )
& m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
& v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
& v1_funct_1(X2) ) ),
inference(ennf_transformation,[],[f4086]) ).
fof(f7639,plain,
? [X0] :
( ! [X1] :
( ~ m1_subset_1(X1,X0)
| ~ v1_xboole_0(k4_xboole_0(X0,k1_tarski(X1))) )
& ~ v1_xboole_0(X0) ),
inference(ennf_transformation,[],[f4078]) ).
fof(f7640,plain,
! [X0] :
( ~ v1_relat_1(X0)
| ! [X1] :
( ~ v1_relat_1(X1)
| ! [X2] :
( ~ v1_relat_1(X2)
| r1_tarski(k4_xboole_0(k5_relat_1(X0,X1),k5_relat_1(X0,X2)),k5_relat_1(X0,k4_xboole_0(X1,X2))) ) ) ),
inference(ennf_transformation,[],[f757]) ).
fof(f7641,plain,
! [X0] :
( ~ v1_relat_1(X0)
| ! [X1] :
( ~ v1_relat_1(X1)
| r1_tarski(k4_xboole_0(k1_relat_1(X0),k1_relat_1(X1)),k1_relat_1(k4_xboole_0(X0,X1))) ) ),
inference(ennf_transformation,[],[f715]) ).
fof(f7642,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| v1_relat_1(k4_xboole_0(X1,X0)) ),
inference(ennf_transformation,[],[f709]) ).
fof(f7645,plain,
! [X0,X1] :
( k1_tarski(X1) = X0
| k1_xboole_0 = X0
| k1_xboole_0 != k4_xboole_0(X0,k1_tarski(X1)) ),
inference(ennf_transformation,[],[f391]) ).
fof(f7646,plain,
! [X0,X1,X2] :
( ~ r1_tarski(X0,X1)
| r1_tarski(X0,k4_xboole_0(X1,k1_tarski(X2)))
| r2_hidden(X2,X0) ),
inference(ennf_transformation,[],[f365]) ).
fof(f7647,plain,
! [X0,X1,X2] :
( ~ r1_tarski(X0,X1)
| r1_tarski(X0,k4_xboole_0(X1,k1_tarski(X2)))
| r2_hidden(X2,X0) ),
inference(flattening,[],[f7646]) ).
fof(f7648,plain,
! [X0,X1] :
( k1_xboole_0 != k4_xboole_0(k1_tarski(X0),k1_tarski(X1))
| X0 = X1 ),
inference(ennf_transformation,[],[f346]) ).
fof(f7649,plain,
! [X0,X1,X2] :
( ~ r1_tarski(X0,X1)
| r1_tarski(k4_xboole_0(X0,X2),X1) ),
inference(ennf_transformation,[],[f178]) ).
fof(f7650,plain,
! [X0,X1] :
( ~ r1_tarski(X0,k4_xboole_0(X1,X0))
| X0 = k1_xboole_0 ),
inference(ennf_transformation,[],[f107]) ).
fof(f7651,plain,
! [X0,X1,X2,X3] :
( ~ r1_tarski(X2,X3)
| ~ r1_tarski(X0,X1)
| r1_tarski(k4_xboole_0(X0,X3),k4_xboole_0(X1,X2)) ),
inference(ennf_transformation,[],[f104]) ).
fof(f7652,plain,
! [X0,X1,X2,X3] :
( ~ r1_tarski(X2,X3)
| ~ r1_tarski(X0,X1)
| r1_tarski(k4_xboole_0(X0,X3),k4_xboole_0(X1,X2)) ),
inference(flattening,[],[f7651]) ).
fof(f7653,plain,
! [X0,X1,X2] :
( ~ r1_tarski(X0,X1)
| r1_tarski(k4_xboole_0(X2,X1),k4_xboole_0(X2,X0)) ),
inference(ennf_transformation,[],[f103]) ).
fof(f7654,plain,
! [X0,X1,X2] :
( ~ r1_tarski(X0,X1)
| r1_tarski(k4_xboole_0(X0,X2),k4_xboole_0(X1,X2)) ),
inference(ennf_transformation,[],[f102]) ).
fof(f7655,plain,
! [X0,X1] :
( k4_xboole_0(X0,X1) != k4_xboole_0(X1,X0)
| X0 = X1 ),
inference(ennf_transformation,[],[f101]) ).
fof(f7656,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v16_lattices(X0)
| ~ v15_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ l3_lattices(X1)
| ~ v3_filter_0(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ! [X2] :
( ~ m1_lattice4(X2,X1,X0)
| ! [X3] :
( ~ m1_subset_1(X3,u1_struct_0(X1))
| ! [X4] :
( ~ m1_subset_1(X4,u1_struct_0(X1))
| ! [X5] :
( ~ m1_subset_1(X5,u1_struct_0(X1))
| ~ r3_lattices(X0,k4_lattices(X0,k8_funct_2(u1_struct_0(X1),u1_struct_0(X0),X2,X3),k8_funct_2(u1_struct_0(X1),u1_struct_0(X0),X2,X4)),k8_funct_2(u1_struct_0(X1),u1_struct_0(X0),X2,X5))
| ~ v1_lattice4(X2,X1,X0)
| r3_lattices(X0,k8_funct_2(u1_struct_0(X1),u1_struct_0(X0),X2,X4),k8_funct_2(u1_struct_0(X1),u1_struct_0(X0),X2,k4_filter_0(X1,X3,X5))) ) ) ) ) ) ),
inference(ennf_transformation,[],[f6352]) ).
fof(f7657,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v16_lattices(X0)
| ~ v15_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ l3_lattices(X1)
| ~ v3_filter_0(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ! [X2] :
( ~ m1_lattice4(X2,X1,X0)
| ! [X3] :
( ~ m1_subset_1(X3,u1_struct_0(X1))
| ! [X4] :
( ~ m1_subset_1(X4,u1_struct_0(X1))
| ! [X5] :
( ~ m1_subset_1(X5,u1_struct_0(X1))
| ~ r3_lattices(X0,k4_lattices(X0,k8_funct_2(u1_struct_0(X1),u1_struct_0(X0),X2,X3),k8_funct_2(u1_struct_0(X1),u1_struct_0(X0),X2,X4)),k8_funct_2(u1_struct_0(X1),u1_struct_0(X0),X2,X5))
| ~ v1_lattice4(X2,X1,X0)
| r3_lattices(X0,k8_funct_2(u1_struct_0(X1),u1_struct_0(X0),X2,X4),k8_funct_2(u1_struct_0(X1),u1_struct_0(X0),X2,k4_filter_0(X1,X3,X5))) ) ) ) ) ) ),
inference(flattening,[],[f7656]) ).
fof(f7658,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| ! [X3] :
( ~ m1_subset_1(X3,u1_struct_0(X0))
| ! [X4] :
( ~ m1_lattice4(X4,X0,X1)
| ~ v1_lattice4(X4,X0,X1)
| ( r3_lattices(X0,X2,X3)
<=> r3_lattices(X1,k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X4,X2),k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X4,X3)) ) ) ) ) ) ),
inference(ennf_transformation,[],[f6316]) ).
fof(f7659,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| ! [X3] :
( ~ m1_subset_1(X3,u1_struct_0(X0))
| ! [X4] :
( ~ m1_lattice4(X4,X0,X1)
| ~ v1_lattice4(X4,X0,X1)
| ( r3_lattices(X0,X2,X3)
<=> r3_lattices(X1,k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X4,X2),k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X4,X3)) ) ) ) ) ) ),
inference(flattening,[],[f7658]) ).
fof(f7660,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ! [X2] :
( ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X2)
| ( v1_lattice4(X2,X0,X1)
<=> v2_funct_1(X2) ) ) ) ),
inference(ennf_transformation,[],[f6314]) ).
fof(f7661,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ! [X2] :
( ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X2)
| ( v1_lattice4(X2,X0,X1)
<=> v2_funct_1(X2) ) ) ) ),
inference(flattening,[],[f7660]) ).
fof(f7662,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ l3_lattices(X1)
| ~ v11_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ! [X2] :
( ~ m1_lattice4(X2,X1,X0)
| ~ v2_lattice4(X2,X1,X0)
| v11_lattices(X0) ) ) ),
inference(ennf_transformation,[],[f6336]) ).
fof(f7663,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ l3_lattices(X1)
| ~ v11_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ! [X2] :
( ~ m1_lattice4(X2,X1,X0)
| ~ v2_lattice4(X2,X1,X0)
| v11_lattices(X0) ) ) ),
inference(flattening,[],[f7662]) ).
fof(f7664,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ! [X2] :
( ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X2)
| ~ v2_lattice4(X2,X0,X1)
| ! [X3] :
( ~ m1_subset_1(X3,u1_struct_0(X1))
| ? [X4] :
( X3 = k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,X4)
& m1_subset_1(X4,u1_struct_0(X0)) ) ) ) ) ),
inference(ennf_transformation,[],[f6317]) ).
fof(f7665,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ! [X2] :
( ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X2)
| ~ v2_lattice4(X2,X0,X1)
| ! [X3] :
( ~ m1_subset_1(X3,u1_struct_0(X1))
| ? [X4] :
( X3 = k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,X4)
& m1_subset_1(X4,u1_struct_0(X0)) ) ) ) ) ),
inference(flattening,[],[f7664]) ).
fof(f7666,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ! [X2] :
( ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X2)
| ( v2_lattice4(X2,X0,X1)
<=> k2_relat_1(X2) = u1_struct_0(X1) ) ) ) ),
inference(ennf_transformation,[],[f6315]) ).
fof(f7667,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ! [X2] :
( ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X2)
| ( v2_lattice4(X2,X0,X1)
<=> k2_relat_1(X2) = u1_struct_0(X1) ) ) ) ),
inference(flattening,[],[f7666]) ).
fof(f7668,plain,
! [X0] :
( ~ l3_lattices(X0)
| v3_realset2(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| k1_funct_1(k8_lopclset(X0),k3_lattices(X0,X1,X2)) = k2_xboole_0(k1_funct_1(k8_lopclset(X0),X1),k1_funct_1(k8_lopclset(X0),X2)) ) ) ),
inference(ennf_transformation,[],[f6440]) ).
fof(f7669,plain,
! [X0] :
( ~ l3_lattices(X0)
| v3_realset2(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| k1_funct_1(k8_lopclset(X0),k3_lattices(X0,X1,X2)) = k2_xboole_0(k1_funct_1(k8_lopclset(X0),X1),k1_funct_1(k8_lopclset(X0),X2)) ) ) ),
inference(flattening,[],[f7668]) ).
fof(f7670,plain,
! [X0] :
( ~ l3_lattices(X0)
| v3_realset2(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| k1_funct_1(k8_lopclset(X0),k4_lattices(X0,X1,X2)) = k3_xboole_0(k1_funct_1(k8_lopclset(X0),X1),k1_funct_1(k8_lopclset(X0),X2)) ) ) ),
inference(ennf_transformation,[],[f6439]) ).
fof(f7671,plain,
! [X0] :
( ~ l3_lattices(X0)
| v3_realset2(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| k1_funct_1(k8_lopclset(X0),k4_lattices(X0,X1,X2)) = k3_xboole_0(k1_funct_1(k8_lopclset(X0),X1),k1_funct_1(k8_lopclset(X0),X2)) ) ) ),
inference(flattening,[],[f7670]) ).
fof(f7672,plain,
! [X0] :
( ~ l3_lattices(X0)
| v3_realset2(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ! [X2] :
( ~ m1_filter_0(X2,X0)
| ( r2_hidden(X2,k1_funct_1(k8_lopclset(X0),X1))
<=> ( r2_hidden(X1,X2)
& v1_filter_0(X2,X0) ) ) ) ) ),
inference(ennf_transformation,[],[f6437]) ).
fof(f7673,plain,
! [X0] :
( ~ l3_lattices(X0)
| v3_realset2(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ! [X2] :
( ~ m1_filter_0(X2,X0)
| ( r2_hidden(X2,k1_funct_1(k8_lopclset(X0),X1))
<=> ( r2_hidden(X1,X2)
& v1_filter_0(X2,X0) ) ) ) ) ),
inference(flattening,[],[f7672]) ).
fof(f7674,plain,
! [X0,X1] :
( ~ l3_lattices(X1)
| v3_realset2(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X1))
| ( r2_hidden(X0,k1_funct_1(k8_lopclset(X1),X2))
<=> ? [X3] :
( r2_hidden(X2,X3)
& v1_filter_0(X3,X1)
& X3 = X0
& m1_filter_0(X3,X1) ) ) ) ),
inference(ennf_transformation,[],[f6436]) ).
fof(f7675,plain,
! [X0,X1] :
( ~ l3_lattices(X1)
| v3_realset2(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X1))
| ( r2_hidden(X0,k1_funct_1(k8_lopclset(X1),X2))
<=> ? [X3] :
( r2_hidden(X2,X3)
& v1_filter_0(X3,X1)
& X3 = X0
& m1_filter_0(X3,X1) ) ) ) ),
inference(flattening,[],[f7674]) ).
fof(f7676,plain,
! [X0] :
( ~ l3_lattices(X0)
| v3_realset2(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| k9_lopclset(X0) = k8_lopclset(X0) ),
inference(ennf_transformation,[],[f6402]) ).
fof(f7677,plain,
! [X0] :
( ~ l3_lattices(X0)
| v3_realset2(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| k9_lopclset(X0) = k8_lopclset(X0) ),
inference(flattening,[],[f7676]) ).
fof(f7678,plain,
! [X0] :
( ~ l3_lattices(X0)
| v3_realset2(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ( v1_funct_1(k8_lopclset(X0))
& v1_relat_1(k8_lopclset(X0)) ) ),
inference(ennf_transformation,[],[f6400]) ).
fof(f7679,plain,
! [X0] :
( ~ l3_lattices(X0)
| v3_realset2(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ( v1_funct_1(k8_lopclset(X0))
& v1_relat_1(k8_lopclset(X0)) ) ),
inference(flattening,[],[f7678]) ).
fof(f7680,plain,
! [X0,X1] :
( ~ l3_lattices(X1)
| v3_realset2(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ? [X2] :
( m1_subset_1(X2,k5_finsub_1(X0))
& k3_tarski(X2) = k7_lopclset(X1) )
| ~ m1_subset_1(X0,k1_zfmisc_1(k10_lopclset(X1)))
| k3_tarski(X0) != k7_lopclset(X1) ),
inference(ennf_transformation,[],[f6461]) ).
fof(f7681,plain,
! [X0,X1] :
( ~ l3_lattices(X1)
| v3_realset2(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ? [X2] :
( m1_subset_1(X2,k5_finsub_1(X0))
& k3_tarski(X2) = k7_lopclset(X1) )
| ~ m1_subset_1(X0,k1_zfmisc_1(k10_lopclset(X1)))
| k3_tarski(X0) != k7_lopclset(X1) ),
inference(flattening,[],[f7680]) ).
fof(f7682,plain,
! [X0] :
( ~ l3_lattices(X0)
| v3_realset2(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| k3_tarski(k10_lopclset(X0)) = k7_lopclset(X0) ),
inference(ennf_transformation,[],[f6452]) ).
fof(f7683,plain,
! [X0] :
( ~ l3_lattices(X0)
| v3_realset2(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| k3_tarski(k10_lopclset(X0)) = k7_lopclset(X0) ),
inference(flattening,[],[f7682]) ).
fof(f7684,plain,
! [X0,X1] :
( ~ l3_lattices(X1)
| v3_realset2(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ( r2_hidden(X0,k10_lopclset(X1))
<=> ? [X2] :
( k8_funct_2(u1_struct_0(X1),k1_zfmisc_1(k7_lopclset(X1)),k9_lopclset(X1),X2) = X0
& m1_subset_1(X2,u1_struct_0(X1)) ) ) ),
inference(ennf_transformation,[],[f6444]) ).
fof(f7685,plain,
! [X0,X1] :
( ~ l3_lattices(X1)
| v3_realset2(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ( r2_hidden(X0,k10_lopclset(X1))
<=> ? [X2] :
( k8_funct_2(u1_struct_0(X1),k1_zfmisc_1(k7_lopclset(X1)),k9_lopclset(X1),X2) = X0
& m1_subset_1(X2,u1_struct_0(X1)) ) ) ),
inference(flattening,[],[f7684]) ).
fof(f7686,plain,
! [X0] :
( ~ l3_lattices(X0)
| v3_realset2(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| r1_tarski(k10_lopclset(X0),k1_zfmisc_1(k7_lopclset(X0))) ),
inference(ennf_transformation,[],[f6443]) ).
fof(f7687,plain,
! [X0] :
( ~ l3_lattices(X0)
| v3_realset2(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| r1_tarski(k10_lopclset(X0),k1_zfmisc_1(k7_lopclset(X0))) ),
inference(flattening,[],[f7686]) ).
fof(f7688,plain,
! [X0] :
( ~ l3_lattices(X0)
| v3_realset2(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ v1_xboole_0(k10_lopclset(X0)) ),
inference(ennf_transformation,[],[f6442]) ).
fof(f7689,plain,
! [X0] :
( ~ l3_lattices(X0)
| v3_realset2(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ v1_xboole_0(k10_lopclset(X0)) ),
inference(flattening,[],[f7688]) ).
fof(f7690,plain,
! [X0] :
( ~ l3_lattices(X0)
| v3_realset2(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| k10_lopclset(X0) = k2_relat_1(k9_lopclset(X0)) ),
inference(ennf_transformation,[],[f6441]) ).
fof(f7691,plain,
! [X0] :
( ~ l3_lattices(X0)
| v3_realset2(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| k10_lopclset(X0) = k2_relat_1(k9_lopclset(X0)) ),
inference(flattening,[],[f7690]) ).
fof(f7692,plain,
! [X0,X1] :
( ~ m1_eqrel_1(X1,u1_struct_0(X0))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ( l1_pre_topc(k16_borsuk_1(X0,X1))
& v2_pre_topc(k16_borsuk_1(X0,X1)) ) ),
inference(ennf_transformation,[],[f6528]) ).
fof(f7693,plain,
! [X0,X1] :
( ~ m1_eqrel_1(X1,u1_struct_0(X0))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ( l1_pre_topc(k16_borsuk_1(X0,X1))
& v2_pre_topc(k16_borsuk_1(X0,X1)) ) ),
inference(flattening,[],[f7692]) ).
fof(f7694,plain,
! [X0,X1] :
( ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ( l1_pre_topc(k6_borsuk_1(X0,X1))
& v2_pre_topc(k6_borsuk_1(X0,X1)) ) ),
inference(ennf_transformation,[],[f6529]) ).
fof(f7695,plain,
! [X0,X1] :
( ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ( l1_pre_topc(k6_borsuk_1(X0,X1))
& v2_pre_topc(k6_borsuk_1(X0,X1)) ) ),
inference(flattening,[],[f7694]) ).
fof(f7696,plain,
! [X0,X1] :
( ~ m1_eqrel_1(X1,u1_struct_0(X0))
| v1_xboole_0(X1)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| ( v2_pre_topc(k16_borsuk_1(X0,X1))
& ~ v3_struct_0(k16_borsuk_1(X0,X1)) ) ),
inference(ennf_transformation,[],[f6530]) ).
fof(f7697,plain,
! [X0,X1] :
( ~ m1_eqrel_1(X1,u1_struct_0(X0))
| v1_xboole_0(X1)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| ( v2_pre_topc(k16_borsuk_1(X0,X1))
& ~ v3_struct_0(k16_borsuk_1(X0,X1)) ) ),
inference(flattening,[],[f7696]) ).
fof(f7698,plain,
! [X0,X1] :
( ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1)
| v3_struct_0(X1)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| ( v2_pre_topc(k6_borsuk_1(X0,X1))
& ~ v3_struct_0(k6_borsuk_1(X0,X1)) ) ),
inference(ennf_transformation,[],[f6532]) ).
fof(f7699,plain,
! [X0,X1] :
( ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1)
| v3_struct_0(X1)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| ( v2_pre_topc(k6_borsuk_1(X0,X1))
& ~ v3_struct_0(k6_borsuk_1(X0,X1)) ) ),
inference(flattening,[],[f7698]) ).
fof(f7700,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ? [X1] :
( v2_pre_topc(X1)
& m1_pre_topc(X1,X0) ) ),
inference(ennf_transformation,[],[f6531]) ).
fof(f7701,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ? [X1] :
( v2_pre_topc(X1)
& m1_pre_topc(X1,X0) ) ),
inference(flattening,[],[f7700]) ).
fof(f7702,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| v3_struct_0(X0)
| ? [X1] :
( ~ v3_struct_0(X1)
& m1_pre_topc(X1,X0) ) ),
inference(ennf_transformation,[],[f6538]) ).
fof(f7703,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| v3_struct_0(X0)
| ? [X1] :
( ~ v3_struct_0(X1)
& m1_pre_topc(X1,X0) ) ),
inference(flattening,[],[f7702]) ).
fof(f7704,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ? [X1] : m1_pre_topc(X1,X0) ),
inference(ennf_transformation,[],[f6533]) ).
fof(f7705,plain,
! [X0,X1,X2,X3] :
( ~ m1_subset_1(X3,X0)
| ~ m1_relset_1(X2,X0,X1)
| ~ v1_funct_2(X2,X0,X1)
| ~ v1_funct_1(X2)
| v1_xboole_0(X0)
| k8_funct_2(X0,X1,X2,X3) = k1_funct_1(X2,X3) ),
inference(ennf_transformation,[],[f1902]) ).
fof(f7706,plain,
! [X0,X1,X2,X3] :
( ~ m1_subset_1(X3,X0)
| ~ m1_relset_1(X2,X0,X1)
| ~ v1_funct_2(X2,X0,X1)
| ~ v1_funct_1(X2)
| v1_xboole_0(X0)
| k8_funct_2(X0,X1,X2,X3) = k1_funct_1(X2,X3) ),
inference(flattening,[],[f7705]) ).
fof(f7707,plain,
! [X0,X1,X2,X3] :
( ~ m1_subset_1(X3,X0)
| ~ m1_relset_1(X2,X0,X1)
| ~ v1_funct_2(X2,X0,X1)
| ~ v1_funct_1(X2)
| v1_xboole_0(X0)
| m1_subset_1(k8_funct_2(X0,X1,X2,X3),X1) ),
inference(ennf_transformation,[],[f1901]) ).
fof(f7708,plain,
! [X0,X1,X2,X3] :
( ~ m1_subset_1(X3,X0)
| ~ m1_relset_1(X2,X0,X1)
| ~ v1_funct_2(X2,X0,X1)
| ~ v1_funct_1(X2)
| v1_xboole_0(X0)
| m1_subset_1(k8_funct_2(X0,X1,X2,X3),X1) ),
inference(flattening,[],[f7707]) ).
fof(f7709,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v3_filter_0(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| ! [X3] :
( ~ m1_subset_1(X3,u1_struct_0(X0))
| r3_lattices(X0,k4_lattices(X0,k4_filter_0(X0,X1,X2),k4_filter_0(X0,X1,X3)),k4_filter_0(X0,X1,k4_lattices(X0,X2,X3))) ) ) ) ),
inference(ennf_transformation,[],[f5783]) ).
fof(f7710,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v3_filter_0(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| ! [X3] :
( ~ m1_subset_1(X3,u1_struct_0(X0))
| r3_lattices(X0,k4_lattices(X0,k4_filter_0(X0,X1,X2),k4_filter_0(X0,X1,X3)),k4_filter_0(X0,X1,k4_lattices(X0,X2,X3))) ) ) ) ),
inference(flattening,[],[f7709]) ).
fof(f7711,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v3_filter_0(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| ! [X3] :
( ~ m1_subset_1(X3,u1_struct_0(X0))
| r3_lattices(X0,k4_lattices(X0,k4_filter_0(X0,X1,X2),k4_filter_0(X0,X3,X2)),k4_filter_0(X0,k3_lattices(X0,X1,X3),X2)) ) ) ) ),
inference(ennf_transformation,[],[f5782]) ).
fof(f7712,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v3_filter_0(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| ! [X3] :
( ~ m1_subset_1(X3,u1_struct_0(X0))
| r3_lattices(X0,k4_lattices(X0,k4_filter_0(X0,X1,X2),k4_filter_0(X0,X3,X2)),k4_filter_0(X0,k3_lattices(X0,X1,X3),X2)) ) ) ) ),
inference(flattening,[],[f7711]) ).
fof(f7713,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v3_filter_0(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| ! [X3] :
( ~ m1_subset_1(X3,u1_struct_0(X0))
| ( r3_lattices(X0,k4_filter_0(X0,X1,X2),k4_filter_0(X0,k4_lattices(X0,X3,X1),X2))
& r3_lattices(X0,k4_filter_0(X0,X1,X2),k4_filter_0(X0,X1,k3_lattices(X0,X3,X2)))
& r3_lattices(X0,k4_filter_0(X0,X1,X2),k4_filter_0(X0,k4_lattices(X0,X1,X3),X2))
& r3_lattices(X0,k4_filter_0(X0,X1,X2),k4_filter_0(X0,X1,k3_lattices(X0,X2,X3))) ) ) ) ) ),
inference(ennf_transformation,[],[f5781]) ).
fof(f7714,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v3_filter_0(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| ! [X3] :
( ~ m1_subset_1(X3,u1_struct_0(X0))
| ( r3_lattices(X0,k4_filter_0(X0,X1,X2),k4_filter_0(X0,k4_lattices(X0,X3,X1),X2))
& r3_lattices(X0,k4_filter_0(X0,X1,X2),k4_filter_0(X0,X1,k3_lattices(X0,X3,X2)))
& r3_lattices(X0,k4_filter_0(X0,X1,X2),k4_filter_0(X0,k4_lattices(X0,X1,X3),X2))
& r3_lattices(X0,k4_filter_0(X0,X1,X2),k4_filter_0(X0,X1,k3_lattices(X0,X2,X3))) ) ) ) ) ),
inference(flattening,[],[f7713]) ).
fof(f7715,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v3_filter_0(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| ( k4_filter_0(X0,X1,k4_lattices(X0,X1,X2)) = k4_filter_0(X0,X1,X2)
& k4_filter_0(X0,k3_lattices(X0,X1,X2),X1) = k4_filter_0(X0,X2,X1) ) ) ) ),
inference(ennf_transformation,[],[f5780]) ).
fof(f7716,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v3_filter_0(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| ( k4_filter_0(X0,X1,k4_lattices(X0,X1,X2)) = k4_filter_0(X0,X1,X2)
& k4_filter_0(X0,k3_lattices(X0,X1,X2),X1) = k4_filter_0(X0,X2,X1) ) ) ) ),
inference(flattening,[],[f7715]) ).
fof(f7717,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v3_filter_0(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| ! [X3] :
( ~ m1_subset_1(X3,u1_struct_0(X0))
| k4_filter_0(X0,k4_lattices(X0,X1,X2),X3) = k4_filter_0(X0,X1,k4_filter_0(X0,X2,X3)) ) ) ) ),
inference(ennf_transformation,[],[f5740]) ).
fof(f7718,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v3_filter_0(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| ! [X3] :
( ~ m1_subset_1(X3,u1_struct_0(X0))
| k4_filter_0(X0,k4_lattices(X0,X1,X2),X3) = k4_filter_0(X0,X1,k4_filter_0(X0,X2,X3)) ) ) ) ),
inference(flattening,[],[f7717]) ).
fof(f7719,plain,
! [X0,X1,X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| m1_subset_1(k4_filter_0(X0,X1,X2),u1_struct_0(X0)) ),
inference(ennf_transformation,[],[f5588]) ).
fof(f7720,plain,
! [X0,X1,X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| m1_subset_1(k4_filter_0(X0,X1,X2),u1_struct_0(X0)) ),
inference(flattening,[],[f7719]) ).
fof(f7721,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| k4_filter_0(X0,X1,X2) = k3_lattices(X0,k7_lattices(X0,X1),X2) ) ) ),
inference(ennf_transformation,[],[f5543]) ).
fof(f7722,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| k4_filter_0(X0,X1,X2) = k3_lattices(X0,k7_lattices(X0,X1),X2) ) ) ),
inference(flattening,[],[f7721]) ).
fof(f7723,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v3_filter_0(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| ! [X3] :
( ~ m1_subset_1(X3,u1_struct_0(X0))
| ! [X4] :
( ~ m1_filter_0(X4,X0)
| ~ r2_hidden(k4_filter_0(X0,X2,X3),X4)
| ~ r2_hidden(k4_filter_0(X0,X1,X2),X4)
| r2_hidden(k4_filter_0(X0,X1,X3),X4) ) ) ) ) ),
inference(ennf_transformation,[],[f5542]) ).
fof(f7724,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v3_filter_0(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| ! [X3] :
( ~ m1_subset_1(X3,u1_struct_0(X0))
| ! [X4] :
( ~ m1_filter_0(X4,X0)
| ~ r2_hidden(k4_filter_0(X0,X2,X3),X4)
| ~ r2_hidden(k4_filter_0(X0,X1,X2),X4)
| r2_hidden(k4_filter_0(X0,X1,X3),X4) ) ) ) ) ),
inference(flattening,[],[f7723]) ).
fof(f7725,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v3_filter_0(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| ! [X3] :
( ~ m1_filter_0(X3,X0)
| ~ r2_hidden(X1,X3)
| r2_hidden(k4_filter_0(X0,X2,X1),X3) ) ) ) ),
inference(ennf_transformation,[],[f5531]) ).
fof(f7726,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v3_filter_0(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| ! [X3] :
( ~ m1_filter_0(X3,X0)
| ~ r2_hidden(X1,X3)
| r2_hidden(k4_filter_0(X0,X2,X1),X3) ) ) ) ),
inference(flattening,[],[f7725]) ).
fof(f7727,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v3_filter_0(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| ! [X3] :
( ~ m1_filter_0(X3,X0)
| ~ r2_hidden(k4_filter_0(X0,X1,X2),X3)
| ~ r2_hidden(X1,X3)
| r2_hidden(X2,X3) ) ) ) ),
inference(ennf_transformation,[],[f5530]) ).
fof(f7728,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v3_filter_0(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| ! [X3] :
( ~ m1_filter_0(X3,X0)
| ~ r2_hidden(k4_filter_0(X0,X1,X2),X3)
| ~ r2_hidden(X1,X3)
| r2_hidden(X2,X3) ) ) ) ),
inference(flattening,[],[f7727]) ).
fof(f7731,plain,
! [X0] :
( ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| v3_struct_0(X1)
| ! [X2] :
( ~ m2_relset_1(X2,u1_struct_0(X1),u1_struct_0(X0))
| ~ v1_group_6(X2,X1,X0)
| ~ v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X0))
| ~ v1_funct_1(X2)
| ~ v6_group_1(X1)
| v6_group_1(k13_group_6(X1,X0,X2)) ) ) ),
inference(ennf_transformation,[],[f6237]) ).
fof(f7732,plain,
! [X0] :
( ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| v3_struct_0(X1)
| ! [X2] :
( ~ m2_relset_1(X2,u1_struct_0(X1),u1_struct_0(X0))
| ~ v1_group_6(X2,X1,X0)
| ~ v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X0))
| ~ v1_funct_1(X2)
| ~ v6_group_1(X1)
| v6_group_1(k13_group_6(X1,X0,X2)) ) ) ),
inference(flattening,[],[f7731]) ).
fof(f7733,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| ~ v6_group_1(X0)
| v3_struct_0(X0)
| ( v14_lattices(X0)
& v10_lattices(X0)
& v9_lattices(X0)
& v8_lattices(X0)
& v7_lattices(X0)
& v6_lattices(X0)
& v5_lattices(X0)
& v4_lattices(X0)
& ~ v3_struct_0(X0) ) ),
inference(ennf_transformation,[],[f5618]) ).
fof(f7734,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| ~ v6_group_1(X0)
| v3_struct_0(X0)
| ( v14_lattices(X0)
& v10_lattices(X0)
& v9_lattices(X0)
& v8_lattices(X0)
& v7_lattices(X0)
& v6_lattices(X0)
& v5_lattices(X0)
& v4_lattices(X0)
& ~ v3_struct_0(X0) ) ),
inference(flattening,[],[f7733]) ).
fof(f7735,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| ~ v6_group_1(X0)
| v3_struct_0(X0)
| ( v13_lattices(X0)
& v10_lattices(X0)
& v9_lattices(X0)
& v8_lattices(X0)
& v7_lattices(X0)
& v6_lattices(X0)
& v5_lattices(X0)
& v4_lattices(X0)
& ~ v3_struct_0(X0) ) ),
inference(ennf_transformation,[],[f5617]) ).
fof(f7736,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| ~ v6_group_1(X0)
| v3_struct_0(X0)
| ( v13_lattices(X0)
& v10_lattices(X0)
& v9_lattices(X0)
& v8_lattices(X0)
& v7_lattices(X0)
& v6_lattices(X0)
& v5_lattices(X0)
& v4_lattices(X0)
& ~ v3_struct_0(X0) ) ),
inference(flattening,[],[f7735]) ).
fof(f7737,plain,
! [X0] :
( ~ l1_struct_0(X0)
| ( v6_group_1(X0)
<=> v1_finset_1(u1_struct_0(X0)) ) ),
inference(ennf_transformation,[],[f5094]) ).
fof(f7740,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l3_lattices(X0)
| v3_struct_0(X0)
| m1_subset_1(k7_lattices(X0,X1),u1_struct_0(X0)) ),
inference(ennf_transformation,[],[f4596]) ).
fof(f7741,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l3_lattices(X0)
| v3_struct_0(X0)
| m1_subset_1(k7_lattices(X0,X1),u1_struct_0(X0)) ),
inference(flattening,[],[f7740]) ).
fof(f7742,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ r3_lattices(X0,X1,X2)
| r3_lattices(X0,k7_lattices(X0,X2),k7_lattices(X0,X1)) ) ) ),
inference(ennf_transformation,[],[f4574]) ).
fof(f7743,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ r3_lattices(X0,X1,X2)
| r3_lattices(X0,k7_lattices(X0,X2),k7_lattices(X0,X1)) ) ) ),
inference(flattening,[],[f7742]) ).
fof(f7744,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| k7_lattices(X0,k3_lattices(X0,X1,X2)) = k4_lattices(X0,k7_lattices(X0,X1),k7_lattices(X0,X2)) ) ) ),
inference(ennf_transformation,[],[f4572]) ).
fof(f7745,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| k7_lattices(X0,k3_lattices(X0,X1,X2)) = k4_lattices(X0,k7_lattices(X0,X1),k7_lattices(X0,X2)) ) ) ),
inference(flattening,[],[f7744]) ).
fof(f7746,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| k7_lattices(X0,k4_lattices(X0,X1,X2)) = k3_lattices(X0,k7_lattices(X0,X1),k7_lattices(X0,X2)) ) ) ),
inference(ennf_transformation,[],[f4571]) ).
fof(f7747,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| k7_lattices(X0,k4_lattices(X0,X1,X2)) = k3_lattices(X0,k7_lattices(X0,X1),k7_lattices(X0,X2)) ) ) ),
inference(flattening,[],[f7746]) ).
fof(f7748,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| k7_lattices(X0,k7_lattices(X0,X1)) = X1 ) ),
inference(ennf_transformation,[],[f4570]) ).
fof(f7749,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| k7_lattices(X0,k7_lattices(X0,X1)) = X1 ) ),
inference(flattening,[],[f7748]) ).
fof(f7750,plain,
! [X0] :
( ~ l1_group_1(X0)
| ~ v2_group_1(X0)
| v3_struct_0(X0)
| k3_binop_1(u1_struct_0(X0),u1_group_1(X0)) = k2_group_1(X0) ),
inference(ennf_transformation,[],[f5034]) ).
fof(f7751,plain,
! [X0] :
( ~ l1_group_1(X0)
| ~ v2_group_1(X0)
| v3_struct_0(X0)
| k3_binop_1(u1_struct_0(X0),u1_group_1(X0)) = k2_group_1(X0) ),
inference(flattening,[],[f7750]) ).
fof(f7752,plain,
! [X0] :
( v1_xboole_0(X0)
| ! [X1] :
( v1_xboole_0(X1)
| ! [X2] :
( ~ m2_relset_1(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X2)
| ~ v1_setwiseo(X2,X1)
| ~ v3_binop_1(X2,X1)
| ~ v2_binop_1(X2,X1)
| ~ v1_binop_1(X2,X1)
| ! [X3] :
( v1_xboole_0(X3)
| ! [X4] :
( ~ m2_relset_1(X4,k2_zfmisc_1(X3,X3),X3)
| ~ v1_funct_2(X4,k2_zfmisc_1(X3,X3),X3)
| ~ v1_funct_1(X4)
| ~ v1_setwiseo(X4,X3)
| ~ v3_binop_1(X4,X3)
| ~ v2_binop_1(X4,X3)
| ~ v1_binop_1(X4,X3)
| ! [X5] :
( ~ m2_relset_1(X5,X0,X1)
| ~ v1_funct_2(X5,X0,X1)
| ~ v1_funct_1(X5)
| ! [X6] :
( ~ m2_relset_1(X6,X1,X3)
| ~ v1_funct_2(X6,X1,X3)
| ~ v1_funct_1(X6)
| ? [X7] :
( m1_subset_1(X7,X1)
& ? [X8] :
( m1_subset_1(X8,X1)
& k8_funct_2(X1,X3,X6,k2_binop_1(X1,X1,X1,X2,X7,X8)) != k2_binop_1(X3,X3,X3,X4,k8_funct_2(X1,X3,X6,X7),k8_funct_2(X1,X3,X6,X8)) ) )
| k8_funct_2(X1,X3,X6,k3_binop_1(X1,X2)) != k3_binop_1(X3,X4)
| ! [X9] :
( ~ m1_subset_1(X9,k5_finsub_1(X0))
| k8_funct_2(X1,X3,X6,k7_setwiseo(X0,X1,X2,X9,X5)) = k7_setwiseo(X0,X3,X4,X9,k7_funct_2(X0,X1,X3,X5,X6)) ) ) ) ) ) ) ) ),
inference(ennf_transformation,[],[f6480]) ).
fof(f7753,plain,
! [X0] :
( v1_xboole_0(X0)
| ! [X1] :
( v1_xboole_0(X1)
| ! [X2] :
( ~ m2_relset_1(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X2)
| ~ v1_setwiseo(X2,X1)
| ~ v3_binop_1(X2,X1)
| ~ v2_binop_1(X2,X1)
| ~ v1_binop_1(X2,X1)
| ! [X3] :
( v1_xboole_0(X3)
| ! [X4] :
( ~ m2_relset_1(X4,k2_zfmisc_1(X3,X3),X3)
| ~ v1_funct_2(X4,k2_zfmisc_1(X3,X3),X3)
| ~ v1_funct_1(X4)
| ~ v1_setwiseo(X4,X3)
| ~ v3_binop_1(X4,X3)
| ~ v2_binop_1(X4,X3)
| ~ v1_binop_1(X4,X3)
| ! [X5] :
( ~ m2_relset_1(X5,X0,X1)
| ~ v1_funct_2(X5,X0,X1)
| ~ v1_funct_1(X5)
| ! [X6] :
( ~ m2_relset_1(X6,X1,X3)
| ~ v1_funct_2(X6,X1,X3)
| ~ v1_funct_1(X6)
| ? [X7] :
( m1_subset_1(X7,X1)
& ? [X8] :
( m1_subset_1(X8,X1)
& k8_funct_2(X1,X3,X6,k2_binop_1(X1,X1,X1,X2,X7,X8)) != k2_binop_1(X3,X3,X3,X4,k8_funct_2(X1,X3,X6,X7),k8_funct_2(X1,X3,X6,X8)) ) )
| k8_funct_2(X1,X3,X6,k3_binop_1(X1,X2)) != k3_binop_1(X3,X4)
| ! [X9] :
( ~ m1_subset_1(X9,k5_finsub_1(X0))
| k8_funct_2(X1,X3,X6,k7_setwiseo(X0,X1,X2,X9,X5)) = k7_setwiseo(X0,X3,X4,X9,k7_funct_2(X0,X1,X3,X5,X6)) ) ) ) ) ) ) ) ),
inference(flattening,[],[f7752]) ).
fof(f7754,plain,
! [X0] :
( v1_xboole_0(X0)
| ! [X1] :
( ~ m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| ~ v1_setwiseo(X1,X0)
| ! [X2] :
( ~ m1_subset_1(X2,X0)
| ( k2_binop_1(X0,X0,X0,X1,X2,k3_binop_1(X0,X1)) = X2
& k2_binop_1(X0,X0,X0,X1,k3_binop_1(X0,X1),X2) = X2 ) ) ) ),
inference(ennf_transformation,[],[f2456]) ).
fof(f7755,plain,
! [X0] :
( v1_xboole_0(X0)
| ! [X1] :
( ~ m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| ~ v1_setwiseo(X1,X0)
| ! [X2] :
( ~ m1_subset_1(X2,X0)
| ( k2_binop_1(X0,X0,X0,X1,X2,k3_binop_1(X0,X1)) = X2
& k2_binop_1(X0,X0,X0,X1,k3_binop_1(X0,X1),X2) = X2 ) ) ) ),
inference(flattening,[],[f7754]) ).
fof(f7756,plain,
! [X0] :
( v1_xboole_0(X0)
| ! [X1] :
( ~ m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| ( v1_setwiseo(X1,X0)
<=> r3_binop_1(X0,k3_binop_1(X0,X1),X1) ) ) ),
inference(ennf_transformation,[],[f2455]) ).
fof(f7757,plain,
! [X0] :
( v1_xboole_0(X0)
| ! [X1] :
( ~ m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| ( v1_setwiseo(X1,X0)
<=> r3_binop_1(X0,k3_binop_1(X0,X1),X1) ) ) ),
inference(flattening,[],[f7756]) ).
fof(f7758,plain,
! [X0,X1] :
( ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| m1_subset_1(k3_binop_1(X0,X1),X0) ),
inference(ennf_transformation,[],[f2093]) ).
fof(f7759,plain,
! [X0,X1] :
( ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| m1_subset_1(k3_binop_1(X0,X1),X0) ),
inference(flattening,[],[f7758]) ).
fof(f7760,plain,
! [X0,X1] :
( ~ m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| ! [X2] :
( ~ r3_binop_1(X0,X2,X1)
| ~ m1_subset_1(X2,X0) )
| ! [X3] :
( ~ m1_subset_1(X3,X0)
| ( k3_binop_1(X0,X1) = X3
<=> r3_binop_1(X0,X3,X1) ) ) ),
inference(ennf_transformation,[],[f6481]) ).
fof(f7761,plain,
! [X0,X1] :
( ~ m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| ! [X2] :
( ~ r3_binop_1(X0,X2,X1)
| ~ m1_subset_1(X2,X0) )
| ! [X3] :
( ~ m1_subset_1(X3,X0)
| ( k3_binop_1(X0,X1) = X3
<=> r3_binop_1(X0,X3,X1) ) ) ),
inference(flattening,[],[f7760]) ).
fof(f7762,plain,
! [X0] :
( v1_xboole_0(X0)
| ! [X1] :
( v1_xboole_0(X1)
| ! [X2] :
( ~ m1_subset_1(X2,X0)
| ! [X3] :
( ~ m1_subset_1(X3,X1)
| ! [X4] :
( ~ m2_relset_1(X4,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X4,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X4)
| ! [X5] :
( ~ m2_relset_1(X5,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X5,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X5)
| ( ( r3_binop_1(X1,X3,X5)
& r3_binop_1(X0,X2,X4) )
<=> r3_binop_1(k2_zfmisc_1(X0,X1),k1_domain_1(X0,X1,X2,X3),k7_filter_1(X0,X1,X4,X5)) ) ) ) ) ) ) ),
inference(ennf_transformation,[],[f5750]) ).
fof(f7763,plain,
! [X0] :
( v1_xboole_0(X0)
| ! [X1] :
( v1_xboole_0(X1)
| ! [X2] :
( ~ m1_subset_1(X2,X0)
| ! [X3] :
( ~ m1_subset_1(X3,X1)
| ! [X4] :
( ~ m2_relset_1(X4,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X4,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X4)
| ! [X5] :
( ~ m2_relset_1(X5,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X5,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X5)
| ( ( r3_binop_1(X1,X3,X5)
& r3_binop_1(X0,X2,X4) )
<=> r3_binop_1(k2_zfmisc_1(X0,X1),k1_domain_1(X0,X1,X2,X3),k7_filter_1(X0,X1,X4,X5)) ) ) ) ) ) ) ),
inference(flattening,[],[f7762]) ).
fof(f7764,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v13_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| r3_binop_1(u1_struct_0(X0),k5_lattices(X0),u2_lattices(X0)) ),
inference(ennf_transformation,[],[f5690]) ).
fof(f7765,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v13_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| r3_binop_1(u1_struct_0(X0),k5_lattices(X0),u2_lattices(X0)) ),
inference(flattening,[],[f7764]) ).
fof(f7766,plain,
! [X0] :
( ~ l1_group_1(X0)
| ~ v2_group_1(X0)
| v3_struct_0(X0)
| r3_binop_1(u1_struct_0(X0),k2_group_1(X0),u1_group_1(X0)) ),
inference(ennf_transformation,[],[f5033]) ).
fof(f7767,plain,
! [X0] :
( ~ l1_group_1(X0)
| ~ v2_group_1(X0)
| v3_struct_0(X0)
| r3_binop_1(u1_struct_0(X0),k2_group_1(X0),u1_group_1(X0)) ),
inference(flattening,[],[f7766]) ).
fof(f7768,plain,
! [X0] :
( v1_xboole_0(X0)
| ! [X1] :
( v1_xboole_0(X1)
| ! [X2] :
( ~ m2_relset_1(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X2)
| ! [X3] :
( ~ m1_subset_1(X3,k5_finsub_1(X0))
| ! [X4] :
( ~ m2_relset_1(X4,X0,X1)
| ~ v1_funct_2(X4,X0,X1)
| ~ v1_funct_1(X4)
| ~ v2_binop_1(X2,X1)
| ~ v1_binop_1(X2,X1)
| ~ v3_binop_1(X2,X1)
| ! [X5] :
( ~ m1_subset_1(X5,X1)
| ( X5 = k7_setwiseo(X0,X1,X2,X3,X4)
<=> ? [X6] :
( ! [X9] :
( ~ m1_subset_1(X9,k5_finsub_1(X0))
| ~ r1_tarski(X9,X3)
| ! [X10] :
( ~ m1_subset_1(X10,X0)
| ~ r2_hidden(X10,X3)
| k8_funct_2(k5_finsub_1(X0),X1,X6,k5_setwiseo(X0,X9,k2_setwiseo(X0,X10))) = k2_binop_1(X1,X1,X1,X2,k8_funct_2(k5_finsub_1(X0),X1,X6,X9),k8_funct_2(X0,X1,X4,X10)) )
| k1_xboole_0 = X9 )
& ! [X8] :
( ~ m1_subset_1(X8,X0)
| k8_funct_2(X0,X1,X4,X8) = k8_funct_2(k5_finsub_1(X0),X1,X6,k2_setwiseo(X0,X8)) )
& ! [X7] :
( ~ m1_subset_1(X7,X1)
| ~ r3_binop_1(X1,X7,X2)
| k1_funct_1(X6,k1_xboole_0) = X7 )
& X5 = k8_funct_2(k5_finsub_1(X0),X1,X6,X3)
& m2_relset_1(X6,k5_finsub_1(X0),X1)
& v1_funct_2(X6,k5_finsub_1(X0),X1)
& v1_funct_1(X6) ) ) )
| ( ~ v1_setwiseo(X2,X1)
& X3 = k1_xboole_0 ) ) ) ) ) ),
inference(ennf_transformation,[],[f6482]) ).
fof(f7769,plain,
! [X0] :
( v1_xboole_0(X0)
| ! [X1] :
( v1_xboole_0(X1)
| ! [X2] :
( ~ m2_relset_1(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X2)
| ! [X3] :
( ~ m1_subset_1(X3,k5_finsub_1(X0))
| ! [X4] :
( ~ m2_relset_1(X4,X0,X1)
| ~ v1_funct_2(X4,X0,X1)
| ~ v1_funct_1(X4)
| ~ v2_binop_1(X2,X1)
| ~ v1_binop_1(X2,X1)
| ~ v3_binop_1(X2,X1)
| ! [X5] :
( ~ m1_subset_1(X5,X1)
| ( X5 = k7_setwiseo(X0,X1,X2,X3,X4)
<=> ? [X6] :
( ! [X9] :
( ~ m1_subset_1(X9,k5_finsub_1(X0))
| ~ r1_tarski(X9,X3)
| ! [X10] :
( ~ m1_subset_1(X10,X0)
| ~ r2_hidden(X10,X3)
| k8_funct_2(k5_finsub_1(X0),X1,X6,k5_setwiseo(X0,X9,k2_setwiseo(X0,X10))) = k2_binop_1(X1,X1,X1,X2,k8_funct_2(k5_finsub_1(X0),X1,X6,X9),k8_funct_2(X0,X1,X4,X10)) )
| k1_xboole_0 = X9 )
& ! [X8] :
( ~ m1_subset_1(X8,X0)
| k8_funct_2(X0,X1,X4,X8) = k8_funct_2(k5_finsub_1(X0),X1,X6,k2_setwiseo(X0,X8)) )
& ! [X7] :
( ~ m1_subset_1(X7,X1)
| ~ r3_binop_1(X1,X7,X2)
| k1_funct_1(X6,k1_xboole_0) = X7 )
& X5 = k8_funct_2(k5_finsub_1(X0),X1,X6,X3)
& m2_relset_1(X6,k5_finsub_1(X0),X1)
& v1_funct_2(X6,k5_finsub_1(X0),X1)
& v1_funct_1(X6) ) ) )
| ( ~ v1_setwiseo(X2,X1)
& X3 = k1_xboole_0 ) ) ) ) ) ),
inference(flattening,[],[f7768]) ).
fof(f7770,plain,
! [X0] :
( v1_xboole_0(X0)
| ! [X1] :
( ~ m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| ( v1_setwiseo(X1,X0)
<=> ? [X2] :
( r3_binop_1(X0,X2,X1)
& m1_subset_1(X2,X0) ) ) ) ),
inference(ennf_transformation,[],[f2452]) ).
fof(f7771,plain,
! [X0] :
( v1_xboole_0(X0)
| ! [X1] :
( ~ m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| ( v1_setwiseo(X1,X0)
<=> ? [X2] :
( r3_binop_1(X0,X2,X1)
& m1_subset_1(X2,X0) ) ) ) ),
inference(flattening,[],[f7770]) ).
fof(f7772,plain,
! [X0,X1] :
( ~ m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| ! [X2] :
( ~ m1_subset_1(X2,X0)
| ! [X3] :
( ~ m1_subset_1(X3,X0)
| ~ r3_binop_1(X0,X3,X1)
| ~ r3_binop_1(X0,X2,X1)
| X2 = X3 ) ) ),
inference(ennf_transformation,[],[f2064]) ).
fof(f7773,plain,
! [X0,X1] :
( ~ m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| ! [X2] :
( ~ m1_subset_1(X2,X0)
| ! [X3] :
( ~ m1_subset_1(X3,X0)
| ~ r3_binop_1(X0,X3,X1)
| ~ r3_binop_1(X0,X2,X1)
| X2 = X3 ) ) ),
inference(flattening,[],[f7772]) ).
fof(f7774,plain,
! [X0,X1] :
( ~ m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| ! [X2] :
( ~ m1_subset_1(X2,X0)
| ~ v1_binop_1(X1,X0)
| ( r3_binop_1(X0,X2,X1)
<=> ! [X3] :
( ~ m1_subset_1(X3,X0)
| k1_binop_1(X1,X3,X2) = X3 ) ) ) ),
inference(ennf_transformation,[],[f2059]) ).
fof(f7775,plain,
! [X0,X1] :
( ~ m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| ! [X2] :
( ~ m1_subset_1(X2,X0)
| ~ v1_binop_1(X1,X0)
| ( r3_binop_1(X0,X2,X1)
<=> ! [X3] :
( ~ m1_subset_1(X3,X0)
| k1_binop_1(X1,X3,X2) = X3 ) ) ) ),
inference(flattening,[],[f7774]) ).
fof(f7776,plain,
! [X0,X1] :
( ~ m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| ! [X2] :
( ~ m1_subset_1(X2,X0)
| ~ v1_binop_1(X1,X0)
| ( r3_binop_1(X0,X2,X1)
<=> ! [X3] :
( ~ m1_subset_1(X3,X0)
| k1_binop_1(X1,X2,X3) = X3 ) ) ) ),
inference(ennf_transformation,[],[f2058]) ).
fof(f7777,plain,
! [X0,X1] :
( ~ m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| ! [X2] :
( ~ m1_subset_1(X2,X0)
| ~ v1_binop_1(X1,X0)
| ( r3_binop_1(X0,X2,X1)
<=> ! [X3] :
( ~ m1_subset_1(X3,X0)
| k1_binop_1(X1,X2,X3) = X3 ) ) ) ),
inference(flattening,[],[f7776]) ).
fof(f7778,plain,
! [X0,X1] :
( ~ m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| ! [X2] :
( ~ m1_subset_1(X2,X0)
| ( r3_binop_1(X0,X2,X1)
<=> ! [X3] :
( ~ m1_subset_1(X3,X0)
| ( k1_binop_1(X1,X3,X2) = X3
& k1_binop_1(X1,X2,X3) = X3 ) ) ) ) ),
inference(ennf_transformation,[],[f2057]) ).
fof(f7779,plain,
! [X0,X1] :
( ~ m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| ! [X2] :
( ~ m1_subset_1(X2,X0)
| ( r3_binop_1(X0,X2,X1)
<=> ! [X3] :
( ~ m1_subset_1(X3,X0)
| ( k1_binop_1(X1,X3,X2) = X3
& k1_binop_1(X1,X2,X3) = X3 ) ) ) ) ),
inference(flattening,[],[f7778]) ).
fof(f7780,plain,
! [X0] :
( v1_xboole_0(X0)
| ! [X1] :
( v1_xboole_0(X1)
| ! [X2] :
( ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ! [X3] :
( ~ m2_relset_1(X3,X1,X0)
| ~ v1_funct_2(X3,X1,X0)
| ~ v1_funct_1(X3)
| ~ v1_setwiseo(X2,X0)
| ~ v2_binop_1(X2,X0)
| ~ v1_binop_1(X2,X0)
| ~ v3_binop_1(X2,X0)
| ! [X4] :
( ~ m1_subset_1(X4,k5_finsub_1(X1))
| ! [X5] :
( ~ m1_subset_1(X5,k5_finsub_1(X1))
| k7_setwiseo(X1,X0,X2,k5_setwiseo(X1,X4,X5),X3) = k2_binop_1(X0,X0,X0,X2,k7_setwiseo(X1,X0,X2,X4,X3),k7_setwiseo(X1,X0,X2,X5,X3)) ) ) ) ) ) ),
inference(ennf_transformation,[],[f2476]) ).
fof(f7781,plain,
! [X0] :
( v1_xboole_0(X0)
| ! [X1] :
( v1_xboole_0(X1)
| ! [X2] :
( ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ! [X3] :
( ~ m2_relset_1(X3,X1,X0)
| ~ v1_funct_2(X3,X1,X0)
| ~ v1_funct_1(X3)
| ~ v1_setwiseo(X2,X0)
| ~ v2_binop_1(X2,X0)
| ~ v1_binop_1(X2,X0)
| ~ v3_binop_1(X2,X0)
| ! [X4] :
( ~ m1_subset_1(X4,k5_finsub_1(X1))
| ! [X5] :
( ~ m1_subset_1(X5,k5_finsub_1(X1))
| k7_setwiseo(X1,X0,X2,k5_setwiseo(X1,X4,X5),X3) = k2_binop_1(X0,X0,X0,X2,k7_setwiseo(X1,X0,X2,X4,X3),k7_setwiseo(X1,X0,X2,X5,X3)) ) ) ) ) ) ),
inference(flattening,[],[f7780]) ).
fof(f7782,plain,
! [X0] :
( v1_xboole_0(X0)
| ! [X1] :
( v1_xboole_0(X1)
| ! [X2] :
( ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ! [X3] :
( ~ m1_subset_1(X3,k5_finsub_1(X1))
| ! [X4] :
( ~ m2_relset_1(X4,X1,X0)
| ~ v1_funct_2(X4,X1,X0)
| ~ v1_funct_1(X4)
| ~ v1_setwiseo(X2,X0)
| ~ v2_binop_1(X2,X0)
| ~ v1_binop_1(X2,X0)
| ~ v3_binop_1(X2,X0)
| ! [X5] :
( ~ m1_subset_1(X5,X1)
| k7_setwiseo(X1,X0,X2,k5_setwiseo(X1,X3,k2_setwiseo(X1,X5)),X4) = k2_binop_1(X0,X0,X0,X2,k7_setwiseo(X1,X0,X2,X3,X4),k8_funct_2(X1,X0,X4,X5)) ) ) ) ) ) ),
inference(ennf_transformation,[],[f2475]) ).
fof(f7783,plain,
! [X0] :
( v1_xboole_0(X0)
| ! [X1] :
( v1_xboole_0(X1)
| ! [X2] :
( ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ! [X3] :
( ~ m1_subset_1(X3,k5_finsub_1(X1))
| ! [X4] :
( ~ m2_relset_1(X4,X1,X0)
| ~ v1_funct_2(X4,X1,X0)
| ~ v1_funct_1(X4)
| ~ v1_setwiseo(X2,X0)
| ~ v2_binop_1(X2,X0)
| ~ v1_binop_1(X2,X0)
| ~ v3_binop_1(X2,X0)
| ! [X5] :
( ~ m1_subset_1(X5,X1)
| k7_setwiseo(X1,X0,X2,k5_setwiseo(X1,X3,k2_setwiseo(X1,X5)),X4) = k2_binop_1(X0,X0,X0,X2,k7_setwiseo(X1,X0,X2,X3,X4),k8_funct_2(X1,X0,X4,X5)) ) ) ) ) ) ),
inference(flattening,[],[f7782]) ).
fof(f7784,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ m1_subset_1(X5,X1)
| ~ m1_subset_1(X4,X0)
| ~ m1_relset_1(X3,k2_zfmisc_1(X0,X1),X2)
| ~ v1_funct_2(X3,k2_zfmisc_1(X0,X1),X2)
| ~ v1_funct_1(X3)
| v1_xboole_0(X1)
| v1_xboole_0(X0)
| m1_subset_1(k2_binop_1(X0,X1,X2,X3,X4,X5),X2) ),
inference(ennf_transformation,[],[f2091]) ).
fof(f7785,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ m1_subset_1(X5,X1)
| ~ m1_subset_1(X4,X0)
| ~ m1_relset_1(X3,k2_zfmisc_1(X0,X1),X2)
| ~ v1_funct_2(X3,k2_zfmisc_1(X0,X1),X2)
| ~ v1_funct_1(X3)
| v1_xboole_0(X1)
| v1_xboole_0(X0)
| m1_subset_1(k2_binop_1(X0,X1,X2,X3,X4,X5),X2) ),
inference(flattening,[],[f7784]) ).
fof(f7786,plain,
! [X0] :
( v1_xboole_0(X0)
| ! [X1] :
( ~ m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| ( v2_binop_1(X1,X0)
<=> ! [X2] :
( ~ m1_subset_1(X2,X0)
| ! [X3] :
( ~ m1_subset_1(X3,X0)
| ! [X4] :
( ~ m1_subset_1(X4,X0)
| k2_binop_1(X0,X0,X0,X1,X2,k2_binop_1(X0,X0,X0,X1,X3,X4)) = k2_binop_1(X0,X0,X0,X1,k2_binop_1(X0,X0,X0,X1,X2,X3),X4) ) ) ) ) ) ),
inference(ennf_transformation,[],[f2081]) ).
fof(f7787,plain,
! [X0] :
( v1_xboole_0(X0)
| ! [X1] :
( ~ m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| ( v2_binop_1(X1,X0)
<=> ! [X2] :
( ~ m1_subset_1(X2,X0)
| ! [X3] :
( ~ m1_subset_1(X3,X0)
| ! [X4] :
( ~ m1_subset_1(X4,X0)
| k2_binop_1(X0,X0,X0,X1,X2,k2_binop_1(X0,X0,X0,X1,X3,X4)) = k2_binop_1(X0,X0,X0,X1,k2_binop_1(X0,X0,X0,X1,X2,X3),X4) ) ) ) ) ) ),
inference(flattening,[],[f7786]) ).
fof(f7788,plain,
! [X0] :
( v1_xboole_0(X0)
| ! [X1] :
( ~ m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| ( v1_binop_1(X1,X0)
<=> ! [X2] :
( ~ m1_subset_1(X2,X0)
| ! [X3] :
( ~ m1_subset_1(X3,X0)
| k2_binop_1(X0,X0,X0,X1,X2,X3) = k2_binop_1(X0,X0,X0,X1,X3,X2) ) ) ) ) ),
inference(ennf_transformation,[],[f2080]) ).
fof(f7789,plain,
! [X0] :
( v1_xboole_0(X0)
| ! [X1] :
( ~ m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| ( v1_binop_1(X1,X0)
<=> ! [X2] :
( ~ m1_subset_1(X2,X0)
| ! [X3] :
( ~ m1_subset_1(X3,X0)
| k2_binop_1(X0,X0,X0,X1,X2,X3) = k2_binop_1(X0,X0,X0,X1,X3,X2) ) ) ) ) ),
inference(flattening,[],[f7788]) ).
fof(f7790,plain,
! [X0] :
( v1_xboole_0(X0)
| ! [X1] :
( v1_xboole_0(X1)
| ! [X2] :
( v1_xboole_0(X2)
| ! [X3] :
( ~ m2_relset_1(X3,k2_zfmisc_1(X0,X1),X2)
| ~ v1_funct_2(X3,k2_zfmisc_1(X0,X1),X2)
| ~ v1_funct_1(X3)
| ! [X4] :
( ~ m2_relset_1(X4,k2_zfmisc_1(X0,X1),X2)
| ~ v1_funct_2(X4,k2_zfmisc_1(X0,X1),X2)
| ~ v1_funct_1(X4)
| ? [X5] :
( m1_subset_1(X5,X0)
& ? [X6] :
( m1_subset_1(X6,X1)
& k2_binop_1(X0,X1,X2,X3,X5,X6) != k2_binop_1(X0,X1,X2,X4,X5,X6) ) )
| X3 = X4 ) ) ) ) ),
inference(ennf_transformation,[],[f2042]) ).
fof(f7791,plain,
! [X0] :
( v1_xboole_0(X0)
| ! [X1] :
( v1_xboole_0(X1)
| ! [X2] :
( v1_xboole_0(X2)
| ! [X3] :
( ~ m2_relset_1(X3,k2_zfmisc_1(X0,X1),X2)
| ~ v1_funct_2(X3,k2_zfmisc_1(X0,X1),X2)
| ~ v1_funct_1(X3)
| ! [X4] :
( ~ m2_relset_1(X4,k2_zfmisc_1(X0,X1),X2)
| ~ v1_funct_2(X4,k2_zfmisc_1(X0,X1),X2)
| ~ v1_funct_1(X4)
| ? [X5] :
( m1_subset_1(X5,X0)
& ? [X6] :
( m1_subset_1(X6,X1)
& k2_binop_1(X0,X1,X2,X3,X5,X6) != k2_binop_1(X0,X1,X2,X4,X5,X6) ) )
| X3 = X4 ) ) ) ) ),
inference(flattening,[],[f7790]) ).
fof(f7792,plain,
! [X0] :
( ~ l3_lattices(X0)
| ( l2_lattices(X0)
& l1_lattices(X0) ) ),
inference(ennf_transformation,[],[f4579]) ).
fof(f7793,plain,
! [X0] :
( ~ l2_lattices(X0)
| l1_struct_0(X0) ),
inference(ennf_transformation,[],[f4577]) ).
fof(f7796,plain,
! [X0] :
( ~ l1_lattices(X0)
| ~ v6_lattices(X0)
| v3_struct_0(X0)
| ( v1_partfun1(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& v1_binop_1(u1_lattices(X0),u1_struct_0(X0))
& v1_funct_2(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& v1_funct_1(u1_lattices(X0))
& v1_relat_1(u1_lattices(X0)) ) ),
inference(ennf_transformation,[],[f5610]) ).
fof(f7797,plain,
! [X0] :
( ~ l1_lattices(X0)
| ~ v6_lattices(X0)
| v3_struct_0(X0)
| ( v1_partfun1(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& v1_binop_1(u1_lattices(X0),u1_struct_0(X0))
& v1_funct_2(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& v1_funct_1(u1_lattices(X0))
& v1_relat_1(u1_lattices(X0)) ) ),
inference(flattening,[],[f7796]) ).
fof(f7798,plain,
! [X0] :
( ~ l1_lattices(X0)
| ( m2_relset_1(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& v1_funct_2(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& v1_funct_1(u1_lattices(X0)) ) ),
inference(ennf_transformation,[],[f4597]) ).
fof(f7799,plain,
! [X0,X1,X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l1_lattices(X0)
| ~ v6_lattices(X0)
| v3_struct_0(X0)
| k4_lattices(X0,X1,X2) = k2_lattices(X0,X1,X2) ),
inference(ennf_transformation,[],[f4593]) ).
fof(f7800,plain,
! [X0,X1,X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l1_lattices(X0)
| ~ v6_lattices(X0)
| v3_struct_0(X0)
| k4_lattices(X0,X1,X2) = k2_lattices(X0,X1,X2) ),
inference(flattening,[],[f7799]) ).
fof(f7801,plain,
! [X0,X1,X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l1_lattices(X0)
| ~ v6_lattices(X0)
| v3_struct_0(X0)
| k4_lattices(X0,X1,X2) = k4_lattices(X0,X2,X1) ),
inference(ennf_transformation,[],[f4592]) ).
fof(f7802,plain,
! [X0,X1,X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l1_lattices(X0)
| ~ v6_lattices(X0)
| v3_struct_0(X0)
| k4_lattices(X0,X1,X2) = k4_lattices(X0,X2,X1) ),
inference(flattening,[],[f7801]) ).
fof(f7803,plain,
! [X0,X1,X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l1_lattices(X0)
| ~ v6_lattices(X0)
| v3_struct_0(X0)
| m1_subset_1(k4_lattices(X0,X1,X2),u1_struct_0(X0)) ),
inference(ennf_transformation,[],[f4591]) ).
fof(f7804,plain,
! [X0,X1,X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l1_lattices(X0)
| ~ v6_lattices(X0)
| v3_struct_0(X0)
| m1_subset_1(k4_lattices(X0,X1,X2),u1_struct_0(X0)) ),
inference(flattening,[],[f7803]) ).
fof(f7805,plain,
! [X0,X1,X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l1_lattices(X0)
| v3_struct_0(X0)
| m1_subset_1(k2_lattices(X0,X1,X2),u1_struct_0(X0)) ),
inference(ennf_transformation,[],[f4587]) ).
fof(f7806,plain,
! [X0,X1,X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l1_lattices(X0)
| v3_struct_0(X0)
| m1_subset_1(k2_lattices(X0,X1,X2),u1_struct_0(X0)) ),
inference(flattening,[],[f7805]) ).
fof(f7807,plain,
! [X0] :
( ~ l1_lattices(X0)
| l1_struct_0(X0) ),
inference(ennf_transformation,[],[f4575]) ).
fof(f7808,plain,
! [X0] :
( ~ l1_lattices(X0)
| v3_struct_0(X0)
| ~ v13_lattices(X0)
| ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ( X1 = k5_lattices(X0)
<=> ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| ( k2_lattices(X0,X2,X1) = X1
& k2_lattices(X0,X1,X2) = X1 ) ) ) ) ),
inference(ennf_transformation,[],[f4516]) ).
fof(f7809,plain,
! [X0] :
( ~ l1_lattices(X0)
| v3_struct_0(X0)
| ~ v13_lattices(X0)
| ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ( X1 = k5_lattices(X0)
<=> ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| ( k2_lattices(X0,X2,X1) = X1
& k2_lattices(X0,X1,X2) = X1 ) ) ) ) ),
inference(flattening,[],[f7808]) ).
fof(f7810,plain,
! [X0] :
( ~ l1_lattices(X0)
| v3_struct_0(X0)
| ( v13_lattices(X0)
<=> ? [X1] :
( ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| ( k2_lattices(X0,X2,X1) = X1
& k2_lattices(X0,X1,X2) = X1 ) )
& m1_subset_1(X1,u1_struct_0(X0)) ) ) ),
inference(ennf_transformation,[],[f4513]) ).
fof(f7811,plain,
! [X0] :
( ~ l1_lattices(X0)
| v3_struct_0(X0)
| ( v13_lattices(X0)
<=> ? [X1] :
( ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| ( k2_lattices(X0,X2,X1) = X1
& k2_lattices(X0,X1,X2) = X1 ) )
& m1_subset_1(X1,u1_struct_0(X0)) ) ) ),
inference(flattening,[],[f7810]) ).
fof(f7812,plain,
! [X0] :
( ~ l1_lattices(X0)
| v3_struct_0(X0)
| ( v7_lattices(X0)
<=> ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| ! [X3] :
( ~ m1_subset_1(X3,u1_struct_0(X0))
| k2_lattices(X0,X1,k2_lattices(X0,X2,X3)) = k2_lattices(X0,k2_lattices(X0,X1,X2),X3) ) ) ) ) ),
inference(ennf_transformation,[],[f4507]) ).
fof(f7813,plain,
! [X0] :
( ~ l1_lattices(X0)
| v3_struct_0(X0)
| ( v7_lattices(X0)
<=> ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| ! [X3] :
( ~ m1_subset_1(X3,u1_struct_0(X0))
| k2_lattices(X0,X1,k2_lattices(X0,X2,X3)) = k2_lattices(X0,k2_lattices(X0,X1,X2),X3) ) ) ) ) ),
inference(flattening,[],[f7812]) ).
fof(f7814,plain,
! [X0] :
( ~ l1_lattices(X0)
| v3_struct_0(X0)
| ( v6_lattices(X0)
<=> ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| k2_lattices(X0,X1,X2) = k2_lattices(X0,X2,X1) ) ) ) ),
inference(ennf_transformation,[],[f4506]) ).
fof(f7815,plain,
! [X0] :
( ~ l1_lattices(X0)
| v3_struct_0(X0)
| ( v6_lattices(X0)
<=> ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| k2_lattices(X0,X1,X2) = k2_lattices(X0,X2,X1) ) ) ) ),
inference(flattening,[],[f7814]) ).
fof(f7816,plain,
! [X0] :
( ~ l1_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| k2_lattices(X0,X1,X2) = k2_binop_1(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),u1_lattices(X0),X1,X2) ) ) ),
inference(ennf_transformation,[],[f4502]) ).
fof(f7817,plain,
! [X0] :
( ~ l1_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| k2_lattices(X0,X1,X2) = k2_binop_1(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),u1_lattices(X0),X1,X2) ) ) ),
inference(flattening,[],[f7816]) ).
fof(f7818,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v13_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,k5_finsub_1(u1_struct_0(X0)))
| ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| ! [X3] :
( ~ m2_relset_1(X3,u1_struct_0(X0),u1_struct_0(X0))
| ~ v1_funct_2(X3,u1_struct_0(X0),u1_struct_0(X0))
| ~ v1_funct_1(X3)
| k2_lattice2(u1_struct_0(X0),X0,k5_setwiseo(u1_struct_0(X0),X1,k2_setwiseo(u1_struct_0(X0),X2)),X3) = k3_lattices(X0,k2_lattice2(u1_struct_0(X0),X0,X1,X3),k8_funct_2(u1_struct_0(X0),u1_struct_0(X0),X3,X2)) ) ) ) ),
inference(ennf_transformation,[],[f6338]) ).
fof(f7819,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v13_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,k5_finsub_1(u1_struct_0(X0)))
| ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| ! [X3] :
( ~ m2_relset_1(X3,u1_struct_0(X0),u1_struct_0(X0))
| ~ v1_funct_2(X3,u1_struct_0(X0),u1_struct_0(X0))
| ~ v1_funct_1(X3)
| k2_lattice2(u1_struct_0(X0),X0,k5_setwiseo(u1_struct_0(X0),X1,k2_setwiseo(u1_struct_0(X0),X2)),X3) = k3_lattices(X0,k2_lattice2(u1_struct_0(X0),X0,X1,X3),k8_funct_2(u1_struct_0(X0),u1_struct_0(X0),X3,X2)) ) ) ) ),
inference(flattening,[],[f7818]) ).
fof(f7820,plain,
! [X0,X1,X2,X3] :
( ~ m1_relset_1(X3,X0,u1_struct_0(X1))
| ~ v1_funct_2(X3,X0,u1_struct_0(X1))
| ~ v1_funct_1(X3)
| ~ m1_subset_1(X2,k5_finsub_1(X0))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| v1_xboole_0(X0)
| m1_subset_1(k2_lattice2(X0,X1,X2,X3),u1_struct_0(X1)) ),
inference(ennf_transformation,[],[f5713]) ).
fof(f7821,plain,
! [X0,X1,X2,X3] :
( ~ m1_relset_1(X3,X0,u1_struct_0(X1))
| ~ v1_funct_2(X3,X0,u1_struct_0(X1))
| ~ v1_funct_1(X3)
| ~ m1_subset_1(X2,k5_finsub_1(X0))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| v1_xboole_0(X0)
| m1_subset_1(k2_lattice2(X0,X1,X2,X3),u1_struct_0(X1)) ),
inference(flattening,[],[f7820]) ).
fof(f7822,plain,
! [X0] :
( v1_xboole_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,k5_finsub_1(X0))
| ! [X2] :
( ~ l3_lattices(X2)
| ~ v13_lattices(X2)
| ~ v10_lattices(X2)
| v3_struct_0(X2)
| ! [X3] :
( ~ m2_relset_1(X3,X0,u1_struct_0(X2))
| ~ v1_funct_2(X3,X0,u1_struct_0(X2))
| ~ v1_funct_1(X3)
| ! [X4] :
( ~ m2_relset_1(X4,X0,u1_struct_0(X2))
| ~ v1_funct_2(X4,X0,u1_struct_0(X2))
| ~ v1_funct_1(X4)
| ? [X5] :
( m1_subset_1(X5,X0)
& r2_hidden(X5,X1)
& ~ r3_lattices(X2,k8_funct_2(X0,u1_struct_0(X2),X3,X5),k8_funct_2(X0,u1_struct_0(X2),X4,X5)) )
| r3_lattices(X2,k2_lattice2(X0,X2,X1,X3),k2_lattice2(X0,X2,X1,X4)) ) ) ) ) ),
inference(ennf_transformation,[],[f5695]) ).
fof(f7823,plain,
! [X0] :
( v1_xboole_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,k5_finsub_1(X0))
| ! [X2] :
( ~ l3_lattices(X2)
| ~ v13_lattices(X2)
| ~ v10_lattices(X2)
| v3_struct_0(X2)
| ! [X3] :
( ~ m2_relset_1(X3,X0,u1_struct_0(X2))
| ~ v1_funct_2(X3,X0,u1_struct_0(X2))
| ~ v1_funct_1(X3)
| ! [X4] :
( ~ m2_relset_1(X4,X0,u1_struct_0(X2))
| ~ v1_funct_2(X4,X0,u1_struct_0(X2))
| ~ v1_funct_1(X4)
| ? [X5] :
( m1_subset_1(X5,X0)
& r2_hidden(X5,X1)
& ~ r3_lattices(X2,k8_funct_2(X0,u1_struct_0(X2),X3,X5),k8_funct_2(X0,u1_struct_0(X2),X4,X5)) )
| r3_lattices(X2,k2_lattice2(X0,X2,X1,X3),k2_lattice2(X0,X2,X1,X4)) ) ) ) ) ),
inference(flattening,[],[f7822]) ).
fof(f7824,plain,
! [X0] :
( v1_xboole_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,k5_finsub_1(X0))
| ! [X2] :
( ~ l3_lattices(X2)
| ~ v13_lattices(X2)
| ~ v10_lattices(X2)
| v3_struct_0(X2)
| ! [X3] :
( ~ m2_relset_1(X3,X0,u1_struct_0(X2))
| ~ v1_funct_2(X3,X0,u1_struct_0(X2))
| ~ v1_funct_1(X3)
| ! [X4] :
( ~ m1_subset_1(X4,u1_struct_0(X2))
| ? [X5] :
( m1_subset_1(X5,X0)
& r2_hidden(X5,X1)
& ~ r3_lattices(X2,k8_funct_2(X0,u1_struct_0(X2),X3,X5),X4) )
| r3_lattices(X2,k2_lattice2(X0,X2,X1,X3),X4) ) ) ) ) ),
inference(ennf_transformation,[],[f5694]) ).
fof(f7825,plain,
! [X0] :
( v1_xboole_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,k5_finsub_1(X0))
| ! [X2] :
( ~ l3_lattices(X2)
| ~ v13_lattices(X2)
| ~ v10_lattices(X2)
| v3_struct_0(X2)
| ! [X3] :
( ~ m2_relset_1(X3,X0,u1_struct_0(X2))
| ~ v1_funct_2(X3,X0,u1_struct_0(X2))
| ~ v1_funct_1(X3)
| ! [X4] :
( ~ m1_subset_1(X4,u1_struct_0(X2))
| ? [X5] :
( m1_subset_1(X5,X0)
& r2_hidden(X5,X1)
& ~ r3_lattices(X2,k8_funct_2(X0,u1_struct_0(X2),X3,X5),X4) )
| r3_lattices(X2,k2_lattice2(X0,X2,X1,X3),X4) ) ) ) ) ),
inference(flattening,[],[f7824]) ).
fof(f7826,plain,
! [X0] :
( v1_xboole_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,k5_finsub_1(X0))
| ! [X2] :
( ~ l3_lattices(X2)
| ~ v13_lattices(X2)
| ~ v10_lattices(X2)
| v3_struct_0(X2)
| ! [X3] :
( ~ m2_relset_1(X3,X0,u1_struct_0(X2))
| ~ v1_funct_2(X3,X0,u1_struct_0(X2))
| ~ v1_funct_1(X3)
| ! [X4] :
( ~ m2_relset_1(X4,X0,u1_struct_0(X2))
| ~ v1_funct_2(X4,X0,u1_struct_0(X2))
| ~ v1_funct_1(X4)
| k2_partfun1(X0,u1_struct_0(X2),X3,X1) != k2_partfun1(X0,u1_struct_0(X2),X4,X1)
| k2_lattice2(X0,X2,X1,X3) = k2_lattice2(X0,X2,X1,X4) ) ) ) ) ),
inference(ennf_transformation,[],[f5693]) ).
fof(f7827,plain,
! [X0] :
( v1_xboole_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,k5_finsub_1(X0))
| ! [X2] :
( ~ l3_lattices(X2)
| ~ v13_lattices(X2)
| ~ v10_lattices(X2)
| v3_struct_0(X2)
| ! [X3] :
( ~ m2_relset_1(X3,X0,u1_struct_0(X2))
| ~ v1_funct_2(X3,X0,u1_struct_0(X2))
| ~ v1_funct_1(X3)
| ! [X4] :
( ~ m2_relset_1(X4,X0,u1_struct_0(X2))
| ~ v1_funct_2(X4,X0,u1_struct_0(X2))
| ~ v1_funct_1(X4)
| k2_partfun1(X0,u1_struct_0(X2),X3,X1) != k2_partfun1(X0,u1_struct_0(X2),X4,X1)
| k2_lattice2(X0,X2,X1,X3) = k2_lattice2(X0,X2,X1,X4) ) ) ) ) ),
inference(flattening,[],[f7826]) ).
fof(f7828,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( v1_xboole_0(X1)
| ! [X2] :
( ~ m1_subset_1(X2,k5_finsub_1(X1))
| ! [X3] :
( ~ m2_relset_1(X3,X1,u1_struct_0(X0))
| ~ v1_funct_2(X3,X1,u1_struct_0(X0))
| ~ v1_funct_1(X3)
| ! [X4] :
( ~ m2_relset_1(X4,X1,u1_struct_0(X0))
| ~ v1_funct_2(X4,X1,u1_struct_0(X0))
| ~ v1_funct_1(X4)
| k2_partfun1(X1,u1_struct_0(X0),X3,X2) != k2_partfun1(X1,u1_struct_0(X0),X4,X2)
| k2_lattice2(X1,X0,X2,X3) = k2_lattice2(X1,X0,X2,X4)
| X2 = k1_xboole_0 ) ) ) ) ),
inference(ennf_transformation,[],[f5673]) ).
fof(f7829,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( v1_xboole_0(X1)
| ! [X2] :
( ~ m1_subset_1(X2,k5_finsub_1(X1))
| ! [X3] :
( ~ m2_relset_1(X3,X1,u1_struct_0(X0))
| ~ v1_funct_2(X3,X1,u1_struct_0(X0))
| ~ v1_funct_1(X3)
| ! [X4] :
( ~ m2_relset_1(X4,X1,u1_struct_0(X0))
| ~ v1_funct_2(X4,X1,u1_struct_0(X0))
| ~ v1_funct_1(X4)
| k2_partfun1(X1,u1_struct_0(X0),X3,X2) != k2_partfun1(X1,u1_struct_0(X0),X4,X2)
| k2_lattice2(X1,X0,X2,X3) = k2_lattice2(X1,X0,X2,X4)
| X2 = k1_xboole_0 ) ) ) ) ),
inference(flattening,[],[f7828]) ).
fof(f7830,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( v1_xboole_0(X1)
| ! [X2] :
( ~ m1_subset_1(X2,k5_finsub_1(X1))
| ! [X3] :
( ~ m2_relset_1(X3,X1,u1_struct_0(X0))
| ~ v1_funct_2(X3,X1,u1_struct_0(X0))
| ~ v1_funct_1(X3)
| ! [X4] :
( ~ m2_relset_1(X4,X1,u1_struct_0(X0))
| ~ v1_funct_2(X4,X1,u1_struct_0(X0))
| ~ v1_funct_1(X4)
| ? [X5] :
( m1_subset_1(X5,X1)
& r2_hidden(X5,X2)
& ~ r3_lattices(X0,k8_funct_2(X1,u1_struct_0(X0),X3,X5),k8_funct_2(X1,u1_struct_0(X0),X4,X5)) )
| r3_lattices(X0,k2_lattice2(X1,X0,X2,X3),k2_lattice2(X1,X0,X2,X4))
| X2 = k1_xboole_0 ) ) ) ) ),
inference(ennf_transformation,[],[f5672]) ).
fof(f7831,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( v1_xboole_0(X1)
| ! [X2] :
( ~ m1_subset_1(X2,k5_finsub_1(X1))
| ! [X3] :
( ~ m2_relset_1(X3,X1,u1_struct_0(X0))
| ~ v1_funct_2(X3,X1,u1_struct_0(X0))
| ~ v1_funct_1(X3)
| ! [X4] :
( ~ m2_relset_1(X4,X1,u1_struct_0(X0))
| ~ v1_funct_2(X4,X1,u1_struct_0(X0))
| ~ v1_funct_1(X4)
| ? [X5] :
( m1_subset_1(X5,X1)
& r2_hidden(X5,X2)
& ~ r3_lattices(X0,k8_funct_2(X1,u1_struct_0(X0),X3,X5),k8_funct_2(X1,u1_struct_0(X0),X4,X5)) )
| r3_lattices(X0,k2_lattice2(X1,X0,X2,X3),k2_lattice2(X1,X0,X2,X4))
| X2 = k1_xboole_0 ) ) ) ) ),
inference(flattening,[],[f7830]) ).
fof(f7832,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ! [X2] :
( v1_xboole_0(X2)
| ! [X3] :
( ~ m1_subset_1(X3,k5_finsub_1(X2))
| ! [X4] :
( ~ m2_relset_1(X4,X2,u1_struct_0(X0))
| ~ v1_funct_2(X4,X2,u1_struct_0(X0))
| ~ v1_funct_1(X4)
| ? [X5] :
( m1_subset_1(X5,X2)
& r2_hidden(X5,X3)
& ~ r3_lattices(X0,k8_funct_2(X2,u1_struct_0(X0),X4,X5),X1) )
| r3_lattices(X0,k2_lattice2(X2,X0,X3,X4),X1)
| X3 = k1_xboole_0 ) ) ) ) ),
inference(ennf_transformation,[],[f5671]) ).
fof(f7833,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ! [X2] :
( v1_xboole_0(X2)
| ! [X3] :
( ~ m1_subset_1(X3,k5_finsub_1(X2))
| ! [X4] :
( ~ m2_relset_1(X4,X2,u1_struct_0(X0))
| ~ v1_funct_2(X4,X2,u1_struct_0(X0))
| ~ v1_funct_1(X4)
| ? [X5] :
( m1_subset_1(X5,X2)
& r2_hidden(X5,X3)
& ~ r3_lattices(X0,k8_funct_2(X2,u1_struct_0(X0),X4,X5),X1) )
| r3_lattices(X0,k2_lattice2(X2,X0,X3,X4),X1)
| X3 = k1_xboole_0 ) ) ) ) ),
inference(flattening,[],[f7832]) ).
fof(f7834,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ! [X2] :
( v1_xboole_0(X2)
| ! [X3] :
( ~ m1_subset_1(X3,k5_finsub_1(X2))
| ! [X4] :
( ~ m2_relset_1(X4,X2,u1_struct_0(X0))
| ~ v1_funct_2(X4,X2,u1_struct_0(X0))
| ~ v1_funct_1(X4)
| ~ r3_lattices(X0,k2_lattice2(X2,X0,X3,X4),X1)
| ! [X5] :
( ~ m1_subset_1(X5,X2)
| ~ r2_hidden(X5,X3)
| r3_lattices(X0,k8_funct_2(X2,u1_struct_0(X0),X4,X5),X1) ) ) ) ) ) ),
inference(ennf_transformation,[],[f5670]) ).
fof(f7835,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ! [X2] :
( v1_xboole_0(X2)
| ! [X3] :
( ~ m1_subset_1(X3,k5_finsub_1(X2))
| ! [X4] :
( ~ m2_relset_1(X4,X2,u1_struct_0(X0))
| ~ v1_funct_2(X4,X2,u1_struct_0(X0))
| ~ v1_funct_1(X4)
| ~ r3_lattices(X0,k2_lattice2(X2,X0,X3,X4),X1)
| ! [X5] :
( ~ m1_subset_1(X5,X2)
| ~ r2_hidden(X5,X3)
| r3_lattices(X0,k8_funct_2(X2,u1_struct_0(X0),X4,X5),X1) ) ) ) ) ) ),
inference(flattening,[],[f7834]) ).
fof(f7836,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ! [X2] :
( v1_xboole_0(X2)
| ! [X3] :
( ~ m1_subset_1(X3,k5_finsub_1(X2))
| ! [X4] :
( ~ m2_relset_1(X4,X2,u1_struct_0(X0))
| ~ v1_funct_2(X4,X2,u1_struct_0(X0))
| ~ v1_funct_1(X4)
| ? [X5] :
( m1_subset_1(X5,X2)
& r2_hidden(X5,X3)
& k8_funct_2(X2,u1_struct_0(X0),X4,X5) != X1 )
| k2_lattice2(X2,X0,X3,X4) = X1
| X3 = k1_xboole_0 ) ) ) ) ),
inference(ennf_transformation,[],[f5669]) ).
fof(f7837,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ! [X2] :
( v1_xboole_0(X2)
| ! [X3] :
( ~ m1_subset_1(X3,k5_finsub_1(X2))
| ! [X4] :
( ~ m2_relset_1(X4,X2,u1_struct_0(X0))
| ~ v1_funct_2(X4,X2,u1_struct_0(X0))
| ~ v1_funct_1(X4)
| ? [X5] :
( m1_subset_1(X5,X2)
& r2_hidden(X5,X3)
& k8_funct_2(X2,u1_struct_0(X0),X4,X5) != X1 )
| k2_lattice2(X2,X0,X3,X4) = X1
| X3 = k1_xboole_0 ) ) ) ) ),
inference(flattening,[],[f7836]) ).
fof(f7838,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ! [X2] :
( v1_xboole_0(X2)
| ! [X3] :
( ~ m1_subset_1(X3,k5_finsub_1(X2))
| ! [X4] :
( ~ m2_relset_1(X4,X2,u1_struct_0(X0))
| ~ v1_funct_2(X4,X2,u1_struct_0(X0))
| ~ v1_funct_1(X4)
| ! [X5] :
( ~ r3_lattices(X0,X1,k8_funct_2(X2,u1_struct_0(X0),X4,X5))
| ~ r2_hidden(X5,X3)
| ~ m1_subset_1(X5,X2) )
| r3_lattices(X0,X1,k2_lattice2(X2,X0,X3,X4)) ) ) ) ) ),
inference(ennf_transformation,[],[f5668]) ).
fof(f7839,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ! [X2] :
( v1_xboole_0(X2)
| ! [X3] :
( ~ m1_subset_1(X3,k5_finsub_1(X2))
| ! [X4] :
( ~ m2_relset_1(X4,X2,u1_struct_0(X0))
| ~ v1_funct_2(X4,X2,u1_struct_0(X0))
| ~ v1_funct_1(X4)
| ! [X5] :
( ~ r3_lattices(X0,X1,k8_funct_2(X2,u1_struct_0(X0),X4,X5))
| ~ r2_hidden(X5,X3)
| ~ m1_subset_1(X5,X2) )
| r3_lattices(X0,X1,k2_lattice2(X2,X0,X3,X4)) ) ) ) ) ),
inference(flattening,[],[f7838]) ).
fof(f7840,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( v1_xboole_0(X1)
| ! [X2] :
( ~ m1_subset_1(X2,X1)
| ! [X3] :
( ~ m1_subset_1(X3,k5_finsub_1(X1))
| ! [X4] :
( ~ m2_relset_1(X4,X1,u1_struct_0(X0))
| ~ v1_funct_2(X4,X1,u1_struct_0(X0))
| ~ v1_funct_1(X4)
| ~ r2_hidden(X2,X3)
| r3_lattices(X0,k8_funct_2(X1,u1_struct_0(X0),X4,X2),k2_lattice2(X1,X0,X3,X4)) ) ) ) ) ),
inference(ennf_transformation,[],[f5667]) ).
fof(f7841,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( v1_xboole_0(X1)
| ! [X2] :
( ~ m1_subset_1(X2,X1)
| ! [X3] :
( ~ m1_subset_1(X3,k5_finsub_1(X1))
| ! [X4] :
( ~ m2_relset_1(X4,X1,u1_struct_0(X0))
| ~ v1_funct_2(X4,X1,u1_struct_0(X0))
| ~ v1_funct_1(X4)
| ~ r2_hidden(X2,X3)
| r3_lattices(X0,k8_funct_2(X1,u1_struct_0(X0),X4,X2),k2_lattice2(X1,X0,X3,X4)) ) ) ) ) ),
inference(flattening,[],[f7840]) ).
fof(f7842,plain,
! [X0] :
( v1_xboole_0(X0)
| ! [X1] :
( ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ! [X2] :
( ~ m1_subset_1(X2,k5_finsub_1(X0))
| ! [X3] :
( ~ m2_relset_1(X3,X0,u1_struct_0(X1))
| ~ v1_funct_2(X3,X0,u1_struct_0(X1))
| ~ v1_funct_1(X3)
| k2_lattice2(X0,X1,X2,X3) = k7_setwiseo(X0,u1_struct_0(X1),u2_lattices(X1),X2,X3) ) ) ) ),
inference(ennf_transformation,[],[f5664]) ).
fof(f7843,plain,
! [X0] :
( v1_xboole_0(X0)
| ! [X1] :
( ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ! [X2] :
( ~ m1_subset_1(X2,k5_finsub_1(X0))
| ! [X3] :
( ~ m2_relset_1(X3,X0,u1_struct_0(X1))
| ~ v1_funct_2(X3,X0,u1_struct_0(X1))
| ~ v1_funct_1(X3)
| k2_lattice2(X0,X1,X2,X3) = k7_setwiseo(X0,u1_struct_0(X1),u2_lattices(X1),X2,X3) ) ) ) ),
inference(flattening,[],[f7842]) ).
fof(f7844,plain,
! [X0] :
( ~ l1_struct_0(X0)
| ( v3_realset2(X0)
<=> v1_realset1(u1_struct_0(X0)) ) ),
inference(ennf_transformation,[],[f5312]) ).
fof(f7845,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,X0)
| v1_realset1(X0)
| k5_realset1(X0,X1) = k1_tarski(X1) ),
inference(ennf_transformation,[],[f4109]) ).
fof(f7846,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,X0)
| v1_realset1(X0)
| k5_realset1(X0,X1) = k1_tarski(X1) ),
inference(flattening,[],[f7845]) ).
fof(f7847,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ( ( ~ v1_realset1(X1)
| ! [X4] :
( ! [X5] :
( X4 = X5
| ~ r2_hidden(X5,X1)
| ~ r2_hidden(X4,X1)
| ~ m1_subset_1(X5,X0) )
| ~ m1_subset_1(X4,X0) ) )
& ( ? [X2] :
( m1_subset_1(X2,X0)
& ? [X3] :
( m1_subset_1(X3,X0)
& X2 != X3
& r2_hidden(X3,X1)
& r2_hidden(X2,X1) ) )
| v1_realset1(X1) ) ) ),
inference(ennf_transformation,[],[f6483]) ).
fof(f7848,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ( ( ~ v1_realset1(X1)
| ! [X4] :
( ! [X5] :
( X4 = X5
| ~ r2_hidden(X5,X1)
| ~ r2_hidden(X4,X1)
| ~ m1_subset_1(X5,X0) )
| ~ m1_subset_1(X4,X0) ) )
& ( ? [X2] :
( m1_subset_1(X2,X0)
& ? [X3] :
( m1_subset_1(X3,X0)
& X2 != X3
& r2_hidden(X3,X1)
& r2_hidden(X2,X1) ) )
| v1_realset1(X1) ) ) ),
inference(flattening,[],[f7847]) ).
fof(f7849,plain,
! [X0] :
( ( ~ v1_realset1(X0)
| ! [X3,X4] :
( X3 = X4
| ~ r2_hidden(X4,X0)
| ~ r2_hidden(X3,X0) ) )
& ( ? [X1,X2] :
( X1 != X2
& r2_hidden(X2,X0)
& r2_hidden(X1,X0) )
| v1_realset1(X0) ) ),
inference(ennf_transformation,[],[f6484]) ).
fof(f7850,plain,
! [X0] :
( v1_xboole_0(X0)
| ? [X1] :
( m1_subset_1(X1,X0)
& v1_xboole_0(k4_xboole_0(X0,k1_tarski(X1))) )
| ~ v1_realset1(X0) ),
inference(ennf_transformation,[],[f4080]) ).
fof(f7851,plain,
! [X0] :
( v1_xboole_0(X0)
| ? [X1] :
( m1_subset_1(X1,X0)
& v1_xboole_0(k4_xboole_0(X0,k1_tarski(X1))) )
| ~ v1_realset1(X0) ),
inference(flattening,[],[f7850]) ).
fof(f7852,plain,
! [X0] :
( v1_xboole_0(X0)
| ~ v1_realset1(X0)
| ? [X1] :
( m1_subset_1(X1,X0)
& v1_xboole_0(k4_xboole_0(X0,k1_tarski(X1))) ) ),
inference(ennf_transformation,[],[f4079]) ).
fof(f7853,plain,
! [X0] :
( v1_xboole_0(X0)
| ~ v1_realset1(X0)
| ? [X1] :
( m1_subset_1(X1,X0)
& v1_xboole_0(k4_xboole_0(X0,k1_tarski(X1))) ) ),
inference(flattening,[],[f7852]) ).
fof(f7854,plain,
! [X0] :
( v1_xboole_0(X0)
| ( ~ v1_realset1(X0)
<=> ! [X1] : ~ v1_xboole_0(k4_xboole_0(X0,k1_tarski(X1))) ) ),
inference(ennf_transformation,[],[f4077]) ).
fof(f7855,plain,
! [X0] :
( v1_realset1(X0)
<=> ( ? [X1] : k1_tarski(X1) = X0
| v1_xboole_0(X0) ) ),
inference(ennf_transformation,[],[f4076]) ).
fof(f7856,plain,
! [X0] :
( v1_realset1(X0)
| ~ v1_xboole_0(X0) ),
inference(ennf_transformation,[],[f4066]) ).
fof(f7857,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,X0)
| ? [X2] : m3_realset1(X2,X0,X1) ),
inference(ennf_transformation,[],[f4100]) ).
fof(f7858,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,X0)
| ! [X2] :
( ~ m3_realset1(X2,X0,X1)
| ( m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
& v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
& v1_funct_1(X2) ) ) ),
inference(ennf_transformation,[],[f4099]) ).
fof(f7859,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,X0)
| ! [X2] :
( ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ( m3_realset1(X2,X0,X1)
<=> ! [X3] :
( ~ r2_hidden(X3,k2_zfmisc_1(k4_xboole_0(X0,k1_tarski(X1)),k4_xboole_0(X0,k1_tarski(X1))))
| r2_hidden(k1_funct_1(X2,X3),k4_xboole_0(X0,k1_tarski(X1))) ) ) ) ),
inference(ennf_transformation,[],[f4087]) ).
fof(f7860,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,X0)
| ! [X2] :
( ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ( m3_realset1(X2,X0,X1)
<=> ! [X3] :
( ~ r2_hidden(X3,k2_zfmisc_1(k4_xboole_0(X0,k1_tarski(X1)),k4_xboole_0(X0,k1_tarski(X1))))
| r2_hidden(k1_funct_1(X2,X3),k4_xboole_0(X0,k1_tarski(X1))) ) ) ) ),
inference(flattening,[],[f7859]) ).
fof(f7861,plain,
! [X0,X1] :
( ~ v1_finset_1(X1)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ( v1_finset_1(k7_relat_1(X0,X1))
& v1_funct_1(k7_relat_1(X0,X1))
& v1_relat_1(k7_relat_1(X0,X1)) ) ),
inference(ennf_transformation,[],[f4207]) ).
fof(f7862,plain,
! [X0,X1] :
( ~ v1_finset_1(X1)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ( v1_finset_1(k7_relat_1(X0,X1))
& v1_funct_1(k7_relat_1(X0,X1))
& v1_relat_1(k7_relat_1(X0,X1)) ) ),
inference(flattening,[],[f7861]) ).
fof(f7863,plain,
! [X0] :
( v1_xboole_0(X0)
| ! [X1] :
( v1_xboole_0(X1)
| ! [X2] :
( ~ m2_relset_1(X2,X0,X1)
| ~ v1_funct_2(X2,X0,X1)
| ~ v1_funct_1(X2)
| ! [X3] :
( ~ m2_relset_1(X3,X0,X1)
| ~ v1_funct_2(X3,X0,X1)
| ~ v1_funct_1(X3)
| ! [X4] :
( k7_relat_1(X2,X4) != k7_relat_1(X3,X4)
| ! [X5] :
( ~ m1_subset_1(X5,X0)
| ~ r2_hidden(X5,X4)
| k8_funct_2(X0,X1,X2,X5) = k8_funct_2(X0,X1,X3,X5) ) ) ) ) ) ),
inference(ennf_transformation,[],[f2540]) ).
fof(f7864,plain,
! [X0] :
( v1_xboole_0(X0)
| ! [X1] :
( v1_xboole_0(X1)
| ! [X2] :
( ~ m2_relset_1(X2,X0,X1)
| ~ v1_funct_2(X2,X0,X1)
| ~ v1_funct_1(X2)
| ! [X3] :
( ~ m2_relset_1(X3,X0,X1)
| ~ v1_funct_2(X3,X0,X1)
| ~ v1_funct_1(X3)
| ! [X4] :
( k7_relat_1(X2,X4) != k7_relat_1(X3,X4)
| ! [X5] :
( ~ m1_subset_1(X5,X0)
| ~ r2_hidden(X5,X4)
| k8_funct_2(X0,X1,X2,X5) = k8_funct_2(X0,X1,X3,X5) ) ) ) ) ) ),
inference(flattening,[],[f7863]) ).
fof(f7865,plain,
! [X0] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ! [X1] :
( ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| k5_relat_1(X1,X0) = k5_relat_1(X1,k7_relat_1(X0,k2_relat_1(X1))) ) ),
inference(ennf_transformation,[],[f2096]) ).
fof(f7866,plain,
! [X0] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ! [X1] :
( ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| k5_relat_1(X1,X0) = k5_relat_1(X1,k7_relat_1(X0,k2_relat_1(X1))) ) ),
inference(flattening,[],[f7865]) ).
fof(f7867,plain,
! [X0,X1,X2] :
( ~ v1_relat_1(X2)
| k10_relat_1(k7_relat_1(X2,X0),X1) = k3_xboole_0(X0,k10_relat_1(X2,X1)) ),
inference(ennf_transformation,[],[f1078]) ).
fof(f7868,plain,
! [X0,X1] :
( ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ~ v2_funct_1(X1)
| v2_funct_1(k7_relat_1(X1,X0)) ),
inference(ennf_transformation,[],[f1019]) ).
fof(f7869,plain,
! [X0,X1] :
( ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ~ v2_funct_1(X1)
| v2_funct_1(k7_relat_1(X1,X0)) ),
inference(flattening,[],[f7868]) ).
fof(f7874,plain,
! [X0,X1,X2] :
( ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| ~ r2_hidden(X1,X0)
| ~ r2_hidden(X1,k1_relat_1(X2))
| r2_hidden(k1_funct_1(X2,X1),k2_relat_1(k7_relat_1(X2,X0))) ),
inference(ennf_transformation,[],[f1008]) ).
fof(f7875,plain,
! [X0,X1,X2] :
( ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| ~ r2_hidden(X1,X0)
| ~ r2_hidden(X1,k1_relat_1(X2))
| r2_hidden(k1_funct_1(X2,X1),k2_relat_1(k7_relat_1(X2,X0))) ),
inference(flattening,[],[f7874]) ).
fof(f7876,plain,
! [X0,X1,X2] :
( ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| ~ r2_hidden(X1,X0)
| k1_funct_1(k7_relat_1(X2,X0),X1) = k1_funct_1(X2,X1) ),
inference(ennf_transformation,[],[f1007]) ).
fof(f7877,plain,
! [X0,X1,X2] :
( ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| ~ r2_hidden(X1,X0)
| k1_funct_1(k7_relat_1(X2,X0),X1) = k1_funct_1(X2,X1) ),
inference(flattening,[],[f7876]) ).
fof(f7878,plain,
! [X0,X1,X2] :
( ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| ~ r2_hidden(X1,k3_xboole_0(k1_relat_1(X2),X0))
| k1_funct_1(k7_relat_1(X2,X0),X1) = k1_funct_1(X2,X1) ),
inference(ennf_transformation,[],[f1006]) ).
fof(f7879,plain,
! [X0,X1,X2] :
( ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| ~ r2_hidden(X1,k3_xboole_0(k1_relat_1(X2),X0))
| k1_funct_1(k7_relat_1(X2,X0),X1) = k1_funct_1(X2,X1) ),
inference(flattening,[],[f7878]) ).
fof(f7880,plain,
! [X0,X1,X2] :
( ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| ~ r2_hidden(X1,k1_relat_1(k7_relat_1(X2,X0)))
| k1_funct_1(k7_relat_1(X2,X0),X1) = k1_funct_1(X2,X1) ),
inference(ennf_transformation,[],[f1005]) ).
fof(f7881,plain,
! [X0,X1,X2] :
( ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| ~ r2_hidden(X1,k1_relat_1(k7_relat_1(X2,X0)))
| k1_funct_1(k7_relat_1(X2,X0),X1) = k1_funct_1(X2,X1) ),
inference(flattening,[],[f7880]) ).
fof(f7882,plain,
! [X0,X1] :
( ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ! [X2] :
( ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| ( X1 = k7_relat_1(X2,X0)
<=> ( ! [X3] :
( ~ r2_hidden(X3,k1_relat_1(X1))
| k1_funct_1(X1,X3) = k1_funct_1(X2,X3) )
& k1_relat_1(X1) = k3_xboole_0(k1_relat_1(X2),X0) ) ) ) ),
inference(ennf_transformation,[],[f1003]) ).
fof(f7883,plain,
! [X0,X1] :
( ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ! [X2] :
( ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| ( X1 = k7_relat_1(X2,X0)
<=> ( ! [X3] :
( ~ r2_hidden(X3,k1_relat_1(X1))
| k1_funct_1(X1,X3) = k1_funct_1(X2,X3) )
& k1_relat_1(X1) = k3_xboole_0(k1_relat_1(X2),X0) ) ) ) ),
inference(flattening,[],[f7882]) ).
fof(f7884,plain,
! [X0,X1] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ( v1_funct_1(k7_relat_1(X0,X1))
& v1_relat_1(k7_relat_1(X0,X1)) ) ),
inference(ennf_transformation,[],[f922]) ).
fof(f7885,plain,
! [X0,X1] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ( v1_funct_1(k7_relat_1(X0,X1))
& v1_relat_1(k7_relat_1(X0,X1)) ) ),
inference(flattening,[],[f7884]) ).
fof(f7886,plain,
! [X0,X1] :
( ~ v1_relat_1(X0)
| v1_relat_1(k7_relat_1(X0,X1)) ),
inference(ennf_transformation,[],[f910]) ).
fof(f7887,plain,
! [X0] :
( ~ v1_relat_1(X0)
| ! [X1] :
( ~ v1_relat_1(X1)
| k7_relat_1(X0,k1_relat_1(X1)) = k7_relat_1(X0,k1_relat_1(k7_relat_1(X1,k1_relat_1(X0)))) ) ),
inference(ennf_transformation,[],[f900]) ).
fof(f7888,plain,
! [X0] :
( ~ v1_relat_1(X0)
| ! [X1] :
( ~ v1_relat_1(X1)
| ! [X2,X3] :
( k7_relat_1(X0,X3) != k7_relat_1(X1,X3)
| ~ r1_tarski(X2,X3)
| k7_relat_1(X0,X2) = k7_relat_1(X1,X2) ) ) ),
inference(ennf_transformation,[],[f899]) ).
fof(f7889,plain,
! [X0] :
( ~ v1_relat_1(X0)
| ! [X1] :
( ~ v1_relat_1(X1)
| ! [X2,X3] :
( k7_relat_1(X0,X3) != k7_relat_1(X1,X3)
| ~ r1_tarski(X2,X3)
| k7_relat_1(X0,X2) = k7_relat_1(X1,X2) ) ) ),
inference(flattening,[],[f7888]) ).
fof(f7890,plain,
! [X0] :
( ~ v1_relat_1(X0)
| ! [X1] :
( ~ r1_xboole_0(X1,k1_relat_1(X0))
| k7_relat_1(X0,X1) = k1_xboole_0 ) ),
inference(ennf_transformation,[],[f898]) ).
fof(f7891,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| ! [X2] :
( ~ v1_relat_1(X2)
| ~ r1_tarski(X2,X1)
| ~ r1_tarski(k1_relat_1(X2),X0)
| r1_tarski(X2,k7_relat_1(X1,X0)) ) ),
inference(ennf_transformation,[],[f897]) ).
fof(f7892,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| ! [X2] :
( ~ v1_relat_1(X2)
| ~ r1_tarski(X2,X1)
| ~ r1_tarski(k1_relat_1(X2),X0)
| r1_tarski(X2,k7_relat_1(X1,X0)) ) ),
inference(flattening,[],[f7891]) ).
fof(f7893,plain,
! [X0] :
( ~ v1_relat_1(X0)
| ! [X1] :
( ~ v1_relat_1(X1)
| ! [X2,X3] :
( k7_relat_1(X0,X3) != k7_relat_1(X1,X3)
| k7_relat_1(X0,X2) != k7_relat_1(X1,X2)
| k7_relat_1(X0,k2_xboole_0(X2,X3)) = k7_relat_1(X1,k2_xboole_0(X2,X3)) ) ) ),
inference(ennf_transformation,[],[f896]) ).
fof(f7894,plain,
! [X0] :
( ~ v1_relat_1(X0)
| ! [X1] :
( ~ v1_relat_1(X1)
| ! [X2,X3] :
( k7_relat_1(X0,X3) != k7_relat_1(X1,X3)
| k7_relat_1(X0,X2) != k7_relat_1(X1,X2)
| k7_relat_1(X0,k2_xboole_0(X2,X3)) = k7_relat_1(X1,k2_xboole_0(X2,X3)) ) ) ),
inference(flattening,[],[f7893]) ).
fof(f7895,plain,
! [X0,X1,X2] :
( ~ v1_relat_1(X2)
| r1_tarski(k9_relat_1(k7_relat_1(X2,X0),X1),k9_relat_1(X2,X1)) ),
inference(ennf_transformation,[],[f870]) ).
fof(f7896,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| k2_relat_1(k7_relat_1(X1,X0)) = k9_relat_1(X1,X0) ),
inference(ennf_transformation,[],[f857]) ).
fof(f7897,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| ! [X2] :
( ~ v1_relat_1(X2)
| k7_relat_1(k5_relat_1(X1,X2),X0) = k5_relat_1(k7_relat_1(X1,X0),X2) ) ),
inference(ennf_transformation,[],[f819]) ).
fof(f7898,plain,
! [X0] :
( ~ v1_relat_1(X0)
| k7_relat_1(X0,k1_xboole_0) = k1_xboole_0 ),
inference(ennf_transformation,[],[f817]) ).
fof(f7899,plain,
! [X0,X1,X2] :
( ~ v1_relat_1(X2)
| k7_relat_1(X2,k4_xboole_0(X0,X1)) = k4_xboole_0(k7_relat_1(X2,X0),k7_relat_1(X2,X1)) ),
inference(ennf_transformation,[],[f816]) ).
fof(f7900,plain,
! [X0,X1,X2] :
( ~ v1_relat_1(X2)
| k7_relat_1(X2,k3_xboole_0(X0,X1)) = k3_xboole_0(k7_relat_1(X2,X0),k7_relat_1(X2,X1)) ),
inference(ennf_transformation,[],[f815]) ).
fof(f7901,plain,
! [X0,X1,X2] :
( ~ v1_relat_1(X2)
| k7_relat_1(X2,k2_xboole_0(X0,X1)) = k2_xboole_0(k7_relat_1(X2,X0),k7_relat_1(X2,X1)) ),
inference(ennf_transformation,[],[f814]) ).
fof(f7902,plain,
! [X0,X1,X2] :
( ~ v1_relat_1(X2)
| ! [X3] :
( ~ v1_relat_1(X3)
| ~ r1_tarski(X0,X1)
| ~ r1_tarski(X2,X3)
| r1_tarski(k7_relat_1(X2,X0),k7_relat_1(X3,X1)) ) ),
inference(ennf_transformation,[],[f813]) ).
fof(f7903,plain,
! [X0,X1,X2] :
( ~ v1_relat_1(X2)
| ! [X3] :
( ~ v1_relat_1(X3)
| ~ r1_tarski(X0,X1)
| ~ r1_tarski(X2,X3)
| r1_tarski(k7_relat_1(X2,X0),k7_relat_1(X3,X1)) ) ),
inference(flattening,[],[f7902]) ).
fof(f7904,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| ! [X2] :
( ~ v1_relat_1(X2)
| ~ r1_tarski(X1,X2)
| r1_tarski(k7_relat_1(X1,X0),k7_relat_1(X2,X0)) ) ),
inference(ennf_transformation,[],[f812]) ).
fof(f7905,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| ! [X2] :
( ~ v1_relat_1(X2)
| ~ r1_tarski(X1,X2)
| r1_tarski(k7_relat_1(X1,X0),k7_relat_1(X2,X0)) ) ),
inference(flattening,[],[f7904]) ).
fof(f7906,plain,
! [X0,X1,X2] :
( ~ v1_relat_1(X2)
| ~ r1_tarski(X0,X1)
| r1_tarski(k7_relat_1(X2,X0),k7_relat_1(X2,X1)) ),
inference(ennf_transformation,[],[f811]) ).
fof(f7907,plain,
! [X0,X1,X2] :
( ~ v1_relat_1(X2)
| ~ r1_tarski(X0,X1)
| r1_tarski(k7_relat_1(X2,X0),k7_relat_1(X2,X1)) ),
inference(flattening,[],[f7906]) ).
fof(f7908,plain,
! [X0,X1,X2] :
( ~ v1_relat_1(X2)
| ~ r1_tarski(X0,X1)
| k7_relat_1(k7_relat_1(X2,X1),X0) = k7_relat_1(X2,X0) ),
inference(ennf_transformation,[],[f810]) ).
fof(f7909,plain,
! [X0,X1,X2] :
( ~ v1_relat_1(X2)
| ~ r1_tarski(X0,X1)
| k7_relat_1(k7_relat_1(X2,X1),X0) = k7_relat_1(X2,X0) ),
inference(flattening,[],[f7908]) ).
fof(f7910,plain,
! [X0,X1,X2] :
( ~ v1_relat_1(X2)
| ~ r1_tarski(X0,X1)
| k7_relat_1(k7_relat_1(X2,X0),X1) = k7_relat_1(X2,X0) ),
inference(ennf_transformation,[],[f809]) ).
fof(f7911,plain,
! [X0,X1,X2] :
( ~ v1_relat_1(X2)
| ~ r1_tarski(X0,X1)
| k7_relat_1(k7_relat_1(X2,X0),X1) = k7_relat_1(X2,X0) ),
inference(flattening,[],[f7910]) ).
fof(f7912,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| k7_relat_1(k7_relat_1(X1,X0),X0) = k7_relat_1(X1,X0) ),
inference(ennf_transformation,[],[f808]) ).
fof(f7913,plain,
! [X0,X1,X2] :
( ~ v1_relat_1(X2)
| k7_relat_1(k7_relat_1(X2,X0),X1) = k7_relat_1(X2,k3_xboole_0(X0,X1)) ),
inference(ennf_transformation,[],[f807]) ).
fof(f7914,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| r1_tarski(k2_relat_1(k7_relat_1(X1,X0)),k2_relat_1(X1)) ),
inference(ennf_transformation,[],[f806]) ).
fof(f7915,plain,
! [X0] :
( ~ v1_relat_1(X0)
| k7_relat_1(X0,k1_relat_1(X0)) = X0 ),
inference(ennf_transformation,[],[f805]) ).
fof(f7916,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| ~ r1_tarski(k1_relat_1(X1),X0)
| k7_relat_1(X1,X0) = X1 ),
inference(ennf_transformation,[],[f804]) ).
fof(f7917,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| ~ r1_tarski(k1_relat_1(X1),X0)
| k7_relat_1(X1,X0) = X1 ),
inference(flattening,[],[f7916]) ).
fof(f7918,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| k7_relat_1(X1,X0) = k3_xboole_0(X1,k2_zfmisc_1(X0,k2_relat_1(X1))) ),
inference(ennf_transformation,[],[f803]) ).
fof(f7919,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| ( k7_relat_1(X1,X0) = k1_xboole_0
<=> r1_xboole_0(k1_relat_1(X1),X0) ) ),
inference(ennf_transformation,[],[f802]) ).
fof(f7920,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| ! [X2] :
( ~ v1_relat_1(X2)
| r1_tarski(k5_relat_1(X1,k7_relat_1(X2,X0)),k5_relat_1(X1,X2)) ) ),
inference(ennf_transformation,[],[f800]) ).
fof(f7921,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| ! [X2] :
( ~ v1_relat_1(X2)
| r1_tarski(k5_relat_1(k7_relat_1(X1,X0),X2),k5_relat_1(X1,X2)) ) ),
inference(ennf_transformation,[],[f799]) ).
fof(f7922,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| ~ r1_tarski(X0,k1_relat_1(X1))
| k1_relat_1(k7_relat_1(X1,X0)) = X0 ),
inference(ennf_transformation,[],[f798]) ).
fof(f7923,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| ~ r1_tarski(X0,k1_relat_1(X1))
| k1_relat_1(k7_relat_1(X1,X0)) = X0 ),
inference(flattening,[],[f7922]) ).
fof(f7924,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| k1_relat_1(k7_relat_1(X1,X0)) = k3_xboole_0(k1_relat_1(X1),X0) ),
inference(ennf_transformation,[],[f797]) ).
fof(f7925,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| r1_tarski(k1_relat_1(k7_relat_1(X1,X0)),k1_relat_1(X1)) ),
inference(ennf_transformation,[],[f796]) ).
fof(f7926,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| r1_tarski(k7_relat_1(X1,X0),X1) ),
inference(ennf_transformation,[],[f795]) ).
fof(f7927,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| r1_tarski(k1_relat_1(k7_relat_1(X1,X0)),X0) ),
inference(ennf_transformation,[],[f794]) ).
fof(f7928,plain,
! [X0,X1,X2] :
( ~ v1_relat_1(X2)
| ( r2_hidden(X0,k1_relat_1(k7_relat_1(X2,X1)))
<=> ( r2_hidden(X0,k1_relat_1(X2))
& r2_hidden(X0,X1) ) ) ),
inference(ennf_transformation,[],[f793]) ).
fof(f7929,plain,
! [X0] :
( ~ v1_relat_1(X0)
| ! [X1,X2] :
( ~ v1_relat_1(X2)
| ( X2 = k7_relat_1(X0,X1)
<=> ! [X3,X4] :
( r2_hidden(k4_tarski(X3,X4),X2)
<=> ( r2_hidden(k4_tarski(X3,X4),X0)
& r2_hidden(X3,X1) ) ) ) ) ),
inference(ennf_transformation,[],[f789]) ).
fof(f7930,plain,
! [X0] :
( ~ m1_relset_1(X0,k2_zfmisc_1(k1_xboole_0,k1_xboole_0),k1_xboole_0)
| ~ v1_funct_2(X0,k2_zfmisc_1(k1_xboole_0,k1_xboole_0),k1_xboole_0)
| ~ v1_funct_1(X0)
| ( v2_binop_1(X0,k1_xboole_0)
& v1_binop_1(X0,k1_xboole_0)
& v1_funct_2(X0,k2_zfmisc_1(k1_xboole_0,k1_xboole_0),k1_xboole_0)
& v1_xboole_0(X0)
& v1_funct_1(X0) ) ),
inference(ennf_transformation,[],[f2039]) ).
fof(f7931,plain,
! [X0] :
( ~ m1_relset_1(X0,k2_zfmisc_1(k1_xboole_0,k1_xboole_0),k1_xboole_0)
| ~ v1_funct_2(X0,k2_zfmisc_1(k1_xboole_0,k1_xboole_0),k1_xboole_0)
| ~ v1_funct_1(X0)
| ( v2_binop_1(X0,k1_xboole_0)
& v1_binop_1(X0,k1_xboole_0)
& v1_funct_2(X0,k2_zfmisc_1(k1_xboole_0,k1_xboole_0),k1_xboole_0)
& v1_xboole_0(X0)
& v1_funct_1(X0) ) ),
inference(flattening,[],[f7930]) ).
fof(f7932,plain,
! [X0] :
( v1_xboole_0(X0)
| ! [X1] :
( v1_xboole_0(X1)
| ! [X2] :
( ~ m2_relset_1(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X2)
| ~ v3_binop_1(X2,X1)
| ~ v2_binop_1(X2,X1)
| ~ v1_binop_1(X2,X1)
| ! [X3] :
( v1_xboole_0(X3)
| ! [X4] :
( ~ m2_relset_1(X4,k2_zfmisc_1(X3,X3),X3)
| ~ v1_funct_2(X4,k2_zfmisc_1(X3,X3),X3)
| ~ v1_funct_1(X4)
| ~ v3_binop_1(X4,X3)
| ~ v2_binop_1(X4,X3)
| ~ v1_binop_1(X4,X3)
| ! [X5] :
( ~ m2_relset_1(X5,X0,X1)
| ~ v1_funct_2(X5,X0,X1)
| ~ v1_funct_1(X5)
| ! [X6] :
( ~ m2_relset_1(X6,X1,X3)
| ~ v1_funct_2(X6,X1,X3)
| ~ v1_funct_1(X6)
| ? [X7] :
( m1_subset_1(X7,X1)
& ? [X8] :
( m1_subset_1(X8,X1)
& k8_funct_2(X1,X3,X6,k2_binop_1(X1,X1,X1,X2,X7,X8)) != k2_binop_1(X3,X3,X3,X4,k8_funct_2(X1,X3,X6,X7),k8_funct_2(X1,X3,X6,X8)) ) )
| ! [X9] :
( ~ m1_subset_1(X9,k5_finsub_1(X0))
| k1_xboole_0 = X9
| k8_funct_2(X1,X3,X6,k7_setwiseo(X0,X1,X2,X9,X5)) = k7_setwiseo(X0,X3,X4,X9,k7_funct_2(X0,X1,X3,X5,X6)) ) ) ) ) ) ) ) ),
inference(ennf_transformation,[],[f6485]) ).
fof(f7933,plain,
! [X0] :
( v1_xboole_0(X0)
| ! [X1] :
( v1_xboole_0(X1)
| ! [X2] :
( ~ m2_relset_1(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X2)
| ~ v3_binop_1(X2,X1)
| ~ v2_binop_1(X2,X1)
| ~ v1_binop_1(X2,X1)
| ! [X3] :
( v1_xboole_0(X3)
| ! [X4] :
( ~ m2_relset_1(X4,k2_zfmisc_1(X3,X3),X3)
| ~ v1_funct_2(X4,k2_zfmisc_1(X3,X3),X3)
| ~ v1_funct_1(X4)
| ~ v3_binop_1(X4,X3)
| ~ v2_binop_1(X4,X3)
| ~ v1_binop_1(X4,X3)
| ! [X5] :
( ~ m2_relset_1(X5,X0,X1)
| ~ v1_funct_2(X5,X0,X1)
| ~ v1_funct_1(X5)
| ! [X6] :
( ~ m2_relset_1(X6,X1,X3)
| ~ v1_funct_2(X6,X1,X3)
| ~ v1_funct_1(X6)
| ? [X7] :
( m1_subset_1(X7,X1)
& ? [X8] :
( m1_subset_1(X8,X1)
& k8_funct_2(X1,X3,X6,k2_binop_1(X1,X1,X1,X2,X7,X8)) != k2_binop_1(X3,X3,X3,X4,k8_funct_2(X1,X3,X6,X7),k8_funct_2(X1,X3,X6,X8)) ) )
| ! [X9] :
( ~ m1_subset_1(X9,k5_finsub_1(X0))
| k1_xboole_0 = X9
| k8_funct_2(X1,X3,X6,k7_setwiseo(X0,X1,X2,X9,X5)) = k7_setwiseo(X0,X3,X4,X9,k7_funct_2(X0,X1,X3,X5,X6)) ) ) ) ) ) ) ) ),
inference(flattening,[],[f7932]) ).
fof(f7934,plain,
! [X0] :
( v1_xboole_0(X0)
| ! [X1] :
( v1_xboole_0(X1)
| ! [X2] :
( ~ m2_relset_1(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X2)
| ~ v3_binop_1(X2,X1)
| ~ v2_binop_1(X2,X1)
| ~ v1_binop_1(X2,X1)
| ! [X3] :
( ~ m2_relset_1(X3,X0,X1)
| ~ v1_funct_2(X3,X0,X1)
| ~ v1_funct_1(X3)
| ! [X4] :
( ~ m2_relset_1(X4,X0,X1)
| ~ v1_funct_2(X4,X0,X1)
| ~ v1_funct_1(X4)
| ! [X5] :
( ~ m1_subset_1(X5,k5_finsub_1(X0))
| ! [X6] :
( ~ m1_subset_1(X6,k5_finsub_1(X0))
| k2_funct_2(X0,X1,X3,X5) != k2_funct_2(X0,X1,X4,X6)
| k7_setwiseo(X0,X1,X2,X5,X3) = k7_setwiseo(X0,X1,X2,X6,X4)
| X5 = k1_xboole_0 ) ) ) ) ) ) ),
inference(ennf_transformation,[],[f2469]) ).
fof(f7935,plain,
! [X0] :
( v1_xboole_0(X0)
| ! [X1] :
( v1_xboole_0(X1)
| ! [X2] :
( ~ m2_relset_1(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X2)
| ~ v3_binop_1(X2,X1)
| ~ v2_binop_1(X2,X1)
| ~ v1_binop_1(X2,X1)
| ! [X3] :
( ~ m2_relset_1(X3,X0,X1)
| ~ v1_funct_2(X3,X0,X1)
| ~ v1_funct_1(X3)
| ! [X4] :
( ~ m2_relset_1(X4,X0,X1)
| ~ v1_funct_2(X4,X0,X1)
| ~ v1_funct_1(X4)
| ! [X5] :
( ~ m1_subset_1(X5,k5_finsub_1(X0))
| ! [X6] :
( ~ m1_subset_1(X6,k5_finsub_1(X0))
| k2_funct_2(X0,X1,X3,X5) != k2_funct_2(X0,X1,X4,X6)
| k7_setwiseo(X0,X1,X2,X5,X3) = k7_setwiseo(X0,X1,X2,X6,X4)
| X5 = k1_xboole_0 ) ) ) ) ) ) ),
inference(flattening,[],[f7934]) ).
fof(f7936,plain,
! [X0] :
( v1_xboole_0(X0)
| ! [X1] :
( v1_xboole_0(X1)
| ! [X2] :
( ~ m2_relset_1(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X2)
| ! [X3] :
( ~ m1_subset_1(X3,k5_finsub_1(X0))
| ! [X4] :
( ~ m2_relset_1(X4,X0,X1)
| ~ v1_funct_2(X4,X0,X1)
| ~ v1_funct_1(X4)
| ~ v3_binop_1(X2,X1)
| ~ v2_binop_1(X2,X1)
| ~ v1_binop_1(X2,X1)
| ! [X5] :
( ~ m1_subset_1(X5,X1)
| k2_setwiseo(X1,X5) != k2_funct_2(X0,X1,X4,X3)
| k7_setwiseo(X0,X1,X2,X3,X4) = X5 ) ) ) ) ) ),
inference(ennf_transformation,[],[f2468]) ).
fof(f7937,plain,
! [X0] :
( v1_xboole_0(X0)
| ! [X1] :
( v1_xboole_0(X1)
| ! [X2] :
( ~ m2_relset_1(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X2)
| ! [X3] :
( ~ m1_subset_1(X3,k5_finsub_1(X0))
| ! [X4] :
( ~ m2_relset_1(X4,X0,X1)
| ~ v1_funct_2(X4,X0,X1)
| ~ v1_funct_1(X4)
| ~ v3_binop_1(X2,X1)
| ~ v2_binop_1(X2,X1)
| ~ v1_binop_1(X2,X1)
| ! [X5] :
( ~ m1_subset_1(X5,X1)
| k2_setwiseo(X1,X5) != k2_funct_2(X0,X1,X4,X3)
| k7_setwiseo(X0,X1,X2,X3,X4) = X5 ) ) ) ) ) ),
inference(flattening,[],[f7936]) ).
fof(f7938,plain,
! [X0] :
( v1_xboole_0(X0)
| ! [X1] :
( v1_xboole_0(X1)
| ! [X2] :
( ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ! [X3] :
( ~ m1_subset_1(X3,k5_finsub_1(X1))
| ! [X4] :
( ~ m2_relset_1(X4,X1,X0)
| ~ v1_funct_2(X4,X1,X0)
| ~ v1_funct_1(X4)
| ~ v3_binop_1(X2,X0)
| ~ v2_binop_1(X2,X0)
| ~ v1_binop_1(X2,X0)
| ! [X5] :
( ~ m1_subset_1(X5,X0)
| ? [X6] :
( m1_subset_1(X6,X1)
& r2_hidden(X6,X3)
& k8_funct_2(X1,X0,X4,X6) != X5 )
| k7_setwiseo(X1,X0,X2,X3,X4) = X5 )
| X3 = k1_xboole_0 ) ) ) ) ),
inference(ennf_transformation,[],[f2467]) ).
fof(f7939,plain,
! [X0] :
( v1_xboole_0(X0)
| ! [X1] :
( v1_xboole_0(X1)
| ! [X2] :
( ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ! [X3] :
( ~ m1_subset_1(X3,k5_finsub_1(X1))
| ! [X4] :
( ~ m2_relset_1(X4,X1,X0)
| ~ v1_funct_2(X4,X1,X0)
| ~ v1_funct_1(X4)
| ~ v3_binop_1(X2,X0)
| ~ v2_binop_1(X2,X0)
| ~ v1_binop_1(X2,X0)
| ! [X5] :
( ~ m1_subset_1(X5,X0)
| ? [X6] :
( m1_subset_1(X6,X1)
& r2_hidden(X6,X3)
& k8_funct_2(X1,X0,X4,X6) != X5 )
| k7_setwiseo(X1,X0,X2,X3,X4) = X5 )
| X3 = k1_xboole_0 ) ) ) ) ),
inference(flattening,[],[f7938]) ).
fof(f7940,plain,
! [X0] :
( v1_xboole_0(X0)
| ! [X1] :
( v1_xboole_0(X1)
| ! [X2] :
( ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ! [X3] :
( ~ m2_relset_1(X3,X1,X0)
| ~ v1_funct_2(X3,X1,X0)
| ~ v1_funct_1(X3)
| ~ v3_binop_1(X2,X0)
| ~ v2_binop_1(X2,X0)
| ~ v1_binop_1(X2,X0)
| ! [X4] :
( ~ m1_subset_1(X4,k5_finsub_1(X1))
| ! [X5] :
( ~ m1_subset_1(X5,k5_finsub_1(X1))
| ~ r1_tarski(X4,X5)
| k2_binop_1(X0,X0,X0,X2,k7_setwiseo(X1,X0,X2,X4,X3),k7_setwiseo(X1,X0,X2,X5,X3)) = k7_setwiseo(X1,X0,X2,X5,X3)
| X4 = k1_xboole_0 ) ) ) ) ) ),
inference(ennf_transformation,[],[f2466]) ).
fof(f7941,plain,
! [X0] :
( v1_xboole_0(X0)
| ! [X1] :
( v1_xboole_0(X1)
| ! [X2] :
( ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ! [X3] :
( ~ m2_relset_1(X3,X1,X0)
| ~ v1_funct_2(X3,X1,X0)
| ~ v1_funct_1(X3)
| ~ v3_binop_1(X2,X0)
| ~ v2_binop_1(X2,X0)
| ~ v1_binop_1(X2,X0)
| ! [X4] :
( ~ m1_subset_1(X4,k5_finsub_1(X1))
| ! [X5] :
( ~ m1_subset_1(X5,k5_finsub_1(X1))
| ~ r1_tarski(X4,X5)
| k2_binop_1(X0,X0,X0,X2,k7_setwiseo(X1,X0,X2,X4,X3),k7_setwiseo(X1,X0,X2,X5,X3)) = k7_setwiseo(X1,X0,X2,X5,X3)
| X4 = k1_xboole_0 ) ) ) ) ) ),
inference(flattening,[],[f7940]) ).
fof(f7942,plain,
! [X0] :
( v1_xboole_0(X0)
| ! [X1] :
( v1_xboole_0(X1)
| ! [X2] :
( ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ! [X3] :
( ~ m1_subset_1(X3,k5_finsub_1(X1))
| ! [X4] :
( ~ m2_relset_1(X4,X1,X0)
| ~ v1_funct_2(X4,X1,X0)
| ~ v1_funct_1(X4)
| ~ v3_binop_1(X2,X0)
| ~ v2_binop_1(X2,X0)
| ~ v1_binop_1(X2,X0)
| ! [X5] :
( ~ m1_subset_1(X5,X1)
| ~ r2_hidden(X5,X3)
| k2_binop_1(X0,X0,X0,X2,k8_funct_2(X1,X0,X4,X5),k7_setwiseo(X1,X0,X2,X3,X4)) = k7_setwiseo(X1,X0,X2,X3,X4) ) ) ) ) ) ),
inference(ennf_transformation,[],[f2465]) ).
fof(f7943,plain,
! [X0] :
( v1_xboole_0(X0)
| ! [X1] :
( v1_xboole_0(X1)
| ! [X2] :
( ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ! [X3] :
( ~ m1_subset_1(X3,k5_finsub_1(X1))
| ! [X4] :
( ~ m2_relset_1(X4,X1,X0)
| ~ v1_funct_2(X4,X1,X0)
| ~ v1_funct_1(X4)
| ~ v3_binop_1(X2,X0)
| ~ v2_binop_1(X2,X0)
| ~ v1_binop_1(X2,X0)
| ! [X5] :
( ~ m1_subset_1(X5,X1)
| ~ r2_hidden(X5,X3)
| k2_binop_1(X0,X0,X0,X2,k8_funct_2(X1,X0,X4,X5),k7_setwiseo(X1,X0,X2,X3,X4)) = k7_setwiseo(X1,X0,X2,X3,X4) ) ) ) ) ) ),
inference(flattening,[],[f7942]) ).
fof(f7944,plain,
! [X0] :
( v1_xboole_0(X0)
| ! [X1] :
( v1_xboole_0(X1)
| ! [X2] :
( ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ! [X3] :
( ~ m2_relset_1(X3,X1,X0)
| ~ v1_funct_2(X3,X1,X0)
| ~ v1_funct_1(X3)
| ~ v2_binop_1(X2,X0)
| ~ v1_binop_1(X2,X0)
| ~ v3_binop_1(X2,X0)
| ! [X4] :
( ~ m1_subset_1(X4,k5_finsub_1(X1))
| ! [X5] :
( ~ m1_subset_1(X5,k5_finsub_1(X1))
| k7_setwiseo(X1,X0,X2,k5_setwiseo(X1,X4,X5),X3) = k2_binop_1(X0,X0,X0,X2,k7_setwiseo(X1,X0,X2,X4,X3),k7_setwiseo(X1,X0,X2,X5,X3))
| k1_xboole_0 = X5
| k1_xboole_0 = X4 ) ) ) ) ) ),
inference(ennf_transformation,[],[f2464]) ).
fof(f7945,plain,
! [X0] :
( v1_xboole_0(X0)
| ! [X1] :
( v1_xboole_0(X1)
| ! [X2] :
( ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ! [X3] :
( ~ m2_relset_1(X3,X1,X0)
| ~ v1_funct_2(X3,X1,X0)
| ~ v1_funct_1(X3)
| ~ v2_binop_1(X2,X0)
| ~ v1_binop_1(X2,X0)
| ~ v3_binop_1(X2,X0)
| ! [X4] :
( ~ m1_subset_1(X4,k5_finsub_1(X1))
| ! [X5] :
( ~ m1_subset_1(X5,k5_finsub_1(X1))
| k7_setwiseo(X1,X0,X2,k5_setwiseo(X1,X4,X5),X3) = k2_binop_1(X0,X0,X0,X2,k7_setwiseo(X1,X0,X2,X4,X3),k7_setwiseo(X1,X0,X2,X5,X3))
| k1_xboole_0 = X5
| k1_xboole_0 = X4 ) ) ) ) ) ),
inference(flattening,[],[f7944]) ).
fof(f7946,plain,
! [X0] :
( v1_xboole_0(X0)
| ! [X1] :
( v1_xboole_0(X1)
| ! [X2] :
( ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ! [X3] :
( ~ m1_subset_1(X3,k5_finsub_1(X1))
| ! [X4] :
( ~ m2_relset_1(X4,X1,X0)
| ~ v1_funct_2(X4,X1,X0)
| ~ v1_funct_1(X4)
| ~ v2_binop_1(X2,X0)
| ~ v1_binop_1(X2,X0)
| ~ v3_binop_1(X2,X0)
| ! [X5] :
( ~ m1_subset_1(X5,X1)
| k7_setwiseo(X1,X0,X2,k5_setwiseo(X1,X3,k2_setwiseo(X1,X5)),X4) = k2_binop_1(X0,X0,X0,X2,k7_setwiseo(X1,X0,X2,X3,X4),k8_funct_2(X1,X0,X4,X5)) )
| X3 = k1_xboole_0 ) ) ) ) ),
inference(ennf_transformation,[],[f2463]) ).
fof(f7947,plain,
! [X0] :
( v1_xboole_0(X0)
| ! [X1] :
( v1_xboole_0(X1)
| ! [X2] :
( ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ! [X3] :
( ~ m1_subset_1(X3,k5_finsub_1(X1))
| ! [X4] :
( ~ m2_relset_1(X4,X1,X0)
| ~ v1_funct_2(X4,X1,X0)
| ~ v1_funct_1(X4)
| ~ v2_binop_1(X2,X0)
| ~ v1_binop_1(X2,X0)
| ~ v3_binop_1(X2,X0)
| ! [X5] :
( ~ m1_subset_1(X5,X1)
| k7_setwiseo(X1,X0,X2,k5_setwiseo(X1,X3,k2_setwiseo(X1,X5)),X4) = k2_binop_1(X0,X0,X0,X2,k7_setwiseo(X1,X0,X2,X3,X4),k8_funct_2(X1,X0,X4,X5)) )
| X3 = k1_xboole_0 ) ) ) ) ),
inference(flattening,[],[f7946]) ).
fof(f7948,plain,
! [X0] :
( v1_xboole_0(X0)
| ! [X1] :
( ~ m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| ( v3_binop_1(X1,X0)
<=> ! [X2] :
( ~ m1_subset_1(X2,X0)
| k2_binop_1(X0,X0,X0,X1,X2,X2) = X2 ) ) ) ),
inference(ennf_transformation,[],[f2082]) ).
fof(f7949,plain,
! [X0] :
( v1_xboole_0(X0)
| ! [X1] :
( ~ m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| ( v3_binop_1(X1,X0)
<=> ! [X2] :
( ~ m1_subset_1(X2,X0)
| k2_binop_1(X0,X0,X0,X1,X2,X2) = X2 ) ) ) ),
inference(flattening,[],[f7948]) ).
fof(f7950,plain,
! [X0,X1] :
( ~ m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| ( v3_binop_1(X1,X0)
<=> ! [X2] :
( ~ m1_subset_1(X2,X0)
| k1_binop_1(X1,X2,X2) = X2 ) ) ),
inference(ennf_transformation,[],[f2045]) ).
fof(f7951,plain,
! [X0,X1] :
( ~ m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| ( v3_binop_1(X1,X0)
<=> ! [X2] :
( ~ m1_subset_1(X2,X0)
| k1_binop_1(X1,X2,X2) = X2 ) ) ),
inference(flattening,[],[f7950]) ).
fof(f7952,plain,
! [X0,X1,X2,X3] :
( ~ m1_relset_1(X3,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X3)
| ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| k7_filter_1(X0,X1,X2,X3) = k3_funct_4(X2,X3) ),
inference(ennf_transformation,[],[f5811]) ).
fof(f7953,plain,
! [X0,X1,X2,X3] :
( ~ m1_relset_1(X3,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X3)
| ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| k7_filter_1(X0,X1,X2,X3) = k3_funct_4(X2,X3) ),
inference(flattening,[],[f7952]) ).
fof(f7954,plain,
! [X0,X1,X2,X3] :
( ~ m1_relset_1(X3,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X3)
| ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ( m2_relset_1(k7_filter_1(X0,X1,X2,X3),k2_zfmisc_1(k2_zfmisc_1(X0,X1),k2_zfmisc_1(X0,X1)),k2_zfmisc_1(X0,X1))
& v1_funct_2(k7_filter_1(X0,X1,X2,X3),k2_zfmisc_1(k2_zfmisc_1(X0,X1),k2_zfmisc_1(X0,X1)),k2_zfmisc_1(X0,X1))
& v1_funct_1(k7_filter_1(X0,X1,X2,X3)) ) ),
inference(ennf_transformation,[],[f5810]) ).
fof(f7955,plain,
! [X0,X1,X2,X3] :
( ~ m1_relset_1(X3,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X3)
| ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ( m2_relset_1(k7_filter_1(X0,X1,X2,X3),k2_zfmisc_1(k2_zfmisc_1(X0,X1),k2_zfmisc_1(X0,X1)),k2_zfmisc_1(X0,X1))
& v1_funct_2(k7_filter_1(X0,X1,X2,X3),k2_zfmisc_1(k2_zfmisc_1(X0,X1),k2_zfmisc_1(X0,X1)),k2_zfmisc_1(X0,X1))
& v1_funct_1(k7_filter_1(X0,X1,X2,X3)) ) ),
inference(flattening,[],[f7954]) ).
fof(f7956,plain,
! [X0] :
( v1_xboole_0(X0)
| ! [X1] :
( v1_xboole_0(X1)
| ! [X2] :
( ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ! [X3] :
( ~ m2_relset_1(X3,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X3,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X3)
| ! [X4] :
( ~ m2_relset_1(X4,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X4,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X4)
| ! [X5] :
( ~ m2_relset_1(X5,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X5,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X5)
| ( ( r6_binop_1(X1,X4,X5)
& r6_binop_1(X0,X2,X3) )
<=> r6_binop_1(k2_zfmisc_1(X0,X1),k7_filter_1(X0,X1,X2,X4),k7_filter_1(X0,X1,X3,X5)) ) ) ) ) ) ) ),
inference(ennf_transformation,[],[f5753]) ).
fof(f7957,plain,
! [X0] :
( v1_xboole_0(X0)
| ! [X1] :
( v1_xboole_0(X1)
| ! [X2] :
( ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ! [X3] :
( ~ m2_relset_1(X3,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X3,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X3)
| ! [X4] :
( ~ m2_relset_1(X4,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X4,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X4)
| ! [X5] :
( ~ m2_relset_1(X5,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X5,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X5)
| ( ( r6_binop_1(X1,X4,X5)
& r6_binop_1(X0,X2,X3) )
<=> r6_binop_1(k2_zfmisc_1(X0,X1),k7_filter_1(X0,X1,X2,X4),k7_filter_1(X0,X1,X3,X5)) ) ) ) ) ) ) ),
inference(flattening,[],[f7956]) ).
fof(f7958,plain,
! [X0] :
( v1_xboole_0(X0)
| ! [X1] :
( v1_xboole_0(X1)
| ! [X2] :
( ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ! [X3] :
( ~ m2_relset_1(X3,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X3)
| ( ( v2_binop_1(X3,X1)
& v2_binop_1(X2,X0) )
<=> v2_binop_1(k7_filter_1(X0,X1,X2,X3),k2_zfmisc_1(X0,X1)) ) ) ) ) ),
inference(ennf_transformation,[],[f5747]) ).
fof(f7959,plain,
! [X0] :
( v1_xboole_0(X0)
| ! [X1] :
( v1_xboole_0(X1)
| ! [X2] :
( ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ! [X3] :
( ~ m2_relset_1(X3,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X3)
| ( ( v2_binop_1(X3,X1)
& v2_binop_1(X2,X0) )
<=> v2_binop_1(k7_filter_1(X0,X1,X2,X3),k2_zfmisc_1(X0,X1)) ) ) ) ) ),
inference(flattening,[],[f7958]) ).
fof(f7960,plain,
! [X0] :
( v1_xboole_0(X0)
| ! [X1] :
( v1_xboole_0(X1)
| ! [X2] :
( ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ! [X3] :
( ~ m2_relset_1(X3,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X3)
| ( ( v1_binop_1(X3,X1)
& v1_binop_1(X2,X0) )
<=> v1_binop_1(k7_filter_1(X0,X1,X2,X3),k2_zfmisc_1(X0,X1)) ) ) ) ) ),
inference(ennf_transformation,[],[f5746]) ).
fof(f7961,plain,
! [X0] :
( v1_xboole_0(X0)
| ! [X1] :
( v1_xboole_0(X1)
| ! [X2] :
( ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ! [X3] :
( ~ m2_relset_1(X3,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X3)
| ( ( v1_binop_1(X3,X1)
& v1_binop_1(X2,X0) )
<=> v1_binop_1(k7_filter_1(X0,X1,X2,X3),k2_zfmisc_1(X0,X1)) ) ) ) ) ),
inference(flattening,[],[f7960]) ).
fof(f7962,plain,
! [X0] :
( v1_xboole_0(X0)
| ! [X1] :
( v1_xboole_0(X1)
| ! [X2] :
( ~ m1_subset_1(X2,X0)
| ! [X3] :
( ~ m1_subset_1(X3,X0)
| ! [X4] :
( ~ m1_subset_1(X4,X1)
| ! [X5] :
( ~ m1_subset_1(X5,X1)
| ! [X6] :
( ~ m2_relset_1(X6,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X6,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X6)
| ! [X7] :
( ~ m2_relset_1(X7,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X7,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X7)
| k2_binop_1(k2_zfmisc_1(X0,X1),k2_zfmisc_1(X0,X1),k2_zfmisc_1(X0,X1),k7_filter_1(X0,X1,X6,X7),k1_domain_1(X0,X1,X2,X4),k1_domain_1(X0,X1,X3,X5)) = k1_domain_1(X0,X1,k2_binop_1(X0,X0,X0,X6,X2,X3),k2_binop_1(X1,X1,X1,X7,X4,X5)) ) ) ) ) ) ) ) ),
inference(ennf_transformation,[],[f5745]) ).
fof(f7963,plain,
! [X0] :
( v1_xboole_0(X0)
| ! [X1] :
( v1_xboole_0(X1)
| ! [X2] :
( ~ m1_subset_1(X2,X0)
| ! [X3] :
( ~ m1_subset_1(X3,X0)
| ! [X4] :
( ~ m1_subset_1(X4,X1)
| ! [X5] :
( ~ m1_subset_1(X5,X1)
| ! [X6] :
( ~ m2_relset_1(X6,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X6,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X6)
| ! [X7] :
( ~ m2_relset_1(X7,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X7,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X7)
| k2_binop_1(k2_zfmisc_1(X0,X1),k2_zfmisc_1(X0,X1),k2_zfmisc_1(X0,X1),k7_filter_1(X0,X1,X6,X7),k1_domain_1(X0,X1,X2,X4),k1_domain_1(X0,X1,X3,X5)) = k1_domain_1(X0,X1,k2_binop_1(X0,X0,X0,X6,X2,X3),k2_binop_1(X1,X1,X1,X7,X4,X5)) ) ) ) ) ) ) ) ),
inference(flattening,[],[f7962]) ).
fof(f7964,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k5_finsub_1(u1_struct_0(X0)))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| m1_subset_1(k2_lattice4(X0,X1),u1_struct_0(X0)) ),
inference(ennf_transformation,[],[f6378]) ).
fof(f7965,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k5_finsub_1(u1_struct_0(X0)))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| m1_subset_1(k2_lattice4(X0,X1),u1_struct_0(X0)) ),
inference(flattening,[],[f7964]) ).
fof(f7966,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v14_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m2_lattice4(X1,X0)
| ~ r2_hidden(k6_lattices(X0),X1)
| ! [X2] :
( ~ m1_subset_1(X2,k5_finsub_1(u1_struct_0(X0)))
| ~ r1_tarski(X2,X1)
| r2_hidden(k2_lattice4(X0,X2),X1) ) ) ),
inference(ennf_transformation,[],[f6349]) ).
fof(f7967,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v14_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m2_lattice4(X1,X0)
| ~ r2_hidden(k6_lattices(X0),X1)
| ! [X2] :
( ~ m1_subset_1(X2,k5_finsub_1(u1_struct_0(X0)))
| ~ r1_tarski(X2,X1)
| r2_hidden(k2_lattice4(X0,X2),X1) ) ) ),
inference(flattening,[],[f7966]) ).
fof(f7968,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v14_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,k5_finsub_1(u1_struct_0(X0)))
| ! [X2] :
( ~ m1_subset_1(X2,k5_finsub_1(u1_struct_0(X0)))
| k4_lattices(X0,k2_lattice4(X0,X1),k2_lattice4(X0,X2)) = k2_lattice4(X0,k5_setwiseo(u1_struct_0(X0),X1,X2)) ) ) ),
inference(ennf_transformation,[],[f6348]) ).
fof(f7969,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v14_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,k5_finsub_1(u1_struct_0(X0)))
| ! [X2] :
( ~ m1_subset_1(X2,k5_finsub_1(u1_struct_0(X0)))
| k4_lattices(X0,k2_lattice4(X0,X1),k2_lattice4(X0,X2)) = k2_lattice4(X0,k5_setwiseo(u1_struct_0(X0),X1,X2)) ) ) ),
inference(flattening,[],[f7968]) ).
fof(f7970,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v14_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,k5_finsub_1(u1_struct_0(X0)))
| ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| k2_lattice4(X0,k5_setwiseo(u1_struct_0(X0),X1,k2_setwiseo(u1_struct_0(X0),X2))) = k4_lattices(X0,k2_lattice4(X0,X1),X2) ) ) ),
inference(ennf_transformation,[],[f6346]) ).
fof(f7971,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v14_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,k5_finsub_1(u1_struct_0(X0)))
| ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| k2_lattice4(X0,k5_setwiseo(u1_struct_0(X0),X1,k2_setwiseo(u1_struct_0(X0),X2))) = k4_lattices(X0,k2_lattice4(X0,X1),X2) ) ) ),
inference(flattening,[],[f7970]) ).
fof(f7972,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v14_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| k2_lattice4(X0,k1_setwiseo(u1_struct_0(X0))) = k6_lattices(X0) ),
inference(ennf_transformation,[],[f6344]) ).
fof(f7973,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v14_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| k2_lattice4(X0,k1_setwiseo(u1_struct_0(X0))) = k6_lattices(X0) ),
inference(flattening,[],[f7972]) ).
fof(f7974,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| k2_lattice4(X0,k2_setwiseo(u1_struct_0(X0),X1)) = X1 ) ),
inference(ennf_transformation,[],[f6335]) ).
fof(f7975,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| k2_lattice4(X0,k2_setwiseo(u1_struct_0(X0),X1)) = X1 ) ),
inference(flattening,[],[f7974]) ).
fof(f7976,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,k5_finsub_1(u1_struct_0(X0)))
| k2_lattice4(X0,X1) = k7_setwiseo(u1_struct_0(X0),u1_struct_0(X0),u1_lattices(X0),X1,k7_grcat_1(X0)) ) ),
inference(ennf_transformation,[],[f6332]) ).
fof(f7977,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,k5_finsub_1(u1_struct_0(X0)))
| k2_lattice4(X0,X1) = k7_setwiseo(u1_struct_0(X0),u1_struct_0(X0),u1_lattices(X0),X1,k7_grcat_1(X0)) ) ),
inference(flattening,[],[f7976]) ).
fof(f7978,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,k5_finsub_1(u1_struct_0(X0)))
| k2_lattice4(X0,X1) = k3_lattice2(u1_struct_0(X0),X0,X1,k7_grcat_1(X0)) ) ),
inference(ennf_transformation,[],[f6329]) ).
fof(f7979,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,k5_finsub_1(u1_struct_0(X0)))
| k2_lattice4(X0,X1) = k3_lattice2(u1_struct_0(X0),X0,X1,k7_grcat_1(X0)) ) ),
inference(flattening,[],[f7978]) ).
fof(f7980,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v14_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,k5_finsub_1(u1_struct_0(X0)))
| ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| ! [X3] :
( ~ m2_relset_1(X3,u1_struct_0(X0),u1_struct_0(X0))
| ~ v1_funct_2(X3,u1_struct_0(X0),u1_struct_0(X0))
| ~ v1_funct_1(X3)
| k3_lattice2(u1_struct_0(X0),X0,k5_setwiseo(u1_struct_0(X0),X1,k2_setwiseo(u1_struct_0(X0),X2)),X3) = k4_lattices(X0,k3_lattice2(u1_struct_0(X0),X0,X1,X3),k8_funct_2(u1_struct_0(X0),u1_struct_0(X0),X3,X2)) ) ) ) ),
inference(ennf_transformation,[],[f6345]) ).
fof(f7981,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v14_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,k5_finsub_1(u1_struct_0(X0)))
| ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| ! [X3] :
( ~ m2_relset_1(X3,u1_struct_0(X0),u1_struct_0(X0))
| ~ v1_funct_2(X3,u1_struct_0(X0),u1_struct_0(X0))
| ~ v1_funct_1(X3)
| k3_lattice2(u1_struct_0(X0),X0,k5_setwiseo(u1_struct_0(X0),X1,k2_setwiseo(u1_struct_0(X0),X2)),X3) = k4_lattices(X0,k3_lattice2(u1_struct_0(X0),X0,X1,X3),k8_funct_2(u1_struct_0(X0),u1_struct_0(X0),X3,X2)) ) ) ) ),
inference(flattening,[],[f7980]) ).
fof(f7982,plain,
! [X0,X1,X2,X3] :
( ~ m1_relset_1(X3,X0,u1_struct_0(X1))
| ~ v1_funct_2(X3,X0,u1_struct_0(X1))
| ~ v1_funct_1(X3)
| ~ m1_subset_1(X2,k5_finsub_1(X0))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| v1_xboole_0(X0)
| m1_subset_1(k3_lattice2(X0,X1,X2,X3),u1_struct_0(X1)) ),
inference(ennf_transformation,[],[f5714]) ).
fof(f7983,plain,
! [X0,X1,X2,X3] :
( ~ m1_relset_1(X3,X0,u1_struct_0(X1))
| ~ v1_funct_2(X3,X0,u1_struct_0(X1))
| ~ v1_funct_1(X3)
| ~ m1_subset_1(X2,k5_finsub_1(X0))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| v1_xboole_0(X0)
| m1_subset_1(k3_lattice2(X0,X1,X2,X3),u1_struct_0(X1)) ),
inference(flattening,[],[f7982]) ).
fof(f7984,plain,
! [X0] :
( v1_xboole_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,k5_finsub_1(X0))
| ! [X2] :
( ~ l3_lattices(X2)
| ~ v14_lattices(X2)
| ~ v10_lattices(X2)
| v3_struct_0(X2)
| ! [X3] :
( ~ m2_relset_1(X3,X0,u1_struct_0(X2))
| ~ v1_funct_2(X3,X0,u1_struct_0(X2))
| ~ v1_funct_1(X3)
| ! [X4] :
( ~ m2_relset_1(X4,X0,u1_struct_0(X2))
| ~ v1_funct_2(X4,X0,u1_struct_0(X2))
| ~ v1_funct_1(X4)
| ? [X5] :
( m1_subset_1(X5,X0)
& r2_hidden(X5,X1)
& ~ r3_lattices(X2,k8_funct_2(X0,u1_struct_0(X2),X3,X5),k8_funct_2(X0,u1_struct_0(X2),X4,X5)) )
| r3_lattices(X2,k3_lattice2(X0,X2,X1,X3),k3_lattice2(X0,X2,X1,X4)) ) ) ) ) ),
inference(ennf_transformation,[],[f5701]) ).
fof(f7985,plain,
! [X0] :
( v1_xboole_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,k5_finsub_1(X0))
| ! [X2] :
( ~ l3_lattices(X2)
| ~ v14_lattices(X2)
| ~ v10_lattices(X2)
| v3_struct_0(X2)
| ! [X3] :
( ~ m2_relset_1(X3,X0,u1_struct_0(X2))
| ~ v1_funct_2(X3,X0,u1_struct_0(X2))
| ~ v1_funct_1(X3)
| ! [X4] :
( ~ m2_relset_1(X4,X0,u1_struct_0(X2))
| ~ v1_funct_2(X4,X0,u1_struct_0(X2))
| ~ v1_funct_1(X4)
| ? [X5] :
( m1_subset_1(X5,X0)
& r2_hidden(X5,X1)
& ~ r3_lattices(X2,k8_funct_2(X0,u1_struct_0(X2),X3,X5),k8_funct_2(X0,u1_struct_0(X2),X4,X5)) )
| r3_lattices(X2,k3_lattice2(X0,X2,X1,X3),k3_lattice2(X0,X2,X1,X4)) ) ) ) ) ),
inference(flattening,[],[f7984]) ).
fof(f7986,plain,
! [X0] :
( v1_xboole_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,k5_finsub_1(X0))
| ! [X2] :
( ~ l3_lattices(X2)
| ~ v14_lattices(X2)
| ~ v10_lattices(X2)
| v3_struct_0(X2)
| ! [X3] :
( ~ m2_relset_1(X3,X0,u1_struct_0(X2))
| ~ v1_funct_2(X3,X0,u1_struct_0(X2))
| ~ v1_funct_1(X3)
| ! [X4] :
( ~ m1_subset_1(X4,u1_struct_0(X2))
| ? [X5] :
( m1_subset_1(X5,X0)
& r2_hidden(X5,X1)
& ~ r3_lattices(X2,X4,k8_funct_2(X0,u1_struct_0(X2),X3,X5)) )
| r3_lattices(X2,X4,k3_lattice2(X0,X2,X1,X3)) ) ) ) ) ),
inference(ennf_transformation,[],[f5700]) ).
fof(f7987,plain,
! [X0] :
( v1_xboole_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,k5_finsub_1(X0))
| ! [X2] :
( ~ l3_lattices(X2)
| ~ v14_lattices(X2)
| ~ v10_lattices(X2)
| v3_struct_0(X2)
| ! [X3] :
( ~ m2_relset_1(X3,X0,u1_struct_0(X2))
| ~ v1_funct_2(X3,X0,u1_struct_0(X2))
| ~ v1_funct_1(X3)
| ! [X4] :
( ~ m1_subset_1(X4,u1_struct_0(X2))
| ? [X5] :
( m1_subset_1(X5,X0)
& r2_hidden(X5,X1)
& ~ r3_lattices(X2,X4,k8_funct_2(X0,u1_struct_0(X2),X3,X5)) )
| r3_lattices(X2,X4,k3_lattice2(X0,X2,X1,X3)) ) ) ) ) ),
inference(flattening,[],[f7986]) ).
fof(f7988,plain,
! [X0] :
( v1_xboole_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,k5_finsub_1(X0))
| ! [X2] :
( ~ l3_lattices(X2)
| ~ v14_lattices(X2)
| ~ v10_lattices(X2)
| v3_struct_0(X2)
| ! [X3] :
( ~ m2_relset_1(X3,X0,u1_struct_0(X2))
| ~ v1_funct_2(X3,X0,u1_struct_0(X2))
| ~ v1_funct_1(X3)
| ! [X4] :
( ~ m2_relset_1(X4,X0,u1_struct_0(X2))
| ~ v1_funct_2(X4,X0,u1_struct_0(X2))
| ~ v1_funct_1(X4)
| k2_partfun1(X0,u1_struct_0(X2),X3,X1) != k2_partfun1(X0,u1_struct_0(X2),X4,X1)
| k3_lattice2(X0,X2,X1,X3) = k3_lattice2(X0,X2,X1,X4) ) ) ) ) ),
inference(ennf_transformation,[],[f5699]) ).
fof(f7989,plain,
! [X0] :
( v1_xboole_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,k5_finsub_1(X0))
| ! [X2] :
( ~ l3_lattices(X2)
| ~ v14_lattices(X2)
| ~ v10_lattices(X2)
| v3_struct_0(X2)
| ! [X3] :
( ~ m2_relset_1(X3,X0,u1_struct_0(X2))
| ~ v1_funct_2(X3,X0,u1_struct_0(X2))
| ~ v1_funct_1(X3)
| ! [X4] :
( ~ m2_relset_1(X4,X0,u1_struct_0(X2))
| ~ v1_funct_2(X4,X0,u1_struct_0(X2))
| ~ v1_funct_1(X4)
| k2_partfun1(X0,u1_struct_0(X2),X3,X1) != k2_partfun1(X0,u1_struct_0(X2),X4,X1)
| k3_lattice2(X0,X2,X1,X3) = k3_lattice2(X0,X2,X1,X4) ) ) ) ) ),
inference(flattening,[],[f7988]) ).
fof(f7990,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( v1_xboole_0(X1)
| ! [X2] :
( ~ m1_subset_1(X2,k5_finsub_1(X1))
| ! [X3] :
( ~ m2_relset_1(X3,X1,u1_struct_0(X0))
| ~ v1_funct_2(X3,X1,u1_struct_0(X0))
| ~ v1_funct_1(X3)
| ! [X4] :
( ~ m2_relset_1(X4,X1,u1_struct_0(X0))
| ~ v1_funct_2(X4,X1,u1_struct_0(X0))
| ~ v1_funct_1(X4)
| ? [X5] :
( m1_subset_1(X5,X1)
& r2_hidden(X5,X2)
& ~ r3_lattices(X0,k8_funct_2(X1,u1_struct_0(X0),X3,X5),k8_funct_2(X1,u1_struct_0(X0),X4,X5)) )
| r3_lattices(X0,k3_lattice2(X1,X0,X2,X3),k3_lattice2(X1,X0,X2,X4))
| X2 = k1_xboole_0 ) ) ) ) ),
inference(ennf_transformation,[],[f5686]) ).
fof(f7991,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( v1_xboole_0(X1)
| ! [X2] :
( ~ m1_subset_1(X2,k5_finsub_1(X1))
| ! [X3] :
( ~ m2_relset_1(X3,X1,u1_struct_0(X0))
| ~ v1_funct_2(X3,X1,u1_struct_0(X0))
| ~ v1_funct_1(X3)
| ! [X4] :
( ~ m2_relset_1(X4,X1,u1_struct_0(X0))
| ~ v1_funct_2(X4,X1,u1_struct_0(X0))
| ~ v1_funct_1(X4)
| ? [X5] :
( m1_subset_1(X5,X1)
& r2_hidden(X5,X2)
& ~ r3_lattices(X0,k8_funct_2(X1,u1_struct_0(X0),X3,X5),k8_funct_2(X1,u1_struct_0(X0),X4,X5)) )
| r3_lattices(X0,k3_lattice2(X1,X0,X2,X3),k3_lattice2(X1,X0,X2,X4))
| X2 = k1_xboole_0 ) ) ) ) ),
inference(flattening,[],[f7990]) ).
fof(f7992,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ! [X2] :
( v1_xboole_0(X2)
| ! [X3] :
( ~ m1_subset_1(X3,k5_finsub_1(X2))
| ! [X4] :
( ~ m2_relset_1(X4,X2,u1_struct_0(X0))
| ~ v1_funct_2(X4,X2,u1_struct_0(X0))
| ~ v1_funct_1(X4)
| ? [X5] :
( m1_subset_1(X5,X2)
& r2_hidden(X5,X3)
& ~ r3_lattices(X0,X1,k8_funct_2(X2,u1_struct_0(X0),X4,X5)) )
| r3_lattices(X0,X1,k3_lattice2(X2,X0,X3,X4))
| X3 = k1_xboole_0 ) ) ) ) ),
inference(ennf_transformation,[],[f5685]) ).
fof(f7993,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ! [X2] :
( v1_xboole_0(X2)
| ! [X3] :
( ~ m1_subset_1(X3,k5_finsub_1(X2))
| ! [X4] :
( ~ m2_relset_1(X4,X2,u1_struct_0(X0))
| ~ v1_funct_2(X4,X2,u1_struct_0(X0))
| ~ v1_funct_1(X4)
| ? [X5] :
( m1_subset_1(X5,X2)
& r2_hidden(X5,X3)
& ~ r3_lattices(X0,X1,k8_funct_2(X2,u1_struct_0(X0),X4,X5)) )
| r3_lattices(X0,X1,k3_lattice2(X2,X0,X3,X4))
| X3 = k1_xboole_0 ) ) ) ) ),
inference(flattening,[],[f7992]) ).
fof(f7994,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( v1_xboole_0(X1)
| ! [X2] :
( ~ m1_subset_1(X2,k5_finsub_1(X1))
| ! [X3] :
( ~ m2_relset_1(X3,X1,u1_struct_0(X0))
| ~ v1_funct_2(X3,X1,u1_struct_0(X0))
| ~ v1_funct_1(X3)
| ! [X4] :
( ~ m2_relset_1(X4,X1,u1_struct_0(X0))
| ~ v1_funct_2(X4,X1,u1_struct_0(X0))
| ~ v1_funct_1(X4)
| k2_partfun1(X1,u1_struct_0(X0),X3,X2) != k2_partfun1(X1,u1_struct_0(X0),X4,X2)
| k3_lattice2(X1,X0,X2,X3) = k3_lattice2(X1,X0,X2,X4)
| X2 = k1_xboole_0 ) ) ) ) ),
inference(ennf_transformation,[],[f5684]) ).
fof(f7995,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( v1_xboole_0(X1)
| ! [X2] :
( ~ m1_subset_1(X2,k5_finsub_1(X1))
| ! [X3] :
( ~ m2_relset_1(X3,X1,u1_struct_0(X0))
| ~ v1_funct_2(X3,X1,u1_struct_0(X0))
| ~ v1_funct_1(X3)
| ! [X4] :
( ~ m2_relset_1(X4,X1,u1_struct_0(X0))
| ~ v1_funct_2(X4,X1,u1_struct_0(X0))
| ~ v1_funct_1(X4)
| k2_partfun1(X1,u1_struct_0(X0),X3,X2) != k2_partfun1(X1,u1_struct_0(X0),X4,X2)
| k3_lattice2(X1,X0,X2,X3) = k3_lattice2(X1,X0,X2,X4)
| X2 = k1_xboole_0 ) ) ) ) ),
inference(flattening,[],[f7994]) ).
fof(f7996,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ! [X2] :
( v1_xboole_0(X2)
| ! [X3] :
( ~ m1_subset_1(X3,k5_finsub_1(X2))
| ! [X4] :
( ~ m2_relset_1(X4,X2,u1_struct_0(X0))
| ~ v1_funct_2(X4,X2,u1_struct_0(X0))
| ~ v1_funct_1(X4)
| ~ r3_lattices(X0,X1,k3_lattice2(X2,X0,X3,X4))
| ! [X5] :
( ~ m1_subset_1(X5,X2)
| ~ r2_hidden(X5,X3)
| r3_lattices(X0,X1,k8_funct_2(X2,u1_struct_0(X0),X4,X5)) ) ) ) ) ) ),
inference(ennf_transformation,[],[f5683]) ).
fof(f7997,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ! [X2] :
( v1_xboole_0(X2)
| ! [X3] :
( ~ m1_subset_1(X3,k5_finsub_1(X2))
| ! [X4] :
( ~ m2_relset_1(X4,X2,u1_struct_0(X0))
| ~ v1_funct_2(X4,X2,u1_struct_0(X0))
| ~ v1_funct_1(X4)
| ~ r3_lattices(X0,X1,k3_lattice2(X2,X0,X3,X4))
| ! [X5] :
( ~ m1_subset_1(X5,X2)
| ~ r2_hidden(X5,X3)
| r3_lattices(X0,X1,k8_funct_2(X2,u1_struct_0(X0),X4,X5)) ) ) ) ) ) ),
inference(flattening,[],[f7996]) ).
fof(f7998,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ! [X2] :
( v1_xboole_0(X2)
| ! [X3] :
( ~ m1_subset_1(X3,k5_finsub_1(X2))
| ! [X4] :
( ~ m2_relset_1(X4,X2,u1_struct_0(X0))
| ~ v1_funct_2(X4,X2,u1_struct_0(X0))
| ~ v1_funct_1(X4)
| ? [X5] :
( m1_subset_1(X5,X2)
& r2_hidden(X5,X3)
& k8_funct_2(X2,u1_struct_0(X0),X4,X5) != X1 )
| k3_lattice2(X2,X0,X3,X4) = X1
| X3 = k1_xboole_0 ) ) ) ) ),
inference(ennf_transformation,[],[f5681]) ).
fof(f7999,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ! [X2] :
( v1_xboole_0(X2)
| ! [X3] :
( ~ m1_subset_1(X3,k5_finsub_1(X2))
| ! [X4] :
( ~ m2_relset_1(X4,X2,u1_struct_0(X0))
| ~ v1_funct_2(X4,X2,u1_struct_0(X0))
| ~ v1_funct_1(X4)
| ? [X5] :
( m1_subset_1(X5,X2)
& r2_hidden(X5,X3)
& k8_funct_2(X2,u1_struct_0(X0),X4,X5) != X1 )
| k3_lattice2(X2,X0,X3,X4) = X1
| X3 = k1_xboole_0 ) ) ) ) ),
inference(flattening,[],[f7998]) ).
fof(f8000,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ! [X2] :
( v1_xboole_0(X2)
| ! [X3] :
( ~ m1_subset_1(X3,k5_finsub_1(X2))
| ! [X4] :
( ~ m2_relset_1(X4,X2,u1_struct_0(X0))
| ~ v1_funct_2(X4,X2,u1_struct_0(X0))
| ~ v1_funct_1(X4)
| ! [X5] :
( ~ r3_lattices(X0,k8_funct_2(X2,u1_struct_0(X0),X4,X5),X1)
| ~ r2_hidden(X5,X3)
| ~ m1_subset_1(X5,X2) )
| r3_lattices(X0,k3_lattice2(X2,X0,X3,X4),X1) ) ) ) ) ),
inference(ennf_transformation,[],[f5680]) ).
fof(f8001,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ! [X2] :
( v1_xboole_0(X2)
| ! [X3] :
( ~ m1_subset_1(X3,k5_finsub_1(X2))
| ! [X4] :
( ~ m2_relset_1(X4,X2,u1_struct_0(X0))
| ~ v1_funct_2(X4,X2,u1_struct_0(X0))
| ~ v1_funct_1(X4)
| ! [X5] :
( ~ r3_lattices(X0,k8_funct_2(X2,u1_struct_0(X0),X4,X5),X1)
| ~ r2_hidden(X5,X3)
| ~ m1_subset_1(X5,X2) )
| r3_lattices(X0,k3_lattice2(X2,X0,X3,X4),X1) ) ) ) ) ),
inference(flattening,[],[f8000]) ).
fof(f8002,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( v1_xboole_0(X1)
| ! [X2] :
( ~ m1_subset_1(X2,X1)
| ! [X3] :
( ~ m1_subset_1(X3,k5_finsub_1(X1))
| ! [X4] :
( ~ m2_relset_1(X4,X1,u1_struct_0(X0))
| ~ v1_funct_2(X4,X1,u1_struct_0(X0))
| ~ v1_funct_1(X4)
| ~ r2_hidden(X2,X3)
| r3_lattices(X0,k3_lattice2(X1,X0,X3,X4),k8_funct_2(X1,u1_struct_0(X0),X4,X2)) ) ) ) ) ),
inference(ennf_transformation,[],[f5679]) ).
fof(f8003,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( v1_xboole_0(X1)
| ! [X2] :
( ~ m1_subset_1(X2,X1)
| ! [X3] :
( ~ m1_subset_1(X3,k5_finsub_1(X1))
| ! [X4] :
( ~ m2_relset_1(X4,X1,u1_struct_0(X0))
| ~ v1_funct_2(X4,X1,u1_struct_0(X0))
| ~ v1_funct_1(X4)
| ~ r2_hidden(X2,X3)
| r3_lattices(X0,k3_lattice2(X1,X0,X3,X4),k8_funct_2(X1,u1_struct_0(X0),X4,X2)) ) ) ) ) ),
inference(flattening,[],[f8002]) ).
fof(f8004,plain,
! [X0] :
( v1_xboole_0(X0)
| ! [X1] :
( ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ! [X2] :
( ~ m1_subset_1(X2,k5_finsub_1(X0))
| ! [X3] :
( ~ m2_relset_1(X3,X0,u1_struct_0(X1))
| ~ v1_funct_2(X3,X0,u1_struct_0(X1))
| ~ v1_funct_1(X3)
| k3_lattice2(X0,X1,X2,X3) = k7_setwiseo(X0,u1_struct_0(X1),u1_lattices(X1),X2,X3) ) ) ) ),
inference(ennf_transformation,[],[f5665]) ).
fof(f8005,plain,
! [X0] :
( v1_xboole_0(X0)
| ! [X1] :
( ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ! [X2] :
( ~ m1_subset_1(X2,k5_finsub_1(X0))
| ! [X3] :
( ~ m2_relset_1(X3,X0,u1_struct_0(X1))
| ~ v1_funct_2(X3,X0,u1_struct_0(X1))
| ~ v1_funct_1(X3)
| k3_lattice2(X0,X1,X2,X3) = k7_setwiseo(X0,u1_struct_0(X1),u1_lattices(X1),X2,X3) ) ) ) ),
inference(flattening,[],[f8004]) ).
fof(f8006,plain,
! [X0,X1] :
( ~ r1_tarski(X0,X1)
| k6_relat_1(X0) = k7_relat_1(k6_relat_1(X1),X0) ),
inference(ennf_transformation,[],[f1904]) ).
fof(f8007,plain,
! [X0,X1,X2] :
( ~ m2_relset_1(X2,X0,X1)
| k5_relat_1(X2,k6_relat_1(X1)) = X2 ),
inference(ennf_transformation,[],[f1388]) ).
fof(f8008,plain,
! [X0,X1,X2] :
( ~ m2_relset_1(X2,X0,X1)
| k5_relat_1(k6_relat_1(X0),X2) = X2 ),
inference(ennf_transformation,[],[f1387]) ).
fof(f8009,plain,
! [X0] :
( v1_xboole_0(X0)
| k6_relat_1(X0) != k1_xboole_0 ),
inference(ennf_transformation,[],[f1304]) ).
fof(f8010,plain,
! [X0,X1] :
( ~ m2_relset_1(X1,X0,X0)
| ( k5_relat_1(k6_relat_1(X0),X1) = X1
& k5_relat_1(X1,k6_relat_1(X0)) = X1 ) ),
inference(ennf_transformation,[],[f1303]) ).
fof(f8011,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| k9_relat_1(k6_relat_1(X0),X1) = X1 ),
inference(ennf_transformation,[],[f1101]) ).
fof(f8012,plain,
! [X0] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ! [X1] :
( k5_relat_1(X0,X1) != k6_relat_1(k1_relat_1(X0))
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1) )
| v2_funct_1(X0) ),
inference(ennf_transformation,[],[f987]) ).
fof(f8013,plain,
! [X0] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ! [X1] :
( k5_relat_1(X0,X1) != k6_relat_1(k1_relat_1(X0))
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1) )
| v2_funct_1(X0) ),
inference(flattening,[],[f8012]) ).
fof(f8014,plain,
! [X0,X1] :
( ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ! [X2] :
( ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| k5_relat_1(X2,X1) != X1
| ~ v2_funct_1(X1)
| ~ r1_tarski(k2_relat_1(X2),X0)
| k1_relat_1(X2) != X0
| k1_relat_1(X1) != X0
| X2 = k6_relat_1(X0) ) ),
inference(ennf_transformation,[],[f984]) ).
fof(f8015,plain,
! [X0,X1] :
( ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ! [X2] :
( ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| k5_relat_1(X2,X1) != X1
| ~ v2_funct_1(X1)
| ~ r1_tarski(k2_relat_1(X2),X0)
| k1_relat_1(X2) != X0
| k1_relat_1(X1) != X0
| X2 = k6_relat_1(X0) ) ),
inference(flattening,[],[f8014]) ).
fof(f8016,plain,
! [X0] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ! [X1] :
( ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| k5_relat_1(X0,X1) != X0
| k2_relat_1(X0) != k1_relat_1(X1)
| X1 = k6_relat_1(k1_relat_1(X1)) ) ),
inference(ennf_transformation,[],[f975]) ).
fof(f8017,plain,
! [X0] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ! [X1] :
( ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| k5_relat_1(X0,X1) != X0
| k2_relat_1(X0) != k1_relat_1(X1)
| X1 = k6_relat_1(k1_relat_1(X1)) ) ),
inference(flattening,[],[f8016]) ).
fof(f8020,plain,
! [X0,X1,X2] :
( ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| ( r2_hidden(X1,k1_relat_1(k5_relat_1(X2,k6_relat_1(X0))))
<=> ( r2_hidden(k1_funct_1(X2,X1),X0)
& r2_hidden(X1,k1_relat_1(X2)) ) ) ),
inference(ennf_transformation,[],[f971]) ).
fof(f8021,plain,
! [X0,X1,X2] :
( ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| ( r2_hidden(X1,k1_relat_1(k5_relat_1(X2,k6_relat_1(X0))))
<=> ( r2_hidden(k1_funct_1(X2,X1),X0)
& r2_hidden(X1,k1_relat_1(X2)) ) ) ),
inference(flattening,[],[f8020]) ).
fof(f8022,plain,
! [X0,X1,X2] :
( ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| ~ r2_hidden(X1,k3_xboole_0(k1_relat_1(X2),X0))
| k1_funct_1(X2,X1) = k1_funct_1(k5_relat_1(k6_relat_1(X0),X2),X1) ),
inference(ennf_transformation,[],[f969]) ).
fof(f8023,plain,
! [X0,X1,X2] :
( ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| ~ r2_hidden(X1,k3_xboole_0(k1_relat_1(X2),X0))
| k1_funct_1(X2,X1) = k1_funct_1(k5_relat_1(k6_relat_1(X0),X2),X1) ),
inference(flattening,[],[f8022]) ).
fof(f8024,plain,
! [X0,X1] :
( ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| k1_relat_1(k5_relat_1(k6_relat_1(X0),X1)) = k3_xboole_0(k1_relat_1(X1),X0) ),
inference(ennf_transformation,[],[f968]) ).
fof(f8025,plain,
! [X0,X1] :
( ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| k1_relat_1(k5_relat_1(k6_relat_1(X0),X1)) = k3_xboole_0(k1_relat_1(X1),X0) ),
inference(flattening,[],[f8024]) ).
fof(f8026,plain,
! [X0,X1] :
( ~ r2_hidden(X1,X0)
| k1_funct_1(k6_relat_1(X0),X1) = X1 ),
inference(ennf_transformation,[],[f966]) ).
fof(f8027,plain,
! [X0,X1] :
( ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ( X1 = k6_relat_1(X0)
<=> ( ! [X2] :
( ~ r2_hidden(X2,X0)
| k1_funct_1(X1,X2) = X2 )
& k1_relat_1(X1) = X0 ) ) ),
inference(ennf_transformation,[],[f965]) ).
fof(f8028,plain,
! [X0,X1] :
( ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ( X1 = k6_relat_1(X0)
<=> ( ! [X2] :
( ~ r2_hidden(X2,X0)
| k1_funct_1(X1,X2) = X2 )
& k1_relat_1(X1) = X0 ) ) ),
inference(flattening,[],[f8027]) ).
fof(f8029,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| k8_relat_1(X0,X1) = k5_relat_1(X1,k6_relat_1(X0)) ),
inference(ennf_transformation,[],[f831]) ).
fof(f8030,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| k7_relat_1(X1,X0) = k5_relat_1(k6_relat_1(X0),X1) ),
inference(ennf_transformation,[],[f801]) ).
fof(f8031,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| ! [X2] :
( ~ v1_relat_1(X2)
| ! [X3] :
( ~ v1_relat_1(X3)
| k5_relat_1(X1,X3) != k6_relat_1(X0)
| k5_relat_1(X2,X1) != k6_relat_1(k1_relat_1(X3))
| ~ r1_tarski(k2_relat_1(X2),X0)
| k1_relat_1(X1) != X0
| X3 = X2 ) ) ),
inference(ennf_transformation,[],[f788]) ).
fof(f8032,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| ! [X2] :
( ~ v1_relat_1(X2)
| ! [X3] :
( ~ v1_relat_1(X3)
| k5_relat_1(X1,X3) != k6_relat_1(X0)
| k5_relat_1(X2,X1) != k6_relat_1(k1_relat_1(X3))
| ~ r1_tarski(k2_relat_1(X2),X0)
| k1_relat_1(X1) != X0
| X3 = X2 ) ) ),
inference(flattening,[],[f8031]) ).
fof(f8033,plain,
! [X0] :
( ~ v1_relat_1(X0)
| k5_relat_1(X0,k6_relat_1(k2_relat_1(X0))) = X0 ),
inference(ennf_transformation,[],[f786]) ).
fof(f8034,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| ~ r1_tarski(k2_relat_1(X1),X0)
| k5_relat_1(X1,k6_relat_1(X0)) = X1 ),
inference(ennf_transformation,[],[f785]) ).
fof(f8035,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| ~ r1_tarski(k2_relat_1(X1),X0)
| k5_relat_1(X1,k6_relat_1(X0)) = X1 ),
inference(flattening,[],[f8034]) ).
fof(f8036,plain,
! [X0] :
( ~ v1_relat_1(X0)
| k5_relat_1(k6_relat_1(k1_relat_1(X0)),X0) = X0 ),
inference(ennf_transformation,[],[f784]) ).
fof(f8037,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| ~ r1_tarski(k1_relat_1(X1),X0)
| k5_relat_1(k6_relat_1(X0),X1) = X1 ),
inference(ennf_transformation,[],[f783]) ).
fof(f8038,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| ~ r1_tarski(k1_relat_1(X1),X0)
| k5_relat_1(k6_relat_1(X0),X1) = X1 ),
inference(flattening,[],[f8037]) ).
fof(f8039,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| ( r1_tarski(k5_relat_1(k6_relat_1(X0),X1),X1)
& r1_tarski(k5_relat_1(X1,k6_relat_1(X0)),X1) ) ),
inference(ennf_transformation,[],[f782]) ).
fof(f8040,plain,
! [X0,X1,X2,X3] :
( ~ v1_relat_1(X3)
| ( r2_hidden(k4_tarski(X0,X1),k5_relat_1(X3,k6_relat_1(X2)))
<=> ( r2_hidden(k4_tarski(X0,X1),X3)
& r2_hidden(X1,X2) ) ) ),
inference(ennf_transformation,[],[f781]) ).
fof(f8041,plain,
! [X0,X1,X2,X3] :
( ~ v1_relat_1(X3)
| ( r2_hidden(k4_tarski(X0,X1),k5_relat_1(k6_relat_1(X2),X3))
<=> ( r2_hidden(k4_tarski(X0,X1),X3)
& r2_hidden(X0,X2) ) ) ),
inference(ennf_transformation,[],[f780]) ).
fof(f8042,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| ? [X2] :
( r2_hidden(X2,X0)
& ~ r2_hidden(k4_tarski(X2,X2),X1) )
| r1_tarski(k6_relat_1(X0),X1) ),
inference(ennf_transformation,[],[f779]) ).
fof(f8043,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| ? [X2] :
( r2_hidden(X2,X0)
& ~ r2_hidden(k4_tarski(X2,X2),X1) )
| r1_tarski(k6_relat_1(X0),X1) ),
inference(flattening,[],[f8042]) ).
fof(f8044,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| ( X1 = k6_relat_1(X0)
<=> ! [X2,X3] :
( r2_hidden(k4_tarski(X2,X3),X1)
<=> ( X2 = X3
& r2_hidden(X2,X0) ) ) ) ),
inference(ennf_transformation,[],[f773]) ).
fof(f8045,plain,
! [X0] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ! [X1] :
( ~ v1_finseq_1(X1)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ~ r1_tarski(k2_relat_1(X1),k1_relat_1(X0))
| ( v1_finseq_1(k5_relat_1(X1,X0))
& v1_funct_1(k5_relat_1(X1,X0))
& v1_relat_1(k5_relat_1(X1,X0)) ) ) ),
inference(ennf_transformation,[],[f3273]) ).
fof(f8046,plain,
! [X0] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ! [X1] :
( ~ v1_finseq_1(X1)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ~ r1_tarski(k2_relat_1(X1),k1_relat_1(X0))
| ( v1_finseq_1(k5_relat_1(X1,X0))
& v1_funct_1(k5_relat_1(X1,X0))
& v1_relat_1(k5_relat_1(X1,X0)) ) ) ),
inference(flattening,[],[f8045]) ).
fof(f8047,plain,
! [X0,X1] :
( ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ! [X2] :
( ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| ~ r1_tarski(k10_relat_1(X2,X0),k2_relat_1(X1))
| ~ r1_tarski(X0,k2_relat_1(X2))
| r1_tarski(X0,k2_relat_1(k5_relat_1(X1,X2))) ) ),
inference(ennf_transformation,[],[f1908]) ).
fof(f8048,plain,
! [X0,X1] :
( ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ! [X2] :
( ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| ~ r1_tarski(k10_relat_1(X2,X0),k2_relat_1(X1))
| ~ r1_tarski(X0,k2_relat_1(X2))
| r1_tarski(X0,k2_relat_1(k5_relat_1(X1,X2))) ) ),
inference(flattening,[],[f8047]) ).
fof(f8049,plain,
! [X0,X1] :
( ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ! [X2] :
( ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| ~ v2_funct_1(X2)
| ~ r1_tarski(X0,k2_relat_1(k5_relat_1(X1,X2)))
| r1_tarski(k10_relat_1(X2,X0),k2_relat_1(X1)) ) ),
inference(ennf_transformation,[],[f1907]) ).
fof(f8050,plain,
! [X0,X1] :
( ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ! [X2] :
( ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| ~ v2_funct_1(X2)
| ~ r1_tarski(X0,k2_relat_1(k5_relat_1(X1,X2)))
| r1_tarski(k10_relat_1(X2,X0),k2_relat_1(X1)) ) ),
inference(flattening,[],[f8049]) ).
fof(f8051,plain,
! [X0,X1] :
( ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ! [X2] :
( ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| ~ r1_tarski(k9_relat_1(X1,X0),k1_relat_1(X2))
| ~ r1_tarski(X0,k1_relat_1(X1))
| r1_tarski(X0,k1_relat_1(k5_relat_1(X1,X2))) ) ),
inference(ennf_transformation,[],[f1906]) ).
fof(f8052,plain,
! [X0,X1] :
( ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ! [X2] :
( ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| ~ r1_tarski(k9_relat_1(X1,X0),k1_relat_1(X2))
| ~ r1_tarski(X0,k1_relat_1(X1))
| r1_tarski(X0,k1_relat_1(k5_relat_1(X1,X2))) ) ),
inference(flattening,[],[f8051]) ).
fof(f8053,plain,
! [X0,X1] :
( ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ! [X2] :
( ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| ~ r1_tarski(X0,k1_relat_1(k5_relat_1(X1,X2)))
| r1_tarski(k9_relat_1(X1,X0),k1_relat_1(X2)) ) ),
inference(ennf_transformation,[],[f1905]) ).
fof(f8054,plain,
! [X0,X1] :
( ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ! [X2] :
( ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| ~ r1_tarski(X0,k1_relat_1(k5_relat_1(X1,X2)))
| r1_tarski(k9_relat_1(X1,X0),k1_relat_1(X2)) ) ),
inference(flattening,[],[f8053]) ).
fof(f8055,plain,
! [X0,X1,X2] :
( ~ m2_relset_1(X2,X0,X0)
| ~ v1_funct_2(X2,X0,X0)
| ~ v1_funct_1(X2)
| ! [X3] :
( ~ v1_funct_1(X3)
| ~ v1_relat_1(X3)
| ~ r2_hidden(X1,X0)
| k1_funct_1(k5_relat_1(X2,X3),X1) = k1_funct_1(X3,k1_funct_1(X2,X1)) ) ),
inference(ennf_transformation,[],[f1771]) ).
fof(f8056,plain,
! [X0,X1,X2] :
( ~ m2_relset_1(X2,X0,X0)
| ~ v1_funct_2(X2,X0,X0)
| ~ v1_funct_1(X2)
| ! [X3] :
( ~ v1_funct_1(X3)
| ~ v1_relat_1(X3)
| ~ r2_hidden(X1,X0)
| k1_funct_1(k5_relat_1(X2,X3),X1) = k1_funct_1(X3,k1_funct_1(X2,X1)) ) ),
inference(flattening,[],[f8055]) ).
fof(f8057,plain,
! [X0,X1,X2,X3] :
( ~ m2_relset_1(X3,X0,X1)
| ~ v1_funct_2(X3,X0,X1)
| ~ v1_funct_1(X3)
| ! [X4] :
( ~ v1_funct_1(X4)
| ~ v1_relat_1(X4)
| ~ r2_hidden(X2,X0)
| k1_funct_1(k5_relat_1(X3,X4),X2) = k1_funct_1(X4,k1_funct_1(X3,X2))
| X1 = k1_xboole_0 ) ),
inference(ennf_transformation,[],[f1722]) ).
fof(f8058,plain,
! [X0,X1,X2,X3] :
( ~ m2_relset_1(X3,X0,X1)
| ~ v1_funct_2(X3,X0,X1)
| ~ v1_funct_1(X3)
| ! [X4] :
( ~ v1_funct_1(X4)
| ~ v1_relat_1(X4)
| ~ r2_hidden(X2,X0)
| k1_funct_1(k5_relat_1(X3,X4),X2) = k1_funct_1(X4,k1_funct_1(X3,X2))
| X1 = k1_xboole_0 ) ),
inference(flattening,[],[f8057]) ).
fof(f8059,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| ! [X2] :
( ~ v1_relat_1(X2)
| ~ r1_tarski(k2_relat_1(X1),k1_relat_1(X2))
| r1_tarski(k10_relat_1(X1,X0),k10_relat_1(k5_relat_1(X1,X2),k9_relat_1(X2,X0))) ) ),
inference(ennf_transformation,[],[f1099]) ).
fof(f8060,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| ! [X2] :
( ~ v1_relat_1(X2)
| ~ r1_tarski(k2_relat_1(X1),k1_relat_1(X2))
| r1_tarski(k10_relat_1(X1,X0),k10_relat_1(k5_relat_1(X1,X2),k9_relat_1(X2,X0))) ) ),
inference(flattening,[],[f8059]) ).
fof(f8061,plain,
! [X0,X1] :
( ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ! [X2] :
( ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| ! [X3] :
( ~ v1_funct_1(X3)
| ~ v1_relat_1(X3)
| k5_relat_1(X1,X2) != k5_relat_1(X1,X3)
| k1_relat_1(X3) != X0
| k1_relat_1(X2) != X0
| k2_relat_1(X1) != X0
| X2 = X3 ) ) ),
inference(ennf_transformation,[],[f1095]) ).
fof(f8062,plain,
! [X0,X1] :
( ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ! [X2] :
( ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| ! [X3] :
( ~ v1_funct_1(X3)
| ~ v1_relat_1(X3)
| k5_relat_1(X1,X2) != k5_relat_1(X1,X3)
| k1_relat_1(X3) != X0
| k1_relat_1(X2) != X0
| k2_relat_1(X1) != X0
| X2 = X3 ) ) ),
inference(flattening,[],[f8061]) ).
fof(f8063,plain,
! [X0] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ! [X1] :
( ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ~ v2_funct_1(X0)
| k2_relat_1(X0) != k2_relat_1(k5_relat_1(X1,X0))
| r1_tarski(k1_relat_1(X0),k2_relat_1(X1)) ) ),
inference(ennf_transformation,[],[f985]) ).
fof(f8064,plain,
! [X0] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ! [X1] :
( ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ~ v2_funct_1(X0)
| k2_relat_1(X0) != k2_relat_1(k5_relat_1(X1,X0))
| r1_tarski(k1_relat_1(X0),k2_relat_1(X1)) ) ),
inference(flattening,[],[f8063]) ).
fof(f8065,plain,
! [X0] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ( v2_funct_1(X0)
<=> ! [X1] :
( ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ! [X2] :
( ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| k5_relat_1(X1,X0) != k5_relat_1(X2,X0)
| k1_relat_1(X1) != k1_relat_1(X2)
| ~ r1_tarski(k2_relat_1(X2),k1_relat_1(X0))
| ~ r1_tarski(k2_relat_1(X1),k1_relat_1(X0))
| X1 = X2 ) ) ) ),
inference(ennf_transformation,[],[f983]) ).
fof(f8066,plain,
! [X0] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ( v2_funct_1(X0)
<=> ! [X1] :
( ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ! [X2] :
( ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| k5_relat_1(X1,X0) != k5_relat_1(X2,X0)
| k1_relat_1(X1) != k1_relat_1(X2)
| ~ r1_tarski(k2_relat_1(X2),k1_relat_1(X0))
| ~ r1_tarski(k2_relat_1(X1),k1_relat_1(X0))
| X1 = X2 ) ) ) ),
inference(flattening,[],[f8065]) ).
fof(f8067,plain,
! [X0] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ! [X1] :
( ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| k1_relat_1(X0) != k2_relat_1(X1)
| ~ v2_funct_1(k5_relat_1(X1,X0))
| ( v2_funct_1(X0)
& v2_funct_1(X1) ) ) ),
inference(ennf_transformation,[],[f982]) ).
fof(f8068,plain,
! [X0] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ! [X1] :
( ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| k1_relat_1(X0) != k2_relat_1(X1)
| ~ v2_funct_1(k5_relat_1(X1,X0))
| ( v2_funct_1(X0)
& v2_funct_1(X1) ) ) ),
inference(flattening,[],[f8067]) ).
fof(f8069,plain,
! [X0] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ! [X1] :
( ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ~ r1_tarski(k2_relat_1(X1),k1_relat_1(X0))
| ~ v2_funct_1(k5_relat_1(X1,X0))
| v2_funct_1(X1) ) ),
inference(ennf_transformation,[],[f981]) ).
fof(f8070,plain,
! [X0] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ! [X1] :
( ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ~ r1_tarski(k2_relat_1(X1),k1_relat_1(X0))
| ~ v2_funct_1(k5_relat_1(X1,X0))
| v2_funct_1(X1) ) ),
inference(flattening,[],[f8069]) ).
fof(f8071,plain,
! [X0] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ! [X1] :
( ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ~ v2_funct_1(X1)
| ~ v2_funct_1(X0)
| v2_funct_1(k5_relat_1(X0,X1)) ) ),
inference(ennf_transformation,[],[f980]) ).
fof(f8072,plain,
! [X0] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ! [X1] :
( ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ~ v2_funct_1(X1)
| ~ v2_funct_1(X0)
| v2_funct_1(k5_relat_1(X0,X1)) ) ),
inference(flattening,[],[f8071]) ).
fof(f8073,plain,
! [X0,X1] :
( ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ? [X2] :
( v1_funct_1(X2)
& v1_relat_1(X2)
& ? [X3] :
( v1_funct_1(X3)
& v1_relat_1(X3)
& k5_relat_1(X1,X2) = k5_relat_1(X1,X3)
& k1_relat_1(X3) = X0
& k1_relat_1(X2) = X0
& X2 != X3 ) )
| ~ r1_tarski(k2_relat_1(X1),X0)
| X0 = k2_relat_1(X1) ),
inference(ennf_transformation,[],[f964]) ).
fof(f8074,plain,
! [X0,X1] :
( ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ? [X2] :
( v1_funct_1(X2)
& v1_relat_1(X2)
& ? [X3] :
( v1_funct_1(X3)
& v1_relat_1(X3)
& k5_relat_1(X1,X2) = k5_relat_1(X1,X3)
& k1_relat_1(X3) = X0
& k1_relat_1(X2) = X0
& X2 != X3 ) )
| ~ r1_tarski(k2_relat_1(X1),X0)
| X0 = k2_relat_1(X1) ),
inference(flattening,[],[f8073]) ).
fof(f8075,plain,
! [X0] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ! [X1] :
( ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| k1_relat_1(X1) != k1_relat_1(k5_relat_1(X1,X0))
| r1_tarski(k2_relat_1(X1),k1_relat_1(X0)) ) ),
inference(ennf_transformation,[],[f958]) ).
fof(f8076,plain,
! [X0] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ! [X1] :
( ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| k1_relat_1(X1) != k1_relat_1(k5_relat_1(X1,X0))
| r1_tarski(k2_relat_1(X1),k1_relat_1(X0)) ) ),
inference(flattening,[],[f8075]) ).
fof(f8077,plain,
! [X0,X1] :
( ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ! [X2] :
( ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| ~ r2_hidden(X0,k2_relat_1(k5_relat_1(X2,X1)))
| r2_hidden(X0,k2_relat_1(X1)) ) ),
inference(ennf_transformation,[],[f956]) ).
fof(f8078,plain,
! [X0,X1] :
( ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ! [X2] :
( ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| ~ r2_hidden(X0,k2_relat_1(k5_relat_1(X2,X1)))
| r2_hidden(X0,k2_relat_1(X1)) ) ),
inference(flattening,[],[f8077]) ).
fof(f8079,plain,
! [X0,X1] :
( ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ! [X2] :
( ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| ~ r2_hidden(X0,k1_relat_1(X1))
| k1_funct_1(k5_relat_1(X1,X2),X0) = k1_funct_1(X2,k1_funct_1(X1,X0)) ) ),
inference(ennf_transformation,[],[f954]) ).
fof(f8080,plain,
! [X0,X1] :
( ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ! [X2] :
( ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| ~ r2_hidden(X0,k1_relat_1(X1))
| k1_funct_1(k5_relat_1(X1,X2),X0) = k1_funct_1(X2,k1_funct_1(X1,X0)) ) ),
inference(flattening,[],[f8079]) ).
fof(f8081,plain,
! [X0,X1] :
( ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ! [X2] :
( ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| ~ r2_hidden(X0,k1_relat_1(k5_relat_1(X2,X1)))
| k1_funct_1(k5_relat_1(X2,X1),X0) = k1_funct_1(X1,k1_funct_1(X2,X0)) ) ),
inference(ennf_transformation,[],[f953]) ).
fof(f8082,plain,
! [X0,X1] :
( ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ! [X2] :
( ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| ~ r2_hidden(X0,k1_relat_1(k5_relat_1(X2,X1)))
| k1_funct_1(k5_relat_1(X2,X1),X0) = k1_funct_1(X1,k1_funct_1(X2,X0)) ) ),
inference(flattening,[],[f8081]) ).
fof(f8083,plain,
! [X0,X1] :
( ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ! [X2] :
( ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| ( r2_hidden(X0,k1_relat_1(k5_relat_1(X2,X1)))
<=> ( r2_hidden(k1_funct_1(X2,X0),k1_relat_1(X1))
& r2_hidden(X0,k1_relat_1(X2)) ) ) ) ),
inference(ennf_transformation,[],[f952]) ).
fof(f8084,plain,
! [X0,X1] :
( ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ! [X2] :
( ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| ( r2_hidden(X0,k1_relat_1(k5_relat_1(X2,X1)))
<=> ( r2_hidden(k1_funct_1(X2,X0),k1_relat_1(X1))
& r2_hidden(X0,k1_relat_1(X2)) ) ) ) ),
inference(flattening,[],[f8083]) ).
fof(f8085,plain,
! [X0] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ! [X1] :
( ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ! [X2] :
( ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| ? [X4] :
( r2_hidden(X4,k1_relat_1(X2))
& k1_funct_1(X2,X4) != k1_funct_1(X1,k1_funct_1(X0,X4)) )
| ? [X3] :
( r2_hidden(X3,k1_relat_1(X2))
<~> ( r2_hidden(k1_funct_1(X0,X3),k1_relat_1(X1))
& r2_hidden(X3,k1_relat_1(X0)) ) )
| X2 = k5_relat_1(X0,X1) ) ) ),
inference(ennf_transformation,[],[f6486]) ).
fof(f8086,plain,
! [X0] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ! [X1] :
( ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ! [X2] :
( ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| ? [X4] :
( r2_hidden(X4,k1_relat_1(X2))
& k1_funct_1(X2,X4) != k1_funct_1(X1,k1_funct_1(X0,X4)) )
| ? [X3] :
( r2_hidden(X3,k1_relat_1(X2))
<~> ( r2_hidden(k1_funct_1(X0,X3),k1_relat_1(X1))
& r2_hidden(X3,k1_relat_1(X0)) ) )
| X2 = k5_relat_1(X0,X1) ) ) ),
inference(flattening,[],[f8085]) ).
fof(f8087,plain,
! [X0,X1] :
( ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ( v1_funct_1(k5_relat_1(X0,X1))
& v1_relat_1(k5_relat_1(X0,X1)) ) ),
inference(ennf_transformation,[],[f916]) ).
fof(f8088,plain,
! [X0,X1] :
( ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ( v1_funct_1(k5_relat_1(X0,X1))
& v1_relat_1(k5_relat_1(X0,X1)) ) ),
inference(flattening,[],[f8087]) ).
fof(f8089,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| ~ v1_relat_1(X0)
| v1_relat_1(k5_relat_1(X0,X1)) ),
inference(ennf_transformation,[],[f908]) ).
fof(f8090,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| ~ v1_relat_1(X0)
| v1_relat_1(k5_relat_1(X0,X1)) ),
inference(flattening,[],[f8089]) ).
fof(f8091,plain,
! [X0] :
( ~ v1_relat_1(X0)
| ! [X1] :
( ~ v1_relat_1(X1)
| k1_relat_1(k5_relat_1(X0,X1)) = k10_relat_1(X0,k1_relat_1(X1)) ) ),
inference(ennf_transformation,[],[f892]) ).
fof(f8092,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| ! [X2] :
( ~ v1_relat_1(X2)
| k10_relat_1(k5_relat_1(X1,X2),X0) = k10_relat_1(X1,k10_relat_1(X2,X0)) ) ),
inference(ennf_transformation,[],[f891]) ).
fof(f8093,plain,
! [X0] :
( ~ v1_relat_1(X0)
| ! [X1] :
( ~ v1_relat_1(X1)
| k2_relat_1(k5_relat_1(X0,X1)) = k9_relat_1(X1,k2_relat_1(X0)) ) ),
inference(ennf_transformation,[],[f869]) ).
fof(f8094,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| ! [X2] :
( ~ v1_relat_1(X2)
| k9_relat_1(k5_relat_1(X1,X2),X0) = k9_relat_1(X2,k9_relat_1(X1,X0)) ) ),
inference(ennf_transformation,[],[f868]) ).
fof(f8095,plain,
! [X0] :
( ~ v1_relat_1(X0)
| ! [X1] :
( ~ v1_relat_1(X1)
| ~ r1_xboole_0(k2_relat_1(X0),k1_relat_1(X1))
| k5_relat_1(X0,X1) = k1_xboole_0 ) ),
inference(ennf_transformation,[],[f771]) ).
fof(f8096,plain,
! [X0] :
( ~ v1_relat_1(X0)
| ! [X1] :
( ~ v1_relat_1(X1)
| ~ r1_xboole_0(k2_relat_1(X0),k1_relat_1(X1))
| k5_relat_1(X0,X1) = k1_xboole_0 ) ),
inference(flattening,[],[f8095]) ).
fof(f8097,plain,
! [X0] :
( ~ v1_relat_1(X0)
| ( k5_relat_1(X0,k1_xboole_0) = k1_xboole_0
& k5_relat_1(k1_xboole_0,X0) = k1_xboole_0 ) ),
inference(ennf_transformation,[],[f766]) ).
fof(f8098,plain,
! [X0] :
( ~ v1_relat_1(X0)
| ! [X1] :
( ~ v1_relat_1(X1)
| ! [X2] :
( ~ v1_relat_1(X2)
| k5_relat_1(k5_relat_1(X0,X1),X2) = k5_relat_1(X0,k5_relat_1(X1,X2)) ) ) ),
inference(ennf_transformation,[],[f759]) ).
fof(f8099,plain,
! [X0] :
( ~ v1_relat_1(X0)
| ! [X1] :
( ~ v1_relat_1(X1)
| ! [X2] :
( ~ v1_relat_1(X2)
| r1_tarski(k5_relat_1(X0,k3_xboole_0(X1,X2)),k3_xboole_0(k5_relat_1(X0,X1),k5_relat_1(X0,X2))) ) ) ),
inference(ennf_transformation,[],[f756]) ).
fof(f8100,plain,
! [X0] :
( ~ v1_relat_1(X0)
| ! [X1] :
( ~ v1_relat_1(X1)
| ! [X2] :
( ~ v1_relat_1(X2)
| k5_relat_1(X0,k2_xboole_0(X1,X2)) = k2_xboole_0(k5_relat_1(X0,X1),k5_relat_1(X0,X2)) ) ) ),
inference(ennf_transformation,[],[f755]) ).
fof(f8101,plain,
! [X0] :
( ~ v1_relat_1(X0)
| ! [X1] :
( ~ v1_relat_1(X1)
| ! [X2] :
( ~ v1_relat_1(X2)
| ! [X3] :
( ~ v1_relat_1(X3)
| ~ r1_tarski(X2,X3)
| ~ r1_tarski(X0,X1)
| r1_tarski(k5_relat_1(X0,X2),k5_relat_1(X1,X3)) ) ) ) ),
inference(ennf_transformation,[],[f754]) ).
fof(f8102,plain,
! [X0] :
( ~ v1_relat_1(X0)
| ! [X1] :
( ~ v1_relat_1(X1)
| ! [X2] :
( ~ v1_relat_1(X2)
| ! [X3] :
( ~ v1_relat_1(X3)
| ~ r1_tarski(X2,X3)
| ~ r1_tarski(X0,X1)
| r1_tarski(k5_relat_1(X0,X2),k5_relat_1(X1,X3)) ) ) ) ),
inference(flattening,[],[f8101]) ).
fof(f8103,plain,
! [X0] :
( ~ v1_relat_1(X0)
| ! [X1] :
( ~ v1_relat_1(X1)
| ! [X2] :
( ~ v1_relat_1(X2)
| ~ r1_tarski(X0,X1)
| r1_tarski(k5_relat_1(X0,X2),k5_relat_1(X1,X2)) ) ) ),
inference(ennf_transformation,[],[f753]) ).
fof(f8104,plain,
! [X0] :
( ~ v1_relat_1(X0)
| ! [X1] :
( ~ v1_relat_1(X1)
| ! [X2] :
( ~ v1_relat_1(X2)
| ~ r1_tarski(X0,X1)
| r1_tarski(k5_relat_1(X0,X2),k5_relat_1(X1,X2)) ) ) ),
inference(flattening,[],[f8103]) ).
fof(f8105,plain,
! [X0] :
( ~ v1_relat_1(X0)
| ! [X1] :
( ~ v1_relat_1(X1)
| ! [X2] :
( ~ v1_relat_1(X2)
| ~ r1_tarski(X0,X1)
| r1_tarski(k5_relat_1(X2,X0),k5_relat_1(X2,X1)) ) ) ),
inference(ennf_transformation,[],[f752]) ).
fof(f8106,plain,
! [X0] :
( ~ v1_relat_1(X0)
| ! [X1] :
( ~ v1_relat_1(X1)
| ! [X2] :
( ~ v1_relat_1(X2)
| ~ r1_tarski(X0,X1)
| r1_tarski(k5_relat_1(X2,X0),k5_relat_1(X2,X1)) ) ) ),
inference(flattening,[],[f8105]) ).
fof(f8107,plain,
! [X0] :
( ~ v1_relat_1(X0)
| ! [X1] :
( ~ v1_relat_1(X1)
| ~ r1_tarski(k1_relat_1(X0),k2_relat_1(X1))
| k2_relat_1(k5_relat_1(X1,X0)) = k2_relat_1(X0) ) ),
inference(ennf_transformation,[],[f751]) ).
fof(f8108,plain,
! [X0] :
( ~ v1_relat_1(X0)
| ! [X1] :
( ~ v1_relat_1(X1)
| ~ r1_tarski(k1_relat_1(X0),k2_relat_1(X1))
| k2_relat_1(k5_relat_1(X1,X0)) = k2_relat_1(X0) ) ),
inference(flattening,[],[f8107]) ).
fof(f8109,plain,
! [X0] :
( ~ v1_relat_1(X0)
| ! [X1] :
( ~ v1_relat_1(X1)
| ~ r1_tarski(k2_relat_1(X0),k1_relat_1(X1))
| k1_relat_1(k5_relat_1(X0,X1)) = k1_relat_1(X0) ) ),
inference(ennf_transformation,[],[f750]) ).
fof(f8110,plain,
! [X0] :
( ~ v1_relat_1(X0)
| ! [X1] :
( ~ v1_relat_1(X1)
| ~ r1_tarski(k2_relat_1(X0),k1_relat_1(X1))
| k1_relat_1(k5_relat_1(X0,X1)) = k1_relat_1(X0) ) ),
inference(flattening,[],[f8109]) ).
fof(f8111,plain,
! [X0] :
( ~ v1_relat_1(X0)
| ! [X1] :
( ~ v1_relat_1(X1)
| r1_tarski(k2_relat_1(k5_relat_1(X0,X1)),k2_relat_1(X1)) ) ),
inference(ennf_transformation,[],[f749]) ).
fof(f8112,plain,
! [X0] :
( ~ v1_relat_1(X0)
| ! [X1] :
( ~ v1_relat_1(X1)
| r1_tarski(k1_relat_1(k5_relat_1(X0,X1)),k1_relat_1(X0)) ) ),
inference(ennf_transformation,[],[f748]) ).
fof(f8113,plain,
! [X0] :
( ~ v1_relat_1(X0)
| ! [X1] :
( ~ v1_relat_1(X1)
| ! [X2] :
( ~ v1_relat_1(X2)
| ( X2 = k5_relat_1(X0,X1)
<=> ! [X3,X4] :
( r2_hidden(k4_tarski(X3,X4),X2)
<=> ? [X5] :
( r2_hidden(k4_tarski(X5,X4),X1)
& r2_hidden(k4_tarski(X3,X5),X0) ) ) ) ) ) ),
inference(ennf_transformation,[],[f745]) ).
fof(f8114,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| ~ v1_xboole_0(X0)
| ( v1_relat_1(k5_relat_1(X1,X0))
& v1_xboole_0(k5_relat_1(X1,X0)) ) ),
inference(ennf_transformation,[],[f692]) ).
fof(f8115,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| ~ v1_xboole_0(X0)
| ( v1_relat_1(k5_relat_1(X1,X0))
& v1_xboole_0(k5_relat_1(X1,X0)) ) ),
inference(flattening,[],[f8114]) ).
fof(f8116,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| ~ v1_xboole_0(X0)
| ( v1_relat_1(k5_relat_1(X0,X1))
& v1_xboole_0(k5_relat_1(X0,X1)) ) ),
inference(ennf_transformation,[],[f691]) ).
fof(f8117,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| ~ v1_xboole_0(X0)
| ( v1_relat_1(k5_relat_1(X0,X1))
& v1_xboole_0(k5_relat_1(X0,X1)) ) ),
inference(flattening,[],[f8116]) ).
fof(f8118,plain,
! [X0,X1] :
( ~ m1_eqrel_1(X1,X0)
| m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(X0))) ),
inference(ennf_transformation,[],[f3446]) ).
fof(f8119,plain,
! [X0] :
( v1_xboole_0(X0)
| ! [X1] :
( ~ m1_eqrel_1(X1,X0)
| ~ v1_xboole_0(X1) ) ),
inference(ennf_transformation,[],[f3390]) ).
fof(f8120,plain,
! [X0,X1] :
( ~ m2_relset_1(X1,X0,X0)
| ( ( m2_relset_1(X1,X0,X0)
& v1_partfun1(X1,X0,X0)
& v8_relat_2(X1)
& v3_relat_2(X1) )
<=> ( k3_relat_1(X1) = X0
& v8_relat_2(X1)
& v3_relat_2(X1)
& v1_relat_2(X1) ) ) ),
inference(ennf_transformation,[],[f3410]) ).
fof(f8121,plain,
! [X0,X1,X2] :
( ~ m2_relset_1(X2,X0,X1)
| r1_tarski(k3_relat_1(X2),k2_xboole_0(X0,X1)) ),
inference(ennf_transformation,[],[f1277]) ).
fof(f8122,plain,
! [X0] :
( ~ v1_relat_1(X0)
| ( v1_relat_2(X0)
<=> r1_tarski(k6_relat_1(k3_relat_1(X0)),X0) ) ),
inference(ennf_transformation,[],[f1142]) ).
fof(f8123,plain,
! [X0] :
( ~ v1_relat_1(X0)
| k3_relat_1(X0) = k3_relat_1(k4_relat_1(X0)) ),
inference(ennf_transformation,[],[f741]) ).
fof(f8124,plain,
! [X0] :
( ~ v1_relat_1(X0)
| ! [X1] :
( ~ v1_relat_1(X1)
| r1_tarski(k3_relat_1(k3_xboole_0(X0,X1)),k3_xboole_0(k3_relat_1(X0),k3_relat_1(X1))) ) ),
inference(ennf_transformation,[],[f736]) ).
fof(f8125,plain,
! [X0] :
( ~ v1_relat_1(X0)
| ! [X1] :
( ~ v1_relat_1(X1)
| k3_relat_1(k2_xboole_0(X0,X1)) = k2_xboole_0(k3_relat_1(X0),k3_relat_1(X1)) ) ),
inference(ennf_transformation,[],[f735]) ).
fof(f8126,plain,
! [X0,X1,X2] :
( ~ v1_relat_1(X2)
| k1_tarski(k4_tarski(X0,X1)) != X2
| k3_relat_1(X2) = k2_tarski(X0,X1) ),
inference(ennf_transformation,[],[f734]) ).
fof(f8127,plain,
! [X0,X1,X2] :
( ~ v1_relat_1(X2)
| k1_tarski(k4_tarski(X0,X1)) != X2
| k3_relat_1(X2) = k2_tarski(X0,X1) ),
inference(flattening,[],[f8126]) ).
fof(f8128,plain,
! [X0] :
( ~ v1_relat_1(X0)
| ! [X1] :
( ~ v1_relat_1(X1)
| ~ r1_tarski(X0,X1)
| r1_tarski(k3_relat_1(X0),k3_relat_1(X1)) ) ),
inference(ennf_transformation,[],[f733]) ).
fof(f8129,plain,
! [X0] :
( ~ v1_relat_1(X0)
| ! [X1] :
( ~ v1_relat_1(X1)
| ~ r1_tarski(X0,X1)
| r1_tarski(k3_relat_1(X0),k3_relat_1(X1)) ) ),
inference(flattening,[],[f8128]) ).
fof(f8130,plain,
! [X0,X1,X2] :
( ~ v1_relat_1(X2)
| ~ r2_hidden(k4_tarski(X0,X1),X2)
| ( r2_hidden(X1,k3_relat_1(X2))
& r2_hidden(X0,k3_relat_1(X2)) ) ),
inference(ennf_transformation,[],[f732]) ).
fof(f8131,plain,
! [X0,X1,X2] :
( ~ v1_relat_1(X2)
| ~ r2_hidden(k4_tarski(X0,X1),X2)
| ( r2_hidden(X1,k3_relat_1(X2))
& r2_hidden(X0,k3_relat_1(X2)) ) ),
inference(flattening,[],[f8130]) ).
fof(f8132,plain,
! [X0] :
( ~ v1_relat_1(X0)
| ( r1_tarski(k2_relat_1(X0),k3_relat_1(X0))
& r1_tarski(k1_relat_1(X0),k3_relat_1(X0)) ) ),
inference(ennf_transformation,[],[f731]) ).
fof(f8133,plain,
! [X0] :
( ~ v1_relat_1(X0)
| k3_relat_1(X0) = k2_xboole_0(k1_relat_1(X0),k2_relat_1(X0)) ),
inference(ennf_transformation,[],[f730]) ).
fof(f8134,plain,
! [X0] :
( v1_xboole_0(X0)
| ! [X1] :
( ~ v1_relat_1(X1)
| ! [X2] :
( ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ( m2_filter_1(X2,X0,X1)
<=> ! [X3] :
( ~ m1_subset_1(X3,X0)
| ! [X4] :
( ~ m1_subset_1(X4,X0)
| ! [X5] :
( ~ m1_subset_1(X5,X0)
| ! [X6] :
( ~ m1_subset_1(X6,X0)
| ~ r2_hidden(k1_domain_1(X0,X0,X5,X6),X1)
| ~ r2_hidden(k1_domain_1(X0,X0,X3,X4),X1)
| r2_hidden(k1_domain_1(X0,X0,k2_binop_1(X0,X0,X0,X2,X3,X5),k2_binop_1(X0,X0,X0,X2,X4,X6)),X1) ) ) ) ) ) ) ) ),
inference(ennf_transformation,[],[f5721]) ).
fof(f8135,plain,
! [X0] :
( v1_xboole_0(X0)
| ! [X1] :
( ~ v1_relat_1(X1)
| ! [X2] :
( ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ( m2_filter_1(X2,X0,X1)
<=> ! [X3] :
( ~ m1_subset_1(X3,X0)
| ! [X4] :
( ~ m1_subset_1(X4,X0)
| ! [X5] :
( ~ m1_subset_1(X5,X0)
| ! [X6] :
( ~ m1_subset_1(X6,X0)
| ~ r2_hidden(k1_domain_1(X0,X0,X5,X6),X1)
| ~ r2_hidden(k1_domain_1(X0,X0,X3,X4),X1)
| r2_hidden(k1_domain_1(X0,X0,k2_binop_1(X0,X0,X0,X2,X3,X5),k2_binop_1(X0,X0,X0,X2,X4,X6)),X1) ) ) ) ) ) ) ) ),
inference(flattening,[],[f8134]) ).
fof(f8136,plain,
! [X0] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ! [X1] :
( ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ! [X2] :
( ~ m1_subset_1(X2,u2_cat_1(X0))
| ! [X3] :
( ~ m1_subset_1(X3,u2_cat_1(X1))
| m1_subset_1(k1_domain_1(u2_cat_1(X0),u2_cat_1(X1),X2,X3),u2_cat_1(k11_cat_2(X0,X1))) ) ) ) ),
inference(ennf_transformation,[],[f5402]) ).
fof(f8137,plain,
! [X0] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ! [X1] :
( ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ! [X2] :
( ~ m1_subset_1(X2,u2_cat_1(X0))
| ! [X3] :
( ~ m1_subset_1(X3,u2_cat_1(X1))
| m1_subset_1(k1_domain_1(u2_cat_1(X0),u2_cat_1(X1),X2,X3),u2_cat_1(k11_cat_2(X0,X1))) ) ) ) ),
inference(flattening,[],[f8136]) ).
fof(f8138,plain,
! [X0] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ! [X1] :
( ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ! [X2] :
( ~ m1_subset_1(X2,u1_cat_1(X0))
| ! [X3] :
( ~ m1_subset_1(X3,u1_cat_1(X1))
| m1_subset_1(k1_domain_1(u1_cat_1(X0),u1_cat_1(X1),X2,X3),u1_cat_1(k11_cat_2(X0,X1))) ) ) ) ),
inference(ennf_transformation,[],[f5400]) ).
fof(f8139,plain,
! [X0] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ! [X1] :
( ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ! [X2] :
( ~ m1_subset_1(X2,u1_cat_1(X0))
| ! [X3] :
( ~ m1_subset_1(X3,u1_cat_1(X1))
| m1_subset_1(k1_domain_1(u1_cat_1(X0),u1_cat_1(X1),X2,X3),u1_cat_1(k11_cat_2(X0,X1))) ) ) ) ),
inference(flattening,[],[f8138]) ).
fof(f8140,plain,
! [X0] :
( ~ l1_rlvect_1(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| k2_rlvect_1(X0,X1,X2) = k8_funct_2(k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0),u1_rlvect_1(X0),k1_domain_1(u1_struct_0(X0),u1_struct_0(X0),X1,X2)) ) ) ),
inference(ennf_transformation,[],[f4858]) ).
fof(f8141,plain,
! [X0] :
( ~ l1_rlvect_1(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| k2_rlvect_1(X0,X1,X2) = k8_funct_2(k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0),u1_rlvect_1(X0),k1_domain_1(u1_struct_0(X0),u1_struct_0(X0),X1,X2)) ) ) ),
inference(flattening,[],[f8140]) ).
fof(f8142,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v3_filter_0(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_filter_0(X1,X0)
| ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| ! [X3] :
( ~ m1_subset_1(X3,u1_struct_0(X0))
| ! [X4] :
( ~ m1_subset_1(X4,u1_struct_0(X0))
| ! [X5] :
( ~ m1_subset_1(X5,u1_struct_0(X0))
| ~ r2_hidden(k9_filter_0(X0,X4,X5),X1)
| ~ r2_hidden(k9_filter_0(X0,X2,X3),X1)
| ( r2_hidden(k9_filter_0(X0,k4_lattices(X0,X2,X4),k4_lattices(X0,X3,X5)),X1)
& r2_hidden(k9_filter_0(X0,k3_lattices(X0,X2,X4),k3_lattices(X0,X3,X5)),X1) ) ) ) ) ) ) ),
inference(ennf_transformation,[],[f5784]) ).
fof(f8143,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v3_filter_0(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_filter_0(X1,X0)
| ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| ! [X3] :
( ~ m1_subset_1(X3,u1_struct_0(X0))
| ! [X4] :
( ~ m1_subset_1(X4,u1_struct_0(X0))
| ! [X5] :
( ~ m1_subset_1(X5,u1_struct_0(X0))
| ~ r2_hidden(k9_filter_0(X0,X4,X5),X1)
| ~ r2_hidden(k9_filter_0(X0,X2,X3),X1)
| ( r2_hidden(k9_filter_0(X0,k4_lattices(X0,X2,X4),k4_lattices(X0,X3,X5)),X1)
& r2_hidden(k9_filter_0(X0,k3_lattices(X0,X2,X4),k3_lattices(X0,X3,X5)),X1) ) ) ) ) ) ) ),
inference(flattening,[],[f8142]) ).
fof(f8144,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| k9_filter_0(X0,X1,k9_filter_0(X0,X1,X2)) = X2 ) ) ),
inference(ennf_transformation,[],[f5779]) ).
fof(f8145,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| k9_filter_0(X0,X1,k9_filter_0(X0,X1,X2)) = X2 ) ) ),
inference(flattening,[],[f8144]) ).
fof(f8146,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| ! [X3] :
( ~ m1_subset_1(X3,u1_struct_0(X0))
| k9_filter_0(X0,X1,X2) != k9_filter_0(X0,X1,X3)
| X2 = X3 ) ) ) ),
inference(ennf_transformation,[],[f5778]) ).
fof(f8147,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| ! [X3] :
( ~ m1_subset_1(X3,u1_struct_0(X0))
| k9_filter_0(X0,X1,X2) != k9_filter_0(X0,X1,X3)
| X2 = X3 ) ) ) ),
inference(flattening,[],[f8146]) ).
fof(f8148,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| ( k7_lattices(X0,k9_filter_0(X0,X1,X2)) = k9_filter_0(X0,k7_lattices(X0,X1),X2)
& k7_lattices(X0,k9_filter_0(X0,X1,X2)) = k9_filter_0(X0,X1,k7_lattices(X0,X2))
& k7_lattices(X0,k9_filter_0(X0,X1,X2)) = k3_lattices(X0,k4_lattices(X0,X1,k7_lattices(X0,X2)),k4_lattices(X0,k7_lattices(X0,X1),X2))
& k7_lattices(X0,k4_filter_0(X0,X1,X2)) = k4_lattices(X0,X1,k7_lattices(X0,X2)) ) ) ) ),
inference(ennf_transformation,[],[f5777]) ).
fof(f8149,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| ( k7_lattices(X0,k9_filter_0(X0,X1,X2)) = k9_filter_0(X0,k7_lattices(X0,X1),X2)
& k7_lattices(X0,k9_filter_0(X0,X1,X2)) = k9_filter_0(X0,X1,k7_lattices(X0,X2))
& k7_lattices(X0,k9_filter_0(X0,X1,X2)) = k3_lattices(X0,k4_lattices(X0,X1,k7_lattices(X0,X2)),k4_lattices(X0,k7_lattices(X0,X1),X2))
& k7_lattices(X0,k4_filter_0(X0,X1,X2)) = k4_lattices(X0,X1,k7_lattices(X0,X2)) ) ) ) ),
inference(flattening,[],[f8148]) ).
fof(f8150,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| k9_filter_0(X0,X1,X2) = k3_lattices(X0,k4_lattices(X0,X1,X2),k4_lattices(X0,k7_lattices(X0,X1),k7_lattices(X0,X2))) ) ) ),
inference(ennf_transformation,[],[f5776]) ).
fof(f8151,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| k9_filter_0(X0,X1,X2) = k3_lattices(X0,k4_lattices(X0,X1,X2),k4_lattices(X0,k7_lattices(X0,X1),k7_lattices(X0,X2))) ) ) ),
inference(flattening,[],[f8150]) ).
fof(f8152,plain,
! [X0,X1,X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| m1_subset_1(k9_filter_0(X0,X1,X2),u1_struct_0(X0)) ),
inference(ennf_transformation,[],[f5595]) ).
fof(f8153,plain,
! [X0,X1,X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| m1_subset_1(k9_filter_0(X0,X1,X2),u1_struct_0(X0)) ),
inference(flattening,[],[f8152]) ).
fof(f8154,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v3_filter_0(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| ! [X3] :
( ~ m1_subset_1(X3,u1_struct_0(X0))
| ! [X4] :
( ~ m1_filter_0(X4,X0)
| ~ r2_hidden(k9_filter_0(X0,X2,X3),X4)
| ~ r2_hidden(k9_filter_0(X0,X1,X2),X4)
| r2_hidden(k9_filter_0(X0,X1,X3),X4) ) ) ) ) ),
inference(ennf_transformation,[],[f5568]) ).
fof(f8155,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v3_filter_0(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| ! [X3] :
( ~ m1_subset_1(X3,u1_struct_0(X0))
| ! [X4] :
( ~ m1_filter_0(X4,X0)
| ~ r2_hidden(k9_filter_0(X0,X2,X3),X4)
| ~ r2_hidden(k9_filter_0(X0,X1,X2),X4)
| r2_hidden(k9_filter_0(X0,X1,X3),X4) ) ) ) ) ),
inference(flattening,[],[f8154]) ).
fof(f8156,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| k9_filter_0(X0,X1,X2) = k9_filter_0(X0,X2,X1) ) ) ),
inference(ennf_transformation,[],[f5567]) ).
fof(f8157,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| k9_filter_0(X0,X1,X2) = k9_filter_0(X0,X2,X1) ) ) ),
inference(flattening,[],[f8156]) ).
fof(f8158,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| k9_filter_0(X0,X1,X2) = k4_lattices(X0,k4_filter_0(X0,X1,X2),k4_filter_0(X0,X2,X1)) ) ) ),
inference(ennf_transformation,[],[f5565]) ).
fof(f8159,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| k9_filter_0(X0,X1,X2) = k4_lattices(X0,k4_filter_0(X0,X1,X2),k4_filter_0(X0,X2,X1)) ) ) ),
inference(flattening,[],[f8158]) ).
fof(f8162,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| r6_binop_1(u1_struct_0(X0),u1_lattices(X0),u1_lattices(X0)) ),
inference(ennf_transformation,[],[f5661]) ).
fof(f8163,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| r6_binop_1(u1_struct_0(X0),u1_lattices(X0),u1_lattices(X0)) ),
inference(flattening,[],[f8162]) ).
fof(f8164,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ r6_binop_1(u1_struct_0(X0),u1_lattices(X0),u2_lattices(X0))
| v11_lattices(X0) ),
inference(ennf_transformation,[],[f5660]) ).
fof(f8165,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ r6_binop_1(u1_struct_0(X0),u1_lattices(X0),u2_lattices(X0))
| v11_lattices(X0) ),
inference(flattening,[],[f8164]) ).
fof(f8168,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ r6_binop_1(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0))
| v11_lattices(X0) ),
inference(ennf_transformation,[],[f5658]) ).
fof(f8169,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ r6_binop_1(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0))
| v11_lattices(X0) ),
inference(flattening,[],[f8168]) ).
fof(f8172,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| r6_binop_1(u1_struct_0(X0),u2_lattices(X0),u2_lattices(X0)) ),
inference(ennf_transformation,[],[f5656]) ).
fof(f8173,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| r6_binop_1(u1_struct_0(X0),u2_lattices(X0),u2_lattices(X0)) ),
inference(flattening,[],[f8172]) ).
fof(f8174,plain,
! [X0] :
( v1_xboole_0(X0)
| ! [X1] :
( ~ m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| ! [X2] :
( ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ v1_binop_1(X2,X0)
| ( r6_binop_1(X0,X2,X1)
<=> ! [X3] :
( ~ m1_subset_1(X3,X0)
| ! [X4] :
( ~ m1_subset_1(X4,X0)
| ! [X5] :
( ~ m1_subset_1(X5,X0)
| k2_binop_1(X0,X0,X0,X2,k2_binop_1(X0,X0,X0,X1,X3,X4),X5) = k2_binop_1(X0,X0,X0,X1,k2_binop_1(X0,X0,X0,X2,X3,X5),k2_binop_1(X0,X0,X0,X2,X4,X5)) ) ) ) ) ) ) ),
inference(ennf_transformation,[],[f2075]) ).
fof(f8175,plain,
! [X0] :
( v1_xboole_0(X0)
| ! [X1] :
( ~ m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| ! [X2] :
( ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ v1_binop_1(X2,X0)
| ( r6_binop_1(X0,X2,X1)
<=> ! [X3] :
( ~ m1_subset_1(X3,X0)
| ! [X4] :
( ~ m1_subset_1(X4,X0)
| ! [X5] :
( ~ m1_subset_1(X5,X0)
| k2_binop_1(X0,X0,X0,X2,k2_binop_1(X0,X0,X0,X1,X3,X4),X5) = k2_binop_1(X0,X0,X0,X1,k2_binop_1(X0,X0,X0,X2,X3,X5),k2_binop_1(X0,X0,X0,X2,X4,X5)) ) ) ) ) ) ) ),
inference(flattening,[],[f8174]) ).
fof(f8176,plain,
! [X0] :
( v1_xboole_0(X0)
| ! [X1] :
( ~ m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| ! [X2] :
( ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ v1_binop_1(X2,X0)
| ( r6_binop_1(X0,X2,X1)
<=> ! [X3] :
( ~ m1_subset_1(X3,X0)
| ! [X4] :
( ~ m1_subset_1(X4,X0)
| ! [X5] :
( ~ m1_subset_1(X5,X0)
| k2_binop_1(X0,X0,X0,X2,X3,k2_binop_1(X0,X0,X0,X1,X4,X5)) = k2_binop_1(X0,X0,X0,X1,k2_binop_1(X0,X0,X0,X2,X3,X4),k2_binop_1(X0,X0,X0,X2,X3,X5)) ) ) ) ) ) ) ),
inference(ennf_transformation,[],[f2074]) ).
fof(f8177,plain,
! [X0] :
( v1_xboole_0(X0)
| ! [X1] :
( ~ m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| ! [X2] :
( ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ v1_binop_1(X2,X0)
| ( r6_binop_1(X0,X2,X1)
<=> ! [X3] :
( ~ m1_subset_1(X3,X0)
| ! [X4] :
( ~ m1_subset_1(X4,X0)
| ! [X5] :
( ~ m1_subset_1(X5,X0)
| k2_binop_1(X0,X0,X0,X2,X3,k2_binop_1(X0,X0,X0,X1,X4,X5)) = k2_binop_1(X0,X0,X0,X1,k2_binop_1(X0,X0,X0,X2,X3,X4),k2_binop_1(X0,X0,X0,X2,X3,X5)) ) ) ) ) ) ) ),
inference(flattening,[],[f8176]) ).
fof(f8178,plain,
! [X0,X1] :
( ~ m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| ! [X2] :
( ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ( r6_binop_1(X0,X1,X2)
<=> ! [X3] :
( ~ m1_subset_1(X3,X0)
| ! [X4] :
( ~ m1_subset_1(X4,X0)
| ! [X5] :
( ~ m1_subset_1(X5,X0)
| ( k1_binop_1(X1,k1_binop_1(X2,X3,X4),X5) = k1_binop_1(X2,k1_binop_1(X1,X3,X5),k1_binop_1(X1,X4,X5))
& k1_binop_1(X1,X3,k1_binop_1(X2,X4,X5)) = k1_binop_1(X2,k1_binop_1(X1,X3,X4),k1_binop_1(X1,X3,X5)) ) ) ) ) ) ) ),
inference(ennf_transformation,[],[f2073]) ).
fof(f8179,plain,
! [X0,X1] :
( ~ m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| ! [X2] :
( ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ( r6_binop_1(X0,X1,X2)
<=> ! [X3] :
( ~ m1_subset_1(X3,X0)
| ! [X4] :
( ~ m1_subset_1(X4,X0)
| ! [X5] :
( ~ m1_subset_1(X5,X0)
| ( k1_binop_1(X1,k1_binop_1(X2,X3,X4),X5) = k1_binop_1(X2,k1_binop_1(X1,X3,X5),k1_binop_1(X1,X4,X5))
& k1_binop_1(X1,X3,k1_binop_1(X2,X4,X5)) = k1_binop_1(X2,k1_binop_1(X1,X3,X4),k1_binop_1(X1,X3,X5)) ) ) ) ) ) ) ),
inference(flattening,[],[f8178]) ).
fof(f8180,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| v1_xboole_0(X0)
| ? [X2] : m2_filter_1(X2,X0,X1) ),
inference(ennf_transformation,[],[f5797]) ).
fof(f8181,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| v1_xboole_0(X0)
| ? [X2] : m2_filter_1(X2,X0,X1) ),
inference(flattening,[],[f8180]) ).
fof(f8182,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| v1_xboole_0(X0)
| ! [X2] :
( ~ m2_filter_1(X2,X0,X1)
| ( m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
& v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
& v1_funct_1(X2) ) ) ),
inference(ennf_transformation,[],[f5796]) ).
fof(f8183,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| v1_xboole_0(X0)
| ! [X2] :
( ~ m2_filter_1(X2,X0,X1)
| ( m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
& v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
& v1_funct_1(X2) ) ) ),
inference(flattening,[],[f8182]) ).
fof(f8184,plain,
! [X0,X1,X2] :
( ~ m1_subset_1(X2,X0)
| ~ m1_relset_1(X1,X0,X0)
| ~ v1_partfun1(X1,X0,X0)
| ~ v8_relat_2(X1)
| ~ v3_relat_2(X1)
| v1_xboole_0(X0)
| k2_filter_1(X0,X1,X2) = k6_eqrel_1(X0,X1,X2) ),
inference(ennf_transformation,[],[f5805]) ).
fof(f8185,plain,
! [X0,X1,X2] :
( ~ m1_subset_1(X2,X0)
| ~ m1_relset_1(X1,X0,X0)
| ~ v1_partfun1(X1,X0,X0)
| ~ v8_relat_2(X1)
| ~ v3_relat_2(X1)
| v1_xboole_0(X0)
| k2_filter_1(X0,X1,X2) = k6_eqrel_1(X0,X1,X2) ),
inference(flattening,[],[f8184]) ).
fof(f8186,plain,
! [X0,X1,X2] :
( ~ m1_subset_1(X2,X0)
| ~ m1_relset_1(X1,X0,X0)
| ~ v1_partfun1(X1,X0,X0)
| ~ v8_relat_2(X1)
| ~ v3_relat_2(X1)
| v1_xboole_0(X0)
| m2_subset_1(k2_filter_1(X0,X1,X2),k1_zfmisc_1(X0),k8_eqrel_1(X0,X1)) ),
inference(ennf_transformation,[],[f5804]) ).
fof(f8187,plain,
! [X0,X1,X2] :
( ~ m1_subset_1(X2,X0)
| ~ m1_relset_1(X1,X0,X0)
| ~ v1_partfun1(X1,X0,X0)
| ~ v8_relat_2(X1)
| ~ v3_relat_2(X1)
| v1_xboole_0(X0)
| m2_subset_1(k2_filter_1(X0,X1,X2),k1_zfmisc_1(X0),k8_eqrel_1(X0,X1)) ),
inference(flattening,[],[f8186]) ).
fof(f8188,plain,
! [X0] :
( v1_xboole_0(X0)
| ! [X1] :
( ~ m2_relset_1(X1,X0,X0)
| ~ v1_partfun1(X1,X0,X0)
| ~ v8_relat_2(X1)
| ~ v3_relat_2(X1)
| ! [X2] :
( ~ m1_subset_1(X2,X0)
| ! [X3] :
( ~ m2_filter_1(X3,X0,X1)
| ~ r2_binop_1(X0,X2,X3)
| r2_binop_1(k8_eqrel_1(X0,X1),k2_filter_1(X0,X1,X2),k4_filter_1(X0,X1,X3)) ) ) ) ),
inference(ennf_transformation,[],[f5728]) ).
fof(f8189,plain,
! [X0] :
( v1_xboole_0(X0)
| ! [X1] :
( ~ m2_relset_1(X1,X0,X0)
| ~ v1_partfun1(X1,X0,X0)
| ~ v8_relat_2(X1)
| ~ v3_relat_2(X1)
| ! [X2] :
( ~ m1_subset_1(X2,X0)
| ! [X3] :
( ~ m2_filter_1(X3,X0,X1)
| ~ r2_binop_1(X0,X2,X3)
| r2_binop_1(k8_eqrel_1(X0,X1),k2_filter_1(X0,X1,X2),k4_filter_1(X0,X1,X3)) ) ) ) ),
inference(flattening,[],[f8188]) ).
fof(f8190,plain,
! [X0] :
( v1_xboole_0(X0)
| ! [X1] :
( ~ m2_relset_1(X1,X0,X0)
| ~ v1_partfun1(X1,X0,X0)
| ~ v8_relat_2(X1)
| ~ v3_relat_2(X1)
| ! [X2] :
( ~ m1_subset_1(X2,X0)
| ! [X3] :
( ~ m2_filter_1(X3,X0,X1)
| ~ r1_binop_1(X0,X2,X3)
| r1_binop_1(k8_eqrel_1(X0,X1),k2_filter_1(X0,X1,X2),k4_filter_1(X0,X1,X3)) ) ) ) ),
inference(ennf_transformation,[],[f5727]) ).
fof(f8191,plain,
! [X0] :
( v1_xboole_0(X0)
| ! [X1] :
( ~ m2_relset_1(X1,X0,X0)
| ~ v1_partfun1(X1,X0,X0)
| ~ v8_relat_2(X1)
| ~ v3_relat_2(X1)
| ! [X2] :
( ~ m1_subset_1(X2,X0)
| ! [X3] :
( ~ m2_filter_1(X3,X0,X1)
| ~ r1_binop_1(X0,X2,X3)
| r1_binop_1(k8_eqrel_1(X0,X1),k2_filter_1(X0,X1,X2),k4_filter_1(X0,X1,X3)) ) ) ) ),
inference(flattening,[],[f8190]) ).
fof(f8192,plain,
! [X0] :
( ~ l1_rlvect_1(X0)
| v3_struct_0(X0)
| ( v3_rlvect_1(X0)
<=> ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| k1_binop_1(u1_rlvect_1(X0),X1,X2) = k1_binop_1(u1_rlvect_1(X0),X2,X1) ) ) ) ),
inference(ennf_transformation,[],[f5311]) ).
fof(f8193,plain,
! [X0] :
( ~ l1_rlvect_1(X0)
| v3_struct_0(X0)
| ( v3_rlvect_1(X0)
<=> ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| k1_binop_1(u1_rlvect_1(X0),X1,X2) = k1_binop_1(u1_rlvect_1(X0),X2,X1) ) ) ) ),
inference(flattening,[],[f8192]) ).
fof(f8194,plain,
! [X0] :
( ~ l1_rlvect_1(X0)
| v3_struct_0(X0)
| ( v4_rlvect_1(X0)
<=> ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| ! [X3] :
( ~ m1_subset_1(X3,u1_struct_0(X0))
| k1_binop_1(u1_rlvect_1(X0),k1_binop_1(u1_rlvect_1(X0),X1,X2),X3) = k1_binop_1(u1_rlvect_1(X0),X1,k1_binop_1(u1_rlvect_1(X0),X2,X3)) ) ) ) ) ),
inference(ennf_transformation,[],[f5310]) ).
fof(f8195,plain,
! [X0] :
( ~ l1_rlvect_1(X0)
| v3_struct_0(X0)
| ( v4_rlvect_1(X0)
<=> ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| ! [X3] :
( ~ m1_subset_1(X3,u1_struct_0(X0))
| k1_binop_1(u1_rlvect_1(X0),k1_binop_1(u1_rlvect_1(X0),X1,X2),X3) = k1_binop_1(u1_rlvect_1(X0),X1,k1_binop_1(u1_rlvect_1(X0),X2,X3)) ) ) ) ) ),
inference(flattening,[],[f8194]) ).
fof(f8196,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ m1_subset_1(X5,X1)
| ~ m1_subset_1(X4,X0)
| ~ m1_relset_1(X3,k2_zfmisc_1(X0,X1),X2)
| ~ v1_funct_2(X3,k2_zfmisc_1(X0,X1),X2)
| ~ v1_funct_1(X3)
| v1_xboole_0(X1)
| v1_xboole_0(X0)
| k2_binop_1(X0,X1,X2,X3,X4,X5) = k1_binop_1(X3,X4,X5) ),
inference(ennf_transformation,[],[f2092]) ).
fof(f8197,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ m1_subset_1(X5,X1)
| ~ m1_subset_1(X4,X0)
| ~ m1_relset_1(X3,k2_zfmisc_1(X0,X1),X2)
| ~ v1_funct_2(X3,k2_zfmisc_1(X0,X1),X2)
| ~ v1_funct_1(X3)
| v1_xboole_0(X1)
| v1_xboole_0(X0)
| k2_binop_1(X0,X1,X2,X3,X4,X5) = k1_binop_1(X3,X4,X5) ),
inference(flattening,[],[f8196]) ).
fof(f8198,plain,
! [X0,X1] :
( ~ m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| ( v2_binop_1(X1,X0)
<=> ! [X2] :
( ~ m1_subset_1(X2,X0)
| ! [X3] :
( ~ m1_subset_1(X3,X0)
| ! [X4] :
( ~ m1_subset_1(X4,X0)
| k1_binop_1(X1,X2,k1_binop_1(X1,X3,X4)) = k1_binop_1(X1,k1_binop_1(X1,X2,X3),X4) ) ) ) ) ),
inference(ennf_transformation,[],[f2044]) ).
fof(f8199,plain,
! [X0,X1] :
( ~ m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| ( v2_binop_1(X1,X0)
<=> ! [X2] :
( ~ m1_subset_1(X2,X0)
| ! [X3] :
( ~ m1_subset_1(X3,X0)
| ! [X4] :
( ~ m1_subset_1(X4,X0)
| k1_binop_1(X1,X2,k1_binop_1(X1,X3,X4)) = k1_binop_1(X1,k1_binop_1(X1,X2,X3),X4) ) ) ) ) ),
inference(flattening,[],[f8198]) ).
fof(f8200,plain,
! [X0,X1] :
( ~ m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| ( v1_binop_1(X1,X0)
<=> ! [X2] :
( ~ m1_subset_1(X2,X0)
| ! [X3] :
( ~ m1_subset_1(X3,X0)
| k1_binop_1(X1,X2,X3) = k1_binop_1(X1,X3,X2) ) ) ) ),
inference(ennf_transformation,[],[f2043]) ).
fof(f8201,plain,
! [X0,X1] :
( ~ m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| ( v1_binop_1(X1,X0)
<=> ! [X2] :
( ~ m1_subset_1(X2,X0)
| ! [X3] :
( ~ m1_subset_1(X3,X0)
| k1_binop_1(X1,X2,X3) = k1_binop_1(X1,X3,X2) ) ) ) ),
inference(flattening,[],[f8200]) ).
fof(f8202,plain,
! [X0] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ! [X1,X2] : k1_binop_1(X0,X1,X2) = k1_funct_1(X0,k4_tarski(X1,X2)) ),
inference(ennf_transformation,[],[f2040]) ).
fof(f8203,plain,
! [X0] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ! [X1,X2] : k1_binop_1(X0,X1,X2) = k1_funct_1(X0,k4_tarski(X1,X2)) ),
inference(flattening,[],[f8202]) ).
fof(f8204,plain,
! [X0,X1,X2] :
( ~ m1_relset_1(X1,X0,X0)
| ~ v1_partfun1(X1,X0,X0)
| ~ v3_relat_2(X1)
| ~ v1_relat_2(X1)
| m1_subset_1(k6_eqrel_1(X0,X1,X2),k1_zfmisc_1(X0)) ),
inference(ennf_transformation,[],[f3464]) ).
fof(f8205,plain,
! [X0,X1,X2] :
( ~ m1_relset_1(X1,X0,X0)
| ~ v1_partfun1(X1,X0,X0)
| ~ v3_relat_2(X1)
| ~ v1_relat_2(X1)
| m1_subset_1(k6_eqrel_1(X0,X1,X2),k1_zfmisc_1(X0)) ),
inference(flattening,[],[f8204]) ).
fof(f8206,plain,
! [X0,X1,X2] :
( ~ m2_relset_1(X2,X0,X0)
| ~ v1_partfun1(X2,X0,X0)
| ~ v8_relat_2(X2)
| ~ v3_relat_2(X2)
| ! [X3] :
( ~ r2_hidden(X3,X0)
| ( r2_hidden(k4_tarski(X3,X1),X2)
<=> k6_eqrel_1(X0,X2,X3) = k6_eqrel_1(X0,X2,X1) ) ) ),
inference(ennf_transformation,[],[f3443]) ).
fof(f8207,plain,
! [X0,X1,X2] :
( ~ m2_relset_1(X2,X0,X0)
| ~ v1_partfun1(X2,X0,X0)
| ~ v8_relat_2(X2)
| ~ v3_relat_2(X2)
| ! [X3] :
( ~ r2_hidden(X3,X0)
| ( r2_hidden(k4_tarski(X3,X1),X2)
<=> k6_eqrel_1(X0,X2,X3) = k6_eqrel_1(X0,X2,X1) ) ) ),
inference(flattening,[],[f8206]) ).
fof(f8208,plain,
! [X0,X1] :
( ~ r2_hidden(X1,X0)
| k6_eqrel_1(X0,k6_partfun1(X0),X1) = k1_tarski(X1) ),
inference(ennf_transformation,[],[f3430]) ).
fof(f8209,plain,
! [X0,X1] :
( ~ m2_relset_1(X1,X0,X0)
| ~ v1_partfun1(X1,X0,X0)
| ~ v8_relat_2(X1)
| ~ v3_relat_2(X1)
| ! [X2,X3] :
( r1_xboole_0(k6_eqrel_1(X0,X1,X2),k6_eqrel_1(X0,X1,X3))
| k6_eqrel_1(X0,X1,X2) = k6_eqrel_1(X0,X1,X3)
| ~ r2_hidden(X3,X0)
| ~ r2_hidden(X2,X0) ) ),
inference(ennf_transformation,[],[f3429]) ).
fof(f8210,plain,
! [X0,X1] :
( ~ m2_relset_1(X1,X0,X0)
| ~ v1_partfun1(X1,X0,X0)
| ~ v8_relat_2(X1)
| ~ v3_relat_2(X1)
| ! [X2,X3] :
( r1_xboole_0(k6_eqrel_1(X0,X1,X2),k6_eqrel_1(X0,X1,X3))
| k6_eqrel_1(X0,X1,X2) = k6_eqrel_1(X0,X1,X3)
| ~ r2_hidden(X3,X0)
| ~ r2_hidden(X2,X0) ) ),
inference(flattening,[],[f8209]) ).
fof(f8211,plain,
! [X0,X1,X2] :
( ~ m2_relset_1(X2,X0,X0)
| ~ v1_partfun1(X2,X0,X0)
| ~ v8_relat_2(X2)
| ~ v3_relat_2(X2)
| ! [X3] :
( ~ r2_hidden(X3,X0)
| ( r2_hidden(X1,k6_eqrel_1(X0,X2,X3))
<=> k6_eqrel_1(X0,X2,X3) = k6_eqrel_1(X0,X2,X1) ) ) ),
inference(ennf_transformation,[],[f3428]) ).
fof(f8212,plain,
! [X0,X1,X2] :
( ~ m2_relset_1(X2,X0,X0)
| ~ v1_partfun1(X2,X0,X0)
| ~ v8_relat_2(X2)
| ~ v3_relat_2(X2)
| ! [X3] :
( ~ r2_hidden(X3,X0)
| ( r2_hidden(X1,k6_eqrel_1(X0,X2,X3))
<=> k6_eqrel_1(X0,X2,X3) = k6_eqrel_1(X0,X2,X1) ) ) ),
inference(flattening,[],[f8211]) ).
fof(f8213,plain,
! [X0,X1,X2,X3,X4] :
( ~ m2_relset_1(X4,X0,X0)
| ~ v1_partfun1(X4,X0,X0)
| ~ v8_relat_2(X4)
| ~ v3_relat_2(X4)
| ~ v1_relat_2(X4)
| ~ r2_hidden(X3,k6_eqrel_1(X0,X4,X2))
| ~ r2_hidden(X1,k6_eqrel_1(X0,X4,X2))
| r2_hidden(k4_tarski(X1,X3),X4) ),
inference(ennf_transformation,[],[f3427]) ).
fof(f8214,plain,
! [X0,X1,X2,X3,X4] :
( ~ m2_relset_1(X4,X0,X0)
| ~ v1_partfun1(X4,X0,X0)
| ~ v8_relat_2(X4)
| ~ v3_relat_2(X4)
| ~ v1_relat_2(X4)
| ~ r2_hidden(X3,k6_eqrel_1(X0,X4,X2))
| ~ r2_hidden(X1,k6_eqrel_1(X0,X4,X2))
| r2_hidden(k4_tarski(X1,X3),X4) ),
inference(flattening,[],[f8213]) ).
fof(f8215,plain,
! [X0,X1] :
( ~ m2_relset_1(X1,X0,X0)
| ~ v1_partfun1(X1,X0,X0)
| ~ v3_relat_2(X1)
| ~ v1_relat_2(X1)
| ! [X2] :
( ? [X3] : r2_hidden(X2,k6_eqrel_1(X0,X1,X3))
| ~ r2_hidden(X2,X0) ) ),
inference(ennf_transformation,[],[f3426]) ).
fof(f8216,plain,
! [X0,X1] :
( ~ m2_relset_1(X1,X0,X0)
| ~ v1_partfun1(X1,X0,X0)
| ~ v3_relat_2(X1)
| ~ v1_relat_2(X1)
| ! [X2] :
( ? [X3] : r2_hidden(X2,k6_eqrel_1(X0,X1,X3))
| ~ r2_hidden(X2,X0) ) ),
inference(flattening,[],[f8215]) ).
fof(f8217,plain,
! [X0,X1] :
( ~ m2_relset_1(X1,X0,X0)
| ~ v1_partfun1(X1,X0,X0)
| ~ v3_relat_2(X1)
| ~ v1_relat_2(X1)
| ! [X2] :
( ~ r2_hidden(X2,X0)
| r2_hidden(X2,k6_eqrel_1(X0,X1,X2)) ) ),
inference(ennf_transformation,[],[f3425]) ).
fof(f8218,plain,
! [X0,X1] :
( ~ m2_relset_1(X1,X0,X0)
| ~ v1_partfun1(X1,X0,X0)
| ~ v3_relat_2(X1)
| ~ v1_relat_2(X1)
| ! [X2] :
( ~ r2_hidden(X2,X0)
| r2_hidden(X2,k6_eqrel_1(X0,X1,X2)) ) ),
inference(flattening,[],[f8217]) ).
fof(f8219,plain,
! [X0,X1,X2,X3] :
( ~ m2_relset_1(X3,X0,X0)
| ~ v1_partfun1(X3,X0,X0)
| ~ v3_relat_2(X3)
| ~ v1_relat_2(X3)
| ( r2_hidden(X1,k6_eqrel_1(X0,X3,X2))
<=> r2_hidden(k4_tarski(X1,X2),X3) ) ),
inference(ennf_transformation,[],[f3424]) ).
fof(f8220,plain,
! [X0,X1,X2,X3] :
( ~ m2_relset_1(X3,X0,X0)
| ~ v1_partfun1(X3,X0,X0)
| ~ v3_relat_2(X3)
| ~ v1_relat_2(X3)
| ( r2_hidden(X1,k6_eqrel_1(X0,X3,X2))
<=> r2_hidden(k4_tarski(X1,X2),X3) ) ),
inference(flattening,[],[f8219]) ).
fof(f8221,plain,
! [X0] :
( ? [X1] :
( ! [X2,X3,X4,X5,X6] :
( ~ r2_hidden(X6,X1)
| ~ r2_hidden(X5,X6)
| ~ r2_hidden(X4,X5)
| ~ r2_hidden(X3,X4)
| ~ r2_hidden(X2,X3)
| r1_xboole_0(X2,X0) )
& r2_hidden(X1,X0) )
| k1_xboole_0 = X0 ),
inference(ennf_transformation,[],[f1566]) ).
fof(f8222,plain,
! [X0] :
( ? [X1] :
( ! [X2,X3,X4,X5,X6] :
( ~ r2_hidden(X6,X1)
| ~ r2_hidden(X5,X6)
| ~ r2_hidden(X4,X5)
| ~ r2_hidden(X3,X4)
| ~ r2_hidden(X2,X3)
| r1_xboole_0(X2,X0) )
& r2_hidden(X1,X0) )
| k1_xboole_0 = X0 ),
inference(flattening,[],[f8221]) ).
fof(f8223,plain,
! [X0] :
( ? [X1] :
( ! [X2,X3,X4,X5] :
( ~ r2_hidden(X5,X1)
| ~ r2_hidden(X4,X5)
| ~ r2_hidden(X3,X4)
| ~ r2_hidden(X2,X3)
| r1_xboole_0(X2,X0) )
& r2_hidden(X1,X0) )
| k1_xboole_0 = X0 ),
inference(ennf_transformation,[],[f1565]) ).
fof(f8224,plain,
! [X0] :
( ? [X1] :
( ! [X2,X3,X4,X5] :
( ~ r2_hidden(X5,X1)
| ~ r2_hidden(X4,X5)
| ~ r2_hidden(X3,X4)
| ~ r2_hidden(X2,X3)
| r1_xboole_0(X2,X0) )
& r2_hidden(X1,X0) )
| k1_xboole_0 = X0 ),
inference(flattening,[],[f8223]) ).
fof(f8225,plain,
! [X0] :
( ? [X1] :
( ! [X2,X3,X4] :
( ~ r2_hidden(X4,X1)
| ~ r2_hidden(X3,X4)
| ~ r2_hidden(X2,X3)
| r1_xboole_0(X2,X0) )
& r2_hidden(X1,X0) )
| k1_xboole_0 = X0 ),
inference(ennf_transformation,[],[f1564]) ).
fof(f8226,plain,
! [X0] :
( ? [X1] :
( ! [X2,X3,X4] :
( ~ r2_hidden(X4,X1)
| ~ r2_hidden(X3,X4)
| ~ r2_hidden(X2,X3)
| r1_xboole_0(X2,X0) )
& r2_hidden(X1,X0) )
| k1_xboole_0 = X0 ),
inference(flattening,[],[f8225]) ).
fof(f8227,plain,
! [X0] :
( ? [X1] :
( ! [X2,X3] :
( ~ r2_hidden(X3,X1)
| ~ r2_hidden(X2,X3)
| r1_xboole_0(X2,X0) )
& r2_hidden(X1,X0) )
| k1_xboole_0 = X0 ),
inference(ennf_transformation,[],[f1563]) ).
fof(f8228,plain,
! [X0] :
( ? [X1] :
( ! [X2,X3] :
( ~ r2_hidden(X3,X1)
| ~ r2_hidden(X2,X3)
| r1_xboole_0(X2,X0) )
& r2_hidden(X1,X0) )
| k1_xboole_0 = X0 ),
inference(flattening,[],[f8227]) ).
fof(f8229,plain,
! [X0] :
( ? [X1] :
( ! [X2] :
( ~ r2_hidden(X2,X1)
| r1_xboole_0(X2,X0) )
& r2_hidden(X1,X0) )
| k1_xboole_0 = X0 ),
inference(ennf_transformation,[],[f1562]) ).
fof(f8230,plain,
! [X0] :
( ? [X1] :
( r1_xboole_0(X1,X0)
& r2_hidden(X1,X0) )
| k1_xboole_0 = X0 ),
inference(ennf_transformation,[],[f1561]) ).
fof(f8231,plain,
! [X0,X1,X2] :
( ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| ~ v2_funct_1(X2)
| ~ r1_xboole_0(X0,X1)
| r1_xboole_0(k9_relat_1(X2,X0),k9_relat_1(X2,X1)) ),
inference(ennf_transformation,[],[f1063]) ).
fof(f8232,plain,
! [X0,X1,X2] :
( ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| ~ v2_funct_1(X2)
| ~ r1_xboole_0(X0,X1)
| r1_xboole_0(k9_relat_1(X2,X0),k9_relat_1(X2,X1)) ),
inference(flattening,[],[f8231]) ).
fof(f8233,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| ( k10_relat_1(X1,X0) = k1_xboole_0
<=> r1_xboole_0(k2_relat_1(X1),X0) ) ),
inference(ennf_transformation,[],[f883]) ).
fof(f8234,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| ( k9_relat_1(X1,X0) = k1_xboole_0
<=> r1_xboole_0(k1_relat_1(X1),X0) ) ),
inference(ennf_transformation,[],[f860]) ).
fof(f8235,plain,
! [X0,X1,X2] :
( ? [X3] :
( r2_hidden(X3,X1)
& ~ r1_xboole_0(X3,X2) )
| ~ r1_tarski(X2,k3_tarski(k2_xboole_0(X0,X1)))
| r1_tarski(X2,k3_tarski(X0)) ),
inference(ennf_transformation,[],[f655]) ).
fof(f8236,plain,
! [X0,X1,X2] :
( ? [X3] :
( r2_hidden(X3,X1)
& ~ r1_xboole_0(X3,X2) )
| ~ r1_tarski(X2,k3_tarski(k2_xboole_0(X0,X1)))
| r1_tarski(X2,k3_tarski(X0)) ),
inference(flattening,[],[f8235]) ).
fof(f8237,plain,
! [X0,X1,X2,X3] :
( X0 = X1
| ( r1_xboole_0(k2_zfmisc_1(X2,k1_tarski(X0)),k2_zfmisc_1(X3,k1_tarski(X1)))
& r1_xboole_0(k2_zfmisc_1(k1_tarski(X0),X2),k2_zfmisc_1(k1_tarski(X1),X3)) ) ),
inference(ennf_transformation,[],[f456]) ).
fof(f8238,plain,
! [X0,X1,X2,X3] :
( ( ~ r1_xboole_0(X2,X3)
& ~ r1_xboole_0(X0,X1) )
| r1_xboole_0(k2_zfmisc_1(X0,X2),k2_zfmisc_1(X1,X3)) ),
inference(ennf_transformation,[],[f452]) ).
fof(f8239,plain,
! [X0,X1] :
( ? [X2,X3] :
( r2_hidden(X3,k2_xboole_0(X0,X1))
& r2_hidden(X2,k2_xboole_0(X0,X1))
& ~ r1_xboole_0(X2,X3)
& X2 != X3 )
| k3_tarski(k3_xboole_0(X0,X1)) = k3_xboole_0(k3_tarski(X0),k3_tarski(X1)) ),
inference(ennf_transformation,[],[f426]) ).
fof(f8240,plain,
! [X0,X1] :
( ? [X2,X3] :
( r2_hidden(X3,k2_xboole_0(X0,X1))
& r2_hidden(X2,k2_xboole_0(X0,X1))
& ~ r1_xboole_0(X2,X3)
& X2 != X3 )
| k3_tarski(k3_xboole_0(X0,X1)) = k3_xboole_0(k3_tarski(X0),k3_tarski(X1)) ),
inference(flattening,[],[f8239]) ).
fof(f8241,plain,
! [X0,X1] :
( ? [X2] :
( r2_hidden(X2,X0)
& ~ r1_xboole_0(X2,X1) )
| r1_xboole_0(k3_tarski(X0),X1) ),
inference(ennf_transformation,[],[f423]) ).
fof(f8242,plain,
! [X0,X1,X2] :
( r1_xboole_0(k2_tarski(X0,X2),X1)
| r2_hidden(X2,X1)
| r2_hidden(X0,X1) ),
inference(ennf_transformation,[],[f382]) ).
fof(f8243,plain,
! [X0,X1] :
( r2_hidden(X0,X1)
| r1_xboole_0(k1_tarski(X0),X1) ),
inference(ennf_transformation,[],[f381]) ).
fof(f8244,plain,
! [X0,X1,X2] :
( ~ r2_hidden(X0,X2)
| ~ r1_xboole_0(k2_tarski(X0,X1),X2) ),
inference(ennf_transformation,[],[f380]) ).
fof(f8246,plain,
! [X0,X1] :
( X0 = X1
| r1_xboole_0(k1_tarski(X0),k1_tarski(X1)) ),
inference(ennf_transformation,[],[f342]) ).
fof(f8247,plain,
! [X0,X1] :
( X0 != X1
| ~ r1_xboole_0(k1_tarski(X0),k1_tarski(X1)) ),
inference(ennf_transformation,[],[f341]) ).
fof(f8248,plain,
! [X0,X1,X2,X3] :
( ~ r1_xboole_0(X2,X3)
| ~ r1_xboole_0(X1,X3)
| ~ r1_xboole_0(X0,X3)
| r1_xboole_0(k2_xboole_0(k2_xboole_0(X0,X1),X2),X3) ),
inference(ennf_transformation,[],[f183]) ).
fof(f8249,plain,
! [X0,X1,X2,X3] :
( ~ r1_xboole_0(X2,X3)
| ~ r1_xboole_0(X1,X3)
| ~ r1_xboole_0(X0,X3)
| r1_xboole_0(k2_xboole_0(k2_xboole_0(X0,X1),X2),X3) ),
inference(flattening,[],[f8248]) ).
fof(f8250,plain,
! [X0,X1,X2] :
( ~ r1_tarski(X0,k4_xboole_0(X1,X2))
| ( r1_xboole_0(X0,X2)
& r1_tarski(X0,X1) ) ),
inference(ennf_transformation,[],[f175]) ).
fof(f8252,plain,
! [X0,X1,X2] :
( ~ r1_xboole_0(X0,X1)
| k2_xboole_0(k4_xboole_0(X2,X0),X1) = k4_xboole_0(k2_xboole_0(X2,X1),X0) ),
inference(ennf_transformation,[],[f156]) ).
fof(f8253,plain,
! [X0,X1,X2] :
( ~ r1_xboole_0(X0,X2)
| ~ r1_tarski(X0,X1)
| r1_tarski(X0,k4_xboole_0(X1,X2)) ),
inference(ennf_transformation,[],[f155]) ).
fof(f8254,plain,
! [X0,X1,X2] :
( ~ r1_xboole_0(X0,X2)
| ~ r1_tarski(X0,X1)
| r1_tarski(X0,k4_xboole_0(X1,X2)) ),
inference(flattening,[],[f8253]) ).
fof(f8255,plain,
! [X0,X1,X2] :
( ~ r1_tarski(X0,X1)
| r1_xboole_0(X0,k4_xboole_0(X2,X1)) ),
inference(ennf_transformation,[],[f154]) ).
fof(f8256,plain,
! [X0,X1,X2] :
( ~ r1_xboole_0(X0,k4_xboole_0(X1,X2))
| ~ r1_xboole_0(X0,X2)
| r1_xboole_0(X0,X1) ),
inference(ennf_transformation,[],[f153]) ).
fof(f8257,plain,
! [X0,X1,X2] :
( ~ r1_xboole_0(X0,k4_xboole_0(X1,X2))
| r1_xboole_0(X1,k4_xboole_0(X0,X2)) ),
inference(ennf_transformation,[],[f150]) ).
fof(f8258,plain,
! [X0,X1,X2] :
( ~ r1_xboole_0(X0,X1)
| r1_xboole_0(X0,k4_xboole_0(X1,X2)) ),
inference(ennf_transformation,[],[f149]) ).
fof(f8259,plain,
! [X0,X1,X2] :
( ~ r1_xboole_0(X0,X1)
| k3_xboole_0(X0,k2_xboole_0(X1,X2)) = k3_xboole_0(X0,X2) ),
inference(ennf_transformation,[],[f147]) ).
fof(f8260,plain,
! [X0,X1,X2] :
( ~ r1_xboole_0(X0,k3_xboole_0(X1,X2))
| ~ r1_tarski(X0,X2)
| r1_xboole_0(X0,X1) ),
inference(ennf_transformation,[],[f146]) ).
fof(f8261,plain,
! [X0,X1,X2] :
( ~ r1_xboole_0(X0,X1)
| r1_xboole_0(k3_xboole_0(X2,X0),k3_xboole_0(X2,X1)) ),
inference(ennf_transformation,[],[f145]) ).
fof(f8262,plain,
! [X0,X1] :
( ~ r1_xboole_0(k3_xboole_0(X0,X1),X1)
| r1_xboole_0(X0,X1) ),
inference(ennf_transformation,[],[f144]) ).
fof(f8264,plain,
! [X0,X1,X2] :
( ~ r1_xboole_0(X0,X2)
| ~ r1_tarski(X0,k2_xboole_0(X1,X2))
| r1_tarski(X0,X1) ),
inference(ennf_transformation,[],[f142]) ).
fof(f8265,plain,
! [X0,X1,X2] :
( ~ r1_xboole_0(X0,X2)
| ~ r1_tarski(X0,k2_xboole_0(X1,X2))
| r1_tarski(X0,X1) ),
inference(flattening,[],[f8264]) ).
fof(f8266,plain,
! [X0,X1,X2,X3] :
( ~ r1_xboole_0(X3,X1)
| ~ r1_xboole_0(X2,X0)
| k2_xboole_0(X0,X1) != k2_xboole_0(X2,X3)
| X2 = X1 ),
inference(ennf_transformation,[],[f141]) ).
fof(f8267,plain,
! [X0,X1,X2,X3] :
( ~ r1_xboole_0(X3,X1)
| ~ r1_xboole_0(X2,X0)
| k2_xboole_0(X0,X1) != k2_xboole_0(X2,X3)
| X2 = X1 ),
inference(flattening,[],[f8266]) ).
fof(f8268,plain,
! [X0,X1,X2] :
( ~ r1_xboole_0(X2,X1)
| ~ r1_xboole_0(X0,X1)
| k2_xboole_0(X0,X1) != k2_xboole_0(X2,X1)
| X0 = X2 ),
inference(ennf_transformation,[],[f140]) ).
fof(f8269,plain,
! [X0,X1,X2] :
( ~ r1_xboole_0(X2,X1)
| ~ r1_xboole_0(X0,X1)
| k2_xboole_0(X0,X1) != k2_xboole_0(X2,X1)
| X0 = X2 ),
inference(flattening,[],[f8268]) ).
fof(f8270,plain,
! [X0,X1,X2] :
( ( ~ r1_xboole_0(X0,k2_xboole_0(X1,X2))
| ( r1_xboole_0(X0,X2)
& r1_xboole_0(X0,X1) ) )
& ( ~ r1_xboole_0(X0,X2)
| ~ r1_xboole_0(X0,X1)
| r1_xboole_0(X0,k2_xboole_0(X1,X2)) ) ),
inference(ennf_transformation,[],[f139]) ).
fof(f8271,plain,
! [X0,X1] :
( v1_xboole_0(X1)
| ~ r1_xboole_0(X1,X0)
| ~ r1_tarski(X1,X0) ),
inference(ennf_transformation,[],[f138]) ).
fof(f8272,plain,
! [X0,X1] :
( v1_xboole_0(X1)
| ~ r1_xboole_0(X1,X0)
| ~ r1_tarski(X1,X0) ),
inference(flattening,[],[f8271]) ).
fof(f8273,plain,
! [X0,X1,X2] :
( v1_xboole_0(X2)
| ~ r1_xboole_0(X0,X1)
| ~ r1_tarski(X2,X1)
| ~ r1_tarski(X2,X0) ),
inference(ennf_transformation,[],[f137]) ).
fof(f8274,plain,
! [X0,X1,X2] :
( v1_xboole_0(X2)
| ~ r1_xboole_0(X0,X1)
| ~ r1_tarski(X2,X1)
| ~ r1_tarski(X2,X0) ),
inference(flattening,[],[f8273]) ).
fof(f8275,plain,
! [X0,X1,X2] :
( ~ r1_xboole_0(X1,X2)
| ~ r1_tarski(X0,X2)
| ~ r1_tarski(X0,X1)
| X0 = k1_xboole_0 ),
inference(ennf_transformation,[],[f136]) ).
fof(f8276,plain,
! [X0,X1,X2] :
( ~ r1_xboole_0(X1,X2)
| ~ r1_tarski(X0,X2)
| ~ r1_tarski(X0,X1)
| X0 = k1_xboole_0 ),
inference(flattening,[],[f8275]) ).
fof(f8277,plain,
! [X0] :
( ( ~ r1_xboole_0(X0,X0)
| k1_xboole_0 = X0 )
& ( k1_xboole_0 != X0
| r1_xboole_0(X0,X0) ) ),
inference(ennf_transformation,[],[f135]) ).
fof(f8278,plain,
! [X0,X1,X2,X3] :
( ~ r1_xboole_0(X1,X3)
| ~ r1_tarski(X2,X3)
| ~ r1_tarski(X0,X1)
| r1_xboole_0(X0,X2) ),
inference(ennf_transformation,[],[f133]) ).
fof(f8279,plain,
! [X0,X1,X2,X3] :
( ~ r1_xboole_0(X1,X3)
| ~ r1_tarski(X2,X3)
| ~ r1_tarski(X0,X1)
| r1_xboole_0(X0,X2) ),
inference(flattening,[],[f8278]) ).
fof(f8280,plain,
! [X0,X1,X2] :
( ~ r1_xboole_0(X1,X2)
| ~ r1_tarski(X0,X1)
| r1_xboole_0(X0,X2) ),
inference(ennf_transformation,[],[f132]) ).
fof(f8281,plain,
! [X0,X1,X2] :
( ~ r1_xboole_0(X1,X2)
| ~ r1_tarski(X0,X1)
| r1_xboole_0(X0,X2) ),
inference(flattening,[],[f8280]) ).
fof(f8282,plain,
! [X0,X1] :
( ~ r1_xboole_0(X0,X1)
| r1_xboole_0(X1,X0) ),
inference(ennf_transformation,[],[f47]) ).
fof(f8284,plain,
! [X0,X1] :
( ( ~ r1_xboole_0(X0,X1)
| ! [X3] : ~ r2_hidden(X3,k3_xboole_0(X0,X1)) )
& ( ? [X2] : r2_hidden(X2,k3_xboole_0(X0,X1))
| r1_xboole_0(X0,X1) ) ),
inference(ennf_transformation,[],[f6487]) ).
fof(f8285,plain,
! [X0,X1] :
( ( ~ r1_xboole_0(X0,X1)
| ! [X3] :
( ~ r2_hidden(X3,X1)
| ~ r2_hidden(X3,X0) ) )
& ( ? [X2] :
( r2_hidden(X2,X1)
& r2_hidden(X2,X0) )
| r1_xboole_0(X0,X1) ) ),
inference(ennf_transformation,[],[f6488]) ).
fof(f8286,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0)
| m1_subset_1(k2_tops_1(X0,X1),k1_zfmisc_1(u1_struct_0(X0))) ),
inference(ennf_transformation,[],[f4845]) ).
fof(f8287,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0)
| m1_subset_1(k2_tops_1(X0,X1),k1_zfmisc_1(u1_struct_0(X0))) ),
inference(flattening,[],[f8286]) ).
fof(f8288,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ! [X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ( v4_pre_topc(X1,X0)
<=> k2_tops_1(X0,X1) = k6_subset_1(u1_struct_0(X0),X1,k1_tops_1(X0,X1)) ) ) ),
inference(ennf_transformation,[],[f4803]) ).
fof(f8289,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ! [X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ( v4_pre_topc(X1,X0)
<=> k2_tops_1(X0,X1) = k6_subset_1(u1_struct_0(X0),X1,k1_tops_1(X0,X1)) ) ) ),
inference(flattening,[],[f8288]) ).
fof(f8290,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ! [X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ( v3_pre_topc(X1,X0)
<=> k2_tops_1(X0,X1) = k6_subset_1(u1_struct_0(X0),k6_pre_topc(X0,X1),X1) ) ) ),
inference(ennf_transformation,[],[f4802]) ).
fof(f8291,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ! [X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ( v3_pre_topc(X1,X0)
<=> k2_tops_1(X0,X1) = k6_subset_1(u1_struct_0(X0),k6_pre_topc(X0,X1),X1) ) ) ),
inference(flattening,[],[f8290]) ).
fof(f8292,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ! [X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| k2_tops_1(X0,k2_tops_1(X0,k2_tops_1(X0,X1))) = k2_tops_1(X0,k2_tops_1(X0,X1)) ) ),
inference(ennf_transformation,[],[f4801]) ).
fof(f8293,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ! [X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| k2_tops_1(X0,k2_tops_1(X0,k2_tops_1(X0,X1))) = k2_tops_1(X0,k2_tops_1(X0,X1)) ) ),
inference(flattening,[],[f8292]) ).
fof(f8294,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ! [X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| k1_tops_1(X0,X1) = k6_subset_1(u1_struct_0(X0),X1,k2_tops_1(X0,X1)) ) ),
inference(ennf_transformation,[],[f4800]) ).
fof(f8295,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ! [X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ v4_pre_topc(X1,X0)
| r1_tarski(k2_tops_1(X0,X1),X1) ) ),
inference(ennf_transformation,[],[f4795]) ).
fof(f8296,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ! [X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ v4_pre_topc(X1,X0)
| r1_tarski(k2_tops_1(X0,X1),X1) ) ),
inference(flattening,[],[f8295]) ).
fof(f8297,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ! [X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| r1_tarski(k2_tops_1(X0,k2_tops_1(X0,X1)),k2_tops_1(X0,X1)) ) ),
inference(ennf_transformation,[],[f4794]) ).
fof(f8298,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ! [X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| k2_tops_1(X0,X1) = k2_tops_1(X0,k3_subset_1(u1_struct_0(X0),X1)) ) ),
inference(ennf_transformation,[],[f4788]) ).
fof(f8299,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| ( r2_hidden(X2,k2_tops_1(X0,X1))
<=> ! [X3] :
( ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0)))
| ~ r2_hidden(X2,X3)
| ~ v3_pre_topc(X3,X0)
| ( ~ r1_xboole_0(k3_subset_1(u1_struct_0(X0),X1),X3)
& ~ r1_xboole_0(X1,X3) ) ) ) ) ) ),
inference(ennf_transformation,[],[f4787]) ).
fof(f8300,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| ( r2_hidden(X2,k2_tops_1(X0,X1))
<=> ! [X3] :
( ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0)))
| ~ r2_hidden(X2,X3)
| ~ v3_pre_topc(X3,X0)
| ( ~ r1_xboole_0(k3_subset_1(u1_struct_0(X0),X1),X3)
& ~ r1_xboole_0(X1,X3) ) ) ) ) ) ),
inference(flattening,[],[f8299]) ).
fof(f8301,plain,
! [X0] :
( v1_xboole_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(X0)))
| ! [X2] :
( ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| m1_subset_1(k3_tarski(X2),k1_zfmisc_1(X0)) ) ) ),
inference(ennf_transformation,[],[f5851]) ).
fof(f8302,plain,
! [X0] :
( ( ! [X1] :
( ~ r2_hidden(X1,X0)
| v1_finset_1(X1) )
& v1_finset_1(X0) )
<=> v1_finset_1(k3_tarski(X0)) ),
inference(ennf_transformation,[],[f2362]) ).
fof(f8303,plain,
! [X0] :
( ~ v3_ordinal1(X0)
| k3_tarski(k1_ordinal1(X0)) = X0 ),
inference(ennf_transformation,[],[f2197]) ).
fof(f8304,plain,
! [X0] :
( ? [X1] :
( r2_hidden(X1,X0)
& ~ v3_ordinal1(X1) )
| v3_ordinal1(k3_tarski(X0)) ),
inference(ennf_transformation,[],[f1223]) ).
fof(f8305,plain,
! [X0] :
( ~ v3_ordinal1(X0)
| v3_ordinal1(k3_tarski(X0)) ),
inference(ennf_transformation,[],[f1218]) ).
fof(f8306,plain,
! [X0,X1,X2] :
( ~ r2_hidden(X2,X0)
| ~ r1_tarski(k3_tarski(X0),X1)
| r1_tarski(X2,X1) ),
inference(ennf_transformation,[],[f654]) ).
fof(f8307,plain,
! [X0,X1,X2] :
( ~ r2_hidden(X2,X0)
| ~ r1_tarski(k3_tarski(X0),X1)
| r1_tarski(X2,X1) ),
inference(flattening,[],[f8306]) ).
fof(f8308,plain,
! [X0,X1] :
( ~ r1_tarski(X0,X1)
| r1_tarski(k3_tarski(X0),k3_tarski(X1)) ),
inference(ennf_transformation,[],[f420]) ).
fof(f8309,plain,
! [X0,X1] :
( ? [X2] :
( r2_hidden(X2,X0)
& ~ r1_tarski(X2,X1) )
| r1_tarski(k3_tarski(X0),X1) ),
inference(ennf_transformation,[],[f419]) ).
fof(f8310,plain,
! [X0,X1] :
( ~ r2_hidden(X0,X1)
| r1_tarski(X0,k3_tarski(X1)) ),
inference(ennf_transformation,[],[f417]) ).
fof(f8313,plain,
! [X0,X1] :
( ~ v4_membered(X1)
| ~ r2_hidden(X1,X0)
| v4_membered(k1_setfam_1(X0)) ),
inference(ennf_transformation,[],[f3107]) ).
fof(f8314,plain,
! [X0,X1] :
( ~ v4_membered(X1)
| ~ r2_hidden(X1,X0)
| v4_membered(k1_setfam_1(X0)) ),
inference(flattening,[],[f8313]) ).
fof(f8315,plain,
! [X0,X1] :
( ~ v3_membered(X1)
| ~ r2_hidden(X1,X0)
| v3_membered(k1_setfam_1(X0)) ),
inference(ennf_transformation,[],[f3106]) ).
fof(f8316,plain,
! [X0,X1] :
( ~ v3_membered(X1)
| ~ r2_hidden(X1,X0)
| v3_membered(k1_setfam_1(X0)) ),
inference(flattening,[],[f8315]) ).
fof(f8317,plain,
! [X0,X1] :
( ~ v2_membered(X1)
| ~ r2_hidden(X1,X0)
| v2_membered(k1_setfam_1(X0)) ),
inference(ennf_transformation,[],[f3105]) ).
fof(f8318,plain,
! [X0,X1] :
( ~ v2_membered(X1)
| ~ r2_hidden(X1,X0)
| v2_membered(k1_setfam_1(X0)) ),
inference(flattening,[],[f8317]) ).
fof(f8319,plain,
! [X0,X1] :
( ~ v1_membered(X1)
| ~ r2_hidden(X1,X0)
| v1_membered(k1_setfam_1(X0)) ),
inference(ennf_transformation,[],[f3104]) ).
fof(f8320,plain,
! [X0,X1] :
( ~ v1_membered(X1)
| ~ r2_hidden(X1,X0)
| v1_membered(k1_setfam_1(X0)) ),
inference(flattening,[],[f8319]) ).
fof(f8321,plain,
! [X0] :
( ? [X1] :
( r2_hidden(X1,X0)
& ~ v3_ordinal1(X1) )
| v3_ordinal1(k1_setfam_1(X0)) ),
inference(ennf_transformation,[],[f2215]) ).
fof(f8322,plain,
! [X0,X1] :
( k1_setfam_1(k2_xboole_0(X0,X1)) = k3_xboole_0(k1_setfam_1(X0),k1_setfam_1(X1))
| k1_xboole_0 = X1
| k1_xboole_0 = X0 ),
inference(ennf_transformation,[],[f600]) ).
fof(f8323,plain,
! [X0,X1,X2] :
( ~ r1_xboole_0(X0,X2)
| ~ r2_hidden(X0,X1)
| r1_xboole_0(k1_setfam_1(X1),X2) ),
inference(ennf_transformation,[],[f599]) ).
fof(f8324,plain,
! [X0,X1,X2] :
( ~ r1_xboole_0(X0,X2)
| ~ r2_hidden(X0,X1)
| r1_xboole_0(k1_setfam_1(X1),X2) ),
inference(flattening,[],[f8323]) ).
fof(f8325,plain,
! [X0,X1,X2] :
( ~ r1_tarski(X0,X2)
| ~ r2_hidden(X0,X1)
| r1_tarski(k1_setfam_1(X1),X2) ),
inference(ennf_transformation,[],[f598]) ).
fof(f8326,plain,
! [X0,X1,X2] :
( ~ r1_tarski(X0,X2)
| ~ r2_hidden(X0,X1)
| r1_tarski(k1_setfam_1(X1),X2) ),
inference(flattening,[],[f8325]) ).
fof(f8327,plain,
! [X0,X1] :
( ~ r1_tarski(X0,X1)
| r1_tarski(k1_setfam_1(X1),k1_setfam_1(X0))
| X0 = k1_xboole_0 ),
inference(ennf_transformation,[],[f597]) ).
fof(f8328,plain,
! [X0,X1] :
( ~ r1_tarski(X0,X1)
| r1_tarski(k1_setfam_1(X1),k1_setfam_1(X0))
| X0 = k1_xboole_0 ),
inference(flattening,[],[f8327]) ).
fof(f8329,plain,
! [X0,X1] :
( ? [X2] :
( r2_hidden(X2,X0)
& ~ r1_tarski(X1,X2) )
| r1_tarski(X1,k1_setfam_1(X0))
| X0 = k1_xboole_0 ),
inference(ennf_transformation,[],[f596]) ).
fof(f8330,plain,
! [X0,X1] :
( ? [X2] :
( r2_hidden(X2,X0)
& ~ r1_tarski(X1,X2) )
| r1_tarski(X1,k1_setfam_1(X0))
| X0 = k1_xboole_0 ),
inference(flattening,[],[f8329]) ).
fof(f8331,plain,
! [X0] :
( ~ r2_hidden(k1_xboole_0,X0)
| k1_setfam_1(X0) = k1_xboole_0 ),
inference(ennf_transformation,[],[f595]) ).
fof(f8332,plain,
! [X0,X1] :
( ~ r2_hidden(X0,X1)
| r1_tarski(k1_setfam_1(X1),X0) ),
inference(ennf_transformation,[],[f594]) ).
fof(f8333,plain,
! [X0,X1] :
( ( k1_xboole_0 != X0
| ( X1 = k1_setfam_1(X0)
<=> X1 = k1_xboole_0 ) )
& ( k1_xboole_0 = X0
| ( X1 = k1_setfam_1(X0)
<=> ! [X2] :
( r2_hidden(X2,X1)
<=> ! [X3] :
( ~ r2_hidden(X3,X0)
| r2_hidden(X2,X3) ) ) ) ) ),
inference(ennf_transformation,[],[f590]) ).
fof(f8334,plain,
! [X0] :
( ~ v4_ordinal2(X0)
| m1_subset_1(k2_finseq_1(X0),k1_zfmisc_1(k5_numbers)) ),
inference(ennf_transformation,[],[f3364]) ).
fof(f8335,plain,
! [X0] :
( ~ m2_subset_1(X0,k1_numbers,k5_numbers)
| ! [X1] :
( ~ v4_ordinal2(X1)
| ! [X2] :
( ~ v4_ordinal2(X2)
| ~ r2_hidden(k2_xcmplx_0(X1,X2),k2_finseq_1(k2_xcmplx_0(X0,X2)))
| ( r2_hidden(X1,k2_finseq_1(k2_xcmplx_0(X0,X2)))
& r2_hidden(X1,k2_finseq_1(X0)) )
| r1_xreal_0(X1,np__0) ) ) ),
inference(ennf_transformation,[],[f3347]) ).
fof(f8336,plain,
! [X0] :
( ~ m2_subset_1(X0,k1_numbers,k5_numbers)
| ! [X1] :
( ~ v4_ordinal2(X1)
| ! [X2] :
( ~ v4_ordinal2(X2)
| ~ r2_hidden(k2_xcmplx_0(X1,X2),k2_finseq_1(k2_xcmplx_0(X0,X2)))
| ( r2_hidden(X1,k2_finseq_1(k2_xcmplx_0(X0,X2)))
& r2_hidden(X1,k2_finseq_1(X0)) )
| r1_xreal_0(X1,np__0) ) ) ),
inference(flattening,[],[f8335]) ).
fof(f8337,plain,
! [X0] :
( ~ m2_subset_1(X0,k1_numbers,k5_numbers)
| ! [X1] :
( ~ v4_ordinal2(X1)
| ! [X2] :
( ~ v4_ordinal2(X2)
| ~ r2_hidden(X1,k2_finseq_1(X0))
| r2_hidden(k2_xcmplx_0(X1,X2),k2_finseq_1(k2_xcmplx_0(X0,X2))) ) ) ),
inference(ennf_transformation,[],[f3346]) ).
fof(f8338,plain,
! [X0] :
( ~ m2_subset_1(X0,k1_numbers,k5_numbers)
| ! [X1] :
( ~ v4_ordinal2(X1)
| ! [X2] :
( ~ v4_ordinal2(X2)
| ~ r2_hidden(X1,k2_finseq_1(X0))
| r2_hidden(k2_xcmplx_0(X1,X2),k2_finseq_1(k2_xcmplx_0(X0,X2))) ) ) ),
inference(flattening,[],[f8337]) ).
fof(f8339,plain,
! [X0] :
( ~ v4_ordinal2(X0)
| ! [X1] :
( v1_xboole_0(X1)
| ? [X2] :
( k3_finseq_1(X2) = X0
& m2_finseq_1(X2,X1) ) ) ),
inference(ennf_transformation,[],[f3278]) ).
fof(f8340,plain,
! [X0] :
( ~ v4_ordinal2(X0)
| ! [X1,X2] :
( ~ m2_finseq_1(X2,X1)
| m2_finseq_1(k7_relat_1(X2,k2_finseq_1(X0)),X1) ) ),
inference(ennf_transformation,[],[f3277]) ).
fof(f8341,plain,
! [X0] :
( ~ v4_ordinal2(X0)
| ! [X1] :
( ~ v1_finseq_1(X1)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ( v1_finseq_1(k7_relat_1(X1,k2_finseq_1(X0)))
& v1_funct_1(k7_relat_1(X1,k2_finseq_1(X0)))
& v1_relat_1(k7_relat_1(X1,k2_finseq_1(X0))) ) ) ),
inference(ennf_transformation,[],[f3272]) ).
fof(f8342,plain,
! [X0] :
( ~ v4_ordinal2(X0)
| ! [X1] :
( ~ v1_finseq_1(X1)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ( v1_finseq_1(k7_relat_1(X1,k2_finseq_1(X0)))
& v1_funct_1(k7_relat_1(X1,k2_finseq_1(X0)))
& v1_relat_1(k7_relat_1(X1,k2_finseq_1(X0))) ) ) ),
inference(flattening,[],[f8341]) ).
fof(f8343,plain,
! [X0] :
( ~ v4_ordinal2(X0)
| k2_finseq_1(X0) = k4_xboole_0(k2_finseq_1(k2_xcmplx_0(X0,np__1)),k1_tarski(k2_xcmplx_0(X0,np__1))) ),
inference(ennf_transformation,[],[f3263]) ).
fof(f8344,plain,
! [X0] :
( ~ v4_ordinal2(X0)
| k2_xboole_0(k2_finseq_1(X0),k1_tarski(k2_xcmplx_0(X0,np__1))) = k2_finseq_1(k2_xcmplx_0(X0,np__1)) ),
inference(ennf_transformation,[],[f3262]) ).
fof(f8345,plain,
! [X0] :
( ~ v4_ordinal2(X0)
| ! [X1] :
( ~ v4_ordinal2(X1)
| k2_finseq_1(X1) != k2_finseq_1(X0)
| X0 = X1 ) ),
inference(ennf_transformation,[],[f3259]) ).
fof(f8346,plain,
! [X0] :
( ~ v4_ordinal2(X0)
| ! [X1] :
( ~ v4_ordinal2(X1)
| k2_finseq_1(X1) != k2_finseq_1(X0)
| X0 = X1 ) ),
inference(flattening,[],[f8345]) ).
fof(f8347,plain,
! [X0] :
( ~ v4_ordinal2(X0)
| ! [X1] :
( ~ v4_ordinal2(X1)
| ( r1_xreal_0(X0,X1)
<=> r1_tarski(k2_finseq_1(X0),k2_finseq_1(X1)) ) ) ),
inference(ennf_transformation,[],[f3258]) ).
fof(f8348,plain,
! [X0] :
( ~ v4_ordinal2(X0)
| r2_hidden(k2_xcmplx_0(X0,np__1),k2_finseq_1(k2_xcmplx_0(X0,np__1))) ),
inference(ennf_transformation,[],[f3257]) ).
fof(f8349,plain,
! [X0] :
( ~ v4_ordinal2(X0)
| r2_hidden(X0,k2_finseq_1(X0))
| X0 = np__0 ),
inference(ennf_transformation,[],[f3256]) ).
fof(f8350,plain,
! [X0] :
( ~ v4_ordinal2(X0)
| r2_hidden(X0,k2_finseq_1(X0))
| X0 = np__0 ),
inference(flattening,[],[f8349]) ).
fof(f8351,plain,
! [X0] :
( ~ v4_ordinal2(X0)
| ! [X1] :
( ~ v4_ordinal2(X1)
| ( r2_hidden(X0,k2_finseq_1(X1))
<=> ( r1_xreal_0(X0,X1)
& r1_xreal_0(np__1,X0) ) ) ) ),
inference(ennf_transformation,[],[f3254]) ).
fof(f8352,plain,
! [X0] :
( ~ v4_ordinal2(X0)
| v1_int_1(X0) ),
inference(ennf_transformation,[],[f2729]) ).
fof(f8353,plain,
! [X0] :
( ~ v4_ordinal2(X0)
| v1_xreal_0(X0) ),
inference(ennf_transformation,[],[f2677]) ).
fof(f8356,plain,
! [X0,X1] :
( ~ v2_membered(X1)
| ~ v2_membered(X0)
| ( v2_membered(k5_xboole_0(X0,X1))
& v1_membered(k5_xboole_0(X0,X1)) ) ),
inference(ennf_transformation,[],[f3055]) ).
fof(f8357,plain,
! [X0,X1] :
( ~ v2_membered(X1)
| ~ v2_membered(X0)
| ( v2_membered(k5_xboole_0(X0,X1))
& v1_membered(k5_xboole_0(X0,X1)) ) ),
inference(flattening,[],[f8356]) ).
fof(f8358,plain,
! [X0,X1] :
( ~ v1_membered(X1)
| ~ v1_membered(X0)
| v1_membered(k5_xboole_0(X0,X1)) ),
inference(ennf_transformation,[],[f3054]) ).
fof(f8359,plain,
! [X0,X1] :
( ~ v1_membered(X1)
| ~ v1_membered(X0)
| v1_membered(k5_xboole_0(X0,X1)) ),
inference(flattening,[],[f8358]) ).
fof(f8360,plain,
! [X0] :
( v1_xboole_0(X0)
| ? [X1] :
( m1_subset_1(X1,X0)
& ? [X2] :
( m1_subset_1(X2,X0)
& ( ~ r2_hidden(k2_xboole_0(X1,X2),X0)
| ~ r2_hidden(k5_xboole_0(X1,X2),X0) ) ) )
| v4_finsub_1(X0) ),
inference(ennf_transformation,[],[f2397]) ).
fof(f8361,plain,
! [X0] :
( v1_xboole_0(X0)
| ? [X1] :
( m1_subset_1(X1,X0)
& ? [X2] :
( m1_subset_1(X2,X0)
& ( ~ r2_hidden(k2_xboole_0(X1,X2),X0)
| ~ r2_hidden(k5_xboole_0(X1,X2),X0) ) ) )
| v4_finsub_1(X0) ),
inference(flattening,[],[f8360]) ).
fof(f8362,plain,
! [X0] :
( v1_xboole_0(X0)
| ? [X1] :
( m1_subset_1(X1,X0)
& ? [X2] :
( m1_subset_1(X2,X0)
& ( ~ r2_hidden(k3_xboole_0(X1,X2),X0)
| ~ r2_hidden(k5_xboole_0(X1,X2),X0) ) ) )
| v4_finsub_1(X0) ),
inference(ennf_transformation,[],[f2396]) ).
fof(f8363,plain,
! [X0] :
( v1_xboole_0(X0)
| ? [X1] :
( m1_subset_1(X1,X0)
& ? [X2] :
( m1_subset_1(X2,X0)
& ( ~ r2_hidden(k3_xboole_0(X1,X2),X0)
| ~ r2_hidden(k5_xboole_0(X1,X2),X0) ) ) )
| v4_finsub_1(X0) ),
inference(flattening,[],[f8362]) ).
fof(f8364,plain,
! [X0] :
( v1_xboole_0(X0)
| ? [X1] :
( m1_subset_1(X1,X0)
& ? [X2] :
( m1_subset_1(X2,X0)
& ( ~ r2_hidden(k4_xboole_0(X1,X2),X0)
| ~ r2_hidden(k5_xboole_0(X1,X2),X0) ) ) )
| v4_finsub_1(X0) ),
inference(ennf_transformation,[],[f2395]) ).
fof(f8365,plain,
! [X0] :
( v1_xboole_0(X0)
| ? [X1] :
( m1_subset_1(X1,X0)
& ? [X2] :
( m1_subset_1(X2,X0)
& ( ~ r2_hidden(k4_xboole_0(X1,X2),X0)
| ~ r2_hidden(k5_xboole_0(X1,X2),X0) ) ) )
| v4_finsub_1(X0) ),
inference(flattening,[],[f8364]) ).
fof(f8366,plain,
! [X0,X1,X2] :
( ~ v4_finsub_1(X2)
| v1_xboole_0(X2)
| ~ m1_subset_1(X1,X2)
| ~ m1_subset_1(X0,X2)
| m1_subset_1(k5_xboole_0(X0,X1),X2) ),
inference(ennf_transformation,[],[f2394]) ).
fof(f8367,plain,
! [X0,X1,X2] :
( ~ v4_finsub_1(X2)
| v1_xboole_0(X2)
| ~ m1_subset_1(X1,X2)
| ~ m1_subset_1(X0,X2)
| m1_subset_1(k5_xboole_0(X0,X1),X2) ),
inference(flattening,[],[f8366]) ).
fof(f8370,plain,
! [X0,X1] :
( ~ v1_finset_1(X1)
| ~ v1_finset_1(X0)
| v1_finset_1(k5_xboole_0(X0,X1)) ),
inference(ennf_transformation,[],[f2335]) ).
fof(f8371,plain,
! [X0,X1] :
( ~ v1_finset_1(X1)
| ~ v1_finset_1(X0)
| v1_finset_1(k5_xboole_0(X0,X1)) ),
inference(flattening,[],[f8370]) ).
fof(f8372,plain,
! [X0,X1] :
( X0 = X1
| k5_xboole_0(k1_tarski(X0),k1_tarski(X1)) = k2_tarski(X0,X1) ),
inference(ennf_transformation,[],[f354]) ).
fof(f8373,plain,
! [X0,X1,X2] :
( ~ r1_tarski(X2,X1)
| ~ r1_tarski(X0,X1)
| r1_tarski(k5_xboole_0(X0,X2),X1) ),
inference(ennf_transformation,[],[f179]) ).
fof(f8374,plain,
! [X0,X1,X2] :
( ~ r1_tarski(X2,X1)
| ~ r1_tarski(X0,X1)
| r1_tarski(k5_xboole_0(X0,X2),X1) ),
inference(flattening,[],[f8373]) ).
fof(f8375,plain,
! [X0,X1,X2] :
( ~ r1_tarski(k4_xboole_0(X1,X0),X2)
| ~ r1_tarski(k4_xboole_0(X0,X1),X2)
| r1_tarski(k5_xboole_0(X0,X1),X2) ),
inference(ennf_transformation,[],[f166]) ).
fof(f8376,plain,
! [X0,X1,X2] :
( ~ r1_tarski(k4_xboole_0(X1,X0),X2)
| ~ r1_tarski(k4_xboole_0(X0,X1),X2)
| r1_tarski(k5_xboole_0(X0,X1),X2) ),
inference(flattening,[],[f8375]) ).
fof(f8377,plain,
! [X0,X1,X2] :
( ? [X3] :
( ~ r2_hidden(X3,X0)
<~> ( r2_hidden(X3,X1)
<=> r2_hidden(X3,X2) ) )
| X0 = k5_xboole_0(X1,X2) ),
inference(ennf_transformation,[],[f40]) ).
fof(f8378,plain,
! [X0,X1,X2] :
( r2_hidden(X0,k5_xboole_0(X1,X2))
<=> ( r2_hidden(X0,X1)
<~> r2_hidden(X0,X2) ) ),
inference(ennf_transformation,[],[f39]) ).
fof(f8379,plain,
! [X0] :
( v1_xboole_0(X0)
| ! [X1,X2] :
( ~ m1_subset_1(X2,X0)
| ! [X3] :
( ~ m1_subset_1(X3,X0)
| ! [X4] :
( ~ m1_subset_1(X4,X0)
| r1_tarski(k2_zfmisc_1(k1_enumset1(X2,X3,X4),X1),k2_zfmisc_1(X0,X1)) ) ) ) ),
inference(ennf_transformation,[],[f3695]) ).
fof(f8380,plain,
! [X0,X1,X2] :
( ~ v1_xreal_0(X2)
| ~ v1_xreal_0(X1)
| ~ v1_xreal_0(X0)
| ( v2_membered(k1_enumset1(X0,X1,X2))
& v1_membered(k1_enumset1(X0,X1,X2)) ) ),
inference(ennf_transformation,[],[f3025]) ).
fof(f8381,plain,
! [X0,X1,X2] :
( ~ v1_xreal_0(X2)
| ~ v1_xreal_0(X1)
| ~ v1_xreal_0(X0)
| ( v2_membered(k1_enumset1(X0,X1,X2))
& v1_membered(k1_enumset1(X0,X1,X2)) ) ),
inference(flattening,[],[f8380]) ).
fof(f8382,plain,
! [X0,X1,X2] :
( ~ v1_xcmplx_0(X2)
| ~ v1_xcmplx_0(X1)
| ~ v1_xcmplx_0(X0)
| v1_membered(k1_enumset1(X0,X1,X2)) ),
inference(ennf_transformation,[],[f3024]) ).
fof(f8383,plain,
! [X0,X1,X2] :
( ~ v1_xcmplx_0(X2)
| ~ v1_xcmplx_0(X1)
| ~ v1_xcmplx_0(X0)
| v1_membered(k1_enumset1(X0,X1,X2)) ),
inference(flattening,[],[f8382]) ).
fof(f8384,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,X0)
| ! [X2] :
( ~ m1_subset_1(X2,X0)
| ! [X3] :
( ~ m1_subset_1(X3,X0)
| k1_xboole_0 = X0
| m1_subset_1(k1_enumset1(X1,X2,X3),k1_zfmisc_1(X0)) ) ) ),
inference(ennf_transformation,[],[f540]) ).
fof(f8385,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,X0)
| ! [X2] :
( ~ m1_subset_1(X2,X0)
| ! [X3] :
( ~ m1_subset_1(X3,X0)
| k1_xboole_0 = X0
| m1_subset_1(k1_enumset1(X1,X2,X3),k1_zfmisc_1(X0)) ) ) ),
inference(flattening,[],[f8384]) ).
fof(f8386,plain,
! [X0,X1,X2,X3] :
( X3 = k1_enumset1(X0,X1,X2)
<=> ! [X4] :
( r2_hidden(X4,X3)
<=> ( X2 = X4
| X1 = X4
| X0 = X4 ) ) ),
inference(ennf_transformation,[],[f184]) ).
fof(f8389,plain,
! [X0,X1,X2] :
( ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| ~ r2_hidden(X1,k1_relat_1(X2))
| ~ r2_hidden(X0,k1_relat_1(X2))
| k9_relat_1(X2,k2_tarski(X0,X1)) = k2_tarski(k1_funct_1(X2,X0),k1_funct_1(X2,X1)) ),
inference(ennf_transformation,[],[f1056]) ).
fof(f8390,plain,
! [X0,X1,X2] :
( ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| ~ r2_hidden(X1,k1_relat_1(X2))
| ~ r2_hidden(X0,k1_relat_1(X2))
| k9_relat_1(X2,k2_tarski(X0,X1)) = k2_tarski(k1_funct_1(X2,X0),k1_funct_1(X2,X1)) ),
inference(flattening,[],[f8389]) ).
fof(f8391,plain,
! [X0,X1,X2,X3,X4] :
( ~ v1_relat_1(X4)
| k2_tarski(k4_tarski(X0,X1),k4_tarski(X2,X3)) != X4
| ( k2_relat_1(X4) = k2_tarski(X1,X3)
& k1_relat_1(X4) = k2_tarski(X0,X2) ) ),
inference(ennf_transformation,[],[f725]) ).
fof(f8392,plain,
! [X0,X1,X2,X3,X4] :
( ~ v1_relat_1(X4)
| k2_tarski(k4_tarski(X0,X1),k4_tarski(X2,X3)) != X4
| ( k2_relat_1(X4) = k2_tarski(X1,X3)
& k1_relat_1(X4) = k2_tarski(X0,X2) ) ),
inference(flattening,[],[f8391]) ).
fof(f8393,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,X0)
| ! [X2] :
( ~ m1_subset_1(X2,X0)
| k1_xboole_0 = X0
| m1_subset_1(k2_tarski(X1,X2),k1_zfmisc_1(X0)) ) ),
inference(ennf_transformation,[],[f539]) ).
fof(f8394,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,X0)
| ! [X2] :
( ~ m1_subset_1(X2,X0)
| k1_xboole_0 = X0
| m1_subset_1(k2_tarski(X1,X2),k1_zfmisc_1(X0)) ) ),
inference(flattening,[],[f8393]) ).
fof(f8395,plain,
! [X0,X1,X2] :
( k4_xboole_0(X0,k2_tarski(X1,X2)) = k1_xboole_0
<=> ( k2_tarski(X1,X2) = X0
| k1_tarski(X2) = X0
| k1_tarski(X1) = X0
| k1_xboole_0 = X0 ) ),
inference(ennf_transformation,[],[f400]) ).
fof(f8396,plain,
! [X0,X1,X2] :
( k2_tarski(X0,X1) = k4_xboole_0(k2_tarski(X0,X1),X2)
| k1_tarski(X1) = k4_xboole_0(k2_tarski(X0,X1),X2)
| k1_tarski(X0) = k4_xboole_0(k2_tarski(X0,X1),X2)
| k1_xboole_0 = k4_xboole_0(k2_tarski(X0,X1),X2) ),
inference(ennf_transformation,[],[f399]) ).
fof(f8397,plain,
! [X0,X1,X2] :
( k2_tarski(X0,X1) != k3_xboole_0(k2_tarski(X0,X1),X2)
| r2_hidden(X0,X2) ),
inference(ennf_transformation,[],[f388]) ).
fof(f8398,plain,
! [X0,X1,X2] :
( ~ r2_hidden(X0,X1)
| k3_xboole_0(k2_tarski(X0,X2),X1) = k1_tarski(X0)
| ( X0 != X2
& r2_hidden(X2,X1) ) ),
inference(ennf_transformation,[],[f385]) ).
fof(f8399,plain,
! [X0,X1,X2] :
( ~ r2_hidden(X0,X1)
| k3_xboole_0(k2_tarski(X0,X2),X1) = k1_tarski(X0)
| ( X0 != X2
& r2_hidden(X2,X1) ) ),
inference(flattening,[],[f8398]) ).
fof(f8400,plain,
! [X0,X1,X2] :
( X0 = X1
| ~ r2_hidden(X1,X2)
| k1_tarski(X0) != k3_xboole_0(k2_tarski(X0,X1),X2) ),
inference(ennf_transformation,[],[f384]) ).
fof(f8401,plain,
! [X0,X1,X2] :
( ~ r2_hidden(X2,X1)
| ~ r2_hidden(X0,X1)
| k3_xboole_0(k2_tarski(X0,X2),X1) = k2_tarski(X0,X2) ),
inference(ennf_transformation,[],[f378]) ).
fof(f8402,plain,
! [X0,X1,X2] :
( ~ r2_hidden(X2,X1)
| ~ r2_hidden(X0,X1)
| k3_xboole_0(k2_tarski(X0,X2),X1) = k2_tarski(X0,X2) ),
inference(flattening,[],[f8401]) ).
fof(f8403,plain,
! [X0,X1,X2] :
( ~ r2_hidden(X2,X1)
| ~ r2_hidden(X0,X1)
| k2_xboole_0(k2_tarski(X0,X2),X1) = X1 ),
inference(ennf_transformation,[],[f373]) ).
fof(f8404,plain,
! [X0,X1,X2] :
( ~ r2_hidden(X2,X1)
| ~ r2_hidden(X0,X1)
| k2_xboole_0(k2_tarski(X0,X2),X1) = X1 ),
inference(flattening,[],[f8403]) ).
fof(f8405,plain,
! [X0,X1,X2] :
( ~ r1_tarski(k2_xboole_0(k2_tarski(X0,X1),X2),X2)
| r2_hidden(X0,X2) ),
inference(ennf_transformation,[],[f372]) ).
fof(f8406,plain,
! [X0,X1,X2] :
( r1_tarski(X0,k2_tarski(X1,X2))
<=> ( k2_tarski(X1,X2) = X0
| k1_tarski(X2) = X0
| k1_tarski(X1) = X0
| k1_xboole_0 = X0 ) ),
inference(ennf_transformation,[],[f367]) ).
fof(f8407,plain,
! [X0,X1,X2,X3] :
( X0 = X3
| X0 = X2
| ~ r1_tarski(k2_tarski(X0,X1),k2_tarski(X2,X3)) ),
inference(ennf_transformation,[],[f353]) ).
fof(f8408,plain,
! [X0,X1,X2] :
( ~ r1_tarski(k2_tarski(X0,X1),k1_tarski(X2))
| k2_tarski(X0,X1) = k1_tarski(X2) ),
inference(ennf_transformation,[],[f352]) ).
fof(f8409,plain,
! [X0,X1,X2] :
( ~ r1_tarski(k2_tarski(X0,X1),k1_tarski(X2))
| X0 = X2 ),
inference(ennf_transformation,[],[f351]) ).
fof(f8411,plain,
! [X0,X1] :
( X0 = X1
| k4_xboole_0(k2_tarski(X0,X1),k1_tarski(X1)) = k1_tarski(X0) ),
inference(ennf_transformation,[],[f348]) ).
fof(f8412,plain,
! [X0,X1,X2,X3] :
( X0 = X3
| X0 = X2
| k2_tarski(X0,X1) != k2_tarski(X2,X3) ),
inference(ennf_transformation,[],[f335]) ).
fof(f8413,plain,
! [X0,X1,X2] :
( k1_tarski(X0) != k2_tarski(X1,X2)
| X1 = X2 ),
inference(ennf_transformation,[],[f334]) ).
fof(f8414,plain,
! [X0,X1,X2] :
( k1_tarski(X0) != k2_tarski(X1,X2)
| X0 = X1 ),
inference(ennf_transformation,[],[f333]) ).
fof(f8415,plain,
! [X0] :
( ~ v1_int_1(X0)
| ~ r1_xreal_0(np__0,X0)
| r2_hidden(X0,k5_numbers) ),
inference(ennf_transformation,[],[f2758]) ).
fof(f8416,plain,
! [X0] :
( ~ v1_int_1(X0)
| ~ r1_xreal_0(np__0,X0)
| r2_hidden(X0,k5_numbers) ),
inference(flattening,[],[f8415]) ).
fof(f8417,plain,
! [X0] :
( ~ v1_int_1(X0)
| ( v1_xreal_0(X0)
& v1_xcmplx_0(X0) ) ),
inference(ennf_transformation,[],[f2730]) ).
fof(f8418,plain,
! [X0] :
( ~ m1_subset_1(X0,k4_numbers)
| v1_int_1(X0) ),
inference(ennf_transformation,[],[f2727]) ).
fof(f8419,plain,
! [X0,X1] :
( ~ v1_xreal_0(X1)
| ~ v1_xreal_0(X0)
| r1_xreal_0(X1,X0)
| r1_xreal_0(X0,X1) ),
inference(ennf_transformation,[],[f2724]) ).
fof(f8420,plain,
! [X0,X1] :
( ~ v1_xreal_0(X1)
| ~ v1_xreal_0(X0)
| r1_xreal_0(X1,X0)
| r1_xreal_0(X0,X1) ),
inference(flattening,[],[f8419]) ).
fof(f8421,plain,
! [X0,X1] :
( ~ v1_xreal_0(X1)
| ~ v1_xreal_0(X0)
| r1_xreal_0(X0,X0) ),
inference(ennf_transformation,[],[f2723]) ).
fof(f8422,plain,
! [X0,X1] :
( ~ v1_xreal_0(X1)
| ~ v1_xreal_0(X0)
| r1_xreal_0(X0,X0) ),
inference(flattening,[],[f8421]) ).
fof(f8423,plain,
! [X0] :
( ~ v1_membered(X0)
| ? [X1] :
( v1_xcmplx_0(X1)
& ~ r2_hidden(X1,X0) )
| X0 = k2_numbers ),
inference(ennf_transformation,[],[f3074]) ).
fof(f8424,plain,
! [X0] :
( ~ v1_membered(X0)
| ? [X1] :
( v1_xcmplx_0(X1)
& ~ r2_hidden(X1,X0) )
| X0 = k2_numbers ),
inference(flattening,[],[f8423]) ).
fof(f8425,plain,
! [X0] :
( ~ v1_xreal_0(X0)
| v1_xcmplx_0(X0) ),
inference(ennf_transformation,[],[f2678]) ).
fof(f8426,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ! [X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ! [X2] :
( ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
| r1_tarski(k1_tops_1(X0,k6_subset_1(u1_struct_0(X0),X1,X2)),k6_subset_1(u1_struct_0(X0),k1_tops_1(X0,X1),k1_tops_1(X0,X2))) ) ) ),
inference(ennf_transformation,[],[f4775]) ).
fof(f8427,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ! [X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ! [X2] :
( ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
| r1_tarski(k1_tops_1(X0,k6_subset_1(u1_struct_0(X0),X1,X2)),k6_subset_1(u1_struct_0(X0),k1_tops_1(X0,X1),k1_tops_1(X0,X2))) ) ) ),
inference(flattening,[],[f8426]) ).
fof(f8428,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ! [X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ! [X2] :
( ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
| r1_tarski(k6_subset_1(u1_struct_0(X0),k6_pre_topc(X0,X1),k6_pre_topc(X0,X2)),k6_pre_topc(X0,k6_subset_1(u1_struct_0(X0),X1,X2))) ) ) ),
inference(ennf_transformation,[],[f4756]) ).
fof(f8429,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ! [X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ! [X2] :
( ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
| r1_tarski(k6_subset_1(u1_struct_0(X0),k6_pre_topc(X0,X1),k6_pre_topc(X0,X2)),k6_pre_topc(X0,k6_subset_1(u1_struct_0(X0),X1,X2))) ) ) ),
inference(flattening,[],[f8428]) ).
fof(f8430,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ! [X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ( ( k6_subset_1(u1_struct_0(X0),k2_pre_topc(X0),X1) != k6_pre_topc(X0,k6_subset_1(u1_struct_0(X0),k2_pre_topc(X0),X1))
| ~ v2_pre_topc(X0)
| v3_pre_topc(X1,X0) )
& ( ~ v3_pre_topc(X1,X0)
| k6_pre_topc(X0,k6_subset_1(u1_struct_0(X0),k2_pre_topc(X0),X1)) = k6_subset_1(u1_struct_0(X0),k2_pre_topc(X0),X1) ) ) ) ),
inference(ennf_transformation,[],[f4683]) ).
fof(f8431,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ! [X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ( ( k6_subset_1(u1_struct_0(X0),k2_pre_topc(X0),X1) != k6_pre_topc(X0,k6_subset_1(u1_struct_0(X0),k2_pre_topc(X0),X1))
| ~ v2_pre_topc(X0)
| v3_pre_topc(X1,X0) )
& ( ~ v3_pre_topc(X1,X0)
| k6_pre_topc(X0,k6_subset_1(u1_struct_0(X0),k2_pre_topc(X0),X1)) = k6_subset_1(u1_struct_0(X0),k2_pre_topc(X0),X1) ) ) ) ),
inference(flattening,[],[f8430]) ).
fof(f8432,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ! [X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ( v4_pre_topc(X1,X0)
<=> v3_pre_topc(k6_subset_1(u1_struct_0(X0),k2_pre_topc(X0),X1),X0) ) ) ),
inference(ennf_transformation,[],[f4650]) ).
fof(f8433,plain,
! [X0] :
( ~ l1_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ! [X2] :
( ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
| ~ r1_xboole_0(X1,X2)
| k2_pre_topc(X0) != k4_subset_1(u1_struct_0(X0),X1,X2)
| X2 = k6_subset_1(u1_struct_0(X0),k2_pre_topc(X0),X1) ) ) ),
inference(ennf_transformation,[],[f4645]) ).
fof(f8434,plain,
! [X0] :
( ~ l1_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ! [X2] :
( ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
| ~ r1_xboole_0(X1,X2)
| k2_pre_topc(X0) != k4_subset_1(u1_struct_0(X0),X1,X2)
| X2 = k6_subset_1(u1_struct_0(X0),k2_pre_topc(X0),X1) ) ) ),
inference(flattening,[],[f8433]) ).
fof(f8435,plain,
! [X0] :
( ~ l1_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ! [X2] :
( ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
| k6_subset_1(u1_struct_0(X0),k2_pre_topc(X0),X1) != X2
| k2_pre_topc(X0) = k4_subset_1(u1_struct_0(X0),X1,X2) ) ) ),
inference(ennf_transformation,[],[f4644]) ).
fof(f8436,plain,
! [X0] :
( ~ l1_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ! [X2] :
( ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
| k6_subset_1(u1_struct_0(X0),k2_pre_topc(X0),X1) != X2
| k2_pre_topc(X0) = k4_subset_1(u1_struct_0(X0),X1,X2) ) ) ),
inference(flattening,[],[f8435]) ).
fof(f8437,plain,
! [X0] :
( ~ l1_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ( ( k2_pre_topc(X0) != X1
| k1_xboole_0 = k6_subset_1(u1_struct_0(X0),k2_pre_topc(X0),X1) )
& ( k1_xboole_0 != k6_subset_1(u1_struct_0(X0),k2_pre_topc(X0),X1)
| k2_pre_topc(X0) = X1 ) ) ) ),
inference(ennf_transformation,[],[f4643]) ).
fof(f8438,plain,
! [X0] :
( ~ l1_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| k6_subset_1(u1_struct_0(X0),k2_pre_topc(X0),k6_subset_1(u1_struct_0(X0),k2_pre_topc(X0),X1)) = X1 ) ),
inference(ennf_transformation,[],[f4642]) ).
fof(f8439,plain,
! [X0] :
( ~ l1_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| k3_subset_1(u1_struct_0(X0),X1) = k6_subset_1(u1_struct_0(X0),k2_pre_topc(X0),X1) ) ),
inference(ennf_transformation,[],[f4637]) ).
fof(f8440,plain,
! [X0,X1,X2] :
( ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| k6_subset_1(X0,X1,X2) = k4_xboole_0(X1,X2) ),
inference(ennf_transformation,[],[f576]) ).
fof(f8441,plain,
! [X0,X1,X2] :
( ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| k6_subset_1(X0,X1,X2) = k4_xboole_0(X1,X2) ),
inference(flattening,[],[f8440]) ).
fof(f8442,plain,
! [X0,X1,X2] :
( ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| m1_subset_1(k6_subset_1(X0,X1,X2),k1_zfmisc_1(X0)) ),
inference(ennf_transformation,[],[f575]) ).
fof(f8443,plain,
! [X0,X1,X2] :
( ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| m1_subset_1(k6_subset_1(X0,X1,X2),k1_zfmisc_1(X0)) ),
inference(flattening,[],[f8442]) ).
fof(f8444,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ! [X2] :
( ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| k3_subset_1(X0,k6_subset_1(X0,X1,X2)) = k4_subset_1(X0,k3_subset_1(X0,X1),X2) ) ),
inference(ennf_transformation,[],[f516]) ).
fof(f8445,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ! [X2] :
( ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ! [X3] :
( ~ m1_subset_1(X3,k1_zfmisc_1(X0))
| ? [X4] :
( m1_subset_1(X4,X0)
& ( r2_hidden(X4,X1)
<~> ( ~ r2_hidden(X4,X3)
& r2_hidden(X4,X2) ) ) )
| X1 = k6_subset_1(X0,X2,X3) ) ) ),
inference(ennf_transformation,[],[f500]) ).
fof(f8446,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ! [X2] :
( ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ! [X3] :
( ~ m1_subset_1(X3,k1_zfmisc_1(X0))
| ? [X4] :
( m1_subset_1(X4,X0)
& ( r2_hidden(X4,X1)
<~> ( ~ r2_hidden(X4,X3)
& r2_hidden(X4,X2) ) ) )
| X1 = k6_subset_1(X0,X2,X3) ) ) ),
inference(flattening,[],[f8445]) ).
fof(f8447,plain,
! [X0] :
( ~ v1_finseq_1(X0)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ! [X1] :
( ~ v1_finseq_1(X1)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ~ r1_tarski(X0,X1)
| r1_xreal_0(k3_finseq_1(X0),k3_finseq_1(X1)) ) ),
inference(ennf_transformation,[],[f3350]) ).
fof(f8448,plain,
! [X0] :
( ~ v1_finseq_1(X0)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ! [X1] :
( ~ v1_finseq_1(X1)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ~ r1_tarski(X0,X1)
| r1_xreal_0(k3_finseq_1(X0),k3_finseq_1(X1)) ) ),
inference(flattening,[],[f8447]) ).
fof(f8449,plain,
! [X0] :
( ~ v1_finseq_1(X0)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ! [X1] :
( ~ v1_finseq_1(X1)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ? [X2] :
( m2_subset_1(X2,k1_numbers,k5_numbers)
& r1_xreal_0(X2,k3_finseq_1(X0))
& r1_xreal_0(np__1,X2)
& k1_funct_1(X0,X2) != k1_funct_1(X1,X2) )
| k3_finseq_1(X0) != k3_finseq_1(X1)
| X0 = X1 ) ),
inference(ennf_transformation,[],[f3271]) ).
fof(f8450,plain,
! [X0] :
( ~ v1_finseq_1(X0)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ! [X1] :
( ~ v1_finseq_1(X1)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ? [X2] :
( m2_subset_1(X2,k1_numbers,k5_numbers)
& r1_xreal_0(X2,k3_finseq_1(X0))
& r1_xreal_0(np__1,X2)
& k1_funct_1(X0,X2) != k1_funct_1(X1,X2) )
| k3_finseq_1(X0) != k3_finseq_1(X1)
| X0 = X1 ) ),
inference(flattening,[],[f8449]) ).
fof(f8451,plain,
! [X0] :
( ~ m2_subset_1(X0,k1_numbers,k5_numbers)
| ! [X1] :
( ~ m2_subset_1(X1,k1_numbers,k5_numbers)
| ( r2_hidden(k1_card_1(X0),k1_card_1(X1))
<=> ~ r1_xreal_0(X1,X0) ) ) ),
inference(ennf_transformation,[],[f3201]) ).
fof(f8452,plain,
! [X0] :
( ~ m2_subset_1(X0,k1_numbers,k5_numbers)
| ! [X1] :
( ~ m2_subset_1(X1,k1_numbers,k5_numbers)
| ( r1_tarski(k1_card_1(X0),k1_card_1(X1))
<=> r1_xreal_0(X0,X1) ) ) ),
inference(ennf_transformation,[],[f3200]) ).
fof(f8453,plain,
! [X0] :
( ~ l1_rlvect_1(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m2_finseq_1(X1,u1_struct_0(X0))
| ! [X2] :
( ~ m2_subset_1(X2,k1_numbers,k5_numbers)
| ! [X3] :
( ~ m2_subset_1(X3,k1_numbers,k5_numbers)
| k3_finseq_1(X1) != X3
| ~ r2_hidden(X2,k2_finseq_1(X3))
| m1_subset_1(k1_funct_1(X1,X2),u1_struct_0(X0)) ) ) ) ),
inference(ennf_transformation,[],[f4918]) ).
fof(f8454,plain,
! [X0] :
( ~ l1_rlvect_1(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m2_finseq_1(X1,u1_struct_0(X0))
| ! [X2] :
( ~ m2_subset_1(X2,k1_numbers,k5_numbers)
| ! [X3] :
( ~ m2_subset_1(X3,k1_numbers,k5_numbers)
| k3_finseq_1(X1) != X3
| ~ r2_hidden(X2,k2_finseq_1(X3))
| m1_subset_1(k1_funct_1(X1,X2),u1_struct_0(X0)) ) ) ) ),
inference(flattening,[],[f8453]) ).
fof(f8455,plain,
! [X0] :
( ? [X1] :
( m2_subset_1(X1,k1_numbers,k5_numbers)
& r2_wellord2(X0,k2_finseq_1(X1)) )
| ~ v1_finset_1(X0) ),
inference(ennf_transformation,[],[f3341]) ).
fof(f8456,plain,
! [X0] :
( ~ m2_subset_1(X0,k1_numbers,k5_numbers)
| k1_card_1(k2_finseq_1(X0)) = k1_card_1(X0) ),
inference(ennf_transformation,[],[f3340]) ).
fof(f8457,plain,
! [X0] :
( ~ m2_subset_1(X0,k1_numbers,k5_numbers)
| r2_wellord2(k2_finseq_1(X0),X0) ),
inference(ennf_transformation,[],[f3339]) ).
fof(f8458,plain,
! [X0] :
( ~ m2_subset_1(X0,k1_numbers,k5_numbers)
| ! [X1] :
( ~ m2_subset_1(X1,k1_numbers,k5_numbers)
| ~ r2_wellord2(k2_finseq_1(X0),k2_finseq_1(X1))
| X0 = X1 ) ),
inference(ennf_transformation,[],[f3338]) ).
fof(f8459,plain,
! [X0] :
( ~ m2_subset_1(X0,k1_numbers,k5_numbers)
| ! [X1] :
( ~ m2_subset_1(X1,k1_numbers,k5_numbers)
| ~ r2_wellord2(k2_finseq_1(X0),k2_finseq_1(X1))
| X0 = X1 ) ),
inference(flattening,[],[f8458]) ).
fof(f8460,plain,
! [X0] :
( ~ v1_finseq_1(X0)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ! [X1] :
( ~ v1_finseq_1(X1)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ! [X2] :
( ~ v1_finseq_1(X2)
| ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| ( X2 = k7_finseq_1(X0,X1)
<=> ( ! [X4] :
( ~ m2_subset_1(X4,k1_numbers,k5_numbers)
| ~ r2_hidden(X4,k4_finseq_1(X1))
| k1_funct_1(X1,X4) = k1_funct_1(X2,k1_nat_1(k3_finseq_1(X0),X4)) )
& ! [X3] :
( ~ m2_subset_1(X3,k1_numbers,k5_numbers)
| ~ r2_hidden(X3,k4_finseq_1(X0))
| k1_funct_1(X2,X3) = k1_funct_1(X0,X3) )
& k4_finseq_1(X2) = k2_finseq_1(k1_nat_1(k3_finseq_1(X0),k3_finseq_1(X1))) ) ) ) ) ),
inference(ennf_transformation,[],[f6489]) ).
fof(f8461,plain,
! [X0] :
( ~ v1_finseq_1(X0)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ! [X1] :
( ~ v1_finseq_1(X1)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ! [X2] :
( ~ v1_finseq_1(X2)
| ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| ( X2 = k7_finseq_1(X0,X1)
<=> ( ! [X4] :
( ~ m2_subset_1(X4,k1_numbers,k5_numbers)
| ~ r2_hidden(X4,k4_finseq_1(X1))
| k1_funct_1(X1,X4) = k1_funct_1(X2,k1_nat_1(k3_finseq_1(X0),X4)) )
& ! [X3] :
( ~ m2_subset_1(X3,k1_numbers,k5_numbers)
| ~ r2_hidden(X3,k4_finseq_1(X0))
| k1_funct_1(X2,X3) = k1_funct_1(X0,X3) )
& k4_finseq_1(X2) = k2_finseq_1(k1_nat_1(k3_finseq_1(X0),k3_finseq_1(X1))) ) ) ) ) ),
inference(flattening,[],[f8460]) ).
fof(f8462,plain,
! [X0] :
( ~ v4_ordinal2(X0)
| ! [X1] :
( ~ v1_finseq_1(X1)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ! [X2] :
( ~ v1_finseq_1(X2)
| ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| k7_relat_1(X1,k2_finseq_1(X0)) != X2
| ~ r1_xreal_0(X0,k3_finseq_1(X1))
| ( k4_finseq_1(X2) = k2_finseq_1(X0)
& k3_finseq_1(X2) = X0 ) ) ) ),
inference(ennf_transformation,[],[f3274]) ).
fof(f8463,plain,
! [X0] :
( ~ v4_ordinal2(X0)
| ! [X1] :
( ~ v1_finseq_1(X1)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ! [X2] :
( ~ v1_finseq_1(X2)
| ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| k7_relat_1(X1,k2_finseq_1(X0)) != X2
| ~ r1_xreal_0(X0,k3_finseq_1(X1))
| ( k4_finseq_1(X2) = k2_finseq_1(X0)
& k3_finseq_1(X2) = X0 ) ) ) ),
inference(flattening,[],[f8462]) ).
fof(f8464,plain,
! [X0] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ? [X2] :
( v1_finseq_1(X2)
& v1_funct_1(X2)
& v1_relat_1(X2)
& r1_tarski(X0,X2) )
| ! [X1] :
( ~ r1_tarski(k1_relat_1(X0),k2_finseq_1(X1))
| ~ m2_subset_1(X1,k1_numbers,k5_numbers) ) ),
inference(ennf_transformation,[],[f6490]) ).
fof(f8465,plain,
! [X0] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ? [X2] :
( v1_finseq_1(X2)
& v1_funct_1(X2)
& v1_relat_1(X2)
& r1_tarski(X0,X2) )
| ! [X1] :
( ~ r1_tarski(k1_relat_1(X0),k2_finseq_1(X1))
| ~ m2_subset_1(X1,k1_numbers,k5_numbers) ) ),
inference(flattening,[],[f8464]) ).
fof(f8466,plain,
! [X0] :
( ~ v1_finseq_1(X0)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ! [X1] :
( ~ m2_subset_1(X1,k1_numbers,k5_numbers)
| ( X1 = k3_finseq_1(X0)
<=> k2_finseq_1(X1) = k1_relat_1(X0) ) ) ),
inference(ennf_transformation,[],[f3265]) ).
fof(f8467,plain,
! [X0] :
( ~ v1_finseq_1(X0)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ! [X1] :
( ~ m2_subset_1(X1,k1_numbers,k5_numbers)
| ( X1 = k3_finseq_1(X0)
<=> k2_finseq_1(X1) = k1_relat_1(X0) ) ) ),
inference(flattening,[],[f8466]) ).
fof(f8468,plain,
! [X0] :
( ~ v1_relat_1(X0)
| ( v1_finseq_1(X0)
<=> ? [X1] :
( k1_relat_1(X0) = k2_finseq_1(X1)
& m2_subset_1(X1,k1_numbers,k5_numbers) ) ) ),
inference(ennf_transformation,[],[f3264]) ).
fof(f8471,plain,
! [X0] :
( ~ m2_subset_1(X0,k1_numbers,k5_numbers)
| X0 = k1_card_1(X0) ),
inference(ennf_transformation,[],[f3194]) ).
fof(f8472,plain,
! [X0,X1] :
( ~ r1_tarski(X0,X1)
| r1_tarski(k1_card_1(X0),k1_card_1(X1)) ),
inference(ennf_transformation,[],[f3152]) ).
fof(f8473,plain,
! [X0] :
( v1_xboole_0(X0)
| ! [X1] :
( v1_xboole_0(X1)
| ! [X2] :
( ~ m2_relset_1(X2,X0,X1)
| ~ v1_funct_2(X2,X0,X1)
| ~ v1_funct_1(X2)
| ( v2_funct_1(X2)
<=> ! [X3] :
( ~ m1_subset_1(X3,X0)
| ! [X4] :
( ~ m1_subset_1(X4,X0)
| k8_funct_2(X0,X1,X2,X3) != k8_funct_2(X0,X1,X2,X4)
| X3 = X4 ) ) ) ) ) ),
inference(ennf_transformation,[],[f6170]) ).
fof(f8474,plain,
! [X0] :
( v1_xboole_0(X0)
| ! [X1] :
( v1_xboole_0(X1)
| ! [X2] :
( ~ m2_relset_1(X2,X0,X1)
| ~ v1_funct_2(X2,X0,X1)
| ~ v1_funct_1(X2)
| ( v2_funct_1(X2)
<=> ! [X3] :
( ~ m1_subset_1(X3,X0)
| ! [X4] :
( ~ m1_subset_1(X4,X0)
| k8_funct_2(X0,X1,X2,X3) != k8_funct_2(X0,X1,X2,X4)
| X3 = X4 ) ) ) ) ) ),
inference(flattening,[],[f8473]) ).
fof(f8475,plain,
! [X0] :
( ~ v1_finseq_1(X0)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ! [X1] :
( ~ v1_finseq_1(X1)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ~ v2_funct_1(X1)
| ~ v2_funct_1(X0)
| k2_relat_1(X0) != k2_relat_1(X1)
| k3_finseq_1(X0) = k3_finseq_1(X1) ) ),
inference(ennf_transformation,[],[f3326]) ).
fof(f8476,plain,
! [X0] :
( ~ v1_finseq_1(X0)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ! [X1] :
( ~ v1_finseq_1(X1)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ~ v2_funct_1(X1)
| ~ v2_funct_1(X0)
| k2_relat_1(X0) != k2_relat_1(X1)
| k3_finseq_1(X0) = k3_finseq_1(X1) ) ),
inference(flattening,[],[f8475]) ).
fof(f8479,plain,
! [X0,X1] :
( ~ m2_relset_1(X1,X0,X0)
| ~ v1_funct_2(X1,X0,X0)
| ~ v1_funct_1(X1)
| ( v2_funct_1(X1)
<=> ! [X2,X3] :
( k1_funct_1(X1,X2) != k1_funct_1(X1,X3)
| ~ r2_hidden(X3,X0)
| ~ r2_hidden(X2,X0)
| X2 = X3 ) ) ),
inference(ennf_transformation,[],[f1778]) ).
fof(f8480,plain,
! [X0,X1] :
( ~ m2_relset_1(X1,X0,X0)
| ~ v1_funct_2(X1,X0,X0)
| ~ v1_funct_1(X1)
| ( v2_funct_1(X1)
<=> ! [X2,X3] :
( k1_funct_1(X1,X2) != k1_funct_1(X1,X3)
| ~ r2_hidden(X3,X0)
| ~ r2_hidden(X2,X0)
| X2 = X3 ) ) ),
inference(flattening,[],[f8479]) ).
fof(f8481,plain,
! [X0,X1,X2] :
( ~ m2_relset_1(X2,X0,X1)
| ~ v1_funct_2(X2,X0,X1)
| ~ v1_funct_1(X2)
| ( X1 = k1_xboole_0
& k1_xboole_0 != X0 )
| ( v2_funct_1(X2)
<=> ! [X3,X4] :
( k1_funct_1(X2,X3) != k1_funct_1(X2,X4)
| ~ r2_hidden(X4,X0)
| ~ r2_hidden(X3,X0)
| X3 = X4 ) ) ),
inference(ennf_transformation,[],[f1726]) ).
fof(f8482,plain,
! [X0,X1,X2] :
( ~ m2_relset_1(X2,X0,X1)
| ~ v1_funct_2(X2,X0,X1)
| ~ v1_funct_1(X2)
| ( X1 = k1_xboole_0
& k1_xboole_0 != X0 )
| ( v2_funct_1(X2)
<=> ! [X3,X4] :
( k1_funct_1(X2,X3) != k1_funct_1(X2,X4)
| ~ r2_hidden(X4,X0)
| ~ r2_hidden(X3,X0)
| X3 = X4 ) ) ),
inference(flattening,[],[f8481]) ).
fof(f8483,plain,
! [X0,X1,X2] :
( ~ m2_relset_1(X2,k1_tarski(X0),X1)
| ~ v1_funct_1(X2)
| v2_funct_1(X2) ),
inference(ennf_transformation,[],[f1421]) ).
fof(f8484,plain,
! [X0,X1,X2] :
( ~ m2_relset_1(X2,k1_tarski(X0),X1)
| ~ v1_funct_1(X2)
| v2_funct_1(X2) ),
inference(flattening,[],[f8483]) ).
fof(f8485,plain,
! [X0,X1] :
( ~ m2_relset_1(X1,X0,k1_xboole_0)
| ~ v1_funct_1(X1)
| v2_funct_1(X1) ),
inference(ennf_transformation,[],[f1417]) ).
fof(f8486,plain,
! [X0,X1] :
( ~ m2_relset_1(X1,X0,k1_xboole_0)
| ~ v1_funct_1(X1)
| v2_funct_1(X1) ),
inference(flattening,[],[f8485]) ).
fof(f8487,plain,
! [X0,X1] :
( ~ m2_relset_1(X1,k1_xboole_0,X0)
| ~ v1_funct_1(X1)
| v2_funct_1(X1) ),
inference(ennf_transformation,[],[f1410]) ).
fof(f8488,plain,
! [X0,X1] :
( ~ m2_relset_1(X1,k1_xboole_0,X0)
| ~ v1_funct_1(X1)
| v2_funct_1(X1) ),
inference(flattening,[],[f8487]) ).
fof(f8489,plain,
! [X0] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ( v2_funct_1(X0)
<=> ! [X1] :
? [X2] : r1_tarski(k10_relat_1(X0,k1_tarski(X1)),k1_tarski(X2)) ) ),
inference(ennf_transformation,[],[f1098]) ).
fof(f8490,plain,
! [X0] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ( v2_funct_1(X0)
<=> ! [X1] :
? [X2] : r1_tarski(k10_relat_1(X0,k1_tarski(X1)),k1_tarski(X2)) ) ),
inference(flattening,[],[f8489]) ).
fof(f8491,plain,
! [X0,X1,X2] :
( ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| ~ v2_funct_1(X2)
| ~ r1_tarski(X0,k1_relat_1(X2))
| ~ r1_tarski(k9_relat_1(X2,X0),k9_relat_1(X2,X1))
| r1_tarski(X0,X1) ),
inference(ennf_transformation,[],[f1096]) ).
fof(f8492,plain,
! [X0,X1,X2] :
( ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| ~ v2_funct_1(X2)
| ~ r1_tarski(X0,k1_relat_1(X2))
| ~ r1_tarski(k9_relat_1(X2,X0),k9_relat_1(X2,X1))
| r1_tarski(X0,X1) ),
inference(flattening,[],[f8491]) ).
fof(f8493,plain,
! [X0] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ? [X1] : ~ r1_tarski(k10_relat_1(X0,k9_relat_1(X0,X1)),X1)
| v2_funct_1(X0) ),
inference(ennf_transformation,[],[f1092]) ).
fof(f8494,plain,
! [X0] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ? [X1] : ~ r1_tarski(k10_relat_1(X0,k9_relat_1(X0,X1)),X1)
| v2_funct_1(X0) ),
inference(flattening,[],[f8493]) ).
fof(f8495,plain,
! [X0,X1] :
( ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ~ v2_funct_1(X1)
| r1_tarski(k10_relat_1(X1,k9_relat_1(X1,X0)),X0) ),
inference(ennf_transformation,[],[f1091]) ).
fof(f8496,plain,
! [X0,X1] :
( ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ~ v2_funct_1(X1)
| r1_tarski(k10_relat_1(X1,k9_relat_1(X1,X0)),X0) ),
inference(flattening,[],[f8495]) ).
fof(f8497,plain,
! [X0] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ( ! [X1] :
( ? [X2] : k1_tarski(X2) = k10_relat_1(X0,k1_tarski(X1))
| ~ r2_hidden(X1,k2_relat_1(X0)) )
<=> v2_funct_1(X0) ) ),
inference(ennf_transformation,[],[f1083]) ).
fof(f8498,plain,
! [X0] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ( ! [X1] :
( ? [X2] : k1_tarski(X2) = k10_relat_1(X0,k1_tarski(X1))
| ~ r2_hidden(X1,k2_relat_1(X0)) )
<=> v2_funct_1(X0) ) ),
inference(flattening,[],[f8497]) ).
fof(f8499,plain,
! [X0] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ? [X1,X2] : k9_relat_1(X0,k4_xboole_0(X1,X2)) != k4_xboole_0(k9_relat_1(X0,X1),k9_relat_1(X0,X2))
| v2_funct_1(X0) ),
inference(ennf_transformation,[],[f1062]) ).
fof(f8500,plain,
! [X0] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ? [X1,X2] : k9_relat_1(X0,k4_xboole_0(X1,X2)) != k4_xboole_0(k9_relat_1(X0,X1),k9_relat_1(X0,X2))
| v2_funct_1(X0) ),
inference(flattening,[],[f8499]) ).
fof(f8501,plain,
! [X0,X1,X2] :
( ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| ~ v2_funct_1(X2)
| k9_relat_1(X2,k4_xboole_0(X0,X1)) = k4_xboole_0(k9_relat_1(X2,X0),k9_relat_1(X2,X1)) ),
inference(ennf_transformation,[],[f1061]) ).
fof(f8502,plain,
! [X0,X1,X2] :
( ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| ~ v2_funct_1(X2)
| k9_relat_1(X2,k4_xboole_0(X0,X1)) = k4_xboole_0(k9_relat_1(X2,X0),k9_relat_1(X2,X1)) ),
inference(flattening,[],[f8501]) ).
fof(f8503,plain,
! [X0] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ? [X1,X2] : k9_relat_1(X0,k3_xboole_0(X1,X2)) != k3_xboole_0(k9_relat_1(X0,X1),k9_relat_1(X0,X2))
| v2_funct_1(X0) ),
inference(ennf_transformation,[],[f1060]) ).
fof(f8504,plain,
! [X0] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ? [X1,X2] : k9_relat_1(X0,k3_xboole_0(X1,X2)) != k3_xboole_0(k9_relat_1(X0,X1),k9_relat_1(X0,X2))
| v2_funct_1(X0) ),
inference(flattening,[],[f8503]) ).
fof(f8505,plain,
! [X0,X1,X2] :
( ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| ~ v2_funct_1(X2)
| k9_relat_1(X2,k3_xboole_0(X0,X1)) = k3_xboole_0(k9_relat_1(X2,X0),k9_relat_1(X2,X1)) ),
inference(ennf_transformation,[],[f1059]) ).
fof(f8506,plain,
! [X0,X1,X2] :
( ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| ~ v2_funct_1(X2)
| k9_relat_1(X2,k3_xboole_0(X0,X1)) = k3_xboole_0(k9_relat_1(X2,X0),k9_relat_1(X2,X1)) ),
inference(flattening,[],[f8505]) ).
fof(f8507,plain,
! [X0] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ( v2_funct_1(X0)
<=> ! [X1,X2] :
( k1_funct_1(X0,X1) != k1_funct_1(X0,X2)
| ~ r2_hidden(X2,k1_relat_1(X0))
| ~ r2_hidden(X1,k1_relat_1(X0))
| X1 = X2 ) ) ),
inference(ennf_transformation,[],[f978]) ).
fof(f8508,plain,
! [X0] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ( v2_funct_1(X0)
<=> ! [X1,X2] :
( k1_funct_1(X0,X1) != k1_funct_1(X0,X2)
| ~ r2_hidden(X2,k1_relat_1(X0))
| ~ r2_hidden(X1,k1_relat_1(X0))
| X1 = X2 ) ) ),
inference(flattening,[],[f8507]) ).
fof(f8509,plain,
! [X0] :
( ~ v1_funct_1(X0)
| ~ v1_xboole_0(X0)
| ~ v1_relat_1(X0)
| ( v2_funct_1(X0)
& v1_funct_1(X0)
& v1_relat_1(X0) ) ),
inference(ennf_transformation,[],[f919]) ).
fof(f8510,plain,
! [X0] :
( ~ v1_funct_1(X0)
| ~ v1_xboole_0(X0)
| ~ v1_relat_1(X0)
| ( v2_funct_1(X0)
& v1_funct_1(X0)
& v1_relat_1(X0) ) ),
inference(flattening,[],[f8509]) ).
fof(f8511,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v13_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_filter_0(X1,X0)
| ~ r2_hidden(k5_lattices(X0),X1)
| ~ v1_filter_0(X1,X0) ) ),
inference(ennf_transformation,[],[f6458]) ).
fof(f8512,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v13_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_filter_0(X1,X0)
| ~ r2_hidden(k5_lattices(X0),X1)
| ~ v1_filter_0(X1,X0) ) ),
inference(flattening,[],[f8511]) ).
fof(f8513,plain,
! [X0] :
( ~ l3_lattices(X0)
| v3_realset2(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ! [X2] :
( ~ m1_filter_0(X2,X0)
| ~ r2_hidden(X1,X2)
| r2_hidden(X2,k8_funct_2(u1_struct_0(X0),k1_zfmisc_1(k7_lopclset(X0)),k9_lopclset(X0),X1))
| ~ v1_filter_0(X2,X0) ) ) ),
inference(ennf_transformation,[],[f6447]) ).
fof(f8514,plain,
! [X0] :
( ~ l3_lattices(X0)
| v3_realset2(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ! [X2] :
( ~ m1_filter_0(X2,X0)
| ~ r2_hidden(X1,X2)
| r2_hidden(X2,k8_funct_2(u1_struct_0(X0),k1_zfmisc_1(k7_lopclset(X0)),k9_lopclset(X0),X1))
| ~ v1_filter_0(X2,X0) ) ) ),
inference(flattening,[],[f8513]) ).
fof(f8515,plain,
! [X0] :
( ~ l3_lattices(X0)
| v3_realset2(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| ! [X3] :
( ~ m1_filter_0(X3,X0)
| ~ v1_filter_0(X3,X0)
| ( r2_hidden(k3_lattices(X0,X1,X2),X3)
<=> ( r2_hidden(X2,X3)
| r2_hidden(X1,X3) ) ) ) ) ) ),
inference(ennf_transformation,[],[f6438]) ).
fof(f8516,plain,
! [X0] :
( ~ l3_lattices(X0)
| v3_realset2(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| ! [X3] :
( ~ m1_filter_0(X3,X0)
| ~ v1_filter_0(X3,X0)
| ( r2_hidden(k3_lattices(X0,X1,X2),X3)
<=> ( r2_hidden(X2,X3)
| r2_hidden(X1,X3) ) ) ) ) ) ),
inference(flattening,[],[f8515]) ).
fof(f8517,plain,
! [X0,X1] :
( ~ l3_lattices(X1)
| v3_realset2(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ( r2_hidden(X0,k7_lopclset(X1))
<=> ? [X2] :
( v1_filter_0(X2,X1)
& X2 = X0
& m1_filter_0(X2,X1) ) ) ),
inference(ennf_transformation,[],[f6433]) ).
fof(f8518,plain,
! [X0,X1] :
( ~ l3_lattices(X1)
| v3_realset2(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ( r2_hidden(X0,k7_lopclset(X1))
<=> ? [X2] :
( v1_filter_0(X2,X1)
& X2 = X0
& m1_filter_0(X2,X1) ) ) ),
inference(flattening,[],[f8517]) ).
fof(f8519,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| ? [X3] :
( m1_filter_0(X3,X0)
& ( ( r2_hidden(X2,X3)
& ~ r2_hidden(X1,X3) )
| ( ~ r2_hidden(X2,X3)
& r2_hidden(X1,X3) ) )
& v1_filter_0(X3,X0) )
| X1 = X2 ) ) ),
inference(ennf_transformation,[],[f5548]) ).
fof(f8520,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| ? [X3] :
( m1_filter_0(X3,X0)
& ( ( r2_hidden(X2,X3)
& ~ r2_hidden(X1,X3) )
| ( ~ r2_hidden(X2,X3)
& r2_hidden(X1,X3) ) )
& v1_filter_0(X3,X0) )
| X1 = X2 ) ) ),
inference(flattening,[],[f8519]) ).
fof(f8521,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_filter_0(X1,X0)
| ~ v1_filter_0(X1,X0)
| ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| ( r2_hidden(X2,X1)
<=> ~ r2_hidden(k7_lattices(X0,X2),X1) ) ) ) ),
inference(ennf_transformation,[],[f5547]) ).
fof(f8522,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_filter_0(X1,X0)
| ~ v1_filter_0(X1,X0)
| ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| ( r2_hidden(X2,X1)
<=> ~ r2_hidden(k7_lattices(X0,X2),X1) ) ) ) ),
inference(flattening,[],[f8521]) ).
fof(f8523,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_filter_0(X1,X0)
| ( v1_filter_0(X1,X0)
<=> ( ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| r2_hidden(k7_lattices(X0,X2),X1)
| r2_hidden(X2,X1) )
& X1 != u1_struct_0(X0) ) ) ) ),
inference(ennf_transformation,[],[f5545]) ).
fof(f8524,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_filter_0(X1,X0)
| ( v1_filter_0(X1,X0)
<=> ( ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| r2_hidden(k7_lattices(X0,X2),X1)
| r2_hidden(X2,X1) )
& X1 != u1_struct_0(X0) ) ) ) ),
inference(flattening,[],[f8523]) ).
fof(f8527,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ v13_lattices(X0)
| ! [X1] :
( ~ m1_filter_0(X1,X0)
| ? [X2] :
( m1_filter_0(X2,X0)
& v1_filter_0(X2,X0)
& r1_tarski(X1,X2) )
| u1_struct_0(X0) = X1 ) ),
inference(ennf_transformation,[],[f5507]) ).
fof(f8528,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ v13_lattices(X0)
| ! [X1] :
( ~ m1_filter_0(X1,X0)
| ? [X2] :
( m1_filter_0(X2,X0)
& v1_filter_0(X2,X0)
& r1_tarski(X1,X2) )
| u1_struct_0(X0) = X1 ) ),
inference(flattening,[],[f8527]) ).
fof(f8529,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_filter_0(X1,X0)
| ( v1_filter_0(X1,X0)
<=> ( ! [X2] :
( ~ m1_filter_0(X2,X0)
| ~ r1_tarski(X1,X2)
| X1 = X2
| X2 = u1_struct_0(X0) )
& X1 != u1_struct_0(X0) ) ) ) ),
inference(ennf_transformation,[],[f5505]) ).
fof(f8530,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_filter_0(X1,X0)
| ( v1_filter_0(X1,X0)
<=> ( ! [X2] :
( ~ m1_filter_0(X2,X0)
| ~ r1_tarski(X1,X2)
| X1 = X2
| X2 = u1_struct_0(X0) )
& X1 != u1_struct_0(X0) ) ) ) ),
inference(flattening,[],[f8529]) ).
fof(f8531,plain,
! [X0] :
( ~ l3_lattices(X0)
| v3_realset2(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| k8_funct_2(u1_struct_0(X0),k1_zfmisc_1(k7_lopclset(X0)),k9_lopclset(X0),k6_lattices(X0)) = k7_lopclset(X0) ),
inference(ennf_transformation,[],[f6460]) ).
fof(f8532,plain,
! [X0] :
( ~ l3_lattices(X0)
| v3_realset2(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| k8_funct_2(u1_struct_0(X0),k1_zfmisc_1(k7_lopclset(X0)),k9_lopclset(X0),k6_lattices(X0)) = k7_lopclset(X0) ),
inference(flattening,[],[f8531]) ).
fof(f8533,plain,
! [X0] :
( ~ l3_lattices(X0)
| v3_realset2(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| k8_funct_2(u1_struct_0(X0),k1_zfmisc_1(k7_lopclset(X0)),k9_lopclset(X0),k5_lattices(X0)) = k1_xboole_0 ),
inference(ennf_transformation,[],[f6459]) ).
fof(f8534,plain,
! [X0] :
( ~ l3_lattices(X0)
| v3_realset2(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| k8_funct_2(u1_struct_0(X0),k1_zfmisc_1(k7_lopclset(X0)),k9_lopclset(X0),k5_lattices(X0)) = k1_xboole_0 ),
inference(flattening,[],[f8533]) ).
fof(f8535,plain,
! [X0] :
( ~ l3_lattices(X0)
| v3_realset2(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| v2_funct_1(k9_lopclset(X0)) ),
inference(ennf_transformation,[],[f6451]) ).
fof(f8536,plain,
! [X0] :
( ~ l3_lattices(X0)
| v3_realset2(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| v2_funct_1(k9_lopclset(X0)) ),
inference(flattening,[],[f8535]) ).
fof(f8537,plain,
! [X0] :
( ~ l3_lattices(X0)
| v3_realset2(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| k4_xboole_0(k7_lopclset(X0),k8_funct_2(u1_struct_0(X0),k1_zfmisc_1(k7_lopclset(X0)),k9_lopclset(X0),X1)) = k8_funct_2(u1_struct_0(X0),k1_zfmisc_1(k7_lopclset(X0)),k9_lopclset(X0),k7_lattices(X0,X1)) ) ),
inference(ennf_transformation,[],[f6448]) ).
fof(f8538,plain,
! [X0] :
( ~ l3_lattices(X0)
| v3_realset2(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| k4_xboole_0(k7_lopclset(X0),k8_funct_2(u1_struct_0(X0),k1_zfmisc_1(k7_lopclset(X0)),k9_lopclset(X0),X1)) = k8_funct_2(u1_struct_0(X0),k1_zfmisc_1(k7_lopclset(X0)),k9_lopclset(X0),k7_lattices(X0,X1)) ) ),
inference(flattening,[],[f8537]) ).
fof(f8539,plain,
! [X0] :
( ~ l3_lattices(X0)
| v3_realset2(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ( m2_relset_1(k9_lopclset(X0),u1_struct_0(X0),k1_zfmisc_1(k7_lopclset(X0)))
& v1_funct_2(k9_lopclset(X0),u1_struct_0(X0),k1_zfmisc_1(k7_lopclset(X0)))
& v1_funct_1(k9_lopclset(X0)) ) ),
inference(ennf_transformation,[],[f6401]) ).
fof(f8540,plain,
! [X0] :
( ~ l3_lattices(X0)
| v3_realset2(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ( m2_relset_1(k9_lopclset(X0),u1_struct_0(X0),k1_zfmisc_1(k7_lopclset(X0)))
& v1_funct_2(k9_lopclset(X0),u1_struct_0(X0),k1_zfmisc_1(k7_lopclset(X0)))
& v1_funct_1(k9_lopclset(X0)) ) ),
inference(flattening,[],[f8539]) ).
fof(f8541,plain,
! [X0] :
( ~ l3_lattices(X0)
| v3_realset2(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ v1_xboole_0(k7_lopclset(X0)) ),
inference(ennf_transformation,[],[f6431]) ).
fof(f8542,plain,
! [X0] :
( ~ l3_lattices(X0)
| v3_realset2(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ v1_xboole_0(k7_lopclset(X0)) ),
inference(flattening,[],[f8541]) ).
fof(f8543,plain,
! [X0] :
( ~ l3_lattices(X0)
| v3_realset2(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| m1_subset_1(k7_lopclset(X0),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(X0)))) ),
inference(ennf_transformation,[],[f6399]) ).
fof(f8544,plain,
! [X0] :
( ~ l3_lattices(X0)
| v3_realset2(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| m1_subset_1(k7_lopclset(X0),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(X0)))) ),
inference(flattening,[],[f8543]) ).
fof(f8545,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_eqrel_1(X1,u1_struct_0(X0))
| v1_xboole_0(X1)
| ! [X2] :
( ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| ( r2_hidden(k3_tarski(X2),u1_pre_topc(X0))
<=> r2_hidden(X2,u1_pre_topc(k16_borsuk_1(X0,X1))) ) ) ) ),
inference(ennf_transformation,[],[f5902]) ).
fof(f8546,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_eqrel_1(X1,u1_struct_0(X0))
| v1_xboole_0(X1)
| ! [X2] :
( ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| ( r2_hidden(k3_tarski(X2),u1_pre_topc(X0))
<=> r2_hidden(X2,u1_pre_topc(k16_borsuk_1(X0,X1))) ) ) ) ),
inference(flattening,[],[f8545]) ).
fof(f8547,plain,
! [X0] :
( ~ v1_int_1(X0)
| ! [X1] :
( ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| v3_struct_0(X1)
| ! [X2] :
( ~ l1_group_1(X2)
| ~ v4_group_1(X2)
| ~ v3_group_1(X2)
| v3_struct_0(X2)
| ! [X3] :
( ~ m1_subset_1(X3,u1_struct_0(X1))
| ! [X4] :
( ~ m2_relset_1(X4,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_group_6(X4,X1,X2)
| ~ v1_funct_2(X4,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_1(X4)
| k8_funct_2(u1_struct_0(X1),u1_struct_0(X2),X4,k6_group_1(X1,X0,X3)) = k6_group_1(X2,X0,k8_funct_2(u1_struct_0(X1),u1_struct_0(X2),X4,X3)) ) ) ) ) ),
inference(ennf_transformation,[],[f6221]) ).
fof(f8548,plain,
! [X0] :
( ~ v1_int_1(X0)
| ! [X1] :
( ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| v3_struct_0(X1)
| ! [X2] :
( ~ l1_group_1(X2)
| ~ v4_group_1(X2)
| ~ v3_group_1(X2)
| v3_struct_0(X2)
| ! [X3] :
( ~ m1_subset_1(X3,u1_struct_0(X1))
| ! [X4] :
( ~ m2_relset_1(X4,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_group_6(X4,X1,X2)
| ~ v1_funct_2(X4,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_1(X4)
| k8_funct_2(u1_struct_0(X1),u1_struct_0(X2),X4,k6_group_1(X1,X0,X3)) = k6_group_1(X2,X0,k8_funct_2(u1_struct_0(X1),u1_struct_0(X2),X4,X3)) ) ) ) ) ),
inference(flattening,[],[f8547]) ).
fof(f8549,plain,
! [X0] :
( ~ m2_subset_1(X0,k1_numbers,k5_numbers)
| ! [X1] :
( ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| v3_struct_0(X1)
| ! [X2] :
( ~ l1_group_1(X2)
| ~ v4_group_1(X2)
| ~ v3_group_1(X2)
| v3_struct_0(X2)
| ! [X3] :
( ~ m1_subset_1(X3,u1_struct_0(X1))
| ! [X4] :
( ~ m2_relset_1(X4,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_group_6(X4,X1,X2)
| ~ v1_funct_2(X4,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_1(X4)
| k8_funct_2(u1_struct_0(X1),u1_struct_0(X2),X4,k6_group_1(X1,X0,X3)) = k6_group_1(X2,X0,k8_funct_2(u1_struct_0(X1),u1_struct_0(X2),X4,X3)) ) ) ) ) ),
inference(ennf_transformation,[],[f6220]) ).
fof(f8550,plain,
! [X0] :
( ~ m2_subset_1(X0,k1_numbers,k5_numbers)
| ! [X1] :
( ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| v3_struct_0(X1)
| ! [X2] :
( ~ l1_group_1(X2)
| ~ v4_group_1(X2)
| ~ v3_group_1(X2)
| v3_struct_0(X2)
| ! [X3] :
( ~ m1_subset_1(X3,u1_struct_0(X1))
| ! [X4] :
( ~ m2_relset_1(X4,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_group_6(X4,X1,X2)
| ~ v1_funct_2(X4,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_1(X4)
| k8_funct_2(u1_struct_0(X1),u1_struct_0(X2),X4,k6_group_1(X1,X0,X3)) = k6_group_1(X2,X0,k8_funct_2(u1_struct_0(X1),u1_struct_0(X2),X4,X3)) ) ) ) ) ),
inference(flattening,[],[f8549]) ).
fof(f8551,plain,
! [X0] :
( ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| v3_struct_0(X1)
| ! [X2] :
( ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_group_6(X2,X0,X1)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X2)
| k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,k2_group_1(X0)) = k2_group_1(X1) ) ) ),
inference(ennf_transformation,[],[f6215]) ).
fof(f8552,plain,
! [X0] :
( ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| v3_struct_0(X1)
| ! [X2] :
( ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_group_6(X2,X0,X1)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X2)
| k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,k2_group_1(X0)) = k2_group_1(X1) ) ) ),
inference(flattening,[],[f8551]) ).
fof(f8553,plain,
! [X0] :
( ~ l1_group_1(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ l1_group_1(X1)
| v3_struct_0(X1)
| ! [X2] :
( ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X2)
| ( v1_group_6(X2,X0,X1)
<=> ! [X3] :
( ~ m1_subset_1(X3,u1_struct_0(X0))
| ! [X4] :
( ~ m1_subset_1(X4,u1_struct_0(X0))
| k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,k1_group_1(X0,X3,X4)) = k1_group_1(X1,k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,X3),k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,X4)) ) ) ) ) ) ),
inference(ennf_transformation,[],[f6211]) ).
fof(f8554,plain,
! [X0] :
( ~ l1_group_1(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ l1_group_1(X1)
| v3_struct_0(X1)
| ! [X2] :
( ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X2)
| ( v1_group_6(X2,X0,X1)
<=> ! [X3] :
( ~ m1_subset_1(X3,u1_struct_0(X0))
| ! [X4] :
( ~ m1_subset_1(X4,u1_struct_0(X0))
| k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,k1_group_1(X0,X3,X4)) = k1_group_1(X1,k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,X3),k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,X4)) ) ) ) ) ) ),
inference(flattening,[],[f8553]) ).
fof(f8555,plain,
! [X0,X1] :
( ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| v3_struct_0(X1)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ? [X2] :
( v1_group_6(X2,X0,X1)
& v1_partfun1(X2,u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_1(X2)
& v1_relat_1(X2)
& ~ v1_xboole_0(X2)
& m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) ) ),
inference(ennf_transformation,[],[f6168]) ).
fof(f8556,plain,
! [X0,X1] :
( ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| v3_struct_0(X1)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ? [X2] :
( v1_group_6(X2,X0,X1)
& v1_partfun1(X2,u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_1(X2)
& v1_relat_1(X2)
& ~ v1_xboole_0(X2)
& m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) ) ),
inference(flattening,[],[f8555]) ).
fof(f8557,plain,
! [X0,X1,X2] :
( ~ m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_group_6(X2,X0,X1)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X2)
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| v3_struct_0(X1)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ( m1_group_2(k13_group_6(X0,X1,X2),X1)
& v1_group_1(k13_group_6(X0,X1,X2)) ) ),
inference(ennf_transformation,[],[f6299]) ).
fof(f8558,plain,
! [X0,X1,X2] :
( ~ m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_group_6(X2,X0,X1)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X2)
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| v3_struct_0(X1)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ( m1_group_2(k13_group_6(X0,X1,X2),X1)
& v1_group_1(k13_group_6(X0,X1,X2)) ) ),
inference(flattening,[],[f8557]) ).
fof(f8561,plain,
! [X0] :
( ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| v3_struct_0(X1)
| ! [X2] :
( ~ m2_relset_1(X2,u1_struct_0(X1),u1_struct_0(X0))
| ~ v1_group_6(X2,X1,X0)
| ~ v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X0))
| ~ v1_funct_1(X2)
| ( m2_relset_1(X2,u1_struct_0(X1),u1_struct_0(k13_group_6(X1,X0,X2)))
& v1_group_6(X2,X1,k13_group_6(X1,X0,X2))
& v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(k13_group_6(X1,X0,X2)))
& v1_funct_1(X2) ) ) ) ),
inference(ennf_transformation,[],[f6236]) ).
fof(f8562,plain,
! [X0] :
( ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| v3_struct_0(X1)
| ! [X2] :
( ~ m2_relset_1(X2,u1_struct_0(X1),u1_struct_0(X0))
| ~ v1_group_6(X2,X1,X0)
| ~ v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X0))
| ~ v1_funct_1(X2)
| ( m2_relset_1(X2,u1_struct_0(X1),u1_struct_0(k13_group_6(X1,X0,X2)))
& v1_group_6(X2,X1,k13_group_6(X1,X0,X2))
& v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(k13_group_6(X1,X0,X2)))
& v1_funct_1(X2) ) ) ) ),
inference(flattening,[],[f8561]) ).
fof(f8563,plain,
! [X0] :
( ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| v3_struct_0(X1)
| ! [X2] :
( ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_group_6(X2,X0,X1)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X2)
| ! [X3] :
( ~ m1_group_2(X3,X1)
| ~ v1_group_1(X3)
| ( X3 = k13_group_6(X0,X1,X2)
<=> u1_struct_0(X3) = k2_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,u1_struct_0(X0)) ) ) ) ) ),
inference(ennf_transformation,[],[f6230]) ).
fof(f8564,plain,
! [X0] :
( ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| v3_struct_0(X1)
| ! [X2] :
( ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_group_6(X2,X0,X1)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X2)
| ! [X3] :
( ~ m1_group_2(X3,X1)
| ~ v1_group_1(X3)
| ( X3 = k13_group_6(X0,X1,X2)
<=> u1_struct_0(X3) = k2_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,u1_struct_0(X0)) ) ) ) ) ),
inference(flattening,[],[f8563]) ).
fof(f8565,plain,
! [X0] :
( ~ l1_group_1(X0)
| ~ v2_group_1(X0)
| v3_struct_0(X0)
| v1_setwiseo(u1_group_1(X0),u1_struct_0(X0)) ),
inference(ennf_transformation,[],[f5035]) ).
fof(f8566,plain,
! [X0] :
( ~ l1_group_1(X0)
| ~ v2_group_1(X0)
| v3_struct_0(X0)
| v1_setwiseo(u1_group_1(X0),u1_struct_0(X0)) ),
inference(flattening,[],[f8565]) ).
fof(f8567,plain,
! [X0] :
( ~ l1_group_1(X0)
| v3_struct_0(X0)
| ~ v2_group_1(X0)
| ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ( X1 = k2_group_1(X0)
<=> ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| ( k1_group_1(X0,X1,X2) = X2
& k1_group_1(X0,X2,X1) = X2 ) ) ) ) ),
inference(ennf_transformation,[],[f5006]) ).
fof(f8568,plain,
! [X0] :
( ~ l1_group_1(X0)
| v3_struct_0(X0)
| ~ v2_group_1(X0)
| ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ( X1 = k2_group_1(X0)
<=> ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| ( k1_group_1(X0,X1,X2) = X2
& k1_group_1(X0,X2,X1) = X2 ) ) ) ) ),
inference(flattening,[],[f8567]) ).
fof(f8569,plain,
! [X0] :
( ~ l1_group_1(X0)
| v3_struct_0(X0)
| ( v2_group_1(X0)
<=> ? [X1] :
( ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| ( k1_group_1(X0,X1,X2) = X2
& k1_group_1(X0,X2,X1) = X2 ) )
& m1_subset_1(X1,u1_struct_0(X0)) ) ) ),
inference(ennf_transformation,[],[f4996]) ).
fof(f8570,plain,
! [X0] :
( ~ l1_group_1(X0)
| v3_struct_0(X0)
| ( v2_group_1(X0)
<=> ? [X1] :
( ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| ( k1_group_1(X0,X1,X2) = X2
& k1_group_1(X0,X2,X1) = X2 ) )
& m1_subset_1(X1,u1_struct_0(X0)) ) ) ),
inference(flattening,[],[f8569]) ).
fof(f8571,plain,
! [X0] :
( ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ( v2_group_1(X0)
& ~ v3_struct_0(X0) ) ),
inference(ennf_transformation,[],[f4991]) ).
fof(f8572,plain,
! [X0] :
( ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ( v2_group_1(X0)
& ~ v3_struct_0(X0) ) ),
inference(flattening,[],[f8571]) ).
fof(f8573,plain,
! [X0] :
( ~ l1_group_1(X0)
| ( m2_relset_1(u1_group_1(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& v1_funct_2(u1_group_1(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& v1_funct_1(u1_group_1(X0)) ) ),
inference(ennf_transformation,[],[f5123]) ).
fof(f8574,plain,
! [X0] :
( ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| v3_struct_0(X0)
| v2_binop_1(u1_group_1(X0),u1_struct_0(X0)) ),
inference(ennf_transformation,[],[f5032]) ).
fof(f8575,plain,
! [X0] :
( ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| v3_struct_0(X0)
| v2_binop_1(u1_group_1(X0),u1_struct_0(X0)) ),
inference(flattening,[],[f8574]) ).
fof(f8576,plain,
! [X0] :
( ~ l1_group_1(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| k1_group_1(X0,X1,X2) = k2_binop_1(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),u1_group_1(X0),X1,X2) ) ) ),
inference(ennf_transformation,[],[f4995]) ).
fof(f8577,plain,
! [X0] :
( ~ l1_group_1(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| k1_group_1(X0,X1,X2) = k2_binop_1(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),u1_group_1(X0),X1,X2) ) ) ),
inference(flattening,[],[f8576]) ).
fof(f8578,plain,
! [X0] :
( ~ l1_group_1(X0)
| v3_struct_0(X0)
| m1_subset_1(k2_group_1(X0),u1_struct_0(X0)) ),
inference(ennf_transformation,[],[f5112]) ).
fof(f8579,plain,
! [X0] :
( ~ l1_group_1(X0)
| v3_struct_0(X0)
| m1_subset_1(k2_group_1(X0),u1_struct_0(X0)) ),
inference(flattening,[],[f8578]) ).
fof(f8580,plain,
! [X0] :
( ~ v1_int_1(X0)
| ! [X1] :
( ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| v3_struct_0(X1)
| k6_group_1(X1,X0,k2_group_1(X1)) = k2_group_1(X1) ) ),
inference(ennf_transformation,[],[f5065]) ).
fof(f8581,plain,
! [X0] :
( ~ v1_int_1(X0)
| ! [X1] :
( ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| v3_struct_0(X1)
| k6_group_1(X1,X0,k2_group_1(X1)) = k2_group_1(X1) ) ),
inference(flattening,[],[f8580]) ).
fof(f8584,plain,
! [X0] :
( ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| k6_group_1(X0,np__0,X1) = k2_group_1(X0) ) ),
inference(ennf_transformation,[],[f5047]) ).
fof(f8585,plain,
! [X0] :
( ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| k6_group_1(X0,np__0,X1) = k2_group_1(X0) ) ),
inference(flattening,[],[f8584]) ).
fof(f8586,plain,
! [X0] :
( ~ m2_subset_1(X0,k1_numbers,k5_numbers)
| ! [X1] :
( ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| v3_struct_0(X1)
| k6_group_1(X1,X0,k2_group_1(X1)) = k2_group_1(X1) ) ),
inference(ennf_transformation,[],[f5046]) ).
fof(f8587,plain,
! [X0] :
( ~ m2_subset_1(X0,k1_numbers,k5_numbers)
| ! [X1] :
( ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| v3_struct_0(X1)
| k6_group_1(X1,X0,k2_group_1(X1)) = k2_group_1(X1) ) ),
inference(flattening,[],[f8586]) ).
fof(f8588,plain,
! [X0] :
( ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| ( k1_group_1(X0,X2,X1) != k2_group_1(X0)
& k1_group_1(X0,X1,X2) != k2_group_1(X0) )
| ( X2 = k3_group_1(X0,X1)
& X1 = k3_group_1(X0,X2) ) ) ) ),
inference(ennf_transformation,[],[f5020]) ).
fof(f8589,plain,
! [X0] :
( ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| ( k1_group_1(X0,X2,X1) != k2_group_1(X0)
& k1_group_1(X0,X1,X2) != k2_group_1(X0) )
| ( X2 = k3_group_1(X0,X1)
& X1 = k3_group_1(X0,X2) ) ) ) ),
inference(flattening,[],[f8588]) ).
fof(f8590,plain,
! [X0] :
( ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| k2_group_1(X0) != k3_group_1(X0,X1)
| X1 = k2_group_1(X0) ) ),
inference(ennf_transformation,[],[f5018]) ).
fof(f8591,plain,
! [X0] :
( ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| k2_group_1(X0) != k3_group_1(X0,X1)
| X1 = k2_group_1(X0) ) ),
inference(flattening,[],[f8590]) ).
fof(f8592,plain,
! [X0] :
( ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| k3_group_1(X0,k2_group_1(X0)) = k2_group_1(X0) ),
inference(ennf_transformation,[],[f5016]) ).
fof(f8593,plain,
! [X0] :
( ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| k3_group_1(X0,k2_group_1(X0)) = k2_group_1(X0) ),
inference(flattening,[],[f8592]) ).
fof(f8594,plain,
! [X0] :
( ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| ( k1_group_1(X0,X2,X1) != X1
& k1_group_1(X0,X1,X2) != X1 )
| X2 = k2_group_1(X0) ) ) ),
inference(ennf_transformation,[],[f5015]) ).
fof(f8595,plain,
! [X0] :
( ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| ( k1_group_1(X0,X2,X1) != X1
& k1_group_1(X0,X1,X2) != X1 )
| X2 = k2_group_1(X0) ) ) ),
inference(flattening,[],[f8594]) ).
fof(f8598,plain,
! [X0] :
( ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| ( X2 = k3_group_1(X0,X1)
<=> ( k1_group_1(X0,X2,X1) = k2_group_1(X0)
& k1_group_1(X0,X1,X2) = k2_group_1(X0) ) ) ) ) ),
inference(ennf_transformation,[],[f5010]) ).
fof(f8599,plain,
! [X0] :
( ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| ( X2 = k3_group_1(X0,X1)
<=> ( k1_group_1(X0,X2,X1) = k2_group_1(X0)
& k1_group_1(X0,X1,X2) = k2_group_1(X0) ) ) ) ) ),
inference(flattening,[],[f8598]) ).
fof(f8600,plain,
! [X0] :
( ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ? [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
& ( k1_group_1(X0,X1,X2) != X2
| k1_group_1(X0,X2,X1) != X2 ) )
| X1 = k2_group_1(X0) ) ),
inference(ennf_transformation,[],[f5009]) ).
fof(f8601,plain,
! [X0] :
( ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ? [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
& ( k1_group_1(X0,X1,X2) != X2
| k1_group_1(X0,X2,X1) != X2 ) )
| X1 = k2_group_1(X0) ) ),
inference(flattening,[],[f8600]) ).
fof(f8602,plain,
! [X0] :
( ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| v3_struct_0(X1)
| ! [X2] :
( ~ l1_group_1(X2)
| ~ v4_group_1(X2)
| ~ v3_group_1(X2)
| v3_struct_0(X2)
| ! [X3] :
( ~ m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X0))
| ~ v1_group_6(X3,X1,X0)
| ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X0))
| ~ v1_funct_1(X3)
| ! [X4] :
( ~ m2_relset_1(X4,u1_struct_0(X0),u1_struct_0(X2))
| ~ v1_group_6(X4,X0,X2)
| ~ v1_funct_2(X4,u1_struct_0(X0),u1_struct_0(X2))
| ~ v1_funct_1(X4)
| ( m2_relset_1(k7_funct_2(u1_struct_0(X1),u1_struct_0(X0),u1_struct_0(X2),X3,X4),u1_struct_0(X1),u1_struct_0(X2))
& v1_group_6(k7_funct_2(u1_struct_0(X1),u1_struct_0(X0),u1_struct_0(X2),X3,X4),X1,X2)
& v1_funct_2(k7_funct_2(u1_struct_0(X1),u1_struct_0(X0),u1_struct_0(X2),X3,X4),u1_struct_0(X1),u1_struct_0(X2))
& v1_funct_1(k7_funct_2(u1_struct_0(X1),u1_struct_0(X0),u1_struct_0(X2),X3,X4)) ) ) ) ) ) ),
inference(ennf_transformation,[],[f6223]) ).
fof(f8603,plain,
! [X0] :
( ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| v3_struct_0(X1)
| ! [X2] :
( ~ l1_group_1(X2)
| ~ v4_group_1(X2)
| ~ v3_group_1(X2)
| v3_struct_0(X2)
| ! [X3] :
( ~ m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X0))
| ~ v1_group_6(X3,X1,X0)
| ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X0))
| ~ v1_funct_1(X3)
| ! [X4] :
( ~ m2_relset_1(X4,u1_struct_0(X0),u1_struct_0(X2))
| ~ v1_group_6(X4,X0,X2)
| ~ v1_funct_2(X4,u1_struct_0(X0),u1_struct_0(X2))
| ~ v1_funct_1(X4)
| ( m2_relset_1(k7_funct_2(u1_struct_0(X1),u1_struct_0(X0),u1_struct_0(X2),X3,X4),u1_struct_0(X1),u1_struct_0(X2))
& v1_group_6(k7_funct_2(u1_struct_0(X1),u1_struct_0(X0),u1_struct_0(X2),X3,X4),X1,X2)
& v1_funct_2(k7_funct_2(u1_struct_0(X1),u1_struct_0(X0),u1_struct_0(X2),X3,X4),u1_struct_0(X1),u1_struct_0(X2))
& v1_funct_1(k7_funct_2(u1_struct_0(X1),u1_struct_0(X0),u1_struct_0(X2),X3,X4)) ) ) ) ) ) ),
inference(flattening,[],[f8602]) ).
fof(f8604,plain,
! [X0] :
( v1_xboole_0(X0)
| ! [X1] :
( v1_xboole_0(X1)
| ! [X2] :
( v1_xboole_0(X2)
| ! [X3] :
( ~ m2_relset_1(X3,X0,X1)
| ~ v1_funct_2(X3,X0,X1)
| ~ v1_funct_1(X3)
| ! [X4] :
( ~ m2_relset_1(X4,X0,X2)
| ~ v1_funct_2(X4,X0,X2)
| ~ v1_funct_1(X4)
| ? [X7] :
( m2_relset_1(X7,X1,X2)
& v1_funct_2(X7,X1,X2)
& v1_funct_1(X7)
& k7_funct_2(X0,X1,X2,X3,X7) = X4 )
| ? [X5] :
( m1_subset_1(X5,X0)
& ? [X6] :
( m1_subset_1(X6,X0)
& k8_funct_2(X0,X1,X3,X5) = k8_funct_2(X0,X1,X3,X6)
& k8_funct_2(X0,X2,X4,X5) != k8_funct_2(X0,X2,X4,X6) ) ) ) ) ) ) ),
inference(ennf_transformation,[],[f6491]) ).
fof(f8605,plain,
! [X0] :
( v1_xboole_0(X0)
| ! [X1] :
( v1_xboole_0(X1)
| ! [X2] :
( v1_xboole_0(X2)
| ! [X3] :
( ~ m2_relset_1(X3,X0,X1)
| ~ v1_funct_2(X3,X0,X1)
| ~ v1_funct_1(X3)
| ! [X4] :
( ~ m2_relset_1(X4,X0,X2)
| ~ v1_funct_2(X4,X0,X2)
| ~ v1_funct_1(X4)
| ? [X7] :
( m2_relset_1(X7,X1,X2)
& v1_funct_2(X7,X1,X2)
& v1_funct_1(X7)
& k7_funct_2(X0,X1,X2,X3,X7) = X4 )
| ? [X5] :
( m1_subset_1(X5,X0)
& ? [X6] :
( m1_subset_1(X6,X0)
& k8_funct_2(X0,X1,X3,X5) = k8_funct_2(X0,X1,X3,X6)
& k8_funct_2(X0,X2,X4,X5) != k8_funct_2(X0,X2,X4,X6) ) ) ) ) ) ) ),
inference(flattening,[],[f8604]) ).
fof(f8608,plain,
! [X0] :
( v1_xboole_0(X0)
| ! [X1] :
( v1_xboole_0(X1)
| ! [X2,X3] :
( ~ m2_relset_1(X3,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X3,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X3)
| ~ v3_binop_1(X3,X0)
| ~ v2_binop_1(X3,X0)
| ~ v1_binop_1(X3,X0)
| ! [X4] :
( ~ m1_subset_1(X4,k5_finsub_1(X1))
| k1_xboole_0 = X4
| ! [X5] :
( ~ m2_relset_1(X5,X1,k5_finsub_1(X2))
| ~ v1_funct_2(X5,X1,k5_finsub_1(X2))
| ~ v1_funct_1(X5)
| ! [X6] :
( ~ m2_relset_1(X6,k5_finsub_1(X2),X0)
| ~ v1_funct_2(X6,k5_finsub_1(X2),X0)
| ~ v1_funct_1(X6)
| ? [X7] :
( m1_subset_1(X7,k5_finsub_1(X2))
& ? [X8] :
( m1_subset_1(X8,k5_finsub_1(X2))
& k8_funct_2(k5_finsub_1(X2),X0,X6,k5_setwiseo(X2,X7,X8)) != k2_binop_1(X0,X0,X0,X3,k8_funct_2(k5_finsub_1(X2),X0,X6,X7),k8_funct_2(k5_finsub_1(X2),X0,X6,X8)) ) )
| k8_funct_2(k5_finsub_1(X2),X0,X6,k10_setwiseo(X1,X2,X4,X5)) = k7_setwiseo(X1,X0,X3,X4,k7_funct_2(X1,k5_finsub_1(X2),X0,X5,X6)) ) ) ) ) ) ),
inference(ennf_transformation,[],[f2500]) ).
fof(f8609,plain,
! [X0] :
( v1_xboole_0(X0)
| ! [X1] :
( v1_xboole_0(X1)
| ! [X2,X3] :
( ~ m2_relset_1(X3,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X3,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X3)
| ~ v3_binop_1(X3,X0)
| ~ v2_binop_1(X3,X0)
| ~ v1_binop_1(X3,X0)
| ! [X4] :
( ~ m1_subset_1(X4,k5_finsub_1(X1))
| k1_xboole_0 = X4
| ! [X5] :
( ~ m2_relset_1(X5,X1,k5_finsub_1(X2))
| ~ v1_funct_2(X5,X1,k5_finsub_1(X2))
| ~ v1_funct_1(X5)
| ! [X6] :
( ~ m2_relset_1(X6,k5_finsub_1(X2),X0)
| ~ v1_funct_2(X6,k5_finsub_1(X2),X0)
| ~ v1_funct_1(X6)
| ? [X7] :
( m1_subset_1(X7,k5_finsub_1(X2))
& ? [X8] :
( m1_subset_1(X8,k5_finsub_1(X2))
& k8_funct_2(k5_finsub_1(X2),X0,X6,k5_setwiseo(X2,X7,X8)) != k2_binop_1(X0,X0,X0,X3,k8_funct_2(k5_finsub_1(X2),X0,X6,X7),k8_funct_2(k5_finsub_1(X2),X0,X6,X8)) ) )
| k8_funct_2(k5_finsub_1(X2),X0,X6,k10_setwiseo(X1,X2,X4,X5)) = k7_setwiseo(X1,X0,X3,X4,k7_funct_2(X1,k5_finsub_1(X2),X0,X5,X6)) ) ) ) ) ) ),
inference(flattening,[],[f8608]) ).
fof(f8610,plain,
! [X0,X1,X2,X3,X4] :
( ~ m1_relset_1(X4,X1,X2)
| ~ v1_funct_2(X4,X1,X2)
| ~ v1_funct_1(X4)
| ~ m1_relset_1(X3,X0,X1)
| ~ v1_funct_2(X3,X0,X1)
| ~ v1_funct_1(X3)
| v1_xboole_0(X1)
| k7_funct_2(X0,X1,X2,X3,X4) = k5_relat_1(X3,X4) ),
inference(ennf_transformation,[],[f1900]) ).
fof(f8611,plain,
! [X0,X1,X2,X3,X4] :
( ~ m1_relset_1(X4,X1,X2)
| ~ v1_funct_2(X4,X1,X2)
| ~ v1_funct_1(X4)
| ~ m1_relset_1(X3,X0,X1)
| ~ v1_funct_2(X3,X0,X1)
| ~ v1_funct_1(X3)
| v1_xboole_0(X1)
| k7_funct_2(X0,X1,X2,X3,X4) = k5_relat_1(X3,X4) ),
inference(flattening,[],[f8610]) ).
fof(f8612,plain,
! [X0,X1,X2,X3,X4] :
( ~ m1_relset_1(X4,X1,X2)
| ~ v1_funct_2(X4,X1,X2)
| ~ v1_funct_1(X4)
| ~ m1_relset_1(X3,X0,X1)
| ~ v1_funct_2(X3,X0,X1)
| ~ v1_funct_1(X3)
| v1_xboole_0(X1)
| ( m2_relset_1(k7_funct_2(X0,X1,X2,X3,X4),X0,X2)
& v1_funct_2(k7_funct_2(X0,X1,X2,X3,X4),X0,X2)
& v1_funct_1(k7_funct_2(X0,X1,X2,X3,X4)) ) ),
inference(ennf_transformation,[],[f1899]) ).
fof(f8613,plain,
! [X0,X1,X2,X3,X4] :
( ~ m1_relset_1(X4,X1,X2)
| ~ v1_funct_2(X4,X1,X2)
| ~ v1_funct_1(X4)
| ~ m1_relset_1(X3,X0,X1)
| ~ v1_funct_2(X3,X0,X1)
| ~ v1_funct_1(X3)
| v1_xboole_0(X1)
| ( m2_relset_1(k7_funct_2(X0,X1,X2,X3,X4),X0,X2)
& v1_funct_2(k7_funct_2(X0,X1,X2,X3,X4),X0,X2)
& v1_funct_1(k7_funct_2(X0,X1,X2,X3,X4)) ) ),
inference(flattening,[],[f8612]) ).
fof(f8614,plain,
! [X0,X1,X2,X3,X4] :
( ~ m1_relset_1(X4,X0,X1)
| ~ v1_funct_2(X4,X0,X1)
| ~ v1_funct_1(X4)
| ~ m1_subset_1(X3,k5_finsub_1(X0))
| ~ m1_relset_1(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X2)
| v1_xboole_0(X1)
| v1_xboole_0(X0)
| m1_subset_1(k7_setwiseo(X0,X1,X2,X3,X4),X1) ),
inference(ennf_transformation,[],[f2528]) ).
fof(f8615,plain,
! [X0,X1,X2,X3,X4] :
( ~ m1_relset_1(X4,X0,X1)
| ~ v1_funct_2(X4,X0,X1)
| ~ v1_funct_1(X4)
| ~ m1_subset_1(X3,k5_finsub_1(X0))
| ~ m1_relset_1(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X2)
| v1_xboole_0(X1)
| v1_xboole_0(X0)
| m1_subset_1(k7_setwiseo(X0,X1,X2,X3,X4),X1) ),
inference(flattening,[],[f8614]) ).
fof(f8616,plain,
! [X0] :
( v1_xboole_0(X0)
| ! [X1] :
( v1_xboole_0(X1)
| ! [X2] :
( ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ! [X3] :
( ~ m2_relset_1(X3,X1,X0)
| ~ v1_funct_2(X3,X1,X0)
| ~ v1_funct_1(X3)
| ~ v2_binop_1(X2,X0)
| ~ v1_binop_1(X2,X0)
| ! [X4] :
( ~ m1_subset_1(X4,X1)
| k7_setwiseo(X1,X0,X2,k2_setwiseo(X1,X4),X3) = k8_funct_2(X1,X0,X3,X4) ) ) ) ) ),
inference(ennf_transformation,[],[f2460]) ).
fof(f8617,plain,
! [X0] :
( v1_xboole_0(X0)
| ! [X1] :
( v1_xboole_0(X1)
| ! [X2] :
( ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ! [X3] :
( ~ m2_relset_1(X3,X1,X0)
| ~ v1_funct_2(X3,X1,X0)
| ~ v1_funct_1(X3)
| ~ v2_binop_1(X2,X0)
| ~ v1_binop_1(X2,X0)
| ! [X4] :
( ~ m1_subset_1(X4,X1)
| k7_setwiseo(X1,X0,X2,k2_setwiseo(X1,X4),X3) = k8_funct_2(X1,X0,X3,X4) ) ) ) ) ),
inference(flattening,[],[f8616]) ).
fof(f8618,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,X0)
| v1_xboole_0(X0)
| k2_setwiseo(X0,X1) = k1_tarski(X1) ),
inference(ennf_transformation,[],[f2516]) ).
fof(f8619,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,X0)
| v1_xboole_0(X0)
| k2_setwiseo(X0,X1) = k1_tarski(X1) ),
inference(flattening,[],[f8618]) ).
fof(f8620,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,X0)
| v1_xboole_0(X0)
| m1_subset_1(k2_setwiseo(X0,X1),k5_finsub_1(X0)) ),
inference(ennf_transformation,[],[f2515]) ).
fof(f8621,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,X0)
| v1_xboole_0(X0)
| m1_subset_1(k2_setwiseo(X0,X1),k5_finsub_1(X0)) ),
inference(flattening,[],[f8620]) ).
fof(f8622,plain,
! [X0,X1,X2] :
( ~ m1_subset_1(X2,k5_finsub_1(X0))
| ~ m1_subset_1(X1,k5_finsub_1(X0))
| k5_setwiseo(X0,X1,X2) = k2_xboole_0(X1,X2) ),
inference(ennf_transformation,[],[f2525]) ).
fof(f8623,plain,
! [X0,X1,X2] :
( ~ m1_subset_1(X2,k5_finsub_1(X0))
| ~ m1_subset_1(X1,k5_finsub_1(X0))
| k5_setwiseo(X0,X1,X2) = k2_xboole_0(X1,X2) ),
inference(flattening,[],[f8622]) ).
fof(f8624,plain,
! [X0,X1,X2] :
( ~ m1_subset_1(X2,k5_finsub_1(X0))
| ~ m1_subset_1(X1,k5_finsub_1(X0))
| k5_setwiseo(X0,X1,X1) = X1 ),
inference(ennf_transformation,[],[f2524]) ).
fof(f8625,plain,
! [X0,X1,X2] :
( ~ m1_subset_1(X2,k5_finsub_1(X0))
| ~ m1_subset_1(X1,k5_finsub_1(X0))
| k5_setwiseo(X0,X1,X1) = X1 ),
inference(flattening,[],[f8624]) ).
fof(f8626,plain,
! [X0,X1,X2] :
( ~ m1_subset_1(X2,k5_finsub_1(X0))
| ~ m1_subset_1(X1,k5_finsub_1(X0))
| k5_setwiseo(X0,X1,X2) = k5_setwiseo(X0,X2,X1) ),
inference(ennf_transformation,[],[f2523]) ).
fof(f8627,plain,
! [X0,X1,X2] :
( ~ m1_subset_1(X2,k5_finsub_1(X0))
| ~ m1_subset_1(X1,k5_finsub_1(X0))
| k5_setwiseo(X0,X1,X2) = k5_setwiseo(X0,X2,X1) ),
inference(flattening,[],[f8626]) ).
fof(f8628,plain,
! [X0,X1,X2] :
( ~ m1_subset_1(X2,k5_finsub_1(X0))
| ~ m1_subset_1(X1,k5_finsub_1(X0))
| m1_subset_1(k5_setwiseo(X0,X1,X2),k5_finsub_1(X0)) ),
inference(ennf_transformation,[],[f2522]) ).
fof(f8629,plain,
! [X0,X1,X2] :
( ~ m1_subset_1(X2,k5_finsub_1(X0))
| ~ m1_subset_1(X1,k5_finsub_1(X0))
| m1_subset_1(k5_setwiseo(X0,X1,X2),k5_finsub_1(X0)) ),
inference(flattening,[],[f8628]) ).
fof(f8630,plain,
! [X0] :
( ~ l3_lattices(X0)
| v3_struct_0(X0)
| ( v11_lattices(X0)
<=> ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| ! [X3] :
( ~ m1_subset_1(X3,u1_struct_0(X0))
| k2_lattices(X0,X1,k1_lattices(X0,X2,X3)) = k1_lattices(X0,k2_lattices(X0,X1,X2),k2_lattices(X0,X1,X3)) ) ) ) ) ),
inference(ennf_transformation,[],[f4511]) ).
fof(f8631,plain,
! [X0] :
( ~ l3_lattices(X0)
| v3_struct_0(X0)
| ( v11_lattices(X0)
<=> ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| ! [X3] :
( ~ m1_subset_1(X3,u1_struct_0(X0))
| k2_lattices(X0,X1,k1_lattices(X0,X2,X3)) = k1_lattices(X0,k2_lattices(X0,X1,X2),k2_lattices(X0,X1,X3)) ) ) ) ) ),
inference(flattening,[],[f8630]) ).
fof(f8632,plain,
! [X0] :
( ~ l3_lattices(X0)
| v3_struct_0(X0)
| ( v9_lattices(X0)
<=> ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| k2_lattices(X0,X1,k1_lattices(X0,X1,X2)) = X1 ) ) ) ),
inference(ennf_transformation,[],[f4509]) ).
fof(f8633,plain,
! [X0] :
( ~ l3_lattices(X0)
| v3_struct_0(X0)
| ( v9_lattices(X0)
<=> ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| k2_lattices(X0,X1,k1_lattices(X0,X1,X2)) = X1 ) ) ) ),
inference(flattening,[],[f8632]) ).
fof(f8634,plain,
! [X0] :
( ~ l3_lattices(X0)
| v3_struct_0(X0)
| ( v8_lattices(X0)
<=> ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| k1_lattices(X0,k2_lattices(X0,X1,X2),X2) = X2 ) ) ) ),
inference(ennf_transformation,[],[f4508]) ).
fof(f8635,plain,
! [X0] :
( ~ l3_lattices(X0)
| v3_struct_0(X0)
| ( v8_lattices(X0)
<=> ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| k1_lattices(X0,k2_lattices(X0,X1,X2),X2) = X2 ) ) ) ),
inference(flattening,[],[f8634]) ).
fof(f8636,plain,
! [X0,X1] :
( v1_xboole_0(X1)
| ! [X2] :
( ~ m2_relset_1(X2,X0,X1)
| ~ v1_funct_2(X2,X0,X1)
| ~ v1_funct_1(X2)
| ! [X3] :
( ~ m2_relset_1(X3,X0,X1)
| ~ v1_funct_2(X3,X0,X1)
| ~ v1_funct_1(X3)
| ! [X4] :
( ~ m1_subset_1(X4,k5_finsub_1(X0))
| k2_partfun1(X0,X1,X3,X4) != k2_partfun1(X0,X1,X2,X4)
| k2_funct_2(X0,X1,X2,X4) = k2_funct_2(X0,X1,X3,X4) ) ) ) ),
inference(ennf_transformation,[],[f5636]) ).
fof(f8637,plain,
! [X0,X1] :
( v1_xboole_0(X1)
| ! [X2] :
( ~ m2_relset_1(X2,X0,X1)
| ~ v1_funct_2(X2,X0,X1)
| ~ v1_funct_1(X2)
| ! [X3] :
( ~ m2_relset_1(X3,X0,X1)
| ~ v1_funct_2(X3,X0,X1)
| ~ v1_funct_1(X3)
| ! [X4] :
( ~ m1_subset_1(X4,k5_finsub_1(X0))
| k2_partfun1(X0,X1,X3,X4) != k2_partfun1(X0,X1,X2,X4)
| k2_funct_2(X0,X1,X2,X4) = k2_funct_2(X0,X1,X3,X4) ) ) ) ),
inference(flattening,[],[f8636]) ).
fof(f8638,plain,
! [X0,X1] :
( v1_xboole_0(X1)
| ! [X2] :
( ~ m2_relset_1(X2,X0,X1)
| ~ v1_funct_2(X2,X0,X1)
| ~ v1_funct_1(X2)
| ! [X3] :
( ~ m2_relset_1(X3,X0,X1)
| ~ v1_funct_2(X3,X0,X1)
| ~ v1_funct_1(X3)
| ! [X4] :
( ~ m1_subset_1(X4,k5_finsub_1(X0))
| ? [X5] :
( m1_subset_1(X5,X0)
& r2_hidden(X5,X4)
& k1_funct_1(X2,X5) != k1_funct_1(X3,X5) )
| k1_funct_4(X3,k2_partfun1(X0,X1,X2,X4)) = X3 ) ) ) ),
inference(ennf_transformation,[],[f5634]) ).
fof(f8639,plain,
! [X0,X1] :
( v1_xboole_0(X1)
| ! [X2] :
( ~ m2_relset_1(X2,X0,X1)
| ~ v1_funct_2(X2,X0,X1)
| ~ v1_funct_1(X2)
| ! [X3] :
( ~ m2_relset_1(X3,X0,X1)
| ~ v1_funct_2(X3,X0,X1)
| ~ v1_funct_1(X3)
| ! [X4] :
( ~ m1_subset_1(X4,k5_finsub_1(X0))
| ? [X5] :
( m1_subset_1(X5,X0)
& r2_hidden(X5,X4)
& k1_funct_1(X2,X5) != k1_funct_1(X3,X5) )
| k1_funct_4(X3,k2_partfun1(X0,X1,X2,X4)) = X3 ) ) ) ),
inference(flattening,[],[f8638]) ).
fof(f8640,plain,
! [X0,X1] :
( v1_xboole_0(X1)
| ! [X2] :
( ~ m2_relset_1(X2,X0,X1)
| ~ v1_funct_2(X2,X0,X1)
| ~ v1_funct_1(X2)
| ! [X3] :
( ~ m1_subset_1(X3,k5_finsub_1(X0))
| k1_relat_1(k2_partfun1(X0,X1,X2,X3)) = X3 ) ) ),
inference(ennf_transformation,[],[f5633]) ).
fof(f8641,plain,
! [X0,X1] :
( v1_xboole_0(X1)
| ! [X2] :
( ~ m2_relset_1(X2,X0,X1)
| ~ v1_funct_2(X2,X0,X1)
| ~ v1_funct_1(X2)
| ! [X3] :
( ~ m1_subset_1(X3,k5_finsub_1(X0))
| k1_relat_1(k2_partfun1(X0,X1,X2,X3)) = X3 ) ) ),
inference(flattening,[],[f8640]) ).
fof(f8642,plain,
! [X0,X1] :
( v1_xboole_0(X1)
| ! [X2] :
( ~ m2_relset_1(X2,X0,X1)
| ~ v1_funct_2(X2,X0,X1)
| ~ v1_funct_1(X2)
| ! [X3] :
( ~ m2_relset_1(X3,X0,X1)
| ~ v1_funct_2(X3,X0,X1)
| ~ v1_funct_1(X3)
| ! [X4] :
( ~ m1_subset_1(X4,k5_finsub_1(X0))
| k1_funct_4(k2_partfun1(X0,X1,X2,X4),X3) = X3 ) ) ) ),
inference(ennf_transformation,[],[f5632]) ).
fof(f8643,plain,
! [X0,X1] :
( v1_xboole_0(X1)
| ! [X2] :
( ~ m2_relset_1(X2,X0,X1)
| ~ v1_funct_2(X2,X0,X1)
| ~ v1_funct_1(X2)
| ! [X3] :
( ~ m2_relset_1(X3,X0,X1)
| ~ v1_funct_2(X3,X0,X1)
| ~ v1_funct_1(X3)
| ! [X4] :
( ~ m1_subset_1(X4,k5_finsub_1(X0))
| k1_funct_4(k2_partfun1(X0,X1,X2,X4),X3) = X3 ) ) ) ),
inference(flattening,[],[f8642]) ).
fof(f8644,plain,
! [X0,X1] :
( v1_xboole_0(X1)
| ! [X2] :
( ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ! [X3] :
( ~ m2_relset_1(X3,X0,X1)
| ~ v1_funct_2(X3,X0,X1)
| ~ v1_funct_1(X3)
| ! [X4] :
( ~ m2_relset_1(X4,X0,X1)
| ~ v1_funct_2(X4,X0,X1)
| ~ v1_funct_1(X4)
| ? [X5] :
( m1_subset_1(X5,X0)
& r2_hidden(X5,X2)
& k1_funct_1(X3,X5) != k1_funct_1(X4,X5) )
| k1_funct_4(X4,k2_partfun1(X0,X1,X3,X2)) = X4 ) ) ) ),
inference(ennf_transformation,[],[f5630]) ).
fof(f8645,plain,
! [X0,X1] :
( v1_xboole_0(X1)
| ! [X2] :
( ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ! [X3] :
( ~ m2_relset_1(X3,X0,X1)
| ~ v1_funct_2(X3,X0,X1)
| ~ v1_funct_1(X3)
| ! [X4] :
( ~ m2_relset_1(X4,X0,X1)
| ~ v1_funct_2(X4,X0,X1)
| ~ v1_funct_1(X4)
| ? [X5] :
( m1_subset_1(X5,X0)
& r2_hidden(X5,X2)
& k1_funct_1(X3,X5) != k1_funct_1(X4,X5) )
| k1_funct_4(X4,k2_partfun1(X0,X1,X3,X2)) = X4 ) ) ) ),
inference(flattening,[],[f8644]) ).
fof(f8646,plain,
! [X0,X1] :
( v1_xboole_0(X1)
| ! [X2] :
( ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ! [X3] :
( ~ m2_relset_1(X3,X0,X1)
| ~ v1_funct_2(X3,X0,X1)
| ~ v1_funct_1(X3)
| k1_funct_4(X3,k2_partfun1(X0,X1,X3,X2)) = X3 ) ) ),
inference(ennf_transformation,[],[f5629]) ).
fof(f8647,plain,
! [X0,X1] :
( v1_xboole_0(X1)
| ! [X2] :
( ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ! [X3] :
( ~ m2_relset_1(X3,X0,X1)
| ~ v1_funct_2(X3,X0,X1)
| ~ v1_funct_1(X3)
| k1_funct_4(X3,k2_partfun1(X0,X1,X3,X2)) = X3 ) ) ),
inference(flattening,[],[f8646]) ).
fof(f8648,plain,
! [X0,X1] :
( v1_xboole_0(X1)
| ! [X2] :
( ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ! [X3] :
( ~ m2_relset_1(X3,X0,X1)
| ~ v1_funct_2(X3,X0,X1)
| ~ v1_funct_1(X3)
| ! [X4] :
( ~ m2_relset_1(X4,X0,X1)
| ~ v1_funct_2(X4,X0,X1)
| ~ v1_funct_1(X4)
| k1_funct_4(k2_partfun1(X0,X1,X3,X2),X4) = X4 ) ) ) ),
inference(ennf_transformation,[],[f5627]) ).
fof(f8649,plain,
! [X0,X1] :
( v1_xboole_0(X1)
| ! [X2] :
( ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ! [X3] :
( ~ m2_relset_1(X3,X0,X1)
| ~ v1_funct_2(X3,X0,X1)
| ~ v1_funct_1(X3)
| ! [X4] :
( ~ m2_relset_1(X4,X0,X1)
| ~ v1_funct_2(X4,X0,X1)
| ~ v1_funct_1(X4)
| k1_funct_4(k2_partfun1(X0,X1,X3,X2),X4) = X4 ) ) ) ),
inference(flattening,[],[f8648]) ).
fof(f8650,plain,
! [X0,X1] :
( v1_xboole_0(X1)
| ! [X2] :
( ~ m2_relset_1(X2,X0,X1)
| ~ v1_funct_2(X2,X0,X1)
| ~ v1_funct_1(X2)
| ! [X3] :
( ~ m2_relset_1(X3,X0,X1)
| ~ v1_funct_2(X3,X0,X1)
| ~ v1_funct_1(X3)
| ! [X4] :
( m2_relset_1(k1_funct_4(X2,k2_partfun1(X0,X1,X3,X4)),X0,X1)
& v1_funct_2(k1_funct_4(X2,k2_partfun1(X0,X1,X3,X4)),X0,X1)
& v1_funct_1(k1_funct_4(X2,k2_partfun1(X0,X1,X3,X4))) ) ) ) ),
inference(ennf_transformation,[],[f5626]) ).
fof(f8651,plain,
! [X0,X1] :
( v1_xboole_0(X1)
| ! [X2] :
( ~ m2_relset_1(X2,X0,X1)
| ~ v1_funct_2(X2,X0,X1)
| ~ v1_funct_1(X2)
| ! [X3] :
( ~ m2_relset_1(X3,X0,X1)
| ~ v1_funct_2(X3,X0,X1)
| ~ v1_funct_1(X3)
| ! [X4] :
( m2_relset_1(k1_funct_4(X2,k2_partfun1(X0,X1,X3,X4)),X0,X1)
& v1_funct_2(k1_funct_4(X2,k2_partfun1(X0,X1,X3,X4)),X0,X1)
& v1_funct_1(k1_funct_4(X2,k2_partfun1(X0,X1,X3,X4))) ) ) ) ),
inference(flattening,[],[f8650]) ).
fof(f8652,plain,
! [X0,X1] :
( v1_xboole_0(X1)
| ! [X2] :
( ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ! [X3] :
( ~ m2_relset_1(X3,X0,X1)
| ~ v1_funct_2(X3,X0,X1)
| ~ v1_funct_1(X3)
| ! [X4] :
( ~ m2_relset_1(X4,X0,X1)
| ~ v1_funct_2(X4,X0,X1)
| ~ v1_funct_1(X4)
| ( k2_partfun1(X0,X1,X3,X2) = k2_partfun1(X0,X1,X4,X2)
<=> ! [X5] :
( ~ m1_subset_1(X5,X0)
| ~ r2_hidden(X5,X2)
| k1_funct_1(X4,X5) = k1_funct_1(X3,X5) ) ) ) ) ) ),
inference(ennf_transformation,[],[f5625]) ).
fof(f8653,plain,
! [X0,X1] :
( v1_xboole_0(X1)
| ! [X2] :
( ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ! [X3] :
( ~ m2_relset_1(X3,X0,X1)
| ~ v1_funct_2(X3,X0,X1)
| ~ v1_funct_1(X3)
| ! [X4] :
( ~ m2_relset_1(X4,X0,X1)
| ~ v1_funct_2(X4,X0,X1)
| ~ v1_funct_1(X4)
| ( k2_partfun1(X0,X1,X3,X2) = k2_partfun1(X0,X1,X4,X2)
<=> ! [X5] :
( ~ m1_subset_1(X5,X0)
| ~ r2_hidden(X5,X2)
| k1_funct_1(X4,X5) = k1_funct_1(X3,X5) ) ) ) ) ) ),
inference(flattening,[],[f8652]) ).
fof(f8654,plain,
! [X0,X1] :
( v1_xboole_0(X1)
| ! [X2] :
( ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ! [X3] :
( ~ m2_relset_1(X3,X0,X1)
| ~ v1_funct_2(X3,X0,X1)
| ~ v1_funct_1(X3)
| k1_relat_1(k2_partfun1(X0,X1,X3,X2)) = X2 ) ) ),
inference(ennf_transformation,[],[f5622]) ).
fof(f8655,plain,
! [X0,X1] :
( v1_xboole_0(X1)
| ! [X2] :
( ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ! [X3] :
( ~ m2_relset_1(X3,X0,X1)
| ~ v1_funct_2(X3,X0,X1)
| ~ v1_funct_1(X3)
| k1_relat_1(k2_partfun1(X0,X1,X3,X2)) = X2 ) ) ),
inference(flattening,[],[f8654]) ).
fof(f8656,plain,
! [X0,X1,X2,X3] :
( v1_xboole_0(X3)
| ! [X4] :
( ~ m2_relset_1(X4,X0,X3)
| ~ v1_funct_2(X4,X0,X3)
| ~ v1_funct_1(X4)
| ~ r1_tarski(k2_funct_2(X0,X3,X4,X1),X2)
| ~ r1_tarski(X1,X0)
| ( m2_relset_1(k2_partfun1(X0,X3,X4,X1),X1,X2)
& v1_funct_2(k2_partfun1(X0,X3,X4,X1),X1,X2)
& v1_funct_1(k2_partfun1(X0,X3,X4,X1)) ) ) ),
inference(ennf_transformation,[],[f4288]) ).
fof(f8657,plain,
! [X0,X1,X2,X3] :
( v1_xboole_0(X3)
| ! [X4] :
( ~ m2_relset_1(X4,X0,X3)
| ~ v1_funct_2(X4,X0,X3)
| ~ v1_funct_1(X4)
| ~ r1_tarski(k2_funct_2(X0,X3,X4,X1),X2)
| ~ r1_tarski(X1,X0)
| ( m2_relset_1(k2_partfun1(X0,X3,X4,X1),X1,X2)
& v1_funct_2(k2_partfun1(X0,X3,X4,X1),X1,X2)
& v1_funct_1(k2_partfun1(X0,X3,X4,X1)) ) ) ),
inference(flattening,[],[f8656]) ).
fof(f8658,plain,
! [X0,X1,X2,X3] :
( ~ m2_relset_1(X3,X0,X1)
| ~ v1_funct_2(X3,X0,X1)
| ~ v1_funct_1(X3)
| ~ r1_tarski(X0,X2)
| k2_partfun1(X0,X1,X3,X2) = X3 ),
inference(ennf_transformation,[],[f1741]) ).
fof(f8659,plain,
! [X0,X1,X2,X3] :
( ~ m2_relset_1(X3,X0,X1)
| ~ v1_funct_2(X3,X0,X1)
| ~ v1_funct_1(X3)
| ~ r1_tarski(X0,X2)
| k2_partfun1(X0,X1,X3,X2) = X3 ),
inference(flattening,[],[f8658]) ).
fof(f8660,plain,
! [X0,X1,X2,X3] :
( ~ m2_relset_1(X3,X0,X1)
| ~ v1_funct_2(X3,X0,X1)
| ~ v1_funct_1(X3)
| ~ r1_tarski(X2,X0)
| ( m2_relset_1(k2_partfun1(X0,X1,X3,X2),X2,X1)
& v1_funct_2(k2_partfun1(X0,X1,X3,X2),X2,X1)
& v1_funct_1(k2_partfun1(X0,X1,X3,X2)) )
| ( X0 != k1_xboole_0
& X1 = k1_xboole_0 ) ),
inference(ennf_transformation,[],[f1739]) ).
fof(f8661,plain,
! [X0,X1,X2,X3] :
( ~ m2_relset_1(X3,X0,X1)
| ~ v1_funct_2(X3,X0,X1)
| ~ v1_funct_1(X3)
| ~ r1_tarski(X2,X0)
| ( m2_relset_1(k2_partfun1(X0,X1,X3,X2),X2,X1)
& v1_funct_2(k2_partfun1(X0,X1,X3,X2),X2,X1)
& v1_funct_1(k2_partfun1(X0,X1,X3,X2)) )
| ( X0 != k1_xboole_0
& X1 = k1_xboole_0 ) ),
inference(flattening,[],[f8660]) ).
fof(f8662,plain,
! [X0,X1,X2,X3] :
( ~ m1_relset_1(X2,X0,X1)
| ~ v1_funct_1(X2)
| k2_partfun1(X0,X1,X2,X3) = k7_relat_1(X2,X3) ),
inference(ennf_transformation,[],[f1555]) ).
fof(f8663,plain,
! [X0,X1,X2,X3] :
( ~ m1_relset_1(X2,X0,X1)
| ~ v1_funct_1(X2)
| k2_partfun1(X0,X1,X2,X3) = k7_relat_1(X2,X3) ),
inference(flattening,[],[f8662]) ).
fof(f8664,plain,
! [X0,X1,X2,X3] :
( ~ m1_relset_1(X2,X0,X1)
| ~ v1_funct_1(X2)
| ( m2_relset_1(k2_partfun1(X0,X1,X2,X3),X0,X1)
& v1_funct_1(k2_partfun1(X0,X1,X2,X3)) ) ),
inference(ennf_transformation,[],[f1554]) ).
fof(f8665,plain,
! [X0,X1,X2,X3] :
( ~ m1_relset_1(X2,X0,X1)
| ~ v1_funct_1(X2)
| ( m2_relset_1(k2_partfun1(X0,X1,X2,X3),X0,X1)
& v1_funct_1(k2_partfun1(X0,X1,X2,X3)) ) ),
inference(flattening,[],[f8664]) ).
fof(f8666,plain,
! [X0,X1,X2,X3] :
( ~ v1_funct_1(X3)
| ~ v1_relat_1(X3)
| k2_partfun1(X0,X1,k3_partfun1(X3,X0,X1),X2) = k3_partfun1(X3,k3_xboole_0(X0,X2),X1) ),
inference(ennf_transformation,[],[f1450]) ).
fof(f8667,plain,
! [X0,X1,X2,X3] :
( ~ v1_funct_1(X3)
| ~ v1_relat_1(X3)
| k2_partfun1(X0,X1,k3_partfun1(X3,X0,X1),X2) = k3_partfun1(X3,k3_xboole_0(X0,X2),X1) ),
inference(flattening,[],[f8666]) ).
fof(f8668,plain,
! [X0,X1,X2,X3,X4] :
( ~ m1_subset_1(X4,k4_xboole_0(X0,k5_realset1(X0,X3)))
| ~ m1_subset_1(X3,X0)
| ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| v1_realset1(X0)
| ( l3_vectsp_1(k1_realset2(X0,X1,X2,X3,X4))
& ~ v3_realset2(k1_realset2(X0,X1,X2,X3,X4))
& v3_vectsp_1(k1_realset2(X0,X1,X2,X3,X4)) ) ),
inference(ennf_transformation,[],[f5353]) ).
fof(f8669,plain,
! [X0,X1,X2,X3,X4] :
( ~ m1_subset_1(X4,k4_xboole_0(X0,k5_realset1(X0,X3)))
| ~ m1_subset_1(X3,X0)
| ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| v1_realset1(X0)
| ( l3_vectsp_1(k1_realset2(X0,X1,X2,X3,X4))
& ~ v3_realset2(k1_realset2(X0,X1,X2,X3,X4))
& v3_vectsp_1(k1_realset2(X0,X1,X2,X3,X4)) ) ),
inference(flattening,[],[f8668]) ).
fof(f8670,plain,
! [X0] :
( v1_realset1(X0)
| ! [X1] :
( ~ m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| ! [X2] :
( ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ! [X3] :
( ~ m1_subset_1(X3,X0)
| ! [X4] :
( ~ m1_subset_1(X4,k4_xboole_0(X0,k5_realset1(X0,X3)))
| ! [X5] :
( ~ l3_vectsp_1(X5)
| v3_realset2(X5)
| ~ v3_vectsp_1(X5)
| ( X5 = k1_realset2(X0,X1,X2,X3,X4)
<=> ( X4 = u1_vectsp_1(X5)
& X3 = u2_struct_0(X5)
& X2 = u1_group_1(X5)
& X1 = u1_rlvect_1(X5)
& X0 = u1_struct_0(X5) ) ) ) ) ) ) ) ),
inference(ennf_transformation,[],[f5313]) ).
fof(f8671,plain,
! [X0] :
( v1_realset1(X0)
| ! [X1] :
( ~ m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| ! [X2] :
( ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ! [X3] :
( ~ m1_subset_1(X3,X0)
| ! [X4] :
( ~ m1_subset_1(X4,k4_xboole_0(X0,k5_realset1(X0,X3)))
| ! [X5] :
( ~ l3_vectsp_1(X5)
| v3_realset2(X5)
| ~ v3_vectsp_1(X5)
| ( X5 = k1_realset2(X0,X1,X2,X3,X4)
<=> ( X4 = u1_vectsp_1(X5)
& X3 = u2_struct_0(X5)
& X2 = u1_group_1(X5)
& X1 = u1_rlvect_1(X5)
& X0 = u1_struct_0(X5) ) ) ) ) ) ) ) ),
inference(flattening,[],[f8670]) ).
fof(f8672,plain,
! [X0,X1,X2] :
( ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| ~ r1_tarski(X0,k10_relat_1(X2,X1))
| r1_tarski(k9_relat_1(X2,X0),X1) ),
inference(ennf_transformation,[],[f5832]) ).
fof(f8673,plain,
! [X0,X1,X2] :
( ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| ~ r1_tarski(X0,k10_relat_1(X2,X1))
| r1_tarski(k9_relat_1(X2,X0),X1) ),
inference(flattening,[],[f8672]) ).
fof(f8674,plain,
! [X0,X1] :
( ~ v1_finset_1(X0)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| v1_finset_1(k10_relat_1(X0,X1)) ),
inference(ennf_transformation,[],[f3251]) ).
fof(f8675,plain,
! [X0,X1] :
( ~ v1_finset_1(X0)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| v1_finset_1(k10_relat_1(X0,X1)) ),
inference(flattening,[],[f8674]) ).
fof(f8676,plain,
! [X0,X1,X2] :
( ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| k9_relat_1(X2,k4_xboole_0(X1,k10_relat_1(X2,X0))) = k4_xboole_0(k9_relat_1(X2,X1),X0) ),
inference(ennf_transformation,[],[f2442]) ).
fof(f8677,plain,
! [X0,X1,X2] :
( ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| k9_relat_1(X2,k4_xboole_0(X1,k10_relat_1(X2,X0))) = k4_xboole_0(k9_relat_1(X2,X1),X0) ),
inference(flattening,[],[f8676]) ).
fof(f8678,plain,
! [X0,X1] :
( ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ~ v1_finset_1(k10_relat_1(X1,X0))
| ~ r1_tarski(X0,k2_relat_1(X1))
| v1_finset_1(X0) ),
inference(ennf_transformation,[],[f2364]) ).
fof(f8679,plain,
! [X0,X1] :
( ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ~ v1_finset_1(k10_relat_1(X1,X0))
| ~ r1_tarski(X0,k2_relat_1(X1))
| v1_finset_1(X0) ),
inference(flattening,[],[f8678]) ).
fof(f8680,plain,
! [X0,X1,X2,X3] :
( ~ m2_relset_1(X3,X0,X1)
| ~ v1_funct_1(X3)
| r1_tarski(k10_relat_1(X3,X2),X0) ),
inference(ennf_transformation,[],[f1748]) ).
fof(f8681,plain,
! [X0,X1,X2,X3] :
( ~ m2_relset_1(X3,X0,X1)
| ~ v1_funct_1(X3)
| r1_tarski(k10_relat_1(X3,X2),X0) ),
inference(flattening,[],[f8680]) ).
fof(f8682,plain,
! [X0,X1,X2,X3] :
( ~ m2_relset_1(X3,X0,X1)
| ~ v1_funct_2(X3,X0,X1)
| ~ v1_funct_1(X3)
| k1_xboole_0 = X1
| ! [X4] :
( r2_hidden(X4,k10_relat_1(X3,X2))
<=> ( r2_hidden(k1_funct_1(X3,X4),X2)
& r2_hidden(X4,X0) ) ) ),
inference(ennf_transformation,[],[f1747]) ).
fof(f8683,plain,
! [X0,X1,X2,X3] :
( ~ m2_relset_1(X3,X0,X1)
| ~ v1_funct_2(X3,X0,X1)
| ~ v1_funct_1(X3)
| k1_xboole_0 = X1
| ! [X4] :
( r2_hidden(X4,k10_relat_1(X3,X2))
<=> ( r2_hidden(k1_funct_1(X3,X4),X2)
& r2_hidden(X4,X0) ) ) ),
inference(flattening,[],[f8682]) ).
fof(f8684,plain,
! [X0,X1,X2] :
( ~ m2_relset_1(X2,X0,k1_xboole_0)
| ~ v1_funct_1(X2)
| k10_relat_1(X2,X1) = k1_xboole_0 ),
inference(ennf_transformation,[],[f1419]) ).
fof(f8685,plain,
! [X0,X1,X2] :
( ~ m2_relset_1(X2,X0,k1_xboole_0)
| ~ v1_funct_1(X2)
| k10_relat_1(X2,X1) = k1_xboole_0 ),
inference(flattening,[],[f8684]) ).
fof(f8686,plain,
! [X0,X1,X2] :
( ~ m2_relset_1(X2,k1_xboole_0,X0)
| ~ v1_funct_1(X2)
| k10_relat_1(X2,X1) = k1_xboole_0 ),
inference(ennf_transformation,[],[f1412]) ).
fof(f8687,plain,
! [X0,X1,X2] :
( ~ m2_relset_1(X2,k1_xboole_0,X0)
| ~ v1_funct_1(X2)
| k10_relat_1(X2,X1) = k1_xboole_0 ),
inference(flattening,[],[f8686]) ).
fof(f8688,plain,
! [X0,X1,X2] :
( ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| ~ r1_tarski(X1,k2_relat_1(X2))
| ~ r1_tarski(X0,k2_relat_1(X2))
| k10_relat_1(X2,X1) != k10_relat_1(X2,X0)
| X0 = X1 ),
inference(ennf_transformation,[],[f1100]) ).
fof(f8689,plain,
! [X0,X1,X2] :
( ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| ~ r1_tarski(X1,k2_relat_1(X2))
| ~ r1_tarski(X0,k2_relat_1(X2))
| k10_relat_1(X2,X1) != k10_relat_1(X2,X0)
| X0 = X1 ),
inference(flattening,[],[f8688]) ).
fof(f8690,plain,
! [X0,X1,X2] :
( ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| ~ r1_tarski(X0,k2_relat_1(X2))
| ~ r1_tarski(k10_relat_1(X2,X0),k10_relat_1(X2,X1))
| r1_tarski(X0,X1) ),
inference(ennf_transformation,[],[f1097]) ).
fof(f8691,plain,
! [X0,X1,X2] :
( ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| ~ r1_tarski(X0,k2_relat_1(X2))
| ~ r1_tarski(k10_relat_1(X2,X0),k10_relat_1(X2,X1))
| r1_tarski(X0,X1) ),
inference(flattening,[],[f8690]) ).
fof(f8692,plain,
! [X0,X1,X2] :
( ~ v1_relat_1(X2)
| r1_tarski(k3_xboole_0(X0,k10_relat_1(X2,X1)),k10_relat_1(X2,k3_xboole_0(k9_relat_1(X2,X0),X1))) ),
inference(ennf_transformation,[],[f1090]) ).
fof(f8693,plain,
! [X0,X1,X2] :
( ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| k9_relat_1(X2,k3_xboole_0(X0,k10_relat_1(X2,X1))) = k3_xboole_0(k9_relat_1(X2,X0),X1) ),
inference(ennf_transformation,[],[f1089]) ).
fof(f8694,plain,
! [X0,X1,X2] :
( ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| k9_relat_1(X2,k3_xboole_0(X0,k10_relat_1(X2,X1))) = k3_xboole_0(k9_relat_1(X2,X0),X1) ),
inference(flattening,[],[f8693]) ).
fof(f8695,plain,
! [X0,X1,X2] :
( ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| r1_tarski(k9_relat_1(X2,k3_xboole_0(X0,k10_relat_1(X2,X1))),k3_xboole_0(k9_relat_1(X2,X0),X1)) ),
inference(ennf_transformation,[],[f1088]) ).
fof(f8696,plain,
! [X0,X1,X2] :
( ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| r1_tarski(k9_relat_1(X2,k3_xboole_0(X0,k10_relat_1(X2,X1))),k3_xboole_0(k9_relat_1(X2,X0),X1)) ),
inference(flattening,[],[f8695]) ).
fof(f8697,plain,
! [X0,X1] :
( ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| k9_relat_1(X1,k10_relat_1(X1,X0)) = k3_xboole_0(X0,k9_relat_1(X1,k1_relat_1(X1))) ),
inference(ennf_transformation,[],[f1087]) ).
fof(f8698,plain,
! [X0,X1] :
( ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| k9_relat_1(X1,k10_relat_1(X1,X0)) = k3_xboole_0(X0,k9_relat_1(X1,k1_relat_1(X1))) ),
inference(flattening,[],[f8697]) ).
fof(f8699,plain,
! [X0,X1] :
( ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ~ r1_tarski(X0,k2_relat_1(X1))
| k9_relat_1(X1,k10_relat_1(X1,X0)) = X0 ),
inference(ennf_transformation,[],[f1086]) ).
fof(f8700,plain,
! [X0,X1] :
( ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ~ r1_tarski(X0,k2_relat_1(X1))
| k9_relat_1(X1,k10_relat_1(X1,X0)) = X0 ),
inference(flattening,[],[f8699]) ).
fof(f8701,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| ~ r1_tarski(X0,k1_relat_1(X1))
| r1_tarski(X0,k10_relat_1(X1,k9_relat_1(X1,X0))) ),
inference(ennf_transformation,[],[f1085]) ).
fof(f8702,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| ~ r1_tarski(X0,k1_relat_1(X1))
| r1_tarski(X0,k10_relat_1(X1,k9_relat_1(X1,X0))) ),
inference(flattening,[],[f8701]) ).
fof(f8703,plain,
! [X0,X1] :
( ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| r1_tarski(k9_relat_1(X1,k10_relat_1(X1,X0)),X0) ),
inference(ennf_transformation,[],[f1084]) ).
fof(f8704,plain,
! [X0,X1] :
( ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| r1_tarski(k9_relat_1(X1,k10_relat_1(X1,X0)),X0) ),
inference(flattening,[],[f8703]) ).
fof(f8705,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| ? [X2] :
( k10_relat_1(X1,k1_tarski(X2)) = k1_xboole_0
& r2_hidden(X2,X0) )
| r1_tarski(X0,k2_relat_1(X1)) ),
inference(ennf_transformation,[],[f1082]) ).
fof(f8706,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| ? [X2] :
( k10_relat_1(X1,k1_tarski(X2)) = k1_xboole_0
& r2_hidden(X2,X0) )
| r1_tarski(X0,k2_relat_1(X1)) ),
inference(flattening,[],[f8705]) ).
fof(f8707,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| ( r2_hidden(X0,k2_relat_1(X1))
<=> k10_relat_1(X1,k1_tarski(X0)) != k1_xboole_0 ) ),
inference(ennf_transformation,[],[f1081]) ).
fof(f8708,plain,
! [X0,X1,X2] :
( ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| k10_relat_1(X2,k4_xboole_0(X0,X1)) = k4_xboole_0(k10_relat_1(X2,X0),k10_relat_1(X2,X1)) ),
inference(ennf_transformation,[],[f1077]) ).
fof(f8709,plain,
! [X0,X1,X2] :
( ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| k10_relat_1(X2,k4_xboole_0(X0,X1)) = k4_xboole_0(k10_relat_1(X2,X0),k10_relat_1(X2,X1)) ),
inference(flattening,[],[f8708]) ).
fof(f8710,plain,
! [X0,X1,X2] :
( ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| k10_relat_1(X2,k3_xboole_0(X0,X1)) = k3_xboole_0(k10_relat_1(X2,X0),k10_relat_1(X2,X1)) ),
inference(ennf_transformation,[],[f1076]) ).
fof(f8711,plain,
! [X0,X1,X2] :
( ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| k10_relat_1(X2,k3_xboole_0(X0,X1)) = k3_xboole_0(k10_relat_1(X2,X0),k10_relat_1(X2,X1)) ),
inference(flattening,[],[f8710]) ).
fof(f8712,plain,
! [X0] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ! [X1,X2] :
( X2 = k10_relat_1(X0,X1)
<=> ! [X3] :
( r2_hidden(X3,X2)
<=> ( r2_hidden(k1_funct_1(X0,X3),X1)
& r2_hidden(X3,k1_relat_1(X0)) ) ) ) ),
inference(ennf_transformation,[],[f1065]) ).
fof(f8713,plain,
! [X0] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ! [X1,X2] :
( X2 = k10_relat_1(X0,X1)
<=> ! [X3] :
( r2_hidden(X3,X2)
<=> ( r2_hidden(k1_funct_1(X0,X3),X1)
& r2_hidden(X3,k1_relat_1(X0)) ) ) ) ),
inference(flattening,[],[f8712]) ).
fof(f8714,plain,
! [X0,X1,X2] :
( ~ v1_relat_1(X2)
| ! [X3] :
( ~ v1_relat_1(X3)
| ~ r1_tarski(X0,X1)
| ~ r1_tarski(X2,X3)
| r1_tarski(k10_relat_1(X2,X0),k10_relat_1(X3,X1)) ) ),
inference(ennf_transformation,[],[f890]) ).
fof(f8715,plain,
! [X0,X1,X2] :
( ~ v1_relat_1(X2)
| ! [X3] :
( ~ v1_relat_1(X3)
| ~ r1_tarski(X0,X1)
| ~ r1_tarski(X2,X3)
| r1_tarski(k10_relat_1(X2,X0),k10_relat_1(X3,X1)) ) ),
inference(flattening,[],[f8714]) ).
fof(f8716,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| ! [X2] :
( ~ v1_relat_1(X2)
| ~ r1_tarski(X1,X2)
| r1_tarski(k10_relat_1(X1,X0),k10_relat_1(X2,X0)) ) ),
inference(ennf_transformation,[],[f889]) ).
fof(f8717,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| ! [X2] :
( ~ v1_relat_1(X2)
| ~ r1_tarski(X1,X2)
| r1_tarski(k10_relat_1(X1,X0),k10_relat_1(X2,X0)) ) ),
inference(flattening,[],[f8716]) ).
fof(f8718,plain,
! [X0,X1,X2] :
( ~ v1_relat_1(X2)
| ~ r1_tarski(X0,X1)
| r1_tarski(k10_relat_1(X2,X0),k10_relat_1(X2,X1)) ),
inference(ennf_transformation,[],[f888]) ).
fof(f8719,plain,
! [X0,X1,X2] :
( ~ v1_relat_1(X2)
| ~ r1_tarski(X0,X1)
| r1_tarski(k10_relat_1(X2,X0),k10_relat_1(X2,X1)) ),
inference(flattening,[],[f8718]) ).
fof(f8720,plain,
! [X0,X1,X2] :
( ~ v1_relat_1(X2)
| r1_tarski(k4_xboole_0(k10_relat_1(X2,X0),k10_relat_1(X2,X1)),k10_relat_1(X2,k4_xboole_0(X0,X1))) ),
inference(ennf_transformation,[],[f887]) ).
fof(f8721,plain,
! [X0,X1,X2] :
( ~ v1_relat_1(X2)
| r1_tarski(k10_relat_1(X2,k3_xboole_0(X0,X1)),k3_xboole_0(k10_relat_1(X2,X0),k10_relat_1(X2,X1))) ),
inference(ennf_transformation,[],[f886]) ).
fof(f8722,plain,
! [X0,X1,X2] :
( ~ v1_relat_1(X2)
| k10_relat_1(X2,k2_xboole_0(X0,X1)) = k2_xboole_0(k10_relat_1(X2,X0),k10_relat_1(X2,X1)) ),
inference(ennf_transformation,[],[f885]) ).
fof(f8723,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| k1_xboole_0 != k10_relat_1(X1,X0)
| ~ r1_tarski(X0,k2_relat_1(X1))
| k1_xboole_0 = X0 ),
inference(ennf_transformation,[],[f884]) ).
fof(f8724,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| k1_xboole_0 != k10_relat_1(X1,X0)
| ~ r1_tarski(X0,k2_relat_1(X1))
| k1_xboole_0 = X0 ),
inference(flattening,[],[f8723]) ).
fof(f8725,plain,
! [X0] :
( ~ v1_relat_1(X0)
| k10_relat_1(X0,k1_xboole_0) = k1_xboole_0 ),
inference(ennf_transformation,[],[f881]) ).
fof(f8726,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| r1_tarski(k10_relat_1(X1,X0),k10_relat_1(X1,k2_relat_1(X1))) ),
inference(ennf_transformation,[],[f880]) ).
fof(f8727,plain,
! [X0] :
( ~ v1_relat_1(X0)
| k10_relat_1(X0,k2_relat_1(X0)) = k1_relat_1(X0) ),
inference(ennf_transformation,[],[f879]) ).
fof(f8728,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| k10_relat_1(X1,X0) = k10_relat_1(X1,k3_xboole_0(k2_relat_1(X1),X0)) ),
inference(ennf_transformation,[],[f878]) ).
fof(f8729,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| r1_tarski(k10_relat_1(X1,X0),k1_relat_1(X1)) ),
inference(ennf_transformation,[],[f877]) ).
fof(f8730,plain,
! [X0,X1,X2] :
( ~ v1_relat_1(X2)
| ( r2_hidden(X0,k10_relat_1(X2,X1))
<=> ? [X3] :
( r2_hidden(X3,X1)
& r2_hidden(k4_tarski(X0,X3),X2)
& r2_hidden(X3,k2_relat_1(X2)) ) ) ),
inference(ennf_transformation,[],[f876]) ).
fof(f8731,plain,
! [X0] :
( ~ v1_relat_1(X0)
| ! [X1,X2] :
( X2 = k10_relat_1(X0,X1)
<=> ! [X3] :
( r2_hidden(X3,X2)
<=> ? [X4] :
( r2_hidden(X4,X1)
& r2_hidden(k4_tarski(X3,X4),X0) ) ) ) ),
inference(ennf_transformation,[],[f873]) ).
fof(f8734,plain,
! [X0,X1] :
( ~ v1_finset_1(X1)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| v1_finset_1(k9_relat_1(X0,X1)) ),
inference(ennf_transformation,[],[f2331]) ).
fof(f8735,plain,
! [X0,X1] :
( ~ v1_finset_1(X1)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| v1_finset_1(k9_relat_1(X0,X1)) ),
inference(flattening,[],[f8734]) ).
fof(f8736,plain,
! [X0,X1,X2,X3] :
( ~ m2_relset_1(X3,X0,X1)
| ~ v1_funct_2(X3,X0,X1)
| ~ v1_funct_1(X3)
| r1_tarski(k9_relat_1(X3,X2),X1) ),
inference(ennf_transformation,[],[f1745]) ).
fof(f8737,plain,
! [X0,X1,X2,X3] :
( ~ m2_relset_1(X3,X0,X1)
| ~ v1_funct_2(X3,X0,X1)
| ~ v1_funct_1(X3)
| r1_tarski(k9_relat_1(X3,X2),X1) ),
inference(flattening,[],[f8736]) ).
fof(f8738,plain,
! [X0,X1,X2,X3] :
( ~ m2_relset_1(X3,X0,X1)
| ~ v1_funct_2(X3,X0,X1)
| ~ v1_funct_1(X3)
| k1_xboole_0 = X1
| ! [X4] :
( ! [X5] :
( k1_funct_1(X3,X5) != X4
| ~ r2_hidden(X5,X2)
| ~ r2_hidden(X5,X0) )
| r2_hidden(X4,k9_relat_1(X3,X2)) ) ),
inference(ennf_transformation,[],[f1744]) ).
fof(f8739,plain,
! [X0,X1,X2,X3] :
( ~ m2_relset_1(X3,X0,X1)
| ~ v1_funct_2(X3,X0,X1)
| ~ v1_funct_1(X3)
| k1_xboole_0 = X1
| ! [X4] :
( ! [X5] :
( k1_funct_1(X3,X5) != X4
| ~ r2_hidden(X5,X2)
| ~ r2_hidden(X5,X0) )
| r2_hidden(X4,k9_relat_1(X3,X2)) ) ),
inference(flattening,[],[f8738]) ).
fof(f8740,plain,
! [X0,X1,X2,X3] :
( ~ m2_relset_1(X3,k1_tarski(X0),X1)
| ~ v1_funct_1(X3)
| r1_tarski(k9_relat_1(X3,X2),k1_tarski(k1_funct_1(X3,X0))) ),
inference(ennf_transformation,[],[f1422]) ).
fof(f8741,plain,
! [X0,X1,X2,X3] :
( ~ m2_relset_1(X3,k1_tarski(X0),X1)
| ~ v1_funct_1(X3)
| r1_tarski(k9_relat_1(X3,X2),k1_tarski(k1_funct_1(X3,X0))) ),
inference(flattening,[],[f8740]) ).
fof(f8742,plain,
! [X0,X1,X2] :
( ~ m2_relset_1(X2,X0,k1_xboole_0)
| ~ v1_funct_1(X2)
| k9_relat_1(X2,X1) = k1_xboole_0 ),
inference(ennf_transformation,[],[f1418]) ).
fof(f8743,plain,
! [X0,X1,X2] :
( ~ m2_relset_1(X2,X0,k1_xboole_0)
| ~ v1_funct_1(X2)
| k9_relat_1(X2,X1) = k1_xboole_0 ),
inference(flattening,[],[f8742]) ).
fof(f8744,plain,
! [X0,X1,X2] :
( ~ m2_relset_1(X2,k1_xboole_0,X0)
| ~ v1_funct_1(X2)
| k9_relat_1(X2,X1) = k1_xboole_0 ),
inference(ennf_transformation,[],[f1411]) ).
fof(f8745,plain,
! [X0,X1,X2] :
( ~ m2_relset_1(X2,k1_xboole_0,X0)
| ~ v1_funct_1(X2)
| k9_relat_1(X2,X1) = k1_xboole_0 ),
inference(flattening,[],[f8744]) ).
fof(f8746,plain,
! [X0,X1,X2] :
( ~ m2_relset_1(X2,X0,X1)
| ~ v1_funct_1(X2)
| k9_relat_1(X2,X0) = k2_relat_1(X2) ),
inference(ennf_transformation,[],[f1402]) ).
fof(f8747,plain,
! [X0,X1,X2] :
( ~ m2_relset_1(X2,X0,X1)
| ~ v1_funct_1(X2)
| k9_relat_1(X2,X0) = k2_relat_1(X2) ),
inference(flattening,[],[f8746]) ).
fof(f8748,plain,
! [X0,X1] :
( ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ~ r2_hidden(X0,k1_relat_1(X1))
| k9_relat_1(X1,k1_tarski(X0)) = k1_tarski(k1_funct_1(X1,X0)) ),
inference(ennf_transformation,[],[f1055]) ).
fof(f8749,plain,
! [X0,X1] :
( ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ~ r2_hidden(X0,k1_relat_1(X1))
| k9_relat_1(X1,k1_tarski(X0)) = k1_tarski(k1_funct_1(X1,X0)) ),
inference(flattening,[],[f8748]) ).
fof(f8750,plain,
! [X0] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ! [X1,X2] :
( X2 = k9_relat_1(X0,X1)
<=> ! [X3] :
( r2_hidden(X3,X2)
<=> ? [X4] :
( X3 = k1_funct_1(X0,X4)
& r2_hidden(X4,X1)
& r2_hidden(X4,k1_relat_1(X0)) ) ) ) ),
inference(ennf_transformation,[],[f1037]) ).
fof(f8751,plain,
! [X0] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ! [X1,X2] :
( X2 = k9_relat_1(X0,X1)
<=> ! [X3] :
( r2_hidden(X3,X2)
<=> ? [X4] :
( X3 = k1_funct_1(X0,X4)
& r2_hidden(X4,X1)
& r2_hidden(X4,k1_relat_1(X0)) ) ) ) ),
inference(flattening,[],[f8750]) ).
fof(f8752,plain,
! [X0,X1,X2] :
( ~ v1_relat_1(X2)
| ! [X3] :
( ~ v1_relat_1(X3)
| ~ r1_tarski(X0,X1)
| ~ r1_tarski(X2,X3)
| r1_tarski(k9_relat_1(X2,X0),k9_relat_1(X3,X1)) ) ),
inference(ennf_transformation,[],[f867]) ).
fof(f8753,plain,
! [X0,X1,X2] :
( ~ v1_relat_1(X2)
| ! [X3] :
( ~ v1_relat_1(X3)
| ~ r1_tarski(X0,X1)
| ~ r1_tarski(X2,X3)
| r1_tarski(k9_relat_1(X2,X0),k9_relat_1(X3,X1)) ) ),
inference(flattening,[],[f8752]) ).
fof(f8754,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| ! [X2] :
( ~ v1_relat_1(X2)
| ~ r1_tarski(X1,X2)
| r1_tarski(k9_relat_1(X1,X0),k9_relat_1(X2,X0)) ) ),
inference(ennf_transformation,[],[f866]) ).
fof(f8755,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| ! [X2] :
( ~ v1_relat_1(X2)
| ~ r1_tarski(X1,X2)
| r1_tarski(k9_relat_1(X1,X0),k9_relat_1(X2,X0)) ) ),
inference(flattening,[],[f8754]) ).
fof(f8756,plain,
! [X0,X1,X2] :
( ~ v1_relat_1(X2)
| ~ r1_tarski(X0,X1)
| r1_tarski(k9_relat_1(X2,X0),k9_relat_1(X2,X1)) ),
inference(ennf_transformation,[],[f865]) ).
fof(f8757,plain,
! [X0,X1,X2] :
( ~ v1_relat_1(X2)
| ~ r1_tarski(X0,X1)
| r1_tarski(k9_relat_1(X2,X0),k9_relat_1(X2,X1)) ),
inference(flattening,[],[f8756]) ).
fof(f8758,plain,
! [X0,X1,X2] :
( ~ v1_relat_1(X2)
| r1_tarski(k4_xboole_0(k9_relat_1(X2,X0),k9_relat_1(X2,X1)),k9_relat_1(X2,k4_xboole_0(X0,X1))) ),
inference(ennf_transformation,[],[f864]) ).
fof(f8759,plain,
! [X0,X1,X2] :
( ~ v1_relat_1(X2)
| r1_tarski(k9_relat_1(X2,k3_xboole_0(X0,X1)),k3_xboole_0(k9_relat_1(X2,X0),k9_relat_1(X2,X1))) ),
inference(ennf_transformation,[],[f863]) ).
fof(f8760,plain,
! [X0,X1,X2] :
( ~ v1_relat_1(X2)
| k9_relat_1(X2,k2_xboole_0(X0,X1)) = k2_xboole_0(k9_relat_1(X2,X0),k9_relat_1(X2,X1)) ),
inference(ennf_transformation,[],[f862]) ).
fof(f8761,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| k1_xboole_0 != k9_relat_1(X1,X0)
| ~ r1_tarski(X0,k1_relat_1(X1))
| k1_xboole_0 = X0 ),
inference(ennf_transformation,[],[f861]) ).
fof(f8762,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| k1_xboole_0 != k9_relat_1(X1,X0)
| ~ r1_tarski(X0,k1_relat_1(X1))
| k1_xboole_0 = X0 ),
inference(flattening,[],[f8761]) ).
fof(f8763,plain,
! [X0] :
( ~ v1_relat_1(X0)
| k9_relat_1(X0,k1_xboole_0) = k1_xboole_0 ),
inference(ennf_transformation,[],[f858]) ).
fof(f8764,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| r1_tarski(k9_relat_1(X1,X0),k9_relat_1(X1,k1_relat_1(X1))) ),
inference(ennf_transformation,[],[f856]) ).
fof(f8765,plain,
! [X0] :
( ~ v1_relat_1(X0)
| k9_relat_1(X0,k1_relat_1(X0)) = k2_relat_1(X0) ),
inference(ennf_transformation,[],[f855]) ).
fof(f8766,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| k9_relat_1(X1,X0) = k9_relat_1(X1,k3_xboole_0(k1_relat_1(X1),X0)) ),
inference(ennf_transformation,[],[f854]) ).
fof(f8767,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| r1_tarski(k9_relat_1(X1,X0),k2_relat_1(X1)) ),
inference(ennf_transformation,[],[f853]) ).
fof(f8768,plain,
! [X0,X1,X2] :
( ~ v1_relat_1(X2)
| ( r2_hidden(X0,k9_relat_1(X2,X1))
<=> ? [X3] :
( r2_hidden(X3,X1)
& r2_hidden(k4_tarski(X3,X0),X2)
& r2_hidden(X3,k1_relat_1(X2)) ) ) ),
inference(ennf_transformation,[],[f852]) ).
fof(f8769,plain,
! [X0] :
( ~ v1_relat_1(X0)
| ! [X1,X2] :
( X2 = k9_relat_1(X0,X1)
<=> ! [X3] :
( r2_hidden(X3,X2)
<=> ? [X4] :
( r2_hidden(X4,X1)
& r2_hidden(k4_tarski(X4,X3),X0) ) ) ) ),
inference(ennf_transformation,[],[f849]) ).
fof(f8770,plain,
! [X0] :
( v1_xboole_0(X0)
| ! [X1] :
( v1_xboole_0(X1)
| ! [X2] :
( ~ m2_relset_1(X2,X1,X0)
| ~ v1_funct_2(X2,X1,X0)
| ~ v1_funct_1(X2)
| ! [X3] :
( ~ m1_subset_1(X3,k5_finsub_1(X1))
| k1_xboole_0 != k2_funct_2(X1,X0,X2,X3)
| X3 = k1_xboole_0 ) ) ) ),
inference(ennf_transformation,[],[f2450]) ).
fof(f8771,plain,
! [X0] :
( v1_xboole_0(X0)
| ! [X1] :
( v1_xboole_0(X1)
| ! [X2] :
( ~ m2_relset_1(X2,X1,X0)
| ~ v1_funct_2(X2,X1,X0)
| ~ v1_funct_1(X2)
| ! [X3] :
( ~ m1_subset_1(X3,k5_finsub_1(X1))
| k1_xboole_0 != k2_funct_2(X1,X0,X2,X3)
| X3 = k1_xboole_0 ) ) ) ),
inference(flattening,[],[f8770]) ).
fof(f8772,plain,
! [X0] :
( v1_xboole_0(X0)
| ! [X1] :
( v1_xboole_0(X1)
| ! [X2] :
( ~ m1_subset_1(X2,k5_finsub_1(X0))
| ! [X3,X4] :
( ~ m2_relset_1(X4,X0,X1)
| ~ v1_funct_2(X4,X0,X1)
| ~ v1_funct_1(X4)
| ? [X5] :
( m1_subset_1(X5,X0)
& r2_hidden(X5,X2)
& ~ r2_hidden(k8_funct_2(X0,X1,X4,X5),X3) )
| r1_tarski(k2_funct_2(X0,X1,X4,X2),X3) ) ) ) ),
inference(ennf_transformation,[],[f2446]) ).
fof(f8773,plain,
! [X0] :
( v1_xboole_0(X0)
| ! [X1] :
( v1_xboole_0(X1)
| ! [X2] :
( ~ m1_subset_1(X2,k5_finsub_1(X0))
| ! [X3,X4] :
( ~ m2_relset_1(X4,X0,X1)
| ~ v1_funct_2(X4,X0,X1)
| ~ v1_funct_1(X4)
| ? [X5] :
( m1_subset_1(X5,X0)
& r2_hidden(X5,X2)
& ~ r2_hidden(k8_funct_2(X0,X1,X4,X5),X3) )
| r1_tarski(k2_funct_2(X0,X1,X4,X2),X3) ) ) ) ),
inference(flattening,[],[f8772]) ).
fof(f8774,plain,
! [X0] :
( v1_xboole_0(X0)
| ! [X1] :
( v1_xboole_0(X1)
| ! [X2] :
( ~ m2_relset_1(X2,X1,X0)
| ~ v1_funct_2(X2,X1,X0)
| ~ v1_funct_1(X2)
| ! [X3] :
( ~ m1_subset_1(X3,X1)
| k2_funct_2(X1,X0,X2,k1_tarski(X3)) = k1_tarski(k8_funct_2(X1,X0,X2,X3)) ) ) ) ),
inference(ennf_transformation,[],[f2444]) ).
fof(f8775,plain,
! [X0] :
( v1_xboole_0(X0)
| ! [X1] :
( v1_xboole_0(X1)
| ! [X2] :
( ~ m2_relset_1(X2,X1,X0)
| ~ v1_funct_2(X2,X1,X0)
| ~ v1_funct_1(X2)
| ! [X3] :
( ~ m1_subset_1(X3,X1)
| k2_funct_2(X1,X0,X2,k1_tarski(X3)) = k1_tarski(k8_funct_2(X1,X0,X2,X3)) ) ) ) ),
inference(flattening,[],[f8774]) ).
fof(f8776,plain,
! [X0,X1,X2] :
( v1_xboole_0(X2)
| ! [X3] :
( ~ m2_relset_1(X3,X0,X2)
| ~ v1_funct_2(X3,X0,X2)
| ~ v1_funct_1(X3)
| ~ r1_tarski(X1,k1_zfmisc_1(X0))
| k2_funct_2(X0,X2,X3,k3_tarski(X1)) = k3_tarski(k9_relat_1(k1_funct_3(X3),X1)) ) ),
inference(ennf_transformation,[],[f1921]) ).
fof(f8777,plain,
! [X0,X1,X2] :
( v1_xboole_0(X2)
| ! [X3] :
( ~ m2_relset_1(X3,X0,X2)
| ~ v1_funct_2(X3,X0,X2)
| ~ v1_funct_1(X3)
| ~ r1_tarski(X1,k1_zfmisc_1(X0))
| k2_funct_2(X0,X2,X3,k3_tarski(X1)) = k3_tarski(k9_relat_1(k1_funct_3(X3),X1)) ) ),
inference(flattening,[],[f8776]) ).
fof(f8778,plain,
! [X0,X1,X2,X3] :
( ~ m1_relset_1(X2,X0,X1)
| ~ v1_funct_2(X2,X0,X1)
| ~ v1_funct_1(X2)
| k2_funct_2(X0,X1,X2,X3) = k9_relat_1(X2,X3) ),
inference(ennf_transformation,[],[f1890]) ).
fof(f8779,plain,
! [X0,X1,X2,X3] :
( ~ m1_relset_1(X2,X0,X1)
| ~ v1_funct_2(X2,X0,X1)
| ~ v1_funct_1(X2)
| k2_funct_2(X0,X1,X2,X3) = k9_relat_1(X2,X3) ),
inference(flattening,[],[f8778]) ).
fof(f8780,plain,
! [X0,X1,X2,X3] :
( ~ m1_relset_1(X2,X0,X1)
| ~ v1_funct_2(X2,X0,X1)
| ~ v1_funct_1(X2)
| m1_subset_1(k2_funct_2(X0,X1,X2,X3),k1_zfmisc_1(X1)) ),
inference(ennf_transformation,[],[f1889]) ).
fof(f8781,plain,
! [X0,X1,X2,X3] :
( ~ m1_relset_1(X2,X0,X1)
| ~ v1_funct_2(X2,X0,X1)
| ~ v1_funct_1(X2)
| m1_subset_1(k2_funct_2(X0,X1,X2,X3),k1_zfmisc_1(X1)) ),
inference(flattening,[],[f8780]) ).
fof(f8782,plain,
! [X0,X1,X2,X3] :
( ~ m2_relset_1(X3,X0,X1)
| ~ v1_funct_2(X3,X0,X1)
| ~ v1_funct_1(X3)
| ! [X4] :
( ? [X5] :
( m1_subset_1(X5,X0)
& X4 = k1_funct_1(X3,X5)
& r2_hidden(X5,X2) )
| ~ r2_hidden(X4,k2_funct_2(X0,X1,X3,X2)) ) ),
inference(ennf_transformation,[],[f1819]) ).
fof(f8783,plain,
! [X0,X1,X2,X3] :
( ~ m2_relset_1(X3,X0,X1)
| ~ v1_funct_2(X3,X0,X1)
| ~ v1_funct_1(X3)
| ! [X4] :
( ? [X5] :
( m1_subset_1(X5,X0)
& X4 = k1_funct_1(X3,X5)
& r2_hidden(X5,X2) )
| ~ r2_hidden(X4,k2_funct_2(X0,X1,X3,X2)) ) ),
inference(flattening,[],[f8782]) ).
fof(f8784,plain,
! [X0,X1,X2,X3] :
( ~ m2_relset_1(X3,X0,X1)
| ~ v1_funct_2(X3,X0,X1)
| ~ v1_funct_1(X3)
| ! [X4] :
( ? [X5] :
( X4 = k1_funct_1(X3,X5)
& r2_hidden(X5,X2)
& r2_hidden(X5,X0) )
| ~ r2_hidden(X4,k2_funct_2(X0,X1,X3,X2)) ) ),
inference(ennf_transformation,[],[f1818]) ).
fof(f8785,plain,
! [X0,X1,X2,X3] :
( ~ m2_relset_1(X3,X0,X1)
| ~ v1_funct_2(X3,X0,X1)
| ~ v1_funct_1(X3)
| ! [X4] :
( ? [X5] :
( X4 = k1_funct_1(X3,X5)
& r2_hidden(X5,X2)
& r2_hidden(X5,X0) )
| ~ r2_hidden(X4,k2_funct_2(X0,X1,X3,X2)) ) ),
inference(flattening,[],[f8784]) ).
fof(f8786,plain,
! [X0,X1] :
( ~ m2_relset_1(X1,X0,X0)
| ~ v1_funct_2(X1,X0,X0)
| ~ v1_funct_1(X1)
| k2_funct_2(X0,X0,X1,X0) = k2_relat_1(X1) ),
inference(ennf_transformation,[],[f1780]) ).
fof(f8787,plain,
! [X0,X1] :
( ~ m2_relset_1(X1,X0,X0)
| ~ v1_funct_2(X1,X0,X0)
| ~ v1_funct_1(X1)
| k2_funct_2(X0,X0,X1,X0) = k2_relat_1(X1) ),
inference(flattening,[],[f8786]) ).
fof(f8788,plain,
! [X0,X1,X2,X3] :
( ~ m2_relset_1(X3,k1_tarski(X0),X1)
| ~ v1_funct_2(X3,k1_tarski(X0),X1)
| ~ v1_funct_1(X3)
| k1_xboole_0 = X1
| r1_tarski(k2_funct_2(k1_tarski(X0),X1,X3,X2),k1_tarski(k1_funct_1(X3,X0))) ),
inference(ennf_transformation,[],[f1765]) ).
fof(f8789,plain,
! [X0,X1,X2,X3] :
( ~ m2_relset_1(X3,k1_tarski(X0),X1)
| ~ v1_funct_2(X3,k1_tarski(X0),X1)
| ~ v1_funct_1(X3)
| k1_xboole_0 = X1
| r1_tarski(k2_funct_2(k1_tarski(X0),X1,X3,X2),k1_tarski(k1_funct_1(X3,X0))) ),
inference(flattening,[],[f8788]) ).
fof(f8790,plain,
! [X0,X1,X2] :
( ~ m2_relset_1(X2,k1_xboole_0,X0)
| ~ v1_funct_2(X2,k1_xboole_0,X0)
| ~ v1_funct_1(X2)
| k2_funct_2(k1_xboole_0,X0,X2,X1) = k1_xboole_0 ),
inference(ennf_transformation,[],[f1760]) ).
fof(f8791,plain,
! [X0,X1,X2] :
( ~ m2_relset_1(X2,k1_xboole_0,X0)
| ~ v1_funct_2(X2,k1_xboole_0,X0)
| ~ v1_funct_1(X2)
| k2_funct_2(k1_xboole_0,X0,X2,X1) = k1_xboole_0 ),
inference(flattening,[],[f8790]) ).
fof(f8792,plain,
! [X0,X1,X2] :
( ~ m2_relset_1(X2,X0,X1)
| ~ v1_funct_2(X2,X0,X1)
| ~ v1_funct_1(X2)
| ( X1 = k1_xboole_0
& k1_xboole_0 != X0 )
| k2_funct_2(X0,X1,X2,X0) = k2_relat_1(X2) ),
inference(ennf_transformation,[],[f1746]) ).
fof(f8793,plain,
! [X0,X1,X2] :
( ~ m2_relset_1(X2,X0,X1)
| ~ v1_funct_2(X2,X0,X1)
| ~ v1_funct_1(X2)
| ( X1 = k1_xboole_0
& k1_xboole_0 != X0 )
| k2_funct_2(X0,X1,X2,X0) = k2_relat_1(X2) ),
inference(flattening,[],[f8792]) ).
fof(f8794,plain,
! [X0,X1] :
( ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ( v1_funct_1(k3_funct_4(X0,X1))
& v1_relat_1(k3_funct_4(X0,X1)) ) ),
inference(ennf_transformation,[],[f2185]) ).
fof(f8795,plain,
! [X0,X1] :
( ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ( v1_funct_1(k3_funct_4(X0,X1))
& v1_relat_1(k3_funct_4(X0,X1)) ) ),
inference(flattening,[],[f8794]) ).
fof(f8796,plain,
! [X0,X1,X2,X3,X4] :
( v1_xboole_0(X4)
| ! [X5] :
( v1_xboole_0(X5)
| ! [X6] :
( ~ m2_relset_1(X6,k2_zfmisc_1(X0,X1),X4)
| ~ v1_funct_2(X6,k2_zfmisc_1(X0,X1),X4)
| ~ v1_funct_1(X6)
| ! [X7] :
( ~ m2_relset_1(X7,k2_zfmisc_1(X2,X3),X5)
| ~ v1_funct_2(X7,k2_zfmisc_1(X2,X3),X5)
| ~ v1_funct_1(X7)
| ( m2_relset_1(k3_funct_4(X6,X7),k2_zfmisc_1(k2_zfmisc_1(X0,X2),k2_zfmisc_1(X1,X3)),k2_zfmisc_1(X4,X5))
& v1_funct_2(k3_funct_4(X6,X7),k2_zfmisc_1(k2_zfmisc_1(X0,X2),k2_zfmisc_1(X1,X3)),k2_zfmisc_1(X4,X5))
& v1_funct_1(k3_funct_4(X6,X7)) ) ) ) ) ),
inference(ennf_transformation,[],[f2161]) ).
fof(f8797,plain,
! [X0,X1,X2,X3,X4] :
( v1_xboole_0(X4)
| ! [X5] :
( v1_xboole_0(X5)
| ! [X6] :
( ~ m2_relset_1(X6,k2_zfmisc_1(X0,X1),X4)
| ~ v1_funct_2(X6,k2_zfmisc_1(X0,X1),X4)
| ~ v1_funct_1(X6)
| ! [X7] :
( ~ m2_relset_1(X7,k2_zfmisc_1(X2,X3),X5)
| ~ v1_funct_2(X7,k2_zfmisc_1(X2,X3),X5)
| ~ v1_funct_1(X7)
| ( m2_relset_1(k3_funct_4(X6,X7),k2_zfmisc_1(k2_zfmisc_1(X0,X2),k2_zfmisc_1(X1,X3)),k2_zfmisc_1(X4,X5))
& v1_funct_2(k3_funct_4(X6,X7),k2_zfmisc_1(k2_zfmisc_1(X0,X2),k2_zfmisc_1(X1,X3)),k2_zfmisc_1(X4,X5))
& v1_funct_1(k3_funct_4(X6,X7)) ) ) ) ) ),
inference(flattening,[],[f8796]) ).
fof(f8798,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ m2_relset_1(X6,k2_zfmisc_1(X0,X1),X2)
| ~ v1_funct_2(X6,k2_zfmisc_1(X0,X1),X2)
| ~ v1_funct_1(X6)
| ! [X7] :
( ~ m2_relset_1(X7,k2_zfmisc_1(X3,X4),X5)
| ~ v1_funct_2(X7,k2_zfmisc_1(X3,X4),X5)
| ~ v1_funct_1(X7)
| ( m2_relset_1(k3_funct_4(X6,X7),k2_zfmisc_1(k2_zfmisc_1(X0,X3),k2_zfmisc_1(X1,X4)),k2_zfmisc_1(X2,X5))
& v1_funct_2(k3_funct_4(X6,X7),k2_zfmisc_1(k2_zfmisc_1(X0,X3),k2_zfmisc_1(X1,X4)),k2_zfmisc_1(X2,X5))
& v1_funct_1(k3_funct_4(X6,X7)) )
| k1_xboole_0 = X5
| k1_xboole_0 = X2 ) ),
inference(ennf_transformation,[],[f2160]) ).
fof(f8799,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ m2_relset_1(X6,k2_zfmisc_1(X0,X1),X2)
| ~ v1_funct_2(X6,k2_zfmisc_1(X0,X1),X2)
| ~ v1_funct_1(X6)
| ! [X7] :
( ~ m2_relset_1(X7,k2_zfmisc_1(X3,X4),X5)
| ~ v1_funct_2(X7,k2_zfmisc_1(X3,X4),X5)
| ~ v1_funct_1(X7)
| ( m2_relset_1(k3_funct_4(X6,X7),k2_zfmisc_1(k2_zfmisc_1(X0,X3),k2_zfmisc_1(X1,X4)),k2_zfmisc_1(X2,X5))
& v1_funct_2(k3_funct_4(X6,X7),k2_zfmisc_1(k2_zfmisc_1(X0,X3),k2_zfmisc_1(X1,X4)),k2_zfmisc_1(X2,X5))
& v1_funct_1(k3_funct_4(X6,X7)) )
| k1_xboole_0 = X5
| k1_xboole_0 = X2 ) ),
inference(flattening,[],[f8798]) ).
fof(f8800,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ m2_relset_1(X6,k2_zfmisc_1(X0,X1),X2)
| ~ v1_funct_1(X6)
| ! [X7] :
( ~ m2_relset_1(X7,k2_zfmisc_1(X3,X4),X5)
| ~ v1_funct_1(X7)
| ( m2_relset_1(k3_funct_4(X6,X7),k2_zfmisc_1(k2_zfmisc_1(X0,X3),k2_zfmisc_1(X1,X4)),k2_zfmisc_1(X2,X5))
& v1_funct_1(k3_funct_4(X6,X7)) ) ) ),
inference(ennf_transformation,[],[f2159]) ).
fof(f8801,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ m2_relset_1(X6,k2_zfmisc_1(X0,X1),X2)
| ~ v1_funct_1(X6)
| ! [X7] :
( ~ m2_relset_1(X7,k2_zfmisc_1(X3,X4),X5)
| ~ v1_funct_1(X7)
| ( m2_relset_1(k3_funct_4(X6,X7),k2_zfmisc_1(k2_zfmisc_1(X0,X3),k2_zfmisc_1(X1,X4)),k2_zfmisc_1(X2,X5))
& v1_funct_1(k3_funct_4(X6,X7)) ) ) ),
inference(flattening,[],[f8800]) ).
fof(f8802,plain,
! [X0,X1,X2,X3,X4] :
( ~ v1_funct_1(X4)
| ~ v1_relat_1(X4)
| ! [X5] :
( ~ v1_funct_1(X5)
| ~ v1_relat_1(X5)
| k2_zfmisc_1(X2,X3) != k1_relat_1(X5)
| k2_zfmisc_1(X0,X1) != k1_relat_1(X4)
| k1_relat_1(k3_funct_4(X4,X5)) = k2_zfmisc_1(k2_zfmisc_1(X0,X2),k2_zfmisc_1(X1,X3)) ) ),
inference(ennf_transformation,[],[f2158]) ).
fof(f8803,plain,
! [X0,X1,X2,X3,X4] :
( ~ v1_funct_1(X4)
| ~ v1_relat_1(X4)
| ! [X5] :
( ~ v1_funct_1(X5)
| ~ v1_relat_1(X5)
| k2_zfmisc_1(X2,X3) != k1_relat_1(X5)
| k2_zfmisc_1(X0,X1) != k1_relat_1(X4)
| k1_relat_1(k3_funct_4(X4,X5)) = k2_zfmisc_1(k2_zfmisc_1(X0,X2),k2_zfmisc_1(X1,X3)) ) ),
inference(flattening,[],[f8802]) ).
fof(f8804,plain,
! [X0,X1,X2,X3,X4] :
( ~ v1_funct_1(X4)
| ~ v1_relat_1(X4)
| ! [X5] :
( ~ v1_funct_1(X5)
| ~ v1_relat_1(X5)
| ~ r1_tarski(k1_relat_1(X5),k2_zfmisc_1(X2,X3))
| ~ r1_tarski(k1_relat_1(X4),k2_zfmisc_1(X0,X1))
| r1_tarski(k1_relat_1(k3_funct_4(X4,X5)),k2_zfmisc_1(k2_zfmisc_1(X0,X2),k2_zfmisc_1(X1,X3))) ) ),
inference(ennf_transformation,[],[f2157]) ).
fof(f8805,plain,
! [X0,X1,X2,X3,X4] :
( ~ v1_funct_1(X4)
| ~ v1_relat_1(X4)
| ! [X5] :
( ~ v1_funct_1(X5)
| ~ v1_relat_1(X5)
| ~ r1_tarski(k1_relat_1(X5),k2_zfmisc_1(X2,X3))
| ~ r1_tarski(k1_relat_1(X4),k2_zfmisc_1(X0,X1))
| r1_tarski(k1_relat_1(k3_funct_4(X4,X5)),k2_zfmisc_1(k2_zfmisc_1(X0,X2),k2_zfmisc_1(X1,X3))) ) ),
inference(flattening,[],[f8804]) ).
fof(f8806,plain,
! [X0] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ! [X1] :
( ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| r1_tarski(k2_relat_1(k3_funct_4(X0,X1)),k2_zfmisc_1(k2_relat_1(X0),k2_relat_1(X1))) ) ),
inference(ennf_transformation,[],[f2156]) ).
fof(f8807,plain,
! [X0] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ! [X1] :
( ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| r1_tarski(k2_relat_1(k3_funct_4(X0,X1)),k2_zfmisc_1(k2_relat_1(X0),k2_relat_1(X1))) ) ),
inference(flattening,[],[f8806]) ).
fof(f8808,plain,
! [X0,X1,X2,X3,X4] :
( ~ v1_funct_1(X4)
| ~ v1_relat_1(X4)
| ! [X5] :
( ~ v1_funct_1(X5)
| ~ v1_relat_1(X5)
| ~ r2_hidden(k4_tarski(k4_tarski(X0,X1),k4_tarski(X2,X3)),k1_relat_1(k3_funct_4(X4,X5)))
| k1_funct_1(k3_funct_4(X4,X5),k4_tarski(k4_tarski(X0,X1),k4_tarski(X2,X3))) = k4_tarski(k1_funct_1(X4,k4_tarski(X0,X2)),k1_funct_1(X5,k4_tarski(X1,X3))) ) ),
inference(ennf_transformation,[],[f2155]) ).
fof(f8809,plain,
! [X0,X1,X2,X3,X4] :
( ~ v1_funct_1(X4)
| ~ v1_relat_1(X4)
| ! [X5] :
( ~ v1_funct_1(X5)
| ~ v1_relat_1(X5)
| ~ r2_hidden(k4_tarski(k4_tarski(X0,X1),k4_tarski(X2,X3)),k1_relat_1(k3_funct_4(X4,X5)))
| k1_funct_1(k3_funct_4(X4,X5),k4_tarski(k4_tarski(X0,X1),k4_tarski(X2,X3))) = k4_tarski(k1_funct_1(X4,k4_tarski(X0,X2)),k1_funct_1(X5,k4_tarski(X1,X3))) ) ),
inference(flattening,[],[f8808]) ).
fof(f8810,plain,
! [X0,X1,X2,X3,X4] :
( ~ v1_funct_1(X4)
| ~ v1_relat_1(X4)
| ! [X5] :
( ~ v1_funct_1(X5)
| ~ v1_relat_1(X5)
| ( r2_hidden(k4_tarski(k4_tarski(X0,X1),k4_tarski(X2,X3)),k1_relat_1(k3_funct_4(X4,X5)))
<=> ( r2_hidden(k4_tarski(X1,X3),k1_relat_1(X5))
& r2_hidden(k4_tarski(X0,X2),k1_relat_1(X4)) ) ) ) ),
inference(ennf_transformation,[],[f2154]) ).
fof(f8811,plain,
! [X0,X1,X2,X3,X4] :
( ~ v1_funct_1(X4)
| ~ v1_relat_1(X4)
| ! [X5] :
( ~ v1_funct_1(X5)
| ~ v1_relat_1(X5)
| ( r2_hidden(k4_tarski(k4_tarski(X0,X1),k4_tarski(X2,X3)),k1_relat_1(k3_funct_4(X4,X5)))
<=> ( r2_hidden(k4_tarski(X1,X3),k1_relat_1(X5))
& r2_hidden(k4_tarski(X0,X2),k1_relat_1(X4)) ) ) ) ),
inference(flattening,[],[f8810]) ).
fof(f8812,plain,
! [X0] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ! [X1] :
( ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ! [X2] :
( ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| ( X2 = k3_funct_4(X0,X1)
<=> ( ! [X8,X9,X10,X11] :
( ~ r2_hidden(k4_tarski(X10,X11),k1_relat_1(X1))
| ~ r2_hidden(k4_tarski(X8,X9),k1_relat_1(X0))
| k1_funct_1(X2,k4_tarski(k4_tarski(X8,X10),k4_tarski(X9,X11))) = k4_tarski(k1_funct_1(X0,k4_tarski(X8,X9)),k1_funct_1(X1,k4_tarski(X10,X11))) )
& ! [X3] :
( r2_hidden(X3,k1_relat_1(X2))
<=> ? [X4,X5,X6,X7] :
( r2_hidden(k4_tarski(X6,X7),k1_relat_1(X1))
& r2_hidden(k4_tarski(X4,X5),k1_relat_1(X0))
& X3 = k4_tarski(k4_tarski(X4,X6),k4_tarski(X5,X7)) ) ) ) ) ) ) ),
inference(ennf_transformation,[],[f6492]) ).
fof(f8813,plain,
! [X0] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ! [X1] :
( ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ! [X2] :
( ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| ( X2 = k3_funct_4(X0,X1)
<=> ( ! [X8,X9,X10,X11] :
( ~ r2_hidden(k4_tarski(X10,X11),k1_relat_1(X1))
| ~ r2_hidden(k4_tarski(X8,X9),k1_relat_1(X0))
| k1_funct_1(X2,k4_tarski(k4_tarski(X8,X10),k4_tarski(X9,X11))) = k4_tarski(k1_funct_1(X0,k4_tarski(X8,X9)),k1_funct_1(X1,k4_tarski(X10,X11))) )
& ! [X3] :
( r2_hidden(X3,k1_relat_1(X2))
<=> ? [X4,X5,X6,X7] :
( r2_hidden(k4_tarski(X6,X7),k1_relat_1(X1))
& r2_hidden(k4_tarski(X4,X5),k1_relat_1(X0))
& X3 = k4_tarski(k4_tarski(X4,X6),k4_tarski(X5,X7)) ) ) ) ) ) ) ),
inference(flattening,[],[f8812]) ).
fof(f8814,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ? [X1] : m2_lattice4(X1,X0) ),
inference(ennf_transformation,[],[f6374]) ).
fof(f8815,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ? [X1] : m2_lattice4(X1,X0) ),
inference(flattening,[],[f8814]) ).
fof(f8816,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m2_lattice4(X1,X0)
| m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) ) ),
inference(ennf_transformation,[],[f6373]) ).
fof(f8817,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m2_lattice4(X1,X0)
| m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) ) ),
inference(flattening,[],[f8816]) ).
fof(f8818,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v13_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m2_lattice4(X1,X0)
| ~ r2_hidden(k5_lattices(X0),X1)
| ! [X2] :
( ~ m1_subset_1(X2,k5_finsub_1(u1_struct_0(X0)))
| ~ r1_tarski(X2,X1)
| r2_hidden(k1_lattice4(X0,X2),X1) ) ) ),
inference(ennf_transformation,[],[f6342]) ).
fof(f8819,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v13_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m2_lattice4(X1,X0)
| ~ r2_hidden(k5_lattices(X0),X1)
| ! [X2] :
( ~ m1_subset_1(X2,k5_finsub_1(u1_struct_0(X0)))
| ~ r1_tarski(X2,X1)
| r2_hidden(k1_lattice4(X0,X2),X1) ) ) ),
inference(flattening,[],[f8818]) ).
fof(f8820,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_filter_0(X1,X0)
| m2_lattice4(X1,X0) ) ),
inference(ennf_transformation,[],[f6326]) ).
fof(f8821,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_filter_0(X1,X0)
| m2_lattice4(X1,X0) ) ),
inference(flattening,[],[f8820]) ).
fof(f8822,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| m2_lattice4(u1_struct_0(X0),X0) ),
inference(ennf_transformation,[],[f6325]) ).
fof(f8823,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| m2_lattice4(u1_struct_0(X0),X0) ),
inference(flattening,[],[f8822]) ).
fof(f8824,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ( m2_lattice4(X1,X0)
<=> ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| ! [X3] :
( ~ m1_subset_1(X3,u1_struct_0(X0))
| ~ r2_hidden(X3,X1)
| ~ r2_hidden(X2,X1)
| ( r2_hidden(k3_lattices(X0,X2,X3),X1)
& r2_hidden(k4_lattices(X0,X2,X3),X1) ) ) ) ) ) ),
inference(ennf_transformation,[],[f6324]) ).
fof(f8825,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ( m2_lattice4(X1,X0)
<=> ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| ! [X3] :
( ~ m1_subset_1(X3,u1_struct_0(X0))
| ~ r2_hidden(X3,X1)
| ~ r2_hidden(X2,X1)
| ( r2_hidden(k3_lattices(X0,X2,X3),X1)
& r2_hidden(k4_lattices(X0,X2,X3),X1) ) ) ) ) ) ),
inference(flattening,[],[f8824]) ).
fof(f8826,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ? [X1] :
( ~ v1_xboole_0(X1)
& m2_lattice4(X1,X0) ) ),
inference(ennf_transformation,[],[f6304]) ).
fof(f8827,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ? [X1] :
( ~ v1_xboole_0(X1)
& m2_lattice4(X1,X0) ) ),
inference(flattening,[],[f8826]) ).
fof(f8828,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v13_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| k1_lattice4(X0,k1_setwiseo(u1_struct_0(X0))) = k5_lattices(X0) ),
inference(ennf_transformation,[],[f6341]) ).
fof(f8829,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v13_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| k1_lattice4(X0,k1_setwiseo(u1_struct_0(X0))) = k5_lattices(X0) ),
inference(flattening,[],[f8828]) ).
fof(f8830,plain,
! [X0] :
( v1_xboole_0(X0)
| ! [X1,X2,X3] :
( ~ m2_relset_1(X3,X0,k5_finsub_1(X1))
| ~ v1_funct_2(X3,X0,k5_finsub_1(X1))
| ~ v1_funct_1(X3)
| ! [X4] :
( ~ m2_relset_1(X4,k5_finsub_1(X1),k5_finsub_1(X2))
| ~ v1_funct_2(X4,k5_finsub_1(X1),k5_finsub_1(X2))
| ~ v1_funct_1(X4)
| ? [X5] :
( m1_subset_1(X5,k5_finsub_1(X1))
& ? [X6] :
( m1_subset_1(X6,k5_finsub_1(X1))
& k8_funct_2(k5_finsub_1(X1),k5_finsub_1(X2),X4,k5_setwiseo(X1,X5,X6)) != k5_setwiseo(X2,k8_funct_2(k5_finsub_1(X1),k5_finsub_1(X2),X4,X5),k8_funct_2(k5_finsub_1(X1),k5_finsub_1(X2),X4,X6)) ) )
| k1_setwiseo(X2) != k8_funct_2(k5_finsub_1(X1),k5_finsub_1(X2),X4,k1_setwiseo(X1))
| ! [X7] :
( ~ m1_subset_1(X7,k5_finsub_1(X0))
| k8_funct_2(k5_finsub_1(X1),k5_finsub_1(X2),X4,k10_setwiseo(X0,X1,X7,X3)) = k10_setwiseo(X0,X2,X7,k7_funct_2(X0,k5_finsub_1(X1),k5_finsub_1(X2),X3,X4)) ) ) ) ),
inference(ennf_transformation,[],[f6493]) ).
fof(f8831,plain,
! [X0] :
( v1_xboole_0(X0)
| ! [X1,X2,X3] :
( ~ m2_relset_1(X3,X0,k5_finsub_1(X1))
| ~ v1_funct_2(X3,X0,k5_finsub_1(X1))
| ~ v1_funct_1(X3)
| ! [X4] :
( ~ m2_relset_1(X4,k5_finsub_1(X1),k5_finsub_1(X2))
| ~ v1_funct_2(X4,k5_finsub_1(X1),k5_finsub_1(X2))
| ~ v1_funct_1(X4)
| ? [X5] :
( m1_subset_1(X5,k5_finsub_1(X1))
& ? [X6] :
( m1_subset_1(X6,k5_finsub_1(X1))
& k8_funct_2(k5_finsub_1(X1),k5_finsub_1(X2),X4,k5_setwiseo(X1,X5,X6)) != k5_setwiseo(X2,k8_funct_2(k5_finsub_1(X1),k5_finsub_1(X2),X4,X5),k8_funct_2(k5_finsub_1(X1),k5_finsub_1(X2),X4,X6)) ) )
| k1_setwiseo(X2) != k8_funct_2(k5_finsub_1(X1),k5_finsub_1(X2),X4,k1_setwiseo(X1))
| ! [X7] :
( ~ m1_subset_1(X7,k5_finsub_1(X0))
| k8_funct_2(k5_finsub_1(X1),k5_finsub_1(X2),X4,k10_setwiseo(X0,X1,X7,X3)) = k10_setwiseo(X0,X2,X7,k7_funct_2(X0,k5_finsub_1(X1),k5_finsub_1(X2),X3,X4)) ) ) ) ),
inference(flattening,[],[f8830]) ).
fof(f8832,plain,
! [X0] :
( v1_xboole_0(X0)
| ! [X1] :
( v1_xboole_0(X1)
| ! [X2,X3] :
( ~ m2_relset_1(X3,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X3)
| ~ v1_setwiseo(X3,X1)
| ~ v3_binop_1(X3,X1)
| ~ v2_binop_1(X3,X1)
| ~ v1_binop_1(X3,X1)
| ! [X4] :
( ~ m2_relset_1(X4,X0,k5_finsub_1(X2))
| ~ v1_funct_2(X4,X0,k5_finsub_1(X2))
| ~ v1_funct_1(X4)
| ! [X5] :
( ~ m2_relset_1(X5,k5_finsub_1(X2),X1)
| ~ v1_funct_2(X5,k5_finsub_1(X2),X1)
| ~ v1_funct_1(X5)
| ? [X6] :
( m1_subset_1(X6,k5_finsub_1(X2))
& ? [X7] :
( m1_subset_1(X7,k5_finsub_1(X2))
& k8_funct_2(k5_finsub_1(X2),X1,X5,k5_setwiseo(X2,X6,X7)) != k2_binop_1(X1,X1,X1,X3,k8_funct_2(k5_finsub_1(X2),X1,X5,X6),k8_funct_2(k5_finsub_1(X2),X1,X5,X7)) ) )
| k8_funct_2(k5_finsub_1(X2),X1,X5,k1_setwiseo(X2)) != k3_binop_1(X1,X3)
| ! [X8] :
( ~ m1_subset_1(X8,k5_finsub_1(X0))
| k8_funct_2(k5_finsub_1(X2),X1,X5,k10_setwiseo(X0,X2,X8,X4)) = k7_setwiseo(X0,X1,X3,X8,k7_funct_2(X0,k5_finsub_1(X2),X1,X4,X5)) ) ) ) ) ) ),
inference(ennf_transformation,[],[f6494]) ).
fof(f8833,plain,
! [X0] :
( v1_xboole_0(X0)
| ! [X1] :
( v1_xboole_0(X1)
| ! [X2,X3] :
( ~ m2_relset_1(X3,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X3)
| ~ v1_setwiseo(X3,X1)
| ~ v3_binop_1(X3,X1)
| ~ v2_binop_1(X3,X1)
| ~ v1_binop_1(X3,X1)
| ! [X4] :
( ~ m2_relset_1(X4,X0,k5_finsub_1(X2))
| ~ v1_funct_2(X4,X0,k5_finsub_1(X2))
| ~ v1_funct_1(X4)
| ! [X5] :
( ~ m2_relset_1(X5,k5_finsub_1(X2),X1)
| ~ v1_funct_2(X5,k5_finsub_1(X2),X1)
| ~ v1_funct_1(X5)
| ? [X6] :
( m1_subset_1(X6,k5_finsub_1(X2))
& ? [X7] :
( m1_subset_1(X7,k5_finsub_1(X2))
& k8_funct_2(k5_finsub_1(X2),X1,X5,k5_setwiseo(X2,X6,X7)) != k2_binop_1(X1,X1,X1,X3,k8_funct_2(k5_finsub_1(X2),X1,X5,X6),k8_funct_2(k5_finsub_1(X2),X1,X5,X7)) ) )
| k8_funct_2(k5_finsub_1(X2),X1,X5,k1_setwiseo(X2)) != k3_binop_1(X1,X3)
| ! [X8] :
( ~ m1_subset_1(X8,k5_finsub_1(X0))
| k8_funct_2(k5_finsub_1(X2),X1,X5,k10_setwiseo(X0,X2,X8,X4)) = k7_setwiseo(X0,X1,X3,X8,k7_funct_2(X0,k5_finsub_1(X2),X1,X4,X5)) ) ) ) ) ) ),
inference(flattening,[],[f8832]) ).
fof(f8834,plain,
! [X0] :
( v1_xboole_0(X0)
| ! [X1,X2] :
( ~ m2_relset_1(X2,X0,k5_finsub_1(X1))
| ~ v1_funct_2(X2,X0,k5_finsub_1(X1))
| ~ v1_funct_1(X2)
| k10_setwiseo(X0,X1,k1_setwiseo(X0),X2) = k1_xboole_0 ) ),
inference(ennf_transformation,[],[f2495]) ).
fof(f8835,plain,
! [X0] :
( v1_xboole_0(X0)
| ! [X1,X2] :
( ~ m2_relset_1(X2,X0,k5_finsub_1(X1))
| ~ v1_funct_2(X2,X0,k5_finsub_1(X1))
| ~ v1_funct_1(X2)
| k10_setwiseo(X0,X1,k1_setwiseo(X0),X2) = k1_xboole_0 ) ),
inference(flattening,[],[f8834]) ).
fof(f8836,plain,
! [X0] :
( v1_xboole_0(X0)
| ! [X1] :
( v1_xboole_0(X1)
| ! [X2] :
( ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ v1_setwiseo(X2,X0)
| ~ v2_binop_1(X2,X0)
| ~ v1_binop_1(X2,X0)
| ! [X3] :
( ~ m2_relset_1(X3,X1,X0)
| ~ v1_funct_2(X3,X1,X0)
| ~ v1_funct_1(X3)
| k7_setwiseo(X1,X0,X2,k1_setwiseo(X1),X3) = k3_binop_1(X0,X2) ) ) ) ),
inference(ennf_transformation,[],[f2474]) ).
fof(f8837,plain,
! [X0] :
( v1_xboole_0(X0)
| ! [X1] :
( v1_xboole_0(X1)
| ! [X2] :
( ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ v1_setwiseo(X2,X0)
| ~ v2_binop_1(X2,X0)
| ~ v1_binop_1(X2,X0)
| ! [X3] :
( ~ m2_relset_1(X3,X1,X0)
| ~ v1_funct_2(X3,X1,X0)
| ~ v1_funct_1(X3)
| k7_setwiseo(X1,X0,X2,k1_setwiseo(X1),X3) = k3_binop_1(X0,X2) ) ) ) ),
inference(flattening,[],[f8836]) ).
fof(f8838,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,k5_finsub_1(u1_struct_0(X0)))
| k1_lattice4(X0,X1) = k7_setwiseo(u1_struct_0(X0),u1_struct_0(X0),u2_lattices(X0),X1,k7_grcat_1(X0)) ) ),
inference(ennf_transformation,[],[f6333]) ).
fof(f8839,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,k5_finsub_1(u1_struct_0(X0)))
| k1_lattice4(X0,X1) = k7_setwiseo(u1_struct_0(X0),u1_struct_0(X0),u2_lattices(X0),X1,k7_grcat_1(X0)) ) ),
inference(flattening,[],[f8838]) ).
fof(f8840,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,k5_finsub_1(u1_struct_0(X0)))
| k1_lattice4(X0,X1) = k2_lattice2(u1_struct_0(X0),X0,X1,k7_grcat_1(X0)) ) ),
inference(ennf_transformation,[],[f6328]) ).
fof(f8841,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,k5_finsub_1(u1_struct_0(X0)))
| k1_lattice4(X0,X1) = k2_lattice2(u1_struct_0(X0),X0,X1,k7_grcat_1(X0)) ) ),
inference(flattening,[],[f8840]) ).
fof(f8842,plain,
! [X0] :
( ~ l1_struct_0(X0)
| ( m2_relset_1(k7_grcat_1(X0),u1_struct_0(X0),u1_struct_0(X0))
& v1_funct_2(k7_grcat_1(X0),u1_struct_0(X0),u1_struct_0(X0))
& v1_funct_1(k7_grcat_1(X0)) ) ),
inference(ennf_transformation,[],[f6121]) ).
fof(f8843,plain,
! [X0] :
( ~ l1_struct_0(X0)
| ! [X1] :
( ~ l1_struct_0(X1)
| v3_struct_0(X1)
| ! [X2] :
( ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X2)
| ( k7_funct_2(u1_struct_0(X0),u1_struct_0(X1),u1_struct_0(X1),X2,k7_grcat_1(X1)) = X2
& k1_partfun1(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X1),k7_grcat_1(X0),X2) = X2 ) ) ) ),
inference(ennf_transformation,[],[f6022]) ).
fof(f8844,plain,
! [X0] :
( ~ l1_struct_0(X0)
| ! [X1] :
( ~ l1_struct_0(X1)
| v3_struct_0(X1)
| ! [X2] :
( ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X2)
| ( k7_funct_2(u1_struct_0(X0),u1_struct_0(X1),u1_struct_0(X1),X2,k7_grcat_1(X1)) = X2
& k1_partfun1(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X1),k7_grcat_1(X0),X2) = X2 ) ) ) ),
inference(flattening,[],[f8843]) ).
fof(f8845,plain,
! [X0] :
( ~ l1_struct_0(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| k8_funct_2(u1_struct_0(X0),u1_struct_0(X0),k7_grcat_1(X0),X1) = X1 ) ),
inference(ennf_transformation,[],[f6021]) ).
fof(f8846,plain,
! [X0] :
( ~ l1_struct_0(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| k8_funct_2(u1_struct_0(X0),u1_struct_0(X0),k7_grcat_1(X0),X1) = X1 ) ),
inference(flattening,[],[f8845]) ).
fof(f8847,plain,
! [X0] :
( ~ l1_struct_0(X0)
| k7_grcat_1(X0) = k6_partfun1(u1_struct_0(X0)) ),
inference(ennf_transformation,[],[f6020]) ).
fof(f8848,plain,
! [X0,X1,X2] :
( ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| ! [X3] :
( ~ v1_funct_1(X3)
| ~ v1_relat_1(X3)
| ~ r1_tarski(X2,X3)
| r1_tarski(k7_relat_1(k8_relat_1(X0,X2),X1),k7_relat_1(k8_relat_1(X0,X3),X1)) ) ),
inference(ennf_transformation,[],[f2104]) ).
fof(f8849,plain,
! [X0,X1,X2] :
( ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| ! [X3] :
( ~ v1_funct_1(X3)
| ~ v1_relat_1(X3)
| ~ r1_tarski(X2,X3)
| r1_tarski(k7_relat_1(k8_relat_1(X0,X2),X1),k7_relat_1(k8_relat_1(X0,X3),X1)) ) ),
inference(flattening,[],[f8848]) ).
fof(f8850,plain,
! [X0,X1,X2] :
( ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| r1_tarski(k7_relat_1(k8_relat_1(X0,X2),X1),X2) ),
inference(ennf_transformation,[],[f2103]) ).
fof(f8851,plain,
! [X0,X1,X2] :
( ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| r1_tarski(k7_relat_1(k8_relat_1(X0,X2),X1),X2) ),
inference(flattening,[],[f8850]) ).
fof(f8852,plain,
! [X0] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ! [X1,X2] : k3_partfun1(X0,X1,X2) = k7_relat_1(k8_relat_1(X2,X0),X1) ),
inference(ennf_transformation,[],[f1428]) ).
fof(f8853,plain,
! [X0] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ! [X1,X2] : k3_partfun1(X0,X1,X2) = k7_relat_1(k8_relat_1(X2,X0),X1) ),
inference(flattening,[],[f8852]) ).
fof(f8854,plain,
! [X0,X1,X2] :
( ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| ( m2_relset_1(k7_relat_1(k8_relat_1(X0,X2),X1),X1,X0)
& v1_funct_1(k7_relat_1(k8_relat_1(X0,X2),X1)) ) ),
inference(ennf_transformation,[],[f1398]) ).
fof(f8855,plain,
! [X0,X1,X2] :
( ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| ( m2_relset_1(k7_relat_1(k8_relat_1(X0,X2),X1),X1,X0)
& v1_funct_1(k7_relat_1(k8_relat_1(X0,X2),X1)) ) ),
inference(flattening,[],[f8854]) ).
fof(f8856,plain,
! [X0,X1,X2] :
( ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| k9_relat_1(k8_relat_1(X0,X2),X1) = k3_xboole_0(X0,k9_relat_1(X2,X1)) ),
inference(ennf_transformation,[],[f1064]) ).
fof(f8857,plain,
! [X0,X1,X2] :
( ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| k9_relat_1(k8_relat_1(X0,X2),X1) = k3_xboole_0(X0,k9_relat_1(X2,X1)) ),
inference(flattening,[],[f8856]) ).
fof(f8858,plain,
! [X0,X1,X2] :
( ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| r1_tarski(k9_relat_1(k8_relat_1(X0,X2),X1),k9_relat_1(X2,X1)) ),
inference(ennf_transformation,[],[f1058]) ).
fof(f8859,plain,
! [X0,X1,X2] :
( ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| r1_tarski(k9_relat_1(k8_relat_1(X0,X2),X1),k9_relat_1(X2,X1)) ),
inference(flattening,[],[f8858]) ).
fof(f8860,plain,
! [X0,X1] :
( ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ~ v2_funct_1(X1)
| v2_funct_1(k8_relat_1(X0,X1)) ),
inference(ennf_transformation,[],[f1034]) ).
fof(f8861,plain,
! [X0,X1] :
( ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ~ v2_funct_1(X1)
| v2_funct_1(k8_relat_1(X0,X1)) ),
inference(flattening,[],[f8860]) ).
fof(f8864,plain,
! [X0,X1] :
( ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ( r1_tarski(k2_relat_1(k8_relat_1(X0,X1)),k2_relat_1(X1))
& r1_tarski(k1_relat_1(k8_relat_1(X0,X1)),k1_relat_1(X1)) ) ),
inference(ennf_transformation,[],[f1024]) ).
fof(f8865,plain,
! [X0,X1] :
( ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ( r1_tarski(k2_relat_1(k8_relat_1(X0,X1)),k2_relat_1(X1))
& r1_tarski(k1_relat_1(k8_relat_1(X0,X1)),k1_relat_1(X1)) ) ),
inference(flattening,[],[f8864]) ).
fof(f8866,plain,
! [X0,X1,X2] :
( ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| ~ r2_hidden(X1,k1_relat_1(k8_relat_1(X0,X2)))
| k1_funct_1(k8_relat_1(X0,X2),X1) = k1_funct_1(X2,X1) ),
inference(ennf_transformation,[],[f1022]) ).
fof(f8867,plain,
! [X0,X1,X2] :
( ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| ~ r2_hidden(X1,k1_relat_1(k8_relat_1(X0,X2)))
| k1_funct_1(k8_relat_1(X0,X2),X1) = k1_funct_1(X2,X1) ),
inference(flattening,[],[f8866]) ).
fof(f8868,plain,
! [X0,X1,X2] :
( ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| ( r2_hidden(X1,k1_relat_1(k8_relat_1(X0,X2)))
<=> ( r2_hidden(k1_funct_1(X2,X1),X0)
& r2_hidden(X1,k1_relat_1(X2)) ) ) ),
inference(ennf_transformation,[],[f1021]) ).
fof(f8869,plain,
! [X0,X1,X2] :
( ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| ( r2_hidden(X1,k1_relat_1(k8_relat_1(X0,X2)))
<=> ( r2_hidden(k1_funct_1(X2,X1),X0)
& r2_hidden(X1,k1_relat_1(X2)) ) ) ),
inference(flattening,[],[f8868]) ).
fof(f8870,plain,
! [X0,X1] :
( ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ! [X2] :
( ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| ( X1 = k8_relat_1(X0,X2)
<=> ( ! [X4] :
( ~ r2_hidden(X4,k1_relat_1(X1))
| k1_funct_1(X2,X4) = k1_funct_1(X1,X4) )
& ! [X3] :
( r2_hidden(X3,k1_relat_1(X1))
<=> ( r2_hidden(k1_funct_1(X2,X3),X0)
& r2_hidden(X3,k1_relat_1(X2)) ) ) ) ) ) ),
inference(ennf_transformation,[],[f6495]) ).
fof(f8871,plain,
! [X0,X1] :
( ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ! [X2] :
( ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| ( X1 = k8_relat_1(X0,X2)
<=> ( ! [X4] :
( ~ r2_hidden(X4,k1_relat_1(X1))
| k1_funct_1(X2,X4) = k1_funct_1(X1,X4) )
& ! [X3] :
( r2_hidden(X3,k1_relat_1(X1))
<=> ( r2_hidden(k1_funct_1(X2,X3),X0)
& r2_hidden(X3,k1_relat_1(X2)) ) ) ) ) ) ),
inference(flattening,[],[f8870]) ).
fof(f8872,plain,
! [X0,X1] :
( ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ( v1_funct_1(k8_relat_1(X0,X1))
& v1_relat_1(k8_relat_1(X0,X1)) ) ),
inference(ennf_transformation,[],[f923]) ).
fof(f8873,plain,
! [X0,X1] :
( ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ( v1_funct_1(k8_relat_1(X0,X1))
& v1_relat_1(k8_relat_1(X0,X1)) ) ),
inference(flattening,[],[f8872]) ).
fof(f8874,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| v1_relat_1(k8_relat_1(X0,X1)) ),
inference(ennf_transformation,[],[f911]) ).
fof(f8875,plain,
! [X0,X1,X2] :
( ~ v1_relat_1(X2)
| k7_relat_1(k8_relat_1(X0,X2),X1) = k8_relat_1(X0,k7_relat_1(X2,X1)) ),
inference(ennf_transformation,[],[f848]) ).
fof(f8876,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| ! [X2] :
( ~ v1_relat_1(X2)
| k8_relat_1(X0,k5_relat_1(X1,X2)) = k5_relat_1(X1,k8_relat_1(X0,X2)) ) ),
inference(ennf_transformation,[],[f847]) ).
fof(f8877,plain,
! [X0] :
( ~ v1_relat_1(X0)
| k8_relat_1(k1_xboole_0,X0) = k1_xboole_0 ),
inference(ennf_transformation,[],[f845]) ).
fof(f8878,plain,
! [X0,X1,X2] :
( ~ v1_relat_1(X2)
| k8_relat_1(k4_xboole_0(X0,X1),X2) = k4_xboole_0(k8_relat_1(X0,X2),k8_relat_1(X1,X2)) ),
inference(ennf_transformation,[],[f844]) ).
fof(f8879,plain,
! [X0,X1,X2] :
( ~ v1_relat_1(X2)
| k8_relat_1(k3_xboole_0(X0,X1),X2) = k3_xboole_0(k8_relat_1(X0,X2),k8_relat_1(X1,X2)) ),
inference(ennf_transformation,[],[f843]) ).
fof(f8880,plain,
! [X0,X1,X2] :
( ~ v1_relat_1(X2)
| k8_relat_1(k2_xboole_0(X0,X1),X2) = k2_xboole_0(k8_relat_1(X0,X2),k8_relat_1(X1,X2)) ),
inference(ennf_transformation,[],[f842]) ).
fof(f8881,plain,
! [X0,X1,X2] :
( ~ v1_relat_1(X2)
| ! [X3] :
( ~ v1_relat_1(X3)
| ~ r1_tarski(X0,X1)
| ~ r1_tarski(X2,X3)
| r1_tarski(k8_relat_1(X0,X2),k8_relat_1(X1,X3)) ) ),
inference(ennf_transformation,[],[f841]) ).
fof(f8882,plain,
! [X0,X1,X2] :
( ~ v1_relat_1(X2)
| ! [X3] :
( ~ v1_relat_1(X3)
| ~ r1_tarski(X0,X1)
| ~ r1_tarski(X2,X3)
| r1_tarski(k8_relat_1(X0,X2),k8_relat_1(X1,X3)) ) ),
inference(flattening,[],[f8881]) ).
fof(f8883,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| ! [X2] :
( ~ v1_relat_1(X2)
| ~ r1_tarski(X1,X2)
| r1_tarski(k8_relat_1(X0,X1),k8_relat_1(X0,X2)) ) ),
inference(ennf_transformation,[],[f840]) ).
fof(f8884,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| ! [X2] :
( ~ v1_relat_1(X2)
| ~ r1_tarski(X1,X2)
| r1_tarski(k8_relat_1(X0,X1),k8_relat_1(X0,X2)) ) ),
inference(flattening,[],[f8883]) ).
fof(f8885,plain,
! [X0,X1,X2] :
( ~ v1_relat_1(X2)
| ~ r1_tarski(X0,X1)
| r1_tarski(k8_relat_1(X0,X2),k8_relat_1(X1,X2)) ),
inference(ennf_transformation,[],[f839]) ).
fof(f8886,plain,
! [X0,X1,X2] :
( ~ v1_relat_1(X2)
| ~ r1_tarski(X0,X1)
| r1_tarski(k8_relat_1(X0,X2),k8_relat_1(X1,X2)) ),
inference(flattening,[],[f8885]) ).
fof(f8887,plain,
! [X0,X1,X2] :
( ~ v1_relat_1(X2)
| ~ r1_tarski(X0,X1)
| k8_relat_1(X0,k8_relat_1(X1,X2)) = k8_relat_1(X0,X2) ),
inference(ennf_transformation,[],[f838]) ).
fof(f8888,plain,
! [X0,X1,X2] :
( ~ v1_relat_1(X2)
| ~ r1_tarski(X0,X1)
| k8_relat_1(X0,k8_relat_1(X1,X2)) = k8_relat_1(X0,X2) ),
inference(flattening,[],[f8887]) ).
fof(f8889,plain,
! [X0,X1,X2] :
( ~ v1_relat_1(X2)
| ~ r1_tarski(X0,X1)
| k8_relat_1(X1,k8_relat_1(X0,X2)) = k8_relat_1(X0,X2) ),
inference(ennf_transformation,[],[f837]) ).
fof(f8890,plain,
! [X0,X1,X2] :
( ~ v1_relat_1(X2)
| ~ r1_tarski(X0,X1)
| k8_relat_1(X1,k8_relat_1(X0,X2)) = k8_relat_1(X0,X2) ),
inference(flattening,[],[f8889]) ).
fof(f8891,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| k8_relat_1(X0,k8_relat_1(X0,X1)) = k8_relat_1(X0,X1) ),
inference(ennf_transformation,[],[f836]) ).
fof(f8892,plain,
! [X0,X1,X2] :
( ~ v1_relat_1(X2)
| k8_relat_1(X0,k8_relat_1(X1,X2)) = k8_relat_1(k3_xboole_0(X0,X1),X2) ),
inference(ennf_transformation,[],[f835]) ).
fof(f8893,plain,
! [X0] :
( ~ v1_relat_1(X0)
| k8_relat_1(k2_relat_1(X0),X0) = X0 ),
inference(ennf_transformation,[],[f834]) ).
fof(f8894,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| ~ r1_tarski(k2_relat_1(X1),X0)
| k8_relat_1(X0,X1) = X1 ),
inference(ennf_transformation,[],[f833]) ).
fof(f8895,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| ~ r1_tarski(k2_relat_1(X1),X0)
| k8_relat_1(X0,X1) = X1 ),
inference(flattening,[],[f8894]) ).
fof(f8896,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| k8_relat_1(X0,X1) = k3_xboole_0(X1,k2_zfmisc_1(k1_relat_1(X1),X0)) ),
inference(ennf_transformation,[],[f832]) ).
fof(f8897,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| ! [X2] :
( ~ v1_relat_1(X2)
| r1_tarski(k5_relat_1(X1,k8_relat_1(X0,X2)),k5_relat_1(X1,X2)) ) ),
inference(ennf_transformation,[],[f830]) ).
fof(f8898,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| ! [X2] :
( ~ v1_relat_1(X2)
| r1_tarski(k5_relat_1(k8_relat_1(X0,X1),X2),k5_relat_1(X1,X2)) ) ),
inference(ennf_transformation,[],[f829]) ).
fof(f8899,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| ~ r1_tarski(X0,k2_relat_1(X1))
| k2_relat_1(k8_relat_1(X0,X1)) = X0 ),
inference(ennf_transformation,[],[f828]) ).
fof(f8900,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| ~ r1_tarski(X0,k2_relat_1(X1))
| k2_relat_1(k8_relat_1(X0,X1)) = X0 ),
inference(flattening,[],[f8899]) ).
fof(f8901,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| k2_relat_1(k8_relat_1(X0,X1)) = k3_xboole_0(k2_relat_1(X1),X0) ),
inference(ennf_transformation,[],[f827]) ).
fof(f8902,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| r1_tarski(k2_relat_1(k8_relat_1(X0,X1)),k2_relat_1(X1)) ),
inference(ennf_transformation,[],[f826]) ).
fof(f8903,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| r1_tarski(k8_relat_1(X0,X1),X1) ),
inference(ennf_transformation,[],[f825]) ).
fof(f8904,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| r1_tarski(k2_relat_1(k8_relat_1(X0,X1)),X0) ),
inference(ennf_transformation,[],[f824]) ).
fof(f8905,plain,
! [X0,X1,X2] :
( ~ v1_relat_1(X2)
| ( r2_hidden(X0,k2_relat_1(k8_relat_1(X1,X2)))
<=> ( r2_hidden(X0,k2_relat_1(X2))
& r2_hidden(X0,X1) ) ) ),
inference(ennf_transformation,[],[f823]) ).
fof(f8906,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| ! [X2] :
( ~ v1_relat_1(X2)
| ( X2 = k8_relat_1(X0,X1)
<=> ! [X3,X4] :
( r2_hidden(k4_tarski(X3,X4),X2)
<=> ( r2_hidden(k4_tarski(X3,X4),X1)
& r2_hidden(X4,X0) ) ) ) ) ),
inference(ennf_transformation,[],[f820]) ).
fof(f8907,plain,
! [X0] :
( ~ v1_finseq_1(X0)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| k3_finseq_1(X0) = k1_card_1(X0) ),
inference(ennf_transformation,[],[f3367]) ).
fof(f8908,plain,
! [X0] :
( ~ v1_finseq_1(X0)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| k3_finseq_1(X0) = k1_card_1(X0) ),
inference(flattening,[],[f8907]) ).
fof(f8909,plain,
! [X0] :
( ~ v1_finseq_1(X0)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| m2_subset_1(k3_finseq_1(X0),k1_numbers,k5_numbers) ),
inference(ennf_transformation,[],[f3366]) ).
fof(f8910,plain,
! [X0] :
( ~ v1_finseq_1(X0)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| m2_subset_1(k3_finseq_1(X0),k1_numbers,k5_numbers) ),
inference(flattening,[],[f8909]) ).
fof(f8911,plain,
! [X0,X1] :
( ~ m2_finseq_1(X1,X0)
| ( m2_relset_1(X1,k5_numbers,X0)
& v1_finseq_1(X1)
& v1_funct_1(X1) ) ),
inference(ennf_transformation,[],[f3360]) ).
fof(f8914,plain,
! [X0] :
( ~ v1_finseq_1(X0)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ( k3_finseq_1(X0) = np__0
<=> X0 = k1_xboole_0 ) ),
inference(ennf_transformation,[],[f3279]) ).
fof(f8915,plain,
! [X0] :
( ~ v1_finseq_1(X0)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ( k3_finseq_1(X0) = np__0
<=> X0 = k1_xboole_0 ) ),
inference(flattening,[],[f8914]) ).
fof(f8916,plain,
! [X0] :
( ~ v1_finseq_1(X0)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ( v1_finset_1(X0)
& v1_funct_1(X0)
& v1_relat_1(X0) ) ),
inference(ennf_transformation,[],[f3227]) ).
fof(f8917,plain,
! [X0] :
( ~ v1_finseq_1(X0)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ( v1_finset_1(X0)
& v1_funct_1(X0)
& v1_relat_1(X0) ) ),
inference(flattening,[],[f8916]) ).
fof(f8918,plain,
! [X0,X1] :
( ~ m2_relset_1(X1,X0,X0)
| ~ v1_partfun1(X1,X0,X0)
| ~ v1_relat_2(X1)
| k1_xboole_0 != X1
| ! [X2] : ~ r2_hidden(X2,X0) ),
inference(ennf_transformation,[],[f3408]) ).
fof(f8919,plain,
! [X0,X1] :
( ~ m2_relset_1(X1,X0,X0)
| ~ v1_partfun1(X1,X0,X0)
| ~ v1_relat_2(X1)
| k1_xboole_0 != X1
| ! [X2] : ~ r2_hidden(X2,X0) ),
inference(flattening,[],[f8918]) ).
fof(f8920,plain,
! [X0,X1,X2] :
( ~ m2_relset_1(X2,X0,X0)
| ~ v1_partfun1(X2,X0,X0)
| ~ v1_relat_2(X2)
| ~ r2_hidden(X1,X0)
| r2_hidden(k4_tarski(X1,X1),X2) ),
inference(ennf_transformation,[],[f3405]) ).
fof(f8921,plain,
! [X0,X1,X2] :
( ~ m2_relset_1(X2,X0,X0)
| ~ v1_partfun1(X2,X0,X0)
| ~ v1_relat_2(X2)
| ~ r2_hidden(X1,X0)
| r2_hidden(k4_tarski(X1,X1),X2) ),
inference(flattening,[],[f8920]) ).
fof(f8924,plain,
! [X0] :
( ~ v1_relat_1(X0)
| ! [X1] :
( ~ v1_relat_1(X1)
| ~ v1_relat_2(X1)
| ~ v1_relat_2(X0)
| ( v1_relat_2(k3_xboole_0(X0,X1))
& v1_relat_2(k2_xboole_0(X0,X1)) ) ) ),
inference(ennf_transformation,[],[f1156]) ).
fof(f8925,plain,
! [X0] :
( ~ v1_relat_1(X0)
| ! [X1] :
( ~ v1_relat_1(X1)
| ~ v1_relat_2(X1)
| ~ v1_relat_2(X0)
| ( v1_relat_2(k3_xboole_0(X0,X1))
& v1_relat_2(k2_xboole_0(X0,X1)) ) ) ),
inference(flattening,[],[f8924]) ).
fof(f8926,plain,
! [X0] :
( ~ v1_relat_1(X0)
| ~ v1_relat_2(X0)
| ( k2_relat_1(X0) = k2_relat_1(k4_relat_1(X0))
& k1_relat_1(X0) = k1_relat_1(k4_relat_1(X0)) ) ),
inference(ennf_transformation,[],[f1154]) ).
fof(f8927,plain,
! [X0] :
( ~ v1_relat_1(X0)
| ~ v1_relat_2(X0)
| ( k2_relat_1(X0) = k2_relat_1(k4_relat_1(X0))
& k1_relat_1(X0) = k1_relat_1(k4_relat_1(X0)) ) ),
inference(flattening,[],[f8926]) ).
fof(f8928,plain,
! [X0] :
( ~ v1_relat_1(X0)
| ~ v1_relat_2(X0)
| v1_relat_2(k4_relat_1(X0)) ),
inference(ennf_transformation,[],[f1152]) ).
fof(f8929,plain,
! [X0] :
( ~ v1_relat_1(X0)
| ~ v1_relat_2(X0)
| v1_relat_2(k4_relat_1(X0)) ),
inference(flattening,[],[f8928]) ).
fof(f8930,plain,
! [X0] :
( ~ v1_relat_1(X0)
| ~ v8_relat_2(X0)
| ~ v3_relat_2(X0)
| v1_relat_2(X0) ),
inference(ennf_transformation,[],[f1147]) ).
fof(f8931,plain,
! [X0] :
( ~ v1_relat_1(X0)
| ~ v8_relat_2(X0)
| ~ v3_relat_2(X0)
| v1_relat_2(X0) ),
inference(flattening,[],[f8930]) ).
fof(f8932,plain,
! [X0] :
( ~ v1_relat_1(X0)
| ~ v8_relat_2(X0)
| v8_relat_2(k4_relat_1(X0)) ),
inference(ennf_transformation,[],[f1167]) ).
fof(f8933,plain,
! [X0] :
( ~ v1_relat_1(X0)
| ~ v8_relat_2(X0)
| v8_relat_2(k4_relat_1(X0)) ),
inference(flattening,[],[f8932]) ).
fof(f8934,plain,
! [X0] :
( ~ v1_relat_1(X0)
| ~ v3_relat_2(X0)
| v3_relat_2(k4_relat_1(X0)) ),
inference(ennf_transformation,[],[f1159]) ).
fof(f8935,plain,
! [X0] :
( ~ v1_relat_1(X0)
| ~ v3_relat_2(X0)
| v3_relat_2(k4_relat_1(X0)) ),
inference(flattening,[],[f8934]) ).
fof(f8936,plain,
! [X0] :
( ~ v1_relat_1(X0)
| ( v3_relat_2(X0)
<=> X0 = k4_relat_1(X0) ) ),
inference(ennf_transformation,[],[f1155]) ).
fof(f8937,plain,
! [X0] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ~ v2_funct_1(X0)
| k2_funct_1(X0) = k4_relat_1(X0) ),
inference(ennf_transformation,[],[f988]) ).
fof(f8938,plain,
! [X0] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ~ v2_funct_1(X0)
| k2_funct_1(X0) = k4_relat_1(X0) ),
inference(flattening,[],[f8937]) ).
fof(f8939,plain,
! [X0] :
( ~ v2_funct_1(X0)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ( v1_funct_1(k4_relat_1(X0))
& v1_relat_1(k4_relat_1(X0)) ) ),
inference(ennf_transformation,[],[f921]) ).
fof(f8940,plain,
! [X0] :
( ~ v2_funct_1(X0)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ( v1_funct_1(k4_relat_1(X0))
& v1_relat_1(k4_relat_1(X0)) ) ),
inference(flattening,[],[f8939]) ).
fof(f8941,plain,
! [X0] :
( ~ v1_relat_1(X0)
| k4_relat_1(k4_relat_1(X0)) = X0 ),
inference(ennf_transformation,[],[f907]) ).
fof(f8942,plain,
! [X0] :
( ~ v1_relat_1(X0)
| v1_relat_1(k4_relat_1(X0)) ),
inference(ennf_transformation,[],[f906]) ).
fof(f8943,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| r1_tarski(k3_xboole_0(k2_relat_1(X1),X0),k10_relat_1(k4_relat_1(X1),k10_relat_1(X1,X0))) ),
inference(ennf_transformation,[],[f893]) ).
fof(f8944,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| r1_tarski(k3_xboole_0(k1_relat_1(X1),X0),k9_relat_1(k4_relat_1(X1),k9_relat_1(X1,X0))) ),
inference(ennf_transformation,[],[f872]) ).
fof(f8945,plain,
! [X0] :
( ~ v1_relat_1(X0)
| ! [X1] :
( ~ v1_relat_1(X1)
| k4_relat_1(k5_relat_1(X0,X1)) = k5_relat_1(k4_relat_1(X1),k4_relat_1(X0)) ) ),
inference(ennf_transformation,[],[f758]) ).
fof(f8946,plain,
! [X0] :
( ~ v1_relat_1(X0)
| ! [X1] :
( ~ v1_relat_1(X1)
| k4_relat_1(k4_xboole_0(X0,X1)) = k4_xboole_0(k4_relat_1(X0),k4_relat_1(X1)) ) ),
inference(ennf_transformation,[],[f744]) ).
fof(f8947,plain,
! [X0] :
( ~ v1_relat_1(X0)
| ! [X1] :
( ~ v1_relat_1(X1)
| k4_relat_1(k2_xboole_0(X0,X1)) = k2_xboole_0(k4_relat_1(X0),k4_relat_1(X1)) ) ),
inference(ennf_transformation,[],[f743]) ).
fof(f8948,plain,
! [X0] :
( ~ v1_relat_1(X0)
| ! [X1] :
( ~ v1_relat_1(X1)
| k4_relat_1(k3_xboole_0(X0,X1)) = k3_xboole_0(k4_relat_1(X0),k4_relat_1(X1)) ) ),
inference(ennf_transformation,[],[f742]) ).
fof(f8949,plain,
! [X0] :
( ~ v1_relat_1(X0)
| ( k1_relat_1(X0) = k2_relat_1(k4_relat_1(X0))
& k2_relat_1(X0) = k1_relat_1(k4_relat_1(X0)) ) ),
inference(ennf_transformation,[],[f740]) ).
fof(f8950,plain,
! [X0] :
( ~ v1_relat_1(X0)
| ! [X1] :
( ~ v1_relat_1(X1)
| ( X1 = k4_relat_1(X0)
<=> ! [X2,X3] :
( r2_hidden(k4_tarski(X2,X3),X1)
<=> r2_hidden(k4_tarski(X3,X2),X0) ) ) ) ),
inference(ennf_transformation,[],[f737]) ).
fof(f8951,plain,
! [X0] :
( ~ v1_xboole_0(X0)
| ( v1_relat_1(k4_relat_1(X0))
& v1_xboole_0(k4_relat_1(X0)) ) ),
inference(ennf_transformation,[],[f693]) ).
fof(f8952,plain,
! [X0] :
( ~ l1_cat_1(X0)
| ~ v1_xboole_0(u1_cat_1(X0)) ),
inference(ennf_transformation,[],[f4468]) ).
fof(f8953,plain,
! [X0] :
( ~ l1_cat_1(X0)
| ~ v1_xboole_0(u2_cat_1(X0)) ),
inference(ennf_transformation,[],[f4469]) ).
fof(f8954,plain,
! [X0,X1] :
( ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ( l1_cat_1(k11_cat_2(X0,X1))
& v2_cat_1(k11_cat_2(X0,X1)) ) ),
inference(ennf_transformation,[],[f5461]) ).
fof(f8955,plain,
! [X0,X1] :
( ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ( l1_cat_1(k11_cat_2(X0,X1))
& v2_cat_1(k11_cat_2(X0,X1)) ) ),
inference(flattening,[],[f8954]) ).
fof(f8956,plain,
! [X0] :
( ~ l1_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| k5_rlvect_1(X0,k2_rlvect_1(X0,k5_rlvect_1(X0,X1),X2)) = k2_rlvect_1(X0,k5_rlvect_1(X0,X2),X1) ) ) ),
inference(ennf_transformation,[],[f5272]) ).
fof(f8957,plain,
! [X0] :
( ~ l1_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| k5_rlvect_1(X0,k2_rlvect_1(X0,k5_rlvect_1(X0,X1),X2)) = k2_rlvect_1(X0,k5_rlvect_1(X0,X2),X1) ) ) ),
inference(flattening,[],[f8956]) ).
fof(f8958,plain,
! [X0] :
( ~ l1_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| k2_rlvect_1(X0,X1,X2) = k5_rlvect_1(X0,k2_rlvect_1(X0,k5_rlvect_1(X0,X2),k5_rlvect_1(X0,X1))) ) ) ),
inference(ennf_transformation,[],[f5269]) ).
fof(f8959,plain,
! [X0] :
( ~ l1_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| k2_rlvect_1(X0,X1,X2) = k5_rlvect_1(X0,k2_rlvect_1(X0,k5_rlvect_1(X0,X2),k5_rlvect_1(X0,X1))) ) ) ),
inference(flattening,[],[f8958]) ).
fof(f8960,plain,
! [X0] :
( ~ l1_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| ( k2_rlvect_1(X0,X1,X2) = k1_rlvect_1(X0)
<=> k5_rlvect_1(X0,X1) = X2 ) ) ) ),
inference(ennf_transformation,[],[f5240]) ).
fof(f8961,plain,
! [X0] :
( ~ l1_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| ( k2_rlvect_1(X0,X1,X2) = k1_rlvect_1(X0)
<=> k5_rlvect_1(X0,X1) = X2 ) ) ) ),
inference(flattening,[],[f8960]) ).
fof(f8962,plain,
! [X0] :
( ~ l1_rlvect_1(X0)
| v3_struct_0(X0)
| ( ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| ! [X3] :
( ~ m1_subset_1(X3,u1_struct_0(X0))
| ( ? [X4] :
( k2_rlvect_1(X0,X1,X4) = k1_rlvect_1(X0)
& m1_subset_1(X4,u1_struct_0(X0)) )
& k2_rlvect_1(X0,X1,k1_rlvect_1(X0)) = X1
& k2_rlvect_1(X0,k2_rlvect_1(X0,X1,X2),X3) = k2_rlvect_1(X0,X1,k2_rlvect_1(X0,X2,X3))
& k2_rlvect_1(X0,X1,X2) = k2_rlvect_1(X0,X2,X1) ) ) ) )
<=> ( l1_rlvect_1(X0)
& v6_rlvect_1(X0)
& v5_rlvect_1(X0)
& v4_rlvect_1(X0)
& v3_rlvect_1(X0)
& ~ v3_struct_0(X0) ) ) ),
inference(ennf_transformation,[],[f5164]) ).
fof(f8963,plain,
! [X0] :
( ~ l1_rlvect_1(X0)
| v3_struct_0(X0)
| ( ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| ! [X3] :
( ~ m1_subset_1(X3,u1_struct_0(X0))
| ( ? [X4] :
( k2_rlvect_1(X0,X1,X4) = k1_rlvect_1(X0)
& m1_subset_1(X4,u1_struct_0(X0)) )
& k2_rlvect_1(X0,X1,k1_rlvect_1(X0)) = X1
& k2_rlvect_1(X0,k2_rlvect_1(X0,X1,X2),X3) = k2_rlvect_1(X0,X1,k2_rlvect_1(X0,X2,X3))
& k2_rlvect_1(X0,X1,X2) = k2_rlvect_1(X0,X2,X1) ) ) ) )
<=> ( l1_rlvect_1(X0)
& v6_rlvect_1(X0)
& v5_rlvect_1(X0)
& v4_rlvect_1(X0)
& v3_rlvect_1(X0)
& ~ v3_struct_0(X0) ) ) ),
inference(flattening,[],[f8962]) ).
fof(f8964,plain,
! [X0,X1,X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l1_rlvect_1(X0)
| v3_struct_0(X0)
| m1_subset_1(k2_rlvect_1(X0,X1,X2),u1_struct_0(X0)) ),
inference(ennf_transformation,[],[f4970]) ).
fof(f8965,plain,
! [X0,X1,X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l1_rlvect_1(X0)
| v3_struct_0(X0)
| m1_subset_1(k2_rlvect_1(X0,X1,X2),u1_struct_0(X0)) ),
inference(flattening,[],[f8964]) ).
fof(f8966,plain,
! [X0] :
( ~ l1_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| k5_rlvect_1(X0,k2_rlvect_1(X0,X1,X2)) = k2_rlvect_1(X0,k5_rlvect_1(X0,X2),k5_rlvect_1(X0,X1)) ) ) ),
inference(ennf_transformation,[],[f4908]) ).
fof(f8967,plain,
! [X0] :
( ~ l1_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| k5_rlvect_1(X0,k2_rlvect_1(X0,X1,X2)) = k2_rlvect_1(X0,k5_rlvect_1(X0,X2),k5_rlvect_1(X0,X1)) ) ) ),
inference(flattening,[],[f8966]) ).
fof(f8968,plain,
! [X0] :
( ~ l1_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| ( k2_rlvect_1(X0,X2,X1) != X1
& k2_rlvect_1(X0,X1,X2) != X1 )
| X2 = k1_rlvect_1(X0) ) ) ),
inference(ennf_transformation,[],[f4885]) ).
fof(f8969,plain,
! [X0] :
( ~ l1_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| ( k2_rlvect_1(X0,X2,X1) != X1
& k2_rlvect_1(X0,X1,X2) != X1 )
| X2 = k1_rlvect_1(X0) ) ) ),
inference(flattening,[],[f8968]) ).
fof(f8970,plain,
! [X0] :
( ~ l1_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| ! [X3] :
( ~ m1_subset_1(X3,u1_struct_0(X0))
| ! [X4] :
( ~ m1_subset_1(X4,u1_struct_0(X0))
| ( k2_rlvect_1(X0,X3,X1) != k2_rlvect_1(X0,X4,X1)
& k2_rlvect_1(X0,X1,X3) != k2_rlvect_1(X0,X1,X4) )
| X3 = X4 ) ) ) ) ),
inference(ennf_transformation,[],[f4884]) ).
fof(f8971,plain,
! [X0] :
( ~ l1_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| ! [X3] :
( ~ m1_subset_1(X3,u1_struct_0(X0))
| ! [X4] :
( ~ m1_subset_1(X4,u1_struct_0(X0))
| ( k2_rlvect_1(X0,X3,X1) != k2_rlvect_1(X0,X4,X1)
& k2_rlvect_1(X0,X1,X3) != k2_rlvect_1(X0,X1,X4) )
| X3 = X4 ) ) ) ) ),
inference(flattening,[],[f8970]) ).
fof(f8972,plain,
! [X0] :
( ~ l1_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| ? [X3] :
( k2_rlvect_1(X0,X1,X3) = X2
& m1_subset_1(X3,u1_struct_0(X0)) ) ) ) ),
inference(ennf_transformation,[],[f4883]) ).
fof(f8973,plain,
! [X0] :
( ~ l1_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| ? [X3] :
( k2_rlvect_1(X0,X1,X3) = X2
& m1_subset_1(X3,u1_struct_0(X0)) ) ) ) ),
inference(flattening,[],[f8972]) ).
fof(f8974,plain,
! [X0] :
( ~ l1_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| k1_rlvect_1(X0) != k2_rlvect_1(X0,X1,X2)
| X1 = k5_rlvect_1(X0,X2) ) ) ),
inference(ennf_transformation,[],[f4882]) ).
fof(f8975,plain,
! [X0] :
( ~ l1_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| k1_rlvect_1(X0) != k2_rlvect_1(X0,X1,X2)
| X1 = k5_rlvect_1(X0,X2) ) ) ),
inference(flattening,[],[f8974]) ).
fof(f8976,plain,
! [X0] :
( ~ l1_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ( k2_rlvect_1(X0,k5_rlvect_1(X0,X1),X1) = k1_rlvect_1(X0)
& k2_rlvect_1(X0,X1,k5_rlvect_1(X0,X1)) = k1_rlvect_1(X0) ) ) ),
inference(ennf_transformation,[],[f4879]) ).
fof(f8977,plain,
! [X0] :
( ~ l1_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ( k2_rlvect_1(X0,k5_rlvect_1(X0,X1),X1) = k1_rlvect_1(X0)
& k2_rlvect_1(X0,X1,k5_rlvect_1(X0,X1)) = k1_rlvect_1(X0) ) ) ),
inference(flattening,[],[f8976]) ).
fof(f8978,plain,
! [X0] :
( ~ l1_rlvect_1(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| ( X2 = k5_rlvect_1(X0,X1)
<=> k2_rlvect_1(X0,X1,X2) = k1_rlvect_1(X0) ) ) ) ),
inference(ennf_transformation,[],[f4872]) ).
fof(f8979,plain,
! [X0] :
( ~ l1_rlvect_1(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| ( X2 = k5_rlvect_1(X0,X1)
<=> k2_rlvect_1(X0,X1,X2) = k1_rlvect_1(X0) ) ) ) ),
inference(flattening,[],[f8978]) ).
fof(f8980,plain,
! [X0] :
( ~ l1_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ( k2_rlvect_1(X0,k1_rlvect_1(X0),X1) = X1
& k2_rlvect_1(X0,X1,k1_rlvect_1(X0)) = X1 ) ) ),
inference(ennf_transformation,[],[f4871]) ).
fof(f8981,plain,
! [X0] :
( ~ l1_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ( k2_rlvect_1(X0,k1_rlvect_1(X0),X1) = X1
& k2_rlvect_1(X0,X1,k1_rlvect_1(X0)) = X1 ) ) ),
inference(flattening,[],[f8980]) ).
fof(f8982,plain,
! [X0] :
( ~ l1_rlvect_1(X0)
| v3_struct_0(X0)
| ( v6_rlvect_1(X0)
<=> ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ? [X2] :
( k2_rlvect_1(X0,X1,X2) = k1_rlvect_1(X0)
& m1_subset_1(X2,u1_struct_0(X0)) ) ) ) ),
inference(ennf_transformation,[],[f4865]) ).
fof(f8983,plain,
! [X0] :
( ~ l1_rlvect_1(X0)
| v3_struct_0(X0)
| ( v6_rlvect_1(X0)
<=> ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ? [X2] :
( k2_rlvect_1(X0,X1,X2) = k1_rlvect_1(X0)
& m1_subset_1(X2,u1_struct_0(X0)) ) ) ) ),
inference(flattening,[],[f8982]) ).
fof(f8984,plain,
! [X0] :
( ~ l1_rlvect_1(X0)
| v3_struct_0(X0)
| ( v5_rlvect_1(X0)
<=> ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| k2_rlvect_1(X0,X1,k1_rlvect_1(X0)) = X1 ) ) ),
inference(ennf_transformation,[],[f4864]) ).
fof(f8985,plain,
! [X0] :
( ~ l1_rlvect_1(X0)
| v3_struct_0(X0)
| ( v5_rlvect_1(X0)
<=> ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| k2_rlvect_1(X0,X1,k1_rlvect_1(X0)) = X1 ) ) ),
inference(flattening,[],[f8984]) ).
fof(f8986,plain,
! [X0] :
( ~ l1_rlvect_1(X0)
| v3_struct_0(X0)
| ( v4_rlvect_1(X0)
<=> ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| ! [X3] :
( ~ m1_subset_1(X3,u1_struct_0(X0))
| k2_rlvect_1(X0,k2_rlvect_1(X0,X1,X2),X3) = k2_rlvect_1(X0,X1,k2_rlvect_1(X0,X2,X3)) ) ) ) ) ),
inference(ennf_transformation,[],[f4863]) ).
fof(f8987,plain,
! [X0] :
( ~ l1_rlvect_1(X0)
| v3_struct_0(X0)
| ( v4_rlvect_1(X0)
<=> ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| ! [X3] :
( ~ m1_subset_1(X3,u1_struct_0(X0))
| k2_rlvect_1(X0,k2_rlvect_1(X0,X1,X2),X3) = k2_rlvect_1(X0,X1,k2_rlvect_1(X0,X2,X3)) ) ) ) ) ),
inference(flattening,[],[f8986]) ).
fof(f8988,plain,
! [X0] :
( ~ l1_rlvect_1(X0)
| v3_struct_0(X0)
| ( v3_rlvect_1(X0)
<=> ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| k2_rlvect_1(X0,X1,X2) = k2_rlvect_1(X0,X2,X1) ) ) ) ),
inference(ennf_transformation,[],[f4862]) ).
fof(f8989,plain,
! [X0] :
( ~ l1_rlvect_1(X0)
| v3_struct_0(X0)
| ( v3_rlvect_1(X0)
<=> ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| k2_rlvect_1(X0,X1,X2) = k2_rlvect_1(X0,X2,X1) ) ) ) ),
inference(flattening,[],[f8988]) ).
fof(f8990,plain,
! [X0] :
( ~ l1_rlvect_1(X0)
| ( m2_relset_1(u1_rlvect_1(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& v1_funct_2(u1_rlvect_1(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& v1_funct_1(u1_rlvect_1(X0)) ) ),
inference(ennf_transformation,[],[f4982]) ).
fof(f8991,plain,
! [X0] :
( ~ l1_rlvect_1(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| k2_rlvect_1(X0,X1,X2) = k2_binop_1(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),u1_rlvect_1(X0),X1,X2) ) ) ),
inference(ennf_transformation,[],[f4861]) ).
fof(f8992,plain,
! [X0] :
( ~ l1_rlvect_1(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| k2_rlvect_1(X0,X1,X2) = k2_binop_1(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),u1_rlvect_1(X0),X1,X2) ) ) ),
inference(flattening,[],[f8991]) ).
fof(f8993,plain,
! [X0] :
( v1_xboole_0(X0)
| ! [X1] :
( v1_xboole_0(X1)
| ! [X2] :
( ~ m1_subset_1(X2,X0)
| ! [X3] :
( ~ m1_subset_1(X3,X1)
| ! [X4] :
( ~ m2_relset_1(X4,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X4,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X4)
| ! [X5] :
( ~ m2_relset_1(X5,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X5,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X5)
| ( ( r2_binop_1(X1,X3,X5)
& r2_binop_1(X0,X2,X4) )
<=> r2_binop_1(k2_zfmisc_1(X0,X1),k1_domain_1(X0,X1,X2,X3),k7_filter_1(X0,X1,X4,X5)) ) ) ) ) ) ) ),
inference(ennf_transformation,[],[f5749]) ).
fof(f8994,plain,
! [X0] :
( v1_xboole_0(X0)
| ! [X1] :
( v1_xboole_0(X1)
| ! [X2] :
( ~ m1_subset_1(X2,X0)
| ! [X3] :
( ~ m1_subset_1(X3,X1)
| ! [X4] :
( ~ m2_relset_1(X4,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X4,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X4)
| ! [X5] :
( ~ m2_relset_1(X5,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X5,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X5)
| ( ( r2_binop_1(X1,X3,X5)
& r2_binop_1(X0,X2,X4) )
<=> r2_binop_1(k2_zfmisc_1(X0,X1),k1_domain_1(X0,X1,X2,X3),k7_filter_1(X0,X1,X4,X5)) ) ) ) ) ) ) ),
inference(flattening,[],[f8993]) ).
fof(f8995,plain,
! [X0] :
( v1_xboole_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,X0)
| ! [X2] :
( ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ( r2_binop_1(X0,X1,X2)
<=> ! [X3] :
( ~ m1_subset_1(X3,X0)
| k2_binop_1(X0,X0,X0,X2,X3,X1) = X3 ) ) ) ) ),
inference(ennf_transformation,[],[f2084]) ).
fof(f8996,plain,
! [X0] :
( v1_xboole_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,X0)
| ! [X2] :
( ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ( r2_binop_1(X0,X1,X2)
<=> ! [X3] :
( ~ m1_subset_1(X3,X0)
| k2_binop_1(X0,X0,X0,X2,X3,X1) = X3 ) ) ) ) ),
inference(flattening,[],[f8995]) ).
fof(f8997,plain,
! [X0,X1] :
( ~ m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| ! [X2] :
( ~ m1_subset_1(X2,X0)
| ! [X3] :
( ~ m1_subset_1(X3,X0)
| ~ r2_binop_1(X0,X3,X1)
| ~ r1_binop_1(X0,X2,X1)
| X2 = X3 ) ) ),
inference(ennf_transformation,[],[f2063]) ).
fof(f8998,plain,
! [X0,X1] :
( ~ m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| ! [X2] :
( ~ m1_subset_1(X2,X0)
| ! [X3] :
( ~ m1_subset_1(X3,X0)
| ~ r2_binop_1(X0,X3,X1)
| ~ r1_binop_1(X0,X2,X1)
| X2 = X3 ) ) ),
inference(flattening,[],[f8997]) ).
fof(f8999,plain,
! [X0,X1] :
( ~ m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| ! [X2] :
( ~ m1_subset_1(X2,X0)
| ~ v1_binop_1(X1,X0)
| ( r1_binop_1(X0,X2,X1)
<=> r2_binop_1(X0,X2,X1) ) ) ),
inference(ennf_transformation,[],[f2062]) ).
fof(f9000,plain,
! [X0,X1] :
( ~ m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| ! [X2] :
( ~ m1_subset_1(X2,X0)
| ~ v1_binop_1(X1,X0)
| ( r1_binop_1(X0,X2,X1)
<=> r2_binop_1(X0,X2,X1) ) ) ),
inference(flattening,[],[f8999]) ).
fof(f9001,plain,
! [X0,X1] :
( ~ m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| ! [X2] :
( ~ m1_subset_1(X2,X0)
| ~ v1_binop_1(X1,X0)
| ( r3_binop_1(X0,X2,X1)
<=> r2_binop_1(X0,X2,X1) ) ) ),
inference(ennf_transformation,[],[f2061]) ).
fof(f9002,plain,
! [X0,X1] :
( ~ m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| ! [X2] :
( ~ m1_subset_1(X2,X0)
| ~ v1_binop_1(X1,X0)
| ( r3_binop_1(X0,X2,X1)
<=> r2_binop_1(X0,X2,X1) ) ) ),
inference(flattening,[],[f9001]) ).
fof(f9003,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,X0)
| ! [X2] :
( ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ( r3_binop_1(X0,X1,X2)
<=> ( r2_binop_1(X0,X1,X2)
& r1_binop_1(X0,X1,X2) ) ) ) ),
inference(ennf_transformation,[],[f2048]) ).
fof(f9004,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,X0)
| ! [X2] :
( ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ( r3_binop_1(X0,X1,X2)
<=> ( r2_binop_1(X0,X1,X2)
& r1_binop_1(X0,X1,X2) ) ) ) ),
inference(flattening,[],[f9003]) ).
fof(f9005,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,X0)
| ! [X2] :
( ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ( r2_binop_1(X0,X1,X2)
<=> ! [X3] :
( ~ m1_subset_1(X3,X0)
| k1_binop_1(X2,X3,X1) = X3 ) ) ) ),
inference(ennf_transformation,[],[f2047]) ).
fof(f9006,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,X0)
| ! [X2] :
( ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ( r2_binop_1(X0,X1,X2)
<=> ! [X3] :
( ~ m1_subset_1(X3,X0)
| k1_binop_1(X2,X3,X1) = X3 ) ) ) ),
inference(flattening,[],[f9005]) ).
fof(f9007,plain,
! [X0] :
( v1_xboole_0(X0)
| ! [X1] :
( v1_xboole_0(X1)
| ! [X2] :
( ~ m1_subset_1(X2,X0)
| ! [X3] :
( ~ m1_subset_1(X3,X1)
| ! [X4] :
( ~ m2_relset_1(X4,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X4,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X4)
| ! [X5] :
( ~ m2_relset_1(X5,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X5,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X5)
| ( ( r1_binop_1(X1,X3,X5)
& r1_binop_1(X0,X2,X4) )
<=> r1_binop_1(k2_zfmisc_1(X0,X1),k1_domain_1(X0,X1,X2,X3),k7_filter_1(X0,X1,X4,X5)) ) ) ) ) ) ) ),
inference(ennf_transformation,[],[f5748]) ).
fof(f9008,plain,
! [X0] :
( v1_xboole_0(X0)
| ! [X1] :
( v1_xboole_0(X1)
| ! [X2] :
( ~ m1_subset_1(X2,X0)
| ! [X3] :
( ~ m1_subset_1(X3,X1)
| ! [X4] :
( ~ m2_relset_1(X4,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X4,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X4)
| ! [X5] :
( ~ m2_relset_1(X5,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X5,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X5)
| ( ( r1_binop_1(X1,X3,X5)
& r1_binop_1(X0,X2,X4) )
<=> r1_binop_1(k2_zfmisc_1(X0,X1),k1_domain_1(X0,X1,X2,X3),k7_filter_1(X0,X1,X4,X5)) ) ) ) ) ) ) ),
inference(flattening,[],[f9007]) ).
fof(f9009,plain,
! [X0] :
( v1_xboole_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,X0)
| ! [X2] :
( ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ( r1_binop_1(X0,X1,X2)
<=> ! [X3] :
( ~ m1_subset_1(X3,X0)
| k2_binop_1(X0,X0,X0,X2,X1,X3) = X3 ) ) ) ) ),
inference(ennf_transformation,[],[f2083]) ).
fof(f9010,plain,
! [X0] :
( v1_xboole_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,X0)
| ! [X2] :
( ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ( r1_binop_1(X0,X1,X2)
<=> ! [X3] :
( ~ m1_subset_1(X3,X0)
| k2_binop_1(X0,X0,X0,X2,X1,X3) = X3 ) ) ) ) ),
inference(flattening,[],[f9009]) ).
fof(f9011,plain,
! [X0,X1] :
( ~ m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| ! [X2] :
( ~ m1_subset_1(X2,X0)
| ~ v1_binop_1(X1,X0)
| ( r3_binop_1(X0,X2,X1)
<=> r1_binop_1(X0,X2,X1) ) ) ),
inference(ennf_transformation,[],[f2060]) ).
fof(f9012,plain,
! [X0,X1] :
( ~ m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| ! [X2] :
( ~ m1_subset_1(X2,X0)
| ~ v1_binop_1(X1,X0)
| ( r3_binop_1(X0,X2,X1)
<=> r1_binop_1(X0,X2,X1) ) ) ),
inference(flattening,[],[f9011]) ).
fof(f9013,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,X0)
| ! [X2] :
( ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ( r1_binop_1(X0,X1,X2)
<=> ! [X3] :
( ~ m1_subset_1(X3,X0)
| k1_binop_1(X2,X1,X3) = X3 ) ) ) ),
inference(ennf_transformation,[],[f2046]) ).
fof(f9014,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,X0)
| ! [X2] :
( ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ( r1_binop_1(X0,X1,X2)
<=> ! [X3] :
( ~ m1_subset_1(X3,X0)
| k1_binop_1(X2,X1,X3) = X3 ) ) ) ),
inference(flattening,[],[f9013]) ).
fof(f9015,plain,
! [X0] :
( ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ( m2_relset_1(k6_partfun1(u1_struct_0(X0)),u1_struct_0(X0),u1_struct_0(X0))
& v1_group_6(k6_partfun1(u1_struct_0(X0)),X0,X0)
& v1_funct_2(k6_partfun1(u1_struct_0(X0)),u1_struct_0(X0),u1_struct_0(X0))
& v1_funct_1(k6_partfun1(u1_struct_0(X0))) ) ),
inference(ennf_transformation,[],[f6222]) ).
fof(f9016,plain,
! [X0] :
( ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ( m2_relset_1(k6_partfun1(u1_struct_0(X0)),u1_struct_0(X0),u1_struct_0(X0))
& v1_group_6(k6_partfun1(u1_struct_0(X0)),X0,X0)
& v1_funct_2(k6_partfun1(u1_struct_0(X0)),u1_struct_0(X0),u1_struct_0(X0))
& v1_funct_1(k6_partfun1(u1_struct_0(X0))) ) ),
inference(flattening,[],[f9015]) ).
fof(f9017,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| k3_funct_2(X0,X0,k6_partfun1(X0),X1) = X1 ),
inference(ennf_transformation,[],[f5831]) ).
fof(f9020,plain,
! [X0,X1,X2] :
( ~ m2_relset_1(X2,X0,X1)
| ~ v1_funct_2(X2,X0,X1)
| ~ v1_funct_1(X2)
| ~ v2_funct_1(X2)
| k2_relat_1(X2) != X1
| ( k5_relat_1(k2_funct_1(X2),X2) = k6_partfun1(X1)
& k5_relat_1(X2,k2_funct_1(X2)) = k6_partfun1(X0) )
| X1 = k1_xboole_0 ),
inference(ennf_transformation,[],[f1736]) ).
fof(f9021,plain,
! [X0,X1,X2] :
( ~ m2_relset_1(X2,X0,X1)
| ~ v1_funct_2(X2,X0,X1)
| ~ v1_funct_1(X2)
| ~ v2_funct_1(X2)
| k2_relat_1(X2) != X1
| ( k5_relat_1(k2_funct_1(X2),X2) = k6_partfun1(X1)
& k5_relat_1(X2,k2_funct_1(X2)) = k6_partfun1(X0) )
| X1 = k1_xboole_0 ),
inference(flattening,[],[f9020]) ).
fof(f9022,plain,
! [X0] :
? [X1] :
( v3_ordinal1(X1)
& ~ r2_hidden(X1,X0) ),
inference(ennf_transformation,[],[f1226]) ).
fof(f9023,plain,
! [X0] :
? [X1] :
( r2_hidden(X1,X0)
<~> v3_ordinal1(X1) ),
inference(ennf_transformation,[],[f1225]) ).
fof(f9024,plain,
! [X0] :
( ? [X2] :
( v3_ordinal1(X2)
& r1_tarski(X0,X2) )
| ? [X1] :
( r2_hidden(X1,X0)
& ~ v3_ordinal1(X1) ) ),
inference(ennf_transformation,[],[f6496]) ).
fof(f9025,plain,
! [X0] :
( ? [X1] :
( r2_hidden(X1,X0)
& ( ~ r1_tarski(X1,X0)
| ~ v3_ordinal1(X1) ) )
| v3_ordinal1(X0) ),
inference(ennf_transformation,[],[f1219]) ).
fof(f9026,plain,
! [X0] :
( ~ v3_ordinal1(X0)
| ! [X1] :
( ~ v3_ordinal1(X1)
| r2_hidden(X1,X0)
| X0 = X1
| r2_hidden(X0,X1) ) ),
inference(ennf_transformation,[],[f1212]) ).
fof(f9027,plain,
! [X0] :
( ~ v3_ordinal1(X0)
| ! [X1] :
( ~ v3_ordinal1(X1)
| r2_hidden(X1,X0)
| X0 = X1
| r2_hidden(X0,X1) ) ),
inference(flattening,[],[f9026]) ).
fof(f9028,plain,
! [X0,X1] :
( ~ v3_ordinal1(X1)
| ~ r2_hidden(X0,X1)
| v3_ordinal1(X0) ),
inference(ennf_transformation,[],[f1211]) ).
fof(f9029,plain,
! [X0,X1] :
( ~ v3_ordinal1(X1)
| ~ r2_hidden(X0,X1)
| v3_ordinal1(X0) ),
inference(flattening,[],[f9028]) ).
fof(f9030,plain,
! [X0] :
( ~ v3_ordinal1(X0)
| k4_xboole_0(k1_ordinal1(X0),k1_tarski(X0)) = X0 ),
inference(ennf_transformation,[],[f4115]) ).
fof(f9031,plain,
! [X0] :
( ~ v3_ordinal1(X0)
| r1_tarski(k1_ordinal1(X0),k1_zfmisc_1(X0)) ),
inference(ennf_transformation,[],[f2198]) ).
fof(f9032,plain,
! [X0] :
( ~ v3_ordinal1(X0)
| ( ( ~ v4_ordinal1(X0)
| ! [X2] :
( k1_ordinal1(X2) != X0
| ~ v3_ordinal1(X2) ) )
& ( ? [X1] :
( v3_ordinal1(X1)
& k1_ordinal1(X1) = X0 )
| v4_ordinal1(X0) ) ) ),
inference(ennf_transformation,[],[f6497]) ).
fof(f9033,plain,
! [X0] :
( ~ v3_ordinal1(X0)
| ( v4_ordinal1(X0)
<=> ! [X1] :
( ~ v3_ordinal1(X1)
| ~ r2_hidden(X1,X0)
| r2_hidden(k1_ordinal1(X1),X0) ) ) ),
inference(ennf_transformation,[],[f1231]) ).
fof(f9034,plain,
! [X0] :
( ~ v3_ordinal1(X0)
| ( v4_ordinal1(X0)
<=> ! [X1] :
( ~ v3_ordinal1(X1)
| ~ r2_hidden(X1,X0)
| r2_hidden(k1_ordinal1(X1),X0) ) ) ),
inference(flattening,[],[f9033]) ).
fof(f9035,plain,
! [X0] :
( ~ v3_ordinal1(X0)
| v3_ordinal1(k1_ordinal1(X0)) ),
inference(ennf_transformation,[],[f1217]) ).
fof(f9036,plain,
! [X0,X1] :
( k1_ordinal1(X0) != k1_ordinal1(X1)
| X0 = X1 ),
inference(ennf_transformation,[],[f1197]) ).
fof(f9053,plain,
! [X0] :
( ~ v1_int_1(X0)
| ! [X1] :
( ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| v3_struct_0(X1)
| ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X1))
| ( k6_group_1(X1,k2_xcmplx_0(X0,np__1),X2) = k1_group_1(X1,X2,k6_group_1(X1,X0,X2))
& k6_group_1(X1,k2_xcmplx_0(X0,np__1),X2) = k1_group_1(X1,k6_group_1(X1,X0,X2),X2) ) ) ) ),
inference(ennf_transformation,[],[f5070]) ).
fof(f9054,plain,
! [X0] :
( ~ v1_int_1(X0)
| ! [X1] :
( ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| v3_struct_0(X1)
| ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X1))
| ( k6_group_1(X1,k2_xcmplx_0(X0,np__1),X2) = k1_group_1(X1,X2,k6_group_1(X1,X0,X2))
& k6_group_1(X1,k2_xcmplx_0(X0,np__1),X2) = k1_group_1(X1,k6_group_1(X1,X0,X2),X2) ) ) ) ),
inference(flattening,[],[f9053]) ).
fof(f9055,plain,
! [X0] :
( ~ m2_subset_1(X0,k1_numbers,k5_numbers)
| ! [X1] :
( ~ v1_int_1(X1)
| ! [X2] :
( ~ l1_group_1(X2)
| ~ v4_group_1(X2)
| ~ v3_group_1(X2)
| v3_struct_0(X2)
| ! [X3] :
( ~ m1_subset_1(X3,u1_struct_0(X2))
| k6_group_1(X2,k2_xcmplx_0(X1,X0),X3) = k1_group_1(X2,k6_group_1(X2,X1,X3),k6_group_1(X2,X0,X3)) ) ) ) ),
inference(ennf_transformation,[],[f5069]) ).
fof(f9056,plain,
! [X0] :
( ~ m2_subset_1(X0,k1_numbers,k5_numbers)
| ! [X1] :
( ~ v1_int_1(X1)
| ! [X2] :
( ~ l1_group_1(X2)
| ~ v4_group_1(X2)
| ~ v3_group_1(X2)
| v3_struct_0(X2)
| ! [X3] :
( ~ m1_subset_1(X3,u1_struct_0(X2))
| k6_group_1(X2,k2_xcmplx_0(X1,X0),X3) = k1_group_1(X2,k6_group_1(X2,X1,X3),k6_group_1(X2,X0,X3)) ) ) ) ),
inference(flattening,[],[f9055]) ).
fof(f9057,plain,
! [X0] :
( ~ m2_subset_1(X0,k1_numbers,k5_numbers)
| ! [X1] :
( ~ v1_int_1(X1)
| ! [X2] :
( ~ l1_group_1(X2)
| ~ v4_group_1(X2)
| ~ v3_group_1(X2)
| v3_struct_0(X2)
| ! [X3] :
( ~ m1_subset_1(X3,u1_struct_0(X2))
| k6_group_1(X2,k2_xcmplx_0(X0,X1),X3) = k1_group_1(X2,k6_group_1(X2,X0,X3),k6_group_1(X2,X1,X3)) ) ) ) ),
inference(ennf_transformation,[],[f5068]) ).
fof(f9058,plain,
! [X0] :
( ~ m2_subset_1(X0,k1_numbers,k5_numbers)
| ! [X1] :
( ~ v1_int_1(X1)
| ! [X2] :
( ~ l1_group_1(X2)
| ~ v4_group_1(X2)
| ~ v3_group_1(X2)
| v3_struct_0(X2)
| ! [X3] :
( ~ m1_subset_1(X3,u1_struct_0(X2))
| k6_group_1(X2,k2_xcmplx_0(X0,X1),X3) = k1_group_1(X2,k6_group_1(X2,X0,X3),k6_group_1(X2,X1,X3)) ) ) ) ),
inference(flattening,[],[f9057]) ).
fof(f9059,plain,
! [X0] :
( ~ v1_int_1(X0)
| ! [X1] :
( ~ v1_int_1(X1)
| ! [X2] :
( ~ l1_group_1(X2)
| ~ v4_group_1(X2)
| ~ v3_group_1(X2)
| v3_struct_0(X2)
| ! [X3] :
( ~ m1_subset_1(X3,u1_struct_0(X2))
| k6_group_1(X2,k2_xcmplx_0(X0,X1),X3) = k1_group_1(X2,k6_group_1(X2,X0,X3),k6_group_1(X2,X1,X3)) ) ) ) ),
inference(ennf_transformation,[],[f5067]) ).
fof(f9060,plain,
! [X0] :
( ~ v1_int_1(X0)
| ! [X1] :
( ~ v1_int_1(X1)
| ! [X2] :
( ~ l1_group_1(X2)
| ~ v4_group_1(X2)
| ~ v3_group_1(X2)
| v3_struct_0(X2)
| ! [X3] :
( ~ m1_subset_1(X3,u1_struct_0(X2))
| k6_group_1(X2,k2_xcmplx_0(X0,X1),X3) = k1_group_1(X2,k6_group_1(X2,X0,X3),k6_group_1(X2,X1,X3)) ) ) ) ),
inference(flattening,[],[f9059]) ).
fof(f9061,plain,
! [X0] :
( ~ v1_xreal_0(X0)
| ! [X1] :
( ~ v1_int_1(X1)
| ! [X2] :
( ~ v1_int_1(X2)
| ~ r1_xreal_0(X0,X2)
| ~ r1_xreal_0(X0,X1)
| X1 = X2
| r1_xreal_0(k2_xcmplx_0(X0,np__1),X2)
| r1_xreal_0(k2_xcmplx_0(X0,np__1),X1) ) ) ),
inference(ennf_transformation,[],[f2788]) ).
fof(f9062,plain,
! [X0] :
( ~ v1_xreal_0(X0)
| ! [X1] :
( ~ v1_int_1(X1)
| ! [X2] :
( ~ v1_int_1(X2)
| ~ r1_xreal_0(X0,X2)
| ~ r1_xreal_0(X0,X1)
| X1 = X2
| r1_xreal_0(k2_xcmplx_0(X0,np__1),X2)
| r1_xreal_0(k2_xcmplx_0(X0,np__1),X1) ) ) ),
inference(flattening,[],[f9061]) ).
fof(f9063,plain,
! [X0] :
( ~ v1_int_1(X0)
| ! [X1] :
( ~ v1_int_1(X1)
| r1_xreal_0(X1,X0)
| r1_xreal_0(k2_xcmplx_0(X0,np__1),X1) ) ),
inference(ennf_transformation,[],[f2762]) ).
fof(f9064,plain,
! [X0] :
( ~ v1_int_1(X0)
| ! [X1] :
( ~ v1_int_1(X1)
| r1_xreal_0(X1,X0)
| r1_xreal_0(k2_xcmplx_0(X0,np__1),X1) ) ),
inference(flattening,[],[f9063]) ).
fof(f9065,plain,
! [X0] :
( ~ m2_subset_1(X0,k1_numbers,k5_numbers)
| ! [X1] :
( ~ v1_int_1(X1)
| ! [X2] :
( ~ v1_int_1(X2)
| k2_xcmplx_0(X1,X0) != X2
| r1_xreal_0(X1,X2) ) ) ),
inference(ennf_transformation,[],[f2761]) ).
fof(f9066,plain,
! [X0] :
( ~ m2_subset_1(X0,k1_numbers,k5_numbers)
| ! [X1] :
( ~ v1_int_1(X1)
| ! [X2] :
( ~ v1_int_1(X2)
| k2_xcmplx_0(X1,X0) != X2
| r1_xreal_0(X1,X2) ) ) ),
inference(flattening,[],[f9065]) ).
fof(f9067,plain,
! [X0] :
( ~ v1_xreal_0(X0)
| ~ v1_int_1(X0)
| ( v1_int_1(k6_xcmplx_0(X0,np__1))
& v1_int_1(k2_xcmplx_0(X0,np__1)) ) ),
inference(ennf_transformation,[],[f2759]) ).
fof(f9068,plain,
! [X0] :
( ~ v1_xreal_0(X0)
| ~ v1_int_1(X0)
| ( v1_int_1(k6_xcmplx_0(X0,np__1))
& v1_int_1(k2_xcmplx_0(X0,np__1)) ) ),
inference(flattening,[],[f9067]) ).
fof(f9069,plain,
! [X0,X1] :
( ~ v1_int_1(X1)
| ~ m1_subset_1(X0,k5_numbers)
| ( v1_int_1(k2_xcmplx_0(X1,X0))
& v1_xreal_0(k2_xcmplx_0(X1,X0))
& v1_xcmplx_0(k2_xcmplx_0(X1,X0)) ) ),
inference(ennf_transformation,[],[f2736]) ).
fof(f9070,plain,
! [X0,X1] :
( ~ v1_int_1(X1)
| ~ m1_subset_1(X0,k5_numbers)
| ( v1_int_1(k2_xcmplx_0(X1,X0))
& v1_xreal_0(k2_xcmplx_0(X1,X0))
& v1_xcmplx_0(k2_xcmplx_0(X1,X0)) ) ),
inference(flattening,[],[f9069]) ).
fof(f9071,plain,
! [X0,X1] :
( ~ v1_int_1(X1)
| ~ v1_int_1(X0)
| ( v1_int_1(k2_xcmplx_0(X0,X1))
& v1_xreal_0(k2_xcmplx_0(X0,X1))
& v1_xcmplx_0(k2_xcmplx_0(X0,X1)) ) ),
inference(ennf_transformation,[],[f2731]) ).
fof(f9072,plain,
! [X0,X1] :
( ~ v1_int_1(X1)
| ~ v1_int_1(X0)
| ( v1_int_1(k2_xcmplx_0(X0,X1))
& v1_xreal_0(k2_xcmplx_0(X0,X1))
& v1_xcmplx_0(k2_xcmplx_0(X0,X1)) ) ),
inference(flattening,[],[f9071]) ).
fof(f9085,plain,
! [X0,X1] :
( ~ v1_xreal_0(X1)
| ~ v1_xreal_0(X0)
| ( v1_xreal_0(k2_xcmplx_0(X0,X1))
& v1_xcmplx_0(k2_xcmplx_0(X0,X1)) ) ),
inference(ennf_transformation,[],[f2682]) ).
fof(f9086,plain,
! [X0,X1] :
( ~ v1_xreal_0(X1)
| ~ v1_xreal_0(X0)
| ( v1_xreal_0(k2_xcmplx_0(X0,X1))
& v1_xcmplx_0(k2_xcmplx_0(X0,X1)) ) ),
inference(flattening,[],[f9085]) ).
fof(f9087,plain,
! [X0] :
( ~ l1_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m2_finseq_1(X1,u1_struct_0(X0))
| np__1 != k3_finseq_1(X1)
| k9_rlvect_1(X0,X1) = k1_funct_1(X1,np__1) ) ),
inference(ennf_transformation,[],[f4959]) ).
fof(f9088,plain,
! [X0] :
( ~ l1_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m2_finseq_1(X1,u1_struct_0(X0))
| np__1 != k3_finseq_1(X1)
| k9_rlvect_1(X0,X1) = k1_funct_1(X1,np__1) ) ),
inference(flattening,[],[f9087]) ).
fof(f9089,plain,
! [X0] :
( ~ l1_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m2_finseq_1(X1,u1_struct_0(X0))
| np__0 != k3_finseq_1(X1)
| k9_rlvect_1(X0,X1) = k1_rlvect_1(X0) ) ),
inference(ennf_transformation,[],[f4958]) ).
fof(f9090,plain,
! [X0] :
( ~ l1_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m2_finseq_1(X1,u1_struct_0(X0))
| np__0 != k3_finseq_1(X1)
| k9_rlvect_1(X0,X1) = k1_rlvect_1(X0) ) ),
inference(flattening,[],[f9089]) ).
fof(f9091,plain,
! [X0,X1] :
( ~ v4_finsub_1(X1)
| ( X1 = k5_finsub_1(X0)
<=> ! [X2] :
( r2_hidden(X2,X1)
<=> ( v1_finset_1(X2)
& r1_tarski(X2,X0) ) ) ) ),
inference(ennf_transformation,[],[f2402]) ).
fof(f9092,plain,
! [X0] :
( ~ v4_finsub_1(X0)
| v1_xboole_0(X0)
| ! [X1] :
( ~ v4_finsub_1(X1)
| v1_xboole_0(X1)
| ( v4_finsub_1(k3_xboole_0(X0,X1))
& ~ v1_xboole_0(k3_xboole_0(X0,X1)) ) ) ),
inference(ennf_transformation,[],[f2401]) ).
fof(f9093,plain,
! [X0] :
( ~ v4_finsub_1(X0)
| v1_xboole_0(X0)
| ! [X1] :
( ~ v4_finsub_1(X1)
| v1_xboole_0(X1)
| ( v4_finsub_1(k3_xboole_0(X0,X1))
& ~ v1_xboole_0(k3_xboole_0(X0,X1)) ) ) ),
inference(flattening,[],[f9092]) ).
fof(f9094,plain,
! [X0] :
( ~ v4_finsub_1(X0)
| v1_xboole_0(X0)
| r2_hidden(k1_xboole_0,X0) ),
inference(ennf_transformation,[],[f2398]) ).
fof(f9095,plain,
! [X0] :
( ~ v4_finsub_1(X0)
| v1_xboole_0(X0)
| r2_hidden(k1_xboole_0,X0) ),
inference(flattening,[],[f9094]) ).
fof(f9096,plain,
! [X0,X1,X2] :
( ~ v4_finsub_1(X2)
| v1_xboole_0(X2)
| ~ m1_subset_1(X1,X2)
| ~ m1_subset_1(X0,X2)
| m1_subset_1(k3_xboole_0(X0,X1),X2) ),
inference(ennf_transformation,[],[f2393]) ).
fof(f9097,plain,
! [X0,X1,X2] :
( ~ v4_finsub_1(X2)
| v1_xboole_0(X2)
| ~ m1_subset_1(X1,X2)
| ~ m1_subset_1(X0,X2)
| m1_subset_1(k3_xboole_0(X0,X1),X2) ),
inference(flattening,[],[f9096]) ).
fof(f9098,plain,
! [X0] :
( v4_finsub_1(X0)
<=> ! [X1,X2] :
( ~ r2_hidden(X2,X0)
| ~ r2_hidden(X1,X0)
| ( r2_hidden(k4_xboole_0(X1,X2),X0)
& r2_hidden(k2_xboole_0(X1,X2),X0) ) ) ),
inference(ennf_transformation,[],[f2390]) ).
fof(f9099,plain,
! [X0] :
( v4_finsub_1(X0)
<=> ! [X1,X2] :
( ~ r2_hidden(X2,X0)
| ~ r2_hidden(X1,X0)
| ( r2_hidden(k4_xboole_0(X1,X2),X0)
& r2_hidden(k2_xboole_0(X1,X2),X0) ) ) ),
inference(flattening,[],[f9098]) ).
fof(f9100,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,X0)
| ! [X2] :
( ~ m1_subset_1(X2,X0)
| ! [X3] :
( ~ m1_subset_1(X3,X0)
| ! [X4] :
( ~ m1_subset_1(X4,X0)
| k1_xboole_0 = X0
| m1_subset_1(k2_enumset1(X1,X2,X3,X4),k1_zfmisc_1(X0)) ) ) ) ),
inference(ennf_transformation,[],[f541]) ).
fof(f9101,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,X0)
| ! [X2] :
( ~ m1_subset_1(X2,X0)
| ! [X3] :
( ~ m1_subset_1(X3,X0)
| ! [X4] :
( ~ m1_subset_1(X4,X0)
| k1_xboole_0 = X0
| m1_subset_1(k2_enumset1(X1,X2,X3,X4),k1_zfmisc_1(X0)) ) ) ) ),
inference(flattening,[],[f9100]) ).
fof(f9102,plain,
! [X0,X1,X2,X3,X4] :
( X4 = k2_enumset1(X0,X1,X2,X3)
<=> ! [X5] :
( r2_hidden(X5,X4)
<=> ( X3 = X5
| X2 = X5
| X1 = X5
| X0 = X5 ) ) ),
inference(ennf_transformation,[],[f185]) ).
fof(f9103,plain,
! [X0] :
( ~ v1_membered(X0)
| r1_tarski(X0,k2_numbers) ),
inference(ennf_transformation,[],[f3064]) ).
fof(f9104,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(k2_numbers))
| v1_membered(X0) ),
inference(ennf_transformation,[],[f2997]) ).
fof(f9105,plain,
! [X0,X1] :
( ~ v1_finset_1(X1)
| ( k1_card_1(k2_zfmisc_1(X0,X1)) = k1_card_1(X0)
& r2_wellord2(k2_zfmisc_1(X0,X1),X0) )
| X1 = k1_xboole_0
| v1_finset_1(X0) ),
inference(ennf_transformation,[],[f4192]) ).
fof(f9106,plain,
! [X0,X1] :
( ~ v1_finset_1(X1)
| ( k1_card_1(k2_zfmisc_1(X0,X1)) = k1_card_1(X0)
& r2_wellord2(k2_zfmisc_1(X0,X1),X0) )
| X1 = k1_xboole_0
| v1_finset_1(X0) ),
inference(flattening,[],[f9105]) ).
fof(f9107,plain,
! [X0] :
( v1_finset_1(X0)
| ( k1_card_1(k2_zfmisc_1(X0,X0)) = k1_card_1(X0)
& r2_wellord2(k2_zfmisc_1(X0,X0),X0) ) ),
inference(ennf_transformation,[],[f4191]) ).
fof(f9108,plain,
! [X0,X1] :
( ( k1_card_1(k2_xboole_0(X0,X1)) = k1_card_1(X0)
& r2_wellord2(k2_xboole_0(X0,X1),X0) )
| ( ~ r1_tarski(k1_card_1(X1),k1_card_1(X0))
& ~ r2_hidden(k1_card_1(X1),k1_card_1(X0)) )
| v1_finset_1(X0) ),
inference(ennf_transformation,[],[f4147]) ).
fof(f9109,plain,
! [X0,X1] :
( ~ v1_finset_1(X1)
| ( k1_card_1(k2_xboole_0(X0,X1)) = k1_card_1(X0)
& r2_wellord2(k2_xboole_0(X0,X1),X0) )
| v1_finset_1(X0) ),
inference(ennf_transformation,[],[f4146]) ).
fof(f9110,plain,
! [X0,X1] :
( ~ v1_finset_1(X1)
| ( k1_card_1(k2_xboole_0(X0,X1)) = k1_card_1(X0)
& r2_wellord2(k2_xboole_0(X0,X1),X0) )
| v1_finset_1(X0) ),
inference(flattening,[],[f9109]) ).
fof(f9111,plain,
! [X0,X1] :
( ( k1_card_1(k2_xboole_0(X0,X1)) = k1_card_1(X0)
& r2_wellord2(k2_xboole_0(X0,X1),X0) )
| ( ~ r2_wellord2(X1,X0)
& ~ r2_wellord2(X0,X1) )
| v1_finset_1(X0) ),
inference(ennf_transformation,[],[f4145]) ).
fof(f9112,plain,
! [X0] :
( ~ m2_subset_1(X0,k1_numbers,k5_numbers)
| ! [X1] :
( ~ v3_ordinal1(X1)
| ~ r2_wellord2(X1,X0)
| X1 = X0 ) ),
inference(ennf_transformation,[],[f4116]) ).
fof(f9113,plain,
! [X0] :
( ~ m2_subset_1(X0,k1_numbers,k5_numbers)
| ! [X1] :
( ~ v3_ordinal1(X1)
| ~ r2_wellord2(X1,X0)
| X1 = X0 ) ),
inference(flattening,[],[f9112]) ).
fof(f9114,plain,
! [X0,X1,X2] :
( X0 = X1
| ( k1_card_1(k1_funct_2(k2_tarski(X0,X1),X2)) = k1_card_1(k2_zfmisc_1(X2,X2))
& r2_wellord2(k1_funct_2(k2_tarski(X0,X1),X2),k2_zfmisc_1(X2,X2)) ) ),
inference(ennf_transformation,[],[f3546]) ).
fof(f9115,plain,
! [X0,X1,X2] :
( X0 = X1
| ( k1_card_1(k1_funct_2(X2,k2_tarski(X0,X1))) = k1_card_1(k1_zfmisc_1(X2))
& r2_wellord2(k1_funct_2(X2,k2_tarski(X0,X1)),k1_zfmisc_1(X2)) ) ),
inference(ennf_transformation,[],[f3545]) ).
fof(f9116,plain,
! [X0,X1,X2] :
( ~ r1_xboole_0(X0,X1)
| ( k1_card_1(k1_funct_2(k2_xboole_0(X0,X1),X2)) = k1_card_1(k2_zfmisc_1(k1_funct_2(X0,X2),k1_funct_2(X1,X2)))
& r2_wellord2(k1_funct_2(k2_xboole_0(X0,X1),X2),k2_zfmisc_1(k1_funct_2(X0,X2),k1_funct_2(X1,X2))) ) ),
inference(ennf_transformation,[],[f3542]) ).
fof(f9117,plain,
! [X0,X1,X2,X3] :
( ~ r2_wellord2(X2,X3)
| ~ r2_wellord2(X0,X1)
| ( k1_card_1(k1_funct_2(X0,X2)) = k1_card_1(k1_funct_2(X1,X3))
& r2_wellord2(k1_funct_2(X0,X2),k1_funct_2(X1,X3)) ) ),
inference(ennf_transformation,[],[f3540]) ).
fof(f9118,plain,
! [X0,X1,X2,X3] :
( ~ r2_wellord2(X2,X3)
| ~ r2_wellord2(X0,X1)
| ( k1_card_1(k1_funct_2(X0,X2)) = k1_card_1(k1_funct_2(X1,X3))
& r2_wellord2(k1_funct_2(X0,X2),k1_funct_2(X1,X3)) ) ),
inference(flattening,[],[f9117]) ).
fof(f9119,plain,
! [X0] :
( ? [X1] :
( m2_subset_1(X1,k1_numbers,k5_numbers)
& r2_wellord2(X0,X1) )
| ~ v1_finset_1(X0) ),
inference(ennf_transformation,[],[f3202]) ).
fof(f9120,plain,
! [X0,X1] :
( ~ v1_finset_1(X0)
| ~ r2_wellord2(X0,X1)
| v1_finset_1(X1) ),
inference(ennf_transformation,[],[f3196]) ).
fof(f9121,plain,
! [X0,X1] :
( ~ v1_finset_1(X0)
| ~ r2_wellord2(X0,X1)
| v1_finset_1(X1) ),
inference(flattening,[],[f9120]) ).
fof(f9122,plain,
! [X0] :
( ~ m2_subset_1(X0,k1_numbers,k5_numbers)
| ! [X1] :
( ~ m2_subset_1(X1,k1_numbers,k5_numbers)
| ~ r2_wellord2(X0,X1)
| X0 = X1 ) ),
inference(ennf_transformation,[],[f3192]) ).
fof(f9123,plain,
! [X0] :
( ~ m2_subset_1(X0,k1_numbers,k5_numbers)
| ! [X1] :
( ~ m2_subset_1(X1,k1_numbers,k5_numbers)
| ~ r2_wellord2(X0,X1)
| X0 = X1 ) ),
inference(flattening,[],[f9122]) ).
fof(f9124,plain,
! [X0,X1,X2,X3] :
( ~ r2_hidden(X3,X1)
| ~ r2_hidden(X2,X0)
| ~ r2_wellord2(X0,X1)
| r2_wellord2(k4_xboole_0(X0,k1_tarski(X2)),k4_xboole_0(X1,k1_tarski(X3))) ),
inference(ennf_transformation,[],[f3189]) ).
fof(f9125,plain,
! [X0,X1,X2,X3] :
( ~ r2_hidden(X3,X1)
| ~ r2_hidden(X2,X0)
| ~ r2_wellord2(X0,X1)
| r2_wellord2(k4_xboole_0(X0,k1_tarski(X2)),k4_xboole_0(X1,k1_tarski(X3))) ),
inference(flattening,[],[f9124]) ).
fof(f9126,plain,
! [X0,X1] :
( ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ~ v2_funct_1(X1)
| ~ r1_tarski(X0,k1_relat_1(X1))
| r2_wellord2(X0,k9_relat_1(X1,X0)) ),
inference(ennf_transformation,[],[f3188]) ).
fof(f9127,plain,
! [X0,X1] :
( ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ~ v2_funct_1(X1)
| ~ r1_tarski(X0,k1_relat_1(X1))
| r2_wellord2(X0,k9_relat_1(X1,X0)) ),
inference(flattening,[],[f9126]) ).
fof(f9128,plain,
! [X0,X1,X2] :
( ~ r2_hidden(X2,X1)
| ~ r2_hidden(X0,X1)
| r2_wellord2(k4_xboole_0(X1,k1_tarski(X0)),k4_xboole_0(X1,k1_tarski(X2))) ),
inference(ennf_transformation,[],[f3187]) ).
fof(f9129,plain,
! [X0,X1,X2] :
( ~ r2_hidden(X2,X1)
| ~ r2_hidden(X0,X1)
| r2_wellord2(k4_xboole_0(X1,k1_tarski(X0)),k4_xboole_0(X1,k1_tarski(X2))) ),
inference(flattening,[],[f9128]) ).
fof(f9130,plain,
! [X0,X1,X2,X3] :
( ~ r2_wellord2(X1,X3)
| ~ r2_wellord2(X0,X2)
| ~ r1_xboole_0(X2,X3)
| ~ r1_xboole_0(X0,X1)
| r2_wellord2(k2_xboole_0(X0,X1),k2_xboole_0(X2,X3)) ),
inference(ennf_transformation,[],[f3186]) ).
fof(f9131,plain,
! [X0,X1,X2,X3] :
( ~ r2_wellord2(X1,X3)
| ~ r2_wellord2(X0,X2)
| ~ r1_xboole_0(X2,X3)
| ~ r1_xboole_0(X0,X1)
| r2_wellord2(k2_xboole_0(X0,X1),k2_xboole_0(X2,X3)) ),
inference(flattening,[],[f9130]) ).
fof(f9132,plain,
! [X0,X1] :
( ~ r1_tarski(k1_zfmisc_1(X0),X1)
| ( ~ r2_wellord2(X0,X1)
& r2_hidden(k1_card_1(X0),k1_card_1(X1)) ) ),
inference(ennf_transformation,[],[f3173]) ).
fof(f9133,plain,
! [X0,X1,X2] :
( ~ r2_wellord2(X0,X2)
| ~ r1_tarski(X1,X2)
| ~ r1_tarski(X0,X1)
| ( r2_wellord2(X1,X2)
& r2_wellord2(X0,X1) ) ),
inference(ennf_transformation,[],[f3172]) ).
fof(f9134,plain,
! [X0,X1,X2] :
( ~ r2_wellord2(X0,X2)
| ~ r1_tarski(X1,X2)
| ~ r1_tarski(X0,X1)
| ( r2_wellord2(X1,X2)
& r2_wellord2(X0,X1) ) ),
inference(flattening,[],[f9133]) ).
fof(f9135,plain,
! [X0,X1] :
( ~ v1_card_1(X1)
| ( X1 = k1_card_1(X0)
<=> r2_wellord2(X0,X1) ) ),
inference(ennf_transformation,[],[f3139]) ).
fof(f9136,plain,
! [X0] :
( ~ v1_card_1(X0)
| ! [X1] :
( ~ v1_card_1(X1)
| ( X0 = X1
<=> r2_wellord2(X0,X1) ) ) ),
inference(ennf_transformation,[],[f3129]) ).
fof(f9137,plain,
! [X0] :
( ! [X1] :
( ? [X2] :
( v3_ordinal1(X2)
& r2_wellord2(X2,X1) )
| X0 != X1
| ~ v3_ordinal1(X1) )
| v1_card_1(X0) ),
inference(ennf_transformation,[],[f6499]) ).
fof(f9138,plain,
! [X0] :
( ~ m2_subset_1(X0,k1_numbers,k5_numbers)
| ! [X1] :
( ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| v3_struct_0(X1)
| ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X1))
| ( k6_group_1(X1,k1_nat_1(X0,np__1),X2) = k1_group_1(X1,X2,k6_group_1(X1,X0,X2))
& k6_group_1(X1,k1_nat_1(X0,np__1),X2) = k1_group_1(X1,k6_group_1(X1,X0,X2),X2) ) ) ) ),
inference(ennf_transformation,[],[f5053]) ).
fof(f9139,plain,
! [X0] :
( ~ m2_subset_1(X0,k1_numbers,k5_numbers)
| ! [X1] :
( ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| v3_struct_0(X1)
| ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X1))
| ( k6_group_1(X1,k1_nat_1(X0,np__1),X2) = k1_group_1(X1,X2,k6_group_1(X1,X0,X2))
& k6_group_1(X1,k1_nat_1(X0,np__1),X2) = k1_group_1(X1,k6_group_1(X1,X0,X2),X2) ) ) ) ),
inference(flattening,[],[f9138]) ).
fof(f9140,plain,
! [X0] :
( ~ m2_subset_1(X0,k1_numbers,k5_numbers)
| ! [X1] :
( ~ m2_subset_1(X1,k1_numbers,k5_numbers)
| ! [X2] :
( ~ l1_group_1(X2)
| ~ v4_group_1(X2)
| ~ v3_group_1(X2)
| v3_struct_0(X2)
| ! [X3] :
( ~ m1_subset_1(X3,u1_struct_0(X2))
| k6_group_1(X2,k1_nat_1(X0,X1),X3) = k1_group_1(X2,k6_group_1(X2,X0,X3),k6_group_1(X2,X1,X3)) ) ) ) ),
inference(ennf_transformation,[],[f5052]) ).
fof(f9141,plain,
! [X0] :
( ~ m2_subset_1(X0,k1_numbers,k5_numbers)
| ! [X1] :
( ~ m2_subset_1(X1,k1_numbers,k5_numbers)
| ! [X2] :
( ~ l1_group_1(X2)
| ~ v4_group_1(X2)
| ~ v3_group_1(X2)
| v3_struct_0(X2)
| ! [X3] :
( ~ m1_subset_1(X3,u1_struct_0(X2))
| k6_group_1(X2,k1_nat_1(X0,X1),X3) = k1_group_1(X2,k6_group_1(X2,X0,X3),k6_group_1(X2,X1,X3)) ) ) ) ),
inference(flattening,[],[f9140]) ).
fof(f9142,plain,
! [X0] :
( ~ l1_rlvect_1(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m2_finseq_1(X1,u1_struct_0(X0))
| ! [X2] :
( ~ m2_finseq_1(X2,u1_struct_0(X0))
| ! [X3] :
( ~ m1_subset_1(X3,u1_struct_0(X0))
| k1_funct_1(X1,k3_finseq_1(X1)) != X3
| k7_relat_1(X1,k4_finseq_1(X2)) != X2
| k3_finseq_1(X1) != k1_nat_1(k3_finseq_1(X2),np__1)
| k9_rlvect_1(X0,X1) = k2_rlvect_1(X0,k9_rlvect_1(X0,X2),X3) ) ) ) ),
inference(ennf_transformation,[],[f4919]) ).
fof(f9143,plain,
! [X0] :
( ~ l1_rlvect_1(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m2_finseq_1(X1,u1_struct_0(X0))
| ! [X2] :
( ~ m2_finseq_1(X2,u1_struct_0(X0))
| ! [X3] :
( ~ m1_subset_1(X3,u1_struct_0(X0))
| k1_funct_1(X1,k3_finseq_1(X1)) != X3
| k7_relat_1(X1,k4_finseq_1(X2)) != X2
| k3_finseq_1(X1) != k1_nat_1(k3_finseq_1(X2),np__1)
| k9_rlvect_1(X0,X1) = k2_rlvect_1(X0,k9_rlvect_1(X0,X2),X3) ) ) ) ),
inference(flattening,[],[f9142]) ).
fof(f9144,plain,
! [X0] :
( ~ l1_rlvect_1(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m2_finseq_1(X1,u1_struct_0(X0))
| ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| ( X2 = k9_rlvect_1(X0,X1)
<=> ? [X3] :
( ! [X4] :
( ~ m2_subset_1(X4,k1_numbers,k5_numbers)
| ! [X5] :
( ~ m1_subset_1(X5,u1_struct_0(X0))
| k1_funct_1(X1,k1_nat_1(X4,np__1)) != X5
| k8_funct_2(k5_numbers,u1_struct_0(X0),X3,k1_nat_1(X4,np__1)) = k2_rlvect_1(X0,k8_funct_2(k5_numbers,u1_struct_0(X0),X3,X4),X5)
| r1_xreal_0(k3_finseq_1(X1),X4) ) )
& k8_funct_2(k5_numbers,u1_struct_0(X0),X3,np__0) = k1_rlvect_1(X0)
& X2 = k8_funct_2(k5_numbers,u1_struct_0(X0),X3,k3_finseq_1(X1))
& m2_relset_1(X3,k5_numbers,u1_struct_0(X0))
& v1_funct_2(X3,k5_numbers,u1_struct_0(X0))
& v1_funct_1(X3) ) ) ) ) ),
inference(ennf_transformation,[],[f4915]) ).
fof(f9145,plain,
! [X0] :
( ~ l1_rlvect_1(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m2_finseq_1(X1,u1_struct_0(X0))
| ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| ( X2 = k9_rlvect_1(X0,X1)
<=> ? [X3] :
( ! [X4] :
( ~ m2_subset_1(X4,k1_numbers,k5_numbers)
| ! [X5] :
( ~ m1_subset_1(X5,u1_struct_0(X0))
| k1_funct_1(X1,k1_nat_1(X4,np__1)) != X5
| k8_funct_2(k5_numbers,u1_struct_0(X0),X3,k1_nat_1(X4,np__1)) = k2_rlvect_1(X0,k8_funct_2(k5_numbers,u1_struct_0(X0),X3,X4),X5)
| r1_xreal_0(k3_finseq_1(X1),X4) ) )
& k8_funct_2(k5_numbers,u1_struct_0(X0),X3,np__0) = k1_rlvect_1(X0)
& X2 = k8_funct_2(k5_numbers,u1_struct_0(X0),X3,k3_finseq_1(X1))
& m2_relset_1(X3,k5_numbers,u1_struct_0(X0))
& v1_funct_2(X3,k5_numbers,u1_struct_0(X0))
& v1_funct_1(X3) ) ) ) ) ),
inference(flattening,[],[f9144]) ).
fof(f9146,plain,
! [X0] :
( ~ m1_subset_1(X0,k8_qc_lang1)
| ! [X1] :
( ~ m1_subset_1(X1,k8_qc_lang1)
| ( r2_qc_lang2(X0,X1)
<=> ? [X2] :
( ? [X3] :
( ! [X4] :
( ~ m2_subset_1(X4,k1_numbers,k5_numbers)
| ? [X5] :
( m1_subset_1(X5,k8_qc_lang1)
& ? [X6] :
( m1_subset_1(X6,k8_qc_lang1)
& r1_qc_lang2(X5,X6)
& k1_funct_1(X3,k1_nat_1(X4,np__1)) = X6
& k1_funct_1(X3,X4) = X5 ) )
| r1_xreal_0(X2,X4)
| ~ r1_xreal_0(np__1,X4) )
& k1_funct_1(X3,X2) = X1
& k1_funct_1(X3,np__1) = X0
& k3_finseq_1(X3) = X2
& r1_xreal_0(np__1,X2)
& v1_finseq_1(X3)
& v1_funct_1(X3)
& v1_relat_1(X3) )
& m2_subset_1(X2,k1_numbers,k5_numbers) ) ) ) ),
inference(ennf_transformation,[],[f3896]) ).
fof(f9147,plain,
! [X0] :
( ~ m1_subset_1(X0,k8_qc_lang1)
| ! [X1] :
( ~ m1_subset_1(X1,k8_qc_lang1)
| ( r2_qc_lang2(X0,X1)
<=> ? [X2] :
( ? [X3] :
( ! [X4] :
( ~ m2_subset_1(X4,k1_numbers,k5_numbers)
| ? [X5] :
( m1_subset_1(X5,k8_qc_lang1)
& ? [X6] :
( m1_subset_1(X6,k8_qc_lang1)
& r1_qc_lang2(X5,X6)
& k1_funct_1(X3,k1_nat_1(X4,np__1)) = X6
& k1_funct_1(X3,X4) = X5 ) )
| r1_xreal_0(X2,X4)
| ~ r1_xreal_0(np__1,X4) )
& k1_funct_1(X3,X2) = X1
& k1_funct_1(X3,np__1) = X0
& k3_finseq_1(X3) = X2
& r1_xreal_0(np__1,X2)
& v1_finseq_1(X3)
& v1_funct_1(X3)
& v1_relat_1(X3) )
& m2_subset_1(X2,k1_numbers,k5_numbers) ) ) ) ),
inference(flattening,[],[f9146]) ).
fof(f9148,plain,
! [X0] :
( ~ v1_finseq_1(X0)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ! [X1] :
( ~ v1_finseq_1(X1)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ! [X2] :
( ~ m2_subset_1(X2,k1_numbers,k5_numbers)
| ~ r1_xreal_0(X2,k3_finseq_1(X1))
| ~ r1_xreal_0(np__1,X2)
| k1_funct_1(k7_finseq_1(X0,X1),k1_nat_1(k3_finseq_1(X0),X2)) = k1_funct_1(X1,X2) ) ) ),
inference(ennf_transformation,[],[f3352]) ).
fof(f9149,plain,
! [X0] :
( ~ v1_finseq_1(X0)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ! [X1] :
( ~ v1_finseq_1(X1)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ! [X2] :
( ~ m2_subset_1(X2,k1_numbers,k5_numbers)
| ~ r1_xreal_0(X2,k3_finseq_1(X1))
| ~ r1_xreal_0(np__1,X2)
| k1_funct_1(k7_finseq_1(X0,X1),k1_nat_1(k3_finseq_1(X0),X2)) = k1_funct_1(X1,X2) ) ) ),
inference(flattening,[],[f9148]) ).
fof(f9150,plain,
! [X0,X1] :
( ~ v1_finseq_1(X1)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| k1_funct_1(k7_finseq_1(X1,k9_finseq_1(X0)),k1_nat_1(k3_finseq_1(X1),np__1)) = X0 ),
inference(ennf_transformation,[],[f3319]) ).
fof(f9151,plain,
! [X0,X1] :
( ~ v1_finseq_1(X1)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| k1_funct_1(k7_finseq_1(X1,k9_finseq_1(X0)),k1_nat_1(k3_finseq_1(X1),np__1)) = X0 ),
inference(flattening,[],[f9150]) ).
fof(f9152,plain,
! [X0] :
( ~ m2_subset_1(X0,k1_numbers,k5_numbers)
| ! [X1] :
( ~ v1_finseq_1(X1)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ! [X2] :
( ~ v1_finseq_1(X2)
| ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| ~ r2_hidden(X0,k4_finseq_1(X1))
| r2_hidden(k1_nat_1(k3_finseq_1(X2),X0),k4_finseq_1(k7_finseq_1(X2,X1))) ) ) ),
inference(ennf_transformation,[],[f3298]) ).
fof(f9153,plain,
! [X0] :
( ~ m2_subset_1(X0,k1_numbers,k5_numbers)
| ! [X1] :
( ~ v1_finseq_1(X1)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ! [X2] :
( ~ v1_finseq_1(X2)
| ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| ~ r2_hidden(X0,k4_finseq_1(X1))
| r2_hidden(k1_nat_1(k3_finseq_1(X2),X0),k4_finseq_1(k7_finseq_1(X2,X1))) ) ) ),
inference(flattening,[],[f9152]) ).
fof(f9154,plain,
! [X0,X1] :
( ~ v1_finseq_1(X1)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ! [X2] :
( ~ v1_finseq_1(X2)
| ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| ? [X3] :
( m2_subset_1(X3,k1_numbers,k5_numbers)
& r2_hidden(k1_nat_1(k3_finseq_1(X2),X3),k4_finseq_1(k7_finseq_1(X2,X1)))
& X3 = X0 )
| ~ r2_hidden(X0,k4_finseq_1(X1)) ) ),
inference(ennf_transformation,[],[f3297]) ).
fof(f9155,plain,
! [X0,X1] :
( ~ v1_finseq_1(X1)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ! [X2] :
( ~ v1_finseq_1(X2)
| ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| ? [X3] :
( m2_subset_1(X3,k1_numbers,k5_numbers)
& r2_hidden(k1_nat_1(k3_finseq_1(X2),X3),k4_finseq_1(k7_finseq_1(X2,X1)))
& X3 = X0 )
| ~ r2_hidden(X0,k4_finseq_1(X1)) ) ),
inference(flattening,[],[f9154]) ).
fof(f9156,plain,
! [X0] :
( ~ v1_finseq_1(X0)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ! [X1] :
( ~ v1_finseq_1(X1)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ! [X2] :
( ~ m2_subset_1(X2,k1_numbers,k5_numbers)
| ? [X3] :
( m2_subset_1(X3,k1_numbers,k5_numbers)
& X2 = k1_nat_1(k3_finseq_1(X0),X3)
& r2_hidden(X3,k4_finseq_1(X1)) )
| r2_hidden(X2,k4_finseq_1(X0))
| ~ r2_hidden(X2,k4_finseq_1(k7_finseq_1(X0,X1))) ) ) ),
inference(ennf_transformation,[],[f3295]) ).
fof(f9157,plain,
! [X0] :
( ~ v1_finseq_1(X0)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ! [X1] :
( ~ v1_finseq_1(X1)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ! [X2] :
( ~ m2_subset_1(X2,k1_numbers,k5_numbers)
| ? [X3] :
( m2_subset_1(X3,k1_numbers,k5_numbers)
& X2 = k1_nat_1(k3_finseq_1(X0),X3)
& r2_hidden(X3,k4_finseq_1(X1)) )
| r2_hidden(X2,k4_finseq_1(X0))
| ~ r2_hidden(X2,k4_finseq_1(k7_finseq_1(X0,X1))) ) ) ),
inference(flattening,[],[f9156]) ).
fof(f9158,plain,
! [X0] :
( ~ v1_finseq_1(X0)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ! [X1] :
( ~ v1_finseq_1(X1)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ! [X2] :
( ~ v4_ordinal2(X2)
| ~ r1_xreal_0(X2,k1_nat_1(k3_finseq_1(X0),k3_finseq_1(X1)))
| ~ r1_xreal_0(k1_nat_1(k3_finseq_1(X0),np__1),X2)
| k1_funct_1(k7_finseq_1(X0,X1),X2) = k1_funct_1(X1,k6_xcmplx_0(X2,k3_finseq_1(X0))) ) ) ),
inference(ennf_transformation,[],[f3293]) ).
fof(f9159,plain,
! [X0] :
( ~ v1_finseq_1(X0)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ! [X1] :
( ~ v1_finseq_1(X1)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ! [X2] :
( ~ v4_ordinal2(X2)
| ~ r1_xreal_0(X2,k1_nat_1(k3_finseq_1(X0),k3_finseq_1(X1)))
| ~ r1_xreal_0(k1_nat_1(k3_finseq_1(X0),np__1),X2)
| k1_funct_1(k7_finseq_1(X0,X1),X2) = k1_funct_1(X1,k6_xcmplx_0(X2,k3_finseq_1(X0))) ) ) ),
inference(flattening,[],[f9158]) ).
fof(f9160,plain,
! [X0] :
( ~ v1_finseq_1(X0)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ! [X1] :
( ~ v1_finseq_1(X1)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| k3_finseq_1(k7_finseq_1(X0,X1)) = k1_nat_1(k3_finseq_1(X0),k3_finseq_1(X1)) ) ),
inference(ennf_transformation,[],[f3292]) ).
fof(f9161,plain,
! [X0] :
( ~ v1_finseq_1(X0)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ! [X1] :
( ~ v1_finseq_1(X1)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| k3_finseq_1(k7_finseq_1(X0,X1)) = k1_nat_1(k3_finseq_1(X0),k3_finseq_1(X1)) ) ),
inference(flattening,[],[f9160]) ).
fof(f9162,plain,
! [X0] :
( ~ m2_subset_1(X0,k1_numbers,k5_numbers)
| k1_ordinal1(X0) = k1_nat_1(X0,np__1) ),
inference(ennf_transformation,[],[f3180]) ).
fof(f9163,plain,
! [X0,X1] :
( ~ v1_finseq_1(X1)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ~ v1_finseq_1(X0)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ( v1_finseq_1(k7_finseq_1(X0,X1))
& v1_funct_1(k7_finseq_1(X0,X1))
& v1_relat_1(k7_finseq_1(X0,X1)) ) ),
inference(ennf_transformation,[],[f3372]) ).
fof(f9164,plain,
! [X0,X1] :
( ~ v1_finseq_1(X1)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ~ v1_finseq_1(X0)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ( v1_finseq_1(k7_finseq_1(X0,X1))
& v1_funct_1(k7_finseq_1(X0,X1))
& v1_relat_1(k7_finseq_1(X0,X1)) ) ),
inference(flattening,[],[f9163]) ).
fof(f9165,plain,
! [X0] :
( ~ v1_finseq_1(X0)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ! [X1] :
( ~ v1_finseq_1(X1)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ! [X2] :
( ~ m2_subset_1(X2,k1_numbers,k5_numbers)
| ~ r1_xreal_0(X2,k3_finseq_1(X0))
| ~ r1_xreal_0(np__1,X2)
| k1_funct_1(k7_finseq_1(X0,X1),X2) = k1_funct_1(X0,X2) ) ) ),
inference(ennf_transformation,[],[f3351]) ).
fof(f9166,plain,
! [X0] :
( ~ v1_finseq_1(X0)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ! [X1] :
( ~ v1_finseq_1(X1)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ! [X2] :
( ~ m2_subset_1(X2,k1_numbers,k5_numbers)
| ~ r1_xreal_0(X2,k3_finseq_1(X0))
| ~ r1_xreal_0(np__1,X2)
| k1_funct_1(k7_finseq_1(X0,X1),X2) = k1_funct_1(X0,X2) ) ) ),
inference(flattening,[],[f9165]) ).
fof(f9167,plain,
! [X0] :
( ~ v1_finseq_1(X0)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ! [X1] :
( ~ v1_finseq_1(X1)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ! [X2] :
( ~ v1_finseq_1(X2)
| ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| ! [X3] :
( ~ v1_finseq_1(X3)
| ~ v1_funct_1(X3)
| ~ v1_relat_1(X3)
| ? [X4] :
( v1_finseq_1(X4)
& v1_funct_1(X4)
& v1_relat_1(X4)
& k7_finseq_1(X0,X4) = X2 )
| ~ r1_xreal_0(k3_finseq_1(X0),k3_finseq_1(X2))
| k7_finseq_1(X0,X1) != k7_finseq_1(X2,X3) ) ) ) ),
inference(ennf_transformation,[],[f3324]) ).
fof(f9168,plain,
! [X0] :
( ~ v1_finseq_1(X0)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ! [X1] :
( ~ v1_finseq_1(X1)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ! [X2] :
( ~ v1_finseq_1(X2)
| ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| ! [X3] :
( ~ v1_finseq_1(X3)
| ~ v1_funct_1(X3)
| ~ v1_relat_1(X3)
| ? [X4] :
( v1_finseq_1(X4)
& v1_funct_1(X4)
& v1_relat_1(X4)
& k7_finseq_1(X0,X4) = X2 )
| ~ r1_xreal_0(k3_finseq_1(X0),k3_finseq_1(X2))
| k7_finseq_1(X0,X1) != k7_finseq_1(X2,X3) ) ) ) ),
inference(flattening,[],[f9167]) ).
fof(f9169,plain,
! [X0] :
( ~ v1_finseq_1(X0)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ! [X1] :
( ~ v1_finseq_1(X1)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ! [X2] :
( ~ m2_finseq_1(k7_finseq_1(X0,X1),X2)
| ( m2_finseq_1(X1,X2)
& m2_finseq_1(X0,X2) ) ) ) ),
inference(ennf_transformation,[],[f3308]) ).
fof(f9170,plain,
! [X0] :
( ~ v1_finseq_1(X0)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ! [X1] :
( ~ v1_finseq_1(X1)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ! [X2] :
( ~ m2_finseq_1(k7_finseq_1(X0,X1),X2)
| ( m2_finseq_1(X1,X2)
& m2_finseq_1(X0,X2) ) ) ) ),
inference(flattening,[],[f9169]) ).
fof(f9171,plain,
! [X0] :
( ~ v1_finseq_1(X0)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ! [X1] :
( ~ v1_finseq_1(X1)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| k1_xboole_0 != k7_finseq_1(X0,X1)
| ( X1 = k1_xboole_0
& X0 = k1_xboole_0 ) ) ),
inference(ennf_transformation,[],[f3305]) ).
fof(f9172,plain,
! [X0] :
( ~ v1_finseq_1(X0)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ! [X1] :
( ~ v1_finseq_1(X1)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| k1_xboole_0 != k7_finseq_1(X0,X1)
| ( X1 = k1_xboole_0
& X0 = k1_xboole_0 ) ) ),
inference(flattening,[],[f9171]) ).
fof(f9173,plain,
! [X0] :
( ~ v1_finseq_1(X0)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ( k7_finseq_1(k1_xboole_0,X0) = X0
& k7_finseq_1(X0,k1_xboole_0) = X0 ) ),
inference(ennf_transformation,[],[f3304]) ).
fof(f9174,plain,
! [X0] :
( ~ v1_finseq_1(X0)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ( k7_finseq_1(k1_xboole_0,X0) = X0
& k7_finseq_1(X0,k1_xboole_0) = X0 ) ),
inference(flattening,[],[f9173]) ).
fof(f9175,plain,
! [X0] :
( ~ v1_finseq_1(X0)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ! [X1] :
( ~ v1_finseq_1(X1)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ! [X2] :
( ~ v1_finseq_1(X2)
| ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| ( k7_finseq_1(X1,X0) != k7_finseq_1(X1,X2)
& k7_finseq_1(X0,X1) != k7_finseq_1(X2,X1) )
| X0 = X2 ) ) ),
inference(ennf_transformation,[],[f3303]) ).
fof(f9176,plain,
! [X0] :
( ~ v1_finseq_1(X0)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ! [X1] :
( ~ v1_finseq_1(X1)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ! [X2] :
( ~ v1_finseq_1(X2)
| ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| ( k7_finseq_1(X1,X0) != k7_finseq_1(X1,X2)
& k7_finseq_1(X0,X1) != k7_finseq_1(X2,X1) )
| X0 = X2 ) ) ),
inference(flattening,[],[f9175]) ).
fof(f9177,plain,
! [X0] :
( ~ v1_finseq_1(X0)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ! [X1] :
( ~ v1_finseq_1(X1)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ! [X2] :
( ~ v1_finseq_1(X2)
| ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| k7_finseq_1(k7_finseq_1(X0,X1),X2) = k7_finseq_1(X0,k7_finseq_1(X1,X2)) ) ) ),
inference(ennf_transformation,[],[f3302]) ).
fof(f9178,plain,
! [X0] :
( ~ v1_finseq_1(X0)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ! [X1] :
( ~ v1_finseq_1(X1)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ! [X2] :
( ~ v1_finseq_1(X2)
| ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| k7_finseq_1(k7_finseq_1(X0,X1),X2) = k7_finseq_1(X0,k7_finseq_1(X1,X2)) ) ) ),
inference(flattening,[],[f9177]) ).
fof(f9179,plain,
! [X0] :
( ~ v1_finseq_1(X0)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ! [X1] :
( ~ v1_finseq_1(X1)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| k2_relat_1(k7_finseq_1(X0,X1)) = k2_xboole_0(k2_relat_1(X0),k2_relat_1(X1)) ) ),
inference(ennf_transformation,[],[f3301]) ).
fof(f9180,plain,
! [X0] :
( ~ v1_finseq_1(X0)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ! [X1] :
( ~ v1_finseq_1(X1)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| k2_relat_1(k7_finseq_1(X0,X1)) = k2_xboole_0(k2_relat_1(X0),k2_relat_1(X1)) ) ),
inference(flattening,[],[f9179]) ).
fof(f9181,plain,
! [X0] :
( ~ v1_finseq_1(X0)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ! [X1] :
( ~ v1_finseq_1(X1)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| r1_tarski(k2_relat_1(X0),k2_relat_1(k7_finseq_1(X1,X0))) ) ),
inference(ennf_transformation,[],[f3300]) ).
fof(f9182,plain,
! [X0] :
( ~ v1_finseq_1(X0)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ! [X1] :
( ~ v1_finseq_1(X1)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| r1_tarski(k2_relat_1(X0),k2_relat_1(k7_finseq_1(X1,X0))) ) ),
inference(flattening,[],[f9181]) ).
fof(f9183,plain,
! [X0] :
( ~ v1_finseq_1(X0)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ! [X1] :
( ~ v1_finseq_1(X1)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| r1_tarski(k2_relat_1(X0),k2_relat_1(k7_finseq_1(X0,X1))) ) ),
inference(ennf_transformation,[],[f3299]) ).
fof(f9184,plain,
! [X0] :
( ~ v1_finseq_1(X0)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ! [X1] :
( ~ v1_finseq_1(X1)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| r1_tarski(k2_relat_1(X0),k2_relat_1(k7_finseq_1(X0,X1))) ) ),
inference(flattening,[],[f9183]) ).
fof(f9185,plain,
! [X0] :
( ~ v1_finseq_1(X0)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ! [X1] :
( ~ v1_finseq_1(X1)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ! [X2] :
( ~ v4_ordinal2(X2)
| ~ r1_xreal_0(X2,k3_finseq_1(k7_finseq_1(X0,X1)))
| k1_funct_1(k7_finseq_1(X0,X1),X2) = k1_funct_1(X1,k6_xcmplx_0(X2,k3_finseq_1(X0)))
| r1_xreal_0(X2,k3_finseq_1(X0)) ) ) ),
inference(ennf_transformation,[],[f3294]) ).
fof(f9186,plain,
! [X0] :
( ~ v1_finseq_1(X0)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ! [X1] :
( ~ v1_finseq_1(X1)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ! [X2] :
( ~ v4_ordinal2(X2)
| ~ r1_xreal_0(X2,k3_finseq_1(k7_finseq_1(X0,X1)))
| k1_funct_1(k7_finseq_1(X0,X1),X2) = k1_funct_1(X1,k6_xcmplx_0(X2,k3_finseq_1(X0)))
| r1_xreal_0(X2,k3_finseq_1(X0)) ) ) ),
inference(flattening,[],[f9185]) ).
fof(f9187,plain,
! [X0,X1] :
( ~ v1_finseq_1(X1)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| v1_xboole_0(X1)
| ~ v1_finseq_1(X0)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ( v1_finseq_1(k7_finseq_1(X1,X0))
& v1_finset_1(k7_finseq_1(X1,X0))
& v1_funct_1(k7_finseq_1(X1,X0))
& v1_relat_1(k7_finseq_1(X1,X0))
& ~ v1_xboole_0(k7_finseq_1(X1,X0)) ) ),
inference(ennf_transformation,[],[f3247]) ).
fof(f9188,plain,
! [X0,X1] :
( ~ v1_finseq_1(X1)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| v1_xboole_0(X1)
| ~ v1_finseq_1(X0)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ( v1_finseq_1(k7_finseq_1(X1,X0))
& v1_finset_1(k7_finseq_1(X1,X0))
& v1_funct_1(k7_finseq_1(X1,X0))
& v1_relat_1(k7_finseq_1(X1,X0))
& ~ v1_xboole_0(k7_finseq_1(X1,X0)) ) ),
inference(flattening,[],[f9187]) ).
fof(f9189,plain,
! [X0,X1] :
( ~ v1_finseq_1(X1)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| v1_xboole_0(X1)
| ~ v1_finseq_1(X0)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ( v1_finseq_1(k7_finseq_1(X0,X1))
& v1_finset_1(k7_finseq_1(X0,X1))
& v1_funct_1(k7_finseq_1(X0,X1))
& v1_relat_1(k7_finseq_1(X0,X1))
& ~ v1_xboole_0(k7_finseq_1(X0,X1)) ) ),
inference(ennf_transformation,[],[f3246]) ).
fof(f9190,plain,
! [X0,X1] :
( ~ v1_finseq_1(X1)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| v1_xboole_0(X1)
| ~ v1_finseq_1(X0)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ( v1_finseq_1(k7_finseq_1(X0,X1))
& v1_finset_1(k7_finseq_1(X0,X1))
& v1_funct_1(k7_finseq_1(X0,X1))
& v1_relat_1(k7_finseq_1(X0,X1))
& ~ v1_xboole_0(k7_finseq_1(X0,X1)) ) ),
inference(flattening,[],[f9189]) ).
fof(f9191,plain,
! [X0] :
( ~ l1_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m2_finseq_1(X1,u1_struct_0(X0))
| ! [X2] :
( ~ m2_finseq_1(X2,u1_struct_0(X0))
| ? [X3] :
( m2_subset_1(X3,k1_numbers,k5_numbers)
& ? [X4] :
( m1_subset_1(X4,u1_struct_0(X0))
& X4 = k1_funct_1(X2,X3)
& r2_hidden(X3,k4_finseq_1(X1))
& k1_funct_1(X1,X3) != k5_rlvect_1(X0,X4) ) )
| k3_finseq_1(X1) != k3_finseq_1(X2)
| k9_rlvect_1(X0,X1) = k5_rlvect_1(X0,k9_rlvect_1(X0,X2)) ) ) ),
inference(ennf_transformation,[],[f4921]) ).
fof(f9192,plain,
! [X0] :
( ~ l1_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m2_finseq_1(X1,u1_struct_0(X0))
| ! [X2] :
( ~ m2_finseq_1(X2,u1_struct_0(X0))
| ? [X3] :
( m2_subset_1(X3,k1_numbers,k5_numbers)
& ? [X4] :
( m1_subset_1(X4,u1_struct_0(X0))
& X4 = k1_funct_1(X2,X3)
& r2_hidden(X3,k4_finseq_1(X1))
& k1_funct_1(X1,X3) != k5_rlvect_1(X0,X4) ) )
| k3_finseq_1(X1) != k3_finseq_1(X2)
| k9_rlvect_1(X0,X1) = k5_rlvect_1(X0,k9_rlvect_1(X0,X2)) ) ) ),
inference(flattening,[],[f9191]) ).
fof(f9193,plain,
! [X0] :
( ~ v1_finseq_1(X0)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| k4_finseq_1(X0) = k1_relat_1(X0) ),
inference(ennf_transformation,[],[f3369]) ).
fof(f9194,plain,
! [X0] :
( ~ v1_finseq_1(X0)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| k4_finseq_1(X0) = k1_relat_1(X0) ),
inference(flattening,[],[f9193]) ).
fof(f9195,plain,
! [X0] :
( ~ v1_finseq_1(X0)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| m1_subset_1(k4_finseq_1(X0),k1_zfmisc_1(k5_numbers)) ),
inference(ennf_transformation,[],[f3368]) ).
fof(f9196,plain,
! [X0] :
( ~ v1_finseq_1(X0)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| m1_subset_1(k4_finseq_1(X0),k1_zfmisc_1(k5_numbers)) ),
inference(flattening,[],[f9195]) ).
fof(f9197,plain,
! [X0,X1] :
( ~ v1_finseq_1(X1)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ( X1 = k9_finseq_1(X0)
<=> ( k2_relat_1(X1) = k1_tarski(X0)
& k4_finseq_1(X1) = k2_finseq_1(np__1) ) ) ),
inference(ennf_transformation,[],[f3315]) ).
fof(f9198,plain,
! [X0,X1] :
( ~ v1_finseq_1(X1)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ( X1 = k9_finseq_1(X0)
<=> ( k2_relat_1(X1) = k1_tarski(X0)
& k4_finseq_1(X1) = k2_finseq_1(np__1) ) ) ),
inference(flattening,[],[f9197]) ).
fof(f9199,plain,
! [X0] :
( ~ v1_finseq_1(X0)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ! [X1] :
( ~ v1_finseq_1(X1)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| r1_tarski(k4_finseq_1(X0),k4_finseq_1(k7_finseq_1(X0,X1))) ) ),
inference(ennf_transformation,[],[f3296]) ).
fof(f9200,plain,
! [X0] :
( ~ v1_finseq_1(X0)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ! [X1] :
( ~ v1_finseq_1(X1)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| r1_tarski(k4_finseq_1(X0),k4_finseq_1(k7_finseq_1(X0,X1))) ) ),
inference(flattening,[],[f9199]) ).
fof(f9201,plain,
! [X0] :
( ~ v1_finseq_1(X0)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ! [X1] :
( ~ v1_finseq_1(X1)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| X0 = k7_relat_1(k7_finseq_1(X0,X1),k4_finseq_1(X0)) ) ),
inference(ennf_transformation,[],[f3290]) ).
fof(f9202,plain,
! [X0] :
( ~ v1_finseq_1(X0)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ! [X1] :
( ~ v1_finseq_1(X1)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| X0 = k7_relat_1(k7_finseq_1(X0,X1),k4_finseq_1(X0)) ) ),
inference(flattening,[],[f9201]) ).
fof(f9203,plain,
! [X0] :
( ~ v1_finseq_1(X0)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ( X0 = k1_xboole_0
<=> k4_finseq_1(X0) = k1_xboole_0 ) ),
inference(ennf_transformation,[],[f3280]) ).
fof(f9204,plain,
! [X0] :
( ~ v1_finseq_1(X0)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ( X0 = k1_xboole_0
<=> k4_finseq_1(X0) = k1_xboole_0 ) ),
inference(flattening,[],[f9203]) ).
fof(f9205,plain,
! [X0] :
( ~ v1_finseq_1(X0)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ! [X1] :
( ~ v1_finseq_1(X1)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ? [X2] :
( m2_subset_1(X2,k1_numbers,k5_numbers)
& r2_hidden(X2,k4_finseq_1(X0))
& k1_funct_1(X0,X2) != k1_funct_1(X1,X2) )
| k4_finseq_1(X1) != k4_finseq_1(X0)
| X0 = X1 ) ),
inference(ennf_transformation,[],[f3270]) ).
fof(f9206,plain,
! [X0] :
( ~ v1_finseq_1(X0)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ! [X1] :
( ~ v1_finseq_1(X1)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ? [X2] :
( m2_subset_1(X2,k1_numbers,k5_numbers)
& r2_hidden(X2,k4_finseq_1(X0))
& k1_funct_1(X0,X2) != k1_funct_1(X1,X2) )
| k4_finseq_1(X1) != k4_finseq_1(X0)
| X0 = X1 ) ),
inference(flattening,[],[f9205]) ).
fof(f9207,plain,
! [X0,X1] :
( ~ v1_finseq_1(X1)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ? [X2] :
( m2_subset_1(X2,k1_numbers,k5_numbers)
& X0 = k4_tarski(X2,k1_funct_1(X1,X2))
& r2_hidden(X2,k4_finseq_1(X1)) )
| ~ r2_hidden(X0,X1) ),
inference(ennf_transformation,[],[f3269]) ).
fof(f9208,plain,
! [X0,X1] :
( ~ v1_finseq_1(X1)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ? [X2] :
( m2_subset_1(X2,k1_numbers,k5_numbers)
& X0 = k4_tarski(X2,k1_funct_1(X1,X2))
& r2_hidden(X2,k4_finseq_1(X1)) )
| ~ r2_hidden(X0,X1) ),
inference(flattening,[],[f9207]) ).
fof(f9273,plain,
( l3_lattices(sK39)
& ~ v3_realset2(sK39)
& v17_lattices(sK39)
& v10_lattices(sK39)
& ~ v3_struct_0(sK39)
& ! [X1] :
( ~ r1_filter_1(sK39,k6_lopclset(X1))
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1)
| v3_struct_0(X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK39]),skolemize(X0,sK39)],[f6544]) ).
fof(f9274,plain,
l3_lattices(sK40),
inference(skolemize,[status(esa),new_symbols(skolem,[sK40]),skolemize(X0,sK40)],[f4580]) ).
fof(f9275,plain,
l1_pre_topc(sK41),
inference(skolemize,[status(esa),new_symbols(skolem,[sK41]),skolemize(X0,sK41)],[f4688]) ).
fof(f9276,plain,
! [X0] :
( ~ l1_struct_0(X0)
| v3_struct_0(X0)
| ( ( ~ v3_realset2(X0)
| ? [X1] : u1_struct_0(X0) = k1_tarski(X1) )
& ( ! [X1] : k1_tarski(X1) != u1_struct_0(X0)
| v3_realset2(X0) ) ) ),
inference(nnf_transformation,[],[f6546]) ).
fof(f9277,plain,
! [X0] :
( ~ l1_struct_0(X0)
| v3_struct_0(X0)
| ( ( ~ v3_realset2(X0)
| ? [X2] : k1_tarski(X2) = u1_struct_0(X0) )
& ( ! [X1] : k1_tarski(X1) != u1_struct_0(X0)
| v3_realset2(X0) ) ) ),
inference(rectify,[],[f9276]) ).
fof(f9278,plain,
! [X0] :
( ~ l1_struct_0(X0)
| v3_struct_0(X0)
| ( ( ~ v3_realset2(X0)
| u1_struct_0(X0) = k1_tarski(sK42(X0)) )
& ( ! [X1] : k1_tarski(X1) != u1_struct_0(X0)
| v3_realset2(X0) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK42]),skolemize(X2,sK42(X0))],[f9277]) ).
fof(f9279,plain,
! [X0] :
( ~ l1_struct_0(X0)
| ( ( ~ v3_realset2(X0)
| ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| X1 = X2 ) ) )
& ( ? [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
& ? [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
& X1 != X2 ) )
| v3_realset2(X0) ) ) ),
inference(nnf_transformation,[],[f6547]) ).
fof(f9280,plain,
! [X0] :
( ~ l1_struct_0(X0)
| ( ( ~ v3_realset2(X0)
| ! [X3] :
( ~ m1_subset_1(X3,u1_struct_0(X0))
| ! [X4] :
( ~ m1_subset_1(X4,u1_struct_0(X0))
| X3 = X4 ) ) )
& ( ? [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
& ? [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
& X1 != X2 ) )
| v3_realset2(X0) ) ) ),
inference(rectify,[],[f9279]) ).
fof(f9281,plain,
! [X0] :
( ~ l1_struct_0(X0)
| ( ( ~ v3_realset2(X0)
| ! [X3] :
( ~ m1_subset_1(X3,u1_struct_0(X0))
| ! [X4] :
( ~ m1_subset_1(X4,u1_struct_0(X0))
| X3 = X4 ) ) )
& ( ( m1_subset_1(sK43(X0),u1_struct_0(X0))
& m1_subset_1(sK44(X0),u1_struct_0(X0))
& sK43(X0) != sK44(X0) )
| v3_realset2(X0) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK43,sK44]),skolemize(X1,sK43(X0)),skolemize(X2,sK44(X0))],[f9280]) ).
fof(f9282,plain,
( v3_realset2(sK45)
& l1_struct_0(sK45) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK45]),skolemize(X0,sK45)],[f5305]) ).
fof(f9283,plain,
! [X0,X1,X2] :
( ( ~ r1_tarski(k2_xboole_0(X0,k1_tarski(X1)),X2)
| ( r1_tarski(X0,X2)
& r2_hidden(X1,X2) ) )
& ( ~ r1_tarski(X0,X2)
| ~ r2_hidden(X1,X2)
| r1_tarski(k2_xboole_0(X0,k1_tarski(X1)),X2) ) ),
inference(nnf_transformation,[],[f2439]) ).
fof(f9284,plain,
! [X0,X1,X2] :
( ( ~ r1_tarski(k2_xboole_0(X0,k1_tarski(X1)),X2)
| ( r1_tarski(X0,X2)
& r2_hidden(X1,X2) ) )
& ( ~ r1_tarski(X0,X2)
| ~ r2_hidden(X1,X2)
| r1_tarski(k2_xboole_0(X0,k1_tarski(X1)),X2) ) ),
inference(flattening,[],[f9283]) ).
fof(f9285,plain,
! [X0,X1,X2] :
( ( ~ r2_hidden(X0,k2_xboole_0(X1,k1_tarski(X2)))
| X0 = X2
| r2_hidden(X0,X1) )
& ( ( X0 != X2
& ~ r2_hidden(X0,X1) )
| r2_hidden(X0,k2_xboole_0(X1,k1_tarski(X2))) ) ),
inference(nnf_transformation,[],[f2437]) ).
fof(f9286,plain,
! [X0,X1,X2] :
( ( ~ r2_hidden(X0,k2_xboole_0(X1,k1_tarski(X2)))
| X0 = X2
| r2_hidden(X0,X1) )
& ( ( X0 != X2
& ~ r2_hidden(X0,X1) )
| r2_hidden(X0,k2_xboole_0(X1,k1_tarski(X2))) ) ),
inference(flattening,[],[f9285]) ).
fof(f9287,plain,
! [X0] :
( k1_xboole_0 = X0
| ! [X1] :
( k1_tarski(X1) = k2_relat_1(sK46(X0,X1))
& k1_relat_1(sK46(X0,X1)) = X0
& v1_funct_1(sK46(X0,X1))
& v1_relat_1(sK46(X0,X1)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK46]),skolemize(X2,sK46(X0,X1))],[f6592]) ).
fof(f9288,plain,
! [X0,X1,X2,X3] :
( ( ~ r2_hidden(k4_tarski(X0,X1),k2_zfmisc_1(X2,k1_tarski(X3)))
| ( X1 = X3
& r2_hidden(X0,X2) ) )
& ( X1 != X3
| ~ r2_hidden(X0,X2)
| r2_hidden(k4_tarski(X0,X1),k2_zfmisc_1(X2,k1_tarski(X3))) ) ),
inference(nnf_transformation,[],[f454]) ).
fof(f9289,plain,
! [X0,X1,X2,X3] :
( ( ~ r2_hidden(k4_tarski(X0,X1),k2_zfmisc_1(X2,k1_tarski(X3)))
| ( X1 = X3
& r2_hidden(X0,X2) ) )
& ( X1 != X3
| ~ r2_hidden(X0,X2)
| r2_hidden(k4_tarski(X0,X1),k2_zfmisc_1(X2,k1_tarski(X3))) ) ),
inference(flattening,[],[f9288]) ).
fof(f9290,plain,
! [X0,X1,X2,X3] :
( ( ~ r2_hidden(k4_tarski(X0,X1),k2_zfmisc_1(k1_tarski(X2),X3))
| ( r2_hidden(X1,X3)
& X0 = X2 ) )
& ( ~ r2_hidden(X1,X3)
| X0 != X2
| r2_hidden(k4_tarski(X0,X1),k2_zfmisc_1(k1_tarski(X2),X3)) ) ),
inference(nnf_transformation,[],[f453]) ).
fof(f9291,plain,
! [X0,X1,X2,X3] :
( ( ~ r2_hidden(k4_tarski(X0,X1),k2_zfmisc_1(k1_tarski(X2),X3))
| ( r2_hidden(X1,X3)
& X0 = X2 ) )
& ( ~ r2_hidden(X1,X3)
| X0 != X2
| r2_hidden(k4_tarski(X0,X1),k2_zfmisc_1(k1_tarski(X2),X3)) ) ),
inference(flattening,[],[f9290]) ).
fof(f9292,plain,
! [X0,X1] :
( ( sK47(X0,X1) != X1
& r2_hidden(sK47(X0,X1),X0) )
| k1_xboole_0 = X0
| k1_tarski(X1) = X0 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK47]),skolemize(X2,sK47(X0,X1))],[f6605]) ).
fof(f9293,plain,
! [X0,X1] :
( ( ~ r1_tarski(X0,k1_tarski(X1))
| X0 = k1_tarski(X1)
| X0 = k1_xboole_0 )
& ( ( k1_tarski(X1) != X0
& k1_xboole_0 != X0 )
| r1_tarski(X0,k1_tarski(X1)) ) ),
inference(nnf_transformation,[],[f364]) ).
fof(f9294,plain,
! [X0,X1] :
( ( ~ r1_tarski(X0,k1_tarski(X1))
| X0 = k1_tarski(X1)
| X0 = k1_xboole_0 )
& ( ( k1_tarski(X1) != X0
& k1_xboole_0 != X0 )
| r1_tarski(X0,k1_tarski(X1)) ) ),
inference(flattening,[],[f9293]) ).
fof(f9295,plain,
! [X0,X1] :
( ( ~ r1_tarski(k1_tarski(X0),X1)
| r2_hidden(X0,X1) )
& ( ~ r2_hidden(X0,X1)
| r1_tarski(k1_tarski(X0),X1) ) ),
inference(nnf_transformation,[],[f362]) ).
fof(f9296,plain,
! [X0,X1,X2,X3] :
( ( ~ r2_hidden(k4_tarski(X0,X1),k2_zfmisc_1(k1_tarski(X2),k1_tarski(X3)))
| ( X1 = X3
& X0 = X2 ) )
& ( X1 != X3
| X0 != X2
| r2_hidden(k4_tarski(X0,X1),k2_zfmisc_1(k1_tarski(X2),k1_tarski(X3))) ) ),
inference(nnf_transformation,[],[f359]) ).
fof(f9297,plain,
! [X0,X1,X2,X3] :
( ( ~ r2_hidden(k4_tarski(X0,X1),k2_zfmisc_1(k1_tarski(X2),k1_tarski(X3)))
| ( X1 = X3
& X0 = X2 ) )
& ( X1 != X3
| X0 != X2
| r2_hidden(k4_tarski(X0,X1),k2_zfmisc_1(k1_tarski(X2),k1_tarski(X3))) ) ),
inference(flattening,[],[f9296]) ).
fof(f9298,plain,
! [X0,X1] :
( ( k1_tarski(X0) != X1
| ! [X2] :
( ( ~ r2_hidden(X2,X1)
| X2 = X0 )
& ( X0 != X2
| r2_hidden(X2,X1) ) ) )
& ( ? [X2] :
( ( r2_hidden(X2,X1)
| X2 = X0 )
& ( ~ r2_hidden(X2,X1)
| X0 != X2 ) )
| X1 = k1_tarski(X0) ) ),
inference(nnf_transformation,[],[f4]) ).
fof(f9299,plain,
! [X0,X1] :
( ( k1_tarski(X0) != X1
| ! [X3] :
( ( ~ r2_hidden(X3,X1)
| X0 = X3 )
& ( X0 != X3
| r2_hidden(X3,X1) ) ) )
& ( ? [X2] :
( ( r2_hidden(X2,X1)
| X2 = X0 )
& ( ~ r2_hidden(X2,X1)
| X0 != X2 ) )
| X1 = k1_tarski(X0) ) ),
inference(rectify,[],[f9298]) ).
fof(f9300,plain,
! [X0,X1] :
( ( k1_tarski(X0) != X1
| ! [X3] :
( ( ~ r2_hidden(X3,X1)
| X0 = X3 )
& ( X0 != X3
| r2_hidden(X3,X1) ) ) )
& ( ( ( r2_hidden(sK48(X0,X1),X1)
| sK48(X0,X1) = X0 )
& ( ~ r2_hidden(sK48(X0,X1),X1)
| sK48(X0,X1) != X0 ) )
| X1 = k1_tarski(X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK48]),skolemize(X2,sK48(X0,X1))],[f9299]) ).
fof(f9301,plain,
l1_struct_0(sK49),
inference(skolemize,[status(esa),new_symbols(skolem,[sK49]),skolemize(X0,sK49)],[f4266]) ).
fof(f9302,plain,
! [X0] :
( ~ l1_struct_0(X0)
| ( ( ~ v3_struct_0(X0)
| v1_xboole_0(u1_struct_0(X0)) )
& ( ~ v1_xboole_0(u1_struct_0(X0))
| v3_struct_0(X0) ) ) ),
inference(nnf_transformation,[],[f6611]) ).
fof(f9303,plain,
! [X0] :
( ~ l1_struct_0(X0)
| v3_struct_0(X0)
| ( ~ v1_xboole_0(sK50(X0))
& m1_subset_1(sK50(X0),k1_zfmisc_1(u1_struct_0(X0))) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK50]),skolemize(X1,sK50(X0))],[f6613]) ).
fof(f9304,plain,
( ~ v3_struct_0(sK51)
& l1_struct_0(sK51) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK51]),skolemize(X0,sK51)],[f4257]) ).
fof(f9305,plain,
! [X0] : m1_subset_1(sK52(X0),X0),
inference(skolemize,[status(esa),new_symbols(skolem,[sK52]),skolemize(X1,sK52(X0))],[f553]) ).
fof(f9306,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| ! [X3] :
( ~ m1_filter_0(X3,X0)
| ! [X4] :
( ~ m1_subset_1(X4,u1_struct_0(k8_filter_0(X0,X3)))
| ! [X5] :
( ~ m1_subset_1(X5,u1_struct_0(k8_filter_0(X0,X3)))
| X2 != X5
| X1 != X4
| ( ( ~ r3_lattices(X0,X1,X2)
| r3_lattices(k8_filter_0(X0,X3),X4,X5) )
& ( ~ r3_lattices(k8_filter_0(X0,X3),X4,X5)
| r3_lattices(X0,X1,X2) ) ) ) ) ) ) ) ),
inference(nnf_transformation,[],[f6645]) ).
fof(f9307,plain,
! [X2,X0,X1] :
( ~ sP1(X2,X0,X1)
| ( ( k8_filter_0(X0,X1) != X2
| sP0(X1,X0,X2) )
& ( ~ sP0(X1,X0,X2)
| X2 = k8_filter_0(X0,X1) ) ) ),
inference(nnf_transformation,[],[f9210]) ).
fof(f9308,plain,
! [X0,X1,X2] :
( ~ sP1(X0,X1,X2)
| ( ( k8_filter_0(X1,X2) != X0
| sP0(X2,X1,X0) )
& ( ~ sP0(X2,X1,X0)
| k8_filter_0(X1,X2) = X0 ) ) ),
inference(rectify,[],[f9307]) ).
fof(f9314,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| ( ( ~ r2_hidden(X1,k2_filter_0(X0,X2))
| r3_lattices(X0,X2,X1) )
& ( ~ r3_lattices(X0,X2,X1)
| r2_hidden(X1,k2_filter_0(X0,X2)) ) ) ) ) ),
inference(nnf_transformation,[],[f6665]) ).
fof(f9315,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ( ( ~ v3_filter_0(X1)
| ~ v3_filter_0(X0)
| v3_filter_0(k8_filter_1(X0,X1)) )
& ( ~ v3_filter_0(k8_filter_1(X0,X1))
| ( v3_filter_0(X1)
& v3_filter_0(X0) ) ) ) ) ),
inference(nnf_transformation,[],[f6671]) ).
fof(f9316,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ( ( ~ v3_filter_0(X1)
| ~ v3_filter_0(X0)
| v3_filter_0(k8_filter_1(X0,X1)) )
& ( ~ v3_filter_0(k8_filter_1(X0,X1))
| ( v3_filter_0(X1)
& v3_filter_0(X0) ) ) ) ) ),
inference(flattening,[],[f9315]) ).
fof(f9317,plain,
! [X1,X0] :
( ~ sP4(X1,X0)
| ( ( ~ sP3(X0,X1)
| ( l3_lattices(k8_filter_1(X0,X1))
& v17_lattices(k8_filter_1(X0,X1))
& v10_lattices(k8_filter_1(X0,X1))
& ~ v3_struct_0(k8_filter_1(X0,X1)) ) )
& ( ~ l3_lattices(k8_filter_1(X0,X1))
| ~ v17_lattices(k8_filter_1(X0,X1))
| ~ v10_lattices(k8_filter_1(X0,X1))
| v3_struct_0(k8_filter_1(X0,X1))
| sP3(X0,X1) ) ) ),
inference(nnf_transformation,[],[f9215]) ).
fof(f9318,plain,
! [X1,X0] :
( ~ sP4(X1,X0)
| ( ( ~ sP3(X0,X1)
| ( l3_lattices(k8_filter_1(X0,X1))
& v17_lattices(k8_filter_1(X0,X1))
& v10_lattices(k8_filter_1(X0,X1))
& ~ v3_struct_0(k8_filter_1(X0,X1)) ) )
& ( ~ l3_lattices(k8_filter_1(X0,X1))
| ~ v17_lattices(k8_filter_1(X0,X1))
| ~ v10_lattices(k8_filter_1(X0,X1))
| v3_struct_0(k8_filter_1(X0,X1))
| sP3(X0,X1) ) ) ),
inference(flattening,[],[f9317]) ).
fof(f9319,plain,
! [X0,X1] :
( ~ sP4(X0,X1)
| ( ( ~ sP3(X1,X0)
| ( l3_lattices(k8_filter_1(X1,X0))
& v17_lattices(k8_filter_1(X1,X0))
& v10_lattices(k8_filter_1(X1,X0))
& ~ v3_struct_0(k8_filter_1(X1,X0)) ) )
& ( ~ l3_lattices(k8_filter_1(X1,X0))
| ~ v17_lattices(k8_filter_1(X1,X0))
| ~ v10_lattices(k8_filter_1(X1,X0))
| v3_struct_0(k8_filter_1(X1,X0))
| sP3(X1,X0) ) ) ),
inference(rectify,[],[f9318]) ).
fof(f9322,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ( ( ~ v15_lattices(X1)
| ~ v15_lattices(X0)
| v15_lattices(k8_filter_1(X0,X1)) )
& ( ~ v15_lattices(k8_filter_1(X0,X1))
| ( v15_lattices(X1)
& v15_lattices(X0) ) ) ) ) ),
inference(nnf_transformation,[],[f6675]) ).
fof(f9323,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ( ( ~ v15_lattices(X1)
| ~ v15_lattices(X0)
| v15_lattices(k8_filter_1(X0,X1)) )
& ( ~ v15_lattices(k8_filter_1(X0,X1))
| ( v15_lattices(X1)
& v15_lattices(X0) ) ) ) ) ),
inference(flattening,[],[f9322]) ).
fof(f9324,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ( ( ~ v14_lattices(X1)
| ~ v14_lattices(X0)
| v14_lattices(k8_filter_1(X0,X1)) )
& ( ~ v14_lattices(k8_filter_1(X0,X1))
| ( v14_lattices(X1)
& v14_lattices(X0) ) ) ) ) ),
inference(nnf_transformation,[],[f6677]) ).
fof(f9325,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ( ( ~ v14_lattices(X1)
| ~ v14_lattices(X0)
| v14_lattices(k8_filter_1(X0,X1)) )
& ( ~ v14_lattices(k8_filter_1(X0,X1))
| ( v14_lattices(X1)
& v14_lattices(X0) ) ) ) ) ),
inference(flattening,[],[f9324]) ).
fof(f9326,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ( ( ~ v13_lattices(X1)
| ~ v13_lattices(X0)
| v13_lattices(k8_filter_1(X0,X1)) )
& ( ~ v13_lattices(k8_filter_1(X0,X1))
| ( v13_lattices(X1)
& v13_lattices(X0) ) ) ) ) ),
inference(nnf_transformation,[],[f6679]) ).
fof(f9327,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ( ( ~ v13_lattices(X1)
| ~ v13_lattices(X0)
| v13_lattices(k8_filter_1(X0,X1)) )
& ( ~ v13_lattices(k8_filter_1(X0,X1))
| ( v13_lattices(X1)
& v13_lattices(X0) ) ) ) ) ),
inference(flattening,[],[f9326]) ).
fof(f9328,plain,
! [X1,X0] :
( ~ sP6(X1,X0)
| ( ( ~ sP5(X0,X1)
| ( l3_lattices(k8_filter_1(X0,X1))
& v11_lattices(k8_filter_1(X0,X1))
& v10_lattices(k8_filter_1(X0,X1))
& ~ v3_struct_0(k8_filter_1(X0,X1)) ) )
& ( ~ l3_lattices(k8_filter_1(X0,X1))
| ~ v11_lattices(k8_filter_1(X0,X1))
| ~ v10_lattices(k8_filter_1(X0,X1))
| v3_struct_0(k8_filter_1(X0,X1))
| sP5(X0,X1) ) ) ),
inference(nnf_transformation,[],[f9218]) ).
fof(f9329,plain,
! [X1,X0] :
( ~ sP6(X1,X0)
| ( ( ~ sP5(X0,X1)
| ( l3_lattices(k8_filter_1(X0,X1))
& v11_lattices(k8_filter_1(X0,X1))
& v10_lattices(k8_filter_1(X0,X1))
& ~ v3_struct_0(k8_filter_1(X0,X1)) ) )
& ( ~ l3_lattices(k8_filter_1(X0,X1))
| ~ v11_lattices(k8_filter_1(X0,X1))
| ~ v10_lattices(k8_filter_1(X0,X1))
| v3_struct_0(k8_filter_1(X0,X1))
| sP5(X0,X1) ) ) ),
inference(flattening,[],[f9328]) ).
fof(f9330,plain,
! [X0,X1] :
( ~ sP6(X0,X1)
| ( ( ~ sP5(X1,X0)
| ( l3_lattices(k8_filter_1(X1,X0))
& v11_lattices(k8_filter_1(X1,X0))
& v10_lattices(k8_filter_1(X1,X0))
& ~ v3_struct_0(k8_filter_1(X1,X0)) ) )
& ( ~ l3_lattices(k8_filter_1(X1,X0))
| ~ v11_lattices(k8_filter_1(X1,X0))
| ~ v10_lattices(k8_filter_1(X1,X0))
| v3_struct_0(k8_filter_1(X1,X0))
| sP5(X1,X0) ) ) ),
inference(rectify,[],[f9329]) ).
fof(f9338,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ! [X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ( m1_subset_1(sK56(X0,X1),u1_struct_0(X0))
& r2_hidden(sK56(X0,X1),X1) )
| k1_pre_topc(X0) = X1 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK56]),skolemize(X2,sK56(X0,X1))],[f6711]) ).
fof(f9339,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ! [X1] :
( ~ m1_pre_topc(X1,X0)
| ! [X2] :
( ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ( ( ~ v4_pre_topc(X2,X1)
| ? [X3] :
( k3_xboole_0(X3,k2_pre_topc(X1)) = X2
& v4_pre_topc(X3,X0)
& m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0))) ) )
& ( ! [X3] :
( k3_xboole_0(X3,k2_pre_topc(X1)) != X2
| ~ v4_pre_topc(X3,X0)
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0))) )
| v4_pre_topc(X2,X1) ) ) ) ) ),
inference(nnf_transformation,[],[f6728]) ).
fof(f9340,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ! [X1] :
( ~ m1_pre_topc(X1,X0)
| ! [X2] :
( ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ( ( ~ v4_pre_topc(X2,X1)
| ? [X4] :
( k3_xboole_0(X4,k2_pre_topc(X1)) = X2
& v4_pre_topc(X4,X0)
& m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X0))) ) )
& ( ! [X3] :
( k3_xboole_0(X3,k2_pre_topc(X1)) != X2
| ~ v4_pre_topc(X3,X0)
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0))) )
| v4_pre_topc(X2,X1) ) ) ) ) ),
inference(rectify,[],[f9339]) ).
fof(f9341,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ! [X1] :
( ~ m1_pre_topc(X1,X0)
| ! [X2] :
( ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ( ( ~ v4_pre_topc(X2,X1)
| ( k3_xboole_0(sK57(X0,X1,X2),k2_pre_topc(X1)) = X2
& v4_pre_topc(sK57(X0,X1,X2),X0)
& m1_subset_1(sK57(X0,X1,X2),k1_zfmisc_1(u1_struct_0(X0))) ) )
& ( ! [X3] :
( k3_xboole_0(X3,k2_pre_topc(X1)) != X2
| ~ v4_pre_topc(X3,X0)
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0))) )
| v4_pre_topc(X2,X1) ) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK57]),skolemize(X4,sK57(X0,X1,X2))],[f9340]) ).
fof(f9342,plain,
! [X0] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ! [X1] :
( ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ( v1_funct_1(sK59(X0,X1))
& v1_relat_1(sK59(X0,X1))
& k2_xboole_0(X0,X1) = sK59(X0,X1) )
| ( r2_hidden(sK58(X0,X1),k3_xboole_0(k1_relat_1(X0),k1_relat_1(X1)))
& k1_funct_1(X0,sK58(X0,X1)) != k1_funct_1(X1,sK58(X0,X1)) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK58,sK59]),skolemize(X2,sK58(X0,X1)),skolemize(X3,sK59(X0,X1))],[f6761]) ).
fof(f9343,plain,
! [X0,X1,X2,X3,X4] :
( ( r2_hidden(sK61(X0,X1,X2,X3,X4),k3_xboole_0(X2,X4))
& r2_hidden(sK60(X0,X1,X2,X3,X4),k3_xboole_0(X1,X3))
& k4_tarski(sK60(X0,X1,X2,X3,X4),sK61(X0,X1,X2,X3,X4)) = X0 )
| ~ r2_hidden(X0,k3_xboole_0(k2_zfmisc_1(X1,X2),k2_zfmisc_1(X3,X4))) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK60,sK61]),skolemize(X5,sK60(X0,X1,X2,X3,X4)),skolemize(X6,sK61(X0,X1,X2,X3,X4))],[f6772]) ).
fof(f9344,plain,
! [X0,X1,X2] :
( ( r1_tarski(sK62(X0,X1,X2),X2)
& r1_tarski(sK62(X0,X1,X2),X1)
& ~ r1_tarski(sK62(X0,X1,X2),X0) )
| ~ r1_tarski(X0,X2)
| ~ r1_tarski(X0,X1)
| X0 = k3_xboole_0(X1,X2) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK62]),skolemize(X3,sK62(X0,X1,X2))],[f6783]) ).
fof(f9345,plain,
! [X0,X1,X2] :
( ( k3_xboole_0(X0,X1) != X2
| ! [X3] :
( ( ~ r2_hidden(X3,X2)
| ( r2_hidden(X3,X1)
& r2_hidden(X3,X0) ) )
& ( ~ r2_hidden(X3,X1)
| ~ r2_hidden(X3,X0)
| r2_hidden(X3,X2) ) ) )
& ( ? [X3] :
( ( r2_hidden(X3,X2)
| ( r2_hidden(X3,X1)
& r2_hidden(X3,X0) ) )
& ( ~ r2_hidden(X3,X2)
| ~ r2_hidden(X3,X1)
| ~ r2_hidden(X3,X0) ) )
| X2 = k3_xboole_0(X0,X1) ) ),
inference(nnf_transformation,[],[f31]) ).
fof(f9346,plain,
! [X0,X1,X2] :
( ( k3_xboole_0(X0,X1) != X2
| ! [X3] :
( ( ~ r2_hidden(X3,X2)
| ( r2_hidden(X3,X1)
& r2_hidden(X3,X0) ) )
& ( ~ r2_hidden(X3,X1)
| ~ r2_hidden(X3,X0)
| r2_hidden(X3,X2) ) ) )
& ( ? [X3] :
( ( r2_hidden(X3,X2)
| ( r2_hidden(X3,X1)
& r2_hidden(X3,X0) ) )
& ( ~ r2_hidden(X3,X2)
| ~ r2_hidden(X3,X1)
| ~ r2_hidden(X3,X0) ) )
| X2 = k3_xboole_0(X0,X1) ) ),
inference(flattening,[],[f9345]) ).
fof(f9347,plain,
! [X0,X1,X2] :
( ( k3_xboole_0(X0,X1) != X2
| ! [X4] :
( ( ~ r2_hidden(X4,X2)
| ( r2_hidden(X4,X1)
& r2_hidden(X4,X0) ) )
& ( ~ r2_hidden(X4,X1)
| ~ r2_hidden(X4,X0)
| r2_hidden(X4,X2) ) ) )
& ( ? [X3] :
( ( r2_hidden(X3,X2)
| ( r2_hidden(X3,X1)
& r2_hidden(X3,X0) ) )
& ( ~ r2_hidden(X3,X2)
| ~ r2_hidden(X3,X1)
| ~ r2_hidden(X3,X0) ) )
| X2 = k3_xboole_0(X0,X1) ) ),
inference(rectify,[],[f9346]) ).
fof(f9348,plain,
! [X0,X1,X2] :
( ( k3_xboole_0(X0,X1) != X2
| ! [X4] :
( ( ~ r2_hidden(X4,X2)
| ( r2_hidden(X4,X1)
& r2_hidden(X4,X0) ) )
& ( ~ r2_hidden(X4,X1)
| ~ r2_hidden(X4,X0)
| r2_hidden(X4,X2) ) ) )
& ( ( ( r2_hidden(sK63(X0,X1,X2),X2)
| ( r2_hidden(sK63(X0,X1,X2),X1)
& r2_hidden(sK63(X0,X1,X2),X0) ) )
& ( ~ r2_hidden(sK63(X0,X1,X2),X2)
| ~ r2_hidden(sK63(X0,X1,X2),X1)
| ~ r2_hidden(sK63(X0,X1,X2),X0) ) )
| X2 = k3_xboole_0(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK63]),skolemize(X3,sK63(X0,X1,X2))],[f9347]) ).
fof(f9352,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v1_xboole_0(X1)
| ( ( ~ m1_filter_0(X1,X0)
| ( sP8(X1,X0)
& ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| ! [X3] :
( ~ m1_subset_1(X3,u1_struct_0(X0))
| ~ r2_hidden(X3,X1)
| ~ r2_hidden(X2,X1)
| r2_hidden(k4_lattices(X0,X2,X3),X1) ) ) ) )
& ( ~ sP8(X1,X0)
| ? [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
& ? [X3] :
( m1_subset_1(X3,u1_struct_0(X0))
& r2_hidden(X3,X1)
& r2_hidden(X2,X1)
& ~ r2_hidden(k4_lattices(X0,X2,X3),X1) ) )
| m1_filter_0(X1,X0) ) ) ) ),
inference(nnf_transformation,[],[f9223]) ).
fof(f9353,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v1_xboole_0(X1)
| ( ( ~ m1_filter_0(X1,X0)
| ( sP8(X1,X0)
& ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| ! [X3] :
( ~ m1_subset_1(X3,u1_struct_0(X0))
| ~ r2_hidden(X3,X1)
| ~ r2_hidden(X2,X1)
| r2_hidden(k4_lattices(X0,X2,X3),X1) ) ) ) )
& ( ~ sP8(X1,X0)
| ? [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
& ? [X3] :
( m1_subset_1(X3,u1_struct_0(X0))
& r2_hidden(X3,X1)
& r2_hidden(X2,X1)
& ~ r2_hidden(k4_lattices(X0,X2,X3),X1) ) )
| m1_filter_0(X1,X0) ) ) ) ),
inference(flattening,[],[f9352]) ).
fof(f9354,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v1_xboole_0(X1)
| ( ( ~ m1_filter_0(X1,X0)
| ( sP8(X1,X0)
& ! [X4] :
( ~ m1_subset_1(X4,u1_struct_0(X0))
| ! [X5] :
( ~ m1_subset_1(X5,u1_struct_0(X0))
| ~ r2_hidden(X5,X1)
| ~ r2_hidden(X4,X1)
| r2_hidden(k4_lattices(X0,X4,X5),X1) ) ) ) )
& ( ~ sP8(X1,X0)
| ? [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
& ? [X3] :
( m1_subset_1(X3,u1_struct_0(X0))
& r2_hidden(X3,X1)
& r2_hidden(X2,X1)
& ~ r2_hidden(k4_lattices(X0,X2,X3),X1) ) )
| m1_filter_0(X1,X0) ) ) ) ),
inference(rectify,[],[f9353]) ).
fof(f9355,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v1_xboole_0(X1)
| ( ( ~ m1_filter_0(X1,X0)
| ( sP8(X1,X0)
& ! [X4] :
( ~ m1_subset_1(X4,u1_struct_0(X0))
| ! [X5] :
( ~ m1_subset_1(X5,u1_struct_0(X0))
| ~ r2_hidden(X5,X1)
| ~ r2_hidden(X4,X1)
| r2_hidden(k4_lattices(X0,X4,X5),X1) ) ) ) )
& ( ~ sP8(X1,X0)
| ( m1_subset_1(sK66(X0,X1),u1_struct_0(X0))
& m1_subset_1(sK67(X0,X1),u1_struct_0(X0))
& r2_hidden(sK67(X0,X1),X1)
& r2_hidden(sK66(X0,X1),X1)
& ~ r2_hidden(k4_lattices(X0,sK66(X0,X1),sK67(X0,X1)),X1) )
| m1_filter_0(X1,X0) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK66,sK67]),skolemize(X2,sK66(X0,X1)),skolemize(X3,sK67(X0,X1))],[f9354]) ).
fof(f9356,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v1_xboole_0(X1)
| ( ( ~ m1_filter_0(X1,X0)
| ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| ! [X3] :
( ~ m1_subset_1(X3,u1_struct_0(X0))
| ( ( ~ r2_hidden(X3,X1)
| ~ r2_hidden(X2,X1)
| r2_hidden(k4_lattices(X0,X2,X3),X1) )
& ( ~ r2_hidden(k4_lattices(X0,X2,X3),X1)
| ( r2_hidden(X3,X1)
& r2_hidden(X2,X1) ) ) ) ) ) )
& ( ? [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
& ? [X3] :
( m1_subset_1(X3,u1_struct_0(X0))
& ( ( r2_hidden(X3,X1)
& r2_hidden(X2,X1) )
| r2_hidden(k4_lattices(X0,X2,X3),X1) )
& ( ~ r2_hidden(X3,X1)
| ~ r2_hidden(X2,X1)
| ~ r2_hidden(k4_lattices(X0,X2,X3),X1) ) ) )
| m1_filter_0(X1,X0) ) ) ) ),
inference(nnf_transformation,[],[f6790]) ).
fof(f9357,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v1_xboole_0(X1)
| ( ( ~ m1_filter_0(X1,X0)
| ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| ! [X3] :
( ~ m1_subset_1(X3,u1_struct_0(X0))
| ( ( ~ r2_hidden(X3,X1)
| ~ r2_hidden(X2,X1)
| r2_hidden(k4_lattices(X0,X2,X3),X1) )
& ( ~ r2_hidden(k4_lattices(X0,X2,X3),X1)
| ( r2_hidden(X3,X1)
& r2_hidden(X2,X1) ) ) ) ) ) )
& ( ? [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
& ? [X3] :
( m1_subset_1(X3,u1_struct_0(X0))
& ( ( r2_hidden(X3,X1)
& r2_hidden(X2,X1) )
| r2_hidden(k4_lattices(X0,X2,X3),X1) )
& ( ~ r2_hidden(X3,X1)
| ~ r2_hidden(X2,X1)
| ~ r2_hidden(k4_lattices(X0,X2,X3),X1) ) ) )
| m1_filter_0(X1,X0) ) ) ) ),
inference(flattening,[],[f9356]) ).
fof(f9358,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v1_xboole_0(X1)
| ( ( ~ m1_filter_0(X1,X0)
| ! [X4] :
( ~ m1_subset_1(X4,u1_struct_0(X0))
| ! [X5] :
( ~ m1_subset_1(X5,u1_struct_0(X0))
| ( ( ~ r2_hidden(X5,X1)
| ~ r2_hidden(X4,X1)
| r2_hidden(k4_lattices(X0,X4,X5),X1) )
& ( ~ r2_hidden(k4_lattices(X0,X4,X5),X1)
| ( r2_hidden(X5,X1)
& r2_hidden(X4,X1) ) ) ) ) ) )
& ( ? [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
& ? [X3] :
( m1_subset_1(X3,u1_struct_0(X0))
& ( ( r2_hidden(X3,X1)
& r2_hidden(X2,X1) )
| r2_hidden(k4_lattices(X0,X2,X3),X1) )
& ( ~ r2_hidden(X3,X1)
| ~ r2_hidden(X2,X1)
| ~ r2_hidden(k4_lattices(X0,X2,X3),X1) ) ) )
| m1_filter_0(X1,X0) ) ) ) ),
inference(rectify,[],[f9357]) ).
fof(f9359,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v1_xboole_0(X1)
| ( ( ~ m1_filter_0(X1,X0)
| ! [X4] :
( ~ m1_subset_1(X4,u1_struct_0(X0))
| ! [X5] :
( ~ m1_subset_1(X5,u1_struct_0(X0))
| ( ( ~ r2_hidden(X5,X1)
| ~ r2_hidden(X4,X1)
| r2_hidden(k4_lattices(X0,X4,X5),X1) )
& ( ~ r2_hidden(k4_lattices(X0,X4,X5),X1)
| ( r2_hidden(X5,X1)
& r2_hidden(X4,X1) ) ) ) ) ) )
& ( ( m1_subset_1(sK68(X0,X1),u1_struct_0(X0))
& m1_subset_1(sK69(X0,X1),u1_struct_0(X0))
& ( ( r2_hidden(sK69(X0,X1),X1)
& r2_hidden(sK68(X0,X1),X1) )
| r2_hidden(k4_lattices(X0,sK68(X0,X1),sK69(X0,X1)),X1) )
& ( ~ r2_hidden(sK69(X0,X1),X1)
| ~ r2_hidden(sK68(X0,X1),X1)
| ~ r2_hidden(k4_lattices(X0,sK68(X0,X1),sK69(X0,X1)),X1) ) )
| m1_filter_0(X1,X0) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK68,sK69]),skolemize(X2,sK68(X0,X1)),skolemize(X3,sK69(X0,X1))],[f9358]) ).
fof(f9360,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ( ( ? [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
& ? [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
& ? [X3] :
( m1_subset_1(X3,u1_struct_0(X0))
& k4_lattices(X0,X1,k3_lattices(X0,X2,X3)) != k3_lattices(X0,k4_lattices(X0,X1,X2),k4_lattices(X0,X1,X3)) ) ) )
| ! [X4] :
( ~ m1_subset_1(X4,u1_struct_0(X0))
| ! [X5] :
( ~ m1_subset_1(X5,u1_struct_0(X0))
| ! [X6] :
( ~ m1_subset_1(X6,u1_struct_0(X0))
| k3_lattices(X0,X4,k4_lattices(X0,X5,X6)) = k4_lattices(X0,k3_lattices(X0,X4,X5),k3_lattices(X0,X4,X6)) ) ) ) )
& ( ? [X4] :
( m1_subset_1(X4,u1_struct_0(X0))
& ? [X5] :
( m1_subset_1(X5,u1_struct_0(X0))
& ? [X6] :
( m1_subset_1(X6,u1_struct_0(X0))
& k3_lattices(X0,X4,k4_lattices(X0,X5,X6)) != k4_lattices(X0,k3_lattices(X0,X4,X5),k3_lattices(X0,X4,X6)) ) ) )
| ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| ! [X3] :
( ~ m1_subset_1(X3,u1_struct_0(X0))
| k4_lattices(X0,X1,k3_lattices(X0,X2,X3)) = k3_lattices(X0,k4_lattices(X0,X1,X2),k4_lattices(X0,X1,X3)) ) ) ) ) ) ),
inference(nnf_transformation,[],[f6798]) ).
fof(f9361,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ( ( ? [X10] :
( m1_subset_1(X10,u1_struct_0(X0))
& ? [X11] :
( m1_subset_1(X11,u1_struct_0(X0))
& ? [X12] :
( m1_subset_1(X12,u1_struct_0(X0))
& k4_lattices(X0,X10,k3_lattices(X0,X11,X12)) != k3_lattices(X0,k4_lattices(X0,X10,X11),k4_lattices(X0,X10,X12)) ) ) )
| ! [X7] :
( ~ m1_subset_1(X7,u1_struct_0(X0))
| ! [X8] :
( ~ m1_subset_1(X8,u1_struct_0(X0))
| ! [X9] :
( ~ m1_subset_1(X9,u1_struct_0(X0))
| k3_lattices(X0,X7,k4_lattices(X0,X8,X9)) = k4_lattices(X0,k3_lattices(X0,X7,X8),k3_lattices(X0,X7,X9)) ) ) ) )
& ( ? [X4] :
( m1_subset_1(X4,u1_struct_0(X0))
& ? [X5] :
( m1_subset_1(X5,u1_struct_0(X0))
& ? [X6] :
( m1_subset_1(X6,u1_struct_0(X0))
& k3_lattices(X0,X4,k4_lattices(X0,X5,X6)) != k4_lattices(X0,k3_lattices(X0,X4,X5),k3_lattices(X0,X4,X6)) ) ) )
| ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| ! [X3] :
( ~ m1_subset_1(X3,u1_struct_0(X0))
| k4_lattices(X0,X1,k3_lattices(X0,X2,X3)) = k3_lattices(X0,k4_lattices(X0,X1,X2),k4_lattices(X0,X1,X3)) ) ) ) ) ) ),
inference(rectify,[],[f9360]) ).
fof(f9362,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ( ( ( m1_subset_1(sK73(X0),u1_struct_0(X0))
& m1_subset_1(sK74(X0),u1_struct_0(X0))
& m1_subset_1(sK75(X0),u1_struct_0(X0))
& k4_lattices(X0,sK73(X0),k3_lattices(X0,sK74(X0),sK75(X0))) != k3_lattices(X0,k4_lattices(X0,sK73(X0),sK74(X0)),k4_lattices(X0,sK73(X0),sK75(X0))) )
| ! [X7] :
( ~ m1_subset_1(X7,u1_struct_0(X0))
| ! [X8] :
( ~ m1_subset_1(X8,u1_struct_0(X0))
| ! [X9] :
( ~ m1_subset_1(X9,u1_struct_0(X0))
| k3_lattices(X0,X7,k4_lattices(X0,X8,X9)) = k4_lattices(X0,k3_lattices(X0,X7,X8),k3_lattices(X0,X7,X9)) ) ) ) )
& ( ( m1_subset_1(sK70(X0),u1_struct_0(X0))
& m1_subset_1(sK71(X0),u1_struct_0(X0))
& m1_subset_1(sK72(X0),u1_struct_0(X0))
& k3_lattices(X0,sK70(X0),k4_lattices(X0,sK71(X0),sK72(X0))) != k4_lattices(X0,k3_lattices(X0,sK70(X0),sK71(X0)),k3_lattices(X0,sK70(X0),sK72(X0))) )
| ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| ! [X3] :
( ~ m1_subset_1(X3,u1_struct_0(X0))
| k4_lattices(X0,X1,k3_lattices(X0,X2,X3)) = k3_lattices(X0,k4_lattices(X0,X1,X2),k4_lattices(X0,X1,X3)) ) ) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK70,sK71,sK72,sK73,sK74,sK75]),skolemize(X4,sK70(X0)),skolemize(X5,sK71(X0)),skolemize(X6,sK72(X0)),skolemize(X10,sK73(X0)),skolemize(X11,sK74(X0)),skolemize(X12,sK75(X0))],[f9361]) ).
fof(f9363,plain,
! [X0,X1,X2] :
( ( r1_tarski(X2,sK76(X0,X1,X2))
& r1_tarski(X0,sK76(X0,X1,X2))
& ~ r1_tarski(X1,sK76(X0,X1,X2)) )
| ~ r1_tarski(X2,X1)
| ~ r1_tarski(X0,X1)
| X1 = k2_xboole_0(X0,X2) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK76]),skolemize(X3,sK76(X0,X1,X2))],[f6816]) ).
fof(f9364,plain,
! [X0,X1,X2] :
( ( k2_xboole_0(X0,X1) != X2
| ! [X3] :
( ( ~ r2_hidden(X3,X2)
| r2_hidden(X3,X1)
| r2_hidden(X3,X0) )
& ( ( ~ r2_hidden(X3,X1)
& ~ r2_hidden(X3,X0) )
| r2_hidden(X3,X2) ) ) )
& ( ? [X3] :
( ( r2_hidden(X3,X2)
| r2_hidden(X3,X1)
| r2_hidden(X3,X0) )
& ( ~ r2_hidden(X3,X2)
| ( ~ r2_hidden(X3,X1)
& ~ r2_hidden(X3,X0) ) ) )
| X2 = k2_xboole_0(X0,X1) ) ),
inference(nnf_transformation,[],[f30]) ).
fof(f9365,plain,
! [X0,X1,X2] :
( ( k2_xboole_0(X0,X1) != X2
| ! [X3] :
( ( ~ r2_hidden(X3,X2)
| r2_hidden(X3,X1)
| r2_hidden(X3,X0) )
& ( ( ~ r2_hidden(X3,X1)
& ~ r2_hidden(X3,X0) )
| r2_hidden(X3,X2) ) ) )
& ( ? [X3] :
( ( r2_hidden(X3,X2)
| r2_hidden(X3,X1)
| r2_hidden(X3,X0) )
& ( ~ r2_hidden(X3,X2)
| ( ~ r2_hidden(X3,X1)
& ~ r2_hidden(X3,X0) ) ) )
| X2 = k2_xboole_0(X0,X1) ) ),
inference(flattening,[],[f9364]) ).
fof(f9366,plain,
! [X0,X1,X2] :
( ( k2_xboole_0(X0,X1) != X2
| ! [X4] :
( ( ~ r2_hidden(X4,X2)
| r2_hidden(X4,X1)
| r2_hidden(X4,X0) )
& ( ( ~ r2_hidden(X4,X1)
& ~ r2_hidden(X4,X0) )
| r2_hidden(X4,X2) ) ) )
& ( ? [X3] :
( ( r2_hidden(X3,X2)
| r2_hidden(X3,X1)
| r2_hidden(X3,X0) )
& ( ~ r2_hidden(X3,X2)
| ( ~ r2_hidden(X3,X1)
& ~ r2_hidden(X3,X0) ) ) )
| X2 = k2_xboole_0(X0,X1) ) ),
inference(rectify,[],[f9365]) ).
fof(f9367,plain,
! [X0,X1,X2] :
( ( k2_xboole_0(X0,X1) != X2
| ! [X4] :
( ( ~ r2_hidden(X4,X2)
| r2_hidden(X4,X1)
| r2_hidden(X4,X0) )
& ( ( ~ r2_hidden(X4,X1)
& ~ r2_hidden(X4,X0) )
| r2_hidden(X4,X2) ) ) )
& ( ( ( r2_hidden(sK77(X0,X1,X2),X2)
| r2_hidden(sK77(X0,X1,X2),X1)
| r2_hidden(sK77(X0,X1,X2),X0) )
& ( ~ r2_hidden(sK77(X0,X1,X2),X2)
| ( ~ r2_hidden(sK77(X0,X1,X2),X1)
& ~ r2_hidden(sK77(X0,X1,X2),X0) ) ) )
| X2 = k2_xboole_0(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK77]),skolemize(X3,sK77(X0,X1,X2))],[f9366]) ).
fof(f9368,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ( m1_subset_1(sK78(X0,X1),u1_struct_0(X0))
& sK78(X0,X1) != k3_lattices(X0,X1,sK78(X0,X1)) )
| X1 = k5_lattices(X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK78]),skolemize(X2,sK78(X0,X1))],[f6828]) ).
fof(f9369,plain,
! [X0,X1] :
( ( ~ m1_subset_1(X0,k1_zfmisc_1(X1))
| r1_tarski(X0,X1) )
& ( ~ r1_tarski(X0,X1)
| m1_subset_1(X0,k1_zfmisc_1(X1)) ) ),
inference(nnf_transformation,[],[f677]) ).
fof(f9370,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ! [X2] :
( ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ( m1_subset_1(sK79(X1,X2),X1)
& ~ r2_hidden(sK79(X1,X2),X2) )
| r1_tarski(X1,X2) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK79]),skolemize(X3,sK79(X1,X2))],[f6863]) ).
fof(f9371,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ! [X2] :
( ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ( m1_subset_1(sK80(X0,X1,X2),X0)
& r2_hidden(sK80(X0,X1,X2),X1)
& ~ r2_hidden(sK80(X0,X1,X2),X2) )
| r1_tarski(X1,X2) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK80]),skolemize(X3,sK80(X0,X1,X2))],[f6865]) ).
fof(f9372,plain,
! [X0,X1] :
( ( k1_zfmisc_1(X0) != X1
| ! [X2] :
( ( ~ r2_hidden(X2,X1)
| r1_tarski(X2,X0) )
& ( ~ r1_tarski(X2,X0)
| r2_hidden(X2,X1) ) ) )
& ( ? [X2] :
( ( r2_hidden(X2,X1)
| r1_tarski(X2,X0) )
& ( ~ r2_hidden(X2,X1)
| ~ r1_tarski(X2,X0) ) )
| X1 = k1_zfmisc_1(X0) ) ),
inference(nnf_transformation,[],[f322]) ).
fof(f9373,plain,
! [X0,X1] :
( ( k1_zfmisc_1(X0) != X1
| ! [X3] :
( ( ~ r2_hidden(X3,X1)
| r1_tarski(X3,X0) )
& ( ~ r1_tarski(X3,X0)
| r2_hidden(X3,X1) ) ) )
& ( ? [X2] :
( ( r2_hidden(X2,X1)
| r1_tarski(X2,X0) )
& ( ~ r2_hidden(X2,X1)
| ~ r1_tarski(X2,X0) ) )
| X1 = k1_zfmisc_1(X0) ) ),
inference(rectify,[],[f9372]) ).
fof(f9374,plain,
! [X0,X1] :
( ( k1_zfmisc_1(X0) != X1
| ! [X3] :
( ( ~ r2_hidden(X3,X1)
| r1_tarski(X3,X0) )
& ( ~ r1_tarski(X3,X0)
| r2_hidden(X3,X1) ) ) )
& ( ( ( r2_hidden(sK81(X0,X1),X1)
| r1_tarski(sK81(X0,X1),X0) )
& ( ~ r2_hidden(sK81(X0,X1),X1)
| ~ r1_tarski(sK81(X0,X1),X0) ) )
| X1 = k1_zfmisc_1(X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK81]),skolemize(X2,sK81(X0,X1))],[f9373]) ).
fof(f9375,plain,
! [X0,X1] :
( ( X0 != X1
| ( r1_tarski(X1,X0)
& r1_tarski(X0,X1) ) )
& ( ~ r1_tarski(X1,X0)
| ~ r1_tarski(X0,X1)
| X0 = X1 ) ),
inference(nnf_transformation,[],[f38]) ).
fof(f9376,plain,
! [X0,X1] :
( ( X0 != X1
| ( r1_tarski(X1,X0)
& r1_tarski(X0,X1) ) )
& ( ~ r1_tarski(X1,X0)
| ~ r1_tarski(X0,X1)
| X0 = X1 ) ),
inference(flattening,[],[f9375]) ).
fof(f9377,plain,
! [X0,X1] :
( ( ~ r1_tarski(X0,X1)
| ! [X2] :
( ~ r2_hidden(X2,X0)
| r2_hidden(X2,X1) ) )
& ( ? [X2] :
( r2_hidden(X2,X0)
& ~ r2_hidden(X2,X1) )
| r1_tarski(X0,X1) ) ),
inference(nnf_transformation,[],[f6879]) ).
fof(f9378,plain,
! [X0,X1] :
( ( ~ r1_tarski(X0,X1)
| ! [X3] :
( ~ r2_hidden(X3,X0)
| r2_hidden(X3,X1) ) )
& ( ? [X2] :
( r2_hidden(X2,X0)
& ~ r2_hidden(X2,X1) )
| r1_tarski(X0,X1) ) ),
inference(rectify,[],[f9377]) ).
fof(f9379,plain,
! [X0,X1] :
( ( ~ r1_tarski(X0,X1)
| ! [X3] :
( ~ r2_hidden(X3,X0)
| r2_hidden(X3,X1) ) )
& ( ( r2_hidden(sK82(X0,X1),X0)
& ~ r2_hidden(sK82(X0,X1),X1) )
| r1_tarski(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK82]),skolemize(X2,sK82(X0,X1))],[f9378]) ).
fof(f9380,plain,
( v1_funct_1(sK83)
& v1_xboole_0(sK83)
& v1_relat_1(sK83) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK83]),skolemize(X0,sK83)],[f918]) ).
fof(f9381,plain,
( v1_relat_1(sK84)
& ~ v1_xboole_0(sK84) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK84]),skolemize(X0,sK84)],[f686]) ).
fof(f9382,plain,
( v1_relat_1(sK85)
& v1_xboole_0(sK85) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK85]),skolemize(X0,sK85)],[f680]) ).
fof(f9383,plain,
! [X0,X1] :
( ( ~ v1_xboole_0(X0)
| ( ( ~ m1_subset_1(X1,X0)
| v1_xboole_0(X1) )
& ( ~ v1_xboole_0(X1)
| m1_subset_1(X1,X0) ) ) )
& ( v1_xboole_0(X0)
| ( ( ~ m1_subset_1(X1,X0)
| r2_hidden(X1,X0) )
& ( ~ r2_hidden(X1,X0)
| m1_subset_1(X1,X0) ) ) ) ),
inference(nnf_transformation,[],[f6885]) ).
fof(f9384,plain,
! [X0] :
( v1_xboole_0(sK86(X0))
& m1_subset_1(sK86(X0),k1_zfmisc_1(X0)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK86]),skolemize(X1,sK86(X0))],[f478]) ).
fof(f9385,plain,
! [X0] :
( v1_xboole_0(X0)
| ( ~ v1_xboole_0(sK87(X0))
& m1_subset_1(sK87(X0),k1_zfmisc_1(X0)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK87]),skolemize(X1,sK87(X0))],[f6886]) ).
fof(f9386,plain,
! [X0] :
( ( ~ v1_xboole_0(X0)
| X0 = k1_xboole_0 )
& ( k1_xboole_0 != X0
| v1_xboole_0(X0) ) ),
inference(nnf_transformation,[],[f33]) ).
fof(f9387,plain,
~ v1_xboole_0(sK88),
inference(skolemize,[status(esa),new_symbols(skolem,[sK88]),skolemize(X0,sK88)],[f26]) ).
fof(f9388,plain,
v1_xboole_0(sK89),
inference(skolemize,[status(esa),new_symbols(skolem,[sK89]),skolemize(X0,sK89)],[f25]) ).
fof(f9389,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ( ! [X3] :
( ~ r2_hidden(X3,k2_zfmisc_1(X1,X1))
| r2_hidden(k1_funct_1(sK90(X0,X1),X3),X1) )
& m2_relset_1(sK90(X0,X1),k2_zfmisc_1(X0,X0),X0)
& v1_funct_2(sK90(X0,X1),k2_zfmisc_1(X0,X0),X0)
& v1_funct_1(sK90(X0,X1)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK90]),skolemize(X2,sK90(X0,X1))],[f6890]) ).
fof(f9390,plain,
! [X0,X1] :
( ~ m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| ( ! [X3] :
( ~ r2_hidden(X3,k2_zfmisc_1(sK91(X0,X1),sK91(X0,X1)))
| r2_hidden(k1_funct_1(X1,X3),sK91(X0,X1)) )
& m1_subset_1(sK91(X0,X1),k1_zfmisc_1(X0)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK91]),skolemize(X2,sK91(X0,X1))],[f6892]) ).
fof(f9391,plain,
! [X0,X1] :
( ( k1_xboole_0 != k2_zfmisc_1(X0,X1)
| X1 = k1_xboole_0
| X0 = k1_xboole_0 )
& ( ( k1_xboole_0 != X1
& k1_xboole_0 != X0 )
| k2_zfmisc_1(X0,X1) = k1_xboole_0 ) ),
inference(nnf_transformation,[],[f438]) ).
fof(f9392,plain,
! [X0,X1] :
( ( k1_xboole_0 != k2_zfmisc_1(X0,X1)
| X1 = k1_xboole_0
| X0 = k1_xboole_0 )
& ( ( k1_xboole_0 != X1
& k1_xboole_0 != X0 )
| k2_zfmisc_1(X0,X1) = k1_xboole_0 ) ),
inference(flattening,[],[f9391]) ).
fof(f9393,plain,
! [X0,X1] :
( ( ! [X3] :
( ~ r2_hidden(X3,sK92(X1))
| ~ r2_hidden(X3,X1) )
& r2_hidden(sK92(X1),X1) )
| ~ r2_hidden(X0,X1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK92]),skolemize(X2,sK92(X1))],[f6909]) ).
fof(f9394,plain,
! [X0,X1] :
( ? [X2] :
( ( r2_hidden(X2,X0)
| r2_hidden(X2,X1) )
& ( ~ r2_hidden(X2,X0)
| ~ r2_hidden(X2,X1) ) )
| X0 = X1 ),
inference(nnf_transformation,[],[f6910]) ).
fof(f9395,plain,
! [X0,X1] :
( ( ( r2_hidden(sK93(X0,X1),X0)
| r2_hidden(sK93(X0,X1),X1) )
& ( ~ r2_hidden(sK93(X0,X1),X0)
| ~ r2_hidden(sK93(X0,X1),X1) ) )
| X0 = X1 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK93]),skolemize(X2,sK93(X0,X1))],[f9394]) ).
fof(f9396,plain,
! [X0,X1] : m2_relset_1(sK94(X0,X1),X0,X1),
inference(skolemize,[status(esa),new_symbols(skolem,[sK94]),skolemize(X2,sK94(X0,X1))],[f1317]) ).
fof(f9397,plain,
! [X0,X1,X2] :
( ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| ! [X3] :
( ~ v1_funct_1(X3)
| ~ v1_relat_1(X3)
| ( r2_hidden(sK96(X0,X1,X2,X3),X1)
& r2_hidden(sK95(X0,X1,X2,X3),X0)
& k1_funct_1(X2,k4_tarski(sK95(X0,X1,X2,X3),sK96(X0,X1,X2,X3))) != k1_funct_1(X3,k4_tarski(sK95(X0,X1,X2,X3),sK96(X0,X1,X2,X3))) )
| k2_zfmisc_1(X0,X1) != k1_relat_1(X3)
| k2_zfmisc_1(X0,X1) != k1_relat_1(X2)
| X2 = X3 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK95,sK96]),skolemize(X4,sK95(X0,X1,X2,X3)),skolemize(X5,sK96(X0,X1,X2,X3))],[f6913]) ).
fof(f9398,plain,
! [X0,X1,X2,X3] :
( ~ m2_relset_1(X3,k2_zfmisc_1(X0,X1),X2)
| ~ v1_funct_2(X3,k2_zfmisc_1(X0,X1),X2)
| ~ v1_funct_1(X3)
| ! [X4] :
( ~ m2_relset_1(X4,k2_zfmisc_1(X0,X1),X2)
| ~ v1_funct_2(X4,k2_zfmisc_1(X0,X1),X2)
| ~ v1_funct_1(X4)
| ( m1_subset_1(sK97(X0,X1,X3,X4),X0)
& m1_subset_1(sK98(X0,X1,X3,X4),X1)
& k1_funct_1(X3,k4_tarski(sK97(X0,X1,X3,X4),sK98(X0,X1,X3,X4))) != k1_funct_1(X4,k4_tarski(sK97(X0,X1,X3,X4),sK98(X0,X1,X3,X4))) )
| X3 = X4 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK97,sK98]),skolemize(X5,sK97(X0,X1,X3,X4)),skolemize(X6,sK98(X0,X1,X3,X4))],[f6915]) ).
fof(f9399,plain,
! [X0,X1,X2,X3] :
( ~ m2_relset_1(X3,k2_zfmisc_1(X0,X1),X2)
| ~ v1_funct_2(X3,k2_zfmisc_1(X0,X1),X2)
| ~ v1_funct_1(X3)
| ! [X4] :
( ~ m2_relset_1(X4,k2_zfmisc_1(X0,X1),X2)
| ~ v1_funct_2(X4,k2_zfmisc_1(X0,X1),X2)
| ~ v1_funct_1(X4)
| ( r2_hidden(sK100(X0,X1,X3,X4),X1)
& r2_hidden(sK99(X0,X1,X3,X4),X0)
& k1_funct_1(X3,k4_tarski(sK99(X0,X1,X3,X4),sK100(X0,X1,X3,X4))) != k1_funct_1(X4,k4_tarski(sK99(X0,X1,X3,X4),sK100(X0,X1,X3,X4))) )
| X3 = X4 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK99,sK100]),skolemize(X5,sK99(X0,X1,X3,X4)),skolemize(X6,sK100(X0,X1,X3,X4))],[f6919]) ).
fof(f9400,plain,
! [X0,X1,X2] :
( ~ m2_relset_1(X2,X0,X1)
| ~ v1_funct_2(X2,X0,X1)
| ~ v1_funct_1(X2)
| ! [X3] :
( ~ m2_relset_1(X3,X0,X1)
| ~ v1_funct_2(X3,X0,X1)
| ~ v1_funct_1(X3)
| ( m1_subset_1(sK101(X0,X2,X3),X0)
& k1_funct_1(X3,sK101(X0,X2,X3)) != k1_funct_1(X2,sK101(X0,X2,X3)) )
| X2 = X3 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK101]),skolemize(X4,sK101(X0,X2,X3))],[f6921]) ).
fof(f9401,plain,
! [X0,X1,X2] :
( ~ m2_relset_1(X2,X0,X1)
| ~ v1_funct_2(X2,X0,X1)
| ~ v1_funct_1(X2)
| ! [X3] :
( ~ m2_relset_1(X3,X0,X1)
| ~ v1_funct_2(X3,X0,X1)
| ~ v1_funct_1(X3)
| ( r2_hidden(sK102(X0,X2,X3),X0)
& k1_funct_1(X3,sK102(X0,X2,X3)) != k1_funct_1(X2,sK102(X0,X2,X3)) )
| X2 = X3 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK102]),skolemize(X4,sK102(X0,X2,X3))],[f6923]) ).
fof(f9402,plain,
! [X0,X1,X2,X3] :
( ~ m2_relset_1(X3,X0,X1)
| ~ v1_funct_2(X3,X0,X1)
| ~ v1_funct_1(X3)
| ( k1_funct_1(X3,sK103(X0,X2,X3)) = X2
& r2_hidden(sK103(X0,X2,X3),X0) )
| k2_relat_1(X3) != X1
| ~ r2_hidden(X2,X1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK103]),skolemize(X4,sK103(X0,X2,X3))],[f6925]) ).
fof(f9403,plain,
! [X0,X1,X2] :
( ~ m2_relset_1(X2,X0,X1)
| ~ v1_funct_2(X2,X0,X1)
| ~ v1_funct_1(X2)
| ( ! [X4] :
( k1_funct_1(X2,X4) != sK104(X0,X1,X2)
| ~ r2_hidden(X4,X0) )
& r2_hidden(sK104(X0,X1,X2),X1) )
| k2_relat_1(X2) = X1
| X1 = k1_xboole_0 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK104]),skolemize(X3,sK104(X0,X1,X2))],[f6927]) ).
fof(f9404,plain,
! [X0,X1,X2] :
( ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| ( r2_hidden(sK105(X0,X1,X2),X0)
& ~ r2_hidden(k1_funct_1(X2,sK105(X0,X1,X2)),X1) )
| k1_relat_1(X2) != X0
| ( m2_relset_1(X2,X0,X1)
& v1_funct_2(X2,X0,X1)
& v1_funct_1(X2) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK105]),skolemize(X3,sK105(X0,X1,X2))],[f6933]) ).
fof(f9405,plain,
! [X0,X1] :
( ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ( ! [X3] :
( k1_funct_1(X1,X3) != sK106(X0,X1)
| ~ r2_hidden(X3,k1_relat_1(X1)) )
& r2_hidden(sK106(X0,X1),X0) )
| r1_tarski(X0,k2_relat_1(X1)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK106]),skolemize(X2,sK106(X0,X1))],[f6935]) ).
fof(f9406,plain,
! [X0] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ! [X1] :
( ( k2_relat_1(X0) != X1
| ! [X2] :
( ( ~ r2_hidden(X2,X1)
| ? [X3] :
( X2 = k1_funct_1(X0,X3)
& r2_hidden(X3,k1_relat_1(X0)) ) )
& ( ! [X3] :
( k1_funct_1(X0,X3) != X2
| ~ r2_hidden(X3,k1_relat_1(X0)) )
| r2_hidden(X2,X1) ) ) )
& ( ? [X2] :
( ( r2_hidden(X2,X1)
| ? [X3] :
( X2 = k1_funct_1(X0,X3)
& r2_hidden(X3,k1_relat_1(X0)) ) )
& ( ~ r2_hidden(X2,X1)
| ! [X3] :
( k1_funct_1(X0,X3) != X2
| ~ r2_hidden(X3,k1_relat_1(X0)) ) ) )
| X1 = k2_relat_1(X0) ) ) ),
inference(nnf_transformation,[],[f6939]) ).
fof(f9407,plain,
! [X0] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ! [X1] :
( ( k2_relat_1(X0) != X1
| ! [X5] :
( ( ~ r2_hidden(X5,X1)
| ? [X7] :
( k1_funct_1(X0,X7) = X5
& r2_hidden(X7,k1_relat_1(X0)) ) )
& ( ! [X6] :
( k1_funct_1(X0,X6) != X5
| ~ r2_hidden(X6,k1_relat_1(X0)) )
| r2_hidden(X5,X1) ) ) )
& ( ? [X2] :
( ( r2_hidden(X2,X1)
| ? [X4] :
( k1_funct_1(X0,X4) = X2
& r2_hidden(X4,k1_relat_1(X0)) ) )
& ( ~ r2_hidden(X2,X1)
| ! [X3] :
( k1_funct_1(X0,X3) != X2
| ~ r2_hidden(X3,k1_relat_1(X0)) ) ) )
| X1 = k2_relat_1(X0) ) ) ),
inference(rectify,[],[f9406]) ).
fof(f9408,plain,
! [X0] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ! [X1] :
( ( k2_relat_1(X0) != X1
| ! [X5] :
( ( ~ r2_hidden(X5,X1)
| ( k1_funct_1(X0,sK109(X0,X5)) = X5
& r2_hidden(sK109(X0,X5),k1_relat_1(X0)) ) )
& ( ! [X6] :
( k1_funct_1(X0,X6) != X5
| ~ r2_hidden(X6,k1_relat_1(X0)) )
| r2_hidden(X5,X1) ) ) )
& ( ( ( r2_hidden(sK107(X0,X1),X1)
| ( sK107(X0,X1) = k1_funct_1(X0,sK108(X0,X1))
& r2_hidden(sK108(X0,X1),k1_relat_1(X0)) ) )
& ( ~ r2_hidden(sK107(X0,X1),X1)
| ! [X3] :
( k1_funct_1(X0,X3) != sK107(X0,X1)
| ~ r2_hidden(X3,k1_relat_1(X0)) ) ) )
| X1 = k2_relat_1(X0) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK107,sK108,sK109]),skolemize(X2,sK107(X0,X1)),skolemize(X4,sK108(X0,X1)),skolemize(X7,sK109(X0,X5))],[f9407]) ).
fof(f9409,plain,
! [X0] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ! [X1] :
( ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ( r2_hidden(sK110(X0,X1),k1_relat_1(X0))
& k1_funct_1(X0,sK110(X0,X1)) != k1_funct_1(X1,sK110(X0,X1)) )
| k1_relat_1(X0) != k1_relat_1(X1)
| X0 = X1 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK110]),skolemize(X2,sK110(X0,X1))],[f6941]) ).
fof(f9410,plain,
! [X0,X1,X2] :
( ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| ( ( ~ r2_hidden(k4_tarski(X0,X1),X2)
| ( X1 = k1_funct_1(X2,X0)
& r2_hidden(X0,k1_relat_1(X2)) ) )
& ( k1_funct_1(X2,X0) != X1
| ~ r2_hidden(X0,k1_relat_1(X2))
| r2_hidden(k4_tarski(X0,X1),X2) ) ) ),
inference(nnf_transformation,[],[f6943]) ).
fof(f9411,plain,
! [X0,X1,X2] :
( ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| ( ( ~ r2_hidden(k4_tarski(X0,X1),X2)
| ( X1 = k1_funct_1(X2,X0)
& r2_hidden(X0,k1_relat_1(X2)) ) )
& ( k1_funct_1(X2,X0) != X1
| ~ r2_hidden(X0,k1_relat_1(X2))
| r2_hidden(k4_tarski(X0,X1),X2) ) ) ),
inference(flattening,[],[f9410]) ).
fof(f9412,plain,
! [X0] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ! [X1,X2] :
( ( r2_hidden(X1,k1_relat_1(X0))
| ( ( k1_funct_1(X0,X1) != X2
| X2 = k1_xboole_0 )
& ( k1_xboole_0 != X2
| X2 = k1_funct_1(X0,X1) ) ) )
& ( ~ r2_hidden(X1,k1_relat_1(X0))
| ( ( k1_funct_1(X0,X1) != X2
| r2_hidden(k4_tarski(X1,X2),X0) )
& ( ~ r2_hidden(k4_tarski(X1,X2),X0)
| X2 = k1_funct_1(X0,X1) ) ) ) ) ),
inference(nnf_transformation,[],[f6945]) ).
fof(f9413,plain,
! [X0] :
( ( v1_funct_1(sK111(X0))
& v1_relat_1(sK111(X0))
& v1_funct_1(sK112(X0))
& v1_relat_1(sK112(X0))
& k1_relat_1(sK112(X0)) = X0
& k1_relat_1(sK111(X0)) = X0
& sK111(X0) != sK112(X0) )
| X0 = k1_xboole_0 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK111,sK112]),skolemize(X1,sK111(X0)),skolemize(X2,sK112(X0))],[f6963]) ).
fof(f9414,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ( m1_subset_1(sK113(X0,X1),X0)
& r2_hidden(sK113(X0,X1),X1) )
| k1_xboole_0 = X1 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK113]),skolemize(X2,sK113(X0,X1))],[f6965]) ).
fof(f9415,plain,
! [X0] :
( ( k1_xboole_0 != X0
| ! [X1] : ~ r2_hidden(X1,X0) )
& ( ? [X1] : r2_hidden(X1,X0)
| X0 = k1_xboole_0 ) ),
inference(nnf_transformation,[],[f29]) ).
fof(f9416,plain,
! [X0] :
( ( k1_xboole_0 != X0
| ! [X2] : ~ r2_hidden(X2,X0) )
& ( ? [X1] : r2_hidden(X1,X0)
| X0 = k1_xboole_0 ) ),
inference(rectify,[],[f9415]) ).
fof(f9417,plain,
! [X0] :
( ( k1_xboole_0 != X0
| ! [X2] : ~ r2_hidden(X2,X0) )
& ( r2_hidden(sK114(X0),X0)
| X0 = k1_xboole_0 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK114]),skolemize(X1,sK114(X0))],[f9416]) ).
fof(f9418,plain,
! [X0,X1] :
( ( v1_funct_1(sK115(X0,X1))
& v1_relat_1(sK115(X0,X1))
& r1_tarski(k2_relat_1(sK115(X0,X1)),X0)
& k1_relat_1(sK115(X0,X1)) = X1 )
| ( X1 != k1_xboole_0
& X0 = k1_xboole_0 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK115]),skolemize(X2,sK115(X0,X1))],[f6990]) ).
fof(f9419,plain,
! [X0] :
( ~ v1_relat_1(X0)
| ( ( k1_xboole_0 != k1_relat_1(X0)
| k2_relat_1(X0) = k1_xboole_0 )
& ( k1_xboole_0 != k2_relat_1(X0)
| k1_relat_1(X0) = k1_xboole_0 ) ) ),
inference(nnf_transformation,[],[f6991]) ).
fof(f9420,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| r2_hidden(sK116(X1),k1_relat_1(X1))
| ~ r2_hidden(X0,k2_relat_1(X1)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK116]),skolemize(X2,sK116(X1))],[f7001]) ).
fof(f9421,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| r2_hidden(sK117(X1),k2_relat_1(X1))
| ~ r2_hidden(X0,k1_relat_1(X1)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK117]),skolemize(X2,sK117(X1))],[f7003]) ).
fof(f9422,plain,
! [X0] :
( ~ v1_relat_1(X0)
| ! [X1] :
( ( k2_relat_1(X0) != X1
| ! [X2] :
( ( ~ r2_hidden(X2,X1)
| ? [X3] : r2_hidden(k4_tarski(X3,X2),X0) )
& ( ! [X3] : ~ r2_hidden(k4_tarski(X3,X2),X0)
| r2_hidden(X2,X1) ) ) )
& ( ? [X2] :
( ( r2_hidden(X2,X1)
| ? [X3] : r2_hidden(k4_tarski(X3,X2),X0) )
& ( ~ r2_hidden(X2,X1)
| ! [X3] : ~ r2_hidden(k4_tarski(X3,X2),X0) ) )
| X1 = k2_relat_1(X0) ) ) ),
inference(nnf_transformation,[],[f7004]) ).
fof(f9423,plain,
! [X0] :
( ~ v1_relat_1(X0)
| ! [X1] :
( ( k2_relat_1(X0) != X1
| ! [X5] :
( ( ~ r2_hidden(X5,X1)
| ? [X7] : r2_hidden(k4_tarski(X7,X5),X0) )
& ( ! [X6] : ~ r2_hidden(k4_tarski(X6,X5),X0)
| r2_hidden(X5,X1) ) ) )
& ( ? [X2] :
( ( r2_hidden(X2,X1)
| ? [X4] : r2_hidden(k4_tarski(X4,X2),X0) )
& ( ~ r2_hidden(X2,X1)
| ! [X3] : ~ r2_hidden(k4_tarski(X3,X2),X0) ) )
| X1 = k2_relat_1(X0) ) ) ),
inference(rectify,[],[f9422]) ).
fof(f9424,plain,
! [X0] :
( ~ v1_relat_1(X0)
| ! [X1] :
( ( k2_relat_1(X0) != X1
| ! [X5] :
( ( ~ r2_hidden(X5,X1)
| r2_hidden(k4_tarski(sK120(X0,X5),X5),X0) )
& ( ! [X6] : ~ r2_hidden(k4_tarski(X6,X5),X0)
| r2_hidden(X5,X1) ) ) )
& ( ( ( r2_hidden(sK118(X0,X1),X1)
| r2_hidden(k4_tarski(sK119(X0,X1),sK118(X0,X1)),X0) )
& ( ~ r2_hidden(sK118(X0,X1),X1)
| ! [X3] : ~ r2_hidden(k4_tarski(X3,sK118(X0,X1)),X0) ) )
| X1 = k2_relat_1(X0) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK118,sK119,sK120]),skolemize(X2,sK118(X0,X1)),skolemize(X4,sK119(X0,X1)),skolemize(X7,sK120(X0,X5))],[f9423]) ).
fof(f9425,plain,
( v1_funct_1(sK121)
& v1_relat_1(sK121) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK121]),skolemize(X0,sK121)],[f914]) ).
fof(f9426,plain,
! [X0,X1,X2,X3] :
( ( m1_subset_1(sK122(X0,X1,X3),X0)
& m1_subset_1(sK123(X0,X1,X3),X1)
& k4_tarski(sK122(X0,X1,X3),sK123(X0,X1,X3)) = X3 )
| ~ r1_tarski(X2,k2_zfmisc_1(X0,X1))
| ~ r2_hidden(X3,X2) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK122,sK123]),skolemize(X4,sK122(X0,X1,X3)),skolemize(X5,sK123(X0,X1,X3))],[f7013]) ).
fof(f9427,plain,
! [X0] :
( r1_tarski(X0,k2_zfmisc_1(sK125(X0),sK126(X0)))
| ( ! [X2,X3] : k4_tarski(X2,X3) != sK124(X0)
& r2_hidden(sK124(X0),X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK124,sK125,sK126]),skolemize(X1,sK124(X0)),skolemize(X4,sK125(X0)),skolemize(X5,sK126(X0))],[f7014]) ).
fof(f9428,plain,
! [X0] :
( ( ! [X2,X3] :
( k4_tarski(X2,X3) != sK127(X0)
| ( ~ r2_hidden(X3,X0)
& ~ r2_hidden(X2,X0) ) )
& r2_hidden(sK127(X0),X0) )
| k1_xboole_0 = X0 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK127]),skolemize(X1,sK127(X0))],[f7015]) ).
fof(f9429,plain,
! [X0,X1,X2,X3] :
( ~ m2_relset_1(X3,X0,X1)
| ( r2_hidden(sK129(X0,X1,X2),X1)
& r2_hidden(sK128(X0,X1,X2),X0)
& k4_tarski(sK128(X0,X1,X2),sK129(X0,X1,X2)) = X2 )
| ~ r2_hidden(X2,X3) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK128,sK129]),skolemize(X4,sK128(X0,X1,X2)),skolemize(X5,sK129(X0,X1,X2))],[f7017]) ).
fof(f9433,plain,
! [X0] :
( sP9(X0)
| ( ! [X2,X3] : k4_tarski(X2,X3) != sK133(X0)
& r2_hidden(sK133(X0),X0) )
| ( v1_funct_1(X0)
& v1_relat_1(X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK133]),skolemize(X1,sK133(X0))],[f9225]) ).
fof(f9434,plain,
! [X0] :
( ( ~ v1_funct_1(X0)
| ! [X1,X2,X3] :
( ~ r2_hidden(k4_tarski(X1,X3),X0)
| ~ r2_hidden(k4_tarski(X1,X2),X0)
| X2 = X3 ) )
& ( ? [X1,X2,X3] :
( r2_hidden(k4_tarski(X1,X3),X0)
& r2_hidden(k4_tarski(X1,X2),X0)
& X2 != X3 )
| v1_funct_1(X0) ) ),
inference(nnf_transformation,[],[f7021]) ).
fof(f9435,plain,
! [X0] :
( ( ~ v1_funct_1(X0)
| ! [X4,X5,X6] :
( ~ r2_hidden(k4_tarski(X4,X6),X0)
| ~ r2_hidden(k4_tarski(X4,X5),X0)
| X5 = X6 ) )
& ( ? [X1,X2,X3] :
( r2_hidden(k4_tarski(X1,X3),X0)
& r2_hidden(k4_tarski(X1,X2),X0)
& X2 != X3 )
| v1_funct_1(X0) ) ),
inference(rectify,[],[f9434]) ).
fof(f9436,plain,
! [X0] :
( ( ~ v1_funct_1(X0)
| ! [X4,X5,X6] :
( ~ r2_hidden(k4_tarski(X4,X6),X0)
| ~ r2_hidden(k4_tarski(X4,X5),X0)
| X5 = X6 ) )
& ( ( r2_hidden(k4_tarski(sK134(X0),sK136(X0)),X0)
& r2_hidden(k4_tarski(sK134(X0),sK135(X0)),X0)
& sK135(X0) != sK136(X0) )
| v1_funct_1(X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK134,sK135,sK136]),skolemize(X1,sK134(X0)),skolemize(X2,sK135(X0)),skolemize(X3,sK136(X0))],[f9435]) ).
fof(f9437,plain,
! [X0] :
( ~ v1_relat_1(X0)
| r2_hidden(k4_tarski(sK137(X0),sK138(X0)),X0)
| X0 = k1_xboole_0 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK137,sK138]),skolemize(X1,sK137(X0)),skolemize(X2,sK138(X0))],[f7023]) ).
fof(f9438,plain,
! [X0] :
( ~ v1_relat_1(X0)
| ! [X1] :
( ( k1_relat_1(X0) != X1
| ! [X2] :
( ( ~ r2_hidden(X2,X1)
| ? [X3] : r2_hidden(k4_tarski(X2,X3),X0) )
& ( ! [X3] : ~ r2_hidden(k4_tarski(X2,X3),X0)
| r2_hidden(X2,X1) ) ) )
& ( ? [X2] :
( ( r2_hidden(X2,X1)
| ? [X3] : r2_hidden(k4_tarski(X2,X3),X0) )
& ( ~ r2_hidden(X2,X1)
| ! [X3] : ~ r2_hidden(k4_tarski(X2,X3),X0) ) )
| X1 = k1_relat_1(X0) ) ) ),
inference(nnf_transformation,[],[f7024]) ).
fof(f9439,plain,
! [X0] :
( ~ v1_relat_1(X0)
| ! [X1] :
( ( k1_relat_1(X0) != X1
| ! [X5] :
( ( ~ r2_hidden(X5,X1)
| ? [X7] : r2_hidden(k4_tarski(X5,X7),X0) )
& ( ! [X6] : ~ r2_hidden(k4_tarski(X5,X6),X0)
| r2_hidden(X5,X1) ) ) )
& ( ? [X2] :
( ( r2_hidden(X2,X1)
| ? [X4] : r2_hidden(k4_tarski(X2,X4),X0) )
& ( ~ r2_hidden(X2,X1)
| ! [X3] : ~ r2_hidden(k4_tarski(X2,X3),X0) ) )
| X1 = k1_relat_1(X0) ) ) ),
inference(rectify,[],[f9438]) ).
fof(f9440,plain,
! [X0] :
( ~ v1_relat_1(X0)
| ! [X1] :
( ( k1_relat_1(X0) != X1
| ! [X5] :
( ( ~ r2_hidden(X5,X1)
| r2_hidden(k4_tarski(X5,sK141(X0,X5)),X0) )
& ( ! [X6] : ~ r2_hidden(k4_tarski(X5,X6),X0)
| r2_hidden(X5,X1) ) ) )
& ( ( ( r2_hidden(sK139(X0,X1),X1)
| r2_hidden(k4_tarski(sK139(X0,X1),sK140(X0,X1)),X0) )
& ( ~ r2_hidden(sK139(X0,X1),X1)
| ! [X3] : ~ r2_hidden(k4_tarski(sK139(X0,X1),X3),X0) ) )
| X1 = k1_relat_1(X0) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK139,sK140,sK141]),skolemize(X2,sK139(X0,X1)),skolemize(X4,sK140(X0,X1)),skolemize(X7,sK141(X0,X5))],[f9439]) ).
fof(f9441,plain,
! [X0] :
( ~ v1_relat_1(X0)
| ! [X1] :
( ~ v1_relat_1(X1)
| ( ( ~ r1_tarski(X0,X1)
| ! [X2,X3] :
( ~ r2_hidden(k4_tarski(X2,X3),X0)
| r2_hidden(k4_tarski(X2,X3),X1) ) )
& ( ? [X2,X3] :
( r2_hidden(k4_tarski(X2,X3),X0)
& ~ r2_hidden(k4_tarski(X2,X3),X1) )
| r1_tarski(X0,X1) ) ) ) ),
inference(nnf_transformation,[],[f7025]) ).
fof(f9442,plain,
! [X0] :
( ~ v1_relat_1(X0)
| ! [X1] :
( ~ v1_relat_1(X1)
| ( ( ~ r1_tarski(X0,X1)
| ! [X4,X5] :
( ~ r2_hidden(k4_tarski(X4,X5),X0)
| r2_hidden(k4_tarski(X4,X5),X1) ) )
& ( ? [X2,X3] :
( r2_hidden(k4_tarski(X2,X3),X0)
& ~ r2_hidden(k4_tarski(X2,X3),X1) )
| r1_tarski(X0,X1) ) ) ) ),
inference(rectify,[],[f9441]) ).
fof(f9443,plain,
! [X0] :
( ~ v1_relat_1(X0)
| ! [X1] :
( ~ v1_relat_1(X1)
| ( ( ~ r1_tarski(X0,X1)
| ! [X4,X5] :
( ~ r2_hidden(k4_tarski(X4,X5),X0)
| r2_hidden(k4_tarski(X4,X5),X1) ) )
& ( ( r2_hidden(k4_tarski(sK142(X0,X1),sK143(X0,X1)),X0)
& ~ r2_hidden(k4_tarski(sK142(X0,X1),sK143(X0,X1)),X1) )
| r1_tarski(X0,X1) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK142,sK143]),skolemize(X2,sK142(X0,X1)),skolemize(X3,sK143(X0,X1))],[f9442]) ).
fof(f9444,plain,
! [X0] :
( ~ v1_relat_1(X0)
| ! [X1] :
( ~ v1_relat_1(X1)
| ( ( X0 != X1
| ! [X2,X3] :
( ( ~ r2_hidden(k4_tarski(X2,X3),X0)
| r2_hidden(k4_tarski(X2,X3),X1) )
& ( ~ r2_hidden(k4_tarski(X2,X3),X1)
| r2_hidden(k4_tarski(X2,X3),X0) ) ) )
& ( ? [X2,X3] :
( ( r2_hidden(k4_tarski(X2,X3),X0)
| r2_hidden(k4_tarski(X2,X3),X1) )
& ( ~ r2_hidden(k4_tarski(X2,X3),X0)
| ~ r2_hidden(k4_tarski(X2,X3),X1) ) )
| X0 = X1 ) ) ) ),
inference(nnf_transformation,[],[f7026]) ).
fof(f9445,plain,
! [X0] :
( ~ v1_relat_1(X0)
| ! [X1] :
( ~ v1_relat_1(X1)
| ( ( X0 != X1
| ! [X4,X5] :
( ( ~ r2_hidden(k4_tarski(X4,X5),X0)
| r2_hidden(k4_tarski(X4,X5),X1) )
& ( ~ r2_hidden(k4_tarski(X4,X5),X1)
| r2_hidden(k4_tarski(X4,X5),X0) ) ) )
& ( ? [X2,X3] :
( ( r2_hidden(k4_tarski(X2,X3),X0)
| r2_hidden(k4_tarski(X2,X3),X1) )
& ( ~ r2_hidden(k4_tarski(X2,X3),X0)
| ~ r2_hidden(k4_tarski(X2,X3),X1) ) )
| X0 = X1 ) ) ) ),
inference(rectify,[],[f9444]) ).
fof(f9446,plain,
! [X0] :
( ~ v1_relat_1(X0)
| ! [X1] :
( ~ v1_relat_1(X1)
| ( ( X0 != X1
| ! [X4,X5] :
( ( ~ r2_hidden(k4_tarski(X4,X5),X0)
| r2_hidden(k4_tarski(X4,X5),X1) )
& ( ~ r2_hidden(k4_tarski(X4,X5),X1)
| r2_hidden(k4_tarski(X4,X5),X0) ) ) )
& ( ( ( r2_hidden(k4_tarski(sK144(X0,X1),sK145(X0,X1)),X0)
| r2_hidden(k4_tarski(sK144(X0,X1),sK145(X0,X1)),X1) )
& ( ~ r2_hidden(k4_tarski(sK144(X0,X1),sK145(X0,X1)),X0)
| ~ r2_hidden(k4_tarski(sK144(X0,X1),sK145(X0,X1)),X1) ) )
| X0 = X1 ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK144,sK145]),skolemize(X2,sK144(X0,X1)),skolemize(X3,sK145(X0,X1))],[f9445]) ).
fof(f9447,plain,
! [X0] :
( ( ~ v1_relat_1(X0)
| ! [X1] :
( ? [X2,X3] : k4_tarski(X2,X3) = X1
| ~ r2_hidden(X1,X0) ) )
& ( ? [X1] :
( ! [X2,X3] : k4_tarski(X2,X3) != X1
& r2_hidden(X1,X0) )
| v1_relat_1(X0) ) ),
inference(nnf_transformation,[],[f7027]) ).
fof(f9448,plain,
! [X0] :
( ( ~ v1_relat_1(X0)
| ! [X4] :
( ? [X5,X6] : k4_tarski(X5,X6) = X4
| ~ r2_hidden(X4,X0) ) )
& ( ? [X1] :
( ! [X2,X3] : k4_tarski(X2,X3) != X1
& r2_hidden(X1,X0) )
| v1_relat_1(X0) ) ),
inference(rectify,[],[f9447]) ).
fof(f9449,plain,
! [X0] :
( ( ~ v1_relat_1(X0)
| ! [X4] :
( k4_tarski(sK147(X4),sK148(X4)) = X4
| ~ r2_hidden(X4,X0) ) )
& ( ( ! [X2,X3] : k4_tarski(X2,X3) != sK146(X0)
& r2_hidden(sK146(X0),X0) )
| v1_relat_1(X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK146,sK147,sK148]),skolemize(X1,sK146(X0)),skolemize(X5,sK147(X4)),skolemize(X6,sK148(X4))],[f9448]) ).
fof(f9450,plain,
! [X0,X1] :
( ? [X8,X9] :
( ( r2_hidden(k4_tarski(X8,X9),X0)
| r2_hidden(k4_tarski(X8,X9),X1) )
& ( ~ r2_hidden(k4_tarski(X8,X9),X0)
| ~ r2_hidden(k4_tarski(X8,X9),X1) ) )
| ? [X5] :
( ! [X6,X7] : k4_tarski(X6,X7) != X5
& r2_hidden(X5,X1) )
| ? [X2] :
( ! [X3,X4] : X2 != k4_tarski(X3,X4)
& r2_hidden(X2,X0) )
| X0 = X1 ),
inference(nnf_transformation,[],[f7029]) ).
fof(f9451,plain,
! [X0,X1] :
( ( ( r2_hidden(k4_tarski(sK151(X0,X1),sK152(X0,X1)),X0)
| r2_hidden(k4_tarski(sK151(X0,X1),sK152(X0,X1)),X1) )
& ( ~ r2_hidden(k4_tarski(sK151(X0,X1),sK152(X0,X1)),X0)
| ~ r2_hidden(k4_tarski(sK151(X0,X1),sK152(X0,X1)),X1) ) )
| ( ! [X6,X7] : k4_tarski(X6,X7) != sK150(X1)
& r2_hidden(sK150(X1),X1) )
| ( ! [X3,X4] : k4_tarski(X3,X4) != sK149(X0)
& r2_hidden(sK149(X0),X0) )
| X0 = X1 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK149,sK150,sK151,sK152]),skolemize(X2,sK149(X0)),skolemize(X5,sK150(X1)),skolemize(X8,sK151(X0,X1)),skolemize(X9,sK152(X0,X1))],[f9450]) ).
fof(f9452,plain,
! [X0,X1] :
( ( r2_hidden(k4_tarski(sK154(X0,X1),sK155(X0,X1)),X0)
& ~ r2_hidden(k4_tarski(sK154(X0,X1),sK155(X0,X1)),X1) )
| ( ! [X3,X4] : k4_tarski(X3,X4) != sK153(X0)
& r2_hidden(sK153(X0),X0) )
| r1_tarski(X0,X1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK153,sK154,sK155]),skolemize(X2,sK153(X0)),skolemize(X5,sK154(X0,X1)),skolemize(X6,sK155(X0,X1))],[f7031]) ).
fof(f9453,plain,
! [X0,X1,X2,X3,X4,X5] :
( ? [X6,X7] :
( ( r2_hidden(k4_tarski(X6,X7),X0)
| r2_hidden(k4_tarski(X6,X7),X3) )
& ( ~ r2_hidden(k4_tarski(X6,X7),X0)
| ~ r2_hidden(k4_tarski(X6,X7),X3) ) )
| ~ r1_tarski(X3,k2_zfmisc_1(X4,X5))
| ~ r1_tarski(X0,k2_zfmisc_1(X1,X2))
| X0 = X3 ),
inference(nnf_transformation,[],[f7033]) ).
fof(f9454,plain,
! [X0,X1,X2,X3,X4,X5] :
( ( ( r2_hidden(k4_tarski(sK156(X0,X3),sK157(X0,X3)),X0)
| r2_hidden(k4_tarski(sK156(X0,X3),sK157(X0,X3)),X3) )
& ( ~ r2_hidden(k4_tarski(sK156(X0,X3),sK157(X0,X3)),X0)
| ~ r2_hidden(k4_tarski(sK156(X0,X3),sK157(X0,X3)),X3) ) )
| ~ r1_tarski(X3,k2_zfmisc_1(X4,X5))
| ~ r1_tarski(X0,k2_zfmisc_1(X1,X2))
| X0 = X3 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK156,sK157]),skolemize(X6,sK156(X0,X3)),skolemize(X7,sK157(X0,X3))],[f9453]) ).
fof(f9455,plain,
! [X0,X1,X2,X3] :
( ( r2_hidden(k4_tarski(sK158(X0,X3),sK159(X0,X3)),X0)
& ~ r2_hidden(k4_tarski(sK158(X0,X3),sK159(X0,X3)),X3) )
| ~ r1_tarski(X0,k2_zfmisc_1(X1,X2))
| r1_tarski(X0,X3) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK158,sK159]),skolemize(X4,sK158(X0,X3)),skolemize(X5,sK159(X0,X3))],[f7035]) ).
fof(f9456,plain,
! [X0,X1,X2,X3] :
( ? [X4,X5] :
( ( r2_hidden(k4_tarski(X4,X5),k2_zfmisc_1(X0,X1))
| r2_hidden(k4_tarski(X4,X5),k2_zfmisc_1(X2,X3)) )
& ( ~ r2_hidden(k4_tarski(X4,X5),k2_zfmisc_1(X0,X1))
| ~ r2_hidden(k4_tarski(X4,X5),k2_zfmisc_1(X2,X3)) ) )
| k2_zfmisc_1(X0,X1) = k2_zfmisc_1(X2,X3) ),
inference(nnf_transformation,[],[f7036]) ).
fof(f9457,plain,
! [X0,X1,X2,X3] :
( ( ( r2_hidden(k4_tarski(sK160(X0,X1,X2,X3),sK161(X0,X1,X2,X3)),k2_zfmisc_1(X0,X1))
| r2_hidden(k4_tarski(sK160(X0,X1,X2,X3),sK161(X0,X1,X2,X3)),k2_zfmisc_1(X2,X3)) )
& ( ~ r2_hidden(k4_tarski(sK160(X0,X1,X2,X3),sK161(X0,X1,X2,X3)),k2_zfmisc_1(X0,X1))
| ~ r2_hidden(k4_tarski(sK160(X0,X1,X2,X3),sK161(X0,X1,X2,X3)),k2_zfmisc_1(X2,X3)) ) )
| k2_zfmisc_1(X0,X1) = k2_zfmisc_1(X2,X3) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK160,sK161]),skolemize(X4,sK160(X0,X1,X2,X3)),skolemize(X5,sK161(X0,X1,X2,X3))],[f9456]) ).
fof(f9458,plain,
! [X0,X1,X2,X3] :
( ( ~ r2_hidden(k4_tarski(X0,X1),k2_zfmisc_1(X2,X3))
| ( r2_hidden(X1,X3)
& r2_hidden(X0,X2) ) )
& ( ~ r2_hidden(X1,X3)
| ~ r2_hidden(X0,X2)
| r2_hidden(k4_tarski(X0,X1),k2_zfmisc_1(X2,X3)) ) ),
inference(nnf_transformation,[],[f431]) ).
fof(f9459,plain,
! [X0,X1,X2,X3] :
( ( ~ r2_hidden(k4_tarski(X0,X1),k2_zfmisc_1(X2,X3))
| ( r2_hidden(X1,X3)
& r2_hidden(X0,X2) ) )
& ( ~ r2_hidden(X1,X3)
| ~ r2_hidden(X0,X2)
| r2_hidden(k4_tarski(X0,X1),k2_zfmisc_1(X2,X3)) ) ),
inference(flattening,[],[f9458]) ).
fof(f9460,plain,
! [X0,X1,X2,X3] :
( ( k4_tarski(sK162(X1,X2,X3),sK163(X1,X2,X3)) = X3
& r2_hidden(sK163(X1,X2,X3),X2)
& r2_hidden(sK162(X1,X2,X3),X1) )
| ~ r2_hidden(X3,X0)
| ~ r1_tarski(X0,k2_zfmisc_1(X1,X2)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK162,sK163]),skolemize(X4,sK162(X1,X2,X3)),skolemize(X5,sK163(X1,X2,X3))],[f7038]) ).
fof(f9461,plain,
! [X0,X1,X2] :
( k4_tarski(sK164(X0),sK165(X0)) = X0
| ~ r2_hidden(X0,k2_zfmisc_1(X1,X2)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK164,sK165]),skolemize(X3,sK164(X0)),skolemize(X4,sK165(X0))],[f7039]) ).
fof(f9462,plain,
! [X0,X1,X2] :
( ( k2_zfmisc_1(X0,X1) != X2
| ! [X3] :
( ( ~ r2_hidden(X3,X2)
| ? [X4,X5] :
( X3 = k4_tarski(X4,X5)
& r2_hidden(X5,X1)
& r2_hidden(X4,X0) ) )
& ( ! [X4,X5] :
( k4_tarski(X4,X5) != X3
| ~ r2_hidden(X5,X1)
| ~ r2_hidden(X4,X0) )
| r2_hidden(X3,X2) ) ) )
& ( ? [X3] :
( ( r2_hidden(X3,X2)
| ? [X4,X5] :
( X3 = k4_tarski(X4,X5)
& r2_hidden(X5,X1)
& r2_hidden(X4,X0) ) )
& ( ~ r2_hidden(X3,X2)
| ! [X4,X5] :
( k4_tarski(X4,X5) != X3
| ~ r2_hidden(X5,X1)
| ~ r2_hidden(X4,X0) ) ) )
| X2 = k2_zfmisc_1(X0,X1) ) ),
inference(nnf_transformation,[],[f323]) ).
fof(f9463,plain,
! [X0,X1,X2] :
( ( k2_zfmisc_1(X0,X1) != X2
| ! [X8] :
( ( ~ r2_hidden(X8,X2)
| ? [X11,X12] :
( k4_tarski(X11,X12) = X8
& r2_hidden(X12,X1)
& r2_hidden(X11,X0) ) )
& ( ! [X9,X10] :
( k4_tarski(X9,X10) != X8
| ~ r2_hidden(X10,X1)
| ~ r2_hidden(X9,X0) )
| r2_hidden(X8,X2) ) ) )
& ( ? [X3] :
( ( r2_hidden(X3,X2)
| ? [X6,X7] :
( k4_tarski(X6,X7) = X3
& r2_hidden(X7,X1)
& r2_hidden(X6,X0) ) )
& ( ~ r2_hidden(X3,X2)
| ! [X4,X5] :
( k4_tarski(X4,X5) != X3
| ~ r2_hidden(X5,X1)
| ~ r2_hidden(X4,X0) ) ) )
| X2 = k2_zfmisc_1(X0,X1) ) ),
inference(rectify,[],[f9462]) ).
fof(f9464,plain,
! [X0,X1,X2] :
( ( k2_zfmisc_1(X0,X1) != X2
| ! [X8] :
( ( ~ r2_hidden(X8,X2)
| ( k4_tarski(sK169(X0,X1,X8),sK170(X0,X1,X8)) = X8
& r2_hidden(sK170(X0,X1,X8),X1)
& r2_hidden(sK169(X0,X1,X8),X0) ) )
& ( ! [X9,X10] :
( k4_tarski(X9,X10) != X8
| ~ r2_hidden(X10,X1)
| ~ r2_hidden(X9,X0) )
| r2_hidden(X8,X2) ) ) )
& ( ( ( r2_hidden(sK166(X0,X1,X2),X2)
| ( sK166(X0,X1,X2) = k4_tarski(sK167(X0,X1,X2),sK168(X0,X1,X2))
& r2_hidden(sK168(X0,X1,X2),X1)
& r2_hidden(sK167(X0,X1,X2),X0) ) )
& ( ~ r2_hidden(sK166(X0,X1,X2),X2)
| ! [X4,X5] :
( k4_tarski(X4,X5) != sK166(X0,X1,X2)
| ~ r2_hidden(X5,X1)
| ~ r2_hidden(X4,X0) ) ) )
| X2 = k2_zfmisc_1(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK166,sK167,sK168,sK169,sK170]),skolemize(X3,sK166(X0,X1,X2)),skolemize(X6,sK167(X0,X1,X2)),skolemize(X7,sK168(X0,X1,X2)),skolemize(X11,sK169(X0,X1,X8)),skolemize(X12,sK170(X0,X1,X8))],[f9463]) ).
fof(f9465,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(X0)))
| ! [X2] :
( ~ m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(X0)))
| ? [X3] :
( m1_subset_1(X3,k1_zfmisc_1(X0))
& ( r2_hidden(X3,X1)
| r2_hidden(X3,X2) )
& ( ~ r2_hidden(X3,X1)
| ~ r2_hidden(X3,X2) ) )
| X1 = X2 ) ),
inference(nnf_transformation,[],[f7044]) ).
fof(f9466,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(X0)))
| ! [X2] :
( ~ m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(X0)))
| ? [X3] :
( m1_subset_1(X3,k1_zfmisc_1(X0))
& ( r2_hidden(X3,X1)
| r2_hidden(X3,X2) )
& ( ~ r2_hidden(X3,X1)
| ~ r2_hidden(X3,X2) ) )
| X1 = X2 ) ),
inference(flattening,[],[f9465]) ).
fof(f9467,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(X0)))
| ! [X2] :
( ~ m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(X0)))
| ( m1_subset_1(sK171(X0,X1,X2),k1_zfmisc_1(X0))
& ( r2_hidden(sK171(X0,X1,X2),X1)
| r2_hidden(sK171(X0,X1,X2),X2) )
& ( ~ r2_hidden(sK171(X0,X1,X2),X1)
| ~ r2_hidden(sK171(X0,X1,X2),X2) ) )
| X1 = X2 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK171]),skolemize(X3,sK171(X0,X1,X2))],[f9466]) ).
fof(f9468,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ( m1_subset_1(sK172(X0,X1),X0)
& ~ r2_hidden(sK172(X0,X1),X1) )
| X0 = X1 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK172]),skolemize(X2,sK172(X0,X1))],[f7046]) ).
fof(f9469,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ! [X2] :
( ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ? [X3] :
( m1_subset_1(X3,X0)
& ( r2_hidden(X3,X1)
| r2_hidden(X3,X2) )
& ( ~ r2_hidden(X3,X1)
| ~ r2_hidden(X3,X2) ) )
| X1 = X2 ) ),
inference(nnf_transformation,[],[f7048]) ).
fof(f9470,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ! [X2] :
( ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ? [X3] :
( m1_subset_1(X3,X0)
& ( r2_hidden(X3,X1)
| r2_hidden(X3,X2) )
& ( ~ r2_hidden(X3,X1)
| ~ r2_hidden(X3,X2) ) )
| X1 = X2 ) ),
inference(flattening,[],[f9469]) ).
fof(f9471,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ! [X2] :
( ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ( m1_subset_1(sK173(X0,X1,X2),X0)
& ( r2_hidden(sK173(X0,X1,X2),X1)
| r2_hidden(sK173(X0,X1,X2),X2) )
& ( ~ r2_hidden(sK173(X0,X1,X2),X1)
| ~ r2_hidden(sK173(X0,X1,X2),X2) ) )
| X1 = X2 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK173]),skolemize(X3,sK173(X0,X1,X2))],[f9470]) ).
fof(f9472,plain,
l1_group_1(sK174),
inference(skolemize,[status(esa),new_symbols(skolem,[sK174]),skolemize(X0,sK174)],[f5109]) ).
fof(f9473,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ( ( ~ r1_filter_1(X0,X1)
| ? [X2] :
( v3_lattice4(X2,X0,X1)
& m1_lattice4(X2,X0,X1) ) )
& ( ! [X2] :
( ~ v3_lattice4(X2,X0,X1)
| ~ m1_lattice4(X2,X0,X1) )
| r1_filter_1(X0,X1) ) ) ) ),
inference(nnf_transformation,[],[f7050]) ).
fof(f9474,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ( ( ~ r1_filter_1(X0,X1)
| ? [X3] :
( v3_lattice4(X3,X0,X1)
& m1_lattice4(X3,X0,X1) ) )
& ( ! [X2] :
( ~ v3_lattice4(X2,X0,X1)
| ~ m1_lattice4(X2,X0,X1) )
| r1_filter_1(X0,X1) ) ) ) ),
inference(rectify,[],[f9473]) ).
fof(f9475,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ( ( ~ r1_filter_1(X0,X1)
| ( v3_lattice4(sK175(X0,X1),X0,X1)
& m1_lattice4(sK175(X0,X1),X0,X1) ) )
& ( ! [X2] :
( ~ v3_lattice4(X2,X0,X1)
| ~ m1_lattice4(X2,X0,X1) )
| r1_filter_1(X0,X1) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK175]),skolemize(X3,sK175(X0,X1))],[f9474]) ).
fof(f9476,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ! [X2] :
( ~ m1_lattice4(X2,X0,X1)
| ( ( ~ v3_lattice4(X2,X0,X1)
| ( v2_lattice4(X2,X0,X1)
& v1_lattice4(X2,X0,X1) ) )
& ( ~ v2_lattice4(X2,X0,X1)
| ~ v1_lattice4(X2,X0,X1)
| v3_lattice4(X2,X0,X1) ) ) ) ) ),
inference(nnf_transformation,[],[f7052]) ).
fof(f9477,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ! [X2] :
( ~ m1_lattice4(X2,X0,X1)
| ( ( ~ v3_lattice4(X2,X0,X1)
| ( v2_lattice4(X2,X0,X1)
& v1_lattice4(X2,X0,X1) ) )
& ( ~ v2_lattice4(X2,X0,X1)
| ~ v1_lattice4(X2,X0,X1)
| v3_lattice4(X2,X0,X1) ) ) ) ) ),
inference(flattening,[],[f9476]) ).
fof(f9478,plain,
! [X0,X1] :
( ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| m1_lattice4(sK176(X0,X1),X0,X1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK176]),skolemize(X2,sK176(X0,X1))],[f7066]) ).
fof(f9479,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ! [X2] :
( ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X2)
| ( ( ~ m1_lattice4(X2,X0,X1)
| ! [X3] :
( ~ m1_subset_1(X3,u1_struct_0(X0))
| ! [X4] :
( ~ m1_subset_1(X4,u1_struct_0(X0))
| ( k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,k4_lattices(X0,X3,X4)) = k4_lattices(X1,k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,X3),k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,X4))
& k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,k3_lattices(X0,X3,X4)) = k3_lattices(X1,k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,X3),k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,X4)) ) ) ) )
& ( ? [X3] :
( m1_subset_1(X3,u1_struct_0(X0))
& ? [X4] :
( m1_subset_1(X4,u1_struct_0(X0))
& ( k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,k4_lattices(X0,X3,X4)) != k4_lattices(X1,k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,X3),k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,X4))
| k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,k3_lattices(X0,X3,X4)) != k3_lattices(X1,k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,X3),k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,X4)) ) ) )
| m1_lattice4(X2,X0,X1) ) ) ) ) ),
inference(nnf_transformation,[],[f7074]) ).
fof(f9480,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ! [X2] :
( ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X2)
| ( ( ~ m1_lattice4(X2,X0,X1)
| ! [X5] :
( ~ m1_subset_1(X5,u1_struct_0(X0))
| ! [X6] :
( ~ m1_subset_1(X6,u1_struct_0(X0))
| ( k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,k4_lattices(X0,X5,X6)) = k4_lattices(X1,k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,X5),k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,X6))
& k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,k3_lattices(X0,X5,X6)) = k3_lattices(X1,k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,X5),k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,X6)) ) ) ) )
& ( ? [X3] :
( m1_subset_1(X3,u1_struct_0(X0))
& ? [X4] :
( m1_subset_1(X4,u1_struct_0(X0))
& ( k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,k4_lattices(X0,X3,X4)) != k4_lattices(X1,k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,X3),k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,X4))
| k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,k3_lattices(X0,X3,X4)) != k3_lattices(X1,k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,X3),k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,X4)) ) ) )
| m1_lattice4(X2,X0,X1) ) ) ) ) ),
inference(rectify,[],[f9479]) ).
fof(f9481,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ! [X2] :
( ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X2)
| ( ( ~ m1_lattice4(X2,X0,X1)
| ! [X5] :
( ~ m1_subset_1(X5,u1_struct_0(X0))
| ! [X6] :
( ~ m1_subset_1(X6,u1_struct_0(X0))
| ( k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,k4_lattices(X0,X5,X6)) = k4_lattices(X1,k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,X5),k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,X6))
& k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,k3_lattices(X0,X5,X6)) = k3_lattices(X1,k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,X5),k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,X6)) ) ) ) )
& ( ( m1_subset_1(sK177(X0,X1,X2),u1_struct_0(X0))
& m1_subset_1(sK178(X0,X1,X2),u1_struct_0(X0))
& ( k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,k4_lattices(X0,sK177(X0,X1,X2),sK178(X0,X1,X2))) != k4_lattices(X1,k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,sK177(X0,X1,X2)),k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,sK178(X0,X1,X2)))
| k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,k3_lattices(X0,sK177(X0,X1,X2),sK178(X0,X1,X2))) != k3_lattices(X1,k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,sK177(X0,X1,X2)),k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,sK178(X0,X1,X2))) ) )
| m1_lattice4(X2,X0,X1) ) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK177,sK178]),skolemize(X3,sK177(X0,X1,X2)),skolemize(X4,sK178(X0,X1,X2))],[f9480]) ).
fof(f9482,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| m1_filter_0(sK179(X0),X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK179]),skolemize(X1,sK179(X0))],[f7076]) ).
fof(f9483,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_filter_0(X1,X0)
| ( r2_hidden(sK180(X0,X1),X1)
& m1_subset_1(sK180(X0,X1),u1_struct_0(X0)) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK180]),skolemize(X2,sK180(X0,X1))],[f7082]) ).
fof(f9484,plain,
! [X1,X0] :
( ~ sP11(X1,X0)
| ( ( ~ sP10(X0,X1)
| ( l3_lattices(k8_filter_1(X0,X1))
& v16_lattices(k8_filter_1(X0,X1))
& v15_lattices(k8_filter_1(X0,X1))
& v10_lattices(k8_filter_1(X0,X1))
& ~ v3_struct_0(k8_filter_1(X0,X1)) ) )
& ( ~ l3_lattices(k8_filter_1(X0,X1))
| ~ v16_lattices(k8_filter_1(X0,X1))
| ~ v15_lattices(k8_filter_1(X0,X1))
| ~ v10_lattices(k8_filter_1(X0,X1))
| v3_struct_0(k8_filter_1(X0,X1))
| sP10(X0,X1) ) ) ),
inference(nnf_transformation,[],[f9227]) ).
fof(f9485,plain,
! [X1,X0] :
( ~ sP11(X1,X0)
| ( ( ~ sP10(X0,X1)
| ( l3_lattices(k8_filter_1(X0,X1))
& v16_lattices(k8_filter_1(X0,X1))
& v15_lattices(k8_filter_1(X0,X1))
& v10_lattices(k8_filter_1(X0,X1))
& ~ v3_struct_0(k8_filter_1(X0,X1)) ) )
& ( ~ l3_lattices(k8_filter_1(X0,X1))
| ~ v16_lattices(k8_filter_1(X0,X1))
| ~ v15_lattices(k8_filter_1(X0,X1))
| ~ v10_lattices(k8_filter_1(X0,X1))
| v3_struct_0(k8_filter_1(X0,X1))
| sP10(X0,X1) ) ) ),
inference(flattening,[],[f9484]) ).
fof(f9486,plain,
! [X0,X1] :
( ~ sP11(X0,X1)
| ( ( ~ sP10(X1,X0)
| ( l3_lattices(k8_filter_1(X1,X0))
& v16_lattices(k8_filter_1(X1,X0))
& v15_lattices(k8_filter_1(X1,X0))
& v10_lattices(k8_filter_1(X1,X0))
& ~ v3_struct_0(k8_filter_1(X1,X0)) ) )
& ( ~ l3_lattices(k8_filter_1(X1,X0))
| ~ v16_lattices(k8_filter_1(X1,X0))
| ~ v15_lattices(k8_filter_1(X1,X0))
| ~ v10_lattices(k8_filter_1(X1,X0))
| v3_struct_0(k8_filter_1(X1,X0))
| sP10(X1,X0) ) ) ),
inference(rectify,[],[f9485]) ).
fof(f9494,plain,
( v17_lattices(sK181)
& v16_lattices(sK181)
& v15_lattices(sK181)
& v14_lattices(sK181)
& v13_lattices(sK181)
& v11_lattices(sK181)
& v10_lattices(sK181)
& v9_lattices(sK181)
& v8_lattices(sK181)
& v7_lattices(sK181)
& v6_lattices(sK181)
& v5_lattices(sK181)
& v4_lattices(sK181)
& v3_lattices(sK181)
& ~ v3_struct_0(sK181)
& l3_lattices(sK181) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK181]),skolemize(X0,sK181)],[f4499]) ).
fof(f9495,plain,
( v16_lattices(sK182)
& v15_lattices(sK182)
& v14_lattices(sK182)
& v13_lattices(sK182)
& v10_lattices(sK182)
& v9_lattices(sK182)
& v8_lattices(sK182)
& v7_lattices(sK182)
& v6_lattices(sK182)
& v5_lattices(sK182)
& v4_lattices(sK182)
& v3_lattices(sK182)
& ~ v3_struct_0(sK182)
& l3_lattices(sK182) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK182]),skolemize(X0,sK182)],[f4496]) ).
fof(f9496,plain,
( v15_lattices(sK183)
& v14_lattices(sK183)
& v13_lattices(sK183)
& v10_lattices(sK183)
& v9_lattices(sK183)
& v8_lattices(sK183)
& v7_lattices(sK183)
& v6_lattices(sK183)
& v5_lattices(sK183)
& v4_lattices(sK183)
& v3_lattices(sK183)
& ~ v3_struct_0(sK183)
& l3_lattices(sK183) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK183]),skolemize(X0,sK183)],[f4495]) ).
fof(f9497,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ( m1_subset_1(sK184(X0,X1),u1_struct_0(X0))
& sK184(X0,X1) != k2_binop_1(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),u1_lattices(X0),X1,sK184(X0,X1)) )
| X1 = k6_lattices(X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK184]),skolemize(X2,sK184(X0,X1))],[f7112]) ).
fof(f9498,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ( m1_subset_1(sK185(X0,X1),u1_struct_0(X0))
& sK185(X0,X1) != k4_lattices(X0,X1,sK185(X0,X1)) )
| X1 = k6_lattices(X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK185]),skolemize(X2,sK185(X0,X1))],[f7114]) ).
fof(f9499,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ( m1_subset_1(sK186(X0,X1),u1_struct_0(X0))
& sK186(X0,X1) != k2_binop_1(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),u2_lattices(X0),X1,sK186(X0,X1)) )
| X1 = k5_lattices(X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK186]),skolemize(X2,sK186(X0,X1))],[f7134]) ).
fof(f9500,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| ( ( ~ r3_lattices(X0,X1,X2)
| k4_lattices(X0,X1,k7_lattices(X0,X2)) = k5_lattices(X0) )
& ( k5_lattices(X0) != k4_lattices(X0,X1,k7_lattices(X0,X2))
| r3_lattices(X0,X1,X2) ) ) ) ) ),
inference(nnf_transformation,[],[f7136]) ).
fof(f9501,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| ( ( k5_lattices(X0) != k4_lattices(X0,X1,X2)
| r3_lattices(X0,X1,k7_lattices(X0,X2)) )
& ( ~ r3_lattices(X0,X1,k7_lattices(X0,X2))
| k4_lattices(X0,X1,X2) = k5_lattices(X0) ) ) ) ) ),
inference(nnf_transformation,[],[f7140]) ).
fof(f9502,plain,
! [X0] :
( v1_xboole_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,k5_finsub_1(X0))
| ! [X2] :
( ~ l3_lattices(X2)
| ~ v13_lattices(X2)
| ~ v11_lattices(X2)
| ~ v10_lattices(X2)
| v3_struct_0(X2)
| ! [X3] :
( ~ m2_relset_1(X3,X0,u1_struct_0(X2))
| ~ v1_funct_2(X3,X0,u1_struct_0(X2))
| ~ v1_funct_1(X3)
| ! [X4] :
( ~ m2_relset_1(X4,X0,u1_struct_0(X2))
| ~ v1_funct_2(X4,X0,u1_struct_0(X2))
| ~ v1_funct_1(X4)
| ! [X5] :
( ~ m1_subset_1(X5,u1_struct_0(X2))
| ( m1_subset_1(sK187(X0,X1,X2,X3,X4,X5),X0)
& r2_hidden(sK187(X0,X1,X2,X3,X4,X5),X1)
& k8_funct_2(X0,u1_struct_0(X2),X3,sK187(X0,X1,X2,X3,X4,X5)) != k4_lattices(X2,X5,k8_funct_2(X0,u1_struct_0(X2),X4,sK187(X0,X1,X2,X3,X4,X5))) )
| k4_lattices(X2,X5,k2_lattice2(X0,X2,X1,X4)) = k2_lattice2(X0,X2,X1,X3) ) ) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK187]),skolemize(X6,sK187(X0,X1,X2,X3,X4,X5))],[f7150]) ).
fof(f9503,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ( m1_subset_1(sK188(X0),u1_struct_0(X0))
& m1_subset_1(sK189(X0),u1_struct_0(X0))
& m1_subset_1(sK190(X0),u1_struct_0(X0))
& k3_lattices(X0,k3_lattices(X0,k4_lattices(X0,sK188(X0),sK189(X0)),k4_lattices(X0,sK189(X0),sK190(X0))),k4_lattices(X0,sK190(X0),sK188(X0))) != k4_lattices(X0,k4_lattices(X0,k3_lattices(X0,sK188(X0),sK189(X0)),k3_lattices(X0,sK189(X0),sK190(X0))),k3_lattices(X0,sK190(X0),sK188(X0))) )
| v11_lattices(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK188,sK189,sK190]),skolemize(X1,sK188(X0)),skolemize(X2,sK189(X0)),skolemize(X3,sK190(X0))],[f7160]) ).
fof(f9505,plain,
( v3_filter_0(sK191)
& v10_lattices(sK191)
& v9_lattices(sK191)
& v8_lattices(sK191)
& v7_lattices(sK191)
& v6_lattices(sK191)
& v5_lattices(sK191)
& v4_lattices(sK191)
& v3_lattices(sK191)
& ~ v3_struct_0(sK191)
& l3_lattices(sK191) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK191]),skolemize(X0,sK191)],[f5479]) ).
fof(f9506,plain,
( v10_lattices(sK192)
& v9_lattices(sK192)
& v8_lattices(sK192)
& v7_lattices(sK192)
& v6_lattices(sK192)
& v5_lattices(sK192)
& v4_lattices(sK192)
& v3_lattices(sK192)
& ~ v3_struct_0(sK192)
& l3_lattices(sK192) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK192]),skolemize(X0,sK192)],[f4491]) ).
fof(f9507,plain,
( v3_lattices(sK193)
& ~ v3_struct_0(sK193)
& l3_lattices(sK193) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK193]),skolemize(X0,sK193)],[f4486]) ).
fof(f9508,plain,
( v3_lattices(sK194)
& l3_lattices(sK194) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK194]),skolemize(X0,sK194)],[f4480]) ).
fof(f9511,plain,
! [X0] :
( ~ l3_lattices(X0)
| v3_realset2(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v1_xboole_0(X1)
| ( m1_subset_1(sK195(X0,X1),k5_finsub_1(u1_struct_0(X0)))
& ~ v1_xboole_0(sK195(X0,X1))
& k5_lattices(X0) = k2_lattice4(X0,sK195(X0,X1))
& r1_tarski(sK195(X0,X1),X1) )
| ~ r2_hidden(k5_lattices(X0),k3_filter_0(X0,X1)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK195]),skolemize(X2,sK195(X0,X1))],[f7220]) ).
fof(f9512,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v1_xboole_0(X1)
| ! [X2] :
( ~ m1_filter_0(X2,X0)
| ( ( k3_filter_0(X0,X1) != X2
| ( ! [X3] :
( ~ m1_filter_0(X3,X0)
| ~ r1_tarski(X1,X3)
| r1_tarski(X2,X3) )
& r1_tarski(X1,X2) ) )
& ( ? [X3] :
( m1_filter_0(X3,X0)
& r1_tarski(X1,X3)
& ~ r1_tarski(X2,X3) )
| ~ r1_tarski(X1,X2)
| X2 = k3_filter_0(X0,X1) ) ) ) ) ),
inference(nnf_transformation,[],[f7230]) ).
fof(f9513,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v1_xboole_0(X1)
| ! [X2] :
( ~ m1_filter_0(X2,X0)
| ( ( k3_filter_0(X0,X1) != X2
| ( ! [X3] :
( ~ m1_filter_0(X3,X0)
| ~ r1_tarski(X1,X3)
| r1_tarski(X2,X3) )
& r1_tarski(X1,X2) ) )
& ( ? [X3] :
( m1_filter_0(X3,X0)
& r1_tarski(X1,X3)
& ~ r1_tarski(X2,X3) )
| ~ r1_tarski(X1,X2)
| X2 = k3_filter_0(X0,X1) ) ) ) ) ),
inference(flattening,[],[f9512]) ).
fof(f9514,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v1_xboole_0(X1)
| ! [X2] :
( ~ m1_filter_0(X2,X0)
| ( ( k3_filter_0(X0,X1) != X2
| ( ! [X4] :
( ~ m1_filter_0(X4,X0)
| ~ r1_tarski(X1,X4)
| r1_tarski(X2,X4) )
& r1_tarski(X1,X2) ) )
& ( ? [X3] :
( m1_filter_0(X3,X0)
& r1_tarski(X1,X3)
& ~ r1_tarski(X2,X3) )
| ~ r1_tarski(X1,X2)
| X2 = k3_filter_0(X0,X1) ) ) ) ) ),
inference(rectify,[],[f9513]) ).
fof(f9515,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v1_xboole_0(X1)
| ! [X2] :
( ~ m1_filter_0(X2,X0)
| ( ( k3_filter_0(X0,X1) != X2
| ( ! [X4] :
( ~ m1_filter_0(X4,X0)
| ~ r1_tarski(X1,X4)
| r1_tarski(X2,X4) )
& r1_tarski(X1,X2) ) )
& ( ( m1_filter_0(sK196(X0,X1,X2),X0)
& r1_tarski(X1,sK196(X0,X1,X2))
& ~ r1_tarski(X2,sK196(X0,X1,X2)) )
| ~ r1_tarski(X1,X2)
| X2 = k3_filter_0(X0,X1) ) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK196]),skolemize(X3,sK196(X0,X1,X2))],[f9514]) ).
fof(f9516,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ( ( ~ v6_group_1(X0)
| v6_group_1(k1_lattice2(X0)) )
& ( ~ v6_group_1(k1_lattice2(X0))
| v6_group_1(X0) ) ) ),
inference(nnf_transformation,[],[f7232]) ).
fof(f9517,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ( ( ~ l3_lattices(X0)
| ~ v11_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ( l3_lattices(k1_lattice2(X0))
& v11_lattices(k1_lattice2(X0))
& v10_lattices(k1_lattice2(X0))
& ~ v3_struct_0(k1_lattice2(X0)) ) )
& ( ~ l3_lattices(k1_lattice2(X0))
| ~ v11_lattices(k1_lattice2(X0))
| ~ v10_lattices(k1_lattice2(X0))
| v3_struct_0(k1_lattice2(X0))
| ( l3_lattices(X0)
& v11_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) ) ) ) ),
inference(nnf_transformation,[],[f7238]) ).
fof(f9518,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ( ( ~ l3_lattices(X0)
| ~ v11_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ( l3_lattices(k1_lattice2(X0))
& v11_lattices(k1_lattice2(X0))
& v10_lattices(k1_lattice2(X0))
& ~ v3_struct_0(k1_lattice2(X0)) ) )
& ( ~ l3_lattices(k1_lattice2(X0))
| ~ v11_lattices(k1_lattice2(X0))
| ~ v10_lattices(k1_lattice2(X0))
| v3_struct_0(k1_lattice2(X0))
| ( l3_lattices(X0)
& v11_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) ) ) ) ),
inference(flattening,[],[f9517]) ).
fof(f9519,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ( ( ~ v14_lattices(X0)
| v13_lattices(k1_lattice2(X0)) )
& ( ~ v13_lattices(k1_lattice2(X0))
| v14_lattices(X0) ) ) ),
inference(nnf_transformation,[],[f7240]) ).
fof(f9520,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ( ( ~ v13_lattices(X0)
| v14_lattices(k1_lattice2(X0)) )
& ( ~ v14_lattices(k1_lattice2(X0))
| v13_lattices(X0) ) ) ),
inference(nnf_transformation,[],[f7242]) ).
fof(f9521,plain,
! [X0,X1] :
( ~ m2_relset_1(X1,X0,X0)
| ( ! [X3] :
( ~ m2_relset_1(X3,X0,X0)
| ~ v1_partfun1(X3,X0,X0)
| ~ v8_relat_2(X3)
| ~ v3_relat_2(X3)
| ~ r1_tarski(X1,X3)
| r1_tarski(sK197(X0,X1),X3) )
& r1_tarski(X1,sK197(X0,X1))
& m2_relset_1(sK197(X0,X1),X0,X0)
& v1_partfun1(sK197(X0,X1),X0,X0)
& v8_relat_2(sK197(X0,X1))
& v3_relat_2(sK197(X0,X1)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK197]),skolemize(X2,sK197(X0,X1))],[f7254]) ).
fof(f9522,plain,
! [X0] :
( ~ v1_relat_1(X0)
| ( ( ~ v8_relat_2(X0)
| r1_tarski(k5_relat_1(X0,X0),X0) )
& ( ~ r1_tarski(k5_relat_1(X0,X0),X0)
| v8_relat_2(X0) ) ) ),
inference(nnf_transformation,[],[f7261]) ).
fof(f9523,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_filter_0(X1,X0)
| ! [X2] :
( ~ v1_relat_1(X2)
| ( ( k10_filter_0(X0,X1) != X2
| ( ! [X3] :
( ~ m1_subset_1(X3,u1_struct_0(X0))
| ! [X4] :
( ~ m1_subset_1(X4,u1_struct_0(X0))
| ( ( ~ r2_hidden(k1_domain_1(u1_struct_0(X0),u1_struct_0(X0),X3,X4),X2)
| r2_hidden(k9_filter_0(X0,X3,X4),X1) )
& ( ~ r2_hidden(k9_filter_0(X0,X3,X4),X1)
| r2_hidden(k1_domain_1(u1_struct_0(X0),u1_struct_0(X0),X3,X4),X2) ) ) ) )
& r1_tarski(k3_relat_1(X2),u1_struct_0(X0)) ) )
& ( ? [X3] :
( m1_subset_1(X3,u1_struct_0(X0))
& ? [X4] :
( m1_subset_1(X4,u1_struct_0(X0))
& ( r2_hidden(k1_domain_1(u1_struct_0(X0),u1_struct_0(X0),X3,X4),X2)
| r2_hidden(k9_filter_0(X0,X3,X4),X1) )
& ( ~ r2_hidden(k1_domain_1(u1_struct_0(X0),u1_struct_0(X0),X3,X4),X2)
| ~ r2_hidden(k9_filter_0(X0,X3,X4),X1) ) ) )
| ~ r1_tarski(k3_relat_1(X2),u1_struct_0(X0))
| X2 = k10_filter_0(X0,X1) ) ) ) ) ),
inference(nnf_transformation,[],[f7291]) ).
fof(f9524,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_filter_0(X1,X0)
| ! [X2] :
( ~ v1_relat_1(X2)
| ( ( k10_filter_0(X0,X1) != X2
| ( ! [X3] :
( ~ m1_subset_1(X3,u1_struct_0(X0))
| ! [X4] :
( ~ m1_subset_1(X4,u1_struct_0(X0))
| ( ( ~ r2_hidden(k1_domain_1(u1_struct_0(X0),u1_struct_0(X0),X3,X4),X2)
| r2_hidden(k9_filter_0(X0,X3,X4),X1) )
& ( ~ r2_hidden(k9_filter_0(X0,X3,X4),X1)
| r2_hidden(k1_domain_1(u1_struct_0(X0),u1_struct_0(X0),X3,X4),X2) ) ) ) )
& r1_tarski(k3_relat_1(X2),u1_struct_0(X0)) ) )
& ( ? [X3] :
( m1_subset_1(X3,u1_struct_0(X0))
& ? [X4] :
( m1_subset_1(X4,u1_struct_0(X0))
& ( r2_hidden(k1_domain_1(u1_struct_0(X0),u1_struct_0(X0),X3,X4),X2)
| r2_hidden(k9_filter_0(X0,X3,X4),X1) )
& ( ~ r2_hidden(k1_domain_1(u1_struct_0(X0),u1_struct_0(X0),X3,X4),X2)
| ~ r2_hidden(k9_filter_0(X0,X3,X4),X1) ) ) )
| ~ r1_tarski(k3_relat_1(X2),u1_struct_0(X0))
| X2 = k10_filter_0(X0,X1) ) ) ) ) ),
inference(flattening,[],[f9523]) ).
fof(f9525,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_filter_0(X1,X0)
| ! [X2] :
( ~ v1_relat_1(X2)
| ( ( k10_filter_0(X0,X1) != X2
| ( ! [X5] :
( ~ m1_subset_1(X5,u1_struct_0(X0))
| ! [X6] :
( ~ m1_subset_1(X6,u1_struct_0(X0))
| ( ( ~ r2_hidden(k1_domain_1(u1_struct_0(X0),u1_struct_0(X0),X5,X6),X2)
| r2_hidden(k9_filter_0(X0,X5,X6),X1) )
& ( ~ r2_hidden(k9_filter_0(X0,X5,X6),X1)
| r2_hidden(k1_domain_1(u1_struct_0(X0),u1_struct_0(X0),X5,X6),X2) ) ) ) )
& r1_tarski(k3_relat_1(X2),u1_struct_0(X0)) ) )
& ( ? [X3] :
( m1_subset_1(X3,u1_struct_0(X0))
& ? [X4] :
( m1_subset_1(X4,u1_struct_0(X0))
& ( r2_hidden(k1_domain_1(u1_struct_0(X0),u1_struct_0(X0),X3,X4),X2)
| r2_hidden(k9_filter_0(X0,X3,X4),X1) )
& ( ~ r2_hidden(k1_domain_1(u1_struct_0(X0),u1_struct_0(X0),X3,X4),X2)
| ~ r2_hidden(k9_filter_0(X0,X3,X4),X1) ) ) )
| ~ r1_tarski(k3_relat_1(X2),u1_struct_0(X0))
| X2 = k10_filter_0(X0,X1) ) ) ) ) ),
inference(rectify,[],[f9524]) ).
fof(f9526,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_filter_0(X1,X0)
| ! [X2] :
( ~ v1_relat_1(X2)
| ( ( k10_filter_0(X0,X1) != X2
| ( ! [X5] :
( ~ m1_subset_1(X5,u1_struct_0(X0))
| ! [X6] :
( ~ m1_subset_1(X6,u1_struct_0(X0))
| ( ( ~ r2_hidden(k1_domain_1(u1_struct_0(X0),u1_struct_0(X0),X5,X6),X2)
| r2_hidden(k9_filter_0(X0,X5,X6),X1) )
& ( ~ r2_hidden(k9_filter_0(X0,X5,X6),X1)
| r2_hidden(k1_domain_1(u1_struct_0(X0),u1_struct_0(X0),X5,X6),X2) ) ) ) )
& r1_tarski(k3_relat_1(X2),u1_struct_0(X0)) ) )
& ( ( m1_subset_1(sK198(X0,X1,X2),u1_struct_0(X0))
& m1_subset_1(sK199(X0,X1,X2),u1_struct_0(X0))
& ( r2_hidden(k1_domain_1(u1_struct_0(X0),u1_struct_0(X0),sK198(X0,X1,X2),sK199(X0,X1,X2)),X2)
| r2_hidden(k9_filter_0(X0,sK198(X0,X1,X2),sK199(X0,X1,X2)),X1) )
& ( ~ r2_hidden(k1_domain_1(u1_struct_0(X0),u1_struct_0(X0),sK198(X0,X1,X2),sK199(X0,X1,X2)),X2)
| ~ r2_hidden(k9_filter_0(X0,sK198(X0,X1,X2),sK199(X0,X1,X2)),X1) ) )
| ~ r1_tarski(k3_relat_1(X2),u1_struct_0(X0))
| X2 = k10_filter_0(X0,X1) ) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK198,sK199]),skolemize(X3,sK198(X0,X1,X2)),skolemize(X4,sK199(X0,X1,X2))],[f9525]) ).
fof(f9527,plain,
! [X0] :
( v1_xboole_0(X0)
| ! [X1] :
( ~ m2_relset_1(X1,X0,X0)
| ~ v1_partfun1(X1,X0,X0)
| ~ v8_relat_2(X1)
| ~ v3_relat_2(X1)
| ! [X2] :
( ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ m2_filter_1(X2,X0,X1)
| ! [X3] :
( ~ m2_relset_1(X3,k2_zfmisc_1(k8_eqrel_1(X0,X1),k8_eqrel_1(X0,X1)),k8_eqrel_1(X0,X1))
| ~ v1_funct_2(X3,k2_zfmisc_1(k8_eqrel_1(X0,X1),k8_eqrel_1(X0,X1)),k8_eqrel_1(X0,X1))
| ~ v1_funct_1(X3)
| ( ( k4_filter_1(X0,X1,X2) != X3
| ! [X4,X5,X6,X7] :
( ~ r2_hidden(X7,X5)
| ~ r2_hidden(X6,X4)
| ~ r2_hidden(X5,k8_eqrel_1(X0,X1))
| ~ r2_hidden(X4,k8_eqrel_1(X0,X1))
| k1_binop_1(X3,X4,X5) = k6_eqrel_1(X0,X1,k1_binop_1(X2,X6,X7)) ) )
& ( ? [X4,X5,X6,X7] :
( r2_hidden(X7,X5)
& r2_hidden(X6,X4)
& r2_hidden(X5,k8_eqrel_1(X0,X1))
& r2_hidden(X4,k8_eqrel_1(X0,X1))
& k1_binop_1(X3,X4,X5) != k6_eqrel_1(X0,X1,k1_binop_1(X2,X6,X7)) )
| X3 = k4_filter_1(X0,X1,X2) ) ) ) ) ) ),
inference(nnf_transformation,[],[f7305]) ).
fof(f9528,plain,
! [X0] :
( v1_xboole_0(X0)
| ! [X1] :
( ~ m2_relset_1(X1,X0,X0)
| ~ v1_partfun1(X1,X0,X0)
| ~ v8_relat_2(X1)
| ~ v3_relat_2(X1)
| ! [X2] :
( ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ m2_filter_1(X2,X0,X1)
| ! [X3] :
( ~ m2_relset_1(X3,k2_zfmisc_1(k8_eqrel_1(X0,X1),k8_eqrel_1(X0,X1)),k8_eqrel_1(X0,X1))
| ~ v1_funct_2(X3,k2_zfmisc_1(k8_eqrel_1(X0,X1),k8_eqrel_1(X0,X1)),k8_eqrel_1(X0,X1))
| ~ v1_funct_1(X3)
| ( ( k4_filter_1(X0,X1,X2) != X3
| ! [X8,X9,X10,X11] :
( ~ r2_hidden(X11,X9)
| ~ r2_hidden(X10,X8)
| ~ r2_hidden(X9,k8_eqrel_1(X0,X1))
| ~ r2_hidden(X8,k8_eqrel_1(X0,X1))
| k1_binop_1(X3,X8,X9) = k6_eqrel_1(X0,X1,k1_binop_1(X2,X10,X11)) ) )
& ( ? [X4,X5,X6,X7] :
( r2_hidden(X7,X5)
& r2_hidden(X6,X4)
& r2_hidden(X5,k8_eqrel_1(X0,X1))
& r2_hidden(X4,k8_eqrel_1(X0,X1))
& k1_binop_1(X3,X4,X5) != k6_eqrel_1(X0,X1,k1_binop_1(X2,X6,X7)) )
| X3 = k4_filter_1(X0,X1,X2) ) ) ) ) ) ),
inference(rectify,[],[f9527]) ).
fof(f9529,plain,
! [X0] :
( v1_xboole_0(X0)
| ! [X1] :
( ~ m2_relset_1(X1,X0,X0)
| ~ v1_partfun1(X1,X0,X0)
| ~ v8_relat_2(X1)
| ~ v3_relat_2(X1)
| ! [X2] :
( ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ m2_filter_1(X2,X0,X1)
| ! [X3] :
( ~ m2_relset_1(X3,k2_zfmisc_1(k8_eqrel_1(X0,X1),k8_eqrel_1(X0,X1)),k8_eqrel_1(X0,X1))
| ~ v1_funct_2(X3,k2_zfmisc_1(k8_eqrel_1(X0,X1),k8_eqrel_1(X0,X1)),k8_eqrel_1(X0,X1))
| ~ v1_funct_1(X3)
| ( ( k4_filter_1(X0,X1,X2) != X3
| ! [X8,X9,X10,X11] :
( ~ r2_hidden(X11,X9)
| ~ r2_hidden(X10,X8)
| ~ r2_hidden(X9,k8_eqrel_1(X0,X1))
| ~ r2_hidden(X8,k8_eqrel_1(X0,X1))
| k1_binop_1(X3,X8,X9) = k6_eqrel_1(X0,X1,k1_binop_1(X2,X10,X11)) ) )
& ( ( r2_hidden(sK203(X0,X1,X2,X3),sK201(X0,X1,X2,X3))
& r2_hidden(sK202(X0,X1,X2,X3),sK200(X0,X1,X2,X3))
& r2_hidden(sK201(X0,X1,X2,X3),k8_eqrel_1(X0,X1))
& r2_hidden(sK200(X0,X1,X2,X3),k8_eqrel_1(X0,X1))
& k1_binop_1(X3,sK200(X0,X1,X2,X3),sK201(X0,X1,X2,X3)) != k6_eqrel_1(X0,X1,k1_binop_1(X2,sK202(X0,X1,X2,X3),sK203(X0,X1,X2,X3))) )
| X3 = k4_filter_1(X0,X1,X2) ) ) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK200,sK201,sK202,sK203]),skolemize(X4,sK200(X0,X1,X2,X3)),skolemize(X5,sK201(X0,X1,X2,X3)),skolemize(X6,sK202(X0,X1,X2,X3)),skolemize(X7,sK203(X0,X1,X2,X3))],[f9528]) ).
fof(f9530,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| v1_xboole_0(X1)
| v1_xboole_0(X0)
| ! [X2] :
( ( ~ m2_subset_1(X2,X0,X1)
| m1_subset_1(X2,X1) )
& ( ~ m1_subset_1(X2,X1)
| m2_subset_1(X2,X0,X1) ) ) ),
inference(nnf_transformation,[],[f7307]) ).
fof(f9531,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| v1_xboole_0(X1)
| v1_xboole_0(X0)
| m2_subset_1(sK204(X0,X1),X0,X1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK204]),skolemize(X2,sK204(X0,X1))],[f7309]) ).
fof(f9532,plain,
! [X1,X0] :
( ~ sP15(X1,X0)
| ( ( ~ v3_pre_topc(X1,X0)
| sP14(X0,X1) )
& ( ~ sP14(X0,X1)
| v3_pre_topc(X1,X0) ) ) ),
inference(nnf_transformation,[],[f9234]) ).
fof(f9533,plain,
! [X0,X1] :
( ~ sP15(X0,X1)
| ( ( ~ v3_pre_topc(X0,X1)
| sP14(X1,X0) )
& ( ~ sP14(X1,X0)
| v3_pre_topc(X0,X1) ) ) ),
inference(rectify,[],[f9532]) ).
fof(f9537,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| ( ( ~ r2_hidden(X2,k6_pre_topc(X0,X1))
| ! [X3] :
( ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0)))
| ~ r1_xboole_0(X1,X3)
| ~ r2_hidden(X2,X3)
| ~ v3_pre_topc(X3,X0) ) )
& ( ? [X3] :
( m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0)))
& r1_xboole_0(X1,X3)
& r2_hidden(X2,X3)
& v3_pre_topc(X3,X0) )
| r2_hidden(X2,k6_pre_topc(X0,X1)) ) ) ) ) ),
inference(nnf_transformation,[],[f7315]) ).
fof(f9538,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| ( ( ~ r2_hidden(X2,k6_pre_topc(X0,X1))
| ! [X4] :
( ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X0)))
| ~ r1_xboole_0(X1,X4)
| ~ r2_hidden(X2,X4)
| ~ v3_pre_topc(X4,X0) ) )
& ( ? [X3] :
( m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0)))
& r1_xboole_0(X1,X3)
& r2_hidden(X2,X3)
& v3_pre_topc(X3,X0) )
| r2_hidden(X2,k6_pre_topc(X0,X1)) ) ) ) ) ),
inference(rectify,[],[f9537]) ).
fof(f9539,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| ( ( ~ r2_hidden(X2,k6_pre_topc(X0,X1))
| ! [X4] :
( ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X0)))
| ~ r1_xboole_0(X1,X4)
| ~ r2_hidden(X2,X4)
| ~ v3_pre_topc(X4,X0) ) )
& ( ( m1_subset_1(sK208(X0,X1,X2),k1_zfmisc_1(u1_struct_0(X0)))
& r1_xboole_0(X1,sK208(X0,X1,X2))
& r2_hidden(X2,sK208(X0,X1,X2))
& v3_pre_topc(sK208(X0,X1,X2),X0) )
| r2_hidden(X2,k6_pre_topc(X0,X1)) ) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK208]),skolemize(X3,sK208(X0,X1,X2))],[f9538]) ).
fof(f9540,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ! [X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ( ( ~ v3_pre_topc(X1,X0)
| v4_pre_topc(k3_subset_1(u1_struct_0(X0),X1),X0) )
& ( ~ v4_pre_topc(k3_subset_1(u1_struct_0(X0),X1),X0)
| v3_pre_topc(X1,X0) ) ) ) ),
inference(nnf_transformation,[],[f7318]) ).
fof(f9541,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ! [X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ( ( ~ v4_pre_topc(X1,X0)
| v3_pre_topc(k3_subset_1(u1_struct_0(X0),X1),X0) )
& ( ~ v3_pre_topc(k3_subset_1(u1_struct_0(X0),X1),X0)
| v4_pre_topc(X1,X0) ) ) ) ),
inference(nnf_transformation,[],[f7319]) ).
fof(f9542,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| ( v4_pre_topc(sK209(X0),X0)
& v3_pre_topc(sK209(X0),X0)
& ~ v1_xboole_0(sK209(X0))
& m1_subset_1(sK209(X0),k1_zfmisc_1(u1_struct_0(X0))) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK209]),skolemize(X1,sK209(X0))],[f7321]) ).
fof(f9543,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ( v4_pre_topc(sK210(X0),X0)
& v3_pre_topc(sK210(X0),X0)
& m1_subset_1(sK210(X0),k1_zfmisc_1(u1_struct_0(X0))) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK210]),skolemize(X1,sK210(X0))],[f7323]) ).
fof(f9544,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ( v3_pre_topc(sK211(X0),X0)
& m1_subset_1(sK211(X0),k1_zfmisc_1(u1_struct_0(X0))) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK211]),skolemize(X1,sK211(X0))],[f7329]) ).
fof(f9545,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ! [X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| ( ( ~ r2_hidden(X2,k6_pre_topc(X0,X1))
| ( ! [X3] :
( ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0)))
| ~ r1_xboole_0(X1,X3)
| ~ r2_hidden(X2,X3)
| ~ v3_pre_topc(X3,X0) )
& ~ v3_struct_0(X0) ) )
& ( ? [X3] :
( m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0)))
& r1_xboole_0(X1,X3)
& r2_hidden(X2,X3)
& v3_pre_topc(X3,X0) )
| v3_struct_0(X0)
| r2_hidden(X2,k6_pre_topc(X0,X1)) ) ) ) ) ),
inference(nnf_transformation,[],[f7333]) ).
fof(f9546,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ! [X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| ( ( ~ r2_hidden(X2,k6_pre_topc(X0,X1))
| ( ! [X3] :
( ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0)))
| ~ r1_xboole_0(X1,X3)
| ~ r2_hidden(X2,X3)
| ~ v3_pre_topc(X3,X0) )
& ~ v3_struct_0(X0) ) )
& ( ? [X3] :
( m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0)))
& r1_xboole_0(X1,X3)
& r2_hidden(X2,X3)
& v3_pre_topc(X3,X0) )
| v3_struct_0(X0)
| r2_hidden(X2,k6_pre_topc(X0,X1)) ) ) ) ) ),
inference(flattening,[],[f9545]) ).
fof(f9547,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ! [X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| ( ( ~ r2_hidden(X2,k6_pre_topc(X0,X1))
| ( ! [X4] :
( ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X0)))
| ~ r1_xboole_0(X1,X4)
| ~ r2_hidden(X2,X4)
| ~ v3_pre_topc(X4,X0) )
& ~ v3_struct_0(X0) ) )
& ( ? [X3] :
( m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0)))
& r1_xboole_0(X1,X3)
& r2_hidden(X2,X3)
& v3_pre_topc(X3,X0) )
| v3_struct_0(X0)
| r2_hidden(X2,k6_pre_topc(X0,X1)) ) ) ) ) ),
inference(rectify,[],[f9546]) ).
fof(f9548,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ! [X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| ( ( ~ r2_hidden(X2,k6_pre_topc(X0,X1))
| ( ! [X4] :
( ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X0)))
| ~ r1_xboole_0(X1,X4)
| ~ r2_hidden(X2,X4)
| ~ v3_pre_topc(X4,X0) )
& ~ v3_struct_0(X0) ) )
& ( ( m1_subset_1(sK212(X0,X1,X2),k1_zfmisc_1(u1_struct_0(X0)))
& r1_xboole_0(X1,sK212(X0,X1,X2))
& r2_hidden(X2,sK212(X0,X1,X2))
& v3_pre_topc(sK212(X0,X1,X2),X0) )
| v3_struct_0(X0)
| r2_hidden(X2,k6_pre_topc(X0,X1)) ) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK212]),skolemize(X3,sK212(X0,X1,X2))],[f9547]) ).
fof(f9549,plain,
! [X2,X1,X0] :
( ~ sP17(X2,X1,X0)
| ( ( k6_pre_topc(X0,X1) != X2
| sP16(X0,X1,X2) )
& ( ~ sP16(X0,X1,X2)
| X2 = k6_pre_topc(X0,X1) ) ) ),
inference(nnf_transformation,[],[f9237]) ).
fof(f9550,plain,
! [X0,X1,X2] :
( ~ sP17(X0,X1,X2)
| ( ( k6_pre_topc(X2,X1) != X0
| sP16(X2,X1,X0) )
& ( ~ sP16(X2,X1,X0)
| k6_pre_topc(X2,X1) = X0 ) ) ),
inference(rectify,[],[f9549]) ).
fof(f9555,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ! [X1,X2] :
( ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
| ( ( ~ r2_hidden(X1,k1_tops_1(X0,X2))
| ? [X3] :
( r2_hidden(X1,X3)
& r1_tarski(X3,X2)
& v3_pre_topc(X3,X0)
& m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0))) ) )
& ( ! [X3] :
( ~ r2_hidden(X1,X3)
| ~ r1_tarski(X3,X2)
| ~ v3_pre_topc(X3,X0)
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0))) )
| r2_hidden(X1,k1_tops_1(X0,X2)) ) ) ) ),
inference(nnf_transformation,[],[f7348]) ).
fof(f9556,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ! [X1,X2] :
( ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
| ( ( ~ r2_hidden(X1,k1_tops_1(X0,X2))
| ? [X4] :
( r2_hidden(X1,X4)
& r1_tarski(X4,X2)
& v3_pre_topc(X4,X0)
& m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X0))) ) )
& ( ! [X3] :
( ~ r2_hidden(X1,X3)
| ~ r1_tarski(X3,X2)
| ~ v3_pre_topc(X3,X0)
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0))) )
| r2_hidden(X1,k1_tops_1(X0,X2)) ) ) ) ),
inference(rectify,[],[f9555]) ).
fof(f9557,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ! [X1,X2] :
( ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
| ( ( ~ r2_hidden(X1,k1_tops_1(X0,X2))
| ( r2_hidden(X1,sK216(X0,X1,X2))
& r1_tarski(sK216(X0,X1,X2),X2)
& v3_pre_topc(sK216(X0,X1,X2),X0)
& m1_subset_1(sK216(X0,X1,X2),k1_zfmisc_1(u1_struct_0(X0))) ) )
& ( ! [X3] :
( ~ r2_hidden(X1,X3)
| ~ r1_tarski(X3,X2)
| ~ v3_pre_topc(X3,X0)
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0))) )
| r2_hidden(X1,k1_tops_1(X0,X2)) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK216]),skolemize(X4,sK216(X0,X1,X2))],[f9556]) ).
fof(f9558,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ! [X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ! [X2] :
( ~ r2_hidden(X2,u1_struct_0(X0))
| ( ( ~ r2_hidden(X2,k6_pre_topc(X0,X1))
| ! [X3] :
( ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0)))
| ~ r1_tarski(X1,X3)
| ~ v4_pre_topc(X3,X0)
| r2_hidden(X2,X3) ) )
& ( ? [X3] :
( m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0)))
& r1_tarski(X1,X3)
& v4_pre_topc(X3,X0)
& ~ r2_hidden(X2,X3) )
| r2_hidden(X2,k6_pre_topc(X0,X1)) ) ) ) ) ),
inference(nnf_transformation,[],[f7374]) ).
fof(f9559,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ! [X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ! [X2] :
( ~ r2_hidden(X2,u1_struct_0(X0))
| ( ( ~ r2_hidden(X2,k6_pre_topc(X0,X1))
| ! [X4] :
( ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X0)))
| ~ r1_tarski(X1,X4)
| ~ v4_pre_topc(X4,X0)
| r2_hidden(X2,X4) ) )
& ( ? [X3] :
( m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0)))
& r1_tarski(X1,X3)
& v4_pre_topc(X3,X0)
& ~ r2_hidden(X2,X3) )
| r2_hidden(X2,k6_pre_topc(X0,X1)) ) ) ) ) ),
inference(rectify,[],[f9558]) ).
fof(f9560,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ! [X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ! [X2] :
( ~ r2_hidden(X2,u1_struct_0(X0))
| ( ( ~ r2_hidden(X2,k6_pre_topc(X0,X1))
| ! [X4] :
( ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X0)))
| ~ r1_tarski(X1,X4)
| ~ v4_pre_topc(X4,X0)
| r2_hidden(X2,X4) ) )
& ( ( m1_subset_1(sK217(X0,X1,X2),k1_zfmisc_1(u1_struct_0(X0)))
& r1_tarski(X1,sK217(X0,X1,X2))
& v4_pre_topc(sK217(X0,X1,X2),X0)
& ~ r2_hidden(X2,sK217(X0,X1,X2)) )
| r2_hidden(X2,k6_pre_topc(X0,X1)) ) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK217]),skolemize(X3,sK217(X0,X1,X2))],[f9559]) ).
fof(f9561,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| ( v4_pre_topc(sK218(X0),X0)
& ~ v1_xboole_0(sK218(X0))
& m1_subset_1(sK218(X0),k1_zfmisc_1(u1_struct_0(X0))) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK218]),skolemize(X1,sK218(X0))],[f7376]) ).
fof(f9562,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ( v4_pre_topc(sK219(X0),X0)
& m1_subset_1(sK219(X0),k1_zfmisc_1(u1_struct_0(X0))) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK219]),skolemize(X1,sK219(X0))],[f7378]) ).
fof(f9563,plain,
! [X0] :
( ~ l1_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ! [X2] :
( ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
| ( ( ~ r1_tarski(X1,X2)
| r1_xboole_0(X1,k3_subset_1(u1_struct_0(X0),X2)) )
& ( ~ r1_xboole_0(X1,k3_subset_1(u1_struct_0(X0),X2))
| r1_tarski(X1,X2) ) ) ) ) ),
inference(nnf_transformation,[],[f7383]) ).
fof(f9564,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ! [X2] :
( ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ? [X3] :
( m1_subset_1(X3,X0)
& ( ~ r2_hidden(X3,X1)
| r2_hidden(X3,X2) )
& ( ~ r2_hidden(X3,X2)
| r2_hidden(X3,X1) ) )
| X1 = k3_subset_1(X0,X2) ) ),
inference(nnf_transformation,[],[f7389]) ).
fof(f9565,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ! [X2] :
( ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ? [X3] :
( m1_subset_1(X3,X0)
& ( ~ r2_hidden(X3,X1)
| r2_hidden(X3,X2) )
& ( ~ r2_hidden(X3,X2)
| r2_hidden(X3,X1) ) )
| X1 = k3_subset_1(X0,X2) ) ),
inference(flattening,[],[f9564]) ).
fof(f9566,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ! [X2] :
( ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ( m1_subset_1(sK220(X0,X1,X2),X0)
& ( ~ r2_hidden(sK220(X0,X1,X2),X1)
| r2_hidden(sK220(X0,X1,X2),X2) )
& ( ~ r2_hidden(sK220(X0,X1,X2),X2)
| r2_hidden(sK220(X0,X1,X2),X1) ) )
| X1 = k3_subset_1(X0,X2) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK220]),skolemize(X3,sK220(X0,X1,X2))],[f9565]) ).
fof(f9567,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ! [X2] :
( ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ? [X3] :
( m1_subset_1(X3,X0)
& ( ~ r2_hidden(X3,X1)
| r2_hidden(X3,X2) )
& ( r2_hidden(X3,X1)
| ~ r2_hidden(X3,X2) ) )
| X1 = k3_subset_1(X0,X2) ) ),
inference(nnf_transformation,[],[f7391]) ).
fof(f9568,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ! [X2] :
( ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ? [X3] :
( m1_subset_1(X3,X0)
& ( ~ r2_hidden(X3,X1)
| r2_hidden(X3,X2) )
& ( r2_hidden(X3,X1)
| ~ r2_hidden(X3,X2) ) )
| X1 = k3_subset_1(X0,X2) ) ),
inference(flattening,[],[f9567]) ).
fof(f9569,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ! [X2] :
( ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ( m1_subset_1(sK221(X0,X1,X2),X0)
& ( ~ r2_hidden(sK221(X0,X1,X2),X1)
| r2_hidden(sK221(X0,X1,X2),X2) )
& ( r2_hidden(sK221(X0,X1,X2),X1)
| ~ r2_hidden(sK221(X0,X1,X2),X2) ) )
| X1 = k3_subset_1(X0,X2) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK221]),skolemize(X3,sK221(X0,X1,X2))],[f9568]) ).
fof(f9570,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ! [X2] :
( ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ? [X3] :
( m1_subset_1(X3,X0)
& ( r2_hidden(X3,X1)
| ~ r2_hidden(X3,X2) )
& ( ~ r2_hidden(X3,X1)
| r2_hidden(X3,X2) ) )
| X1 = k3_subset_1(X0,X2) ) ),
inference(nnf_transformation,[],[f7393]) ).
fof(f9571,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ! [X2] :
( ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ? [X3] :
( m1_subset_1(X3,X0)
& ( r2_hidden(X3,X1)
| ~ r2_hidden(X3,X2) )
& ( ~ r2_hidden(X3,X1)
| r2_hidden(X3,X2) ) )
| X1 = k3_subset_1(X0,X2) ) ),
inference(flattening,[],[f9570]) ).
fof(f9572,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ! [X2] :
( ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ( m1_subset_1(sK222(X0,X1,X2),X0)
& ( r2_hidden(sK222(X0,X1,X2),X1)
| ~ r2_hidden(sK222(X0,X1,X2),X2) )
& ( ~ r2_hidden(sK222(X0,X1,X2),X1)
| r2_hidden(sK222(X0,X1,X2),X2) ) )
| X1 = k3_subset_1(X0,X2) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK222]),skolemize(X3,sK222(X0,X1,X2))],[f9571]) ).
fof(f9573,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ! [X2] :
( ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ( ( ~ r1_xboole_0(X1,k3_subset_1(X0,X2))
| r1_tarski(X1,X2) )
& ( ~ r1_tarski(X1,X2)
| r1_xboole_0(X1,k3_subset_1(X0,X2)) ) ) ) ),
inference(nnf_transformation,[],[f7400]) ).
fof(f9574,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ! [X2] :
( ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ( ( ~ r1_xboole_0(X1,X2)
| r1_tarski(X1,k3_subset_1(X0,X2)) )
& ( ~ r1_tarski(X1,k3_subset_1(X0,X2))
| r1_xboole_0(X1,X2) ) ) ) ),
inference(nnf_transformation,[],[f7401]) ).
fof(f9575,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ! [X2] :
( ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ( ( ~ r1_tarski(X1,X2)
| r1_tarski(k3_subset_1(X0,X2),k3_subset_1(X0,X1)) )
& ( ~ r1_tarski(k3_subset_1(X0,X2),k3_subset_1(X0,X1))
| r1_tarski(X1,X2) ) ) ) ),
inference(nnf_transformation,[],[f7409]) ).
fof(f9576,plain,
! [X0] :
( ( r2_hidden(sK223(X0),X0)
& ~ v5_membered(sK223(X0)) )
| v5_membered(k3_tarski(X0)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK223]),skolemize(X1,sK223(X0))],[f7414]) ).
fof(f9577,plain,
! [X0] :
( ~ v5_membered(X0)
| ! [X1] :
( ~ v5_membered(X1)
| ( ( ~ r1_xboole_0(X0,X1)
| ! [X2] :
( ~ v4_ordinal2(X2)
| ~ r2_hidden(X2,X1)
| ~ r2_hidden(X2,X0) ) )
& ( ? [X2] :
( v4_ordinal2(X2)
& r2_hidden(X2,X1)
& r2_hidden(X2,X0) )
| r1_xboole_0(X0,X1) ) ) ) ),
inference(nnf_transformation,[],[f7416]) ).
fof(f9578,plain,
! [X0] :
( ~ v5_membered(X0)
| ! [X1] :
( ~ v5_membered(X1)
| ( ( ~ r1_xboole_0(X0,X1)
| ! [X3] :
( ~ v4_ordinal2(X3)
| ~ r2_hidden(X3,X1)
| ~ r2_hidden(X3,X0) ) )
& ( ? [X2] :
( v4_ordinal2(X2)
& r2_hidden(X2,X1)
& r2_hidden(X2,X0) )
| r1_xboole_0(X0,X1) ) ) ) ),
inference(rectify,[],[f9577]) ).
fof(f9579,plain,
! [X0] :
( ~ v5_membered(X0)
| ! [X1] :
( ~ v5_membered(X1)
| ( ( ~ r1_xboole_0(X0,X1)
| ! [X3] :
( ~ v4_ordinal2(X3)
| ~ r2_hidden(X3,X1)
| ~ r2_hidden(X3,X0) ) )
& ( ( v4_ordinal2(sK224(X0,X1))
& r2_hidden(sK224(X0,X1),X1)
& r2_hidden(sK224(X0,X1),X0) )
| r1_xboole_0(X0,X1) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK224]),skolemize(X2,sK224(X0,X1))],[f9578]) ).
fof(f9580,plain,
! [X0] :
( ~ v5_membered(X0)
| ! [X1] :
( ~ v5_membered(X1)
| ( ( X0 != X1
| ! [X2] :
( ~ v4_ordinal2(X2)
| ( ( ~ r2_hidden(X2,X0)
| r2_hidden(X2,X1) )
& ( ~ r2_hidden(X2,X1)
| r2_hidden(X2,X0) ) ) ) )
& ( ? [X2] :
( v4_ordinal2(X2)
& ( r2_hidden(X2,X0)
| r2_hidden(X2,X1) )
& ( ~ r2_hidden(X2,X0)
| ~ r2_hidden(X2,X1) ) )
| X0 = X1 ) ) ) ),
inference(nnf_transformation,[],[f7417]) ).
fof(f9581,plain,
! [X0] :
( ~ v5_membered(X0)
| ! [X1] :
( ~ v5_membered(X1)
| ( ( X0 != X1
| ! [X2] :
( ~ v4_ordinal2(X2)
| ( ( ~ r2_hidden(X2,X0)
| r2_hidden(X2,X1) )
& ( ~ r2_hidden(X2,X1)
| r2_hidden(X2,X0) ) ) ) )
& ( ? [X2] :
( v4_ordinal2(X2)
& ( r2_hidden(X2,X0)
| r2_hidden(X2,X1) )
& ( ~ r2_hidden(X2,X0)
| ~ r2_hidden(X2,X1) ) )
| X0 = X1 ) ) ) ),
inference(flattening,[],[f9580]) ).
fof(f9582,plain,
! [X0] :
( ~ v5_membered(X0)
| ! [X1] :
( ~ v5_membered(X1)
| ( ( X0 != X1
| ! [X3] :
( ~ v4_ordinal2(X3)
| ( ( ~ r2_hidden(X3,X0)
| r2_hidden(X3,X1) )
& ( ~ r2_hidden(X3,X1)
| r2_hidden(X3,X0) ) ) ) )
& ( ? [X2] :
( v4_ordinal2(X2)
& ( r2_hidden(X2,X0)
| r2_hidden(X2,X1) )
& ( ~ r2_hidden(X2,X0)
| ~ r2_hidden(X2,X1) ) )
| X0 = X1 ) ) ) ),
inference(rectify,[],[f9581]) ).
fof(f9583,plain,
! [X0] :
( ~ v5_membered(X0)
| ! [X1] :
( ~ v5_membered(X1)
| ( ( X0 != X1
| ! [X3] :
( ~ v4_ordinal2(X3)
| ( ( ~ r2_hidden(X3,X0)
| r2_hidden(X3,X1) )
& ( ~ r2_hidden(X3,X1)
| r2_hidden(X3,X0) ) ) ) )
& ( ( v4_ordinal2(sK225(X0,X1))
& ( r2_hidden(sK225(X0,X1),X0)
| r2_hidden(sK225(X0,X1),X1) )
& ( ~ r2_hidden(sK225(X0,X1),X0)
| ~ r2_hidden(sK225(X0,X1),X1) ) )
| X0 = X1 ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK225]),skolemize(X2,sK225(X0,X1))],[f9582]) ).
fof(f9584,plain,
! [X0] :
( ~ v5_membered(X0)
| ! [X1] :
( ~ v5_membered(X1)
| ( ( ~ r1_tarski(X0,X1)
| ! [X2] :
( ~ v4_ordinal2(X2)
| ~ r2_hidden(X2,X0)
| r2_hidden(X2,X1) ) )
& ( ? [X2] :
( v4_ordinal2(X2)
& r2_hidden(X2,X0)
& ~ r2_hidden(X2,X1) )
| r1_tarski(X0,X1) ) ) ) ),
inference(nnf_transformation,[],[f7419]) ).
fof(f9585,plain,
! [X0] :
( ~ v5_membered(X0)
| ! [X1] :
( ~ v5_membered(X1)
| ( ( ~ r1_tarski(X0,X1)
| ! [X3] :
( ~ v4_ordinal2(X3)
| ~ r2_hidden(X3,X0)
| r2_hidden(X3,X1) ) )
& ( ? [X2] :
( v4_ordinal2(X2)
& r2_hidden(X2,X0)
& ~ r2_hidden(X2,X1) )
| r1_tarski(X0,X1) ) ) ) ),
inference(rectify,[],[f9584]) ).
fof(f9586,plain,
! [X0] :
( ~ v5_membered(X0)
| ! [X1] :
( ~ v5_membered(X1)
| ( ( ~ r1_tarski(X0,X1)
| ! [X3] :
( ~ v4_ordinal2(X3)
| ~ r2_hidden(X3,X0)
| r2_hidden(X3,X1) ) )
& ( ( v4_ordinal2(sK226(X0,X1))
& r2_hidden(sK226(X0,X1),X0)
& ~ r2_hidden(sK226(X0,X1),X1) )
| r1_tarski(X0,X1) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK226]),skolemize(X2,sK226(X0,X1))],[f9585]) ).
fof(f9587,plain,
! [X0] :
( ~ v5_membered(X0)
| ( v4_ordinal2(sK227(X0))
& ~ r2_hidden(sK227(X0),X0) )
| X0 = k5_numbers ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK227]),skolemize(X1,sK227(X0))],[f7423]) ).
fof(f9588,plain,
! [X0] :
( ~ v5_membered(X0)
| v1_xboole_0(X0)
| ( r2_hidden(sK228(X0),X0)
& v4_ordinal2(sK228(X0)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK228]),skolemize(X1,sK228(X0))],[f7425]) ).
fof(f9589,plain,
! [X0] :
( ( ~ v5_membered(X0)
| ! [X1] :
( ~ r2_hidden(X1,X0)
| v4_ordinal2(X1) ) )
& ( ? [X1] :
( r2_hidden(X1,X0)
& ~ v4_ordinal2(X1) )
| v5_membered(X0) ) ),
inference(nnf_transformation,[],[f7427]) ).
fof(f9590,plain,
! [X0] :
( ( ~ v5_membered(X0)
| ! [X2] :
( ~ r2_hidden(X2,X0)
| v4_ordinal2(X2) ) )
& ( ? [X1] :
( r2_hidden(X1,X0)
& ~ v4_ordinal2(X1) )
| v5_membered(X0) ) ),
inference(rectify,[],[f9589]) ).
fof(f9591,plain,
! [X0] :
( ( ~ v5_membered(X0)
| ! [X2] :
( ~ r2_hidden(X2,X0)
| v4_ordinal2(X2) ) )
& ( ( r2_hidden(sK229(X0),X0)
& ~ v4_ordinal2(sK229(X0)) )
| v5_membered(X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK229]),skolemize(X1,sK229(X0))],[f9590]) ).
fof(f9592,plain,
( v5_membered(sK230)
& v4_membered(sK230)
& v3_membered(sK230)
& v2_membered(sK230)
& v1_membered(sK230)
& ~ v1_xboole_0(sK230) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK230]),skolemize(X0,sK230)],[f2996]) ).
fof(f9593,plain,
! [X0] :
( ( r2_hidden(sK231(X0),X0)
& ~ v4_membered(sK231(X0)) )
| v4_membered(k3_tarski(X0)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK231]),skolemize(X1,sK231(X0))],[f7444]) ).
fof(f9594,plain,
! [X0] :
( ~ v4_membered(X0)
| ! [X1] :
( ~ v4_membered(X1)
| ( ( ~ r1_xboole_0(X0,X1)
| ! [X2] :
( ~ v1_int_1(X2)
| ~ r2_hidden(X2,X1)
| ~ r2_hidden(X2,X0) ) )
& ( ? [X2] :
( v1_int_1(X2)
& r2_hidden(X2,X1)
& r2_hidden(X2,X0) )
| r1_xboole_0(X0,X1) ) ) ) ),
inference(nnf_transformation,[],[f7446]) ).
fof(f9595,plain,
! [X0] :
( ~ v4_membered(X0)
| ! [X1] :
( ~ v4_membered(X1)
| ( ( ~ r1_xboole_0(X0,X1)
| ! [X3] :
( ~ v1_int_1(X3)
| ~ r2_hidden(X3,X1)
| ~ r2_hidden(X3,X0) ) )
& ( ? [X2] :
( v1_int_1(X2)
& r2_hidden(X2,X1)
& r2_hidden(X2,X0) )
| r1_xboole_0(X0,X1) ) ) ) ),
inference(rectify,[],[f9594]) ).
fof(f9596,plain,
! [X0] :
( ~ v4_membered(X0)
| ! [X1] :
( ~ v4_membered(X1)
| ( ( ~ r1_xboole_0(X0,X1)
| ! [X3] :
( ~ v1_int_1(X3)
| ~ r2_hidden(X3,X1)
| ~ r2_hidden(X3,X0) ) )
& ( ( v1_int_1(sK232(X0,X1))
& r2_hidden(sK232(X0,X1),X1)
& r2_hidden(sK232(X0,X1),X0) )
| r1_xboole_0(X0,X1) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK232]),skolemize(X2,sK232(X0,X1))],[f9595]) ).
fof(f9597,plain,
! [X0] :
( ~ v4_membered(X0)
| ! [X1] :
( ~ v4_membered(X1)
| ( ( X0 != X1
| ! [X2] :
( ~ v1_int_1(X2)
| ( ( ~ r2_hidden(X2,X0)
| r2_hidden(X2,X1) )
& ( ~ r2_hidden(X2,X1)
| r2_hidden(X2,X0) ) ) ) )
& ( ? [X2] :
( v1_int_1(X2)
& ( r2_hidden(X2,X0)
| r2_hidden(X2,X1) )
& ( ~ r2_hidden(X2,X0)
| ~ r2_hidden(X2,X1) ) )
| X0 = X1 ) ) ) ),
inference(nnf_transformation,[],[f7447]) ).
fof(f9598,plain,
! [X0] :
( ~ v4_membered(X0)
| ! [X1] :
( ~ v4_membered(X1)
| ( ( X0 != X1
| ! [X2] :
( ~ v1_int_1(X2)
| ( ( ~ r2_hidden(X2,X0)
| r2_hidden(X2,X1) )
& ( ~ r2_hidden(X2,X1)
| r2_hidden(X2,X0) ) ) ) )
& ( ? [X2] :
( v1_int_1(X2)
& ( r2_hidden(X2,X0)
| r2_hidden(X2,X1) )
& ( ~ r2_hidden(X2,X0)
| ~ r2_hidden(X2,X1) ) )
| X0 = X1 ) ) ) ),
inference(flattening,[],[f9597]) ).
fof(f9599,plain,
! [X0] :
( ~ v4_membered(X0)
| ! [X1] :
( ~ v4_membered(X1)
| ( ( X0 != X1
| ! [X3] :
( ~ v1_int_1(X3)
| ( ( ~ r2_hidden(X3,X0)
| r2_hidden(X3,X1) )
& ( ~ r2_hidden(X3,X1)
| r2_hidden(X3,X0) ) ) ) )
& ( ? [X2] :
( v1_int_1(X2)
& ( r2_hidden(X2,X0)
| r2_hidden(X2,X1) )
& ( ~ r2_hidden(X2,X0)
| ~ r2_hidden(X2,X1) ) )
| X0 = X1 ) ) ) ),
inference(rectify,[],[f9598]) ).
fof(f9600,plain,
! [X0] :
( ~ v4_membered(X0)
| ! [X1] :
( ~ v4_membered(X1)
| ( ( X0 != X1
| ! [X3] :
( ~ v1_int_1(X3)
| ( ( ~ r2_hidden(X3,X0)
| r2_hidden(X3,X1) )
& ( ~ r2_hidden(X3,X1)
| r2_hidden(X3,X0) ) ) ) )
& ( ( v1_int_1(sK233(X0,X1))
& ( r2_hidden(sK233(X0,X1),X0)
| r2_hidden(sK233(X0,X1),X1) )
& ( ~ r2_hidden(sK233(X0,X1),X0)
| ~ r2_hidden(sK233(X0,X1),X1) ) )
| X0 = X1 ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK233]),skolemize(X2,sK233(X0,X1))],[f9599]) ).
fof(f9601,plain,
! [X0] :
( ~ v4_membered(X0)
| ! [X1] :
( ~ v4_membered(X1)
| ( ( ~ r1_tarski(X0,X1)
| ! [X2] :
( ~ v1_int_1(X2)
| ~ r2_hidden(X2,X0)
| r2_hidden(X2,X1) ) )
& ( ? [X2] :
( v1_int_1(X2)
& r2_hidden(X2,X0)
& ~ r2_hidden(X2,X1) )
| r1_tarski(X0,X1) ) ) ) ),
inference(nnf_transformation,[],[f7449]) ).
fof(f9602,plain,
! [X0] :
( ~ v4_membered(X0)
| ! [X1] :
( ~ v4_membered(X1)
| ( ( ~ r1_tarski(X0,X1)
| ! [X3] :
( ~ v1_int_1(X3)
| ~ r2_hidden(X3,X0)
| r2_hidden(X3,X1) ) )
& ( ? [X2] :
( v1_int_1(X2)
& r2_hidden(X2,X0)
& ~ r2_hidden(X2,X1) )
| r1_tarski(X0,X1) ) ) ) ),
inference(rectify,[],[f9601]) ).
fof(f9603,plain,
! [X0] :
( ~ v4_membered(X0)
| ! [X1] :
( ~ v4_membered(X1)
| ( ( ~ r1_tarski(X0,X1)
| ! [X3] :
( ~ v1_int_1(X3)
| ~ r2_hidden(X3,X0)
| r2_hidden(X3,X1) ) )
& ( ( v1_int_1(sK234(X0,X1))
& r2_hidden(sK234(X0,X1),X0)
& ~ r2_hidden(sK234(X0,X1),X1) )
| r1_tarski(X0,X1) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK234]),skolemize(X2,sK234(X0,X1))],[f9602]) ).
fof(f9604,plain,
! [X0] :
( ~ v4_membered(X0)
| ( v1_int_1(sK235(X0))
& ~ r2_hidden(sK235(X0),X0) )
| X0 = k4_numbers ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK235]),skolemize(X1,sK235(X0))],[f7453]) ).
fof(f9605,plain,
! [X0] :
( ~ v4_membered(X0)
| v1_xboole_0(X0)
| ( r2_hidden(sK236(X0),X0)
& v1_int_1(sK236(X0)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK236]),skolemize(X1,sK236(X0))],[f7455]) ).
fof(f9606,plain,
! [X0] :
( ( ~ v4_membered(X0)
| ! [X1] :
( ~ r2_hidden(X1,X0)
| v1_int_1(X1) ) )
& ( ? [X1] :
( r2_hidden(X1,X0)
& ~ v1_int_1(X1) )
| v4_membered(X0) ) ),
inference(nnf_transformation,[],[f7457]) ).
fof(f9607,plain,
! [X0] :
( ( ~ v4_membered(X0)
| ! [X2] :
( ~ r2_hidden(X2,X0)
| v1_int_1(X2) ) )
& ( ? [X1] :
( r2_hidden(X1,X0)
& ~ v1_int_1(X1) )
| v4_membered(X0) ) ),
inference(rectify,[],[f9606]) ).
fof(f9608,plain,
! [X0] :
( ( ~ v4_membered(X0)
| ! [X2] :
( ~ r2_hidden(X2,X0)
| v1_int_1(X2) ) )
& ( ( r2_hidden(sK237(X0),X0)
& ~ v1_int_1(sK237(X0)) )
| v4_membered(X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK237]),skolemize(X1,sK237(X0))],[f9607]) ).
fof(f9609,plain,
! [X0] :
( ( r2_hidden(sK238(X0),X0)
& ~ v3_membered(sK238(X0)) )
| v3_membered(k3_tarski(X0)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK238]),skolemize(X1,sK238(X0))],[f7473]) ).
fof(f9610,plain,
! [X0] :
( ( r2_hidden(sK239(X0),X0)
& ~ v2_membered(sK239(X0)) )
| v2_membered(k3_tarski(X0)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK239]),skolemize(X1,sK239(X0))],[f7487]) ).
fof(f9611,plain,
! [X0] :
( ~ v2_membered(X0)
| ! [X1] :
( ~ v2_membered(X1)
| ( ( ~ r1_xboole_0(X0,X1)
| ! [X2] :
( ~ v1_xreal_0(X2)
| ~ r2_hidden(X2,X1)
| ~ r2_hidden(X2,X0) ) )
& ( ? [X2] :
( v1_xreal_0(X2)
& r2_hidden(X2,X1)
& r2_hidden(X2,X0) )
| r1_xboole_0(X0,X1) ) ) ) ),
inference(nnf_transformation,[],[f7489]) ).
fof(f9612,plain,
! [X0] :
( ~ v2_membered(X0)
| ! [X1] :
( ~ v2_membered(X1)
| ( ( ~ r1_xboole_0(X0,X1)
| ! [X3] :
( ~ v1_xreal_0(X3)
| ~ r2_hidden(X3,X1)
| ~ r2_hidden(X3,X0) ) )
& ( ? [X2] :
( v1_xreal_0(X2)
& r2_hidden(X2,X1)
& r2_hidden(X2,X0) )
| r1_xboole_0(X0,X1) ) ) ) ),
inference(rectify,[],[f9611]) ).
fof(f9613,plain,
! [X0] :
( ~ v2_membered(X0)
| ! [X1] :
( ~ v2_membered(X1)
| ( ( ~ r1_xboole_0(X0,X1)
| ! [X3] :
( ~ v1_xreal_0(X3)
| ~ r2_hidden(X3,X1)
| ~ r2_hidden(X3,X0) ) )
& ( ( v1_xreal_0(sK240(X0,X1))
& r2_hidden(sK240(X0,X1),X1)
& r2_hidden(sK240(X0,X1),X0) )
| r1_xboole_0(X0,X1) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK240]),skolemize(X2,sK240(X0,X1))],[f9612]) ).
fof(f9614,plain,
! [X0] :
( ~ v2_membered(X0)
| ! [X1] :
( ~ v2_membered(X1)
| ( ( X0 != X1
| ! [X2] :
( ~ v1_xreal_0(X2)
| ( ( ~ r2_hidden(X2,X0)
| r2_hidden(X2,X1) )
& ( ~ r2_hidden(X2,X1)
| r2_hidden(X2,X0) ) ) ) )
& ( ? [X2] :
( v1_xreal_0(X2)
& ( r2_hidden(X2,X0)
| r2_hidden(X2,X1) )
& ( ~ r2_hidden(X2,X0)
| ~ r2_hidden(X2,X1) ) )
| X0 = X1 ) ) ) ),
inference(nnf_transformation,[],[f7490]) ).
fof(f9615,plain,
! [X0] :
( ~ v2_membered(X0)
| ! [X1] :
( ~ v2_membered(X1)
| ( ( X0 != X1
| ! [X2] :
( ~ v1_xreal_0(X2)
| ( ( ~ r2_hidden(X2,X0)
| r2_hidden(X2,X1) )
& ( ~ r2_hidden(X2,X1)
| r2_hidden(X2,X0) ) ) ) )
& ( ? [X2] :
( v1_xreal_0(X2)
& ( r2_hidden(X2,X0)
| r2_hidden(X2,X1) )
& ( ~ r2_hidden(X2,X0)
| ~ r2_hidden(X2,X1) ) )
| X0 = X1 ) ) ) ),
inference(flattening,[],[f9614]) ).
fof(f9616,plain,
! [X0] :
( ~ v2_membered(X0)
| ! [X1] :
( ~ v2_membered(X1)
| ( ( X0 != X1
| ! [X3] :
( ~ v1_xreal_0(X3)
| ( ( ~ r2_hidden(X3,X0)
| r2_hidden(X3,X1) )
& ( ~ r2_hidden(X3,X1)
| r2_hidden(X3,X0) ) ) ) )
& ( ? [X2] :
( v1_xreal_0(X2)
& ( r2_hidden(X2,X0)
| r2_hidden(X2,X1) )
& ( ~ r2_hidden(X2,X0)
| ~ r2_hidden(X2,X1) ) )
| X0 = X1 ) ) ) ),
inference(rectify,[],[f9615]) ).
fof(f9617,plain,
! [X0] :
( ~ v2_membered(X0)
| ! [X1] :
( ~ v2_membered(X1)
| ( ( X0 != X1
| ! [X3] :
( ~ v1_xreal_0(X3)
| ( ( ~ r2_hidden(X3,X0)
| r2_hidden(X3,X1) )
& ( ~ r2_hidden(X3,X1)
| r2_hidden(X3,X0) ) ) ) )
& ( ( v1_xreal_0(sK241(X0,X1))
& ( r2_hidden(sK241(X0,X1),X0)
| r2_hidden(sK241(X0,X1),X1) )
& ( ~ r2_hidden(sK241(X0,X1),X0)
| ~ r2_hidden(sK241(X0,X1),X1) ) )
| X0 = X1 ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK241]),skolemize(X2,sK241(X0,X1))],[f9616]) ).
fof(f9618,plain,
! [X0] :
( ~ v2_membered(X0)
| ! [X1] :
( ~ v2_membered(X1)
| ( ( ~ r1_tarski(X0,X1)
| ! [X2] :
( ~ v1_xreal_0(X2)
| ~ r2_hidden(X2,X0)
| r2_hidden(X2,X1) ) )
& ( ? [X2] :
( v1_xreal_0(X2)
& r2_hidden(X2,X0)
& ~ r2_hidden(X2,X1) )
| r1_tarski(X0,X1) ) ) ) ),
inference(nnf_transformation,[],[f7492]) ).
fof(f9619,plain,
! [X0] :
( ~ v2_membered(X0)
| ! [X1] :
( ~ v2_membered(X1)
| ( ( ~ r1_tarski(X0,X1)
| ! [X3] :
( ~ v1_xreal_0(X3)
| ~ r2_hidden(X3,X0)
| r2_hidden(X3,X1) ) )
& ( ? [X2] :
( v1_xreal_0(X2)
& r2_hidden(X2,X0)
& ~ r2_hidden(X2,X1) )
| r1_tarski(X0,X1) ) ) ) ),
inference(rectify,[],[f9618]) ).
fof(f9620,plain,
! [X0] :
( ~ v2_membered(X0)
| ! [X1] :
( ~ v2_membered(X1)
| ( ( ~ r1_tarski(X0,X1)
| ! [X3] :
( ~ v1_xreal_0(X3)
| ~ r2_hidden(X3,X0)
| r2_hidden(X3,X1) ) )
& ( ( v1_xreal_0(sK242(X0,X1))
& r2_hidden(sK242(X0,X1),X0)
& ~ r2_hidden(sK242(X0,X1),X1) )
| r1_tarski(X0,X1) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK242]),skolemize(X2,sK242(X0,X1))],[f9619]) ).
fof(f9621,plain,
! [X0] :
( ~ v2_membered(X0)
| ( v1_xreal_0(sK243(X0))
& ~ r2_hidden(sK243(X0),X0) )
| X0 = k1_numbers ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK243]),skolemize(X1,sK243(X0))],[f7496]) ).
fof(f9622,plain,
! [X0] :
( ~ v2_membered(X0)
| v1_xboole_0(X0)
| ( r2_hidden(sK244(X0),X0)
& v1_xreal_0(sK244(X0)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK244]),skolemize(X1,sK244(X0))],[f7498]) ).
fof(f9623,plain,
! [X0] :
( ( ~ v2_membered(X0)
| ! [X1] :
( ~ r2_hidden(X1,X0)
| v1_xreal_0(X1) ) )
& ( ? [X1] :
( r2_hidden(X1,X0)
& ~ v1_xreal_0(X1) )
| v2_membered(X0) ) ),
inference(nnf_transformation,[],[f7500]) ).
fof(f9624,plain,
! [X0] :
( ( ~ v2_membered(X0)
| ! [X2] :
( ~ r2_hidden(X2,X0)
| v1_xreal_0(X2) ) )
& ( ? [X1] :
( r2_hidden(X1,X0)
& ~ v1_xreal_0(X1) )
| v2_membered(X0) ) ),
inference(rectify,[],[f9623]) ).
fof(f9625,plain,
! [X0] :
( ( ~ v2_membered(X0)
| ! [X2] :
( ~ r2_hidden(X2,X0)
| v1_xreal_0(X2) ) )
& ( ( r2_hidden(sK245(X0),X0)
& ~ v1_xreal_0(sK245(X0)) )
| v2_membered(X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK245]),skolemize(X1,sK245(X0))],[f9624]) ).
fof(f9626,plain,
! [X0] :
( ( r2_hidden(sK246(X0),X0)
& ~ v1_membered(sK246(X0)) )
| v1_membered(k3_tarski(X0)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK246]),skolemize(X1,sK246(X0))],[f7513]) ).
fof(f9627,plain,
! [X0] :
( ~ v1_membered(X0)
| ! [X1] :
( ~ v1_membered(X1)
| ( ( ~ r1_xboole_0(X0,X1)
| ! [X2] :
( ~ v1_xcmplx_0(X2)
| ~ r2_hidden(X2,X1)
| ~ r2_hidden(X2,X0) ) )
& ( ? [X2] :
( v1_xcmplx_0(X2)
& r2_hidden(X2,X1)
& r2_hidden(X2,X0) )
| r1_xboole_0(X0,X1) ) ) ) ),
inference(nnf_transformation,[],[f7515]) ).
fof(f9628,plain,
! [X0] :
( ~ v1_membered(X0)
| ! [X1] :
( ~ v1_membered(X1)
| ( ( ~ r1_xboole_0(X0,X1)
| ! [X3] :
( ~ v1_xcmplx_0(X3)
| ~ r2_hidden(X3,X1)
| ~ r2_hidden(X3,X0) ) )
& ( ? [X2] :
( v1_xcmplx_0(X2)
& r2_hidden(X2,X1)
& r2_hidden(X2,X0) )
| r1_xboole_0(X0,X1) ) ) ) ),
inference(rectify,[],[f9627]) ).
fof(f9629,plain,
! [X0] :
( ~ v1_membered(X0)
| ! [X1] :
( ~ v1_membered(X1)
| ( ( ~ r1_xboole_0(X0,X1)
| ! [X3] :
( ~ v1_xcmplx_0(X3)
| ~ r2_hidden(X3,X1)
| ~ r2_hidden(X3,X0) ) )
& ( ( v1_xcmplx_0(sK247(X0,X1))
& r2_hidden(sK247(X0,X1),X1)
& r2_hidden(sK247(X0,X1),X0) )
| r1_xboole_0(X0,X1) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK247]),skolemize(X2,sK247(X0,X1))],[f9628]) ).
fof(f9630,plain,
! [X0] :
( ~ v1_membered(X0)
| ! [X1] :
( ~ v1_membered(X1)
| ( ( X0 != X1
| ! [X2] :
( ~ v1_xcmplx_0(X2)
| ( ( ~ r2_hidden(X2,X0)
| r2_hidden(X2,X1) )
& ( ~ r2_hidden(X2,X1)
| r2_hidden(X2,X0) ) ) ) )
& ( ? [X2] :
( v1_xcmplx_0(X2)
& ( r2_hidden(X2,X0)
| r2_hidden(X2,X1) )
& ( ~ r2_hidden(X2,X0)
| ~ r2_hidden(X2,X1) ) )
| X0 = X1 ) ) ) ),
inference(nnf_transformation,[],[f7516]) ).
fof(f9631,plain,
! [X0] :
( ~ v1_membered(X0)
| ! [X1] :
( ~ v1_membered(X1)
| ( ( X0 != X1
| ! [X2] :
( ~ v1_xcmplx_0(X2)
| ( ( ~ r2_hidden(X2,X0)
| r2_hidden(X2,X1) )
& ( ~ r2_hidden(X2,X1)
| r2_hidden(X2,X0) ) ) ) )
& ( ? [X2] :
( v1_xcmplx_0(X2)
& ( r2_hidden(X2,X0)
| r2_hidden(X2,X1) )
& ( ~ r2_hidden(X2,X0)
| ~ r2_hidden(X2,X1) ) )
| X0 = X1 ) ) ) ),
inference(flattening,[],[f9630]) ).
fof(f9632,plain,
! [X0] :
( ~ v1_membered(X0)
| ! [X1] :
( ~ v1_membered(X1)
| ( ( X0 != X1
| ! [X3] :
( ~ v1_xcmplx_0(X3)
| ( ( ~ r2_hidden(X3,X0)
| r2_hidden(X3,X1) )
& ( ~ r2_hidden(X3,X1)
| r2_hidden(X3,X0) ) ) ) )
& ( ? [X2] :
( v1_xcmplx_0(X2)
& ( r2_hidden(X2,X0)
| r2_hidden(X2,X1) )
& ( ~ r2_hidden(X2,X0)
| ~ r2_hidden(X2,X1) ) )
| X0 = X1 ) ) ) ),
inference(rectify,[],[f9631]) ).
fof(f9633,plain,
! [X0] :
( ~ v1_membered(X0)
| ! [X1] :
( ~ v1_membered(X1)
| ( ( X0 != X1
| ! [X3] :
( ~ v1_xcmplx_0(X3)
| ( ( ~ r2_hidden(X3,X0)
| r2_hidden(X3,X1) )
& ( ~ r2_hidden(X3,X1)
| r2_hidden(X3,X0) ) ) ) )
& ( ( v1_xcmplx_0(sK248(X0,X1))
& ( r2_hidden(sK248(X0,X1),X0)
| r2_hidden(sK248(X0,X1),X1) )
& ( ~ r2_hidden(sK248(X0,X1),X0)
| ~ r2_hidden(sK248(X0,X1),X1) ) )
| X0 = X1 ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK248]),skolemize(X2,sK248(X0,X1))],[f9632]) ).
fof(f9634,plain,
! [X0] :
( ~ v1_membered(X0)
| ! [X1] :
( ~ v1_membered(X1)
| ( ( ~ r1_tarski(X0,X1)
| ! [X2] :
( ~ v1_xcmplx_0(X2)
| ~ r2_hidden(X2,X0)
| r2_hidden(X2,X1) ) )
& ( ? [X2] :
( v1_xcmplx_0(X2)
& r2_hidden(X2,X0)
& ~ r2_hidden(X2,X1) )
| r1_tarski(X0,X1) ) ) ) ),
inference(nnf_transformation,[],[f7518]) ).
fof(f9635,plain,
! [X0] :
( ~ v1_membered(X0)
| ! [X1] :
( ~ v1_membered(X1)
| ( ( ~ r1_tarski(X0,X1)
| ! [X3] :
( ~ v1_xcmplx_0(X3)
| ~ r2_hidden(X3,X0)
| r2_hidden(X3,X1) ) )
& ( ? [X2] :
( v1_xcmplx_0(X2)
& r2_hidden(X2,X0)
& ~ r2_hidden(X2,X1) )
| r1_tarski(X0,X1) ) ) ) ),
inference(rectify,[],[f9634]) ).
fof(f9636,plain,
! [X0] :
( ~ v1_membered(X0)
| ! [X1] :
( ~ v1_membered(X1)
| ( ( ~ r1_tarski(X0,X1)
| ! [X3] :
( ~ v1_xcmplx_0(X3)
| ~ r2_hidden(X3,X0)
| r2_hidden(X3,X1) ) )
& ( ( v1_xcmplx_0(sK249(X0,X1))
& r2_hidden(sK249(X0,X1),X0)
& ~ r2_hidden(sK249(X0,X1),X1) )
| r1_tarski(X0,X1) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK249]),skolemize(X2,sK249(X0,X1))],[f9635]) ).
fof(f9637,plain,
! [X0] :
( ~ v1_membered(X0)
| v1_xboole_0(X0)
| ( r2_hidden(sK250(X0),X0)
& v1_xcmplx_0(sK250(X0)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK250]),skolemize(X1,sK250(X0))],[f7522]) ).
fof(f9638,plain,
! [X0] :
( ( ~ v1_membered(X0)
| ! [X1] :
( ~ r2_hidden(X1,X0)
| v1_xcmplx_0(X1) ) )
& ( ? [X1] :
( r2_hidden(X1,X0)
& ~ v1_xcmplx_0(X1) )
| v1_membered(X0) ) ),
inference(nnf_transformation,[],[f7523]) ).
fof(f9639,plain,
! [X0] :
( ( ~ v1_membered(X0)
| ! [X2] :
( ~ r2_hidden(X2,X0)
| v1_xcmplx_0(X2) ) )
& ( ? [X1] :
( r2_hidden(X1,X0)
& ~ v1_xcmplx_0(X1) )
| v1_membered(X0) ) ),
inference(rectify,[],[f9638]) ).
fof(f9640,plain,
! [X0] :
( ( ~ v1_membered(X0)
| ! [X2] :
( ~ r2_hidden(X2,X0)
| v1_xcmplx_0(X2) ) )
& ( ( r2_hidden(sK251(X0),X0)
& ~ v1_xcmplx_0(sK251(X0)) )
| v1_membered(X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK251]),skolemize(X1,sK251(X0))],[f9639]) ).
fof(f9641,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ! [X2] :
( ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ! [X3] :
( ~ m1_subset_1(X3,k1_zfmisc_1(X0))
| ? [X4] :
( m1_subset_1(X4,X0)
& ( r2_hidden(X4,X1)
| r2_hidden(X4,X3)
| r2_hidden(X4,X2) )
& ( ~ r2_hidden(X4,X1)
| ( ~ r2_hidden(X4,X3)
& ~ r2_hidden(X4,X2) ) ) )
| X1 = k4_subset_1(X0,X2,X3) ) ) ),
inference(nnf_transformation,[],[f7568]) ).
fof(f9642,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ! [X2] :
( ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ! [X3] :
( ~ m1_subset_1(X3,k1_zfmisc_1(X0))
| ? [X4] :
( m1_subset_1(X4,X0)
& ( r2_hidden(X4,X1)
| r2_hidden(X4,X3)
| r2_hidden(X4,X2) )
& ( ~ r2_hidden(X4,X1)
| ( ~ r2_hidden(X4,X3)
& ~ r2_hidden(X4,X2) ) ) )
| X1 = k4_subset_1(X0,X2,X3) ) ) ),
inference(flattening,[],[f9641]) ).
fof(f9643,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ! [X2] :
( ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ! [X3] :
( ~ m1_subset_1(X3,k1_zfmisc_1(X0))
| ( m1_subset_1(sK252(X0,X1,X2,X3),X0)
& ( r2_hidden(sK252(X0,X1,X2,X3),X1)
| r2_hidden(sK252(X0,X1,X2,X3),X3)
| r2_hidden(sK252(X0,X1,X2,X3),X2) )
& ( ~ r2_hidden(sK252(X0,X1,X2,X3),X1)
| ( ~ r2_hidden(sK252(X0,X1,X2,X3),X3)
& ~ r2_hidden(sK252(X0,X1,X2,X3),X2) ) ) )
| X1 = k4_subset_1(X0,X2,X3) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK252]),skolemize(X4,sK252(X0,X1,X2,X3))],[f9642]) ).
fof(f9644,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| m1_pre_topc(sK253(X0),X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK253]),skolemize(X1,sK253(X0))],[f7570]) ).
fof(f9645,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ! [X2] :
( ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ! [X3] :
( ~ m1_subset_1(X3,k1_zfmisc_1(X0))
| ? [X4] :
( m1_subset_1(X4,X0)
& ( r2_hidden(X4,X1)
| ( r2_hidden(X4,X3)
& r2_hidden(X4,X2) ) )
& ( ~ r2_hidden(X4,X1)
| ~ r2_hidden(X4,X3)
| ~ r2_hidden(X4,X2) ) )
| X1 = k5_subset_1(X0,X2,X3) ) ) ),
inference(nnf_transformation,[],[f7596]) ).
fof(f9646,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ! [X2] :
( ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ! [X3] :
( ~ m1_subset_1(X3,k1_zfmisc_1(X0))
| ? [X4] :
( m1_subset_1(X4,X0)
& ( r2_hidden(X4,X1)
| ( r2_hidden(X4,X3)
& r2_hidden(X4,X2) ) )
& ( ~ r2_hidden(X4,X1)
| ~ r2_hidden(X4,X3)
| ~ r2_hidden(X4,X2) ) )
| X1 = k5_subset_1(X0,X2,X3) ) ) ),
inference(flattening,[],[f9645]) ).
fof(f9647,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ! [X2] :
( ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ! [X3] :
( ~ m1_subset_1(X3,k1_zfmisc_1(X0))
| ( m1_subset_1(sK254(X0,X1,X2,X3),X0)
& ( r2_hidden(sK254(X0,X1,X2,X3),X1)
| ( r2_hidden(sK254(X0,X1,X2,X3),X3)
& r2_hidden(sK254(X0,X1,X2,X3),X2) ) )
& ( ~ r2_hidden(sK254(X0,X1,X2,X3),X1)
| ~ r2_hidden(sK254(X0,X1,X2,X3),X3)
| ~ r2_hidden(sK254(X0,X1,X2,X3),X2) ) )
| X1 = k5_subset_1(X0,X2,X3) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK254]),skolemize(X4,sK254(X0,X1,X2,X3))],[f9646]) ).
fof(f9648,plain,
! [X0] :
( v1_xboole_0(X0)
| ( v1_finset_1(sK255(X0))
& ~ v1_xboole_0(sK255(X0))
& m1_subset_1(sK255(X0),k5_finsub_1(X0)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK255]),skolemize(X1,sK255(X0))],[f7597]) ).
fof(f9649,plain,
! [X0] :
( v1_xboole_0(X0)
| ( m1_subset_1(sK256(X0),k5_finsub_1(X0))
& ~ v1_xboole_0(sK256(X0)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK256]),skolemize(X1,sK256(X0))],[f7598]) ).
fof(f9650,plain,
! [X0] :
( v1_xboole_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,k5_finsub_1(X0))
| ( m1_subset_1(sK257(X0,X1),X0)
& r2_hidden(sK257(X0,X1),X1) )
| k1_xboole_0 = X1 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK257]),skolemize(X2,sK257(X0,X1))],[f7600]) ).
fof(f9651,plain,
! [X0] :
( v1_xboole_0(X0)
| ( v1_finset_1(sK258(X0))
& ~ v1_xboole_0(sK258(X0))
& m1_subset_1(sK258(X0),k5_finsub_1(X0)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK258]),skolemize(X1,sK258(X0))],[f7603]) ).
fof(f9652,plain,
! [X0] :
( v1_finset_1(sK259(X0))
& v1_xboole_0(sK259(X0))
& m1_subset_1(sK259(X0),k5_finsub_1(X0)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK259]),skolemize(X1,sK259(X0))],[f2430]) ).
fof(f9653,plain,
! [X0] :
( ( ~ v1_finset_1(X0)
| ? [X1] :
( k1_card_1(X0) = k1_card_1(X1)
& m2_subset_1(X1,k1_numbers,k5_numbers) ) )
& ( ! [X1] :
( k1_card_1(X0) != k1_card_1(X1)
| ~ m2_subset_1(X1,k1_numbers,k5_numbers) )
| v1_finset_1(X0) ) ),
inference(nnf_transformation,[],[f4114]) ).
fof(f9654,plain,
! [X0] :
( ( ~ v1_finset_1(X0)
| ? [X2] :
( k1_card_1(X0) = k1_card_1(X2)
& m2_subset_1(X2,k1_numbers,k5_numbers) ) )
& ( ! [X1] :
( k1_card_1(X0) != k1_card_1(X1)
| ~ m2_subset_1(X1,k1_numbers,k5_numbers) )
| v1_finset_1(X0) ) ),
inference(rectify,[],[f9653]) ).
fof(f9655,plain,
! [X0] :
( ( ~ v1_finset_1(X0)
| ( k1_card_1(X0) = k1_card_1(sK260(X0))
& m2_subset_1(sK260(X0),k1_numbers,k5_numbers) ) )
& ( ! [X1] :
( k1_card_1(X0) != k1_card_1(X1)
| ~ m2_subset_1(X1,k1_numbers,k5_numbers) )
| v1_finset_1(X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK260]),skolemize(X2,sK260(X0))],[f9654]) ).
fof(f9656,plain,
! [X0] :
( ( ~ v1_finset_1(X0)
| v1_finset_1(k1_card_1(X0)) )
& ( ~ v1_finset_1(k1_card_1(X0))
| v1_finset_1(X0) ) ),
inference(nnf_transformation,[],[f4111]) ).
fof(f9657,plain,
( v1_finset_1(sK261)
& v1_funct_1(sK261)
& v1_relat_1(sK261)
& ~ v1_xboole_0(sK261) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK261]),skolemize(X0,sK261)],[f3242]) ).
fof(f9658,plain,
( v1_finset_1(sK262)
& v2_funct_1(sK262)
& v1_funct_1(sK262)
& v1_relat_1(sK262)
& v1_xboole_0(sK262) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK262]),skolemize(X0,sK262)],[f3241]) ).
fof(f9659,plain,
! [X0] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ( ( ~ v1_finset_1(k1_relat_1(X0))
| v1_finset_1(X0) )
& ( ~ v1_finset_1(X0)
| v1_finset_1(k1_relat_1(X0)) ) ) ),
inference(nnf_transformation,[],[f7617]) ).
fof(f9660,plain,
! [X0] :
( ( ~ v1_finset_1(X0)
| v1_finset_1(k1_zfmisc_1(X0)) )
& ( ~ v1_finset_1(k1_zfmisc_1(X0))
| v1_finset_1(X0) ) ),
inference(nnf_transformation,[],[f2361]) ).
fof(f9661,plain,
! [X0] :
( ~ v1_finset_1(X0)
| ! [X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(X0)))
| ( ! [X3] :
( ~ r1_tarski(sK263(X1),X3)
| ~ r2_hidden(X3,X1)
| sK263(X1) = X3 )
& r2_hidden(sK263(X1),X1) )
| k1_xboole_0 = X1 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK263]),skolemize(X2,sK263(X1))],[f7627]) ).
fof(f9662,plain,
! [X0] :
( v1_xboole_0(X0)
| ( v1_finset_1(sK264(X0))
& ~ v1_xboole_0(sK264(X0))
& m1_subset_1(sK264(X0),k1_zfmisc_1(X0)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK264]),skolemize(X1,sK264(X0))],[f7631]) ).
fof(f9663,plain,
! [X0] :
( v1_xboole_0(X0)
| ( v1_finset_1(sK265(X0))
& ~ v1_xboole_0(sK265(X0))
& m1_subset_1(sK265(X0),k1_zfmisc_1(X0)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK265]),skolemize(X1,sK265(X0))],[f7636]) ).
fof(f9664,plain,
( v1_finset_1(sK266)
& ~ v1_xboole_0(sK266) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK266]),skolemize(X0,sK266)],[f2314]) ).
fof(f9665,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,X0)
| ( ! [X3] :
( ~ r2_hidden(X3,k2_zfmisc_1(k4_xboole_0(X0,k1_tarski(X1)),k4_xboole_0(X0,k1_tarski(X1))))
| r2_hidden(k1_funct_1(sK267(X0,X1),X3),k4_xboole_0(X0,k1_tarski(X1))) )
& m2_relset_1(sK267(X0,X1),k2_zfmisc_1(X0,X0),X0)
& v1_funct_2(sK267(X0,X1),k2_zfmisc_1(X0,X0),X0)
& v1_funct_1(sK267(X0,X1)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK267]),skolemize(X2,sK267(X0,X1))],[f7638]) ).
fof(f9666,plain,
( ! [X1] :
( ~ m1_subset_1(X1,sK268)
| ~ v1_xboole_0(k4_xboole_0(sK268,k1_tarski(X1))) )
& ~ v1_xboole_0(sK268) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK268]),skolemize(X0,sK268)],[f7639]) ).
fof(f9667,plain,
! [X0,X1] :
( ( k1_xboole_0 != k4_xboole_0(k1_tarski(X0),X1)
| r2_hidden(X0,X1) )
& ( ~ r2_hidden(X0,X1)
| k4_xboole_0(k1_tarski(X0),X1) = k1_xboole_0 ) ),
inference(nnf_transformation,[],[f393]) ).
fof(f9669,plain,
! [X0,X1] :
( ( k4_xboole_0(X0,k1_tarski(X1)) != X0
| ~ r2_hidden(X1,X0) )
& ( r2_hidden(X1,X0)
| k4_xboole_0(X0,k1_tarski(X1)) = X0 ) ),
inference(nnf_transformation,[],[f390]) ).
fof(f9670,plain,
! [X0,X1,X2] :
( ( ~ r2_hidden(X0,k4_xboole_0(X1,k1_tarski(X2)))
| ( X0 != X2
& r2_hidden(X0,X1) ) )
& ( X0 = X2
| ~ r2_hidden(X0,X1)
| r2_hidden(X0,k4_xboole_0(X1,k1_tarski(X2))) ) ),
inference(nnf_transformation,[],[f389]) ).
fof(f9671,plain,
! [X0,X1,X2] :
( ( ~ r2_hidden(X0,k4_xboole_0(X1,k1_tarski(X2)))
| ( X0 != X2
& r2_hidden(X0,X1) ) )
& ( X0 = X2
| ~ r2_hidden(X0,X1)
| r2_hidden(X0,k4_xboole_0(X1,k1_tarski(X2))) ) ),
inference(flattening,[],[f9670]) ).
fof(f9672,plain,
! [X0,X1] :
( ( k1_tarski(X0) != k4_xboole_0(k1_tarski(X0),k1_tarski(X1))
| X0 != X1 )
& ( X0 = X1
| k4_xboole_0(k1_tarski(X0),k1_tarski(X1)) = k1_tarski(X0) ) ),
inference(nnf_transformation,[],[f345]) ).
fof(f9673,plain,
! [X0,X1] :
( ( k1_xboole_0 != k4_xboole_0(X0,X1)
| r1_tarski(X0,X1) )
& ( ~ r1_tarski(X0,X1)
| k4_xboole_0(X0,X1) = k1_xboole_0 ) ),
inference(nnf_transformation,[],[f106]) ).
fof(f9674,plain,
! [X0,X1,X2] :
( ( k4_xboole_0(X0,X1) != X2
| ! [X3] :
( ( ~ r2_hidden(X3,X2)
| ( ~ r2_hidden(X3,X1)
& r2_hidden(X3,X0) ) )
& ( r2_hidden(X3,X1)
| ~ r2_hidden(X3,X0)
| r2_hidden(X3,X2) ) ) )
& ( ? [X3] :
( ( r2_hidden(X3,X2)
| ( ~ r2_hidden(X3,X1)
& r2_hidden(X3,X0) ) )
& ( ~ r2_hidden(X3,X2)
| r2_hidden(X3,X1)
| ~ r2_hidden(X3,X0) ) )
| X2 = k4_xboole_0(X0,X1) ) ),
inference(nnf_transformation,[],[f32]) ).
fof(f9675,plain,
! [X0,X1,X2] :
( ( k4_xboole_0(X0,X1) != X2
| ! [X3] :
( ( ~ r2_hidden(X3,X2)
| ( ~ r2_hidden(X3,X1)
& r2_hidden(X3,X0) ) )
& ( r2_hidden(X3,X1)
| ~ r2_hidden(X3,X0)
| r2_hidden(X3,X2) ) ) )
& ( ? [X3] :
( ( r2_hidden(X3,X2)
| ( ~ r2_hidden(X3,X1)
& r2_hidden(X3,X0) ) )
& ( ~ r2_hidden(X3,X2)
| r2_hidden(X3,X1)
| ~ r2_hidden(X3,X0) ) )
| X2 = k4_xboole_0(X0,X1) ) ),
inference(flattening,[],[f9674]) ).
fof(f9676,plain,
! [X0,X1,X2] :
( ( k4_xboole_0(X0,X1) != X2
| ! [X4] :
( ( ~ r2_hidden(X4,X2)
| ( ~ r2_hidden(X4,X1)
& r2_hidden(X4,X0) ) )
& ( r2_hidden(X4,X1)
| ~ r2_hidden(X4,X0)
| r2_hidden(X4,X2) ) ) )
& ( ? [X3] :
( ( r2_hidden(X3,X2)
| ( ~ r2_hidden(X3,X1)
& r2_hidden(X3,X0) ) )
& ( ~ r2_hidden(X3,X2)
| r2_hidden(X3,X1)
| ~ r2_hidden(X3,X0) ) )
| X2 = k4_xboole_0(X0,X1) ) ),
inference(rectify,[],[f9675]) ).
fof(f9677,plain,
! [X0,X1,X2] :
( ( k4_xboole_0(X0,X1) != X2
| ! [X4] :
( ( ~ r2_hidden(X4,X2)
| ( ~ r2_hidden(X4,X1)
& r2_hidden(X4,X0) ) )
& ( r2_hidden(X4,X1)
| ~ r2_hidden(X4,X0)
| r2_hidden(X4,X2) ) ) )
& ( ( ( r2_hidden(sK269(X0,X1,X2),X2)
| ( ~ r2_hidden(sK269(X0,X1,X2),X1)
& r2_hidden(sK269(X0,X1,X2),X0) ) )
& ( ~ r2_hidden(sK269(X0,X1,X2),X2)
| r2_hidden(sK269(X0,X1,X2),X1)
| ~ r2_hidden(sK269(X0,X1,X2),X0) ) )
| X2 = k4_xboole_0(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK269]),skolemize(X3,sK269(X0,X1,X2))],[f9676]) ).
fof(f9678,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| ! [X3] :
( ~ m1_subset_1(X3,u1_struct_0(X0))
| ! [X4] :
( ~ m1_lattice4(X4,X0,X1)
| ~ v1_lattice4(X4,X0,X1)
| ( ( ~ r3_lattices(X0,X2,X3)
| r3_lattices(X1,k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X4,X2),k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X4,X3)) )
& ( ~ r3_lattices(X1,k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X4,X2),k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X4,X3))
| r3_lattices(X0,X2,X3) ) ) ) ) ) ) ),
inference(nnf_transformation,[],[f7659]) ).
fof(f9679,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ! [X2] :
( ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X2)
| ( ( ~ v1_lattice4(X2,X0,X1)
| v2_funct_1(X2) )
& ( ~ v2_funct_1(X2)
| v1_lattice4(X2,X0,X1) ) ) ) ) ),
inference(nnf_transformation,[],[f7661]) ).
fof(f9680,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ! [X2] :
( ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X2)
| ~ v2_lattice4(X2,X0,X1)
| ! [X3] :
( ~ m1_subset_1(X3,u1_struct_0(X1))
| ( k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,sK270(X0,X1,X2,X3)) = X3
& m1_subset_1(sK270(X0,X1,X2,X3),u1_struct_0(X0)) ) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK270]),skolemize(X4,sK270(X0,X1,X2,X3))],[f7665]) ).
fof(f9681,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ! [X2] :
( ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X2)
| ( ( ~ v2_lattice4(X2,X0,X1)
| k2_relat_1(X2) = u1_struct_0(X1) )
& ( k2_relat_1(X2) != u1_struct_0(X1)
| v2_lattice4(X2,X0,X1) ) ) ) ) ),
inference(nnf_transformation,[],[f7667]) ).
fof(f9682,plain,
! [X0] :
( ~ l3_lattices(X0)
| v3_realset2(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ! [X2] :
( ~ m1_filter_0(X2,X0)
| ( ( ~ r2_hidden(X2,k1_funct_1(k8_lopclset(X0),X1))
| ( r2_hidden(X1,X2)
& v1_filter_0(X2,X0) ) )
& ( ~ r2_hidden(X1,X2)
| ~ v1_filter_0(X2,X0)
| r2_hidden(X2,k1_funct_1(k8_lopclset(X0),X1)) ) ) ) ) ),
inference(nnf_transformation,[],[f7673]) ).
fof(f9683,plain,
! [X0] :
( ~ l3_lattices(X0)
| v3_realset2(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ! [X2] :
( ~ m1_filter_0(X2,X0)
| ( ( ~ r2_hidden(X2,k1_funct_1(k8_lopclset(X0),X1))
| ( r2_hidden(X1,X2)
& v1_filter_0(X2,X0) ) )
& ( ~ r2_hidden(X1,X2)
| ~ v1_filter_0(X2,X0)
| r2_hidden(X2,k1_funct_1(k8_lopclset(X0),X1)) ) ) ) ) ),
inference(flattening,[],[f9682]) ).
fof(f9684,plain,
! [X0,X1] :
( ~ l3_lattices(X1)
| v3_realset2(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X1))
| ( ( ~ r2_hidden(X0,k1_funct_1(k8_lopclset(X1),X2))
| ? [X3] :
( r2_hidden(X2,X3)
& v1_filter_0(X3,X1)
& X3 = X0
& m1_filter_0(X3,X1) ) )
& ( ! [X3] :
( ~ r2_hidden(X2,X3)
| ~ v1_filter_0(X3,X1)
| X0 != X3
| ~ m1_filter_0(X3,X1) )
| r2_hidden(X0,k1_funct_1(k8_lopclset(X1),X2)) ) ) ) ),
inference(nnf_transformation,[],[f7675]) ).
fof(f9685,plain,
! [X0,X1] :
( ~ l3_lattices(X1)
| v3_realset2(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X1))
| ( ( ~ r2_hidden(X0,k1_funct_1(k8_lopclset(X1),X2))
| ? [X4] :
( r2_hidden(X2,X4)
& v1_filter_0(X4,X1)
& X0 = X4
& m1_filter_0(X4,X1) ) )
& ( ! [X3] :
( ~ r2_hidden(X2,X3)
| ~ v1_filter_0(X3,X1)
| X0 != X3
| ~ m1_filter_0(X3,X1) )
| r2_hidden(X0,k1_funct_1(k8_lopclset(X1),X2)) ) ) ) ),
inference(rectify,[],[f9684]) ).
fof(f9686,plain,
! [X0,X1] :
( ~ l3_lattices(X1)
| v3_realset2(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X1))
| ( ( ~ r2_hidden(X0,k1_funct_1(k8_lopclset(X1),X2))
| ( r2_hidden(X2,sK271(X0,X1,X2))
& v1_filter_0(sK271(X0,X1,X2),X1)
& sK271(X0,X1,X2) = X0
& m1_filter_0(sK271(X0,X1,X2),X1) ) )
& ( ! [X3] :
( ~ r2_hidden(X2,X3)
| ~ v1_filter_0(X3,X1)
| X0 != X3
| ~ m1_filter_0(X3,X1) )
| r2_hidden(X0,k1_funct_1(k8_lopclset(X1),X2)) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK271]),skolemize(X4,sK271(X0,X1,X2))],[f9685]) ).
fof(f9687,plain,
! [X0,X1] :
( ~ l3_lattices(X1)
| v3_realset2(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ( m1_subset_1(sK272(X0,X1),k5_finsub_1(X0))
& k7_lopclset(X1) = k3_tarski(sK272(X0,X1)) )
| ~ m1_subset_1(X0,k1_zfmisc_1(k10_lopclset(X1)))
| k3_tarski(X0) != k7_lopclset(X1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK272]),skolemize(X2,sK272(X0,X1))],[f7681]) ).
fof(f9688,plain,
! [X0,X1] :
( ~ l3_lattices(X1)
| v3_realset2(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ( ( ~ r2_hidden(X0,k10_lopclset(X1))
| ? [X2] :
( k8_funct_2(u1_struct_0(X1),k1_zfmisc_1(k7_lopclset(X1)),k9_lopclset(X1),X2) = X0
& m1_subset_1(X2,u1_struct_0(X1)) ) )
& ( ! [X2] :
( k8_funct_2(u1_struct_0(X1),k1_zfmisc_1(k7_lopclset(X1)),k9_lopclset(X1),X2) != X0
| ~ m1_subset_1(X2,u1_struct_0(X1)) )
| r2_hidden(X0,k10_lopclset(X1)) ) ) ),
inference(nnf_transformation,[],[f7685]) ).
fof(f9689,plain,
! [X0,X1] :
( ~ l3_lattices(X1)
| v3_realset2(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ( ( ~ r2_hidden(X0,k10_lopclset(X1))
| ? [X3] :
( k8_funct_2(u1_struct_0(X1),k1_zfmisc_1(k7_lopclset(X1)),k9_lopclset(X1),X3) = X0
& m1_subset_1(X3,u1_struct_0(X1)) ) )
& ( ! [X2] :
( k8_funct_2(u1_struct_0(X1),k1_zfmisc_1(k7_lopclset(X1)),k9_lopclset(X1),X2) != X0
| ~ m1_subset_1(X2,u1_struct_0(X1)) )
| r2_hidden(X0,k10_lopclset(X1)) ) ) ),
inference(rectify,[],[f9688]) ).
fof(f9690,plain,
! [X0,X1] :
( ~ l3_lattices(X1)
| v3_realset2(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ( ( ~ r2_hidden(X0,k10_lopclset(X1))
| ( k8_funct_2(u1_struct_0(X1),k1_zfmisc_1(k7_lopclset(X1)),k9_lopclset(X1),sK273(X0,X1)) = X0
& m1_subset_1(sK273(X0,X1),u1_struct_0(X1)) ) )
& ( ! [X2] :
( k8_funct_2(u1_struct_0(X1),k1_zfmisc_1(k7_lopclset(X1)),k9_lopclset(X1),X2) != X0
| ~ m1_subset_1(X2,u1_struct_0(X1)) )
| r2_hidden(X0,k10_lopclset(X1)) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK273]),skolemize(X3,sK273(X0,X1))],[f9689]) ).
fof(f9691,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ( v2_pre_topc(sK274(X0))
& m1_pre_topc(sK274(X0),X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK274]),skolemize(X1,sK274(X0))],[f7701]) ).
fof(f9692,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| v3_struct_0(X0)
| ( ~ v3_struct_0(sK275(X0))
& m1_pre_topc(sK275(X0),X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK275]),skolemize(X1,sK275(X0))],[f7703]) ).
fof(f9693,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| m1_pre_topc(sK276(X0),X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK276]),skolemize(X1,sK276(X0))],[f7704]) ).
fof(f9694,plain,
( v2_pre_topc(sK277)
& ~ v3_struct_0(sK277)
& l1_pre_topc(sK277) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK277]),skolemize(X0,sK277)],[f6535]) ).
fof(f9695,plain,
l1_pre_topc(sK278),
inference(skolemize,[status(esa),new_symbols(skolem,[sK278]),skolemize(X0,sK278)],[f6536]) ).
fof(f9702,plain,
! [X0] :
( ~ l1_struct_0(X0)
| ( ( ~ v6_group_1(X0)
| v1_finset_1(u1_struct_0(X0)) )
& ( ~ v1_finset_1(u1_struct_0(X0))
| v6_group_1(X0) ) ) ),
inference(nnf_transformation,[],[f7737]) ).
fof(f9703,plain,
! [X0] :
( v1_xboole_0(X0)
| ! [X1] :
( v1_xboole_0(X1)
| ! [X2] :
( ~ m2_relset_1(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X2)
| ~ v1_setwiseo(X2,X1)
| ~ v3_binop_1(X2,X1)
| ~ v2_binop_1(X2,X1)
| ~ v1_binop_1(X2,X1)
| ! [X3] :
( v1_xboole_0(X3)
| ! [X4] :
( ~ m2_relset_1(X4,k2_zfmisc_1(X3,X3),X3)
| ~ v1_funct_2(X4,k2_zfmisc_1(X3,X3),X3)
| ~ v1_funct_1(X4)
| ~ v1_setwiseo(X4,X3)
| ~ v3_binop_1(X4,X3)
| ~ v2_binop_1(X4,X3)
| ~ v1_binop_1(X4,X3)
| ! [X5] :
( ~ m2_relset_1(X5,X0,X1)
| ~ v1_funct_2(X5,X0,X1)
| ~ v1_funct_1(X5)
| ! [X6] :
( ~ m2_relset_1(X6,X1,X3)
| ~ v1_funct_2(X6,X1,X3)
| ~ v1_funct_1(X6)
| ? [X8] :
( m1_subset_1(X8,X1)
& ? [X9] :
( m1_subset_1(X9,X1)
& k8_funct_2(X1,X3,X6,k2_binop_1(X1,X1,X1,X2,X8,X9)) != k2_binop_1(X3,X3,X3,X4,k8_funct_2(X1,X3,X6,X8),k8_funct_2(X1,X3,X6,X9)) ) )
| k8_funct_2(X1,X3,X6,k3_binop_1(X1,X2)) != k3_binop_1(X3,X4)
| ! [X7] :
( ~ m1_subset_1(X7,k5_finsub_1(X0))
| k8_funct_2(X1,X3,X6,k7_setwiseo(X0,X1,X2,X7,X5)) = k7_setwiseo(X0,X3,X4,X7,k7_funct_2(X0,X1,X3,X5,X6)) ) ) ) ) ) ) ) ),
inference(rectify,[],[f7753]) ).
fof(f9704,plain,
! [X0] :
( v1_xboole_0(X0)
| ! [X1] :
( v1_xboole_0(X1)
| ! [X2] :
( ~ m2_relset_1(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X2)
| ~ v1_setwiseo(X2,X1)
| ~ v3_binop_1(X2,X1)
| ~ v2_binop_1(X2,X1)
| ~ v1_binop_1(X2,X1)
| ! [X3] :
( v1_xboole_0(X3)
| ! [X4] :
( ~ m2_relset_1(X4,k2_zfmisc_1(X3,X3),X3)
| ~ v1_funct_2(X4,k2_zfmisc_1(X3,X3),X3)
| ~ v1_funct_1(X4)
| ~ v1_setwiseo(X4,X3)
| ~ v3_binop_1(X4,X3)
| ~ v2_binop_1(X4,X3)
| ~ v1_binop_1(X4,X3)
| ! [X5] :
( ~ m2_relset_1(X5,X0,X1)
| ~ v1_funct_2(X5,X0,X1)
| ~ v1_funct_1(X5)
| ! [X6] :
( ~ m2_relset_1(X6,X1,X3)
| ~ v1_funct_2(X6,X1,X3)
| ~ v1_funct_1(X6)
| ( m1_subset_1(sK280(X1,X2,X3,X4,X6),X1)
& m1_subset_1(sK281(X1,X2,X3,X4,X6),X1)
& k8_funct_2(X1,X3,X6,k2_binop_1(X1,X1,X1,X2,sK280(X1,X2,X3,X4,X6),sK281(X1,X2,X3,X4,X6))) != k2_binop_1(X3,X3,X3,X4,k8_funct_2(X1,X3,X6,sK280(X1,X2,X3,X4,X6)),k8_funct_2(X1,X3,X6,sK281(X1,X2,X3,X4,X6))) )
| k8_funct_2(X1,X3,X6,k3_binop_1(X1,X2)) != k3_binop_1(X3,X4)
| ! [X7] :
( ~ m1_subset_1(X7,k5_finsub_1(X0))
| k8_funct_2(X1,X3,X6,k7_setwiseo(X0,X1,X2,X7,X5)) = k7_setwiseo(X0,X3,X4,X7,k7_funct_2(X0,X1,X3,X5,X6)) ) ) ) ) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK280,sK281]),skolemize(X8,sK280(X1,X2,X3,X4,X6)),skolemize(X9,sK281(X1,X2,X3,X4,X6))],[f9703]) ).
fof(f9705,plain,
! [X0] :
( v1_xboole_0(X0)
| ! [X1] :
( ~ m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| ( ( ~ v1_setwiseo(X1,X0)
| r3_binop_1(X0,k3_binop_1(X0,X1),X1) )
& ( ~ r3_binop_1(X0,k3_binop_1(X0,X1),X1)
| v1_setwiseo(X1,X0) ) ) ) ),
inference(nnf_transformation,[],[f7757]) ).
fof(f9706,plain,
! [X0,X1] :
( ~ m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| ! [X2] :
( ~ r3_binop_1(X0,X2,X1)
| ~ m1_subset_1(X2,X0) )
| ! [X3] :
( ~ m1_subset_1(X3,X0)
| ( ( k3_binop_1(X0,X1) != X3
| r3_binop_1(X0,X3,X1) )
& ( ~ r3_binop_1(X0,X3,X1)
| k3_binop_1(X0,X1) = X3 ) ) ) ),
inference(nnf_transformation,[],[f7761]) ).
fof(f9707,plain,
! [X0,X1] :
( ~ m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| ! [X3] :
( ~ r3_binop_1(X0,X3,X1)
| ~ m1_subset_1(X3,X0) )
| ! [X2] :
( ~ m1_subset_1(X2,X0)
| ( ( k3_binop_1(X0,X1) != X2
| r3_binop_1(X0,X2,X1) )
& ( ~ r3_binop_1(X0,X2,X1)
| k3_binop_1(X0,X1) = X2 ) ) ) ),
inference(rectify,[],[f9706]) ).
fof(f9708,plain,
! [X0] :
( v1_xboole_0(X0)
| ! [X1] :
( v1_xboole_0(X1)
| ! [X2] :
( ~ m1_subset_1(X2,X0)
| ! [X3] :
( ~ m1_subset_1(X3,X1)
| ! [X4] :
( ~ m2_relset_1(X4,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X4,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X4)
| ! [X5] :
( ~ m2_relset_1(X5,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X5,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X5)
| ( ( ~ r3_binop_1(X1,X3,X5)
| ~ r3_binop_1(X0,X2,X4)
| r3_binop_1(k2_zfmisc_1(X0,X1),k1_domain_1(X0,X1,X2,X3),k7_filter_1(X0,X1,X4,X5)) )
& ( ~ r3_binop_1(k2_zfmisc_1(X0,X1),k1_domain_1(X0,X1,X2,X3),k7_filter_1(X0,X1,X4,X5))
| ( r3_binop_1(X1,X3,X5)
& r3_binop_1(X0,X2,X4) ) ) ) ) ) ) ) ) ),
inference(nnf_transformation,[],[f7763]) ).
fof(f9709,plain,
! [X0] :
( v1_xboole_0(X0)
| ! [X1] :
( v1_xboole_0(X1)
| ! [X2] :
( ~ m1_subset_1(X2,X0)
| ! [X3] :
( ~ m1_subset_1(X3,X1)
| ! [X4] :
( ~ m2_relset_1(X4,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X4,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X4)
| ! [X5] :
( ~ m2_relset_1(X5,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X5,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X5)
| ( ( ~ r3_binop_1(X1,X3,X5)
| ~ r3_binop_1(X0,X2,X4)
| r3_binop_1(k2_zfmisc_1(X0,X1),k1_domain_1(X0,X1,X2,X3),k7_filter_1(X0,X1,X4,X5)) )
& ( ~ r3_binop_1(k2_zfmisc_1(X0,X1),k1_domain_1(X0,X1,X2,X3),k7_filter_1(X0,X1,X4,X5))
| ( r3_binop_1(X1,X3,X5)
& r3_binop_1(X0,X2,X4) ) ) ) ) ) ) ) ) ),
inference(flattening,[],[f9708]) ).
fof(f9710,plain,
! [X4,X2,X3,X5,X0,X1] :
( ~ sP22(X4,X2,X3,X5,X0,X1)
| ( ( k7_setwiseo(X0,X1,X2,X3,X4) != X5
| sP21(X1,X0,X5,X3,X2,X4) )
& ( ~ sP21(X1,X0,X5,X3,X2,X4)
| X5 = k7_setwiseo(X0,X1,X2,X3,X4) ) ) ),
inference(nnf_transformation,[],[f9245]) ).
fof(f9711,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sP22(X0,X1,X2,X3,X4,X5)
| ( ( k7_setwiseo(X4,X5,X1,X2,X0) != X3
| sP21(X5,X4,X3,X2,X1,X0) )
& ( ~ sP21(X5,X4,X3,X2,X1,X0)
| k7_setwiseo(X4,X5,X1,X2,X0) = X3 ) ) ),
inference(rectify,[],[f9710]) ).
fof(f9712,plain,
! [X1,X0,X5,X3,X2,X4] :
( ( ~ sP21(X1,X0,X5,X3,X2,X4)
| ? [X6] :
( sP20(X4,X1,X0,X6,X2,X3)
& ! [X8] :
( ~ m1_subset_1(X8,X0)
| k8_funct_2(X0,X1,X4,X8) = k8_funct_2(k5_finsub_1(X0),X1,X6,k2_setwiseo(X0,X8)) )
& ! [X7] :
( ~ m1_subset_1(X7,X1)
| ~ r3_binop_1(X1,X7,X2)
| k1_funct_1(X6,k1_xboole_0) = X7 )
& X5 = k8_funct_2(k5_finsub_1(X0),X1,X6,X3)
& m2_relset_1(X6,k5_finsub_1(X0),X1)
& v1_funct_2(X6,k5_finsub_1(X0),X1)
& v1_funct_1(X6) ) )
& ( ! [X6] :
( ~ sP20(X4,X1,X0,X6,X2,X3)
| ? [X8] :
( m1_subset_1(X8,X0)
& k8_funct_2(X0,X1,X4,X8) != k8_funct_2(k5_finsub_1(X0),X1,X6,k2_setwiseo(X0,X8)) )
| ? [X7] :
( m1_subset_1(X7,X1)
& r3_binop_1(X1,X7,X2)
& k1_funct_1(X6,k1_xboole_0) != X7 )
| k8_funct_2(k5_finsub_1(X0),X1,X6,X3) != X5
| ~ m2_relset_1(X6,k5_finsub_1(X0),X1)
| ~ v1_funct_2(X6,k5_finsub_1(X0),X1)
| ~ v1_funct_1(X6) )
| sP21(X1,X0,X5,X3,X2,X4) ) ),
inference(nnf_transformation,[],[f9244]) ).
fof(f9713,plain,
! [X0,X1,X2,X3,X4,X5] :
( ( ~ sP21(X0,X1,X2,X3,X4,X5)
| ? [X9] :
( sP20(X5,X0,X1,X9,X4,X3)
& ! [X11] :
( ~ m1_subset_1(X11,X1)
| k8_funct_2(X1,X0,X5,X11) = k8_funct_2(k5_finsub_1(X1),X0,X9,k2_setwiseo(X1,X11)) )
& ! [X10] :
( ~ m1_subset_1(X10,X0)
| ~ r3_binop_1(X0,X10,X4)
| k1_funct_1(X9,k1_xboole_0) = X10 )
& k8_funct_2(k5_finsub_1(X1),X0,X9,X3) = X2
& m2_relset_1(X9,k5_finsub_1(X1),X0)
& v1_funct_2(X9,k5_finsub_1(X1),X0)
& v1_funct_1(X9) ) )
& ( ! [X6] :
( ~ sP20(X5,X0,X1,X6,X4,X3)
| ? [X8] :
( m1_subset_1(X8,X1)
& k8_funct_2(X1,X0,X5,X8) != k8_funct_2(k5_finsub_1(X1),X0,X6,k2_setwiseo(X1,X8)) )
| ? [X7] :
( m1_subset_1(X7,X0)
& r3_binop_1(X0,X7,X4)
& k1_funct_1(X6,k1_xboole_0) != X7 )
| k8_funct_2(k5_finsub_1(X1),X0,X6,X3) != X2
| ~ m2_relset_1(X6,k5_finsub_1(X1),X0)
| ~ v1_funct_2(X6,k5_finsub_1(X1),X0)
| ~ v1_funct_1(X6) )
| sP21(X0,X1,X2,X3,X4,X5) ) ),
inference(rectify,[],[f9712]) ).
fof(f9714,plain,
! [X0,X1,X2,X3,X4,X5] :
( ( ~ sP21(X0,X1,X2,X3,X4,X5)
| ( sP20(X5,X0,X1,sK284(X0,X1,X2,X3,X4,X5),X4,X3)
& ! [X11] :
( ~ m1_subset_1(X11,X1)
| k8_funct_2(X1,X0,X5,X11) = k8_funct_2(k5_finsub_1(X1),X0,sK284(X0,X1,X2,X3,X4,X5),k2_setwiseo(X1,X11)) )
& ! [X10] :
( ~ m1_subset_1(X10,X0)
| ~ r3_binop_1(X0,X10,X4)
| k1_funct_1(sK284(X0,X1,X2,X3,X4,X5),k1_xboole_0) = X10 )
& k8_funct_2(k5_finsub_1(X1),X0,sK284(X0,X1,X2,X3,X4,X5),X3) = X2
& m2_relset_1(sK284(X0,X1,X2,X3,X4,X5),k5_finsub_1(X1),X0)
& v1_funct_2(sK284(X0,X1,X2,X3,X4,X5),k5_finsub_1(X1),X0)
& v1_funct_1(sK284(X0,X1,X2,X3,X4,X5)) ) )
& ( ! [X6] :
( ~ sP20(X5,X0,X1,X6,X4,X3)
| ( m1_subset_1(sK283(X0,X1,X5,X6),X1)
& k8_funct_2(X1,X0,X5,sK283(X0,X1,X5,X6)) != k8_funct_2(k5_finsub_1(X1),X0,X6,k2_setwiseo(X1,sK283(X0,X1,X5,X6))) )
| ( m1_subset_1(sK282(X0,X4,X6),X0)
& r3_binop_1(X0,sK282(X0,X4,X6),X4)
& k1_funct_1(X6,k1_xboole_0) != sK282(X0,X4,X6) )
| k8_funct_2(k5_finsub_1(X1),X0,X6,X3) != X2
| ~ m2_relset_1(X6,k5_finsub_1(X1),X0)
| ~ v1_funct_2(X6,k5_finsub_1(X1),X0)
| ~ v1_funct_1(X6) )
| sP21(X0,X1,X2,X3,X4,X5) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK282,sK283,sK284]),skolemize(X7,sK282(X0,X4,X6)),skolemize(X8,sK283(X0,X1,X5,X6)),skolemize(X9,sK284(X0,X1,X2,X3,X4,X5))],[f9713]) ).
fof(f9718,plain,
! [X0] :
( v1_xboole_0(X0)
| ! [X1] :
( ~ m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| ( ( ~ v1_setwiseo(X1,X0)
| ? [X2] :
( r3_binop_1(X0,X2,X1)
& m1_subset_1(X2,X0) ) )
& ( ! [X2] :
( ~ r3_binop_1(X0,X2,X1)
| ~ m1_subset_1(X2,X0) )
| v1_setwiseo(X1,X0) ) ) ) ),
inference(nnf_transformation,[],[f7771]) ).
fof(f9719,plain,
! [X0] :
( v1_xboole_0(X0)
| ! [X1] :
( ~ m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| ( ( ~ v1_setwiseo(X1,X0)
| ? [X3] :
( r3_binop_1(X0,X3,X1)
& m1_subset_1(X3,X0) ) )
& ( ! [X2] :
( ~ r3_binop_1(X0,X2,X1)
| ~ m1_subset_1(X2,X0) )
| v1_setwiseo(X1,X0) ) ) ) ),
inference(rectify,[],[f9718]) ).
fof(f9720,plain,
! [X0] :
( v1_xboole_0(X0)
| ! [X1] :
( ~ m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| ( ( ~ v1_setwiseo(X1,X0)
| ( r3_binop_1(X0,sK287(X0,X1),X1)
& m1_subset_1(sK287(X0,X1),X0) ) )
& ( ! [X2] :
( ~ r3_binop_1(X0,X2,X1)
| ~ m1_subset_1(X2,X0) )
| v1_setwiseo(X1,X0) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK287]),skolemize(X3,sK287(X0,X1))],[f9719]) ).
fof(f9721,plain,
! [X0,X1] :
( ~ m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| ! [X2] :
( ~ m1_subset_1(X2,X0)
| ~ v1_binop_1(X1,X0)
| ( ( ~ r3_binop_1(X0,X2,X1)
| ! [X3] :
( ~ m1_subset_1(X3,X0)
| k1_binop_1(X1,X3,X2) = X3 ) )
& ( ? [X3] :
( m1_subset_1(X3,X0)
& k1_binop_1(X1,X3,X2) != X3 )
| r3_binop_1(X0,X2,X1) ) ) ) ),
inference(nnf_transformation,[],[f7775]) ).
fof(f9722,plain,
! [X0,X1] :
( ~ m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| ! [X2] :
( ~ m1_subset_1(X2,X0)
| ~ v1_binop_1(X1,X0)
| ( ( ~ r3_binop_1(X0,X2,X1)
| ! [X4] :
( ~ m1_subset_1(X4,X0)
| k1_binop_1(X1,X4,X2) = X4 ) )
& ( ? [X3] :
( m1_subset_1(X3,X0)
& k1_binop_1(X1,X3,X2) != X3 )
| r3_binop_1(X0,X2,X1) ) ) ) ),
inference(rectify,[],[f9721]) ).
fof(f9723,plain,
! [X0,X1] :
( ~ m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| ! [X2] :
( ~ m1_subset_1(X2,X0)
| ~ v1_binop_1(X1,X0)
| ( ( ~ r3_binop_1(X0,X2,X1)
| ! [X4] :
( ~ m1_subset_1(X4,X0)
| k1_binop_1(X1,X4,X2) = X4 ) )
& ( ( m1_subset_1(sK288(X0,X1,X2),X0)
& sK288(X0,X1,X2) != k1_binop_1(X1,sK288(X0,X1,X2),X2) )
| r3_binop_1(X0,X2,X1) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK288]),skolemize(X3,sK288(X0,X1,X2))],[f9722]) ).
fof(f9724,plain,
! [X0,X1] :
( ~ m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| ! [X2] :
( ~ m1_subset_1(X2,X0)
| ~ v1_binop_1(X1,X0)
| ( ( ~ r3_binop_1(X0,X2,X1)
| ! [X3] :
( ~ m1_subset_1(X3,X0)
| k1_binop_1(X1,X2,X3) = X3 ) )
& ( ? [X3] :
( m1_subset_1(X3,X0)
& k1_binop_1(X1,X2,X3) != X3 )
| r3_binop_1(X0,X2,X1) ) ) ) ),
inference(nnf_transformation,[],[f7777]) ).
fof(f9725,plain,
! [X0,X1] :
( ~ m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| ! [X2] :
( ~ m1_subset_1(X2,X0)
| ~ v1_binop_1(X1,X0)
| ( ( ~ r3_binop_1(X0,X2,X1)
| ! [X4] :
( ~ m1_subset_1(X4,X0)
| k1_binop_1(X1,X2,X4) = X4 ) )
& ( ? [X3] :
( m1_subset_1(X3,X0)
& k1_binop_1(X1,X2,X3) != X3 )
| r3_binop_1(X0,X2,X1) ) ) ) ),
inference(rectify,[],[f9724]) ).
fof(f9726,plain,
! [X0,X1] :
( ~ m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| ! [X2] :
( ~ m1_subset_1(X2,X0)
| ~ v1_binop_1(X1,X0)
| ( ( ~ r3_binop_1(X0,X2,X1)
| ! [X4] :
( ~ m1_subset_1(X4,X0)
| k1_binop_1(X1,X2,X4) = X4 ) )
& ( ( m1_subset_1(sK289(X0,X1,X2),X0)
& sK289(X0,X1,X2) != k1_binop_1(X1,X2,sK289(X0,X1,X2)) )
| r3_binop_1(X0,X2,X1) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK289]),skolemize(X3,sK289(X0,X1,X2))],[f9725]) ).
fof(f9727,plain,
! [X0,X1] :
( ~ m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| ! [X2] :
( ~ m1_subset_1(X2,X0)
| ( ( ~ r3_binop_1(X0,X2,X1)
| ! [X3] :
( ~ m1_subset_1(X3,X0)
| ( k1_binop_1(X1,X3,X2) = X3
& k1_binop_1(X1,X2,X3) = X3 ) ) )
& ( ? [X3] :
( m1_subset_1(X3,X0)
& ( k1_binop_1(X1,X3,X2) != X3
| k1_binop_1(X1,X2,X3) != X3 ) )
| r3_binop_1(X0,X2,X1) ) ) ) ),
inference(nnf_transformation,[],[f7779]) ).
fof(f9728,plain,
! [X0,X1] :
( ~ m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| ! [X2] :
( ~ m1_subset_1(X2,X0)
| ( ( ~ r3_binop_1(X0,X2,X1)
| ! [X4] :
( ~ m1_subset_1(X4,X0)
| ( k1_binop_1(X1,X4,X2) = X4
& k1_binop_1(X1,X2,X4) = X4 ) ) )
& ( ? [X3] :
( m1_subset_1(X3,X0)
& ( k1_binop_1(X1,X3,X2) != X3
| k1_binop_1(X1,X2,X3) != X3 ) )
| r3_binop_1(X0,X2,X1) ) ) ) ),
inference(rectify,[],[f9727]) ).
fof(f9729,plain,
! [X0,X1] :
( ~ m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| ! [X2] :
( ~ m1_subset_1(X2,X0)
| ( ( ~ r3_binop_1(X0,X2,X1)
| ! [X4] :
( ~ m1_subset_1(X4,X0)
| ( k1_binop_1(X1,X4,X2) = X4
& k1_binop_1(X1,X2,X4) = X4 ) ) )
& ( ( m1_subset_1(sK290(X0,X1,X2),X0)
& ( sK290(X0,X1,X2) != k1_binop_1(X1,sK290(X0,X1,X2),X2)
| sK290(X0,X1,X2) != k1_binop_1(X1,X2,sK290(X0,X1,X2)) ) )
| r3_binop_1(X0,X2,X1) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK290]),skolemize(X3,sK290(X0,X1,X2))],[f9728]) ).
fof(f9730,plain,
! [X0] :
( v1_xboole_0(X0)
| ! [X1] :
( ~ m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| ( ( ~ v2_binop_1(X1,X0)
| ! [X2] :
( ~ m1_subset_1(X2,X0)
| ! [X3] :
( ~ m1_subset_1(X3,X0)
| ! [X4] :
( ~ m1_subset_1(X4,X0)
| k2_binop_1(X0,X0,X0,X1,X2,k2_binop_1(X0,X0,X0,X1,X3,X4)) = k2_binop_1(X0,X0,X0,X1,k2_binop_1(X0,X0,X0,X1,X2,X3),X4) ) ) ) )
& ( ? [X2] :
( m1_subset_1(X2,X0)
& ? [X3] :
( m1_subset_1(X3,X0)
& ? [X4] :
( m1_subset_1(X4,X0)
& k2_binop_1(X0,X0,X0,X1,X2,k2_binop_1(X0,X0,X0,X1,X3,X4)) != k2_binop_1(X0,X0,X0,X1,k2_binop_1(X0,X0,X0,X1,X2,X3),X4) ) ) )
| v2_binop_1(X1,X0) ) ) ) ),
inference(nnf_transformation,[],[f7787]) ).
fof(f9731,plain,
! [X0] :
( v1_xboole_0(X0)
| ! [X1] :
( ~ m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| ( ( ~ v2_binop_1(X1,X0)
| ! [X5] :
( ~ m1_subset_1(X5,X0)
| ! [X6] :
( ~ m1_subset_1(X6,X0)
| ! [X7] :
( ~ m1_subset_1(X7,X0)
| k2_binop_1(X0,X0,X0,X1,X5,k2_binop_1(X0,X0,X0,X1,X6,X7)) = k2_binop_1(X0,X0,X0,X1,k2_binop_1(X0,X0,X0,X1,X5,X6),X7) ) ) ) )
& ( ? [X2] :
( m1_subset_1(X2,X0)
& ? [X3] :
( m1_subset_1(X3,X0)
& ? [X4] :
( m1_subset_1(X4,X0)
& k2_binop_1(X0,X0,X0,X1,X2,k2_binop_1(X0,X0,X0,X1,X3,X4)) != k2_binop_1(X0,X0,X0,X1,k2_binop_1(X0,X0,X0,X1,X2,X3),X4) ) ) )
| v2_binop_1(X1,X0) ) ) ) ),
inference(rectify,[],[f9730]) ).
fof(f9732,plain,
! [X0] :
( v1_xboole_0(X0)
| ! [X1] :
( ~ m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| ( ( ~ v2_binop_1(X1,X0)
| ! [X5] :
( ~ m1_subset_1(X5,X0)
| ! [X6] :
( ~ m1_subset_1(X6,X0)
| ! [X7] :
( ~ m1_subset_1(X7,X0)
| k2_binop_1(X0,X0,X0,X1,X5,k2_binop_1(X0,X0,X0,X1,X6,X7)) = k2_binop_1(X0,X0,X0,X1,k2_binop_1(X0,X0,X0,X1,X5,X6),X7) ) ) ) )
& ( ( m1_subset_1(sK291(X0,X1),X0)
& m1_subset_1(sK292(X0,X1),X0)
& m1_subset_1(sK293(X0,X1),X0)
& k2_binop_1(X0,X0,X0,X1,sK291(X0,X1),k2_binop_1(X0,X0,X0,X1,sK292(X0,X1),sK293(X0,X1))) != k2_binop_1(X0,X0,X0,X1,k2_binop_1(X0,X0,X0,X1,sK291(X0,X1),sK292(X0,X1)),sK293(X0,X1)) )
| v2_binop_1(X1,X0) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK291,sK292,sK293]),skolemize(X2,sK291(X0,X1)),skolemize(X3,sK292(X0,X1)),skolemize(X4,sK293(X0,X1))],[f9731]) ).
fof(f9733,plain,
! [X0] :
( v1_xboole_0(X0)
| ! [X1] :
( ~ m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| ( ( ~ v1_binop_1(X1,X0)
| ! [X2] :
( ~ m1_subset_1(X2,X0)
| ! [X3] :
( ~ m1_subset_1(X3,X0)
| k2_binop_1(X0,X0,X0,X1,X2,X3) = k2_binop_1(X0,X0,X0,X1,X3,X2) ) ) )
& ( ? [X2] :
( m1_subset_1(X2,X0)
& ? [X3] :
( m1_subset_1(X3,X0)
& k2_binop_1(X0,X0,X0,X1,X2,X3) != k2_binop_1(X0,X0,X0,X1,X3,X2) ) )
| v1_binop_1(X1,X0) ) ) ) ),
inference(nnf_transformation,[],[f7789]) ).
fof(f9734,plain,
! [X0] :
( v1_xboole_0(X0)
| ! [X1] :
( ~ m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| ( ( ~ v1_binop_1(X1,X0)
| ! [X4] :
( ~ m1_subset_1(X4,X0)
| ! [X5] :
( ~ m1_subset_1(X5,X0)
| k2_binop_1(X0,X0,X0,X1,X4,X5) = k2_binop_1(X0,X0,X0,X1,X5,X4) ) ) )
& ( ? [X2] :
( m1_subset_1(X2,X0)
& ? [X3] :
( m1_subset_1(X3,X0)
& k2_binop_1(X0,X0,X0,X1,X2,X3) != k2_binop_1(X0,X0,X0,X1,X3,X2) ) )
| v1_binop_1(X1,X0) ) ) ) ),
inference(rectify,[],[f9733]) ).
fof(f9735,plain,
! [X0] :
( v1_xboole_0(X0)
| ! [X1] :
( ~ m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| ( ( ~ v1_binop_1(X1,X0)
| ! [X4] :
( ~ m1_subset_1(X4,X0)
| ! [X5] :
( ~ m1_subset_1(X5,X0)
| k2_binop_1(X0,X0,X0,X1,X4,X5) = k2_binop_1(X0,X0,X0,X1,X5,X4) ) ) )
& ( ( m1_subset_1(sK294(X0,X1),X0)
& m1_subset_1(sK295(X0,X1),X0)
& k2_binop_1(X0,X0,X0,X1,sK294(X0,X1),sK295(X0,X1)) != k2_binop_1(X0,X0,X0,X1,sK295(X0,X1),sK294(X0,X1)) )
| v1_binop_1(X1,X0) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK294,sK295]),skolemize(X2,sK294(X0,X1)),skolemize(X3,sK295(X0,X1))],[f9734]) ).
fof(f9736,plain,
! [X0] :
( v1_xboole_0(X0)
| ! [X1] :
( v1_xboole_0(X1)
| ! [X2] :
( v1_xboole_0(X2)
| ! [X3] :
( ~ m2_relset_1(X3,k2_zfmisc_1(X0,X1),X2)
| ~ v1_funct_2(X3,k2_zfmisc_1(X0,X1),X2)
| ~ v1_funct_1(X3)
| ! [X4] :
( ~ m2_relset_1(X4,k2_zfmisc_1(X0,X1),X2)
| ~ v1_funct_2(X4,k2_zfmisc_1(X0,X1),X2)
| ~ v1_funct_1(X4)
| ( m1_subset_1(sK296(X0,X1,X2,X3,X4),X0)
& m1_subset_1(sK297(X0,X1,X2,X3,X4),X1)
& k2_binop_1(X0,X1,X2,X3,sK296(X0,X1,X2,X3,X4),sK297(X0,X1,X2,X3,X4)) != k2_binop_1(X0,X1,X2,X4,sK296(X0,X1,X2,X3,X4),sK297(X0,X1,X2,X3,X4)) )
| X3 = X4 ) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK296,sK297]),skolemize(X5,sK296(X0,X1,X2,X3,X4)),skolemize(X6,sK297(X0,X1,X2,X3,X4))],[f7791]) ).
fof(f9737,plain,
l2_lattices(sK298),
inference(skolemize,[status(esa),new_symbols(skolem,[sK298]),skolemize(X0,sK298)],[f4578]) ).
fof(f9738,plain,
l1_lattices(sK299),
inference(skolemize,[status(esa),new_symbols(skolem,[sK299]),skolemize(X0,sK299)],[f4576]) ).
fof(f9739,plain,
! [X0] :
( ~ l1_lattices(X0)
| v3_struct_0(X0)
| ~ v13_lattices(X0)
| ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ( ( k5_lattices(X0) != X1
| ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| ( k2_lattices(X0,X2,X1) = X1
& k2_lattices(X0,X1,X2) = X1 ) ) )
& ( ? [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
& ( k2_lattices(X0,X2,X1) != X1
| k2_lattices(X0,X1,X2) != X1 ) )
| X1 = k5_lattices(X0) ) ) ) ),
inference(nnf_transformation,[],[f7809]) ).
fof(f9740,plain,
! [X0] :
( ~ l1_lattices(X0)
| v3_struct_0(X0)
| ~ v13_lattices(X0)
| ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ( ( k5_lattices(X0) != X1
| ! [X3] :
( ~ m1_subset_1(X3,u1_struct_0(X0))
| ( k2_lattices(X0,X3,X1) = X1
& k2_lattices(X0,X1,X3) = X1 ) ) )
& ( ? [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
& ( k2_lattices(X0,X2,X1) != X1
| k2_lattices(X0,X1,X2) != X1 ) )
| X1 = k5_lattices(X0) ) ) ) ),
inference(rectify,[],[f9739]) ).
fof(f9741,plain,
! [X0] :
( ~ l1_lattices(X0)
| v3_struct_0(X0)
| ~ v13_lattices(X0)
| ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ( ( k5_lattices(X0) != X1
| ! [X3] :
( ~ m1_subset_1(X3,u1_struct_0(X0))
| ( k2_lattices(X0,X3,X1) = X1
& k2_lattices(X0,X1,X3) = X1 ) ) )
& ( ( m1_subset_1(sK300(X0,X1),u1_struct_0(X0))
& ( k2_lattices(X0,sK300(X0,X1),X1) != X1
| k2_lattices(X0,X1,sK300(X0,X1)) != X1 ) )
| X1 = k5_lattices(X0) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK300]),skolemize(X2,sK300(X0,X1))],[f9740]) ).
fof(f9742,plain,
! [X0] :
( ~ l1_lattices(X0)
| v3_struct_0(X0)
| ( ( ~ v13_lattices(X0)
| ? [X1] :
( ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| ( k2_lattices(X0,X2,X1) = X1
& k2_lattices(X0,X1,X2) = X1 ) )
& m1_subset_1(X1,u1_struct_0(X0)) ) )
& ( ! [X1] :
( ? [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
& ( k2_lattices(X0,X2,X1) != X1
| k2_lattices(X0,X1,X2) != X1 ) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| v13_lattices(X0) ) ) ),
inference(nnf_transformation,[],[f7811]) ).
fof(f9743,plain,
! [X0] :
( ~ l1_lattices(X0)
| v3_struct_0(X0)
| ( ( ~ v13_lattices(X0)
| ? [X3] :
( ! [X4] :
( ~ m1_subset_1(X4,u1_struct_0(X0))
| ( k2_lattices(X0,X4,X3) = X3
& k2_lattices(X0,X3,X4) = X3 ) )
& m1_subset_1(X3,u1_struct_0(X0)) ) )
& ( ! [X1] :
( ? [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
& ( k2_lattices(X0,X2,X1) != X1
| k2_lattices(X0,X1,X2) != X1 ) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| v13_lattices(X0) ) ) ),
inference(rectify,[],[f9742]) ).
fof(f9744,plain,
! [X0] :
( ~ l1_lattices(X0)
| v3_struct_0(X0)
| ( ( ~ v13_lattices(X0)
| ( ! [X4] :
( ~ m1_subset_1(X4,u1_struct_0(X0))
| ( sK302(X0) = k2_lattices(X0,X4,sK302(X0))
& sK302(X0) = k2_lattices(X0,sK302(X0),X4) ) )
& m1_subset_1(sK302(X0),u1_struct_0(X0)) ) )
& ( ! [X1] :
( ( m1_subset_1(sK301(X0,X1),u1_struct_0(X0))
& ( k2_lattices(X0,sK301(X0,X1),X1) != X1
| k2_lattices(X0,X1,sK301(X0,X1)) != X1 ) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| v13_lattices(X0) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK301,sK302]),skolemize(X2,sK301(X0,X1)),skolemize(X3,sK302(X0))],[f9743]) ).
fof(f9745,plain,
! [X0] :
( ~ l1_lattices(X0)
| v3_struct_0(X0)
| ( ( ~ v7_lattices(X0)
| ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| ! [X3] :
( ~ m1_subset_1(X3,u1_struct_0(X0))
| k2_lattices(X0,X1,k2_lattices(X0,X2,X3)) = k2_lattices(X0,k2_lattices(X0,X1,X2),X3) ) ) ) )
& ( ? [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
& ? [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
& ? [X3] :
( m1_subset_1(X3,u1_struct_0(X0))
& k2_lattices(X0,X1,k2_lattices(X0,X2,X3)) != k2_lattices(X0,k2_lattices(X0,X1,X2),X3) ) ) )
| v7_lattices(X0) ) ) ),
inference(nnf_transformation,[],[f7813]) ).
fof(f9746,plain,
! [X0] :
( ~ l1_lattices(X0)
| v3_struct_0(X0)
| ( ( ~ v7_lattices(X0)
| ! [X4] :
( ~ m1_subset_1(X4,u1_struct_0(X0))
| ! [X5] :
( ~ m1_subset_1(X5,u1_struct_0(X0))
| ! [X6] :
( ~ m1_subset_1(X6,u1_struct_0(X0))
| k2_lattices(X0,X4,k2_lattices(X0,X5,X6)) = k2_lattices(X0,k2_lattices(X0,X4,X5),X6) ) ) ) )
& ( ? [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
& ? [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
& ? [X3] :
( m1_subset_1(X3,u1_struct_0(X0))
& k2_lattices(X0,X1,k2_lattices(X0,X2,X3)) != k2_lattices(X0,k2_lattices(X0,X1,X2),X3) ) ) )
| v7_lattices(X0) ) ) ),
inference(rectify,[],[f9745]) ).
fof(f9747,plain,
! [X0] :
( ~ l1_lattices(X0)
| v3_struct_0(X0)
| ( ( ~ v7_lattices(X0)
| ! [X4] :
( ~ m1_subset_1(X4,u1_struct_0(X0))
| ! [X5] :
( ~ m1_subset_1(X5,u1_struct_0(X0))
| ! [X6] :
( ~ m1_subset_1(X6,u1_struct_0(X0))
| k2_lattices(X0,X4,k2_lattices(X0,X5,X6)) = k2_lattices(X0,k2_lattices(X0,X4,X5),X6) ) ) ) )
& ( ( m1_subset_1(sK303(X0),u1_struct_0(X0))
& m1_subset_1(sK304(X0),u1_struct_0(X0))
& m1_subset_1(sK305(X0),u1_struct_0(X0))
& k2_lattices(X0,sK303(X0),k2_lattices(X0,sK304(X0),sK305(X0))) != k2_lattices(X0,k2_lattices(X0,sK303(X0),sK304(X0)),sK305(X0)) )
| v7_lattices(X0) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK303,sK304,sK305]),skolemize(X1,sK303(X0)),skolemize(X2,sK304(X0)),skolemize(X3,sK305(X0))],[f9746]) ).
fof(f9748,plain,
! [X0] :
( ~ l1_lattices(X0)
| v3_struct_0(X0)
| ( ( ~ v6_lattices(X0)
| ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| k2_lattices(X0,X1,X2) = k2_lattices(X0,X2,X1) ) ) )
& ( ? [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
& ? [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
& k2_lattices(X0,X1,X2) != k2_lattices(X0,X2,X1) ) )
| v6_lattices(X0) ) ) ),
inference(nnf_transformation,[],[f7815]) ).
fof(f9749,plain,
! [X0] :
( ~ l1_lattices(X0)
| v3_struct_0(X0)
| ( ( ~ v6_lattices(X0)
| ! [X3] :
( ~ m1_subset_1(X3,u1_struct_0(X0))
| ! [X4] :
( ~ m1_subset_1(X4,u1_struct_0(X0))
| k2_lattices(X0,X3,X4) = k2_lattices(X0,X4,X3) ) ) )
& ( ? [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
& ? [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
& k2_lattices(X0,X1,X2) != k2_lattices(X0,X2,X1) ) )
| v6_lattices(X0) ) ) ),
inference(rectify,[],[f9748]) ).
fof(f9750,plain,
! [X0] :
( ~ l1_lattices(X0)
| v3_struct_0(X0)
| ( ( ~ v6_lattices(X0)
| ! [X3] :
( ~ m1_subset_1(X3,u1_struct_0(X0))
| ! [X4] :
( ~ m1_subset_1(X4,u1_struct_0(X0))
| k2_lattices(X0,X3,X4) = k2_lattices(X0,X4,X3) ) ) )
& ( ( m1_subset_1(sK306(X0),u1_struct_0(X0))
& m1_subset_1(sK307(X0),u1_struct_0(X0))
& k2_lattices(X0,sK306(X0),sK307(X0)) != k2_lattices(X0,sK307(X0),sK306(X0)) )
| v6_lattices(X0) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK306,sK307]),skolemize(X1,sK306(X0)),skolemize(X2,sK307(X0))],[f9749]) ).
fof(f9751,plain,
! [X0] :
( v1_xboole_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,k5_finsub_1(X0))
| ! [X2] :
( ~ l3_lattices(X2)
| ~ v13_lattices(X2)
| ~ v10_lattices(X2)
| v3_struct_0(X2)
| ! [X3] :
( ~ m2_relset_1(X3,X0,u1_struct_0(X2))
| ~ v1_funct_2(X3,X0,u1_struct_0(X2))
| ~ v1_funct_1(X3)
| ! [X4] :
( ~ m2_relset_1(X4,X0,u1_struct_0(X2))
| ~ v1_funct_2(X4,X0,u1_struct_0(X2))
| ~ v1_funct_1(X4)
| ( m1_subset_1(sK308(X0,X1,X2,X3,X4),X0)
& r2_hidden(sK308(X0,X1,X2,X3,X4),X1)
& ~ r3_lattices(X2,k8_funct_2(X0,u1_struct_0(X2),X3,sK308(X0,X1,X2,X3,X4)),k8_funct_2(X0,u1_struct_0(X2),X4,sK308(X0,X1,X2,X3,X4))) )
| r3_lattices(X2,k2_lattice2(X0,X2,X1,X3),k2_lattice2(X0,X2,X1,X4)) ) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK308]),skolemize(X5,sK308(X0,X1,X2,X3,X4))],[f7823]) ).
fof(f9752,plain,
! [X0] :
( v1_xboole_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,k5_finsub_1(X0))
| ! [X2] :
( ~ l3_lattices(X2)
| ~ v13_lattices(X2)
| ~ v10_lattices(X2)
| v3_struct_0(X2)
| ! [X3] :
( ~ m2_relset_1(X3,X0,u1_struct_0(X2))
| ~ v1_funct_2(X3,X0,u1_struct_0(X2))
| ~ v1_funct_1(X3)
| ! [X4] :
( ~ m1_subset_1(X4,u1_struct_0(X2))
| ( m1_subset_1(sK309(X0,X1,X2,X3,X4),X0)
& r2_hidden(sK309(X0,X1,X2,X3,X4),X1)
& ~ r3_lattices(X2,k8_funct_2(X0,u1_struct_0(X2),X3,sK309(X0,X1,X2,X3,X4)),X4) )
| r3_lattices(X2,k2_lattice2(X0,X2,X1,X3),X4) ) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK309]),skolemize(X5,sK309(X0,X1,X2,X3,X4))],[f7825]) ).
fof(f9753,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( v1_xboole_0(X1)
| ! [X2] :
( ~ m1_subset_1(X2,k5_finsub_1(X1))
| ! [X3] :
( ~ m2_relset_1(X3,X1,u1_struct_0(X0))
| ~ v1_funct_2(X3,X1,u1_struct_0(X0))
| ~ v1_funct_1(X3)
| ! [X4] :
( ~ m2_relset_1(X4,X1,u1_struct_0(X0))
| ~ v1_funct_2(X4,X1,u1_struct_0(X0))
| ~ v1_funct_1(X4)
| ( m1_subset_1(sK310(X0,X1,X2,X3,X4),X1)
& r2_hidden(sK310(X0,X1,X2,X3,X4),X2)
& ~ r3_lattices(X0,k8_funct_2(X1,u1_struct_0(X0),X3,sK310(X0,X1,X2,X3,X4)),k8_funct_2(X1,u1_struct_0(X0),X4,sK310(X0,X1,X2,X3,X4))) )
| r3_lattices(X0,k2_lattice2(X1,X0,X2,X3),k2_lattice2(X1,X0,X2,X4))
| X2 = k1_xboole_0 ) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK310]),skolemize(X5,sK310(X0,X1,X2,X3,X4))],[f7831]) ).
fof(f9754,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ! [X2] :
( v1_xboole_0(X2)
| ! [X3] :
( ~ m1_subset_1(X3,k5_finsub_1(X2))
| ! [X4] :
( ~ m2_relset_1(X4,X2,u1_struct_0(X0))
| ~ v1_funct_2(X4,X2,u1_struct_0(X0))
| ~ v1_funct_1(X4)
| ( m1_subset_1(sK311(X0,X1,X2,X3,X4),X2)
& r2_hidden(sK311(X0,X1,X2,X3,X4),X3)
& ~ r3_lattices(X0,k8_funct_2(X2,u1_struct_0(X0),X4,sK311(X0,X1,X2,X3,X4)),X1) )
| r3_lattices(X0,k2_lattice2(X2,X0,X3,X4),X1)
| X3 = k1_xboole_0 ) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK311]),skolemize(X5,sK311(X0,X1,X2,X3,X4))],[f7833]) ).
fof(f9755,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ! [X2] :
( v1_xboole_0(X2)
| ! [X3] :
( ~ m1_subset_1(X3,k5_finsub_1(X2))
| ! [X4] :
( ~ m2_relset_1(X4,X2,u1_struct_0(X0))
| ~ v1_funct_2(X4,X2,u1_struct_0(X0))
| ~ v1_funct_1(X4)
| ( m1_subset_1(sK312(X0,X1,X2,X3,X4),X2)
& r2_hidden(sK312(X0,X1,X2,X3,X4),X3)
& k8_funct_2(X2,u1_struct_0(X0),X4,sK312(X0,X1,X2,X3,X4)) != X1 )
| k2_lattice2(X2,X0,X3,X4) = X1
| X3 = k1_xboole_0 ) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK312]),skolemize(X5,sK312(X0,X1,X2,X3,X4))],[f7837]) ).
fof(f9756,plain,
! [X0] :
( ~ l1_struct_0(X0)
| ( ( ~ v3_realset2(X0)
| v1_realset1(u1_struct_0(X0)) )
& ( ~ v1_realset1(u1_struct_0(X0))
| v3_realset2(X0) ) ) ),
inference(nnf_transformation,[],[f7844]) ).
fof(f9757,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ( ( ~ v1_realset1(X1)
| ! [X4] :
( ! [X5] :
( X4 = X5
| ~ r2_hidden(X5,X1)
| ~ r2_hidden(X4,X1)
| ~ m1_subset_1(X5,X0) )
| ~ m1_subset_1(X4,X0) ) )
& ( ( m1_subset_1(sK313(X0,X1),X0)
& m1_subset_1(sK314(X0,X1),X0)
& sK313(X0,X1) != sK314(X0,X1)
& r2_hidden(sK314(X0,X1),X1)
& r2_hidden(sK313(X0,X1),X1) )
| v1_realset1(X1) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK313,sK314]),skolemize(X2,sK313(X0,X1)),skolemize(X3,sK314(X0,X1))],[f7848]) ).
fof(f9758,plain,
! [X0] :
( ( ~ v1_realset1(X0)
| ! [X3,X4] :
( X3 = X4
| ~ r2_hidden(X4,X0)
| ~ r2_hidden(X3,X0) ) )
& ( ( sK315(X0) != sK316(X0)
& r2_hidden(sK316(X0),X0)
& r2_hidden(sK315(X0),X0) )
| v1_realset1(X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK315,sK316]),skolemize(X1,sK315(X0)),skolemize(X2,sK316(X0))],[f7849]) ).
fof(f9759,plain,
! [X0] :
( v1_xboole_0(X0)
| ( m1_subset_1(sK317(X0),X0)
& v1_xboole_0(k4_xboole_0(X0,k1_tarski(sK317(X0)))) )
| ~ v1_realset1(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK317]),skolemize(X1,sK317(X0))],[f7851]) ).
fof(f9760,plain,
! [X0] :
( v1_xboole_0(X0)
| ~ v1_realset1(X0)
| ( m1_subset_1(sK318(X0),X0)
& v1_xboole_0(k4_xboole_0(X0,k1_tarski(sK318(X0)))) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK318]),skolemize(X1,sK318(X0))],[f7853]) ).
fof(f9761,plain,
! [X0] :
( v1_xboole_0(X0)
| ( ( v1_realset1(X0)
| ! [X1] : ~ v1_xboole_0(k4_xboole_0(X0,k1_tarski(X1))) )
& ( ? [X1] : v1_xboole_0(k4_xboole_0(X0,k1_tarski(X1)))
| ~ v1_realset1(X0) ) ) ),
inference(nnf_transformation,[],[f7854]) ).
fof(f9762,plain,
! [X0] :
( v1_xboole_0(X0)
| ( ( v1_realset1(X0)
| ! [X2] : ~ v1_xboole_0(k4_xboole_0(X0,k1_tarski(X2))) )
& ( ? [X1] : v1_xboole_0(k4_xboole_0(X0,k1_tarski(X1)))
| ~ v1_realset1(X0) ) ) ),
inference(rectify,[],[f9761]) ).
fof(f9763,plain,
! [X0] :
( v1_xboole_0(X0)
| ( ( v1_realset1(X0)
| ! [X2] : ~ v1_xboole_0(k4_xboole_0(X0,k1_tarski(X2))) )
& ( v1_xboole_0(k4_xboole_0(X0,k1_tarski(sK319(X0))))
| ~ v1_realset1(X0) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK319]),skolemize(X1,sK319(X0))],[f9762]) ).
fof(f9764,plain,
! [X0] :
( ( ~ v1_realset1(X0)
| ? [X1] : k1_tarski(X1) = X0
| v1_xboole_0(X0) )
& ( ( ! [X1] : k1_tarski(X1) != X0
& ~ v1_xboole_0(X0) )
| v1_realset1(X0) ) ),
inference(nnf_transformation,[],[f7855]) ).
fof(f9765,plain,
! [X0] :
( ( ~ v1_realset1(X0)
| ? [X1] : k1_tarski(X1) = X0
| v1_xboole_0(X0) )
& ( ( ! [X1] : k1_tarski(X1) != X0
& ~ v1_xboole_0(X0) )
| v1_realset1(X0) ) ),
inference(flattening,[],[f9764]) ).
fof(f9766,plain,
! [X0] :
( ( ~ v1_realset1(X0)
| ? [X2] : k1_tarski(X2) = X0
| v1_xboole_0(X0) )
& ( ( ! [X1] : k1_tarski(X1) != X0
& ~ v1_xboole_0(X0) )
| v1_realset1(X0) ) ),
inference(rectify,[],[f9765]) ).
fof(f9767,plain,
! [X0] :
( ( ~ v1_realset1(X0)
| k1_tarski(sK320(X0)) = X0
| v1_xboole_0(X0) )
& ( ( ! [X1] : k1_tarski(X1) != X0
& ~ v1_xboole_0(X0) )
| v1_realset1(X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK320]),skolemize(X2,sK320(X0))],[f9766]) ).
fof(f9768,plain,
( ~ v1_realset1(sK321)
& ~ v1_xboole_0(sK321) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK321]),skolemize(X0,sK321)],[f4065]) ).
fof(f9769,plain,
( v1_realset1(sK322)
& ~ v1_xboole_0(sK322) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK322]),skolemize(X0,sK322)],[f4064]) ).
fof(f9770,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,X0)
| m3_realset1(sK323(X0,X1),X0,X1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK323]),skolemize(X2,sK323(X0,X1))],[f7857]) ).
fof(f9771,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,X0)
| ! [X2] :
( ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ( ( ~ m3_realset1(X2,X0,X1)
| ! [X3] :
( ~ r2_hidden(X3,k2_zfmisc_1(k4_xboole_0(X0,k1_tarski(X1)),k4_xboole_0(X0,k1_tarski(X1))))
| r2_hidden(k1_funct_1(X2,X3),k4_xboole_0(X0,k1_tarski(X1))) ) )
& ( ? [X3] :
( r2_hidden(X3,k2_zfmisc_1(k4_xboole_0(X0,k1_tarski(X1)),k4_xboole_0(X0,k1_tarski(X1))))
& ~ r2_hidden(k1_funct_1(X2,X3),k4_xboole_0(X0,k1_tarski(X1))) )
| m3_realset1(X2,X0,X1) ) ) ) ),
inference(nnf_transformation,[],[f7860]) ).
fof(f9772,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,X0)
| ! [X2] :
( ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ( ( ~ m3_realset1(X2,X0,X1)
| ! [X4] :
( ~ r2_hidden(X4,k2_zfmisc_1(k4_xboole_0(X0,k1_tarski(X1)),k4_xboole_0(X0,k1_tarski(X1))))
| r2_hidden(k1_funct_1(X2,X4),k4_xboole_0(X0,k1_tarski(X1))) ) )
& ( ? [X3] :
( r2_hidden(X3,k2_zfmisc_1(k4_xboole_0(X0,k1_tarski(X1)),k4_xboole_0(X0,k1_tarski(X1))))
& ~ r2_hidden(k1_funct_1(X2,X3),k4_xboole_0(X0,k1_tarski(X1))) )
| m3_realset1(X2,X0,X1) ) ) ) ),
inference(rectify,[],[f9771]) ).
fof(f9773,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,X0)
| ! [X2] :
( ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ( ( ~ m3_realset1(X2,X0,X1)
| ! [X4] :
( ~ r2_hidden(X4,k2_zfmisc_1(k4_xboole_0(X0,k1_tarski(X1)),k4_xboole_0(X0,k1_tarski(X1))))
| r2_hidden(k1_funct_1(X2,X4),k4_xboole_0(X0,k1_tarski(X1))) ) )
& ( ( r2_hidden(sK324(X0,X1,X2),k2_zfmisc_1(k4_xboole_0(X0,k1_tarski(X1)),k4_xboole_0(X0,k1_tarski(X1))))
& ~ r2_hidden(k1_funct_1(X2,sK324(X0,X1,X2)),k4_xboole_0(X0,k1_tarski(X1))) )
| m3_realset1(X2,X0,X1) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK324]),skolemize(X3,sK324(X0,X1,X2))],[f9772]) ).
fof(f9774,plain,
! [X0,X1] :
( ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ! [X2] :
( ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| ( ( k7_relat_1(X2,X0) != X1
| ( ! [X3] :
( ~ r2_hidden(X3,k1_relat_1(X1))
| k1_funct_1(X1,X3) = k1_funct_1(X2,X3) )
& k1_relat_1(X1) = k3_xboole_0(k1_relat_1(X2),X0) ) )
& ( ? [X3] :
( r2_hidden(X3,k1_relat_1(X1))
& k1_funct_1(X1,X3) != k1_funct_1(X2,X3) )
| k1_relat_1(X1) != k3_xboole_0(k1_relat_1(X2),X0)
| X1 = k7_relat_1(X2,X0) ) ) ) ),
inference(nnf_transformation,[],[f7883]) ).
fof(f9775,plain,
! [X0,X1] :
( ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ! [X2] :
( ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| ( ( k7_relat_1(X2,X0) != X1
| ( ! [X3] :
( ~ r2_hidden(X3,k1_relat_1(X1))
| k1_funct_1(X1,X3) = k1_funct_1(X2,X3) )
& k1_relat_1(X1) = k3_xboole_0(k1_relat_1(X2),X0) ) )
& ( ? [X3] :
( r2_hidden(X3,k1_relat_1(X1))
& k1_funct_1(X1,X3) != k1_funct_1(X2,X3) )
| k1_relat_1(X1) != k3_xboole_0(k1_relat_1(X2),X0)
| X1 = k7_relat_1(X2,X0) ) ) ) ),
inference(flattening,[],[f9774]) ).
fof(f9776,plain,
! [X0,X1] :
( ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ! [X2] :
( ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| ( ( k7_relat_1(X2,X0) != X1
| ( ! [X4] :
( ~ r2_hidden(X4,k1_relat_1(X1))
| k1_funct_1(X2,X4) = k1_funct_1(X1,X4) )
& k1_relat_1(X1) = k3_xboole_0(k1_relat_1(X2),X0) ) )
& ( ? [X3] :
( r2_hidden(X3,k1_relat_1(X1))
& k1_funct_1(X1,X3) != k1_funct_1(X2,X3) )
| k1_relat_1(X1) != k3_xboole_0(k1_relat_1(X2),X0)
| X1 = k7_relat_1(X2,X0) ) ) ) ),
inference(rectify,[],[f9775]) ).
fof(f9777,plain,
! [X0,X1] :
( ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ! [X2] :
( ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| ( ( k7_relat_1(X2,X0) != X1
| ( ! [X4] :
( ~ r2_hidden(X4,k1_relat_1(X1))
| k1_funct_1(X2,X4) = k1_funct_1(X1,X4) )
& k1_relat_1(X1) = k3_xboole_0(k1_relat_1(X2),X0) ) )
& ( ( r2_hidden(sK325(X1,X2),k1_relat_1(X1))
& k1_funct_1(X1,sK325(X1,X2)) != k1_funct_1(X2,sK325(X1,X2)) )
| k1_relat_1(X1) != k3_xboole_0(k1_relat_1(X2),X0)
| X1 = k7_relat_1(X2,X0) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK325]),skolemize(X3,sK325(X1,X2))],[f9776]) ).
fof(f9778,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| ( ( k1_xboole_0 != k7_relat_1(X1,X0)
| r1_xboole_0(k1_relat_1(X1),X0) )
& ( ~ r1_xboole_0(k1_relat_1(X1),X0)
| k7_relat_1(X1,X0) = k1_xboole_0 ) ) ),
inference(nnf_transformation,[],[f7919]) ).
fof(f9779,plain,
! [X0,X1,X2] :
( ~ v1_relat_1(X2)
| ( ( ~ r2_hidden(X0,k1_relat_1(k7_relat_1(X2,X1)))
| ( r2_hidden(X0,k1_relat_1(X2))
& r2_hidden(X0,X1) ) )
& ( ~ r2_hidden(X0,k1_relat_1(X2))
| ~ r2_hidden(X0,X1)
| r2_hidden(X0,k1_relat_1(k7_relat_1(X2,X1))) ) ) ),
inference(nnf_transformation,[],[f7928]) ).
fof(f9780,plain,
! [X0,X1,X2] :
( ~ v1_relat_1(X2)
| ( ( ~ r2_hidden(X0,k1_relat_1(k7_relat_1(X2,X1)))
| ( r2_hidden(X0,k1_relat_1(X2))
& r2_hidden(X0,X1) ) )
& ( ~ r2_hidden(X0,k1_relat_1(X2))
| ~ r2_hidden(X0,X1)
| r2_hidden(X0,k1_relat_1(k7_relat_1(X2,X1))) ) ) ),
inference(flattening,[],[f9779]) ).
fof(f9781,plain,
! [X0] :
( ~ v1_relat_1(X0)
| ! [X1,X2] :
( ~ v1_relat_1(X2)
| ( ( k7_relat_1(X0,X1) != X2
| ! [X3,X4] :
( ( ~ r2_hidden(k4_tarski(X3,X4),X2)
| ( r2_hidden(k4_tarski(X3,X4),X0)
& r2_hidden(X3,X1) ) )
& ( ~ r2_hidden(k4_tarski(X3,X4),X0)
| ~ r2_hidden(X3,X1)
| r2_hidden(k4_tarski(X3,X4),X2) ) ) )
& ( ? [X3,X4] :
( ( r2_hidden(k4_tarski(X3,X4),X2)
| ( r2_hidden(k4_tarski(X3,X4),X0)
& r2_hidden(X3,X1) ) )
& ( ~ r2_hidden(k4_tarski(X3,X4),X2)
| ~ r2_hidden(k4_tarski(X3,X4),X0)
| ~ r2_hidden(X3,X1) ) )
| X2 = k7_relat_1(X0,X1) ) ) ) ),
inference(nnf_transformation,[],[f7929]) ).
fof(f9782,plain,
! [X0] :
( ~ v1_relat_1(X0)
| ! [X1,X2] :
( ~ v1_relat_1(X2)
| ( ( k7_relat_1(X0,X1) != X2
| ! [X3,X4] :
( ( ~ r2_hidden(k4_tarski(X3,X4),X2)
| ( r2_hidden(k4_tarski(X3,X4),X0)
& r2_hidden(X3,X1) ) )
& ( ~ r2_hidden(k4_tarski(X3,X4),X0)
| ~ r2_hidden(X3,X1)
| r2_hidden(k4_tarski(X3,X4),X2) ) ) )
& ( ? [X3,X4] :
( ( r2_hidden(k4_tarski(X3,X4),X2)
| ( r2_hidden(k4_tarski(X3,X4),X0)
& r2_hidden(X3,X1) ) )
& ( ~ r2_hidden(k4_tarski(X3,X4),X2)
| ~ r2_hidden(k4_tarski(X3,X4),X0)
| ~ r2_hidden(X3,X1) ) )
| X2 = k7_relat_1(X0,X1) ) ) ) ),
inference(flattening,[],[f9781]) ).
fof(f9783,plain,
! [X0] :
( ~ v1_relat_1(X0)
| ! [X1,X2] :
( ~ v1_relat_1(X2)
| ( ( k7_relat_1(X0,X1) != X2
| ! [X5,X6] :
( ( ~ r2_hidden(k4_tarski(X5,X6),X2)
| ( r2_hidden(k4_tarski(X5,X6),X0)
& r2_hidden(X5,X1) ) )
& ( ~ r2_hidden(k4_tarski(X5,X6),X0)
| ~ r2_hidden(X5,X1)
| r2_hidden(k4_tarski(X5,X6),X2) ) ) )
& ( ? [X3,X4] :
( ( r2_hidden(k4_tarski(X3,X4),X2)
| ( r2_hidden(k4_tarski(X3,X4),X0)
& r2_hidden(X3,X1) ) )
& ( ~ r2_hidden(k4_tarski(X3,X4),X2)
| ~ r2_hidden(k4_tarski(X3,X4),X0)
| ~ r2_hidden(X3,X1) ) )
| X2 = k7_relat_1(X0,X1) ) ) ) ),
inference(rectify,[],[f9782]) ).
fof(f9784,plain,
! [X0] :
( ~ v1_relat_1(X0)
| ! [X1,X2] :
( ~ v1_relat_1(X2)
| ( ( k7_relat_1(X0,X1) != X2
| ! [X5,X6] :
( ( ~ r2_hidden(k4_tarski(X5,X6),X2)
| ( r2_hidden(k4_tarski(X5,X6),X0)
& r2_hidden(X5,X1) ) )
& ( ~ r2_hidden(k4_tarski(X5,X6),X0)
| ~ r2_hidden(X5,X1)
| r2_hidden(k4_tarski(X5,X6),X2) ) ) )
& ( ( ( r2_hidden(k4_tarski(sK326(X0,X1,X2),sK327(X0,X1,X2)),X2)
| ( r2_hidden(k4_tarski(sK326(X0,X1,X2),sK327(X0,X1,X2)),X0)
& r2_hidden(sK326(X0,X1,X2),X1) ) )
& ( ~ r2_hidden(k4_tarski(sK326(X0,X1,X2),sK327(X0,X1,X2)),X2)
| ~ r2_hidden(k4_tarski(sK326(X0,X1,X2),sK327(X0,X1,X2)),X0)
| ~ r2_hidden(sK326(X0,X1,X2),X1) ) )
| X2 = k7_relat_1(X0,X1) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK326,sK327]),skolemize(X3,sK326(X0,X1,X2)),skolemize(X4,sK327(X0,X1,X2))],[f9783]) ).
fof(f9785,plain,
! [X0] :
( v1_xboole_0(X0)
| ! [X1] :
( v1_xboole_0(X1)
| ! [X2] :
( ~ m2_relset_1(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X2)
| ~ v3_binop_1(X2,X1)
| ~ v2_binop_1(X2,X1)
| ~ v1_binop_1(X2,X1)
| ! [X3] :
( v1_xboole_0(X3)
| ! [X4] :
( ~ m2_relset_1(X4,k2_zfmisc_1(X3,X3),X3)
| ~ v1_funct_2(X4,k2_zfmisc_1(X3,X3),X3)
| ~ v1_funct_1(X4)
| ~ v3_binop_1(X4,X3)
| ~ v2_binop_1(X4,X3)
| ~ v1_binop_1(X4,X3)
| ! [X5] :
( ~ m2_relset_1(X5,X0,X1)
| ~ v1_funct_2(X5,X0,X1)
| ~ v1_funct_1(X5)
| ! [X6] :
( ~ m2_relset_1(X6,X1,X3)
| ~ v1_funct_2(X6,X1,X3)
| ~ v1_funct_1(X6)
| ? [X8] :
( m1_subset_1(X8,X1)
& ? [X9] :
( m1_subset_1(X9,X1)
& k8_funct_2(X1,X3,X6,k2_binop_1(X1,X1,X1,X2,X8,X9)) != k2_binop_1(X3,X3,X3,X4,k8_funct_2(X1,X3,X6,X8),k8_funct_2(X1,X3,X6,X9)) ) )
| ! [X7] :
( ~ m1_subset_1(X7,k5_finsub_1(X0))
| k1_xboole_0 = X7
| k8_funct_2(X1,X3,X6,k7_setwiseo(X0,X1,X2,X7,X5)) = k7_setwiseo(X0,X3,X4,X7,k7_funct_2(X0,X1,X3,X5,X6)) ) ) ) ) ) ) ) ),
inference(rectify,[],[f7933]) ).
fof(f9786,plain,
! [X0] :
( v1_xboole_0(X0)
| ! [X1] :
( v1_xboole_0(X1)
| ! [X2] :
( ~ m2_relset_1(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X2)
| ~ v3_binop_1(X2,X1)
| ~ v2_binop_1(X2,X1)
| ~ v1_binop_1(X2,X1)
| ! [X3] :
( v1_xboole_0(X3)
| ! [X4] :
( ~ m2_relset_1(X4,k2_zfmisc_1(X3,X3),X3)
| ~ v1_funct_2(X4,k2_zfmisc_1(X3,X3),X3)
| ~ v1_funct_1(X4)
| ~ v3_binop_1(X4,X3)
| ~ v2_binop_1(X4,X3)
| ~ v1_binop_1(X4,X3)
| ! [X5] :
( ~ m2_relset_1(X5,X0,X1)
| ~ v1_funct_2(X5,X0,X1)
| ~ v1_funct_1(X5)
| ! [X6] :
( ~ m2_relset_1(X6,X1,X3)
| ~ v1_funct_2(X6,X1,X3)
| ~ v1_funct_1(X6)
| ( m1_subset_1(sK328(X1,X2,X3,X4,X6),X1)
& m1_subset_1(sK329(X1,X2,X3,X4,X6),X1)
& k8_funct_2(X1,X3,X6,k2_binop_1(X1,X1,X1,X2,sK328(X1,X2,X3,X4,X6),sK329(X1,X2,X3,X4,X6))) != k2_binop_1(X3,X3,X3,X4,k8_funct_2(X1,X3,X6,sK328(X1,X2,X3,X4,X6)),k8_funct_2(X1,X3,X6,sK329(X1,X2,X3,X4,X6))) )
| ! [X7] :
( ~ m1_subset_1(X7,k5_finsub_1(X0))
| k1_xboole_0 = X7
| k8_funct_2(X1,X3,X6,k7_setwiseo(X0,X1,X2,X7,X5)) = k7_setwiseo(X0,X3,X4,X7,k7_funct_2(X0,X1,X3,X5,X6)) ) ) ) ) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK328,sK329]),skolemize(X8,sK328(X1,X2,X3,X4,X6)),skolemize(X9,sK329(X1,X2,X3,X4,X6))],[f9785]) ).
fof(f9787,plain,
! [X0] :
( v1_xboole_0(X0)
| ! [X1] :
( v1_xboole_0(X1)
| ! [X2] :
( ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ! [X3] :
( ~ m1_subset_1(X3,k5_finsub_1(X1))
| ! [X4] :
( ~ m2_relset_1(X4,X1,X0)
| ~ v1_funct_2(X4,X1,X0)
| ~ v1_funct_1(X4)
| ~ v3_binop_1(X2,X0)
| ~ v2_binop_1(X2,X0)
| ~ v1_binop_1(X2,X0)
| ! [X5] :
( ~ m1_subset_1(X5,X0)
| ( m1_subset_1(sK330(X0,X1,X3,X4,X5),X1)
& r2_hidden(sK330(X0,X1,X3,X4,X5),X3)
& k8_funct_2(X1,X0,X4,sK330(X0,X1,X3,X4,X5)) != X5 )
| k7_setwiseo(X1,X0,X2,X3,X4) = X5 )
| X3 = k1_xboole_0 ) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK330]),skolemize(X6,sK330(X0,X1,X3,X4,X5))],[f7939]) ).
fof(f9788,plain,
! [X0] :
( v1_xboole_0(X0)
| ! [X1] :
( ~ m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| ( ( ~ v3_binop_1(X1,X0)
| ! [X2] :
( ~ m1_subset_1(X2,X0)
| k2_binop_1(X0,X0,X0,X1,X2,X2) = X2 ) )
& ( ? [X2] :
( m1_subset_1(X2,X0)
& k2_binop_1(X0,X0,X0,X1,X2,X2) != X2 )
| v3_binop_1(X1,X0) ) ) ) ),
inference(nnf_transformation,[],[f7949]) ).
fof(f9789,plain,
! [X0] :
( v1_xboole_0(X0)
| ! [X1] :
( ~ m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| ( ( ~ v3_binop_1(X1,X0)
| ! [X3] :
( ~ m1_subset_1(X3,X0)
| k2_binop_1(X0,X0,X0,X1,X3,X3) = X3 ) )
& ( ? [X2] :
( m1_subset_1(X2,X0)
& k2_binop_1(X0,X0,X0,X1,X2,X2) != X2 )
| v3_binop_1(X1,X0) ) ) ) ),
inference(rectify,[],[f9788]) ).
fof(f9790,plain,
! [X0] :
( v1_xboole_0(X0)
| ! [X1] :
( ~ m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| ( ( ~ v3_binop_1(X1,X0)
| ! [X3] :
( ~ m1_subset_1(X3,X0)
| k2_binop_1(X0,X0,X0,X1,X3,X3) = X3 ) )
& ( ( m1_subset_1(sK331(X0,X1),X0)
& sK331(X0,X1) != k2_binop_1(X0,X0,X0,X1,sK331(X0,X1),sK331(X0,X1)) )
| v3_binop_1(X1,X0) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK331]),skolemize(X2,sK331(X0,X1))],[f9789]) ).
fof(f9791,plain,
! [X0,X1] :
( ~ m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| ( ( ~ v3_binop_1(X1,X0)
| ! [X2] :
( ~ m1_subset_1(X2,X0)
| k1_binop_1(X1,X2,X2) = X2 ) )
& ( ? [X2] :
( m1_subset_1(X2,X0)
& k1_binop_1(X1,X2,X2) != X2 )
| v3_binop_1(X1,X0) ) ) ),
inference(nnf_transformation,[],[f7951]) ).
fof(f9792,plain,
! [X0,X1] :
( ~ m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| ( ( ~ v3_binop_1(X1,X0)
| ! [X3] :
( ~ m1_subset_1(X3,X0)
| k1_binop_1(X1,X3,X3) = X3 ) )
& ( ? [X2] :
( m1_subset_1(X2,X0)
& k1_binop_1(X1,X2,X2) != X2 )
| v3_binop_1(X1,X0) ) ) ),
inference(rectify,[],[f9791]) ).
fof(f9793,plain,
! [X0,X1] :
( ~ m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| ( ( ~ v3_binop_1(X1,X0)
| ! [X3] :
( ~ m1_subset_1(X3,X0)
| k1_binop_1(X1,X3,X3) = X3 ) )
& ( ( m1_subset_1(sK332(X0,X1),X0)
& sK332(X0,X1) != k1_binop_1(X1,sK332(X0,X1),sK332(X0,X1)) )
| v3_binop_1(X1,X0) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK332]),skolemize(X2,sK332(X0,X1))],[f9792]) ).
fof(f9794,plain,
! [X0] :
( v1_xboole_0(X0)
| ! [X1] :
( v1_xboole_0(X1)
| ! [X2] :
( ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ! [X3] :
( ~ m2_relset_1(X3,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X3,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X3)
| ! [X4] :
( ~ m2_relset_1(X4,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X4,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X4)
| ! [X5] :
( ~ m2_relset_1(X5,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X5,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X5)
| ( ( ~ r6_binop_1(X1,X4,X5)
| ~ r6_binop_1(X0,X2,X3)
| r6_binop_1(k2_zfmisc_1(X0,X1),k7_filter_1(X0,X1,X2,X4),k7_filter_1(X0,X1,X3,X5)) )
& ( ~ r6_binop_1(k2_zfmisc_1(X0,X1),k7_filter_1(X0,X1,X2,X4),k7_filter_1(X0,X1,X3,X5))
| ( r6_binop_1(X1,X4,X5)
& r6_binop_1(X0,X2,X3) ) ) ) ) ) ) ) ) ),
inference(nnf_transformation,[],[f7957]) ).
fof(f9795,plain,
! [X0] :
( v1_xboole_0(X0)
| ! [X1] :
( v1_xboole_0(X1)
| ! [X2] :
( ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ! [X3] :
( ~ m2_relset_1(X3,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X3,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X3)
| ! [X4] :
( ~ m2_relset_1(X4,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X4,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X4)
| ! [X5] :
( ~ m2_relset_1(X5,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X5,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X5)
| ( ( ~ r6_binop_1(X1,X4,X5)
| ~ r6_binop_1(X0,X2,X3)
| r6_binop_1(k2_zfmisc_1(X0,X1),k7_filter_1(X0,X1,X2,X4),k7_filter_1(X0,X1,X3,X5)) )
& ( ~ r6_binop_1(k2_zfmisc_1(X0,X1),k7_filter_1(X0,X1,X2,X4),k7_filter_1(X0,X1,X3,X5))
| ( r6_binop_1(X1,X4,X5)
& r6_binop_1(X0,X2,X3) ) ) ) ) ) ) ) ) ),
inference(flattening,[],[f9794]) ).
fof(f9796,plain,
! [X0] :
( v1_xboole_0(X0)
| ! [X1] :
( v1_xboole_0(X1)
| ! [X2] :
( ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ! [X3] :
( ~ m2_relset_1(X3,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X3)
| ( ( ~ v2_binop_1(X3,X1)
| ~ v2_binop_1(X2,X0)
| v2_binop_1(k7_filter_1(X0,X1,X2,X3),k2_zfmisc_1(X0,X1)) )
& ( ~ v2_binop_1(k7_filter_1(X0,X1,X2,X3),k2_zfmisc_1(X0,X1))
| ( v2_binop_1(X3,X1)
& v2_binop_1(X2,X0) ) ) ) ) ) ) ),
inference(nnf_transformation,[],[f7959]) ).
fof(f9797,plain,
! [X0] :
( v1_xboole_0(X0)
| ! [X1] :
( v1_xboole_0(X1)
| ! [X2] :
( ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ! [X3] :
( ~ m2_relset_1(X3,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X3)
| ( ( ~ v2_binop_1(X3,X1)
| ~ v2_binop_1(X2,X0)
| v2_binop_1(k7_filter_1(X0,X1,X2,X3),k2_zfmisc_1(X0,X1)) )
& ( ~ v2_binop_1(k7_filter_1(X0,X1,X2,X3),k2_zfmisc_1(X0,X1))
| ( v2_binop_1(X3,X1)
& v2_binop_1(X2,X0) ) ) ) ) ) ) ),
inference(flattening,[],[f9796]) ).
fof(f9798,plain,
! [X0] :
( v1_xboole_0(X0)
| ! [X1] :
( v1_xboole_0(X1)
| ! [X2] :
( ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ! [X3] :
( ~ m2_relset_1(X3,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X3)
| ( ( ~ v1_binop_1(X3,X1)
| ~ v1_binop_1(X2,X0)
| v1_binop_1(k7_filter_1(X0,X1,X2,X3),k2_zfmisc_1(X0,X1)) )
& ( ~ v1_binop_1(k7_filter_1(X0,X1,X2,X3),k2_zfmisc_1(X0,X1))
| ( v1_binop_1(X3,X1)
& v1_binop_1(X2,X0) ) ) ) ) ) ) ),
inference(nnf_transformation,[],[f7961]) ).
fof(f9799,plain,
! [X0] :
( v1_xboole_0(X0)
| ! [X1] :
( v1_xboole_0(X1)
| ! [X2] :
( ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ! [X3] :
( ~ m2_relset_1(X3,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X3)
| ( ( ~ v1_binop_1(X3,X1)
| ~ v1_binop_1(X2,X0)
| v1_binop_1(k7_filter_1(X0,X1,X2,X3),k2_zfmisc_1(X0,X1)) )
& ( ~ v1_binop_1(k7_filter_1(X0,X1,X2,X3),k2_zfmisc_1(X0,X1))
| ( v1_binop_1(X3,X1)
& v1_binop_1(X2,X0) ) ) ) ) ) ) ),
inference(flattening,[],[f9798]) ).
fof(f9800,plain,
! [X0,X1] :
( v1_funct_2(sK333(X0,X1),X0,X1)
& v1_funct_1(sK333(X0,X1))
& v1_relat_1(sK333(X0,X1))
& m1_relset_1(sK333(X0,X1),X0,X1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK333]),skolemize(X2,sK333(X0,X1))],[f1690]) ).
fof(f9801,plain,
! [X0,X1] :
( v1_funct_1(sK334(X0,X1))
& v1_relat_1(sK334(X0,X1))
& m1_relset_1(sK334(X0,X1),X0,X1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK334]),skolemize(X2,sK334(X0,X1))],[f1347]) ).
fof(f9802,plain,
! [X0,X1,X2] :
( ( ~ m2_relset_1(X2,X0,X1)
| m1_relset_1(X2,X0,X1) )
& ( ~ m1_relset_1(X2,X0,X1)
| m2_relset_1(X2,X0,X1) ) ),
inference(nnf_transformation,[],[f1318]) ).
fof(f9803,plain,
! [X0,X1] : m1_relset_1(sK335(X0,X1),X0,X1),
inference(skolemize,[status(esa),new_symbols(skolem,[sK335]),skolemize(X2,sK335(X0,X1))],[f1315]) ).
fof(f9804,plain,
! [X0,X1,X2] :
( ( ~ m1_relset_1(X2,X0,X1)
| r1_tarski(X2,k2_zfmisc_1(X0,X1)) )
& ( ~ r1_tarski(X2,k2_zfmisc_1(X0,X1))
| m1_relset_1(X2,X0,X1) ) ),
inference(nnf_transformation,[],[f1258]) ).
fof(f9805,plain,
! [X0] :
( v1_xboole_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,k5_finsub_1(X0))
| ! [X2] :
( ~ l3_lattices(X2)
| ~ v14_lattices(X2)
| ~ v10_lattices(X2)
| v3_struct_0(X2)
| ! [X3] :
( ~ m2_relset_1(X3,X0,u1_struct_0(X2))
| ~ v1_funct_2(X3,X0,u1_struct_0(X2))
| ~ v1_funct_1(X3)
| ! [X4] :
( ~ m2_relset_1(X4,X0,u1_struct_0(X2))
| ~ v1_funct_2(X4,X0,u1_struct_0(X2))
| ~ v1_funct_1(X4)
| ( m1_subset_1(sK336(X0,X1,X2,X3,X4),X0)
& r2_hidden(sK336(X0,X1,X2,X3,X4),X1)
& ~ r3_lattices(X2,k8_funct_2(X0,u1_struct_0(X2),X3,sK336(X0,X1,X2,X3,X4)),k8_funct_2(X0,u1_struct_0(X2),X4,sK336(X0,X1,X2,X3,X4))) )
| r3_lattices(X2,k3_lattice2(X0,X2,X1,X3),k3_lattice2(X0,X2,X1,X4)) ) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK336]),skolemize(X5,sK336(X0,X1,X2,X3,X4))],[f7985]) ).
fof(f9806,plain,
! [X0] :
( v1_xboole_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,k5_finsub_1(X0))
| ! [X2] :
( ~ l3_lattices(X2)
| ~ v14_lattices(X2)
| ~ v10_lattices(X2)
| v3_struct_0(X2)
| ! [X3] :
( ~ m2_relset_1(X3,X0,u1_struct_0(X2))
| ~ v1_funct_2(X3,X0,u1_struct_0(X2))
| ~ v1_funct_1(X3)
| ! [X4] :
( ~ m1_subset_1(X4,u1_struct_0(X2))
| ( m1_subset_1(sK337(X0,X1,X2,X3,X4),X0)
& r2_hidden(sK337(X0,X1,X2,X3,X4),X1)
& ~ r3_lattices(X2,X4,k8_funct_2(X0,u1_struct_0(X2),X3,sK337(X0,X1,X2,X3,X4))) )
| r3_lattices(X2,X4,k3_lattice2(X0,X2,X1,X3)) ) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK337]),skolemize(X5,sK337(X0,X1,X2,X3,X4))],[f7987]) ).
fof(f9807,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( v1_xboole_0(X1)
| ! [X2] :
( ~ m1_subset_1(X2,k5_finsub_1(X1))
| ! [X3] :
( ~ m2_relset_1(X3,X1,u1_struct_0(X0))
| ~ v1_funct_2(X3,X1,u1_struct_0(X0))
| ~ v1_funct_1(X3)
| ! [X4] :
( ~ m2_relset_1(X4,X1,u1_struct_0(X0))
| ~ v1_funct_2(X4,X1,u1_struct_0(X0))
| ~ v1_funct_1(X4)
| ( m1_subset_1(sK338(X0,X1,X2,X3,X4),X1)
& r2_hidden(sK338(X0,X1,X2,X3,X4),X2)
& ~ r3_lattices(X0,k8_funct_2(X1,u1_struct_0(X0),X3,sK338(X0,X1,X2,X3,X4)),k8_funct_2(X1,u1_struct_0(X0),X4,sK338(X0,X1,X2,X3,X4))) )
| r3_lattices(X0,k3_lattice2(X1,X0,X2,X3),k3_lattice2(X1,X0,X2,X4))
| X2 = k1_xboole_0 ) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK338]),skolemize(X5,sK338(X0,X1,X2,X3,X4))],[f7991]) ).
fof(f9808,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ! [X2] :
( v1_xboole_0(X2)
| ! [X3] :
( ~ m1_subset_1(X3,k5_finsub_1(X2))
| ! [X4] :
( ~ m2_relset_1(X4,X2,u1_struct_0(X0))
| ~ v1_funct_2(X4,X2,u1_struct_0(X0))
| ~ v1_funct_1(X4)
| ( m1_subset_1(sK339(X0,X1,X2,X3,X4),X2)
& r2_hidden(sK339(X0,X1,X2,X3,X4),X3)
& ~ r3_lattices(X0,X1,k8_funct_2(X2,u1_struct_0(X0),X4,sK339(X0,X1,X2,X3,X4))) )
| r3_lattices(X0,X1,k3_lattice2(X2,X0,X3,X4))
| X3 = k1_xboole_0 ) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK339]),skolemize(X5,sK339(X0,X1,X2,X3,X4))],[f7993]) ).
fof(f9809,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ! [X2] :
( v1_xboole_0(X2)
| ! [X3] :
( ~ m1_subset_1(X3,k5_finsub_1(X2))
| ! [X4] :
( ~ m2_relset_1(X4,X2,u1_struct_0(X0))
| ~ v1_funct_2(X4,X2,u1_struct_0(X0))
| ~ v1_funct_1(X4)
| ( m1_subset_1(sK340(X0,X1,X2,X3,X4),X2)
& r2_hidden(sK340(X0,X1,X2,X3,X4),X3)
& k8_funct_2(X2,u1_struct_0(X0),X4,sK340(X0,X1,X2,X3,X4)) != X1 )
| k3_lattice2(X2,X0,X3,X4) = X1
| X3 = k1_xboole_0 ) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK340]),skolemize(X5,sK340(X0,X1,X2,X3,X4))],[f7999]) ).
fof(f9810,plain,
! [X0,X1,X2] :
( ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| ( ( ~ r2_hidden(X1,k1_relat_1(k5_relat_1(X2,k6_relat_1(X0))))
| ( r2_hidden(k1_funct_1(X2,X1),X0)
& r2_hidden(X1,k1_relat_1(X2)) ) )
& ( ~ r2_hidden(k1_funct_1(X2,X1),X0)
| ~ r2_hidden(X1,k1_relat_1(X2))
| r2_hidden(X1,k1_relat_1(k5_relat_1(X2,k6_relat_1(X0)))) ) ) ),
inference(nnf_transformation,[],[f8021]) ).
fof(f9811,plain,
! [X0,X1,X2] :
( ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| ( ( ~ r2_hidden(X1,k1_relat_1(k5_relat_1(X2,k6_relat_1(X0))))
| ( r2_hidden(k1_funct_1(X2,X1),X0)
& r2_hidden(X1,k1_relat_1(X2)) ) )
& ( ~ r2_hidden(k1_funct_1(X2,X1),X0)
| ~ r2_hidden(X1,k1_relat_1(X2))
| r2_hidden(X1,k1_relat_1(k5_relat_1(X2,k6_relat_1(X0)))) ) ) ),
inference(flattening,[],[f9810]) ).
fof(f9812,plain,
! [X0,X1] :
( ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ( ( k6_relat_1(X0) != X1
| ( ! [X2] :
( ~ r2_hidden(X2,X0)
| k1_funct_1(X1,X2) = X2 )
& k1_relat_1(X1) = X0 ) )
& ( ? [X2] :
( r2_hidden(X2,X0)
& k1_funct_1(X1,X2) != X2 )
| k1_relat_1(X1) != X0
| X1 = k6_relat_1(X0) ) ) ),
inference(nnf_transformation,[],[f8028]) ).
fof(f9813,plain,
! [X0,X1] :
( ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ( ( k6_relat_1(X0) != X1
| ( ! [X2] :
( ~ r2_hidden(X2,X0)
| k1_funct_1(X1,X2) = X2 )
& k1_relat_1(X1) = X0 ) )
& ( ? [X2] :
( r2_hidden(X2,X0)
& k1_funct_1(X1,X2) != X2 )
| k1_relat_1(X1) != X0
| X1 = k6_relat_1(X0) ) ) ),
inference(flattening,[],[f9812]) ).
fof(f9814,plain,
! [X0,X1] :
( ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ( ( k6_relat_1(X0) != X1
| ( ! [X3] :
( ~ r2_hidden(X3,X0)
| k1_funct_1(X1,X3) = X3 )
& k1_relat_1(X1) = X0 ) )
& ( ? [X2] :
( r2_hidden(X2,X0)
& k1_funct_1(X1,X2) != X2 )
| k1_relat_1(X1) != X0
| X1 = k6_relat_1(X0) ) ) ),
inference(rectify,[],[f9813]) ).
fof(f9815,plain,
! [X0,X1] :
( ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ( ( k6_relat_1(X0) != X1
| ( ! [X3] :
( ~ r2_hidden(X3,X0)
| k1_funct_1(X1,X3) = X3 )
& k1_relat_1(X1) = X0 ) )
& ( ( r2_hidden(sK341(X0,X1),X0)
& sK341(X0,X1) != k1_funct_1(X1,sK341(X0,X1)) )
| k1_relat_1(X1) != X0
| X1 = k6_relat_1(X0) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK341]),skolemize(X2,sK341(X0,X1))],[f9814]) ).
fof(f9816,plain,
! [X0,X1,X2,X3] :
( ~ v1_relat_1(X3)
| ( ( ~ r2_hidden(k4_tarski(X0,X1),k5_relat_1(X3,k6_relat_1(X2)))
| ( r2_hidden(k4_tarski(X0,X1),X3)
& r2_hidden(X1,X2) ) )
& ( ~ r2_hidden(k4_tarski(X0,X1),X3)
| ~ r2_hidden(X1,X2)
| r2_hidden(k4_tarski(X0,X1),k5_relat_1(X3,k6_relat_1(X2))) ) ) ),
inference(nnf_transformation,[],[f8040]) ).
fof(f9817,plain,
! [X0,X1,X2,X3] :
( ~ v1_relat_1(X3)
| ( ( ~ r2_hidden(k4_tarski(X0,X1),k5_relat_1(X3,k6_relat_1(X2)))
| ( r2_hidden(k4_tarski(X0,X1),X3)
& r2_hidden(X1,X2) ) )
& ( ~ r2_hidden(k4_tarski(X0,X1),X3)
| ~ r2_hidden(X1,X2)
| r2_hidden(k4_tarski(X0,X1),k5_relat_1(X3,k6_relat_1(X2))) ) ) ),
inference(flattening,[],[f9816]) ).
fof(f9818,plain,
! [X0,X1,X2,X3] :
( ~ v1_relat_1(X3)
| ( ( ~ r2_hidden(k4_tarski(X0,X1),k5_relat_1(k6_relat_1(X2),X3))
| ( r2_hidden(k4_tarski(X0,X1),X3)
& r2_hidden(X0,X2) ) )
& ( ~ r2_hidden(k4_tarski(X0,X1),X3)
| ~ r2_hidden(X0,X2)
| r2_hidden(k4_tarski(X0,X1),k5_relat_1(k6_relat_1(X2),X3)) ) ) ),
inference(nnf_transformation,[],[f8041]) ).
fof(f9819,plain,
! [X0,X1,X2,X3] :
( ~ v1_relat_1(X3)
| ( ( ~ r2_hidden(k4_tarski(X0,X1),k5_relat_1(k6_relat_1(X2),X3))
| ( r2_hidden(k4_tarski(X0,X1),X3)
& r2_hidden(X0,X2) ) )
& ( ~ r2_hidden(k4_tarski(X0,X1),X3)
| ~ r2_hidden(X0,X2)
| r2_hidden(k4_tarski(X0,X1),k5_relat_1(k6_relat_1(X2),X3)) ) ) ),
inference(flattening,[],[f9818]) ).
fof(f9820,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| ( r2_hidden(sK342(X0,X1),X0)
& ~ r2_hidden(k4_tarski(sK342(X0,X1),sK342(X0,X1)),X1) )
| r1_tarski(k6_relat_1(X0),X1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK342]),skolemize(X2,sK342(X0,X1))],[f8043]) ).
fof(f9821,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| ( ( k6_relat_1(X0) != X1
| ! [X2,X3] :
( ( ~ r2_hidden(k4_tarski(X2,X3),X1)
| ( X2 = X3
& r2_hidden(X2,X0) ) )
& ( X2 != X3
| ~ r2_hidden(X2,X0)
| r2_hidden(k4_tarski(X2,X3),X1) ) ) )
& ( ? [X2,X3] :
( ( r2_hidden(k4_tarski(X2,X3),X1)
| ( X2 = X3
& r2_hidden(X2,X0) ) )
& ( ~ r2_hidden(k4_tarski(X2,X3),X1)
| X2 != X3
| ~ r2_hidden(X2,X0) ) )
| X1 = k6_relat_1(X0) ) ) ),
inference(nnf_transformation,[],[f8044]) ).
fof(f9822,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| ( ( k6_relat_1(X0) != X1
| ! [X2,X3] :
( ( ~ r2_hidden(k4_tarski(X2,X3),X1)
| ( X2 = X3
& r2_hidden(X2,X0) ) )
& ( X2 != X3
| ~ r2_hidden(X2,X0)
| r2_hidden(k4_tarski(X2,X3),X1) ) ) )
& ( ? [X2,X3] :
( ( r2_hidden(k4_tarski(X2,X3),X1)
| ( X2 = X3
& r2_hidden(X2,X0) ) )
& ( ~ r2_hidden(k4_tarski(X2,X3),X1)
| X2 != X3
| ~ r2_hidden(X2,X0) ) )
| X1 = k6_relat_1(X0) ) ) ),
inference(flattening,[],[f9821]) ).
fof(f9823,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| ( ( k6_relat_1(X0) != X1
| ! [X4,X5] :
( ( ~ r2_hidden(k4_tarski(X4,X5),X1)
| ( X4 = X5
& r2_hidden(X4,X0) ) )
& ( X4 != X5
| ~ r2_hidden(X4,X0)
| r2_hidden(k4_tarski(X4,X5),X1) ) ) )
& ( ? [X2,X3] :
( ( r2_hidden(k4_tarski(X2,X3),X1)
| ( X2 = X3
& r2_hidden(X2,X0) ) )
& ( ~ r2_hidden(k4_tarski(X2,X3),X1)
| X2 != X3
| ~ r2_hidden(X2,X0) ) )
| X1 = k6_relat_1(X0) ) ) ),
inference(rectify,[],[f9822]) ).
fof(f9824,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| ( ( k6_relat_1(X0) != X1
| ! [X4,X5] :
( ( ~ r2_hidden(k4_tarski(X4,X5),X1)
| ( X4 = X5
& r2_hidden(X4,X0) ) )
& ( X4 != X5
| ~ r2_hidden(X4,X0)
| r2_hidden(k4_tarski(X4,X5),X1) ) ) )
& ( ( ( r2_hidden(k4_tarski(sK343(X0,X1),sK344(X0,X1)),X1)
| ( sK343(X0,X1) = sK344(X0,X1)
& r2_hidden(sK343(X0,X1),X0) ) )
& ( ~ r2_hidden(k4_tarski(sK343(X0,X1),sK344(X0,X1)),X1)
| sK343(X0,X1) != sK344(X0,X1)
| ~ r2_hidden(sK343(X0,X1),X0) ) )
| X1 = k6_relat_1(X0) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK343,sK344]),skolemize(X2,sK343(X0,X1)),skolemize(X3,sK344(X0,X1))],[f9823]) ).
fof(f9825,plain,
! [X0] :
( ~ sP24(X0)
| ( ( ~ v2_funct_1(X0)
| sP23(X0) )
& ( ~ sP23(X0)
| v2_funct_1(X0) ) ) ),
inference(nnf_transformation,[],[f9248]) ).
fof(f9829,plain,
! [X0,X1] :
( ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ( v1_funct_1(sK347(X0,X1))
& v1_relat_1(sK347(X0,X1))
& v1_funct_1(sK348(X0,X1))
& v1_relat_1(sK348(X0,X1))
& k5_relat_1(X1,sK347(X0,X1)) = k5_relat_1(X1,sK348(X0,X1))
& k1_relat_1(sK348(X0,X1)) = X0
& k1_relat_1(sK347(X0,X1)) = X0
& sK347(X0,X1) != sK348(X0,X1) )
| ~ r1_tarski(k2_relat_1(X1),X0)
| X0 = k2_relat_1(X1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK347,sK348]),skolemize(X2,sK347(X0,X1)),skolemize(X3,sK348(X0,X1))],[f8074]) ).
fof(f9830,plain,
! [X0,X1] :
( ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ! [X2] :
( ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| ( ( ~ r2_hidden(X0,k1_relat_1(k5_relat_1(X2,X1)))
| ( r2_hidden(k1_funct_1(X2,X0),k1_relat_1(X1))
& r2_hidden(X0,k1_relat_1(X2)) ) )
& ( ~ r2_hidden(k1_funct_1(X2,X0),k1_relat_1(X1))
| ~ r2_hidden(X0,k1_relat_1(X2))
| r2_hidden(X0,k1_relat_1(k5_relat_1(X2,X1))) ) ) ) ),
inference(nnf_transformation,[],[f8084]) ).
fof(f9831,plain,
! [X0,X1] :
( ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ! [X2] :
( ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| ( ( ~ r2_hidden(X0,k1_relat_1(k5_relat_1(X2,X1)))
| ( r2_hidden(k1_funct_1(X2,X0),k1_relat_1(X1))
& r2_hidden(X0,k1_relat_1(X2)) ) )
& ( ~ r2_hidden(k1_funct_1(X2,X0),k1_relat_1(X1))
| ~ r2_hidden(X0,k1_relat_1(X2))
| r2_hidden(X0,k1_relat_1(k5_relat_1(X2,X1))) ) ) ) ),
inference(flattening,[],[f9830]) ).
fof(f9832,plain,
! [X0] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ! [X1] :
( ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ! [X2] :
( ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| ? [X4] :
( r2_hidden(X4,k1_relat_1(X2))
& k1_funct_1(X2,X4) != k1_funct_1(X1,k1_funct_1(X0,X4)) )
| ? [X3] :
( ( r2_hidden(X3,k1_relat_1(X2))
| ( r2_hidden(k1_funct_1(X0,X3),k1_relat_1(X1))
& r2_hidden(X3,k1_relat_1(X0)) ) )
& ( ~ r2_hidden(X3,k1_relat_1(X2))
| ~ r2_hidden(k1_funct_1(X0,X3),k1_relat_1(X1))
| ~ r2_hidden(X3,k1_relat_1(X0)) ) )
| X2 = k5_relat_1(X0,X1) ) ) ),
inference(nnf_transformation,[],[f8086]) ).
fof(f9833,plain,
! [X0] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ! [X1] :
( ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ! [X2] :
( ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| ? [X4] :
( r2_hidden(X4,k1_relat_1(X2))
& k1_funct_1(X2,X4) != k1_funct_1(X1,k1_funct_1(X0,X4)) )
| ? [X3] :
( ( r2_hidden(X3,k1_relat_1(X2))
| ( r2_hidden(k1_funct_1(X0,X3),k1_relat_1(X1))
& r2_hidden(X3,k1_relat_1(X0)) ) )
& ( ~ r2_hidden(X3,k1_relat_1(X2))
| ~ r2_hidden(k1_funct_1(X0,X3),k1_relat_1(X1))
| ~ r2_hidden(X3,k1_relat_1(X0)) ) )
| X2 = k5_relat_1(X0,X1) ) ) ),
inference(flattening,[],[f9832]) ).
fof(f9834,plain,
! [X0] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ! [X1] :
( ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ! [X2] :
( ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| ( r2_hidden(sK350(X0,X1,X2),k1_relat_1(X2))
& k1_funct_1(X2,sK350(X0,X1,X2)) != k1_funct_1(X1,k1_funct_1(X0,sK350(X0,X1,X2))) )
| ( ( r2_hidden(sK349(X0,X1,X2),k1_relat_1(X2))
| ( r2_hidden(k1_funct_1(X0,sK349(X0,X1,X2)),k1_relat_1(X1))
& r2_hidden(sK349(X0,X1,X2),k1_relat_1(X0)) ) )
& ( ~ r2_hidden(sK349(X0,X1,X2),k1_relat_1(X2))
| ~ r2_hidden(k1_funct_1(X0,sK349(X0,X1,X2)),k1_relat_1(X1))
| ~ r2_hidden(sK349(X0,X1,X2),k1_relat_1(X0)) ) )
| X2 = k5_relat_1(X0,X1) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK349,sK350]),skolemize(X3,sK349(X0,X1,X2)),skolemize(X4,sK350(X0,X1,X2))],[f9833]) ).
fof(f9835,plain,
! [X0] :
( ~ v1_relat_1(X0)
| ! [X1] :
( ~ v1_relat_1(X1)
| ! [X2] :
( ~ v1_relat_1(X2)
| ( ( k5_relat_1(X0,X1) != X2
| ! [X3,X4] :
( ( ~ r2_hidden(k4_tarski(X3,X4),X2)
| ? [X5] :
( r2_hidden(k4_tarski(X5,X4),X1)
& r2_hidden(k4_tarski(X3,X5),X0) ) )
& ( ! [X5] :
( ~ r2_hidden(k4_tarski(X5,X4),X1)
| ~ r2_hidden(k4_tarski(X3,X5),X0) )
| r2_hidden(k4_tarski(X3,X4),X2) ) ) )
& ( ? [X3,X4] :
( ( r2_hidden(k4_tarski(X3,X4),X2)
| ? [X5] :
( r2_hidden(k4_tarski(X5,X4),X1)
& r2_hidden(k4_tarski(X3,X5),X0) ) )
& ( ~ r2_hidden(k4_tarski(X3,X4),X2)
| ! [X5] :
( ~ r2_hidden(k4_tarski(X5,X4),X1)
| ~ r2_hidden(k4_tarski(X3,X5),X0) ) ) )
| X2 = k5_relat_1(X0,X1) ) ) ) ) ),
inference(nnf_transformation,[],[f8113]) ).
fof(f9836,plain,
! [X0] :
( ~ v1_relat_1(X0)
| ! [X1] :
( ~ v1_relat_1(X1)
| ! [X2] :
( ~ v1_relat_1(X2)
| ( ( k5_relat_1(X0,X1) != X2
| ! [X7,X8] :
( ( ~ r2_hidden(k4_tarski(X7,X8),X2)
| ? [X10] :
( r2_hidden(k4_tarski(X10,X8),X1)
& r2_hidden(k4_tarski(X7,X10),X0) ) )
& ( ! [X9] :
( ~ r2_hidden(k4_tarski(X9,X8),X1)
| ~ r2_hidden(k4_tarski(X7,X9),X0) )
| r2_hidden(k4_tarski(X7,X8),X2) ) ) )
& ( ? [X3,X4] :
( ( r2_hidden(k4_tarski(X3,X4),X2)
| ? [X6] :
( r2_hidden(k4_tarski(X6,X4),X1)
& r2_hidden(k4_tarski(X3,X6),X0) ) )
& ( ~ r2_hidden(k4_tarski(X3,X4),X2)
| ! [X5] :
( ~ r2_hidden(k4_tarski(X5,X4),X1)
| ~ r2_hidden(k4_tarski(X3,X5),X0) ) ) )
| X2 = k5_relat_1(X0,X1) ) ) ) ) ),
inference(rectify,[],[f9835]) ).
fof(f9837,plain,
! [X0] :
( ~ v1_relat_1(X0)
| ! [X1] :
( ~ v1_relat_1(X1)
| ! [X2] :
( ~ v1_relat_1(X2)
| ( ( k5_relat_1(X0,X1) != X2
| ! [X7,X8] :
( ( ~ r2_hidden(k4_tarski(X7,X8),X2)
| ( r2_hidden(k4_tarski(sK354(X0,X1,X7,X8),X8),X1)
& r2_hidden(k4_tarski(X7,sK354(X0,X1,X7,X8)),X0) ) )
& ( ! [X9] :
( ~ r2_hidden(k4_tarski(X9,X8),X1)
| ~ r2_hidden(k4_tarski(X7,X9),X0) )
| r2_hidden(k4_tarski(X7,X8),X2) ) ) )
& ( ( ( r2_hidden(k4_tarski(sK351(X0,X1,X2),sK352(X0,X1,X2)),X2)
| ( r2_hidden(k4_tarski(sK353(X0,X1,X2),sK352(X0,X1,X2)),X1)
& r2_hidden(k4_tarski(sK351(X0,X1,X2),sK353(X0,X1,X2)),X0) ) )
& ( ~ r2_hidden(k4_tarski(sK351(X0,X1,X2),sK352(X0,X1,X2)),X2)
| ! [X5] :
( ~ r2_hidden(k4_tarski(X5,sK352(X0,X1,X2)),X1)
| ~ r2_hidden(k4_tarski(sK351(X0,X1,X2),X5),X0) ) ) )
| X2 = k5_relat_1(X0,X1) ) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK351,sK352,sK353,sK354]),skolemize(X3,sK351(X0,X1,X2)),skolemize(X4,sK352(X0,X1,X2)),skolemize(X6,sK353(X0,X1,X2)),skolemize(X10,sK354(X0,X1,X7,X8))],[f9836]) ).
fof(f9838,plain,
! [X0] : m1_eqrel_1(sK355(X0),X0),
inference(skolemize,[status(esa),new_symbols(skolem,[sK355]),skolemize(X1,sK355(X0))],[f3447]) ).
fof(f9839,plain,
! [X0,X1] :
( ~ m2_relset_1(X1,X0,X0)
| ( ( ~ m2_relset_1(X1,X0,X0)
| ~ v1_partfun1(X1,X0,X0)
| ~ v8_relat_2(X1)
| ~ v3_relat_2(X1)
| ( k3_relat_1(X1) = X0
& v8_relat_2(X1)
& v3_relat_2(X1)
& v1_relat_2(X1) ) )
& ( k3_relat_1(X1) != X0
| ~ v8_relat_2(X1)
| ~ v3_relat_2(X1)
| ~ v1_relat_2(X1)
| ( m2_relset_1(X1,X0,X0)
& v1_partfun1(X1,X0,X0)
& v8_relat_2(X1)
& v3_relat_2(X1) ) ) ) ),
inference(nnf_transformation,[],[f8120]) ).
fof(f9840,plain,
! [X0,X1] :
( ~ m2_relset_1(X1,X0,X0)
| ( ( ~ m2_relset_1(X1,X0,X0)
| ~ v1_partfun1(X1,X0,X0)
| ~ v8_relat_2(X1)
| ~ v3_relat_2(X1)
| ( k3_relat_1(X1) = X0
& v8_relat_2(X1)
& v3_relat_2(X1)
& v1_relat_2(X1) ) )
& ( k3_relat_1(X1) != X0
| ~ v8_relat_2(X1)
| ~ v3_relat_2(X1)
| ~ v1_relat_2(X1)
| ( m2_relset_1(X1,X0,X0)
& v1_partfun1(X1,X0,X0)
& v8_relat_2(X1)
& v3_relat_2(X1) ) ) ) ),
inference(flattening,[],[f9839]) ).
fof(f9841,plain,
! [X0] :
( ~ v1_relat_1(X0)
| ( ( ~ v1_relat_2(X0)
| r1_tarski(k6_relat_1(k3_relat_1(X0)),X0) )
& ( ~ r1_tarski(k6_relat_1(k3_relat_1(X0)),X0)
| v1_relat_2(X0) ) ) ),
inference(nnf_transformation,[],[f8122]) ).
fof(f9842,plain,
! [X0] :
( v1_xboole_0(X0)
| ! [X1] :
( ~ v1_relat_1(X1)
| ! [X2] :
( ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ( ( ~ m2_filter_1(X2,X0,X1)
| ! [X3] :
( ~ m1_subset_1(X3,X0)
| ! [X4] :
( ~ m1_subset_1(X4,X0)
| ! [X5] :
( ~ m1_subset_1(X5,X0)
| ! [X6] :
( ~ m1_subset_1(X6,X0)
| ~ r2_hidden(k1_domain_1(X0,X0,X5,X6),X1)
| ~ r2_hidden(k1_domain_1(X0,X0,X3,X4),X1)
| r2_hidden(k1_domain_1(X0,X0,k2_binop_1(X0,X0,X0,X2,X3,X5),k2_binop_1(X0,X0,X0,X2,X4,X6)),X1) ) ) ) ) )
& ( ? [X3] :
( m1_subset_1(X3,X0)
& ? [X4] :
( m1_subset_1(X4,X0)
& ? [X5] :
( m1_subset_1(X5,X0)
& ? [X6] :
( m1_subset_1(X6,X0)
& r2_hidden(k1_domain_1(X0,X0,X5,X6),X1)
& r2_hidden(k1_domain_1(X0,X0,X3,X4),X1)
& ~ r2_hidden(k1_domain_1(X0,X0,k2_binop_1(X0,X0,X0,X2,X3,X5),k2_binop_1(X0,X0,X0,X2,X4,X6)),X1) ) ) ) )
| m2_filter_1(X2,X0,X1) ) ) ) ) ),
inference(nnf_transformation,[],[f8135]) ).
fof(f9843,plain,
! [X0] :
( v1_xboole_0(X0)
| ! [X1] :
( ~ v1_relat_1(X1)
| ! [X2] :
( ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ( ( ~ m2_filter_1(X2,X0,X1)
| ! [X7] :
( ~ m1_subset_1(X7,X0)
| ! [X8] :
( ~ m1_subset_1(X8,X0)
| ! [X9] :
( ~ m1_subset_1(X9,X0)
| ! [X10] :
( ~ m1_subset_1(X10,X0)
| ~ r2_hidden(k1_domain_1(X0,X0,X9,X10),X1)
| ~ r2_hidden(k1_domain_1(X0,X0,X7,X8),X1)
| r2_hidden(k1_domain_1(X0,X0,k2_binop_1(X0,X0,X0,X2,X7,X9),k2_binop_1(X0,X0,X0,X2,X8,X10)),X1) ) ) ) ) )
& ( ? [X3] :
( m1_subset_1(X3,X0)
& ? [X4] :
( m1_subset_1(X4,X0)
& ? [X5] :
( m1_subset_1(X5,X0)
& ? [X6] :
( m1_subset_1(X6,X0)
& r2_hidden(k1_domain_1(X0,X0,X5,X6),X1)
& r2_hidden(k1_domain_1(X0,X0,X3,X4),X1)
& ~ r2_hidden(k1_domain_1(X0,X0,k2_binop_1(X0,X0,X0,X2,X3,X5),k2_binop_1(X0,X0,X0,X2,X4,X6)),X1) ) ) ) )
| m2_filter_1(X2,X0,X1) ) ) ) ) ),
inference(rectify,[],[f9842]) ).
fof(f9844,plain,
! [X0] :
( v1_xboole_0(X0)
| ! [X1] :
( ~ v1_relat_1(X1)
| ! [X2] :
( ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ( ( ~ m2_filter_1(X2,X0,X1)
| ! [X7] :
( ~ m1_subset_1(X7,X0)
| ! [X8] :
( ~ m1_subset_1(X8,X0)
| ! [X9] :
( ~ m1_subset_1(X9,X0)
| ! [X10] :
( ~ m1_subset_1(X10,X0)
| ~ r2_hidden(k1_domain_1(X0,X0,X9,X10),X1)
| ~ r2_hidden(k1_domain_1(X0,X0,X7,X8),X1)
| r2_hidden(k1_domain_1(X0,X0,k2_binop_1(X0,X0,X0,X2,X7,X9),k2_binop_1(X0,X0,X0,X2,X8,X10)),X1) ) ) ) ) )
& ( ( m1_subset_1(sK356(X0,X1,X2),X0)
& m1_subset_1(sK357(X0,X1,X2),X0)
& m1_subset_1(sK358(X0,X1,X2),X0)
& m1_subset_1(sK359(X0,X1,X2),X0)
& r2_hidden(k1_domain_1(X0,X0,sK358(X0,X1,X2),sK359(X0,X1,X2)),X1)
& r2_hidden(k1_domain_1(X0,X0,sK356(X0,X1,X2),sK357(X0,X1,X2)),X1)
& ~ r2_hidden(k1_domain_1(X0,X0,k2_binop_1(X0,X0,X0,X2,sK356(X0,X1,X2),sK358(X0,X1,X2)),k2_binop_1(X0,X0,X0,X2,sK357(X0,X1,X2),sK359(X0,X1,X2))),X1) )
| m2_filter_1(X2,X0,X1) ) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK356,sK357,sK358,sK359]),skolemize(X3,sK356(X0,X1,X2)),skolemize(X4,sK357(X0,X1,X2)),skolemize(X5,sK358(X0,X1,X2)),skolemize(X6,sK359(X0,X1,X2))],[f9843]) ).
fof(f9845,plain,
! [X0] :
( v1_xboole_0(X0)
| ! [X1] :
( ~ m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| ! [X2] :
( ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ v1_binop_1(X2,X0)
| ( ( ~ r6_binop_1(X0,X2,X1)
| ! [X3] :
( ~ m1_subset_1(X3,X0)
| ! [X4] :
( ~ m1_subset_1(X4,X0)
| ! [X5] :
( ~ m1_subset_1(X5,X0)
| k2_binop_1(X0,X0,X0,X2,k2_binop_1(X0,X0,X0,X1,X3,X4),X5) = k2_binop_1(X0,X0,X0,X1,k2_binop_1(X0,X0,X0,X2,X3,X5),k2_binop_1(X0,X0,X0,X2,X4,X5)) ) ) ) )
& ( ? [X3] :
( m1_subset_1(X3,X0)
& ? [X4] :
( m1_subset_1(X4,X0)
& ? [X5] :
( m1_subset_1(X5,X0)
& k2_binop_1(X0,X0,X0,X2,k2_binop_1(X0,X0,X0,X1,X3,X4),X5) != k2_binop_1(X0,X0,X0,X1,k2_binop_1(X0,X0,X0,X2,X3,X5),k2_binop_1(X0,X0,X0,X2,X4,X5)) ) ) )
| r6_binop_1(X0,X2,X1) ) ) ) ) ),
inference(nnf_transformation,[],[f8175]) ).
fof(f9846,plain,
! [X0] :
( v1_xboole_0(X0)
| ! [X1] :
( ~ m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| ! [X2] :
( ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ v1_binop_1(X2,X0)
| ( ( ~ r6_binop_1(X0,X2,X1)
| ! [X6] :
( ~ m1_subset_1(X6,X0)
| ! [X7] :
( ~ m1_subset_1(X7,X0)
| ! [X8] :
( ~ m1_subset_1(X8,X0)
| k2_binop_1(X0,X0,X0,X2,k2_binop_1(X0,X0,X0,X1,X6,X7),X8) = k2_binop_1(X0,X0,X0,X1,k2_binop_1(X0,X0,X0,X2,X6,X8),k2_binop_1(X0,X0,X0,X2,X7,X8)) ) ) ) )
& ( ? [X3] :
( m1_subset_1(X3,X0)
& ? [X4] :
( m1_subset_1(X4,X0)
& ? [X5] :
( m1_subset_1(X5,X0)
& k2_binop_1(X0,X0,X0,X2,k2_binop_1(X0,X0,X0,X1,X3,X4),X5) != k2_binop_1(X0,X0,X0,X1,k2_binop_1(X0,X0,X0,X2,X3,X5),k2_binop_1(X0,X0,X0,X2,X4,X5)) ) ) )
| r6_binop_1(X0,X2,X1) ) ) ) ) ),
inference(rectify,[],[f9845]) ).
fof(f9847,plain,
! [X0] :
( v1_xboole_0(X0)
| ! [X1] :
( ~ m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| ! [X2] :
( ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ v1_binop_1(X2,X0)
| ( ( ~ r6_binop_1(X0,X2,X1)
| ! [X6] :
( ~ m1_subset_1(X6,X0)
| ! [X7] :
( ~ m1_subset_1(X7,X0)
| ! [X8] :
( ~ m1_subset_1(X8,X0)
| k2_binop_1(X0,X0,X0,X2,k2_binop_1(X0,X0,X0,X1,X6,X7),X8) = k2_binop_1(X0,X0,X0,X1,k2_binop_1(X0,X0,X0,X2,X6,X8),k2_binop_1(X0,X0,X0,X2,X7,X8)) ) ) ) )
& ( ( m1_subset_1(sK360(X0,X1,X2),X0)
& m1_subset_1(sK361(X0,X1,X2),X0)
& m1_subset_1(sK362(X0,X1,X2),X0)
& k2_binop_1(X0,X0,X0,X2,k2_binop_1(X0,X0,X0,X1,sK360(X0,X1,X2),sK361(X0,X1,X2)),sK362(X0,X1,X2)) != k2_binop_1(X0,X0,X0,X1,k2_binop_1(X0,X0,X0,X2,sK360(X0,X1,X2),sK362(X0,X1,X2)),k2_binop_1(X0,X0,X0,X2,sK361(X0,X1,X2),sK362(X0,X1,X2))) )
| r6_binop_1(X0,X2,X1) ) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK360,sK361,sK362]),skolemize(X3,sK360(X0,X1,X2)),skolemize(X4,sK361(X0,X1,X2)),skolemize(X5,sK362(X0,X1,X2))],[f9846]) ).
fof(f9848,plain,
! [X0] :
( v1_xboole_0(X0)
| ! [X1] :
( ~ m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| ! [X2] :
( ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ v1_binop_1(X2,X0)
| ( ( ~ r6_binop_1(X0,X2,X1)
| ! [X3] :
( ~ m1_subset_1(X3,X0)
| ! [X4] :
( ~ m1_subset_1(X4,X0)
| ! [X5] :
( ~ m1_subset_1(X5,X0)
| k2_binop_1(X0,X0,X0,X2,X3,k2_binop_1(X0,X0,X0,X1,X4,X5)) = k2_binop_1(X0,X0,X0,X1,k2_binop_1(X0,X0,X0,X2,X3,X4),k2_binop_1(X0,X0,X0,X2,X3,X5)) ) ) ) )
& ( ? [X3] :
( m1_subset_1(X3,X0)
& ? [X4] :
( m1_subset_1(X4,X0)
& ? [X5] :
( m1_subset_1(X5,X0)
& k2_binop_1(X0,X0,X0,X2,X3,k2_binop_1(X0,X0,X0,X1,X4,X5)) != k2_binop_1(X0,X0,X0,X1,k2_binop_1(X0,X0,X0,X2,X3,X4),k2_binop_1(X0,X0,X0,X2,X3,X5)) ) ) )
| r6_binop_1(X0,X2,X1) ) ) ) ) ),
inference(nnf_transformation,[],[f8177]) ).
fof(f9849,plain,
! [X0] :
( v1_xboole_0(X0)
| ! [X1] :
( ~ m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| ! [X2] :
( ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ v1_binop_1(X2,X0)
| ( ( ~ r6_binop_1(X0,X2,X1)
| ! [X6] :
( ~ m1_subset_1(X6,X0)
| ! [X7] :
( ~ m1_subset_1(X7,X0)
| ! [X8] :
( ~ m1_subset_1(X8,X0)
| k2_binop_1(X0,X0,X0,X2,X6,k2_binop_1(X0,X0,X0,X1,X7,X8)) = k2_binop_1(X0,X0,X0,X1,k2_binop_1(X0,X0,X0,X2,X6,X7),k2_binop_1(X0,X0,X0,X2,X6,X8)) ) ) ) )
& ( ? [X3] :
( m1_subset_1(X3,X0)
& ? [X4] :
( m1_subset_1(X4,X0)
& ? [X5] :
( m1_subset_1(X5,X0)
& k2_binop_1(X0,X0,X0,X2,X3,k2_binop_1(X0,X0,X0,X1,X4,X5)) != k2_binop_1(X0,X0,X0,X1,k2_binop_1(X0,X0,X0,X2,X3,X4),k2_binop_1(X0,X0,X0,X2,X3,X5)) ) ) )
| r6_binop_1(X0,X2,X1) ) ) ) ) ),
inference(rectify,[],[f9848]) ).
fof(f9850,plain,
! [X0] :
( v1_xboole_0(X0)
| ! [X1] :
( ~ m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| ! [X2] :
( ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ v1_binop_1(X2,X0)
| ( ( ~ r6_binop_1(X0,X2,X1)
| ! [X6] :
( ~ m1_subset_1(X6,X0)
| ! [X7] :
( ~ m1_subset_1(X7,X0)
| ! [X8] :
( ~ m1_subset_1(X8,X0)
| k2_binop_1(X0,X0,X0,X2,X6,k2_binop_1(X0,X0,X0,X1,X7,X8)) = k2_binop_1(X0,X0,X0,X1,k2_binop_1(X0,X0,X0,X2,X6,X7),k2_binop_1(X0,X0,X0,X2,X6,X8)) ) ) ) )
& ( ( m1_subset_1(sK363(X0,X1,X2),X0)
& m1_subset_1(sK364(X0,X1,X2),X0)
& m1_subset_1(sK365(X0,X1,X2),X0)
& k2_binop_1(X0,X0,X0,X2,sK363(X0,X1,X2),k2_binop_1(X0,X0,X0,X1,sK364(X0,X1,X2),sK365(X0,X1,X2))) != k2_binop_1(X0,X0,X0,X1,k2_binop_1(X0,X0,X0,X2,sK363(X0,X1,X2),sK364(X0,X1,X2)),k2_binop_1(X0,X0,X0,X2,sK363(X0,X1,X2),sK365(X0,X1,X2))) )
| r6_binop_1(X0,X2,X1) ) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK363,sK364,sK365]),skolemize(X3,sK363(X0,X1,X2)),skolemize(X4,sK364(X0,X1,X2)),skolemize(X5,sK365(X0,X1,X2))],[f9849]) ).
fof(f9851,plain,
! [X0,X1] :
( ~ m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| ! [X2] :
( ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ( ( ~ r6_binop_1(X0,X1,X2)
| ! [X3] :
( ~ m1_subset_1(X3,X0)
| ! [X4] :
( ~ m1_subset_1(X4,X0)
| ! [X5] :
( ~ m1_subset_1(X5,X0)
| ( k1_binop_1(X1,k1_binop_1(X2,X3,X4),X5) = k1_binop_1(X2,k1_binop_1(X1,X3,X5),k1_binop_1(X1,X4,X5))
& k1_binop_1(X1,X3,k1_binop_1(X2,X4,X5)) = k1_binop_1(X2,k1_binop_1(X1,X3,X4),k1_binop_1(X1,X3,X5)) ) ) ) ) )
& ( ? [X3] :
( m1_subset_1(X3,X0)
& ? [X4] :
( m1_subset_1(X4,X0)
& ? [X5] :
( m1_subset_1(X5,X0)
& ( k1_binop_1(X1,k1_binop_1(X2,X3,X4),X5) != k1_binop_1(X2,k1_binop_1(X1,X3,X5),k1_binop_1(X1,X4,X5))
| k1_binop_1(X1,X3,k1_binop_1(X2,X4,X5)) != k1_binop_1(X2,k1_binop_1(X1,X3,X4),k1_binop_1(X1,X3,X5)) ) ) ) )
| r6_binop_1(X0,X1,X2) ) ) ) ),
inference(nnf_transformation,[],[f8179]) ).
fof(f9852,plain,
! [X0,X1] :
( ~ m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| ! [X2] :
( ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ( ( ~ r6_binop_1(X0,X1,X2)
| ! [X6] :
( ~ m1_subset_1(X6,X0)
| ! [X7] :
( ~ m1_subset_1(X7,X0)
| ! [X8] :
( ~ m1_subset_1(X8,X0)
| ( k1_binop_1(X1,k1_binop_1(X2,X6,X7),X8) = k1_binop_1(X2,k1_binop_1(X1,X6,X8),k1_binop_1(X1,X7,X8))
& k1_binop_1(X1,X6,k1_binop_1(X2,X7,X8)) = k1_binop_1(X2,k1_binop_1(X1,X6,X7),k1_binop_1(X1,X6,X8)) ) ) ) ) )
& ( ? [X3] :
( m1_subset_1(X3,X0)
& ? [X4] :
( m1_subset_1(X4,X0)
& ? [X5] :
( m1_subset_1(X5,X0)
& ( k1_binop_1(X1,k1_binop_1(X2,X3,X4),X5) != k1_binop_1(X2,k1_binop_1(X1,X3,X5),k1_binop_1(X1,X4,X5))
| k1_binop_1(X1,X3,k1_binop_1(X2,X4,X5)) != k1_binop_1(X2,k1_binop_1(X1,X3,X4),k1_binop_1(X1,X3,X5)) ) ) ) )
| r6_binop_1(X0,X1,X2) ) ) ) ),
inference(rectify,[],[f9851]) ).
fof(f9853,plain,
! [X0,X1] :
( ~ m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| ! [X2] :
( ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ( ( ~ r6_binop_1(X0,X1,X2)
| ! [X6] :
( ~ m1_subset_1(X6,X0)
| ! [X7] :
( ~ m1_subset_1(X7,X0)
| ! [X8] :
( ~ m1_subset_1(X8,X0)
| ( k1_binop_1(X1,k1_binop_1(X2,X6,X7),X8) = k1_binop_1(X2,k1_binop_1(X1,X6,X8),k1_binop_1(X1,X7,X8))
& k1_binop_1(X1,X6,k1_binop_1(X2,X7,X8)) = k1_binop_1(X2,k1_binop_1(X1,X6,X7),k1_binop_1(X1,X6,X8)) ) ) ) ) )
& ( ( m1_subset_1(sK366(X0,X1,X2),X0)
& m1_subset_1(sK367(X0,X1,X2),X0)
& m1_subset_1(sK368(X0,X1,X2),X0)
& ( k1_binop_1(X1,k1_binop_1(X2,sK366(X0,X1,X2),sK367(X0,X1,X2)),sK368(X0,X1,X2)) != k1_binop_1(X2,k1_binop_1(X1,sK366(X0,X1,X2),sK368(X0,X1,X2)),k1_binop_1(X1,sK367(X0,X1,X2),sK368(X0,X1,X2)))
| k1_binop_1(X1,sK366(X0,X1,X2),k1_binop_1(X2,sK367(X0,X1,X2),sK368(X0,X1,X2))) != k1_binop_1(X2,k1_binop_1(X1,sK366(X0,X1,X2),sK367(X0,X1,X2)),k1_binop_1(X1,sK366(X0,X1,X2),sK368(X0,X1,X2))) ) )
| r6_binop_1(X0,X1,X2) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK366,sK367,sK368]),skolemize(X3,sK366(X0,X1,X2)),skolemize(X4,sK367(X0,X1,X2)),skolemize(X5,sK368(X0,X1,X2))],[f9852]) ).
fof(f9854,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| v1_xboole_0(X0)
| m2_filter_1(sK369(X0,X1),X0,X1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK369]),skolemize(X2,sK369(X0,X1))],[f8181]) ).
fof(f9855,plain,
! [X0] :
( ~ l1_rlvect_1(X0)
| v3_struct_0(X0)
| ( ( ~ v3_rlvect_1(X0)
| ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| k1_binop_1(u1_rlvect_1(X0),X1,X2) = k1_binop_1(u1_rlvect_1(X0),X2,X1) ) ) )
& ( ? [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
& ? [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
& k1_binop_1(u1_rlvect_1(X0),X1,X2) != k1_binop_1(u1_rlvect_1(X0),X2,X1) ) )
| v3_rlvect_1(X0) ) ) ),
inference(nnf_transformation,[],[f8193]) ).
fof(f9856,plain,
! [X0] :
( ~ l1_rlvect_1(X0)
| v3_struct_0(X0)
| ( ( ~ v3_rlvect_1(X0)
| ! [X3] :
( ~ m1_subset_1(X3,u1_struct_0(X0))
| ! [X4] :
( ~ m1_subset_1(X4,u1_struct_0(X0))
| k1_binop_1(u1_rlvect_1(X0),X3,X4) = k1_binop_1(u1_rlvect_1(X0),X4,X3) ) ) )
& ( ? [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
& ? [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
& k1_binop_1(u1_rlvect_1(X0),X1,X2) != k1_binop_1(u1_rlvect_1(X0),X2,X1) ) )
| v3_rlvect_1(X0) ) ) ),
inference(rectify,[],[f9855]) ).
fof(f9857,plain,
! [X0] :
( ~ l1_rlvect_1(X0)
| v3_struct_0(X0)
| ( ( ~ v3_rlvect_1(X0)
| ! [X3] :
( ~ m1_subset_1(X3,u1_struct_0(X0))
| ! [X4] :
( ~ m1_subset_1(X4,u1_struct_0(X0))
| k1_binop_1(u1_rlvect_1(X0),X3,X4) = k1_binop_1(u1_rlvect_1(X0),X4,X3) ) ) )
& ( ( m1_subset_1(sK370(X0),u1_struct_0(X0))
& m1_subset_1(sK371(X0),u1_struct_0(X0))
& k1_binop_1(u1_rlvect_1(X0),sK370(X0),sK371(X0)) != k1_binop_1(u1_rlvect_1(X0),sK371(X0),sK370(X0)) )
| v3_rlvect_1(X0) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK370,sK371]),skolemize(X1,sK370(X0)),skolemize(X2,sK371(X0))],[f9856]) ).
fof(f9858,plain,
! [X0] :
( ~ l1_rlvect_1(X0)
| v3_struct_0(X0)
| ( ( ~ v4_rlvect_1(X0)
| ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| ! [X3] :
( ~ m1_subset_1(X3,u1_struct_0(X0))
| k1_binop_1(u1_rlvect_1(X0),k1_binop_1(u1_rlvect_1(X0),X1,X2),X3) = k1_binop_1(u1_rlvect_1(X0),X1,k1_binop_1(u1_rlvect_1(X0),X2,X3)) ) ) ) )
& ( ? [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
& ? [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
& ? [X3] :
( m1_subset_1(X3,u1_struct_0(X0))
& k1_binop_1(u1_rlvect_1(X0),k1_binop_1(u1_rlvect_1(X0),X1,X2),X3) != k1_binop_1(u1_rlvect_1(X0),X1,k1_binop_1(u1_rlvect_1(X0),X2,X3)) ) ) )
| v4_rlvect_1(X0) ) ) ),
inference(nnf_transformation,[],[f8195]) ).
fof(f9859,plain,
! [X0] :
( ~ l1_rlvect_1(X0)
| v3_struct_0(X0)
| ( ( ~ v4_rlvect_1(X0)
| ! [X4] :
( ~ m1_subset_1(X4,u1_struct_0(X0))
| ! [X5] :
( ~ m1_subset_1(X5,u1_struct_0(X0))
| ! [X6] :
( ~ m1_subset_1(X6,u1_struct_0(X0))
| k1_binop_1(u1_rlvect_1(X0),k1_binop_1(u1_rlvect_1(X0),X4,X5),X6) = k1_binop_1(u1_rlvect_1(X0),X4,k1_binop_1(u1_rlvect_1(X0),X5,X6)) ) ) ) )
& ( ? [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
& ? [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
& ? [X3] :
( m1_subset_1(X3,u1_struct_0(X0))
& k1_binop_1(u1_rlvect_1(X0),k1_binop_1(u1_rlvect_1(X0),X1,X2),X3) != k1_binop_1(u1_rlvect_1(X0),X1,k1_binop_1(u1_rlvect_1(X0),X2,X3)) ) ) )
| v4_rlvect_1(X0) ) ) ),
inference(rectify,[],[f9858]) ).
fof(f9860,plain,
! [X0] :
( ~ l1_rlvect_1(X0)
| v3_struct_0(X0)
| ( ( ~ v4_rlvect_1(X0)
| ! [X4] :
( ~ m1_subset_1(X4,u1_struct_0(X0))
| ! [X5] :
( ~ m1_subset_1(X5,u1_struct_0(X0))
| ! [X6] :
( ~ m1_subset_1(X6,u1_struct_0(X0))
| k1_binop_1(u1_rlvect_1(X0),k1_binop_1(u1_rlvect_1(X0),X4,X5),X6) = k1_binop_1(u1_rlvect_1(X0),X4,k1_binop_1(u1_rlvect_1(X0),X5,X6)) ) ) ) )
& ( ( m1_subset_1(sK372(X0),u1_struct_0(X0))
& m1_subset_1(sK373(X0),u1_struct_0(X0))
& m1_subset_1(sK374(X0),u1_struct_0(X0))
& k1_binop_1(u1_rlvect_1(X0),k1_binop_1(u1_rlvect_1(X0),sK372(X0),sK373(X0)),sK374(X0)) != k1_binop_1(u1_rlvect_1(X0),sK372(X0),k1_binop_1(u1_rlvect_1(X0),sK373(X0),sK374(X0))) )
| v4_rlvect_1(X0) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK372,sK373,sK374]),skolemize(X1,sK372(X0)),skolemize(X2,sK373(X0)),skolemize(X3,sK374(X0))],[f9859]) ).
fof(f9861,plain,
! [X0,X1] :
( ~ m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| ( ( ~ v2_binop_1(X1,X0)
| ! [X2] :
( ~ m1_subset_1(X2,X0)
| ! [X3] :
( ~ m1_subset_1(X3,X0)
| ! [X4] :
( ~ m1_subset_1(X4,X0)
| k1_binop_1(X1,X2,k1_binop_1(X1,X3,X4)) = k1_binop_1(X1,k1_binop_1(X1,X2,X3),X4) ) ) ) )
& ( ? [X2] :
( m1_subset_1(X2,X0)
& ? [X3] :
( m1_subset_1(X3,X0)
& ? [X4] :
( m1_subset_1(X4,X0)
& k1_binop_1(X1,X2,k1_binop_1(X1,X3,X4)) != k1_binop_1(X1,k1_binop_1(X1,X2,X3),X4) ) ) )
| v2_binop_1(X1,X0) ) ) ),
inference(nnf_transformation,[],[f8199]) ).
fof(f9862,plain,
! [X0,X1] :
( ~ m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| ( ( ~ v2_binop_1(X1,X0)
| ! [X5] :
( ~ m1_subset_1(X5,X0)
| ! [X6] :
( ~ m1_subset_1(X6,X0)
| ! [X7] :
( ~ m1_subset_1(X7,X0)
| k1_binop_1(X1,X5,k1_binop_1(X1,X6,X7)) = k1_binop_1(X1,k1_binop_1(X1,X5,X6),X7) ) ) ) )
& ( ? [X2] :
( m1_subset_1(X2,X0)
& ? [X3] :
( m1_subset_1(X3,X0)
& ? [X4] :
( m1_subset_1(X4,X0)
& k1_binop_1(X1,X2,k1_binop_1(X1,X3,X4)) != k1_binop_1(X1,k1_binop_1(X1,X2,X3),X4) ) ) )
| v2_binop_1(X1,X0) ) ) ),
inference(rectify,[],[f9861]) ).
fof(f9863,plain,
! [X0,X1] :
( ~ m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| ( ( ~ v2_binop_1(X1,X0)
| ! [X5] :
( ~ m1_subset_1(X5,X0)
| ! [X6] :
( ~ m1_subset_1(X6,X0)
| ! [X7] :
( ~ m1_subset_1(X7,X0)
| k1_binop_1(X1,X5,k1_binop_1(X1,X6,X7)) = k1_binop_1(X1,k1_binop_1(X1,X5,X6),X7) ) ) ) )
& ( ( m1_subset_1(sK375(X0,X1),X0)
& m1_subset_1(sK376(X0,X1),X0)
& m1_subset_1(sK377(X0,X1),X0)
& k1_binop_1(X1,sK375(X0,X1),k1_binop_1(X1,sK376(X0,X1),sK377(X0,X1))) != k1_binop_1(X1,k1_binop_1(X1,sK375(X0,X1),sK376(X0,X1)),sK377(X0,X1)) )
| v2_binop_1(X1,X0) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK375,sK376,sK377]),skolemize(X2,sK375(X0,X1)),skolemize(X3,sK376(X0,X1)),skolemize(X4,sK377(X0,X1))],[f9862]) ).
fof(f9864,plain,
! [X0,X1] :
( ~ m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| ( ( ~ v1_binop_1(X1,X0)
| ! [X2] :
( ~ m1_subset_1(X2,X0)
| ! [X3] :
( ~ m1_subset_1(X3,X0)
| k1_binop_1(X1,X2,X3) = k1_binop_1(X1,X3,X2) ) ) )
& ( ? [X2] :
( m1_subset_1(X2,X0)
& ? [X3] :
( m1_subset_1(X3,X0)
& k1_binop_1(X1,X2,X3) != k1_binop_1(X1,X3,X2) ) )
| v1_binop_1(X1,X0) ) ) ),
inference(nnf_transformation,[],[f8201]) ).
fof(f9865,plain,
! [X0,X1] :
( ~ m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| ( ( ~ v1_binop_1(X1,X0)
| ! [X4] :
( ~ m1_subset_1(X4,X0)
| ! [X5] :
( ~ m1_subset_1(X5,X0)
| k1_binop_1(X1,X4,X5) = k1_binop_1(X1,X5,X4) ) ) )
& ( ? [X2] :
( m1_subset_1(X2,X0)
& ? [X3] :
( m1_subset_1(X3,X0)
& k1_binop_1(X1,X2,X3) != k1_binop_1(X1,X3,X2) ) )
| v1_binop_1(X1,X0) ) ) ),
inference(rectify,[],[f9864]) ).
fof(f9866,plain,
! [X0,X1] :
( ~ m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| ( ( ~ v1_binop_1(X1,X0)
| ! [X4] :
( ~ m1_subset_1(X4,X0)
| ! [X5] :
( ~ m1_subset_1(X5,X0)
| k1_binop_1(X1,X4,X5) = k1_binop_1(X1,X5,X4) ) ) )
& ( ( m1_subset_1(sK378(X0,X1),X0)
& m1_subset_1(sK379(X0,X1),X0)
& k1_binop_1(X1,sK378(X0,X1),sK379(X0,X1)) != k1_binop_1(X1,sK379(X0,X1),sK378(X0,X1)) )
| v1_binop_1(X1,X0) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK378,sK379]),skolemize(X2,sK378(X0,X1)),skolemize(X3,sK379(X0,X1))],[f9865]) ).
fof(f9867,plain,
! [X0,X1,X2] :
( ~ m2_relset_1(X2,X0,X0)
| ~ v1_partfun1(X2,X0,X0)
| ~ v8_relat_2(X2)
| ~ v3_relat_2(X2)
| ! [X3] :
( ~ r2_hidden(X3,X0)
| ( ( ~ r2_hidden(k4_tarski(X3,X1),X2)
| k6_eqrel_1(X0,X2,X3) = k6_eqrel_1(X0,X2,X1) )
& ( k6_eqrel_1(X0,X2,X3) != k6_eqrel_1(X0,X2,X1)
| r2_hidden(k4_tarski(X3,X1),X2) ) ) ) ),
inference(nnf_transformation,[],[f8207]) ).
fof(f9868,plain,
! [X0,X1,X2] :
( ~ m2_relset_1(X2,X0,X0)
| ~ v1_partfun1(X2,X0,X0)
| ~ v8_relat_2(X2)
| ~ v3_relat_2(X2)
| ! [X3] :
( ~ r2_hidden(X3,X0)
| ( ( ~ r2_hidden(X1,k6_eqrel_1(X0,X2,X3))
| k6_eqrel_1(X0,X2,X3) = k6_eqrel_1(X0,X2,X1) )
& ( k6_eqrel_1(X0,X2,X3) != k6_eqrel_1(X0,X2,X1)
| r2_hidden(X1,k6_eqrel_1(X0,X2,X3)) ) ) ) ),
inference(nnf_transformation,[],[f8212]) ).
fof(f9869,plain,
! [X0,X1] :
( ~ m2_relset_1(X1,X0,X0)
| ~ v1_partfun1(X1,X0,X0)
| ~ v3_relat_2(X1)
| ~ v1_relat_2(X1)
| ! [X2] :
( r2_hidden(X2,k6_eqrel_1(X0,X1,sK380(X0,X1,X2)))
| ~ r2_hidden(X2,X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK380]),skolemize(X3,sK380(X0,X1,X2))],[f8216]) ).
fof(f9870,plain,
! [X0,X1,X2,X3] :
( ~ m2_relset_1(X3,X0,X0)
| ~ v1_partfun1(X3,X0,X0)
| ~ v3_relat_2(X3)
| ~ v1_relat_2(X3)
| ( ( ~ r2_hidden(X1,k6_eqrel_1(X0,X3,X2))
| r2_hidden(k4_tarski(X1,X2),X3) )
& ( ~ r2_hidden(k4_tarski(X1,X2),X3)
| r2_hidden(X1,k6_eqrel_1(X0,X3,X2)) ) ) ),
inference(nnf_transformation,[],[f8220]) ).
fof(f9871,plain,
! [X0] :
( ( ! [X2,X3,X4,X5,X6] :
( ~ r2_hidden(X6,sK381(X0))
| ~ r2_hidden(X5,X6)
| ~ r2_hidden(X4,X5)
| ~ r2_hidden(X3,X4)
| ~ r2_hidden(X2,X3)
| r1_xboole_0(X2,X0) )
& r2_hidden(sK381(X0),X0) )
| k1_xboole_0 = X0 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK381]),skolemize(X1,sK381(X0))],[f8222]) ).
fof(f9872,plain,
! [X0] :
( ( ! [X2,X3,X4,X5] :
( ~ r2_hidden(X5,sK382(X0))
| ~ r2_hidden(X4,X5)
| ~ r2_hidden(X3,X4)
| ~ r2_hidden(X2,X3)
| r1_xboole_0(X2,X0) )
& r2_hidden(sK382(X0),X0) )
| k1_xboole_0 = X0 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK382]),skolemize(X1,sK382(X0))],[f8224]) ).
fof(f9873,plain,
! [X0] :
( ( ! [X2,X3,X4] :
( ~ r2_hidden(X4,sK383(X0))
| ~ r2_hidden(X3,X4)
| ~ r2_hidden(X2,X3)
| r1_xboole_0(X2,X0) )
& r2_hidden(sK383(X0),X0) )
| k1_xboole_0 = X0 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK383]),skolemize(X1,sK383(X0))],[f8226]) ).
fof(f9874,plain,
! [X0] :
( ( ! [X2,X3] :
( ~ r2_hidden(X3,sK384(X0))
| ~ r2_hidden(X2,X3)
| r1_xboole_0(X2,X0) )
& r2_hidden(sK384(X0),X0) )
| k1_xboole_0 = X0 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK384]),skolemize(X1,sK384(X0))],[f8228]) ).
fof(f9875,plain,
! [X0] :
( ( ! [X2] :
( ~ r2_hidden(X2,sK385(X0))
| r1_xboole_0(X2,X0) )
& r2_hidden(sK385(X0),X0) )
| k1_xboole_0 = X0 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK385]),skolemize(X1,sK385(X0))],[f8229]) ).
fof(f9876,plain,
! [X0] :
( ( r1_xboole_0(sK386(X0),X0)
& r2_hidden(sK386(X0),X0) )
| k1_xboole_0 = X0 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK386]),skolemize(X1,sK386(X0))],[f8230]) ).
fof(f9877,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| ( ( k1_xboole_0 != k10_relat_1(X1,X0)
| r1_xboole_0(k2_relat_1(X1),X0) )
& ( ~ r1_xboole_0(k2_relat_1(X1),X0)
| k10_relat_1(X1,X0) = k1_xboole_0 ) ) ),
inference(nnf_transformation,[],[f8233]) ).
fof(f9878,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| ( ( k1_xboole_0 != k9_relat_1(X1,X0)
| r1_xboole_0(k1_relat_1(X1),X0) )
& ( ~ r1_xboole_0(k1_relat_1(X1),X0)
| k9_relat_1(X1,X0) = k1_xboole_0 ) ) ),
inference(nnf_transformation,[],[f8234]) ).
fof(f9879,plain,
! [X0,X1,X2] :
( ( r2_hidden(sK387(X1,X2),X1)
& ~ r1_xboole_0(sK387(X1,X2),X2) )
| ~ r1_tarski(X2,k3_tarski(k2_xboole_0(X0,X1)))
| r1_tarski(X2,k3_tarski(X0)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK387]),skolemize(X3,sK387(X1,X2))],[f8236]) ).
fof(f9880,plain,
! [X0,X1] :
( ( r2_hidden(sK389(X0,X1),k2_xboole_0(X0,X1))
& r2_hidden(sK388(X0,X1),k2_xboole_0(X0,X1))
& ~ r1_xboole_0(sK388(X0,X1),sK389(X0,X1))
& sK388(X0,X1) != sK389(X0,X1) )
| k3_tarski(k3_xboole_0(X0,X1)) = k3_xboole_0(k3_tarski(X0),k3_tarski(X1)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK388,sK389]),skolemize(X2,sK388(X0,X1)),skolemize(X3,sK389(X0,X1))],[f8240]) ).
fof(f9881,plain,
! [X0,X1] :
( ( r2_hidden(sK390(X0,X1),X0)
& ~ r1_xboole_0(sK390(X0,X1),X1) )
| r1_xboole_0(k3_tarski(X0),X1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK390]),skolemize(X2,sK390(X0,X1))],[f8241]) ).
fof(f9882,plain,
! [X0,X1] :
( ( ~ r1_xboole_0(X0,X1)
| k4_xboole_0(X0,X1) = X0 )
& ( k4_xboole_0(X0,X1) != X0
| r1_xboole_0(X0,X1) ) ),
inference(nnf_transformation,[],[f152]) ).
fof(f9883,plain,
! [X0,X1] :
( ( ~ r1_xboole_0(X0,X1)
| ! [X3] : ~ r2_hidden(X3,k3_xboole_0(X0,X1)) )
& ( r2_hidden(sK391(X0,X1),k3_xboole_0(X0,X1))
| r1_xboole_0(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK391]),skolemize(X2,sK391(X0,X1))],[f8284]) ).
fof(f9884,plain,
! [X0,X1] :
( ( ~ r1_xboole_0(X0,X1)
| ! [X3] :
( ~ r2_hidden(X3,X1)
| ~ r2_hidden(X3,X0) ) )
& ( ( r2_hidden(sK392(X0,X1),X1)
& r2_hidden(sK392(X0,X1),X0) )
| r1_xboole_0(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK392]),skolemize(X2,sK392(X0,X1))],[f8285]) ).
fof(f9885,plain,
! [X0,X1] :
( ( ~ r1_xboole_0(X0,X1)
| k3_xboole_0(X0,X1) = k1_xboole_0 )
& ( k1_xboole_0 != k3_xboole_0(X0,X1)
| r1_xboole_0(X0,X1) ) ),
inference(nnf_transformation,[],[f35]) ).
fof(f9886,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ! [X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ( ( ~ v4_pre_topc(X1,X0)
| k2_tops_1(X0,X1) = k6_subset_1(u1_struct_0(X0),X1,k1_tops_1(X0,X1)) )
& ( k2_tops_1(X0,X1) != k6_subset_1(u1_struct_0(X0),X1,k1_tops_1(X0,X1))
| v4_pre_topc(X1,X0) ) ) ) ),
inference(nnf_transformation,[],[f8289]) ).
fof(f9887,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ! [X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ( ( ~ v3_pre_topc(X1,X0)
| k2_tops_1(X0,X1) = k6_subset_1(u1_struct_0(X0),k6_pre_topc(X0,X1),X1) )
& ( k2_tops_1(X0,X1) != k6_subset_1(u1_struct_0(X0),k6_pre_topc(X0,X1),X1)
| v3_pre_topc(X1,X0) ) ) ) ),
inference(nnf_transformation,[],[f8291]) ).
fof(f9888,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| ( ( ~ r2_hidden(X2,k2_tops_1(X0,X1))
| ! [X3] :
( ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0)))
| ~ r2_hidden(X2,X3)
| ~ v3_pre_topc(X3,X0)
| ( ~ r1_xboole_0(k3_subset_1(u1_struct_0(X0),X1),X3)
& ~ r1_xboole_0(X1,X3) ) ) )
& ( ? [X3] :
( m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0)))
& r2_hidden(X2,X3)
& v3_pre_topc(X3,X0)
& ( r1_xboole_0(k3_subset_1(u1_struct_0(X0),X1),X3)
| r1_xboole_0(X1,X3) ) )
| r2_hidden(X2,k2_tops_1(X0,X1)) ) ) ) ) ),
inference(nnf_transformation,[],[f8300]) ).
fof(f9889,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| ( ( ~ r2_hidden(X2,k2_tops_1(X0,X1))
| ! [X4] :
( ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X0)))
| ~ r2_hidden(X2,X4)
| ~ v3_pre_topc(X4,X0)
| ( ~ r1_xboole_0(k3_subset_1(u1_struct_0(X0),X1),X4)
& ~ r1_xboole_0(X1,X4) ) ) )
& ( ? [X3] :
( m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0)))
& r2_hidden(X2,X3)
& v3_pre_topc(X3,X0)
& ( r1_xboole_0(k3_subset_1(u1_struct_0(X0),X1),X3)
| r1_xboole_0(X1,X3) ) )
| r2_hidden(X2,k2_tops_1(X0,X1)) ) ) ) ) ),
inference(rectify,[],[f9888]) ).
fof(f9890,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| ( ( ~ r2_hidden(X2,k2_tops_1(X0,X1))
| ! [X4] :
( ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X0)))
| ~ r2_hidden(X2,X4)
| ~ v3_pre_topc(X4,X0)
| ( ~ r1_xboole_0(k3_subset_1(u1_struct_0(X0),X1),X4)
& ~ r1_xboole_0(X1,X4) ) ) )
& ( ( m1_subset_1(sK393(X0,X1,X2),k1_zfmisc_1(u1_struct_0(X0)))
& r2_hidden(X2,sK393(X0,X1,X2))
& v3_pre_topc(sK393(X0,X1,X2),X0)
& ( r1_xboole_0(k3_subset_1(u1_struct_0(X0),X1),sK393(X0,X1,X2))
| r1_xboole_0(X1,sK393(X0,X1,X2)) ) )
| r2_hidden(X2,k2_tops_1(X0,X1)) ) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK393]),skolemize(X3,sK393(X0,X1,X2))],[f9889]) ).
fof(f9891,plain,
! [X0] :
( ( ? [X1] :
( r2_hidden(X1,X0)
& ~ v1_finset_1(X1) )
| ~ v1_finset_1(X0)
| v1_finset_1(k3_tarski(X0)) )
& ( ~ v1_finset_1(k3_tarski(X0))
| ( ! [X1] :
( ~ r2_hidden(X1,X0)
| v1_finset_1(X1) )
& v1_finset_1(X0) ) ) ),
inference(nnf_transformation,[],[f8302]) ).
fof(f9892,plain,
! [X0] :
( ( ? [X1] :
( r2_hidden(X1,X0)
& ~ v1_finset_1(X1) )
| ~ v1_finset_1(X0)
| v1_finset_1(k3_tarski(X0)) )
& ( ~ v1_finset_1(k3_tarski(X0))
| ( ! [X1] :
( ~ r2_hidden(X1,X0)
| v1_finset_1(X1) )
& v1_finset_1(X0) ) ) ),
inference(flattening,[],[f9891]) ).
fof(f9893,plain,
! [X0] :
( ( ? [X2] :
( r2_hidden(X2,X0)
& ~ v1_finset_1(X2) )
| ~ v1_finset_1(X0)
| v1_finset_1(k3_tarski(X0)) )
& ( ~ v1_finset_1(k3_tarski(X0))
| ( ! [X1] :
( ~ r2_hidden(X1,X0)
| v1_finset_1(X1) )
& v1_finset_1(X0) ) ) ),
inference(rectify,[],[f9892]) ).
fof(f9894,plain,
! [X0] :
( ( ( r2_hidden(sK394(X0),X0)
& ~ v1_finset_1(sK394(X0)) )
| ~ v1_finset_1(X0)
| v1_finset_1(k3_tarski(X0)) )
& ( ~ v1_finset_1(k3_tarski(X0))
| ( ! [X1] :
( ~ r2_hidden(X1,X0)
| v1_finset_1(X1) )
& v1_finset_1(X0) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK394]),skolemize(X2,sK394(X0))],[f9893]) ).
fof(f9895,plain,
! [X0] :
( ( r2_hidden(sK395(X0),X0)
& ~ v3_ordinal1(sK395(X0)) )
| v3_ordinal1(k3_tarski(X0)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK395]),skolemize(X1,sK395(X0))],[f8304]) ).
fof(f9896,plain,
! [X0,X1] :
( ( r2_hidden(sK396(X0,X1),X0)
& ~ r1_tarski(sK396(X0,X1),X1) )
| r1_tarski(k3_tarski(X0),X1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK396]),skolemize(X2,sK396(X0,X1))],[f8309]) ).
fof(f9897,plain,
! [X0,X1] :
( ( k3_tarski(X0) != X1
| ! [X2] :
( ( ~ r2_hidden(X2,X1)
| ? [X3] :
( r2_hidden(X3,X0)
& r2_hidden(X2,X3) ) )
& ( ! [X3] :
( ~ r2_hidden(X3,X0)
| ~ r2_hidden(X2,X3) )
| r2_hidden(X2,X1) ) ) )
& ( ? [X2] :
( ( r2_hidden(X2,X1)
| ? [X3] :
( r2_hidden(X3,X0)
& r2_hidden(X2,X3) ) )
& ( ~ r2_hidden(X2,X1)
| ! [X3] :
( ~ r2_hidden(X3,X0)
| ~ r2_hidden(X2,X3) ) ) )
| X1 = k3_tarski(X0) ) ),
inference(nnf_transformation,[],[f9]) ).
fof(f9898,plain,
! [X0,X1] :
( ( k3_tarski(X0) != X1
| ! [X5] :
( ( ~ r2_hidden(X5,X1)
| ? [X7] :
( r2_hidden(X7,X0)
& r2_hidden(X5,X7) ) )
& ( ! [X6] :
( ~ r2_hidden(X6,X0)
| ~ r2_hidden(X5,X6) )
| r2_hidden(X5,X1) ) ) )
& ( ? [X2] :
( ( r2_hidden(X2,X1)
| ? [X4] :
( r2_hidden(X4,X0)
& r2_hidden(X2,X4) ) )
& ( ~ r2_hidden(X2,X1)
| ! [X3] :
( ~ r2_hidden(X3,X0)
| ~ r2_hidden(X2,X3) ) ) )
| X1 = k3_tarski(X0) ) ),
inference(rectify,[],[f9897]) ).
fof(f9899,plain,
! [X0,X1] :
( ( k3_tarski(X0) != X1
| ! [X5] :
( ( ~ r2_hidden(X5,X1)
| ( r2_hidden(sK399(X0,X5),X0)
& r2_hidden(X5,sK399(X0,X5)) ) )
& ( ! [X6] :
( ~ r2_hidden(X6,X0)
| ~ r2_hidden(X5,X6) )
| r2_hidden(X5,X1) ) ) )
& ( ( ( r2_hidden(sK397(X0,X1),X1)
| ( r2_hidden(sK398(X0,X1),X0)
& r2_hidden(sK397(X0,X1),sK398(X0,X1)) ) )
& ( ~ r2_hidden(sK397(X0,X1),X1)
| ! [X3] :
( ~ r2_hidden(X3,X0)
| ~ r2_hidden(sK397(X0,X1),X3) ) ) )
| X1 = k3_tarski(X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK397,sK398,sK399]),skolemize(X2,sK397(X0,X1)),skolemize(X4,sK398(X0,X1)),skolemize(X7,sK399(X0,X5))],[f9898]) ).
fof(f9900,plain,
! [X0] :
( ( r2_hidden(sK400(X0),X0)
& ~ v3_ordinal1(sK400(X0)) )
| v3_ordinal1(k1_setfam_1(X0)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK400]),skolemize(X1,sK400(X0))],[f8321]) ).
fof(f9901,plain,
! [X0,X1] :
( ( r2_hidden(sK401(X0,X1),X0)
& ~ r1_tarski(X1,sK401(X0,X1)) )
| r1_tarski(X1,k1_setfam_1(X0))
| X0 = k1_xboole_0 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK401]),skolemize(X2,sK401(X0,X1))],[f8330]) ).
fof(f9902,plain,
! [X0,X1] :
( ( k1_xboole_0 != X0
| ( ( k1_setfam_1(X0) != X1
| X1 = k1_xboole_0 )
& ( k1_xboole_0 != X1
| X1 = k1_setfam_1(X0) ) ) )
& ( k1_xboole_0 = X0
| ( ( k1_setfam_1(X0) != X1
| ! [X2] :
( ( ~ r2_hidden(X2,X1)
| ! [X3] :
( ~ r2_hidden(X3,X0)
| r2_hidden(X2,X3) ) )
& ( ? [X3] :
( r2_hidden(X3,X0)
& ~ r2_hidden(X2,X3) )
| r2_hidden(X2,X1) ) ) )
& ( ? [X2] :
( ( r2_hidden(X2,X1)
| ! [X3] :
( ~ r2_hidden(X3,X0)
| r2_hidden(X2,X3) ) )
& ( ~ r2_hidden(X2,X1)
| ? [X3] :
( r2_hidden(X3,X0)
& ~ r2_hidden(X2,X3) ) ) )
| X1 = k1_setfam_1(X0) ) ) ) ),
inference(nnf_transformation,[],[f8333]) ).
fof(f9903,plain,
! [X0,X1] :
( ( k1_xboole_0 != X0
| ( ( k1_setfam_1(X0) != X1
| X1 = k1_xboole_0 )
& ( k1_xboole_0 != X1
| X1 = k1_setfam_1(X0) ) ) )
& ( k1_xboole_0 = X0
| ( ( k1_setfam_1(X0) != X1
| ! [X5] :
( ( ~ r2_hidden(X5,X1)
| ! [X7] :
( ~ r2_hidden(X7,X0)
| r2_hidden(X5,X7) ) )
& ( ? [X6] :
( r2_hidden(X6,X0)
& ~ r2_hidden(X5,X6) )
| r2_hidden(X5,X1) ) ) )
& ( ? [X2] :
( ( r2_hidden(X2,X1)
| ! [X4] :
( ~ r2_hidden(X4,X0)
| r2_hidden(X2,X4) ) )
& ( ~ r2_hidden(X2,X1)
| ? [X3] :
( r2_hidden(X3,X0)
& ~ r2_hidden(X2,X3) ) ) )
| X1 = k1_setfam_1(X0) ) ) ) ),
inference(rectify,[],[f9902]) ).
fof(f9904,plain,
! [X0,X1] :
( ( k1_xboole_0 != X0
| ( ( k1_setfam_1(X0) != X1
| X1 = k1_xboole_0 )
& ( k1_xboole_0 != X1
| X1 = k1_setfam_1(X0) ) ) )
& ( k1_xboole_0 = X0
| ( ( k1_setfam_1(X0) != X1
| ! [X5] :
( ( ~ r2_hidden(X5,X1)
| ! [X7] :
( ~ r2_hidden(X7,X0)
| r2_hidden(X5,X7) ) )
& ( ( r2_hidden(sK404(X0,X5),X0)
& ~ r2_hidden(X5,sK404(X0,X5)) )
| r2_hidden(X5,X1) ) ) )
& ( ( ( r2_hidden(sK402(X0,X1),X1)
| ! [X4] :
( ~ r2_hidden(X4,X0)
| r2_hidden(sK402(X0,X1),X4) ) )
& ( ~ r2_hidden(sK402(X0,X1),X1)
| ( r2_hidden(sK403(X0,X1),X0)
& ~ r2_hidden(sK402(X0,X1),sK403(X0,X1)) ) ) )
| X1 = k1_setfam_1(X0) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK402,sK403,sK404]),skolemize(X2,sK402(X0,X1)),skolemize(X3,sK403(X0,X1)),skolemize(X6,sK404(X0,X5))],[f9903]) ).
fof(f9905,plain,
! [X0] :
( ~ v4_ordinal2(X0)
| ! [X1] :
( v1_xboole_0(X1)
| ( k3_finseq_1(sK405(X0,X1)) = X0
& m2_finseq_1(sK405(X0,X1),X1) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK405]),skolemize(X2,sK405(X0,X1))],[f8339]) ).
fof(f9906,plain,
! [X0] :
( ~ v4_ordinal2(X0)
| ! [X1] :
( ~ v4_ordinal2(X1)
| ( ( ~ r1_xreal_0(X0,X1)
| r1_tarski(k2_finseq_1(X0),k2_finseq_1(X1)) )
& ( ~ r1_tarski(k2_finseq_1(X0),k2_finseq_1(X1))
| r1_xreal_0(X0,X1) ) ) ) ),
inference(nnf_transformation,[],[f8347]) ).
fof(f9907,plain,
! [X0] :
( ~ v4_ordinal2(X0)
| ! [X1] :
( ~ v4_ordinal2(X1)
| ( ( ~ r2_hidden(X0,k2_finseq_1(X1))
| ( r1_xreal_0(X0,X1)
& r1_xreal_0(np__1,X0) ) )
& ( ~ r1_xreal_0(X0,X1)
| ~ r1_xreal_0(np__1,X0)
| r2_hidden(X0,k2_finseq_1(X1)) ) ) ) ),
inference(nnf_transformation,[],[f8351]) ).
fof(f9908,plain,
! [X0] :
( ~ v4_ordinal2(X0)
| ! [X1] :
( ~ v4_ordinal2(X1)
| ( ( ~ r2_hidden(X0,k2_finseq_1(X1))
| ( r1_xreal_0(X0,X1)
& r1_xreal_0(np__1,X0) ) )
& ( ~ r1_xreal_0(X0,X1)
| ~ r1_xreal_0(np__1,X0)
| r2_hidden(X0,k2_finseq_1(X1)) ) ) ) ),
inference(flattening,[],[f9907]) ).
fof(f9909,plain,
! [X0] :
( v1_xboole_0(X0)
| ( m1_subset_1(sK406(X0),X0)
& m1_subset_1(sK407(X0),X0)
& ( ~ r2_hidden(k2_xboole_0(sK406(X0),sK407(X0)),X0)
| ~ r2_hidden(k5_xboole_0(sK406(X0),sK407(X0)),X0) ) )
| v4_finsub_1(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK406,sK407]),skolemize(X1,sK406(X0)),skolemize(X2,sK407(X0))],[f8361]) ).
fof(f9910,plain,
! [X0] :
( v1_xboole_0(X0)
| ( m1_subset_1(sK408(X0),X0)
& m1_subset_1(sK409(X0),X0)
& ( ~ r2_hidden(k3_xboole_0(sK408(X0),sK409(X0)),X0)
| ~ r2_hidden(k5_xboole_0(sK408(X0),sK409(X0)),X0) ) )
| v4_finsub_1(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK408,sK409]),skolemize(X1,sK408(X0)),skolemize(X2,sK409(X0))],[f8363]) ).
fof(f9911,plain,
! [X0] :
( v1_xboole_0(X0)
| ( m1_subset_1(sK410(X0),X0)
& m1_subset_1(sK411(X0),X0)
& ( ~ r2_hidden(k4_xboole_0(sK410(X0),sK411(X0)),X0)
| ~ r2_hidden(k5_xboole_0(sK410(X0),sK411(X0)),X0) ) )
| v4_finsub_1(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK410,sK411]),skolemize(X1,sK410(X0)),skolemize(X2,sK411(X0))],[f8365]) ).
fof(f9912,plain,
! [X0,X1,X2] :
( ( ~ r1_tarski(X0,k5_xboole_0(X1,X2))
| ( r1_xboole_0(X0,k3_xboole_0(X1,X2))
& r1_tarski(X0,k2_xboole_0(X1,X2)) ) )
& ( ~ r1_xboole_0(X0,k3_xboole_0(X1,X2))
| ~ r1_tarski(X0,k2_xboole_0(X1,X2))
| r1_tarski(X0,k5_xboole_0(X1,X2)) ) ),
inference(nnf_transformation,[],[f176]) ).
fof(f9913,plain,
! [X0,X1,X2] :
( ( ~ r1_tarski(X0,k5_xboole_0(X1,X2))
| ( r1_xboole_0(X0,k3_xboole_0(X1,X2))
& r1_tarski(X0,k2_xboole_0(X1,X2)) ) )
& ( ~ r1_xboole_0(X0,k3_xboole_0(X1,X2))
| ~ r1_tarski(X0,k2_xboole_0(X1,X2))
| r1_tarski(X0,k5_xboole_0(X1,X2)) ) ),
inference(flattening,[],[f9912]) ).
fof(f9914,plain,
! [X0,X1,X2] :
( ? [X3] :
( ( ~ r2_hidden(X3,X0)
| ( ( ~ r2_hidden(X3,X1)
| r2_hidden(X3,X2) )
& ( ~ r2_hidden(X3,X2)
| r2_hidden(X3,X1) ) ) )
& ( r2_hidden(X3,X0)
| ( ( r2_hidden(X3,X1)
| r2_hidden(X3,X2) )
& ( ~ r2_hidden(X3,X1)
| ~ r2_hidden(X3,X2) ) ) ) )
| X0 = k5_xboole_0(X1,X2) ),
inference(nnf_transformation,[],[f8377]) ).
fof(f9915,plain,
! [X0,X1,X2] :
( ( ( ~ r2_hidden(sK412(X0,X1,X2),X0)
| ( ( ~ r2_hidden(sK412(X0,X1,X2),X1)
| r2_hidden(sK412(X0,X1,X2),X2) )
& ( ~ r2_hidden(sK412(X0,X1,X2),X2)
| r2_hidden(sK412(X0,X1,X2),X1) ) ) )
& ( r2_hidden(sK412(X0,X1,X2),X0)
| ( ( r2_hidden(sK412(X0,X1,X2),X1)
| r2_hidden(sK412(X0,X1,X2),X2) )
& ( ~ r2_hidden(sK412(X0,X1,X2),X1)
| ~ r2_hidden(sK412(X0,X1,X2),X2) ) ) ) )
| X0 = k5_xboole_0(X1,X2) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK412]),skolemize(X3,sK412(X0,X1,X2))],[f9914]) ).
fof(f9916,plain,
! [X0,X1,X2] :
( ( ~ r2_hidden(X0,k5_xboole_0(X1,X2))
| ( ( r2_hidden(X0,X1)
| r2_hidden(X0,X2) )
& ( ~ r2_hidden(X0,X1)
| ~ r2_hidden(X0,X2) ) ) )
& ( ( ( ~ r2_hidden(X0,X1)
| r2_hidden(X0,X2) )
& ( ~ r2_hidden(X0,X2)
| r2_hidden(X0,X1) ) )
| r2_hidden(X0,k5_xboole_0(X1,X2)) ) ),
inference(nnf_transformation,[],[f8378]) ).
fof(f9917,plain,
! [X0,X1,X2,X3] :
( ( k1_enumset1(X0,X1,X2) != X3
| ! [X4] :
( ( ~ r2_hidden(X4,X3)
| X2 = X4
| X1 = X4
| X0 = X4 )
& ( ( X2 != X4
& X1 != X4
& X0 != X4 )
| r2_hidden(X4,X3) ) ) )
& ( ? [X4] :
( ( r2_hidden(X4,X3)
| X2 = X4
| X1 = X4
| X0 = X4 )
& ( ~ r2_hidden(X4,X3)
| ( X2 != X4
& X1 != X4
& X0 != X4 ) ) )
| X3 = k1_enumset1(X0,X1,X2) ) ),
inference(nnf_transformation,[],[f8386]) ).
fof(f9918,plain,
! [X0,X1,X2,X3] :
( ( k1_enumset1(X0,X1,X2) != X3
| ! [X4] :
( ( ~ r2_hidden(X4,X3)
| X2 = X4
| X1 = X4
| X0 = X4 )
& ( ( X2 != X4
& X1 != X4
& X0 != X4 )
| r2_hidden(X4,X3) ) ) )
& ( ? [X4] :
( ( r2_hidden(X4,X3)
| X2 = X4
| X1 = X4
| X0 = X4 )
& ( ~ r2_hidden(X4,X3)
| ( X2 != X4
& X1 != X4
& X0 != X4 ) ) )
| X3 = k1_enumset1(X0,X1,X2) ) ),
inference(flattening,[],[f9917]) ).
fof(f9919,plain,
! [X0,X1,X2,X3] :
( ( k1_enumset1(X0,X1,X2) != X3
| ! [X5] :
( ( ~ r2_hidden(X5,X3)
| X2 = X5
| X1 = X5
| X0 = X5 )
& ( ( X2 != X5
& X1 != X5
& X0 != X5 )
| r2_hidden(X5,X3) ) ) )
& ( ? [X4] :
( ( r2_hidden(X4,X3)
| X2 = X4
| X1 = X4
| X0 = X4 )
& ( ~ r2_hidden(X4,X3)
| ( X2 != X4
& X1 != X4
& X0 != X4 ) ) )
| X3 = k1_enumset1(X0,X1,X2) ) ),
inference(rectify,[],[f9918]) ).
fof(f9920,plain,
! [X0,X1,X2,X3] :
( ( k1_enumset1(X0,X1,X2) != X3
| ! [X5] :
( ( ~ r2_hidden(X5,X3)
| X2 = X5
| X1 = X5
| X0 = X5 )
& ( ( X2 != X5
& X1 != X5
& X0 != X5 )
| r2_hidden(X5,X3) ) ) )
& ( ( ( r2_hidden(sK413(X0,X1,X2,X3),X3)
| sK413(X0,X1,X2,X3) = X2
| sK413(X0,X1,X2,X3) = X1
| sK413(X0,X1,X2,X3) = X0 )
& ( ~ r2_hidden(sK413(X0,X1,X2,X3),X3)
| ( sK413(X0,X1,X2,X3) != X2
& sK413(X0,X1,X2,X3) != X1
& sK413(X0,X1,X2,X3) != X0 ) ) )
| X3 = k1_enumset1(X0,X1,X2) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK413]),skolemize(X4,sK413(X0,X1,X2,X3))],[f9919]) ).
fof(f9921,plain,
! [X0,X1,X2] :
( ( k1_xboole_0 != k4_xboole_0(X0,k2_tarski(X1,X2))
| k2_tarski(X1,X2) = X0
| k1_tarski(X2) = X0
| k1_tarski(X1) = X0
| k1_xboole_0 = X0 )
& ( ( k2_tarski(X1,X2) != X0
& k1_tarski(X2) != X0
& k1_tarski(X1) != X0
& k1_xboole_0 != X0 )
| k4_xboole_0(X0,k2_tarski(X1,X2)) = k1_xboole_0 ) ),
inference(nnf_transformation,[],[f8395]) ).
fof(f9922,plain,
! [X0,X1,X2] :
( ( k1_xboole_0 != k4_xboole_0(X0,k2_tarski(X1,X2))
| k2_tarski(X1,X2) = X0
| k1_tarski(X2) = X0
| k1_tarski(X1) = X0
| k1_xboole_0 = X0 )
& ( ( k2_tarski(X1,X2) != X0
& k1_tarski(X2) != X0
& k1_tarski(X1) != X0
& k1_xboole_0 != X0 )
| k4_xboole_0(X0,k2_tarski(X1,X2)) = k1_xboole_0 ) ),
inference(flattening,[],[f9921]) ).
fof(f9923,plain,
! [X0,X1,X2] :
( ( k1_xboole_0 != k4_xboole_0(k2_tarski(X0,X1),X2)
| ( r2_hidden(X1,X2)
& r2_hidden(X0,X2) ) )
& ( ~ r2_hidden(X1,X2)
| ~ r2_hidden(X0,X2)
| k4_xboole_0(k2_tarski(X0,X1),X2) = k1_xboole_0 ) ),
inference(nnf_transformation,[],[f398]) ).
fof(f9924,plain,
! [X0,X1,X2] :
( ( k1_xboole_0 != k4_xboole_0(k2_tarski(X0,X1),X2)
| ( r2_hidden(X1,X2)
& r2_hidden(X0,X2) ) )
& ( ~ r2_hidden(X1,X2)
| ~ r2_hidden(X0,X2)
| k4_xboole_0(k2_tarski(X0,X1),X2) = k1_xboole_0 ) ),
inference(flattening,[],[f9923]) ).
fof(f9925,plain,
! [X0,X1,X2] :
( ( k2_tarski(X0,X1) != k4_xboole_0(k2_tarski(X0,X1),X2)
| ( ~ r2_hidden(X1,X2)
& ~ r2_hidden(X0,X2) ) )
& ( r2_hidden(X1,X2)
| r2_hidden(X0,X2)
| k4_xboole_0(k2_tarski(X0,X1),X2) = k2_tarski(X0,X1) ) ),
inference(nnf_transformation,[],[f397]) ).
fof(f9926,plain,
! [X0,X1,X2] :
( ( k2_tarski(X0,X1) != k4_xboole_0(k2_tarski(X0,X1),X2)
| ( ~ r2_hidden(X1,X2)
& ~ r2_hidden(X0,X2) ) )
& ( r2_hidden(X1,X2)
| r2_hidden(X0,X2)
| k4_xboole_0(k2_tarski(X0,X1),X2) = k2_tarski(X0,X1) ) ),
inference(flattening,[],[f9925]) ).
fof(f9927,plain,
! [X0,X1,X2] :
( ( k1_tarski(X0) != k4_xboole_0(k2_tarski(X0,X1),X2)
| ( ( X0 = X1
| r2_hidden(X1,X2) )
& ~ r2_hidden(X0,X2) ) )
& ( ( X0 != X1
& ~ r2_hidden(X1,X2) )
| r2_hidden(X0,X2)
| k4_xboole_0(k2_tarski(X0,X1),X2) = k1_tarski(X0) ) ),
inference(nnf_transformation,[],[f395]) ).
fof(f9928,plain,
! [X0,X1,X2] :
( ( k1_tarski(X0) != k4_xboole_0(k2_tarski(X0,X1),X2)
| ( ( X0 = X1
| r2_hidden(X1,X2) )
& ~ r2_hidden(X0,X2) ) )
& ( ( X0 != X1
& ~ r2_hidden(X1,X2) )
| r2_hidden(X0,X2)
| k4_xboole_0(k2_tarski(X0,X1),X2) = k1_tarski(X0) ) ),
inference(flattening,[],[f9927]) ).
fof(f9929,plain,
! [X0,X1,X2] :
( ( ~ r1_tarski(X0,k2_tarski(X1,X2))
| k2_tarski(X1,X2) = X0
| k1_tarski(X2) = X0
| k1_tarski(X1) = X0
| k1_xboole_0 = X0 )
& ( ( k2_tarski(X1,X2) != X0
& k1_tarski(X2) != X0
& k1_tarski(X1) != X0
& k1_xboole_0 != X0 )
| r1_tarski(X0,k2_tarski(X1,X2)) ) ),
inference(nnf_transformation,[],[f8406]) ).
fof(f9930,plain,
! [X0,X1,X2] :
( ( ~ r1_tarski(X0,k2_tarski(X1,X2))
| k2_tarski(X1,X2) = X0
| k1_tarski(X2) = X0
| k1_tarski(X1) = X0
| k1_xboole_0 = X0 )
& ( ( k2_tarski(X1,X2) != X0
& k1_tarski(X2) != X0
& k1_tarski(X1) != X0
& k1_xboole_0 != X0 )
| r1_tarski(X0,k2_tarski(X1,X2)) ) ),
inference(flattening,[],[f9929]) ).
fof(f9931,plain,
! [X0,X1,X2] :
( ( ~ r1_tarski(k2_tarski(X0,X1),X2)
| ( r2_hidden(X1,X2)
& r2_hidden(X0,X2) ) )
& ( ~ r2_hidden(X1,X2)
| ~ r2_hidden(X0,X2)
| r1_tarski(k2_tarski(X0,X1),X2) ) ),
inference(nnf_transformation,[],[f363]) ).
fof(f9932,plain,
! [X0,X1,X2] :
( ( ~ r1_tarski(k2_tarski(X0,X1),X2)
| ( r2_hidden(X1,X2)
& r2_hidden(X0,X2) ) )
& ( ~ r2_hidden(X1,X2)
| ~ r2_hidden(X0,X2)
| r1_tarski(k2_tarski(X0,X1),X2) ) ),
inference(flattening,[],[f9931]) ).
fof(f9933,plain,
! [X0,X1,X2] :
( ( k2_tarski(X0,X1) != X2
| ! [X3] :
( ( ~ r2_hidden(X3,X2)
| X3 = X1
| X3 = X0 )
& ( ( X1 != X3
& X0 != X3 )
| r2_hidden(X3,X2) ) ) )
& ( ? [X3] :
( ( r2_hidden(X3,X2)
| X3 = X1
| X3 = X0 )
& ( ~ r2_hidden(X3,X2)
| ( X1 != X3
& X0 != X3 ) ) )
| X2 = k2_tarski(X0,X1) ) ),
inference(nnf_transformation,[],[f5]) ).
fof(f9934,plain,
! [X0,X1,X2] :
( ( k2_tarski(X0,X1) != X2
| ! [X3] :
( ( ~ r2_hidden(X3,X2)
| X3 = X1
| X3 = X0 )
& ( ( X1 != X3
& X0 != X3 )
| r2_hidden(X3,X2) ) ) )
& ( ? [X3] :
( ( r2_hidden(X3,X2)
| X3 = X1
| X3 = X0 )
& ( ~ r2_hidden(X3,X2)
| ( X1 != X3
& X0 != X3 ) ) )
| X2 = k2_tarski(X0,X1) ) ),
inference(flattening,[],[f9933]) ).
fof(f9935,plain,
! [X0,X1,X2] :
( ( k2_tarski(X0,X1) != X2
| ! [X4] :
( ( ~ r2_hidden(X4,X2)
| X1 = X4
| X0 = X4 )
& ( ( X1 != X4
& X0 != X4 )
| r2_hidden(X4,X2) ) ) )
& ( ? [X3] :
( ( r2_hidden(X3,X2)
| X3 = X1
| X3 = X0 )
& ( ~ r2_hidden(X3,X2)
| ( X1 != X3
& X0 != X3 ) ) )
| X2 = k2_tarski(X0,X1) ) ),
inference(rectify,[],[f9934]) ).
fof(f9936,plain,
! [X0,X1,X2] :
( ( k2_tarski(X0,X1) != X2
| ! [X4] :
( ( ~ r2_hidden(X4,X2)
| X1 = X4
| X0 = X4 )
& ( ( X1 != X4
& X0 != X4 )
| r2_hidden(X4,X2) ) ) )
& ( ( ( r2_hidden(sK414(X0,X1,X2),X2)
| sK414(X0,X1,X2) = X1
| sK414(X0,X1,X2) = X0 )
& ( ~ r2_hidden(sK414(X0,X1,X2),X2)
| ( sK414(X0,X1,X2) != X1
& sK414(X0,X1,X2) != X0 ) ) )
| X2 = k2_tarski(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK414]),skolemize(X3,sK414(X0,X1,X2))],[f9935]) ).
fof(f9937,plain,
v1_int_1(sK415),
inference(skolemize,[status(esa),new_symbols(skolem,[sK415]),skolemize(X0,sK415)],[f2726]) ).
fof(f9938,plain,
( v1_int_1(sK416)
& v1_xreal_0(sK416)
& v1_xcmplx_0(sK416)
& m1_subset_1(sK416,k1_numbers) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK416]),skolemize(X0,sK416)],[f2725]) ).
fof(f9939,plain,
! [X0] :
( ( ~ v1_int_1(X0)
| r2_hidden(X0,k4_numbers) )
& ( ~ r2_hidden(X0,k4_numbers)
| v1_int_1(X0) ) ),
inference(nnf_transformation,[],[f2742]) ).
fof(f9940,plain,
! [X0] :
( ( ~ v1_xreal_0(X0)
| r2_hidden(X0,k1_numbers) )
& ( ~ r2_hidden(X0,k1_numbers)
| v1_xreal_0(X0) ) ),
inference(nnf_transformation,[],[f2719]) ).
fof(f9941,plain,
! [X0] :
( ~ v1_membered(X0)
| ( v1_xcmplx_0(sK417(X0))
& ~ r2_hidden(sK417(X0),X0) )
| X0 = k2_numbers ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK417]),skolemize(X1,sK417(X0))],[f8424]) ).
fof(f9942,plain,
( v1_xreal_0(sK418)
& v1_xcmplx_0(sK418) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK418]),skolemize(X0,sK418)],[f2679]) ).
fof(f9943,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ! [X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ( ( ~ v4_pre_topc(X1,X0)
| v3_pre_topc(k6_subset_1(u1_struct_0(X0),k2_pre_topc(X0),X1),X0) )
& ( ~ v3_pre_topc(k6_subset_1(u1_struct_0(X0),k2_pre_topc(X0),X1),X0)
| v4_pre_topc(X1,X0) ) ) ) ),
inference(nnf_transformation,[],[f8432]) ).
fof(f9944,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ! [X2] :
( ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ! [X3] :
( ~ m1_subset_1(X3,k1_zfmisc_1(X0))
| ? [X4] :
( m1_subset_1(X4,X0)
& ( r2_hidden(X4,X1)
| ( ~ r2_hidden(X4,X3)
& r2_hidden(X4,X2) ) )
& ( ~ r2_hidden(X4,X1)
| r2_hidden(X4,X3)
| ~ r2_hidden(X4,X2) ) )
| X1 = k6_subset_1(X0,X2,X3) ) ) ),
inference(nnf_transformation,[],[f8446]) ).
fof(f9945,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ! [X2] :
( ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ! [X3] :
( ~ m1_subset_1(X3,k1_zfmisc_1(X0))
| ? [X4] :
( m1_subset_1(X4,X0)
& ( r2_hidden(X4,X1)
| ( ~ r2_hidden(X4,X3)
& r2_hidden(X4,X2) ) )
& ( ~ r2_hidden(X4,X1)
| r2_hidden(X4,X3)
| ~ r2_hidden(X4,X2) ) )
| X1 = k6_subset_1(X0,X2,X3) ) ) ),
inference(flattening,[],[f9944]) ).
fof(f9946,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ! [X2] :
( ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ! [X3] :
( ~ m1_subset_1(X3,k1_zfmisc_1(X0))
| ( m1_subset_1(sK419(X0,X1,X2,X3),X0)
& ( r2_hidden(sK419(X0,X1,X2,X3),X1)
| ( ~ r2_hidden(sK419(X0,X1,X2,X3),X3)
& r2_hidden(sK419(X0,X1,X2,X3),X2) ) )
& ( ~ r2_hidden(sK419(X0,X1,X2,X3),X1)
| r2_hidden(sK419(X0,X1,X2,X3),X3)
| ~ r2_hidden(sK419(X0,X1,X2,X3),X2) ) )
| X1 = k6_subset_1(X0,X2,X3) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK419]),skolemize(X4,sK419(X0,X1,X2,X3))],[f9945]) ).
fof(f9947,plain,
! [X0] :
( ~ v1_finseq_1(X0)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ! [X1] :
( ~ v1_finseq_1(X1)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ( m2_subset_1(sK420(X0,X1),k1_numbers,k5_numbers)
& r1_xreal_0(sK420(X0,X1),k3_finseq_1(X0))
& r1_xreal_0(np__1,sK420(X0,X1))
& k1_funct_1(X0,sK420(X0,X1)) != k1_funct_1(X1,sK420(X0,X1)) )
| k3_finseq_1(X0) != k3_finseq_1(X1)
| X0 = X1 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK420]),skolemize(X2,sK420(X0,X1))],[f8450]) ).
fof(f9948,plain,
! [X0] :
( ~ m2_subset_1(X0,k1_numbers,k5_numbers)
| ! [X1] :
( ~ m2_subset_1(X1,k1_numbers,k5_numbers)
| ( ( ~ r2_hidden(k1_card_1(X0),k1_card_1(X1))
| ~ r1_xreal_0(X1,X0) )
& ( r1_xreal_0(X1,X0)
| r2_hidden(k1_card_1(X0),k1_card_1(X1)) ) ) ) ),
inference(nnf_transformation,[],[f8451]) ).
fof(f9949,plain,
! [X0] :
( ~ m2_subset_1(X0,k1_numbers,k5_numbers)
| ! [X1] :
( ~ m2_subset_1(X1,k1_numbers,k5_numbers)
| ( ( ~ r1_tarski(k1_card_1(X0),k1_card_1(X1))
| r1_xreal_0(X0,X1) )
& ( ~ r1_xreal_0(X0,X1)
| r1_tarski(k1_card_1(X0),k1_card_1(X1)) ) ) ) ),
inference(nnf_transformation,[],[f8452]) ).
fof(f9950,plain,
! [X0] :
( ( m2_subset_1(sK421(X0),k1_numbers,k5_numbers)
& r2_wellord2(X0,k2_finseq_1(sK421(X0))) )
| ~ v1_finset_1(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK421]),skolemize(X1,sK421(X0))],[f8455]) ).
fof(f9954,plain,
! [X0] :
( ~ v1_finseq_1(X0)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ! [X1] :
( ~ v1_finseq_1(X1)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ! [X2] :
( ~ v1_finseq_1(X2)
| ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| ( ( k7_finseq_1(X0,X1) != X2
| ( sP25(X0,X2,X1)
& ! [X3] :
( ~ m2_subset_1(X3,k1_numbers,k5_numbers)
| ~ r2_hidden(X3,k4_finseq_1(X0))
| k1_funct_1(X2,X3) = k1_funct_1(X0,X3) )
& k4_finseq_1(X2) = k2_finseq_1(k1_nat_1(k3_finseq_1(X0),k3_finseq_1(X1))) ) )
& ( ~ sP25(X0,X2,X1)
| ? [X3] :
( m2_subset_1(X3,k1_numbers,k5_numbers)
& r2_hidden(X3,k4_finseq_1(X0))
& k1_funct_1(X0,X3) != k1_funct_1(X2,X3) )
| k4_finseq_1(X2) != k2_finseq_1(k1_nat_1(k3_finseq_1(X0),k3_finseq_1(X1)))
| X2 = k7_finseq_1(X0,X1) ) ) ) ) ),
inference(nnf_transformation,[],[f9251]) ).
fof(f9955,plain,
! [X0] :
( ~ v1_finseq_1(X0)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ! [X1] :
( ~ v1_finseq_1(X1)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ! [X2] :
( ~ v1_finseq_1(X2)
| ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| ( ( k7_finseq_1(X0,X1) != X2
| ( sP25(X0,X2,X1)
& ! [X3] :
( ~ m2_subset_1(X3,k1_numbers,k5_numbers)
| ~ r2_hidden(X3,k4_finseq_1(X0))
| k1_funct_1(X2,X3) = k1_funct_1(X0,X3) )
& k4_finseq_1(X2) = k2_finseq_1(k1_nat_1(k3_finseq_1(X0),k3_finseq_1(X1))) ) )
& ( ~ sP25(X0,X2,X1)
| ? [X3] :
( m2_subset_1(X3,k1_numbers,k5_numbers)
& r2_hidden(X3,k4_finseq_1(X0))
& k1_funct_1(X0,X3) != k1_funct_1(X2,X3) )
| k4_finseq_1(X2) != k2_finseq_1(k1_nat_1(k3_finseq_1(X0),k3_finseq_1(X1)))
| X2 = k7_finseq_1(X0,X1) ) ) ) ) ),
inference(flattening,[],[f9954]) ).
fof(f9956,plain,
! [X0] :
( ~ v1_finseq_1(X0)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ! [X1] :
( ~ v1_finseq_1(X1)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ! [X2] :
( ~ v1_finseq_1(X2)
| ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| ( ( k7_finseq_1(X0,X1) != X2
| ( sP25(X0,X2,X1)
& ! [X4] :
( ~ m2_subset_1(X4,k1_numbers,k5_numbers)
| ~ r2_hidden(X4,k4_finseq_1(X0))
| k1_funct_1(X0,X4) = k1_funct_1(X2,X4) )
& k4_finseq_1(X2) = k2_finseq_1(k1_nat_1(k3_finseq_1(X0),k3_finseq_1(X1))) ) )
& ( ~ sP25(X0,X2,X1)
| ? [X3] :
( m2_subset_1(X3,k1_numbers,k5_numbers)
& r2_hidden(X3,k4_finseq_1(X0))
& k1_funct_1(X0,X3) != k1_funct_1(X2,X3) )
| k4_finseq_1(X2) != k2_finseq_1(k1_nat_1(k3_finseq_1(X0),k3_finseq_1(X1)))
| X2 = k7_finseq_1(X0,X1) ) ) ) ) ),
inference(rectify,[],[f9955]) ).
fof(f9957,plain,
! [X0] :
( ~ v1_finseq_1(X0)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ! [X1] :
( ~ v1_finseq_1(X1)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ! [X2] :
( ~ v1_finseq_1(X2)
| ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| ( ( k7_finseq_1(X0,X1) != X2
| ( sP25(X0,X2,X1)
& ! [X4] :
( ~ m2_subset_1(X4,k1_numbers,k5_numbers)
| ~ r2_hidden(X4,k4_finseq_1(X0))
| k1_funct_1(X0,X4) = k1_funct_1(X2,X4) )
& k4_finseq_1(X2) = k2_finseq_1(k1_nat_1(k3_finseq_1(X0),k3_finseq_1(X1))) ) )
& ( ~ sP25(X0,X2,X1)
| ( m2_subset_1(sK423(X0,X2),k1_numbers,k5_numbers)
& r2_hidden(sK423(X0,X2),k4_finseq_1(X0))
& k1_funct_1(X0,sK423(X0,X2)) != k1_funct_1(X2,sK423(X0,X2)) )
| k4_finseq_1(X2) != k2_finseq_1(k1_nat_1(k3_finseq_1(X0),k3_finseq_1(X1)))
| X2 = k7_finseq_1(X0,X1) ) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK423]),skolemize(X3,sK423(X0,X2))],[f9956]) ).
fof(f9958,plain,
! [X0] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ( v1_finseq_1(sK424(X0))
& v1_funct_1(sK424(X0))
& v1_relat_1(sK424(X0))
& r1_tarski(X0,sK424(X0)) )
| ! [X1] :
( ~ r1_tarski(k1_relat_1(X0),k2_finseq_1(X1))
| ~ m2_subset_1(X1,k1_numbers,k5_numbers) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK424]),skolemize(X2,sK424(X0))],[f8465]) ).
fof(f9959,plain,
! [X0] :
( ~ v1_finseq_1(X0)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ! [X1] :
( ~ m2_subset_1(X1,k1_numbers,k5_numbers)
| ( ( k3_finseq_1(X0) != X1
| k2_finseq_1(X1) = k1_relat_1(X0) )
& ( k1_relat_1(X0) != k2_finseq_1(X1)
| X1 = k3_finseq_1(X0) ) ) ) ),
inference(nnf_transformation,[],[f8467]) ).
fof(f9960,plain,
! [X0] :
( ~ v1_relat_1(X0)
| ( ( ~ v1_finseq_1(X0)
| ? [X1] :
( k1_relat_1(X0) = k2_finseq_1(X1)
& m2_subset_1(X1,k1_numbers,k5_numbers) ) )
& ( ! [X1] :
( k1_relat_1(X0) != k2_finseq_1(X1)
| ~ m2_subset_1(X1,k1_numbers,k5_numbers) )
| v1_finseq_1(X0) ) ) ),
inference(nnf_transformation,[],[f8468]) ).
fof(f9961,plain,
! [X0] :
( ~ v1_relat_1(X0)
| ( ( ~ v1_finseq_1(X0)
| ? [X2] :
( k1_relat_1(X0) = k2_finseq_1(X2)
& m2_subset_1(X2,k1_numbers,k5_numbers) ) )
& ( ! [X1] :
( k1_relat_1(X0) != k2_finseq_1(X1)
| ~ m2_subset_1(X1,k1_numbers,k5_numbers) )
| v1_finseq_1(X0) ) ) ),
inference(rectify,[],[f9960]) ).
fof(f9962,plain,
! [X0] :
( ~ v1_relat_1(X0)
| ( ( ~ v1_finseq_1(X0)
| ( k1_relat_1(X0) = k2_finseq_1(sK425(X0))
& m2_subset_1(sK425(X0),k1_numbers,k5_numbers) ) )
& ( ! [X1] :
( k1_relat_1(X0) != k2_finseq_1(X1)
| ~ m2_subset_1(X1,k1_numbers,k5_numbers) )
| v1_finseq_1(X0) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK425]),skolemize(X2,sK425(X0))],[f9961]) ).
fof(f9963,plain,
! [X0] :
( ( k1_xboole_0 != X0
| k1_card_1(X0) = np__0 )
& ( np__0 != k1_card_1(X0)
| X0 = k1_xboole_0 ) ),
inference(nnf_transformation,[],[f4127]) ).
fof(f9964,plain,
! [X0,X1] :
( ( k1_card_1(X0) != k1_card_1(k1_tarski(X1))
| ? [X2] : X0 = k1_tarski(X2) )
& ( ! [X2] : k1_tarski(X2) != X0
| k1_card_1(X0) = k1_card_1(k1_tarski(X1)) ) ),
inference(nnf_transformation,[],[f3177]) ).
fof(f9965,plain,
! [X0,X1] :
( ( k1_card_1(X0) != k1_card_1(k1_tarski(X1))
| ? [X3] : k1_tarski(X3) = X0 )
& ( ! [X2] : k1_tarski(X2) != X0
| k1_card_1(X0) = k1_card_1(k1_tarski(X1)) ) ),
inference(rectify,[],[f9964]) ).
fof(f9966,plain,
! [X0,X1] :
( ( k1_card_1(X0) != k1_card_1(k1_tarski(X1))
| k1_tarski(sK426(X0)) = X0 )
& ( ! [X2] : k1_tarski(X2) != X0
| k1_card_1(X0) = k1_card_1(k1_tarski(X1)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK426]),skolemize(X3,sK426(X0))],[f9965]) ).
fof(f9967,plain,
! [X0,X1] :
( ( ~ r1_tarski(k1_card_1(X0),k1_card_1(X1))
| ? [X2] :
( r1_tarski(X0,k2_relat_1(X2))
& k1_relat_1(X2) = X1
& v1_funct_1(X2)
& v1_relat_1(X2) ) )
& ( ! [X2] :
( ~ r1_tarski(X0,k2_relat_1(X2))
| k1_relat_1(X2) != X1
| ~ v1_funct_1(X2)
| ~ v1_relat_1(X2) )
| r1_tarski(k1_card_1(X0),k1_card_1(X1)) ) ),
inference(nnf_transformation,[],[f3153]) ).
fof(f9968,plain,
! [X0,X1] :
( ( ~ r1_tarski(k1_card_1(X0),k1_card_1(X1))
| ? [X3] :
( r1_tarski(X0,k2_relat_1(X3))
& k1_relat_1(X3) = X1
& v1_funct_1(X3)
& v1_relat_1(X3) ) )
& ( ! [X2] :
( ~ r1_tarski(X0,k2_relat_1(X2))
| k1_relat_1(X2) != X1
| ~ v1_funct_1(X2)
| ~ v1_relat_1(X2) )
| r1_tarski(k1_card_1(X0),k1_card_1(X1)) ) ),
inference(rectify,[],[f9967]) ).
fof(f9969,plain,
! [X0,X1] :
( ( ~ r1_tarski(k1_card_1(X0),k1_card_1(X1))
| ( r1_tarski(X0,k2_relat_1(sK427(X0,X1)))
& k1_relat_1(sK427(X0,X1)) = X1
& v1_funct_1(sK427(X0,X1))
& v1_relat_1(sK427(X0,X1)) ) )
& ( ! [X2] :
( ~ r1_tarski(X0,k2_relat_1(X2))
| k1_relat_1(X2) != X1
| ~ v1_funct_1(X2)
| ~ v1_relat_1(X2) )
| r1_tarski(k1_card_1(X0),k1_card_1(X1)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK427]),skolemize(X3,sK427(X0,X1))],[f9968]) ).
fof(f9970,plain,
! [X0,X1] :
( ( ~ r1_tarski(k1_card_1(X0),k1_card_1(X1))
| ? [X2] :
( r1_tarski(k2_relat_1(X2),X1)
& k1_relat_1(X2) = X0
& v2_funct_1(X2)
& v1_funct_1(X2)
& v1_relat_1(X2) ) )
& ( ! [X2] :
( ~ r1_tarski(k2_relat_1(X2),X1)
| k1_relat_1(X2) != X0
| ~ v2_funct_1(X2)
| ~ v1_funct_1(X2)
| ~ v1_relat_1(X2) )
| r1_tarski(k1_card_1(X0),k1_card_1(X1)) ) ),
inference(nnf_transformation,[],[f3151]) ).
fof(f9971,plain,
! [X0,X1] :
( ( ~ r1_tarski(k1_card_1(X0),k1_card_1(X1))
| ? [X3] :
( r1_tarski(k2_relat_1(X3),X1)
& k1_relat_1(X3) = X0
& v2_funct_1(X3)
& v1_funct_1(X3)
& v1_relat_1(X3) ) )
& ( ! [X2] :
( ~ r1_tarski(k2_relat_1(X2),X1)
| k1_relat_1(X2) != X0
| ~ v2_funct_1(X2)
| ~ v1_funct_1(X2)
| ~ v1_relat_1(X2) )
| r1_tarski(k1_card_1(X0),k1_card_1(X1)) ) ),
inference(rectify,[],[f9970]) ).
fof(f9972,plain,
! [X0,X1] :
( ( ~ r1_tarski(k1_card_1(X0),k1_card_1(X1))
| ( r1_tarski(k2_relat_1(sK428(X0,X1)),X1)
& k1_relat_1(sK428(X0,X1)) = X0
& v2_funct_1(sK428(X0,X1))
& v1_funct_1(sK428(X0,X1))
& v1_relat_1(sK428(X0,X1)) ) )
& ( ! [X2] :
( ~ r1_tarski(k2_relat_1(X2),X1)
| k1_relat_1(X2) != X0
| ~ v2_funct_1(X2)
| ~ v1_funct_1(X2)
| ~ v1_relat_1(X2) )
| r1_tarski(k1_card_1(X0),k1_card_1(X1)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK428]),skolemize(X3,sK428(X0,X1))],[f9971]) ).
fof(f9973,plain,
! [X0] :
( v1_xboole_0(X0)
| ! [X1] :
( v1_xboole_0(X1)
| ! [X2] :
( ~ m2_relset_1(X2,X0,X1)
| ~ v1_funct_2(X2,X0,X1)
| ~ v1_funct_1(X2)
| ( ( ~ v2_funct_1(X2)
| ! [X3] :
( ~ m1_subset_1(X3,X0)
| ! [X4] :
( ~ m1_subset_1(X4,X0)
| k8_funct_2(X0,X1,X2,X3) != k8_funct_2(X0,X1,X2,X4)
| X3 = X4 ) ) )
& ( ? [X3] :
( m1_subset_1(X3,X0)
& ? [X4] :
( m1_subset_1(X4,X0)
& k8_funct_2(X0,X1,X2,X3) = k8_funct_2(X0,X1,X2,X4)
& X3 != X4 ) )
| v2_funct_1(X2) ) ) ) ) ),
inference(nnf_transformation,[],[f8474]) ).
fof(f9974,plain,
! [X0] :
( v1_xboole_0(X0)
| ! [X1] :
( v1_xboole_0(X1)
| ! [X2] :
( ~ m2_relset_1(X2,X0,X1)
| ~ v1_funct_2(X2,X0,X1)
| ~ v1_funct_1(X2)
| ( ( ~ v2_funct_1(X2)
| ! [X5] :
( ~ m1_subset_1(X5,X0)
| ! [X6] :
( ~ m1_subset_1(X6,X0)
| k8_funct_2(X0,X1,X2,X5) != k8_funct_2(X0,X1,X2,X6)
| X5 = X6 ) ) )
& ( ? [X3] :
( m1_subset_1(X3,X0)
& ? [X4] :
( m1_subset_1(X4,X0)
& k8_funct_2(X0,X1,X2,X3) = k8_funct_2(X0,X1,X2,X4)
& X3 != X4 ) )
| v2_funct_1(X2) ) ) ) ) ),
inference(rectify,[],[f9973]) ).
fof(f9975,plain,
! [X0] :
( v1_xboole_0(X0)
| ! [X1] :
( v1_xboole_0(X1)
| ! [X2] :
( ~ m2_relset_1(X2,X0,X1)
| ~ v1_funct_2(X2,X0,X1)
| ~ v1_funct_1(X2)
| ( ( ~ v2_funct_1(X2)
| ! [X5] :
( ~ m1_subset_1(X5,X0)
| ! [X6] :
( ~ m1_subset_1(X6,X0)
| k8_funct_2(X0,X1,X2,X5) != k8_funct_2(X0,X1,X2,X6)
| X5 = X6 ) ) )
& ( ( m1_subset_1(sK429(X0,X1,X2),X0)
& m1_subset_1(sK430(X0,X1,X2),X0)
& k8_funct_2(X0,X1,X2,sK429(X0,X1,X2)) = k8_funct_2(X0,X1,X2,sK430(X0,X1,X2))
& sK429(X0,X1,X2) != sK430(X0,X1,X2) )
| v2_funct_1(X2) ) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK429,sK430]),skolemize(X3,sK429(X0,X1,X2)),skolemize(X4,sK430(X0,X1,X2))],[f9974]) ).
fof(f9976,plain,
( v1_finseq_1(sK431)
& v1_finset_1(sK431)
& v2_funct_1(sK431)
& v1_funct_1(sK431)
& v1_relat_1(sK431)
& v1_xboole_0(sK431) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK431]),skolemize(X0,sK431)],[f3230]) ).
fof(f9977,plain,
! [X0,X1] :
( ~ m2_relset_1(X1,X0,X0)
| ~ v1_funct_2(X1,X0,X0)
| ~ v1_funct_1(X1)
| ( ( ~ v2_funct_1(X1)
| ! [X2,X3] :
( k1_funct_1(X1,X2) != k1_funct_1(X1,X3)
| ~ r2_hidden(X3,X0)
| ~ r2_hidden(X2,X0)
| X2 = X3 ) )
& ( ? [X2,X3] :
( k1_funct_1(X1,X2) = k1_funct_1(X1,X3)
& r2_hidden(X3,X0)
& r2_hidden(X2,X0)
& X2 != X3 )
| v2_funct_1(X1) ) ) ),
inference(nnf_transformation,[],[f8480]) ).
fof(f9978,plain,
! [X0,X1] :
( ~ m2_relset_1(X1,X0,X0)
| ~ v1_funct_2(X1,X0,X0)
| ~ v1_funct_1(X1)
| ( ( ~ v2_funct_1(X1)
| ! [X4,X5] :
( k1_funct_1(X1,X4) != k1_funct_1(X1,X5)
| ~ r2_hidden(X5,X0)
| ~ r2_hidden(X4,X0)
| X4 = X5 ) )
& ( ? [X2,X3] :
( k1_funct_1(X1,X2) = k1_funct_1(X1,X3)
& r2_hidden(X3,X0)
& r2_hidden(X2,X0)
& X2 != X3 )
| v2_funct_1(X1) ) ) ),
inference(rectify,[],[f9977]) ).
fof(f9979,plain,
! [X0,X1] :
( ~ m2_relset_1(X1,X0,X0)
| ~ v1_funct_2(X1,X0,X0)
| ~ v1_funct_1(X1)
| ( ( ~ v2_funct_1(X1)
| ! [X4,X5] :
( k1_funct_1(X1,X4) != k1_funct_1(X1,X5)
| ~ r2_hidden(X5,X0)
| ~ r2_hidden(X4,X0)
| X4 = X5 ) )
& ( ( k1_funct_1(X1,sK432(X0,X1)) = k1_funct_1(X1,sK433(X0,X1))
& r2_hidden(sK433(X0,X1),X0)
& r2_hidden(sK432(X0,X1),X0)
& sK432(X0,X1) != sK433(X0,X1) )
| v2_funct_1(X1) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK432,sK433]),skolemize(X2,sK432(X0,X1)),skolemize(X3,sK433(X0,X1))],[f9978]) ).
fof(f9983,plain,
( v1_xboole_0(sK436)
& v2_funct_1(sK436)
& v1_funct_1(sK436)
& v1_relat_1(sK436) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK436]),skolemize(X0,sK436)],[f1346]) ).
fof(f9984,plain,
! [X0] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ( ( ~ v2_funct_1(X0)
| ! [X1] :
? [X2] : r1_tarski(k10_relat_1(X0,k1_tarski(X1)),k1_tarski(X2)) )
& ( ? [X1] :
! [X2] : ~ r1_tarski(k10_relat_1(X0,k1_tarski(X1)),k1_tarski(X2))
| v2_funct_1(X0) ) ) ),
inference(nnf_transformation,[],[f8490]) ).
fof(f9985,plain,
! [X0] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ( ( ~ v2_funct_1(X0)
| ! [X3] :
? [X4] : r1_tarski(k10_relat_1(X0,k1_tarski(X3)),k1_tarski(X4)) )
& ( ? [X1] :
! [X2] : ~ r1_tarski(k10_relat_1(X0,k1_tarski(X1)),k1_tarski(X2))
| v2_funct_1(X0) ) ) ),
inference(rectify,[],[f9984]) ).
fof(f9986,plain,
! [X0] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ( ( ~ v2_funct_1(X0)
| ! [X3] : r1_tarski(k10_relat_1(X0,k1_tarski(X3)),k1_tarski(sK438(X0,X3))) )
& ( ! [X2] : ~ r1_tarski(k10_relat_1(X0,k1_tarski(sK437(X0))),k1_tarski(X2))
| v2_funct_1(X0) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK437,sK438]),skolemize(X1,sK437(X0)),skolemize(X4,sK438(X0,X3))],[f9985]) ).
fof(f9987,plain,
! [X0] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ~ r1_tarski(k10_relat_1(X0,k9_relat_1(X0,sK439(X0))),sK439(X0))
| v2_funct_1(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK439]),skolemize(X1,sK439(X0))],[f8494]) ).
fof(f9988,plain,
! [X0] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ( ( ? [X1] :
( ! [X2] : k1_tarski(X2) != k10_relat_1(X0,k1_tarski(X1))
& r2_hidden(X1,k2_relat_1(X0)) )
| v2_funct_1(X0) )
& ( ~ v2_funct_1(X0)
| ! [X1] :
( ? [X2] : k1_tarski(X2) = k10_relat_1(X0,k1_tarski(X1))
| ~ r2_hidden(X1,k2_relat_1(X0)) ) ) ) ),
inference(nnf_transformation,[],[f8498]) ).
fof(f9989,plain,
! [X0] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ( ( ? [X3] :
( ! [X4] : k1_tarski(X4) != k10_relat_1(X0,k1_tarski(X3))
& r2_hidden(X3,k2_relat_1(X0)) )
| v2_funct_1(X0) )
& ( ~ v2_funct_1(X0)
| ! [X1] :
( ? [X2] : k1_tarski(X2) = k10_relat_1(X0,k1_tarski(X1))
| ~ r2_hidden(X1,k2_relat_1(X0)) ) ) ) ),
inference(rectify,[],[f9988]) ).
fof(f9990,plain,
! [X0] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ( ( ( ! [X4] : k1_tarski(X4) != k10_relat_1(X0,k1_tarski(sK441(X0)))
& r2_hidden(sK441(X0),k2_relat_1(X0)) )
| v2_funct_1(X0) )
& ( ~ v2_funct_1(X0)
| ! [X1] :
( k10_relat_1(X0,k1_tarski(X1)) = k1_tarski(sK440(X0,X1))
| ~ r2_hidden(X1,k2_relat_1(X0)) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK440,sK441]),skolemize(X2,sK440(X0,X1)),skolemize(X3,sK441(X0))],[f9989]) ).
fof(f9991,plain,
! [X0] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| k9_relat_1(X0,k4_xboole_0(sK442(X0),sK443(X0))) != k4_xboole_0(k9_relat_1(X0,sK442(X0)),k9_relat_1(X0,sK443(X0)))
| v2_funct_1(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK442,sK443]),skolemize(X1,sK442(X0)),skolemize(X2,sK443(X0))],[f8500]) ).
fof(f9992,plain,
! [X0] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| k9_relat_1(X0,k3_xboole_0(sK444(X0),sK445(X0))) != k3_xboole_0(k9_relat_1(X0,sK444(X0)),k9_relat_1(X0,sK445(X0)))
| v2_funct_1(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK444,sK445]),skolemize(X1,sK444(X0)),skolemize(X2,sK445(X0))],[f8504]) ).
fof(f9993,plain,
! [X0] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ( ( ~ v2_funct_1(X0)
| ! [X1,X2] :
( k1_funct_1(X0,X1) != k1_funct_1(X0,X2)
| ~ r2_hidden(X2,k1_relat_1(X0))
| ~ r2_hidden(X1,k1_relat_1(X0))
| X1 = X2 ) )
& ( ? [X1,X2] :
( k1_funct_1(X0,X1) = k1_funct_1(X0,X2)
& r2_hidden(X2,k1_relat_1(X0))
& r2_hidden(X1,k1_relat_1(X0))
& X1 != X2 )
| v2_funct_1(X0) ) ) ),
inference(nnf_transformation,[],[f8508]) ).
fof(f9994,plain,
! [X0] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ( ( ~ v2_funct_1(X0)
| ! [X3,X4] :
( k1_funct_1(X0,X3) != k1_funct_1(X0,X4)
| ~ r2_hidden(X4,k1_relat_1(X0))
| ~ r2_hidden(X3,k1_relat_1(X0))
| X3 = X4 ) )
& ( ? [X1,X2] :
( k1_funct_1(X0,X1) = k1_funct_1(X0,X2)
& r2_hidden(X2,k1_relat_1(X0))
& r2_hidden(X1,k1_relat_1(X0))
& X1 != X2 )
| v2_funct_1(X0) ) ) ),
inference(rectify,[],[f9993]) ).
fof(f9995,plain,
! [X0] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ( ( ~ v2_funct_1(X0)
| ! [X3,X4] :
( k1_funct_1(X0,X3) != k1_funct_1(X0,X4)
| ~ r2_hidden(X4,k1_relat_1(X0))
| ~ r2_hidden(X3,k1_relat_1(X0))
| X3 = X4 ) )
& ( ( k1_funct_1(X0,sK446(X0)) = k1_funct_1(X0,sK447(X0))
& r2_hidden(sK447(X0),k1_relat_1(X0))
& r2_hidden(sK446(X0),k1_relat_1(X0))
& sK446(X0) != sK447(X0) )
| v2_funct_1(X0) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK446,sK447]),skolemize(X1,sK446(X0)),skolemize(X2,sK447(X0))],[f9994]) ).
fof(f9996,plain,
( v2_funct_1(sK448)
& v1_funct_1(sK448)
& v1_relat_1(sK448) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK448]),skolemize(X0,sK448)],[f920]) ).
fof(f9997,plain,
! [X0] :
( ~ l3_lattices(X0)
| v3_realset2(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| ! [X3] :
( ~ m1_filter_0(X3,X0)
| ~ v1_filter_0(X3,X0)
| ( ( ~ r2_hidden(k3_lattices(X0,X1,X2),X3)
| r2_hidden(X2,X3)
| r2_hidden(X1,X3) )
& ( ( ~ r2_hidden(X2,X3)
& ~ r2_hidden(X1,X3) )
| r2_hidden(k3_lattices(X0,X1,X2),X3) ) ) ) ) ) ),
inference(nnf_transformation,[],[f8516]) ).
fof(f9998,plain,
! [X0] :
( ~ l3_lattices(X0)
| v3_realset2(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| ! [X3] :
( ~ m1_filter_0(X3,X0)
| ~ v1_filter_0(X3,X0)
| ( ( ~ r2_hidden(k3_lattices(X0,X1,X2),X3)
| r2_hidden(X2,X3)
| r2_hidden(X1,X3) )
& ( ( ~ r2_hidden(X2,X3)
& ~ r2_hidden(X1,X3) )
| r2_hidden(k3_lattices(X0,X1,X2),X3) ) ) ) ) ) ),
inference(flattening,[],[f9997]) ).
fof(f9999,plain,
! [X0,X1] :
( ~ l3_lattices(X1)
| v3_realset2(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ( ( ~ r2_hidden(X0,k7_lopclset(X1))
| ? [X2] :
( v1_filter_0(X2,X1)
& X2 = X0
& m1_filter_0(X2,X1) ) )
& ( ! [X2] :
( ~ v1_filter_0(X2,X1)
| X0 != X2
| ~ m1_filter_0(X2,X1) )
| r2_hidden(X0,k7_lopclset(X1)) ) ) ),
inference(nnf_transformation,[],[f8518]) ).
fof(f10000,plain,
! [X0,X1] :
( ~ l3_lattices(X1)
| v3_realset2(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ( ( ~ r2_hidden(X0,k7_lopclset(X1))
| ? [X3] :
( v1_filter_0(X3,X1)
& X0 = X3
& m1_filter_0(X3,X1) ) )
& ( ! [X2] :
( ~ v1_filter_0(X2,X1)
| X0 != X2
| ~ m1_filter_0(X2,X1) )
| r2_hidden(X0,k7_lopclset(X1)) ) ) ),
inference(rectify,[],[f9999]) ).
fof(f10001,plain,
! [X0,X1] :
( ~ l3_lattices(X1)
| v3_realset2(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ( ( ~ r2_hidden(X0,k7_lopclset(X1))
| ( v1_filter_0(sK449(X0,X1),X1)
& sK449(X0,X1) = X0
& m1_filter_0(sK449(X0,X1),X1) ) )
& ( ! [X2] :
( ~ v1_filter_0(X2,X1)
| X0 != X2
| ~ m1_filter_0(X2,X1) )
| r2_hidden(X0,k7_lopclset(X1)) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK449]),skolemize(X3,sK449(X0,X1))],[f10000]) ).
fof(f10002,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| ( m1_filter_0(sK450(X0,X1,X2),X0)
& ( ( r2_hidden(X2,sK450(X0,X1,X2))
& ~ r2_hidden(X1,sK450(X0,X1,X2)) )
| ( ~ r2_hidden(X2,sK450(X0,X1,X2))
& r2_hidden(X1,sK450(X0,X1,X2)) ) )
& v1_filter_0(sK450(X0,X1,X2),X0) )
| X1 = X2 ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK450]),skolemize(X3,sK450(X0,X1,X2))],[f8520]) ).
fof(f10003,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_filter_0(X1,X0)
| ~ v1_filter_0(X1,X0)
| ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| ( ( ~ r2_hidden(X2,X1)
| ~ r2_hidden(k7_lattices(X0,X2),X1) )
& ( r2_hidden(k7_lattices(X0,X2),X1)
| r2_hidden(X2,X1) ) ) ) ) ),
inference(nnf_transformation,[],[f8522]) ).
fof(f10004,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_filter_0(X1,X0)
| ( ( ~ v1_filter_0(X1,X0)
| ( ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| r2_hidden(k7_lattices(X0,X2),X1)
| r2_hidden(X2,X1) )
& X1 != u1_struct_0(X0) ) )
& ( ? [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
& ~ r2_hidden(k7_lattices(X0,X2),X1)
& ~ r2_hidden(X2,X1) )
| u1_struct_0(X0) = X1
| v1_filter_0(X1,X0) ) ) ) ),
inference(nnf_transformation,[],[f8524]) ).
fof(f10005,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_filter_0(X1,X0)
| ( ( ~ v1_filter_0(X1,X0)
| ( ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| r2_hidden(k7_lattices(X0,X2),X1)
| r2_hidden(X2,X1) )
& X1 != u1_struct_0(X0) ) )
& ( ? [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
& ~ r2_hidden(k7_lattices(X0,X2),X1)
& ~ r2_hidden(X2,X1) )
| u1_struct_0(X0) = X1
| v1_filter_0(X1,X0) ) ) ) ),
inference(flattening,[],[f10004]) ).
fof(f10006,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_filter_0(X1,X0)
| ( ( ~ v1_filter_0(X1,X0)
| ( ! [X3] :
( ~ m1_subset_1(X3,u1_struct_0(X0))
| r2_hidden(k7_lattices(X0,X3),X1)
| r2_hidden(X3,X1) )
& X1 != u1_struct_0(X0) ) )
& ( ? [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
& ~ r2_hidden(k7_lattices(X0,X2),X1)
& ~ r2_hidden(X2,X1) )
| u1_struct_0(X0) = X1
| v1_filter_0(X1,X0) ) ) ) ),
inference(rectify,[],[f10005]) ).
fof(f10007,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_filter_0(X1,X0)
| ( ( ~ v1_filter_0(X1,X0)
| ( ! [X3] :
( ~ m1_subset_1(X3,u1_struct_0(X0))
| r2_hidden(k7_lattices(X0,X3),X1)
| r2_hidden(X3,X1) )
& X1 != u1_struct_0(X0) ) )
& ( ( m1_subset_1(sK451(X0,X1),u1_struct_0(X0))
& ~ r2_hidden(k7_lattices(X0,sK451(X0,X1)),X1)
& ~ r2_hidden(sK451(X0,X1),X1) )
| u1_struct_0(X0) = X1
| v1_filter_0(X1,X0) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK451]),skolemize(X2,sK451(X0,X1))],[f10006]) ).
fof(f10009,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ v13_lattices(X0)
| ! [X1] :
( ~ m1_filter_0(X1,X0)
| ( m1_filter_0(sK453(X0,X1),X0)
& v1_filter_0(sK453(X0,X1),X0)
& r1_tarski(X1,sK453(X0,X1)) )
| u1_struct_0(X0) = X1 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK453]),skolemize(X2,sK453(X0,X1))],[f8528]) ).
fof(f10010,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_filter_0(X1,X0)
| ( ( ~ v1_filter_0(X1,X0)
| ( ! [X2] :
( ~ m1_filter_0(X2,X0)
| ~ r1_tarski(X1,X2)
| X1 = X2
| X2 = u1_struct_0(X0) )
& X1 != u1_struct_0(X0) ) )
& ( ? [X2] :
( m1_filter_0(X2,X0)
& r1_tarski(X1,X2)
& X1 != X2
& u1_struct_0(X0) != X2 )
| u1_struct_0(X0) = X1
| v1_filter_0(X1,X0) ) ) ) ),
inference(nnf_transformation,[],[f8530]) ).
fof(f10011,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_filter_0(X1,X0)
| ( ( ~ v1_filter_0(X1,X0)
| ( ! [X2] :
( ~ m1_filter_0(X2,X0)
| ~ r1_tarski(X1,X2)
| X1 = X2
| X2 = u1_struct_0(X0) )
& X1 != u1_struct_0(X0) ) )
& ( ? [X2] :
( m1_filter_0(X2,X0)
& r1_tarski(X1,X2)
& X1 != X2
& u1_struct_0(X0) != X2 )
| u1_struct_0(X0) = X1
| v1_filter_0(X1,X0) ) ) ) ),
inference(flattening,[],[f10010]) ).
fof(f10012,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_filter_0(X1,X0)
| ( ( ~ v1_filter_0(X1,X0)
| ( ! [X3] :
( ~ m1_filter_0(X3,X0)
| ~ r1_tarski(X1,X3)
| X1 = X3
| u1_struct_0(X0) = X3 )
& X1 != u1_struct_0(X0) ) )
& ( ? [X2] :
( m1_filter_0(X2,X0)
& r1_tarski(X1,X2)
& X1 != X2
& u1_struct_0(X0) != X2 )
| u1_struct_0(X0) = X1
| v1_filter_0(X1,X0) ) ) ) ),
inference(rectify,[],[f10011]) ).
fof(f10013,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_filter_0(X1,X0)
| ( ( ~ v1_filter_0(X1,X0)
| ( ! [X3] :
( ~ m1_filter_0(X3,X0)
| ~ r1_tarski(X1,X3)
| X1 = X3
| u1_struct_0(X0) = X3 )
& X1 != u1_struct_0(X0) ) )
& ( ( m1_filter_0(sK454(X0,X1),X0)
& r1_tarski(X1,sK454(X0,X1))
& sK454(X0,X1) != X1
& u1_struct_0(X0) != sK454(X0,X1) )
| u1_struct_0(X0) = X1
| v1_filter_0(X1,X0) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK454]),skolemize(X2,sK454(X0,X1))],[f10012]) ).
fof(f10014,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_eqrel_1(X1,u1_struct_0(X0))
| v1_xboole_0(X1)
| ! [X2] :
( ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| ( ( ~ r2_hidden(k3_tarski(X2),u1_pre_topc(X0))
| r2_hidden(X2,u1_pre_topc(k16_borsuk_1(X0,X1))) )
& ( ~ r2_hidden(X2,u1_pre_topc(k16_borsuk_1(X0,X1)))
| r2_hidden(k3_tarski(X2),u1_pre_topc(X0)) ) ) ) ) ),
inference(nnf_transformation,[],[f8546]) ).
fof(f10015,plain,
! [X0] :
( ~ l1_group_1(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ l1_group_1(X1)
| v3_struct_0(X1)
| ! [X2] :
( ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X2)
| ( ( ~ v1_group_6(X2,X0,X1)
| ! [X3] :
( ~ m1_subset_1(X3,u1_struct_0(X0))
| ! [X4] :
( ~ m1_subset_1(X4,u1_struct_0(X0))
| k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,k1_group_1(X0,X3,X4)) = k1_group_1(X1,k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,X3),k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,X4)) ) ) )
& ( ? [X3] :
( m1_subset_1(X3,u1_struct_0(X0))
& ? [X4] :
( m1_subset_1(X4,u1_struct_0(X0))
& k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,k1_group_1(X0,X3,X4)) != k1_group_1(X1,k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,X3),k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,X4)) ) )
| v1_group_6(X2,X0,X1) ) ) ) ) ),
inference(nnf_transformation,[],[f8554]) ).
fof(f10016,plain,
! [X0] :
( ~ l1_group_1(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ l1_group_1(X1)
| v3_struct_0(X1)
| ! [X2] :
( ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X2)
| ( ( ~ v1_group_6(X2,X0,X1)
| ! [X5] :
( ~ m1_subset_1(X5,u1_struct_0(X0))
| ! [X6] :
( ~ m1_subset_1(X6,u1_struct_0(X0))
| k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,k1_group_1(X0,X5,X6)) = k1_group_1(X1,k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,X5),k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,X6)) ) ) )
& ( ? [X3] :
( m1_subset_1(X3,u1_struct_0(X0))
& ? [X4] :
( m1_subset_1(X4,u1_struct_0(X0))
& k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,k1_group_1(X0,X3,X4)) != k1_group_1(X1,k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,X3),k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,X4)) ) )
| v1_group_6(X2,X0,X1) ) ) ) ) ),
inference(rectify,[],[f10015]) ).
fof(f10017,plain,
! [X0] :
( ~ l1_group_1(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ l1_group_1(X1)
| v3_struct_0(X1)
| ! [X2] :
( ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X2)
| ( ( ~ v1_group_6(X2,X0,X1)
| ! [X5] :
( ~ m1_subset_1(X5,u1_struct_0(X0))
| ! [X6] :
( ~ m1_subset_1(X6,u1_struct_0(X0))
| k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,k1_group_1(X0,X5,X6)) = k1_group_1(X1,k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,X5),k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,X6)) ) ) )
& ( ( m1_subset_1(sK455(X0,X1,X2),u1_struct_0(X0))
& m1_subset_1(sK456(X0,X1,X2),u1_struct_0(X0))
& k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,k1_group_1(X0,sK455(X0,X1,X2),sK456(X0,X1,X2))) != k1_group_1(X1,k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,sK455(X0,X1,X2)),k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,sK456(X0,X1,X2))) )
| v1_group_6(X2,X0,X1) ) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK455,sK456]),skolemize(X3,sK455(X0,X1,X2)),skolemize(X4,sK456(X0,X1,X2))],[f10016]) ).
fof(f10018,plain,
! [X0,X1] :
( ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| v3_struct_0(X1)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ( v1_group_6(sK457(X0,X1),X0,X1)
& v1_partfun1(sK457(X0,X1),u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_2(sK457(X0,X1),u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_1(sK457(X0,X1))
& v1_relat_1(sK457(X0,X1))
& ~ v1_xboole_0(sK457(X0,X1))
& m1_relset_1(sK457(X0,X1),u1_struct_0(X0),u1_struct_0(X1)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK457]),skolemize(X2,sK457(X0,X1))],[f8556]) ).
fof(f10019,plain,
! [X0] :
( ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| v3_struct_0(X1)
| ! [X2] :
( ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_group_6(X2,X0,X1)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X2)
| ! [X3] :
( ~ m1_group_2(X3,X1)
| ~ v1_group_1(X3)
| ( ( k13_group_6(X0,X1,X2) != X3
| u1_struct_0(X3) = k2_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,u1_struct_0(X0)) )
& ( u1_struct_0(X3) != k2_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,u1_struct_0(X0))
| X3 = k13_group_6(X0,X1,X2) ) ) ) ) ) ),
inference(nnf_transformation,[],[f8564]) ).
fof(f10020,plain,
( v3_realset2(sK458)
& v4_group_1(sK458)
& v3_group_1(sK458)
& v2_group_1(sK458)
& ~ v3_struct_0(sK458)
& l1_group_1(sK458) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK458]),skolemize(X0,sK458)],[f6164]) ).
fof(f10021,plain,
! [X0] :
( ~ l1_group_1(X0)
| v3_struct_0(X0)
| ~ v2_group_1(X0)
| ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ( ( k2_group_1(X0) != X1
| ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| ( k1_group_1(X0,X1,X2) = X2
& k1_group_1(X0,X2,X1) = X2 ) ) )
& ( ? [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
& ( k1_group_1(X0,X1,X2) != X2
| k1_group_1(X0,X2,X1) != X2 ) )
| X1 = k2_group_1(X0) ) ) ) ),
inference(nnf_transformation,[],[f8568]) ).
fof(f10022,plain,
! [X0] :
( ~ l1_group_1(X0)
| v3_struct_0(X0)
| ~ v2_group_1(X0)
| ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ( ( k2_group_1(X0) != X1
| ! [X3] :
( ~ m1_subset_1(X3,u1_struct_0(X0))
| ( k1_group_1(X0,X1,X3) = X3
& k1_group_1(X0,X3,X1) = X3 ) ) )
& ( ? [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
& ( k1_group_1(X0,X1,X2) != X2
| k1_group_1(X0,X2,X1) != X2 ) )
| X1 = k2_group_1(X0) ) ) ) ),
inference(rectify,[],[f10021]) ).
fof(f10023,plain,
! [X0] :
( ~ l1_group_1(X0)
| v3_struct_0(X0)
| ~ v2_group_1(X0)
| ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ( ( k2_group_1(X0) != X1
| ! [X3] :
( ~ m1_subset_1(X3,u1_struct_0(X0))
| ( k1_group_1(X0,X1,X3) = X3
& k1_group_1(X0,X3,X1) = X3 ) ) )
& ( ( m1_subset_1(sK459(X0,X1),u1_struct_0(X0))
& ( sK459(X0,X1) != k1_group_1(X0,X1,sK459(X0,X1))
| sK459(X0,X1) != k1_group_1(X0,sK459(X0,X1),X1) ) )
| X1 = k2_group_1(X0) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK459]),skolemize(X2,sK459(X0,X1))],[f10022]) ).
fof(f10024,plain,
! [X0] :
( ~ l1_group_1(X0)
| v3_struct_0(X0)
| ( ( ~ v2_group_1(X0)
| ? [X1] :
( ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| ( k1_group_1(X0,X1,X2) = X2
& k1_group_1(X0,X2,X1) = X2 ) )
& m1_subset_1(X1,u1_struct_0(X0)) ) )
& ( ! [X1] :
( ? [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
& ( k1_group_1(X0,X1,X2) != X2
| k1_group_1(X0,X2,X1) != X2 ) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| v2_group_1(X0) ) ) ),
inference(nnf_transformation,[],[f8570]) ).
fof(f10025,plain,
! [X0] :
( ~ l1_group_1(X0)
| v3_struct_0(X0)
| ( ( ~ v2_group_1(X0)
| ? [X3] :
( ! [X4] :
( ~ m1_subset_1(X4,u1_struct_0(X0))
| ( k1_group_1(X0,X3,X4) = X4
& k1_group_1(X0,X4,X3) = X4 ) )
& m1_subset_1(X3,u1_struct_0(X0)) ) )
& ( ! [X1] :
( ? [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
& ( k1_group_1(X0,X1,X2) != X2
| k1_group_1(X0,X2,X1) != X2 ) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| v2_group_1(X0) ) ) ),
inference(rectify,[],[f10024]) ).
fof(f10026,plain,
! [X0] :
( ~ l1_group_1(X0)
| v3_struct_0(X0)
| ( ( ~ v2_group_1(X0)
| ( ! [X4] :
( ~ m1_subset_1(X4,u1_struct_0(X0))
| ( k1_group_1(X0,sK461(X0),X4) = X4
& k1_group_1(X0,X4,sK461(X0)) = X4 ) )
& m1_subset_1(sK461(X0),u1_struct_0(X0)) ) )
& ( ! [X1] :
( ( m1_subset_1(sK460(X0,X1),u1_struct_0(X0))
& ( sK460(X0,X1) != k1_group_1(X0,X1,sK460(X0,X1))
| sK460(X0,X1) != k1_group_1(X0,sK460(X0,X1),X1) ) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| v2_group_1(X0) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK460,sK461]),skolemize(X2,sK460(X0,X1)),skolemize(X3,sK461(X0))],[f10025]) ).
fof(f10027,plain,
( v7_group_1(sK462)
& v4_group_1(sK462)
& v3_group_1(sK462)
& v2_group_1(sK462)
& v1_group_1(sK462)
& ~ v3_struct_0(sK462)
& l1_group_1(sK462) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK462]),skolemize(X0,sK462)],[f4993]) ).
fof(f10028,plain,
( v4_group_1(sK463)
& v3_group_1(sK463)
& v2_group_1(sK463)
& v1_group_1(sK463)
& ~ v3_struct_0(sK463)
& l1_group_1(sK463) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK463]),skolemize(X0,sK463)],[f4992]) ).
fof(f10029,plain,
! [X0] :
( ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| ( ( k3_group_1(X0,X1) != X2
| ( k1_group_1(X0,X2,X1) = k2_group_1(X0)
& k1_group_1(X0,X1,X2) = k2_group_1(X0) ) )
& ( k1_group_1(X0,X2,X1) != k2_group_1(X0)
| k1_group_1(X0,X1,X2) != k2_group_1(X0)
| X2 = k3_group_1(X0,X1) ) ) ) ) ),
inference(nnf_transformation,[],[f8599]) ).
fof(f10030,plain,
! [X0] :
( ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| ( ( k3_group_1(X0,X1) != X2
| ( k1_group_1(X0,X2,X1) = k2_group_1(X0)
& k1_group_1(X0,X1,X2) = k2_group_1(X0) ) )
& ( k1_group_1(X0,X2,X1) != k2_group_1(X0)
| k1_group_1(X0,X1,X2) != k2_group_1(X0)
| X2 = k3_group_1(X0,X1) ) ) ) ) ),
inference(flattening,[],[f10029]) ).
fof(f10031,plain,
! [X0] :
( ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ( m1_subset_1(sK464(X0,X1),u1_struct_0(X0))
& ( sK464(X0,X1) != k1_group_1(X0,X1,sK464(X0,X1))
| sK464(X0,X1) != k1_group_1(X0,sK464(X0,X1),X1) ) )
| X1 = k2_group_1(X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK464]),skolemize(X2,sK464(X0,X1))],[f8601]) ).
fof(f10035,plain,
! [X0] :
( v1_xboole_0(X0)
| ! [X1] :
( v1_xboole_0(X1)
| ! [X2] :
( v1_xboole_0(X2)
| ! [X3] :
( ~ m2_relset_1(X3,X0,X1)
| ~ v1_funct_2(X3,X0,X1)
| ~ v1_funct_1(X3)
| ! [X4] :
( ~ m2_relset_1(X4,X0,X2)
| ~ v1_funct_2(X4,X0,X2)
| ~ v1_funct_1(X4)
| sP27(X4,X3,X2,X1,X0)
| ( m1_subset_1(sK466(X0,X1,X2,X3,X4),X0)
& m1_subset_1(sK467(X0,X1,X2,X3,X4),X0)
& k8_funct_2(X0,X1,X3,sK466(X0,X1,X2,X3,X4)) = k8_funct_2(X0,X1,X3,sK467(X0,X1,X2,X3,X4))
& k8_funct_2(X0,X2,X4,sK466(X0,X1,X2,X3,X4)) != k8_funct_2(X0,X2,X4,sK467(X0,X1,X2,X3,X4)) ) ) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK466,sK467]),skolemize(X5,sK466(X0,X1,X2,X3,X4)),skolemize(X6,sK467(X0,X1,X2,X3,X4))],[f9255]) ).
fof(f10036,plain,
! [X0] :
( v1_xboole_0(X0)
| ! [X1] :
( v1_xboole_0(X1)
| ! [X2,X3] :
( ~ m2_relset_1(X3,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X3,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X3)
| ~ v3_binop_1(X3,X0)
| ~ v2_binop_1(X3,X0)
| ~ v1_binop_1(X3,X0)
| ! [X4] :
( ~ m1_subset_1(X4,k5_finsub_1(X1))
| k1_xboole_0 = X4
| ! [X5] :
( ~ m2_relset_1(X5,X1,k5_finsub_1(X2))
| ~ v1_funct_2(X5,X1,k5_finsub_1(X2))
| ~ v1_funct_1(X5)
| ! [X6] :
( ~ m2_relset_1(X6,k5_finsub_1(X2),X0)
| ~ v1_funct_2(X6,k5_finsub_1(X2),X0)
| ~ v1_funct_1(X6)
| ( m1_subset_1(sK468(X0,X2,X3,X6),k5_finsub_1(X2))
& m1_subset_1(sK469(X0,X2,X3,X6),k5_finsub_1(X2))
& k8_funct_2(k5_finsub_1(X2),X0,X6,k5_setwiseo(X2,sK468(X0,X2,X3,X6),sK469(X0,X2,X3,X6))) != k2_binop_1(X0,X0,X0,X3,k8_funct_2(k5_finsub_1(X2),X0,X6,sK468(X0,X2,X3,X6)),k8_funct_2(k5_finsub_1(X2),X0,X6,sK469(X0,X2,X3,X6))) )
| k8_funct_2(k5_finsub_1(X2),X0,X6,k10_setwiseo(X1,X2,X4,X5)) = k7_setwiseo(X1,X0,X3,X4,k7_funct_2(X1,k5_finsub_1(X2),X0,X5,X6)) ) ) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK468,sK469]),skolemize(X7,sK468(X0,X2,X3,X6)),skolemize(X8,sK469(X0,X2,X3,X6))],[f8609]) ).
fof(f10037,plain,
! [X0] :
( ~ l3_lattices(X0)
| v3_struct_0(X0)
| ( ( ~ v11_lattices(X0)
| ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| ! [X3] :
( ~ m1_subset_1(X3,u1_struct_0(X0))
| k2_lattices(X0,X1,k1_lattices(X0,X2,X3)) = k1_lattices(X0,k2_lattices(X0,X1,X2),k2_lattices(X0,X1,X3)) ) ) ) )
& ( ? [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
& ? [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
& ? [X3] :
( m1_subset_1(X3,u1_struct_0(X0))
& k2_lattices(X0,X1,k1_lattices(X0,X2,X3)) != k1_lattices(X0,k2_lattices(X0,X1,X2),k2_lattices(X0,X1,X3)) ) ) )
| v11_lattices(X0) ) ) ),
inference(nnf_transformation,[],[f8631]) ).
fof(f10038,plain,
! [X0] :
( ~ l3_lattices(X0)
| v3_struct_0(X0)
| ( ( ~ v11_lattices(X0)
| ! [X4] :
( ~ m1_subset_1(X4,u1_struct_0(X0))
| ! [X5] :
( ~ m1_subset_1(X5,u1_struct_0(X0))
| ! [X6] :
( ~ m1_subset_1(X6,u1_struct_0(X0))
| k2_lattices(X0,X4,k1_lattices(X0,X5,X6)) = k1_lattices(X0,k2_lattices(X0,X4,X5),k2_lattices(X0,X4,X6)) ) ) ) )
& ( ? [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
& ? [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
& ? [X3] :
( m1_subset_1(X3,u1_struct_0(X0))
& k2_lattices(X0,X1,k1_lattices(X0,X2,X3)) != k1_lattices(X0,k2_lattices(X0,X1,X2),k2_lattices(X0,X1,X3)) ) ) )
| v11_lattices(X0) ) ) ),
inference(rectify,[],[f10037]) ).
fof(f10039,plain,
! [X0] :
( ~ l3_lattices(X0)
| v3_struct_0(X0)
| ( ( ~ v11_lattices(X0)
| ! [X4] :
( ~ m1_subset_1(X4,u1_struct_0(X0))
| ! [X5] :
( ~ m1_subset_1(X5,u1_struct_0(X0))
| ! [X6] :
( ~ m1_subset_1(X6,u1_struct_0(X0))
| k2_lattices(X0,X4,k1_lattices(X0,X5,X6)) = k1_lattices(X0,k2_lattices(X0,X4,X5),k2_lattices(X0,X4,X6)) ) ) ) )
& ( ( m1_subset_1(sK470(X0),u1_struct_0(X0))
& m1_subset_1(sK471(X0),u1_struct_0(X0))
& m1_subset_1(sK472(X0),u1_struct_0(X0))
& k2_lattices(X0,sK470(X0),k1_lattices(X0,sK471(X0),sK472(X0))) != k1_lattices(X0,k2_lattices(X0,sK470(X0),sK471(X0)),k2_lattices(X0,sK470(X0),sK472(X0))) )
| v11_lattices(X0) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK470,sK471,sK472]),skolemize(X1,sK470(X0)),skolemize(X2,sK471(X0)),skolemize(X3,sK472(X0))],[f10038]) ).
fof(f10040,plain,
! [X0] :
( ~ l3_lattices(X0)
| v3_struct_0(X0)
| ( ( ~ v9_lattices(X0)
| ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| k2_lattices(X0,X1,k1_lattices(X0,X1,X2)) = X1 ) ) )
& ( ? [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
& ? [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
& k2_lattices(X0,X1,k1_lattices(X0,X1,X2)) != X1 ) )
| v9_lattices(X0) ) ) ),
inference(nnf_transformation,[],[f8633]) ).
fof(f10041,plain,
! [X0] :
( ~ l3_lattices(X0)
| v3_struct_0(X0)
| ( ( ~ v9_lattices(X0)
| ! [X3] :
( ~ m1_subset_1(X3,u1_struct_0(X0))
| ! [X4] :
( ~ m1_subset_1(X4,u1_struct_0(X0))
| k2_lattices(X0,X3,k1_lattices(X0,X3,X4)) = X3 ) ) )
& ( ? [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
& ? [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
& k2_lattices(X0,X1,k1_lattices(X0,X1,X2)) != X1 ) )
| v9_lattices(X0) ) ) ),
inference(rectify,[],[f10040]) ).
fof(f10042,plain,
! [X0] :
( ~ l3_lattices(X0)
| v3_struct_0(X0)
| ( ( ~ v9_lattices(X0)
| ! [X3] :
( ~ m1_subset_1(X3,u1_struct_0(X0))
| ! [X4] :
( ~ m1_subset_1(X4,u1_struct_0(X0))
| k2_lattices(X0,X3,k1_lattices(X0,X3,X4)) = X3 ) ) )
& ( ( m1_subset_1(sK473(X0),u1_struct_0(X0))
& m1_subset_1(sK474(X0),u1_struct_0(X0))
& sK473(X0) != k2_lattices(X0,sK473(X0),k1_lattices(X0,sK473(X0),sK474(X0))) )
| v9_lattices(X0) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK473,sK474]),skolemize(X1,sK473(X0)),skolemize(X2,sK474(X0))],[f10041]) ).
fof(f10043,plain,
! [X0] :
( ~ l3_lattices(X0)
| v3_struct_0(X0)
| ( ( ~ v8_lattices(X0)
| ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| k1_lattices(X0,k2_lattices(X0,X1,X2),X2) = X2 ) ) )
& ( ? [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
& ? [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
& k1_lattices(X0,k2_lattices(X0,X1,X2),X2) != X2 ) )
| v8_lattices(X0) ) ) ),
inference(nnf_transformation,[],[f8635]) ).
fof(f10044,plain,
! [X0] :
( ~ l3_lattices(X0)
| v3_struct_0(X0)
| ( ( ~ v8_lattices(X0)
| ! [X3] :
( ~ m1_subset_1(X3,u1_struct_0(X0))
| ! [X4] :
( ~ m1_subset_1(X4,u1_struct_0(X0))
| k1_lattices(X0,k2_lattices(X0,X3,X4),X4) = X4 ) ) )
& ( ? [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
& ? [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
& k1_lattices(X0,k2_lattices(X0,X1,X2),X2) != X2 ) )
| v8_lattices(X0) ) ) ),
inference(rectify,[],[f10043]) ).
fof(f10045,plain,
! [X0] :
( ~ l3_lattices(X0)
| v3_struct_0(X0)
| ( ( ~ v8_lattices(X0)
| ! [X3] :
( ~ m1_subset_1(X3,u1_struct_0(X0))
| ! [X4] :
( ~ m1_subset_1(X4,u1_struct_0(X0))
| k1_lattices(X0,k2_lattices(X0,X3,X4),X4) = X4 ) ) )
& ( ( m1_subset_1(sK475(X0),u1_struct_0(X0))
& m1_subset_1(sK476(X0),u1_struct_0(X0))
& sK476(X0) != k1_lattices(X0,k2_lattices(X0,sK475(X0),sK476(X0)),sK476(X0)) )
| v8_lattices(X0) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK475,sK476]),skolemize(X1,sK475(X0)),skolemize(X2,sK476(X0))],[f10044]) ).
fof(f10046,plain,
! [X0,X1] :
( v1_xboole_0(X1)
| ! [X2] :
( ~ m2_relset_1(X2,X0,X1)
| ~ v1_funct_2(X2,X0,X1)
| ~ v1_funct_1(X2)
| ! [X3] :
( ~ m2_relset_1(X3,X0,X1)
| ~ v1_funct_2(X3,X0,X1)
| ~ v1_funct_1(X3)
| ! [X4] :
( ~ m1_subset_1(X4,k5_finsub_1(X0))
| ( m1_subset_1(sK477(X0,X2,X3,X4),X0)
& r2_hidden(sK477(X0,X2,X3,X4),X4)
& k1_funct_1(X2,sK477(X0,X2,X3,X4)) != k1_funct_1(X3,sK477(X0,X2,X3,X4)) )
| k1_funct_4(X3,k2_partfun1(X0,X1,X2,X4)) = X3 ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK477]),skolemize(X5,sK477(X0,X2,X3,X4))],[f8639]) ).
fof(f10047,plain,
! [X0,X1] :
( v1_xboole_0(X1)
| ! [X2] :
( ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ! [X3] :
( ~ m2_relset_1(X3,X0,X1)
| ~ v1_funct_2(X3,X0,X1)
| ~ v1_funct_1(X3)
| ! [X4] :
( ~ m2_relset_1(X4,X0,X1)
| ~ v1_funct_2(X4,X0,X1)
| ~ v1_funct_1(X4)
| ( m1_subset_1(sK478(X0,X2,X3,X4),X0)
& r2_hidden(sK478(X0,X2,X3,X4),X2)
& k1_funct_1(X3,sK478(X0,X2,X3,X4)) != k1_funct_1(X4,sK478(X0,X2,X3,X4)) )
| k1_funct_4(X4,k2_partfun1(X0,X1,X3,X2)) = X4 ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK478]),skolemize(X5,sK478(X0,X2,X3,X4))],[f8645]) ).
fof(f10048,plain,
! [X0,X1] :
( v1_xboole_0(X1)
| ! [X2] :
( ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ! [X3] :
( ~ m2_relset_1(X3,X0,X1)
| ~ v1_funct_2(X3,X0,X1)
| ~ v1_funct_1(X3)
| ! [X4] :
( ~ m2_relset_1(X4,X0,X1)
| ~ v1_funct_2(X4,X0,X1)
| ~ v1_funct_1(X4)
| ( ( k2_partfun1(X0,X1,X3,X2) != k2_partfun1(X0,X1,X4,X2)
| ! [X5] :
( ~ m1_subset_1(X5,X0)
| ~ r2_hidden(X5,X2)
| k1_funct_1(X4,X5) = k1_funct_1(X3,X5) ) )
& ( ? [X5] :
( m1_subset_1(X5,X0)
& r2_hidden(X5,X2)
& k1_funct_1(X3,X5) != k1_funct_1(X4,X5) )
| k2_partfun1(X0,X1,X3,X2) = k2_partfun1(X0,X1,X4,X2) ) ) ) ) ) ),
inference(nnf_transformation,[],[f8653]) ).
fof(f10049,plain,
! [X0,X1] :
( v1_xboole_0(X1)
| ! [X2] :
( ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ! [X3] :
( ~ m2_relset_1(X3,X0,X1)
| ~ v1_funct_2(X3,X0,X1)
| ~ v1_funct_1(X3)
| ! [X4] :
( ~ m2_relset_1(X4,X0,X1)
| ~ v1_funct_2(X4,X0,X1)
| ~ v1_funct_1(X4)
| ( ( k2_partfun1(X0,X1,X3,X2) != k2_partfun1(X0,X1,X4,X2)
| ! [X6] :
( ~ m1_subset_1(X6,X0)
| ~ r2_hidden(X6,X2)
| k1_funct_1(X3,X6) = k1_funct_1(X4,X6) ) )
& ( ? [X5] :
( m1_subset_1(X5,X0)
& r2_hidden(X5,X2)
& k1_funct_1(X3,X5) != k1_funct_1(X4,X5) )
| k2_partfun1(X0,X1,X3,X2) = k2_partfun1(X0,X1,X4,X2) ) ) ) ) ) ),
inference(rectify,[],[f10048]) ).
fof(f10050,plain,
! [X0,X1] :
( v1_xboole_0(X1)
| ! [X2] :
( ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ! [X3] :
( ~ m2_relset_1(X3,X0,X1)
| ~ v1_funct_2(X3,X0,X1)
| ~ v1_funct_1(X3)
| ! [X4] :
( ~ m2_relset_1(X4,X0,X1)
| ~ v1_funct_2(X4,X0,X1)
| ~ v1_funct_1(X4)
| ( ( k2_partfun1(X0,X1,X3,X2) != k2_partfun1(X0,X1,X4,X2)
| ! [X6] :
( ~ m1_subset_1(X6,X0)
| ~ r2_hidden(X6,X2)
| k1_funct_1(X3,X6) = k1_funct_1(X4,X6) ) )
& ( ( m1_subset_1(sK479(X0,X2,X3,X4),X0)
& r2_hidden(sK479(X0,X2,X3,X4),X2)
& k1_funct_1(X3,sK479(X0,X2,X3,X4)) != k1_funct_1(X4,sK479(X0,X2,X3,X4)) )
| k2_partfun1(X0,X1,X3,X2) = k2_partfun1(X0,X1,X4,X2) ) ) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK479]),skolemize(X5,sK479(X0,X2,X3,X4))],[f10049]) ).
fof(f10051,plain,
l3_vectsp_1(sK480),
inference(skolemize,[status(esa),new_symbols(skolem,[sK480]),skolemize(X0,sK480)],[f5280]) ).
fof(f10052,plain,
! [X0] :
( v1_realset1(X0)
| ! [X1] :
( ~ m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| ! [X2] :
( ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ! [X3] :
( ~ m1_subset_1(X3,X0)
| ! [X4] :
( ~ m1_subset_1(X4,k4_xboole_0(X0,k5_realset1(X0,X3)))
| ! [X5] :
( ~ l3_vectsp_1(X5)
| v3_realset2(X5)
| ~ v3_vectsp_1(X5)
| ( ( k1_realset2(X0,X1,X2,X3,X4) != X5
| ( X4 = u1_vectsp_1(X5)
& X3 = u2_struct_0(X5)
& X2 = u1_group_1(X5)
& X1 = u1_rlvect_1(X5)
& X0 = u1_struct_0(X5) ) )
& ( u1_vectsp_1(X5) != X4
| u2_struct_0(X5) != X3
| u1_group_1(X5) != X2
| u1_rlvect_1(X5) != X1
| u1_struct_0(X5) != X0
| X5 = k1_realset2(X0,X1,X2,X3,X4) ) ) ) ) ) ) ) ),
inference(nnf_transformation,[],[f8671]) ).
fof(f10053,plain,
! [X0] :
( v1_realset1(X0)
| ! [X1] :
( ~ m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| ! [X2] :
( ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ! [X3] :
( ~ m1_subset_1(X3,X0)
| ! [X4] :
( ~ m1_subset_1(X4,k4_xboole_0(X0,k5_realset1(X0,X3)))
| ! [X5] :
( ~ l3_vectsp_1(X5)
| v3_realset2(X5)
| ~ v3_vectsp_1(X5)
| ( ( k1_realset2(X0,X1,X2,X3,X4) != X5
| ( X4 = u1_vectsp_1(X5)
& X3 = u2_struct_0(X5)
& X2 = u1_group_1(X5)
& X1 = u1_rlvect_1(X5)
& X0 = u1_struct_0(X5) ) )
& ( u1_vectsp_1(X5) != X4
| u2_struct_0(X5) != X3
| u1_group_1(X5) != X2
| u1_rlvect_1(X5) != X1
| u1_struct_0(X5) != X0
| X5 = k1_realset2(X0,X1,X2,X3,X4) ) ) ) ) ) ) ) ),
inference(flattening,[],[f10052]) ).
fof(f10054,plain,
! [X0,X1,X2,X3] :
( ~ m2_relset_1(X3,X0,X1)
| ~ v1_funct_2(X3,X0,X1)
| ~ v1_funct_1(X3)
| k1_xboole_0 = X1
| ! [X4] :
( ( ~ r2_hidden(X4,k10_relat_1(X3,X2))
| ( r2_hidden(k1_funct_1(X3,X4),X2)
& r2_hidden(X4,X0) ) )
& ( ~ r2_hidden(k1_funct_1(X3,X4),X2)
| ~ r2_hidden(X4,X0)
| r2_hidden(X4,k10_relat_1(X3,X2)) ) ) ),
inference(nnf_transformation,[],[f8683]) ).
fof(f10055,plain,
! [X0,X1,X2,X3] :
( ~ m2_relset_1(X3,X0,X1)
| ~ v1_funct_2(X3,X0,X1)
| ~ v1_funct_1(X3)
| k1_xboole_0 = X1
| ! [X4] :
( ( ~ r2_hidden(X4,k10_relat_1(X3,X2))
| ( r2_hidden(k1_funct_1(X3,X4),X2)
& r2_hidden(X4,X0) ) )
& ( ~ r2_hidden(k1_funct_1(X3,X4),X2)
| ~ r2_hidden(X4,X0)
| r2_hidden(X4,k10_relat_1(X3,X2)) ) ) ),
inference(flattening,[],[f10054]) ).
fof(f10056,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| ( k1_xboole_0 = k10_relat_1(X1,k1_tarski(sK481(X0,X1)))
& r2_hidden(sK481(X0,X1),X0) )
| r1_tarski(X0,k2_relat_1(X1)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK481]),skolemize(X2,sK481(X0,X1))],[f8706]) ).
fof(f10057,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| ( ( ~ r2_hidden(X0,k2_relat_1(X1))
| k10_relat_1(X1,k1_tarski(X0)) != k1_xboole_0 )
& ( k1_xboole_0 = k10_relat_1(X1,k1_tarski(X0))
| r2_hidden(X0,k2_relat_1(X1)) ) ) ),
inference(nnf_transformation,[],[f8707]) ).
fof(f10058,plain,
! [X0] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ! [X1,X2] :
( ( k10_relat_1(X0,X1) != X2
| ! [X3] :
( ( ~ r2_hidden(X3,X2)
| ( r2_hidden(k1_funct_1(X0,X3),X1)
& r2_hidden(X3,k1_relat_1(X0)) ) )
& ( ~ r2_hidden(k1_funct_1(X0,X3),X1)
| ~ r2_hidden(X3,k1_relat_1(X0))
| r2_hidden(X3,X2) ) ) )
& ( ? [X3] :
( ( r2_hidden(X3,X2)
| ( r2_hidden(k1_funct_1(X0,X3),X1)
& r2_hidden(X3,k1_relat_1(X0)) ) )
& ( ~ r2_hidden(X3,X2)
| ~ r2_hidden(k1_funct_1(X0,X3),X1)
| ~ r2_hidden(X3,k1_relat_1(X0)) ) )
| X2 = k10_relat_1(X0,X1) ) ) ),
inference(nnf_transformation,[],[f8713]) ).
fof(f10059,plain,
! [X0] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ! [X1,X2] :
( ( k10_relat_1(X0,X1) != X2
| ! [X3] :
( ( ~ r2_hidden(X3,X2)
| ( r2_hidden(k1_funct_1(X0,X3),X1)
& r2_hidden(X3,k1_relat_1(X0)) ) )
& ( ~ r2_hidden(k1_funct_1(X0,X3),X1)
| ~ r2_hidden(X3,k1_relat_1(X0))
| r2_hidden(X3,X2) ) ) )
& ( ? [X3] :
( ( r2_hidden(X3,X2)
| ( r2_hidden(k1_funct_1(X0,X3),X1)
& r2_hidden(X3,k1_relat_1(X0)) ) )
& ( ~ r2_hidden(X3,X2)
| ~ r2_hidden(k1_funct_1(X0,X3),X1)
| ~ r2_hidden(X3,k1_relat_1(X0)) ) )
| X2 = k10_relat_1(X0,X1) ) ) ),
inference(flattening,[],[f10058]) ).
fof(f10060,plain,
! [X0] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ! [X1,X2] :
( ( k10_relat_1(X0,X1) != X2
| ! [X4] :
( ( ~ r2_hidden(X4,X2)
| ( r2_hidden(k1_funct_1(X0,X4),X1)
& r2_hidden(X4,k1_relat_1(X0)) ) )
& ( ~ r2_hidden(k1_funct_1(X0,X4),X1)
| ~ r2_hidden(X4,k1_relat_1(X0))
| r2_hidden(X4,X2) ) ) )
& ( ? [X3] :
( ( r2_hidden(X3,X2)
| ( r2_hidden(k1_funct_1(X0,X3),X1)
& r2_hidden(X3,k1_relat_1(X0)) ) )
& ( ~ r2_hidden(X3,X2)
| ~ r2_hidden(k1_funct_1(X0,X3),X1)
| ~ r2_hidden(X3,k1_relat_1(X0)) ) )
| X2 = k10_relat_1(X0,X1) ) ) ),
inference(rectify,[],[f10059]) ).
fof(f10061,plain,
! [X0] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ! [X1,X2] :
( ( k10_relat_1(X0,X1) != X2
| ! [X4] :
( ( ~ r2_hidden(X4,X2)
| ( r2_hidden(k1_funct_1(X0,X4),X1)
& r2_hidden(X4,k1_relat_1(X0)) ) )
& ( ~ r2_hidden(k1_funct_1(X0,X4),X1)
| ~ r2_hidden(X4,k1_relat_1(X0))
| r2_hidden(X4,X2) ) ) )
& ( ( ( r2_hidden(sK482(X0,X1,X2),X2)
| ( r2_hidden(k1_funct_1(X0,sK482(X0,X1,X2)),X1)
& r2_hidden(sK482(X0,X1,X2),k1_relat_1(X0)) ) )
& ( ~ r2_hidden(sK482(X0,X1,X2),X2)
| ~ r2_hidden(k1_funct_1(X0,sK482(X0,X1,X2)),X1)
| ~ r2_hidden(sK482(X0,X1,X2),k1_relat_1(X0)) ) )
| X2 = k10_relat_1(X0,X1) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK482]),skolemize(X3,sK482(X0,X1,X2))],[f10060]) ).
fof(f10062,plain,
! [X0,X1,X2] :
( ~ v1_relat_1(X2)
| ( ( ~ r2_hidden(X0,k10_relat_1(X2,X1))
| ? [X3] :
( r2_hidden(X3,X1)
& r2_hidden(k4_tarski(X0,X3),X2)
& r2_hidden(X3,k2_relat_1(X2)) ) )
& ( ! [X3] :
( ~ r2_hidden(X3,X1)
| ~ r2_hidden(k4_tarski(X0,X3),X2)
| ~ r2_hidden(X3,k2_relat_1(X2)) )
| r2_hidden(X0,k10_relat_1(X2,X1)) ) ) ),
inference(nnf_transformation,[],[f8730]) ).
fof(f10063,plain,
! [X0,X1,X2] :
( ~ v1_relat_1(X2)
| ( ( ~ r2_hidden(X0,k10_relat_1(X2,X1))
| ? [X4] :
( r2_hidden(X4,X1)
& r2_hidden(k4_tarski(X0,X4),X2)
& r2_hidden(X4,k2_relat_1(X2)) ) )
& ( ! [X3] :
( ~ r2_hidden(X3,X1)
| ~ r2_hidden(k4_tarski(X0,X3),X2)
| ~ r2_hidden(X3,k2_relat_1(X2)) )
| r2_hidden(X0,k10_relat_1(X2,X1)) ) ) ),
inference(rectify,[],[f10062]) ).
fof(f10064,plain,
! [X0,X1,X2] :
( ~ v1_relat_1(X2)
| ( ( ~ r2_hidden(X0,k10_relat_1(X2,X1))
| ( r2_hidden(sK483(X0,X1,X2),X1)
& r2_hidden(k4_tarski(X0,sK483(X0,X1,X2)),X2)
& r2_hidden(sK483(X0,X1,X2),k2_relat_1(X2)) ) )
& ( ! [X3] :
( ~ r2_hidden(X3,X1)
| ~ r2_hidden(k4_tarski(X0,X3),X2)
| ~ r2_hidden(X3,k2_relat_1(X2)) )
| r2_hidden(X0,k10_relat_1(X2,X1)) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK483]),skolemize(X4,sK483(X0,X1,X2))],[f10063]) ).
fof(f10065,plain,
! [X0] :
( ~ v1_relat_1(X0)
| ! [X1,X2] :
( ( k10_relat_1(X0,X1) != X2
| ! [X3] :
( ( ~ r2_hidden(X3,X2)
| ? [X4] :
( r2_hidden(X4,X1)
& r2_hidden(k4_tarski(X3,X4),X0) ) )
& ( ! [X4] :
( ~ r2_hidden(X4,X1)
| ~ r2_hidden(k4_tarski(X3,X4),X0) )
| r2_hidden(X3,X2) ) ) )
& ( ? [X3] :
( ( r2_hidden(X3,X2)
| ? [X4] :
( r2_hidden(X4,X1)
& r2_hidden(k4_tarski(X3,X4),X0) ) )
& ( ~ r2_hidden(X3,X2)
| ! [X4] :
( ~ r2_hidden(X4,X1)
| ~ r2_hidden(k4_tarski(X3,X4),X0) ) ) )
| X2 = k10_relat_1(X0,X1) ) ) ),
inference(nnf_transformation,[],[f8731]) ).
fof(f10066,plain,
! [X0] :
( ~ v1_relat_1(X0)
| ! [X1,X2] :
( ( k10_relat_1(X0,X1) != X2
| ! [X6] :
( ( ~ r2_hidden(X6,X2)
| ? [X8] :
( r2_hidden(X8,X1)
& r2_hidden(k4_tarski(X6,X8),X0) ) )
& ( ! [X7] :
( ~ r2_hidden(X7,X1)
| ~ r2_hidden(k4_tarski(X6,X7),X0) )
| r2_hidden(X6,X2) ) ) )
& ( ? [X3] :
( ( r2_hidden(X3,X2)
| ? [X5] :
( r2_hidden(X5,X1)
& r2_hidden(k4_tarski(X3,X5),X0) ) )
& ( ~ r2_hidden(X3,X2)
| ! [X4] :
( ~ r2_hidden(X4,X1)
| ~ r2_hidden(k4_tarski(X3,X4),X0) ) ) )
| X2 = k10_relat_1(X0,X1) ) ) ),
inference(rectify,[],[f10065]) ).
fof(f10067,plain,
! [X0] :
( ~ v1_relat_1(X0)
| ! [X1,X2] :
( ( k10_relat_1(X0,X1) != X2
| ! [X6] :
( ( ~ r2_hidden(X6,X2)
| ( r2_hidden(sK486(X0,X1,X6),X1)
& r2_hidden(k4_tarski(X6,sK486(X0,X1,X6)),X0) ) )
& ( ! [X7] :
( ~ r2_hidden(X7,X1)
| ~ r2_hidden(k4_tarski(X6,X7),X0) )
| r2_hidden(X6,X2) ) ) )
& ( ( ( r2_hidden(sK484(X0,X1,X2),X2)
| ( r2_hidden(sK485(X0,X1,X2),X1)
& r2_hidden(k4_tarski(sK484(X0,X1,X2),sK485(X0,X1,X2)),X0) ) )
& ( ~ r2_hidden(sK484(X0,X1,X2),X2)
| ! [X4] :
( ~ r2_hidden(X4,X1)
| ~ r2_hidden(k4_tarski(sK484(X0,X1,X2),X4),X0) ) ) )
| X2 = k10_relat_1(X0,X1) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK484,sK485,sK486]),skolemize(X3,sK484(X0,X1,X2)),skolemize(X5,sK485(X0,X1,X2)),skolemize(X8,sK486(X0,X1,X6))],[f10066]) ).
fof(f10068,plain,
! [X0] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ! [X1,X2] :
( ( k9_relat_1(X0,X1) != X2
| ! [X3] :
( ( ~ r2_hidden(X3,X2)
| ? [X4] :
( X3 = k1_funct_1(X0,X4)
& r2_hidden(X4,X1)
& r2_hidden(X4,k1_relat_1(X0)) ) )
& ( ! [X4] :
( k1_funct_1(X0,X4) != X3
| ~ r2_hidden(X4,X1)
| ~ r2_hidden(X4,k1_relat_1(X0)) )
| r2_hidden(X3,X2) ) ) )
& ( ? [X3] :
( ( r2_hidden(X3,X2)
| ? [X4] :
( X3 = k1_funct_1(X0,X4)
& r2_hidden(X4,X1)
& r2_hidden(X4,k1_relat_1(X0)) ) )
& ( ~ r2_hidden(X3,X2)
| ! [X4] :
( k1_funct_1(X0,X4) != X3
| ~ r2_hidden(X4,X1)
| ~ r2_hidden(X4,k1_relat_1(X0)) ) ) )
| X2 = k9_relat_1(X0,X1) ) ) ),
inference(nnf_transformation,[],[f8751]) ).
fof(f10069,plain,
! [X0] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ! [X1,X2] :
( ( k9_relat_1(X0,X1) != X2
| ! [X6] :
( ( ~ r2_hidden(X6,X2)
| ? [X8] :
( k1_funct_1(X0,X8) = X6
& r2_hidden(X8,X1)
& r2_hidden(X8,k1_relat_1(X0)) ) )
& ( ! [X7] :
( k1_funct_1(X0,X7) != X6
| ~ r2_hidden(X7,X1)
| ~ r2_hidden(X7,k1_relat_1(X0)) )
| r2_hidden(X6,X2) ) ) )
& ( ? [X3] :
( ( r2_hidden(X3,X2)
| ? [X5] :
( k1_funct_1(X0,X5) = X3
& r2_hidden(X5,X1)
& r2_hidden(X5,k1_relat_1(X0)) ) )
& ( ~ r2_hidden(X3,X2)
| ! [X4] :
( k1_funct_1(X0,X4) != X3
| ~ r2_hidden(X4,X1)
| ~ r2_hidden(X4,k1_relat_1(X0)) ) ) )
| X2 = k9_relat_1(X0,X1) ) ) ),
inference(rectify,[],[f10068]) ).
fof(f10070,plain,
! [X0] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ! [X1,X2] :
( ( k9_relat_1(X0,X1) != X2
| ! [X6] :
( ( ~ r2_hidden(X6,X2)
| ( k1_funct_1(X0,sK489(X0,X1,X6)) = X6
& r2_hidden(sK489(X0,X1,X6),X1)
& r2_hidden(sK489(X0,X1,X6),k1_relat_1(X0)) ) )
& ( ! [X7] :
( k1_funct_1(X0,X7) != X6
| ~ r2_hidden(X7,X1)
| ~ r2_hidden(X7,k1_relat_1(X0)) )
| r2_hidden(X6,X2) ) ) )
& ( ( ( r2_hidden(sK487(X0,X1,X2),X2)
| ( sK487(X0,X1,X2) = k1_funct_1(X0,sK488(X0,X1,X2))
& r2_hidden(sK488(X0,X1,X2),X1)
& r2_hidden(sK488(X0,X1,X2),k1_relat_1(X0)) ) )
& ( ~ r2_hidden(sK487(X0,X1,X2),X2)
| ! [X4] :
( k1_funct_1(X0,X4) != sK487(X0,X1,X2)
| ~ r2_hidden(X4,X1)
| ~ r2_hidden(X4,k1_relat_1(X0)) ) ) )
| X2 = k9_relat_1(X0,X1) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK487,sK488,sK489]),skolemize(X3,sK487(X0,X1,X2)),skolemize(X5,sK488(X0,X1,X2)),skolemize(X8,sK489(X0,X1,X6))],[f10069]) ).
fof(f10071,plain,
! [X0,X1,X2] :
( ~ v1_relat_1(X2)
| ( ( ~ r2_hidden(X0,k9_relat_1(X2,X1))
| ? [X3] :
( r2_hidden(X3,X1)
& r2_hidden(k4_tarski(X3,X0),X2)
& r2_hidden(X3,k1_relat_1(X2)) ) )
& ( ! [X3] :
( ~ r2_hidden(X3,X1)
| ~ r2_hidden(k4_tarski(X3,X0),X2)
| ~ r2_hidden(X3,k1_relat_1(X2)) )
| r2_hidden(X0,k9_relat_1(X2,X1)) ) ) ),
inference(nnf_transformation,[],[f8768]) ).
fof(f10072,plain,
! [X0,X1,X2] :
( ~ v1_relat_1(X2)
| ( ( ~ r2_hidden(X0,k9_relat_1(X2,X1))
| ? [X4] :
( r2_hidden(X4,X1)
& r2_hidden(k4_tarski(X4,X0),X2)
& r2_hidden(X4,k1_relat_1(X2)) ) )
& ( ! [X3] :
( ~ r2_hidden(X3,X1)
| ~ r2_hidden(k4_tarski(X3,X0),X2)
| ~ r2_hidden(X3,k1_relat_1(X2)) )
| r2_hidden(X0,k9_relat_1(X2,X1)) ) ) ),
inference(rectify,[],[f10071]) ).
fof(f10073,plain,
! [X0,X1,X2] :
( ~ v1_relat_1(X2)
| ( ( ~ r2_hidden(X0,k9_relat_1(X2,X1))
| ( r2_hidden(sK490(X0,X1,X2),X1)
& r2_hidden(k4_tarski(sK490(X0,X1,X2),X0),X2)
& r2_hidden(sK490(X0,X1,X2),k1_relat_1(X2)) ) )
& ( ! [X3] :
( ~ r2_hidden(X3,X1)
| ~ r2_hidden(k4_tarski(X3,X0),X2)
| ~ r2_hidden(X3,k1_relat_1(X2)) )
| r2_hidden(X0,k9_relat_1(X2,X1)) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK490]),skolemize(X4,sK490(X0,X1,X2))],[f10072]) ).
fof(f10074,plain,
! [X0] :
( ~ v1_relat_1(X0)
| ! [X1,X2] :
( ( k9_relat_1(X0,X1) != X2
| ! [X3] :
( ( ~ r2_hidden(X3,X2)
| ? [X4] :
( r2_hidden(X4,X1)
& r2_hidden(k4_tarski(X4,X3),X0) ) )
& ( ! [X4] :
( ~ r2_hidden(X4,X1)
| ~ r2_hidden(k4_tarski(X4,X3),X0) )
| r2_hidden(X3,X2) ) ) )
& ( ? [X3] :
( ( r2_hidden(X3,X2)
| ? [X4] :
( r2_hidden(X4,X1)
& r2_hidden(k4_tarski(X4,X3),X0) ) )
& ( ~ r2_hidden(X3,X2)
| ! [X4] :
( ~ r2_hidden(X4,X1)
| ~ r2_hidden(k4_tarski(X4,X3),X0) ) ) )
| X2 = k9_relat_1(X0,X1) ) ) ),
inference(nnf_transformation,[],[f8769]) ).
fof(f10075,plain,
! [X0] :
( ~ v1_relat_1(X0)
| ! [X1,X2] :
( ( k9_relat_1(X0,X1) != X2
| ! [X6] :
( ( ~ r2_hidden(X6,X2)
| ? [X8] :
( r2_hidden(X8,X1)
& r2_hidden(k4_tarski(X8,X6),X0) ) )
& ( ! [X7] :
( ~ r2_hidden(X7,X1)
| ~ r2_hidden(k4_tarski(X7,X6),X0) )
| r2_hidden(X6,X2) ) ) )
& ( ? [X3] :
( ( r2_hidden(X3,X2)
| ? [X5] :
( r2_hidden(X5,X1)
& r2_hidden(k4_tarski(X5,X3),X0) ) )
& ( ~ r2_hidden(X3,X2)
| ! [X4] :
( ~ r2_hidden(X4,X1)
| ~ r2_hidden(k4_tarski(X4,X3),X0) ) ) )
| X2 = k9_relat_1(X0,X1) ) ) ),
inference(rectify,[],[f10074]) ).
fof(f10076,plain,
! [X0] :
( ~ v1_relat_1(X0)
| ! [X1,X2] :
( ( k9_relat_1(X0,X1) != X2
| ! [X6] :
( ( ~ r2_hidden(X6,X2)
| ( r2_hidden(sK493(X0,X1,X6),X1)
& r2_hidden(k4_tarski(sK493(X0,X1,X6),X6),X0) ) )
& ( ! [X7] :
( ~ r2_hidden(X7,X1)
| ~ r2_hidden(k4_tarski(X7,X6),X0) )
| r2_hidden(X6,X2) ) ) )
& ( ( ( r2_hidden(sK491(X0,X1,X2),X2)
| ( r2_hidden(sK492(X0,X1,X2),X1)
& r2_hidden(k4_tarski(sK492(X0,X1,X2),sK491(X0,X1,X2)),X0) ) )
& ( ~ r2_hidden(sK491(X0,X1,X2),X2)
| ! [X4] :
( ~ r2_hidden(X4,X1)
| ~ r2_hidden(k4_tarski(X4,sK491(X0,X1,X2)),X0) ) ) )
| X2 = k9_relat_1(X0,X1) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK491,sK492,sK493]),skolemize(X3,sK491(X0,X1,X2)),skolemize(X5,sK492(X0,X1,X2)),skolemize(X8,sK493(X0,X1,X6))],[f10075]) ).
fof(f10077,plain,
! [X0] :
( v1_xboole_0(X0)
| ! [X1] :
( v1_xboole_0(X1)
| ! [X2] :
( ~ m1_subset_1(X2,k5_finsub_1(X0))
| ! [X3,X4] :
( ~ m2_relset_1(X4,X0,X1)
| ~ v1_funct_2(X4,X0,X1)
| ~ v1_funct_1(X4)
| ( m1_subset_1(sK494(X0,X1,X2,X3,X4),X0)
& r2_hidden(sK494(X0,X1,X2,X3,X4),X2)
& ~ r2_hidden(k8_funct_2(X0,X1,X4,sK494(X0,X1,X2,X3,X4)),X3) )
| r1_tarski(k2_funct_2(X0,X1,X4,X2),X3) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK494]),skolemize(X5,sK494(X0,X1,X2,X3,X4))],[f8773]) ).
fof(f10078,plain,
! [X0,X1,X2,X3] :
( ~ m2_relset_1(X3,X0,X1)
| ~ v1_funct_2(X3,X0,X1)
| ~ v1_funct_1(X3)
| ! [X4] :
( ( m1_subset_1(sK495(X0,X2,X3,X4),X0)
& k1_funct_1(X3,sK495(X0,X2,X3,X4)) = X4
& r2_hidden(sK495(X0,X2,X3,X4),X2) )
| ~ r2_hidden(X4,k2_funct_2(X0,X1,X3,X2)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK495]),skolemize(X5,sK495(X0,X2,X3,X4))],[f8783]) ).
fof(f10079,plain,
! [X0,X1,X2,X3] :
( ~ m2_relset_1(X3,X0,X1)
| ~ v1_funct_2(X3,X0,X1)
| ~ v1_funct_1(X3)
| ! [X4] :
( ( k1_funct_1(X3,sK496(X0,X2,X3,X4)) = X4
& r2_hidden(sK496(X0,X2,X3,X4),X2)
& r2_hidden(sK496(X0,X2,X3,X4),X0) )
| ~ r2_hidden(X4,k2_funct_2(X0,X1,X3,X2)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK496]),skolemize(X5,sK496(X0,X2,X3,X4))],[f8785]) ).
fof(f10080,plain,
! [X0,X1,X2,X3,X4] :
( ~ v1_funct_1(X4)
| ~ v1_relat_1(X4)
| ! [X5] :
( ~ v1_funct_1(X5)
| ~ v1_relat_1(X5)
| ( ( ~ r2_hidden(k4_tarski(k4_tarski(X0,X1),k4_tarski(X2,X3)),k1_relat_1(k3_funct_4(X4,X5)))
| ( r2_hidden(k4_tarski(X1,X3),k1_relat_1(X5))
& r2_hidden(k4_tarski(X0,X2),k1_relat_1(X4)) ) )
& ( ~ r2_hidden(k4_tarski(X1,X3),k1_relat_1(X5))
| ~ r2_hidden(k4_tarski(X0,X2),k1_relat_1(X4))
| r2_hidden(k4_tarski(k4_tarski(X0,X1),k4_tarski(X2,X3)),k1_relat_1(k3_funct_4(X4,X5))) ) ) ) ),
inference(nnf_transformation,[],[f8811]) ).
fof(f10081,plain,
! [X0,X1,X2,X3,X4] :
( ~ v1_funct_1(X4)
| ~ v1_relat_1(X4)
| ! [X5] :
( ~ v1_funct_1(X5)
| ~ v1_relat_1(X5)
| ( ( ~ r2_hidden(k4_tarski(k4_tarski(X0,X1),k4_tarski(X2,X3)),k1_relat_1(k3_funct_4(X4,X5)))
| ( r2_hidden(k4_tarski(X1,X3),k1_relat_1(X5))
& r2_hidden(k4_tarski(X0,X2),k1_relat_1(X4)) ) )
& ( ~ r2_hidden(k4_tarski(X1,X3),k1_relat_1(X5))
| ~ r2_hidden(k4_tarski(X0,X2),k1_relat_1(X4))
| r2_hidden(k4_tarski(k4_tarski(X0,X1),k4_tarski(X2,X3)),k1_relat_1(k3_funct_4(X4,X5))) ) ) ) ),
inference(flattening,[],[f10080]) ).
fof(f10085,plain,
! [X0] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ! [X1] :
( ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ! [X2] :
( ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| ( ( k3_funct_4(X0,X1) != X2
| ( ! [X8,X9,X10,X11] :
( ~ r2_hidden(k4_tarski(X10,X11),k1_relat_1(X1))
| ~ r2_hidden(k4_tarski(X8,X9),k1_relat_1(X0))
| k1_funct_1(X2,k4_tarski(k4_tarski(X8,X10),k4_tarski(X9,X11))) = k4_tarski(k1_funct_1(X0,k4_tarski(X8,X9)),k1_funct_1(X1,k4_tarski(X10,X11))) )
& sP28(X0,X1,X2) ) )
& ( ? [X8,X9,X10,X11] :
( r2_hidden(k4_tarski(X10,X11),k1_relat_1(X1))
& r2_hidden(k4_tarski(X8,X9),k1_relat_1(X0))
& k1_funct_1(X2,k4_tarski(k4_tarski(X8,X10),k4_tarski(X9,X11))) != k4_tarski(k1_funct_1(X0,k4_tarski(X8,X9)),k1_funct_1(X1,k4_tarski(X10,X11))) )
| ~ sP28(X0,X1,X2)
| X2 = k3_funct_4(X0,X1) ) ) ) ) ),
inference(nnf_transformation,[],[f9257]) ).
fof(f10086,plain,
! [X0] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ! [X1] :
( ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ! [X2] :
( ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| ( ( k3_funct_4(X0,X1) != X2
| ( ! [X8,X9,X10,X11] :
( ~ r2_hidden(k4_tarski(X10,X11),k1_relat_1(X1))
| ~ r2_hidden(k4_tarski(X8,X9),k1_relat_1(X0))
| k1_funct_1(X2,k4_tarski(k4_tarski(X8,X10),k4_tarski(X9,X11))) = k4_tarski(k1_funct_1(X0,k4_tarski(X8,X9)),k1_funct_1(X1,k4_tarski(X10,X11))) )
& sP28(X0,X1,X2) ) )
& ( ? [X8,X9,X10,X11] :
( r2_hidden(k4_tarski(X10,X11),k1_relat_1(X1))
& r2_hidden(k4_tarski(X8,X9),k1_relat_1(X0))
& k1_funct_1(X2,k4_tarski(k4_tarski(X8,X10),k4_tarski(X9,X11))) != k4_tarski(k1_funct_1(X0,k4_tarski(X8,X9)),k1_funct_1(X1,k4_tarski(X10,X11))) )
| ~ sP28(X0,X1,X2)
| X2 = k3_funct_4(X0,X1) ) ) ) ) ),
inference(flattening,[],[f10085]) ).
fof(f10087,plain,
! [X0] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ! [X1] :
( ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ! [X2] :
( ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| ( ( k3_funct_4(X0,X1) != X2
| ( ! [X7,X8,X9,X10] :
( ~ r2_hidden(k4_tarski(X9,X10),k1_relat_1(X1))
| ~ r2_hidden(k4_tarski(X7,X8),k1_relat_1(X0))
| k1_funct_1(X2,k4_tarski(k4_tarski(X7,X9),k4_tarski(X8,X10))) = k4_tarski(k1_funct_1(X0,k4_tarski(X7,X8)),k1_funct_1(X1,k4_tarski(X9,X10))) )
& sP28(X0,X1,X2) ) )
& ( ? [X3,X4,X5,X6] :
( r2_hidden(k4_tarski(X5,X6),k1_relat_1(X1))
& r2_hidden(k4_tarski(X3,X4),k1_relat_1(X0))
& k1_funct_1(X2,k4_tarski(k4_tarski(X3,X5),k4_tarski(X4,X6))) != k4_tarski(k1_funct_1(X0,k4_tarski(X3,X4)),k1_funct_1(X1,k4_tarski(X5,X6))) )
| ~ sP28(X0,X1,X2)
| X2 = k3_funct_4(X0,X1) ) ) ) ) ),
inference(rectify,[],[f10086]) ).
fof(f10088,plain,
! [X0] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ! [X1] :
( ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ! [X2] :
( ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| ( ( k3_funct_4(X0,X1) != X2
| ( ! [X7,X8,X9,X10] :
( ~ r2_hidden(k4_tarski(X9,X10),k1_relat_1(X1))
| ~ r2_hidden(k4_tarski(X7,X8),k1_relat_1(X0))
| k1_funct_1(X2,k4_tarski(k4_tarski(X7,X9),k4_tarski(X8,X10))) = k4_tarski(k1_funct_1(X0,k4_tarski(X7,X8)),k1_funct_1(X1,k4_tarski(X9,X10))) )
& sP28(X0,X1,X2) ) )
& ( ( r2_hidden(k4_tarski(sK508(X0,X1,X2),sK509(X0,X1,X2)),k1_relat_1(X1))
& r2_hidden(k4_tarski(sK506(X0,X1,X2),sK507(X0,X1,X2)),k1_relat_1(X0))
& k1_funct_1(X2,k4_tarski(k4_tarski(sK506(X0,X1,X2),sK508(X0,X1,X2)),k4_tarski(sK507(X0,X1,X2),sK509(X0,X1,X2)))) != k4_tarski(k1_funct_1(X0,k4_tarski(sK506(X0,X1,X2),sK507(X0,X1,X2))),k1_funct_1(X1,k4_tarski(sK508(X0,X1,X2),sK509(X0,X1,X2)))) )
| ~ sP28(X0,X1,X2)
| X2 = k3_funct_4(X0,X1) ) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK506,sK507,sK508,sK509]),skolemize(X3,sK506(X0,X1,X2)),skolemize(X4,sK507(X0,X1,X2)),skolemize(X5,sK508(X0,X1,X2)),skolemize(X6,sK509(X0,X1,X2))],[f10087]) ).
fof(f10089,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| m2_lattice4(sK510(X0),X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK510]),skolemize(X1,sK510(X0))],[f8815]) ).
fof(f10090,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ( ( ~ m2_lattice4(X1,X0)
| ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| ! [X3] :
( ~ m1_subset_1(X3,u1_struct_0(X0))
| ~ r2_hidden(X3,X1)
| ~ r2_hidden(X2,X1)
| ( r2_hidden(k3_lattices(X0,X2,X3),X1)
& r2_hidden(k4_lattices(X0,X2,X3),X1) ) ) ) )
& ( ? [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
& ? [X3] :
( m1_subset_1(X3,u1_struct_0(X0))
& r2_hidden(X3,X1)
& r2_hidden(X2,X1)
& ( ~ r2_hidden(k3_lattices(X0,X2,X3),X1)
| ~ r2_hidden(k4_lattices(X0,X2,X3),X1) ) ) )
| m2_lattice4(X1,X0) ) ) ) ),
inference(nnf_transformation,[],[f8825]) ).
fof(f10091,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ( ( ~ m2_lattice4(X1,X0)
| ! [X4] :
( ~ m1_subset_1(X4,u1_struct_0(X0))
| ! [X5] :
( ~ m1_subset_1(X5,u1_struct_0(X0))
| ~ r2_hidden(X5,X1)
| ~ r2_hidden(X4,X1)
| ( r2_hidden(k3_lattices(X0,X4,X5),X1)
& r2_hidden(k4_lattices(X0,X4,X5),X1) ) ) ) )
& ( ? [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
& ? [X3] :
( m1_subset_1(X3,u1_struct_0(X0))
& r2_hidden(X3,X1)
& r2_hidden(X2,X1)
& ( ~ r2_hidden(k3_lattices(X0,X2,X3),X1)
| ~ r2_hidden(k4_lattices(X0,X2,X3),X1) ) ) )
| m2_lattice4(X1,X0) ) ) ) ),
inference(rectify,[],[f10090]) ).
fof(f10092,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ( ( ~ m2_lattice4(X1,X0)
| ! [X4] :
( ~ m1_subset_1(X4,u1_struct_0(X0))
| ! [X5] :
( ~ m1_subset_1(X5,u1_struct_0(X0))
| ~ r2_hidden(X5,X1)
| ~ r2_hidden(X4,X1)
| ( r2_hidden(k3_lattices(X0,X4,X5),X1)
& r2_hidden(k4_lattices(X0,X4,X5),X1) ) ) ) )
& ( ( m1_subset_1(sK511(X0,X1),u1_struct_0(X0))
& m1_subset_1(sK512(X0,X1),u1_struct_0(X0))
& r2_hidden(sK512(X0,X1),X1)
& r2_hidden(sK511(X0,X1),X1)
& ( ~ r2_hidden(k3_lattices(X0,sK511(X0,X1),sK512(X0,X1)),X1)
| ~ r2_hidden(k4_lattices(X0,sK511(X0,X1),sK512(X0,X1)),X1) ) )
| m2_lattice4(X1,X0) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK511,sK512]),skolemize(X2,sK511(X0,X1)),skolemize(X3,sK512(X0,X1))],[f10091]) ).
fof(f10093,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ( ~ v1_xboole_0(sK513(X0))
& m2_lattice4(sK513(X0),X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK513]),skolemize(X1,sK513(X0))],[f8827]) ).
fof(f10094,plain,
! [X0] :
( v1_xboole_0(X0)
| ! [X1,X2,X3] :
( ~ m2_relset_1(X3,X0,k5_finsub_1(X1))
| ~ v1_funct_2(X3,X0,k5_finsub_1(X1))
| ~ v1_funct_1(X3)
| ! [X4] :
( ~ m2_relset_1(X4,k5_finsub_1(X1),k5_finsub_1(X2))
| ~ v1_funct_2(X4,k5_finsub_1(X1),k5_finsub_1(X2))
| ~ v1_funct_1(X4)
| ? [X6] :
( m1_subset_1(X6,k5_finsub_1(X1))
& ? [X7] :
( m1_subset_1(X7,k5_finsub_1(X1))
& k8_funct_2(k5_finsub_1(X1),k5_finsub_1(X2),X4,k5_setwiseo(X1,X6,X7)) != k5_setwiseo(X2,k8_funct_2(k5_finsub_1(X1),k5_finsub_1(X2),X4,X6),k8_funct_2(k5_finsub_1(X1),k5_finsub_1(X2),X4,X7)) ) )
| k1_setwiseo(X2) != k8_funct_2(k5_finsub_1(X1),k5_finsub_1(X2),X4,k1_setwiseo(X1))
| ! [X5] :
( ~ m1_subset_1(X5,k5_finsub_1(X0))
| k8_funct_2(k5_finsub_1(X1),k5_finsub_1(X2),X4,k10_setwiseo(X0,X1,X5,X3)) = k10_setwiseo(X0,X2,X5,k7_funct_2(X0,k5_finsub_1(X1),k5_finsub_1(X2),X3,X4)) ) ) ) ),
inference(rectify,[],[f8831]) ).
fof(f10095,plain,
! [X0] :
( v1_xboole_0(X0)
| ! [X1,X2,X3] :
( ~ m2_relset_1(X3,X0,k5_finsub_1(X1))
| ~ v1_funct_2(X3,X0,k5_finsub_1(X1))
| ~ v1_funct_1(X3)
| ! [X4] :
( ~ m2_relset_1(X4,k5_finsub_1(X1),k5_finsub_1(X2))
| ~ v1_funct_2(X4,k5_finsub_1(X1),k5_finsub_1(X2))
| ~ v1_funct_1(X4)
| ( m1_subset_1(sK514(X1,X2,X4),k5_finsub_1(X1))
& m1_subset_1(sK515(X1,X2,X4),k5_finsub_1(X1))
& k8_funct_2(k5_finsub_1(X1),k5_finsub_1(X2),X4,k5_setwiseo(X1,sK514(X1,X2,X4),sK515(X1,X2,X4))) != k5_setwiseo(X2,k8_funct_2(k5_finsub_1(X1),k5_finsub_1(X2),X4,sK514(X1,X2,X4)),k8_funct_2(k5_finsub_1(X1),k5_finsub_1(X2),X4,sK515(X1,X2,X4))) )
| k1_setwiseo(X2) != k8_funct_2(k5_finsub_1(X1),k5_finsub_1(X2),X4,k1_setwiseo(X1))
| ! [X5] :
( ~ m1_subset_1(X5,k5_finsub_1(X0))
| k8_funct_2(k5_finsub_1(X1),k5_finsub_1(X2),X4,k10_setwiseo(X0,X1,X5,X3)) = k10_setwiseo(X0,X2,X5,k7_funct_2(X0,k5_finsub_1(X1),k5_finsub_1(X2),X3,X4)) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK514,sK515]),skolemize(X6,sK514(X1,X2,X4)),skolemize(X7,sK515(X1,X2,X4))],[f10094]) ).
fof(f10096,plain,
! [X0] :
( v1_xboole_0(X0)
| ! [X1] :
( v1_xboole_0(X1)
| ! [X2,X3] :
( ~ m2_relset_1(X3,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X3)
| ~ v1_setwiseo(X3,X1)
| ~ v3_binop_1(X3,X1)
| ~ v2_binop_1(X3,X1)
| ~ v1_binop_1(X3,X1)
| ! [X4] :
( ~ m2_relset_1(X4,X0,k5_finsub_1(X2))
| ~ v1_funct_2(X4,X0,k5_finsub_1(X2))
| ~ v1_funct_1(X4)
| ! [X5] :
( ~ m2_relset_1(X5,k5_finsub_1(X2),X1)
| ~ v1_funct_2(X5,k5_finsub_1(X2),X1)
| ~ v1_funct_1(X5)
| ? [X7] :
( m1_subset_1(X7,k5_finsub_1(X2))
& ? [X8] :
( m1_subset_1(X8,k5_finsub_1(X2))
& k8_funct_2(k5_finsub_1(X2),X1,X5,k5_setwiseo(X2,X7,X8)) != k2_binop_1(X1,X1,X1,X3,k8_funct_2(k5_finsub_1(X2),X1,X5,X7),k8_funct_2(k5_finsub_1(X2),X1,X5,X8)) ) )
| k8_funct_2(k5_finsub_1(X2),X1,X5,k1_setwiseo(X2)) != k3_binop_1(X1,X3)
| ! [X6] :
( ~ m1_subset_1(X6,k5_finsub_1(X0))
| k8_funct_2(k5_finsub_1(X2),X1,X5,k10_setwiseo(X0,X2,X6,X4)) = k7_setwiseo(X0,X1,X3,X6,k7_funct_2(X0,k5_finsub_1(X2),X1,X4,X5)) ) ) ) ) ) ),
inference(rectify,[],[f8833]) ).
fof(f10097,plain,
! [X0] :
( v1_xboole_0(X0)
| ! [X1] :
( v1_xboole_0(X1)
| ! [X2,X3] :
( ~ m2_relset_1(X3,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X3)
| ~ v1_setwiseo(X3,X1)
| ~ v3_binop_1(X3,X1)
| ~ v2_binop_1(X3,X1)
| ~ v1_binop_1(X3,X1)
| ! [X4] :
( ~ m2_relset_1(X4,X0,k5_finsub_1(X2))
| ~ v1_funct_2(X4,X0,k5_finsub_1(X2))
| ~ v1_funct_1(X4)
| ! [X5] :
( ~ m2_relset_1(X5,k5_finsub_1(X2),X1)
| ~ v1_funct_2(X5,k5_finsub_1(X2),X1)
| ~ v1_funct_1(X5)
| ( m1_subset_1(sK516(X1,X2,X3,X5),k5_finsub_1(X2))
& m1_subset_1(sK517(X1,X2,X3,X5),k5_finsub_1(X2))
& k8_funct_2(k5_finsub_1(X2),X1,X5,k5_setwiseo(X2,sK516(X1,X2,X3,X5),sK517(X1,X2,X3,X5))) != k2_binop_1(X1,X1,X1,X3,k8_funct_2(k5_finsub_1(X2),X1,X5,sK516(X1,X2,X3,X5)),k8_funct_2(k5_finsub_1(X2),X1,X5,sK517(X1,X2,X3,X5))) )
| k8_funct_2(k5_finsub_1(X2),X1,X5,k1_setwiseo(X2)) != k3_binop_1(X1,X3)
| ! [X6] :
( ~ m1_subset_1(X6,k5_finsub_1(X0))
| k8_funct_2(k5_finsub_1(X2),X1,X5,k10_setwiseo(X0,X2,X6,X4)) = k7_setwiseo(X0,X1,X3,X6,k7_funct_2(X0,k5_finsub_1(X2),X1,X4,X5)) ) ) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK516,sK517]),skolemize(X7,sK516(X1,X2,X3,X5)),skolemize(X8,sK517(X1,X2,X3,X5))],[f10096]) ).
fof(f10098,plain,
! [X0,X1,X2] :
( ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| ( ( ~ r2_hidden(X1,k1_relat_1(k8_relat_1(X0,X2)))
| ( r2_hidden(k1_funct_1(X2,X1),X0)
& r2_hidden(X1,k1_relat_1(X2)) ) )
& ( ~ r2_hidden(k1_funct_1(X2,X1),X0)
| ~ r2_hidden(X1,k1_relat_1(X2))
| r2_hidden(X1,k1_relat_1(k8_relat_1(X0,X2))) ) ) ),
inference(nnf_transformation,[],[f8869]) ).
fof(f10099,plain,
! [X0,X1,X2] :
( ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| ( ( ~ r2_hidden(X1,k1_relat_1(k8_relat_1(X0,X2)))
| ( r2_hidden(k1_funct_1(X2,X1),X0)
& r2_hidden(X1,k1_relat_1(X2)) ) )
& ( ~ r2_hidden(k1_funct_1(X2,X1),X0)
| ~ r2_hidden(X1,k1_relat_1(X2))
| r2_hidden(X1,k1_relat_1(k8_relat_1(X0,X2))) ) ) ),
inference(flattening,[],[f10098]) ).
fof(f10100,plain,
! [X1,X0,X2] :
( ~ sP30(X1,X0,X2)
| ( ( k8_relat_1(X0,X2) != X1
| sP29(X2,X0,X1) )
& ( ~ sP29(X2,X0,X1)
| X1 = k8_relat_1(X0,X2) ) ) ),
inference(nnf_transformation,[],[f9259]) ).
fof(f10101,plain,
! [X0,X1,X2] :
( ~ sP30(X0,X1,X2)
| ( ( k8_relat_1(X1,X2) != X0
| sP29(X2,X1,X0) )
& ( ~ sP29(X2,X1,X0)
| k8_relat_1(X1,X2) = X0 ) ) ),
inference(rectify,[],[f10100]) ).
fof(f10106,plain,
! [X0,X1,X2] :
( ~ v1_relat_1(X2)
| ( ( ~ r2_hidden(X0,k2_relat_1(k8_relat_1(X1,X2)))
| ( r2_hidden(X0,k2_relat_1(X2))
& r2_hidden(X0,X1) ) )
& ( ~ r2_hidden(X0,k2_relat_1(X2))
| ~ r2_hidden(X0,X1)
| r2_hidden(X0,k2_relat_1(k8_relat_1(X1,X2))) ) ) ),
inference(nnf_transformation,[],[f8905]) ).
fof(f10107,plain,
! [X0,X1,X2] :
( ~ v1_relat_1(X2)
| ( ( ~ r2_hidden(X0,k2_relat_1(k8_relat_1(X1,X2)))
| ( r2_hidden(X0,k2_relat_1(X2))
& r2_hidden(X0,X1) ) )
& ( ~ r2_hidden(X0,k2_relat_1(X2))
| ~ r2_hidden(X0,X1)
| r2_hidden(X0,k2_relat_1(k8_relat_1(X1,X2))) ) ) ),
inference(flattening,[],[f10106]) ).
fof(f10108,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| ! [X2] :
( ~ v1_relat_1(X2)
| ( ( k8_relat_1(X0,X1) != X2
| ! [X3,X4] :
( ( ~ r2_hidden(k4_tarski(X3,X4),X2)
| ( r2_hidden(k4_tarski(X3,X4),X1)
& r2_hidden(X4,X0) ) )
& ( ~ r2_hidden(k4_tarski(X3,X4),X1)
| ~ r2_hidden(X4,X0)
| r2_hidden(k4_tarski(X3,X4),X2) ) ) )
& ( ? [X3,X4] :
( ( r2_hidden(k4_tarski(X3,X4),X2)
| ( r2_hidden(k4_tarski(X3,X4),X1)
& r2_hidden(X4,X0) ) )
& ( ~ r2_hidden(k4_tarski(X3,X4),X2)
| ~ r2_hidden(k4_tarski(X3,X4),X1)
| ~ r2_hidden(X4,X0) ) )
| X2 = k8_relat_1(X0,X1) ) ) ) ),
inference(nnf_transformation,[],[f8906]) ).
fof(f10109,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| ! [X2] :
( ~ v1_relat_1(X2)
| ( ( k8_relat_1(X0,X1) != X2
| ! [X3,X4] :
( ( ~ r2_hidden(k4_tarski(X3,X4),X2)
| ( r2_hidden(k4_tarski(X3,X4),X1)
& r2_hidden(X4,X0) ) )
& ( ~ r2_hidden(k4_tarski(X3,X4),X1)
| ~ r2_hidden(X4,X0)
| r2_hidden(k4_tarski(X3,X4),X2) ) ) )
& ( ? [X3,X4] :
( ( r2_hidden(k4_tarski(X3,X4),X2)
| ( r2_hidden(k4_tarski(X3,X4),X1)
& r2_hidden(X4,X0) ) )
& ( ~ r2_hidden(k4_tarski(X3,X4),X2)
| ~ r2_hidden(k4_tarski(X3,X4),X1)
| ~ r2_hidden(X4,X0) ) )
| X2 = k8_relat_1(X0,X1) ) ) ) ),
inference(flattening,[],[f10108]) ).
fof(f10110,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| ! [X2] :
( ~ v1_relat_1(X2)
| ( ( k8_relat_1(X0,X1) != X2
| ! [X5,X6] :
( ( ~ r2_hidden(k4_tarski(X5,X6),X2)
| ( r2_hidden(k4_tarski(X5,X6),X1)
& r2_hidden(X6,X0) ) )
& ( ~ r2_hidden(k4_tarski(X5,X6),X1)
| ~ r2_hidden(X6,X0)
| r2_hidden(k4_tarski(X5,X6),X2) ) ) )
& ( ? [X3,X4] :
( ( r2_hidden(k4_tarski(X3,X4),X2)
| ( r2_hidden(k4_tarski(X3,X4),X1)
& r2_hidden(X4,X0) ) )
& ( ~ r2_hidden(k4_tarski(X3,X4),X2)
| ~ r2_hidden(k4_tarski(X3,X4),X1)
| ~ r2_hidden(X4,X0) ) )
| X2 = k8_relat_1(X0,X1) ) ) ) ),
inference(rectify,[],[f10109]) ).
fof(f10111,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| ! [X2] :
( ~ v1_relat_1(X2)
| ( ( k8_relat_1(X0,X1) != X2
| ! [X5,X6] :
( ( ~ r2_hidden(k4_tarski(X5,X6),X2)
| ( r2_hidden(k4_tarski(X5,X6),X1)
& r2_hidden(X6,X0) ) )
& ( ~ r2_hidden(k4_tarski(X5,X6),X1)
| ~ r2_hidden(X6,X0)
| r2_hidden(k4_tarski(X5,X6),X2) ) ) )
& ( ( ( r2_hidden(k4_tarski(sK520(X0,X1,X2),sK521(X0,X1,X2)),X2)
| ( r2_hidden(k4_tarski(sK520(X0,X1,X2),sK521(X0,X1,X2)),X1)
& r2_hidden(sK521(X0,X1,X2),X0) ) )
& ( ~ r2_hidden(k4_tarski(sK520(X0,X1,X2),sK521(X0,X1,X2)),X2)
| ~ r2_hidden(k4_tarski(sK520(X0,X1,X2),sK521(X0,X1,X2)),X1)
| ~ r2_hidden(sK521(X0,X1,X2),X0) ) )
| X2 = k8_relat_1(X0,X1) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK520,sK521]),skolemize(X3,sK520(X0,X1,X2)),skolemize(X4,sK521(X0,X1,X2))],[f10110]) ).
fof(f10112,plain,
! [X0] :
( ( ~ v1_finset_1(X0)
| ? [X1] :
( X0 = k2_relat_1(X1)
& v1_finseq_1(X1)
& v1_funct_1(X1)
& v1_relat_1(X1) ) )
& ( ! [X1] :
( k2_relat_1(X1) != X0
| ~ v1_finseq_1(X1)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1) )
| v1_finset_1(X0) ) ),
inference(nnf_transformation,[],[f3337]) ).
fof(f10113,plain,
! [X0] :
( ( ~ v1_finset_1(X0)
| ? [X2] :
( k2_relat_1(X2) = X0
& v1_finseq_1(X2)
& v1_funct_1(X2)
& v1_relat_1(X2) ) )
& ( ! [X1] :
( k2_relat_1(X1) != X0
| ~ v1_finseq_1(X1)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1) )
| v1_finset_1(X0) ) ),
inference(rectify,[],[f10112]) ).
fof(f10114,plain,
! [X0] :
( ( ~ v1_finset_1(X0)
| ( k2_relat_1(sK522(X0)) = X0
& v1_finseq_1(sK522(X0))
& v1_funct_1(sK522(X0))
& v1_relat_1(sK522(X0)) ) )
& ( ! [X1] :
( k2_relat_1(X1) != X0
| ~ v1_finseq_1(X1)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1) )
| v1_finset_1(X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK522]),skolemize(X2,sK522(X0))],[f10113]) ).
fof(f10116,plain,
! [X0] :
( ~ v1_finseq_1(X0)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ( ( np__0 != k3_finseq_1(X0)
| X0 = k1_xboole_0 )
& ( k1_xboole_0 != X0
| k3_finseq_1(X0) = np__0 ) ) ),
inference(nnf_transformation,[],[f8915]) ).
fof(f10117,plain,
( v1_finseq_1(sK523)
& v1_finset_1(sK523)
& v1_funct_1(sK523)
& v1_relat_1(sK523)
& ~ v1_xboole_0(sK523) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK523]),skolemize(X0,sK523)],[f3245]) ).
fof(f10118,plain,
! [X0] :
( v1_finseq_1(sK524(X0))
& v1_finset_1(sK524(X0))
& v1_funct_1(sK524(X0))
& v1_relat_1(sK524(X0))
& m1_relset_1(sK524(X0),k5_numbers,X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK524]),skolemize(X1,sK524(X0))],[f3229]) ).
fof(f10119,plain,
( v1_finseq_1(sK525)
& v1_funct_1(sK525)
& v1_relat_1(sK525) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK525]),skolemize(X0,sK525)],[f3225]) ).
fof(f10120,plain,
! [X0] :
( ~ v1_relat_1(X0)
| ( ( ~ v3_relat_2(X0)
| X0 = k4_relat_1(X0) )
& ( k4_relat_1(X0) != X0
| v3_relat_2(X0) ) ) ),
inference(nnf_transformation,[],[f8936]) ).
fof(f10121,plain,
! [X0] :
( ~ v1_relat_1(X0)
| ! [X1] :
( ~ v1_relat_1(X1)
| ( ( k4_relat_1(X0) != X1
| ! [X2,X3] :
( ( ~ r2_hidden(k4_tarski(X2,X3),X1)
| r2_hidden(k4_tarski(X3,X2),X0) )
& ( ~ r2_hidden(k4_tarski(X3,X2),X0)
| r2_hidden(k4_tarski(X2,X3),X1) ) ) )
& ( ? [X2,X3] :
( ( r2_hidden(k4_tarski(X2,X3),X1)
| r2_hidden(k4_tarski(X3,X2),X0) )
& ( ~ r2_hidden(k4_tarski(X2,X3),X1)
| ~ r2_hidden(k4_tarski(X3,X2),X0) ) )
| X1 = k4_relat_1(X0) ) ) ) ),
inference(nnf_transformation,[],[f8950]) ).
fof(f10122,plain,
! [X0] :
( ~ v1_relat_1(X0)
| ! [X1] :
( ~ v1_relat_1(X1)
| ( ( k4_relat_1(X0) != X1
| ! [X4,X5] :
( ( ~ r2_hidden(k4_tarski(X4,X5),X1)
| r2_hidden(k4_tarski(X5,X4),X0) )
& ( ~ r2_hidden(k4_tarski(X5,X4),X0)
| r2_hidden(k4_tarski(X4,X5),X1) ) ) )
& ( ? [X2,X3] :
( ( r2_hidden(k4_tarski(X2,X3),X1)
| r2_hidden(k4_tarski(X3,X2),X0) )
& ( ~ r2_hidden(k4_tarski(X2,X3),X1)
| ~ r2_hidden(k4_tarski(X3,X2),X0) ) )
| X1 = k4_relat_1(X0) ) ) ) ),
inference(rectify,[],[f10121]) ).
fof(f10123,plain,
! [X0] :
( ~ v1_relat_1(X0)
| ! [X1] :
( ~ v1_relat_1(X1)
| ( ( k4_relat_1(X0) != X1
| ! [X4,X5] :
( ( ~ r2_hidden(k4_tarski(X4,X5),X1)
| r2_hidden(k4_tarski(X5,X4),X0) )
& ( ~ r2_hidden(k4_tarski(X5,X4),X0)
| r2_hidden(k4_tarski(X4,X5),X1) ) ) )
& ( ( ( r2_hidden(k4_tarski(sK526(X0,X1),sK527(X0,X1)),X1)
| r2_hidden(k4_tarski(sK527(X0,X1),sK526(X0,X1)),X0) )
& ( ~ r2_hidden(k4_tarski(sK526(X0,X1),sK527(X0,X1)),X1)
| ~ r2_hidden(k4_tarski(sK527(X0,X1),sK526(X0,X1)),X0) ) )
| X1 = k4_relat_1(X0) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK526,sK527]),skolemize(X2,sK526(X0,X1)),skolemize(X3,sK527(X0,X1))],[f10122]) ).
fof(f10124,plain,
l1_cat_1(sK528),
inference(skolemize,[status(esa),new_symbols(skolem,[sK528]),skolemize(X0,sK528)],[f4447]) ).
fof(f10125,plain,
( v2_cat_1(sK529)
& l1_cat_1(sK529) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK529]),skolemize(X0,sK529)],[f4283]) ).
fof(f10126,plain,
l1_rlvect_1(sK530),
inference(skolemize,[status(esa),new_symbols(skolem,[sK530]),skolemize(X0,sK530)],[f4964]) ).
fof(f10127,plain,
! [X0] :
( ~ l1_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| ( ( k1_rlvect_1(X0) != k2_rlvect_1(X0,X1,X2)
| k5_rlvect_1(X0,X1) = X2 )
& ( k5_rlvect_1(X0,X1) != X2
| k2_rlvect_1(X0,X1,X2) = k1_rlvect_1(X0) ) ) ) ) ),
inference(nnf_transformation,[],[f8961]) ).
fof(f10128,plain,
! [X0] :
( ( ~ sP32(X0)
| ( l1_rlvect_1(X0)
& v6_rlvect_1(X0)
& v5_rlvect_1(X0)
& v4_rlvect_1(X0)
& v3_rlvect_1(X0)
& ~ v3_struct_0(X0) ) )
& ( ~ l1_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0)
| sP32(X0) ) ),
inference(nnf_transformation,[],[f9262]) ).
fof(f10129,plain,
! [X0] :
( ( ~ sP32(X0)
| ( l1_rlvect_1(X0)
& v6_rlvect_1(X0)
& v5_rlvect_1(X0)
& v4_rlvect_1(X0)
& v3_rlvect_1(X0)
& ~ v3_struct_0(X0) ) )
& ( ~ l1_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0)
| sP32(X0) ) ),
inference(flattening,[],[f10128]) ).
fof(f10133,plain,
! [X0] :
( ~ l1_rlvect_1(X0)
| v3_struct_0(X0)
| ( ( ~ sP31(X0)
| sP32(X0) )
& ( ~ sP32(X0)
| sP31(X0) ) ) ),
inference(nnf_transformation,[],[f9263]) ).
fof(f10134,plain,
! [X0] :
( ~ l1_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| ( k2_rlvect_1(X0,X1,sK535(X0,X1,X2)) = X2
& m1_subset_1(sK535(X0,X1,X2),u1_struct_0(X0)) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK535]),skolemize(X3,sK535(X0,X1,X2))],[f8973]) ).
fof(f10135,plain,
! [X0] :
( ~ l1_rlvect_1(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| ( ( k5_rlvect_1(X0,X1) != X2
| k2_rlvect_1(X0,X1,X2) = k1_rlvect_1(X0) )
& ( k1_rlvect_1(X0) != k2_rlvect_1(X0,X1,X2)
| X2 = k5_rlvect_1(X0,X1) ) ) ) ) ),
inference(nnf_transformation,[],[f8979]) ).
fof(f10136,plain,
! [X0] :
( ~ l1_rlvect_1(X0)
| v3_struct_0(X0)
| ( ( ~ v6_rlvect_1(X0)
| ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ? [X2] :
( k2_rlvect_1(X0,X1,X2) = k1_rlvect_1(X0)
& m1_subset_1(X2,u1_struct_0(X0)) ) ) )
& ( ? [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
& ! [X2] :
( k1_rlvect_1(X0) != k2_rlvect_1(X0,X1,X2)
| ~ m1_subset_1(X2,u1_struct_0(X0)) ) )
| v6_rlvect_1(X0) ) ) ),
inference(nnf_transformation,[],[f8983]) ).
fof(f10137,plain,
! [X0] :
( ~ l1_rlvect_1(X0)
| v3_struct_0(X0)
| ( ( ~ v6_rlvect_1(X0)
| ! [X3] :
( ~ m1_subset_1(X3,u1_struct_0(X0))
| ? [X4] :
( k1_rlvect_1(X0) = k2_rlvect_1(X0,X3,X4)
& m1_subset_1(X4,u1_struct_0(X0)) ) ) )
& ( ? [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
& ! [X2] :
( k1_rlvect_1(X0) != k2_rlvect_1(X0,X1,X2)
| ~ m1_subset_1(X2,u1_struct_0(X0)) ) )
| v6_rlvect_1(X0) ) ) ),
inference(rectify,[],[f10136]) ).
fof(f10138,plain,
! [X0] :
( ~ l1_rlvect_1(X0)
| v3_struct_0(X0)
| ( ( ~ v6_rlvect_1(X0)
| ! [X3] :
( ~ m1_subset_1(X3,u1_struct_0(X0))
| ( k1_rlvect_1(X0) = k2_rlvect_1(X0,X3,sK537(X0,X3))
& m1_subset_1(sK537(X0,X3),u1_struct_0(X0)) ) ) )
& ( ( m1_subset_1(sK536(X0),u1_struct_0(X0))
& ! [X2] :
( k1_rlvect_1(X0) != k2_rlvect_1(X0,sK536(X0),X2)
| ~ m1_subset_1(X2,u1_struct_0(X0)) ) )
| v6_rlvect_1(X0) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK536,sK537]),skolemize(X1,sK536(X0)),skolemize(X4,sK537(X0,X3))],[f10137]) ).
fof(f10139,plain,
! [X0] :
( ~ l1_rlvect_1(X0)
| v3_struct_0(X0)
| ( ( ~ v5_rlvect_1(X0)
| ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| k2_rlvect_1(X0,X1,k1_rlvect_1(X0)) = X1 ) )
& ( ? [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
& k2_rlvect_1(X0,X1,k1_rlvect_1(X0)) != X1 )
| v5_rlvect_1(X0) ) ) ),
inference(nnf_transformation,[],[f8985]) ).
fof(f10140,plain,
! [X0] :
( ~ l1_rlvect_1(X0)
| v3_struct_0(X0)
| ( ( ~ v5_rlvect_1(X0)
| ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| k2_rlvect_1(X0,X2,k1_rlvect_1(X0)) = X2 ) )
& ( ? [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
& k2_rlvect_1(X0,X1,k1_rlvect_1(X0)) != X1 )
| v5_rlvect_1(X0) ) ) ),
inference(rectify,[],[f10139]) ).
fof(f10141,plain,
! [X0] :
( ~ l1_rlvect_1(X0)
| v3_struct_0(X0)
| ( ( ~ v5_rlvect_1(X0)
| ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| k2_rlvect_1(X0,X2,k1_rlvect_1(X0)) = X2 ) )
& ( ( m1_subset_1(sK538(X0),u1_struct_0(X0))
& sK538(X0) != k2_rlvect_1(X0,sK538(X0),k1_rlvect_1(X0)) )
| v5_rlvect_1(X0) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK538]),skolemize(X1,sK538(X0))],[f10140]) ).
fof(f10142,plain,
! [X0] :
( ~ l1_rlvect_1(X0)
| v3_struct_0(X0)
| ( ( ~ v4_rlvect_1(X0)
| ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| ! [X3] :
( ~ m1_subset_1(X3,u1_struct_0(X0))
| k2_rlvect_1(X0,k2_rlvect_1(X0,X1,X2),X3) = k2_rlvect_1(X0,X1,k2_rlvect_1(X0,X2,X3)) ) ) ) )
& ( ? [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
& ? [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
& ? [X3] :
( m1_subset_1(X3,u1_struct_0(X0))
& k2_rlvect_1(X0,k2_rlvect_1(X0,X1,X2),X3) != k2_rlvect_1(X0,X1,k2_rlvect_1(X0,X2,X3)) ) ) )
| v4_rlvect_1(X0) ) ) ),
inference(nnf_transformation,[],[f8987]) ).
fof(f10143,plain,
! [X0] :
( ~ l1_rlvect_1(X0)
| v3_struct_0(X0)
| ( ( ~ v4_rlvect_1(X0)
| ! [X4] :
( ~ m1_subset_1(X4,u1_struct_0(X0))
| ! [X5] :
( ~ m1_subset_1(X5,u1_struct_0(X0))
| ! [X6] :
( ~ m1_subset_1(X6,u1_struct_0(X0))
| k2_rlvect_1(X0,k2_rlvect_1(X0,X4,X5),X6) = k2_rlvect_1(X0,X4,k2_rlvect_1(X0,X5,X6)) ) ) ) )
& ( ? [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
& ? [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
& ? [X3] :
( m1_subset_1(X3,u1_struct_0(X0))
& k2_rlvect_1(X0,k2_rlvect_1(X0,X1,X2),X3) != k2_rlvect_1(X0,X1,k2_rlvect_1(X0,X2,X3)) ) ) )
| v4_rlvect_1(X0) ) ) ),
inference(rectify,[],[f10142]) ).
fof(f10144,plain,
! [X0] :
( ~ l1_rlvect_1(X0)
| v3_struct_0(X0)
| ( ( ~ v4_rlvect_1(X0)
| ! [X4] :
( ~ m1_subset_1(X4,u1_struct_0(X0))
| ! [X5] :
( ~ m1_subset_1(X5,u1_struct_0(X0))
| ! [X6] :
( ~ m1_subset_1(X6,u1_struct_0(X0))
| k2_rlvect_1(X0,k2_rlvect_1(X0,X4,X5),X6) = k2_rlvect_1(X0,X4,k2_rlvect_1(X0,X5,X6)) ) ) ) )
& ( ( m1_subset_1(sK539(X0),u1_struct_0(X0))
& m1_subset_1(sK540(X0),u1_struct_0(X0))
& m1_subset_1(sK541(X0),u1_struct_0(X0))
& k2_rlvect_1(X0,k2_rlvect_1(X0,sK539(X0),sK540(X0)),sK541(X0)) != k2_rlvect_1(X0,sK539(X0),k2_rlvect_1(X0,sK540(X0),sK541(X0))) )
| v4_rlvect_1(X0) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK539,sK540,sK541]),skolemize(X1,sK539(X0)),skolemize(X2,sK540(X0)),skolemize(X3,sK541(X0))],[f10143]) ).
fof(f10145,plain,
! [X0] :
( ~ l1_rlvect_1(X0)
| v3_struct_0(X0)
| ( ( ~ v3_rlvect_1(X0)
| ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| k2_rlvect_1(X0,X1,X2) = k2_rlvect_1(X0,X2,X1) ) ) )
& ( ? [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
& ? [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
& k2_rlvect_1(X0,X1,X2) != k2_rlvect_1(X0,X2,X1) ) )
| v3_rlvect_1(X0) ) ) ),
inference(nnf_transformation,[],[f8989]) ).
fof(f10146,plain,
! [X0] :
( ~ l1_rlvect_1(X0)
| v3_struct_0(X0)
| ( ( ~ v3_rlvect_1(X0)
| ! [X3] :
( ~ m1_subset_1(X3,u1_struct_0(X0))
| ! [X4] :
( ~ m1_subset_1(X4,u1_struct_0(X0))
| k2_rlvect_1(X0,X3,X4) = k2_rlvect_1(X0,X4,X3) ) ) )
& ( ? [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
& ? [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
& k2_rlvect_1(X0,X1,X2) != k2_rlvect_1(X0,X2,X1) ) )
| v3_rlvect_1(X0) ) ) ),
inference(rectify,[],[f10145]) ).
fof(f10147,plain,
! [X0] :
( ~ l1_rlvect_1(X0)
| v3_struct_0(X0)
| ( ( ~ v3_rlvect_1(X0)
| ! [X3] :
( ~ m1_subset_1(X3,u1_struct_0(X0))
| ! [X4] :
( ~ m1_subset_1(X4,u1_struct_0(X0))
| k2_rlvect_1(X0,X3,X4) = k2_rlvect_1(X0,X4,X3) ) ) )
& ( ( m1_subset_1(sK542(X0),u1_struct_0(X0))
& m1_subset_1(sK543(X0),u1_struct_0(X0))
& k2_rlvect_1(X0,sK542(X0),sK543(X0)) != k2_rlvect_1(X0,sK543(X0),sK542(X0)) )
| v3_rlvect_1(X0) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK542,sK543]),skolemize(X1,sK542(X0)),skolemize(X2,sK543(X0))],[f10146]) ).
fof(f10148,plain,
! [X0] :
( v1_xboole_0(X0)
| ! [X1] :
( v1_xboole_0(X1)
| ! [X2] :
( ~ m1_subset_1(X2,X0)
| ! [X3] :
( ~ m1_subset_1(X3,X1)
| ! [X4] :
( ~ m2_relset_1(X4,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X4,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X4)
| ! [X5] :
( ~ m2_relset_1(X5,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X5,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X5)
| ( ( ~ r2_binop_1(X1,X3,X5)
| ~ r2_binop_1(X0,X2,X4)
| r2_binop_1(k2_zfmisc_1(X0,X1),k1_domain_1(X0,X1,X2,X3),k7_filter_1(X0,X1,X4,X5)) )
& ( ~ r2_binop_1(k2_zfmisc_1(X0,X1),k1_domain_1(X0,X1,X2,X3),k7_filter_1(X0,X1,X4,X5))
| ( r2_binop_1(X1,X3,X5)
& r2_binop_1(X0,X2,X4) ) ) ) ) ) ) ) ) ),
inference(nnf_transformation,[],[f8994]) ).
fof(f10149,plain,
! [X0] :
( v1_xboole_0(X0)
| ! [X1] :
( v1_xboole_0(X1)
| ! [X2] :
( ~ m1_subset_1(X2,X0)
| ! [X3] :
( ~ m1_subset_1(X3,X1)
| ! [X4] :
( ~ m2_relset_1(X4,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X4,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X4)
| ! [X5] :
( ~ m2_relset_1(X5,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X5,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X5)
| ( ( ~ r2_binop_1(X1,X3,X5)
| ~ r2_binop_1(X0,X2,X4)
| r2_binop_1(k2_zfmisc_1(X0,X1),k1_domain_1(X0,X1,X2,X3),k7_filter_1(X0,X1,X4,X5)) )
& ( ~ r2_binop_1(k2_zfmisc_1(X0,X1),k1_domain_1(X0,X1,X2,X3),k7_filter_1(X0,X1,X4,X5))
| ( r2_binop_1(X1,X3,X5)
& r2_binop_1(X0,X2,X4) ) ) ) ) ) ) ) ) ),
inference(flattening,[],[f10148]) ).
fof(f10150,plain,
! [X0] :
( v1_xboole_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,X0)
| ! [X2] :
( ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ( ( ~ r2_binop_1(X0,X1,X2)
| ! [X3] :
( ~ m1_subset_1(X3,X0)
| k2_binop_1(X0,X0,X0,X2,X3,X1) = X3 ) )
& ( ? [X3] :
( m1_subset_1(X3,X0)
& k2_binop_1(X0,X0,X0,X2,X3,X1) != X3 )
| r2_binop_1(X0,X1,X2) ) ) ) ) ),
inference(nnf_transformation,[],[f8996]) ).
fof(f10151,plain,
! [X0] :
( v1_xboole_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,X0)
| ! [X2] :
( ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ( ( ~ r2_binop_1(X0,X1,X2)
| ! [X4] :
( ~ m1_subset_1(X4,X0)
| k2_binop_1(X0,X0,X0,X2,X4,X1) = X4 ) )
& ( ? [X3] :
( m1_subset_1(X3,X0)
& k2_binop_1(X0,X0,X0,X2,X3,X1) != X3 )
| r2_binop_1(X0,X1,X2) ) ) ) ) ),
inference(rectify,[],[f10150]) ).
fof(f10152,plain,
! [X0] :
( v1_xboole_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,X0)
| ! [X2] :
( ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ( ( ~ r2_binop_1(X0,X1,X2)
| ! [X4] :
( ~ m1_subset_1(X4,X0)
| k2_binop_1(X0,X0,X0,X2,X4,X1) = X4 ) )
& ( ( m1_subset_1(sK544(X0,X1,X2),X0)
& sK544(X0,X1,X2) != k2_binop_1(X0,X0,X0,X2,sK544(X0,X1,X2),X1) )
| r2_binop_1(X0,X1,X2) ) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK544]),skolemize(X3,sK544(X0,X1,X2))],[f10151]) ).
fof(f10153,plain,
! [X0,X1] :
( ~ m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| ! [X2] :
( ~ m1_subset_1(X2,X0)
| ~ v1_binop_1(X1,X0)
| ( ( ~ r1_binop_1(X0,X2,X1)
| r2_binop_1(X0,X2,X1) )
& ( ~ r2_binop_1(X0,X2,X1)
| r1_binop_1(X0,X2,X1) ) ) ) ),
inference(nnf_transformation,[],[f9000]) ).
fof(f10154,plain,
! [X0,X1] :
( ~ m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| ! [X2] :
( ~ m1_subset_1(X2,X0)
| ~ v1_binop_1(X1,X0)
| ( ( ~ r3_binop_1(X0,X2,X1)
| r2_binop_1(X0,X2,X1) )
& ( ~ r2_binop_1(X0,X2,X1)
| r3_binop_1(X0,X2,X1) ) ) ) ),
inference(nnf_transformation,[],[f9002]) ).
fof(f10155,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,X0)
| ! [X2] :
( ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ( ( ~ r3_binop_1(X0,X1,X2)
| ( r2_binop_1(X0,X1,X2)
& r1_binop_1(X0,X1,X2) ) )
& ( ~ r2_binop_1(X0,X1,X2)
| ~ r1_binop_1(X0,X1,X2)
| r3_binop_1(X0,X1,X2) ) ) ) ),
inference(nnf_transformation,[],[f9004]) ).
fof(f10156,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,X0)
| ! [X2] :
( ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ( ( ~ r3_binop_1(X0,X1,X2)
| ( r2_binop_1(X0,X1,X2)
& r1_binop_1(X0,X1,X2) ) )
& ( ~ r2_binop_1(X0,X1,X2)
| ~ r1_binop_1(X0,X1,X2)
| r3_binop_1(X0,X1,X2) ) ) ) ),
inference(flattening,[],[f10155]) ).
fof(f10157,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,X0)
| ! [X2] :
( ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ( ( ~ r2_binop_1(X0,X1,X2)
| ! [X3] :
( ~ m1_subset_1(X3,X0)
| k1_binop_1(X2,X3,X1) = X3 ) )
& ( ? [X3] :
( m1_subset_1(X3,X0)
& k1_binop_1(X2,X3,X1) != X3 )
| r2_binop_1(X0,X1,X2) ) ) ) ),
inference(nnf_transformation,[],[f9006]) ).
fof(f10158,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,X0)
| ! [X2] :
( ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ( ( ~ r2_binop_1(X0,X1,X2)
| ! [X4] :
( ~ m1_subset_1(X4,X0)
| k1_binop_1(X2,X4,X1) = X4 ) )
& ( ? [X3] :
( m1_subset_1(X3,X0)
& k1_binop_1(X2,X3,X1) != X3 )
| r2_binop_1(X0,X1,X2) ) ) ) ),
inference(rectify,[],[f10157]) ).
fof(f10159,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,X0)
| ! [X2] :
( ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ( ( ~ r2_binop_1(X0,X1,X2)
| ! [X4] :
( ~ m1_subset_1(X4,X0)
| k1_binop_1(X2,X4,X1) = X4 ) )
& ( ( m1_subset_1(sK545(X0,X1,X2),X0)
& sK545(X0,X1,X2) != k1_binop_1(X2,sK545(X0,X1,X2),X1) )
| r2_binop_1(X0,X1,X2) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK545]),skolemize(X3,sK545(X0,X1,X2))],[f10158]) ).
fof(f10160,plain,
! [X0] :
( v1_xboole_0(X0)
| ! [X1] :
( v1_xboole_0(X1)
| ! [X2] :
( ~ m1_subset_1(X2,X0)
| ! [X3] :
( ~ m1_subset_1(X3,X1)
| ! [X4] :
( ~ m2_relset_1(X4,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X4,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X4)
| ! [X5] :
( ~ m2_relset_1(X5,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X5,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X5)
| ( ( ~ r1_binop_1(X1,X3,X5)
| ~ r1_binop_1(X0,X2,X4)
| r1_binop_1(k2_zfmisc_1(X0,X1),k1_domain_1(X0,X1,X2,X3),k7_filter_1(X0,X1,X4,X5)) )
& ( ~ r1_binop_1(k2_zfmisc_1(X0,X1),k1_domain_1(X0,X1,X2,X3),k7_filter_1(X0,X1,X4,X5))
| ( r1_binop_1(X1,X3,X5)
& r1_binop_1(X0,X2,X4) ) ) ) ) ) ) ) ) ),
inference(nnf_transformation,[],[f9008]) ).
fof(f10161,plain,
! [X0] :
( v1_xboole_0(X0)
| ! [X1] :
( v1_xboole_0(X1)
| ! [X2] :
( ~ m1_subset_1(X2,X0)
| ! [X3] :
( ~ m1_subset_1(X3,X1)
| ! [X4] :
( ~ m2_relset_1(X4,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X4,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X4)
| ! [X5] :
( ~ m2_relset_1(X5,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X5,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X5)
| ( ( ~ r1_binop_1(X1,X3,X5)
| ~ r1_binop_1(X0,X2,X4)
| r1_binop_1(k2_zfmisc_1(X0,X1),k1_domain_1(X0,X1,X2,X3),k7_filter_1(X0,X1,X4,X5)) )
& ( ~ r1_binop_1(k2_zfmisc_1(X0,X1),k1_domain_1(X0,X1,X2,X3),k7_filter_1(X0,X1,X4,X5))
| ( r1_binop_1(X1,X3,X5)
& r1_binop_1(X0,X2,X4) ) ) ) ) ) ) ) ) ),
inference(flattening,[],[f10160]) ).
fof(f10162,plain,
! [X0] :
( v1_xboole_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,X0)
| ! [X2] :
( ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ( ( ~ r1_binop_1(X0,X1,X2)
| ! [X3] :
( ~ m1_subset_1(X3,X0)
| k2_binop_1(X0,X0,X0,X2,X1,X3) = X3 ) )
& ( ? [X3] :
( m1_subset_1(X3,X0)
& k2_binop_1(X0,X0,X0,X2,X1,X3) != X3 )
| r1_binop_1(X0,X1,X2) ) ) ) ) ),
inference(nnf_transformation,[],[f9010]) ).
fof(f10163,plain,
! [X0] :
( v1_xboole_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,X0)
| ! [X2] :
( ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ( ( ~ r1_binop_1(X0,X1,X2)
| ! [X4] :
( ~ m1_subset_1(X4,X0)
| k2_binop_1(X0,X0,X0,X2,X1,X4) = X4 ) )
& ( ? [X3] :
( m1_subset_1(X3,X0)
& k2_binop_1(X0,X0,X0,X2,X1,X3) != X3 )
| r1_binop_1(X0,X1,X2) ) ) ) ) ),
inference(rectify,[],[f10162]) ).
fof(f10164,plain,
! [X0] :
( v1_xboole_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,X0)
| ! [X2] :
( ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ( ( ~ r1_binop_1(X0,X1,X2)
| ! [X4] :
( ~ m1_subset_1(X4,X0)
| k2_binop_1(X0,X0,X0,X2,X1,X4) = X4 ) )
& ( ( m1_subset_1(sK546(X0,X1,X2),X0)
& sK546(X0,X1,X2) != k2_binop_1(X0,X0,X0,X2,X1,sK546(X0,X1,X2)) )
| r1_binop_1(X0,X1,X2) ) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK546]),skolemize(X3,sK546(X0,X1,X2))],[f10163]) ).
fof(f10165,plain,
! [X0,X1] :
( ~ m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| ! [X2] :
( ~ m1_subset_1(X2,X0)
| ~ v1_binop_1(X1,X0)
| ( ( ~ r3_binop_1(X0,X2,X1)
| r1_binop_1(X0,X2,X1) )
& ( ~ r1_binop_1(X0,X2,X1)
| r3_binop_1(X0,X2,X1) ) ) ) ),
inference(nnf_transformation,[],[f9012]) ).
fof(f10166,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,X0)
| ! [X2] :
( ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ( ( ~ r1_binop_1(X0,X1,X2)
| ! [X3] :
( ~ m1_subset_1(X3,X0)
| k1_binop_1(X2,X1,X3) = X3 ) )
& ( ? [X3] :
( m1_subset_1(X3,X0)
& k1_binop_1(X2,X1,X3) != X3 )
| r1_binop_1(X0,X1,X2) ) ) ) ),
inference(nnf_transformation,[],[f9014]) ).
fof(f10167,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,X0)
| ! [X2] :
( ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ( ( ~ r1_binop_1(X0,X1,X2)
| ! [X4] :
( ~ m1_subset_1(X4,X0)
| k1_binop_1(X2,X1,X4) = X4 ) )
& ( ? [X3] :
( m1_subset_1(X3,X0)
& k1_binop_1(X2,X1,X3) != X3 )
| r1_binop_1(X0,X1,X2) ) ) ) ),
inference(rectify,[],[f10166]) ).
fof(f10168,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,X0)
| ! [X2] :
( ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ( ( ~ r1_binop_1(X0,X1,X2)
| ! [X4] :
( ~ m1_subset_1(X4,X0)
| k1_binop_1(X2,X1,X4) = X4 ) )
& ( ( m1_subset_1(sK547(X0,X1,X2),X0)
& sK547(X0,X1,X2) != k1_binop_1(X2,X1,sK547(X0,X1,X2)) )
| r1_binop_1(X0,X1,X2) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK547]),skolemize(X3,sK547(X0,X1,X2))],[f10167]) ).
fof(f10169,plain,
! [X0,X1] :
( ( ~ r1_tarski(k6_partfun1(X0),k6_partfun1(X1))
| r1_tarski(X0,X1) )
& ( ~ r1_tarski(X0,X1)
| r1_tarski(k6_partfun1(X0),k6_partfun1(X1)) ) ),
inference(nnf_transformation,[],[f2098]) ).
fof(f10170,plain,
! [X0] :
( v3_ordinal1(sK548(X0))
& ~ r2_hidden(sK548(X0),X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK548]),skolemize(X1,sK548(X0))],[f9022]) ).
fof(f10171,plain,
! [X0] :
? [X1] :
( ( r2_hidden(X1,X0)
| v3_ordinal1(X1) )
& ( ~ r2_hidden(X1,X0)
| ~ v3_ordinal1(X1) ) ),
inference(nnf_transformation,[],[f9023]) ).
fof(f10172,plain,
! [X0] :
( ( r2_hidden(sK549(X0),X0)
| v3_ordinal1(sK549(X0)) )
& ( ~ r2_hidden(sK549(X0),X0)
| ~ v3_ordinal1(sK549(X0)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK549]),skolemize(X1,sK549(X0))],[f10171]) ).
fof(f10173,plain,
! [X0] :
( ( v3_ordinal1(sK551(X0))
& r1_tarski(X0,sK551(X0)) )
| ( r2_hidden(sK550(X0),X0)
& ~ v3_ordinal1(sK550(X0)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK550,sK551]),skolemize(X1,sK550(X0)),skolemize(X2,sK551(X0))],[f9024]) ).
fof(f10174,plain,
! [X0] :
( ( r2_hidden(sK552(X0),X0)
& ( ~ r1_tarski(sK552(X0),X0)
| ~ v3_ordinal1(sK552(X0)) ) )
| v3_ordinal1(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK552]),skolemize(X1,sK552(X0))],[f9025]) ).
fof(f10175,plain,
! [X0] :
( ~ v3_ordinal1(X0)
| ( ( ~ v4_ordinal1(X0)
| ! [X2] :
( k1_ordinal1(X2) != X0
| ~ v3_ordinal1(X2) ) )
& ( ( v3_ordinal1(sK553(X0))
& k1_ordinal1(sK553(X0)) = X0 )
| v4_ordinal1(X0) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK553]),skolemize(X1,sK553(X0))],[f9032]) ).
fof(f10176,plain,
! [X0] :
( ~ v3_ordinal1(X0)
| ( ( ~ v4_ordinal1(X0)
| ! [X1] :
( ~ v3_ordinal1(X1)
| ~ r2_hidden(X1,X0)
| r2_hidden(k1_ordinal1(X1),X0) ) )
& ( ? [X1] :
( v3_ordinal1(X1)
& r2_hidden(X1,X0)
& ~ r2_hidden(k1_ordinal1(X1),X0) )
| v4_ordinal1(X0) ) ) ),
inference(nnf_transformation,[],[f9034]) ).
fof(f10177,plain,
! [X0] :
( ~ v3_ordinal1(X0)
| ( ( ~ v4_ordinal1(X0)
| ! [X2] :
( ~ v3_ordinal1(X2)
| ~ r2_hidden(X2,X0)
| r2_hidden(k1_ordinal1(X2),X0) ) )
& ( ? [X1] :
( v3_ordinal1(X1)
& r2_hidden(X1,X0)
& ~ r2_hidden(k1_ordinal1(X1),X0) )
| v4_ordinal1(X0) ) ) ),
inference(rectify,[],[f10176]) ).
fof(f10178,plain,
! [X0] :
( ~ v3_ordinal1(X0)
| ( ( ~ v4_ordinal1(X0)
| ! [X2] :
( ~ v3_ordinal1(X2)
| ~ r2_hidden(X2,X0)
| r2_hidden(k1_ordinal1(X2),X0) ) )
& ( ( v3_ordinal1(sK554(X0))
& r2_hidden(sK554(X0),X0)
& ~ r2_hidden(k1_ordinal1(sK554(X0)),X0) )
| v4_ordinal1(X0) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK554]),skolemize(X1,sK554(X0))],[f10177]) ).
fof(f10182,plain,
! [X0] : m2_finseq_1(sK556(X0),X0),
inference(skolemize,[status(esa),new_symbols(skolem,[sK556]),skolemize(X1,sK556(X0))],[f3361]) ).
fof(f10183,plain,
! [X0,X1] :
( ~ v4_finsub_1(X1)
| ( ( k5_finsub_1(X0) != X1
| ! [X2] :
( ( ~ r2_hidden(X2,X1)
| ( v1_finset_1(X2)
& r1_tarski(X2,X0) ) )
& ( ~ v1_finset_1(X2)
| ~ r1_tarski(X2,X0)
| r2_hidden(X2,X1) ) ) )
& ( ? [X2] :
( ( r2_hidden(X2,X1)
| ( v1_finset_1(X2)
& r1_tarski(X2,X0) ) )
& ( ~ r2_hidden(X2,X1)
| ~ v1_finset_1(X2)
| ~ r1_tarski(X2,X0) ) )
| X1 = k5_finsub_1(X0) ) ) ),
inference(nnf_transformation,[],[f9091]) ).
fof(f10184,plain,
! [X0,X1] :
( ~ v4_finsub_1(X1)
| ( ( k5_finsub_1(X0) != X1
| ! [X2] :
( ( ~ r2_hidden(X2,X1)
| ( v1_finset_1(X2)
& r1_tarski(X2,X0) ) )
& ( ~ v1_finset_1(X2)
| ~ r1_tarski(X2,X0)
| r2_hidden(X2,X1) ) ) )
& ( ? [X2] :
( ( r2_hidden(X2,X1)
| ( v1_finset_1(X2)
& r1_tarski(X2,X0) ) )
& ( ~ r2_hidden(X2,X1)
| ~ v1_finset_1(X2)
| ~ r1_tarski(X2,X0) ) )
| X1 = k5_finsub_1(X0) ) ) ),
inference(flattening,[],[f10183]) ).
fof(f10185,plain,
! [X0,X1] :
( ~ v4_finsub_1(X1)
| ( ( k5_finsub_1(X0) != X1
| ! [X3] :
( ( ~ r2_hidden(X3,X1)
| ( v1_finset_1(X3)
& r1_tarski(X3,X0) ) )
& ( ~ v1_finset_1(X3)
| ~ r1_tarski(X3,X0)
| r2_hidden(X3,X1) ) ) )
& ( ? [X2] :
( ( r2_hidden(X2,X1)
| ( v1_finset_1(X2)
& r1_tarski(X2,X0) ) )
& ( ~ r2_hidden(X2,X1)
| ~ v1_finset_1(X2)
| ~ r1_tarski(X2,X0) ) )
| X1 = k5_finsub_1(X0) ) ) ),
inference(rectify,[],[f10184]) ).
fof(f10186,plain,
! [X0,X1] :
( ~ v4_finsub_1(X1)
| ( ( k5_finsub_1(X0) != X1
| ! [X3] :
( ( ~ r2_hidden(X3,X1)
| ( v1_finset_1(X3)
& r1_tarski(X3,X0) ) )
& ( ~ v1_finset_1(X3)
| ~ r1_tarski(X3,X0)
| r2_hidden(X3,X1) ) ) )
& ( ( ( r2_hidden(sK557(X0,X1),X1)
| ( v1_finset_1(sK557(X0,X1))
& r1_tarski(sK557(X0,X1),X0) ) )
& ( ~ r2_hidden(sK557(X0,X1),X1)
| ~ v1_finset_1(sK557(X0,X1))
| ~ r1_tarski(sK557(X0,X1),X0) ) )
| X1 = k5_finsub_1(X0) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK557]),skolemize(X2,sK557(X0,X1))],[f10185]) ).
fof(f10187,plain,
! [X0] :
( ( ~ v4_finsub_1(X0)
| ! [X1,X2] :
( ~ r2_hidden(X2,X0)
| ~ r2_hidden(X1,X0)
| ( r2_hidden(k4_xboole_0(X1,X2),X0)
& r2_hidden(k2_xboole_0(X1,X2),X0) ) ) )
& ( ? [X1,X2] :
( r2_hidden(X2,X0)
& r2_hidden(X1,X0)
& ( ~ r2_hidden(k4_xboole_0(X1,X2),X0)
| ~ r2_hidden(k2_xboole_0(X1,X2),X0) ) )
| v4_finsub_1(X0) ) ),
inference(nnf_transformation,[],[f9099]) ).
fof(f10188,plain,
! [X0] :
( ( ~ v4_finsub_1(X0)
| ! [X3,X4] :
( ~ r2_hidden(X4,X0)
| ~ r2_hidden(X3,X0)
| ( r2_hidden(k4_xboole_0(X3,X4),X0)
& r2_hidden(k2_xboole_0(X3,X4),X0) ) ) )
& ( ? [X1,X2] :
( r2_hidden(X2,X0)
& r2_hidden(X1,X0)
& ( ~ r2_hidden(k4_xboole_0(X1,X2),X0)
| ~ r2_hidden(k2_xboole_0(X1,X2),X0) ) )
| v4_finsub_1(X0) ) ),
inference(rectify,[],[f10187]) ).
fof(f10189,plain,
! [X0] :
( ( ~ v4_finsub_1(X0)
| ! [X3,X4] :
( ~ r2_hidden(X4,X0)
| ~ r2_hidden(X3,X0)
| ( r2_hidden(k4_xboole_0(X3,X4),X0)
& r2_hidden(k2_xboole_0(X3,X4),X0) ) ) )
& ( ( r2_hidden(sK559(X0),X0)
& r2_hidden(sK558(X0),X0)
& ( ~ r2_hidden(k4_xboole_0(sK558(X0),sK559(X0)),X0)
| ~ r2_hidden(k2_xboole_0(sK558(X0),sK559(X0)),X0) ) )
| v4_finsub_1(X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK558,sK559]),skolemize(X1,sK558(X0)),skolemize(X2,sK559(X0))],[f10188]) ).
fof(f10194,plain,
! [X0,X1,X2,X3,X4] :
( ( k2_enumset1(X0,X1,X2,X3) != X4
| sP33(X0,X1,X2,X3,X4) )
& ( ~ sP33(X0,X1,X2,X3,X4)
| X4 = k2_enumset1(X0,X1,X2,X3) ) ),
inference(nnf_transformation,[],[f9265]) ).
fof(f10195,plain,
! [X0] :
( ( m2_subset_1(sK561(X0),k1_numbers,k5_numbers)
& r2_wellord2(X0,sK561(X0)) )
| ~ v1_finset_1(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK561]),skolemize(X1,sK561(X0))],[f9119]) ).
fof(f10196,plain,
! [X0,X1] :
( ( ~ r2_wellord2(X0,k1_tarski(X1))
| ? [X2] : X0 = k1_tarski(X2) )
& ( ! [X2] : k1_tarski(X2) != X0
| r2_wellord2(X0,k1_tarski(X1)) ) ),
inference(nnf_transformation,[],[f3176]) ).
fof(f10197,plain,
! [X0,X1] :
( ( ~ r2_wellord2(X0,k1_tarski(X1))
| ? [X3] : k1_tarski(X3) = X0 )
& ( ! [X2] : k1_tarski(X2) != X0
| r2_wellord2(X0,k1_tarski(X1)) ) ),
inference(rectify,[],[f10196]) ).
fof(f10198,plain,
! [X0,X1] :
( ( ~ r2_wellord2(X0,k1_tarski(X1))
| k1_tarski(sK562(X0)) = X0 )
& ( ! [X2] : k1_tarski(X2) != X0
| r2_wellord2(X0,k1_tarski(X1)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK562]),skolemize(X3,sK562(X0))],[f10197]) ).
fof(f10199,plain,
! [X0] :
( ( ~ r2_wellord2(X0,k1_xboole_0)
| X0 = k1_xboole_0 )
& ( k1_xboole_0 != X0
| r2_wellord2(X0,k1_xboole_0) ) ),
inference(nnf_transformation,[],[f3174]) ).
fof(f10200,plain,
! [X0,X1] :
( ( ~ r2_wellord2(X0,X1)
| k1_card_1(X0) = k1_card_1(X1) )
& ( k1_card_1(X0) != k1_card_1(X1)
| r2_wellord2(X0,X1) ) ),
inference(nnf_transformation,[],[f3146]) ).
fof(f10201,plain,
! [X0,X1] :
( ~ v1_card_1(X1)
| ( ( k1_card_1(X0) != X1
| r2_wellord2(X0,X1) )
& ( ~ r2_wellord2(X0,X1)
| X1 = k1_card_1(X0) ) ) ),
inference(nnf_transformation,[],[f9135]) ).
fof(f10202,plain,
! [X0] :
( ~ v1_card_1(X0)
| ! [X1] :
( ~ v1_card_1(X1)
| ( ( X0 != X1
| r2_wellord2(X0,X1) )
& ( ~ r2_wellord2(X0,X1)
| X0 = X1 ) ) ) ),
inference(nnf_transformation,[],[f9136]) ).
fof(f10203,plain,
! [X0] :
( r2_wellord2(X0,sK563(X0))
& v3_ordinal1(sK563(X0)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK563]),skolemize(X1,sK563(X0))],[f3125]) ).
fof(f10204,plain,
! [X0] :
( ! [X1] :
( ( v3_ordinal1(sK564(X1))
& r2_wellord2(sK564(X1),X1) )
| X0 != X1
| ~ v3_ordinal1(X1) )
| v1_card_1(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK564]),skolemize(X2,sK564(X1))],[f9137]) ).
fof(f10205,plain,
! [X1,X2,X0] :
( ~ sP35(X1,X2,X0)
| ( ( k9_rlvect_1(X0,X1) != X2
| sP34(X0,X2,X1) )
& ( ~ sP34(X0,X2,X1)
| X2 = k9_rlvect_1(X0,X1) ) ) ),
inference(nnf_transformation,[],[f9267]) ).
fof(f10206,plain,
! [X0,X1,X2] :
( ~ sP35(X0,X1,X2)
| ( ( k9_rlvect_1(X2,X0) != X1
| sP34(X2,X1,X0) )
& ( ~ sP34(X2,X1,X0)
| k9_rlvect_1(X2,X0) = X1 ) ) ),
inference(rectify,[],[f10205]) ).
fof(f10212,plain,
! [X0,X1] :
( ( ~ sP37(X0,X1)
| ? [X2] :
( ? [X3] :
( sP36(X2,X3)
& k1_funct_1(X3,X2) = X1
& k1_funct_1(X3,np__1) = X0
& k3_finseq_1(X3) = X2
& r1_xreal_0(np__1,X2)
& v1_finseq_1(X3)
& v1_funct_1(X3)
& v1_relat_1(X3) )
& m2_subset_1(X2,k1_numbers,k5_numbers) ) )
& ( ! [X2] :
( ! [X3] :
( ~ sP36(X2,X3)
| k1_funct_1(X3,X2) != X1
| k1_funct_1(X3,np__1) != X0
| k3_finseq_1(X3) != X2
| ~ r1_xreal_0(np__1,X2)
| ~ v1_finseq_1(X3)
| ~ v1_funct_1(X3)
| ~ v1_relat_1(X3) )
| ~ m2_subset_1(X2,k1_numbers,k5_numbers) )
| sP37(X0,X1) ) ),
inference(nnf_transformation,[],[f9270]) ).
fof(f10213,plain,
! [X0,X1] :
( ( ~ sP37(X0,X1)
| ? [X4] :
( ? [X5] :
( sP36(X4,X5)
& k1_funct_1(X5,X4) = X1
& k1_funct_1(X5,np__1) = X0
& k3_finseq_1(X5) = X4
& r1_xreal_0(np__1,X4)
& v1_finseq_1(X5)
& v1_funct_1(X5)
& v1_relat_1(X5) )
& m2_subset_1(X4,k1_numbers,k5_numbers) ) )
& ( ! [X2] :
( ! [X3] :
( ~ sP36(X2,X3)
| k1_funct_1(X3,X2) != X1
| k1_funct_1(X3,np__1) != X0
| k3_finseq_1(X3) != X2
| ~ r1_xreal_0(np__1,X2)
| ~ v1_finseq_1(X3)
| ~ v1_funct_1(X3)
| ~ v1_relat_1(X3) )
| ~ m2_subset_1(X2,k1_numbers,k5_numbers) )
| sP37(X0,X1) ) ),
inference(rectify,[],[f10212]) ).
fof(f10214,plain,
! [X0,X1] :
( ( ~ sP37(X0,X1)
| ( sP36(sK568(X0,X1),sK569(X0,X1))
& k1_funct_1(sK569(X0,X1),sK568(X0,X1)) = X1
& k1_funct_1(sK569(X0,X1),np__1) = X0
& sK568(X0,X1) = k3_finseq_1(sK569(X0,X1))
& r1_xreal_0(np__1,sK568(X0,X1))
& v1_finseq_1(sK569(X0,X1))
& v1_funct_1(sK569(X0,X1))
& v1_relat_1(sK569(X0,X1))
& m2_subset_1(sK568(X0,X1),k1_numbers,k5_numbers) ) )
& ( ! [X2] :
( ! [X3] :
( ~ sP36(X2,X3)
| k1_funct_1(X3,X2) != X1
| k1_funct_1(X3,np__1) != X0
| k3_finseq_1(X3) != X2
| ~ r1_xreal_0(np__1,X2)
| ~ v1_finseq_1(X3)
| ~ v1_funct_1(X3)
| ~ v1_relat_1(X3) )
| ~ m2_subset_1(X2,k1_numbers,k5_numbers) )
| sP37(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK568,sK569]),skolemize(X4,sK568(X0,X1)),skolemize(X5,sK569(X0,X1))],[f10213]) ).
fof(f10218,plain,
! [X0,X1] :
( ~ v1_finseq_1(X1)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ! [X2] :
( ~ v1_finseq_1(X2)
| ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| ( m2_subset_1(sK573(X0,X1,X2),k1_numbers,k5_numbers)
& r2_hidden(k1_nat_1(k3_finseq_1(X2),sK573(X0,X1,X2)),k4_finseq_1(k7_finseq_1(X2,X1)))
& sK573(X0,X1,X2) = X0 )
| ~ r2_hidden(X0,k4_finseq_1(X1)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK573]),skolemize(X3,sK573(X0,X1,X2))],[f9155]) ).
fof(f10219,plain,
! [X0] :
( ~ v1_finseq_1(X0)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ! [X1] :
( ~ v1_finseq_1(X1)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ! [X2] :
( ~ m2_subset_1(X2,k1_numbers,k5_numbers)
| ( m2_subset_1(sK574(X0,X1,X2),k1_numbers,k5_numbers)
& k1_nat_1(k3_finseq_1(X0),sK574(X0,X1,X2)) = X2
& r2_hidden(sK574(X0,X1,X2),k4_finseq_1(X1)) )
| r2_hidden(X2,k4_finseq_1(X0))
| ~ r2_hidden(X2,k4_finseq_1(k7_finseq_1(X0,X1))) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK574]),skolemize(X3,sK574(X0,X1,X2))],[f9157]) ).
fof(f10220,plain,
! [X0] :
( ~ v1_finseq_1(X0)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ! [X1] :
( ~ v1_finseq_1(X1)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ! [X2] :
( ~ v1_finseq_1(X2)
| ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| ! [X3] :
( ~ v1_finseq_1(X3)
| ~ v1_funct_1(X3)
| ~ v1_relat_1(X3)
| ( v1_finseq_1(sK575(X0,X2))
& v1_funct_1(sK575(X0,X2))
& v1_relat_1(sK575(X0,X2))
& k7_finseq_1(X0,sK575(X0,X2)) = X2 )
| ~ r1_xreal_0(k3_finseq_1(X0),k3_finseq_1(X2))
| k7_finseq_1(X0,X1) != k7_finseq_1(X2,X3) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK575]),skolemize(X4,sK575(X0,X2))],[f9168]) ).
fof(f10221,plain,
! [X0] :
( ~ l1_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m2_finseq_1(X1,u1_struct_0(X0))
| ! [X2] :
( ~ m2_finseq_1(X2,u1_struct_0(X0))
| ( m2_subset_1(sK576(X0,X1,X2),k1_numbers,k5_numbers)
& m1_subset_1(sK577(X0,X1,X2),u1_struct_0(X0))
& sK577(X0,X1,X2) = k1_funct_1(X2,sK576(X0,X1,X2))
& r2_hidden(sK576(X0,X1,X2),k4_finseq_1(X1))
& k1_funct_1(X1,sK576(X0,X1,X2)) != k5_rlvect_1(X0,sK577(X0,X1,X2)) )
| k3_finseq_1(X1) != k3_finseq_1(X2)
| k9_rlvect_1(X0,X1) = k5_rlvect_1(X0,k9_rlvect_1(X0,X2)) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK576,sK577]),skolemize(X3,sK576(X0,X1,X2)),skolemize(X4,sK577(X0,X1,X2))],[f9192]) ).
fof(f10222,plain,
! [X0,X1] :
( ~ v1_finseq_1(X1)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ( ( k9_finseq_1(X0) != X1
| ( k2_relat_1(X1) = k1_tarski(X0)
& k4_finseq_1(X1) = k2_finseq_1(np__1) ) )
& ( k1_tarski(X0) != k2_relat_1(X1)
| k2_finseq_1(np__1) != k4_finseq_1(X1)
| X1 = k9_finseq_1(X0) ) ) ),
inference(nnf_transformation,[],[f9198]) ).
fof(f10223,plain,
! [X0,X1] :
( ~ v1_finseq_1(X1)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ( ( k9_finseq_1(X0) != X1
| ( k2_relat_1(X1) = k1_tarski(X0)
& k4_finseq_1(X1) = k2_finseq_1(np__1) ) )
& ( k1_tarski(X0) != k2_relat_1(X1)
| k2_finseq_1(np__1) != k4_finseq_1(X1)
| X1 = k9_finseq_1(X0) ) ) ),
inference(flattening,[],[f10222]) ).
fof(f10224,plain,
! [X0] :
( ~ v1_finseq_1(X0)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ( ( k1_xboole_0 != X0
| k4_finseq_1(X0) = k1_xboole_0 )
& ( k1_xboole_0 != k4_finseq_1(X0)
| X0 = k1_xboole_0 ) ) ),
inference(nnf_transformation,[],[f9204]) ).
fof(f10225,plain,
! [X0] :
( ~ v1_finseq_1(X0)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ! [X1] :
( ~ v1_finseq_1(X1)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ( m2_subset_1(sK578(X0,X1),k1_numbers,k5_numbers)
& r2_hidden(sK578(X0,X1),k4_finseq_1(X0))
& k1_funct_1(X0,sK578(X0,X1)) != k1_funct_1(X1,sK578(X0,X1)) )
| k4_finseq_1(X1) != k4_finseq_1(X0)
| X0 = X1 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK578]),skolemize(X2,sK578(X0,X1))],[f9206]) ).
fof(f10226,plain,
! [X0,X1] :
( ~ v1_finseq_1(X1)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ( m2_subset_1(sK579(X0,X1),k1_numbers,k5_numbers)
& k4_tarski(sK579(X0,X1),k1_funct_1(X1,sK579(X0,X1))) = X0
& r2_hidden(sK579(X0,X1),k4_finseq_1(X1)) )
| ~ r2_hidden(X0,X1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK579]),skolemize(X2,sK579(X0,X1))],[f9208]) ).
fof(f10227,plain,
l3_lattices(sK39),
inference(cnf_transformation,[],[f9273]) ).
fof(f10228,plain,
~ v3_realset2(sK39),
inference(cnf_transformation,[],[f9273]) ).
fof(f10229,plain,
v17_lattices(sK39),
inference(cnf_transformation,[],[f9273]) ).
fof(f10230,plain,
v10_lattices(sK39),
inference(cnf_transformation,[],[f9273]) ).
fof(f10231,plain,
~ v3_struct_0(sK39),
inference(cnf_transformation,[],[f9273]) ).
fof(f10232,plain,
! [X1] :
( ~ r1_filter_1(sK39,k6_lopclset(X1))
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1)
| v3_struct_0(X1) ),
inference(cnf_transformation,[],[f9273]) ).
fof(f10233,plain,
l3_lattices(sK40),
inference(cnf_transformation,[],[f9274]) ).
fof(f10234,plain,
l1_pre_topc(sK41),
inference(cnf_transformation,[],[f9275]) ).
fof(f10235,plain,
! [X0] :
( ~ l1_struct_0(X0)
| v3_struct_0(X0)
| ~ v3_realset2(X0)
| u1_struct_0(X0) = k1_tarski(sK42(X0)) ),
inference(cnf_transformation,[],[f9278]) ).
fof(f10236,plain,
! [X0,X1] :
( ~ l1_struct_0(X0)
| v3_struct_0(X0)
| k1_tarski(X1) != u1_struct_0(X0)
| v3_realset2(X0) ),
inference(cnf_transformation,[],[f9278]) ).
fof(f10237,plain,
! [X3,X0,X4] :
( ~ l1_struct_0(X0)
| ~ v3_realset2(X0)
| ~ m1_subset_1(X3,u1_struct_0(X0))
| ~ m1_subset_1(X4,u1_struct_0(X0))
| X3 = X4 ),
inference(cnf_transformation,[],[f9281]) ).
fof(f10238,plain,
! [X0] :
( ~ l1_struct_0(X0)
| m1_subset_1(sK43(X0),u1_struct_0(X0))
| v3_realset2(X0) ),
inference(cnf_transformation,[],[f9281]) ).
fof(f10239,plain,
! [X0] :
( ~ l1_struct_0(X0)
| m1_subset_1(sK44(X0),u1_struct_0(X0))
| v3_realset2(X0) ),
inference(cnf_transformation,[],[f9281]) ).
fof(f10240,plain,
! [X0] :
( ~ l1_struct_0(X0)
| sK43(X0) != sK44(X0)
| v3_realset2(X0) ),
inference(cnf_transformation,[],[f9281]) ).
fof(f10241,plain,
v3_realset2(sK45),
inference(cnf_transformation,[],[f9282]) ).
fof(f10242,plain,
l1_struct_0(sK45),
inference(cnf_transformation,[],[f9282]) ).
fof(f10243,plain,
! [X0] :
( ~ l3_lattices(X0)
| v3_realset2(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| r1_filter_1(X0,k12_lopclset(X0)) ),
inference(cnf_transformation,[],[f6549]) ).
fof(f10244,plain,
! [X0,X1] :
( ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| r1_filter_1(X0,X0) ),
inference(cnf_transformation,[],[f6551]) ).
fof(f10245,plain,
! [X0,X1] :
( ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ r1_filter_1(X0,X1)
| r1_filter_1(X1,X0) ),
inference(cnf_transformation,[],[f6553]) ).
fof(f10246,plain,
! [X0,X1] :
( ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| r1_filter_1(X0,k8_filter_1(k5_filter_1(X0,k2_filter_0(X0,X1)),k8_filter_0(X0,k2_filter_0(X0,X1)))) ),
inference(cnf_transformation,[],[f6555]) ).
fof(f10247,plain,
! [X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| r1_filter_1(k8_filter_1(X0,X1),k8_filter_1(X1,X0)) ),
inference(cnf_transformation,[],[f6557]) ).
fof(f10248,plain,
! [X2,X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| v3_struct_0(X2)
| ~ r1_filter_1(X1,X2)
| ~ r1_filter_1(X0,X1)
| r1_filter_1(X0,X2) ),
inference(cnf_transformation,[],[f6559]) ).
fof(f10249,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| m1_subset_1(k1_pre_topc(X0),u1_struct_0(k6_lopclset(X0))) ),
inference(cnf_transformation,[],[f6561]) ).
fof(f10250,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| m1_subset_1(k2_pre_topc(X0),u1_struct_0(k6_lopclset(X0))) ),
inference(cnf_transformation,[],[f6563]) ).
fof(f10251,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| v17_lattices(k6_lopclset(X0)) ),
inference(cnf_transformation,[],[f6565]) ).
fof(f10252,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| k1_lopclset(X0) = u1_struct_0(k6_lopclset(X0)) ),
inference(cnf_transformation,[],[f6567]) ).
fof(f10253,plain,
! [X2,X0,X1] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(k6_lopclset(X0)))
| ~ m1_subset_1(X2,u1_struct_0(k6_lopclset(X0)))
| k3_xboole_0(X1,X2) = k4_lattices(k6_lopclset(X0),X1,X2) ),
inference(cnf_transformation,[],[f6569]) ).
fof(f10254,plain,
! [X2,X0,X1] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(k6_lopclset(X0)))
| ~ m1_subset_1(X2,u1_struct_0(k6_lopclset(X0)))
| k2_xboole_0(X1,X2) = k3_lattices(k6_lopclset(X0),X1,X2) ),
inference(cnf_transformation,[],[f6571]) ).
fof(f10255,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| l3_lattices(k6_lopclset(X0)) ),
inference(cnf_transformation,[],[f6573]) ).
fof(f10256,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| v10_lattices(k6_lopclset(X0)) ),
inference(cnf_transformation,[],[f6573]) ).
fof(f10257,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| ~ v3_struct_0(k6_lopclset(X0)) ),
inference(cnf_transformation,[],[f6573]) ).
fof(f10258,plain,
! [X2,X0,X1] :
( v1_xboole_0(X0)
| ~ m1_subset_1(X2,X0)
| r1_tarski(k2_zfmisc_1(k1_tarski(X2),X1),k2_zfmisc_1(X0,X1)) ),
inference(cnf_transformation,[],[f6574]) ).
fof(f10260,plain,
! [X2,X0,X1] :
( ~ r1_tarski(k2_xboole_0(X0,k1_tarski(X1)),X2)
| r2_hidden(X1,X2) ),
inference(cnf_transformation,[],[f9284]) ).
fof(f10261,plain,
! [X2,X0,X1] :
( ~ r1_tarski(X0,X2)
| ~ r2_hidden(X1,X2)
| r1_tarski(k2_xboole_0(X0,k1_tarski(X1)),X2) ),
inference(cnf_transformation,[],[f9284]) ).
fof(f10262,plain,
! [X2,X0,X1] :
( ~ r2_hidden(X0,k2_xboole_0(X1,k1_tarski(X2)))
| X0 = X2
| r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f9286]) ).
fof(f10263,plain,
! [X2,X0,X1] :
( X0 != X2
| r2_hidden(X0,k2_xboole_0(X1,k1_tarski(X2))) ),
inference(cnf_transformation,[],[f9286]) ).
fof(f10265,plain,
! [X2,X0,X1] :
( r1_tarski(X0,X1)
| r2_hidden(X2,X0)
| ~ r1_tarski(X0,k2_xboole_0(X1,k1_tarski(X2))) ),
inference(cnf_transformation,[],[f6575]) ).
fof(f10266,plain,
! [X2,X3,X0,X1] :
( ~ m2_relset_1(X2,X0,k1_tarski(X1))
| ~ v1_funct_2(X2,X0,k1_tarski(X1))
| ~ v1_funct_1(X2)
| ~ m2_relset_1(X3,X0,k1_tarski(X1))
| ~ v1_funct_2(X3,X0,k1_tarski(X1))
| ~ v1_funct_1(X3)
| X2 = X3 ),
inference(cnf_transformation,[],[f6577]) ).
fof(f10267,plain,
! [X2,X3,X0,X1] :
( ~ m2_relset_1(X3,X0,k1_tarski(X1))
| ~ v1_funct_2(X3,X0,k1_tarski(X1))
| ~ v1_funct_1(X3)
| ~ r2_hidden(X2,X0)
| k1_funct_1(X3,X2) = X1 ),
inference(cnf_transformation,[],[f6579]) ).
fof(f10268,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X2,k1_tarski(X0),X1)
| ~ v1_funct_2(X2,k1_tarski(X0),X1)
| ~ v1_funct_1(X2)
| k1_xboole_0 = X1
| k2_relat_1(X2) = k1_tarski(k1_funct_1(X2,X0)) ),
inference(cnf_transformation,[],[f6581]) ).
fof(f10269,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X2,k1_tarski(X0),X1)
| ~ v1_funct_2(X2,k1_tarski(X0),X1)
| ~ v1_funct_1(X2)
| k1_xboole_0 = X1
| r2_hidden(k1_funct_1(X2,X0),X1) ),
inference(cnf_transformation,[],[f6583]) ).
fof(f10270,plain,
! [X2,X3,X0,X1] :
( ~ v1_funct_1(X3)
| ~ v1_relat_1(X3)
| ~ r2_hidden(k1_funct_1(X3,X0),X2)
| ~ r2_hidden(X0,X1)
| k1_tarski(X0) != k1_relat_1(X3)
| m2_relset_1(X3,X1,X2) ),
inference(cnf_transformation,[],[f6585]) ).
fof(f10272,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X2,k1_tarski(X0),X1)
| ~ v1_funct_1(X2)
| r1_tarski(k2_relat_1(X2),k1_tarski(k1_funct_1(X2,X0))) ),
inference(cnf_transformation,[],[f6587]) ).
fof(f10273,plain,
! [X2,X3,X0,X1] :
( ~ r2_hidden(X3,X1)
| ~ r2_hidden(X2,X0)
| m2_relset_1(k1_tarski(k4_tarski(X2,X3)),X0,X1) ),
inference(cnf_transformation,[],[f6589]) ).
fof(f10274,plain,
! [X2,X0,X1] :
( ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| k1_tarski(X0) != k2_relat_1(X2)
| k1_tarski(X0) != k2_relat_1(X1)
| k1_relat_1(X1) != k1_relat_1(X2)
| X1 = X2 ),
inference(cnf_transformation,[],[f6591]) ).
fof(f10275,plain,
! [X0,X1] :
( k1_xboole_0 = X0
| k1_tarski(X1) = k2_relat_1(sK46(X0,X1)) ),
inference(cnf_transformation,[],[f9287]) ).
fof(f10276,plain,
! [X0,X1] :
( k1_xboole_0 = X0
| k1_relat_1(sK46(X0,X1)) = X0 ),
inference(cnf_transformation,[],[f9287]) ).
fof(f10277,plain,
! [X0,X1] :
( k1_xboole_0 = X0
| v1_funct_1(sK46(X0,X1)) ),
inference(cnf_transformation,[],[f9287]) ).
fof(f10278,plain,
! [X0,X1] :
( k1_xboole_0 = X0
| v1_relat_1(sK46(X0,X1)) ),
inference(cnf_transformation,[],[f9287]) ).
fof(f10279,plain,
! [X0,X1] :
( ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| k1_tarski(X0) != k1_relat_1(X1)
| k2_relat_1(X1) = k1_tarski(k1_funct_1(X1,X0)) ),
inference(cnf_transformation,[],[f6594]) ).
fof(f10280,plain,
! [X2,X0,X1] :
( ~ v1_relat_1(X2)
| k1_tarski(k4_tarski(X0,X1)) != X2
| k1_tarski(X1) = k2_relat_1(X2) ),
inference(cnf_transformation,[],[f6596]) ).
fof(f10281,plain,
! [X2,X0,X1] :
( ~ v1_relat_1(X2)
| k1_tarski(k4_tarski(X0,X1)) != X2
| k1_tarski(X0) = k1_relat_1(X2) ),
inference(cnf_transformation,[],[f6596]) ).
fof(f10282,plain,
! [X0,X1] : v1_relat_1(k1_tarski(k4_tarski(X0,X1))),
inference(cnf_transformation,[],[f701]) ).
fof(f10283,plain,
! [X0,X1] :
( ~ r2_hidden(X0,X1)
| m1_subset_1(k1_tarski(X0),k1_zfmisc_1(X1)) ),
inference(cnf_transformation,[],[f6597]) ).
fof(f10284,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,X0)
| k1_xboole_0 = X0
| m1_subset_1(k1_tarski(X1),k1_zfmisc_1(X0)) ),
inference(cnf_transformation,[],[f6599]) ).
fof(f10286,plain,
! [X0,X1] :
( k1_xboole_0 = X0
| k1_xboole_0 != k2_zfmisc_1(X0,k1_tarski(X1)) ),
inference(cnf_transformation,[],[f6600]) ).
fof(f10287,plain,
! [X0,X1] :
( k1_xboole_0 = X0
| k1_xboole_0 != k2_zfmisc_1(k1_tarski(X1),X0) ),
inference(cnf_transformation,[],[f6600]) ).
fof(f10288,plain,
! [X2,X3,X0,X1] :
( ~ r2_hidden(k4_tarski(X0,X1),k2_zfmisc_1(X2,k1_tarski(X3)))
| X1 = X3 ),
inference(cnf_transformation,[],[f9289]) ).
fof(f10290,plain,
! [X2,X3,X0,X1] :
( X1 != X3
| ~ r2_hidden(X0,X2)
| r2_hidden(k4_tarski(X0,X1),k2_zfmisc_1(X2,k1_tarski(X3))) ),
inference(cnf_transformation,[],[f9289]) ).
fof(f10292,plain,
! [X2,X3,X0,X1] :
( ~ r2_hidden(k4_tarski(X0,X1),k2_zfmisc_1(k1_tarski(X2),X3))
| X0 = X2 ),
inference(cnf_transformation,[],[f9291]) ).
fof(f10293,plain,
! [X2,X3,X0,X1] :
( ~ r2_hidden(X1,X3)
| X0 != X2
| r2_hidden(k4_tarski(X0,X1),k2_zfmisc_1(k1_tarski(X2),X3)) ),
inference(cnf_transformation,[],[f9291]) ).
fof(f10294,plain,
! [X0] : r1_tarski(k1_tarski(X0),k1_zfmisc_1(X0)),
inference(cnf_transformation,[],[f405]) ).
fof(f10296,plain,
! [X0,X1] :
( ~ r2_hidden(X0,X1)
| k2_xboole_0(k1_tarski(X0),X1) = X1 ),
inference(cnf_transformation,[],[f6601]) ).
fof(f10298,plain,
! [X2,X0,X1] :
( k1_xboole_0 = X2
| k1_xboole_0 = X1
| X1 = X2
| k1_tarski(X0) != k2_xboole_0(X1,X2) ),
inference(cnf_transformation,[],[f6603]) ).
fof(f10302,plain,
! [X2,X0,X1] :
( k1_tarski(X0) = X1
| k1_xboole_0 = X1
| k1_tarski(X0) = X2
| k1_tarski(X0) != k2_xboole_0(X1,X2) ),
inference(cnf_transformation,[],[f6604]) ).
fof(f10303,plain,
! [X2,X0,X1] :
( k1_xboole_0 = X2
| k1_tarski(X0) = X2
| k1_tarski(X0) = X1
| k1_tarski(X0) != k2_xboole_0(X1,X2) ),
inference(cnf_transformation,[],[f6604]) ).
fof(f10307,plain,
! [X0,X1] :
( sK47(X0,X1) != X1
| k1_xboole_0 = X0
| k1_tarski(X1) = X0 ),
inference(cnf_transformation,[],[f9292]) ).
fof(f10308,plain,
! [X0,X1] :
( r2_hidden(sK47(X0,X1),X0)
| k1_xboole_0 = X0
| k1_tarski(X1) = X0 ),
inference(cnf_transformation,[],[f9292]) ).
fof(f10309,plain,
! [X0,X1] :
( ~ r1_tarski(X0,k1_tarski(X1))
| k1_tarski(X1) = X0
| k1_xboole_0 = X0 ),
inference(cnf_transformation,[],[f9294]) ).
fof(f10313,plain,
! [X0,X1] :
( ~ r2_hidden(X0,X1)
| r1_tarski(k1_tarski(X0),X1) ),
inference(cnf_transformation,[],[f9295]) ).
fof(f10317,plain,
! [X2,X3,X0,X1] :
( X1 != X3
| X0 != X2
| r2_hidden(k4_tarski(X0,X1),k2_zfmisc_1(k1_tarski(X2),k1_tarski(X3))) ),
inference(cnf_transformation,[],[f9297]) ).
fof(f10319,plain,
! [X0,X1] :
( k1_tarski(X0) != k2_xboole_0(k1_tarski(X0),k1_tarski(X1))
| X0 = X1 ),
inference(cnf_transformation,[],[f6607]) ).
fof(f10321,plain,
k1_zfmisc_1(k1_xboole_0) = k1_tarski(k1_xboole_0),
inference(cnf_transformation,[],[f326]) ).
fof(f10322,plain,
! [X3,X0,X1] :
( k1_tarski(X0) != X1
| ~ r2_hidden(X3,X1)
| X0 = X3 ),
inference(cnf_transformation,[],[f9300]) ).
fof(f10324,plain,
! [X0,X1] :
( r2_hidden(sK48(X0,X1),X1)
| sK48(X0,X1) = X0
| k1_tarski(X0) = X1 ),
inference(cnf_transformation,[],[f9300]) ).
fof(f10325,plain,
! [X0,X1] :
( ~ r2_hidden(sK48(X0,X1),X1)
| sK48(X0,X1) != X0
| k1_tarski(X0) = X1 ),
inference(cnf_transformation,[],[f9300]) ).
fof(f10326,plain,
! [X0] :
( ~ l1_group_1(X0)
| l1_struct_0(X0) ),
inference(cnf_transformation,[],[f6609]) ).
fof(f10327,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| l1_struct_0(X0) ),
inference(cnf_transformation,[],[f6610]) ).
fof(f10328,plain,
l1_struct_0(sK49),
inference(cnf_transformation,[],[f9301]) ).
fof(f10329,plain,
! [X0] :
( ~ l1_struct_0(X0)
| ~ v3_struct_0(X0)
| v1_xboole_0(u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f9302]) ).
fof(f10331,plain,
! [X0] :
( ~ l1_struct_0(X0)
| v3_struct_0(X0)
| ~ v1_xboole_0(sK50(X0)) ),
inference(cnf_transformation,[],[f9303]) ).
fof(f10332,plain,
! [X0] :
( ~ l1_struct_0(X0)
| v3_struct_0(X0)
| m1_subset_1(sK50(X0),k1_zfmisc_1(u1_struct_0(X0))) ),
inference(cnf_transformation,[],[f9303]) ).
fof(f10333,plain,
! [X0] :
( ~ l1_struct_0(X0)
| v3_struct_0(X0)
| ~ v1_xboole_0(u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f6615]) ).
fof(f10334,plain,
~ v3_struct_0(sK51),
inference(cnf_transformation,[],[f9304]) ).
fof(f10335,plain,
l1_struct_0(sK51),
inference(cnf_transformation,[],[f9304]) ).
fof(f10336,plain,
! [X0] : m1_subset_1(sK52(X0),X0),
inference(cnf_transformation,[],[f9305]) ).
fof(f10337,plain,
! [X0] :
( ~ l3_lattices(X0)
| v3_realset2(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| v3_lattice4(k13_lopclset(X0),X0,k12_lopclset(X0)) ),
inference(cnf_transformation,[],[f6617]) ).
fof(f10338,plain,
! [X0] :
( ~ l3_lattices(X0)
| v3_realset2(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| k2_relat_1(k13_lopclset(X0)) = u1_struct_0(k12_lopclset(X0)) ),
inference(cnf_transformation,[],[f6619]) ).
fof(f10339,plain,
! [X0] :
( ~ l3_lattices(X0)
| v3_realset2(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| k12_lopclset(X0) = k6_lopclset(k11_lopclset(X0)) ),
inference(cnf_transformation,[],[f6621]) ).
fof(f10340,plain,
! [X0] :
( ~ l3_lattices(X0)
| v3_realset2(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| m1_lattice4(k13_lopclset(X0),X0,k12_lopclset(X0)) ),
inference(cnf_transformation,[],[f6623]) ).
fof(f10341,plain,
! [X0] :
( ~ l3_lattices(X0)
| v3_realset2(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| l3_lattices(k12_lopclset(X0)) ),
inference(cnf_transformation,[],[f6625]) ).
fof(f10342,plain,
! [X0] :
( ~ l3_lattices(X0)
| v3_realset2(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| v10_lattices(k12_lopclset(X0)) ),
inference(cnf_transformation,[],[f6625]) ).
fof(f10343,plain,
! [X0] :
( ~ l3_lattices(X0)
| v3_realset2(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ v3_struct_0(k12_lopclset(X0)) ),
inference(cnf_transformation,[],[f6625]) ).
fof(f10344,plain,
! [X0,X1] :
( ~ m1_filter_0(X1,X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| l3_lattices(k8_filter_0(X0,X1)) ),
inference(cnf_transformation,[],[f6627]) ).
fof(f10345,plain,
! [X0,X1] :
( ~ m1_filter_0(X1,X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| v10_lattices(k8_filter_0(X0,X1)) ),
inference(cnf_transformation,[],[f6627]) ).
fof(f10346,plain,
! [X0,X1] :
( ~ m1_filter_0(X1,X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ v3_struct_0(k8_filter_0(X0,X1)) ),
inference(cnf_transformation,[],[f6627]) ).
fof(f10352,plain,
! [X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ v14_lattices(X0)
| k6_lattices(X0) = k6_lattices(k8_filter_0(X0,k2_filter_0(X0,X1))) ),
inference(cnf_transformation,[],[f6633]) ).
fof(f10353,plain,
! [X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| k5_lattices(k8_filter_0(X0,k2_filter_0(X0,X1))) = X1 ),
inference(cnf_transformation,[],[f6635]) ).
fof(f10354,plain,
! [X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| v13_lattices(k8_filter_0(X0,k2_filter_0(X0,X1))) ),
inference(cnf_transformation,[],[f6637]) ).
fof(f10356,plain,
! [X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_filter_0(X1,X0)
| ~ v11_lattices(X0)
| v11_lattices(k8_filter_0(X0,X1)) ),
inference(cnf_transformation,[],[f6641]) ).
fof(f10357,plain,
! [X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_filter_0(X1,X0)
| ~ v14_lattices(X0)
| v14_lattices(k8_filter_0(X0,X1)) ),
inference(cnf_transformation,[],[f6643]) ).
fof(f10358,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_filter_0(X3,X0)
| ~ m1_subset_1(X4,u1_struct_0(k8_filter_0(X0,X3)))
| ~ m1_subset_1(X5,u1_struct_0(k8_filter_0(X0,X3)))
| X2 != X5
| X1 != X4
| ~ r3_lattices(X0,X1,X2)
| r3_lattices(k8_filter_0(X0,X3),X4,X5) ),
inference(cnf_transformation,[],[f9306]) ).
fof(f10359,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_filter_0(X3,X0)
| ~ m1_subset_1(X4,u1_struct_0(k8_filter_0(X0,X3)))
| ~ m1_subset_1(X5,u1_struct_0(k8_filter_0(X0,X3)))
| X2 != X5
| X1 != X4
| ~ r3_lattices(k8_filter_0(X0,X3),X4,X5)
| r3_lattices(X0,X1,X2) ),
inference(cnf_transformation,[],[f9306]) ).
fof(f10360,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_filter_0(X3,X0)
| ~ m1_subset_1(X4,u1_struct_0(k8_filter_0(X0,X3)))
| ~ m1_subset_1(X5,u1_struct_0(k8_filter_0(X0,X3)))
| X2 != X5
| X1 != X4
| k4_lattices(X0,X1,X2) = k4_lattices(k8_filter_0(X0,X3),X4,X5) ),
inference(cnf_transformation,[],[f6647]) ).
fof(f10361,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_filter_0(X3,X0)
| ~ m1_subset_1(X4,u1_struct_0(k8_filter_0(X0,X3)))
| ~ m1_subset_1(X5,u1_struct_0(k8_filter_0(X0,X3)))
| X2 != X5
| X1 != X4
| k3_lattices(X0,X1,X2) = k3_lattices(k8_filter_0(X0,X3),X4,X5) ),
inference(cnf_transformation,[],[f6647]) ).
fof(f10362,plain,
! [X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_filter_0(X1,X0)
| k1_realset1(u1_lattices(X0),X1) = u1_lattices(k8_filter_0(X0,X1)) ),
inference(cnf_transformation,[],[f6649]) ).
fof(f10363,plain,
! [X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_filter_0(X1,X0)
| k1_realset1(u2_lattices(X0),X1) = u2_lattices(k8_filter_0(X0,X1)) ),
inference(cnf_transformation,[],[f6649]) ).
fof(f10364,plain,
! [X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_filter_0(X1,X0)
| u1_struct_0(k8_filter_0(X0,X1)) = X1 ),
inference(cnf_transformation,[],[f6649]) ).
fof(f10365,plain,
! [X2,X0,X1] :
( ~ sP1(X0,X1,X2)
| k8_filter_0(X1,X2) != X0
| sP0(X2,X1,X0) ),
inference(cnf_transformation,[],[f9308]) ).
fof(f10366,plain,
! [X2,X0,X1] :
( ~ sP1(X0,X1,X2)
| ~ sP0(X2,X1,X0)
| k8_filter_0(X1,X2) = X0 ),
inference(cnf_transformation,[],[f9308]) ).
fof(f10377,plain,
! [X2,X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_filter_0(X1,X0)
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| v3_struct_0(X2)
| sP1(X2,X0,X1) ),
inference(cnf_transformation,[],[f9211]) ).
fof(f10387,plain,
! [X0,X1] :
( ~ m1_filter_0(X1,X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| sP2(X1,X0) ),
inference(cnf_transformation,[],[f9213]) ).
fof(f10388,plain,
! [X2,X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| k2_filter_0(X0,X2) != k2_filter_0(X0,X1)
| X1 = X2 ),
inference(cnf_transformation,[],[f6655]) ).
fof(f10389,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| m1_filter_0(k2_filter_0(X0,X1),X0) ),
inference(cnf_transformation,[],[f6657]) ).
fof(f10390,plain,
! [X2,X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
| v1_xboole_0(X2)
| ~ r2_hidden(X1,X2)
| r1_tarski(k2_filter_0(X0,X1),k3_filter_0(X0,X2)) ),
inference(cnf_transformation,[],[f6659]) ).
fof(f10391,plain,
! [X2,X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| u1_struct_0(X0) != k2_filter_0(X0,X1)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| k4_lattices(X0,X1,X2) = X1 ),
inference(cnf_transformation,[],[f6661]) ).
fof(f10392,plain,
! [X2,X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| r2_hidden(k3_lattices(X0,X2,X1),k2_filter_0(X0,X1)) ),
inference(cnf_transformation,[],[f6663]) ).
fof(f10393,plain,
! [X2,X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| r2_hidden(k3_lattices(X0,X1,X2),k2_filter_0(X0,X1)) ),
inference(cnf_transformation,[],[f6663]) ).
fof(f10394,plain,
! [X2,X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| r2_hidden(X1,k2_filter_0(X0,X1)) ),
inference(cnf_transformation,[],[f6663]) ).
fof(f10395,plain,
! [X2,X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ r2_hidden(X1,k2_filter_0(X0,X2))
| r3_lattices(X0,X2,X1) ),
inference(cnf_transformation,[],[f9314]) ).
fof(f10396,plain,
! [X2,X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ r3_lattices(X0,X2,X1)
| r2_hidden(X1,k2_filter_0(X0,X2)) ),
inference(cnf_transformation,[],[f9314]) ).
fof(f10397,plain,
! [X0,X1] :
( ~ l3_lattices(X1)
| v3_struct_0(X1)
| ~ l3_lattices(X0)
| v3_struct_0(X0)
| l3_lattices(k8_filter_1(X0,X1)) ),
inference(cnf_transformation,[],[f6667]) ).
fof(f10399,plain,
! [X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| k1_lattice2(k8_filter_1(X0,X1)) = k8_filter_1(k1_lattice2(X0),k1_lattice2(X1)) ),
inference(cnf_transformation,[],[f6669]) ).
fof(f10400,plain,
! [X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ~ v3_filter_0(X1)
| ~ v3_filter_0(X0)
| v3_filter_0(k8_filter_1(X0,X1)) ),
inference(cnf_transformation,[],[f9316]) ).
fof(f10401,plain,
! [X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ~ v3_filter_0(k8_filter_1(X0,X1))
| v3_filter_0(X1) ),
inference(cnf_transformation,[],[f9316]) ).
fof(f10402,plain,
! [X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ~ v3_filter_0(k8_filter_1(X0,X1))
| v3_filter_0(X0) ),
inference(cnf_transformation,[],[f9316]) ).
fof(f10403,plain,
! [X0,X1] :
( ~ sP4(X0,X1)
| ~ sP3(X1,X0)
| l3_lattices(k8_filter_1(X1,X0)) ),
inference(cnf_transformation,[],[f9319]) ).
fof(f10404,plain,
! [X0,X1] :
( ~ sP4(X0,X1)
| ~ sP3(X1,X0)
| v17_lattices(k8_filter_1(X1,X0)) ),
inference(cnf_transformation,[],[f9319]) ).
fof(f10405,plain,
! [X0,X1] :
( ~ sP4(X0,X1)
| ~ sP3(X1,X0)
| v10_lattices(k8_filter_1(X1,X0)) ),
inference(cnf_transformation,[],[f9319]) ).
fof(f10406,plain,
! [X0,X1] :
( ~ sP4(X0,X1)
| ~ sP3(X1,X0)
| ~ v3_struct_0(k8_filter_1(X1,X0)) ),
inference(cnf_transformation,[],[f9319]) ).
fof(f10407,plain,
! [X0,X1] :
( ~ sP4(X0,X1)
| ~ l3_lattices(k8_filter_1(X1,X0))
| ~ v17_lattices(k8_filter_1(X1,X0))
| ~ v10_lattices(k8_filter_1(X1,X0))
| v3_struct_0(k8_filter_1(X1,X0))
| sP3(X1,X0) ),
inference(cnf_transformation,[],[f9319]) ).
fof(f10417,plain,
! [X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| sP4(X1,X0) ),
inference(cnf_transformation,[],[f9216]) ).
fof(f10418,plain,
! [X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ~ v15_lattices(X1)
| ~ v15_lattices(X0)
| v15_lattices(k8_filter_1(X0,X1)) ),
inference(cnf_transformation,[],[f9323]) ).
fof(f10419,plain,
! [X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ~ v15_lattices(k8_filter_1(X0,X1))
| v15_lattices(X1) ),
inference(cnf_transformation,[],[f9323]) ).
fof(f10420,plain,
! [X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ~ v15_lattices(k8_filter_1(X0,X1))
| v15_lattices(X0) ),
inference(cnf_transformation,[],[f9323]) ).
fof(f10421,plain,
! [X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ~ v14_lattices(X1)
| ~ v14_lattices(X0)
| v14_lattices(k8_filter_1(X0,X1)) ),
inference(cnf_transformation,[],[f9325]) ).
fof(f10422,plain,
! [X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ~ v14_lattices(k8_filter_1(X0,X1))
| v14_lattices(X1) ),
inference(cnf_transformation,[],[f9325]) ).
fof(f10423,plain,
! [X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ~ v14_lattices(k8_filter_1(X0,X1))
| v14_lattices(X0) ),
inference(cnf_transformation,[],[f9325]) ).
fof(f10424,plain,
! [X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ~ v13_lattices(X1)
| ~ v13_lattices(X0)
| v13_lattices(k8_filter_1(X0,X1)) ),
inference(cnf_transformation,[],[f9327]) ).
fof(f10425,plain,
! [X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ~ v13_lattices(k8_filter_1(X0,X1))
| v13_lattices(X1) ),
inference(cnf_transformation,[],[f9327]) ).
fof(f10426,plain,
! [X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ~ v13_lattices(k8_filter_1(X0,X1))
| v13_lattices(X0) ),
inference(cnf_transformation,[],[f9327]) ).
fof(f10427,plain,
! [X0,X1] :
( ~ sP6(X0,X1)
| ~ sP5(X1,X0)
| l3_lattices(k8_filter_1(X1,X0)) ),
inference(cnf_transformation,[],[f9330]) ).
fof(f10428,plain,
! [X0,X1] :
( ~ sP6(X0,X1)
| ~ sP5(X1,X0)
| v11_lattices(k8_filter_1(X1,X0)) ),
inference(cnf_transformation,[],[f9330]) ).
fof(f10429,plain,
! [X0,X1] :
( ~ sP6(X0,X1)
| ~ sP5(X1,X0)
| v10_lattices(k8_filter_1(X1,X0)) ),
inference(cnf_transformation,[],[f9330]) ).
fof(f10430,plain,
! [X0,X1] :
( ~ sP6(X0,X1)
| ~ sP5(X1,X0)
| ~ v3_struct_0(k8_filter_1(X1,X0)) ),
inference(cnf_transformation,[],[f9330]) ).
fof(f10431,plain,
! [X0,X1] :
( ~ sP6(X0,X1)
| ~ l3_lattices(k8_filter_1(X1,X0))
| ~ v11_lattices(k8_filter_1(X1,X0))
| ~ v10_lattices(k8_filter_1(X1,X0))
| v3_struct_0(k8_filter_1(X1,X0))
| sP5(X1,X0) ),
inference(cnf_transformation,[],[f9330]) ).
fof(f10441,plain,
! [X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| sP6(X1,X0) ),
inference(cnf_transformation,[],[f9219]) ).
fof(f10443,plain,
! [X0,X1] :
( ~ l3_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X1)
| v3_struct_0(X1)
| ~ l3_lattices(k8_filter_1(X0,X1))
| ~ v10_lattices(k8_filter_1(X0,X1))
| v3_struct_0(k8_filter_1(X0,X1))
| v10_lattices(X1) ),
inference(cnf_transformation,[],[f6683]) ).
fof(f10446,plain,
! [X0,X1] :
( ~ l3_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X1)
| v3_struct_0(X1)
| ~ l3_lattices(k8_filter_1(X0,X1))
| ~ v10_lattices(k8_filter_1(X0,X1))
| v3_struct_0(k8_filter_1(X0,X1))
| v10_lattices(X0) ),
inference(cnf_transformation,[],[f6683]) ).
fof(f10457,plain,
! [X0,X1] :
( ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| sP7(X1,X0) ),
inference(cnf_transformation,[],[f9221]) ).
fof(f10458,plain,
! [X0,X1] :
( ~ l3_lattices(X1)
| v3_struct_0(X1)
| ~ l3_lattices(X0)
| v3_struct_0(X0)
| v3_lattices(k8_filter_1(X0,X1)) ),
inference(cnf_transformation,[],[f6687]) ).
fof(f10459,plain,
! [X0,X1] :
( ~ l3_lattices(X1)
| v3_struct_0(X1)
| ~ l3_lattices(X0)
| v3_struct_0(X0)
| ~ v3_struct_0(k8_filter_1(X0,X1)) ),
inference(cnf_transformation,[],[f6687]) ).
fof(f10460,plain,
! [X0,X1] :
( ~ m1_filter_0(X1,X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| l3_lattices(k5_filter_1(X0,X1)) ),
inference(cnf_transformation,[],[f6689]) ).
fof(f10461,plain,
! [X0,X1] :
( ~ m1_filter_0(X1,X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| v10_lattices(k5_filter_1(X0,X1)) ),
inference(cnf_transformation,[],[f6689]) ).
fof(f10462,plain,
! [X0,X1] :
( ~ m1_filter_0(X1,X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| v3_lattices(k5_filter_1(X0,X1)) ),
inference(cnf_transformation,[],[f6689]) ).
fof(f10463,plain,
! [X0,X1] :
( ~ m1_filter_0(X1,X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ v3_struct_0(k5_filter_1(X0,X1)) ),
inference(cnf_transformation,[],[f6689]) ).
fof(f10464,plain,
! [X0,X1] :
( ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_filter_0(X1,X0)
| l3_lattices(k5_filter_1(X0,X1)) ),
inference(cnf_transformation,[],[f6691]) ).
fof(f10465,plain,
! [X0,X1] :
( ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_filter_0(X1,X0)
| v17_lattices(k5_filter_1(X0,X1)) ),
inference(cnf_transformation,[],[f6691]) ).
fof(f10466,plain,
! [X0,X1] :
( ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_filter_0(X1,X0)
| v10_lattices(k5_filter_1(X0,X1)) ),
inference(cnf_transformation,[],[f6691]) ).
fof(f10468,plain,
! [X0,X1] :
( ~ l3_lattices(X0)
| ~ v3_filter_0(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_filter_0(X1,X0)
| v3_filter_0(k5_filter_1(X0,X1)) ),
inference(cnf_transformation,[],[f6693]) ).
fof(f10476,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| m2_subset_1(k1_pre_topc(X0),k1_zfmisc_1(u1_struct_0(X0)),k1_lopclset(X0)) ),
inference(cnf_transformation,[],[f6697]) ).
fof(f10478,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| k1_pre_topc(X0) = k1_tops_1(X0,k1_pre_topc(X0)) ),
inference(cnf_transformation,[],[f6700]) ).
fof(f10480,plain,
! [X0] :
( ~ l1_struct_0(X0)
| k1_pre_topc(X0) = k3_subset_1(u1_struct_0(X0),k2_pre_topc(X0)) ),
inference(cnf_transformation,[],[f6703]) ).
fof(f10487,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_pre_topc(k1_pre_topc(X0),X0) ),
inference(cnf_transformation,[],[f6705]) ).
fof(f10489,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| v5_membered(k1_tops_1(X0,k1_pre_topc(X0))) ),
inference(cnf_transformation,[],[f6706]) ).
fof(f10490,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| v4_membered(k1_tops_1(X0,k1_pre_topc(X0))) ),
inference(cnf_transformation,[],[f6706]) ).
fof(f10491,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| v3_membered(k1_tops_1(X0,k1_pre_topc(X0))) ),
inference(cnf_transformation,[],[f6706]) ).
fof(f10492,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| v2_membered(k1_tops_1(X0,k1_pre_topc(X0))) ),
inference(cnf_transformation,[],[f6706]) ).
fof(f10493,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| v1_membered(k1_tops_1(X0,k1_pre_topc(X0))) ),
inference(cnf_transformation,[],[f6706]) ).
fof(f10494,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| v1_xboole_0(k1_tops_1(X0,k1_pre_topc(X0))) ),
inference(cnf_transformation,[],[f6706]) ).
fof(f10495,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v5_membered(k1_pre_topc(X0)) ),
inference(cnf_transformation,[],[f6708]) ).
fof(f10496,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v4_membered(k1_pre_topc(X0)) ),
inference(cnf_transformation,[],[f6708]) ).
fof(f10497,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_membered(k1_pre_topc(X0)) ),
inference(cnf_transformation,[],[f6708]) ).
fof(f10498,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v2_membered(k1_pre_topc(X0)) ),
inference(cnf_transformation,[],[f6708]) ).
fof(f10499,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v1_membered(k1_pre_topc(X0)) ),
inference(cnf_transformation,[],[f6708]) ).
fof(f10500,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v4_pre_topc(k1_pre_topc(X0),X0) ),
inference(cnf_transformation,[],[f6708]) ).
fof(f10501,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v1_xboole_0(k1_pre_topc(X0)) ),
inference(cnf_transformation,[],[f6708]) ).
fof(f10502,plain,
! [X0] :
( ~ l1_struct_0(X0)
| m1_subset_1(k1_pre_topc(X0),k1_zfmisc_1(u1_struct_0(X0))) ),
inference(cnf_transformation,[],[f6709]) ).
fof(f10503,plain,
! [X0,X1] :
( ~ l1_pre_topc(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| m1_subset_1(sK56(X0,X1),u1_struct_0(X0))
| k1_pre_topc(X0) = X1 ),
inference(cnf_transformation,[],[f9338]) ).
fof(f10504,plain,
! [X0,X1] :
( ~ l1_pre_topc(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| r2_hidden(sK56(X0,X1),X1)
| k1_pre_topc(X0) = X1 ),
inference(cnf_transformation,[],[f9338]) ).
fof(f10505,plain,
! [X0] :
( ~ l1_struct_0(X0)
| k2_pre_topc(X0) = k3_subset_1(u1_struct_0(X0),k1_pre_topc(X0)) ),
inference(cnf_transformation,[],[f6712]) ).
fof(f10506,plain,
! [X0] :
( ~ l1_struct_0(X0)
| k1_xboole_0 = k1_pre_topc(X0) ),
inference(cnf_transformation,[],[f6713]) ).
fof(f10507,plain,
! [X0] :
( ~ l1_struct_0(X0)
| v5_membered(k1_pre_topc(X0)) ),
inference(cnf_transformation,[],[f6714]) ).
fof(f10508,plain,
! [X0] :
( ~ l1_struct_0(X0)
| v4_membered(k1_pre_topc(X0)) ),
inference(cnf_transformation,[],[f6714]) ).
fof(f10509,plain,
! [X0] :
( ~ l1_struct_0(X0)
| v3_membered(k1_pre_topc(X0)) ),
inference(cnf_transformation,[],[f6714]) ).
fof(f10510,plain,
! [X0] :
( ~ l1_struct_0(X0)
| v2_membered(k1_pre_topc(X0)) ),
inference(cnf_transformation,[],[f6714]) ).
fof(f10511,plain,
! [X0] :
( ~ l1_struct_0(X0)
| v1_membered(k1_pre_topc(X0)) ),
inference(cnf_transformation,[],[f6714]) ).
fof(f10512,plain,
! [X0] :
( ~ l1_struct_0(X0)
| v1_xboole_0(k1_pre_topc(X0)) ),
inference(cnf_transformation,[],[f6714]) ).
fof(f10513,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| m2_subset_1(k2_pre_topc(X0),k1_zfmisc_1(u1_struct_0(X0)),k1_lopclset(X0)) ),
inference(cnf_transformation,[],[f6716]) ).
fof(f10515,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| k2_pre_topc(X0) = k1_tops_1(X0,k2_pre_topc(X0)) ),
inference(cnf_transformation,[],[f6720]) ).
fof(f10516,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| k2_pre_topc(X0) = k6_pre_topc(X0,k2_pre_topc(X0)) ),
inference(cnf_transformation,[],[f6721]) ).
fof(f10517,plain,
! [X0,X1] :
( ~ l1_struct_0(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| k2_pre_topc(X0) = k4_subset_1(u1_struct_0(X0),X1,k2_pre_topc(X0)) ),
inference(cnf_transformation,[],[f6722]) ).
fof(f10519,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_pre_topc(k2_pre_topc(X0),X0) ),
inference(cnf_transformation,[],[f6724]) ).
fof(f10520,plain,
! [X0] :
( ~ l1_struct_0(X0)
| m1_subset_1(k2_pre_topc(X0),k1_zfmisc_1(u1_struct_0(X0))) ),
inference(cnf_transformation,[],[f6725]) ).
fof(f10521,plain,
! [X2,X3,X0,X1] :
( ~ l1_pre_topc(X0)
| ~ m1_pre_topc(X1,X0)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1)))
| X2 != X3
| k6_pre_topc(X1,X3) = k3_xboole_0(k6_pre_topc(X0,X2),k2_pre_topc(X1)) ),
inference(cnf_transformation,[],[f6727]) ).
fof(f10522,plain,
! [X2,X0,X1] :
( ~ l1_pre_topc(X0)
| ~ m1_pre_topc(X1,X0)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ v4_pre_topc(X2,X1)
| k3_xboole_0(sK57(X0,X1,X2),k2_pre_topc(X1)) = X2 ),
inference(cnf_transformation,[],[f9341]) ).
fof(f10523,plain,
! [X2,X0,X1] :
( ~ l1_pre_topc(X0)
| ~ m1_pre_topc(X1,X0)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ v4_pre_topc(X2,X1)
| v4_pre_topc(sK57(X0,X1,X2),X0) ),
inference(cnf_transformation,[],[f9341]) ).
fof(f10524,plain,
! [X2,X0,X1] :
( ~ l1_pre_topc(X0)
| ~ m1_pre_topc(X1,X0)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ v4_pre_topc(X2,X1)
| m1_subset_1(sK57(X0,X1,X2),k1_zfmisc_1(u1_struct_0(X0))) ),
inference(cnf_transformation,[],[f9341]) ).
fof(f10525,plain,
! [X2,X3,X0,X1] :
( ~ l1_pre_topc(X0)
| ~ m1_pre_topc(X1,X0)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| k3_xboole_0(X3,k2_pre_topc(X1)) != X2
| ~ v4_pre_topc(X3,X0)
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0)))
| v4_pre_topc(X2,X1) ),
inference(cnf_transformation,[],[f9341]) ).
fof(f10527,plain,
! [X0,X1] :
( ~ l1_struct_0(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| k2_pre_topc(X0) = k4_subset_1(u1_struct_0(X0),X1,k3_subset_1(u1_struct_0(X0),X1)) ),
inference(cnf_transformation,[],[f6731]) ).
fof(f10528,plain,
! [X0,X1] :
( ~ l1_struct_0(X0)
| ~ r1_tarski(X1,k2_pre_topc(X0))
| m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) ),
inference(cnf_transformation,[],[f6732]) ).
fof(f10529,plain,
! [X0,X1] :
( ~ l1_struct_0(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| k5_subset_1(u1_struct_0(X0),X1,k2_pre_topc(X0)) = X1 ),
inference(cnf_transformation,[],[f6733]) ).
fof(f10530,plain,
! [X0,X1] :
( ~ l1_struct_0(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| r1_tarski(X1,k2_pre_topc(X0)) ),
inference(cnf_transformation,[],[f6734]) ).
fof(f10531,plain,
! [X0,X1] :
( ~ l1_struct_0(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| r2_hidden(X1,k2_pre_topc(X0)) ),
inference(cnf_transformation,[],[f6736]) ).
fof(f10533,plain,
! [X0] :
( ~ l1_struct_0(X0)
| u1_struct_0(X0) = k2_pre_topc(X0) ),
inference(cnf_transformation,[],[f6738]) ).
fof(f10534,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v4_pre_topc(k2_pre_topc(X0),X0) ),
inference(cnf_transformation,[],[f6740]) ).
fof(f10535,plain,
! [X0] :
( ~ l1_struct_0(X0)
| v3_struct_0(X0)
| ~ v1_xboole_0(k2_pre_topc(X0)) ),
inference(cnf_transformation,[],[f6742]) ).
fof(f10536,plain,
! [X0,X1] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| ~ m2_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)),k1_lopclset(X0))
| m2_subset_1(k3_subset_1(u1_struct_0(X0),X1),k1_zfmisc_1(u1_struct_0(X0)),k1_lopclset(X0)) ),
inference(cnf_transformation,[],[f6744]) ).
fof(f10537,plain,
! [X0,X1] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ v4_pre_topc(X1,X0)
| ~ v3_pre_topc(X1,X0)
| r2_hidden(X1,k1_lopclset(X0)) ),
inference(cnf_transformation,[],[f6746]) ).
fof(f10538,plain,
! [X0,X1] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ r2_hidden(X1,k1_lopclset(X0))
| v4_pre_topc(X1,X0) ),
inference(cnf_transformation,[],[f6748]) ).
fof(f10539,plain,
! [X0,X1] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ r2_hidden(X1,k1_lopclset(X0))
| v3_pre_topc(X1,X0) ),
inference(cnf_transformation,[],[f6750]) ).
fof(f10540,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| ~ v1_xboole_0(k1_lopclset(X0)) ),
inference(cnf_transformation,[],[f6752]) ).
fof(f10541,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| v3_struct_0(X0)
| m1_subset_1(k1_lopclset(X0),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(X0)))) ),
inference(cnf_transformation,[],[f6754]) ).
fof(f10542,plain,
! [X0,X1] : k5_finsub_1(k3_xboole_0(X0,X1)) = k3_xboole_0(k5_finsub_1(X0),k5_finsub_1(X1)),
inference(cnf_transformation,[],[f2405]) ).
fof(f10545,plain,
! [X0,X1] :
( ~ v1_finset_1(X1)
| v1_finset_1(k3_xboole_0(X0,X1)) ),
inference(cnf_transformation,[],[f6757]) ).
fof(f10546,plain,
! [X2,X3,X0,X1] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| k2_xboole_0(X0,X1) != X2
| ~ r2_hidden(X3,k3_xboole_0(k1_relat_1(X0),k1_relat_1(X1)))
| k1_funct_1(X0,X3) = k1_funct_1(X1,X3) ),
inference(cnf_transformation,[],[f6759]) ).
fof(f10547,plain,
! [X0,X1] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| v1_funct_1(sK59(X0,X1))
| r2_hidden(sK58(X0,X1),k3_xboole_0(k1_relat_1(X0),k1_relat_1(X1))) ),
inference(cnf_transformation,[],[f9342]) ).
fof(f10548,plain,
! [X0,X1] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| v1_relat_1(sK59(X0,X1))
| r2_hidden(sK58(X0,X1),k3_xboole_0(k1_relat_1(X0),k1_relat_1(X1))) ),
inference(cnf_transformation,[],[f9342]) ).
fof(f10549,plain,
! [X0,X1] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| k2_xboole_0(X0,X1) = sK59(X0,X1)
| r2_hidden(sK58(X0,X1),k3_xboole_0(k1_relat_1(X0),k1_relat_1(X1))) ),
inference(cnf_transformation,[],[f9342]) ).
fof(f10550,plain,
! [X0,X1] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| v1_funct_1(sK59(X0,X1))
| k1_funct_1(X0,sK58(X0,X1)) != k1_funct_1(X1,sK58(X0,X1)) ),
inference(cnf_transformation,[],[f9342]) ).
fof(f10551,plain,
! [X0,X1] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| v1_relat_1(sK59(X0,X1))
| k1_funct_1(X0,sK58(X0,X1)) != k1_funct_1(X1,sK58(X0,X1)) ),
inference(cnf_transformation,[],[f9342]) ).
fof(f10552,plain,
! [X0,X1] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| k2_xboole_0(X0,X1) = sK59(X0,X1)
| k1_funct_1(X0,sK58(X0,X1)) != k1_funct_1(X1,sK58(X0,X1)) ),
inference(cnf_transformation,[],[f9342]) ).
fof(f10553,plain,
! [X0,X1] :
( ~ v1_relat_1(X0)
| ~ v1_relat_1(X1)
| r1_tarski(k2_relat_1(k3_xboole_0(X0,X1)),k3_xboole_0(k2_relat_1(X0),k2_relat_1(X1))) ),
inference(cnf_transformation,[],[f6762]) ).
fof(f10554,plain,
! [X0] :
( ~ v1_relat_1(X0)
| k3_xboole_0(X0,k2_zfmisc_1(k1_relat_1(X0),k2_relat_1(X0))) = X0 ),
inference(cnf_transformation,[],[f6763]) ).
fof(f10555,plain,
! [X0,X1] :
( ~ v1_relat_1(X0)
| ~ v1_relat_1(X1)
| r1_tarski(k1_relat_1(k3_xboole_0(X0,X1)),k3_xboole_0(k1_relat_1(X0),k1_relat_1(X1))) ),
inference(cnf_transformation,[],[f6764]) ).
fof(f10556,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| v1_relat_1(k3_xboole_0(X0,X1)) ),
inference(cnf_transformation,[],[f6765]) ).
fof(f10559,plain,
! [X2,X3,X0,X1] :
( ~ r1_tarski(X2,X3)
| ~ r1_tarski(X0,X1)
| k2_zfmisc_1(X0,X2) = k3_xboole_0(k2_zfmisc_1(X0,X3),k2_zfmisc_1(X1,X2)) ),
inference(cnf_transformation,[],[f6771]) ).
fof(f10560,plain,
! [X2,X3,X0,X1] : k2_zfmisc_1(k3_xboole_0(X0,X1),k3_xboole_0(X2,X3)) = k3_xboole_0(k2_zfmisc_1(X0,X2),k2_zfmisc_1(X1,X3)),
inference(cnf_transformation,[],[f448]) ).
fof(f10563,plain,
! [X2,X3,X0,X1,X4] :
( r2_hidden(sK61(X0,X1,X2,X3,X4),k3_xboole_0(X2,X4))
| ~ r2_hidden(X0,k3_xboole_0(k2_zfmisc_1(X1,X2),k2_zfmisc_1(X3,X4))) ),
inference(cnf_transformation,[],[f9343]) ).
fof(f10564,plain,
! [X2,X3,X0,X1,X4] :
( r2_hidden(sK60(X0,X1,X2,X3,X4),k3_xboole_0(X1,X3))
| ~ r2_hidden(X0,k3_xboole_0(k2_zfmisc_1(X1,X2),k2_zfmisc_1(X3,X4))) ),
inference(cnf_transformation,[],[f9343]) ).
fof(f10565,plain,
! [X2,X3,X0,X1,X4] :
( k4_tarski(sK60(X0,X1,X2,X3,X4),sK61(X0,X1,X2,X3,X4)) = X0
| ~ r2_hidden(X0,k3_xboole_0(k2_zfmisc_1(X1,X2),k2_zfmisc_1(X3,X4))) ),
inference(cnf_transformation,[],[f9343]) ).
fof(f10566,plain,
! [X0,X1] : k1_zfmisc_1(k3_xboole_0(X0,X1)) = k3_xboole_0(k1_zfmisc_1(X0),k1_zfmisc_1(X1)),
inference(cnf_transformation,[],[f408]) ).
fof(f10567,plain,
! [X0,X1] :
( ~ r2_hidden(X0,X1)
| k1_tarski(X0) = k3_xboole_0(X1,k1_tarski(X0)) ),
inference(cnf_transformation,[],[f6773]) ).
fof(f10568,plain,
! [X0,X1] :
( k1_tarski(X1) != k3_xboole_0(X0,k1_tarski(X1))
| r2_hidden(X1,X0) ),
inference(cnf_transformation,[],[f6774]) ).
fof(f10569,plain,
! [X0,X1] :
( k1_tarski(X0) != k3_xboole_0(k1_tarski(X0),k1_tarski(X1))
| X0 = X1 ),
inference(cnf_transformation,[],[f6775]) ).
fof(f10570,plain,
! [X2,X0,X1] : k4_xboole_0(k3_xboole_0(X0,X1),k3_xboole_0(X2,X1)) = k3_xboole_0(k4_xboole_0(X0,X2),X1),
inference(cnf_transformation,[],[f180]) ).
fof(f10573,plain,
! [X2,X0,X1] : k4_xboole_0(X0,k3_xboole_0(X1,X2)) = k2_xboole_0(k4_xboole_0(X0,X1),k4_xboole_0(X0,X2)),
inference(cnf_transformation,[],[f123]) ).
fof(f10574,plain,
! [X2,X0,X1] : k4_xboole_0(X0,k2_xboole_0(X1,X2)) = k3_xboole_0(k4_xboole_0(X0,X1),k4_xboole_0(X0,X2)),
inference(cnf_transformation,[],[f122]) ).
fof(f10575,plain,
! [X2,X0,X1] : k4_xboole_0(X0,k4_xboole_0(X1,X2)) = k2_xboole_0(k4_xboole_0(X0,X1),k3_xboole_0(X0,X2)),
inference(cnf_transformation,[],[f121]) ).
fof(f10577,plain,
! [X2,X0,X1] : k3_xboole_0(X0,k4_xboole_0(X1,X2)) = k4_xboole_0(k3_xboole_0(X0,X1),k3_xboole_0(X0,X2)),
inference(cnf_transformation,[],[f119]) ).
fof(f10578,plain,
! [X2,X0,X1] : k3_xboole_0(X0,k4_xboole_0(X1,X2)) = k4_xboole_0(k3_xboole_0(X0,X1),X2),
inference(cnf_transformation,[],[f118]) ).
fof(f10579,plain,
! [X0,X1] : k3_xboole_0(X0,X1) = k4_xboole_0(X0,k4_xboole_0(X0,X1)),
inference(cnf_transformation,[],[f117]) ).
fof(f10580,plain,
! [X0,X1] : k4_xboole_0(X0,X1) = k4_xboole_0(X0,k3_xboole_0(X0,X1)),
inference(cnf_transformation,[],[f116]) ).
fof(f10581,plain,
! [X2,X0,X1] : r1_tarski(k2_xboole_0(k3_xboole_0(X0,X1),k3_xboole_0(X0,X2)),k2_xboole_0(X1,X2)),
inference(cnf_transformation,[],[f100]) ).
fof(f10582,plain,
! [X2,X0,X1] :
( ~ r1_tarski(X0,X1)
| k2_xboole_0(X0,k3_xboole_0(X2,X1)) = k3_xboole_0(k2_xboole_0(X0,X2),X1) ),
inference(cnf_transformation,[],[f6777]) ).
fof(f10583,plain,
! [X2,X0,X1] : r1_tarski(k3_xboole_0(X0,X1),k2_xboole_0(X0,X2)),
inference(cnf_transformation,[],[f98]) ).
fof(f10584,plain,
! [X0,X1] :
( ~ r1_tarski(X0,X1)
| k3_xboole_0(X0,X1) = X0 ),
inference(cnf_transformation,[],[f6778]) ).
fof(f10585,plain,
! [X2,X3,X0,X1] :
( ~ r1_tarski(X2,X3)
| ~ r1_tarski(X0,X1)
| r1_tarski(k3_xboole_0(X0,X2),k3_xboole_0(X1,X3)) ),
inference(cnf_transformation,[],[f6780]) ).
fof(f10586,plain,
! [X2,X0,X1] :
( ~ r1_tarski(X0,X1)
| r1_tarski(k3_xboole_0(X0,X2),k3_xboole_0(X1,X2)) ),
inference(cnf_transformation,[],[f6781]) ).
fof(f10587,plain,
! [X2,X0,X1] : k2_xboole_0(k2_xboole_0(k3_xboole_0(X0,X1),k3_xboole_0(X1,X2)),k3_xboole_0(X2,X0)) = k3_xboole_0(k3_xboole_0(k2_xboole_0(X0,X1),k2_xboole_0(X1,X2)),k2_xboole_0(X2,X0)),
inference(cnf_transformation,[],[f94]) ).
fof(f10588,plain,
! [X2,X0,X1] : k2_xboole_0(X0,k3_xboole_0(X1,X2)) = k3_xboole_0(k2_xboole_0(X0,X1),k2_xboole_0(X0,X2)),
inference(cnf_transformation,[],[f93]) ).
fof(f10589,plain,
! [X2,X0,X1] : k3_xboole_0(X0,k2_xboole_0(X1,X2)) = k2_xboole_0(k3_xboole_0(X0,X1),k3_xboole_0(X0,X2)),
inference(cnf_transformation,[],[f92]) ).
fof(f10590,plain,
! [X0,X1] : k2_xboole_0(X0,k3_xboole_0(X0,X1)) = X0,
inference(cnf_transformation,[],[f91]) ).
fof(f10592,plain,
! [X2,X0,X1] :
( r1_tarski(sK62(X0,X1,X2),X2)
| ~ r1_tarski(X0,X2)
| ~ r1_tarski(X0,X1)
| k3_xboole_0(X1,X2) = X0 ),
inference(cnf_transformation,[],[f9344]) ).
fof(f10593,plain,
! [X2,X0,X1] :
( r1_tarski(sK62(X0,X1,X2),X1)
| ~ r1_tarski(X0,X2)
| ~ r1_tarski(X0,X1)
| k3_xboole_0(X1,X2) = X0 ),
inference(cnf_transformation,[],[f9344]) ).
fof(f10594,plain,
! [X2,X0,X1] :
( ~ r1_tarski(sK62(X0,X1,X2),X0)
| ~ r1_tarski(X0,X2)
| ~ r1_tarski(X0,X1)
| k3_xboole_0(X1,X2) = X0 ),
inference(cnf_transformation,[],[f9344]) ).
fof(f10595,plain,
! [X2,X0,X1] :
( ~ r1_tarski(X0,X2)
| ~ r1_tarski(X0,X1)
| r1_tarski(X0,k3_xboole_0(X1,X2)) ),
inference(cnf_transformation,[],[f6785]) ).
fof(f10598,plain,
! [X2,X0,X1] : k3_xboole_0(k3_xboole_0(X0,X1),X2) = k3_xboole_0(X0,k3_xboole_0(X1,X2)),
inference(cnf_transformation,[],[f85]) ).
fof(f10599,plain,
! [X0] : k1_xboole_0 = k3_xboole_0(X0,k1_xboole_0),
inference(cnf_transformation,[],[f63]) ).
fof(f10601,plain,
! [X0,X1] : k3_xboole_0(X0,X1) = k3_xboole_0(X1,X0),
inference(cnf_transformation,[],[f57]) ).
fof(f10602,plain,
! [X2,X0,X1,X4] :
( k3_xboole_0(X0,X1) != X2
| ~ r2_hidden(X4,X2)
| r2_hidden(X4,X1) ),
inference(cnf_transformation,[],[f9348]) ).
fof(f10604,plain,
! [X2,X0,X1,X4] :
( k3_xboole_0(X0,X1) != X2
| ~ r2_hidden(X4,X1)
| ~ r2_hidden(X4,X0)
| r2_hidden(X4,X2) ),
inference(cnf_transformation,[],[f9348]) ).
fof(f10605,plain,
! [X2,X0,X1] :
( r2_hidden(sK63(X0,X1,X2),X2)
| r2_hidden(sK63(X0,X1,X2),X1)
| k3_xboole_0(X0,X1) = X2 ),
inference(cnf_transformation,[],[f9348]) ).
fof(f10606,plain,
! [X2,X0,X1] :
( r2_hidden(sK63(X0,X1,X2),X2)
| r2_hidden(sK63(X0,X1,X2),X0)
| k3_xboole_0(X0,X1) = X2 ),
inference(cnf_transformation,[],[f9348]) ).
fof(f10607,plain,
! [X2,X0,X1] :
( ~ r2_hidden(sK63(X0,X1,X2),X2)
| ~ r2_hidden(sK63(X0,X1,X2),X1)
| ~ r2_hidden(sK63(X0,X1,X2),X0)
| k3_xboole_0(X0,X1) = X2 ),
inference(cnf_transformation,[],[f9348]) ).
fof(f10614,plain,
! [X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v1_xboole_0(X1)
| ~ m1_filter_0(X1,X0)
| sP8(X1,X0) ),
inference(cnf_transformation,[],[f9355]) ).
fof(f10615,plain,
! [X0,X1,X4,X5] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v1_xboole_0(X1)
| ~ m1_filter_0(X1,X0)
| ~ m1_subset_1(X4,u1_struct_0(X0))
| ~ m1_subset_1(X5,u1_struct_0(X0))
| ~ r2_hidden(X5,X1)
| ~ r2_hidden(X4,X1)
| r2_hidden(k4_lattices(X0,X4,X5),X1) ),
inference(cnf_transformation,[],[f9355]) ).
fof(f10616,plain,
! [X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v1_xboole_0(X1)
| ~ sP8(X1,X0)
| m1_subset_1(sK66(X0,X1),u1_struct_0(X0))
| m1_filter_0(X1,X0) ),
inference(cnf_transformation,[],[f9355]) ).
fof(f10617,plain,
! [X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v1_xboole_0(X1)
| ~ sP8(X1,X0)
| m1_subset_1(sK67(X0,X1),u1_struct_0(X0))
| m1_filter_0(X1,X0) ),
inference(cnf_transformation,[],[f9355]) ).
fof(f10618,plain,
! [X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v1_xboole_0(X1)
| ~ sP8(X1,X0)
| r2_hidden(sK67(X0,X1),X1)
| m1_filter_0(X1,X0) ),
inference(cnf_transformation,[],[f9355]) ).
fof(f10619,plain,
! [X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v1_xboole_0(X1)
| ~ sP8(X1,X0)
| r2_hidden(sK66(X0,X1),X1)
| m1_filter_0(X1,X0) ),
inference(cnf_transformation,[],[f9355]) ).
fof(f10620,plain,
! [X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v1_xboole_0(X1)
| ~ sP8(X1,X0)
| ~ r2_hidden(k4_lattices(X0,sK66(X0,X1),sK67(X0,X1)),X1)
| m1_filter_0(X1,X0) ),
inference(cnf_transformation,[],[f9355]) ).
fof(f10622,plain,
! [X0,X1,X4,X5] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v1_xboole_0(X1)
| ~ m1_filter_0(X1,X0)
| ~ m1_subset_1(X4,u1_struct_0(X0))
| ~ m1_subset_1(X5,u1_struct_0(X0))
| ~ r2_hidden(k4_lattices(X0,X4,X5),X1)
| r2_hidden(X5,X1) ),
inference(cnf_transformation,[],[f9359]) ).
fof(f10623,plain,
! [X0,X1,X4,X5] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v1_xboole_0(X1)
| ~ m1_filter_0(X1,X0)
| ~ m1_subset_1(X4,u1_struct_0(X0))
| ~ m1_subset_1(X5,u1_struct_0(X0))
| ~ r2_hidden(k4_lattices(X0,X4,X5),X1)
| r2_hidden(X4,X1) ),
inference(cnf_transformation,[],[f9359]) ).
fof(f10624,plain,
! [X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v1_xboole_0(X1)
| m1_subset_1(sK68(X0,X1),u1_struct_0(X0))
| m1_filter_0(X1,X0) ),
inference(cnf_transformation,[],[f9359]) ).
fof(f10625,plain,
! [X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v1_xboole_0(X1)
| m1_subset_1(sK69(X0,X1),u1_struct_0(X0))
| m1_filter_0(X1,X0) ),
inference(cnf_transformation,[],[f9359]) ).
fof(f10626,plain,
! [X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v1_xboole_0(X1)
| r2_hidden(sK69(X0,X1),X1)
| r2_hidden(k4_lattices(X0,sK68(X0,X1),sK69(X0,X1)),X1)
| m1_filter_0(X1,X0) ),
inference(cnf_transformation,[],[f9359]) ).
fof(f10627,plain,
! [X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v1_xboole_0(X1)
| r2_hidden(sK68(X0,X1),X1)
| r2_hidden(k4_lattices(X0,sK68(X0,X1),sK69(X0,X1)),X1)
| m1_filter_0(X1,X0) ),
inference(cnf_transformation,[],[f9359]) ).
fof(f10628,plain,
! [X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v1_xboole_0(X1)
| ~ r2_hidden(sK69(X0,X1),X1)
| ~ r2_hidden(sK68(X0,X1),X1)
| ~ r2_hidden(k4_lattices(X0,sK68(X0,X1),sK69(X0,X1)),X1)
| m1_filter_0(X1,X0) ),
inference(cnf_transformation,[],[f9359]) ).
fof(f10629,plain,
! [X2,X3,X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X3,u1_struct_0(X0))
| ~ r3_lattices(X0,X1,X3)
| ~ r3_lattices(X0,X1,X2)
| r3_lattices(X0,X1,k4_lattices(X0,X2,X3)) ),
inference(cnf_transformation,[],[f6792]) ).
fof(f10630,plain,
! [X2,X3,X0,X1,X4] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X3,u1_struct_0(X0))
| ~ m1_subset_1(X4,u1_struct_0(X0))
| ~ r3_lattices(X0,X3,X4)
| ~ r3_lattices(X0,X1,X2)
| r3_lattices(X0,k4_lattices(X0,X1,X3),k4_lattices(X0,X4,X2)) ),
inference(cnf_transformation,[],[f6794]) ).
fof(f10631,plain,
! [X2,X3,X0,X1,X4] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X3,u1_struct_0(X0))
| ~ m1_subset_1(X4,u1_struct_0(X0))
| ~ r3_lattices(X0,X3,X4)
| ~ r3_lattices(X0,X1,X2)
| r3_lattices(X0,k4_lattices(X0,X1,X3),k4_lattices(X0,X2,X4)) ),
inference(cnf_transformation,[],[f6794]) ).
fof(f10632,plain,
! [X2,X3,X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X3,u1_struct_0(X0))
| ~ r3_lattices(X0,X1,X2)
| r3_lattices(X0,k4_lattices(X0,X3,X1),X2) ),
inference(cnf_transformation,[],[f6796]) ).
fof(f10633,plain,
! [X2,X3,X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X3,u1_struct_0(X0))
| ~ r3_lattices(X0,X1,X2)
| r3_lattices(X0,k4_lattices(X0,X1,X3),X2) ),
inference(cnf_transformation,[],[f6796]) ).
fof(f10634,plain,
! [X0,X8,X9,X7] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| m1_subset_1(sK73(X0),u1_struct_0(X0))
| ~ m1_subset_1(X7,u1_struct_0(X0))
| ~ m1_subset_1(X8,u1_struct_0(X0))
| ~ m1_subset_1(X9,u1_struct_0(X0))
| k3_lattices(X0,X7,k4_lattices(X0,X8,X9)) = k4_lattices(X0,k3_lattices(X0,X7,X8),k3_lattices(X0,X7,X9)) ),
inference(cnf_transformation,[],[f9362]) ).
fof(f10635,plain,
! [X0,X8,X9,X7] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| m1_subset_1(sK74(X0),u1_struct_0(X0))
| ~ m1_subset_1(X7,u1_struct_0(X0))
| ~ m1_subset_1(X8,u1_struct_0(X0))
| ~ m1_subset_1(X9,u1_struct_0(X0))
| k3_lattices(X0,X7,k4_lattices(X0,X8,X9)) = k4_lattices(X0,k3_lattices(X0,X7,X8),k3_lattices(X0,X7,X9)) ),
inference(cnf_transformation,[],[f9362]) ).
fof(f10636,plain,
! [X0,X8,X9,X7] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| m1_subset_1(sK75(X0),u1_struct_0(X0))
| ~ m1_subset_1(X7,u1_struct_0(X0))
| ~ m1_subset_1(X8,u1_struct_0(X0))
| ~ m1_subset_1(X9,u1_struct_0(X0))
| k3_lattices(X0,X7,k4_lattices(X0,X8,X9)) = k4_lattices(X0,k3_lattices(X0,X7,X8),k3_lattices(X0,X7,X9)) ),
inference(cnf_transformation,[],[f9362]) ).
fof(f10637,plain,
! [X0,X8,X9,X7] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| k4_lattices(X0,sK73(X0),k3_lattices(X0,sK74(X0),sK75(X0))) != k3_lattices(X0,k4_lattices(X0,sK73(X0),sK74(X0)),k4_lattices(X0,sK73(X0),sK75(X0)))
| ~ m1_subset_1(X7,u1_struct_0(X0))
| ~ m1_subset_1(X8,u1_struct_0(X0))
| ~ m1_subset_1(X9,u1_struct_0(X0))
| k3_lattices(X0,X7,k4_lattices(X0,X8,X9)) = k4_lattices(X0,k3_lattices(X0,X7,X8),k3_lattices(X0,X7,X9)) ),
inference(cnf_transformation,[],[f9362]) ).
fof(f10638,plain,
! [X2,X3,X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| m1_subset_1(sK70(X0),u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X3,u1_struct_0(X0))
| k4_lattices(X0,X1,k3_lattices(X0,X2,X3)) = k3_lattices(X0,k4_lattices(X0,X1,X2),k4_lattices(X0,X1,X3)) ),
inference(cnf_transformation,[],[f9362]) ).
fof(f10639,plain,
! [X2,X3,X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| m1_subset_1(sK71(X0),u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X3,u1_struct_0(X0))
| k4_lattices(X0,X1,k3_lattices(X0,X2,X3)) = k3_lattices(X0,k4_lattices(X0,X1,X2),k4_lattices(X0,X1,X3)) ),
inference(cnf_transformation,[],[f9362]) ).
fof(f10640,plain,
! [X2,X3,X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| m1_subset_1(sK72(X0),u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X3,u1_struct_0(X0))
| k4_lattices(X0,X1,k3_lattices(X0,X2,X3)) = k3_lattices(X0,k4_lattices(X0,X1,X2),k4_lattices(X0,X1,X3)) ),
inference(cnf_transformation,[],[f9362]) ).
fof(f10641,plain,
! [X2,X3,X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| k3_lattices(X0,sK70(X0),k4_lattices(X0,sK71(X0),sK72(X0))) != k4_lattices(X0,k3_lattices(X0,sK70(X0),sK71(X0)),k3_lattices(X0,sK70(X0),sK72(X0)))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X3,u1_struct_0(X0))
| k4_lattices(X0,X1,k3_lattices(X0,X2,X3)) = k3_lattices(X0,k4_lattices(X0,X1,X2),k4_lattices(X0,X1,X3)) ),
inference(cnf_transformation,[],[f9362]) ).
fof(f10642,plain,
! [X0,X1] : r1_tarski(k2_xboole_0(k5_finsub_1(X0),k5_finsub_1(X1)),k5_finsub_1(k2_xboole_0(X0,X1))),
inference(cnf_transformation,[],[f2406]) ).
fof(f10644,plain,
! [X0,X1] :
( ~ v1_finset_1(X1)
| ~ v1_finset_1(X0)
| v1_finset_1(k2_xboole_0(X0,X1)) ),
inference(cnf_transformation,[],[f6802]) ).
fof(f10645,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ r1_tarski(X3,k2_zfmisc_1(X4,X5))
| ~ r1_tarski(X0,k2_zfmisc_1(X1,X2))
| r1_tarski(k2_xboole_0(X0,X3),k2_zfmisc_1(k2_xboole_0(X1,X4),k2_xboole_0(X2,X5))) ),
inference(cnf_transformation,[],[f6804]) ).
fof(f10646,plain,
! [X0,X1] :
( ~ v1_relat_1(X0)
| ~ v1_relat_1(X1)
| k2_relat_1(k2_xboole_0(X0,X1)) = k2_xboole_0(k2_relat_1(X0),k2_relat_1(X1)) ),
inference(cnf_transformation,[],[f6805]) ).
fof(f10647,plain,
! [X0,X1] :
( ~ v1_relat_1(X0)
| ~ v1_relat_1(X1)
| k1_relat_1(k2_xboole_0(X0,X1)) = k2_xboole_0(k1_relat_1(X0),k1_relat_1(X1)) ),
inference(cnf_transformation,[],[f6806]) ).
fof(f10648,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| ~ v1_relat_1(X0)
| v1_relat_1(k2_xboole_0(X0,X1)) ),
inference(cnf_transformation,[],[f6808]) ).
fof(f10651,plain,
! [X2,X3,X0,X1] : k4_xboole_0(k2_zfmisc_1(X0,X1),k2_zfmisc_1(X2,X3)) = k2_xboole_0(k2_zfmisc_1(k4_xboole_0(X0,X2),X1),k2_zfmisc_1(X0,k4_xboole_0(X1,X3))),
inference(cnf_transformation,[],[f451]) ).
fof(f10653,plain,
! [X2,X0,X1] : k2_zfmisc_1(X2,k2_xboole_0(X0,X1)) = k2_xboole_0(k2_zfmisc_1(X2,X0),k2_zfmisc_1(X2,X1)),
inference(cnf_transformation,[],[f445]) ).
fof(f10654,plain,
! [X2,X0,X1] : k2_zfmisc_1(k2_xboole_0(X0,X1),X2) = k2_xboole_0(k2_zfmisc_1(X0,X2),k2_zfmisc_1(X1,X2)),
inference(cnf_transformation,[],[f445]) ).
fof(f10655,plain,
! [X0,X1] : r1_tarski(k2_zfmisc_1(X0,X1),k1_zfmisc_1(k1_zfmisc_1(k2_xboole_0(X0,X1)))),
inference(cnf_transformation,[],[f430]) ).
fof(f10656,plain,
! [X0,X1] : r1_tarski(k1_zfmisc_1(k4_xboole_0(X0,X1)),k2_xboole_0(k1_tarski(k1_xboole_0),k4_xboole_0(k1_zfmisc_1(X0),k1_zfmisc_1(X1)))),
inference(cnf_transformation,[],[f409]) ).
fof(f10657,plain,
! [X0,X1] : r1_tarski(k2_xboole_0(k1_zfmisc_1(X0),k1_zfmisc_1(X1)),k1_zfmisc_1(k2_xboole_0(X0,X1))),
inference(cnf_transformation,[],[f406]) ).
fof(f10661,plain,
! [X2,X0,X1] :
( ~ r1_tarski(k4_xboole_0(X0,X1),X2)
| r1_tarski(X0,k2_xboole_0(X1,X2)) ),
inference(cnf_transformation,[],[f6812]) ).
fof(f10662,plain,
! [X2,X0,X1] :
( ~ r1_tarski(X0,k2_xboole_0(X1,X2))
| r1_tarski(k4_xboole_0(X0,X1),X2) ),
inference(cnf_transformation,[],[f6813]) ).
fof(f10663,plain,
! [X2,X0,X1] : k4_xboole_0(k2_xboole_0(X0,X1),X2) = k2_xboole_0(k4_xboole_0(X0,X2),k4_xboole_0(X1,X2)),
inference(cnf_transformation,[],[f111]) ).
fof(f10664,plain,
! [X2,X0,X1] : k4_xboole_0(k4_xboole_0(X0,X1),X2) = k4_xboole_0(X0,k2_xboole_0(X1,X2)),
inference(cnf_transformation,[],[f110]) ).
fof(f10665,plain,
! [X0,X1] : k4_xboole_0(X0,X1) = k4_xboole_0(k2_xboole_0(X0,X1),X1),
inference(cnf_transformation,[],[f109]) ).
fof(f10666,plain,
! [X0,X1] : k2_xboole_0(X0,X1) = k2_xboole_0(X0,k4_xboole_0(X1,X0)),
inference(cnf_transformation,[],[f108]) ).
fof(f10667,plain,
! [X0,X1] :
( k1_xboole_0 != k2_xboole_0(X0,X1)
| k1_xboole_0 = X0 ),
inference(cnf_transformation,[],[f6814]) ).
fof(f10668,plain,
! [X2,X0,X1] :
( r1_tarski(X2,sK76(X0,X1,X2))
| ~ r1_tarski(X2,X1)
| ~ r1_tarski(X0,X1)
| k2_xboole_0(X0,X2) = X1 ),
inference(cnf_transformation,[],[f9363]) ).
fof(f10669,plain,
! [X2,X0,X1] :
( r1_tarski(X0,sK76(X0,X1,X2))
| ~ r1_tarski(X2,X1)
| ~ r1_tarski(X0,X1)
| k2_xboole_0(X0,X2) = X1 ),
inference(cnf_transformation,[],[f9363]) ).
fof(f10670,plain,
! [X2,X0,X1] :
( ~ r1_tarski(X1,sK76(X0,X1,X2))
| ~ r1_tarski(X2,X1)
| ~ r1_tarski(X0,X1)
| k2_xboole_0(X0,X2) = X1 ),
inference(cnf_transformation,[],[f9363]) ).
fof(f10671,plain,
! [X2,X3,X0,X1] :
( ~ r1_tarski(X2,X3)
| ~ r1_tarski(X0,X1)
| r1_tarski(k2_xboole_0(X0,X2),k2_xboole_0(X1,X3)) ),
inference(cnf_transformation,[],[f6818]) ).
fof(f10672,plain,
! [X0,X1] :
( ~ r1_tarski(X0,X1)
| k2_xboole_0(X0,X1) = X1 ),
inference(cnf_transformation,[],[f6819]) ).
fof(f10673,plain,
! [X2,X0,X1] :
( ~ r1_tarski(k2_xboole_0(X0,X1),X2)
| r1_tarski(X0,X2) ),
inference(cnf_transformation,[],[f6820]) ).
fof(f10674,plain,
! [X2,X0,X1] :
( ~ r1_tarski(X0,X1)
| r1_tarski(X0,k2_xboole_0(X2,X1)) ),
inference(cnf_transformation,[],[f6821]) ).
fof(f10675,plain,
! [X2,X0,X1] :
( ~ r1_tarski(X0,X1)
| r1_tarski(k2_xboole_0(X0,X2),k2_xboole_0(X1,X2)) ),
inference(cnf_transformation,[],[f6822]) ).
fof(f10676,plain,
! [X2,X0,X1] :
( ~ r1_tarski(X2,X1)
| ~ r1_tarski(X0,X1)
| r1_tarski(k2_xboole_0(X0,X2),X1) ),
inference(cnf_transformation,[],[f6824]) ).
fof(f10677,plain,
! [X0,X1] : r1_tarski(X0,k2_xboole_0(X0,X1)),
inference(cnf_transformation,[],[f76]) ).
fof(f10678,plain,
! [X0,X1] : k2_xboole_0(X0,X1) = k2_xboole_0(X0,k2_xboole_0(X0,X1)),
inference(cnf_transformation,[],[f75]) ).
fof(f10679,plain,
! [X2,X0,X1] : k2_xboole_0(k2_xboole_0(X0,X1),X2) = k2_xboole_0(k2_xboole_0(X0,X2),k2_xboole_0(X1,X2)),
inference(cnf_transformation,[],[f74]) ).
fof(f10680,plain,
! [X2,X0,X1] : k2_xboole_0(k2_xboole_0(X0,X1),X2) = k2_xboole_0(X0,k2_xboole_0(X1,X2)),
inference(cnf_transformation,[],[f73]) ).
fof(f10681,plain,
! [X0] : k2_xboole_0(X0,k1_xboole_0) = X0,
inference(cnf_transformation,[],[f62]) ).
fof(f10682,plain,
! [X0] : k2_xboole_0(X0,X0) = X0,
inference(cnf_transformation,[],[f6474]) ).
fof(f10684,plain,
! [X2,X0,X1,X4] :
( k2_xboole_0(X0,X1) != X2
| ~ r2_hidden(X4,X2)
| r2_hidden(X4,X1)
| r2_hidden(X4,X0) ),
inference(cnf_transformation,[],[f9367]) ).
fof(f10685,plain,
! [X2,X0,X1,X4] :
( k2_xboole_0(X0,X1) != X2
| ~ r2_hidden(X4,X1)
| r2_hidden(X4,X2) ),
inference(cnf_transformation,[],[f9367]) ).
fof(f10686,plain,
! [X2,X0,X1,X4] :
( k2_xboole_0(X0,X1) != X2
| ~ r2_hidden(X4,X0)
| r2_hidden(X4,X2) ),
inference(cnf_transformation,[],[f9367]) ).
fof(f10687,plain,
! [X2,X0,X1] :
( r2_hidden(sK77(X0,X1,X2),X2)
| r2_hidden(sK77(X0,X1,X2),X1)
| r2_hidden(sK77(X0,X1,X2),X0)
| k2_xboole_0(X0,X1) = X2 ),
inference(cnf_transformation,[],[f9367]) ).
fof(f10688,plain,
! [X2,X0,X1] :
( ~ r2_hidden(sK77(X0,X1,X2),X2)
| ~ r2_hidden(sK77(X0,X1,X2),X1)
| k2_xboole_0(X0,X1) = X2 ),
inference(cnf_transformation,[],[f9367]) ).
fof(f10689,plain,
! [X2,X0,X1] :
( ~ r2_hidden(sK77(X0,X1,X2),X2)
| ~ r2_hidden(sK77(X0,X1,X2),X0)
| k2_xboole_0(X0,X1) = X2 ),
inference(cnf_transformation,[],[f9367]) ).
fof(f10690,plain,
! [X0,X1] :
( v1_xboole_0(X0)
| ~ v1_xboole_0(k2_xboole_0(X1,X0)) ),
inference(cnf_transformation,[],[f6825]) ).
fof(f10691,plain,
! [X0,X1] :
( v1_xboole_0(X0)
| ~ v1_xboole_0(k2_xboole_0(X0,X1)) ),
inference(cnf_transformation,[],[f6826]) ).
fof(f10692,plain,
! [X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| m1_subset_1(sK78(X0,X1),u1_struct_0(X0))
| k5_lattices(X0) = X1 ),
inference(cnf_transformation,[],[f9368]) ).
fof(f10693,plain,
! [X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| sK78(X0,X1) != k3_lattices(X0,X1,sK78(X0,X1))
| k5_lattices(X0) = X1 ),
inference(cnf_transformation,[],[f9368]) ).
fof(f10694,plain,
! [X2,X3,X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_filter_0(X3,X0)
| ~ r2_hidden(X1,X3)
| r2_hidden(k3_lattices(X0,X2,X1),X3) ),
inference(cnf_transformation,[],[f6830]) ).
fof(f10695,plain,
! [X2,X3,X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_filter_0(X3,X0)
| ~ r2_hidden(X1,X3)
| r2_hidden(k3_lattices(X0,X1,X2),X3) ),
inference(cnf_transformation,[],[f6830]) ).
fof(f10696,plain,
! [X2,X3,X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X3,u1_struct_0(X0))
| ~ r3_lattices(X0,X3,X2)
| ~ r3_lattices(X0,X1,X2)
| r3_lattices(X0,k3_lattices(X0,X1,X3),X2) ),
inference(cnf_transformation,[],[f6832]) ).
fof(f10697,plain,
! [X2,X3,X0,X1,X4] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X3,u1_struct_0(X0))
| ~ m1_subset_1(X4,u1_struct_0(X0))
| ~ r3_lattices(X0,X3,X4)
| ~ r3_lattices(X0,X1,X2)
| r3_lattices(X0,k3_lattices(X0,X1,X3),k3_lattices(X0,X4,X2)) ),
inference(cnf_transformation,[],[f6834]) ).
fof(f10698,plain,
! [X2,X3,X0,X1,X4] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X3,u1_struct_0(X0))
| ~ m1_subset_1(X4,u1_struct_0(X0))
| ~ r3_lattices(X0,X3,X4)
| ~ r3_lattices(X0,X1,X2)
| r3_lattices(X0,k3_lattices(X0,X1,X3),k3_lattices(X0,X2,X4)) ),
inference(cnf_transformation,[],[f6834]) ).
fof(f10699,plain,
! [X2,X3,X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X3,u1_struct_0(X0))
| ~ r3_lattices(X0,X1,X2)
| r3_lattices(X0,X1,k3_lattices(X0,X2,X3)) ),
inference(cnf_transformation,[],[f6836]) ).
fof(f10700,plain,
! [X2,X3,X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X3,u1_struct_0(X0))
| ~ r3_lattices(X0,X1,X2)
| r3_lattices(X0,X1,k3_lattices(X0,X3,X2)) ),
inference(cnf_transformation,[],[f6836]) ).
fof(f10701,plain,
! [X2,X3,X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X3,u1_struct_0(X0))
| ~ r3_lattices(X0,X1,X2)
| r3_lattices(X0,k3_lattices(X0,X3,X1),k3_lattices(X0,X2,X3)) ),
inference(cnf_transformation,[],[f6838]) ).
fof(f10702,plain,
! [X2,X3,X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X3,u1_struct_0(X0))
| ~ r3_lattices(X0,X1,X2)
| r3_lattices(X0,k3_lattices(X0,X1,X3),k3_lattices(X0,X3,X2)) ),
inference(cnf_transformation,[],[f6838]) ).
fof(f10703,plain,
! [X2,X3,X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X3,u1_struct_0(X0))
| ~ r3_lattices(X0,X1,X2)
| r3_lattices(X0,k3_lattices(X0,X1,X3),k3_lattices(X0,X2,X3)) ),
inference(cnf_transformation,[],[f6838]) ).
fof(f10704,plain,
! [X2,X3,X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X3,u1_struct_0(X0))
| ~ r3_lattices(X0,X1,X2)
| r3_lattices(X0,k3_lattices(X0,X3,X1),k3_lattices(X0,X3,X2)) ),
inference(cnf_transformation,[],[f6838]) ).
fof(f10705,plain,
! [X0,X1] :
( ~ l3_lattices(X0)
| ~ v13_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| k3_lattices(X0,k5_lattices(X0),X1) = X1 ),
inference(cnf_transformation,[],[f6840]) ).
fof(f10706,plain,
! [X2,X3,X0,X1] :
( ~ m2_relset_1(X3,X0,X1)
| ~ v1_funct_2(X3,X0,X1)
| ~ v1_funct_1(X3)
| ~ r1_tarski(X1,X2)
| m2_relset_1(X3,X0,X2)
| k1_xboole_0 != X0 ),
inference(cnf_transformation,[],[f6842]) ).
fof(f10707,plain,
! [X2,X3,X0,X1] :
( ~ m2_relset_1(X3,X0,X1)
| ~ v1_funct_2(X3,X0,X1)
| ~ v1_funct_1(X3)
| ~ r1_tarski(X1,X2)
| v1_funct_2(X3,X0,X2)
| k1_xboole_0 != X0 ),
inference(cnf_transformation,[],[f6842]) ).
fof(f10709,plain,
! [X2,X3,X0,X1] :
( ~ m2_relset_1(X3,X0,X1)
| ~ v1_funct_2(X3,X0,X1)
| ~ v1_funct_1(X3)
| ~ r1_tarski(X1,X2)
| m2_relset_1(X3,X0,X2)
| k1_xboole_0 = X1 ),
inference(cnf_transformation,[],[f6842]) ).
fof(f10710,plain,
! [X2,X3,X0,X1] :
( ~ m2_relset_1(X3,X0,X1)
| ~ v1_funct_2(X3,X0,X1)
| ~ v1_funct_1(X3)
| ~ r1_tarski(X1,X2)
| v1_funct_2(X3,X0,X2)
| k1_xboole_0 = X1 ),
inference(cnf_transformation,[],[f6842]) ).
fof(f10712,plain,
! [X2,X3,X0,X1] :
( ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| ~ m2_relset_1(X3,X0,X1)
| ~ v1_funct_1(X3)
| ~ r1_tarski(X2,X3)
| m2_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f6844]) ).
fof(f10714,plain,
! [X2,X3,X0,X1,X4] :
( ~ m2_relset_1(X4,X0,X1)
| ~ v1_funct_1(X4)
| ~ r1_tarski(X1,X3)
| ~ r1_tarski(X0,X2)
| m2_relset_1(X4,X2,X3) ),
inference(cnf_transformation,[],[f6846]) ).
fof(f10718,plain,
! [X2,X3,X0,X1] :
( ~ m2_relset_1(X3,X0,X1)
| ~ v1_funct_1(X3)
| ~ r1_tarski(X0,X2)
| m2_relset_1(X3,X2,X1) ),
inference(cnf_transformation,[],[f6850]) ).
fof(f10720,plain,
! [X2,X3,X0,X1,X4] :
( ~ m2_relset_1(X4,X0,X2)
| ~ r1_tarski(X2,X3)
| ~ r1_tarski(X0,X1)
| m2_relset_1(X4,X1,X3) ),
inference(cnf_transformation,[],[f6852]) ).
fof(f10721,plain,
! [X2,X3,X0,X1] :
( ~ m2_relset_1(X3,X2,X0)
| ~ r1_tarski(X0,X1)
| m2_relset_1(X3,X2,X1) ),
inference(cnf_transformation,[],[f6854]) ).
fof(f10722,plain,
! [X2,X3,X0,X1] :
( ~ m2_relset_1(X3,X0,X2)
| ~ r1_tarski(X0,X1)
| m2_relset_1(X3,X1,X2) ),
inference(cnf_transformation,[],[f6856]) ).
fof(f10723,plain,
! [X2,X3,X0,X1] :
( ~ m2_relset_1(X3,X1,X2)
| ~ r1_tarski(X0,X3)
| m2_relset_1(X0,X1,X2) ),
inference(cnf_transformation,[],[f6858]) ).
fof(f10724,plain,
! [X0,X1] :
( ~ r1_tarski(X1,X0)
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f6859]) ).
fof(f10725,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| ~ r1_tarski(X0,X1)
| v1_relat_1(X0) ),
inference(cnf_transformation,[],[f6861]) ).
fof(f10726,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(X1))
| r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f9369]) ).
fof(f10727,plain,
! [X0,X1] :
( ~ r1_tarski(X0,X1)
| m1_subset_1(X0,k1_zfmisc_1(X1)) ),
inference(cnf_transformation,[],[f9369]) ).
fof(f10728,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| m1_subset_1(sK79(X1,X2),X1)
| r1_tarski(X1,X2) ),
inference(cnf_transformation,[],[f9370]) ).
fof(f10729,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ r2_hidden(sK79(X1,X2),X2)
| r1_tarski(X1,X2) ),
inference(cnf_transformation,[],[f9370]) ).
fof(f10730,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| m1_subset_1(sK80(X0,X1,X2),X0)
| r1_tarski(X1,X2) ),
inference(cnf_transformation,[],[f9371]) ).
fof(f10731,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| r2_hidden(sK80(X0,X1,X2),X1)
| r1_tarski(X1,X2) ),
inference(cnf_transformation,[],[f9371]) ).
fof(f10732,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ r2_hidden(sK80(X0,X1,X2),X2)
| r1_tarski(X1,X2) ),
inference(cnf_transformation,[],[f9371]) ).
fof(f10733,plain,
! [X2,X3,X0,X1] :
( v1_xboole_0(X0)
| ~ r1_tarski(k2_zfmisc_1(X1,X0),k2_zfmisc_1(X3,X2))
| r1_tarski(X1,X3) ),
inference(cnf_transformation,[],[f6866]) ).
fof(f10734,plain,
! [X2,X3,X0,X1] :
( v1_xboole_0(X0)
| ~ r1_tarski(k2_zfmisc_1(X0,X1),k2_zfmisc_1(X2,X3))
| r1_tarski(X1,X3) ),
inference(cnf_transformation,[],[f6866]) ).
fof(f10735,plain,
! [X2,X3,X0,X1] :
( ~ r1_tarski(k2_zfmisc_1(X0,X1),k2_zfmisc_1(X2,X3))
| r1_tarski(X1,X3)
| k1_xboole_0 = k2_zfmisc_1(X0,X1) ),
inference(cnf_transformation,[],[f6868]) ).
fof(f10736,plain,
! [X2,X3,X0,X1] :
( ~ r1_tarski(k2_zfmisc_1(X0,X1),k2_zfmisc_1(X2,X3))
| r1_tarski(X0,X2)
| k1_xboole_0 = k2_zfmisc_1(X0,X1) ),
inference(cnf_transformation,[],[f6868]) ).
fof(f10737,plain,
! [X0,X1] :
( ~ r1_tarski(X0,k2_zfmisc_1(X1,X0))
| k1_xboole_0 = X0 ),
inference(cnf_transformation,[],[f6869]) ).
fof(f10738,plain,
! [X0,X1] :
( ~ r1_tarski(X0,k2_zfmisc_1(X0,X1))
| k1_xboole_0 = X0 ),
inference(cnf_transformation,[],[f6869]) ).
fof(f10739,plain,
! [X2,X3,X0,X1] :
( ~ r1_tarski(X2,X3)
| ~ r1_tarski(X0,X1)
| r1_tarski(k2_zfmisc_1(X0,X2),k2_zfmisc_1(X1,X3)) ),
inference(cnf_transformation,[],[f6871]) ).
fof(f10740,plain,
! [X2,X0,X1] :
( ~ r1_tarski(X0,X1)
| r1_tarski(k2_zfmisc_1(X2,X0),k2_zfmisc_1(X2,X1)) ),
inference(cnf_transformation,[],[f6872]) ).
fof(f10741,plain,
! [X2,X0,X1] :
( ~ r1_tarski(X0,X1)
| r1_tarski(k2_zfmisc_1(X0,X2),k2_zfmisc_1(X1,X2)) ),
inference(cnf_transformation,[],[f6872]) ).
fof(f10742,plain,
! [X2,X0,X1] :
( r1_tarski(X1,X2)
| ~ r1_tarski(k2_zfmisc_1(X0,X1),k2_zfmisc_1(X0,X2))
| k1_xboole_0 = X0 ),
inference(cnf_transformation,[],[f6873]) ).
fof(f10743,plain,
! [X2,X0,X1] :
( r1_tarski(X1,X2)
| ~ r1_tarski(k2_zfmisc_1(X1,X0),k2_zfmisc_1(X2,X0))
| k1_xboole_0 = X0 ),
inference(cnf_transformation,[],[f6873]) ).
fof(f10745,plain,
! [X0,X1] :
( ~ r1_tarski(X0,X1)
| r1_tarski(k1_zfmisc_1(X0),k1_zfmisc_1(X1)) ),
inference(cnf_transformation,[],[f6875]) ).
fof(f10746,plain,
! [X3,X0,X1] :
( k1_zfmisc_1(X0) != X1
| ~ r2_hidden(X3,X1)
| r1_tarski(X3,X0) ),
inference(cnf_transformation,[],[f9374]) ).
fof(f10747,plain,
! [X3,X0,X1] :
( k1_zfmisc_1(X0) != X1
| ~ r1_tarski(X3,X0)
| r2_hidden(X3,X1) ),
inference(cnf_transformation,[],[f9374]) ).
fof(f10748,plain,
! [X0,X1] :
( r2_hidden(sK81(X0,X1),X1)
| r1_tarski(sK81(X0,X1),X0)
| k1_zfmisc_1(X0) = X1 ),
inference(cnf_transformation,[],[f9374]) ).
fof(f10749,plain,
! [X0,X1] :
( ~ r2_hidden(sK81(X0,X1),X1)
| ~ r1_tarski(sK81(X0,X1),X0)
| k1_zfmisc_1(X0) = X1 ),
inference(cnf_transformation,[],[f9374]) ).
fof(f10750,plain,
! [X0] :
( ~ r1_tarski(X0,k1_xboole_0)
| k1_xboole_0 = X0 ),
inference(cnf_transformation,[],[f6876]) ).
fof(f10751,plain,
! [X0] : r1_tarski(k1_xboole_0,X0),
inference(cnf_transformation,[],[f71]) ).
fof(f10752,plain,
! [X2,X0,X1] :
( ~ r1_tarski(X1,X2)
| ~ r1_tarski(X0,X1)
| r1_tarski(X0,X2) ),
inference(cnf_transformation,[],[f6878]) ).
fof(f10755,plain,
! [X0,X1] :
( ~ r1_tarski(X1,X0)
| ~ r1_tarski(X0,X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f9376]) ).
fof(f10756,plain,
! [X0] : r1_tarski(X0,X0),
inference(cnf_transformation,[],[f6475]) ).
fof(f10757,plain,
! [X3,X0,X1] :
( ~ r1_tarski(X0,X1)
| ~ r2_hidden(X3,X0)
| r2_hidden(X3,X1) ),
inference(cnf_transformation,[],[f9379]) ).
fof(f10758,plain,
! [X0,X1] :
( r2_hidden(sK82(X0,X1),X0)
| r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f9379]) ).
fof(f10759,plain,
! [X0,X1] :
( ~ r2_hidden(sK82(X0,X1),X1)
| r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f9379]) ).
fof(f10760,plain,
v1_funct_1(sK83),
inference(cnf_transformation,[],[f9380]) ).
fof(f10761,plain,
v1_xboole_0(sK83),
inference(cnf_transformation,[],[f9380]) ).
fof(f10762,plain,
v1_relat_1(sK83),
inference(cnf_transformation,[],[f9380]) ).
fof(f10763,plain,
! [X0] :
( ~ v1_xboole_0(X0)
| v1_funct_1(X0) ),
inference(cnf_transformation,[],[f6880]) ).
fof(f10764,plain,
v1_relat_1(sK84),
inference(cnf_transformation,[],[f9381]) ).
fof(f10765,plain,
~ v1_xboole_0(sK84),
inference(cnf_transformation,[],[f9381]) ).
fof(f10768,plain,
! [X0] :
( ~ v1_xboole_0(X0)
| v1_relat_1(X0) ),
inference(cnf_transformation,[],[f6881]) ).
fof(f10769,plain,
v1_relat_1(sK85),
inference(cnf_transformation,[],[f9382]) ).
fof(f10770,plain,
v1_xboole_0(sK85),
inference(cnf_transformation,[],[f9382]) ).
fof(f10771,plain,
! [X2,X0,X1] :
( ~ v1_xboole_0(X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f6882]) ).
fof(f10773,plain,
! [X0,X1] :
( ~ v1_xboole_0(X0)
| ~ m1_subset_1(X1,X0)
| v1_xboole_0(X1) ),
inference(cnf_transformation,[],[f9383]) ).
fof(f10774,plain,
! [X0,X1] :
( ~ v1_xboole_0(X0)
| ~ v1_xboole_0(X1)
| m1_subset_1(X1,X0) ),
inference(cnf_transformation,[],[f9383]) ).
fof(f10775,plain,
! [X0,X1] :
( v1_xboole_0(X0)
| ~ m1_subset_1(X1,X0)
| r2_hidden(X1,X0) ),
inference(cnf_transformation,[],[f9383]) ).
fof(f10777,plain,
! [X0] : v1_xboole_0(sK86(X0)),
inference(cnf_transformation,[],[f9384]) ).
fof(f10778,plain,
! [X0] : m1_subset_1(sK86(X0),k1_zfmisc_1(X0)),
inference(cnf_transformation,[],[f9384]) ).
fof(f10779,plain,
! [X0] :
( v1_xboole_0(X0)
| ~ v1_xboole_0(sK87(X0)) ),
inference(cnf_transformation,[],[f9385]) ).
fof(f10780,plain,
! [X0] :
( v1_xboole_0(X0)
| m1_subset_1(sK87(X0),k1_zfmisc_1(X0)) ),
inference(cnf_transformation,[],[f9385]) ).
fof(f10781,plain,
! [X0] : ~ v1_xboole_0(k1_zfmisc_1(X0)),
inference(cnf_transformation,[],[f471]) ).
fof(f10782,plain,
! [X0,X1] :
( ~ v1_xboole_0(X1)
| X0 = X1
| ~ v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f6887]) ).
fof(f10783,plain,
! [X0,X1] :
( ~ v1_xboole_0(X1)
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f6888]) ).
fof(f10785,plain,
! [X0] :
( ~ v1_xboole_0(X0)
| k1_xboole_0 = X0 ),
inference(cnf_transformation,[],[f9386]) ).
fof(f10787,plain,
~ v1_xboole_0(sK88),
inference(cnf_transformation,[],[f9387]) ).
fof(f10788,plain,
v1_xboole_0(sK89),
inference(cnf_transformation,[],[f9388]) ).
fof(f10790,plain,
! [X3,X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ r2_hidden(X3,k2_zfmisc_1(X1,X1))
| r2_hidden(k1_funct_1(sK90(X0,X1),X3),X1) ),
inference(cnf_transformation,[],[f9389]) ).
fof(f10791,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| m2_relset_1(sK90(X0,X1),k2_zfmisc_1(X0,X0),X0) ),
inference(cnf_transformation,[],[f9389]) ).
fof(f10792,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| v1_funct_2(sK90(X0,X1),k2_zfmisc_1(X0,X0),X0) ),
inference(cnf_transformation,[],[f9389]) ).
fof(f10793,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| v1_funct_1(sK90(X0,X1)) ),
inference(cnf_transformation,[],[f9389]) ).
fof(f10794,plain,
! [X3,X0,X1] :
( ~ m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| ~ r2_hidden(X3,k2_zfmisc_1(sK91(X0,X1),sK91(X0,X1)))
| r2_hidden(k1_funct_1(X1,X3),sK91(X0,X1)) ),
inference(cnf_transformation,[],[f9390]) ).
fof(f10795,plain,
! [X0,X1] :
( ~ m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| m1_subset_1(sK91(X0,X1),k1_zfmisc_1(X0)) ),
inference(cnf_transformation,[],[f9390]) ).
fof(f10796,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ r2_hidden(X1,k2_zfmisc_1(X0,X0))
| r2_hidden(k1_funct_1(X2,X1),X0) ),
inference(cnf_transformation,[],[f6894]) ).
fof(f10797,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X2,X0,X1)
| m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) ),
inference(cnf_transformation,[],[f6895]) ).
fof(f10798,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| v1_relat_1(X2) ),
inference(cnf_transformation,[],[f6896]) ).
fof(f10799,plain,
! [X0,X1] : v1_relat_1(k2_zfmisc_1(X0,X1)),
inference(cnf_transformation,[],[f703]) ).
fof(f10800,plain,
! [X0,X1] :
( v1_xboole_0(X1)
| v1_xboole_0(X0)
| ~ v1_xboole_0(k2_zfmisc_1(X0,X1)) ),
inference(cnf_transformation,[],[f6898]) ).
fof(f10801,plain,
! [X2,X3,X0,X1] :
( k2_zfmisc_1(X0,X1) != k2_zfmisc_1(X2,X3)
| X1 = X3
| k1_xboole_0 = X1
| k1_xboole_0 = X0 ),
inference(cnf_transformation,[],[f6900]) ).
fof(f10802,plain,
! [X2,X3,X0,X1] :
( k2_zfmisc_1(X0,X1) != k2_zfmisc_1(X2,X3)
| X0 = X2
| k1_xboole_0 = X1
| k1_xboole_0 = X0 ),
inference(cnf_transformation,[],[f6900]) ).
fof(f10803,plain,
! [X0,X1] :
( k2_zfmisc_1(X0,X0) != k2_zfmisc_1(X1,X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f6901]) ).
fof(f10805,plain,
! [X0,X1] :
( k1_xboole_0 != k2_zfmisc_1(X0,X1)
| k1_xboole_0 = X1
| k1_xboole_0 = X0 ),
inference(cnf_transformation,[],[f9392]) ).
fof(f10806,plain,
! [X0,X1] :
( k1_xboole_0 != X1
| k1_xboole_0 = k2_zfmisc_1(X0,X1) ),
inference(cnf_transformation,[],[f9392]) ).
fof(f10807,plain,
! [X0,X1] :
( k1_xboole_0 != X0
| k1_xboole_0 = k2_zfmisc_1(X0,X1) ),
inference(cnf_transformation,[],[f9392]) ).
fof(f10808,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ r2_hidden(X5,X0)
| ~ r2_hidden(X4,X5)
| ~ r2_hidden(X3,X4)
| ~ r2_hidden(X2,X3)
| ~ r2_hidden(X1,X2)
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f6904]) ).
fof(f10809,plain,
! [X2,X3,X0,X1,X4] :
( ~ r2_hidden(X4,X0)
| ~ r2_hidden(X3,X4)
| ~ r2_hidden(X2,X3)
| ~ r2_hidden(X1,X2)
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f6905]) ).
fof(f10810,plain,
! [X2,X3,X0,X1] :
( ~ r2_hidden(X3,X0)
| ~ r2_hidden(X2,X3)
| ~ r2_hidden(X1,X2)
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f6906]) ).
fof(f10811,plain,
! [X2,X0,X1] :
( ~ r2_hidden(X2,X0)
| ~ r2_hidden(X1,X2)
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f6907]) ).
fof(f10812,plain,
! [X0,X1] :
( ~ r2_hidden(X0,X1)
| m1_subset_1(X0,X1) ),
inference(cnf_transformation,[],[f6908]) ).
fof(f10813,plain,
! [X3,X0,X1] :
( ~ r2_hidden(X3,sK92(X1))
| ~ r2_hidden(X3,X1)
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f9393]) ).
fof(f10814,plain,
! [X0,X1] :
( r2_hidden(sK92(X1),X1)
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f9393]) ).
fof(f10815,plain,
! [X0,X1] :
( r2_hidden(sK93(X0,X1),X0)
| r2_hidden(sK93(X0,X1),X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f9395]) ).
fof(f10816,plain,
! [X0,X1] :
( ~ r2_hidden(sK93(X0,X1),X0)
| ~ r2_hidden(sK93(X0,X1),X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f9395]) ).
fof(f10817,plain,
! [X0,X1] :
( ~ r2_hidden(X0,X1)
| ~ r2_hidden(X1,X0) ),
inference(cnf_transformation,[],[f6911]) ).
fof(f10818,plain,
! [X0,X1] : m2_relset_1(sK94(X0,X1),X0,X1),
inference(cnf_transformation,[],[f9396]) ).
fof(f10819,plain,
! [X2,X3,X0,X1] :
( ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| ~ v1_funct_1(X3)
| ~ v1_relat_1(X3)
| r2_hidden(sK96(X0,X1,X2,X3),X1)
| k2_zfmisc_1(X0,X1) != k1_relat_1(X3)
| k2_zfmisc_1(X0,X1) != k1_relat_1(X2)
| X2 = X3 ),
inference(cnf_transformation,[],[f9397]) ).
fof(f10820,plain,
! [X2,X3,X0,X1] :
( ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| ~ v1_funct_1(X3)
| ~ v1_relat_1(X3)
| r2_hidden(sK95(X0,X1,X2,X3),X0)
| k2_zfmisc_1(X0,X1) != k1_relat_1(X3)
| k2_zfmisc_1(X0,X1) != k1_relat_1(X2)
| X2 = X3 ),
inference(cnf_transformation,[],[f9397]) ).
fof(f10821,plain,
! [X2,X3,X0,X1] :
( ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| ~ v1_funct_1(X3)
| ~ v1_relat_1(X3)
| k1_funct_1(X2,k4_tarski(sK95(X0,X1,X2,X3),sK96(X0,X1,X2,X3))) != k1_funct_1(X3,k4_tarski(sK95(X0,X1,X2,X3),sK96(X0,X1,X2,X3)))
| k2_zfmisc_1(X0,X1) != k1_relat_1(X3)
| k2_zfmisc_1(X0,X1) != k1_relat_1(X2)
| X2 = X3 ),
inference(cnf_transformation,[],[f9397]) ).
fof(f10822,plain,
! [X2,X3,X0,X1,X4] :
( ~ m2_relset_1(X3,k2_zfmisc_1(X0,X1),X2)
| ~ v1_funct_2(X3,k2_zfmisc_1(X0,X1),X2)
| ~ v1_funct_1(X3)
| ~ m2_relset_1(X4,k2_zfmisc_1(X0,X1),X2)
| ~ v1_funct_2(X4,k2_zfmisc_1(X0,X1),X2)
| ~ v1_funct_1(X4)
| m1_subset_1(sK97(X0,X1,X3,X4),X0)
| X3 = X4 ),
inference(cnf_transformation,[],[f9398]) ).
fof(f10823,plain,
! [X2,X3,X0,X1,X4] :
( ~ m2_relset_1(X3,k2_zfmisc_1(X0,X1),X2)
| ~ v1_funct_2(X3,k2_zfmisc_1(X0,X1),X2)
| ~ v1_funct_1(X3)
| ~ m2_relset_1(X4,k2_zfmisc_1(X0,X1),X2)
| ~ v1_funct_2(X4,k2_zfmisc_1(X0,X1),X2)
| ~ v1_funct_1(X4)
| m1_subset_1(sK98(X0,X1,X3,X4),X1)
| X3 = X4 ),
inference(cnf_transformation,[],[f9398]) ).
fof(f10824,plain,
! [X2,X3,X0,X1,X4] :
( ~ m2_relset_1(X3,k2_zfmisc_1(X0,X1),X2)
| ~ v1_funct_2(X3,k2_zfmisc_1(X0,X1),X2)
| ~ v1_funct_1(X3)
| ~ m2_relset_1(X4,k2_zfmisc_1(X0,X1),X2)
| ~ v1_funct_2(X4,k2_zfmisc_1(X0,X1),X2)
| ~ v1_funct_1(X4)
| k1_funct_1(X3,k4_tarski(sK97(X0,X1,X3,X4),sK98(X0,X1,X3,X4))) != k1_funct_1(X4,k4_tarski(sK97(X0,X1,X3,X4),sK98(X0,X1,X3,X4)))
| X3 = X4 ),
inference(cnf_transformation,[],[f9398]) ).
fof(f10825,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ m2_relset_1(X5,k2_zfmisc_1(X0,X1),X2)
| ~ v1_funct_2(X5,k2_zfmisc_1(X0,X1),X2)
| ~ v1_funct_1(X5)
| ~ r2_hidden(X4,X1)
| ~ r2_hidden(X3,X0)
| r2_hidden(k1_funct_1(X5,k4_tarski(X3,X4)),X2)
| k1_xboole_0 = X2 ),
inference(cnf_transformation,[],[f6917]) ).
fof(f10826,plain,
! [X2,X3,X0,X1,X4] :
( ~ m2_relset_1(X3,k2_zfmisc_1(X0,X1),X2)
| ~ v1_funct_2(X3,k2_zfmisc_1(X0,X1),X2)
| ~ v1_funct_1(X3)
| ~ m2_relset_1(X4,k2_zfmisc_1(X0,X1),X2)
| ~ v1_funct_2(X4,k2_zfmisc_1(X0,X1),X2)
| ~ v1_funct_1(X4)
| r2_hidden(sK100(X0,X1,X3,X4),X1)
| X3 = X4 ),
inference(cnf_transformation,[],[f9399]) ).
fof(f10827,plain,
! [X2,X3,X0,X1,X4] :
( ~ m2_relset_1(X3,k2_zfmisc_1(X0,X1),X2)
| ~ v1_funct_2(X3,k2_zfmisc_1(X0,X1),X2)
| ~ v1_funct_1(X3)
| ~ m2_relset_1(X4,k2_zfmisc_1(X0,X1),X2)
| ~ v1_funct_2(X4,k2_zfmisc_1(X0,X1),X2)
| ~ v1_funct_1(X4)
| r2_hidden(sK99(X0,X1,X3,X4),X0)
| X3 = X4 ),
inference(cnf_transformation,[],[f9399]) ).
fof(f10828,plain,
! [X2,X3,X0,X1,X4] :
( ~ m2_relset_1(X3,k2_zfmisc_1(X0,X1),X2)
| ~ v1_funct_2(X3,k2_zfmisc_1(X0,X1),X2)
| ~ v1_funct_1(X3)
| ~ m2_relset_1(X4,k2_zfmisc_1(X0,X1),X2)
| ~ v1_funct_2(X4,k2_zfmisc_1(X0,X1),X2)
| ~ v1_funct_1(X4)
| k1_funct_1(X3,k4_tarski(sK99(X0,X1,X3,X4),sK100(X0,X1,X3,X4))) != k1_funct_1(X4,k4_tarski(sK99(X0,X1,X3,X4),sK100(X0,X1,X3,X4)))
| X3 = X4 ),
inference(cnf_transformation,[],[f9399]) ).
fof(f10829,plain,
! [X2,X3,X0,X1] :
( ~ m2_relset_1(X2,X0,X1)
| ~ v1_funct_2(X2,X0,X1)
| ~ v1_funct_1(X2)
| ~ m2_relset_1(X3,X0,X1)
| ~ v1_funct_2(X3,X0,X1)
| ~ v1_funct_1(X3)
| m1_subset_1(sK101(X0,X2,X3),X0)
| X2 = X3 ),
inference(cnf_transformation,[],[f9400]) ).
fof(f10830,plain,
! [X2,X3,X0,X1] :
( ~ m2_relset_1(X2,X0,X1)
| ~ v1_funct_2(X2,X0,X1)
| ~ v1_funct_1(X2)
| ~ m2_relset_1(X3,X0,X1)
| ~ v1_funct_2(X3,X0,X1)
| ~ v1_funct_1(X3)
| k1_funct_1(X3,sK101(X0,X2,X3)) != k1_funct_1(X2,sK101(X0,X2,X3))
| X2 = X3 ),
inference(cnf_transformation,[],[f9400]) ).
fof(f10831,plain,
! [X2,X3,X0,X1] :
( ~ m2_relset_1(X2,X0,X1)
| ~ v1_funct_2(X2,X0,X1)
| ~ v1_funct_1(X2)
| ~ m2_relset_1(X3,X0,X1)
| ~ v1_funct_2(X3,X0,X1)
| ~ v1_funct_1(X3)
| r2_hidden(sK102(X0,X2,X3),X0)
| X2 = X3 ),
inference(cnf_transformation,[],[f9401]) ).
fof(f10832,plain,
! [X2,X3,X0,X1] :
( ~ m2_relset_1(X2,X0,X1)
| ~ v1_funct_2(X2,X0,X1)
| ~ v1_funct_1(X2)
| ~ m2_relset_1(X3,X0,X1)
| ~ v1_funct_2(X3,X0,X1)
| ~ v1_funct_1(X3)
| k1_funct_1(X3,sK102(X0,X2,X3)) != k1_funct_1(X2,sK102(X0,X2,X3))
| X2 = X3 ),
inference(cnf_transformation,[],[f9401]) ).
fof(f10833,plain,
! [X2,X3,X0,X1] :
( ~ m2_relset_1(X3,X0,X1)
| ~ v1_funct_2(X3,X0,X1)
| ~ v1_funct_1(X3)
| k1_funct_1(X3,sK103(X0,X2,X3)) = X2
| k2_relat_1(X3) != X1
| ~ r2_hidden(X2,X1) ),
inference(cnf_transformation,[],[f9402]) ).
fof(f10834,plain,
! [X2,X3,X0,X1] :
( ~ m2_relset_1(X3,X0,X1)
| ~ v1_funct_2(X3,X0,X1)
| ~ v1_funct_1(X3)
| r2_hidden(sK103(X0,X2,X3),X0)
| k2_relat_1(X3) != X1
| ~ r2_hidden(X2,X1) ),
inference(cnf_transformation,[],[f9402]) ).
fof(f10835,plain,
! [X2,X0,X1,X4] :
( ~ m2_relset_1(X2,X0,X1)
| ~ v1_funct_2(X2,X0,X1)
| ~ v1_funct_1(X2)
| k1_funct_1(X2,X4) != sK104(X0,X1,X2)
| ~ r2_hidden(X4,X0)
| k2_relat_1(X2) = X1
| k1_xboole_0 = X1 ),
inference(cnf_transformation,[],[f9403]) ).
fof(f10836,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X2,X0,X1)
| ~ v1_funct_2(X2,X0,X1)
| ~ v1_funct_1(X2)
| r2_hidden(sK104(X0,X1,X2),X1)
| k2_relat_1(X2) = X1
| k1_xboole_0 = X1 ),
inference(cnf_transformation,[],[f9403]) ).
fof(f10837,plain,
! [X2,X3,X0,X1] :
( ~ m2_relset_1(X3,X0,X1)
| ~ v1_funct_2(X3,X0,X1)
| ~ v1_funct_1(X3)
| ~ r2_hidden(X2,X0)
| r2_hidden(k1_funct_1(X3,X2),X1)
| k1_xboole_0 = X1 ),
inference(cnf_transformation,[],[f6929]) ).
fof(f10838,plain,
! [X2,X3,X0,X1] :
( ~ m2_relset_1(X3,X0,X1)
| ~ v1_funct_2(X3,X0,X1)
| ~ v1_funct_1(X3)
| ~ r2_hidden(X2,X0)
| r2_hidden(k1_funct_1(X3,X2),k2_relat_1(X3))
| k1_xboole_0 = X1 ),
inference(cnf_transformation,[],[f6931]) ).
fof(f10839,plain,
! [X2,X0,X1] :
( ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| r2_hidden(sK105(X0,X1,X2),X0)
| k1_relat_1(X2) != X0
| m2_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f9404]) ).
fof(f10840,plain,
! [X2,X0,X1] :
( ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| ~ r2_hidden(k1_funct_1(X2,sK105(X0,X1,X2)),X1)
| k1_relat_1(X2) != X0
| m2_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f9404]) ).
fof(f10841,plain,
! [X2,X0,X1] :
( ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| r2_hidden(sK105(X0,X1,X2),X0)
| k1_relat_1(X2) != X0
| v1_funct_2(X2,X0,X1) ),
inference(cnf_transformation,[],[f9404]) ).
fof(f10842,plain,
! [X2,X0,X1] :
( ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| ~ r2_hidden(k1_funct_1(X2,sK105(X0,X1,X2)),X1)
| k1_relat_1(X2) != X0
| v1_funct_2(X2,X0,X1) ),
inference(cnf_transformation,[],[f9404]) ).
fof(f10845,plain,
! [X3,X0,X1] :
( ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| k1_funct_1(X1,X3) != sK106(X0,X1)
| ~ r2_hidden(X3,k1_relat_1(X1))
| r1_tarski(X0,k2_relat_1(X1)) ),
inference(cnf_transformation,[],[f9405]) ).
fof(f10846,plain,
! [X0,X1] :
( ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| r2_hidden(sK106(X0,X1),X0)
| r1_tarski(X0,k2_relat_1(X1)) ),
inference(cnf_transformation,[],[f9405]) ).
fof(f10848,plain,
! [X0,X1,X5] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| k2_relat_1(X0) != X1
| ~ r2_hidden(X5,X1)
| k1_funct_1(X0,sK109(X0,X5)) = X5 ),
inference(cnf_transformation,[],[f9408]) ).
fof(f10849,plain,
! [X0,X1,X5] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| k2_relat_1(X0) != X1
| ~ r2_hidden(X5,X1)
| r2_hidden(sK109(X0,X5),k1_relat_1(X0)) ),
inference(cnf_transformation,[],[f9408]) ).
fof(f10850,plain,
! [X0,X1,X6,X5] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| k2_relat_1(X0) != X1
| k1_funct_1(X0,X6) != X5
| ~ r2_hidden(X6,k1_relat_1(X0))
| r2_hidden(X5,X1) ),
inference(cnf_transformation,[],[f9408]) ).
fof(f10851,plain,
! [X0,X1] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| r2_hidden(sK107(X0,X1),X1)
| sK107(X0,X1) = k1_funct_1(X0,sK108(X0,X1))
| k2_relat_1(X0) = X1 ),
inference(cnf_transformation,[],[f9408]) ).
fof(f10852,plain,
! [X0,X1] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| r2_hidden(sK107(X0,X1),X1)
| r2_hidden(sK108(X0,X1),k1_relat_1(X0))
| k2_relat_1(X0) = X1 ),
inference(cnf_transformation,[],[f9408]) ).
fof(f10853,plain,
! [X3,X0,X1] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ~ r2_hidden(sK107(X0,X1),X1)
| k1_funct_1(X0,X3) != sK107(X0,X1)
| ~ r2_hidden(X3,k1_relat_1(X0))
| k2_relat_1(X0) = X1 ),
inference(cnf_transformation,[],[f9408]) ).
fof(f10854,plain,
! [X0,X1] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| r2_hidden(sK110(X0,X1),k1_relat_1(X0))
| k1_relat_1(X0) != k1_relat_1(X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f9409]) ).
fof(f10855,plain,
! [X0,X1] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| k1_funct_1(X0,sK110(X0,X1)) != k1_funct_1(X1,sK110(X0,X1))
| k1_relat_1(X0) != k1_relat_1(X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f9409]) ).
fof(f10856,plain,
! [X2,X0,X1] :
( ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| ~ r2_hidden(k4_tarski(X0,X1),X2)
| k1_funct_1(X2,X0) = X1 ),
inference(cnf_transformation,[],[f9411]) ).
fof(f10857,plain,
! [X2,X0,X1] :
( ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| ~ r2_hidden(k4_tarski(X0,X1),X2)
| r2_hidden(X0,k1_relat_1(X2)) ),
inference(cnf_transformation,[],[f9411]) ).
fof(f10858,plain,
! [X2,X0,X1] :
( ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| k1_funct_1(X2,X0) != X1
| ~ r2_hidden(X0,k1_relat_1(X2))
| r2_hidden(k4_tarski(X0,X1),X2) ),
inference(cnf_transformation,[],[f9411]) ).
fof(f10859,plain,
! [X2,X0,X1] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| r2_hidden(X1,k1_relat_1(X0))
| k1_funct_1(X0,X1) != X2
| k1_xboole_0 = X2 ),
inference(cnf_transformation,[],[f9412]) ).
fof(f10862,plain,
! [X2,X0,X1] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ~ r2_hidden(X1,k1_relat_1(X0))
| ~ r2_hidden(k4_tarski(X1,X2),X0)
| k1_funct_1(X0,X1) = X2 ),
inference(cnf_transformation,[],[f9412]) ).
fof(f10863,plain,
! [X0,X1] :
( ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| k1_xboole_0 != k1_relat_1(X1)
| m2_relset_1(X1,k1_xboole_0,X0) ),
inference(cnf_transformation,[],[f6947]) ).
fof(f10864,plain,
! [X0,X1] :
( ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| k1_xboole_0 != k1_relat_1(X1)
| v1_funct_2(X1,k1_xboole_0,X0) ),
inference(cnf_transformation,[],[f6947]) ).
fof(f10866,plain,
! [X2,X3,X0,X1] :
( ~ m2_relset_1(X2,X0,k1_xboole_0)
| ~ v1_funct_1(X2)
| ~ m2_relset_1(X3,X1,k1_xboole_0)
| ~ v1_funct_1(X3)
| X2 = X3 ),
inference(cnf_transformation,[],[f6949]) ).
fof(f10867,plain,
! [X0,X1] :
( ~ m2_relset_1(X1,X0,k1_xboole_0)
| ~ v1_funct_1(X1)
| k1_xboole_0 = X1 ),
inference(cnf_transformation,[],[f6951]) ).
fof(f10868,plain,
! [X2,X3,X0,X1] :
( ~ m2_relset_1(X2,k1_xboole_0,X0)
| ~ v1_funct_1(X2)
| ~ m2_relset_1(X3,k1_xboole_0,X1)
| ~ v1_funct_1(X3)
| X2 = X3 ),
inference(cnf_transformation,[],[f6953]) ).
fof(f10869,plain,
! [X0,X1] :
( ~ m2_relset_1(X1,k1_xboole_0,X0)
| ~ v1_funct_1(X1)
| k1_xboole_0 = X1 ),
inference(cnf_transformation,[],[f6955]) ).
fof(f10870,plain,
! [X0,X1] : m2_relset_1(k1_xboole_0,X0,X1),
inference(cnf_transformation,[],[f1407]) ).
fof(f10872,plain,
! [X2,X0,X1] :
( ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| k1_xboole_0 != k1_relat_1(X2)
| m2_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f6957]) ).
fof(f10874,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X2,X1,X0)
| ~ m2_relset_1(X2,X1,k1_xboole_0)
| k1_xboole_0 = X2 ),
inference(cnf_transformation,[],[f6959]) ).
fof(f10875,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X2,X0,X1)
| ~ m2_relset_1(X2,k1_xboole_0,X1)
| k1_xboole_0 = X2 ),
inference(cnf_transformation,[],[f6961]) ).
fof(f10876,plain,
! [X0,X1] : m2_relset_1(k1_xboole_0,X0,X1),
inference(cnf_transformation,[],[f1283]) ).
fof(f10877,plain,
! [X0] :
( v1_funct_1(sK111(X0))
| k1_xboole_0 = X0 ),
inference(cnf_transformation,[],[f9413]) ).
fof(f10878,plain,
! [X0] :
( v1_relat_1(sK111(X0))
| k1_xboole_0 = X0 ),
inference(cnf_transformation,[],[f9413]) ).
fof(f10879,plain,
! [X0] :
( v1_funct_1(sK112(X0))
| k1_xboole_0 = X0 ),
inference(cnf_transformation,[],[f9413]) ).
fof(f10880,plain,
! [X0] :
( v1_relat_1(sK112(X0))
| k1_xboole_0 = X0 ),
inference(cnf_transformation,[],[f9413]) ).
fof(f10881,plain,
! [X0] :
( k1_relat_1(sK112(X0)) = X0
| k1_xboole_0 = X0 ),
inference(cnf_transformation,[],[f9413]) ).
fof(f10882,plain,
! [X0] :
( k1_relat_1(sK111(X0)) = X0
| k1_xboole_0 = X0 ),
inference(cnf_transformation,[],[f9413]) ).
fof(f10883,plain,
! [X0] :
( sK111(X0) != sK112(X0)
| k1_xboole_0 = X0 ),
inference(cnf_transformation,[],[f9413]) ).
fof(f10884,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| m1_subset_1(sK113(X0,X1),X0)
| k1_xboole_0 = X1 ),
inference(cnf_transformation,[],[f9414]) ).
fof(f10885,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| r2_hidden(sK113(X0,X1),X1)
| k1_xboole_0 = X1 ),
inference(cnf_transformation,[],[f9414]) ).
fof(f10886,plain,
! [X0] : m1_subset_1(k1_xboole_0,k1_zfmisc_1(X0)),
inference(cnf_transformation,[],[f486]) ).
fof(f10887,plain,
! [X2,X0] :
( k1_xboole_0 != X0
| ~ r2_hidden(X2,X0) ),
inference(cnf_transformation,[],[f9417]) ).
fof(f10888,plain,
! [X0] :
( r2_hidden(sK114(X0),X0)
| k1_xboole_0 = X0 ),
inference(cnf_transformation,[],[f9417]) ).
fof(f10889,plain,
! [X2,X3,X0,X1] :
( ~ m2_relset_1(X3,X0,X1)
| ~ v1_funct_2(X3,X0,X1)
| ~ v1_funct_1(X3)
| ~ r1_tarski(k2_relat_1(X3),X2)
| m2_relset_1(X3,X0,X2)
| k1_xboole_0 != X0 ),
inference(cnf_transformation,[],[f6967]) ).
fof(f10890,plain,
! [X2,X3,X0,X1] :
( ~ m2_relset_1(X3,X0,X1)
| ~ v1_funct_2(X3,X0,X1)
| ~ v1_funct_1(X3)
| ~ r1_tarski(k2_relat_1(X3),X2)
| v1_funct_2(X3,X0,X2)
| k1_xboole_0 != X0 ),
inference(cnf_transformation,[],[f6967]) ).
fof(f10892,plain,
! [X2,X3,X0,X1] :
( ~ m2_relset_1(X3,X0,X1)
| ~ v1_funct_2(X3,X0,X1)
| ~ v1_funct_1(X3)
| ~ r1_tarski(k2_relat_1(X3),X2)
| m2_relset_1(X3,X0,X2)
| k1_xboole_0 = X1 ),
inference(cnf_transformation,[],[f6967]) ).
fof(f10893,plain,
! [X2,X3,X0,X1] :
( ~ m2_relset_1(X3,X0,X1)
| ~ v1_funct_2(X3,X0,X1)
| ~ v1_funct_1(X3)
| ~ r1_tarski(k2_relat_1(X3),X2)
| v1_funct_2(X3,X0,X2)
| k1_xboole_0 = X1 ),
inference(cnf_transformation,[],[f6967]) ).
fof(f10896,plain,
! [X0,X1] :
( ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ~ r1_tarski(k2_relat_1(X1),X0)
| v1_funct_2(X1,k1_relat_1(X1),X0) ),
inference(cnf_transformation,[],[f6969]) ).
fof(f10899,plain,
! [X0] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| v1_funct_2(X0,k1_relat_1(X0),k2_relat_1(X0)) ),
inference(cnf_transformation,[],[f6971]) ).
fof(f10901,plain,
! [X2,X0,X1] :
( ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| k1_xboole_0 != k2_relat_1(X2)
| m2_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f6973]) ).
fof(f10907,plain,
! [X0] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| m2_relset_1(X0,k1_relat_1(X0),k2_relat_1(X0)) ),
inference(cnf_transformation,[],[f6979]) ).
fof(f10910,plain,
! [X2,X3,X0,X1] :
( ~ m2_relset_1(X3,X2,X0)
| ~ r1_tarski(k2_relat_1(X3),X1)
| m2_relset_1(X3,X2,X1) ),
inference(cnf_transformation,[],[f6981]) ).
fof(f10911,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X2,X0,X1)
| r1_tarski(k2_relat_1(X2),X1) ),
inference(cnf_transformation,[],[f6982]) ).
fof(f10912,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X2,X0,X1)
| r1_tarski(k1_relat_1(X2),X0) ),
inference(cnf_transformation,[],[f6982]) ).
fof(f10913,plain,
! [X2,X0,X1] :
( ~ v1_relat_1(X2)
| ~ r1_tarski(k2_relat_1(X2),X1)
| ~ r1_tarski(k1_relat_1(X2),X0)
| m2_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f6984]) ).
fof(f10914,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| ~ r1_tarski(k2_relat_1(X1),X0)
| m2_relset_1(X1,k1_relat_1(X1),X0) ),
inference(cnf_transformation,[],[f6986]) ).
fof(f10915,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| ~ r1_tarski(k1_relat_1(X1),X0)
| m2_relset_1(X1,X0,k2_relat_1(X1)) ),
inference(cnf_transformation,[],[f6988]) ).
fof(f10916,plain,
! [X0,X1] :
( v1_funct_1(sK115(X0,X1))
| k1_xboole_0 != X1 ),
inference(cnf_transformation,[],[f9418]) ).
fof(f10917,plain,
! [X0,X1] :
( v1_relat_1(sK115(X0,X1))
| k1_xboole_0 != X1 ),
inference(cnf_transformation,[],[f9418]) ).
fof(f10918,plain,
! [X0,X1] :
( r1_tarski(k2_relat_1(sK115(X0,X1)),X0)
| k1_xboole_0 != X1 ),
inference(cnf_transformation,[],[f9418]) ).
fof(f10919,plain,
! [X0,X1] :
( k1_relat_1(sK115(X0,X1)) = X1
| k1_xboole_0 != X1 ),
inference(cnf_transformation,[],[f9418]) ).
fof(f10920,plain,
! [X0,X1] :
( v1_funct_1(sK115(X0,X1))
| k1_xboole_0 = X0 ),
inference(cnf_transformation,[],[f9418]) ).
fof(f10921,plain,
! [X0,X1] :
( v1_relat_1(sK115(X0,X1))
| k1_xboole_0 = X0 ),
inference(cnf_transformation,[],[f9418]) ).
fof(f10922,plain,
! [X0,X1] :
( r1_tarski(k2_relat_1(sK115(X0,X1)),X0)
| k1_xboole_0 = X0 ),
inference(cnf_transformation,[],[f9418]) ).
fof(f10923,plain,
! [X0,X1] :
( k1_relat_1(sK115(X0,X1)) = X1
| k1_xboole_0 = X0 ),
inference(cnf_transformation,[],[f9418]) ).
fof(f10924,plain,
! [X0] :
( ~ v1_relat_1(X0)
| k1_xboole_0 != k1_relat_1(X0)
| k1_xboole_0 = k2_relat_1(X0) ),
inference(cnf_transformation,[],[f9419]) ).
fof(f10925,plain,
! [X0] :
( ~ v1_relat_1(X0)
| k1_xboole_0 != k2_relat_1(X0)
| k1_xboole_0 = k1_relat_1(X0) ),
inference(cnf_transformation,[],[f9419]) ).
fof(f10926,plain,
! [X0] :
( ~ v1_relat_1(X0)
| k1_xboole_0 != k2_relat_1(X0)
| k1_xboole_0 = X0 ),
inference(cnf_transformation,[],[f6993]) ).
fof(f10927,plain,
! [X0] :
( ~ v1_relat_1(X0)
| k1_xboole_0 != k1_relat_1(X0)
| k1_xboole_0 = X0 ),
inference(cnf_transformation,[],[f6993]) ).
fof(f10928,plain,
k1_xboole_0 = k2_relat_1(k1_xboole_0),
inference(cnf_transformation,[],[f764]) ).
fof(f10929,plain,
k1_xboole_0 = k1_relat_1(k1_xboole_0),
inference(cnf_transformation,[],[f764]) ).
fof(f10930,plain,
! [X0,X1] :
( ~ v1_relat_1(X0)
| ~ v1_relat_1(X1)
| r1_tarski(k4_xboole_0(k2_relat_1(X0),k2_relat_1(X1)),k2_relat_1(k4_xboole_0(X0,X1))) ),
inference(cnf_transformation,[],[f6994]) ).
fof(f10931,plain,
! [X0,X1] :
( ~ v1_relat_1(X0)
| ~ v1_relat_1(X1)
| ~ r1_tarski(X0,X1)
| r1_tarski(k2_relat_1(X0),k2_relat_1(X1)) ),
inference(cnf_transformation,[],[f6996]) ).
fof(f10932,plain,
! [X0,X1] :
( ~ v1_relat_1(X0)
| ~ v1_relat_1(X1)
| ~ r1_tarski(X0,X1)
| r1_tarski(k1_relat_1(X0),k1_relat_1(X1)) ),
inference(cnf_transformation,[],[f6996]) ).
fof(f10933,plain,
! [X0] :
( ~ v1_relat_1(X0)
| r1_tarski(X0,k2_zfmisc_1(k1_relat_1(X0),k2_relat_1(X0))) ),
inference(cnf_transformation,[],[f6997]) ).
fof(f10934,plain,
! [X2,X0,X1] :
( ~ v1_relat_1(X2)
| ~ r2_hidden(k4_tarski(X0,X1),X2)
| r2_hidden(X1,k2_relat_1(X2)) ),
inference(cnf_transformation,[],[f6999]) ).
fof(f10936,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| r2_hidden(sK116(X1),k1_relat_1(X1))
| ~ r2_hidden(X0,k2_relat_1(X1)) ),
inference(cnf_transformation,[],[f9420]) ).
fof(f10937,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| r2_hidden(sK117(X1),k2_relat_1(X1))
| ~ r2_hidden(X0,k1_relat_1(X1)) ),
inference(cnf_transformation,[],[f9421]) ).
fof(f10938,plain,
! [X0,X1,X5] :
( ~ v1_relat_1(X0)
| k2_relat_1(X0) != X1
| ~ r2_hidden(X5,X1)
| r2_hidden(k4_tarski(sK120(X0,X5),X5),X0) ),
inference(cnf_transformation,[],[f9424]) ).
fof(f10940,plain,
! [X0,X1] :
( ~ v1_relat_1(X0)
| r2_hidden(sK118(X0,X1),X1)
| r2_hidden(k4_tarski(sK119(X0,X1),sK118(X0,X1)),X0)
| k2_relat_1(X0) = X1 ),
inference(cnf_transformation,[],[f9424]) ).
fof(f10941,plain,
! [X3,X0,X1] :
( ~ v1_relat_1(X0)
| ~ r2_hidden(sK118(X0,X1),X1)
| ~ r2_hidden(k4_tarski(X3,sK118(X0,X1)),X0)
| k2_relat_1(X0) = X1 ),
inference(cnf_transformation,[],[f9424]) ).
fof(f10942,plain,
! [X0] :
( ~ v1_xboole_0(X0)
| v1_relat_1(k2_relat_1(X0)) ),
inference(cnf_transformation,[],[f7005]) ).
fof(f10943,plain,
! [X0] :
( ~ v1_xboole_0(X0)
| v1_xboole_0(k2_relat_1(X0)) ),
inference(cnf_transformation,[],[f7005]) ).
fof(f10944,plain,
! [X0] :
( ~ v1_relat_1(X0)
| v1_xboole_0(X0)
| ~ v1_xboole_0(k2_relat_1(X0)) ),
inference(cnf_transformation,[],[f7007]) ).
fof(f10945,plain,
v1_funct_1(sK121),
inference(cnf_transformation,[],[f9425]) ).
fof(f10946,plain,
v1_relat_1(sK121),
inference(cnf_transformation,[],[f9425]) ).
fof(f10947,plain,
! [X2,X3,X0,X1] :
( ~ m2_relset_1(X3,X0,X2)
| ~ r1_tarski(k1_relat_1(X3),X1)
| m2_relset_1(X3,X1,X2) ),
inference(cnf_transformation,[],[f7009]) ).
fof(f10948,plain,
! [X0] :
( ~ v1_xboole_0(X0)
| v1_relat_1(k1_relat_1(X0)) ),
inference(cnf_transformation,[],[f7010]) ).
fof(f10949,plain,
! [X0] :
( ~ v1_xboole_0(X0)
| v1_xboole_0(k1_relat_1(X0)) ),
inference(cnf_transformation,[],[f7010]) ).
fof(f10950,plain,
! [X0] :
( ~ v1_relat_1(X0)
| v1_xboole_0(X0)
| ~ v1_xboole_0(k1_relat_1(X0)) ),
inference(cnf_transformation,[],[f7012]) ).
fof(f10951,plain,
! [X2,X3,X0,X1] :
( m1_subset_1(sK122(X0,X1,X3),X0)
| ~ r1_tarski(X2,k2_zfmisc_1(X0,X1))
| ~ r2_hidden(X3,X2) ),
inference(cnf_transformation,[],[f9426]) ).
fof(f10952,plain,
! [X2,X3,X0,X1] :
( m1_subset_1(sK123(X0,X1,X3),X1)
| ~ r1_tarski(X2,k2_zfmisc_1(X0,X1))
| ~ r2_hidden(X3,X2) ),
inference(cnf_transformation,[],[f9426]) ).
fof(f10953,plain,
! [X2,X3,X0,X1] :
( k4_tarski(sK122(X0,X1,X3),sK123(X0,X1,X3)) = X3
| ~ r1_tarski(X2,k2_zfmisc_1(X0,X1))
| ~ r2_hidden(X3,X2) ),
inference(cnf_transformation,[],[f9426]) ).
fof(f10954,plain,
! [X2,X3,X0] :
( r1_tarski(X0,k2_zfmisc_1(sK125(X0),sK126(X0)))
| k4_tarski(X2,X3) != sK124(X0) ),
inference(cnf_transformation,[],[f9427]) ).
fof(f10955,plain,
! [X0] :
( r1_tarski(X0,k2_zfmisc_1(sK125(X0),sK126(X0)))
| r2_hidden(sK124(X0),X0) ),
inference(cnf_transformation,[],[f9427]) ).
fof(f10956,plain,
! [X2,X3,X0] :
( k4_tarski(X2,X3) != sK127(X0)
| ~ r2_hidden(X3,X0)
| k1_xboole_0 = X0 ),
inference(cnf_transformation,[],[f9428]) ).
fof(f10957,plain,
! [X2,X3,X0] :
( k4_tarski(X2,X3) != sK127(X0)
| ~ r2_hidden(X2,X0)
| k1_xboole_0 = X0 ),
inference(cnf_transformation,[],[f9428]) ).
fof(f10958,plain,
! [X0] :
( r2_hidden(sK127(X0),X0)
| k1_xboole_0 = X0 ),
inference(cnf_transformation,[],[f9428]) ).
fof(f10959,plain,
! [X2,X3,X0,X1] :
( ~ m2_relset_1(X3,X0,X1)
| r2_hidden(sK129(X0,X1,X2),X1)
| ~ r2_hidden(X2,X3) ),
inference(cnf_transformation,[],[f9429]) ).
fof(f10960,plain,
! [X2,X3,X0,X1] :
( ~ m2_relset_1(X3,X0,X1)
| r2_hidden(sK128(X0,X1,X2),X0)
| ~ r2_hidden(X2,X3) ),
inference(cnf_transformation,[],[f9429]) ).
fof(f10961,plain,
! [X2,X3,X0,X1] :
( ~ m2_relset_1(X3,X0,X1)
| k4_tarski(sK128(X0,X1,X2),sK129(X0,X1,X2)) = X2
| ~ r2_hidden(X2,X3) ),
inference(cnf_transformation,[],[f9429]) ).
fof(f10965,plain,
! [X2,X3,X0] :
( sP9(X0)
| k4_tarski(X2,X3) != sK133(X0)
| v1_funct_1(X0) ),
inference(cnf_transformation,[],[f9433]) ).
fof(f10966,plain,
! [X0] :
( sP9(X0)
| r2_hidden(sK133(X0),X0)
| v1_funct_1(X0) ),
inference(cnf_transformation,[],[f9433]) ).
fof(f10967,plain,
! [X2,X3,X0] :
( sP9(X0)
| k4_tarski(X2,X3) != sK133(X0)
| v1_relat_1(X0) ),
inference(cnf_transformation,[],[f9433]) ).
fof(f10968,plain,
! [X0] :
( sP9(X0)
| r2_hidden(sK133(X0),X0)
| v1_relat_1(X0) ),
inference(cnf_transformation,[],[f9433]) ).
fof(f10969,plain,
! [X0,X6,X4,X5] :
( ~ v1_funct_1(X0)
| ~ r2_hidden(k4_tarski(X4,X6),X0)
| ~ r2_hidden(k4_tarski(X4,X5),X0)
| X5 = X6 ),
inference(cnf_transformation,[],[f9436]) ).
fof(f10970,plain,
! [X0] :
( r2_hidden(k4_tarski(sK134(X0),sK136(X0)),X0)
| v1_funct_1(X0) ),
inference(cnf_transformation,[],[f9436]) ).
fof(f10971,plain,
! [X0] :
( r2_hidden(k4_tarski(sK134(X0),sK135(X0)),X0)
| v1_funct_1(X0) ),
inference(cnf_transformation,[],[f9436]) ).
fof(f10972,plain,
! [X0] :
( sK135(X0) != sK136(X0)
| v1_funct_1(X0) ),
inference(cnf_transformation,[],[f9436]) ).
fof(f10973,plain,
! [X0] :
( ~ v1_relat_1(X0)
| r2_hidden(k4_tarski(sK137(X0),sK138(X0)),X0)
| k1_xboole_0 = X0 ),
inference(cnf_transformation,[],[f9437]) ).
fof(f10974,plain,
! [X0,X1,X5] :
( ~ v1_relat_1(X0)
| k1_relat_1(X0) != X1
| ~ r2_hidden(X5,X1)
| r2_hidden(k4_tarski(X5,sK141(X0,X5)),X0) ),
inference(cnf_transformation,[],[f9440]) ).
fof(f10975,plain,
! [X0,X1,X6,X5] :
( ~ v1_relat_1(X0)
| k1_relat_1(X0) != X1
| ~ r2_hidden(k4_tarski(X5,X6),X0)
| r2_hidden(X5,X1) ),
inference(cnf_transformation,[],[f9440]) ).
fof(f10976,plain,
! [X0,X1] :
( ~ v1_relat_1(X0)
| r2_hidden(sK139(X0,X1),X1)
| r2_hidden(k4_tarski(sK139(X0,X1),sK140(X0,X1)),X0)
| k1_relat_1(X0) = X1 ),
inference(cnf_transformation,[],[f9440]) ).
fof(f10977,plain,
! [X3,X0,X1] :
( ~ v1_relat_1(X0)
| ~ r2_hidden(sK139(X0,X1),X1)
| ~ r2_hidden(k4_tarski(sK139(X0,X1),X3),X0)
| k1_relat_1(X0) = X1 ),
inference(cnf_transformation,[],[f9440]) ).
fof(f10979,plain,
! [X0,X1] :
( ~ v1_relat_1(X0)
| ~ v1_relat_1(X1)
| r2_hidden(k4_tarski(sK142(X0,X1),sK143(X0,X1)),X0)
| r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f9443]) ).
fof(f10980,plain,
! [X0,X1] :
( ~ v1_relat_1(X0)
| ~ v1_relat_1(X1)
| ~ r2_hidden(k4_tarski(sK142(X0,X1),sK143(X0,X1)),X1)
| r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f9443]) ).
fof(f10983,plain,
! [X0,X1] :
( ~ v1_relat_1(X0)
| ~ v1_relat_1(X1)
| r2_hidden(k4_tarski(sK144(X0,X1),sK145(X0,X1)),X0)
| r2_hidden(k4_tarski(sK144(X0,X1),sK145(X0,X1)),X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f9446]) ).
fof(f10984,plain,
! [X0,X1] :
( ~ v1_relat_1(X0)
| ~ v1_relat_1(X1)
| ~ r2_hidden(k4_tarski(sK144(X0,X1),sK145(X0,X1)),X0)
| ~ r2_hidden(k4_tarski(sK144(X0,X1),sK145(X0,X1)),X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f9446]) ).
fof(f10985,plain,
! [X0,X4] :
( ~ v1_relat_1(X0)
| k4_tarski(sK147(X4),sK148(X4)) = X4
| ~ r2_hidden(X4,X0) ),
inference(cnf_transformation,[],[f9449]) ).
fof(f10986,plain,
! [X2,X3,X0] :
( k4_tarski(X2,X3) != sK146(X0)
| v1_relat_1(X0) ),
inference(cnf_transformation,[],[f9449]) ).
fof(f10987,plain,
! [X0] :
( r2_hidden(sK146(X0),X0)
| v1_relat_1(X0) ),
inference(cnf_transformation,[],[f9449]) ).
fof(f10988,plain,
! [X3,X0,X1,X6,X7,X4] :
( r2_hidden(k4_tarski(sK151(X0,X1),sK152(X0,X1)),X0)
| r2_hidden(k4_tarski(sK151(X0,X1),sK152(X0,X1)),X1)
| k4_tarski(X6,X7) != sK150(X1)
| k4_tarski(X3,X4) != sK149(X0)
| X0 = X1 ),
inference(cnf_transformation,[],[f9451]) ).
fof(f10989,plain,
! [X3,X0,X1,X6,X7,X4] :
( ~ r2_hidden(k4_tarski(sK151(X0,X1),sK152(X0,X1)),X0)
| ~ r2_hidden(k4_tarski(sK151(X0,X1),sK152(X0,X1)),X1)
| k4_tarski(X6,X7) != sK150(X1)
| k4_tarski(X3,X4) != sK149(X0)
| X0 = X1 ),
inference(cnf_transformation,[],[f9451]) ).
fof(f10990,plain,
! [X3,X0,X1,X4] :
( r2_hidden(k4_tarski(sK151(X0,X1),sK152(X0,X1)),X0)
| r2_hidden(k4_tarski(sK151(X0,X1),sK152(X0,X1)),X1)
| r2_hidden(sK150(X1),X1)
| k4_tarski(X3,X4) != sK149(X0)
| X0 = X1 ),
inference(cnf_transformation,[],[f9451]) ).
fof(f10991,plain,
! [X3,X0,X1,X4] :
( ~ r2_hidden(k4_tarski(sK151(X0,X1),sK152(X0,X1)),X0)
| ~ r2_hidden(k4_tarski(sK151(X0,X1),sK152(X0,X1)),X1)
| r2_hidden(sK150(X1),X1)
| k4_tarski(X3,X4) != sK149(X0)
| X0 = X1 ),
inference(cnf_transformation,[],[f9451]) ).
fof(f10992,plain,
! [X0,X1,X6,X7] :
( r2_hidden(k4_tarski(sK151(X0,X1),sK152(X0,X1)),X0)
| r2_hidden(k4_tarski(sK151(X0,X1),sK152(X0,X1)),X1)
| k4_tarski(X6,X7) != sK150(X1)
| r2_hidden(sK149(X0),X0)
| X0 = X1 ),
inference(cnf_transformation,[],[f9451]) ).
fof(f10993,plain,
! [X0,X1,X6,X7] :
( ~ r2_hidden(k4_tarski(sK151(X0,X1),sK152(X0,X1)),X0)
| ~ r2_hidden(k4_tarski(sK151(X0,X1),sK152(X0,X1)),X1)
| k4_tarski(X6,X7) != sK150(X1)
| r2_hidden(sK149(X0),X0)
| X0 = X1 ),
inference(cnf_transformation,[],[f9451]) ).
fof(f10994,plain,
! [X0,X1] :
( r2_hidden(k4_tarski(sK151(X0,X1),sK152(X0,X1)),X0)
| r2_hidden(k4_tarski(sK151(X0,X1),sK152(X0,X1)),X1)
| r2_hidden(sK150(X1),X1)
| r2_hidden(sK149(X0),X0)
| X0 = X1 ),
inference(cnf_transformation,[],[f9451]) ).
fof(f10995,plain,
! [X0,X1] :
( ~ r2_hidden(k4_tarski(sK151(X0,X1),sK152(X0,X1)),X0)
| ~ r2_hidden(k4_tarski(sK151(X0,X1),sK152(X0,X1)),X1)
| r2_hidden(sK150(X1),X1)
| r2_hidden(sK149(X0),X0)
| X0 = X1 ),
inference(cnf_transformation,[],[f9451]) ).
fof(f10996,plain,
! [X3,X0,X1,X4] :
( r2_hidden(k4_tarski(sK154(X0,X1),sK155(X0,X1)),X0)
| k4_tarski(X3,X4) != sK153(X0)
| r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f9452]) ).
fof(f10997,plain,
! [X3,X0,X1,X4] :
( ~ r2_hidden(k4_tarski(sK154(X0,X1),sK155(X0,X1)),X1)
| k4_tarski(X3,X4) != sK153(X0)
| r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f9452]) ).
fof(f10998,plain,
! [X0,X1] :
( r2_hidden(k4_tarski(sK154(X0,X1),sK155(X0,X1)),X0)
| r2_hidden(sK153(X0),X0)
| r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f9452]) ).
fof(f10999,plain,
! [X0,X1] :
( ~ r2_hidden(k4_tarski(sK154(X0,X1),sK155(X0,X1)),X1)
| r2_hidden(sK153(X0),X0)
| r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f9452]) ).
fof(f11000,plain,
! [X2,X3,X0,X1,X4,X5] :
( r2_hidden(k4_tarski(sK156(X0,X3),sK157(X0,X3)),X0)
| r2_hidden(k4_tarski(sK156(X0,X3),sK157(X0,X3)),X3)
| ~ r1_tarski(X3,k2_zfmisc_1(X4,X5))
| ~ r1_tarski(X0,k2_zfmisc_1(X1,X2))
| X0 = X3 ),
inference(cnf_transformation,[],[f9454]) ).
fof(f11001,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ r2_hidden(k4_tarski(sK156(X0,X3),sK157(X0,X3)),X0)
| ~ r2_hidden(k4_tarski(sK156(X0,X3),sK157(X0,X3)),X3)
| ~ r1_tarski(X3,k2_zfmisc_1(X4,X5))
| ~ r1_tarski(X0,k2_zfmisc_1(X1,X2))
| X0 = X3 ),
inference(cnf_transformation,[],[f9454]) ).
fof(f11002,plain,
! [X2,X3,X0,X1] :
( r2_hidden(k4_tarski(sK158(X0,X3),sK159(X0,X3)),X0)
| ~ r1_tarski(X0,k2_zfmisc_1(X1,X2))
| r1_tarski(X0,X3) ),
inference(cnf_transformation,[],[f9455]) ).
fof(f11003,plain,
! [X2,X3,X0,X1] :
( ~ r2_hidden(k4_tarski(sK158(X0,X3),sK159(X0,X3)),X3)
| ~ r1_tarski(X0,k2_zfmisc_1(X1,X2))
| r1_tarski(X0,X3) ),
inference(cnf_transformation,[],[f9455]) ).
fof(f11004,plain,
! [X2,X3,X0,X1] :
( r2_hidden(k4_tarski(sK160(X0,X1,X2,X3),sK161(X0,X1,X2,X3)),k2_zfmisc_1(X0,X1))
| r2_hidden(k4_tarski(sK160(X0,X1,X2,X3),sK161(X0,X1,X2,X3)),k2_zfmisc_1(X2,X3))
| k2_zfmisc_1(X0,X1) = k2_zfmisc_1(X2,X3) ),
inference(cnf_transformation,[],[f9457]) ).
fof(f11005,plain,
! [X2,X3,X0,X1] :
( ~ r2_hidden(k4_tarski(sK160(X0,X1,X2,X3),sK161(X0,X1,X2,X3)),k2_zfmisc_1(X0,X1))
| ~ r2_hidden(k4_tarski(sK160(X0,X1,X2,X3),sK161(X0,X1,X2,X3)),k2_zfmisc_1(X2,X3))
| k2_zfmisc_1(X0,X1) = k2_zfmisc_1(X2,X3) ),
inference(cnf_transformation,[],[f9457]) ).
fof(f11006,plain,
! [X2,X3,X0,X1] :
( ~ r2_hidden(k4_tarski(X0,X1),k2_zfmisc_1(X2,X3))
| r2_hidden(k4_tarski(X1,X0),k2_zfmisc_1(X3,X2)) ),
inference(cnf_transformation,[],[f7037]) ).
fof(f11007,plain,
! [X2,X3,X0,X1] :
( ~ r2_hidden(k4_tarski(X0,X1),k2_zfmisc_1(X2,X3))
| r2_hidden(X1,X3) ),
inference(cnf_transformation,[],[f9459]) ).
fof(f11008,plain,
! [X2,X3,X0,X1] :
( ~ r2_hidden(k4_tarski(X0,X1),k2_zfmisc_1(X2,X3))
| r2_hidden(X0,X2) ),
inference(cnf_transformation,[],[f9459]) ).
fof(f11009,plain,
! [X2,X3,X0,X1] :
( ~ r2_hidden(X1,X3)
| ~ r2_hidden(X0,X2)
| r2_hidden(k4_tarski(X0,X1),k2_zfmisc_1(X2,X3)) ),
inference(cnf_transformation,[],[f9459]) ).
fof(f11010,plain,
! [X2,X3,X0,X1] :
( k4_tarski(sK162(X1,X2,X3),sK163(X1,X2,X3)) = X3
| ~ r2_hidden(X3,X0)
| ~ r1_tarski(X0,k2_zfmisc_1(X1,X2)) ),
inference(cnf_transformation,[],[f9460]) ).
fof(f11011,plain,
! [X2,X3,X0,X1] :
( r2_hidden(sK163(X1,X2,X3),X2)
| ~ r2_hidden(X3,X0)
| ~ r1_tarski(X0,k2_zfmisc_1(X1,X2)) ),
inference(cnf_transformation,[],[f9460]) ).
fof(f11012,plain,
! [X2,X3,X0,X1] :
( r2_hidden(sK162(X1,X2,X3),X1)
| ~ r2_hidden(X3,X0)
| ~ r1_tarski(X0,k2_zfmisc_1(X1,X2)) ),
inference(cnf_transformation,[],[f9460]) ).
fof(f11013,plain,
! [X2,X0,X1] :
( k4_tarski(sK164(X0),sK165(X0)) = X0
| ~ r2_hidden(X0,k2_zfmisc_1(X1,X2)) ),
inference(cnf_transformation,[],[f9461]) ).
fof(f11014,plain,
! [X2,X3,X0,X1] :
( k4_tarski(X0,X1) != k4_tarski(X2,X3)
| X1 = X3 ),
inference(cnf_transformation,[],[f7040]) ).
fof(f11015,plain,
! [X2,X3,X0,X1] :
( k4_tarski(X0,X1) != k4_tarski(X2,X3)
| X0 = X2 ),
inference(cnf_transformation,[],[f7040]) ).
fof(f11016,plain,
! [X2,X0,X1,X8] :
( k2_zfmisc_1(X0,X1) != X2
| ~ r2_hidden(X8,X2)
| k4_tarski(sK169(X0,X1,X8),sK170(X0,X1,X8)) = X8 ),
inference(cnf_transformation,[],[f9464]) ).
fof(f11017,plain,
! [X2,X0,X1,X8] :
( k2_zfmisc_1(X0,X1) != X2
| ~ r2_hidden(X8,X2)
| r2_hidden(sK170(X0,X1,X8),X1) ),
inference(cnf_transformation,[],[f9464]) ).
fof(f11018,plain,
! [X2,X0,X1,X8] :
( k2_zfmisc_1(X0,X1) != X2
| ~ r2_hidden(X8,X2)
| r2_hidden(sK169(X0,X1,X8),X0) ),
inference(cnf_transformation,[],[f9464]) ).
fof(f11020,plain,
! [X2,X0,X1] :
( r2_hidden(sK166(X0,X1,X2),X2)
| sK166(X0,X1,X2) = k4_tarski(sK167(X0,X1,X2),sK168(X0,X1,X2))
| k2_zfmisc_1(X0,X1) = X2 ),
inference(cnf_transformation,[],[f9464]) ).
fof(f11021,plain,
! [X2,X0,X1] :
( r2_hidden(sK166(X0,X1,X2),X2)
| r2_hidden(sK168(X0,X1,X2),X1)
| k2_zfmisc_1(X0,X1) = X2 ),
inference(cnf_transformation,[],[f9464]) ).
fof(f11022,plain,
! [X2,X0,X1] :
( r2_hidden(sK166(X0,X1,X2),X2)
| r2_hidden(sK167(X0,X1,X2),X0)
| k2_zfmisc_1(X0,X1) = X2 ),
inference(cnf_transformation,[],[f9464]) ).
fof(f11023,plain,
! [X2,X0,X1,X4,X5] :
( ~ r2_hidden(sK166(X0,X1,X2),X2)
| k4_tarski(X4,X5) != sK166(X0,X1,X2)
| ~ r2_hidden(X5,X1)
| ~ r2_hidden(X4,X0)
| k2_zfmisc_1(X0,X1) = X2 ),
inference(cnf_transformation,[],[f9464]) ).
fof(f11025,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r2_hidden(X0,X1)
| m1_subset_1(X0,X2) ),
inference(cnf_transformation,[],[f7042]) ).
fof(f11026,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(X0)))
| ~ m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(X0)))
| m1_subset_1(sK171(X0,X1,X2),k1_zfmisc_1(X0))
| X1 = X2 ),
inference(cnf_transformation,[],[f9467]) ).
fof(f11027,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(X0)))
| ~ m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(X0)))
| r2_hidden(sK171(X0,X1,X2),X1)
| r2_hidden(sK171(X0,X1,X2),X2)
| X1 = X2 ),
inference(cnf_transformation,[],[f9467]) ).
fof(f11028,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(X0)))
| ~ m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(X0)))
| ~ r2_hidden(sK171(X0,X1,X2),X1)
| ~ r2_hidden(sK171(X0,X1,X2),X2)
| X1 = X2 ),
inference(cnf_transformation,[],[f9467]) ).
fof(f11029,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| m1_subset_1(sK172(X0,X1),X0)
| X0 = X1 ),
inference(cnf_transformation,[],[f9468]) ).
fof(f11030,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ r2_hidden(sK172(X0,X1),X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f9468]) ).
fof(f11031,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| m1_subset_1(sK173(X0,X1,X2),X0)
| X1 = X2 ),
inference(cnf_transformation,[],[f9471]) ).
fof(f11032,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| r2_hidden(sK173(X0,X1,X2),X1)
| r2_hidden(sK173(X0,X1,X2),X2)
| X1 = X2 ),
inference(cnf_transformation,[],[f9471]) ).
fof(f11033,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ r2_hidden(sK173(X0,X1,X2),X1)
| ~ r2_hidden(sK173(X0,X1,X2),X2)
| X1 = X2 ),
inference(cnf_transformation,[],[f9471]) ).
fof(f11034,plain,
l1_group_1(sK174),
inference(cnf_transformation,[],[f9472]) ).
fof(f11035,plain,
! [X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ~ r1_filter_1(X0,X1)
| v3_lattice4(sK175(X0,X1),X0,X1) ),
inference(cnf_transformation,[],[f9475]) ).
fof(f11036,plain,
! [X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ~ r1_filter_1(X0,X1)
| m1_lattice4(sK175(X0,X1),X0,X1) ),
inference(cnf_transformation,[],[f9475]) ).
fof(f11037,plain,
! [X2,X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ~ v3_lattice4(X2,X0,X1)
| ~ m1_lattice4(X2,X0,X1)
| r1_filter_1(X0,X1) ),
inference(cnf_transformation,[],[f9475]) ).
fof(f11038,plain,
! [X2,X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ~ m1_lattice4(X2,X0,X1)
| ~ v3_lattice4(X2,X0,X1)
| v2_lattice4(X2,X0,X1) ),
inference(cnf_transformation,[],[f9477]) ).
fof(f11039,plain,
! [X2,X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ~ m1_lattice4(X2,X0,X1)
| ~ v3_lattice4(X2,X0,X1)
| v1_lattice4(X2,X0,X1) ),
inference(cnf_transformation,[],[f9477]) ).
fof(f11040,plain,
! [X2,X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ~ m1_lattice4(X2,X0,X1)
| ~ v2_lattice4(X2,X0,X1)
| ~ v1_lattice4(X2,X0,X1)
| v3_lattice4(X2,X0,X1) ),
inference(cnf_transformation,[],[f9477]) ).
fof(f11041,plain,
! [X0] :
( ~ l3_lattices(X0)
| v3_realset2(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| k8_lopclset(X0) = k13_lopclset(X0) ),
inference(cnf_transformation,[],[f7054]) ).
fof(f11042,plain,
! [X0] :
( ~ l3_lattices(X0)
| v3_realset2(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| k10_lopclset(X0) = k1_lopclset(k11_lopclset(X0)) ),
inference(cnf_transformation,[],[f7056]) ).
fof(f11043,plain,
! [X0] :
( ~ l3_lattices(X0)
| v3_realset2(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| r1_tarski(k10_lopclset(X0),k1_lopclset(k11_lopclset(X0))) ),
inference(cnf_transformation,[],[f7058]) ).
fof(f11044,plain,
! [X0,X1] :
( ~ l3_lattices(X0)
| v3_realset2(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(k11_lopclset(X0))))
| ~ r2_hidden(X1,k10_lopclset(X0))
| v3_pre_topc(X1,k11_lopclset(X0)) ),
inference(cnf_transformation,[],[f7060]) ).
fof(f11046,plain,
! [X0] :
( ~ l3_lattices(X0)
| v3_realset2(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ v3_struct_0(k11_lopclset(X0)) ),
inference(cnf_transformation,[],[f7062]) ).
fof(f11047,plain,
! [X0] :
( ~ l3_lattices(X0)
| v3_realset2(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| l1_pre_topc(k11_lopclset(X0)) ),
inference(cnf_transformation,[],[f7064]) ).
fof(f11048,plain,
! [X0] :
( ~ l3_lattices(X0)
| v3_realset2(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| v2_pre_topc(k11_lopclset(X0)) ),
inference(cnf_transformation,[],[f7064]) ).
fof(f11049,plain,
! [X0,X1] :
( ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| m1_lattice4(sK176(X0,X1),X0,X1) ),
inference(cnf_transformation,[],[f9478]) ).
fof(f11050,plain,
! [X2,X0,X1] :
( ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_lattice4(X2,X0,X1)
| m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f7068]) ).
fof(f11051,plain,
! [X2,X0,X1] :
( ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_lattice4(X2,X0,X1)
| v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f7068]) ).
fof(f11052,plain,
! [X2,X0,X1] :
( ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_lattice4(X2,X0,X1)
| v1_funct_1(X2) ),
inference(cnf_transformation,[],[f7068]) ).
fof(f11053,plain,
! [X2,X3,X0,X1,X4] :
( ~ l3_lattices(X0)
| ~ v16_lattices(X0)
| ~ v15_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X1)
| ~ v3_filter_0(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ~ m1_lattice4(X2,X1,X0)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X4,u1_struct_0(X1))
| r3_lattices(X0,k4_lattices(X0,k8_funct_2(u1_struct_0(X1),u1_struct_0(X0),X2,X3),k8_funct_2(u1_struct_0(X1),u1_struct_0(X0),X2,k4_filter_0(X1,X3,X4))),k8_funct_2(u1_struct_0(X1),u1_struct_0(X0),X2,X4)) ),
inference(cnf_transformation,[],[f7070]) ).
fof(f11054,plain,
! [X2,X3,X0,X1,X4] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X3,u1_struct_0(X0))
| ~ m1_lattice4(X4,X0,X1)
| ~ r3_lattices(X0,X2,X3)
| r3_lattices(X1,k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X4,X2),k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X4,X3)) ),
inference(cnf_transformation,[],[f7072]) ).
fof(f11055,plain,
! [X2,X0,X1,X6,X5] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X2)
| ~ m1_lattice4(X2,X0,X1)
| ~ m1_subset_1(X5,u1_struct_0(X0))
| ~ m1_subset_1(X6,u1_struct_0(X0))
| k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,k4_lattices(X0,X5,X6)) = k4_lattices(X1,k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,X5),k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,X6)) ),
inference(cnf_transformation,[],[f9481]) ).
fof(f11056,plain,
! [X2,X0,X1,X6,X5] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X2)
| ~ m1_lattice4(X2,X0,X1)
| ~ m1_subset_1(X5,u1_struct_0(X0))
| ~ m1_subset_1(X6,u1_struct_0(X0))
| k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,k3_lattices(X0,X5,X6)) = k3_lattices(X1,k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,X5),k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,X6)) ),
inference(cnf_transformation,[],[f9481]) ).
fof(f11057,plain,
! [X2,X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X2)
| m1_subset_1(sK177(X0,X1,X2),u1_struct_0(X0))
| m1_lattice4(X2,X0,X1) ),
inference(cnf_transformation,[],[f9481]) ).
fof(f11058,plain,
! [X2,X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X2)
| m1_subset_1(sK178(X0,X1,X2),u1_struct_0(X0))
| m1_lattice4(X2,X0,X1) ),
inference(cnf_transformation,[],[f9481]) ).
fof(f11059,plain,
! [X2,X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X2)
| k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,k4_lattices(X0,sK177(X0,X1,X2),sK178(X0,X1,X2))) != k4_lattices(X1,k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,sK177(X0,X1,X2)),k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,sK178(X0,X1,X2)))
| k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,k3_lattices(X0,sK177(X0,X1,X2),sK178(X0,X1,X2))) != k3_lattices(X1,k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,sK177(X0,X1,X2)),k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,sK178(X0,X1,X2)))
| m1_lattice4(X2,X0,X1) ),
inference(cnf_transformation,[],[f9481]) ).
fof(f11060,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| m1_filter_0(sK179(X0),X0) ),
inference(cnf_transformation,[],[f9482]) ).
fof(f11061,plain,
! [X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_filter_0(X1,X0)
| m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) ),
inference(cnf_transformation,[],[f7078]) ).
fof(f11062,plain,
! [X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_filter_0(X1,X0)
| ~ v1_xboole_0(X1) ),
inference(cnf_transformation,[],[f7078]) ).
fof(f11063,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| m1_filter_0(u1_struct_0(X0),X0) ),
inference(cnf_transformation,[],[f7080]) ).
fof(f11064,plain,
! [X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_filter_0(X1,X0)
| r2_hidden(sK180(X0,X1),X1) ),
inference(cnf_transformation,[],[f9483]) ).
fof(f11065,plain,
! [X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_filter_0(X1,X0)
| m1_subset_1(sK180(X0,X1),u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f9483]) ).
fof(f11066,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v3_filter_0(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| v14_lattices(X0) ),
inference(cnf_transformation,[],[f7084]) ).
fof(f11067,plain,
! [X0,X1] :
( ~ sP11(X0,X1)
| ~ sP10(X1,X0)
| l3_lattices(k8_filter_1(X1,X0)) ),
inference(cnf_transformation,[],[f9486]) ).
fof(f11068,plain,
! [X0,X1] :
( ~ sP11(X0,X1)
| ~ sP10(X1,X0)
| v16_lattices(k8_filter_1(X1,X0)) ),
inference(cnf_transformation,[],[f9486]) ).
fof(f11069,plain,
! [X0,X1] :
( ~ sP11(X0,X1)
| ~ sP10(X1,X0)
| v15_lattices(k8_filter_1(X1,X0)) ),
inference(cnf_transformation,[],[f9486]) ).
fof(f11070,plain,
! [X0,X1] :
( ~ sP11(X0,X1)
| ~ sP10(X1,X0)
| v10_lattices(k8_filter_1(X1,X0)) ),
inference(cnf_transformation,[],[f9486]) ).
fof(f11071,plain,
! [X0,X1] :
( ~ sP11(X0,X1)
| ~ sP10(X1,X0)
| ~ v3_struct_0(k8_filter_1(X1,X0)) ),
inference(cnf_transformation,[],[f9486]) ).
fof(f11072,plain,
! [X0,X1] :
( ~ sP11(X0,X1)
| ~ l3_lattices(k8_filter_1(X1,X0))
| ~ v16_lattices(k8_filter_1(X1,X0))
| ~ v15_lattices(k8_filter_1(X1,X0))
| ~ v10_lattices(k8_filter_1(X1,X0))
| v3_struct_0(k8_filter_1(X1,X0))
| sP10(X1,X0) ),
inference(cnf_transformation,[],[f9486]) ).
fof(f11084,plain,
! [X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| sP11(X1,X0) ),
inference(cnf_transformation,[],[f9228]) ).
fof(f11096,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| ~ v6_group_1(X0)
| v3_struct_0(X0)
| sP12(X0) ),
inference(cnf_transformation,[],[f9230]) ).
fof(f11104,plain,
v17_lattices(sK181),
inference(cnf_transformation,[],[f9494]) ).
fof(f11105,plain,
v16_lattices(sK181),
inference(cnf_transformation,[],[f9494]) ).
fof(f11106,plain,
v15_lattices(sK181),
inference(cnf_transformation,[],[f9494]) ).
fof(f11107,plain,
v14_lattices(sK181),
inference(cnf_transformation,[],[f9494]) ).
fof(f11108,plain,
v13_lattices(sK181),
inference(cnf_transformation,[],[f9494]) ).
fof(f11109,plain,
v11_lattices(sK181),
inference(cnf_transformation,[],[f9494]) ).
fof(f11110,plain,
v10_lattices(sK181),
inference(cnf_transformation,[],[f9494]) ).
fof(f11111,plain,
v9_lattices(sK181),
inference(cnf_transformation,[],[f9494]) ).
fof(f11112,plain,
v8_lattices(sK181),
inference(cnf_transformation,[],[f9494]) ).
fof(f11113,plain,
v7_lattices(sK181),
inference(cnf_transformation,[],[f9494]) ).
fof(f11114,plain,
v6_lattices(sK181),
inference(cnf_transformation,[],[f9494]) ).
fof(f11115,plain,
v5_lattices(sK181),
inference(cnf_transformation,[],[f9494]) ).
fof(f11116,plain,
v4_lattices(sK181),
inference(cnf_transformation,[],[f9494]) ).
fof(f11117,plain,
v3_lattices(sK181),
inference(cnf_transformation,[],[f9494]) ).
fof(f11118,plain,
~ v3_struct_0(sK181),
inference(cnf_transformation,[],[f9494]) ).
fof(f11119,plain,
l3_lattices(sK181),
inference(cnf_transformation,[],[f9494]) ).
fof(f11120,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v16_lattices(X0)
| ~ v15_lattices(X0)
| ~ v11_lattices(X0)
| v3_struct_0(X0)
| v17_lattices(X0) ),
inference(cnf_transformation,[],[f7094]) ).
fof(f11122,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| v3_struct_0(X0)
| v16_lattices(X0) ),
inference(cnf_transformation,[],[f7096]) ).
fof(f11123,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| v3_struct_0(X0)
| v15_lattices(X0) ),
inference(cnf_transformation,[],[f7096]) ).
fof(f11124,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| v3_struct_0(X0)
| v14_lattices(X0) ),
inference(cnf_transformation,[],[f7096]) ).
fof(f11125,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| v3_struct_0(X0)
| v13_lattices(X0) ),
inference(cnf_transformation,[],[f7096]) ).
fof(f11126,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| v3_struct_0(X0)
| v11_lattices(X0) ),
inference(cnf_transformation,[],[f7096]) ).
fof(f11128,plain,
v16_lattices(sK182),
inference(cnf_transformation,[],[f9495]) ).
fof(f11129,plain,
v15_lattices(sK182),
inference(cnf_transformation,[],[f9495]) ).
fof(f11130,plain,
v14_lattices(sK182),
inference(cnf_transformation,[],[f9495]) ).
fof(f11131,plain,
v13_lattices(sK182),
inference(cnf_transformation,[],[f9495]) ).
fof(f11132,plain,
v10_lattices(sK182),
inference(cnf_transformation,[],[f9495]) ).
fof(f11133,plain,
v9_lattices(sK182),
inference(cnf_transformation,[],[f9495]) ).
fof(f11134,plain,
v8_lattices(sK182),
inference(cnf_transformation,[],[f9495]) ).
fof(f11135,plain,
v7_lattices(sK182),
inference(cnf_transformation,[],[f9495]) ).
fof(f11136,plain,
v6_lattices(sK182),
inference(cnf_transformation,[],[f9495]) ).
fof(f11137,plain,
v5_lattices(sK182),
inference(cnf_transformation,[],[f9495]) ).
fof(f11138,plain,
v4_lattices(sK182),
inference(cnf_transformation,[],[f9495]) ).
fof(f11139,plain,
v3_lattices(sK182),
inference(cnf_transformation,[],[f9495]) ).
fof(f11140,plain,
~ v3_struct_0(sK182),
inference(cnf_transformation,[],[f9495]) ).
fof(f11141,plain,
l3_lattices(sK182),
inference(cnf_transformation,[],[f9495]) ).
fof(f11142,plain,
v15_lattices(sK183),
inference(cnf_transformation,[],[f9496]) ).
fof(f11143,plain,
v14_lattices(sK183),
inference(cnf_transformation,[],[f9496]) ).
fof(f11144,plain,
v13_lattices(sK183),
inference(cnf_transformation,[],[f9496]) ).
fof(f11145,plain,
v10_lattices(sK183),
inference(cnf_transformation,[],[f9496]) ).
fof(f11146,plain,
v9_lattices(sK183),
inference(cnf_transformation,[],[f9496]) ).
fof(f11147,plain,
v8_lattices(sK183),
inference(cnf_transformation,[],[f9496]) ).
fof(f11148,plain,
v7_lattices(sK183),
inference(cnf_transformation,[],[f9496]) ).
fof(f11149,plain,
v6_lattices(sK183),
inference(cnf_transformation,[],[f9496]) ).
fof(f11150,plain,
v5_lattices(sK183),
inference(cnf_transformation,[],[f9496]) ).
fof(f11151,plain,
v4_lattices(sK183),
inference(cnf_transformation,[],[f9496]) ).
fof(f11152,plain,
v3_lattices(sK183),
inference(cnf_transformation,[],[f9496]) ).
fof(f11153,plain,
~ v3_struct_0(sK183),
inference(cnf_transformation,[],[f9496]) ).
fof(f11154,plain,
l3_lattices(sK183),
inference(cnf_transformation,[],[f9496]) ).
fof(f11155,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v15_lattices(X0)
| v3_struct_0(X0)
| v14_lattices(X0) ),
inference(cnf_transformation,[],[f7098]) ).
fof(f11156,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v15_lattices(X0)
| v3_struct_0(X0)
| v13_lattices(X0) ),
inference(cnf_transformation,[],[f7098]) ).
fof(f11158,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v14_lattices(X0)
| ~ v13_lattices(X0)
| v3_struct_0(X0)
| v15_lattices(X0) ),
inference(cnf_transformation,[],[f7100]) ).
fof(f11160,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| k6_lattices(X0) = k7_lattices(X0,k5_lattices(X0)) ),
inference(cnf_transformation,[],[f7102]) ).
fof(f11161,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| k5_lattices(X0) = k7_lattices(X0,k6_lattices(X0)) ),
inference(cnf_transformation,[],[f7104]) ).
fof(f11162,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v14_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| k6_lattices(X0) = k3_binop_1(u1_struct_0(X0),u1_lattices(X0)) ),
inference(cnf_transformation,[],[f7106]) ).
fof(f11163,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v14_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| r3_binop_1(u1_struct_0(X0),k6_lattices(X0),u1_lattices(X0)) ),
inference(cnf_transformation,[],[f7108]) ).
fof(f11164,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ v1_setwiseo(u1_lattices(X0),u1_struct_0(X0))
| k6_lattices(X0) = k3_binop_1(u1_struct_0(X0),u1_lattices(X0)) ),
inference(cnf_transformation,[],[f7110]) ).
fof(f11165,plain,
! [X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| m1_subset_1(sK184(X0,X1),u1_struct_0(X0))
| k6_lattices(X0) = X1 ),
inference(cnf_transformation,[],[f9497]) ).
fof(f11166,plain,
! [X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| sK184(X0,X1) != k2_binop_1(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),u1_lattices(X0),X1,sK184(X0,X1))
| k6_lattices(X0) = X1 ),
inference(cnf_transformation,[],[f9497]) ).
fof(f11167,plain,
! [X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| m1_subset_1(sK185(X0,X1),u1_struct_0(X0))
| k6_lattices(X0) = X1 ),
inference(cnf_transformation,[],[f9498]) ).
fof(f11168,plain,
! [X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| sK185(X0,X1) != k4_lattices(X0,X1,sK185(X0,X1))
| k6_lattices(X0) = X1 ),
inference(cnf_transformation,[],[f9498]) ).
fof(f11169,plain,
! [X0,X1] :
( ~ l3_lattices(X0)
| ~ v3_filter_0(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| k6_lattices(X0) = k4_filter_0(X0,X1,X1) ),
inference(cnf_transformation,[],[f7116]) ).
fof(f11171,plain,
! [X0] :
( ~ l2_lattices(X0)
| v3_struct_0(X0)
| m1_subset_1(k6_lattices(X0),u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f7120]) ).
fof(f11172,plain,
! [X0,X1] :
( ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| k6_lattices(X0) = k3_lattices(X0,k7_lattices(X0,X1),X1) ),
inference(cnf_transformation,[],[f7122]) ).
fof(f11173,plain,
! [X0,X1] :
( ~ l3_lattices(X0)
| ~ v14_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| r3_lattices(X0,X1,k6_lattices(X0)) ),
inference(cnf_transformation,[],[f7124]) ).
fof(f11174,plain,
! [X0,X1] :
( ~ l3_lattices(X0)
| ~ v14_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| k6_lattices(X0) = k3_lattices(X0,k6_lattices(X0),X1) ),
inference(cnf_transformation,[],[f7126]) ).
fof(f11175,plain,
! [X0,X1] :
( ~ l3_lattices(X0)
| ~ v14_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| k4_lattices(X0,k6_lattices(X0),X1) = X1 ),
inference(cnf_transformation,[],[f7128]) ).
fof(f11176,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v13_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| k5_lattices(X0) = k3_binop_1(u1_struct_0(X0),u2_lattices(X0)) ),
inference(cnf_transformation,[],[f7130]) ).
fof(f11177,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ v1_setwiseo(u2_lattices(X0),u1_struct_0(X0))
| k5_lattices(X0) = k3_binop_1(u1_struct_0(X0),u2_lattices(X0)) ),
inference(cnf_transformation,[],[f7132]) ).
fof(f11178,plain,
! [X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| m1_subset_1(sK186(X0,X1),u1_struct_0(X0))
| k5_lattices(X0) = X1 ),
inference(cnf_transformation,[],[f9499]) ).
fof(f11179,plain,
! [X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| sK186(X0,X1) != k2_binop_1(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),u2_lattices(X0),X1,sK186(X0,X1))
| k5_lattices(X0) = X1 ),
inference(cnf_transformation,[],[f9499]) ).
fof(f11180,plain,
! [X2,X0,X1] :
( ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ r3_lattices(X0,X1,X2)
| k5_lattices(X0) = k4_lattices(X0,X1,k7_lattices(X0,X2)) ),
inference(cnf_transformation,[],[f9500]) ).
fof(f11181,plain,
! [X2,X0,X1] :
( ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| k5_lattices(X0) != k4_lattices(X0,X1,k7_lattices(X0,X2))
| r3_lattices(X0,X1,X2) ),
inference(cnf_transformation,[],[f9500]) ).
fof(f11182,plain,
! [X0] :
( ~ l1_lattices(X0)
| v3_struct_0(X0)
| m1_subset_1(k5_lattices(X0),u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f7138]) ).
fof(f11183,plain,
! [X2,X0,X1] :
( ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| k5_lattices(X0) != k4_lattices(X0,X1,X2)
| r3_lattices(X0,X1,k7_lattices(X0,X2)) ),
inference(cnf_transformation,[],[f9501]) ).
fof(f11184,plain,
! [X2,X0,X1] :
( ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ r3_lattices(X0,X1,k7_lattices(X0,X2))
| k5_lattices(X0) = k4_lattices(X0,X1,X2) ),
inference(cnf_transformation,[],[f9501]) ).
fof(f11185,plain,
! [X0,X1] :
( ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| k5_lattices(X0) = k4_lattices(X0,k7_lattices(X0,X1),X1) ),
inference(cnf_transformation,[],[f7142]) ).
fof(f11186,plain,
! [X0,X1] :
( ~ l3_lattices(X0)
| ~ v13_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| r3_lattices(X0,k5_lattices(X0),X1) ),
inference(cnf_transformation,[],[f7144]) ).
fof(f11187,plain,
! [X0,X1] :
( ~ l3_lattices(X0)
| ~ v13_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| k5_lattices(X0) = k4_lattices(X0,k5_lattices(X0),X1) ),
inference(cnf_transformation,[],[f7146]) ).
fof(f11188,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| v3_filter_0(X0) ),
inference(cnf_transformation,[],[f7148]) ).
fof(f11189,plain,
! [X2,X3,X0,X1,X4,X5] :
( v1_xboole_0(X0)
| ~ m1_subset_1(X1,k5_finsub_1(X0))
| ~ l3_lattices(X2)
| ~ v13_lattices(X2)
| ~ v11_lattices(X2)
| ~ v10_lattices(X2)
| v3_struct_0(X2)
| ~ m2_relset_1(X3,X0,u1_struct_0(X2))
| ~ v1_funct_2(X3,X0,u1_struct_0(X2))
| ~ v1_funct_1(X3)
| ~ m2_relset_1(X4,X0,u1_struct_0(X2))
| ~ v1_funct_2(X4,X0,u1_struct_0(X2))
| ~ v1_funct_1(X4)
| ~ m1_subset_1(X5,u1_struct_0(X2))
| m1_subset_1(sK187(X0,X1,X2,X3,X4,X5),X0)
| k2_lattice2(X0,X2,X1,X3) = k4_lattices(X2,X5,k2_lattice2(X0,X2,X1,X4)) ),
inference(cnf_transformation,[],[f9502]) ).
fof(f11190,plain,
! [X2,X3,X0,X1,X4,X5] :
( v1_xboole_0(X0)
| ~ m1_subset_1(X1,k5_finsub_1(X0))
| ~ l3_lattices(X2)
| ~ v13_lattices(X2)
| ~ v11_lattices(X2)
| ~ v10_lattices(X2)
| v3_struct_0(X2)
| ~ m2_relset_1(X3,X0,u1_struct_0(X2))
| ~ v1_funct_2(X3,X0,u1_struct_0(X2))
| ~ v1_funct_1(X3)
| ~ m2_relset_1(X4,X0,u1_struct_0(X2))
| ~ v1_funct_2(X4,X0,u1_struct_0(X2))
| ~ v1_funct_1(X4)
| ~ m1_subset_1(X5,u1_struct_0(X2))
| r2_hidden(sK187(X0,X1,X2,X3,X4,X5),X1)
| k2_lattice2(X0,X2,X1,X3) = k4_lattices(X2,X5,k2_lattice2(X0,X2,X1,X4)) ),
inference(cnf_transformation,[],[f9502]) ).
fof(f11191,plain,
! [X2,X3,X0,X1,X4,X5] :
( v1_xboole_0(X0)
| ~ m1_subset_1(X1,k5_finsub_1(X0))
| ~ l3_lattices(X2)
| ~ v13_lattices(X2)
| ~ v11_lattices(X2)
| ~ v10_lattices(X2)
| v3_struct_0(X2)
| ~ m2_relset_1(X3,X0,u1_struct_0(X2))
| ~ v1_funct_2(X3,X0,u1_struct_0(X2))
| ~ v1_funct_1(X3)
| ~ m2_relset_1(X4,X0,u1_struct_0(X2))
| ~ v1_funct_2(X4,X0,u1_struct_0(X2))
| ~ v1_funct_1(X4)
| ~ m1_subset_1(X5,u1_struct_0(X2))
| k8_funct_2(X0,u1_struct_0(X2),X3,sK187(X0,X1,X2,X3,X4,X5)) != k4_lattices(X2,X5,k8_funct_2(X0,u1_struct_0(X2),X4,sK187(X0,X1,X2,X3,X4,X5)))
| k2_lattice2(X0,X2,X1,X3) = k4_lattices(X2,X5,k2_lattice2(X0,X2,X1,X4)) ),
inference(cnf_transformation,[],[f9502]) ).
fof(f11192,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v3_filter_0(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| v11_lattices(X0) ),
inference(cnf_transformation,[],[f7152]) ).
fof(f11193,plain,
! [X2,X3,X0,X1] :
( ~ l3_lattices(X0)
| ~ v11_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X3,u1_struct_0(X0))
| k3_lattices(X0,k3_lattices(X0,k4_lattices(X0,X1,X2),k4_lattices(X0,X2,X3)),k4_lattices(X0,X3,X1)) = k4_lattices(X0,k4_lattices(X0,k3_lattices(X0,X1,X2),k3_lattices(X0,X2,X3)),k3_lattices(X0,X3,X1)) ),
inference(cnf_transformation,[],[f7154]) ).
fof(f11194,plain,
! [X2,X3,X0,X1] :
( ~ l3_lattices(X0)
| ~ v11_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X3,u1_struct_0(X0))
| k3_lattices(X0,X1,X2) != k3_lattices(X0,X1,X3)
| k4_lattices(X0,X1,X2) != k4_lattices(X0,X1,X3)
| X2 = X3 ),
inference(cnf_transformation,[],[f7156]) ).
fof(f11195,plain,
! [X2,X3,X0,X1] :
( ~ l3_lattices(X0)
| ~ v11_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X3,u1_struct_0(X0))
| k3_lattices(X0,X1,k4_lattices(X0,X2,X3)) = k4_lattices(X0,k3_lattices(X0,X1,X2),k3_lattices(X0,X1,X3)) ),
inference(cnf_transformation,[],[f7158]) ).
fof(f11196,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| m1_subset_1(sK188(X0),u1_struct_0(X0))
| v11_lattices(X0) ),
inference(cnf_transformation,[],[f9503]) ).
fof(f11197,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| m1_subset_1(sK189(X0),u1_struct_0(X0))
| v11_lattices(X0) ),
inference(cnf_transformation,[],[f9503]) ).
fof(f11198,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| m1_subset_1(sK190(X0),u1_struct_0(X0))
| v11_lattices(X0) ),
inference(cnf_transformation,[],[f9503]) ).
fof(f11199,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| k3_lattices(X0,k3_lattices(X0,k4_lattices(X0,sK188(X0),sK189(X0)),k4_lattices(X0,sK189(X0),sK190(X0))),k4_lattices(X0,sK190(X0),sK188(X0))) != k4_lattices(X0,k4_lattices(X0,k3_lattices(X0,sK188(X0),sK189(X0)),k3_lattices(X0,sK189(X0),sK190(X0))),k3_lattices(X0,sK190(X0),sK188(X0)))
| v11_lattices(X0) ),
inference(cnf_transformation,[],[f9503]) ).
fof(f11200,plain,
! [X2,X0,X1] :
( v1_realset1(X0)
| ~ m1_subset_1(X1,X0)
| ~ m3_realset1(X2,X0,X1)
| m2_relset_1(k1_realset1(X2,k4_xboole_0(X0,k1_tarski(X1))),k2_zfmisc_1(k4_xboole_0(X0,k1_tarski(X1)),k4_xboole_0(X0,k1_tarski(X1))),k4_xboole_0(X0,k1_tarski(X1))) ),
inference(cnf_transformation,[],[f7161]) ).
fof(f11201,plain,
! [X2,X0,X1] :
( v1_realset1(X0)
| ~ m1_subset_1(X1,X0)
| ~ m3_realset1(X2,X0,X1)
| v1_funct_2(k1_realset1(X2,k4_xboole_0(X0,k1_tarski(X1))),k2_zfmisc_1(k4_xboole_0(X0,k1_tarski(X1)),k4_xboole_0(X0,k1_tarski(X1))),k4_xboole_0(X0,k1_tarski(X1))) ),
inference(cnf_transformation,[],[f7161]) ).
fof(f11202,plain,
! [X2,X0,X1] :
( v1_realset1(X0)
| ~ m1_subset_1(X1,X0)
| ~ m3_realset1(X2,X0,X1)
| v1_funct_1(k1_realset1(X2,k4_xboole_0(X0,k1_tarski(X1)))) ),
inference(cnf_transformation,[],[f7161]) ).
fof(f11203,plain,
! [X0,X1] :
( ~ v1_relat_1(X0)
| k1_realset1(X0,X1) = k7_relat_1(X0,k2_zfmisc_1(X1,X1)) ),
inference(cnf_transformation,[],[f7162]) ).
fof(f11204,plain,
! [X0,X1] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| v1_funct_1(k1_realset1(X0,X1)) ),
inference(cnf_transformation,[],[f7164]) ).
fof(f11206,plain,
! [X0,X1] :
( ~ v1_relat_1(X0)
| v1_relat_1(k1_realset1(X0,X1)) ),
inference(cnf_transformation,[],[f7165]) ).
fof(f11207,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v13_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| v1_setwiseo(u2_lattices(X0),u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f7167]) ).
fof(f11210,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| v3_binop_1(u2_lattices(X0),u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f7173]) ).
fof(f11211,plain,
! [X0] :
( ~ l2_lattices(X0)
| ~ v5_lattices(X0)
| v3_struct_0(X0)
| v1_partfun1(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f7175]) ).
fof(f11212,plain,
! [X0] :
( ~ l2_lattices(X0)
| ~ v5_lattices(X0)
| v3_struct_0(X0)
| v2_binop_1(u2_lattices(X0),u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f7175]) ).
fof(f11215,plain,
! [X0] :
( ~ l2_lattices(X0)
| ~ v5_lattices(X0)
| v3_struct_0(X0)
| v1_relat_1(u2_lattices(X0)) ),
inference(cnf_transformation,[],[f7175]) ).
fof(f11216,plain,
! [X0] :
( ~ l2_lattices(X0)
| ~ v4_lattices(X0)
| v3_struct_0(X0)
| v1_partfun1(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f7177]) ).
fof(f11217,plain,
! [X0] :
( ~ l2_lattices(X0)
| ~ v4_lattices(X0)
| v3_struct_0(X0)
| v1_binop_1(u2_lattices(X0),u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f7177]) ).
fof(f11220,plain,
! [X0] :
( ~ l2_lattices(X0)
| ~ v4_lattices(X0)
| v3_struct_0(X0)
| v1_relat_1(u2_lattices(X0)) ),
inference(cnf_transformation,[],[f7177]) ).
fof(f11221,plain,
! [X0] :
( ~ l2_lattices(X0)
| m2_relset_1(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f7178]) ).
fof(f11222,plain,
! [X0] :
( ~ l2_lattices(X0)
| v1_funct_2(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f7178]) ).
fof(f11223,plain,
! [X0] :
( ~ l2_lattices(X0)
| v1_funct_1(u2_lattices(X0)) ),
inference(cnf_transformation,[],[f7178]) ).
fof(f11224,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v14_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| v1_setwiseo(u1_lattices(X0),u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f7180]) ).
fof(f11225,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| v3_binop_1(u1_lattices(X0),u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f7182]) ).
fof(f11226,plain,
! [X0,X1] :
( ~ l3_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X1)
| v3_struct_0(X1)
| k8_filter_1(X0,X1) = g3_lattices(k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X1)),k7_filter_1(u1_struct_0(X0),u1_struct_0(X1),u2_lattices(X0),u2_lattices(X1)),k7_filter_1(u1_struct_0(X0),u1_struct_0(X1),u1_lattices(X0),u1_lattices(X1))) ),
inference(cnf_transformation,[],[f7184]) ).
fof(f11227,plain,
! [X0] :
( ~ l3_lattices(X0)
| k1_lattice2(X0) = g3_lattices(u1_struct_0(X0),u1_lattices(X0),u2_lattices(X0)) ),
inference(cnf_transformation,[],[f7185]) ).
fof(f11228,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| g3_lattices(X0,X1,X2) != g3_lattices(X3,X4,X5)
| X2 = X5 ),
inference(cnf_transformation,[],[f7187]) ).
fof(f11229,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| g3_lattices(X0,X1,X2) != g3_lattices(X3,X4,X5)
| X1 = X4 ),
inference(cnf_transformation,[],[f7187]) ).
fof(f11230,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| g3_lattices(X0,X1,X2) != g3_lattices(X3,X4,X5)
| X0 = X3 ),
inference(cnf_transformation,[],[f7187]) ).
fof(f11231,plain,
! [X2,X0,X1] :
( ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| l3_lattices(g3_lattices(X0,X1,X2)) ),
inference(cnf_transformation,[],[f7189]) ).
fof(f11232,plain,
! [X2,X0,X1] :
( ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| v3_lattices(g3_lattices(X0,X1,X2)) ),
inference(cnf_transformation,[],[f7189]) ).
fof(f11233,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v3_lattices(X0)
| g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) = X0 ),
inference(cnf_transformation,[],[f7191]) ).
fof(f11235,plain,
! [X2,X0,X1] :
( ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| v1_xboole_0(X0)
| ~ v3_struct_0(g3_lattices(X0,X1,X2)) ),
inference(cnf_transformation,[],[f7193]) ).
fof(f11236,plain,
! [X0] :
( ~ l3_lattices(X0)
| l3_lattices(k1_lattice2(X0)) ),
inference(cnf_transformation,[],[f7194]) ).
fof(f11237,plain,
! [X0] :
( ~ l3_lattices(X0)
| v3_lattices(k1_lattice2(X0)) ),
inference(cnf_transformation,[],[f7194]) ).
fof(f11238,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v3_lattices(X0)
| v3_struct_0(X0)
| k1_lattice2(k1_lattice2(X0)) = X0 ),
inference(cnf_transformation,[],[f7196]) ).
fof(f11248,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| sP13(X0) ),
inference(cnf_transformation,[],[f9232]) ).
fof(f11250,plain,
! [X0] :
( ~ l3_lattices(X0)
| v3_struct_0(X0)
| ~ v3_struct_0(k1_lattice2(X0)) ),
inference(cnf_transformation,[],[f7200]) ).
fof(f11251,plain,
v3_filter_0(sK191),
inference(cnf_transformation,[],[f9505]) ).
fof(f11252,plain,
v10_lattices(sK191),
inference(cnf_transformation,[],[f9505]) ).
fof(f11253,plain,
v9_lattices(sK191),
inference(cnf_transformation,[],[f9505]) ).
fof(f11254,plain,
v8_lattices(sK191),
inference(cnf_transformation,[],[f9505]) ).
fof(f11255,plain,
v7_lattices(sK191),
inference(cnf_transformation,[],[f9505]) ).
fof(f11256,plain,
v6_lattices(sK191),
inference(cnf_transformation,[],[f9505]) ).
fof(f11257,plain,
v5_lattices(sK191),
inference(cnf_transformation,[],[f9505]) ).
fof(f11258,plain,
v4_lattices(sK191),
inference(cnf_transformation,[],[f9505]) ).
fof(f11259,plain,
v3_lattices(sK191),
inference(cnf_transformation,[],[f9505]) ).
fof(f11260,plain,
~ v3_struct_0(sK191),
inference(cnf_transformation,[],[f9505]) ).
fof(f11261,plain,
l3_lattices(sK191),
inference(cnf_transformation,[],[f9505]) ).
fof(f11262,plain,
v10_lattices(sK192),
inference(cnf_transformation,[],[f9506]) ).
fof(f11263,plain,
v9_lattices(sK192),
inference(cnf_transformation,[],[f9506]) ).
fof(f11264,plain,
v8_lattices(sK192),
inference(cnf_transformation,[],[f9506]) ).
fof(f11265,plain,
v7_lattices(sK192),
inference(cnf_transformation,[],[f9506]) ).
fof(f11266,plain,
v6_lattices(sK192),
inference(cnf_transformation,[],[f9506]) ).
fof(f11267,plain,
v5_lattices(sK192),
inference(cnf_transformation,[],[f9506]) ).
fof(f11268,plain,
v4_lattices(sK192),
inference(cnf_transformation,[],[f9506]) ).
fof(f11269,plain,
v3_lattices(sK192),
inference(cnf_transformation,[],[f9506]) ).
fof(f11270,plain,
~ v3_struct_0(sK192),
inference(cnf_transformation,[],[f9506]) ).
fof(f11271,plain,
l3_lattices(sK192),
inference(cnf_transformation,[],[f9506]) ).
fof(f11272,plain,
v3_lattices(sK193),
inference(cnf_transformation,[],[f9507]) ).
fof(f11273,plain,
~ v3_struct_0(sK193),
inference(cnf_transformation,[],[f9507]) ).
fof(f11274,plain,
l3_lattices(sK193),
inference(cnf_transformation,[],[f9507]) ).
fof(f11275,plain,
v3_lattices(sK194),
inference(cnf_transformation,[],[f9508]) ).
fof(f11276,plain,
l3_lattices(sK194),
inference(cnf_transformation,[],[f9508]) ).
fof(f11277,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l2_lattices(X0)
| ~ v4_lattices(X0)
| v3_struct_0(X0)
| k3_lattices(X0,X1,X2) = k3_lattices(X0,X2,X1) ),
inference(cnf_transformation,[],[f7202]) ).
fof(f11278,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l2_lattices(X0)
| ~ v4_lattices(X0)
| v3_struct_0(X0)
| m1_subset_1(k3_lattices(X0,X1,X2),u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f7204]) ).
fof(f11286,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v9_lattices(X0)
| ~ v8_lattices(X0)
| ~ v7_lattices(X0)
| ~ v6_lattices(X0)
| ~ v5_lattices(X0)
| ~ v4_lattices(X0)
| v3_struct_0(X0)
| v10_lattices(X0) ),
inference(cnf_transformation,[],[f7208]) ).
fof(f11288,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| v9_lattices(X0) ),
inference(cnf_transformation,[],[f7210]) ).
fof(f11289,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| v8_lattices(X0) ),
inference(cnf_transformation,[],[f7210]) ).
fof(f11290,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| v7_lattices(X0) ),
inference(cnf_transformation,[],[f7210]) ).
fof(f11291,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| v6_lattices(X0) ),
inference(cnf_transformation,[],[f7210]) ).
fof(f11292,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| v5_lattices(X0) ),
inference(cnf_transformation,[],[f7210]) ).
fof(f11293,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| v4_lattices(X0) ),
inference(cnf_transformation,[],[f7210]) ).
fof(f11295,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l3_lattices(X0)
| ~ v9_lattices(X0)
| ~ v8_lattices(X0)
| ~ v6_lattices(X0)
| v3_struct_0(X0)
| r3_lattices(X0,X1,X1) ),
inference(cnf_transformation,[],[f7212]) ).
fof(f11296,plain,
! [X0,X1] :
( ~ l3_lattices(X0)
| ~ v9_lattices(X0)
| ~ v8_lattices(X0)
| ~ v6_lattices(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| k4_lattices(X0,X1,X1) = X1 ),
inference(cnf_transformation,[],[f7214]) ).
fof(f11298,plain,
! [X0] :
( ~ l1_lattices(X0)
| ~ v7_lattices(X0)
| v3_struct_0(X0)
| v1_partfun1(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f7218]) ).
fof(f11299,plain,
! [X0] :
( ~ l1_lattices(X0)
| ~ v7_lattices(X0)
| v3_struct_0(X0)
| v2_binop_1(u1_lattices(X0),u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f7218]) ).
fof(f11302,plain,
! [X0] :
( ~ l1_lattices(X0)
| ~ v7_lattices(X0)
| v3_struct_0(X0)
| v1_relat_1(u1_lattices(X0)) ),
inference(cnf_transformation,[],[f7218]) ).
fof(f11303,plain,
! [X0,X1] :
( ~ l3_lattices(X0)
| v3_realset2(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v1_xboole_0(X1)
| m1_subset_1(sK195(X0,X1),k5_finsub_1(u1_struct_0(X0)))
| ~ r2_hidden(k5_lattices(X0),k3_filter_0(X0,X1)) ),
inference(cnf_transformation,[],[f9511]) ).
fof(f11304,plain,
! [X0,X1] :
( ~ l3_lattices(X0)
| v3_realset2(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v1_xboole_0(X1)
| ~ v1_xboole_0(sK195(X0,X1))
| ~ r2_hidden(k5_lattices(X0),k3_filter_0(X0,X1)) ),
inference(cnf_transformation,[],[f9511]) ).
fof(f11305,plain,
! [X0,X1] :
( ~ l3_lattices(X0)
| v3_realset2(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v1_xboole_0(X1)
| k5_lattices(X0) = k2_lattice4(X0,sK195(X0,X1))
| ~ r2_hidden(k5_lattices(X0),k3_filter_0(X0,X1)) ),
inference(cnf_transformation,[],[f9511]) ).
fof(f11306,plain,
! [X0,X1] :
( ~ l3_lattices(X0)
| v3_realset2(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v1_xboole_0(X1)
| r1_tarski(sK195(X0,X1),X1)
| ~ r2_hidden(k5_lattices(X0),k3_filter_0(X0,X1)) ),
inference(cnf_transformation,[],[f9511]) ).
fof(f11307,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v1_xboole_0(X1)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| m1_filter_0(k3_filter_0(X0,X1),X0) ),
inference(cnf_transformation,[],[f7222]) ).
fof(f11308,plain,
! [X2,X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v1_xboole_0(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
| v1_xboole_0(X2)
| k3_filter_0(X0,k4_subset_1(u1_struct_0(X0),X1,X2)) = k3_filter_0(X0,k4_subset_1(u1_struct_0(X0),X1,k3_filter_0(X0,X2))) ),
inference(cnf_transformation,[],[f7224]) ).
fof(f11309,plain,
! [X2,X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v1_xboole_0(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
| v1_xboole_0(X2)
| k3_filter_0(X0,k4_subset_1(u1_struct_0(X0),X1,X2)) = k3_filter_0(X0,k4_subset_1(u1_struct_0(X0),k3_filter_0(X0,X1),X2)) ),
inference(cnf_transformation,[],[f7224]) ).
fof(f11310,plain,
! [X2,X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v1_xboole_0(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
| v1_xboole_0(X2)
| ~ r1_tarski(X1,X2)
| r1_tarski(k3_filter_0(X0,X1),k3_filter_0(X0,X2)) ),
inference(cnf_transformation,[],[f7226]) ).
fof(f11311,plain,
! [X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_filter_0(X1,X0)
| k3_filter_0(X0,X1) = X1 ),
inference(cnf_transformation,[],[f7228]) ).
fof(f11312,plain,
! [X2,X0,X1,X4] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v1_xboole_0(X1)
| ~ m1_filter_0(X2,X0)
| k3_filter_0(X0,X1) != X2
| ~ m1_filter_0(X4,X0)
| ~ r1_tarski(X1,X4)
| r1_tarski(X2,X4) ),
inference(cnf_transformation,[],[f9515]) ).
fof(f11313,plain,
! [X2,X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v1_xboole_0(X1)
| ~ m1_filter_0(X2,X0)
| k3_filter_0(X0,X1) != X2
| r1_tarski(X1,X2) ),
inference(cnf_transformation,[],[f9515]) ).
fof(f11314,plain,
! [X2,X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v1_xboole_0(X1)
| ~ m1_filter_0(X2,X0)
| m1_filter_0(sK196(X0,X1,X2),X0)
| ~ r1_tarski(X1,X2)
| k3_filter_0(X0,X1) = X2 ),
inference(cnf_transformation,[],[f9515]) ).
fof(f11315,plain,
! [X2,X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v1_xboole_0(X1)
| ~ m1_filter_0(X2,X0)
| r1_tarski(X1,sK196(X0,X1,X2))
| ~ r1_tarski(X1,X2)
| k3_filter_0(X0,X1) = X2 ),
inference(cnf_transformation,[],[f9515]) ).
fof(f11316,plain,
! [X2,X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v1_xboole_0(X1)
| ~ m1_filter_0(X2,X0)
| ~ r1_tarski(X2,sK196(X0,X1,X2))
| ~ r1_tarski(X1,X2)
| k3_filter_0(X0,X1) = X2 ),
inference(cnf_transformation,[],[f9515]) ).
fof(f11317,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ v6_group_1(X0)
| v6_group_1(k1_lattice2(X0)) ),
inference(cnf_transformation,[],[f9516]) ).
fof(f11318,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ v6_group_1(k1_lattice2(X0))
| v6_group_1(X0) ),
inference(cnf_transformation,[],[f9516]) ).
fof(f11319,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v14_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| k6_lattices(X0) = k5_lattices(k1_lattice2(X0)) ),
inference(cnf_transformation,[],[f7234]) ).
fof(f11320,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v13_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| k5_lattices(X0) = k6_lattices(k1_lattice2(X0)) ),
inference(cnf_transformation,[],[f7236]) ).
fof(f11326,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(k1_lattice2(X0))
| ~ v11_lattices(k1_lattice2(X0))
| ~ v10_lattices(k1_lattice2(X0))
| v3_struct_0(k1_lattice2(X0))
| v11_lattices(X0) ),
inference(cnf_transformation,[],[f9518]) ).
fof(f11329,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ v14_lattices(X0)
| v13_lattices(k1_lattice2(X0)) ),
inference(cnf_transformation,[],[f9519]) ).
fof(f11330,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ v13_lattices(k1_lattice2(X0))
| v14_lattices(X0) ),
inference(cnf_transformation,[],[f9519]) ).
fof(f11331,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ v13_lattices(X0)
| v14_lattices(k1_lattice2(X0)) ),
inference(cnf_transformation,[],[f9520]) ).
fof(f11332,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ v14_lattices(k1_lattice2(X0))
| v13_lattices(X0) ),
inference(cnf_transformation,[],[f9520]) ).
fof(f11333,plain,
! [X2,X3,X0,X1,X4] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X3,u1_struct_0(k1_lattice2(X0)))
| ~ m1_subset_1(X4,u1_struct_0(k1_lattice2(X0)))
| X2 != X4
| X1 != X3
| ~ r3_lattices(k1_lattice2(X0),X3,X4)
| r3_lattices(X0,X2,X1) ),
inference(cnf_transformation,[],[f7244]) ).
fof(f11334,plain,
! [X2,X3,X0,X1,X4] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ r3_lattices(X0,X1,X2)
| ~ m1_subset_1(X3,u1_struct_0(k1_lattice2(X0)))
| ~ m1_subset_1(X4,u1_struct_0(k1_lattice2(X0)))
| X2 != X4
| X1 != X3
| r3_lattices(k1_lattice2(X0),X4,X3) ),
inference(cnf_transformation,[],[f7246]) ).
fof(f11335,plain,
! [X2,X3,X0,X1,X4] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X3,u1_struct_0(k1_lattice2(X0)))
| ~ m1_subset_1(X4,u1_struct_0(k1_lattice2(X0)))
| X2 != X4
| X1 != X3
| k3_lattices(X0,X1,X2) = k4_lattices(k1_lattice2(X0),X3,X4) ),
inference(cnf_transformation,[],[f7248]) ).
fof(f11336,plain,
! [X2,X3,X0,X1,X4] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X3,u1_struct_0(k1_lattice2(X0)))
| ~ m1_subset_1(X4,u1_struct_0(k1_lattice2(X0)))
| X2 != X4
| X1 != X3
| k4_lattices(X0,X1,X2) = k3_lattices(k1_lattice2(X0),X3,X4) ),
inference(cnf_transformation,[],[f7248]) ).
fof(f11339,plain,
! [X0] :
( ~ l3_lattices(X0)
| v3_struct_0(X0)
| u1_lattices(X0) = u2_lattices(k1_lattice2(X0)) ),
inference(cnf_transformation,[],[f7252]) ).
fof(f11340,plain,
! [X0] :
( ~ l3_lattices(X0)
| v3_struct_0(X0)
| u2_lattices(X0) = u1_lattices(k1_lattice2(X0)) ),
inference(cnf_transformation,[],[f7252]) ).
fof(f11341,plain,
! [X0] :
( ~ l3_lattices(X0)
| v3_struct_0(X0)
| u1_struct_0(X0) = u1_struct_0(k1_lattice2(X0)) ),
inference(cnf_transformation,[],[f7252]) ).
fof(f11342,plain,
! [X3,X0,X1] :
( ~ m2_relset_1(X1,X0,X0)
| ~ m2_relset_1(X3,X0,X0)
| ~ v1_partfun1(X3,X0,X0)
| ~ v8_relat_2(X3)
| ~ v3_relat_2(X3)
| ~ r1_tarski(X1,X3)
| r1_tarski(sK197(X0,X1),X3) ),
inference(cnf_transformation,[],[f9521]) ).
fof(f11343,plain,
! [X0,X1] :
( ~ m2_relset_1(X1,X0,X0)
| r1_tarski(X1,sK197(X0,X1)) ),
inference(cnf_transformation,[],[f9521]) ).
fof(f11344,plain,
! [X0,X1] :
( ~ m2_relset_1(X1,X0,X0)
| m2_relset_1(sK197(X0,X1),X0,X0) ),
inference(cnf_transformation,[],[f9521]) ).
fof(f11345,plain,
! [X0,X1] :
( ~ m2_relset_1(X1,X0,X0)
| v1_partfun1(sK197(X0,X1),X0,X0) ),
inference(cnf_transformation,[],[f9521]) ).
fof(f11346,plain,
! [X0,X1] :
( ~ m2_relset_1(X1,X0,X0)
| v8_relat_2(sK197(X0,X1)) ),
inference(cnf_transformation,[],[f9521]) ).
fof(f11347,plain,
! [X0,X1] :
( ~ m2_relset_1(X1,X0,X0)
| v3_relat_2(sK197(X0,X1)) ),
inference(cnf_transformation,[],[f9521]) ).
fof(f11348,plain,
! [X2,X3,X0,X1] :
( ~ m2_relset_1(X3,X0,X0)
| ~ v1_partfun1(X3,X0,X0)
| ~ v3_relat_2(X3)
| ~ r2_hidden(k4_tarski(X1,X2),X3)
| r2_hidden(k4_tarski(X2,X1),X3) ),
inference(cnf_transformation,[],[f7256]) ).
fof(f11349,plain,
! [X0,X1] :
( ~ v1_relat_1(X0)
| ~ v1_relat_1(X1)
| ~ v3_relat_2(X1)
| ~ v3_relat_2(X0)
| v3_relat_2(k4_xboole_0(X0,X1)) ),
inference(cnf_transformation,[],[f7258]) ).
fof(f11350,plain,
! [X0,X1] :
( ~ v1_relat_1(X0)
| ~ v1_relat_1(X1)
| ~ v3_relat_2(X1)
| ~ v3_relat_2(X0)
| v3_relat_2(k3_xboole_0(X0,X1)) ),
inference(cnf_transformation,[],[f7258]) ).
fof(f11351,plain,
! [X0,X1] :
( ~ v1_relat_1(X0)
| ~ v1_relat_1(X1)
| ~ v3_relat_2(X1)
| ~ v3_relat_2(X0)
| v3_relat_2(k2_xboole_0(X0,X1)) ),
inference(cnf_transformation,[],[f7258]) ).
fof(f11354,plain,
! [X2,X3,X0,X1,X4] :
( ~ m2_relset_1(X4,X0,X0)
| ~ v1_partfun1(X4,X0,X0)
| ~ v8_relat_2(X4)
| ~ r2_hidden(k4_tarski(X2,X3),X4)
| ~ r2_hidden(k4_tarski(X1,X2),X4)
| r2_hidden(k4_tarski(X1,X3),X4) ),
inference(cnf_transformation,[],[f7260]) ).
fof(f11355,plain,
! [X0] :
( ~ v1_relat_1(X0)
| ~ v8_relat_2(X0)
| r1_tarski(k5_relat_1(X0,X0),X0) ),
inference(cnf_transformation,[],[f9522]) ).
fof(f11356,plain,
! [X0] :
( ~ v1_relat_1(X0)
| ~ r1_tarski(k5_relat_1(X0,X0),X0)
| v8_relat_2(X0) ),
inference(cnf_transformation,[],[f9522]) ).
fof(f11357,plain,
! [X0,X1] :
( ~ v1_relat_1(X0)
| ~ v1_relat_1(X1)
| ~ v8_relat_2(X1)
| ~ v8_relat_2(X0)
| v8_relat_2(k3_xboole_0(X0,X1)) ),
inference(cnf_transformation,[],[f7263]) ).
fof(f11365,plain,
! [X2,X0,X1] :
( v1_xboole_0(X1)
| v1_xboole_0(X0)
| ~ m1_relset_1(X2,X0,X1)
| ~ v1_funct_2(X2,X0,X1)
| ~ v1_funct_1(X2)
| ~ v1_xboole_0(X2) ),
inference(cnf_transformation,[],[f7269]) ).
fof(f11368,plain,
! [X2,X0,X1] :
( v1_xboole_0(X1)
| ~ m1_relset_1(X2,X0,X1)
| ~ v1_funct_2(X2,X0,X1)
| ~ v1_funct_1(X2)
| v1_partfun1(X2,X0,X1) ),
inference(cnf_transformation,[],[f7271]) ).
fof(f11370,plain,
! [X2,X0,X1] :
( ~ m1_relset_1(X2,X0,X1)
| ~ v1_partfun1(X2,X0,X1)
| ~ v1_funct_1(X2)
| v1_funct_2(X2,X0,X1) ),
inference(cnf_transformation,[],[f7273]) ).
fof(f11372,plain,
! [X0,X1] :
( ~ m2_relset_1(X1,k1_xboole_0,X0)
| ~ v1_funct_1(X1)
| v1_partfun1(X1,k1_xboole_0,X0) ),
inference(cnf_transformation,[],[f7275]) ).
fof(f11373,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X2,X0,X1)
| ~ v1_funct_1(X2)
| k1_xboole_0 != X1
| ~ v1_partfun1(X2,X0,X1)
| k1_xboole_0 = X0 ),
inference(cnf_transformation,[],[f7277]) ).
fof(f11374,plain,
! [X0,X1] :
( v1_xboole_0(X0)
| ~ m2_relset_1(X1,X0,X0)
| ~ v1_partfun1(X1,X0,X0)
| ~ v8_relat_2(X1)
| ~ v3_relat_2(X1)
| ~ v1_xboole_0(k8_eqrel_1(X0,X1)) ),
inference(cnf_transformation,[],[f7279]) ).
fof(f11375,plain,
! [X0,X1] :
( ~ m1_relset_1(X1,X0,X0)
| ~ v1_partfun1(X1,X0,X0)
| ~ v8_relat_2(X1)
| ~ v3_relat_2(X1)
| m1_eqrel_1(k8_eqrel_1(X0,X1),X0) ),
inference(cnf_transformation,[],[f7281]) ).
fof(f11376,plain,
! [X0,X1] :
( ~ m1_filter_0(X1,X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| v1_relat_1(k10_filter_0(X0,X1)) ),
inference(cnf_transformation,[],[f7283]) ).
fof(f11382,plain,
! [X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_filter_0(X1,X0)
| m2_relset_1(k10_filter_0(X0,X1),u1_struct_0(X0),u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f7289]) ).
fof(f11383,plain,
! [X2,X0,X1,X6,X5] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_filter_0(X1,X0)
| ~ v1_relat_1(X2)
| k10_filter_0(X0,X1) != X2
| ~ m1_subset_1(X5,u1_struct_0(X0))
| ~ m1_subset_1(X6,u1_struct_0(X0))
| ~ r2_hidden(k1_domain_1(u1_struct_0(X0),u1_struct_0(X0),X5,X6),X2)
| r2_hidden(k9_filter_0(X0,X5,X6),X1) ),
inference(cnf_transformation,[],[f9526]) ).
fof(f11384,plain,
! [X2,X0,X1,X6,X5] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_filter_0(X1,X0)
| ~ v1_relat_1(X2)
| k10_filter_0(X0,X1) != X2
| ~ m1_subset_1(X5,u1_struct_0(X0))
| ~ m1_subset_1(X6,u1_struct_0(X0))
| ~ r2_hidden(k9_filter_0(X0,X5,X6),X1)
| r2_hidden(k1_domain_1(u1_struct_0(X0),u1_struct_0(X0),X5,X6),X2) ),
inference(cnf_transformation,[],[f9526]) ).
fof(f11385,plain,
! [X2,X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_filter_0(X1,X0)
| ~ v1_relat_1(X2)
| k10_filter_0(X0,X1) != X2
| r1_tarski(k3_relat_1(X2),u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f9526]) ).
fof(f11386,plain,
! [X2,X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_filter_0(X1,X0)
| ~ v1_relat_1(X2)
| m1_subset_1(sK198(X0,X1,X2),u1_struct_0(X0))
| ~ r1_tarski(k3_relat_1(X2),u1_struct_0(X0))
| k10_filter_0(X0,X1) = X2 ),
inference(cnf_transformation,[],[f9526]) ).
fof(f11387,plain,
! [X2,X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_filter_0(X1,X0)
| ~ v1_relat_1(X2)
| m1_subset_1(sK199(X0,X1,X2),u1_struct_0(X0))
| ~ r1_tarski(k3_relat_1(X2),u1_struct_0(X0))
| k10_filter_0(X0,X1) = X2 ),
inference(cnf_transformation,[],[f9526]) ).
fof(f11388,plain,
! [X2,X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_filter_0(X1,X0)
| ~ v1_relat_1(X2)
| r2_hidden(k1_domain_1(u1_struct_0(X0),u1_struct_0(X0),sK198(X0,X1,X2),sK199(X0,X1,X2)),X2)
| r2_hidden(k9_filter_0(X0,sK198(X0,X1,X2),sK199(X0,X1,X2)),X1)
| ~ r1_tarski(k3_relat_1(X2),u1_struct_0(X0))
| k10_filter_0(X0,X1) = X2 ),
inference(cnf_transformation,[],[f9526]) ).
fof(f11389,plain,
! [X2,X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_filter_0(X1,X0)
| ~ v1_relat_1(X2)
| ~ r2_hidden(k1_domain_1(u1_struct_0(X0),u1_struct_0(X0),sK198(X0,X1,X2),sK199(X0,X1,X2)),X2)
| ~ r2_hidden(k9_filter_0(X0,sK198(X0,X1,X2),sK199(X0,X1,X2)),X1)
| ~ r1_tarski(k3_relat_1(X2),u1_struct_0(X0))
| k10_filter_0(X0,X1) = X2 ),
inference(cnf_transformation,[],[f9526]) ).
fof(f11390,plain,
! [X2,X0,X1] :
( ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X1,X0,X0)
| ~ v1_partfun1(X1,X0,X0)
| ~ v8_relat_2(X1)
| ~ v3_relat_2(X1)
| v1_xboole_0(X0)
| m2_relset_1(k4_filter_1(X0,X1,X2),k2_zfmisc_1(k8_eqrel_1(X0,X1),k8_eqrel_1(X0,X1)),k8_eqrel_1(X0,X1)) ),
inference(cnf_transformation,[],[f7293]) ).
fof(f11391,plain,
! [X2,X0,X1] :
( ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X1,X0,X0)
| ~ v1_partfun1(X1,X0,X0)
| ~ v8_relat_2(X1)
| ~ v3_relat_2(X1)
| v1_xboole_0(X0)
| v1_funct_2(k4_filter_1(X0,X1,X2),k2_zfmisc_1(k8_eqrel_1(X0,X1),k8_eqrel_1(X0,X1)),k8_eqrel_1(X0,X1)) ),
inference(cnf_transformation,[],[f7293]) ).
fof(f11392,plain,
! [X2,X0,X1] :
( ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X1,X0,X0)
| ~ v1_partfun1(X1,X0,X0)
| ~ v8_relat_2(X1)
| ~ v3_relat_2(X1)
| v1_xboole_0(X0)
| v1_funct_1(k4_filter_1(X0,X1,X2)) ),
inference(cnf_transformation,[],[f7293]) ).
fof(f11393,plain,
! [X2,X3,X0,X1] :
( v1_xboole_0(X0)
| ~ m2_relset_1(X1,X0,X0)
| ~ v1_partfun1(X1,X0,X0)
| ~ v8_relat_2(X1)
| ~ v3_relat_2(X1)
| ~ m2_filter_1(X2,X0,X1)
| ~ m2_filter_1(X3,X0,X1)
| ~ r6_binop_1(X0,X2,X3)
| r6_binop_1(k8_eqrel_1(X0,X1),k4_filter_1(X0,X1,X2),k4_filter_1(X0,X1,X3)) ),
inference(cnf_transformation,[],[f7295]) ).
fof(f11394,plain,
! [X2,X3,X0,X1] :
( v1_xboole_0(X0)
| ~ m2_relset_1(X1,X0,X0)
| ~ v1_partfun1(X1,X0,X0)
| ~ v8_relat_2(X1)
| ~ v3_relat_2(X1)
| ~ m1_subset_1(X2,X0)
| ~ m2_filter_1(X3,X0,X1)
| ~ r3_binop_1(X0,X2,X3)
| r3_binop_1(k8_eqrel_1(X0,X1),k2_filter_1(X0,X1,X2),k4_filter_1(X0,X1,X3)) ),
inference(cnf_transformation,[],[f7297]) ).
fof(f11395,plain,
! [X2,X0,X1] :
( v1_xboole_0(X0)
| ~ m2_relset_1(X1,X0,X0)
| ~ v1_partfun1(X1,X0,X0)
| ~ v8_relat_2(X1)
| ~ v3_relat_2(X1)
| ~ m2_filter_1(X2,X0,X1)
| ~ v2_binop_1(X2,X0)
| v2_binop_1(k4_filter_1(X0,X1,X2),k8_eqrel_1(X0,X1)) ),
inference(cnf_transformation,[],[f7299]) ).
fof(f11396,plain,
! [X2,X0,X1] :
( v1_xboole_0(X0)
| ~ m2_relset_1(X1,X0,X0)
| ~ v1_partfun1(X1,X0,X0)
| ~ v8_relat_2(X1)
| ~ v3_relat_2(X1)
| ~ m2_filter_1(X2,X0,X1)
| ~ v1_binop_1(X2,X0)
| v1_binop_1(k4_filter_1(X0,X1,X2),k8_eqrel_1(X0,X1)) ),
inference(cnf_transformation,[],[f7301]) ).
fof(f11397,plain,
! [X2,X3,X0,X1,X4] :
( v1_xboole_0(X0)
| ~ m2_relset_1(X1,X0,X0)
| ~ v1_partfun1(X1,X0,X0)
| ~ v8_relat_2(X1)
| ~ v3_relat_2(X1)
| ~ m1_subset_1(X2,X0)
| ~ m1_subset_1(X3,X0)
| ~ m2_filter_1(X4,X0,X1)
| k2_binop_1(k8_eqrel_1(X0,X1),k8_eqrel_1(X0,X1),k8_eqrel_1(X0,X1),k4_filter_1(X0,X1,X4),k2_filter_1(X0,X1,X2),k2_filter_1(X0,X1,X3)) = k2_filter_1(X0,X1,k2_binop_1(X0,X0,X0,X4,X2,X3)) ),
inference(cnf_transformation,[],[f7303]) ).
fof(f11398,plain,
! [X2,X3,X10,X0,X11,X1,X8,X9] :
( v1_xboole_0(X0)
| ~ m2_relset_1(X1,X0,X0)
| ~ v1_partfun1(X1,X0,X0)
| ~ v8_relat_2(X1)
| ~ v3_relat_2(X1)
| ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ m2_filter_1(X2,X0,X1)
| ~ m2_relset_1(X3,k2_zfmisc_1(k8_eqrel_1(X0,X1),k8_eqrel_1(X0,X1)),k8_eqrel_1(X0,X1))
| ~ v1_funct_2(X3,k2_zfmisc_1(k8_eqrel_1(X0,X1),k8_eqrel_1(X0,X1)),k8_eqrel_1(X0,X1))
| ~ v1_funct_1(X3)
| k4_filter_1(X0,X1,X2) != X3
| ~ r2_hidden(X11,X9)
| ~ r2_hidden(X10,X8)
| ~ r2_hidden(X9,k8_eqrel_1(X0,X1))
| ~ r2_hidden(X8,k8_eqrel_1(X0,X1))
| k1_binop_1(X3,X8,X9) = k6_eqrel_1(X0,X1,k1_binop_1(X2,X10,X11)) ),
inference(cnf_transformation,[],[f9529]) ).
fof(f11399,plain,
! [X2,X3,X0,X1] :
( v1_xboole_0(X0)
| ~ m2_relset_1(X1,X0,X0)
| ~ v1_partfun1(X1,X0,X0)
| ~ v8_relat_2(X1)
| ~ v3_relat_2(X1)
| ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ m2_filter_1(X2,X0,X1)
| ~ m2_relset_1(X3,k2_zfmisc_1(k8_eqrel_1(X0,X1),k8_eqrel_1(X0,X1)),k8_eqrel_1(X0,X1))
| ~ v1_funct_2(X3,k2_zfmisc_1(k8_eqrel_1(X0,X1),k8_eqrel_1(X0,X1)),k8_eqrel_1(X0,X1))
| ~ v1_funct_1(X3)
| r2_hidden(sK203(X0,X1,X2,X3),sK201(X0,X1,X2,X3))
| k4_filter_1(X0,X1,X2) = X3 ),
inference(cnf_transformation,[],[f9529]) ).
fof(f11400,plain,
! [X2,X3,X0,X1] :
( v1_xboole_0(X0)
| ~ m2_relset_1(X1,X0,X0)
| ~ v1_partfun1(X1,X0,X0)
| ~ v8_relat_2(X1)
| ~ v3_relat_2(X1)
| ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ m2_filter_1(X2,X0,X1)
| ~ m2_relset_1(X3,k2_zfmisc_1(k8_eqrel_1(X0,X1),k8_eqrel_1(X0,X1)),k8_eqrel_1(X0,X1))
| ~ v1_funct_2(X3,k2_zfmisc_1(k8_eqrel_1(X0,X1),k8_eqrel_1(X0,X1)),k8_eqrel_1(X0,X1))
| ~ v1_funct_1(X3)
| r2_hidden(sK202(X0,X1,X2,X3),sK200(X0,X1,X2,X3))
| k4_filter_1(X0,X1,X2) = X3 ),
inference(cnf_transformation,[],[f9529]) ).
fof(f11401,plain,
! [X2,X3,X0,X1] :
( v1_xboole_0(X0)
| ~ m2_relset_1(X1,X0,X0)
| ~ v1_partfun1(X1,X0,X0)
| ~ v8_relat_2(X1)
| ~ v3_relat_2(X1)
| ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ m2_filter_1(X2,X0,X1)
| ~ m2_relset_1(X3,k2_zfmisc_1(k8_eqrel_1(X0,X1),k8_eqrel_1(X0,X1)),k8_eqrel_1(X0,X1))
| ~ v1_funct_2(X3,k2_zfmisc_1(k8_eqrel_1(X0,X1),k8_eqrel_1(X0,X1)),k8_eqrel_1(X0,X1))
| ~ v1_funct_1(X3)
| r2_hidden(sK201(X0,X1,X2,X3),k8_eqrel_1(X0,X1))
| k4_filter_1(X0,X1,X2) = X3 ),
inference(cnf_transformation,[],[f9529]) ).
fof(f11402,plain,
! [X2,X3,X0,X1] :
( v1_xboole_0(X0)
| ~ m2_relset_1(X1,X0,X0)
| ~ v1_partfun1(X1,X0,X0)
| ~ v8_relat_2(X1)
| ~ v3_relat_2(X1)
| ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ m2_filter_1(X2,X0,X1)
| ~ m2_relset_1(X3,k2_zfmisc_1(k8_eqrel_1(X0,X1),k8_eqrel_1(X0,X1)),k8_eqrel_1(X0,X1))
| ~ v1_funct_2(X3,k2_zfmisc_1(k8_eqrel_1(X0,X1),k8_eqrel_1(X0,X1)),k8_eqrel_1(X0,X1))
| ~ v1_funct_1(X3)
| r2_hidden(sK200(X0,X1,X2,X3),k8_eqrel_1(X0,X1))
| k4_filter_1(X0,X1,X2) = X3 ),
inference(cnf_transformation,[],[f9529]) ).
fof(f11403,plain,
! [X2,X3,X0,X1] :
( v1_xboole_0(X0)
| ~ m2_relset_1(X1,X0,X0)
| ~ v1_partfun1(X1,X0,X0)
| ~ v8_relat_2(X1)
| ~ v3_relat_2(X1)
| ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ m2_filter_1(X2,X0,X1)
| ~ m2_relset_1(X3,k2_zfmisc_1(k8_eqrel_1(X0,X1),k8_eqrel_1(X0,X1)),k8_eqrel_1(X0,X1))
| ~ v1_funct_2(X3,k2_zfmisc_1(k8_eqrel_1(X0,X1),k8_eqrel_1(X0,X1)),k8_eqrel_1(X0,X1))
| ~ v1_funct_1(X3)
| k1_binop_1(X3,sK200(X0,X1,X2,X3),sK201(X0,X1,X2,X3)) != k6_eqrel_1(X0,X1,k1_binop_1(X2,sK202(X0,X1,X2,X3),sK203(X0,X1,X2,X3)))
| k4_filter_1(X0,X1,X2) = X3 ),
inference(cnf_transformation,[],[f9529]) ).
fof(f11404,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| v1_xboole_0(X1)
| v1_xboole_0(X0)
| ~ m2_subset_1(X2,X0,X1)
| m1_subset_1(X2,X1) ),
inference(cnf_transformation,[],[f9530]) ).
fof(f11405,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| v1_xboole_0(X1)
| v1_xboole_0(X0)
| ~ m1_subset_1(X2,X1)
| m2_subset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f9530]) ).
fof(f11406,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| v1_xboole_0(X1)
| v1_xboole_0(X0)
| m2_subset_1(sK204(X0,X1),X0,X1) ),
inference(cnf_transformation,[],[f9531]) ).
fof(f11407,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| v1_xboole_0(X1)
| v1_xboole_0(X0)
| ~ m2_subset_1(X2,X0,X1)
| m1_subset_1(X2,X0) ),
inference(cnf_transformation,[],[f7311]) ).
fof(f11408,plain,
! [X0,X1] :
( ~ sP15(X0,X1)
| ~ v3_pre_topc(X0,X1)
| sP14(X1,X0) ),
inference(cnf_transformation,[],[f9533]) ).
fof(f11409,plain,
! [X0,X1] :
( ~ sP15(X0,X1)
| ~ sP14(X1,X0)
| v3_pre_topc(X0,X1) ),
inference(cnf_transformation,[],[f9533]) ).
fof(f11420,plain,
! [X0,X1] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| sP15(X1,X0) ),
inference(cnf_transformation,[],[f9235]) ).
fof(f11422,plain,
! [X2,X0,X1] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| m1_subset_1(sK208(X0,X1,X2),k1_zfmisc_1(u1_struct_0(X0)))
| r2_hidden(X2,k6_pre_topc(X0,X1)) ),
inference(cnf_transformation,[],[f9539]) ).
fof(f11423,plain,
! [X2,X0,X1] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| r1_xboole_0(X1,sK208(X0,X1,X2))
| r2_hidden(X2,k6_pre_topc(X0,X1)) ),
inference(cnf_transformation,[],[f9539]) ).
fof(f11424,plain,
! [X2,X0,X1] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| r2_hidden(X2,sK208(X0,X1,X2))
| r2_hidden(X2,k6_pre_topc(X0,X1)) ),
inference(cnf_transformation,[],[f9539]) ).
fof(f11425,plain,
! [X2,X0,X1] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| v3_pre_topc(sK208(X0,X1,X2),X0)
| r2_hidden(X2,k6_pre_topc(X0,X1)) ),
inference(cnf_transformation,[],[f9539]) ).
fof(f11426,plain,
! [X2,X0,X1] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
| ~ v3_pre_topc(X2,X0)
| ~ v3_pre_topc(X1,X0)
| v3_pre_topc(k4_subset_1(u1_struct_0(X0),X1,X2),X0) ),
inference(cnf_transformation,[],[f7317]) ).
fof(f11427,plain,
! [X0,X1] :
( ~ l1_pre_topc(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ v3_pre_topc(X1,X0)
| v4_pre_topc(k3_subset_1(u1_struct_0(X0),X1),X0) ),
inference(cnf_transformation,[],[f9540]) ).
fof(f11428,plain,
! [X0,X1] :
( ~ l1_pre_topc(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ v4_pre_topc(k3_subset_1(u1_struct_0(X0),X1),X0)
| v3_pre_topc(X1,X0) ),
inference(cnf_transformation,[],[f9540]) ).
fof(f11429,plain,
! [X0,X1] :
( ~ l1_pre_topc(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ v4_pre_topc(X1,X0)
| v3_pre_topc(k3_subset_1(u1_struct_0(X0),X1),X0) ),
inference(cnf_transformation,[],[f9541]) ).
fof(f11430,plain,
! [X0,X1] :
( ~ l1_pre_topc(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ v3_pre_topc(k3_subset_1(u1_struct_0(X0),X1),X0)
| v4_pre_topc(X1,X0) ),
inference(cnf_transformation,[],[f9541]) ).
fof(f11431,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| v4_pre_topc(sK209(X0),X0) ),
inference(cnf_transformation,[],[f9542]) ).
fof(f11432,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| v3_pre_topc(sK209(X0),X0) ),
inference(cnf_transformation,[],[f9542]) ).
fof(f11433,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| ~ v1_xboole_0(sK209(X0)) ),
inference(cnf_transformation,[],[f9542]) ).
fof(f11434,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| m1_subset_1(sK209(X0),k1_zfmisc_1(u1_struct_0(X0))) ),
inference(cnf_transformation,[],[f9542]) ).
fof(f11435,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v4_pre_topc(sK210(X0),X0) ),
inference(cnf_transformation,[],[f9543]) ).
fof(f11436,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_pre_topc(sK210(X0),X0) ),
inference(cnf_transformation,[],[f9543]) ).
fof(f11437,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| m1_subset_1(sK210(X0),k1_zfmisc_1(u1_struct_0(X0))) ),
inference(cnf_transformation,[],[f9543]) ).
fof(f11438,plain,
! [X0,X1] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ v1_xboole_0(X1)
| v4_pre_topc(X1,X0) ),
inference(cnf_transformation,[],[f7325]) ).
fof(f11439,plain,
! [X0,X1] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ v1_xboole_0(X1)
| v3_pre_topc(X1,X0) ),
inference(cnf_transformation,[],[f7325]) ).
fof(f11441,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_pre_topc(sK211(X0),X0) ),
inference(cnf_transformation,[],[f9544]) ).
fof(f11442,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| m1_subset_1(sK211(X0),k1_zfmisc_1(u1_struct_0(X0))) ),
inference(cnf_transformation,[],[f9544]) ).
fof(f11444,plain,
! [X2,X0,X1,X4] :
( ~ l1_pre_topc(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ r2_hidden(X2,k6_pre_topc(X0,X1))
| ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X0)))
| ~ r1_xboole_0(X1,X4)
| ~ r2_hidden(X2,X4)
| ~ v3_pre_topc(X4,X0) ),
inference(cnf_transformation,[],[f9548]) ).
fof(f11445,plain,
! [X2,X0,X1] :
( ~ l1_pre_topc(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ r2_hidden(X2,k6_pre_topc(X0,X1))
| ~ v3_struct_0(X0) ),
inference(cnf_transformation,[],[f9548]) ).
fof(f11446,plain,
! [X2,X0,X1] :
( ~ l1_pre_topc(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| m1_subset_1(sK212(X0,X1,X2),k1_zfmisc_1(u1_struct_0(X0)))
| v3_struct_0(X0)
| r2_hidden(X2,k6_pre_topc(X0,X1)) ),
inference(cnf_transformation,[],[f9548]) ).
fof(f11447,plain,
! [X2,X0,X1] :
( ~ l1_pre_topc(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| r1_xboole_0(X1,sK212(X0,X1,X2))
| v3_struct_0(X0)
| r2_hidden(X2,k6_pre_topc(X0,X1)) ),
inference(cnf_transformation,[],[f9548]) ).
fof(f11448,plain,
! [X2,X0,X1] :
( ~ l1_pre_topc(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| r2_hidden(X2,sK212(X0,X1,X2))
| v3_struct_0(X0)
| r2_hidden(X2,k6_pre_topc(X0,X1)) ),
inference(cnf_transformation,[],[f9548]) ).
fof(f11449,plain,
! [X2,X0,X1] :
( ~ l1_pre_topc(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| v3_pre_topc(sK212(X0,X1,X2),X0)
| v3_struct_0(X0)
| r2_hidden(X2,k6_pre_topc(X0,X1)) ),
inference(cnf_transformation,[],[f9548]) ).
fof(f11450,plain,
! [X2,X0,X1] :
( ~ sP17(X0,X1,X2)
| k6_pre_topc(X2,X1) != X0
| sP16(X2,X1,X0) ),
inference(cnf_transformation,[],[f9550]) ).
fof(f11451,plain,
! [X2,X0,X1] :
( ~ sP17(X0,X1,X2)
| ~ sP16(X2,X1,X0)
| k6_pre_topc(X2,X1) = X0 ),
inference(cnf_transformation,[],[f9550]) ).
fof(f11463,plain,
! [X2,X0,X1] :
( ~ l1_pre_topc(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
| sP17(X2,X1,X0) ),
inference(cnf_transformation,[],[f9238]) ).
fof(f11464,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0)
| m1_subset_1(k1_tops_1(X0,X1),k1_zfmisc_1(u1_struct_0(X0))) ),
inference(cnf_transformation,[],[f7337]) ).
fof(f11465,plain,
! [X0,X1] :
( ~ l1_pre_topc(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| r1_xboole_0(k1_tops_1(X0,X1),k2_tops_1(X0,X1)) ),
inference(cnf_transformation,[],[f7338]) ).
fof(f11466,plain,
! [X0,X1] :
( ~ l1_pre_topc(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| r1_tarski(k2_tops_1(X0,k1_tops_1(X0,X1)),k2_tops_1(X0,X1)) ),
inference(cnf_transformation,[],[f7339]) ).
fof(f11467,plain,
! [X0,X1] :
( ~ l1_pre_topc(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ v3_pre_topc(X1,X0)
| k6_pre_topc(X0,X1) = k6_pre_topc(X0,k1_tops_1(X0,k6_pre_topc(X0,X1))) ),
inference(cnf_transformation,[],[f7341]) ).
fof(f11468,plain,
! [X0,X1] :
( ~ l1_pre_topc(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| k6_pre_topc(X0,k1_tops_1(X0,X1)) = k6_pre_topc(X0,k1_tops_1(X0,k6_pre_topc(X0,k1_tops_1(X0,X1)))) ),
inference(cnf_transformation,[],[f7342]) ).
fof(f11469,plain,
! [X2,X0,X1] :
( ~ l1_pre_topc(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
| ~ r1_tarski(X1,X2)
| ~ v3_pre_topc(X1,X0)
| r1_tarski(X1,k1_tops_1(X0,X2)) ),
inference(cnf_transformation,[],[f7344]) ).
fof(f11470,plain,
! [X2,X3,X0,X1] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1)))
| k1_tops_1(X0,X2) != X2
| v3_pre_topc(X2,X0) ),
inference(cnf_transformation,[],[f7346]) ).
fof(f11471,plain,
! [X2,X3,X0,X1] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1)))
| ~ v3_pre_topc(X3,X1)
| k1_tops_1(X1,X3) = X3 ),
inference(cnf_transformation,[],[f7346]) ).
fof(f11472,plain,
! [X2,X0,X1] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
| ~ r2_hidden(X1,k1_tops_1(X0,X2))
| r2_hidden(X1,sK216(X0,X1,X2)) ),
inference(cnf_transformation,[],[f9557]) ).
fof(f11473,plain,
! [X2,X0,X1] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
| ~ r2_hidden(X1,k1_tops_1(X0,X2))
| r1_tarski(sK216(X0,X1,X2),X2) ),
inference(cnf_transformation,[],[f9557]) ).
fof(f11474,plain,
! [X2,X0,X1] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
| ~ r2_hidden(X1,k1_tops_1(X0,X2))
| v3_pre_topc(sK216(X0,X1,X2),X0) ),
inference(cnf_transformation,[],[f9557]) ).
fof(f11475,plain,
! [X2,X0,X1] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
| ~ r2_hidden(X1,k1_tops_1(X0,X2))
| m1_subset_1(sK216(X0,X1,X2),k1_zfmisc_1(u1_struct_0(X0))) ),
inference(cnf_transformation,[],[f9557]) ).
fof(f11476,plain,
! [X2,X3,X0,X1] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
| ~ r2_hidden(X1,X3)
| ~ r1_tarski(X3,X2)
| ~ v3_pre_topc(X3,X0)
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0)))
| r2_hidden(X1,k1_tops_1(X0,X2)) ),
inference(cnf_transformation,[],[f9557]) ).
fof(f11478,plain,
! [X2,X0,X1] :
( ~ l1_pre_topc(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
| r1_tarski(k4_subset_1(u1_struct_0(X0),k1_tops_1(X0,X1),k1_tops_1(X0,X2)),k1_tops_1(X0,k4_subset_1(u1_struct_0(X0),X1,X2))) ),
inference(cnf_transformation,[],[f7351]) ).
fof(f11479,plain,
! [X2,X0,X1] :
( ~ l1_pre_topc(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
| ~ r1_tarski(X1,X2)
| r1_tarski(k1_tops_1(X0,X1),k1_tops_1(X0,X2)) ),
inference(cnf_transformation,[],[f7353]) ).
fof(f11480,plain,
! [X2,X0,X1] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
| k5_subset_1(u1_struct_0(X0),k1_tops_1(X0,X1),k1_tops_1(X0,X2)) = k1_tops_1(X0,k5_subset_1(u1_struct_0(X0),X1,X2)) ),
inference(cnf_transformation,[],[f7355]) ).
fof(f11481,plain,
! [X0,X1] :
( ~ l1_pre_topc(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| k1_tops_1(X0,X1) = k1_tops_1(X0,k1_tops_1(X0,X1)) ),
inference(cnf_transformation,[],[f7356]) ).
fof(f11482,plain,
! [X0,X1] :
( ~ l1_pre_topc(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| r1_tarski(k1_tops_1(X0,X1),X1) ),
inference(cnf_transformation,[],[f7357]) ).
fof(f11483,plain,
! [X0,X1] :
( ~ l1_pre_topc(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| k1_tops_1(X0,X1) = k3_subset_1(u1_struct_0(X0),k6_pre_topc(X0,k3_subset_1(u1_struct_0(X0),X1))) ),
inference(cnf_transformation,[],[f7358]) ).
fof(f11484,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_pre_topc(k1_tops_1(X0,X1),X0) ),
inference(cnf_transformation,[],[f7360]) ).
fof(f11485,plain,
! [X2,X0,X1] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
| ~ v4_pre_topc(X2,X0)
| ~ v4_pre_topc(X1,X0)
| v4_pre_topc(k4_subset_1(u1_struct_0(X0),X1,X2),X0) ),
inference(cnf_transformation,[],[f7362]) ).
fof(f11486,plain,
! [X2,X0,X1] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
| ~ v4_pre_topc(X2,X0)
| ~ v4_pre_topc(X1,X0)
| v4_pre_topc(k5_subset_1(u1_struct_0(X0),X1,X2),X0) ),
inference(cnf_transformation,[],[f7364]) ).
fof(f11487,plain,
! [X2,X0,X1] :
( ~ l1_pre_topc(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
| ~ v4_pre_topc(X2,X0)
| ~ v4_pre_topc(X1,X0)
| k6_pre_topc(X0,k5_subset_1(u1_struct_0(X0),X1,X2)) = k5_subset_1(u1_struct_0(X0),k6_pre_topc(X0,X1),k6_pre_topc(X0,X2)) ),
inference(cnf_transformation,[],[f7366]) ).
fof(f11488,plain,
! [X2,X0,X1] :
( ~ l1_pre_topc(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
| ~ r1_tarski(X2,X1)
| ~ v4_pre_topc(X1,X0)
| r1_tarski(k6_pre_topc(X0,X2),X1) ),
inference(cnf_transformation,[],[f7368]) ).
fof(f11489,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v4_pre_topc(k6_pre_topc(X0,X1),X0) ),
inference(cnf_transformation,[],[f7370]) ).
fof(f11490,plain,
! [X0,X1] :
( ~ l1_pre_topc(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| k6_pre_topc(X0,X1) != X1
| ~ v2_pre_topc(X0)
| v4_pre_topc(X1,X0) ),
inference(cnf_transformation,[],[f7372]) ).
fof(f11491,plain,
! [X0,X1] :
( ~ l1_pre_topc(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ v4_pre_topc(X1,X0)
| k6_pre_topc(X0,X1) = X1 ),
inference(cnf_transformation,[],[f7372]) ).
fof(f11492,plain,
! [X2,X0,X1,X4] :
( ~ l1_pre_topc(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ r2_hidden(X2,u1_struct_0(X0))
| ~ r2_hidden(X2,k6_pre_topc(X0,X1))
| ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X0)))
| ~ r1_tarski(X1,X4)
| ~ v4_pre_topc(X4,X0)
| r2_hidden(X2,X4) ),
inference(cnf_transformation,[],[f9560]) ).
fof(f11493,plain,
! [X2,X0,X1] :
( ~ l1_pre_topc(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ r2_hidden(X2,u1_struct_0(X0))
| m1_subset_1(sK217(X0,X1,X2),k1_zfmisc_1(u1_struct_0(X0)))
| r2_hidden(X2,k6_pre_topc(X0,X1)) ),
inference(cnf_transformation,[],[f9560]) ).
fof(f11494,plain,
! [X2,X0,X1] :
( ~ l1_pre_topc(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ r2_hidden(X2,u1_struct_0(X0))
| r1_tarski(X1,sK217(X0,X1,X2))
| r2_hidden(X2,k6_pre_topc(X0,X1)) ),
inference(cnf_transformation,[],[f9560]) ).
fof(f11495,plain,
! [X2,X0,X1] :
( ~ l1_pre_topc(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ r2_hidden(X2,u1_struct_0(X0))
| v4_pre_topc(sK217(X0,X1,X2),X0)
| r2_hidden(X2,k6_pre_topc(X0,X1)) ),
inference(cnf_transformation,[],[f9560]) ).
fof(f11496,plain,
! [X2,X0,X1] :
( ~ l1_pre_topc(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ r2_hidden(X2,u1_struct_0(X0))
| ~ r2_hidden(X2,sK217(X0,X1,X2))
| r2_hidden(X2,k6_pre_topc(X0,X1)) ),
inference(cnf_transformation,[],[f9560]) ).
fof(f11497,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| v4_pre_topc(sK218(X0),X0) ),
inference(cnf_transformation,[],[f9561]) ).
fof(f11498,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| ~ v1_xboole_0(sK218(X0)) ),
inference(cnf_transformation,[],[f9561]) ).
fof(f11499,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| m1_subset_1(sK218(X0),k1_zfmisc_1(u1_struct_0(X0))) ),
inference(cnf_transformation,[],[f9561]) ).
fof(f11500,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v4_pre_topc(sK219(X0),X0) ),
inference(cnf_transformation,[],[f9562]) ).
fof(f11501,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| m1_subset_1(sK219(X0),k1_zfmisc_1(u1_struct_0(X0))) ),
inference(cnf_transformation,[],[f9562]) ).
fof(f11502,plain,
! [X2,X3,X0,X1] :
( v1_xboole_0(X0)
| ~ m1_eqrel_1(X1,X0)
| ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| ~ m1_subset_1(X3,k1_zfmisc_1(X0))
| k3_tarski(X2) != X3
| k3_subset_1(X0,X3) = k3_tarski(k3_subset_1(X1,X2)) ),
inference(cnf_transformation,[],[f7380]) ).
fof(f11503,plain,
! [X2,X0,X1] :
( ~ l1_struct_0(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
| k3_subset_1(u1_struct_0(X0),X1) != k3_subset_1(u1_struct_0(X0),X2)
| X1 = X2 ),
inference(cnf_transformation,[],[f7382]) ).
fof(f11504,plain,
! [X2,X0,X1] :
( ~ l1_struct_0(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
| ~ r1_tarski(X1,X2)
| r1_xboole_0(X1,k3_subset_1(u1_struct_0(X0),X2)) ),
inference(cnf_transformation,[],[f9563]) ).
fof(f11505,plain,
! [X2,X0,X1] :
( ~ l1_struct_0(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
| ~ r1_xboole_0(X1,k3_subset_1(u1_struct_0(X0),X2))
| r1_tarski(X1,X2) ),
inference(cnf_transformation,[],[f9563]) ).
fof(f11506,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| k3_subset_1(X0,k3_subset_1(X0,X1)) = X1 ),
inference(cnf_transformation,[],[f7384]) ).
fof(f11507,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| m1_subset_1(k3_subset_1(X0,X1),k1_zfmisc_1(X0)) ),
inference(cnf_transformation,[],[f7385]) ).
fof(f11508,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ r2_hidden(X1,X2)
| ~ r2_hidden(X1,k3_subset_1(X0,X2)) ),
inference(cnf_transformation,[],[f7387]) ).
fof(f11509,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| m1_subset_1(sK220(X0,X1,X2),X0)
| k3_subset_1(X0,X2) = X1 ),
inference(cnf_transformation,[],[f9566]) ).
fof(f11510,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ r2_hidden(sK220(X0,X1,X2),X1)
| r2_hidden(sK220(X0,X1,X2),X2)
| k3_subset_1(X0,X2) = X1 ),
inference(cnf_transformation,[],[f9566]) ).
fof(f11511,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ r2_hidden(sK220(X0,X1,X2),X2)
| r2_hidden(sK220(X0,X1,X2),X1)
| k3_subset_1(X0,X2) = X1 ),
inference(cnf_transformation,[],[f9566]) ).
fof(f11512,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| m1_subset_1(sK221(X0,X1,X2),X0)
| k3_subset_1(X0,X2) = X1 ),
inference(cnf_transformation,[],[f9569]) ).
fof(f11513,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ r2_hidden(sK221(X0,X1,X2),X1)
| r2_hidden(sK221(X0,X1,X2),X2)
| k3_subset_1(X0,X2) = X1 ),
inference(cnf_transformation,[],[f9569]) ).
fof(f11514,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| r2_hidden(sK221(X0,X1,X2),X1)
| ~ r2_hidden(sK221(X0,X1,X2),X2)
| k3_subset_1(X0,X2) = X1 ),
inference(cnf_transformation,[],[f9569]) ).
fof(f11515,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| m1_subset_1(sK222(X0,X1,X2),X0)
| k3_subset_1(X0,X2) = X1 ),
inference(cnf_transformation,[],[f9572]) ).
fof(f11516,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| r2_hidden(sK222(X0,X1,X2),X1)
| ~ r2_hidden(sK222(X0,X1,X2),X2)
| k3_subset_1(X0,X2) = X1 ),
inference(cnf_transformation,[],[f9572]) ).
fof(f11517,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ r2_hidden(sK222(X0,X1,X2),X1)
| r2_hidden(sK222(X0,X1,X2),X2)
| k3_subset_1(X0,X2) = X1 ),
inference(cnf_transformation,[],[f9572]) ).
fof(f11518,plain,
! [X2,X0,X1] :
( k1_xboole_0 = X0
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ m1_subset_1(X2,X0)
| r2_hidden(X2,X1)
| r2_hidden(X2,k3_subset_1(X0,X1)) ),
inference(cnf_transformation,[],[f7395]) ).
fof(f11519,plain,
! [X2,X3,X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ m1_subset_1(X3,k1_zfmisc_1(X0))
| ~ r1_xboole_0(X3,X2)
| ~ r1_tarski(X1,X2)
| r1_tarski(X1,k3_subset_1(X0,X3)) ),
inference(cnf_transformation,[],[f7397]) ).
fof(f11520,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ r1_xboole_0(k3_subset_1(X0,X1),k3_subset_1(X0,X2))
| ~ r1_xboole_0(X1,X2)
| k3_subset_1(X0,X2) = X1 ),
inference(cnf_transformation,[],[f7399]) ).
fof(f11521,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ r1_xboole_0(X1,k3_subset_1(X0,X2))
| r1_tarski(X1,X2) ),
inference(cnf_transformation,[],[f9573]) ).
fof(f11522,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ r1_tarski(X1,X2)
| r1_xboole_0(X1,k3_subset_1(X0,X2)) ),
inference(cnf_transformation,[],[f9573]) ).
fof(f11523,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ r1_xboole_0(X1,X2)
| r1_tarski(X1,k3_subset_1(X0,X2)) ),
inference(cnf_transformation,[],[f9574]) ).
fof(f11524,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ r1_tarski(X1,k3_subset_1(X0,X2))
| r1_xboole_0(X1,X2) ),
inference(cnf_transformation,[],[f9574]) ).
fof(f11525,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| r1_tarski(k3_subset_1(X0,k4_subset_1(X0,X1,X2)),k3_subset_1(X0,X1)) ),
inference(cnf_transformation,[],[f7402]) ).
fof(f11526,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ r1_tarski(X1,k3_subset_1(X0,X2))
| ~ r1_tarski(X1,X2)
| k1_xboole_0 = X1 ),
inference(cnf_transformation,[],[f7404]) ).
fof(f11527,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ r1_tarski(k3_subset_1(X0,X1),X2)
| r1_tarski(k3_subset_1(X0,X2),X1) ),
inference(cnf_transformation,[],[f7406]) ).
fof(f11528,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ r1_tarski(X1,k3_subset_1(X0,X2))
| r1_tarski(X2,k3_subset_1(X0,X1)) ),
inference(cnf_transformation,[],[f7408]) ).
fof(f11529,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ r1_tarski(X1,X2)
| r1_tarski(k3_subset_1(X0,X2),k3_subset_1(X0,X1)) ),
inference(cnf_transformation,[],[f9575]) ).
fof(f11530,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ r1_tarski(k3_subset_1(X0,X2),k3_subset_1(X0,X1))
| r1_tarski(X1,X2) ),
inference(cnf_transformation,[],[f9575]) ).
fof(f11531,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| r1_xboole_0(X1,k3_subset_1(X0,X1)) ),
inference(cnf_transformation,[],[f7410]) ).
fof(f11532,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| k4_xboole_0(X0,X1) = k3_subset_1(X0,X1) ),
inference(cnf_transformation,[],[f7411]) ).
fof(f11533,plain,
! [X0,X1] :
( ~ v5_membered(X1)
| ~ r2_hidden(X1,X0)
| v5_membered(k1_setfam_1(X0)) ),
inference(cnf_transformation,[],[f7413]) ).
fof(f11534,plain,
! [X0] :
( r2_hidden(sK223(X0),X0)
| v5_membered(k3_tarski(X0)) ),
inference(cnf_transformation,[],[f9576]) ).
fof(f11535,plain,
! [X0] :
( ~ v5_membered(sK223(X0))
| v5_membered(k3_tarski(X0)) ),
inference(cnf_transformation,[],[f9576]) ).
fof(f11537,plain,
! [X0,X1] :
( ~ v5_membered(X0)
| ~ v5_membered(X1)
| v4_ordinal2(sK224(X0,X1))
| r1_xboole_0(X0,X1) ),
inference(cnf_transformation,[],[f9579]) ).
fof(f11538,plain,
! [X0,X1] :
( ~ v5_membered(X0)
| ~ v5_membered(X1)
| r2_hidden(sK224(X0,X1),X1)
| r1_xboole_0(X0,X1) ),
inference(cnf_transformation,[],[f9579]) ).
fof(f11539,plain,
! [X0,X1] :
( ~ v5_membered(X0)
| ~ v5_membered(X1)
| r2_hidden(sK224(X0,X1),X0)
| r1_xboole_0(X0,X1) ),
inference(cnf_transformation,[],[f9579]) ).
fof(f11542,plain,
! [X0,X1] :
( ~ v5_membered(X0)
| ~ v5_membered(X1)
| v4_ordinal2(sK225(X0,X1))
| X0 = X1 ),
inference(cnf_transformation,[],[f9583]) ).
fof(f11543,plain,
! [X0,X1] :
( ~ v5_membered(X0)
| ~ v5_membered(X1)
| r2_hidden(sK225(X0,X1),X0)
| r2_hidden(sK225(X0,X1),X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f9583]) ).
fof(f11544,plain,
! [X0,X1] :
( ~ v5_membered(X0)
| ~ v5_membered(X1)
| ~ r2_hidden(sK225(X0,X1),X0)
| ~ r2_hidden(sK225(X0,X1),X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f9583]) ).
fof(f11545,plain,
! [X3,X0,X1] :
( ~ v5_membered(X0)
| ~ v5_membered(X1)
| ~ r1_tarski(X0,X1)
| ~ v4_ordinal2(X3)
| ~ r2_hidden(X3,X0)
| r2_hidden(X3,X1) ),
inference(cnf_transformation,[],[f9586]) ).
fof(f11546,plain,
! [X0,X1] :
( ~ v5_membered(X0)
| ~ v5_membered(X1)
| v4_ordinal2(sK226(X0,X1))
| r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f9586]) ).
fof(f11547,plain,
! [X0,X1] :
( ~ v5_membered(X0)
| ~ v5_membered(X1)
| r2_hidden(sK226(X0,X1),X0)
| r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f9586]) ).
fof(f11548,plain,
! [X0,X1] :
( ~ v5_membered(X0)
| ~ v5_membered(X1)
| ~ r2_hidden(sK226(X0,X1),X1)
| r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f9586]) ).
fof(f11549,plain,
! [X0,X1] :
( ~ v5_membered(X1)
| ~ r1_tarski(X0,X1)
| v5_membered(X0) ),
inference(cnf_transformation,[],[f7421]) ).
fof(f11550,plain,
! [X0] :
( ~ v5_membered(X0)
| v4_ordinal2(sK227(X0))
| k5_numbers = X0 ),
inference(cnf_transformation,[],[f9587]) ).
fof(f11551,plain,
! [X0] :
( ~ v5_membered(X0)
| ~ r2_hidden(sK227(X0),X0)
| k5_numbers = X0 ),
inference(cnf_transformation,[],[f9587]) ).
fof(f11552,plain,
! [X0] :
( ~ v5_membered(X0)
| v1_xboole_0(X0)
| r2_hidden(sK228(X0),X0) ),
inference(cnf_transformation,[],[f9588]) ).
fof(f11553,plain,
! [X0] :
( ~ v5_membered(X0)
| v1_xboole_0(X0)
| v4_ordinal2(sK228(X0)) ),
inference(cnf_transformation,[],[f9588]) ).
fof(f11554,plain,
! [X0] :
( ~ v5_membered(X0)
| r1_tarski(X0,k5_numbers) ),
inference(cnf_transformation,[],[f7426]) ).
fof(f11555,plain,
! [X2,X0] :
( ~ v5_membered(X0)
| ~ r2_hidden(X2,X0)
| v4_ordinal2(X2) ),
inference(cnf_transformation,[],[f9591]) ).
fof(f11556,plain,
! [X0] :
( r2_hidden(sK229(X0),X0)
| v5_membered(X0) ),
inference(cnf_transformation,[],[f9591]) ).
fof(f11557,plain,
! [X0] :
( ~ v4_ordinal2(sK229(X0))
| v5_membered(X0) ),
inference(cnf_transformation,[],[f9591]) ).
fof(f11558,plain,
! [X0,X1] :
( ~ v5_membered(X1)
| ~ v5_membered(X0)
| v5_membered(k5_xboole_0(X0,X1)) ),
inference(cnf_transformation,[],[f7429]) ).
fof(f11559,plain,
! [X0,X1] :
( ~ v5_membered(X1)
| ~ v5_membered(X0)
| v4_membered(k5_xboole_0(X0,X1)) ),
inference(cnf_transformation,[],[f7429]) ).
fof(f11560,plain,
! [X0,X1] :
( ~ v5_membered(X1)
| ~ v5_membered(X0)
| v3_membered(k5_xboole_0(X0,X1)) ),
inference(cnf_transformation,[],[f7429]) ).
fof(f11561,plain,
! [X0,X1] :
( ~ v5_membered(X1)
| ~ v5_membered(X0)
| v2_membered(k5_xboole_0(X0,X1)) ),
inference(cnf_transformation,[],[f7429]) ).
fof(f11562,plain,
! [X0,X1] :
( ~ v5_membered(X1)
| ~ v5_membered(X0)
| v1_membered(k5_xboole_0(X0,X1)) ),
inference(cnf_transformation,[],[f7429]) ).
fof(f11563,plain,
! [X0,X1] :
( ~ v5_membered(X0)
| v5_membered(k4_xboole_0(X0,X1)) ),
inference(cnf_transformation,[],[f7430]) ).
fof(f11564,plain,
! [X0,X1] :
( ~ v5_membered(X0)
| v4_membered(k4_xboole_0(X0,X1)) ),
inference(cnf_transformation,[],[f7430]) ).
fof(f11565,plain,
! [X0,X1] :
( ~ v5_membered(X0)
| v3_membered(k4_xboole_0(X0,X1)) ),
inference(cnf_transformation,[],[f7430]) ).
fof(f11566,plain,
! [X0,X1] :
( ~ v5_membered(X0)
| v2_membered(k4_xboole_0(X0,X1)) ),
inference(cnf_transformation,[],[f7430]) ).
fof(f11567,plain,
! [X0,X1] :
( ~ v5_membered(X0)
| v1_membered(k4_xboole_0(X0,X1)) ),
inference(cnf_transformation,[],[f7430]) ).
fof(f11568,plain,
! [X0,X1] :
( ~ v5_membered(X0)
| v5_membered(k3_xboole_0(X1,X0)) ),
inference(cnf_transformation,[],[f7431]) ).
fof(f11569,plain,
! [X0,X1] :
( ~ v5_membered(X0)
| v4_membered(k3_xboole_0(X1,X0)) ),
inference(cnf_transformation,[],[f7431]) ).
fof(f11570,plain,
! [X0,X1] :
( ~ v5_membered(X0)
| v3_membered(k3_xboole_0(X1,X0)) ),
inference(cnf_transformation,[],[f7431]) ).
fof(f11571,plain,
! [X0,X1] :
( ~ v5_membered(X0)
| v2_membered(k3_xboole_0(X1,X0)) ),
inference(cnf_transformation,[],[f7431]) ).
fof(f11572,plain,
! [X0,X1] :
( ~ v5_membered(X0)
| v1_membered(k3_xboole_0(X1,X0)) ),
inference(cnf_transformation,[],[f7431]) ).
fof(f11578,plain,
! [X0,X1] :
( ~ v5_membered(X1)
| ~ v5_membered(X0)
| v5_membered(k2_xboole_0(X0,X1)) ),
inference(cnf_transformation,[],[f7434]) ).
fof(f11579,plain,
! [X0,X1] :
( ~ v5_membered(X1)
| ~ v5_membered(X0)
| v4_membered(k2_xboole_0(X0,X1)) ),
inference(cnf_transformation,[],[f7434]) ).
fof(f11580,plain,
! [X0,X1] :
( ~ v5_membered(X1)
| ~ v5_membered(X0)
| v3_membered(k2_xboole_0(X0,X1)) ),
inference(cnf_transformation,[],[f7434]) ).
fof(f11581,plain,
! [X0,X1] :
( ~ v5_membered(X1)
| ~ v5_membered(X0)
| v2_membered(k2_xboole_0(X0,X1)) ),
inference(cnf_transformation,[],[f7434]) ).
fof(f11582,plain,
! [X0,X1] :
( ~ v5_membered(X1)
| ~ v5_membered(X0)
| v1_membered(k2_xboole_0(X0,X1)) ),
inference(cnf_transformation,[],[f7434]) ).
fof(f11584,plain,
! [X0,X1] :
( ~ v5_membered(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| v4_membered(X1) ),
inference(cnf_transformation,[],[f7435]) ).
fof(f11585,plain,
! [X0,X1] :
( ~ v5_membered(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| v3_membered(X1) ),
inference(cnf_transformation,[],[f7435]) ).
fof(f11586,plain,
! [X0,X1] :
( ~ v5_membered(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| v2_membered(X1) ),
inference(cnf_transformation,[],[f7435]) ).
fof(f11587,plain,
! [X0,X1] :
( ~ v5_membered(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| v1_membered(X1) ),
inference(cnf_transformation,[],[f7435]) ).
fof(f11588,plain,
! [X2,X0,X1] :
( ~ v4_ordinal2(X2)
| ~ v4_ordinal2(X1)
| ~ v4_ordinal2(X0)
| v5_membered(k1_enumset1(X0,X1,X2)) ),
inference(cnf_transformation,[],[f7437]) ).
fof(f11589,plain,
! [X2,X0,X1] :
( ~ v4_ordinal2(X2)
| ~ v4_ordinal2(X1)
| ~ v4_ordinal2(X0)
| v4_membered(k1_enumset1(X0,X1,X2)) ),
inference(cnf_transformation,[],[f7437]) ).
fof(f11590,plain,
! [X2,X0,X1] :
( ~ v4_ordinal2(X2)
| ~ v4_ordinal2(X1)
| ~ v4_ordinal2(X0)
| v3_membered(k1_enumset1(X0,X1,X2)) ),
inference(cnf_transformation,[],[f7437]) ).
fof(f11591,plain,
! [X2,X0,X1] :
( ~ v4_ordinal2(X2)
| ~ v4_ordinal2(X1)
| ~ v4_ordinal2(X0)
| v2_membered(k1_enumset1(X0,X1,X2)) ),
inference(cnf_transformation,[],[f7437]) ).
fof(f11592,plain,
! [X2,X0,X1] :
( ~ v4_ordinal2(X2)
| ~ v4_ordinal2(X1)
| ~ v4_ordinal2(X0)
| v1_membered(k1_enumset1(X0,X1,X2)) ),
inference(cnf_transformation,[],[f7437]) ).
fof(f11593,plain,
! [X0,X1] :
( ~ v4_ordinal2(X1)
| ~ v4_ordinal2(X0)
| v5_membered(k2_tarski(X0,X1)) ),
inference(cnf_transformation,[],[f7439]) ).
fof(f11594,plain,
! [X0,X1] :
( ~ v4_ordinal2(X1)
| ~ v4_ordinal2(X0)
| v4_membered(k2_tarski(X0,X1)) ),
inference(cnf_transformation,[],[f7439]) ).
fof(f11595,plain,
! [X0,X1] :
( ~ v4_ordinal2(X1)
| ~ v4_ordinal2(X0)
| v3_membered(k2_tarski(X0,X1)) ),
inference(cnf_transformation,[],[f7439]) ).
fof(f11596,plain,
! [X0,X1] :
( ~ v4_ordinal2(X1)
| ~ v4_ordinal2(X0)
| v2_membered(k2_tarski(X0,X1)) ),
inference(cnf_transformation,[],[f7439]) ).
fof(f11597,plain,
! [X0,X1] :
( ~ v4_ordinal2(X1)
| ~ v4_ordinal2(X0)
| v1_membered(k2_tarski(X0,X1)) ),
inference(cnf_transformation,[],[f7439]) ).
fof(f11598,plain,
! [X0] :
( ~ v4_ordinal2(X0)
| v5_membered(k1_tarski(X0)) ),
inference(cnf_transformation,[],[f7440]) ).
fof(f11599,plain,
! [X0] :
( ~ v4_ordinal2(X0)
| v4_membered(k1_tarski(X0)) ),
inference(cnf_transformation,[],[f7440]) ).
fof(f11600,plain,
! [X0] :
( ~ v4_ordinal2(X0)
| v3_membered(k1_tarski(X0)) ),
inference(cnf_transformation,[],[f7440]) ).
fof(f11601,plain,
! [X0] :
( ~ v4_ordinal2(X0)
| v2_membered(k1_tarski(X0)) ),
inference(cnf_transformation,[],[f7440]) ).
fof(f11602,plain,
! [X0] :
( ~ v4_ordinal2(X0)
| v1_membered(k1_tarski(X0)) ),
inference(cnf_transformation,[],[f7440]) ).
fof(f11603,plain,
! [X0] :
( ~ v1_xboole_0(X0)
| v5_membered(X0) ),
inference(cnf_transformation,[],[f7441]) ).
fof(f11604,plain,
! [X0] :
( ~ v1_xboole_0(X0)
| v4_membered(X0) ),
inference(cnf_transformation,[],[f7441]) ).
fof(f11605,plain,
! [X0] :
( ~ v1_xboole_0(X0)
| v3_membered(X0) ),
inference(cnf_transformation,[],[f7441]) ).
fof(f11606,plain,
! [X0] :
( ~ v1_xboole_0(X0)
| v2_membered(X0) ),
inference(cnf_transformation,[],[f7441]) ).
fof(f11607,plain,
! [X0] :
( ~ v1_xboole_0(X0)
| v1_membered(X0) ),
inference(cnf_transformation,[],[f7441]) ).
fof(f11608,plain,
v5_membered(k1_xboole_0),
inference(cnf_transformation,[],[f3012]) ).
fof(f11609,plain,
v4_membered(k1_xboole_0),
inference(cnf_transformation,[],[f3012]) ).
fof(f11610,plain,
v3_membered(k1_xboole_0),
inference(cnf_transformation,[],[f3012]) ).
fof(f11611,plain,
v2_membered(k1_xboole_0),
inference(cnf_transformation,[],[f3012]) ).
fof(f11612,plain,
v1_membered(k1_xboole_0),
inference(cnf_transformation,[],[f3012]) ).
fof(f11614,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(k5_numbers))
| v5_membered(X0) ),
inference(cnf_transformation,[],[f7442]) ).
fof(f11615,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(k5_numbers))
| v4_membered(X0) ),
inference(cnf_transformation,[],[f7442]) ).
fof(f11616,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(k5_numbers))
| v3_membered(X0) ),
inference(cnf_transformation,[],[f7442]) ).
fof(f11617,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(k5_numbers))
| v2_membered(X0) ),
inference(cnf_transformation,[],[f7442]) ).
fof(f11618,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(k5_numbers))
| v1_membered(X0) ),
inference(cnf_transformation,[],[f7442]) ).
fof(f11619,plain,
v5_membered(sK230),
inference(cnf_transformation,[],[f9592]) ).
fof(f11620,plain,
v4_membered(sK230),
inference(cnf_transformation,[],[f9592]) ).
fof(f11621,plain,
v3_membered(sK230),
inference(cnf_transformation,[],[f9592]) ).
fof(f11622,plain,
v2_membered(sK230),
inference(cnf_transformation,[],[f9592]) ).
fof(f11623,plain,
v1_membered(sK230),
inference(cnf_transformation,[],[f9592]) ).
fof(f11624,plain,
~ v1_xboole_0(sK230),
inference(cnf_transformation,[],[f9592]) ).
fof(f11625,plain,
! [X0] :
( ~ v5_membered(X0)
| v4_membered(X0) ),
inference(cnf_transformation,[],[f7443]) ).
fof(f11626,plain,
! [X0] :
( r2_hidden(sK231(X0),X0)
| v4_membered(k3_tarski(X0)) ),
inference(cnf_transformation,[],[f9593]) ).
fof(f11627,plain,
! [X0] :
( ~ v4_membered(sK231(X0))
| v4_membered(k3_tarski(X0)) ),
inference(cnf_transformation,[],[f9593]) ).
fof(f11629,plain,
! [X0,X1] :
( ~ v4_membered(X0)
| ~ v4_membered(X1)
| v1_int_1(sK232(X0,X1))
| r1_xboole_0(X0,X1) ),
inference(cnf_transformation,[],[f9596]) ).
fof(f11630,plain,
! [X0,X1] :
( ~ v4_membered(X0)
| ~ v4_membered(X1)
| r2_hidden(sK232(X0,X1),X1)
| r1_xboole_0(X0,X1) ),
inference(cnf_transformation,[],[f9596]) ).
fof(f11631,plain,
! [X0,X1] :
( ~ v4_membered(X0)
| ~ v4_membered(X1)
| r2_hidden(sK232(X0,X1),X0)
| r1_xboole_0(X0,X1) ),
inference(cnf_transformation,[],[f9596]) ).
fof(f11634,plain,
! [X0,X1] :
( ~ v4_membered(X0)
| ~ v4_membered(X1)
| v1_int_1(sK233(X0,X1))
| X0 = X1 ),
inference(cnf_transformation,[],[f9600]) ).
fof(f11635,plain,
! [X0,X1] :
( ~ v4_membered(X0)
| ~ v4_membered(X1)
| r2_hidden(sK233(X0,X1),X0)
| r2_hidden(sK233(X0,X1),X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f9600]) ).
fof(f11636,plain,
! [X0,X1] :
( ~ v4_membered(X0)
| ~ v4_membered(X1)
| ~ r2_hidden(sK233(X0,X1),X0)
| ~ r2_hidden(sK233(X0,X1),X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f9600]) ).
fof(f11638,plain,
! [X0,X1] :
( ~ v4_membered(X0)
| ~ v4_membered(X1)
| v1_int_1(sK234(X0,X1))
| r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f9603]) ).
fof(f11639,plain,
! [X0,X1] :
( ~ v4_membered(X0)
| ~ v4_membered(X1)
| r2_hidden(sK234(X0,X1),X0)
| r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f9603]) ).
fof(f11640,plain,
! [X0,X1] :
( ~ v4_membered(X0)
| ~ v4_membered(X1)
| ~ r2_hidden(sK234(X0,X1),X1)
| r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f9603]) ).
fof(f11641,plain,
! [X0,X1] :
( ~ v4_membered(X1)
| ~ r1_tarski(X0,X1)
| v4_membered(X0) ),
inference(cnf_transformation,[],[f7451]) ).
fof(f11642,plain,
! [X0] :
( ~ v4_membered(X0)
| v1_int_1(sK235(X0))
| k4_numbers = X0 ),
inference(cnf_transformation,[],[f9604]) ).
fof(f11643,plain,
! [X0] :
( ~ v4_membered(X0)
| ~ r2_hidden(sK235(X0),X0)
| k4_numbers = X0 ),
inference(cnf_transformation,[],[f9604]) ).
fof(f11644,plain,
! [X0] :
( ~ v4_membered(X0)
| v1_xboole_0(X0)
| r2_hidden(sK236(X0),X0) ),
inference(cnf_transformation,[],[f9605]) ).
fof(f11645,plain,
! [X0] :
( ~ v4_membered(X0)
| v1_xboole_0(X0)
| v1_int_1(sK236(X0)) ),
inference(cnf_transformation,[],[f9605]) ).
fof(f11646,plain,
! [X0] :
( ~ v4_membered(X0)
| r1_tarski(X0,k4_numbers) ),
inference(cnf_transformation,[],[f7456]) ).
fof(f11647,plain,
! [X2,X0] :
( ~ v4_membered(X0)
| ~ r2_hidden(X2,X0)
| v1_int_1(X2) ),
inference(cnf_transformation,[],[f9608]) ).
fof(f11648,plain,
! [X0] :
( r2_hidden(sK237(X0),X0)
| v4_membered(X0) ),
inference(cnf_transformation,[],[f9608]) ).
fof(f11649,plain,
! [X0] :
( ~ v1_int_1(sK237(X0))
| v4_membered(X0) ),
inference(cnf_transformation,[],[f9608]) ).
fof(f11650,plain,
! [X0,X1] :
( ~ v4_membered(X1)
| ~ v4_membered(X0)
| v4_membered(k5_xboole_0(X0,X1)) ),
inference(cnf_transformation,[],[f7459]) ).
fof(f11651,plain,
! [X0,X1] :
( ~ v4_membered(X1)
| ~ v4_membered(X0)
| v3_membered(k5_xboole_0(X0,X1)) ),
inference(cnf_transformation,[],[f7459]) ).
fof(f11652,plain,
! [X0,X1] :
( ~ v4_membered(X1)
| ~ v4_membered(X0)
| v2_membered(k5_xboole_0(X0,X1)) ),
inference(cnf_transformation,[],[f7459]) ).
fof(f11653,plain,
! [X0,X1] :
( ~ v4_membered(X1)
| ~ v4_membered(X0)
| v1_membered(k5_xboole_0(X0,X1)) ),
inference(cnf_transformation,[],[f7459]) ).
fof(f11654,plain,
! [X0,X1] :
( ~ v4_membered(X0)
| v4_membered(k4_xboole_0(X0,X1)) ),
inference(cnf_transformation,[],[f7460]) ).
fof(f11655,plain,
! [X0,X1] :
( ~ v4_membered(X0)
| v3_membered(k4_xboole_0(X0,X1)) ),
inference(cnf_transformation,[],[f7460]) ).
fof(f11656,plain,
! [X0,X1] :
( ~ v4_membered(X0)
| v2_membered(k4_xboole_0(X0,X1)) ),
inference(cnf_transformation,[],[f7460]) ).
fof(f11657,plain,
! [X0,X1] :
( ~ v4_membered(X0)
| v1_membered(k4_xboole_0(X0,X1)) ),
inference(cnf_transformation,[],[f7460]) ).
fof(f11658,plain,
! [X0,X1] :
( ~ v4_membered(X0)
| v4_membered(k3_xboole_0(X1,X0)) ),
inference(cnf_transformation,[],[f7461]) ).
fof(f11659,plain,
! [X0,X1] :
( ~ v4_membered(X0)
| v3_membered(k3_xboole_0(X1,X0)) ),
inference(cnf_transformation,[],[f7461]) ).
fof(f11660,plain,
! [X0,X1] :
( ~ v4_membered(X0)
| v2_membered(k3_xboole_0(X1,X0)) ),
inference(cnf_transformation,[],[f7461]) ).
fof(f11661,plain,
! [X0,X1] :
( ~ v4_membered(X0)
| v1_membered(k3_xboole_0(X1,X0)) ),
inference(cnf_transformation,[],[f7461]) ).
fof(f11666,plain,
! [X0,X1] :
( ~ v4_membered(X1)
| ~ v4_membered(X0)
| v4_membered(k2_xboole_0(X0,X1)) ),
inference(cnf_transformation,[],[f7464]) ).
fof(f11667,plain,
! [X0,X1] :
( ~ v4_membered(X1)
| ~ v4_membered(X0)
| v3_membered(k2_xboole_0(X0,X1)) ),
inference(cnf_transformation,[],[f7464]) ).
fof(f11668,plain,
! [X0,X1] :
( ~ v4_membered(X1)
| ~ v4_membered(X0)
| v2_membered(k2_xboole_0(X0,X1)) ),
inference(cnf_transformation,[],[f7464]) ).
fof(f11669,plain,
! [X0,X1] :
( ~ v4_membered(X1)
| ~ v4_membered(X0)
| v1_membered(k2_xboole_0(X0,X1)) ),
inference(cnf_transformation,[],[f7464]) ).
fof(f11671,plain,
! [X0,X1] :
( ~ v4_membered(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| v3_membered(X1) ),
inference(cnf_transformation,[],[f7465]) ).
fof(f11672,plain,
! [X0,X1] :
( ~ v4_membered(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| v2_membered(X1) ),
inference(cnf_transformation,[],[f7465]) ).
fof(f11673,plain,
! [X0,X1] :
( ~ v4_membered(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| v1_membered(X1) ),
inference(cnf_transformation,[],[f7465]) ).
fof(f11674,plain,
! [X2,X0,X1] :
( ~ v1_int_1(X2)
| ~ v1_int_1(X1)
| ~ v1_int_1(X0)
| v4_membered(k1_enumset1(X0,X1,X2)) ),
inference(cnf_transformation,[],[f7467]) ).
fof(f11675,plain,
! [X2,X0,X1] :
( ~ v1_int_1(X2)
| ~ v1_int_1(X1)
| ~ v1_int_1(X0)
| v3_membered(k1_enumset1(X0,X1,X2)) ),
inference(cnf_transformation,[],[f7467]) ).
fof(f11676,plain,
! [X2,X0,X1] :
( ~ v1_int_1(X2)
| ~ v1_int_1(X1)
| ~ v1_int_1(X0)
| v2_membered(k1_enumset1(X0,X1,X2)) ),
inference(cnf_transformation,[],[f7467]) ).
fof(f11677,plain,
! [X2,X0,X1] :
( ~ v1_int_1(X2)
| ~ v1_int_1(X1)
| ~ v1_int_1(X0)
| v1_membered(k1_enumset1(X0,X1,X2)) ),
inference(cnf_transformation,[],[f7467]) ).
fof(f11678,plain,
! [X0,X1] :
( ~ v1_int_1(X1)
| ~ v1_int_1(X0)
| v4_membered(k2_tarski(X0,X1)) ),
inference(cnf_transformation,[],[f7469]) ).
fof(f11679,plain,
! [X0,X1] :
( ~ v1_int_1(X1)
| ~ v1_int_1(X0)
| v3_membered(k2_tarski(X0,X1)) ),
inference(cnf_transformation,[],[f7469]) ).
fof(f11680,plain,
! [X0,X1] :
( ~ v1_int_1(X1)
| ~ v1_int_1(X0)
| v2_membered(k2_tarski(X0,X1)) ),
inference(cnf_transformation,[],[f7469]) ).
fof(f11681,plain,
! [X0,X1] :
( ~ v1_int_1(X1)
| ~ v1_int_1(X0)
| v1_membered(k2_tarski(X0,X1)) ),
inference(cnf_transformation,[],[f7469]) ).
fof(f11682,plain,
! [X0] :
( ~ v1_int_1(X0)
| v4_membered(k1_tarski(X0)) ),
inference(cnf_transformation,[],[f7470]) ).
fof(f11683,plain,
! [X0] :
( ~ v1_int_1(X0)
| v3_membered(k1_tarski(X0)) ),
inference(cnf_transformation,[],[f7470]) ).
fof(f11684,plain,
! [X0] :
( ~ v1_int_1(X0)
| v2_membered(k1_tarski(X0)) ),
inference(cnf_transformation,[],[f7470]) ).
fof(f11685,plain,
! [X0] :
( ~ v1_int_1(X0)
| v1_membered(k1_tarski(X0)) ),
inference(cnf_transformation,[],[f7470]) ).
fof(f11686,plain,
v4_membered(k4_numbers),
inference(cnf_transformation,[],[f3005]) ).
fof(f11687,plain,
v3_membered(k4_numbers),
inference(cnf_transformation,[],[f3005]) ).
fof(f11688,plain,
v2_membered(k4_numbers),
inference(cnf_transformation,[],[f3005]) ).
fof(f11689,plain,
v1_membered(k4_numbers),
inference(cnf_transformation,[],[f3005]) ).
fof(f11691,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(k4_numbers))
| v4_membered(X0) ),
inference(cnf_transformation,[],[f7471]) ).
fof(f11692,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(k4_numbers))
| v3_membered(X0) ),
inference(cnf_transformation,[],[f7471]) ).
fof(f11693,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(k4_numbers))
| v2_membered(X0) ),
inference(cnf_transformation,[],[f7471]) ).
fof(f11694,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(k4_numbers))
| v1_membered(X0) ),
inference(cnf_transformation,[],[f7471]) ).
fof(f11695,plain,
! [X0] :
( ~ v4_membered(X0)
| v3_membered(X0) ),
inference(cnf_transformation,[],[f7472]) ).
fof(f11696,plain,
! [X0] :
( r2_hidden(sK238(X0),X0)
| v3_membered(k3_tarski(X0)) ),
inference(cnf_transformation,[],[f9609]) ).
fof(f11697,plain,
! [X0] :
( ~ v3_membered(sK238(X0))
| v3_membered(k3_tarski(X0)) ),
inference(cnf_transformation,[],[f9609]) ).
fof(f11698,plain,
! [X0,X1] :
( ~ v3_membered(X1)
| ~ r1_tarski(X0,X1)
| v3_membered(X0) ),
inference(cnf_transformation,[],[f7475]) ).
fof(f11699,plain,
! [X0] :
( ~ v3_membered(X0)
| r1_tarski(X0,k3_numbers) ),
inference(cnf_transformation,[],[f7476]) ).
fof(f11700,plain,
! [X0,X1] :
( ~ v3_membered(X1)
| ~ v3_membered(X0)
| v3_membered(k5_xboole_0(X0,X1)) ),
inference(cnf_transformation,[],[f7478]) ).
fof(f11701,plain,
! [X0,X1] :
( ~ v3_membered(X1)
| ~ v3_membered(X0)
| v2_membered(k5_xboole_0(X0,X1)) ),
inference(cnf_transformation,[],[f7478]) ).
fof(f11702,plain,
! [X0,X1] :
( ~ v3_membered(X1)
| ~ v3_membered(X0)
| v1_membered(k5_xboole_0(X0,X1)) ),
inference(cnf_transformation,[],[f7478]) ).
fof(f11703,plain,
! [X0,X1] :
( ~ v3_membered(X0)
| v3_membered(k4_xboole_0(X0,X1)) ),
inference(cnf_transformation,[],[f7479]) ).
fof(f11704,plain,
! [X0,X1] :
( ~ v3_membered(X0)
| v2_membered(k4_xboole_0(X0,X1)) ),
inference(cnf_transformation,[],[f7479]) ).
fof(f11705,plain,
! [X0,X1] :
( ~ v3_membered(X0)
| v1_membered(k4_xboole_0(X0,X1)) ),
inference(cnf_transformation,[],[f7479]) ).
fof(f11706,plain,
! [X0,X1] :
( ~ v3_membered(X0)
| v3_membered(k3_xboole_0(X1,X0)) ),
inference(cnf_transformation,[],[f7480]) ).
fof(f11707,plain,
! [X0,X1] :
( ~ v3_membered(X0)
| v2_membered(k3_xboole_0(X1,X0)) ),
inference(cnf_transformation,[],[f7480]) ).
fof(f11708,plain,
! [X0,X1] :
( ~ v3_membered(X0)
| v1_membered(k3_xboole_0(X1,X0)) ),
inference(cnf_transformation,[],[f7480]) ).
fof(f11712,plain,
! [X0,X1] :
( ~ v3_membered(X1)
| ~ v3_membered(X0)
| v3_membered(k2_xboole_0(X0,X1)) ),
inference(cnf_transformation,[],[f7483]) ).
fof(f11713,plain,
! [X0,X1] :
( ~ v3_membered(X1)
| ~ v3_membered(X0)
| v2_membered(k2_xboole_0(X0,X1)) ),
inference(cnf_transformation,[],[f7483]) ).
fof(f11714,plain,
! [X0,X1] :
( ~ v3_membered(X1)
| ~ v3_membered(X0)
| v1_membered(k2_xboole_0(X0,X1)) ),
inference(cnf_transformation,[],[f7483]) ).
fof(f11716,plain,
! [X0,X1] :
( ~ v3_membered(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| v2_membered(X1) ),
inference(cnf_transformation,[],[f7484]) ).
fof(f11717,plain,
! [X0,X1] :
( ~ v3_membered(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| v1_membered(X1) ),
inference(cnf_transformation,[],[f7484]) ).
fof(f11718,plain,
v3_membered(k3_numbers),
inference(cnf_transformation,[],[f3004]) ).
fof(f11719,plain,
v2_membered(k3_numbers),
inference(cnf_transformation,[],[f3004]) ).
fof(f11720,plain,
v1_membered(k3_numbers),
inference(cnf_transformation,[],[f3004]) ).
fof(f11722,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(k3_numbers))
| v3_membered(X0) ),
inference(cnf_transformation,[],[f7485]) ).
fof(f11723,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(k3_numbers))
| v2_membered(X0) ),
inference(cnf_transformation,[],[f7485]) ).
fof(f11724,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(k3_numbers))
| v1_membered(X0) ),
inference(cnf_transformation,[],[f7485]) ).
fof(f11725,plain,
! [X0] :
( ~ v3_membered(X0)
| v2_membered(X0) ),
inference(cnf_transformation,[],[f7486]) ).
fof(f11726,plain,
! [X0] :
( r2_hidden(sK239(X0),X0)
| v2_membered(k3_tarski(X0)) ),
inference(cnf_transformation,[],[f9610]) ).
fof(f11727,plain,
! [X0] :
( ~ v2_membered(sK239(X0))
| v2_membered(k3_tarski(X0)) ),
inference(cnf_transformation,[],[f9610]) ).
fof(f11729,plain,
! [X0,X1] :
( ~ v2_membered(X0)
| ~ v2_membered(X1)
| v1_xreal_0(sK240(X0,X1))
| r1_xboole_0(X0,X1) ),
inference(cnf_transformation,[],[f9613]) ).
fof(f11730,plain,
! [X0,X1] :
( ~ v2_membered(X0)
| ~ v2_membered(X1)
| r2_hidden(sK240(X0,X1),X1)
| r1_xboole_0(X0,X1) ),
inference(cnf_transformation,[],[f9613]) ).
fof(f11731,plain,
! [X0,X1] :
( ~ v2_membered(X0)
| ~ v2_membered(X1)
| r2_hidden(sK240(X0,X1),X0)
| r1_xboole_0(X0,X1) ),
inference(cnf_transformation,[],[f9613]) ).
fof(f11734,plain,
! [X0,X1] :
( ~ v2_membered(X0)
| ~ v2_membered(X1)
| v1_xreal_0(sK241(X0,X1))
| X0 = X1 ),
inference(cnf_transformation,[],[f9617]) ).
fof(f11735,plain,
! [X0,X1] :
( ~ v2_membered(X0)
| ~ v2_membered(X1)
| r2_hidden(sK241(X0,X1),X0)
| r2_hidden(sK241(X0,X1),X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f9617]) ).
fof(f11736,plain,
! [X0,X1] :
( ~ v2_membered(X0)
| ~ v2_membered(X1)
| ~ r2_hidden(sK241(X0,X1),X0)
| ~ r2_hidden(sK241(X0,X1),X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f9617]) ).
fof(f11738,plain,
! [X0,X1] :
( ~ v2_membered(X0)
| ~ v2_membered(X1)
| v1_xreal_0(sK242(X0,X1))
| r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f9620]) ).
fof(f11739,plain,
! [X0,X1] :
( ~ v2_membered(X0)
| ~ v2_membered(X1)
| r2_hidden(sK242(X0,X1),X0)
| r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f9620]) ).
fof(f11740,plain,
! [X0,X1] :
( ~ v2_membered(X0)
| ~ v2_membered(X1)
| ~ r2_hidden(sK242(X0,X1),X1)
| r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f9620]) ).
fof(f11741,plain,
! [X0,X1] :
( ~ v2_membered(X1)
| ~ r1_tarski(X0,X1)
| v2_membered(X0) ),
inference(cnf_transformation,[],[f7494]) ).
fof(f11742,plain,
! [X0] :
( ~ v2_membered(X0)
| v1_xreal_0(sK243(X0))
| k1_numbers = X0 ),
inference(cnf_transformation,[],[f9621]) ).
fof(f11743,plain,
! [X0] :
( ~ v2_membered(X0)
| ~ r2_hidden(sK243(X0),X0)
| k1_numbers = X0 ),
inference(cnf_transformation,[],[f9621]) ).
fof(f11744,plain,
! [X0] :
( ~ v2_membered(X0)
| v1_xboole_0(X0)
| r2_hidden(sK244(X0),X0) ),
inference(cnf_transformation,[],[f9622]) ).
fof(f11745,plain,
! [X0] :
( ~ v2_membered(X0)
| v1_xboole_0(X0)
| v1_xreal_0(sK244(X0)) ),
inference(cnf_transformation,[],[f9622]) ).
fof(f11746,plain,
! [X0] :
( ~ v2_membered(X0)
| r1_tarski(X0,k1_numbers) ),
inference(cnf_transformation,[],[f7499]) ).
fof(f11747,plain,
! [X2,X0] :
( ~ v2_membered(X0)
| ~ r2_hidden(X2,X0)
| v1_xreal_0(X2) ),
inference(cnf_transformation,[],[f9625]) ).
fof(f11748,plain,
! [X0] :
( r2_hidden(sK245(X0),X0)
| v2_membered(X0) ),
inference(cnf_transformation,[],[f9625]) ).
fof(f11749,plain,
! [X0] :
( ~ v1_xreal_0(sK245(X0))
| v2_membered(X0) ),
inference(cnf_transformation,[],[f9625]) ).
fof(f11750,plain,
! [X0,X1] :
( ~ v2_membered(X0)
| v2_membered(k4_xboole_0(X0,X1)) ),
inference(cnf_transformation,[],[f7501]) ).
fof(f11751,plain,
! [X0,X1] :
( ~ v2_membered(X0)
| v1_membered(k4_xboole_0(X0,X1)) ),
inference(cnf_transformation,[],[f7501]) ).
fof(f11752,plain,
! [X0,X1] :
( ~ v2_membered(X0)
| v2_membered(k3_xboole_0(X1,X0)) ),
inference(cnf_transformation,[],[f7502]) ).
fof(f11753,plain,
! [X0,X1] :
( ~ v2_membered(X0)
| v1_membered(k3_xboole_0(X1,X0)) ),
inference(cnf_transformation,[],[f7502]) ).
fof(f11756,plain,
! [X0,X1] :
( ~ v2_membered(X1)
| ~ v2_membered(X0)
| v2_membered(k2_xboole_0(X0,X1)) ),
inference(cnf_transformation,[],[f7505]) ).
fof(f11757,plain,
! [X0,X1] :
( ~ v2_membered(X1)
| ~ v2_membered(X0)
| v1_membered(k2_xboole_0(X0,X1)) ),
inference(cnf_transformation,[],[f7505]) ).
fof(f11759,plain,
! [X0,X1] :
( ~ v2_membered(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| v1_membered(X1) ),
inference(cnf_transformation,[],[f7506]) ).
fof(f11760,plain,
! [X0,X1] :
( ~ v1_xreal_0(X1)
| ~ v1_xreal_0(X0)
| v2_membered(k2_tarski(X0,X1)) ),
inference(cnf_transformation,[],[f7508]) ).
fof(f11761,plain,
! [X0,X1] :
( ~ v1_xreal_0(X1)
| ~ v1_xreal_0(X0)
| v1_membered(k2_tarski(X0,X1)) ),
inference(cnf_transformation,[],[f7508]) ).
fof(f11762,plain,
! [X0] :
( ~ v1_xreal_0(X0)
| v2_membered(k1_tarski(X0)) ),
inference(cnf_transformation,[],[f7509]) ).
fof(f11763,plain,
! [X0] :
( ~ v1_xreal_0(X0)
| v1_membered(k1_tarski(X0)) ),
inference(cnf_transformation,[],[f7509]) ).
fof(f11764,plain,
! [X0,X1] :
( ~ v2_membered(X0)
| ~ m1_subset_1(X1,X0)
| v1_xreal_0(X1) ),
inference(cnf_transformation,[],[f7510]) ).
fof(f11765,plain,
! [X0,X1] :
( ~ v2_membered(X0)
| ~ m1_subset_1(X1,X0)
| v1_xcmplx_0(X1) ),
inference(cnf_transformation,[],[f7510]) ).
fof(f11766,plain,
v2_membered(k1_numbers),
inference(cnf_transformation,[],[f3003]) ).
fof(f11767,plain,
v1_membered(k1_numbers),
inference(cnf_transformation,[],[f3003]) ).
fof(f11769,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(k1_numbers))
| v2_membered(X0) ),
inference(cnf_transformation,[],[f7511]) ).
fof(f11770,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(k1_numbers))
| v1_membered(X0) ),
inference(cnf_transformation,[],[f7511]) ).
fof(f11771,plain,
! [X0] :
( ~ v2_membered(X0)
| v1_membered(X0) ),
inference(cnf_transformation,[],[f7512]) ).
fof(f11772,plain,
! [X0] :
( r2_hidden(sK246(X0),X0)
| v1_membered(k3_tarski(X0)) ),
inference(cnf_transformation,[],[f9626]) ).
fof(f11773,plain,
! [X0] :
( ~ v1_membered(sK246(X0))
| v1_membered(k3_tarski(X0)) ),
inference(cnf_transformation,[],[f9626]) ).
fof(f11775,plain,
! [X0,X1] :
( ~ v1_membered(X0)
| ~ v1_membered(X1)
| v1_xcmplx_0(sK247(X0,X1))
| r1_xboole_0(X0,X1) ),
inference(cnf_transformation,[],[f9629]) ).
fof(f11776,plain,
! [X0,X1] :
( ~ v1_membered(X0)
| ~ v1_membered(X1)
| r2_hidden(sK247(X0,X1),X1)
| r1_xboole_0(X0,X1) ),
inference(cnf_transformation,[],[f9629]) ).
fof(f11777,plain,
! [X0,X1] :
( ~ v1_membered(X0)
| ~ v1_membered(X1)
| r2_hidden(sK247(X0,X1),X0)
| r1_xboole_0(X0,X1) ),
inference(cnf_transformation,[],[f9629]) ).
fof(f11780,plain,
! [X0,X1] :
( ~ v1_membered(X0)
| ~ v1_membered(X1)
| v1_xcmplx_0(sK248(X0,X1))
| X0 = X1 ),
inference(cnf_transformation,[],[f9633]) ).
fof(f11781,plain,
! [X0,X1] :
( ~ v1_membered(X0)
| ~ v1_membered(X1)
| r2_hidden(sK248(X0,X1),X0)
| r2_hidden(sK248(X0,X1),X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f9633]) ).
fof(f11782,plain,
! [X0,X1] :
( ~ v1_membered(X0)
| ~ v1_membered(X1)
| ~ r2_hidden(sK248(X0,X1),X0)
| ~ r2_hidden(sK248(X0,X1),X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f9633]) ).
fof(f11784,plain,
! [X0,X1] :
( ~ v1_membered(X0)
| ~ v1_membered(X1)
| v1_xcmplx_0(sK249(X0,X1))
| r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f9636]) ).
fof(f11785,plain,
! [X0,X1] :
( ~ v1_membered(X0)
| ~ v1_membered(X1)
| r2_hidden(sK249(X0,X1),X0)
| r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f9636]) ).
fof(f11786,plain,
! [X0,X1] :
( ~ v1_membered(X0)
| ~ v1_membered(X1)
| ~ r2_hidden(sK249(X0,X1),X1)
| r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f9636]) ).
fof(f11787,plain,
! [X0,X1] :
( ~ v1_membered(X1)
| ~ r1_tarski(X0,X1)
| v1_membered(X0) ),
inference(cnf_transformation,[],[f7520]) ).
fof(f11788,plain,
! [X0] :
( ~ v1_membered(X0)
| v1_xboole_0(X0)
| r2_hidden(sK250(X0),X0) ),
inference(cnf_transformation,[],[f9637]) ).
fof(f11789,plain,
! [X0] :
( ~ v1_membered(X0)
| v1_xboole_0(X0)
| v1_xcmplx_0(sK250(X0)) ),
inference(cnf_transformation,[],[f9637]) ).
fof(f11790,plain,
! [X2,X0] :
( ~ v1_membered(X0)
| ~ r2_hidden(X2,X0)
| v1_xcmplx_0(X2) ),
inference(cnf_transformation,[],[f9640]) ).
fof(f11791,plain,
! [X0] :
( r2_hidden(sK251(X0),X0)
| v1_membered(X0) ),
inference(cnf_transformation,[],[f9640]) ).
fof(f11792,plain,
! [X0] :
( ~ v1_xcmplx_0(sK251(X0))
| v1_membered(X0) ),
inference(cnf_transformation,[],[f9640]) ).
fof(f11793,plain,
! [X0,X1] :
( ~ v1_membered(X0)
| v1_membered(k4_xboole_0(X0,X1)) ),
inference(cnf_transformation,[],[f7524]) ).
fof(f11794,plain,
! [X0,X1] :
( ~ v1_membered(X0)
| v1_membered(k3_xboole_0(X1,X0)) ),
inference(cnf_transformation,[],[f7525]) ).
fof(f11796,plain,
! [X0,X1] :
( ~ v1_membered(X1)
| ~ v1_membered(X0)
| v1_membered(k2_xboole_0(X0,X1)) ),
inference(cnf_transformation,[],[f7528]) ).
fof(f11798,plain,
! [X0,X1] :
( ~ v1_xcmplx_0(X1)
| ~ v1_xcmplx_0(X0)
| v1_membered(k2_tarski(X0,X1)) ),
inference(cnf_transformation,[],[f7531]) ).
fof(f11799,plain,
! [X0] :
( ~ v1_xcmplx_0(X0)
| v1_membered(k1_tarski(X0)) ),
inference(cnf_transformation,[],[f7532]) ).
fof(f11800,plain,
! [X0,X1] :
( ~ v1_membered(X0)
| ~ m1_subset_1(X1,X0)
| v1_xcmplx_0(X1) ),
inference(cnf_transformation,[],[f7533]) ).
fof(f11801,plain,
! [X0,X1] :
( ~ l1_pre_topc(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| r1_tarski(k2_tops_1(X0,k6_pre_topc(X0,X1)),k2_tops_1(X0,X1)) ),
inference(cnf_transformation,[],[f7534]) ).
fof(f11802,plain,
! [X0,X1] :
( ~ l1_pre_topc(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| k6_pre_topc(X0,X1) = k4_subset_1(u1_struct_0(X0),X1,k2_tops_1(X0,X1)) ),
inference(cnf_transformation,[],[f7535]) ).
fof(f11803,plain,
! [X0,X1] :
( ~ l1_pre_topc(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| r1_tarski(k2_tops_1(X0,X1),k6_pre_topc(X0,X1)) ),
inference(cnf_transformation,[],[f7536]) ).
fof(f11804,plain,
! [X0,X1] :
( ~ l1_pre_topc(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| k2_tops_1(X0,X1) = k5_subset_1(u1_struct_0(X0),k6_pre_topc(X0,X1),k6_pre_topc(X0,k3_subset_1(u1_struct_0(X0),X1))) ),
inference(cnf_transformation,[],[f7537]) ).
fof(f11805,plain,
! [X2,X0,X1] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
| ~ v3_pre_topc(X1,X0)
| k6_pre_topc(X0,k5_subset_1(u1_struct_0(X0),X1,X2)) = k6_pre_topc(X0,k5_subset_1(u1_struct_0(X0),X1,k6_pre_topc(X0,X2))) ),
inference(cnf_transformation,[],[f7539]) ).
fof(f11806,plain,
! [X2,X0,X1] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
| ~ v3_pre_topc(X1,X0)
| r1_tarski(k5_subset_1(u1_struct_0(X0),X1,k6_pre_topc(X0,X2)),k6_pre_topc(X0,k5_subset_1(u1_struct_0(X0),X1,X2))) ),
inference(cnf_transformation,[],[f7541]) ).
fof(f11807,plain,
! [X0,X1] :
( ~ l1_pre_topc(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| k6_pre_topc(X0,X1) = k6_pre_topc(X0,k6_pre_topc(X0,X1)) ),
inference(cnf_transformation,[],[f7542]) ).
fof(f11808,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0)
| m1_subset_1(k6_pre_topc(X0,X1),k1_zfmisc_1(u1_struct_0(X0))) ),
inference(cnf_transformation,[],[f7544]) ).
fof(f11809,plain,
! [X2,X0,X1] :
( ~ l1_pre_topc(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
| r1_tarski(k6_pre_topc(X0,k5_subset_1(u1_struct_0(X0),X1,X2)),k5_subset_1(u1_struct_0(X0),k6_pre_topc(X0,X1),k6_pre_topc(X0,X2))) ),
inference(cnf_transformation,[],[f7545]) ).
fof(f11810,plain,
! [X2,X0,X1] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
| k6_pre_topc(X0,k4_subset_1(u1_struct_0(X0),X1,X2)) = k4_subset_1(u1_struct_0(X0),k6_pre_topc(X0,X1),k6_pre_topc(X0,X2)) ),
inference(cnf_transformation,[],[f7547]) ).
fof(f11811,plain,
! [X2,X0,X1] :
( ~ l1_pre_topc(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
| ~ r1_tarski(X1,X2)
| r1_tarski(k6_pre_topc(X0,X1),k6_pre_topc(X0,X2)) ),
inference(cnf_transformation,[],[f7549]) ).
fof(f11812,plain,
! [X0,X1] :
( ~ l1_pre_topc(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| r1_tarski(X1,k6_pre_topc(X0,X1)) ),
inference(cnf_transformation,[],[f7550]) ).
fof(f11813,plain,
! [X2,X0,X1] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
| k4_subset_1(u1_struct_0(X0),k2_tops_1(X0,X1),k2_tops_1(X0,X2)) = k4_subset_1(u1_struct_0(X0),k4_subset_1(u1_struct_0(X0),k2_tops_1(X0,k4_subset_1(u1_struct_0(X0),X1,X2)),k2_tops_1(X0,k5_subset_1(u1_struct_0(X0),X1,X2))),k5_subset_1(u1_struct_0(X0),k2_tops_1(X0,X1),k2_tops_1(X0,X2))) ),
inference(cnf_transformation,[],[f7552]) ).
fof(f11814,plain,
! [X2,X0,X1] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
| r1_tarski(k2_tops_1(X0,k4_subset_1(u1_struct_0(X0),X1,X2)),k4_subset_1(u1_struct_0(X0),k2_tops_1(X0,X1),k2_tops_1(X0,X2))) ),
inference(cnf_transformation,[],[f7554]) ).
fof(f11815,plain,
! [X2,X0,X1] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
| r1_tarski(k2_tops_1(X0,k5_subset_1(u1_struct_0(X0),X1,X2)),k4_subset_1(u1_struct_0(X0),k2_tops_1(X0,X1),k2_tops_1(X0,X2))) ),
inference(cnf_transformation,[],[f7556]) ).
fof(f11816,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| k2_xboole_0(X1,X2) = k4_subset_1(X0,X1,X2) ),
inference(cnf_transformation,[],[f7558]) ).
fof(f11817,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| k4_subset_1(X0,X1,X1) = X1 ),
inference(cnf_transformation,[],[f7560]) ).
fof(f11818,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| k4_subset_1(X0,X1,X2) = k4_subset_1(X0,X2,X1) ),
inference(cnf_transformation,[],[f7562]) ).
fof(f11819,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| m1_subset_1(k4_subset_1(X0,X1,X2),k1_zfmisc_1(X0)) ),
inference(cnf_transformation,[],[f7564]) ).
fof(f11820,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| k3_subset_1(X0,k5_subset_1(X0,X1,X2)) = k4_subset_1(X0,k3_subset_1(X0,X1),k3_subset_1(X0,X2)) ),
inference(cnf_transformation,[],[f7565]) ).
fof(f11821,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| k3_subset_1(X0,k4_subset_1(X0,X1,X2)) = k5_subset_1(X0,k3_subset_1(X0,X1),k3_subset_1(X0,X2)) ),
inference(cnf_transformation,[],[f7566]) ).
fof(f11822,plain,
! [X2,X3,X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ m1_subset_1(X3,k1_zfmisc_1(X0))
| m1_subset_1(sK252(X0,X1,X2,X3),X0)
| k4_subset_1(X0,X2,X3) = X1 ),
inference(cnf_transformation,[],[f9643]) ).
fof(f11823,plain,
! [X2,X3,X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ m1_subset_1(X3,k1_zfmisc_1(X0))
| r2_hidden(sK252(X0,X1,X2,X3),X1)
| r2_hidden(sK252(X0,X1,X2,X3),X3)
| r2_hidden(sK252(X0,X1,X2,X3),X2)
| k4_subset_1(X0,X2,X3) = X1 ),
inference(cnf_transformation,[],[f9643]) ).
fof(f11824,plain,
! [X2,X3,X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ m1_subset_1(X3,k1_zfmisc_1(X0))
| ~ r2_hidden(sK252(X0,X1,X2,X3),X1)
| ~ r2_hidden(sK252(X0,X1,X2,X3),X3)
| k4_subset_1(X0,X2,X3) = X1 ),
inference(cnf_transformation,[],[f9643]) ).
fof(f11825,plain,
! [X2,X3,X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ m1_subset_1(X3,k1_zfmisc_1(X0))
| ~ r2_hidden(sK252(X0,X1,X2,X3),X1)
| ~ r2_hidden(sK252(X0,X1,X2,X3),X2)
| k4_subset_1(X0,X2,X3) = X1 ),
inference(cnf_transformation,[],[f9643]) ).
fof(f11826,plain,
! [X0,X1] :
( ~ l1_pre_topc(X0)
| ~ m1_pre_topc(X1,X0)
| r1_tarski(u1_struct_0(X1),u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f7569]) ).
fof(f11827,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| m1_pre_topc(sK253(X0),X0) ),
inference(cnf_transformation,[],[f9644]) ).
fof(f11828,plain,
! [X0,X1] :
( ~ l1_pre_topc(X0)
| ~ m1_pre_topc(X1,X0)
| l1_pre_topc(X1) ),
inference(cnf_transformation,[],[f7571]) ).
fof(f11829,plain,
! [X2,X0,X1] :
( ~ l1_pre_topc(X0)
| ~ m1_pre_topc(X1,X0)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0))) ),
inference(cnf_transformation,[],[f7572]) ).
fof(f11830,plain,
! [X0,X1] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ m1_pre_topc(X1,X0)
| v2_pre_topc(X1) ),
inference(cnf_transformation,[],[f7574]) ).
fof(f11831,plain,
! [X2,X3,X0,X1] :
( ~ m1_eqrel_1(X1,X0)
| ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| ~ m1_subset_1(X3,k1_zfmisc_1(X1))
| k3_tarski(k5_subset_1(X1,X2,X3)) = k3_xboole_0(k3_tarski(X2),k3_tarski(X3)) ),
inference(cnf_transformation,[],[f7575]) ).
fof(f11832,plain,
! [X2,X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_filter_0(X1,X0)
| ~ m1_filter_0(X2,X0)
| m1_filter_0(k5_subset_1(u1_struct_0(X0),X1,X2),X0) ),
inference(cnf_transformation,[],[f7577]) ).
fof(f11833,plain,
! [X0,X1] :
( ~ l1_pre_topc(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| k2_tops_1(X0,X1) = k4_subset_1(u1_struct_0(X0),k5_subset_1(u1_struct_0(X0),k6_pre_topc(X0,k3_subset_1(u1_struct_0(X0),X1)),X1),k6_subset_1(u1_struct_0(X0),k6_pre_topc(X0,X1),X1)) ),
inference(cnf_transformation,[],[f7578]) ).
fof(f11834,plain,
! [X2,X0,X1] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
| ~ v3_pre_topc(X2,X0)
| ~ v3_pre_topc(X1,X0)
| v3_pre_topc(k5_subset_1(u1_struct_0(X0),X1,X2),X0) ),
inference(cnf_transformation,[],[f7580]) ).
fof(f11835,plain,
! [X0,X1] :
( ~ v4_ordinal2(X0)
| ~ v4_ordinal2(X1)
| k2_finseq_1(X0) != k5_subset_1(k5_numbers,k2_finseq_1(X0),k2_finseq_1(X1))
| r1_xreal_0(X0,X1) ),
inference(cnf_transformation,[],[f7582]) ).
fof(f11836,plain,
! [X0,X1] :
( ~ v4_ordinal2(X0)
| ~ v4_ordinal2(X1)
| ~ r1_xreal_0(X0,X1)
| k2_finseq_1(X0) = k5_subset_1(k5_numbers,k2_finseq_1(X1),k2_finseq_1(X0)) ),
inference(cnf_transformation,[],[f7584]) ).
fof(f11837,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| k3_xboole_0(X1,X2) = k5_subset_1(X0,X1,X2) ),
inference(cnf_transformation,[],[f7586]) ).
fof(f11838,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| k5_subset_1(X0,X1,X1) = X1 ),
inference(cnf_transformation,[],[f7588]) ).
fof(f11839,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| k5_subset_1(X0,X1,X2) = k5_subset_1(X0,X2,X1) ),
inference(cnf_transformation,[],[f7590]) ).
fof(f11840,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| m1_subset_1(k5_subset_1(X0,X1,X2),k1_zfmisc_1(X0)) ),
inference(cnf_transformation,[],[f7592]) ).
fof(f11841,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| r1_tarski(k3_subset_1(X0,X1),k3_subset_1(X0,k5_subset_1(X0,X1,X2))) ),
inference(cnf_transformation,[],[f7593]) ).
fof(f11842,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| k6_subset_1(X0,X1,X2) = k5_subset_1(X0,X1,k3_subset_1(X0,X2)) ),
inference(cnf_transformation,[],[f7594]) ).
fof(f11843,plain,
! [X2,X3,X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ m1_subset_1(X3,k1_zfmisc_1(X0))
| m1_subset_1(sK254(X0,X1,X2,X3),X0)
| k5_subset_1(X0,X2,X3) = X1 ),
inference(cnf_transformation,[],[f9647]) ).
fof(f11844,plain,
! [X2,X3,X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ m1_subset_1(X3,k1_zfmisc_1(X0))
| r2_hidden(sK254(X0,X1,X2,X3),X1)
| r2_hidden(sK254(X0,X1,X2,X3),X3)
| k5_subset_1(X0,X2,X3) = X1 ),
inference(cnf_transformation,[],[f9647]) ).
fof(f11845,plain,
! [X2,X3,X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ m1_subset_1(X3,k1_zfmisc_1(X0))
| r2_hidden(sK254(X0,X1,X2,X3),X1)
| r2_hidden(sK254(X0,X1,X2,X3),X2)
| k5_subset_1(X0,X2,X3) = X1 ),
inference(cnf_transformation,[],[f9647]) ).
fof(f11846,plain,
! [X2,X3,X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ m1_subset_1(X3,k1_zfmisc_1(X0))
| ~ r2_hidden(sK254(X0,X1,X2,X3),X1)
| ~ r2_hidden(sK254(X0,X1,X2,X3),X3)
| ~ r2_hidden(sK254(X0,X1,X2,X3),X2)
| k5_subset_1(X0,X2,X3) = X1 ),
inference(cnf_transformation,[],[f9647]) ).
fof(f11847,plain,
! [X0] :
( v1_xboole_0(X0)
| v1_finset_1(sK255(X0)) ),
inference(cnf_transformation,[],[f9648]) ).
fof(f11848,plain,
! [X0] :
( v1_xboole_0(X0)
| ~ v1_xboole_0(sK255(X0)) ),
inference(cnf_transformation,[],[f9648]) ).
fof(f11849,plain,
! [X0] :
( v1_xboole_0(X0)
| m1_subset_1(sK255(X0),k5_finsub_1(X0)) ),
inference(cnf_transformation,[],[f9648]) ).
fof(f11850,plain,
! [X0] :
( v1_xboole_0(X0)
| m1_subset_1(sK256(X0),k5_finsub_1(X0)) ),
inference(cnf_transformation,[],[f9649]) ).
fof(f11851,plain,
! [X0] :
( v1_xboole_0(X0)
| ~ v1_xboole_0(sK256(X0)) ),
inference(cnf_transformation,[],[f9649]) ).
fof(f11852,plain,
! [X0,X1] :
( v1_xboole_0(X0)
| ~ m1_subset_1(X1,k5_finsub_1(X0))
| m1_subset_1(sK257(X0,X1),X0)
| k1_xboole_0 = X1 ),
inference(cnf_transformation,[],[f9650]) ).
fof(f11853,plain,
! [X0,X1] :
( v1_xboole_0(X0)
| ~ m1_subset_1(X1,k5_finsub_1(X0))
| r2_hidden(sK257(X0,X1),X1)
| k1_xboole_0 = X1 ),
inference(cnf_transformation,[],[f9650]) ).
fof(f11854,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X1,k5_finsub_1(X0))
| ~ r1_tarski(X2,X1)
| m1_subset_1(X2,k5_finsub_1(X0)) ),
inference(cnf_transformation,[],[f7601]) ).
fof(f11855,plain,
! [X2,X0,X1] :
( v1_xboole_0(X0)
| ~ m1_subset_1(X1,k5_finsub_1(X0))
| ~ r2_hidden(X2,X1)
| m1_subset_1(X2,X0) ),
inference(cnf_transformation,[],[f7602]) ).
fof(f11856,plain,
! [X0] :
( v1_xboole_0(X0)
| v1_finset_1(sK258(X0)) ),
inference(cnf_transformation,[],[f9651]) ).
fof(f11857,plain,
! [X0] :
( v1_xboole_0(X0)
| ~ v1_xboole_0(sK258(X0)) ),
inference(cnf_transformation,[],[f9651]) ).
fof(f11858,plain,
! [X0] :
( v1_xboole_0(X0)
| m1_subset_1(sK258(X0),k5_finsub_1(X0)) ),
inference(cnf_transformation,[],[f9651]) ).
fof(f11859,plain,
! [X0] : v1_finset_1(sK259(X0)),
inference(cnf_transformation,[],[f9652]) ).
fof(f11860,plain,
! [X0] : v1_xboole_0(sK259(X0)),
inference(cnf_transformation,[],[f9652]) ).
fof(f11861,plain,
! [X0] : m1_subset_1(sK259(X0),k5_finsub_1(X0)),
inference(cnf_transformation,[],[f9652]) ).
fof(f11862,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ v1_finset_1(X0)
| m1_subset_1(X1,k5_finsub_1(X0)) ),
inference(cnf_transformation,[],[f7605]) ).
fof(f11863,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k5_finsub_1(X0))
| m1_subset_1(X1,k1_zfmisc_1(X0)) ),
inference(cnf_transformation,[],[f7606]) ).
fof(f11865,plain,
k1_tarski(k1_xboole_0) = k5_finsub_1(k1_xboole_0),
inference(cnf_transformation,[],[f2409]) ).
fof(f11866,plain,
! [X0] :
( ~ v1_finset_1(X0)
| k1_zfmisc_1(X0) = k5_finsub_1(X0) ),
inference(cnf_transformation,[],[f7608]) ).
fof(f11867,plain,
! [X0] : r1_tarski(k5_finsub_1(X0),k1_zfmisc_1(X0)),
inference(cnf_transformation,[],[f2407]) ).
fof(f11868,plain,
! [X0,X1] :
( ~ r1_tarski(X0,X1)
| r1_tarski(k5_finsub_1(X0),k5_finsub_1(X1)) ),
inference(cnf_transformation,[],[f7609]) ).
fof(f11869,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k5_finsub_1(X0))
| v1_finset_1(X1) ),
inference(cnf_transformation,[],[f7610]) ).
fof(f11870,plain,
~ v1_finset_1(k5_numbers),
inference(cnf_transformation,[],[f4125]) ).
fof(f11871,plain,
! [X0] :
( ~ v1_finset_1(X0)
| k1_card_1(X0) = k1_card_1(sK260(X0)) ),
inference(cnf_transformation,[],[f9655]) ).
fof(f11872,plain,
! [X0] :
( ~ v1_finset_1(X0)
| m2_subset_1(sK260(X0),k1_numbers,k5_numbers) ),
inference(cnf_transformation,[],[f9655]) ).
fof(f11873,plain,
! [X0,X1] :
( k1_card_1(X0) != k1_card_1(X1)
| ~ m2_subset_1(X1,k1_numbers,k5_numbers)
| v1_finset_1(X0) ),
inference(cnf_transformation,[],[f9655]) ).
fof(f11874,plain,
! [X0] :
( ~ v1_finset_1(X0)
| v1_finset_1(k1_card_1(X0)) ),
inference(cnf_transformation,[],[f9656]) ).
fof(f11875,plain,
! [X0] :
( ~ v1_finset_1(k1_card_1(X0))
| v1_finset_1(X0) ),
inference(cnf_transformation,[],[f9656]) ).
fof(f11877,plain,
! [X0] :
( ~ v1_finset_1(X0)
| ~ v1_relat_1(X0)
| v1_finset_1(k2_relat_1(X0)) ),
inference(cnf_transformation,[],[f7614]) ).
fof(f11878,plain,
v1_finset_1(sK261),
inference(cnf_transformation,[],[f9657]) ).
fof(f11879,plain,
v1_funct_1(sK261),
inference(cnf_transformation,[],[f9657]) ).
fof(f11880,plain,
v1_relat_1(sK261),
inference(cnf_transformation,[],[f9657]) ).
fof(f11881,plain,
~ v1_xboole_0(sK261),
inference(cnf_transformation,[],[f9657]) ).
fof(f11882,plain,
v1_finset_1(sK262),
inference(cnf_transformation,[],[f9658]) ).
fof(f11883,plain,
v2_funct_1(sK262),
inference(cnf_transformation,[],[f9658]) ).
fof(f11884,plain,
v1_funct_1(sK262),
inference(cnf_transformation,[],[f9658]) ).
fof(f11885,plain,
v1_relat_1(sK262),
inference(cnf_transformation,[],[f9658]) ).
fof(f11886,plain,
v1_xboole_0(sK262),
inference(cnf_transformation,[],[f9658]) ).
fof(f11888,plain,
! [X0] :
( ~ m2_subset_1(X0,k1_numbers,k5_numbers)
| v1_finset_1(X0) ),
inference(cnf_transformation,[],[f7615]) ).
fof(f11889,plain,
! [X0] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ~ v1_finset_1(k1_relat_1(X0))
| v1_finset_1(X0) ),
inference(cnf_transformation,[],[f9659]) ).
fof(f11890,plain,
! [X0] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ~ v1_finset_1(X0)
| v1_finset_1(k1_relat_1(X0)) ),
inference(cnf_transformation,[],[f9659]) ).
fof(f11891,plain,
! [X0] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ~ v1_finset_1(k1_relat_1(X0))
| v1_finset_1(k2_relat_1(X0)) ),
inference(cnf_transformation,[],[f7619]) ).
fof(f11892,plain,
! [X0] :
( ~ v1_finset_1(X0)
| v1_finset_1(k1_zfmisc_1(X0)) ),
inference(cnf_transformation,[],[f9660]) ).
fof(f11893,plain,
! [X0] :
( ~ v1_finset_1(k1_zfmisc_1(X0))
| v1_finset_1(X0) ),
inference(cnf_transformation,[],[f9660]) ).
fof(f11894,plain,
! [X0,X1] :
( ~ v1_finset_1(k2_zfmisc_1(X0,X1))
| v1_finset_1(X1)
| k1_xboole_0 = X0 ),
inference(cnf_transformation,[],[f7621]) ).
fof(f11895,plain,
! [X0,X1] :
( ~ v1_finset_1(k2_zfmisc_1(X1,X0))
| v1_finset_1(X1)
| k1_xboole_0 = X0 ),
inference(cnf_transformation,[],[f7623]) ).
fof(f11897,plain,
! [X3,X0,X1] :
( ~ v1_finset_1(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(X0)))
| ~ r1_tarski(sK263(X1),X3)
| ~ r2_hidden(X3,X1)
| sK263(X1) = X3
| k1_xboole_0 = X1 ),
inference(cnf_transformation,[],[f9661]) ).
fof(f11898,plain,
! [X0,X1] :
( ~ v1_finset_1(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(X0)))
| r2_hidden(sK263(X1),X1)
| k1_xboole_0 = X1 ),
inference(cnf_transformation,[],[f9661]) ).
fof(f11900,plain,
! [X0,X1] :
( ~ v1_finset_1(X1)
| ~ r1_tarski(X0,X1)
| v1_finset_1(X0) ),
inference(cnf_transformation,[],[f7630]) ).
fof(f11901,plain,
! [X0] :
( v1_xboole_0(X0)
| v1_finset_1(sK264(X0)) ),
inference(cnf_transformation,[],[f9662]) ).
fof(f11902,plain,
! [X0] :
( v1_xboole_0(X0)
| ~ v1_xboole_0(sK264(X0)) ),
inference(cnf_transformation,[],[f9662]) ).
fof(f11903,plain,
! [X0] :
( v1_xboole_0(X0)
| m1_subset_1(sK264(X0),k1_zfmisc_1(X0)) ),
inference(cnf_transformation,[],[f9662]) ).
fof(f11904,plain,
! [X0,X1] :
( ~ v1_finset_1(X1)
| ~ v1_finset_1(X0)
| v1_finset_1(k2_zfmisc_1(X0,X1)) ),
inference(cnf_transformation,[],[f7633]) ).
fof(f11905,plain,
! [X0,X1] :
( ~ v1_finset_1(X0)
| v1_finset_1(k4_xboole_0(X0,X1)) ),
inference(cnf_transformation,[],[f7634]) ).
fof(f11907,plain,
! [X0,X1] : v1_finset_1(k2_tarski(X0,X1)),
inference(cnf_transformation,[],[f2319]) ).
fof(f11909,plain,
! [X0] :
( v1_xboole_0(X0)
| v1_finset_1(sK265(X0)) ),
inference(cnf_transformation,[],[f9663]) ).
fof(f11910,plain,
! [X0] :
( v1_xboole_0(X0)
| ~ v1_xboole_0(sK265(X0)) ),
inference(cnf_transformation,[],[f9663]) ).
fof(f11911,plain,
! [X0] :
( v1_xboole_0(X0)
| m1_subset_1(sK265(X0),k1_zfmisc_1(X0)) ),
inference(cnf_transformation,[],[f9663]) ).
fof(f11914,plain,
! [X0] :
( ~ v1_xboole_0(X0)
| v1_finset_1(X0) ),
inference(cnf_transformation,[],[f7637]) ).
fof(f11915,plain,
v1_finset_1(sK266),
inference(cnf_transformation,[],[f9664]) ).
fof(f11916,plain,
~ v1_xboole_0(sK266),
inference(cnf_transformation,[],[f9664]) ).
fof(f11917,plain,
! [X3,X0,X1] :
( ~ m1_subset_1(X1,X0)
| ~ r2_hidden(X3,k2_zfmisc_1(k4_xboole_0(X0,k1_tarski(X1)),k4_xboole_0(X0,k1_tarski(X1))))
| r2_hidden(k1_funct_1(sK267(X0,X1),X3),k4_xboole_0(X0,k1_tarski(X1))) ),
inference(cnf_transformation,[],[f9665]) ).
fof(f11918,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,X0)
| m2_relset_1(sK267(X0,X1),k2_zfmisc_1(X0,X0),X0) ),
inference(cnf_transformation,[],[f9665]) ).
fof(f11919,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,X0)
| v1_funct_2(sK267(X0,X1),k2_zfmisc_1(X0,X0),X0) ),
inference(cnf_transformation,[],[f9665]) ).
fof(f11920,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,X0)
| v1_funct_1(sK267(X0,X1)) ),
inference(cnf_transformation,[],[f9665]) ).
fof(f11921,plain,
! [X1] :
( ~ m1_subset_1(X1,sK268)
| ~ v1_xboole_0(k4_xboole_0(sK268,k1_tarski(X1))) ),
inference(cnf_transformation,[],[f9666]) ).
fof(f11922,plain,
~ v1_xboole_0(sK268),
inference(cnf_transformation,[],[f9666]) ).
fof(f11923,plain,
! [X2,X0,X1] :
( ~ v1_relat_1(X0)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X2)
| r1_tarski(k4_xboole_0(k5_relat_1(X0,X1),k5_relat_1(X0,X2)),k5_relat_1(X0,k4_xboole_0(X1,X2))) ),
inference(cnf_transformation,[],[f7640]) ).
fof(f11924,plain,
! [X0,X1] :
( ~ v1_relat_1(X0)
| ~ v1_relat_1(X1)
| r1_tarski(k4_xboole_0(k1_relat_1(X0),k1_relat_1(X1)),k1_relat_1(k4_xboole_0(X0,X1))) ),
inference(cnf_transformation,[],[f7641]) ).
fof(f11925,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| v1_relat_1(k4_xboole_0(X1,X0)) ),
inference(cnf_transformation,[],[f7642]) ).
fof(f11927,plain,
! [X2,X0,X1] : k2_zfmisc_1(X2,k4_xboole_0(X0,X1)) = k4_xboole_0(k2_zfmisc_1(X2,X0),k2_zfmisc_1(X2,X1)),
inference(cnf_transformation,[],[f450]) ).
fof(f11928,plain,
! [X2,X0,X1] : k2_zfmisc_1(k4_xboole_0(X0,X1),X2) = k4_xboole_0(k2_zfmisc_1(X0,X2),k2_zfmisc_1(X1,X2)),
inference(cnf_transformation,[],[f450]) ).
fof(f11931,plain,
! [X0,X1] :
( ~ r2_hidden(X0,X1)
| k1_xboole_0 = k4_xboole_0(k1_tarski(X0),X1) ),
inference(cnf_transformation,[],[f9667]) ).
fof(f11934,plain,
! [X0,X1] :
( k1_tarski(X1) = X0
| k1_xboole_0 = X0
| k1_xboole_0 != k4_xboole_0(X0,k1_tarski(X1)) ),
inference(cnf_transformation,[],[f7645]) ).
fof(f11935,plain,
! [X0,X1] :
( k4_xboole_0(X0,k1_tarski(X1)) != X0
| ~ r2_hidden(X1,X0) ),
inference(cnf_transformation,[],[f9669]) ).
fof(f11936,plain,
! [X0,X1] :
( r2_hidden(X1,X0)
| k4_xboole_0(X0,k1_tarski(X1)) = X0 ),
inference(cnf_transformation,[],[f9669]) ).
fof(f11937,plain,
! [X2,X0,X1] :
( ~ r2_hidden(X0,k4_xboole_0(X1,k1_tarski(X2)))
| X0 != X2 ),
inference(cnf_transformation,[],[f9671]) ).
fof(f11939,plain,
! [X2,X0,X1] :
( X0 = X2
| ~ r2_hidden(X0,X1)
| r2_hidden(X0,k4_xboole_0(X1,k1_tarski(X2))) ),
inference(cnf_transformation,[],[f9671]) ).
fof(f11940,plain,
! [X2,X0,X1] :
( ~ r1_tarski(X0,X1)
| r1_tarski(X0,k4_xboole_0(X1,k1_tarski(X2)))
| r2_hidden(X2,X0) ),
inference(cnf_transformation,[],[f7647]) ).
fof(f11941,plain,
! [X0,X1] :
( k1_xboole_0 != k4_xboole_0(k1_tarski(X0),k1_tarski(X1))
| X0 = X1 ),
inference(cnf_transformation,[],[f7648]) ).
fof(f11942,plain,
! [X0,X1] :
( k1_tarski(X0) != k4_xboole_0(k1_tarski(X0),k1_tarski(X1))
| X0 != X1 ),
inference(cnf_transformation,[],[f9672]) ).
fof(f11943,plain,
! [X0,X1] :
( X0 = X1
| k1_tarski(X0) = k4_xboole_0(k1_tarski(X0),k1_tarski(X1)) ),
inference(cnf_transformation,[],[f9672]) ).
fof(f11944,plain,
! [X2,X0,X1] :
( ~ r1_tarski(X0,X1)
| r1_tarski(k4_xboole_0(X0,X2),X1) ),
inference(cnf_transformation,[],[f7649]) ).
fof(f11945,plain,
! [X0,X1] :
( ~ r1_tarski(X0,k4_xboole_0(X1,X0))
| k1_xboole_0 = X0 ),
inference(cnf_transformation,[],[f7650]) ).
fof(f11946,plain,
! [X0,X1] :
( k1_xboole_0 != k4_xboole_0(X0,X1)
| r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f9673]) ).
fof(f11947,plain,
! [X0,X1] :
( ~ r1_tarski(X0,X1)
| k1_xboole_0 = k4_xboole_0(X0,X1) ),
inference(cnf_transformation,[],[f9673]) ).
fof(f11948,plain,
! [X0,X1] : r1_tarski(k4_xboole_0(X0,X1),X0),
inference(cnf_transformation,[],[f105]) ).
fof(f11949,plain,
! [X2,X3,X0,X1] :
( ~ r1_tarski(X2,X3)
| ~ r1_tarski(X0,X1)
| r1_tarski(k4_xboole_0(X0,X3),k4_xboole_0(X1,X2)) ),
inference(cnf_transformation,[],[f7652]) ).
fof(f11950,plain,
! [X2,X0,X1] :
( ~ r1_tarski(X0,X1)
| r1_tarski(k4_xboole_0(X2,X1),k4_xboole_0(X2,X0)) ),
inference(cnf_transformation,[],[f7653]) ).
fof(f11951,plain,
! [X2,X0,X1] :
( ~ r1_tarski(X0,X1)
| r1_tarski(k4_xboole_0(X0,X2),k4_xboole_0(X1,X2)) ),
inference(cnf_transformation,[],[f7654]) ).
fof(f11952,plain,
! [X0,X1] :
( k4_xboole_0(X0,X1) != k4_xboole_0(X1,X0)
| X0 = X1 ),
inference(cnf_transformation,[],[f7655]) ).
fof(f11953,plain,
! [X0] : k1_xboole_0 = k4_xboole_0(k1_xboole_0,X0),
inference(cnf_transformation,[],[f65]) ).
fof(f11954,plain,
! [X0] : k4_xboole_0(X0,k1_xboole_0) = X0,
inference(cnf_transformation,[],[f64]) ).
fof(f11955,plain,
! [X2,X0,X1,X4] :
( k4_xboole_0(X0,X1) != X2
| ~ r2_hidden(X4,X2)
| ~ r2_hidden(X4,X1) ),
inference(cnf_transformation,[],[f9677]) ).
fof(f11956,plain,
! [X2,X0,X1,X4] :
( k4_xboole_0(X0,X1) != X2
| ~ r2_hidden(X4,X2)
| r2_hidden(X4,X0) ),
inference(cnf_transformation,[],[f9677]) ).
fof(f11957,plain,
! [X2,X0,X1,X4] :
( k4_xboole_0(X0,X1) != X2
| r2_hidden(X4,X1)
| ~ r2_hidden(X4,X0)
| r2_hidden(X4,X2) ),
inference(cnf_transformation,[],[f9677]) ).
fof(f11958,plain,
! [X2,X0,X1] :
( r2_hidden(sK269(X0,X1,X2),X2)
| ~ r2_hidden(sK269(X0,X1,X2),X1)
| k4_xboole_0(X0,X1) = X2 ),
inference(cnf_transformation,[],[f9677]) ).
fof(f11959,plain,
! [X2,X0,X1] :
( r2_hidden(sK269(X0,X1,X2),X2)
| r2_hidden(sK269(X0,X1,X2),X0)
| k4_xboole_0(X0,X1) = X2 ),
inference(cnf_transformation,[],[f9677]) ).
fof(f11960,plain,
! [X2,X0,X1] :
( ~ r2_hidden(sK269(X0,X1,X2),X2)
| r2_hidden(sK269(X0,X1,X2),X1)
| ~ r2_hidden(sK269(X0,X1,X2),X0)
| k4_xboole_0(X0,X1) = X2 ),
inference(cnf_transformation,[],[f9677]) ).
fof(f11961,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ l3_lattices(X0)
| ~ v16_lattices(X0)
| ~ v15_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X1)
| ~ v3_filter_0(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ~ m1_lattice4(X2,X1,X0)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X4,u1_struct_0(X1))
| ~ m1_subset_1(X5,u1_struct_0(X1))
| ~ r3_lattices(X0,k4_lattices(X0,k8_funct_2(u1_struct_0(X1),u1_struct_0(X0),X2,X3),k8_funct_2(u1_struct_0(X1),u1_struct_0(X0),X2,X4)),k8_funct_2(u1_struct_0(X1),u1_struct_0(X0),X2,X5))
| ~ v1_lattice4(X2,X1,X0)
| r3_lattices(X0,k8_funct_2(u1_struct_0(X1),u1_struct_0(X0),X2,X4),k8_funct_2(u1_struct_0(X1),u1_struct_0(X0),X2,k4_filter_0(X1,X3,X5))) ),
inference(cnf_transformation,[],[f7657]) ).
fof(f11963,plain,
! [X2,X3,X0,X1,X4] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X3,u1_struct_0(X0))
| ~ m1_lattice4(X4,X0,X1)
| ~ v1_lattice4(X4,X0,X1)
| ~ r3_lattices(X1,k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X4,X2),k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X4,X3))
| r3_lattices(X0,X2,X3) ),
inference(cnf_transformation,[],[f9678]) ).
fof(f11964,plain,
! [X2,X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X2)
| ~ v1_lattice4(X2,X0,X1)
| v2_funct_1(X2) ),
inference(cnf_transformation,[],[f9679]) ).
fof(f11965,plain,
! [X2,X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X2)
| ~ v2_funct_1(X2)
| v1_lattice4(X2,X0,X1) ),
inference(cnf_transformation,[],[f9679]) ).
fof(f11966,plain,
! [X2,X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X1)
| ~ v11_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ~ m1_lattice4(X2,X1,X0)
| ~ v2_lattice4(X2,X1,X0)
| v11_lattices(X0) ),
inference(cnf_transformation,[],[f7663]) ).
fof(f11967,plain,
! [X2,X3,X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X2)
| ~ v2_lattice4(X2,X0,X1)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,sK270(X0,X1,X2,X3)) = X3 ),
inference(cnf_transformation,[],[f9680]) ).
fof(f11968,plain,
! [X2,X3,X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X2)
| ~ v2_lattice4(X2,X0,X1)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| m1_subset_1(sK270(X0,X1,X2,X3),u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f9680]) ).
fof(f11969,plain,
! [X2,X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X2)
| ~ v2_lattice4(X2,X0,X1)
| k2_relat_1(X2) = u1_struct_0(X1) ),
inference(cnf_transformation,[],[f9681]) ).
fof(f11970,plain,
! [X2,X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X2)
| k2_relat_1(X2) != u1_struct_0(X1)
| v2_lattice4(X2,X0,X1) ),
inference(cnf_transformation,[],[f9681]) ).
fof(f11971,plain,
! [X2,X0,X1] :
( ~ l3_lattices(X0)
| v3_realset2(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| k1_funct_1(k8_lopclset(X0),k3_lattices(X0,X1,X2)) = k2_xboole_0(k1_funct_1(k8_lopclset(X0),X1),k1_funct_1(k8_lopclset(X0),X2)) ),
inference(cnf_transformation,[],[f7669]) ).
fof(f11972,plain,
! [X2,X0,X1] :
( ~ l3_lattices(X0)
| v3_realset2(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| k1_funct_1(k8_lopclset(X0),k4_lattices(X0,X1,X2)) = k3_xboole_0(k1_funct_1(k8_lopclset(X0),X1),k1_funct_1(k8_lopclset(X0),X2)) ),
inference(cnf_transformation,[],[f7671]) ).
fof(f11973,plain,
! [X2,X0,X1] :
( ~ l3_lattices(X0)
| v3_realset2(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_filter_0(X2,X0)
| ~ r2_hidden(X2,k1_funct_1(k8_lopclset(X0),X1))
| r2_hidden(X1,X2) ),
inference(cnf_transformation,[],[f9683]) ).
fof(f11974,plain,
! [X2,X0,X1] :
( ~ l3_lattices(X0)
| v3_realset2(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_filter_0(X2,X0)
| ~ r2_hidden(X2,k1_funct_1(k8_lopclset(X0),X1))
| v1_filter_0(X2,X0) ),
inference(cnf_transformation,[],[f9683]) ).
fof(f11976,plain,
! [X2,X0,X1] :
( ~ l3_lattices(X1)
| v3_realset2(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ r2_hidden(X0,k1_funct_1(k8_lopclset(X1),X2))
| r2_hidden(X2,sK271(X0,X1,X2)) ),
inference(cnf_transformation,[],[f9686]) ).
fof(f11977,plain,
! [X2,X0,X1] :
( ~ l3_lattices(X1)
| v3_realset2(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ r2_hidden(X0,k1_funct_1(k8_lopclset(X1),X2))
| v1_filter_0(sK271(X0,X1,X2),X1) ),
inference(cnf_transformation,[],[f9686]) ).
fof(f11978,plain,
! [X2,X0,X1] :
( ~ l3_lattices(X1)
| v3_realset2(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ r2_hidden(X0,k1_funct_1(k8_lopclset(X1),X2))
| sK271(X0,X1,X2) = X0 ),
inference(cnf_transformation,[],[f9686]) ).
fof(f11979,plain,
! [X2,X0,X1] :
( ~ l3_lattices(X1)
| v3_realset2(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ r2_hidden(X0,k1_funct_1(k8_lopclset(X1),X2))
| m1_filter_0(sK271(X0,X1,X2),X1) ),
inference(cnf_transformation,[],[f9686]) ).
fof(f11980,plain,
! [X2,X3,X0,X1] :
( ~ l3_lattices(X1)
| v3_realset2(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ r2_hidden(X2,X3)
| ~ v1_filter_0(X3,X1)
| X0 != X3
| ~ m1_filter_0(X3,X1)
| r2_hidden(X0,k1_funct_1(k8_lopclset(X1),X2)) ),
inference(cnf_transformation,[],[f9686]) ).
fof(f11981,plain,
! [X0] :
( ~ l3_lattices(X0)
| v3_realset2(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| k8_lopclset(X0) = k9_lopclset(X0) ),
inference(cnf_transformation,[],[f7677]) ).
fof(f11982,plain,
! [X0] :
( ~ l3_lattices(X0)
| v3_realset2(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| v1_funct_1(k8_lopclset(X0)) ),
inference(cnf_transformation,[],[f7679]) ).
fof(f11983,plain,
! [X0] :
( ~ l3_lattices(X0)
| v3_realset2(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| v1_relat_1(k8_lopclset(X0)) ),
inference(cnf_transformation,[],[f7679]) ).
fof(f11984,plain,
! [X0,X1] :
( ~ l3_lattices(X1)
| v3_realset2(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| m1_subset_1(sK272(X0,X1),k5_finsub_1(X0))
| ~ m1_subset_1(X0,k1_zfmisc_1(k10_lopclset(X1)))
| k3_tarski(X0) != k7_lopclset(X1) ),
inference(cnf_transformation,[],[f9687]) ).
fof(f11985,plain,
! [X0,X1] :
( ~ l3_lattices(X1)
| v3_realset2(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| k7_lopclset(X1) = k3_tarski(sK272(X0,X1))
| ~ m1_subset_1(X0,k1_zfmisc_1(k10_lopclset(X1)))
| k3_tarski(X0) != k7_lopclset(X1) ),
inference(cnf_transformation,[],[f9687]) ).
fof(f11986,plain,
! [X0] :
( ~ l3_lattices(X0)
| v3_realset2(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| k7_lopclset(X0) = k3_tarski(k10_lopclset(X0)) ),
inference(cnf_transformation,[],[f7683]) ).
fof(f11987,plain,
! [X0,X1] :
( ~ l3_lattices(X1)
| v3_realset2(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ~ r2_hidden(X0,k10_lopclset(X1))
| k8_funct_2(u1_struct_0(X1),k1_zfmisc_1(k7_lopclset(X1)),k9_lopclset(X1),sK273(X0,X1)) = X0 ),
inference(cnf_transformation,[],[f9690]) ).
fof(f11988,plain,
! [X0,X1] :
( ~ l3_lattices(X1)
| v3_realset2(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ~ r2_hidden(X0,k10_lopclset(X1))
| m1_subset_1(sK273(X0,X1),u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f9690]) ).
fof(f11989,plain,
! [X2,X0,X1] :
( ~ l3_lattices(X1)
| v3_realset2(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| k8_funct_2(u1_struct_0(X1),k1_zfmisc_1(k7_lopclset(X1)),k9_lopclset(X1),X2) != X0
| ~ m1_subset_1(X2,u1_struct_0(X1))
| r2_hidden(X0,k10_lopclset(X1)) ),
inference(cnf_transformation,[],[f9690]) ).
fof(f11990,plain,
! [X0] :
( ~ l3_lattices(X0)
| v3_realset2(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| r1_tarski(k10_lopclset(X0),k1_zfmisc_1(k7_lopclset(X0))) ),
inference(cnf_transformation,[],[f7687]) ).
fof(f11991,plain,
! [X0] :
( ~ l3_lattices(X0)
| v3_realset2(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ v1_xboole_0(k10_lopclset(X0)) ),
inference(cnf_transformation,[],[f7689]) ).
fof(f11992,plain,
! [X0] :
( ~ l3_lattices(X0)
| v3_realset2(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| k10_lopclset(X0) = k2_relat_1(k9_lopclset(X0)) ),
inference(cnf_transformation,[],[f7691]) ).
fof(f11993,plain,
! [X0,X1] :
( ~ m1_eqrel_1(X1,u1_struct_0(X0))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| l1_pre_topc(k16_borsuk_1(X0,X1)) ),
inference(cnf_transformation,[],[f7693]) ).
fof(f11994,plain,
! [X0,X1] :
( ~ m1_eqrel_1(X1,u1_struct_0(X0))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v2_pre_topc(k16_borsuk_1(X0,X1)) ),
inference(cnf_transformation,[],[f7693]) ).
fof(f11995,plain,
! [X0,X1] :
( ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| l1_pre_topc(k6_borsuk_1(X0,X1)) ),
inference(cnf_transformation,[],[f7695]) ).
fof(f11996,plain,
! [X0,X1] :
( ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v2_pre_topc(k6_borsuk_1(X0,X1)) ),
inference(cnf_transformation,[],[f7695]) ).
fof(f11998,plain,
! [X0,X1] :
( ~ m1_eqrel_1(X1,u1_struct_0(X0))
| v1_xboole_0(X1)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| ~ v3_struct_0(k16_borsuk_1(X0,X1)) ),
inference(cnf_transformation,[],[f7697]) ).
fof(f12000,plain,
! [X0,X1] :
( ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1)
| v3_struct_0(X1)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| ~ v3_struct_0(k6_borsuk_1(X0,X1)) ),
inference(cnf_transformation,[],[f7699]) ).
fof(f12001,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v2_pre_topc(sK274(X0)) ),
inference(cnf_transformation,[],[f9691]) ).
fof(f12002,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| m1_pre_topc(sK274(X0),X0) ),
inference(cnf_transformation,[],[f9691]) ).
fof(f12003,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| v3_struct_0(X0)
| ~ v3_struct_0(sK275(X0)) ),
inference(cnf_transformation,[],[f9692]) ).
fof(f12004,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| v3_struct_0(X0)
| m1_pre_topc(sK275(X0),X0) ),
inference(cnf_transformation,[],[f9692]) ).
fof(f12005,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| m1_pre_topc(sK276(X0),X0) ),
inference(cnf_transformation,[],[f9693]) ).
fof(f12006,plain,
v2_pre_topc(sK277),
inference(cnf_transformation,[],[f9694]) ).
fof(f12007,plain,
~ v3_struct_0(sK277),
inference(cnf_transformation,[],[f9694]) ).
fof(f12008,plain,
l1_pre_topc(sK277),
inference(cnf_transformation,[],[f9694]) ).
fof(f12009,plain,
l1_pre_topc(sK278),
inference(cnf_transformation,[],[f9695]) ).
fof(f12010,plain,
! [X2,X3,X0,X1] :
( ~ m1_subset_1(X3,X0)
| ~ m1_relset_1(X2,X0,X1)
| ~ v1_funct_2(X2,X0,X1)
| ~ v1_funct_1(X2)
| v1_xboole_0(X0)
| k1_funct_1(X2,X3) = k8_funct_2(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f7706]) ).
fof(f12011,plain,
! [X2,X3,X0,X1] :
( ~ m1_subset_1(X3,X0)
| ~ m1_relset_1(X2,X0,X1)
| ~ v1_funct_2(X2,X0,X1)
| ~ v1_funct_1(X2)
| v1_xboole_0(X0)
| m1_subset_1(k8_funct_2(X0,X1,X2,X3),X1) ),
inference(cnf_transformation,[],[f7708]) ).
fof(f12012,plain,
! [X2,X3,X0,X1] :
( ~ l3_lattices(X0)
| ~ v3_filter_0(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X3,u1_struct_0(X0))
| r3_lattices(X0,k4_lattices(X0,k4_filter_0(X0,X1,X2),k4_filter_0(X0,X1,X3)),k4_filter_0(X0,X1,k4_lattices(X0,X2,X3))) ),
inference(cnf_transformation,[],[f7710]) ).
fof(f12013,plain,
! [X2,X3,X0,X1] :
( ~ l3_lattices(X0)
| ~ v3_filter_0(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X3,u1_struct_0(X0))
| r3_lattices(X0,k4_lattices(X0,k4_filter_0(X0,X1,X2),k4_filter_0(X0,X3,X2)),k4_filter_0(X0,k3_lattices(X0,X1,X3),X2)) ),
inference(cnf_transformation,[],[f7712]) ).
fof(f12014,plain,
! [X2,X3,X0,X1] :
( ~ l3_lattices(X0)
| ~ v3_filter_0(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X3,u1_struct_0(X0))
| r3_lattices(X0,k4_filter_0(X0,X1,X2),k4_filter_0(X0,k4_lattices(X0,X3,X1),X2)) ),
inference(cnf_transformation,[],[f7714]) ).
fof(f12015,plain,
! [X2,X3,X0,X1] :
( ~ l3_lattices(X0)
| ~ v3_filter_0(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X3,u1_struct_0(X0))
| r3_lattices(X0,k4_filter_0(X0,X1,X2),k4_filter_0(X0,X1,k3_lattices(X0,X3,X2))) ),
inference(cnf_transformation,[],[f7714]) ).
fof(f12016,plain,
! [X2,X3,X0,X1] :
( ~ l3_lattices(X0)
| ~ v3_filter_0(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X3,u1_struct_0(X0))
| r3_lattices(X0,k4_filter_0(X0,X1,X2),k4_filter_0(X0,k4_lattices(X0,X1,X3),X2)) ),
inference(cnf_transformation,[],[f7714]) ).
fof(f12017,plain,
! [X2,X3,X0,X1] :
( ~ l3_lattices(X0)
| ~ v3_filter_0(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X3,u1_struct_0(X0))
| r3_lattices(X0,k4_filter_0(X0,X1,X2),k4_filter_0(X0,X1,k3_lattices(X0,X2,X3))) ),
inference(cnf_transformation,[],[f7714]) ).
fof(f12018,plain,
! [X2,X0,X1] :
( ~ l3_lattices(X0)
| ~ v3_filter_0(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| k4_filter_0(X0,X1,X2) = k4_filter_0(X0,X1,k4_lattices(X0,X1,X2)) ),
inference(cnf_transformation,[],[f7716]) ).
fof(f12019,plain,
! [X2,X0,X1] :
( ~ l3_lattices(X0)
| ~ v3_filter_0(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| k4_filter_0(X0,X2,X1) = k4_filter_0(X0,k3_lattices(X0,X1,X2),X1) ),
inference(cnf_transformation,[],[f7716]) ).
fof(f12020,plain,
! [X2,X3,X0,X1] :
( ~ l3_lattices(X0)
| ~ v3_filter_0(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X3,u1_struct_0(X0))
| k4_filter_0(X0,k4_lattices(X0,X1,X2),X3) = k4_filter_0(X0,X1,k4_filter_0(X0,X2,X3)) ),
inference(cnf_transformation,[],[f7718]) ).
fof(f12021,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| m1_subset_1(k4_filter_0(X0,X1,X2),u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f7720]) ).
fof(f12022,plain,
! [X2,X0,X1] :
( ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| k3_lattices(X0,k7_lattices(X0,X1),X2) = k4_filter_0(X0,X1,X2) ),
inference(cnf_transformation,[],[f7722]) ).
fof(f12023,plain,
! [X2,X3,X0,X1,X4] :
( ~ l3_lattices(X0)
| ~ v3_filter_0(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X3,u1_struct_0(X0))
| ~ m1_filter_0(X4,X0)
| ~ r2_hidden(k4_filter_0(X0,X2,X3),X4)
| ~ r2_hidden(k4_filter_0(X0,X1,X2),X4)
| r2_hidden(k4_filter_0(X0,X1,X3),X4) ),
inference(cnf_transformation,[],[f7724]) ).
fof(f12024,plain,
! [X2,X3,X0,X1] :
( ~ l3_lattices(X0)
| ~ v3_filter_0(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_filter_0(X3,X0)
| ~ r2_hidden(X1,X3)
| r2_hidden(k4_filter_0(X0,X2,X1),X3) ),
inference(cnf_transformation,[],[f7726]) ).
fof(f12025,plain,
! [X2,X3,X0,X1] :
( ~ l3_lattices(X0)
| ~ v3_filter_0(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_filter_0(X3,X0)
| ~ r2_hidden(k4_filter_0(X0,X1,X2),X3)
| ~ r2_hidden(X1,X3)
| r2_hidden(X2,X3) ),
inference(cnf_transformation,[],[f7728]) ).
fof(f12031,plain,
! [X2,X0,X1] :
( ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| v3_struct_0(X1)
| ~ m2_relset_1(X2,u1_struct_0(X1),u1_struct_0(X0))
| ~ v1_group_6(X2,X1,X0)
| ~ v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X0))
| ~ v1_funct_1(X2)
| ~ v6_group_1(X1)
| v6_group_1(k13_group_6(X1,X0,X2)) ),
inference(cnf_transformation,[],[f7732]) ).
fof(f12041,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| ~ v6_group_1(X0)
| v3_struct_0(X0)
| sP18(X0) ),
inference(cnf_transformation,[],[f9240]) ).
fof(f12051,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| ~ v6_group_1(X0)
| v3_struct_0(X0)
| sP19(X0) ),
inference(cnf_transformation,[],[f9242]) ).
fof(f12052,plain,
! [X0] :
( ~ l1_struct_0(X0)
| ~ v6_group_1(X0)
| v1_finset_1(u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f9702]) ).
fof(f12053,plain,
! [X0] :
( ~ l1_struct_0(X0)
| ~ v1_finset_1(u1_struct_0(X0))
| v6_group_1(X0) ),
inference(cnf_transformation,[],[f9702]) ).
fof(f12056,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l3_lattices(X0)
| v3_struct_0(X0)
| m1_subset_1(k7_lattices(X0,X1),u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f7741]) ).
fof(f12057,plain,
! [X2,X0,X1] :
( ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ r3_lattices(X0,X1,X2)
| r3_lattices(X0,k7_lattices(X0,X2),k7_lattices(X0,X1)) ),
inference(cnf_transformation,[],[f7743]) ).
fof(f12058,plain,
! [X2,X0,X1] :
( ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| k7_lattices(X0,k3_lattices(X0,X1,X2)) = k4_lattices(X0,k7_lattices(X0,X1),k7_lattices(X0,X2)) ),
inference(cnf_transformation,[],[f7745]) ).
fof(f12059,plain,
! [X2,X0,X1] :
( ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| k7_lattices(X0,k4_lattices(X0,X1,X2)) = k3_lattices(X0,k7_lattices(X0,X1),k7_lattices(X0,X2)) ),
inference(cnf_transformation,[],[f7747]) ).
fof(f12060,plain,
! [X0,X1] :
( ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| k7_lattices(X0,k7_lattices(X0,X1)) = X1 ),
inference(cnf_transformation,[],[f7749]) ).
fof(f12061,plain,
! [X0] :
( ~ l1_group_1(X0)
| ~ v2_group_1(X0)
| v3_struct_0(X0)
| k2_group_1(X0) = k3_binop_1(u1_struct_0(X0),u1_group_1(X0)) ),
inference(cnf_transformation,[],[f7751]) ).
fof(f12062,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( v1_xboole_0(X0)
| v1_xboole_0(X1)
| ~ m2_relset_1(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X2)
| ~ v1_setwiseo(X2,X1)
| ~ v3_binop_1(X2,X1)
| ~ v2_binop_1(X2,X1)
| ~ v1_binop_1(X2,X1)
| v1_xboole_0(X3)
| ~ m2_relset_1(X4,k2_zfmisc_1(X3,X3),X3)
| ~ v1_funct_2(X4,k2_zfmisc_1(X3,X3),X3)
| ~ v1_funct_1(X4)
| ~ v1_setwiseo(X4,X3)
| ~ v3_binop_1(X4,X3)
| ~ v2_binop_1(X4,X3)
| ~ v1_binop_1(X4,X3)
| ~ m2_relset_1(X5,X0,X1)
| ~ v1_funct_2(X5,X0,X1)
| ~ v1_funct_1(X5)
| ~ m2_relset_1(X6,X1,X3)
| ~ v1_funct_2(X6,X1,X3)
| ~ v1_funct_1(X6)
| m1_subset_1(sK280(X1,X2,X3,X4,X6),X1)
| k8_funct_2(X1,X3,X6,k3_binop_1(X1,X2)) != k3_binop_1(X3,X4)
| ~ m1_subset_1(X7,k5_finsub_1(X0))
| k8_funct_2(X1,X3,X6,k7_setwiseo(X0,X1,X2,X7,X5)) = k7_setwiseo(X0,X3,X4,X7,k7_funct_2(X0,X1,X3,X5,X6)) ),
inference(cnf_transformation,[],[f9704]) ).
fof(f12063,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( v1_xboole_0(X0)
| v1_xboole_0(X1)
| ~ m2_relset_1(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X2)
| ~ v1_setwiseo(X2,X1)
| ~ v3_binop_1(X2,X1)
| ~ v2_binop_1(X2,X1)
| ~ v1_binop_1(X2,X1)
| v1_xboole_0(X3)
| ~ m2_relset_1(X4,k2_zfmisc_1(X3,X3),X3)
| ~ v1_funct_2(X4,k2_zfmisc_1(X3,X3),X3)
| ~ v1_funct_1(X4)
| ~ v1_setwiseo(X4,X3)
| ~ v3_binop_1(X4,X3)
| ~ v2_binop_1(X4,X3)
| ~ v1_binop_1(X4,X3)
| ~ m2_relset_1(X5,X0,X1)
| ~ v1_funct_2(X5,X0,X1)
| ~ v1_funct_1(X5)
| ~ m2_relset_1(X6,X1,X3)
| ~ v1_funct_2(X6,X1,X3)
| ~ v1_funct_1(X6)
| m1_subset_1(sK281(X1,X2,X3,X4,X6),X1)
| k8_funct_2(X1,X3,X6,k3_binop_1(X1,X2)) != k3_binop_1(X3,X4)
| ~ m1_subset_1(X7,k5_finsub_1(X0))
| k8_funct_2(X1,X3,X6,k7_setwiseo(X0,X1,X2,X7,X5)) = k7_setwiseo(X0,X3,X4,X7,k7_funct_2(X0,X1,X3,X5,X6)) ),
inference(cnf_transformation,[],[f9704]) ).
fof(f12064,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( v1_xboole_0(X0)
| v1_xboole_0(X1)
| ~ m2_relset_1(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X2)
| ~ v1_setwiseo(X2,X1)
| ~ v3_binop_1(X2,X1)
| ~ v2_binop_1(X2,X1)
| ~ v1_binop_1(X2,X1)
| v1_xboole_0(X3)
| ~ m2_relset_1(X4,k2_zfmisc_1(X3,X3),X3)
| ~ v1_funct_2(X4,k2_zfmisc_1(X3,X3),X3)
| ~ v1_funct_1(X4)
| ~ v1_setwiseo(X4,X3)
| ~ v3_binop_1(X4,X3)
| ~ v2_binop_1(X4,X3)
| ~ v1_binop_1(X4,X3)
| ~ m2_relset_1(X5,X0,X1)
| ~ v1_funct_2(X5,X0,X1)
| ~ v1_funct_1(X5)
| ~ m2_relset_1(X6,X1,X3)
| ~ v1_funct_2(X6,X1,X3)
| ~ v1_funct_1(X6)
| k8_funct_2(X1,X3,X6,k2_binop_1(X1,X1,X1,X2,sK280(X1,X2,X3,X4,X6),sK281(X1,X2,X3,X4,X6))) != k2_binop_1(X3,X3,X3,X4,k8_funct_2(X1,X3,X6,sK280(X1,X2,X3,X4,X6)),k8_funct_2(X1,X3,X6,sK281(X1,X2,X3,X4,X6)))
| k8_funct_2(X1,X3,X6,k3_binop_1(X1,X2)) != k3_binop_1(X3,X4)
| ~ m1_subset_1(X7,k5_finsub_1(X0))
| k8_funct_2(X1,X3,X6,k7_setwiseo(X0,X1,X2,X7,X5)) = k7_setwiseo(X0,X3,X4,X7,k7_funct_2(X0,X1,X3,X5,X6)) ),
inference(cnf_transformation,[],[f9704]) ).
fof(f12065,plain,
! [X2,X0,X1] :
( v1_xboole_0(X0)
| ~ m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| ~ v1_setwiseo(X1,X0)
| ~ m1_subset_1(X2,X0)
| k2_binop_1(X0,X0,X0,X1,X2,k3_binop_1(X0,X1)) = X2 ),
inference(cnf_transformation,[],[f7755]) ).
fof(f12066,plain,
! [X2,X0,X1] :
( v1_xboole_0(X0)
| ~ m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| ~ v1_setwiseo(X1,X0)
| ~ m1_subset_1(X2,X0)
| k2_binop_1(X0,X0,X0,X1,k3_binop_1(X0,X1),X2) = X2 ),
inference(cnf_transformation,[],[f7755]) ).
fof(f12067,plain,
! [X0,X1] :
( v1_xboole_0(X0)
| ~ m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| ~ v1_setwiseo(X1,X0)
| r3_binop_1(X0,k3_binop_1(X0,X1),X1) ),
inference(cnf_transformation,[],[f9705]) ).
fof(f12068,plain,
! [X0,X1] :
( v1_xboole_0(X0)
| ~ m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| ~ r3_binop_1(X0,k3_binop_1(X0,X1),X1)
| v1_setwiseo(X1,X0) ),
inference(cnf_transformation,[],[f9705]) ).
fof(f12069,plain,
! [X0,X1] :
( ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| m1_subset_1(k3_binop_1(X0,X1),X0) ),
inference(cnf_transformation,[],[f7759]) ).
fof(f12070,plain,
! [X2,X3,X0,X1] :
( ~ m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| ~ r3_binop_1(X0,X3,X1)
| ~ m1_subset_1(X3,X0)
| ~ m1_subset_1(X2,X0)
| k3_binop_1(X0,X1) != X2
| r3_binop_1(X0,X2,X1) ),
inference(cnf_transformation,[],[f9707]) ).
fof(f12071,plain,
! [X2,X3,X0,X1] :
( ~ m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| ~ r3_binop_1(X0,X3,X1)
| ~ m1_subset_1(X3,X0)
| ~ m1_subset_1(X2,X0)
| ~ r3_binop_1(X0,X2,X1)
| k3_binop_1(X0,X1) = X2 ),
inference(cnf_transformation,[],[f9707]) ).
fof(f12072,plain,
! [X2,X3,X0,X1,X4,X5] :
( v1_xboole_0(X0)
| v1_xboole_0(X1)
| ~ m1_subset_1(X2,X0)
| ~ m1_subset_1(X3,X1)
| ~ m2_relset_1(X4,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X4,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X4)
| ~ m2_relset_1(X5,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X5,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X5)
| ~ r3_binop_1(X1,X3,X5)
| ~ r3_binop_1(X0,X2,X4)
| r3_binop_1(k2_zfmisc_1(X0,X1),k1_domain_1(X0,X1,X2,X3),k7_filter_1(X0,X1,X4,X5)) ),
inference(cnf_transformation,[],[f9709]) ).
fof(f12073,plain,
! [X2,X3,X0,X1,X4,X5] :
( v1_xboole_0(X0)
| v1_xboole_0(X1)
| ~ m1_subset_1(X2,X0)
| ~ m1_subset_1(X3,X1)
| ~ m2_relset_1(X4,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X4,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X4)
| ~ m2_relset_1(X5,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X5,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X5)
| ~ r3_binop_1(k2_zfmisc_1(X0,X1),k1_domain_1(X0,X1,X2,X3),k7_filter_1(X0,X1,X4,X5))
| r3_binop_1(X1,X3,X5) ),
inference(cnf_transformation,[],[f9709]) ).
fof(f12074,plain,
! [X2,X3,X0,X1,X4,X5] :
( v1_xboole_0(X0)
| v1_xboole_0(X1)
| ~ m1_subset_1(X2,X0)
| ~ m1_subset_1(X3,X1)
| ~ m2_relset_1(X4,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X4,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X4)
| ~ m2_relset_1(X5,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X5,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X5)
| ~ r3_binop_1(k2_zfmisc_1(X0,X1),k1_domain_1(X0,X1,X2,X3),k7_filter_1(X0,X1,X4,X5))
| r3_binop_1(X0,X2,X4) ),
inference(cnf_transformation,[],[f9709]) ).
fof(f12075,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v13_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| r3_binop_1(u1_struct_0(X0),k5_lattices(X0),u2_lattices(X0)) ),
inference(cnf_transformation,[],[f7765]) ).
fof(f12076,plain,
! [X0] :
( ~ l1_group_1(X0)
| ~ v2_group_1(X0)
| v3_struct_0(X0)
| r3_binop_1(u1_struct_0(X0),k2_group_1(X0),u1_group_1(X0)) ),
inference(cnf_transformation,[],[f7767]) ).
fof(f12077,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ sP22(X0,X1,X2,X3,X4,X5)
| k7_setwiseo(X4,X5,X1,X2,X0) != X3
| sP21(X5,X4,X3,X2,X1,X0) ),
inference(cnf_transformation,[],[f9711]) ).
fof(f12078,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ sP22(X0,X1,X2,X3,X4,X5)
| ~ sP21(X5,X4,X3,X2,X1,X0)
| k7_setwiseo(X4,X5,X1,X2,X0) = X3 ),
inference(cnf_transformation,[],[f9711]) ).
fof(f12079,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ sP21(X0,X1,X2,X3,X4,X5)
| sP20(X5,X0,X1,sK284(X0,X1,X2,X3,X4,X5),X4,X3) ),
inference(cnf_transformation,[],[f9714]) ).
fof(f12080,plain,
! [X2,X3,X0,X11,X1,X4,X5] :
( ~ sP21(X0,X1,X2,X3,X4,X5)
| ~ m1_subset_1(X11,X1)
| k8_funct_2(X1,X0,X5,X11) = k8_funct_2(k5_finsub_1(X1),X0,sK284(X0,X1,X2,X3,X4,X5),k2_setwiseo(X1,X11)) ),
inference(cnf_transformation,[],[f9714]) ).
fof(f12081,plain,
! [X2,X3,X10,X0,X1,X4,X5] :
( ~ sP21(X0,X1,X2,X3,X4,X5)
| ~ m1_subset_1(X10,X0)
| ~ r3_binop_1(X0,X10,X4)
| k1_funct_1(sK284(X0,X1,X2,X3,X4,X5),k1_xboole_0) = X10 ),
inference(cnf_transformation,[],[f9714]) ).
fof(f12082,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ sP21(X0,X1,X2,X3,X4,X5)
| k8_funct_2(k5_finsub_1(X1),X0,sK284(X0,X1,X2,X3,X4,X5),X3) = X2 ),
inference(cnf_transformation,[],[f9714]) ).
fof(f12083,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ sP21(X0,X1,X2,X3,X4,X5)
| m2_relset_1(sK284(X0,X1,X2,X3,X4,X5),k5_finsub_1(X1),X0) ),
inference(cnf_transformation,[],[f9714]) ).
fof(f12084,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ sP21(X0,X1,X2,X3,X4,X5)
| v1_funct_2(sK284(X0,X1,X2,X3,X4,X5),k5_finsub_1(X1),X0) ),
inference(cnf_transformation,[],[f9714]) ).
fof(f12085,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ sP21(X0,X1,X2,X3,X4,X5)
| v1_funct_1(sK284(X0,X1,X2,X3,X4,X5)) ),
inference(cnf_transformation,[],[f9714]) ).
fof(f12086,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ sP20(X5,X0,X1,X6,X4,X3)
| m1_subset_1(sK283(X0,X1,X5,X6),X1)
| m1_subset_1(sK282(X0,X4,X6),X0)
| k8_funct_2(k5_finsub_1(X1),X0,X6,X3) != X2
| ~ m2_relset_1(X6,k5_finsub_1(X1),X0)
| ~ v1_funct_2(X6,k5_finsub_1(X1),X0)
| ~ v1_funct_1(X6)
| sP21(X0,X1,X2,X3,X4,X5) ),
inference(cnf_transformation,[],[f9714]) ).
fof(f12087,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ sP20(X5,X0,X1,X6,X4,X3)
| k8_funct_2(X1,X0,X5,sK283(X0,X1,X5,X6)) != k8_funct_2(k5_finsub_1(X1),X0,X6,k2_setwiseo(X1,sK283(X0,X1,X5,X6)))
| m1_subset_1(sK282(X0,X4,X6),X0)
| k8_funct_2(k5_finsub_1(X1),X0,X6,X3) != X2
| ~ m2_relset_1(X6,k5_finsub_1(X1),X0)
| ~ v1_funct_2(X6,k5_finsub_1(X1),X0)
| ~ v1_funct_1(X6)
| sP21(X0,X1,X2,X3,X4,X5) ),
inference(cnf_transformation,[],[f9714]) ).
fof(f12088,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ sP20(X5,X0,X1,X6,X4,X3)
| m1_subset_1(sK283(X0,X1,X5,X6),X1)
| r3_binop_1(X0,sK282(X0,X4,X6),X4)
| k8_funct_2(k5_finsub_1(X1),X0,X6,X3) != X2
| ~ m2_relset_1(X6,k5_finsub_1(X1),X0)
| ~ v1_funct_2(X6,k5_finsub_1(X1),X0)
| ~ v1_funct_1(X6)
| sP21(X0,X1,X2,X3,X4,X5) ),
inference(cnf_transformation,[],[f9714]) ).
fof(f12089,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ sP20(X5,X0,X1,X6,X4,X3)
| k8_funct_2(X1,X0,X5,sK283(X0,X1,X5,X6)) != k8_funct_2(k5_finsub_1(X1),X0,X6,k2_setwiseo(X1,sK283(X0,X1,X5,X6)))
| r3_binop_1(X0,sK282(X0,X4,X6),X4)
| k8_funct_2(k5_finsub_1(X1),X0,X6,X3) != X2
| ~ m2_relset_1(X6,k5_finsub_1(X1),X0)
| ~ v1_funct_2(X6,k5_finsub_1(X1),X0)
| ~ v1_funct_1(X6)
| sP21(X0,X1,X2,X3,X4,X5) ),
inference(cnf_transformation,[],[f9714]) ).
fof(f12090,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ sP20(X5,X0,X1,X6,X4,X3)
| m1_subset_1(sK283(X0,X1,X5,X6),X1)
| k1_funct_1(X6,k1_xboole_0) != sK282(X0,X4,X6)
| k8_funct_2(k5_finsub_1(X1),X0,X6,X3) != X2
| ~ m2_relset_1(X6,k5_finsub_1(X1),X0)
| ~ v1_funct_2(X6,k5_finsub_1(X1),X0)
| ~ v1_funct_1(X6)
| sP21(X0,X1,X2,X3,X4,X5) ),
inference(cnf_transformation,[],[f9714]) ).
fof(f12091,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ sP20(X5,X0,X1,X6,X4,X3)
| k8_funct_2(X1,X0,X5,sK283(X0,X1,X5,X6)) != k8_funct_2(k5_finsub_1(X1),X0,X6,k2_setwiseo(X1,sK283(X0,X1,X5,X6)))
| k1_funct_1(X6,k1_xboole_0) != sK282(X0,X4,X6)
| k8_funct_2(k5_finsub_1(X1),X0,X6,X3) != X2
| ~ m2_relset_1(X6,k5_finsub_1(X1),X0)
| ~ v1_funct_2(X6,k5_finsub_1(X1),X0)
| ~ v1_funct_1(X6)
| sP21(X0,X1,X2,X3,X4,X5) ),
inference(cnf_transformation,[],[f9714]) ).
fof(f12099,plain,
! [X2,X3,X0,X1,X4,X5] :
( v1_xboole_0(X0)
| v1_xboole_0(X1)
| ~ m2_relset_1(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X2)
| ~ m1_subset_1(X3,k5_finsub_1(X0))
| ~ m2_relset_1(X4,X0,X1)
| ~ v1_funct_2(X4,X0,X1)
| ~ v1_funct_1(X4)
| ~ v2_binop_1(X2,X1)
| ~ v1_binop_1(X2,X1)
| ~ v3_binop_1(X2,X1)
| ~ m1_subset_1(X5,X1)
| sP22(X4,X2,X3,X5,X0,X1)
| ~ v1_setwiseo(X2,X1) ),
inference(cnf_transformation,[],[f9246]) ).
fof(f12100,plain,
! [X2,X3,X0,X1,X4,X5] :
( v1_xboole_0(X0)
| v1_xboole_0(X1)
| ~ m2_relset_1(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X2)
| ~ m1_subset_1(X3,k5_finsub_1(X0))
| ~ m2_relset_1(X4,X0,X1)
| ~ v1_funct_2(X4,X0,X1)
| ~ v1_funct_1(X4)
| ~ v2_binop_1(X2,X1)
| ~ v1_binop_1(X2,X1)
| ~ v3_binop_1(X2,X1)
| ~ m1_subset_1(X5,X1)
| sP22(X4,X2,X3,X5,X0,X1)
| k1_xboole_0 = X3 ),
inference(cnf_transformation,[],[f9246]) ).
fof(f12101,plain,
! [X0,X1] :
( v1_xboole_0(X0)
| ~ m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| ~ v1_setwiseo(X1,X0)
| r3_binop_1(X0,sK287(X0,X1),X1) ),
inference(cnf_transformation,[],[f9720]) ).
fof(f12102,plain,
! [X0,X1] :
( v1_xboole_0(X0)
| ~ m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| ~ v1_setwiseo(X1,X0)
| m1_subset_1(sK287(X0,X1),X0) ),
inference(cnf_transformation,[],[f9720]) ).
fof(f12103,plain,
! [X2,X0,X1] :
( v1_xboole_0(X0)
| ~ m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| ~ r3_binop_1(X0,X2,X1)
| ~ m1_subset_1(X2,X0)
| v1_setwiseo(X1,X0) ),
inference(cnf_transformation,[],[f9720]) ).
fof(f12104,plain,
! [X2,X3,X0,X1] :
( ~ m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| ~ m1_subset_1(X2,X0)
| ~ m1_subset_1(X3,X0)
| ~ r3_binop_1(X0,X3,X1)
| ~ r3_binop_1(X0,X2,X1)
| X2 = X3 ),
inference(cnf_transformation,[],[f7773]) ).
fof(f12106,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| ~ m1_subset_1(X2,X0)
| ~ v1_binop_1(X1,X0)
| m1_subset_1(sK288(X0,X1,X2),X0)
| r3_binop_1(X0,X2,X1) ),
inference(cnf_transformation,[],[f9723]) ).
fof(f12107,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| ~ m1_subset_1(X2,X0)
| ~ v1_binop_1(X1,X0)
| sK288(X0,X1,X2) != k1_binop_1(X1,sK288(X0,X1,X2),X2)
| r3_binop_1(X0,X2,X1) ),
inference(cnf_transformation,[],[f9723]) ).
fof(f12109,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| ~ m1_subset_1(X2,X0)
| ~ v1_binop_1(X1,X0)
| m1_subset_1(sK289(X0,X1,X2),X0)
| r3_binop_1(X0,X2,X1) ),
inference(cnf_transformation,[],[f9726]) ).
fof(f12110,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| ~ m1_subset_1(X2,X0)
| ~ v1_binop_1(X1,X0)
| sK289(X0,X1,X2) != k1_binop_1(X1,X2,sK289(X0,X1,X2))
| r3_binop_1(X0,X2,X1) ),
inference(cnf_transformation,[],[f9726]) ).
fof(f12111,plain,
! [X2,X0,X1,X4] :
( ~ m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| ~ m1_subset_1(X2,X0)
| ~ r3_binop_1(X0,X2,X1)
| ~ m1_subset_1(X4,X0)
| k1_binop_1(X1,X4,X2) = X4 ),
inference(cnf_transformation,[],[f9729]) ).
fof(f12112,plain,
! [X2,X0,X1,X4] :
( ~ m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| ~ m1_subset_1(X2,X0)
| ~ r3_binop_1(X0,X2,X1)
| ~ m1_subset_1(X4,X0)
| k1_binop_1(X1,X2,X4) = X4 ),
inference(cnf_transformation,[],[f9729]) ).
fof(f12113,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| ~ m1_subset_1(X2,X0)
| m1_subset_1(sK290(X0,X1,X2),X0)
| r3_binop_1(X0,X2,X1) ),
inference(cnf_transformation,[],[f9729]) ).
fof(f12114,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| ~ m1_subset_1(X2,X0)
| sK290(X0,X1,X2) != k1_binop_1(X1,sK290(X0,X1,X2),X2)
| sK290(X0,X1,X2) != k1_binop_1(X1,X2,sK290(X0,X1,X2))
| r3_binop_1(X0,X2,X1) ),
inference(cnf_transformation,[],[f9729]) ).
fof(f12115,plain,
! [X2,X3,X0,X1,X4,X5] :
( v1_xboole_0(X0)
| v1_xboole_0(X1)
| ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ m2_relset_1(X3,X1,X0)
| ~ v1_funct_2(X3,X1,X0)
| ~ v1_funct_1(X3)
| ~ v1_setwiseo(X2,X0)
| ~ v2_binop_1(X2,X0)
| ~ v1_binop_1(X2,X0)
| ~ v3_binop_1(X2,X0)
| ~ m1_subset_1(X4,k5_finsub_1(X1))
| ~ m1_subset_1(X5,k5_finsub_1(X1))
| k7_setwiseo(X1,X0,X2,k5_setwiseo(X1,X4,X5),X3) = k2_binop_1(X0,X0,X0,X2,k7_setwiseo(X1,X0,X2,X4,X3),k7_setwiseo(X1,X0,X2,X5,X3)) ),
inference(cnf_transformation,[],[f7781]) ).
fof(f12116,plain,
! [X2,X3,X0,X1,X4,X5] :
( v1_xboole_0(X0)
| v1_xboole_0(X1)
| ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ m1_subset_1(X3,k5_finsub_1(X1))
| ~ m2_relset_1(X4,X1,X0)
| ~ v1_funct_2(X4,X1,X0)
| ~ v1_funct_1(X4)
| ~ v1_setwiseo(X2,X0)
| ~ v2_binop_1(X2,X0)
| ~ v1_binop_1(X2,X0)
| ~ v3_binop_1(X2,X0)
| ~ m1_subset_1(X5,X1)
| k7_setwiseo(X1,X0,X2,k5_setwiseo(X1,X3,k2_setwiseo(X1,X5)),X4) = k2_binop_1(X0,X0,X0,X2,k7_setwiseo(X1,X0,X2,X3,X4),k8_funct_2(X1,X0,X4,X5)) ),
inference(cnf_transformation,[],[f7783]) ).
fof(f12117,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ m1_subset_1(X5,X1)
| ~ m1_subset_1(X4,X0)
| ~ m1_relset_1(X3,k2_zfmisc_1(X0,X1),X2)
| ~ v1_funct_2(X3,k2_zfmisc_1(X0,X1),X2)
| ~ v1_funct_1(X3)
| v1_xboole_0(X1)
| v1_xboole_0(X0)
| m1_subset_1(k2_binop_1(X0,X1,X2,X3,X4,X5),X2) ),
inference(cnf_transformation,[],[f7785]) ).
fof(f12118,plain,
! [X0,X1,X6,X7,X5] :
( v1_xboole_0(X0)
| ~ m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| ~ v2_binop_1(X1,X0)
| ~ m1_subset_1(X5,X0)
| ~ m1_subset_1(X6,X0)
| ~ m1_subset_1(X7,X0)
| k2_binop_1(X0,X0,X0,X1,X5,k2_binop_1(X0,X0,X0,X1,X6,X7)) = k2_binop_1(X0,X0,X0,X1,k2_binop_1(X0,X0,X0,X1,X5,X6),X7) ),
inference(cnf_transformation,[],[f9732]) ).
fof(f12119,plain,
! [X0,X1] :
( v1_xboole_0(X0)
| ~ m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| m1_subset_1(sK291(X0,X1),X0)
| v2_binop_1(X1,X0) ),
inference(cnf_transformation,[],[f9732]) ).
fof(f12120,plain,
! [X0,X1] :
( v1_xboole_0(X0)
| ~ m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| m1_subset_1(sK292(X0,X1),X0)
| v2_binop_1(X1,X0) ),
inference(cnf_transformation,[],[f9732]) ).
fof(f12121,plain,
! [X0,X1] :
( v1_xboole_0(X0)
| ~ m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| m1_subset_1(sK293(X0,X1),X0)
| v2_binop_1(X1,X0) ),
inference(cnf_transformation,[],[f9732]) ).
fof(f12122,plain,
! [X0,X1] :
( v1_xboole_0(X0)
| ~ m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| k2_binop_1(X0,X0,X0,X1,sK291(X0,X1),k2_binop_1(X0,X0,X0,X1,sK292(X0,X1),sK293(X0,X1))) != k2_binop_1(X0,X0,X0,X1,k2_binop_1(X0,X0,X0,X1,sK291(X0,X1),sK292(X0,X1)),sK293(X0,X1))
| v2_binop_1(X1,X0) ),
inference(cnf_transformation,[],[f9732]) ).
fof(f12123,plain,
! [X0,X1,X4,X5] :
( v1_xboole_0(X0)
| ~ m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| ~ v1_binop_1(X1,X0)
| ~ m1_subset_1(X4,X0)
| ~ m1_subset_1(X5,X0)
| k2_binop_1(X0,X0,X0,X1,X4,X5) = k2_binop_1(X0,X0,X0,X1,X5,X4) ),
inference(cnf_transformation,[],[f9735]) ).
fof(f12124,plain,
! [X0,X1] :
( v1_xboole_0(X0)
| ~ m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| m1_subset_1(sK294(X0,X1),X0)
| v1_binop_1(X1,X0) ),
inference(cnf_transformation,[],[f9735]) ).
fof(f12125,plain,
! [X0,X1] :
( v1_xboole_0(X0)
| ~ m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| m1_subset_1(sK295(X0,X1),X0)
| v1_binop_1(X1,X0) ),
inference(cnf_transformation,[],[f9735]) ).
fof(f12126,plain,
! [X0,X1] :
( v1_xboole_0(X0)
| ~ m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| k2_binop_1(X0,X0,X0,X1,sK294(X0,X1),sK295(X0,X1)) != k2_binop_1(X0,X0,X0,X1,sK295(X0,X1),sK294(X0,X1))
| v1_binop_1(X1,X0) ),
inference(cnf_transformation,[],[f9735]) ).
fof(f12127,plain,
! [X2,X3,X0,X1,X4] :
( v1_xboole_0(X0)
| v1_xboole_0(X1)
| v1_xboole_0(X2)
| ~ m2_relset_1(X3,k2_zfmisc_1(X0,X1),X2)
| ~ v1_funct_2(X3,k2_zfmisc_1(X0,X1),X2)
| ~ v1_funct_1(X3)
| ~ m2_relset_1(X4,k2_zfmisc_1(X0,X1),X2)
| ~ v1_funct_2(X4,k2_zfmisc_1(X0,X1),X2)
| ~ v1_funct_1(X4)
| m1_subset_1(sK296(X0,X1,X2,X3,X4),X0)
| X3 = X4 ),
inference(cnf_transformation,[],[f9736]) ).
fof(f12128,plain,
! [X2,X3,X0,X1,X4] :
( v1_xboole_0(X0)
| v1_xboole_0(X1)
| v1_xboole_0(X2)
| ~ m2_relset_1(X3,k2_zfmisc_1(X0,X1),X2)
| ~ v1_funct_2(X3,k2_zfmisc_1(X0,X1),X2)
| ~ v1_funct_1(X3)
| ~ m2_relset_1(X4,k2_zfmisc_1(X0,X1),X2)
| ~ v1_funct_2(X4,k2_zfmisc_1(X0,X1),X2)
| ~ v1_funct_1(X4)
| m1_subset_1(sK297(X0,X1,X2,X3,X4),X1)
| X3 = X4 ),
inference(cnf_transformation,[],[f9736]) ).
fof(f12129,plain,
! [X2,X3,X0,X1,X4] :
( v1_xboole_0(X0)
| v1_xboole_0(X1)
| v1_xboole_0(X2)
| ~ m2_relset_1(X3,k2_zfmisc_1(X0,X1),X2)
| ~ v1_funct_2(X3,k2_zfmisc_1(X0,X1),X2)
| ~ v1_funct_1(X3)
| ~ m2_relset_1(X4,k2_zfmisc_1(X0,X1),X2)
| ~ v1_funct_2(X4,k2_zfmisc_1(X0,X1),X2)
| ~ v1_funct_1(X4)
| k2_binop_1(X0,X1,X2,X3,sK296(X0,X1,X2,X3,X4),sK297(X0,X1,X2,X3,X4)) != k2_binop_1(X0,X1,X2,X4,sK296(X0,X1,X2,X3,X4),sK297(X0,X1,X2,X3,X4))
| X3 = X4 ),
inference(cnf_transformation,[],[f9736]) ).
fof(f12130,plain,
! [X0] :
( ~ l3_lattices(X0)
| l2_lattices(X0) ),
inference(cnf_transformation,[],[f7792]) ).
fof(f12131,plain,
! [X0] :
( ~ l3_lattices(X0)
| l1_lattices(X0) ),
inference(cnf_transformation,[],[f7792]) ).
fof(f12132,plain,
l2_lattices(sK298),
inference(cnf_transformation,[],[f9737]) ).
fof(f12133,plain,
! [X0] :
( ~ l2_lattices(X0)
| l1_struct_0(X0) ),
inference(cnf_transformation,[],[f7793]) ).
fof(f12135,plain,
! [X0] :
( ~ l1_lattices(X0)
| ~ v6_lattices(X0)
| v3_struct_0(X0)
| v1_partfun1(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f7797]) ).
fof(f12136,plain,
! [X0] :
( ~ l1_lattices(X0)
| ~ v6_lattices(X0)
| v3_struct_0(X0)
| v1_binop_1(u1_lattices(X0),u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f7797]) ).
fof(f12139,plain,
! [X0] :
( ~ l1_lattices(X0)
| ~ v6_lattices(X0)
| v3_struct_0(X0)
| v1_relat_1(u1_lattices(X0)) ),
inference(cnf_transformation,[],[f7797]) ).
fof(f12140,plain,
! [X0] :
( ~ l1_lattices(X0)
| m2_relset_1(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f7798]) ).
fof(f12141,plain,
! [X0] :
( ~ l1_lattices(X0)
| v1_funct_2(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f7798]) ).
fof(f12142,plain,
! [X0] :
( ~ l1_lattices(X0)
| v1_funct_1(u1_lattices(X0)) ),
inference(cnf_transformation,[],[f7798]) ).
fof(f12143,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l1_lattices(X0)
| ~ v6_lattices(X0)
| v3_struct_0(X0)
| k2_lattices(X0,X1,X2) = k4_lattices(X0,X1,X2) ),
inference(cnf_transformation,[],[f7800]) ).
fof(f12144,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l1_lattices(X0)
| ~ v6_lattices(X0)
| v3_struct_0(X0)
| k4_lattices(X0,X1,X2) = k4_lattices(X0,X2,X1) ),
inference(cnf_transformation,[],[f7802]) ).
fof(f12145,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l1_lattices(X0)
| ~ v6_lattices(X0)
| v3_struct_0(X0)
| m1_subset_1(k4_lattices(X0,X1,X2),u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f7804]) ).
fof(f12146,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l1_lattices(X0)
| v3_struct_0(X0)
| m1_subset_1(k2_lattices(X0,X1,X2),u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f7806]) ).
fof(f12147,plain,
l1_lattices(sK299),
inference(cnf_transformation,[],[f9738]) ).
fof(f12148,plain,
! [X0] :
( ~ l1_lattices(X0)
| l1_struct_0(X0) ),
inference(cnf_transformation,[],[f7807]) ).
fof(f12149,plain,
! [X3,X0,X1] :
( ~ l1_lattices(X0)
| v3_struct_0(X0)
| ~ v13_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| k5_lattices(X0) != X1
| ~ m1_subset_1(X3,u1_struct_0(X0))
| k2_lattices(X0,X3,X1) = X1 ),
inference(cnf_transformation,[],[f9741]) ).
fof(f12150,plain,
! [X3,X0,X1] :
( ~ l1_lattices(X0)
| v3_struct_0(X0)
| ~ v13_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| k5_lattices(X0) != X1
| ~ m1_subset_1(X3,u1_struct_0(X0))
| k2_lattices(X0,X1,X3) = X1 ),
inference(cnf_transformation,[],[f9741]) ).
fof(f12151,plain,
! [X0,X1] :
( ~ l1_lattices(X0)
| v3_struct_0(X0)
| ~ v13_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| m1_subset_1(sK300(X0,X1),u1_struct_0(X0))
| k5_lattices(X0) = X1 ),
inference(cnf_transformation,[],[f9741]) ).
fof(f12152,plain,
! [X0,X1] :
( ~ l1_lattices(X0)
| v3_struct_0(X0)
| ~ v13_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| k2_lattices(X0,sK300(X0,X1),X1) != X1
| k2_lattices(X0,X1,sK300(X0,X1)) != X1
| k5_lattices(X0) = X1 ),
inference(cnf_transformation,[],[f9741]) ).
fof(f12153,plain,
! [X0,X4] :
( ~ l1_lattices(X0)
| v3_struct_0(X0)
| ~ v13_lattices(X0)
| ~ m1_subset_1(X4,u1_struct_0(X0))
| sK302(X0) = k2_lattices(X0,X4,sK302(X0)) ),
inference(cnf_transformation,[],[f9744]) ).
fof(f12154,plain,
! [X0,X4] :
( ~ l1_lattices(X0)
| v3_struct_0(X0)
| ~ v13_lattices(X0)
| ~ m1_subset_1(X4,u1_struct_0(X0))
| sK302(X0) = k2_lattices(X0,sK302(X0),X4) ),
inference(cnf_transformation,[],[f9744]) ).
fof(f12155,plain,
! [X0] :
( ~ l1_lattices(X0)
| v3_struct_0(X0)
| ~ v13_lattices(X0)
| m1_subset_1(sK302(X0),u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f9744]) ).
fof(f12156,plain,
! [X0,X1] :
( ~ l1_lattices(X0)
| v3_struct_0(X0)
| m1_subset_1(sK301(X0,X1),u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| v13_lattices(X0) ),
inference(cnf_transformation,[],[f9744]) ).
fof(f12157,plain,
! [X0,X1] :
( ~ l1_lattices(X0)
| v3_struct_0(X0)
| k2_lattices(X0,sK301(X0,X1),X1) != X1
| k2_lattices(X0,X1,sK301(X0,X1)) != X1
| ~ m1_subset_1(X1,u1_struct_0(X0))
| v13_lattices(X0) ),
inference(cnf_transformation,[],[f9744]) ).
fof(f12158,plain,
! [X0,X6,X4,X5] :
( ~ l1_lattices(X0)
| v3_struct_0(X0)
| ~ v7_lattices(X0)
| ~ m1_subset_1(X4,u1_struct_0(X0))
| ~ m1_subset_1(X5,u1_struct_0(X0))
| ~ m1_subset_1(X6,u1_struct_0(X0))
| k2_lattices(X0,X4,k2_lattices(X0,X5,X6)) = k2_lattices(X0,k2_lattices(X0,X4,X5),X6) ),
inference(cnf_transformation,[],[f9747]) ).
fof(f12159,plain,
! [X0] :
( ~ l1_lattices(X0)
| v3_struct_0(X0)
| m1_subset_1(sK303(X0),u1_struct_0(X0))
| v7_lattices(X0) ),
inference(cnf_transformation,[],[f9747]) ).
fof(f12160,plain,
! [X0] :
( ~ l1_lattices(X0)
| v3_struct_0(X0)
| m1_subset_1(sK304(X0),u1_struct_0(X0))
| v7_lattices(X0) ),
inference(cnf_transformation,[],[f9747]) ).
fof(f12161,plain,
! [X0] :
( ~ l1_lattices(X0)
| v3_struct_0(X0)
| m1_subset_1(sK305(X0),u1_struct_0(X0))
| v7_lattices(X0) ),
inference(cnf_transformation,[],[f9747]) ).
fof(f12162,plain,
! [X0] :
( ~ l1_lattices(X0)
| v3_struct_0(X0)
| k2_lattices(X0,sK303(X0),k2_lattices(X0,sK304(X0),sK305(X0))) != k2_lattices(X0,k2_lattices(X0,sK303(X0),sK304(X0)),sK305(X0))
| v7_lattices(X0) ),
inference(cnf_transformation,[],[f9747]) ).
fof(f12163,plain,
! [X3,X0,X4] :
( ~ l1_lattices(X0)
| v3_struct_0(X0)
| ~ v6_lattices(X0)
| ~ m1_subset_1(X3,u1_struct_0(X0))
| ~ m1_subset_1(X4,u1_struct_0(X0))
| k2_lattices(X0,X3,X4) = k2_lattices(X0,X4,X3) ),
inference(cnf_transformation,[],[f9750]) ).
fof(f12164,plain,
! [X0] :
( ~ l1_lattices(X0)
| v3_struct_0(X0)
| m1_subset_1(sK306(X0),u1_struct_0(X0))
| v6_lattices(X0) ),
inference(cnf_transformation,[],[f9750]) ).
fof(f12165,plain,
! [X0] :
( ~ l1_lattices(X0)
| v3_struct_0(X0)
| m1_subset_1(sK307(X0),u1_struct_0(X0))
| v6_lattices(X0) ),
inference(cnf_transformation,[],[f9750]) ).
fof(f12166,plain,
! [X0] :
( ~ l1_lattices(X0)
| v3_struct_0(X0)
| k2_lattices(X0,sK306(X0),sK307(X0)) != k2_lattices(X0,sK307(X0),sK306(X0))
| v6_lattices(X0) ),
inference(cnf_transformation,[],[f9750]) ).
fof(f12167,plain,
! [X2,X0,X1] :
( ~ l1_lattices(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| k2_lattices(X0,X1,X2) = k2_binop_1(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),u1_lattices(X0),X1,X2) ),
inference(cnf_transformation,[],[f7817]) ).
fof(f12168,plain,
! [X2,X3,X0,X1] :
( ~ l3_lattices(X0)
| ~ v13_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,k5_finsub_1(u1_struct_0(X0)))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m2_relset_1(X3,u1_struct_0(X0),u1_struct_0(X0))
| ~ v1_funct_2(X3,u1_struct_0(X0),u1_struct_0(X0))
| ~ v1_funct_1(X3)
| k2_lattice2(u1_struct_0(X0),X0,k5_setwiseo(u1_struct_0(X0),X1,k2_setwiseo(u1_struct_0(X0),X2)),X3) = k3_lattices(X0,k2_lattice2(u1_struct_0(X0),X0,X1,X3),k8_funct_2(u1_struct_0(X0),u1_struct_0(X0),X3,X2)) ),
inference(cnf_transformation,[],[f7819]) ).
fof(f12169,plain,
! [X2,X3,X0,X1] :
( ~ m1_relset_1(X3,X0,u1_struct_0(X1))
| ~ v1_funct_2(X3,X0,u1_struct_0(X1))
| ~ v1_funct_1(X3)
| ~ m1_subset_1(X2,k5_finsub_1(X0))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| v1_xboole_0(X0)
| m1_subset_1(k2_lattice2(X0,X1,X2,X3),u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f7821]) ).
fof(f12170,plain,
! [X2,X3,X0,X1,X4] :
( v1_xboole_0(X0)
| ~ m1_subset_1(X1,k5_finsub_1(X0))
| ~ l3_lattices(X2)
| ~ v13_lattices(X2)
| ~ v10_lattices(X2)
| v3_struct_0(X2)
| ~ m2_relset_1(X3,X0,u1_struct_0(X2))
| ~ v1_funct_2(X3,X0,u1_struct_0(X2))
| ~ v1_funct_1(X3)
| ~ m2_relset_1(X4,X0,u1_struct_0(X2))
| ~ v1_funct_2(X4,X0,u1_struct_0(X2))
| ~ v1_funct_1(X4)
| m1_subset_1(sK308(X0,X1,X2,X3,X4),X0)
| r3_lattices(X2,k2_lattice2(X0,X2,X1,X3),k2_lattice2(X0,X2,X1,X4)) ),
inference(cnf_transformation,[],[f9751]) ).
fof(f12171,plain,
! [X2,X3,X0,X1,X4] :
( v1_xboole_0(X0)
| ~ m1_subset_1(X1,k5_finsub_1(X0))
| ~ l3_lattices(X2)
| ~ v13_lattices(X2)
| ~ v10_lattices(X2)
| v3_struct_0(X2)
| ~ m2_relset_1(X3,X0,u1_struct_0(X2))
| ~ v1_funct_2(X3,X0,u1_struct_0(X2))
| ~ v1_funct_1(X3)
| ~ m2_relset_1(X4,X0,u1_struct_0(X2))
| ~ v1_funct_2(X4,X0,u1_struct_0(X2))
| ~ v1_funct_1(X4)
| r2_hidden(sK308(X0,X1,X2,X3,X4),X1)
| r3_lattices(X2,k2_lattice2(X0,X2,X1,X3),k2_lattice2(X0,X2,X1,X4)) ),
inference(cnf_transformation,[],[f9751]) ).
fof(f12172,plain,
! [X2,X3,X0,X1,X4] :
( v1_xboole_0(X0)
| ~ m1_subset_1(X1,k5_finsub_1(X0))
| ~ l3_lattices(X2)
| ~ v13_lattices(X2)
| ~ v10_lattices(X2)
| v3_struct_0(X2)
| ~ m2_relset_1(X3,X0,u1_struct_0(X2))
| ~ v1_funct_2(X3,X0,u1_struct_0(X2))
| ~ v1_funct_1(X3)
| ~ m2_relset_1(X4,X0,u1_struct_0(X2))
| ~ v1_funct_2(X4,X0,u1_struct_0(X2))
| ~ v1_funct_1(X4)
| ~ r3_lattices(X2,k8_funct_2(X0,u1_struct_0(X2),X3,sK308(X0,X1,X2,X3,X4)),k8_funct_2(X0,u1_struct_0(X2),X4,sK308(X0,X1,X2,X3,X4)))
| r3_lattices(X2,k2_lattice2(X0,X2,X1,X3),k2_lattice2(X0,X2,X1,X4)) ),
inference(cnf_transformation,[],[f9751]) ).
fof(f12173,plain,
! [X2,X3,X0,X1,X4] :
( v1_xboole_0(X0)
| ~ m1_subset_1(X1,k5_finsub_1(X0))
| ~ l3_lattices(X2)
| ~ v13_lattices(X2)
| ~ v10_lattices(X2)
| v3_struct_0(X2)
| ~ m2_relset_1(X3,X0,u1_struct_0(X2))
| ~ v1_funct_2(X3,X0,u1_struct_0(X2))
| ~ v1_funct_1(X3)
| ~ m1_subset_1(X4,u1_struct_0(X2))
| m1_subset_1(sK309(X0,X1,X2,X3,X4),X0)
| r3_lattices(X2,k2_lattice2(X0,X2,X1,X3),X4) ),
inference(cnf_transformation,[],[f9752]) ).
fof(f12174,plain,
! [X2,X3,X0,X1,X4] :
( v1_xboole_0(X0)
| ~ m1_subset_1(X1,k5_finsub_1(X0))
| ~ l3_lattices(X2)
| ~ v13_lattices(X2)
| ~ v10_lattices(X2)
| v3_struct_0(X2)
| ~ m2_relset_1(X3,X0,u1_struct_0(X2))
| ~ v1_funct_2(X3,X0,u1_struct_0(X2))
| ~ v1_funct_1(X3)
| ~ m1_subset_1(X4,u1_struct_0(X2))
| r2_hidden(sK309(X0,X1,X2,X3,X4),X1)
| r3_lattices(X2,k2_lattice2(X0,X2,X1,X3),X4) ),
inference(cnf_transformation,[],[f9752]) ).
fof(f12175,plain,
! [X2,X3,X0,X1,X4] :
( v1_xboole_0(X0)
| ~ m1_subset_1(X1,k5_finsub_1(X0))
| ~ l3_lattices(X2)
| ~ v13_lattices(X2)
| ~ v10_lattices(X2)
| v3_struct_0(X2)
| ~ m2_relset_1(X3,X0,u1_struct_0(X2))
| ~ v1_funct_2(X3,X0,u1_struct_0(X2))
| ~ v1_funct_1(X3)
| ~ m1_subset_1(X4,u1_struct_0(X2))
| ~ r3_lattices(X2,k8_funct_2(X0,u1_struct_0(X2),X3,sK309(X0,X1,X2,X3,X4)),X4)
| r3_lattices(X2,k2_lattice2(X0,X2,X1,X3),X4) ),
inference(cnf_transformation,[],[f9752]) ).
fof(f12176,plain,
! [X2,X3,X0,X1,X4] :
( v1_xboole_0(X0)
| ~ m1_subset_1(X1,k5_finsub_1(X0))
| ~ l3_lattices(X2)
| ~ v13_lattices(X2)
| ~ v10_lattices(X2)
| v3_struct_0(X2)
| ~ m2_relset_1(X3,X0,u1_struct_0(X2))
| ~ v1_funct_2(X3,X0,u1_struct_0(X2))
| ~ v1_funct_1(X3)
| ~ m2_relset_1(X4,X0,u1_struct_0(X2))
| ~ v1_funct_2(X4,X0,u1_struct_0(X2))
| ~ v1_funct_1(X4)
| k2_partfun1(X0,u1_struct_0(X2),X3,X1) != k2_partfun1(X0,u1_struct_0(X2),X4,X1)
| k2_lattice2(X0,X2,X1,X3) = k2_lattice2(X0,X2,X1,X4) ),
inference(cnf_transformation,[],[f7827]) ).
fof(f12177,plain,
! [X2,X3,X0,X1,X4] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| v1_xboole_0(X1)
| ~ m1_subset_1(X2,k5_finsub_1(X1))
| ~ m2_relset_1(X3,X1,u1_struct_0(X0))
| ~ v1_funct_2(X3,X1,u1_struct_0(X0))
| ~ v1_funct_1(X3)
| ~ m2_relset_1(X4,X1,u1_struct_0(X0))
| ~ v1_funct_2(X4,X1,u1_struct_0(X0))
| ~ v1_funct_1(X4)
| k2_partfun1(X1,u1_struct_0(X0),X3,X2) != k2_partfun1(X1,u1_struct_0(X0),X4,X2)
| k2_lattice2(X1,X0,X2,X3) = k2_lattice2(X1,X0,X2,X4)
| k1_xboole_0 = X2 ),
inference(cnf_transformation,[],[f7829]) ).
fof(f12178,plain,
! [X2,X3,X0,X1,X4] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| v1_xboole_0(X1)
| ~ m1_subset_1(X2,k5_finsub_1(X1))
| ~ m2_relset_1(X3,X1,u1_struct_0(X0))
| ~ v1_funct_2(X3,X1,u1_struct_0(X0))
| ~ v1_funct_1(X3)
| ~ m2_relset_1(X4,X1,u1_struct_0(X0))
| ~ v1_funct_2(X4,X1,u1_struct_0(X0))
| ~ v1_funct_1(X4)
| m1_subset_1(sK310(X0,X1,X2,X3,X4),X1)
| r3_lattices(X0,k2_lattice2(X1,X0,X2,X3),k2_lattice2(X1,X0,X2,X4))
| k1_xboole_0 = X2 ),
inference(cnf_transformation,[],[f9753]) ).
fof(f12179,plain,
! [X2,X3,X0,X1,X4] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| v1_xboole_0(X1)
| ~ m1_subset_1(X2,k5_finsub_1(X1))
| ~ m2_relset_1(X3,X1,u1_struct_0(X0))
| ~ v1_funct_2(X3,X1,u1_struct_0(X0))
| ~ v1_funct_1(X3)
| ~ m2_relset_1(X4,X1,u1_struct_0(X0))
| ~ v1_funct_2(X4,X1,u1_struct_0(X0))
| ~ v1_funct_1(X4)
| r2_hidden(sK310(X0,X1,X2,X3,X4),X2)
| r3_lattices(X0,k2_lattice2(X1,X0,X2,X3),k2_lattice2(X1,X0,X2,X4))
| k1_xboole_0 = X2 ),
inference(cnf_transformation,[],[f9753]) ).
fof(f12180,plain,
! [X2,X3,X0,X1,X4] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| v1_xboole_0(X1)
| ~ m1_subset_1(X2,k5_finsub_1(X1))
| ~ m2_relset_1(X3,X1,u1_struct_0(X0))
| ~ v1_funct_2(X3,X1,u1_struct_0(X0))
| ~ v1_funct_1(X3)
| ~ m2_relset_1(X4,X1,u1_struct_0(X0))
| ~ v1_funct_2(X4,X1,u1_struct_0(X0))
| ~ v1_funct_1(X4)
| ~ r3_lattices(X0,k8_funct_2(X1,u1_struct_0(X0),X3,sK310(X0,X1,X2,X3,X4)),k8_funct_2(X1,u1_struct_0(X0),X4,sK310(X0,X1,X2,X3,X4)))
| r3_lattices(X0,k2_lattice2(X1,X0,X2,X3),k2_lattice2(X1,X0,X2,X4))
| k1_xboole_0 = X2 ),
inference(cnf_transformation,[],[f9753]) ).
fof(f12181,plain,
! [X2,X3,X0,X1,X4] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| v1_xboole_0(X2)
| ~ m1_subset_1(X3,k5_finsub_1(X2))
| ~ m2_relset_1(X4,X2,u1_struct_0(X0))
| ~ v1_funct_2(X4,X2,u1_struct_0(X0))
| ~ v1_funct_1(X4)
| m1_subset_1(sK311(X0,X1,X2,X3,X4),X2)
| r3_lattices(X0,k2_lattice2(X2,X0,X3,X4),X1)
| k1_xboole_0 = X3 ),
inference(cnf_transformation,[],[f9754]) ).
fof(f12182,plain,
! [X2,X3,X0,X1,X4] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| v1_xboole_0(X2)
| ~ m1_subset_1(X3,k5_finsub_1(X2))
| ~ m2_relset_1(X4,X2,u1_struct_0(X0))
| ~ v1_funct_2(X4,X2,u1_struct_0(X0))
| ~ v1_funct_1(X4)
| r2_hidden(sK311(X0,X1,X2,X3,X4),X3)
| r3_lattices(X0,k2_lattice2(X2,X0,X3,X4),X1)
| k1_xboole_0 = X3 ),
inference(cnf_transformation,[],[f9754]) ).
fof(f12183,plain,
! [X2,X3,X0,X1,X4] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| v1_xboole_0(X2)
| ~ m1_subset_1(X3,k5_finsub_1(X2))
| ~ m2_relset_1(X4,X2,u1_struct_0(X0))
| ~ v1_funct_2(X4,X2,u1_struct_0(X0))
| ~ v1_funct_1(X4)
| ~ r3_lattices(X0,k8_funct_2(X2,u1_struct_0(X0),X4,sK311(X0,X1,X2,X3,X4)),X1)
| r3_lattices(X0,k2_lattice2(X2,X0,X3,X4),X1)
| k1_xboole_0 = X3 ),
inference(cnf_transformation,[],[f9754]) ).
fof(f12184,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| v1_xboole_0(X2)
| ~ m1_subset_1(X3,k5_finsub_1(X2))
| ~ m2_relset_1(X4,X2,u1_struct_0(X0))
| ~ v1_funct_2(X4,X2,u1_struct_0(X0))
| ~ v1_funct_1(X4)
| ~ r3_lattices(X0,k2_lattice2(X2,X0,X3,X4),X1)
| ~ m1_subset_1(X5,X2)
| ~ r2_hidden(X5,X3)
| r3_lattices(X0,k8_funct_2(X2,u1_struct_0(X0),X4,X5),X1) ),
inference(cnf_transformation,[],[f7835]) ).
fof(f12185,plain,
! [X2,X3,X0,X1,X4] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| v1_xboole_0(X2)
| ~ m1_subset_1(X3,k5_finsub_1(X2))
| ~ m2_relset_1(X4,X2,u1_struct_0(X0))
| ~ v1_funct_2(X4,X2,u1_struct_0(X0))
| ~ v1_funct_1(X4)
| m1_subset_1(sK312(X0,X1,X2,X3,X4),X2)
| k2_lattice2(X2,X0,X3,X4) = X1
| k1_xboole_0 = X3 ),
inference(cnf_transformation,[],[f9755]) ).
fof(f12186,plain,
! [X2,X3,X0,X1,X4] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| v1_xboole_0(X2)
| ~ m1_subset_1(X3,k5_finsub_1(X2))
| ~ m2_relset_1(X4,X2,u1_struct_0(X0))
| ~ v1_funct_2(X4,X2,u1_struct_0(X0))
| ~ v1_funct_1(X4)
| r2_hidden(sK312(X0,X1,X2,X3,X4),X3)
| k2_lattice2(X2,X0,X3,X4) = X1
| k1_xboole_0 = X3 ),
inference(cnf_transformation,[],[f9755]) ).
fof(f12187,plain,
! [X2,X3,X0,X1,X4] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| v1_xboole_0(X2)
| ~ m1_subset_1(X3,k5_finsub_1(X2))
| ~ m2_relset_1(X4,X2,u1_struct_0(X0))
| ~ v1_funct_2(X4,X2,u1_struct_0(X0))
| ~ v1_funct_1(X4)
| k8_funct_2(X2,u1_struct_0(X0),X4,sK312(X0,X1,X2,X3,X4)) != X1
| k2_lattice2(X2,X0,X3,X4) = X1
| k1_xboole_0 = X3 ),
inference(cnf_transformation,[],[f9755]) ).
fof(f12188,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| v1_xboole_0(X2)
| ~ m1_subset_1(X3,k5_finsub_1(X2))
| ~ m2_relset_1(X4,X2,u1_struct_0(X0))
| ~ v1_funct_2(X4,X2,u1_struct_0(X0))
| ~ v1_funct_1(X4)
| ~ r3_lattices(X0,X1,k8_funct_2(X2,u1_struct_0(X0),X4,X5))
| ~ r2_hidden(X5,X3)
| ~ m1_subset_1(X5,X2)
| r3_lattices(X0,X1,k2_lattice2(X2,X0,X3,X4)) ),
inference(cnf_transformation,[],[f7839]) ).
fof(f12189,plain,
! [X2,X3,X0,X1,X4] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| v1_xboole_0(X1)
| ~ m1_subset_1(X2,X1)
| ~ m1_subset_1(X3,k5_finsub_1(X1))
| ~ m2_relset_1(X4,X1,u1_struct_0(X0))
| ~ v1_funct_2(X4,X1,u1_struct_0(X0))
| ~ v1_funct_1(X4)
| ~ r2_hidden(X2,X3)
| r3_lattices(X0,k8_funct_2(X1,u1_struct_0(X0),X4,X2),k2_lattice2(X1,X0,X3,X4)) ),
inference(cnf_transformation,[],[f7841]) ).
fof(f12190,plain,
! [X2,X3,X0,X1] :
( v1_xboole_0(X0)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ~ m1_subset_1(X2,k5_finsub_1(X0))
| ~ m2_relset_1(X3,X0,u1_struct_0(X1))
| ~ v1_funct_2(X3,X0,u1_struct_0(X1))
| ~ v1_funct_1(X3)
| k2_lattice2(X0,X1,X2,X3) = k7_setwiseo(X0,u1_struct_0(X1),u2_lattices(X1),X2,X3) ),
inference(cnf_transformation,[],[f7843]) ).
fof(f12191,plain,
! [X0] :
( ~ l1_struct_0(X0)
| ~ v3_realset2(X0)
| v1_realset1(u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f9756]) ).
fof(f12192,plain,
! [X0] :
( ~ l1_struct_0(X0)
| ~ v1_realset1(u1_struct_0(X0))
| v3_realset2(X0) ),
inference(cnf_transformation,[],[f9756]) ).
fof(f12193,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,X0)
| v1_realset1(X0)
| k1_tarski(X1) = k5_realset1(X0,X1) ),
inference(cnf_transformation,[],[f7846]) ).
fof(f12195,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| m1_subset_1(sK313(X0,X1),X0)
| v1_realset1(X1) ),
inference(cnf_transformation,[],[f9757]) ).
fof(f12196,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| m1_subset_1(sK314(X0,X1),X0)
| v1_realset1(X1) ),
inference(cnf_transformation,[],[f9757]) ).
fof(f12197,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| sK313(X0,X1) != sK314(X0,X1)
| v1_realset1(X1) ),
inference(cnf_transformation,[],[f9757]) ).
fof(f12198,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| r2_hidden(sK314(X0,X1),X1)
| v1_realset1(X1) ),
inference(cnf_transformation,[],[f9757]) ).
fof(f12199,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| r2_hidden(sK313(X0,X1),X1)
| v1_realset1(X1) ),
inference(cnf_transformation,[],[f9757]) ).
fof(f12200,plain,
! [X3,X0,X4] :
( ~ v1_realset1(X0)
| X3 = X4
| ~ r2_hidden(X4,X0)
| ~ r2_hidden(X3,X0) ),
inference(cnf_transformation,[],[f9758]) ).
fof(f12201,plain,
! [X0] :
( sK315(X0) != sK316(X0)
| v1_realset1(X0) ),
inference(cnf_transformation,[],[f9758]) ).
fof(f12202,plain,
! [X0] :
( r2_hidden(sK316(X0),X0)
| v1_realset1(X0) ),
inference(cnf_transformation,[],[f9758]) ).
fof(f12203,plain,
! [X0] :
( r2_hidden(sK315(X0),X0)
| v1_realset1(X0) ),
inference(cnf_transformation,[],[f9758]) ).
fof(f12204,plain,
! [X0] :
( v1_xboole_0(X0)
| m1_subset_1(sK317(X0),X0)
| ~ v1_realset1(X0) ),
inference(cnf_transformation,[],[f9759]) ).
fof(f12205,plain,
! [X0] :
( v1_xboole_0(X0)
| v1_xboole_0(k4_xboole_0(X0,k1_tarski(sK317(X0))))
| ~ v1_realset1(X0) ),
inference(cnf_transformation,[],[f9759]) ).
fof(f12206,plain,
! [X0] :
( v1_xboole_0(X0)
| ~ v1_realset1(X0)
| m1_subset_1(sK318(X0),X0) ),
inference(cnf_transformation,[],[f9760]) ).
fof(f12207,plain,
! [X0] :
( v1_xboole_0(X0)
| ~ v1_realset1(X0)
| v1_xboole_0(k4_xboole_0(X0,k1_tarski(sK318(X0)))) ),
inference(cnf_transformation,[],[f9760]) ).
fof(f12208,plain,
! [X2,X0] :
( v1_xboole_0(X0)
| v1_realset1(X0)
| ~ v1_xboole_0(k4_xboole_0(X0,k1_tarski(X2))) ),
inference(cnf_transformation,[],[f9763]) ).
fof(f12209,plain,
! [X0] :
( v1_xboole_0(X0)
| v1_xboole_0(k4_xboole_0(X0,k1_tarski(sK319(X0))))
| ~ v1_realset1(X0) ),
inference(cnf_transformation,[],[f9763]) ).
fof(f12210,plain,
! [X0] :
( ~ v1_realset1(X0)
| k1_tarski(sK320(X0)) = X0
| v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f9767]) ).
fof(f12211,plain,
! [X0,X1] :
( k1_tarski(X1) != X0
| v1_realset1(X0) ),
inference(cnf_transformation,[],[f9767]) ).
fof(f12216,plain,
! [X0] :
( v1_realset1(X0)
| ~ v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f7856]) ).
fof(f12217,plain,
~ v1_realset1(sK321),
inference(cnf_transformation,[],[f9768]) ).
fof(f12218,plain,
~ v1_xboole_0(sK321),
inference(cnf_transformation,[],[f9768]) ).
fof(f12219,plain,
v1_realset1(sK322),
inference(cnf_transformation,[],[f9769]) ).
fof(f12220,plain,
~ v1_xboole_0(sK322),
inference(cnf_transformation,[],[f9769]) ).
fof(f12221,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,X0)
| m3_realset1(sK323(X0,X1),X0,X1) ),
inference(cnf_transformation,[],[f9770]) ).
fof(f12222,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X1,X0)
| ~ m3_realset1(X2,X0,X1)
| m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0) ),
inference(cnf_transformation,[],[f7858]) ).
fof(f12223,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X1,X0)
| ~ m3_realset1(X2,X0,X1)
| v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0) ),
inference(cnf_transformation,[],[f7858]) ).
fof(f12224,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X1,X0)
| ~ m3_realset1(X2,X0,X1)
| v1_funct_1(X2) ),
inference(cnf_transformation,[],[f7858]) ).
fof(f12225,plain,
! [X2,X0,X1,X4] :
( ~ m1_subset_1(X1,X0)
| ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ m3_realset1(X2,X0,X1)
| ~ r2_hidden(X4,k2_zfmisc_1(k4_xboole_0(X0,k1_tarski(X1)),k4_xboole_0(X0,k1_tarski(X1))))
| r2_hidden(k1_funct_1(X2,X4),k4_xboole_0(X0,k1_tarski(X1))) ),
inference(cnf_transformation,[],[f9773]) ).
fof(f12226,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X1,X0)
| ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| r2_hidden(sK324(X0,X1,X2),k2_zfmisc_1(k4_xboole_0(X0,k1_tarski(X1)),k4_xboole_0(X0,k1_tarski(X1))))
| m3_realset1(X2,X0,X1) ),
inference(cnf_transformation,[],[f9773]) ).
fof(f12227,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X1,X0)
| ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ r2_hidden(k1_funct_1(X2,sK324(X0,X1,X2)),k4_xboole_0(X0,k1_tarski(X1)))
| m3_realset1(X2,X0,X1) ),
inference(cnf_transformation,[],[f9773]) ).
fof(f12228,plain,
! [X0,X1] :
( ~ v1_finset_1(X1)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| v1_finset_1(k7_relat_1(X0,X1)) ),
inference(cnf_transformation,[],[f7862]) ).
fof(f12231,plain,
! [X2,X3,X0,X1,X4,X5] :
( v1_xboole_0(X0)
| v1_xboole_0(X1)
| ~ m2_relset_1(X2,X0,X1)
| ~ v1_funct_2(X2,X0,X1)
| ~ v1_funct_1(X2)
| ~ m2_relset_1(X3,X0,X1)
| ~ v1_funct_2(X3,X0,X1)
| ~ v1_funct_1(X3)
| k7_relat_1(X2,X4) != k7_relat_1(X3,X4)
| ~ m1_subset_1(X5,X0)
| ~ r2_hidden(X5,X4)
| k8_funct_2(X0,X1,X3,X5) = k8_funct_2(X0,X1,X2,X5) ),
inference(cnf_transformation,[],[f7864]) ).
fof(f12232,plain,
! [X0,X1] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| k5_relat_1(X1,X0) = k5_relat_1(X1,k7_relat_1(X0,k2_relat_1(X1))) ),
inference(cnf_transformation,[],[f7866]) ).
fof(f12233,plain,
! [X2,X0,X1] :
( ~ v1_relat_1(X2)
| k10_relat_1(k7_relat_1(X2,X0),X1) = k3_xboole_0(X0,k10_relat_1(X2,X1)) ),
inference(cnf_transformation,[],[f7867]) ).
fof(f12234,plain,
! [X0,X1] :
( ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ~ v2_funct_1(X1)
| v2_funct_1(k7_relat_1(X1,X0)) ),
inference(cnf_transformation,[],[f7869]) ).
fof(f12239,plain,
! [X2,X0,X1] :
( ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| ~ r2_hidden(X1,X0)
| ~ r2_hidden(X1,k1_relat_1(X2))
| r2_hidden(k1_funct_1(X2,X1),k2_relat_1(k7_relat_1(X2,X0))) ),
inference(cnf_transformation,[],[f7875]) ).
fof(f12240,plain,
! [X2,X0,X1] :
( ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| ~ r2_hidden(X1,X0)
| k1_funct_1(X2,X1) = k1_funct_1(k7_relat_1(X2,X0),X1) ),
inference(cnf_transformation,[],[f7877]) ).
fof(f12241,plain,
! [X2,X0,X1] :
( ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| ~ r2_hidden(X1,k3_xboole_0(k1_relat_1(X2),X0))
| k1_funct_1(X2,X1) = k1_funct_1(k7_relat_1(X2,X0),X1) ),
inference(cnf_transformation,[],[f7879]) ).
fof(f12242,plain,
! [X2,X0,X1] :
( ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| ~ r2_hidden(X1,k1_relat_1(k7_relat_1(X2,X0)))
| k1_funct_1(X2,X1) = k1_funct_1(k7_relat_1(X2,X0),X1) ),
inference(cnf_transformation,[],[f7881]) ).
fof(f12245,plain,
! [X2,X0,X1] :
( ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| r2_hidden(sK325(X1,X2),k1_relat_1(X1))
| k1_relat_1(X1) != k3_xboole_0(k1_relat_1(X2),X0)
| k7_relat_1(X2,X0) = X1 ),
inference(cnf_transformation,[],[f9777]) ).
fof(f12246,plain,
! [X2,X0,X1] :
( ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| k1_funct_1(X1,sK325(X1,X2)) != k1_funct_1(X2,sK325(X1,X2))
| k1_relat_1(X1) != k3_xboole_0(k1_relat_1(X2),X0)
| k7_relat_1(X2,X0) = X1 ),
inference(cnf_transformation,[],[f9777]) ).
fof(f12247,plain,
! [X0,X1] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| v1_funct_1(k7_relat_1(X0,X1)) ),
inference(cnf_transformation,[],[f7885]) ).
fof(f12249,plain,
! [X0,X1] :
( ~ v1_relat_1(X0)
| v1_relat_1(k7_relat_1(X0,X1)) ),
inference(cnf_transformation,[],[f7886]) ).
fof(f12250,plain,
! [X0,X1] :
( ~ v1_relat_1(X0)
| ~ v1_relat_1(X1)
| k7_relat_1(X0,k1_relat_1(X1)) = k7_relat_1(X0,k1_relat_1(k7_relat_1(X1,k1_relat_1(X0)))) ),
inference(cnf_transformation,[],[f7887]) ).
fof(f12251,plain,
! [X2,X3,X0,X1] :
( ~ v1_relat_1(X0)
| ~ v1_relat_1(X1)
| k7_relat_1(X0,X3) != k7_relat_1(X1,X3)
| ~ r1_tarski(X2,X3)
| k7_relat_1(X0,X2) = k7_relat_1(X1,X2) ),
inference(cnf_transformation,[],[f7889]) ).
fof(f12252,plain,
! [X0,X1] :
( ~ v1_relat_1(X0)
| ~ r1_xboole_0(X1,k1_relat_1(X0))
| k1_xboole_0 = k7_relat_1(X0,X1) ),
inference(cnf_transformation,[],[f7890]) ).
fof(f12253,plain,
! [X2,X0,X1] :
( ~ v1_relat_1(X1)
| ~ v1_relat_1(X2)
| ~ r1_tarski(X2,X1)
| ~ r1_tarski(k1_relat_1(X2),X0)
| r1_tarski(X2,k7_relat_1(X1,X0)) ),
inference(cnf_transformation,[],[f7892]) ).
fof(f12254,plain,
! [X2,X3,X0,X1] :
( ~ v1_relat_1(X0)
| ~ v1_relat_1(X1)
| k7_relat_1(X0,X3) != k7_relat_1(X1,X3)
| k7_relat_1(X0,X2) != k7_relat_1(X1,X2)
| k7_relat_1(X0,k2_xboole_0(X2,X3)) = k7_relat_1(X1,k2_xboole_0(X2,X3)) ),
inference(cnf_transformation,[],[f7894]) ).
fof(f12255,plain,
! [X2,X0,X1] :
( ~ v1_relat_1(X2)
| r1_tarski(k9_relat_1(k7_relat_1(X2,X0),X1),k9_relat_1(X2,X1)) ),
inference(cnf_transformation,[],[f7895]) ).
fof(f12256,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| k2_relat_1(k7_relat_1(X1,X0)) = k9_relat_1(X1,X0) ),
inference(cnf_transformation,[],[f7896]) ).
fof(f12257,plain,
! [X2,X0,X1] :
( ~ v1_relat_1(X1)
| ~ v1_relat_1(X2)
| k5_relat_1(k7_relat_1(X1,X0),X2) = k7_relat_1(k5_relat_1(X1,X2),X0) ),
inference(cnf_transformation,[],[f7897]) ).
fof(f12258,plain,
! [X0] : k1_xboole_0 = k7_relat_1(k1_xboole_0,X0),
inference(cnf_transformation,[],[f818]) ).
fof(f12259,plain,
! [X0] :
( ~ v1_relat_1(X0)
| k1_xboole_0 = k7_relat_1(X0,k1_xboole_0) ),
inference(cnf_transformation,[],[f7898]) ).
fof(f12260,plain,
! [X2,X0,X1] :
( ~ v1_relat_1(X2)
| k7_relat_1(X2,k4_xboole_0(X0,X1)) = k4_xboole_0(k7_relat_1(X2,X0),k7_relat_1(X2,X1)) ),
inference(cnf_transformation,[],[f7899]) ).
fof(f12261,plain,
! [X2,X0,X1] :
( ~ v1_relat_1(X2)
| k7_relat_1(X2,k3_xboole_0(X0,X1)) = k3_xboole_0(k7_relat_1(X2,X0),k7_relat_1(X2,X1)) ),
inference(cnf_transformation,[],[f7900]) ).
fof(f12262,plain,
! [X2,X0,X1] :
( ~ v1_relat_1(X2)
| k7_relat_1(X2,k2_xboole_0(X0,X1)) = k2_xboole_0(k7_relat_1(X2,X0),k7_relat_1(X2,X1)) ),
inference(cnf_transformation,[],[f7901]) ).
fof(f12263,plain,
! [X2,X3,X0,X1] :
( ~ v1_relat_1(X2)
| ~ v1_relat_1(X3)
| ~ r1_tarski(X0,X1)
| ~ r1_tarski(X2,X3)
| r1_tarski(k7_relat_1(X2,X0),k7_relat_1(X3,X1)) ),
inference(cnf_transformation,[],[f7903]) ).
fof(f12264,plain,
! [X2,X0,X1] :
( ~ v1_relat_1(X1)
| ~ v1_relat_1(X2)
| ~ r1_tarski(X1,X2)
| r1_tarski(k7_relat_1(X1,X0),k7_relat_1(X2,X0)) ),
inference(cnf_transformation,[],[f7905]) ).
fof(f12265,plain,
! [X2,X0,X1] :
( ~ v1_relat_1(X2)
| ~ r1_tarski(X0,X1)
| r1_tarski(k7_relat_1(X2,X0),k7_relat_1(X2,X1)) ),
inference(cnf_transformation,[],[f7907]) ).
fof(f12266,plain,
! [X2,X0,X1] :
( ~ v1_relat_1(X2)
| ~ r1_tarski(X0,X1)
| k7_relat_1(X2,X0) = k7_relat_1(k7_relat_1(X2,X1),X0) ),
inference(cnf_transformation,[],[f7909]) ).
fof(f12267,plain,
! [X2,X0,X1] :
( ~ v1_relat_1(X2)
| ~ r1_tarski(X0,X1)
| k7_relat_1(X2,X0) = k7_relat_1(k7_relat_1(X2,X0),X1) ),
inference(cnf_transformation,[],[f7911]) ).
fof(f12268,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| k7_relat_1(X1,X0) = k7_relat_1(k7_relat_1(X1,X0),X0) ),
inference(cnf_transformation,[],[f7912]) ).
fof(f12269,plain,
! [X2,X0,X1] :
( ~ v1_relat_1(X2)
| k7_relat_1(k7_relat_1(X2,X0),X1) = k7_relat_1(X2,k3_xboole_0(X0,X1)) ),
inference(cnf_transformation,[],[f7913]) ).
fof(f12270,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| r1_tarski(k2_relat_1(k7_relat_1(X1,X0)),k2_relat_1(X1)) ),
inference(cnf_transformation,[],[f7914]) ).
fof(f12271,plain,
! [X0] :
( ~ v1_relat_1(X0)
| k7_relat_1(X0,k1_relat_1(X0)) = X0 ),
inference(cnf_transformation,[],[f7915]) ).
fof(f12272,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| ~ r1_tarski(k1_relat_1(X1),X0)
| k7_relat_1(X1,X0) = X1 ),
inference(cnf_transformation,[],[f7917]) ).
fof(f12273,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| k7_relat_1(X1,X0) = k3_xboole_0(X1,k2_zfmisc_1(X0,k2_relat_1(X1))) ),
inference(cnf_transformation,[],[f7918]) ).
fof(f12274,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| k1_xboole_0 != k7_relat_1(X1,X0)
| r1_xboole_0(k1_relat_1(X1),X0) ),
inference(cnf_transformation,[],[f9778]) ).
fof(f12275,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| ~ r1_xboole_0(k1_relat_1(X1),X0)
| k1_xboole_0 = k7_relat_1(X1,X0) ),
inference(cnf_transformation,[],[f9778]) ).
fof(f12276,plain,
! [X2,X0,X1] :
( ~ v1_relat_1(X1)
| ~ v1_relat_1(X2)
| r1_tarski(k5_relat_1(X1,k7_relat_1(X2,X0)),k5_relat_1(X1,X2)) ),
inference(cnf_transformation,[],[f7920]) ).
fof(f12277,plain,
! [X2,X0,X1] :
( ~ v1_relat_1(X1)
| ~ v1_relat_1(X2)
| r1_tarski(k5_relat_1(k7_relat_1(X1,X0),X2),k5_relat_1(X1,X2)) ),
inference(cnf_transformation,[],[f7921]) ).
fof(f12278,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| ~ r1_tarski(X0,k1_relat_1(X1))
| k1_relat_1(k7_relat_1(X1,X0)) = X0 ),
inference(cnf_transformation,[],[f7923]) ).
fof(f12279,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| k1_relat_1(k7_relat_1(X1,X0)) = k3_xboole_0(k1_relat_1(X1),X0) ),
inference(cnf_transformation,[],[f7924]) ).
fof(f12280,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| r1_tarski(k1_relat_1(k7_relat_1(X1,X0)),k1_relat_1(X1)) ),
inference(cnf_transformation,[],[f7925]) ).
fof(f12281,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| r1_tarski(k7_relat_1(X1,X0),X1) ),
inference(cnf_transformation,[],[f7926]) ).
fof(f12282,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| r1_tarski(k1_relat_1(k7_relat_1(X1,X0)),X0) ),
inference(cnf_transformation,[],[f7927]) ).
fof(f12283,plain,
! [X2,X0,X1] :
( ~ v1_relat_1(X2)
| ~ r2_hidden(X0,k1_relat_1(k7_relat_1(X2,X1)))
| r2_hidden(X0,k1_relat_1(X2)) ),
inference(cnf_transformation,[],[f9780]) ).
fof(f12284,plain,
! [X2,X0,X1] :
( ~ v1_relat_1(X2)
| ~ r2_hidden(X0,k1_relat_1(k7_relat_1(X2,X1)))
| r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f9780]) ).
fof(f12285,plain,
! [X2,X0,X1] :
( ~ v1_relat_1(X2)
| ~ r2_hidden(X0,k1_relat_1(X2))
| ~ r2_hidden(X0,X1)
| r2_hidden(X0,k1_relat_1(k7_relat_1(X2,X1))) ),
inference(cnf_transformation,[],[f9780]) ).
fof(f12286,plain,
! [X2,X0,X1,X6,X5] :
( ~ v1_relat_1(X0)
| ~ v1_relat_1(X2)
| k7_relat_1(X0,X1) != X2
| ~ r2_hidden(k4_tarski(X5,X6),X2)
| r2_hidden(k4_tarski(X5,X6),X0) ),
inference(cnf_transformation,[],[f9784]) ).
fof(f12287,plain,
! [X2,X0,X1,X6,X5] :
( ~ v1_relat_1(X0)
| ~ v1_relat_1(X2)
| k7_relat_1(X0,X1) != X2
| ~ r2_hidden(k4_tarski(X5,X6),X2)
| r2_hidden(X5,X1) ),
inference(cnf_transformation,[],[f9784]) ).
fof(f12288,plain,
! [X2,X0,X1,X6,X5] :
( ~ v1_relat_1(X0)
| ~ v1_relat_1(X2)
| k7_relat_1(X0,X1) != X2
| ~ r2_hidden(k4_tarski(X5,X6),X0)
| ~ r2_hidden(X5,X1)
| r2_hidden(k4_tarski(X5,X6),X2) ),
inference(cnf_transformation,[],[f9784]) ).
fof(f12289,plain,
! [X2,X0,X1] :
( ~ v1_relat_1(X0)
| ~ v1_relat_1(X2)
| r2_hidden(k4_tarski(sK326(X0,X1,X2),sK327(X0,X1,X2)),X2)
| r2_hidden(k4_tarski(sK326(X0,X1,X2),sK327(X0,X1,X2)),X0)
| k7_relat_1(X0,X1) = X2 ),
inference(cnf_transformation,[],[f9784]) ).
fof(f12290,plain,
! [X2,X0,X1] :
( ~ v1_relat_1(X0)
| ~ v1_relat_1(X2)
| r2_hidden(k4_tarski(sK326(X0,X1,X2),sK327(X0,X1,X2)),X2)
| r2_hidden(sK326(X0,X1,X2),X1)
| k7_relat_1(X0,X1) = X2 ),
inference(cnf_transformation,[],[f9784]) ).
fof(f12291,plain,
! [X2,X0,X1] :
( ~ v1_relat_1(X0)
| ~ v1_relat_1(X2)
| ~ r2_hidden(k4_tarski(sK326(X0,X1,X2),sK327(X0,X1,X2)),X2)
| ~ r2_hidden(k4_tarski(sK326(X0,X1,X2),sK327(X0,X1,X2)),X0)
| ~ r2_hidden(sK326(X0,X1,X2),X1)
| k7_relat_1(X0,X1) = X2 ),
inference(cnf_transformation,[],[f9784]) ).
fof(f12292,plain,
! [X0] :
( ~ m1_relset_1(X0,k2_zfmisc_1(k1_xboole_0,k1_xboole_0),k1_xboole_0)
| ~ v1_funct_2(X0,k2_zfmisc_1(k1_xboole_0,k1_xboole_0),k1_xboole_0)
| ~ v1_funct_1(X0)
| v2_binop_1(X0,k1_xboole_0) ),
inference(cnf_transformation,[],[f7931]) ).
fof(f12293,plain,
! [X0] :
( ~ m1_relset_1(X0,k2_zfmisc_1(k1_xboole_0,k1_xboole_0),k1_xboole_0)
| ~ v1_funct_2(X0,k2_zfmisc_1(k1_xboole_0,k1_xboole_0),k1_xboole_0)
| ~ v1_funct_1(X0)
| v1_binop_1(X0,k1_xboole_0) ),
inference(cnf_transformation,[],[f7931]) ).
fof(f12295,plain,
! [X0] :
( ~ m1_relset_1(X0,k2_zfmisc_1(k1_xboole_0,k1_xboole_0),k1_xboole_0)
| ~ v1_funct_2(X0,k2_zfmisc_1(k1_xboole_0,k1_xboole_0),k1_xboole_0)
| ~ v1_funct_1(X0)
| v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f7931]) ).
fof(f12297,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( v1_xboole_0(X0)
| v1_xboole_0(X1)
| ~ m2_relset_1(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X2)
| ~ v3_binop_1(X2,X1)
| ~ v2_binop_1(X2,X1)
| ~ v1_binop_1(X2,X1)
| v1_xboole_0(X3)
| ~ m2_relset_1(X4,k2_zfmisc_1(X3,X3),X3)
| ~ v1_funct_2(X4,k2_zfmisc_1(X3,X3),X3)
| ~ v1_funct_1(X4)
| ~ v3_binop_1(X4,X3)
| ~ v2_binop_1(X4,X3)
| ~ v1_binop_1(X4,X3)
| ~ m2_relset_1(X5,X0,X1)
| ~ v1_funct_2(X5,X0,X1)
| ~ v1_funct_1(X5)
| ~ m2_relset_1(X6,X1,X3)
| ~ v1_funct_2(X6,X1,X3)
| ~ v1_funct_1(X6)
| m1_subset_1(sK328(X1,X2,X3,X4,X6),X1)
| ~ m1_subset_1(X7,k5_finsub_1(X0))
| k1_xboole_0 = X7
| k8_funct_2(X1,X3,X6,k7_setwiseo(X0,X1,X2,X7,X5)) = k7_setwiseo(X0,X3,X4,X7,k7_funct_2(X0,X1,X3,X5,X6)) ),
inference(cnf_transformation,[],[f9786]) ).
fof(f12298,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( v1_xboole_0(X0)
| v1_xboole_0(X1)
| ~ m2_relset_1(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X2)
| ~ v3_binop_1(X2,X1)
| ~ v2_binop_1(X2,X1)
| ~ v1_binop_1(X2,X1)
| v1_xboole_0(X3)
| ~ m2_relset_1(X4,k2_zfmisc_1(X3,X3),X3)
| ~ v1_funct_2(X4,k2_zfmisc_1(X3,X3),X3)
| ~ v1_funct_1(X4)
| ~ v3_binop_1(X4,X3)
| ~ v2_binop_1(X4,X3)
| ~ v1_binop_1(X4,X3)
| ~ m2_relset_1(X5,X0,X1)
| ~ v1_funct_2(X5,X0,X1)
| ~ v1_funct_1(X5)
| ~ m2_relset_1(X6,X1,X3)
| ~ v1_funct_2(X6,X1,X3)
| ~ v1_funct_1(X6)
| m1_subset_1(sK329(X1,X2,X3,X4,X6),X1)
| ~ m1_subset_1(X7,k5_finsub_1(X0))
| k1_xboole_0 = X7
| k8_funct_2(X1,X3,X6,k7_setwiseo(X0,X1,X2,X7,X5)) = k7_setwiseo(X0,X3,X4,X7,k7_funct_2(X0,X1,X3,X5,X6)) ),
inference(cnf_transformation,[],[f9786]) ).
fof(f12299,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( v1_xboole_0(X0)
| v1_xboole_0(X1)
| ~ m2_relset_1(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X2)
| ~ v3_binop_1(X2,X1)
| ~ v2_binop_1(X2,X1)
| ~ v1_binop_1(X2,X1)
| v1_xboole_0(X3)
| ~ m2_relset_1(X4,k2_zfmisc_1(X3,X3),X3)
| ~ v1_funct_2(X4,k2_zfmisc_1(X3,X3),X3)
| ~ v1_funct_1(X4)
| ~ v3_binop_1(X4,X3)
| ~ v2_binop_1(X4,X3)
| ~ v1_binop_1(X4,X3)
| ~ m2_relset_1(X5,X0,X1)
| ~ v1_funct_2(X5,X0,X1)
| ~ v1_funct_1(X5)
| ~ m2_relset_1(X6,X1,X3)
| ~ v1_funct_2(X6,X1,X3)
| ~ v1_funct_1(X6)
| k8_funct_2(X1,X3,X6,k2_binop_1(X1,X1,X1,X2,sK328(X1,X2,X3,X4,X6),sK329(X1,X2,X3,X4,X6))) != k2_binop_1(X3,X3,X3,X4,k8_funct_2(X1,X3,X6,sK328(X1,X2,X3,X4,X6)),k8_funct_2(X1,X3,X6,sK329(X1,X2,X3,X4,X6)))
| ~ m1_subset_1(X7,k5_finsub_1(X0))
| k1_xboole_0 = X7
| k8_funct_2(X1,X3,X6,k7_setwiseo(X0,X1,X2,X7,X5)) = k7_setwiseo(X0,X3,X4,X7,k7_funct_2(X0,X1,X3,X5,X6)) ),
inference(cnf_transformation,[],[f9786]) ).
fof(f12300,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( v1_xboole_0(X0)
| v1_xboole_0(X1)
| ~ m2_relset_1(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X2)
| ~ v3_binop_1(X2,X1)
| ~ v2_binop_1(X2,X1)
| ~ v1_binop_1(X2,X1)
| ~ m2_relset_1(X3,X0,X1)
| ~ v1_funct_2(X3,X0,X1)
| ~ v1_funct_1(X3)
| ~ m2_relset_1(X4,X0,X1)
| ~ v1_funct_2(X4,X0,X1)
| ~ v1_funct_1(X4)
| ~ m1_subset_1(X5,k5_finsub_1(X0))
| ~ m1_subset_1(X6,k5_finsub_1(X0))
| k2_funct_2(X0,X1,X3,X5) != k2_funct_2(X0,X1,X4,X6)
| k7_setwiseo(X0,X1,X2,X5,X3) = k7_setwiseo(X0,X1,X2,X6,X4)
| k1_xboole_0 = X5 ),
inference(cnf_transformation,[],[f7935]) ).
fof(f12301,plain,
! [X2,X3,X0,X1,X4,X5] :
( v1_xboole_0(X0)
| v1_xboole_0(X1)
| ~ m2_relset_1(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X2)
| ~ m1_subset_1(X3,k5_finsub_1(X0))
| ~ m2_relset_1(X4,X0,X1)
| ~ v1_funct_2(X4,X0,X1)
| ~ v1_funct_1(X4)
| ~ v3_binop_1(X2,X1)
| ~ v2_binop_1(X2,X1)
| ~ v1_binop_1(X2,X1)
| ~ m1_subset_1(X5,X1)
| k2_setwiseo(X1,X5) != k2_funct_2(X0,X1,X4,X3)
| k7_setwiseo(X0,X1,X2,X3,X4) = X5 ),
inference(cnf_transformation,[],[f7937]) ).
fof(f12302,plain,
! [X2,X3,X0,X1,X4,X5] :
( v1_xboole_0(X0)
| v1_xboole_0(X1)
| ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ m1_subset_1(X3,k5_finsub_1(X1))
| ~ m2_relset_1(X4,X1,X0)
| ~ v1_funct_2(X4,X1,X0)
| ~ v1_funct_1(X4)
| ~ v3_binop_1(X2,X0)
| ~ v2_binop_1(X2,X0)
| ~ v1_binop_1(X2,X0)
| ~ m1_subset_1(X5,X0)
| m1_subset_1(sK330(X0,X1,X3,X4,X5),X1)
| k7_setwiseo(X1,X0,X2,X3,X4) = X5
| k1_xboole_0 = X3 ),
inference(cnf_transformation,[],[f9787]) ).
fof(f12303,plain,
! [X2,X3,X0,X1,X4,X5] :
( v1_xboole_0(X0)
| v1_xboole_0(X1)
| ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ m1_subset_1(X3,k5_finsub_1(X1))
| ~ m2_relset_1(X4,X1,X0)
| ~ v1_funct_2(X4,X1,X0)
| ~ v1_funct_1(X4)
| ~ v3_binop_1(X2,X0)
| ~ v2_binop_1(X2,X0)
| ~ v1_binop_1(X2,X0)
| ~ m1_subset_1(X5,X0)
| r2_hidden(sK330(X0,X1,X3,X4,X5),X3)
| k7_setwiseo(X1,X0,X2,X3,X4) = X5
| k1_xboole_0 = X3 ),
inference(cnf_transformation,[],[f9787]) ).
fof(f12304,plain,
! [X2,X3,X0,X1,X4,X5] :
( v1_xboole_0(X0)
| v1_xboole_0(X1)
| ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ m1_subset_1(X3,k5_finsub_1(X1))
| ~ m2_relset_1(X4,X1,X0)
| ~ v1_funct_2(X4,X1,X0)
| ~ v1_funct_1(X4)
| ~ v3_binop_1(X2,X0)
| ~ v2_binop_1(X2,X0)
| ~ v1_binop_1(X2,X0)
| ~ m1_subset_1(X5,X0)
| k8_funct_2(X1,X0,X4,sK330(X0,X1,X3,X4,X5)) != X5
| k7_setwiseo(X1,X0,X2,X3,X4) = X5
| k1_xboole_0 = X3 ),
inference(cnf_transformation,[],[f9787]) ).
fof(f12305,plain,
! [X2,X3,X0,X1,X4,X5] :
( v1_xboole_0(X0)
| v1_xboole_0(X1)
| ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ m2_relset_1(X3,X1,X0)
| ~ v1_funct_2(X3,X1,X0)
| ~ v1_funct_1(X3)
| ~ v3_binop_1(X2,X0)
| ~ v2_binop_1(X2,X0)
| ~ v1_binop_1(X2,X0)
| ~ m1_subset_1(X4,k5_finsub_1(X1))
| ~ m1_subset_1(X5,k5_finsub_1(X1))
| ~ r1_tarski(X4,X5)
| k7_setwiseo(X1,X0,X2,X5,X3) = k2_binop_1(X0,X0,X0,X2,k7_setwiseo(X1,X0,X2,X4,X3),k7_setwiseo(X1,X0,X2,X5,X3))
| k1_xboole_0 = X4 ),
inference(cnf_transformation,[],[f7941]) ).
fof(f12306,plain,
! [X2,X3,X0,X1,X4,X5] :
( v1_xboole_0(X0)
| v1_xboole_0(X1)
| ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ m1_subset_1(X3,k5_finsub_1(X1))
| ~ m2_relset_1(X4,X1,X0)
| ~ v1_funct_2(X4,X1,X0)
| ~ v1_funct_1(X4)
| ~ v3_binop_1(X2,X0)
| ~ v2_binop_1(X2,X0)
| ~ v1_binop_1(X2,X0)
| ~ m1_subset_1(X5,X1)
| ~ r2_hidden(X5,X3)
| k7_setwiseo(X1,X0,X2,X3,X4) = k2_binop_1(X0,X0,X0,X2,k8_funct_2(X1,X0,X4,X5),k7_setwiseo(X1,X0,X2,X3,X4)) ),
inference(cnf_transformation,[],[f7943]) ).
fof(f12307,plain,
! [X2,X3,X0,X1,X4,X5] :
( v1_xboole_0(X0)
| v1_xboole_0(X1)
| ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ m2_relset_1(X3,X1,X0)
| ~ v1_funct_2(X3,X1,X0)
| ~ v1_funct_1(X3)
| ~ v2_binop_1(X2,X0)
| ~ v1_binop_1(X2,X0)
| ~ v3_binop_1(X2,X0)
| ~ m1_subset_1(X4,k5_finsub_1(X1))
| ~ m1_subset_1(X5,k5_finsub_1(X1))
| k7_setwiseo(X1,X0,X2,k5_setwiseo(X1,X4,X5),X3) = k2_binop_1(X0,X0,X0,X2,k7_setwiseo(X1,X0,X2,X4,X3),k7_setwiseo(X1,X0,X2,X5,X3))
| k1_xboole_0 = X5
| k1_xboole_0 = X4 ),
inference(cnf_transformation,[],[f7945]) ).
fof(f12308,plain,
! [X2,X3,X0,X1,X4,X5] :
( v1_xboole_0(X0)
| v1_xboole_0(X1)
| ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ m1_subset_1(X3,k5_finsub_1(X1))
| ~ m2_relset_1(X4,X1,X0)
| ~ v1_funct_2(X4,X1,X0)
| ~ v1_funct_1(X4)
| ~ v2_binop_1(X2,X0)
| ~ v1_binop_1(X2,X0)
| ~ v3_binop_1(X2,X0)
| ~ m1_subset_1(X5,X1)
| k7_setwiseo(X1,X0,X2,k5_setwiseo(X1,X3,k2_setwiseo(X1,X5)),X4) = k2_binop_1(X0,X0,X0,X2,k7_setwiseo(X1,X0,X2,X3,X4),k8_funct_2(X1,X0,X4,X5))
| k1_xboole_0 = X3 ),
inference(cnf_transformation,[],[f7947]) ).
fof(f12309,plain,
! [X3,X0,X1] :
( v1_xboole_0(X0)
| ~ m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| ~ v3_binop_1(X1,X0)
| ~ m1_subset_1(X3,X0)
| k2_binop_1(X0,X0,X0,X1,X3,X3) = X3 ),
inference(cnf_transformation,[],[f9790]) ).
fof(f12310,plain,
! [X0,X1] :
( v1_xboole_0(X0)
| ~ m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| m1_subset_1(sK331(X0,X1),X0)
| v3_binop_1(X1,X0) ),
inference(cnf_transformation,[],[f9790]) ).
fof(f12311,plain,
! [X0,X1] :
( v1_xboole_0(X0)
| ~ m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| sK331(X0,X1) != k2_binop_1(X0,X0,X0,X1,sK331(X0,X1),sK331(X0,X1))
| v3_binop_1(X1,X0) ),
inference(cnf_transformation,[],[f9790]) ).
fof(f12312,plain,
! [X3,X0,X1] :
( ~ m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| ~ v3_binop_1(X1,X0)
| ~ m1_subset_1(X3,X0)
| k1_binop_1(X1,X3,X3) = X3 ),
inference(cnf_transformation,[],[f9793]) ).
fof(f12313,plain,
! [X0,X1] :
( ~ m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| m1_subset_1(sK332(X0,X1),X0)
| v3_binop_1(X1,X0) ),
inference(cnf_transformation,[],[f9793]) ).
fof(f12314,plain,
! [X0,X1] :
( ~ m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| sK332(X0,X1) != k1_binop_1(X1,sK332(X0,X1),sK332(X0,X1))
| v3_binop_1(X1,X0) ),
inference(cnf_transformation,[],[f9793]) ).
fof(f12315,plain,
! [X2,X3,X0,X1] :
( ~ m1_relset_1(X3,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X3)
| ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| k3_funct_4(X2,X3) = k7_filter_1(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f7953]) ).
fof(f12316,plain,
! [X2,X3,X0,X1] :
( ~ m1_relset_1(X3,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X3)
| ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| m2_relset_1(k7_filter_1(X0,X1,X2,X3),k2_zfmisc_1(k2_zfmisc_1(X0,X1),k2_zfmisc_1(X0,X1)),k2_zfmisc_1(X0,X1)) ),
inference(cnf_transformation,[],[f7955]) ).
fof(f12317,plain,
! [X2,X3,X0,X1] :
( ~ m1_relset_1(X3,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X3)
| ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| v1_funct_2(k7_filter_1(X0,X1,X2,X3),k2_zfmisc_1(k2_zfmisc_1(X0,X1),k2_zfmisc_1(X0,X1)),k2_zfmisc_1(X0,X1)) ),
inference(cnf_transformation,[],[f7955]) ).
fof(f12318,plain,
! [X2,X3,X0,X1] :
( ~ m1_relset_1(X3,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X3)
| ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| v1_funct_1(k7_filter_1(X0,X1,X2,X3)) ),
inference(cnf_transformation,[],[f7955]) ).
fof(f12319,plain,
! [X2,X3,X0,X1,X4,X5] :
( v1_xboole_0(X0)
| v1_xboole_0(X1)
| ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ m2_relset_1(X3,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X3,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X3)
| ~ m2_relset_1(X4,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X4,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X4)
| ~ m2_relset_1(X5,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X5,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X5)
| ~ r6_binop_1(X1,X4,X5)
| ~ r6_binop_1(X0,X2,X3)
| r6_binop_1(k2_zfmisc_1(X0,X1),k7_filter_1(X0,X1,X2,X4),k7_filter_1(X0,X1,X3,X5)) ),
inference(cnf_transformation,[],[f9795]) ).
fof(f12320,plain,
! [X2,X3,X0,X1,X4,X5] :
( v1_xboole_0(X0)
| v1_xboole_0(X1)
| ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ m2_relset_1(X3,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X3,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X3)
| ~ m2_relset_1(X4,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X4,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X4)
| ~ m2_relset_1(X5,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X5,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X5)
| ~ r6_binop_1(k2_zfmisc_1(X0,X1),k7_filter_1(X0,X1,X2,X4),k7_filter_1(X0,X1,X3,X5))
| r6_binop_1(X1,X4,X5) ),
inference(cnf_transformation,[],[f9795]) ).
fof(f12321,plain,
! [X2,X3,X0,X1,X4,X5] :
( v1_xboole_0(X0)
| v1_xboole_0(X1)
| ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ m2_relset_1(X3,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X3,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X3)
| ~ m2_relset_1(X4,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X4,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X4)
| ~ m2_relset_1(X5,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X5,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X5)
| ~ r6_binop_1(k2_zfmisc_1(X0,X1),k7_filter_1(X0,X1,X2,X4),k7_filter_1(X0,X1,X3,X5))
| r6_binop_1(X0,X2,X3) ),
inference(cnf_transformation,[],[f9795]) ).
fof(f12322,plain,
! [X2,X3,X0,X1] :
( v1_xboole_0(X0)
| v1_xboole_0(X1)
| ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ m2_relset_1(X3,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X3)
| ~ v2_binop_1(X3,X1)
| ~ v2_binop_1(X2,X0)
| v2_binop_1(k7_filter_1(X0,X1,X2,X3),k2_zfmisc_1(X0,X1)) ),
inference(cnf_transformation,[],[f9797]) ).
fof(f12323,plain,
! [X2,X3,X0,X1] :
( v1_xboole_0(X0)
| v1_xboole_0(X1)
| ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ m2_relset_1(X3,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X3)
| ~ v2_binop_1(k7_filter_1(X0,X1,X2,X3),k2_zfmisc_1(X0,X1))
| v2_binop_1(X3,X1) ),
inference(cnf_transformation,[],[f9797]) ).
fof(f12324,plain,
! [X2,X3,X0,X1] :
( v1_xboole_0(X0)
| v1_xboole_0(X1)
| ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ m2_relset_1(X3,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X3)
| ~ v2_binop_1(k7_filter_1(X0,X1,X2,X3),k2_zfmisc_1(X0,X1))
| v2_binop_1(X2,X0) ),
inference(cnf_transformation,[],[f9797]) ).
fof(f12325,plain,
! [X2,X3,X0,X1] :
( v1_xboole_0(X0)
| v1_xboole_0(X1)
| ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ m2_relset_1(X3,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X3)
| ~ v1_binop_1(X3,X1)
| ~ v1_binop_1(X2,X0)
| v1_binop_1(k7_filter_1(X0,X1,X2,X3),k2_zfmisc_1(X0,X1)) ),
inference(cnf_transformation,[],[f9799]) ).
fof(f12326,plain,
! [X2,X3,X0,X1] :
( v1_xboole_0(X0)
| v1_xboole_0(X1)
| ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ m2_relset_1(X3,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X3)
| ~ v1_binop_1(k7_filter_1(X0,X1,X2,X3),k2_zfmisc_1(X0,X1))
| v1_binop_1(X3,X1) ),
inference(cnf_transformation,[],[f9799]) ).
fof(f12327,plain,
! [X2,X3,X0,X1] :
( v1_xboole_0(X0)
| v1_xboole_0(X1)
| ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ m2_relset_1(X3,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X3)
| ~ v1_binop_1(k7_filter_1(X0,X1,X2,X3),k2_zfmisc_1(X0,X1))
| v1_binop_1(X2,X0) ),
inference(cnf_transformation,[],[f9799]) ).
fof(f12328,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( v1_xboole_0(X0)
| v1_xboole_0(X1)
| ~ m1_subset_1(X2,X0)
| ~ m1_subset_1(X3,X0)
| ~ m1_subset_1(X4,X1)
| ~ m1_subset_1(X5,X1)
| ~ m2_relset_1(X6,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X6,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X6)
| ~ m2_relset_1(X7,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X7,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X7)
| k2_binop_1(k2_zfmisc_1(X0,X1),k2_zfmisc_1(X0,X1),k2_zfmisc_1(X0,X1),k7_filter_1(X0,X1,X6,X7),k1_domain_1(X0,X1,X2,X4),k1_domain_1(X0,X1,X3,X5)) = k1_domain_1(X0,X1,k2_binop_1(X0,X0,X0,X6,X2,X3),k2_binop_1(X1,X1,X1,X7,X4,X5)) ),
inference(cnf_transformation,[],[f7963]) ).
fof(f12329,plain,
! [X0,X1] : v1_funct_2(sK333(X0,X1),X0,X1),
inference(cnf_transformation,[],[f9800]) ).
fof(f12330,plain,
! [X0,X1] : v1_funct_1(sK333(X0,X1)),
inference(cnf_transformation,[],[f9800]) ).
fof(f12331,plain,
! [X0,X1] : v1_relat_1(sK333(X0,X1)),
inference(cnf_transformation,[],[f9800]) ).
fof(f12332,plain,
! [X0,X1] : m1_relset_1(sK333(X0,X1),X0,X1),
inference(cnf_transformation,[],[f9800]) ).
fof(f12333,plain,
! [X0,X1] : v1_funct_1(sK334(X0,X1)),
inference(cnf_transformation,[],[f9801]) ).
fof(f12334,plain,
! [X0,X1] : v1_relat_1(sK334(X0,X1)),
inference(cnf_transformation,[],[f9801]) ).
fof(f12335,plain,
! [X0,X1] : m1_relset_1(sK334(X0,X1),X0,X1),
inference(cnf_transformation,[],[f9801]) ).
fof(f12336,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X2,X0,X1)
| m1_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f9802]) ).
fof(f12337,plain,
! [X2,X0,X1] :
( ~ m1_relset_1(X2,X0,X1)
| m2_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f9802]) ).
fof(f12338,plain,
! [X0,X1] : m1_relset_1(sK335(X0,X1),X0,X1),
inference(cnf_transformation,[],[f9803]) ).
fof(f12339,plain,
! [X2,X0,X1] :
( ~ m1_relset_1(X2,X0,X1)
| r1_tarski(X2,k2_zfmisc_1(X0,X1)) ),
inference(cnf_transformation,[],[f9804]) ).
fof(f12340,plain,
! [X2,X0,X1] :
( ~ r1_tarski(X2,k2_zfmisc_1(X0,X1))
| m1_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f9804]) ).
fof(f12341,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k5_finsub_1(u1_struct_0(X0)))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| m1_subset_1(k2_lattice4(X0,X1),u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f7965]) ).
fof(f12342,plain,
! [X2,X0,X1] :
( ~ l3_lattices(X0)
| ~ v14_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m2_lattice4(X1,X0)
| ~ r2_hidden(k6_lattices(X0),X1)
| ~ m1_subset_1(X2,k5_finsub_1(u1_struct_0(X0)))
| ~ r1_tarski(X2,X1)
| r2_hidden(k2_lattice4(X0,X2),X1) ),
inference(cnf_transformation,[],[f7967]) ).
fof(f12343,plain,
! [X2,X0,X1] :
( ~ l3_lattices(X0)
| ~ v14_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,k5_finsub_1(u1_struct_0(X0)))
| ~ m1_subset_1(X2,k5_finsub_1(u1_struct_0(X0)))
| k4_lattices(X0,k2_lattice4(X0,X1),k2_lattice4(X0,X2)) = k2_lattice4(X0,k5_setwiseo(u1_struct_0(X0),X1,X2)) ),
inference(cnf_transformation,[],[f7969]) ).
fof(f12344,plain,
! [X2,X0,X1] :
( ~ l3_lattices(X0)
| ~ v14_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,k5_finsub_1(u1_struct_0(X0)))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| k2_lattice4(X0,k5_setwiseo(u1_struct_0(X0),X1,k2_setwiseo(u1_struct_0(X0),X2))) = k4_lattices(X0,k2_lattice4(X0,X1),X2) ),
inference(cnf_transformation,[],[f7971]) ).
fof(f12345,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v14_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| k6_lattices(X0) = k2_lattice4(X0,k1_setwiseo(u1_struct_0(X0))) ),
inference(cnf_transformation,[],[f7973]) ).
fof(f12346,plain,
! [X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| k2_lattice4(X0,k2_setwiseo(u1_struct_0(X0),X1)) = X1 ),
inference(cnf_transformation,[],[f7975]) ).
fof(f12347,plain,
! [X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,k5_finsub_1(u1_struct_0(X0)))
| k2_lattice4(X0,X1) = k7_setwiseo(u1_struct_0(X0),u1_struct_0(X0),u1_lattices(X0),X1,k7_grcat_1(X0)) ),
inference(cnf_transformation,[],[f7977]) ).
fof(f12348,plain,
! [X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,k5_finsub_1(u1_struct_0(X0)))
| k2_lattice4(X0,X1) = k3_lattice2(u1_struct_0(X0),X0,X1,k7_grcat_1(X0)) ),
inference(cnf_transformation,[],[f7979]) ).
fof(f12349,plain,
! [X2,X3,X0,X1] :
( ~ l3_lattices(X0)
| ~ v14_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,k5_finsub_1(u1_struct_0(X0)))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m2_relset_1(X3,u1_struct_0(X0),u1_struct_0(X0))
| ~ v1_funct_2(X3,u1_struct_0(X0),u1_struct_0(X0))
| ~ v1_funct_1(X3)
| k3_lattice2(u1_struct_0(X0),X0,k5_setwiseo(u1_struct_0(X0),X1,k2_setwiseo(u1_struct_0(X0),X2)),X3) = k4_lattices(X0,k3_lattice2(u1_struct_0(X0),X0,X1,X3),k8_funct_2(u1_struct_0(X0),u1_struct_0(X0),X3,X2)) ),
inference(cnf_transformation,[],[f7981]) ).
fof(f12350,plain,
! [X2,X3,X0,X1] :
( ~ m1_relset_1(X3,X0,u1_struct_0(X1))
| ~ v1_funct_2(X3,X0,u1_struct_0(X1))
| ~ v1_funct_1(X3)
| ~ m1_subset_1(X2,k5_finsub_1(X0))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| v1_xboole_0(X0)
| m1_subset_1(k3_lattice2(X0,X1,X2,X3),u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f7983]) ).
fof(f12351,plain,
! [X2,X3,X0,X1,X4] :
( v1_xboole_0(X0)
| ~ m1_subset_1(X1,k5_finsub_1(X0))
| ~ l3_lattices(X2)
| ~ v14_lattices(X2)
| ~ v10_lattices(X2)
| v3_struct_0(X2)
| ~ m2_relset_1(X3,X0,u1_struct_0(X2))
| ~ v1_funct_2(X3,X0,u1_struct_0(X2))
| ~ v1_funct_1(X3)
| ~ m2_relset_1(X4,X0,u1_struct_0(X2))
| ~ v1_funct_2(X4,X0,u1_struct_0(X2))
| ~ v1_funct_1(X4)
| m1_subset_1(sK336(X0,X1,X2,X3,X4),X0)
| r3_lattices(X2,k3_lattice2(X0,X2,X1,X3),k3_lattice2(X0,X2,X1,X4)) ),
inference(cnf_transformation,[],[f9805]) ).
fof(f12352,plain,
! [X2,X3,X0,X1,X4] :
( v1_xboole_0(X0)
| ~ m1_subset_1(X1,k5_finsub_1(X0))
| ~ l3_lattices(X2)
| ~ v14_lattices(X2)
| ~ v10_lattices(X2)
| v3_struct_0(X2)
| ~ m2_relset_1(X3,X0,u1_struct_0(X2))
| ~ v1_funct_2(X3,X0,u1_struct_0(X2))
| ~ v1_funct_1(X3)
| ~ m2_relset_1(X4,X0,u1_struct_0(X2))
| ~ v1_funct_2(X4,X0,u1_struct_0(X2))
| ~ v1_funct_1(X4)
| r2_hidden(sK336(X0,X1,X2,X3,X4),X1)
| r3_lattices(X2,k3_lattice2(X0,X2,X1,X3),k3_lattice2(X0,X2,X1,X4)) ),
inference(cnf_transformation,[],[f9805]) ).
fof(f12353,plain,
! [X2,X3,X0,X1,X4] :
( v1_xboole_0(X0)
| ~ m1_subset_1(X1,k5_finsub_1(X0))
| ~ l3_lattices(X2)
| ~ v14_lattices(X2)
| ~ v10_lattices(X2)
| v3_struct_0(X2)
| ~ m2_relset_1(X3,X0,u1_struct_0(X2))
| ~ v1_funct_2(X3,X0,u1_struct_0(X2))
| ~ v1_funct_1(X3)
| ~ m2_relset_1(X4,X0,u1_struct_0(X2))
| ~ v1_funct_2(X4,X0,u1_struct_0(X2))
| ~ v1_funct_1(X4)
| ~ r3_lattices(X2,k8_funct_2(X0,u1_struct_0(X2),X3,sK336(X0,X1,X2,X3,X4)),k8_funct_2(X0,u1_struct_0(X2),X4,sK336(X0,X1,X2,X3,X4)))
| r3_lattices(X2,k3_lattice2(X0,X2,X1,X3),k3_lattice2(X0,X2,X1,X4)) ),
inference(cnf_transformation,[],[f9805]) ).
fof(f12354,plain,
! [X2,X3,X0,X1,X4] :
( v1_xboole_0(X0)
| ~ m1_subset_1(X1,k5_finsub_1(X0))
| ~ l3_lattices(X2)
| ~ v14_lattices(X2)
| ~ v10_lattices(X2)
| v3_struct_0(X2)
| ~ m2_relset_1(X3,X0,u1_struct_0(X2))
| ~ v1_funct_2(X3,X0,u1_struct_0(X2))
| ~ v1_funct_1(X3)
| ~ m1_subset_1(X4,u1_struct_0(X2))
| m1_subset_1(sK337(X0,X1,X2,X3,X4),X0)
| r3_lattices(X2,X4,k3_lattice2(X0,X2,X1,X3)) ),
inference(cnf_transformation,[],[f9806]) ).
fof(f12355,plain,
! [X2,X3,X0,X1,X4] :
( v1_xboole_0(X0)
| ~ m1_subset_1(X1,k5_finsub_1(X0))
| ~ l3_lattices(X2)
| ~ v14_lattices(X2)
| ~ v10_lattices(X2)
| v3_struct_0(X2)
| ~ m2_relset_1(X3,X0,u1_struct_0(X2))
| ~ v1_funct_2(X3,X0,u1_struct_0(X2))
| ~ v1_funct_1(X3)
| ~ m1_subset_1(X4,u1_struct_0(X2))
| r2_hidden(sK337(X0,X1,X2,X3,X4),X1)
| r3_lattices(X2,X4,k3_lattice2(X0,X2,X1,X3)) ),
inference(cnf_transformation,[],[f9806]) ).
fof(f12356,plain,
! [X2,X3,X0,X1,X4] :
( v1_xboole_0(X0)
| ~ m1_subset_1(X1,k5_finsub_1(X0))
| ~ l3_lattices(X2)
| ~ v14_lattices(X2)
| ~ v10_lattices(X2)
| v3_struct_0(X2)
| ~ m2_relset_1(X3,X0,u1_struct_0(X2))
| ~ v1_funct_2(X3,X0,u1_struct_0(X2))
| ~ v1_funct_1(X3)
| ~ m1_subset_1(X4,u1_struct_0(X2))
| ~ r3_lattices(X2,X4,k8_funct_2(X0,u1_struct_0(X2),X3,sK337(X0,X1,X2,X3,X4)))
| r3_lattices(X2,X4,k3_lattice2(X0,X2,X1,X3)) ),
inference(cnf_transformation,[],[f9806]) ).
fof(f12357,plain,
! [X2,X3,X0,X1,X4] :
( v1_xboole_0(X0)
| ~ m1_subset_1(X1,k5_finsub_1(X0))
| ~ l3_lattices(X2)
| ~ v14_lattices(X2)
| ~ v10_lattices(X2)
| v3_struct_0(X2)
| ~ m2_relset_1(X3,X0,u1_struct_0(X2))
| ~ v1_funct_2(X3,X0,u1_struct_0(X2))
| ~ v1_funct_1(X3)
| ~ m2_relset_1(X4,X0,u1_struct_0(X2))
| ~ v1_funct_2(X4,X0,u1_struct_0(X2))
| ~ v1_funct_1(X4)
| k2_partfun1(X0,u1_struct_0(X2),X3,X1) != k2_partfun1(X0,u1_struct_0(X2),X4,X1)
| k3_lattice2(X0,X2,X1,X3) = k3_lattice2(X0,X2,X1,X4) ),
inference(cnf_transformation,[],[f7989]) ).
fof(f12358,plain,
! [X2,X3,X0,X1,X4] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| v1_xboole_0(X1)
| ~ m1_subset_1(X2,k5_finsub_1(X1))
| ~ m2_relset_1(X3,X1,u1_struct_0(X0))
| ~ v1_funct_2(X3,X1,u1_struct_0(X0))
| ~ v1_funct_1(X3)
| ~ m2_relset_1(X4,X1,u1_struct_0(X0))
| ~ v1_funct_2(X4,X1,u1_struct_0(X0))
| ~ v1_funct_1(X4)
| m1_subset_1(sK338(X0,X1,X2,X3,X4),X1)
| r3_lattices(X0,k3_lattice2(X1,X0,X2,X3),k3_lattice2(X1,X0,X2,X4))
| k1_xboole_0 = X2 ),
inference(cnf_transformation,[],[f9807]) ).
fof(f12359,plain,
! [X2,X3,X0,X1,X4] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| v1_xboole_0(X1)
| ~ m1_subset_1(X2,k5_finsub_1(X1))
| ~ m2_relset_1(X3,X1,u1_struct_0(X0))
| ~ v1_funct_2(X3,X1,u1_struct_0(X0))
| ~ v1_funct_1(X3)
| ~ m2_relset_1(X4,X1,u1_struct_0(X0))
| ~ v1_funct_2(X4,X1,u1_struct_0(X0))
| ~ v1_funct_1(X4)
| r2_hidden(sK338(X0,X1,X2,X3,X4),X2)
| r3_lattices(X0,k3_lattice2(X1,X0,X2,X3),k3_lattice2(X1,X0,X2,X4))
| k1_xboole_0 = X2 ),
inference(cnf_transformation,[],[f9807]) ).
fof(f12360,plain,
! [X2,X3,X0,X1,X4] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| v1_xboole_0(X1)
| ~ m1_subset_1(X2,k5_finsub_1(X1))
| ~ m2_relset_1(X3,X1,u1_struct_0(X0))
| ~ v1_funct_2(X3,X1,u1_struct_0(X0))
| ~ v1_funct_1(X3)
| ~ m2_relset_1(X4,X1,u1_struct_0(X0))
| ~ v1_funct_2(X4,X1,u1_struct_0(X0))
| ~ v1_funct_1(X4)
| ~ r3_lattices(X0,k8_funct_2(X1,u1_struct_0(X0),X3,sK338(X0,X1,X2,X3,X4)),k8_funct_2(X1,u1_struct_0(X0),X4,sK338(X0,X1,X2,X3,X4)))
| r3_lattices(X0,k3_lattice2(X1,X0,X2,X3),k3_lattice2(X1,X0,X2,X4))
| k1_xboole_0 = X2 ),
inference(cnf_transformation,[],[f9807]) ).
fof(f12361,plain,
! [X2,X3,X0,X1,X4] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| v1_xboole_0(X2)
| ~ m1_subset_1(X3,k5_finsub_1(X2))
| ~ m2_relset_1(X4,X2,u1_struct_0(X0))
| ~ v1_funct_2(X4,X2,u1_struct_0(X0))
| ~ v1_funct_1(X4)
| m1_subset_1(sK339(X0,X1,X2,X3,X4),X2)
| r3_lattices(X0,X1,k3_lattice2(X2,X0,X3,X4))
| k1_xboole_0 = X3 ),
inference(cnf_transformation,[],[f9808]) ).
fof(f12362,plain,
! [X2,X3,X0,X1,X4] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| v1_xboole_0(X2)
| ~ m1_subset_1(X3,k5_finsub_1(X2))
| ~ m2_relset_1(X4,X2,u1_struct_0(X0))
| ~ v1_funct_2(X4,X2,u1_struct_0(X0))
| ~ v1_funct_1(X4)
| r2_hidden(sK339(X0,X1,X2,X3,X4),X3)
| r3_lattices(X0,X1,k3_lattice2(X2,X0,X3,X4))
| k1_xboole_0 = X3 ),
inference(cnf_transformation,[],[f9808]) ).
fof(f12363,plain,
! [X2,X3,X0,X1,X4] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| v1_xboole_0(X2)
| ~ m1_subset_1(X3,k5_finsub_1(X2))
| ~ m2_relset_1(X4,X2,u1_struct_0(X0))
| ~ v1_funct_2(X4,X2,u1_struct_0(X0))
| ~ v1_funct_1(X4)
| ~ r3_lattices(X0,X1,k8_funct_2(X2,u1_struct_0(X0),X4,sK339(X0,X1,X2,X3,X4)))
| r3_lattices(X0,X1,k3_lattice2(X2,X0,X3,X4))
| k1_xboole_0 = X3 ),
inference(cnf_transformation,[],[f9808]) ).
fof(f12364,plain,
! [X2,X3,X0,X1,X4] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| v1_xboole_0(X1)
| ~ m1_subset_1(X2,k5_finsub_1(X1))
| ~ m2_relset_1(X3,X1,u1_struct_0(X0))
| ~ v1_funct_2(X3,X1,u1_struct_0(X0))
| ~ v1_funct_1(X3)
| ~ m2_relset_1(X4,X1,u1_struct_0(X0))
| ~ v1_funct_2(X4,X1,u1_struct_0(X0))
| ~ v1_funct_1(X4)
| k2_partfun1(X1,u1_struct_0(X0),X3,X2) != k2_partfun1(X1,u1_struct_0(X0),X4,X2)
| k3_lattice2(X1,X0,X2,X3) = k3_lattice2(X1,X0,X2,X4)
| k1_xboole_0 = X2 ),
inference(cnf_transformation,[],[f7995]) ).
fof(f12365,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| v1_xboole_0(X2)
| ~ m1_subset_1(X3,k5_finsub_1(X2))
| ~ m2_relset_1(X4,X2,u1_struct_0(X0))
| ~ v1_funct_2(X4,X2,u1_struct_0(X0))
| ~ v1_funct_1(X4)
| ~ r3_lattices(X0,X1,k3_lattice2(X2,X0,X3,X4))
| ~ m1_subset_1(X5,X2)
| ~ r2_hidden(X5,X3)
| r3_lattices(X0,X1,k8_funct_2(X2,u1_struct_0(X0),X4,X5)) ),
inference(cnf_transformation,[],[f7997]) ).
fof(f12366,plain,
! [X2,X3,X0,X1,X4] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| v1_xboole_0(X2)
| ~ m1_subset_1(X3,k5_finsub_1(X2))
| ~ m2_relset_1(X4,X2,u1_struct_0(X0))
| ~ v1_funct_2(X4,X2,u1_struct_0(X0))
| ~ v1_funct_1(X4)
| m1_subset_1(sK340(X0,X1,X2,X3,X4),X2)
| k3_lattice2(X2,X0,X3,X4) = X1
| k1_xboole_0 = X3 ),
inference(cnf_transformation,[],[f9809]) ).
fof(f12367,plain,
! [X2,X3,X0,X1,X4] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| v1_xboole_0(X2)
| ~ m1_subset_1(X3,k5_finsub_1(X2))
| ~ m2_relset_1(X4,X2,u1_struct_0(X0))
| ~ v1_funct_2(X4,X2,u1_struct_0(X0))
| ~ v1_funct_1(X4)
| r2_hidden(sK340(X0,X1,X2,X3,X4),X3)
| k3_lattice2(X2,X0,X3,X4) = X1
| k1_xboole_0 = X3 ),
inference(cnf_transformation,[],[f9809]) ).
fof(f12368,plain,
! [X2,X3,X0,X1,X4] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| v1_xboole_0(X2)
| ~ m1_subset_1(X3,k5_finsub_1(X2))
| ~ m2_relset_1(X4,X2,u1_struct_0(X0))
| ~ v1_funct_2(X4,X2,u1_struct_0(X0))
| ~ v1_funct_1(X4)
| k8_funct_2(X2,u1_struct_0(X0),X4,sK340(X0,X1,X2,X3,X4)) != X1
| k3_lattice2(X2,X0,X3,X4) = X1
| k1_xboole_0 = X3 ),
inference(cnf_transformation,[],[f9809]) ).
fof(f12369,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| v1_xboole_0(X2)
| ~ m1_subset_1(X3,k5_finsub_1(X2))
| ~ m2_relset_1(X4,X2,u1_struct_0(X0))
| ~ v1_funct_2(X4,X2,u1_struct_0(X0))
| ~ v1_funct_1(X4)
| ~ r3_lattices(X0,k8_funct_2(X2,u1_struct_0(X0),X4,X5),X1)
| ~ r2_hidden(X5,X3)
| ~ m1_subset_1(X5,X2)
| r3_lattices(X0,k3_lattice2(X2,X0,X3,X4),X1) ),
inference(cnf_transformation,[],[f8001]) ).
fof(f12370,plain,
! [X2,X3,X0,X1,X4] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| v1_xboole_0(X1)
| ~ m1_subset_1(X2,X1)
| ~ m1_subset_1(X3,k5_finsub_1(X1))
| ~ m2_relset_1(X4,X1,u1_struct_0(X0))
| ~ v1_funct_2(X4,X1,u1_struct_0(X0))
| ~ v1_funct_1(X4)
| ~ r2_hidden(X2,X3)
| r3_lattices(X0,k3_lattice2(X1,X0,X3,X4),k8_funct_2(X1,u1_struct_0(X0),X4,X2)) ),
inference(cnf_transformation,[],[f8003]) ).
fof(f12371,plain,
! [X2,X3,X0,X1] :
( v1_xboole_0(X0)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ~ m1_subset_1(X2,k5_finsub_1(X0))
| ~ m2_relset_1(X3,X0,u1_struct_0(X1))
| ~ v1_funct_2(X3,X0,u1_struct_0(X1))
| ~ v1_funct_1(X3)
| k3_lattice2(X0,X1,X2,X3) = k7_setwiseo(X0,u1_struct_0(X1),u1_lattices(X1),X2,X3) ),
inference(cnf_transformation,[],[f8005]) ).
fof(f12372,plain,
! [X0,X1] :
( ~ r1_tarski(X0,X1)
| k6_relat_1(X0) = k7_relat_1(k6_relat_1(X1),X0) ),
inference(cnf_transformation,[],[f8006]) ).
fof(f12373,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X2,X0,X1)
| k5_relat_1(X2,k6_relat_1(X1)) = X2 ),
inference(cnf_transformation,[],[f8007]) ).
fof(f12374,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X2,X0,X1)
| k5_relat_1(k6_relat_1(X0),X2) = X2 ),
inference(cnf_transformation,[],[f8008]) ).
fof(f12375,plain,
! [X0] :
( v1_xboole_0(X0)
| k1_xboole_0 != k6_relat_1(X0) ),
inference(cnf_transformation,[],[f8009]) ).
fof(f12376,plain,
! [X0,X1] :
( ~ m2_relset_1(X1,X0,X0)
| k5_relat_1(k6_relat_1(X0),X1) = X1 ),
inference(cnf_transformation,[],[f8010]) ).
fof(f12377,plain,
! [X0,X1] :
( ~ m2_relset_1(X1,X0,X0)
| k5_relat_1(X1,k6_relat_1(X0)) = X1 ),
inference(cnf_transformation,[],[f8010]) ).
fof(f12379,plain,
! [X0] : r1_tarski(k6_relat_1(X0),k2_zfmisc_1(X0,X0)),
inference(cnf_transformation,[],[f1286]) ).
fof(f12380,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| k9_relat_1(k6_relat_1(X0),X1) = X1 ),
inference(cnf_transformation,[],[f8011]) ).
fof(f12381,plain,
! [X0,X1] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| k5_relat_1(X0,X1) != k6_relat_1(k1_relat_1(X0))
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| v2_funct_1(X0) ),
inference(cnf_transformation,[],[f8013]) ).
fof(f12382,plain,
! [X0] : v2_funct_1(k6_relat_1(X0)),
inference(cnf_transformation,[],[f986]) ).
fof(f12383,plain,
! [X2,X0,X1] :
( ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| k5_relat_1(X2,X1) != X1
| ~ v2_funct_1(X1)
| ~ r1_tarski(k2_relat_1(X2),X0)
| k1_relat_1(X2) != X0
| k1_relat_1(X1) != X0
| k6_relat_1(X0) = X2 ),
inference(cnf_transformation,[],[f8015]) ).
fof(f12384,plain,
! [X0,X1] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| k5_relat_1(X0,X1) != X0
| k2_relat_1(X0) != k1_relat_1(X1)
| k6_relat_1(k1_relat_1(X1)) = X1 ),
inference(cnf_transformation,[],[f8017]) ).
fof(f12385,plain,
! [X0,X1] : k5_relat_1(k6_relat_1(X1),k6_relat_1(X0)) = k6_relat_1(k3_xboole_0(X0,X1)),
inference(cnf_transformation,[],[f974]) ).
fof(f12388,plain,
! [X2,X0,X1] :
( ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| ~ r2_hidden(X1,k1_relat_1(k5_relat_1(X2,k6_relat_1(X0))))
| r2_hidden(k1_funct_1(X2,X1),X0) ),
inference(cnf_transformation,[],[f9811]) ).
fof(f12389,plain,
! [X2,X0,X1] :
( ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| ~ r2_hidden(X1,k1_relat_1(k5_relat_1(X2,k6_relat_1(X0))))
| r2_hidden(X1,k1_relat_1(X2)) ),
inference(cnf_transformation,[],[f9811]) ).
fof(f12390,plain,
! [X2,X0,X1] :
( ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| ~ r2_hidden(k1_funct_1(X2,X1),X0)
| ~ r2_hidden(X1,k1_relat_1(X2))
| r2_hidden(X1,k1_relat_1(k5_relat_1(X2,k6_relat_1(X0)))) ),
inference(cnf_transformation,[],[f9811]) ).
fof(f12391,plain,
! [X2,X0,X1] :
( ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| ~ r2_hidden(X1,k3_xboole_0(k1_relat_1(X2),X0))
| k1_funct_1(X2,X1) = k1_funct_1(k5_relat_1(k6_relat_1(X0),X2),X1) ),
inference(cnf_transformation,[],[f8023]) ).
fof(f12392,plain,
! [X0,X1] :
( ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| k3_xboole_0(k1_relat_1(X1),X0) = k1_relat_1(k5_relat_1(k6_relat_1(X0),X1)) ),
inference(cnf_transformation,[],[f8025]) ).
fof(f12393,plain,
! [X0,X1] :
( ~ r2_hidden(X1,X0)
| k1_funct_1(k6_relat_1(X0),X1) = X1 ),
inference(cnf_transformation,[],[f8026]) ).
fof(f12396,plain,
! [X0,X1] :
( ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| r2_hidden(sK341(X0,X1),X0)
| k1_relat_1(X1) != X0
| k6_relat_1(X0) = X1 ),
inference(cnf_transformation,[],[f9815]) ).
fof(f12397,plain,
! [X0,X1] :
( ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| sK341(X0,X1) != k1_funct_1(X1,sK341(X0,X1))
| k1_relat_1(X1) != X0
| k6_relat_1(X0) = X1 ),
inference(cnf_transformation,[],[f9815]) ).
fof(f12398,plain,
! [X0] : v1_funct_1(k6_relat_1(X0)),
inference(cnf_transformation,[],[f917]) ).
fof(f12399,plain,
! [X0] : v1_relat_1(k6_relat_1(X0)),
inference(cnf_transformation,[],[f917]) ).
fof(f12400,plain,
! [X0] : v1_relat_1(k6_relat_1(X0)),
inference(cnf_transformation,[],[f909]) ).
fof(f12401,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| k5_relat_1(X1,k6_relat_1(X0)) = k8_relat_1(X0,X1) ),
inference(cnf_transformation,[],[f8029]) ).
fof(f12402,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| k5_relat_1(k6_relat_1(X0),X1) = k7_relat_1(X1,X0) ),
inference(cnf_transformation,[],[f8030]) ).
fof(f12403,plain,
! [X2,X3,X0,X1] :
( ~ v1_relat_1(X1)
| ~ v1_relat_1(X2)
| ~ v1_relat_1(X3)
| k5_relat_1(X1,X3) != k6_relat_1(X0)
| k5_relat_1(X2,X1) != k6_relat_1(k1_relat_1(X3))
| ~ r1_tarski(k2_relat_1(X2),X0)
| k1_relat_1(X1) != X0
| X2 = X3 ),
inference(cnf_transformation,[],[f8032]) ).
fof(f12404,plain,
k1_xboole_0 = k6_relat_1(k1_xboole_0),
inference(cnf_transformation,[],[f787]) ).
fof(f12405,plain,
! [X0] :
( ~ v1_relat_1(X0)
| k5_relat_1(X0,k6_relat_1(k2_relat_1(X0))) = X0 ),
inference(cnf_transformation,[],[f8033]) ).
fof(f12406,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| ~ r1_tarski(k2_relat_1(X1),X0)
| k5_relat_1(X1,k6_relat_1(X0)) = X1 ),
inference(cnf_transformation,[],[f8035]) ).
fof(f12407,plain,
! [X0] :
( ~ v1_relat_1(X0)
| k5_relat_1(k6_relat_1(k1_relat_1(X0)),X0) = X0 ),
inference(cnf_transformation,[],[f8036]) ).
fof(f12408,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| ~ r1_tarski(k1_relat_1(X1),X0)
| k5_relat_1(k6_relat_1(X0),X1) = X1 ),
inference(cnf_transformation,[],[f8038]) ).
fof(f12409,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| r1_tarski(k5_relat_1(k6_relat_1(X0),X1),X1) ),
inference(cnf_transformation,[],[f8039]) ).
fof(f12410,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| r1_tarski(k5_relat_1(X1,k6_relat_1(X0)),X1) ),
inference(cnf_transformation,[],[f8039]) ).
fof(f12411,plain,
! [X2,X3,X0,X1] :
( ~ v1_relat_1(X3)
| ~ r2_hidden(k4_tarski(X0,X1),k5_relat_1(X3,k6_relat_1(X2)))
| r2_hidden(k4_tarski(X0,X1),X3) ),
inference(cnf_transformation,[],[f9817]) ).
fof(f12412,plain,
! [X2,X3,X0,X1] :
( ~ v1_relat_1(X3)
| ~ r2_hidden(k4_tarski(X0,X1),k5_relat_1(X3,k6_relat_1(X2)))
| r2_hidden(X1,X2) ),
inference(cnf_transformation,[],[f9817]) ).
fof(f12413,plain,
! [X2,X3,X0,X1] :
( ~ v1_relat_1(X3)
| ~ r2_hidden(k4_tarski(X0,X1),X3)
| ~ r2_hidden(X1,X2)
| r2_hidden(k4_tarski(X0,X1),k5_relat_1(X3,k6_relat_1(X2))) ),
inference(cnf_transformation,[],[f9817]) ).
fof(f12414,plain,
! [X2,X3,X0,X1] :
( ~ v1_relat_1(X3)
| ~ r2_hidden(k4_tarski(X0,X1),k5_relat_1(k6_relat_1(X2),X3))
| r2_hidden(k4_tarski(X0,X1),X3) ),
inference(cnf_transformation,[],[f9819]) ).
fof(f12415,plain,
! [X2,X3,X0,X1] :
( ~ v1_relat_1(X3)
| ~ r2_hidden(k4_tarski(X0,X1),k5_relat_1(k6_relat_1(X2),X3))
| r2_hidden(X0,X2) ),
inference(cnf_transformation,[],[f9819]) ).
fof(f12416,plain,
! [X2,X3,X0,X1] :
( ~ v1_relat_1(X3)
| ~ r2_hidden(k4_tarski(X0,X1),X3)
| ~ r2_hidden(X0,X2)
| r2_hidden(k4_tarski(X0,X1),k5_relat_1(k6_relat_1(X2),X3)) ),
inference(cnf_transformation,[],[f9819]) ).
fof(f12417,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| r2_hidden(sK342(X0,X1),X0)
| r1_tarski(k6_relat_1(X0),X1) ),
inference(cnf_transformation,[],[f9820]) ).
fof(f12418,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| ~ r2_hidden(k4_tarski(sK342(X0,X1),sK342(X0,X1)),X1)
| r1_tarski(k6_relat_1(X0),X1) ),
inference(cnf_transformation,[],[f9820]) ).
fof(f12419,plain,
! [X0] : k2_relat_1(k6_relat_1(X0)) = X0,
inference(cnf_transformation,[],[f777]) ).
fof(f12420,plain,
! [X0] : k1_relat_1(k6_relat_1(X0)) = X0,
inference(cnf_transformation,[],[f777]) ).
fof(f12421,plain,
! [X0,X1,X4,X5] :
( ~ v1_relat_1(X1)
| k6_relat_1(X0) != X1
| ~ r2_hidden(k4_tarski(X4,X5),X1)
| X4 = X5 ),
inference(cnf_transformation,[],[f9824]) ).
fof(f12422,plain,
! [X0,X1,X4,X5] :
( ~ v1_relat_1(X1)
| k6_relat_1(X0) != X1
| ~ r2_hidden(k4_tarski(X4,X5),X1)
| r2_hidden(X4,X0) ),
inference(cnf_transformation,[],[f9824]) ).
fof(f12423,plain,
! [X0,X1,X4,X5] :
( ~ v1_relat_1(X1)
| k6_relat_1(X0) != X1
| X4 != X5
| ~ r2_hidden(X4,X0)
| r2_hidden(k4_tarski(X4,X5),X1) ),
inference(cnf_transformation,[],[f9824]) ).
fof(f12424,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| r2_hidden(k4_tarski(sK343(X0,X1),sK344(X0,X1)),X1)
| sK343(X0,X1) = sK344(X0,X1)
| k6_relat_1(X0) = X1 ),
inference(cnf_transformation,[],[f9824]) ).
fof(f12425,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| r2_hidden(k4_tarski(sK343(X0,X1),sK344(X0,X1)),X1)
| r2_hidden(sK343(X0,X1),X0)
| k6_relat_1(X0) = X1 ),
inference(cnf_transformation,[],[f9824]) ).
fof(f12426,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| ~ r2_hidden(k4_tarski(sK343(X0,X1),sK344(X0,X1)),X1)
| sK343(X0,X1) != sK344(X0,X1)
| ~ r2_hidden(sK343(X0,X1),X0)
| k6_relat_1(X0) = X1 ),
inference(cnf_transformation,[],[f9824]) ).
fof(f12427,plain,
! [X0,X1] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ~ v1_finseq_1(X1)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ~ r1_tarski(k2_relat_1(X1),k1_relat_1(X0))
| v1_finseq_1(k5_relat_1(X1,X0)) ),
inference(cnf_transformation,[],[f8046]) ).
fof(f12429,plain,
! [X0,X1] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ~ v1_finseq_1(X1)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ~ r1_tarski(k2_relat_1(X1),k1_relat_1(X0))
| v1_relat_1(k5_relat_1(X1,X0)) ),
inference(cnf_transformation,[],[f8046]) ).
fof(f12430,plain,
! [X2,X0,X1] :
( ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| ~ r1_tarski(k10_relat_1(X2,X0),k2_relat_1(X1))
| ~ r1_tarski(X0,k2_relat_1(X2))
| r1_tarski(X0,k2_relat_1(k5_relat_1(X1,X2))) ),
inference(cnf_transformation,[],[f8048]) ).
fof(f12431,plain,
! [X2,X0,X1] :
( ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| ~ v2_funct_1(X2)
| ~ r1_tarski(X0,k2_relat_1(k5_relat_1(X1,X2)))
| r1_tarski(k10_relat_1(X2,X0),k2_relat_1(X1)) ),
inference(cnf_transformation,[],[f8050]) ).
fof(f12432,plain,
! [X2,X0,X1] :
( ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| ~ r1_tarski(k9_relat_1(X1,X0),k1_relat_1(X2))
| ~ r1_tarski(X0,k1_relat_1(X1))
| r1_tarski(X0,k1_relat_1(k5_relat_1(X1,X2))) ),
inference(cnf_transformation,[],[f8052]) ).
fof(f12433,plain,
! [X2,X0,X1] :
( ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| ~ r1_tarski(X0,k1_relat_1(k5_relat_1(X1,X2)))
| r1_tarski(k9_relat_1(X1,X0),k1_relat_1(X2)) ),
inference(cnf_transformation,[],[f8054]) ).
fof(f12434,plain,
! [X2,X3,X0,X1] :
( ~ m2_relset_1(X2,X0,X0)
| ~ v1_funct_2(X2,X0,X0)
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X3)
| ~ v1_relat_1(X3)
| ~ r2_hidden(X1,X0)
| k1_funct_1(k5_relat_1(X2,X3),X1) = k1_funct_1(X3,k1_funct_1(X2,X1)) ),
inference(cnf_transformation,[],[f8056]) ).
fof(f12435,plain,
! [X2,X3,X0,X1,X4] :
( ~ m2_relset_1(X3,X0,X1)
| ~ v1_funct_2(X3,X0,X1)
| ~ v1_funct_1(X3)
| ~ v1_funct_1(X4)
| ~ v1_relat_1(X4)
| ~ r2_hidden(X2,X0)
| k1_funct_1(k5_relat_1(X3,X4),X2) = k1_funct_1(X4,k1_funct_1(X3,X2))
| k1_xboole_0 = X1 ),
inference(cnf_transformation,[],[f8058]) ).
fof(f12436,plain,
! [X2,X0,X1] :
( ~ v1_relat_1(X1)
| ~ v1_relat_1(X2)
| ~ r1_tarski(k2_relat_1(X1),k1_relat_1(X2))
| r1_tarski(k10_relat_1(X1,X0),k10_relat_1(k5_relat_1(X1,X2),k9_relat_1(X2,X0))) ),
inference(cnf_transformation,[],[f8060]) ).
fof(f12437,plain,
! [X2,X3,X0,X1] :
( ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| ~ v1_funct_1(X3)
| ~ v1_relat_1(X3)
| k5_relat_1(X1,X2) != k5_relat_1(X1,X3)
| k1_relat_1(X3) != X0
| k1_relat_1(X2) != X0
| k2_relat_1(X1) != X0
| X2 = X3 ),
inference(cnf_transformation,[],[f8062]) ).
fof(f12438,plain,
! [X0,X1] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ~ v2_funct_1(X0)
| k2_relat_1(X0) != k2_relat_1(k5_relat_1(X1,X0))
| r1_tarski(k1_relat_1(X0),k2_relat_1(X1)) ),
inference(cnf_transformation,[],[f8064]) ).
fof(f12439,plain,
! [X0] :
( ~ sP24(X0)
| ~ v2_funct_1(X0)
| sP23(X0) ),
inference(cnf_transformation,[],[f9825]) ).
fof(f12440,plain,
! [X0] :
( ~ sP24(X0)
| ~ sP23(X0)
| v2_funct_1(X0) ),
inference(cnf_transformation,[],[f9825]) ).
fof(f12451,plain,
! [X0] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| sP24(X0) ),
inference(cnf_transformation,[],[f9249]) ).
fof(f12452,plain,
! [X0,X1] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| k1_relat_1(X0) != k2_relat_1(X1)
| ~ v2_funct_1(k5_relat_1(X1,X0))
| v2_funct_1(X0) ),
inference(cnf_transformation,[],[f8068]) ).
fof(f12453,plain,
! [X0,X1] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| k1_relat_1(X0) != k2_relat_1(X1)
| ~ v2_funct_1(k5_relat_1(X1,X0))
| v2_funct_1(X1) ),
inference(cnf_transformation,[],[f8068]) ).
fof(f12454,plain,
! [X0,X1] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ~ r1_tarski(k2_relat_1(X1),k1_relat_1(X0))
| ~ v2_funct_1(k5_relat_1(X1,X0))
| v2_funct_1(X1) ),
inference(cnf_transformation,[],[f8070]) ).
fof(f12455,plain,
! [X0,X1] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ~ v2_funct_1(X1)
| ~ v2_funct_1(X0)
| v2_funct_1(k5_relat_1(X0,X1)) ),
inference(cnf_transformation,[],[f8072]) ).
fof(f12456,plain,
! [X0,X1] :
( ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| v1_funct_1(sK347(X0,X1))
| ~ r1_tarski(k2_relat_1(X1),X0)
| k2_relat_1(X1) = X0 ),
inference(cnf_transformation,[],[f9829]) ).
fof(f12457,plain,
! [X0,X1] :
( ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| v1_relat_1(sK347(X0,X1))
| ~ r1_tarski(k2_relat_1(X1),X0)
| k2_relat_1(X1) = X0 ),
inference(cnf_transformation,[],[f9829]) ).
fof(f12458,plain,
! [X0,X1] :
( ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| v1_funct_1(sK348(X0,X1))
| ~ r1_tarski(k2_relat_1(X1),X0)
| k2_relat_1(X1) = X0 ),
inference(cnf_transformation,[],[f9829]) ).
fof(f12459,plain,
! [X0,X1] :
( ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| v1_relat_1(sK348(X0,X1))
| ~ r1_tarski(k2_relat_1(X1),X0)
| k2_relat_1(X1) = X0 ),
inference(cnf_transformation,[],[f9829]) ).
fof(f12460,plain,
! [X0,X1] :
( ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| k5_relat_1(X1,sK347(X0,X1)) = k5_relat_1(X1,sK348(X0,X1))
| ~ r1_tarski(k2_relat_1(X1),X0)
| k2_relat_1(X1) = X0 ),
inference(cnf_transformation,[],[f9829]) ).
fof(f12461,plain,
! [X0,X1] :
( ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| k1_relat_1(sK348(X0,X1)) = X0
| ~ r1_tarski(k2_relat_1(X1),X0)
| k2_relat_1(X1) = X0 ),
inference(cnf_transformation,[],[f9829]) ).
fof(f12462,plain,
! [X0,X1] :
( ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| k1_relat_1(sK347(X0,X1)) = X0
| ~ r1_tarski(k2_relat_1(X1),X0)
| k2_relat_1(X1) = X0 ),
inference(cnf_transformation,[],[f9829]) ).
fof(f12463,plain,
! [X0,X1] :
( ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| sK347(X0,X1) != sK348(X0,X1)
| ~ r1_tarski(k2_relat_1(X1),X0)
| k2_relat_1(X1) = X0 ),
inference(cnf_transformation,[],[f9829]) ).
fof(f12464,plain,
! [X0,X1] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| k1_relat_1(X1) != k1_relat_1(k5_relat_1(X1,X0))
| r1_tarski(k2_relat_1(X1),k1_relat_1(X0)) ),
inference(cnf_transformation,[],[f8076]) ).
fof(f12465,plain,
! [X2,X0,X1] :
( ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| ~ r2_hidden(X0,k2_relat_1(k5_relat_1(X2,X1)))
| r2_hidden(X0,k2_relat_1(X1)) ),
inference(cnf_transformation,[],[f8078]) ).
fof(f12466,plain,
! [X2,X0,X1] :
( ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| ~ r2_hidden(X0,k1_relat_1(X1))
| k1_funct_1(k5_relat_1(X1,X2),X0) = k1_funct_1(X2,k1_funct_1(X1,X0)) ),
inference(cnf_transformation,[],[f8080]) ).
fof(f12467,plain,
! [X2,X0,X1] :
( ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| ~ r2_hidden(X0,k1_relat_1(k5_relat_1(X2,X1)))
| k1_funct_1(k5_relat_1(X2,X1),X0) = k1_funct_1(X1,k1_funct_1(X2,X0)) ),
inference(cnf_transformation,[],[f8082]) ).
fof(f12468,plain,
! [X2,X0,X1] :
( ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| ~ r2_hidden(X0,k1_relat_1(k5_relat_1(X2,X1)))
| r2_hidden(k1_funct_1(X2,X0),k1_relat_1(X1)) ),
inference(cnf_transformation,[],[f9831]) ).
fof(f12469,plain,
! [X2,X0,X1] :
( ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| ~ r2_hidden(X0,k1_relat_1(k5_relat_1(X2,X1)))
| r2_hidden(X0,k1_relat_1(X2)) ),
inference(cnf_transformation,[],[f9831]) ).
fof(f12470,plain,
! [X2,X0,X1] :
( ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| ~ r2_hidden(k1_funct_1(X2,X0),k1_relat_1(X1))
| ~ r2_hidden(X0,k1_relat_1(X2))
| r2_hidden(X0,k1_relat_1(k5_relat_1(X2,X1))) ),
inference(cnf_transformation,[],[f9831]) ).
fof(f12471,plain,
! [X2,X0,X1] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| r2_hidden(sK350(X0,X1,X2),k1_relat_1(X2))
| r2_hidden(sK349(X0,X1,X2),k1_relat_1(X2))
| r2_hidden(k1_funct_1(X0,sK349(X0,X1,X2)),k1_relat_1(X1))
| k5_relat_1(X0,X1) = X2 ),
inference(cnf_transformation,[],[f9834]) ).
fof(f12472,plain,
! [X2,X0,X1] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| k1_funct_1(X2,sK350(X0,X1,X2)) != k1_funct_1(X1,k1_funct_1(X0,sK350(X0,X1,X2)))
| r2_hidden(sK349(X0,X1,X2),k1_relat_1(X2))
| r2_hidden(k1_funct_1(X0,sK349(X0,X1,X2)),k1_relat_1(X1))
| k5_relat_1(X0,X1) = X2 ),
inference(cnf_transformation,[],[f9834]) ).
fof(f12473,plain,
! [X2,X0,X1] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| r2_hidden(sK350(X0,X1,X2),k1_relat_1(X2))
| r2_hidden(sK349(X0,X1,X2),k1_relat_1(X2))
| r2_hidden(sK349(X0,X1,X2),k1_relat_1(X0))
| k5_relat_1(X0,X1) = X2 ),
inference(cnf_transformation,[],[f9834]) ).
fof(f12474,plain,
! [X2,X0,X1] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| k1_funct_1(X2,sK350(X0,X1,X2)) != k1_funct_1(X1,k1_funct_1(X0,sK350(X0,X1,X2)))
| r2_hidden(sK349(X0,X1,X2),k1_relat_1(X2))
| r2_hidden(sK349(X0,X1,X2),k1_relat_1(X0))
| k5_relat_1(X0,X1) = X2 ),
inference(cnf_transformation,[],[f9834]) ).
fof(f12475,plain,
! [X2,X0,X1] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| r2_hidden(sK350(X0,X1,X2),k1_relat_1(X2))
| ~ r2_hidden(sK349(X0,X1,X2),k1_relat_1(X2))
| ~ r2_hidden(k1_funct_1(X0,sK349(X0,X1,X2)),k1_relat_1(X1))
| ~ r2_hidden(sK349(X0,X1,X2),k1_relat_1(X0))
| k5_relat_1(X0,X1) = X2 ),
inference(cnf_transformation,[],[f9834]) ).
fof(f12476,plain,
! [X2,X0,X1] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| k1_funct_1(X2,sK350(X0,X1,X2)) != k1_funct_1(X1,k1_funct_1(X0,sK350(X0,X1,X2)))
| ~ r2_hidden(sK349(X0,X1,X2),k1_relat_1(X2))
| ~ r2_hidden(k1_funct_1(X0,sK349(X0,X1,X2)),k1_relat_1(X1))
| ~ r2_hidden(sK349(X0,X1,X2),k1_relat_1(X0))
| k5_relat_1(X0,X1) = X2 ),
inference(cnf_transformation,[],[f9834]) ).
fof(f12477,plain,
! [X0,X1] :
( ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| v1_funct_1(k5_relat_1(X0,X1)) ),
inference(cnf_transformation,[],[f8088]) ).
fof(f12479,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| ~ v1_relat_1(X0)
| v1_relat_1(k5_relat_1(X0,X1)) ),
inference(cnf_transformation,[],[f8090]) ).
fof(f12480,plain,
! [X0,X1] :
( ~ v1_relat_1(X0)
| ~ v1_relat_1(X1)
| k1_relat_1(k5_relat_1(X0,X1)) = k10_relat_1(X0,k1_relat_1(X1)) ),
inference(cnf_transformation,[],[f8091]) ).
fof(f12481,plain,
! [X2,X0,X1] :
( ~ v1_relat_1(X1)
| ~ v1_relat_1(X2)
| k10_relat_1(k5_relat_1(X1,X2),X0) = k10_relat_1(X1,k10_relat_1(X2,X0)) ),
inference(cnf_transformation,[],[f8092]) ).
fof(f12482,plain,
! [X0,X1] :
( ~ v1_relat_1(X0)
| ~ v1_relat_1(X1)
| k2_relat_1(k5_relat_1(X0,X1)) = k9_relat_1(X1,k2_relat_1(X0)) ),
inference(cnf_transformation,[],[f8093]) ).
fof(f12483,plain,
! [X2,X0,X1] :
( ~ v1_relat_1(X1)
| ~ v1_relat_1(X2)
| k9_relat_1(k5_relat_1(X1,X2),X0) = k9_relat_1(X2,k9_relat_1(X1,X0)) ),
inference(cnf_transformation,[],[f8094]) ).
fof(f12484,plain,
! [X0,X1] :
( ~ v1_relat_1(X0)
| ~ v1_relat_1(X1)
| ~ r1_xboole_0(k2_relat_1(X0),k1_relat_1(X1))
| k1_xboole_0 = k5_relat_1(X0,X1) ),
inference(cnf_transformation,[],[f8096]) ).
fof(f12485,plain,
! [X0] :
( ~ v1_relat_1(X0)
| k1_xboole_0 = k5_relat_1(X0,k1_xboole_0) ),
inference(cnf_transformation,[],[f8097]) ).
fof(f12486,plain,
! [X0] :
( ~ v1_relat_1(X0)
| k1_xboole_0 = k5_relat_1(k1_xboole_0,X0) ),
inference(cnf_transformation,[],[f8097]) ).
fof(f12487,plain,
! [X2,X0,X1] :
( ~ v1_relat_1(X0)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X2)
| k5_relat_1(k5_relat_1(X0,X1),X2) = k5_relat_1(X0,k5_relat_1(X1,X2)) ),
inference(cnf_transformation,[],[f8098]) ).
fof(f12488,plain,
! [X2,X0,X1] :
( ~ v1_relat_1(X0)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X2)
| r1_tarski(k5_relat_1(X0,k3_xboole_0(X1,X2)),k3_xboole_0(k5_relat_1(X0,X1),k5_relat_1(X0,X2))) ),
inference(cnf_transformation,[],[f8099]) ).
fof(f12489,plain,
! [X2,X0,X1] :
( ~ v1_relat_1(X0)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X2)
| k5_relat_1(X0,k2_xboole_0(X1,X2)) = k2_xboole_0(k5_relat_1(X0,X1),k5_relat_1(X0,X2)) ),
inference(cnf_transformation,[],[f8100]) ).
fof(f12490,plain,
! [X2,X3,X0,X1] :
( ~ v1_relat_1(X0)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X2)
| ~ v1_relat_1(X3)
| ~ r1_tarski(X2,X3)
| ~ r1_tarski(X0,X1)
| r1_tarski(k5_relat_1(X0,X2),k5_relat_1(X1,X3)) ),
inference(cnf_transformation,[],[f8102]) ).
fof(f12491,plain,
! [X2,X0,X1] :
( ~ v1_relat_1(X0)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X2)
| ~ r1_tarski(X0,X1)
| r1_tarski(k5_relat_1(X0,X2),k5_relat_1(X1,X2)) ),
inference(cnf_transformation,[],[f8104]) ).
fof(f12492,plain,
! [X2,X0,X1] :
( ~ v1_relat_1(X0)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X2)
| ~ r1_tarski(X0,X1)
| r1_tarski(k5_relat_1(X2,X0),k5_relat_1(X2,X1)) ),
inference(cnf_transformation,[],[f8106]) ).
fof(f12493,plain,
! [X0,X1] :
( ~ v1_relat_1(X0)
| ~ v1_relat_1(X1)
| ~ r1_tarski(k1_relat_1(X0),k2_relat_1(X1))
| k2_relat_1(X0) = k2_relat_1(k5_relat_1(X1,X0)) ),
inference(cnf_transformation,[],[f8108]) ).
fof(f12494,plain,
! [X0,X1] :
( ~ v1_relat_1(X0)
| ~ v1_relat_1(X1)
| ~ r1_tarski(k2_relat_1(X0),k1_relat_1(X1))
| k1_relat_1(X0) = k1_relat_1(k5_relat_1(X0,X1)) ),
inference(cnf_transformation,[],[f8110]) ).
fof(f12495,plain,
! [X0,X1] :
( ~ v1_relat_1(X0)
| ~ v1_relat_1(X1)
| r1_tarski(k2_relat_1(k5_relat_1(X0,X1)),k2_relat_1(X1)) ),
inference(cnf_transformation,[],[f8111]) ).
fof(f12496,plain,
! [X0,X1] :
( ~ v1_relat_1(X0)
| ~ v1_relat_1(X1)
| r1_tarski(k1_relat_1(k5_relat_1(X0,X1)),k1_relat_1(X0)) ),
inference(cnf_transformation,[],[f8112]) ).
fof(f12497,plain,
! [X2,X0,X1,X8,X7] :
( ~ v1_relat_1(X0)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X2)
| k5_relat_1(X0,X1) != X2
| ~ r2_hidden(k4_tarski(X7,X8),X2)
| r2_hidden(k4_tarski(sK354(X0,X1,X7,X8),X8),X1) ),
inference(cnf_transformation,[],[f9837]) ).
fof(f12498,plain,
! [X2,X0,X1,X8,X7] :
( ~ v1_relat_1(X0)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X2)
| k5_relat_1(X0,X1) != X2
| ~ r2_hidden(k4_tarski(X7,X8),X2)
| r2_hidden(k4_tarski(X7,sK354(X0,X1,X7,X8)),X0) ),
inference(cnf_transformation,[],[f9837]) ).
fof(f12499,plain,
! [X2,X0,X1,X8,X9,X7] :
( ~ v1_relat_1(X0)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X2)
| k5_relat_1(X0,X1) != X2
| ~ r2_hidden(k4_tarski(X9,X8),X1)
| ~ r2_hidden(k4_tarski(X7,X9),X0)
| r2_hidden(k4_tarski(X7,X8),X2) ),
inference(cnf_transformation,[],[f9837]) ).
fof(f12500,plain,
! [X2,X0,X1] :
( ~ v1_relat_1(X0)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X2)
| r2_hidden(k4_tarski(sK351(X0,X1,X2),sK352(X0,X1,X2)),X2)
| r2_hidden(k4_tarski(sK353(X0,X1,X2),sK352(X0,X1,X2)),X1)
| k5_relat_1(X0,X1) = X2 ),
inference(cnf_transformation,[],[f9837]) ).
fof(f12501,plain,
! [X2,X0,X1] :
( ~ v1_relat_1(X0)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X2)
| r2_hidden(k4_tarski(sK351(X0,X1,X2),sK352(X0,X1,X2)),X2)
| r2_hidden(k4_tarski(sK351(X0,X1,X2),sK353(X0,X1,X2)),X0)
| k5_relat_1(X0,X1) = X2 ),
inference(cnf_transformation,[],[f9837]) ).
fof(f12502,plain,
! [X2,X0,X1,X5] :
( ~ v1_relat_1(X0)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X2)
| ~ r2_hidden(k4_tarski(sK351(X0,X1,X2),sK352(X0,X1,X2)),X2)
| ~ r2_hidden(k4_tarski(X5,sK352(X0,X1,X2)),X1)
| ~ r2_hidden(k4_tarski(sK351(X0,X1,X2),X5),X0)
| k5_relat_1(X0,X1) = X2 ),
inference(cnf_transformation,[],[f9837]) ).
fof(f12503,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| ~ v1_xboole_0(X0)
| v1_relat_1(k5_relat_1(X1,X0)) ),
inference(cnf_transformation,[],[f8115]) ).
fof(f12504,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| ~ v1_xboole_0(X0)
| v1_xboole_0(k5_relat_1(X1,X0)) ),
inference(cnf_transformation,[],[f8115]) ).
fof(f12505,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| ~ v1_xboole_0(X0)
| v1_relat_1(k5_relat_1(X0,X1)) ),
inference(cnf_transformation,[],[f8117]) ).
fof(f12506,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| ~ v1_xboole_0(X0)
| v1_xboole_0(k5_relat_1(X0,X1)) ),
inference(cnf_transformation,[],[f8117]) ).
fof(f12507,plain,
! [X0] : m1_eqrel_1(sK355(X0),X0),
inference(cnf_transformation,[],[f9838]) ).
fof(f12508,plain,
! [X0,X1] :
( ~ m1_eqrel_1(X1,X0)
| m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(X0))) ),
inference(cnf_transformation,[],[f8118]) ).
fof(f12509,plain,
! [X0,X1] :
( v1_xboole_0(X0)
| ~ m1_eqrel_1(X1,X0)
| ~ v1_xboole_0(X1) ),
inference(cnf_transformation,[],[f8119]) ).
fof(f12515,plain,
! [X0,X1] :
( ~ m2_relset_1(X1,X0,X0)
| k3_relat_1(X1) != X0
| ~ v8_relat_2(X1)
| ~ v3_relat_2(X1)
| ~ v1_relat_2(X1)
| v1_partfun1(X1,X0,X0) ),
inference(cnf_transformation,[],[f9840]) ).
fof(f12518,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X2,X0,X1)
| r1_tarski(k3_relat_1(X2),k2_xboole_0(X0,X1)) ),
inference(cnf_transformation,[],[f8121]) ).
fof(f12519,plain,
! [X0] :
( ~ v1_relat_1(X0)
| ~ v1_relat_2(X0)
| r1_tarski(k6_relat_1(k3_relat_1(X0)),X0) ),
inference(cnf_transformation,[],[f9841]) ).
fof(f12520,plain,
! [X0] :
( ~ v1_relat_1(X0)
| ~ r1_tarski(k6_relat_1(k3_relat_1(X0)),X0)
| v1_relat_2(X0) ),
inference(cnf_transformation,[],[f9841]) ).
fof(f12521,plain,
! [X0] :
( ~ v1_relat_1(X0)
| k3_relat_1(X0) = k3_relat_1(k4_relat_1(X0)) ),
inference(cnf_transformation,[],[f8123]) ).
fof(f12522,plain,
! [X0,X1] :
( ~ v1_relat_1(X0)
| ~ v1_relat_1(X1)
| r1_tarski(k3_relat_1(k3_xboole_0(X0,X1)),k3_xboole_0(k3_relat_1(X0),k3_relat_1(X1))) ),
inference(cnf_transformation,[],[f8124]) ).
fof(f12523,plain,
! [X0,X1] :
( ~ v1_relat_1(X0)
| ~ v1_relat_1(X1)
| k3_relat_1(k2_xboole_0(X0,X1)) = k2_xboole_0(k3_relat_1(X0),k3_relat_1(X1)) ),
inference(cnf_transformation,[],[f8125]) ).
fof(f12524,plain,
! [X2,X0,X1] :
( ~ v1_relat_1(X2)
| k1_tarski(k4_tarski(X0,X1)) != X2
| k2_tarski(X0,X1) = k3_relat_1(X2) ),
inference(cnf_transformation,[],[f8127]) ).
fof(f12525,plain,
! [X0,X1] :
( ~ v1_relat_1(X0)
| ~ v1_relat_1(X1)
| ~ r1_tarski(X0,X1)
| r1_tarski(k3_relat_1(X0),k3_relat_1(X1)) ),
inference(cnf_transformation,[],[f8129]) ).
fof(f12526,plain,
! [X2,X0,X1] :
( ~ v1_relat_1(X2)
| ~ r2_hidden(k4_tarski(X0,X1),X2)
| r2_hidden(X1,k3_relat_1(X2)) ),
inference(cnf_transformation,[],[f8131]) ).
fof(f12527,plain,
! [X2,X0,X1] :
( ~ v1_relat_1(X2)
| ~ r2_hidden(k4_tarski(X0,X1),X2)
| r2_hidden(X0,k3_relat_1(X2)) ),
inference(cnf_transformation,[],[f8131]) ).
fof(f12528,plain,
! [X0] :
( ~ v1_relat_1(X0)
| r1_tarski(k2_relat_1(X0),k3_relat_1(X0)) ),
inference(cnf_transformation,[],[f8132]) ).
fof(f12529,plain,
! [X0] :
( ~ v1_relat_1(X0)
| r1_tarski(k1_relat_1(X0),k3_relat_1(X0)) ),
inference(cnf_transformation,[],[f8132]) ).
fof(f12530,plain,
! [X0] :
( ~ v1_relat_1(X0)
| k3_relat_1(X0) = k2_xboole_0(k1_relat_1(X0),k2_relat_1(X0)) ),
inference(cnf_transformation,[],[f8133]) ).
fof(f12531,plain,
! [X2,X10,X0,X1,X8,X9,X7] :
( v1_xboole_0(X0)
| ~ v1_relat_1(X1)
| ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ m2_filter_1(X2,X0,X1)
| ~ m1_subset_1(X7,X0)
| ~ m1_subset_1(X8,X0)
| ~ m1_subset_1(X9,X0)
| ~ m1_subset_1(X10,X0)
| ~ r2_hidden(k1_domain_1(X0,X0,X9,X10),X1)
| ~ r2_hidden(k1_domain_1(X0,X0,X7,X8),X1)
| r2_hidden(k1_domain_1(X0,X0,k2_binop_1(X0,X0,X0,X2,X7,X9),k2_binop_1(X0,X0,X0,X2,X8,X10)),X1) ),
inference(cnf_transformation,[],[f9844]) ).
fof(f12532,plain,
! [X2,X0,X1] :
( v1_xboole_0(X0)
| ~ v1_relat_1(X1)
| ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| m1_subset_1(sK356(X0,X1,X2),X0)
| m2_filter_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f9844]) ).
fof(f12533,plain,
! [X2,X0,X1] :
( v1_xboole_0(X0)
| ~ v1_relat_1(X1)
| ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| m1_subset_1(sK357(X0,X1,X2),X0)
| m2_filter_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f9844]) ).
fof(f12534,plain,
! [X2,X0,X1] :
( v1_xboole_0(X0)
| ~ v1_relat_1(X1)
| ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| m1_subset_1(sK358(X0,X1,X2),X0)
| m2_filter_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f9844]) ).
fof(f12535,plain,
! [X2,X0,X1] :
( v1_xboole_0(X0)
| ~ v1_relat_1(X1)
| ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| m1_subset_1(sK359(X0,X1,X2),X0)
| m2_filter_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f9844]) ).
fof(f12536,plain,
! [X2,X0,X1] :
( v1_xboole_0(X0)
| ~ v1_relat_1(X1)
| ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| r2_hidden(k1_domain_1(X0,X0,sK358(X0,X1,X2),sK359(X0,X1,X2)),X1)
| m2_filter_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f9844]) ).
fof(f12537,plain,
! [X2,X0,X1] :
( v1_xboole_0(X0)
| ~ v1_relat_1(X1)
| ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| r2_hidden(k1_domain_1(X0,X0,sK356(X0,X1,X2),sK357(X0,X1,X2)),X1)
| m2_filter_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f9844]) ).
fof(f12538,plain,
! [X2,X0,X1] :
( v1_xboole_0(X0)
| ~ v1_relat_1(X1)
| ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ r2_hidden(k1_domain_1(X0,X0,k2_binop_1(X0,X0,X0,X2,sK356(X0,X1,X2),sK358(X0,X1,X2)),k2_binop_1(X0,X0,X0,X2,sK357(X0,X1,X2),sK359(X0,X1,X2))),X1)
| m2_filter_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f9844]) ).
fof(f12539,plain,
! [X2,X3,X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ m1_subset_1(X2,u2_cat_1(X0))
| ~ m1_subset_1(X3,u2_cat_1(X1))
| m1_subset_1(k1_domain_1(u2_cat_1(X0),u2_cat_1(X1),X2,X3),u2_cat_1(k11_cat_2(X0,X1))) ),
inference(cnf_transformation,[],[f8137]) ).
fof(f12540,plain,
! [X2,X3,X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ m1_subset_1(X2,u1_cat_1(X0))
| ~ m1_subset_1(X3,u1_cat_1(X1))
| m1_subset_1(k1_domain_1(u1_cat_1(X0),u1_cat_1(X1),X2,X3),u1_cat_1(k11_cat_2(X0,X1))) ),
inference(cnf_transformation,[],[f8139]) ).
fof(f12541,plain,
! [X2,X0,X1] :
( ~ l1_rlvect_1(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| k2_rlvect_1(X0,X1,X2) = k8_funct_2(k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0),u1_rlvect_1(X0),k1_domain_1(u1_struct_0(X0),u1_struct_0(X0),X1,X2)) ),
inference(cnf_transformation,[],[f8141]) ).
fof(f12542,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ l3_lattices(X0)
| ~ v3_filter_0(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_filter_0(X1,X0)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X3,u1_struct_0(X0))
| ~ m1_subset_1(X4,u1_struct_0(X0))
| ~ m1_subset_1(X5,u1_struct_0(X0))
| ~ r2_hidden(k9_filter_0(X0,X4,X5),X1)
| ~ r2_hidden(k9_filter_0(X0,X2,X3),X1)
| r2_hidden(k9_filter_0(X0,k4_lattices(X0,X2,X4),k4_lattices(X0,X3,X5)),X1) ),
inference(cnf_transformation,[],[f8143]) ).
fof(f12543,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ l3_lattices(X0)
| ~ v3_filter_0(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_filter_0(X1,X0)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X3,u1_struct_0(X0))
| ~ m1_subset_1(X4,u1_struct_0(X0))
| ~ m1_subset_1(X5,u1_struct_0(X0))
| ~ r2_hidden(k9_filter_0(X0,X4,X5),X1)
| ~ r2_hidden(k9_filter_0(X0,X2,X3),X1)
| r2_hidden(k9_filter_0(X0,k3_lattices(X0,X2,X4),k3_lattices(X0,X3,X5)),X1) ),
inference(cnf_transformation,[],[f8143]) ).
fof(f12544,plain,
! [X2,X0,X1] :
( ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| k9_filter_0(X0,X1,k9_filter_0(X0,X1,X2)) = X2 ),
inference(cnf_transformation,[],[f8145]) ).
fof(f12545,plain,
! [X2,X3,X0,X1] :
( ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X3,u1_struct_0(X0))
| k9_filter_0(X0,X1,X2) != k9_filter_0(X0,X1,X3)
| X2 = X3 ),
inference(cnf_transformation,[],[f8147]) ).
fof(f12546,plain,
! [X2,X0,X1] :
( ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| k7_lattices(X0,k9_filter_0(X0,X1,X2)) = k9_filter_0(X0,k7_lattices(X0,X1),X2) ),
inference(cnf_transformation,[],[f8149]) ).
fof(f12547,plain,
! [X2,X0,X1] :
( ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| k7_lattices(X0,k9_filter_0(X0,X1,X2)) = k9_filter_0(X0,X1,k7_lattices(X0,X2)) ),
inference(cnf_transformation,[],[f8149]) ).
fof(f12548,plain,
! [X2,X0,X1] :
( ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| k7_lattices(X0,k9_filter_0(X0,X1,X2)) = k3_lattices(X0,k4_lattices(X0,X1,k7_lattices(X0,X2)),k4_lattices(X0,k7_lattices(X0,X1),X2)) ),
inference(cnf_transformation,[],[f8149]) ).
fof(f12549,plain,
! [X2,X0,X1] :
( ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| k4_lattices(X0,X1,k7_lattices(X0,X2)) = k7_lattices(X0,k4_filter_0(X0,X1,X2)) ),
inference(cnf_transformation,[],[f8149]) ).
fof(f12550,plain,
! [X2,X0,X1] :
( ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| k9_filter_0(X0,X1,X2) = k3_lattices(X0,k4_lattices(X0,X1,X2),k4_lattices(X0,k7_lattices(X0,X1),k7_lattices(X0,X2))) ),
inference(cnf_transformation,[],[f8151]) ).
fof(f12551,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| m1_subset_1(k9_filter_0(X0,X1,X2),u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f8153]) ).
fof(f12552,plain,
! [X2,X3,X0,X1,X4] :
( ~ l3_lattices(X0)
| ~ v3_filter_0(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X3,u1_struct_0(X0))
| ~ m1_filter_0(X4,X0)
| ~ r2_hidden(k9_filter_0(X0,X2,X3),X4)
| ~ r2_hidden(k9_filter_0(X0,X1,X2),X4)
| r2_hidden(k9_filter_0(X0,X1,X3),X4) ),
inference(cnf_transformation,[],[f8155]) ).
fof(f12553,plain,
! [X2,X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| k9_filter_0(X0,X1,X2) = k9_filter_0(X0,X2,X1) ),
inference(cnf_transformation,[],[f8157]) ).
fof(f12554,plain,
! [X2,X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| k9_filter_0(X0,X1,X2) = k4_lattices(X0,k4_filter_0(X0,X1,X2),k4_filter_0(X0,X2,X1)) ),
inference(cnf_transformation,[],[f8159]) ).
fof(f12556,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| r6_binop_1(u1_struct_0(X0),u1_lattices(X0),u1_lattices(X0)) ),
inference(cnf_transformation,[],[f8163]) ).
fof(f12557,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ r6_binop_1(u1_struct_0(X0),u1_lattices(X0),u2_lattices(X0))
| v11_lattices(X0) ),
inference(cnf_transformation,[],[f8165]) ).
fof(f12559,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ r6_binop_1(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0))
| v11_lattices(X0) ),
inference(cnf_transformation,[],[f8169]) ).
fof(f12561,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| r6_binop_1(u1_struct_0(X0),u2_lattices(X0),u2_lattices(X0)) ),
inference(cnf_transformation,[],[f8173]) ).
fof(f12562,plain,
! [X2,X0,X1,X8,X6,X7] :
( v1_xboole_0(X0)
| ~ m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ v1_binop_1(X2,X0)
| ~ r6_binop_1(X0,X2,X1)
| ~ m1_subset_1(X6,X0)
| ~ m1_subset_1(X7,X0)
| ~ m1_subset_1(X8,X0)
| k2_binop_1(X0,X0,X0,X2,k2_binop_1(X0,X0,X0,X1,X6,X7),X8) = k2_binop_1(X0,X0,X0,X1,k2_binop_1(X0,X0,X0,X2,X6,X8),k2_binop_1(X0,X0,X0,X2,X7,X8)) ),
inference(cnf_transformation,[],[f9847]) ).
fof(f12563,plain,
! [X2,X0,X1] :
( v1_xboole_0(X0)
| ~ m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ v1_binop_1(X2,X0)
| m1_subset_1(sK360(X0,X1,X2),X0)
| r6_binop_1(X0,X2,X1) ),
inference(cnf_transformation,[],[f9847]) ).
fof(f12564,plain,
! [X2,X0,X1] :
( v1_xboole_0(X0)
| ~ m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ v1_binop_1(X2,X0)
| m1_subset_1(sK361(X0,X1,X2),X0)
| r6_binop_1(X0,X2,X1) ),
inference(cnf_transformation,[],[f9847]) ).
fof(f12565,plain,
! [X2,X0,X1] :
( v1_xboole_0(X0)
| ~ m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ v1_binop_1(X2,X0)
| m1_subset_1(sK362(X0,X1,X2),X0)
| r6_binop_1(X0,X2,X1) ),
inference(cnf_transformation,[],[f9847]) ).
fof(f12566,plain,
! [X2,X0,X1] :
( v1_xboole_0(X0)
| ~ m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ v1_binop_1(X2,X0)
| k2_binop_1(X0,X0,X0,X2,k2_binop_1(X0,X0,X0,X1,sK360(X0,X1,X2),sK361(X0,X1,X2)),sK362(X0,X1,X2)) != k2_binop_1(X0,X0,X0,X1,k2_binop_1(X0,X0,X0,X2,sK360(X0,X1,X2),sK362(X0,X1,X2)),k2_binop_1(X0,X0,X0,X2,sK361(X0,X1,X2),sK362(X0,X1,X2)))
| r6_binop_1(X0,X2,X1) ),
inference(cnf_transformation,[],[f9847]) ).
fof(f12567,plain,
! [X2,X0,X1,X8,X6,X7] :
( v1_xboole_0(X0)
| ~ m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ v1_binop_1(X2,X0)
| ~ r6_binop_1(X0,X2,X1)
| ~ m1_subset_1(X6,X0)
| ~ m1_subset_1(X7,X0)
| ~ m1_subset_1(X8,X0)
| k2_binop_1(X0,X0,X0,X2,X6,k2_binop_1(X0,X0,X0,X1,X7,X8)) = k2_binop_1(X0,X0,X0,X1,k2_binop_1(X0,X0,X0,X2,X6,X7),k2_binop_1(X0,X0,X0,X2,X6,X8)) ),
inference(cnf_transformation,[],[f9850]) ).
fof(f12568,plain,
! [X2,X0,X1] :
( v1_xboole_0(X0)
| ~ m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ v1_binop_1(X2,X0)
| m1_subset_1(sK363(X0,X1,X2),X0)
| r6_binop_1(X0,X2,X1) ),
inference(cnf_transformation,[],[f9850]) ).
fof(f12569,plain,
! [X2,X0,X1] :
( v1_xboole_0(X0)
| ~ m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ v1_binop_1(X2,X0)
| m1_subset_1(sK364(X0,X1,X2),X0)
| r6_binop_1(X0,X2,X1) ),
inference(cnf_transformation,[],[f9850]) ).
fof(f12570,plain,
! [X2,X0,X1] :
( v1_xboole_0(X0)
| ~ m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ v1_binop_1(X2,X0)
| m1_subset_1(sK365(X0,X1,X2),X0)
| r6_binop_1(X0,X2,X1) ),
inference(cnf_transformation,[],[f9850]) ).
fof(f12571,plain,
! [X2,X0,X1] :
( v1_xboole_0(X0)
| ~ m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ v1_binop_1(X2,X0)
| k2_binop_1(X0,X0,X0,X2,sK363(X0,X1,X2),k2_binop_1(X0,X0,X0,X1,sK364(X0,X1,X2),sK365(X0,X1,X2))) != k2_binop_1(X0,X0,X0,X1,k2_binop_1(X0,X0,X0,X2,sK363(X0,X1,X2),sK364(X0,X1,X2)),k2_binop_1(X0,X0,X0,X2,sK363(X0,X1,X2),sK365(X0,X1,X2)))
| r6_binop_1(X0,X2,X1) ),
inference(cnf_transformation,[],[f9850]) ).
fof(f12572,plain,
! [X2,X0,X1,X8,X6,X7] :
( ~ m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ r6_binop_1(X0,X1,X2)
| ~ m1_subset_1(X6,X0)
| ~ m1_subset_1(X7,X0)
| ~ m1_subset_1(X8,X0)
| k1_binop_1(X1,k1_binop_1(X2,X6,X7),X8) = k1_binop_1(X2,k1_binop_1(X1,X6,X8),k1_binop_1(X1,X7,X8)) ),
inference(cnf_transformation,[],[f9853]) ).
fof(f12573,plain,
! [X2,X0,X1,X8,X6,X7] :
( ~ m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ r6_binop_1(X0,X1,X2)
| ~ m1_subset_1(X6,X0)
| ~ m1_subset_1(X7,X0)
| ~ m1_subset_1(X8,X0)
| k1_binop_1(X1,X6,k1_binop_1(X2,X7,X8)) = k1_binop_1(X2,k1_binop_1(X1,X6,X7),k1_binop_1(X1,X6,X8)) ),
inference(cnf_transformation,[],[f9853]) ).
fof(f12574,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| m1_subset_1(sK366(X0,X1,X2),X0)
| r6_binop_1(X0,X1,X2) ),
inference(cnf_transformation,[],[f9853]) ).
fof(f12575,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| m1_subset_1(sK367(X0,X1,X2),X0)
| r6_binop_1(X0,X1,X2) ),
inference(cnf_transformation,[],[f9853]) ).
fof(f12576,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| m1_subset_1(sK368(X0,X1,X2),X0)
| r6_binop_1(X0,X1,X2) ),
inference(cnf_transformation,[],[f9853]) ).
fof(f12577,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| k1_binop_1(X1,k1_binop_1(X2,sK366(X0,X1,X2),sK367(X0,X1,X2)),sK368(X0,X1,X2)) != k1_binop_1(X2,k1_binop_1(X1,sK366(X0,X1,X2),sK368(X0,X1,X2)),k1_binop_1(X1,sK367(X0,X1,X2),sK368(X0,X1,X2)))
| k1_binop_1(X1,sK366(X0,X1,X2),k1_binop_1(X2,sK367(X0,X1,X2),sK368(X0,X1,X2))) != k1_binop_1(X2,k1_binop_1(X1,sK366(X0,X1,X2),sK367(X0,X1,X2)),k1_binop_1(X1,sK366(X0,X1,X2),sK368(X0,X1,X2)))
| r6_binop_1(X0,X1,X2) ),
inference(cnf_transformation,[],[f9853]) ).
fof(f12578,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| v1_xboole_0(X0)
| m2_filter_1(sK369(X0,X1),X0,X1) ),
inference(cnf_transformation,[],[f9854]) ).
fof(f12579,plain,
! [X2,X0,X1] :
( ~ v1_relat_1(X1)
| v1_xboole_0(X0)
| ~ m2_filter_1(X2,X0,X1)
| m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0) ),
inference(cnf_transformation,[],[f8183]) ).
fof(f12580,plain,
! [X2,X0,X1] :
( ~ v1_relat_1(X1)
| v1_xboole_0(X0)
| ~ m2_filter_1(X2,X0,X1)
| v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0) ),
inference(cnf_transformation,[],[f8183]) ).
fof(f12581,plain,
! [X2,X0,X1] :
( ~ v1_relat_1(X1)
| v1_xboole_0(X0)
| ~ m2_filter_1(X2,X0,X1)
| v1_funct_1(X2) ),
inference(cnf_transformation,[],[f8183]) ).
fof(f12582,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X2,X0)
| ~ m1_relset_1(X1,X0,X0)
| ~ v1_partfun1(X1,X0,X0)
| ~ v8_relat_2(X1)
| ~ v3_relat_2(X1)
| v1_xboole_0(X0)
| k6_eqrel_1(X0,X1,X2) = k2_filter_1(X0,X1,X2) ),
inference(cnf_transformation,[],[f8185]) ).
fof(f12583,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X2,X0)
| ~ m1_relset_1(X1,X0,X0)
| ~ v1_partfun1(X1,X0,X0)
| ~ v8_relat_2(X1)
| ~ v3_relat_2(X1)
| v1_xboole_0(X0)
| m2_subset_1(k2_filter_1(X0,X1,X2),k1_zfmisc_1(X0),k8_eqrel_1(X0,X1)) ),
inference(cnf_transformation,[],[f8187]) ).
fof(f12584,plain,
! [X2,X3,X0,X1] :
( v1_xboole_0(X0)
| ~ m2_relset_1(X1,X0,X0)
| ~ v1_partfun1(X1,X0,X0)
| ~ v8_relat_2(X1)
| ~ v3_relat_2(X1)
| ~ m1_subset_1(X2,X0)
| ~ m2_filter_1(X3,X0,X1)
| ~ r2_binop_1(X0,X2,X3)
| r2_binop_1(k8_eqrel_1(X0,X1),k2_filter_1(X0,X1,X2),k4_filter_1(X0,X1,X3)) ),
inference(cnf_transformation,[],[f8189]) ).
fof(f12585,plain,
! [X2,X3,X0,X1] :
( v1_xboole_0(X0)
| ~ m2_relset_1(X1,X0,X0)
| ~ v1_partfun1(X1,X0,X0)
| ~ v8_relat_2(X1)
| ~ v3_relat_2(X1)
| ~ m1_subset_1(X2,X0)
| ~ m2_filter_1(X3,X0,X1)
| ~ r1_binop_1(X0,X2,X3)
| r1_binop_1(k8_eqrel_1(X0,X1),k2_filter_1(X0,X1,X2),k4_filter_1(X0,X1,X3)) ),
inference(cnf_transformation,[],[f8191]) ).
fof(f12586,plain,
! [X3,X0,X4] :
( ~ l1_rlvect_1(X0)
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ m1_subset_1(X3,u1_struct_0(X0))
| ~ m1_subset_1(X4,u1_struct_0(X0))
| k1_binop_1(u1_rlvect_1(X0),X3,X4) = k1_binop_1(u1_rlvect_1(X0),X4,X3) ),
inference(cnf_transformation,[],[f9857]) ).
fof(f12587,plain,
! [X0] :
( ~ l1_rlvect_1(X0)
| v3_struct_0(X0)
| m1_subset_1(sK370(X0),u1_struct_0(X0))
| v3_rlvect_1(X0) ),
inference(cnf_transformation,[],[f9857]) ).
fof(f12588,plain,
! [X0] :
( ~ l1_rlvect_1(X0)
| v3_struct_0(X0)
| m1_subset_1(sK371(X0),u1_struct_0(X0))
| v3_rlvect_1(X0) ),
inference(cnf_transformation,[],[f9857]) ).
fof(f12589,plain,
! [X0] :
( ~ l1_rlvect_1(X0)
| v3_struct_0(X0)
| k1_binop_1(u1_rlvect_1(X0),sK370(X0),sK371(X0)) != k1_binop_1(u1_rlvect_1(X0),sK371(X0),sK370(X0))
| v3_rlvect_1(X0) ),
inference(cnf_transformation,[],[f9857]) ).
fof(f12590,plain,
! [X0,X6,X4,X5] :
( ~ l1_rlvect_1(X0)
| v3_struct_0(X0)
| ~ v4_rlvect_1(X0)
| ~ m1_subset_1(X4,u1_struct_0(X0))
| ~ m1_subset_1(X5,u1_struct_0(X0))
| ~ m1_subset_1(X6,u1_struct_0(X0))
| k1_binop_1(u1_rlvect_1(X0),k1_binop_1(u1_rlvect_1(X0),X4,X5),X6) = k1_binop_1(u1_rlvect_1(X0),X4,k1_binop_1(u1_rlvect_1(X0),X5,X6)) ),
inference(cnf_transformation,[],[f9860]) ).
fof(f12591,plain,
! [X0] :
( ~ l1_rlvect_1(X0)
| v3_struct_0(X0)
| m1_subset_1(sK372(X0),u1_struct_0(X0))
| v4_rlvect_1(X0) ),
inference(cnf_transformation,[],[f9860]) ).
fof(f12592,plain,
! [X0] :
( ~ l1_rlvect_1(X0)
| v3_struct_0(X0)
| m1_subset_1(sK373(X0),u1_struct_0(X0))
| v4_rlvect_1(X0) ),
inference(cnf_transformation,[],[f9860]) ).
fof(f12593,plain,
! [X0] :
( ~ l1_rlvect_1(X0)
| v3_struct_0(X0)
| m1_subset_1(sK374(X0),u1_struct_0(X0))
| v4_rlvect_1(X0) ),
inference(cnf_transformation,[],[f9860]) ).
fof(f12594,plain,
! [X0] :
( ~ l1_rlvect_1(X0)
| v3_struct_0(X0)
| k1_binop_1(u1_rlvect_1(X0),k1_binop_1(u1_rlvect_1(X0),sK372(X0),sK373(X0)),sK374(X0)) != k1_binop_1(u1_rlvect_1(X0),sK372(X0),k1_binop_1(u1_rlvect_1(X0),sK373(X0),sK374(X0)))
| v4_rlvect_1(X0) ),
inference(cnf_transformation,[],[f9860]) ).
fof(f12595,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ m1_subset_1(X5,X1)
| ~ m1_subset_1(X4,X0)
| ~ m1_relset_1(X3,k2_zfmisc_1(X0,X1),X2)
| ~ v1_funct_2(X3,k2_zfmisc_1(X0,X1),X2)
| ~ v1_funct_1(X3)
| v1_xboole_0(X1)
| v1_xboole_0(X0)
| k2_binop_1(X0,X1,X2,X3,X4,X5) = k1_binop_1(X3,X4,X5) ),
inference(cnf_transformation,[],[f8197]) ).
fof(f12596,plain,
! [X0,X1,X6,X7,X5] :
( ~ m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| ~ v2_binop_1(X1,X0)
| ~ m1_subset_1(X5,X0)
| ~ m1_subset_1(X6,X0)
| ~ m1_subset_1(X7,X0)
| k1_binop_1(X1,X5,k1_binop_1(X1,X6,X7)) = k1_binop_1(X1,k1_binop_1(X1,X5,X6),X7) ),
inference(cnf_transformation,[],[f9863]) ).
fof(f12597,plain,
! [X0,X1] :
( ~ m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| m1_subset_1(sK375(X0,X1),X0)
| v2_binop_1(X1,X0) ),
inference(cnf_transformation,[],[f9863]) ).
fof(f12598,plain,
! [X0,X1] :
( ~ m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| m1_subset_1(sK376(X0,X1),X0)
| v2_binop_1(X1,X0) ),
inference(cnf_transformation,[],[f9863]) ).
fof(f12599,plain,
! [X0,X1] :
( ~ m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| m1_subset_1(sK377(X0,X1),X0)
| v2_binop_1(X1,X0) ),
inference(cnf_transformation,[],[f9863]) ).
fof(f12600,plain,
! [X0,X1] :
( ~ m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| k1_binop_1(X1,sK375(X0,X1),k1_binop_1(X1,sK376(X0,X1),sK377(X0,X1))) != k1_binop_1(X1,k1_binop_1(X1,sK375(X0,X1),sK376(X0,X1)),sK377(X0,X1))
| v2_binop_1(X1,X0) ),
inference(cnf_transformation,[],[f9863]) ).
fof(f12601,plain,
! [X0,X1,X4,X5] :
( ~ m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| ~ v1_binop_1(X1,X0)
| ~ m1_subset_1(X4,X0)
| ~ m1_subset_1(X5,X0)
| k1_binop_1(X1,X4,X5) = k1_binop_1(X1,X5,X4) ),
inference(cnf_transformation,[],[f9866]) ).
fof(f12602,plain,
! [X0,X1] :
( ~ m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| m1_subset_1(sK378(X0,X1),X0)
| v1_binop_1(X1,X0) ),
inference(cnf_transformation,[],[f9866]) ).
fof(f12603,plain,
! [X0,X1] :
( ~ m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| m1_subset_1(sK379(X0,X1),X0)
| v1_binop_1(X1,X0) ),
inference(cnf_transformation,[],[f9866]) ).
fof(f12604,plain,
! [X0,X1] :
( ~ m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| k1_binop_1(X1,sK378(X0,X1),sK379(X0,X1)) != k1_binop_1(X1,sK379(X0,X1),sK378(X0,X1))
| v1_binop_1(X1,X0) ),
inference(cnf_transformation,[],[f9866]) ).
fof(f12605,plain,
! [X2,X0,X1] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| k1_funct_1(X0,k4_tarski(X1,X2)) = k1_binop_1(X0,X1,X2) ),
inference(cnf_transformation,[],[f8203]) ).
fof(f12606,plain,
! [X2,X0,X1] :
( ~ m1_relset_1(X1,X0,X0)
| ~ v1_partfun1(X1,X0,X0)
| ~ v3_relat_2(X1)
| ~ v1_relat_2(X1)
| m1_subset_1(k6_eqrel_1(X0,X1,X2),k1_zfmisc_1(X0)) ),
inference(cnf_transformation,[],[f8205]) ).
fof(f12607,plain,
! [X2,X3,X0,X1] :
( ~ m2_relset_1(X2,X0,X0)
| ~ v1_partfun1(X2,X0,X0)
| ~ v8_relat_2(X2)
| ~ v3_relat_2(X2)
| ~ r2_hidden(X3,X0)
| ~ r2_hidden(k4_tarski(X3,X1),X2)
| k6_eqrel_1(X0,X2,X3) = k6_eqrel_1(X0,X2,X1) ),
inference(cnf_transformation,[],[f9867]) ).
fof(f12608,plain,
! [X2,X3,X0,X1] :
( ~ m2_relset_1(X2,X0,X0)
| ~ v1_partfun1(X2,X0,X0)
| ~ v8_relat_2(X2)
| ~ v3_relat_2(X2)
| ~ r2_hidden(X3,X0)
| k6_eqrel_1(X0,X2,X3) != k6_eqrel_1(X0,X2,X1)
| r2_hidden(k4_tarski(X3,X1),X2) ),
inference(cnf_transformation,[],[f9867]) ).
fof(f12609,plain,
! [X0,X1] :
( ~ r2_hidden(X1,X0)
| k1_tarski(X1) = k6_eqrel_1(X0,k6_partfun1(X0),X1) ),
inference(cnf_transformation,[],[f8208]) ).
fof(f12610,plain,
! [X2,X3,X0,X1] :
( ~ m2_relset_1(X1,X0,X0)
| ~ v1_partfun1(X1,X0,X0)
| ~ v8_relat_2(X1)
| ~ v3_relat_2(X1)
| r1_xboole_0(k6_eqrel_1(X0,X1,X2),k6_eqrel_1(X0,X1,X3))
| k6_eqrel_1(X0,X1,X2) = k6_eqrel_1(X0,X1,X3)
| ~ r2_hidden(X3,X0)
| ~ r2_hidden(X2,X0) ),
inference(cnf_transformation,[],[f8210]) ).
fof(f12611,plain,
! [X2,X3,X0,X1] :
( ~ m2_relset_1(X2,X0,X0)
| ~ v1_partfun1(X2,X0,X0)
| ~ v8_relat_2(X2)
| ~ v3_relat_2(X2)
| ~ r2_hidden(X3,X0)
| ~ r2_hidden(X1,k6_eqrel_1(X0,X2,X3))
| k6_eqrel_1(X0,X2,X3) = k6_eqrel_1(X0,X2,X1) ),
inference(cnf_transformation,[],[f9868]) ).
fof(f12612,plain,
! [X2,X3,X0,X1] :
( ~ m2_relset_1(X2,X0,X0)
| ~ v1_partfun1(X2,X0,X0)
| ~ v8_relat_2(X2)
| ~ v3_relat_2(X2)
| ~ r2_hidden(X3,X0)
| k6_eqrel_1(X0,X2,X3) != k6_eqrel_1(X0,X2,X1)
| r2_hidden(X1,k6_eqrel_1(X0,X2,X3)) ),
inference(cnf_transformation,[],[f9868]) ).
fof(f12613,plain,
! [X2,X3,X0,X1,X4] :
( ~ m2_relset_1(X4,X0,X0)
| ~ v1_partfun1(X4,X0,X0)
| ~ v8_relat_2(X4)
| ~ v3_relat_2(X4)
| ~ v1_relat_2(X4)
| ~ r2_hidden(X3,k6_eqrel_1(X0,X4,X2))
| ~ r2_hidden(X1,k6_eqrel_1(X0,X4,X2))
| r2_hidden(k4_tarski(X1,X3),X4) ),
inference(cnf_transformation,[],[f8214]) ).
fof(f12614,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X1,X0,X0)
| ~ v1_partfun1(X1,X0,X0)
| ~ v3_relat_2(X1)
| ~ v1_relat_2(X1)
| r2_hidden(X2,k6_eqrel_1(X0,X1,sK380(X0,X1,X2)))
| ~ r2_hidden(X2,X0) ),
inference(cnf_transformation,[],[f9869]) ).
fof(f12615,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X1,X0,X0)
| ~ v1_partfun1(X1,X0,X0)
| ~ v3_relat_2(X1)
| ~ v1_relat_2(X1)
| ~ r2_hidden(X2,X0)
| r2_hidden(X2,k6_eqrel_1(X0,X1,X2)) ),
inference(cnf_transformation,[],[f8218]) ).
fof(f12616,plain,
! [X2,X3,X0,X1] :
( ~ m2_relset_1(X3,X0,X0)
| ~ v1_partfun1(X3,X0,X0)
| ~ v3_relat_2(X3)
| ~ v1_relat_2(X3)
| ~ r2_hidden(X1,k6_eqrel_1(X0,X3,X2))
| r2_hidden(k4_tarski(X1,X2),X3) ),
inference(cnf_transformation,[],[f9870]) ).
fof(f12617,plain,
! [X2,X3,X0,X1] :
( ~ m2_relset_1(X3,X0,X0)
| ~ v1_partfun1(X3,X0,X0)
| ~ v3_relat_2(X3)
| ~ v1_relat_2(X3)
| ~ r2_hidden(k4_tarski(X1,X2),X3)
| r2_hidden(X1,k6_eqrel_1(X0,X3,X2)) ),
inference(cnf_transformation,[],[f9870]) ).
fof(f12618,plain,
! [X2,X3,X0,X6,X4,X5] :
( ~ r2_hidden(X6,sK381(X0))
| ~ r2_hidden(X5,X6)
| ~ r2_hidden(X4,X5)
| ~ r2_hidden(X3,X4)
| ~ r2_hidden(X2,X3)
| r1_xboole_0(X2,X0)
| k1_xboole_0 = X0 ),
inference(cnf_transformation,[],[f9871]) ).
fof(f12619,plain,
! [X0] :
( r2_hidden(sK381(X0),X0)
| k1_xboole_0 = X0 ),
inference(cnf_transformation,[],[f9871]) ).
fof(f12620,plain,
! [X2,X3,X0,X4,X5] :
( ~ r2_hidden(X5,sK382(X0))
| ~ r2_hidden(X4,X5)
| ~ r2_hidden(X3,X4)
| ~ r2_hidden(X2,X3)
| r1_xboole_0(X2,X0)
| k1_xboole_0 = X0 ),
inference(cnf_transformation,[],[f9872]) ).
fof(f12621,plain,
! [X0] :
( r2_hidden(sK382(X0),X0)
| k1_xboole_0 = X0 ),
inference(cnf_transformation,[],[f9872]) ).
fof(f12622,plain,
! [X2,X3,X0,X4] :
( ~ r2_hidden(X4,sK383(X0))
| ~ r2_hidden(X3,X4)
| ~ r2_hidden(X2,X3)
| r1_xboole_0(X2,X0)
| k1_xboole_0 = X0 ),
inference(cnf_transformation,[],[f9873]) ).
fof(f12623,plain,
! [X0] :
( r2_hidden(sK383(X0),X0)
| k1_xboole_0 = X0 ),
inference(cnf_transformation,[],[f9873]) ).
fof(f12624,plain,
! [X2,X3,X0] :
( ~ r2_hidden(X3,sK384(X0))
| ~ r2_hidden(X2,X3)
| r1_xboole_0(X2,X0)
| k1_xboole_0 = X0 ),
inference(cnf_transformation,[],[f9874]) ).
fof(f12625,plain,
! [X0] :
( r2_hidden(sK384(X0),X0)
| k1_xboole_0 = X0 ),
inference(cnf_transformation,[],[f9874]) ).
fof(f12626,plain,
! [X2,X0] :
( ~ r2_hidden(X2,sK385(X0))
| r1_xboole_0(X2,X0)
| k1_xboole_0 = X0 ),
inference(cnf_transformation,[],[f9875]) ).
fof(f12627,plain,
! [X0] :
( r2_hidden(sK385(X0),X0)
| k1_xboole_0 = X0 ),
inference(cnf_transformation,[],[f9875]) ).
fof(f12628,plain,
! [X0] :
( r1_xboole_0(sK386(X0),X0)
| k1_xboole_0 = X0 ),
inference(cnf_transformation,[],[f9876]) ).
fof(f12629,plain,
! [X0] :
( r2_hidden(sK386(X0),X0)
| k1_xboole_0 = X0 ),
inference(cnf_transformation,[],[f9876]) ).
fof(f12630,plain,
! [X2,X0,X1] :
( ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| ~ v2_funct_1(X2)
| ~ r1_xboole_0(X0,X1)
| r1_xboole_0(k9_relat_1(X2,X0),k9_relat_1(X2,X1)) ),
inference(cnf_transformation,[],[f8232]) ).
fof(f12631,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| k1_xboole_0 != k10_relat_1(X1,X0)
| r1_xboole_0(k2_relat_1(X1),X0) ),
inference(cnf_transformation,[],[f9877]) ).
fof(f12632,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| ~ r1_xboole_0(k2_relat_1(X1),X0)
| k1_xboole_0 = k10_relat_1(X1,X0) ),
inference(cnf_transformation,[],[f9877]) ).
fof(f12633,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| k1_xboole_0 != k9_relat_1(X1,X0)
| r1_xboole_0(k1_relat_1(X1),X0) ),
inference(cnf_transformation,[],[f9878]) ).
fof(f12634,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| ~ r1_xboole_0(k1_relat_1(X1),X0)
| k1_xboole_0 = k9_relat_1(X1,X0) ),
inference(cnf_transformation,[],[f9878]) ).
fof(f12635,plain,
! [X2,X0,X1] :
( r2_hidden(sK387(X1,X2),X1)
| ~ r1_tarski(X2,k3_tarski(k2_xboole_0(X0,X1)))
| r1_tarski(X2,k3_tarski(X0)) ),
inference(cnf_transformation,[],[f9879]) ).
fof(f12636,plain,
! [X2,X0,X1] :
( ~ r1_xboole_0(sK387(X1,X2),X2)
| ~ r1_tarski(X2,k3_tarski(k2_xboole_0(X0,X1)))
| r1_tarski(X2,k3_tarski(X0)) ),
inference(cnf_transformation,[],[f9879]) ).
fof(f12637,plain,
! [X2,X3,X0,X1] :
( X0 = X1
| r1_xboole_0(k2_zfmisc_1(X2,k1_tarski(X0)),k2_zfmisc_1(X3,k1_tarski(X1))) ),
inference(cnf_transformation,[],[f8237]) ).
fof(f12638,plain,
! [X2,X3,X0,X1] :
( X0 = X1
| r1_xboole_0(k2_zfmisc_1(k1_tarski(X0),X2),k2_zfmisc_1(k1_tarski(X1),X3)) ),
inference(cnf_transformation,[],[f8237]) ).
fof(f12639,plain,
! [X2,X3,X0,X1] :
( ~ r1_xboole_0(X2,X3)
| r1_xboole_0(k2_zfmisc_1(X0,X2),k2_zfmisc_1(X1,X3)) ),
inference(cnf_transformation,[],[f8238]) ).
fof(f12640,plain,
! [X2,X3,X0,X1] :
( ~ r1_xboole_0(X0,X1)
| r1_xboole_0(k2_zfmisc_1(X0,X2),k2_zfmisc_1(X1,X3)) ),
inference(cnf_transformation,[],[f8238]) ).
fof(f12641,plain,
! [X0,X1] :
( r2_hidden(sK389(X0,X1),k2_xboole_0(X0,X1))
| k3_tarski(k3_xboole_0(X0,X1)) = k3_xboole_0(k3_tarski(X0),k3_tarski(X1)) ),
inference(cnf_transformation,[],[f9880]) ).
fof(f12642,plain,
! [X0,X1] :
( r2_hidden(sK388(X0,X1),k2_xboole_0(X0,X1))
| k3_tarski(k3_xboole_0(X0,X1)) = k3_xboole_0(k3_tarski(X0),k3_tarski(X1)) ),
inference(cnf_transformation,[],[f9880]) ).
fof(f12643,plain,
! [X0,X1] :
( ~ r1_xboole_0(sK388(X0,X1),sK389(X0,X1))
| k3_tarski(k3_xboole_0(X0,X1)) = k3_xboole_0(k3_tarski(X0),k3_tarski(X1)) ),
inference(cnf_transformation,[],[f9880]) ).
fof(f12644,plain,
! [X0,X1] :
( sK388(X0,X1) != sK389(X0,X1)
| k3_tarski(k3_xboole_0(X0,X1)) = k3_xboole_0(k3_tarski(X0),k3_tarski(X1)) ),
inference(cnf_transformation,[],[f9880]) ).
fof(f12645,plain,
! [X0,X1] :
( r2_hidden(sK390(X0,X1),X0)
| r1_xboole_0(k3_tarski(X0),X1) ),
inference(cnf_transformation,[],[f9881]) ).
fof(f12646,plain,
! [X0,X1] :
( ~ r1_xboole_0(sK390(X0,X1),X1)
| r1_xboole_0(k3_tarski(X0),X1) ),
inference(cnf_transformation,[],[f9881]) ).
fof(f12648,plain,
! [X2,X0,X1] :
( r1_xboole_0(k2_tarski(X0,X2),X1)
| r2_hidden(X2,X1)
| r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f8242]) ).
fof(f12649,plain,
! [X0,X1] :
( r2_hidden(X0,X1)
| r1_xboole_0(k1_tarski(X0),X1) ),
inference(cnf_transformation,[],[f8243]) ).
fof(f12650,plain,
! [X2,X0,X1] :
( ~ r2_hidden(X0,X2)
| ~ r1_xboole_0(k2_tarski(X0,X1),X2) ),
inference(cnf_transformation,[],[f8244]) ).
fof(f12652,plain,
! [X0,X1] :
( X0 = X1
| r1_xboole_0(k1_tarski(X0),k1_tarski(X1)) ),
inference(cnf_transformation,[],[f8246]) ).
fof(f12653,plain,
! [X0,X1] :
( X0 != X1
| ~ r1_xboole_0(k1_tarski(X0),k1_tarski(X1)) ),
inference(cnf_transformation,[],[f8247]) ).
fof(f12654,plain,
! [X2,X3,X0,X1] :
( ~ r1_xboole_0(X2,X3)
| ~ r1_xboole_0(X1,X3)
| ~ r1_xboole_0(X0,X3)
| r1_xboole_0(k2_xboole_0(k2_xboole_0(X0,X1),X2),X3) ),
inference(cnf_transformation,[],[f8249]) ).
fof(f12655,plain,
! [X2,X0,X1] :
( ~ r1_tarski(X0,k4_xboole_0(X1,X2))
| r1_xboole_0(X0,X2) ),
inference(cnf_transformation,[],[f8250]) ).
fof(f12656,plain,
! [X2,X0,X1] :
( ~ r1_tarski(X0,k4_xboole_0(X1,X2))
| r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f8250]) ).
fof(f12657,plain,
! [X0,X1] : r1_xboole_0(k4_xboole_0(X0,k3_xboole_0(X0,X1)),X1),
inference(cnf_transformation,[],[f159]) ).
fof(f12660,plain,
! [X2,X0,X1] :
( ~ r1_xboole_0(X0,X1)
| k2_xboole_0(k4_xboole_0(X2,X0),X1) = k4_xboole_0(k2_xboole_0(X2,X1),X0) ),
inference(cnf_transformation,[],[f8252]) ).
fof(f12661,plain,
! [X2,X0,X1] :
( ~ r1_xboole_0(X0,X2)
| ~ r1_tarski(X0,X1)
| r1_tarski(X0,k4_xboole_0(X1,X2)) ),
inference(cnf_transformation,[],[f8254]) ).
fof(f12662,plain,
! [X2,X0,X1] :
( ~ r1_tarski(X0,X1)
| r1_xboole_0(X0,k4_xboole_0(X2,X1)) ),
inference(cnf_transformation,[],[f8255]) ).
fof(f12663,plain,
! [X2,X0,X1] :
( ~ r1_xboole_0(X0,k4_xboole_0(X1,X2))
| ~ r1_xboole_0(X0,X2)
| r1_xboole_0(X0,X1) ),
inference(cnf_transformation,[],[f8256]) ).
fof(f12664,plain,
! [X0,X1] :
( ~ r1_xboole_0(X0,X1)
| k4_xboole_0(X0,X1) = X0 ),
inference(cnf_transformation,[],[f9882]) ).
fof(f12665,plain,
! [X0,X1] :
( k4_xboole_0(X0,X1) != X0
| r1_xboole_0(X0,X1) ),
inference(cnf_transformation,[],[f9882]) ).
fof(f12666,plain,
! [X0,X1] : r1_xboole_0(k4_xboole_0(X0,X1),k4_xboole_0(X1,X0)),
inference(cnf_transformation,[],[f151]) ).
fof(f12667,plain,
! [X2,X0,X1] :
( ~ r1_xboole_0(X0,k4_xboole_0(X1,X2))
| r1_xboole_0(X1,k4_xboole_0(X0,X2)) ),
inference(cnf_transformation,[],[f8257]) ).
fof(f12668,plain,
! [X2,X0,X1] :
( ~ r1_xboole_0(X0,X1)
| r1_xboole_0(X0,k4_xboole_0(X1,X2)) ),
inference(cnf_transformation,[],[f8258]) ).
fof(f12669,plain,
! [X0,X1] : r1_xboole_0(k4_xboole_0(X0,X1),X1),
inference(cnf_transformation,[],[f148]) ).
fof(f12670,plain,
! [X2,X0,X1] :
( ~ r1_xboole_0(X0,X1)
| k3_xboole_0(X0,k2_xboole_0(X1,X2)) = k3_xboole_0(X0,X2) ),
inference(cnf_transformation,[],[f8259]) ).
fof(f12671,plain,
! [X2,X0,X1] :
( ~ r1_xboole_0(X0,k3_xboole_0(X1,X2))
| ~ r1_tarski(X0,X2)
| r1_xboole_0(X0,X1) ),
inference(cnf_transformation,[],[f8260]) ).
fof(f12672,plain,
! [X2,X0,X1] :
( ~ r1_xboole_0(X0,X1)
| r1_xboole_0(k3_xboole_0(X2,X0),k3_xboole_0(X2,X1)) ),
inference(cnf_transformation,[],[f8261]) ).
fof(f12673,plain,
! [X0,X1] :
( ~ r1_xboole_0(k3_xboole_0(X0,X1),X1)
| r1_xboole_0(X0,X1) ),
inference(cnf_transformation,[],[f8262]) ).
fof(f12675,plain,
! [X2,X0,X1] :
( ~ r1_xboole_0(X0,X2)
| ~ r1_tarski(X0,k2_xboole_0(X1,X2))
| r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f8265]) ).
fof(f12676,plain,
! [X2,X3,X0,X1] :
( ~ r1_xboole_0(X3,X1)
| ~ r1_xboole_0(X2,X0)
| k2_xboole_0(X0,X1) != k2_xboole_0(X2,X3)
| X1 = X2 ),
inference(cnf_transformation,[],[f8267]) ).
fof(f12677,plain,
! [X2,X0,X1] :
( ~ r1_xboole_0(X2,X1)
| ~ r1_xboole_0(X0,X1)
| k2_xboole_0(X0,X1) != k2_xboole_0(X2,X1)
| X0 = X2 ),
inference(cnf_transformation,[],[f8269]) ).
fof(f12678,plain,
! [X2,X0,X1] :
( ~ r1_xboole_0(X0,k2_xboole_0(X1,X2))
| r1_xboole_0(X0,X2) ),
inference(cnf_transformation,[],[f8270]) ).
fof(f12679,plain,
! [X2,X0,X1] :
( ~ r1_xboole_0(X0,k2_xboole_0(X1,X2))
| r1_xboole_0(X0,X1) ),
inference(cnf_transformation,[],[f8270]) ).
fof(f12680,plain,
! [X2,X0,X1] :
( ~ r1_xboole_0(X0,X2)
| ~ r1_xboole_0(X0,X1)
| r1_xboole_0(X0,k2_xboole_0(X1,X2)) ),
inference(cnf_transformation,[],[f8270]) ).
fof(f12681,plain,
! [X0,X1] :
( v1_xboole_0(X1)
| ~ r1_xboole_0(X1,X0)
| ~ r1_tarski(X1,X0) ),
inference(cnf_transformation,[],[f8272]) ).
fof(f12682,plain,
! [X2,X0,X1] :
( v1_xboole_0(X2)
| ~ r1_xboole_0(X0,X1)
| ~ r1_tarski(X2,X1)
| ~ r1_tarski(X2,X0) ),
inference(cnf_transformation,[],[f8274]) ).
fof(f12683,plain,
! [X2,X0,X1] :
( ~ r1_xboole_0(X1,X2)
| ~ r1_tarski(X0,X2)
| ~ r1_tarski(X0,X1)
| k1_xboole_0 = X0 ),
inference(cnf_transformation,[],[f8276]) ).
fof(f12684,plain,
! [X0] :
( ~ r1_xboole_0(X0,X0)
| k1_xboole_0 = X0 ),
inference(cnf_transformation,[],[f8277]) ).
fof(f12686,plain,
! [X0] : r1_xboole_0(X0,k1_xboole_0),
inference(cnf_transformation,[],[f134]) ).
fof(f12687,plain,
! [X2,X3,X0,X1] :
( ~ r1_xboole_0(X1,X3)
| ~ r1_tarski(X2,X3)
| ~ r1_tarski(X0,X1)
| r1_xboole_0(X0,X2) ),
inference(cnf_transformation,[],[f8279]) ).
fof(f12688,plain,
! [X2,X0,X1] :
( ~ r1_xboole_0(X1,X2)
| ~ r1_tarski(X0,X1)
| r1_xboole_0(X0,X2) ),
inference(cnf_transformation,[],[f8281]) ).
fof(f12689,plain,
! [X0,X1] :
( ~ r1_xboole_0(X0,X1)
| r1_xboole_0(X1,X0) ),
inference(cnf_transformation,[],[f8282]) ).
fof(f12694,plain,
! [X3,X0,X1] :
( ~ r1_xboole_0(X0,X1)
| ~ r2_hidden(X3,k3_xboole_0(X0,X1)) ),
inference(cnf_transformation,[],[f9883]) ).
fof(f12695,plain,
! [X0,X1] :
( r2_hidden(sK391(X0,X1),k3_xboole_0(X0,X1))
| r1_xboole_0(X0,X1) ),
inference(cnf_transformation,[],[f9883]) ).
fof(f12696,plain,
! [X3,X0,X1] :
( ~ r1_xboole_0(X0,X1)
| ~ r2_hidden(X3,X1)
| ~ r2_hidden(X3,X0) ),
inference(cnf_transformation,[],[f9884]) ).
fof(f12697,plain,
! [X0,X1] :
( r2_hidden(sK392(X0,X1),X1)
| r1_xboole_0(X0,X1) ),
inference(cnf_transformation,[],[f9884]) ).
fof(f12698,plain,
! [X0,X1] :
( r2_hidden(sK392(X0,X1),X0)
| r1_xboole_0(X0,X1) ),
inference(cnf_transformation,[],[f9884]) ).
fof(f12699,plain,
! [X0,X1] :
( ~ r1_xboole_0(X0,X1)
| k1_xboole_0 = k3_xboole_0(X0,X1) ),
inference(cnf_transformation,[],[f9885]) ).
fof(f12700,plain,
! [X0,X1] :
( k1_xboole_0 != k3_xboole_0(X0,X1)
| r1_xboole_0(X0,X1) ),
inference(cnf_transformation,[],[f9885]) ).
fof(f12701,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0)
| m1_subset_1(k2_tops_1(X0,X1),k1_zfmisc_1(u1_struct_0(X0))) ),
inference(cnf_transformation,[],[f8287]) ).
fof(f12702,plain,
! [X0,X1] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ v4_pre_topc(X1,X0)
| k2_tops_1(X0,X1) = k6_subset_1(u1_struct_0(X0),X1,k1_tops_1(X0,X1)) ),
inference(cnf_transformation,[],[f9886]) ).
fof(f12703,plain,
! [X0,X1] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| k2_tops_1(X0,X1) != k6_subset_1(u1_struct_0(X0),X1,k1_tops_1(X0,X1))
| v4_pre_topc(X1,X0) ),
inference(cnf_transformation,[],[f9886]) ).
fof(f12704,plain,
! [X0,X1] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ v3_pre_topc(X1,X0)
| k2_tops_1(X0,X1) = k6_subset_1(u1_struct_0(X0),k6_pre_topc(X0,X1),X1) ),
inference(cnf_transformation,[],[f9887]) ).
fof(f12705,plain,
! [X0,X1] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| k2_tops_1(X0,X1) != k6_subset_1(u1_struct_0(X0),k6_pre_topc(X0,X1),X1)
| v3_pre_topc(X1,X0) ),
inference(cnf_transformation,[],[f9887]) ).
fof(f12706,plain,
! [X0,X1] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| k2_tops_1(X0,k2_tops_1(X0,X1)) = k2_tops_1(X0,k2_tops_1(X0,k2_tops_1(X0,X1))) ),
inference(cnf_transformation,[],[f8293]) ).
fof(f12707,plain,
! [X0,X1] :
( ~ l1_pre_topc(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| k1_tops_1(X0,X1) = k6_subset_1(u1_struct_0(X0),X1,k2_tops_1(X0,X1)) ),
inference(cnf_transformation,[],[f8294]) ).
fof(f12708,plain,
! [X0,X1] :
( ~ l1_pre_topc(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ v4_pre_topc(X1,X0)
| r1_tarski(k2_tops_1(X0,X1),X1) ),
inference(cnf_transformation,[],[f8296]) ).
fof(f12709,plain,
! [X0,X1] :
( ~ l1_pre_topc(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| r1_tarski(k2_tops_1(X0,k2_tops_1(X0,X1)),k2_tops_1(X0,X1)) ),
inference(cnf_transformation,[],[f8297]) ).
fof(f12710,plain,
! [X0,X1] :
( ~ l1_pre_topc(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| k2_tops_1(X0,X1) = k2_tops_1(X0,k3_subset_1(u1_struct_0(X0),X1)) ),
inference(cnf_transformation,[],[f8298]) ).
fof(f12711,plain,
! [X2,X0,X1,X4] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ r2_hidden(X2,k2_tops_1(X0,X1))
| ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X0)))
| ~ r2_hidden(X2,X4)
| ~ v3_pre_topc(X4,X0)
| ~ r1_xboole_0(k3_subset_1(u1_struct_0(X0),X1),X4) ),
inference(cnf_transformation,[],[f9890]) ).
fof(f12712,plain,
! [X2,X0,X1,X4] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ r2_hidden(X2,k2_tops_1(X0,X1))
| ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X0)))
| ~ r2_hidden(X2,X4)
| ~ v3_pre_topc(X4,X0)
| ~ r1_xboole_0(X1,X4) ),
inference(cnf_transformation,[],[f9890]) ).
fof(f12713,plain,
! [X2,X0,X1] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| m1_subset_1(sK393(X0,X1,X2),k1_zfmisc_1(u1_struct_0(X0)))
| r2_hidden(X2,k2_tops_1(X0,X1)) ),
inference(cnf_transformation,[],[f9890]) ).
fof(f12714,plain,
! [X2,X0,X1] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| r2_hidden(X2,sK393(X0,X1,X2))
| r2_hidden(X2,k2_tops_1(X0,X1)) ),
inference(cnf_transformation,[],[f9890]) ).
fof(f12715,plain,
! [X2,X0,X1] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| v3_pre_topc(sK393(X0,X1,X2),X0)
| r2_hidden(X2,k2_tops_1(X0,X1)) ),
inference(cnf_transformation,[],[f9890]) ).
fof(f12716,plain,
! [X2,X0,X1] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| r1_xboole_0(k3_subset_1(u1_struct_0(X0),X1),sK393(X0,X1,X2))
| r1_xboole_0(X1,sK393(X0,X1,X2))
| r2_hidden(X2,k2_tops_1(X0,X1)) ),
inference(cnf_transformation,[],[f9890]) ).
fof(f12717,plain,
! [X2,X0,X1] :
( v1_xboole_0(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(X0)))
| ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| m1_subset_1(k3_tarski(X2),k1_zfmisc_1(X0)) ),
inference(cnf_transformation,[],[f8301]) ).
fof(f12718,plain,
! [X0] :
( r2_hidden(sK394(X0),X0)
| ~ v1_finset_1(X0)
| v1_finset_1(k3_tarski(X0)) ),
inference(cnf_transformation,[],[f9894]) ).
fof(f12719,plain,
! [X0] :
( ~ v1_finset_1(sK394(X0))
| ~ v1_finset_1(X0)
| v1_finset_1(k3_tarski(X0)) ),
inference(cnf_transformation,[],[f9894]) ).
fof(f12720,plain,
! [X0,X1] :
( ~ v1_finset_1(k3_tarski(X0))
| ~ r2_hidden(X1,X0)
| v1_finset_1(X1) ),
inference(cnf_transformation,[],[f9894]) ).
fof(f12721,plain,
! [X0] :
( ~ v1_finset_1(k3_tarski(X0))
| v1_finset_1(X0) ),
inference(cnf_transformation,[],[f9894]) ).
fof(f12722,plain,
! [X0] :
( ~ v3_ordinal1(X0)
| k3_tarski(k1_ordinal1(X0)) = X0 ),
inference(cnf_transformation,[],[f8303]) ).
fof(f12723,plain,
! [X0] :
( r2_hidden(sK395(X0),X0)
| v3_ordinal1(k3_tarski(X0)) ),
inference(cnf_transformation,[],[f9895]) ).
fof(f12724,plain,
! [X0] :
( ~ v3_ordinal1(sK395(X0))
| v3_ordinal1(k3_tarski(X0)) ),
inference(cnf_transformation,[],[f9895]) ).
fof(f12725,plain,
! [X0] :
( ~ v3_ordinal1(X0)
| v3_ordinal1(k3_tarski(X0)) ),
inference(cnf_transformation,[],[f8305]) ).
fof(f12726,plain,
! [X2,X0,X1] :
( ~ r2_hidden(X2,X0)
| ~ r1_tarski(k3_tarski(X0),X1)
| r1_tarski(X2,X1) ),
inference(cnf_transformation,[],[f8307]) ).
fof(f12727,plain,
! [X0] : r1_tarski(X0,k1_zfmisc_1(k3_tarski(X0))),
inference(cnf_transformation,[],[f425]) ).
fof(f12728,plain,
! [X0] : k3_tarski(k1_zfmisc_1(X0)) = X0,
inference(cnf_transformation,[],[f424]) ).
fof(f12729,plain,
! [X0,X1] : r1_tarski(k3_tarski(k3_xboole_0(X0,X1)),k3_xboole_0(k3_tarski(X0),k3_tarski(X1))),
inference(cnf_transformation,[],[f422]) ).
fof(f12730,plain,
! [X0,X1] : k3_tarski(k2_xboole_0(X0,X1)) = k2_xboole_0(k3_tarski(X0),k3_tarski(X1)),
inference(cnf_transformation,[],[f421]) ).
fof(f12731,plain,
! [X0,X1] :
( ~ r1_tarski(X0,X1)
| r1_tarski(k3_tarski(X0),k3_tarski(X1)) ),
inference(cnf_transformation,[],[f8308]) ).
fof(f12732,plain,
! [X0,X1] :
( r2_hidden(sK396(X0,X1),X0)
| r1_tarski(k3_tarski(X0),X1) ),
inference(cnf_transformation,[],[f9896]) ).
fof(f12733,plain,
! [X0,X1] :
( ~ r1_tarski(sK396(X0,X1),X1)
| r1_tarski(k3_tarski(X0),X1) ),
inference(cnf_transformation,[],[f9896]) ).
fof(f12734,plain,
! [X0,X1] : k2_xboole_0(X0,X1) = k3_tarski(k2_tarski(X0,X1)),
inference(cnf_transformation,[],[f418]) ).
fof(f12735,plain,
! [X0,X1] :
( ~ r2_hidden(X0,X1)
| r1_tarski(X0,k3_tarski(X1)) ),
inference(cnf_transformation,[],[f8310]) ).
fof(f12738,plain,
k1_xboole_0 = k3_tarski(k1_xboole_0),
inference(cnf_transformation,[],[f327]) ).
fof(f12739,plain,
! [X0,X1,X5] :
( k3_tarski(X0) != X1
| ~ r2_hidden(X5,X1)
| r2_hidden(sK399(X0,X5),X0) ),
inference(cnf_transformation,[],[f9899]) ).
fof(f12740,plain,
! [X0,X1,X5] :
( k3_tarski(X0) != X1
| ~ r2_hidden(X5,X1)
| r2_hidden(X5,sK399(X0,X5)) ),
inference(cnf_transformation,[],[f9899]) ).
fof(f12741,plain,
! [X0,X1,X6,X5] :
( k3_tarski(X0) != X1
| ~ r2_hidden(X6,X0)
| ~ r2_hidden(X5,X6)
| r2_hidden(X5,X1) ),
inference(cnf_transformation,[],[f9899]) ).
fof(f12742,plain,
! [X0,X1] :
( r2_hidden(sK397(X0,X1),X1)
| r2_hidden(sK398(X0,X1),X0)
| k3_tarski(X0) = X1 ),
inference(cnf_transformation,[],[f9899]) ).
fof(f12743,plain,
! [X0,X1] :
( r2_hidden(sK397(X0,X1),X1)
| r2_hidden(sK397(X0,X1),sK398(X0,X1))
| k3_tarski(X0) = X1 ),
inference(cnf_transformation,[],[f9899]) ).
fof(f12744,plain,
! [X3,X0,X1] :
( ~ r2_hidden(sK397(X0,X1),X1)
| ~ r2_hidden(X3,X0)
| ~ r2_hidden(sK397(X0,X1),X3)
| k3_tarski(X0) = X1 ),
inference(cnf_transformation,[],[f9899]) ).
fof(f12748,plain,
! [X0,X1] :
( ~ v4_membered(X1)
| ~ r2_hidden(X1,X0)
| v4_membered(k1_setfam_1(X0)) ),
inference(cnf_transformation,[],[f8314]) ).
fof(f12749,plain,
! [X0,X1] :
( ~ v3_membered(X1)
| ~ r2_hidden(X1,X0)
| v3_membered(k1_setfam_1(X0)) ),
inference(cnf_transformation,[],[f8316]) ).
fof(f12750,plain,
! [X0,X1] :
( ~ v2_membered(X1)
| ~ r2_hidden(X1,X0)
| v2_membered(k1_setfam_1(X0)) ),
inference(cnf_transformation,[],[f8318]) ).
fof(f12751,plain,
! [X0,X1] :
( ~ v1_membered(X1)
| ~ r2_hidden(X1,X0)
| v1_membered(k1_setfam_1(X0)) ),
inference(cnf_transformation,[],[f8320]) ).
fof(f12752,plain,
! [X0] :
( r2_hidden(sK400(X0),X0)
| v3_ordinal1(k1_setfam_1(X0)) ),
inference(cnf_transformation,[],[f9900]) ).
fof(f12753,plain,
! [X0] :
( ~ v3_ordinal1(sK400(X0))
| v3_ordinal1(k1_setfam_1(X0)) ),
inference(cnf_transformation,[],[f9900]) ).
fof(f12754,plain,
! [X0,X1] : k3_xboole_0(X0,X1) = k1_setfam_1(k2_tarski(X0,X1)),
inference(cnf_transformation,[],[f602]) ).
fof(f12755,plain,
! [X0] : k1_setfam_1(k1_tarski(X0)) = X0,
inference(cnf_transformation,[],[f601]) ).
fof(f12756,plain,
! [X0,X1] :
( k1_setfam_1(k2_xboole_0(X0,X1)) = k3_xboole_0(k1_setfam_1(X0),k1_setfam_1(X1))
| k1_xboole_0 = X1
| k1_xboole_0 = X0 ),
inference(cnf_transformation,[],[f8322]) ).
fof(f12757,plain,
! [X2,X0,X1] :
( ~ r1_xboole_0(X0,X2)
| ~ r2_hidden(X0,X1)
| r1_xboole_0(k1_setfam_1(X1),X2) ),
inference(cnf_transformation,[],[f8324]) ).
fof(f12758,plain,
! [X2,X0,X1] :
( ~ r1_tarski(X0,X2)
| ~ r2_hidden(X0,X1)
| r1_tarski(k1_setfam_1(X1),X2) ),
inference(cnf_transformation,[],[f8326]) ).
fof(f12759,plain,
! [X0,X1] :
( ~ r1_tarski(X0,X1)
| r1_tarski(k1_setfam_1(X1),k1_setfam_1(X0))
| k1_xboole_0 = X0 ),
inference(cnf_transformation,[],[f8328]) ).
fof(f12760,plain,
! [X0,X1] :
( r2_hidden(sK401(X0,X1),X0)
| r1_tarski(X1,k1_setfam_1(X0))
| k1_xboole_0 = X0 ),
inference(cnf_transformation,[],[f9901]) ).
fof(f12761,plain,
! [X0,X1] :
( ~ r1_tarski(X1,sK401(X0,X1))
| r1_tarski(X1,k1_setfam_1(X0))
| k1_xboole_0 = X0 ),
inference(cnf_transformation,[],[f9901]) ).
fof(f12762,plain,
! [X0] :
( ~ r2_hidden(k1_xboole_0,X0)
| k1_xboole_0 = k1_setfam_1(X0) ),
inference(cnf_transformation,[],[f8331]) ).
fof(f12763,plain,
! [X0,X1] :
( ~ r2_hidden(X0,X1)
| r1_tarski(k1_setfam_1(X1),X0) ),
inference(cnf_transformation,[],[f8332]) ).
fof(f12764,plain,
! [X0] : r1_tarski(k1_setfam_1(X0),k3_tarski(X0)),
inference(cnf_transformation,[],[f593]) ).
fof(f12766,plain,
! [X0,X1] :
( k1_xboole_0 != X0
| k1_setfam_1(X0) != X1
| k1_xboole_0 = X1 ),
inference(cnf_transformation,[],[f9904]) ).
fof(f12768,plain,
! [X0,X1,X7,X5] :
( k1_xboole_0 = X0
| k1_setfam_1(X0) != X1
| ~ r2_hidden(X5,X1)
| ~ r2_hidden(X7,X0)
| r2_hidden(X5,X7) ),
inference(cnf_transformation,[],[f9904]) ).
fof(f12769,plain,
! [X0,X1,X5] :
( k1_xboole_0 = X0
| k1_setfam_1(X0) != X1
| r2_hidden(sK404(X0,X5),X0)
| r2_hidden(X5,X1) ),
inference(cnf_transformation,[],[f9904]) ).
fof(f12770,plain,
! [X0,X1,X5] :
( k1_xboole_0 = X0
| k1_setfam_1(X0) != X1
| ~ r2_hidden(X5,sK404(X0,X5))
| r2_hidden(X5,X1) ),
inference(cnf_transformation,[],[f9904]) ).
fof(f12771,plain,
! [X0,X1,X4] :
( k1_xboole_0 = X0
| r2_hidden(sK402(X0,X1),X1)
| ~ r2_hidden(X4,X0)
| r2_hidden(sK402(X0,X1),X4)
| k1_setfam_1(X0) = X1 ),
inference(cnf_transformation,[],[f9904]) ).
fof(f12772,plain,
! [X0,X1] :
( k1_xboole_0 = X0
| ~ r2_hidden(sK402(X0,X1),X1)
| r2_hidden(sK403(X0,X1),X0)
| k1_setfam_1(X0) = X1 ),
inference(cnf_transformation,[],[f9904]) ).
fof(f12773,plain,
! [X0,X1] :
( k1_xboole_0 = X0
| ~ r2_hidden(sK402(X0,X1),X1)
| ~ r2_hidden(sK402(X0,X1),sK403(X0,X1))
| k1_setfam_1(X0) = X1 ),
inference(cnf_transformation,[],[f9904]) ).
fof(f12774,plain,
! [X0] :
( ~ v4_ordinal2(X0)
| m1_subset_1(k2_finseq_1(X0),k1_zfmisc_1(k5_numbers)) ),
inference(cnf_transformation,[],[f8334]) ).
fof(f12775,plain,
! [X2,X0,X1] :
( ~ m2_subset_1(X0,k1_numbers,k5_numbers)
| ~ v4_ordinal2(X1)
| ~ v4_ordinal2(X2)
| ~ r2_hidden(k2_xcmplx_0(X1,X2),k2_finseq_1(k2_xcmplx_0(X0,X2)))
| r2_hidden(X1,k2_finseq_1(k2_xcmplx_0(X0,X2)))
| r1_xreal_0(X1,np__0) ),
inference(cnf_transformation,[],[f8336]) ).
fof(f12776,plain,
! [X2,X0,X1] :
( ~ m2_subset_1(X0,k1_numbers,k5_numbers)
| ~ v4_ordinal2(X1)
| ~ v4_ordinal2(X2)
| ~ r2_hidden(k2_xcmplx_0(X1,X2),k2_finseq_1(k2_xcmplx_0(X0,X2)))
| r2_hidden(X1,k2_finseq_1(X0))
| r1_xreal_0(X1,np__0) ),
inference(cnf_transformation,[],[f8336]) ).
fof(f12777,plain,
! [X2,X0,X1] :
( ~ m2_subset_1(X0,k1_numbers,k5_numbers)
| ~ v4_ordinal2(X1)
| ~ v4_ordinal2(X2)
| ~ r2_hidden(X1,k2_finseq_1(X0))
| r2_hidden(k2_xcmplx_0(X1,X2),k2_finseq_1(k2_xcmplx_0(X0,X2))) ),
inference(cnf_transformation,[],[f8338]) ).
fof(f12778,plain,
! [X0,X1] :
( ~ v4_ordinal2(X0)
| v1_xboole_0(X1)
| k3_finseq_1(sK405(X0,X1)) = X0 ),
inference(cnf_transformation,[],[f9905]) ).
fof(f12779,plain,
! [X0,X1] :
( ~ v4_ordinal2(X0)
| v1_xboole_0(X1)
| m2_finseq_1(sK405(X0,X1),X1) ),
inference(cnf_transformation,[],[f9905]) ).
fof(f12780,plain,
! [X2,X0,X1] :
( ~ v4_ordinal2(X0)
| ~ m2_finseq_1(X2,X1)
| m2_finseq_1(k7_relat_1(X2,k2_finseq_1(X0)),X1) ),
inference(cnf_transformation,[],[f8340]) ).
fof(f12781,plain,
! [X0,X1] :
( ~ v4_ordinal2(X0)
| ~ v1_finseq_1(X1)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| v1_finseq_1(k7_relat_1(X1,k2_finseq_1(X0))) ),
inference(cnf_transformation,[],[f8342]) ).
fof(f12782,plain,
! [X0,X1] :
( ~ v4_ordinal2(X0)
| ~ v1_finseq_1(X1)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| v1_funct_1(k7_relat_1(X1,k2_finseq_1(X0))) ),
inference(cnf_transformation,[],[f8342]) ).
fof(f12783,plain,
! [X0,X1] :
( ~ v4_ordinal2(X0)
| ~ v1_finseq_1(X1)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| v1_relat_1(k7_relat_1(X1,k2_finseq_1(X0))) ),
inference(cnf_transformation,[],[f8342]) ).
fof(f12784,plain,
! [X0] :
( ~ v4_ordinal2(X0)
| k2_finseq_1(X0) = k4_xboole_0(k2_finseq_1(k2_xcmplx_0(X0,np__1)),k1_tarski(k2_xcmplx_0(X0,np__1))) ),
inference(cnf_transformation,[],[f8343]) ).
fof(f12785,plain,
! [X0] :
( ~ v4_ordinal2(X0)
| k2_finseq_1(k2_xcmplx_0(X0,np__1)) = k2_xboole_0(k2_finseq_1(X0),k1_tarski(k2_xcmplx_0(X0,np__1))) ),
inference(cnf_transformation,[],[f8344]) ).
fof(f12786,plain,
! [X0,X1] :
( ~ v4_ordinal2(X0)
| ~ v4_ordinal2(X1)
| k2_finseq_1(X1) != k2_finseq_1(X0)
| X0 = X1 ),
inference(cnf_transformation,[],[f8346]) ).
fof(f12787,plain,
! [X0,X1] :
( ~ v4_ordinal2(X0)
| ~ v4_ordinal2(X1)
| ~ r1_xreal_0(X0,X1)
| r1_tarski(k2_finseq_1(X0),k2_finseq_1(X1)) ),
inference(cnf_transformation,[],[f9906]) ).
fof(f12788,plain,
! [X0,X1] :
( ~ v4_ordinal2(X0)
| ~ v4_ordinal2(X1)
| ~ r1_tarski(k2_finseq_1(X0),k2_finseq_1(X1))
| r1_xreal_0(X0,X1) ),
inference(cnf_transformation,[],[f9906]) ).
fof(f12789,plain,
! [X0] :
( ~ v4_ordinal2(X0)
| r2_hidden(k2_xcmplx_0(X0,np__1),k2_finseq_1(k2_xcmplx_0(X0,np__1))) ),
inference(cnf_transformation,[],[f8348]) ).
fof(f12790,plain,
! [X0] :
( ~ v4_ordinal2(X0)
| r2_hidden(X0,k2_finseq_1(X0))
| np__0 = X0 ),
inference(cnf_transformation,[],[f8350]) ).
fof(f12791,plain,
! [X0,X1] :
( ~ v4_ordinal2(X0)
| ~ v4_ordinal2(X1)
| ~ r2_hidden(X0,k2_finseq_1(X1))
| r1_xreal_0(X0,X1) ),
inference(cnf_transformation,[],[f9908]) ).
fof(f12792,plain,
! [X0,X1] :
( ~ v4_ordinal2(X0)
| ~ v4_ordinal2(X1)
| ~ r2_hidden(X0,k2_finseq_1(X1))
| r1_xreal_0(np__1,X0) ),
inference(cnf_transformation,[],[f9908]) ).
fof(f12793,plain,
! [X0,X1] :
( ~ v4_ordinal2(X0)
| ~ v4_ordinal2(X1)
| ~ r1_xreal_0(X0,X1)
| ~ r1_xreal_0(np__1,X0)
| r2_hidden(X0,k2_finseq_1(X1)) ),
inference(cnf_transformation,[],[f9908]) ).
fof(f12794,plain,
! [X0] :
( ~ v4_ordinal2(X0)
| v1_int_1(X0) ),
inference(cnf_transformation,[],[f8352]) ).
fof(f12795,plain,
! [X0] :
( ~ v4_ordinal2(X0)
| v1_xreal_0(X0) ),
inference(cnf_transformation,[],[f8353]) ).
fof(f12796,plain,
m1_subset_1(k5_numbers,k1_zfmisc_1(k1_numbers)),
inference(cnf_transformation,[],[f2673]) ).
fof(f12797,plain,
k1_numbers != k5_numbers,
inference(cnf_transformation,[],[f2667]) ).
fof(f12798,plain,
r1_tarski(k5_numbers,k1_numbers),
inference(cnf_transformation,[],[f2657]) ).
fof(f12803,plain,
! [X0,X1] :
( ~ v2_membered(X1)
| ~ v2_membered(X0)
| v2_membered(k5_xboole_0(X0,X1)) ),
inference(cnf_transformation,[],[f8357]) ).
fof(f12804,plain,
! [X0,X1] :
( ~ v2_membered(X1)
| ~ v2_membered(X0)
| v1_membered(k5_xboole_0(X0,X1)) ),
inference(cnf_transformation,[],[f8357]) ).
fof(f12805,plain,
! [X0,X1] :
( ~ v1_membered(X1)
| ~ v1_membered(X0)
| v1_membered(k5_xboole_0(X0,X1)) ),
inference(cnf_transformation,[],[f8359]) ).
fof(f12806,plain,
! [X0] :
( v1_xboole_0(X0)
| m1_subset_1(sK406(X0),X0)
| v4_finsub_1(X0) ),
inference(cnf_transformation,[],[f9909]) ).
fof(f12807,plain,
! [X0] :
( v1_xboole_0(X0)
| m1_subset_1(sK407(X0),X0)
| v4_finsub_1(X0) ),
inference(cnf_transformation,[],[f9909]) ).
fof(f12808,plain,
! [X0] :
( v1_xboole_0(X0)
| ~ r2_hidden(k2_xboole_0(sK406(X0),sK407(X0)),X0)
| ~ r2_hidden(k5_xboole_0(sK406(X0),sK407(X0)),X0)
| v4_finsub_1(X0) ),
inference(cnf_transformation,[],[f9909]) ).
fof(f12809,plain,
! [X0] :
( v1_xboole_0(X0)
| m1_subset_1(sK408(X0),X0)
| v4_finsub_1(X0) ),
inference(cnf_transformation,[],[f9910]) ).
fof(f12810,plain,
! [X0] :
( v1_xboole_0(X0)
| m1_subset_1(sK409(X0),X0)
| v4_finsub_1(X0) ),
inference(cnf_transformation,[],[f9910]) ).
fof(f12811,plain,
! [X0] :
( v1_xboole_0(X0)
| ~ r2_hidden(k3_xboole_0(sK408(X0),sK409(X0)),X0)
| ~ r2_hidden(k5_xboole_0(sK408(X0),sK409(X0)),X0)
| v4_finsub_1(X0) ),
inference(cnf_transformation,[],[f9910]) ).
fof(f12812,plain,
! [X0] :
( v1_xboole_0(X0)
| m1_subset_1(sK410(X0),X0)
| v4_finsub_1(X0) ),
inference(cnf_transformation,[],[f9911]) ).
fof(f12813,plain,
! [X0] :
( v1_xboole_0(X0)
| m1_subset_1(sK411(X0),X0)
| v4_finsub_1(X0) ),
inference(cnf_transformation,[],[f9911]) ).
fof(f12814,plain,
! [X0] :
( v1_xboole_0(X0)
| ~ r2_hidden(k4_xboole_0(sK410(X0),sK411(X0)),X0)
| ~ r2_hidden(k5_xboole_0(sK410(X0),sK411(X0)),X0)
| v4_finsub_1(X0) ),
inference(cnf_transformation,[],[f9911]) ).
fof(f12815,plain,
! [X2,X0,X1] :
( ~ v4_finsub_1(X2)
| v1_xboole_0(X2)
| ~ m1_subset_1(X1,X2)
| ~ m1_subset_1(X0,X2)
| m1_subset_1(k5_xboole_0(X0,X1),X2) ),
inference(cnf_transformation,[],[f8367]) ).
fof(f12817,plain,
! [X0,X1] :
( ~ v1_finset_1(X1)
| ~ v1_finset_1(X0)
| v1_finset_1(k5_xboole_0(X0,X1)) ),
inference(cnf_transformation,[],[f8371]) ).
fof(f12818,plain,
! [X0,X1] : r1_tarski(k2_xboole_0(k1_zfmisc_1(k4_xboole_0(X0,X1)),k1_zfmisc_1(k4_xboole_0(X1,X0))),k1_zfmisc_1(k5_xboole_0(X0,X1))),
inference(cnf_transformation,[],[f411]) ).
fof(f12819,plain,
! [X0,X1] :
( X0 = X1
| k2_tarski(X0,X1) = k5_xboole_0(k1_tarski(X0),k1_tarski(X1)) ),
inference(cnf_transformation,[],[f8372]) ).
fof(f12820,plain,
! [X2,X0,X1] : k5_xboole_0(k3_xboole_0(X0,X1),k3_xboole_0(X2,X1)) = k3_xboole_0(k5_xboole_0(X0,X2),X1),
inference(cnf_transformation,[],[f181]) ).
fof(f12821,plain,
! [X2,X0,X1] :
( ~ r1_tarski(X2,X1)
| ~ r1_tarski(X0,X1)
| r1_tarski(k5_xboole_0(X0,X2),X1) ),
inference(cnf_transformation,[],[f8374]) ).
fof(f12822,plain,
! [X2,X0,X1] :
( ~ r1_tarski(X0,k5_xboole_0(X1,X2))
| r1_xboole_0(X0,k3_xboole_0(X1,X2)) ),
inference(cnf_transformation,[],[f9913]) ).
fof(f12823,plain,
! [X2,X0,X1] :
( ~ r1_tarski(X0,k5_xboole_0(X1,X2))
| r1_tarski(X0,k2_xboole_0(X1,X2)) ),
inference(cnf_transformation,[],[f9913]) ).
fof(f12824,plain,
! [X2,X0,X1] :
( ~ r1_xboole_0(X0,k3_xboole_0(X1,X2))
| ~ r1_tarski(X0,k2_xboole_0(X1,X2))
| r1_tarski(X0,k5_xboole_0(X1,X2)) ),
inference(cnf_transformation,[],[f9913]) ).
fof(f12825,plain,
! [X0,X1] : r1_xboole_0(k3_xboole_0(X0,X1),k5_xboole_0(X0,X1)),
inference(cnf_transformation,[],[f172]) ).
fof(f12826,plain,
! [X2,X0,X1] : k4_xboole_0(X0,k5_xboole_0(X1,X2)) = k2_xboole_0(k4_xboole_0(X0,k2_xboole_0(X1,X2)),k3_xboole_0(k3_xboole_0(X0,X1),X2)),
inference(cnf_transformation,[],[f171]) ).
fof(f12827,plain,
! [X0,X1] : k5_xboole_0(X0,X1) = k4_xboole_0(k2_xboole_0(X0,X1),k3_xboole_0(X0,X1)),
inference(cnf_transformation,[],[f170]) ).
fof(f12828,plain,
! [X0,X1] : k4_xboole_0(X0,X1) = k5_xboole_0(X0,k3_xboole_0(X0,X1)),
inference(cnf_transformation,[],[f169]) ).
fof(f12830,plain,
! [X0,X1] : k2_xboole_0(X0,X1) = k5_xboole_0(X0,k4_xboole_0(X1,X0)),
inference(cnf_transformation,[],[f167]) ).
fof(f12831,plain,
! [X2,X0,X1] :
( ~ r1_tarski(k4_xboole_0(X1,X0),X2)
| ~ r1_tarski(k4_xboole_0(X0,X1),X2)
| r1_tarski(k5_xboole_0(X0,X1),X2) ),
inference(cnf_transformation,[],[f8376]) ).
fof(f12832,plain,
! [X0,X1] : r1_tarski(k4_xboole_0(X0,X1),k5_xboole_0(X0,X1)),
inference(cnf_transformation,[],[f165]) ).
fof(f12833,plain,
! [X0,X1] : k3_xboole_0(X0,X1) = k5_xboole_0(k5_xboole_0(X0,X1),k2_xboole_0(X0,X1)),
inference(cnf_transformation,[],[f164]) ).
fof(f12835,plain,
! [X0,X1] : k2_xboole_0(X0,X1) = k2_xboole_0(k5_xboole_0(X0,X1),k3_xboole_0(X0,X1)),
inference(cnf_transformation,[],[f162]) ).
fof(f12836,plain,
! [X0] : k1_xboole_0 = k5_xboole_0(X0,X0),
inference(cnf_transformation,[],[f161]) ).
fof(f12837,plain,
! [X2,X0,X1] : k5_xboole_0(k5_xboole_0(X0,X1),X2) = k5_xboole_0(X0,k5_xboole_0(X1,X2)),
inference(cnf_transformation,[],[f160]) ).
fof(f12838,plain,
! [X0] : k5_xboole_0(X0,k1_xboole_0) = X0,
inference(cnf_transformation,[],[f66]) ).
fof(f12839,plain,
! [X0,X1] : k5_xboole_0(X0,X1) = k5_xboole_0(X1,X0),
inference(cnf_transformation,[],[f61]) ).
fof(f12840,plain,
! [X2,X0,X1] :
( ~ r2_hidden(sK412(X0,X1,X2),X0)
| ~ r2_hidden(sK412(X0,X1,X2),X1)
| r2_hidden(sK412(X0,X1,X2),X2)
| k5_xboole_0(X1,X2) = X0 ),
inference(cnf_transformation,[],[f9915]) ).
fof(f12841,plain,
! [X2,X0,X1] :
( ~ r2_hidden(sK412(X0,X1,X2),X0)
| ~ r2_hidden(sK412(X0,X1,X2),X2)
| r2_hidden(sK412(X0,X1,X2),X1)
| k5_xboole_0(X1,X2) = X0 ),
inference(cnf_transformation,[],[f9915]) ).
fof(f12842,plain,
! [X2,X0,X1] :
( r2_hidden(sK412(X0,X1,X2),X0)
| r2_hidden(sK412(X0,X1,X2),X1)
| r2_hidden(sK412(X0,X1,X2),X2)
| k5_xboole_0(X1,X2) = X0 ),
inference(cnf_transformation,[],[f9915]) ).
fof(f12843,plain,
! [X2,X0,X1] :
( r2_hidden(sK412(X0,X1,X2),X0)
| ~ r2_hidden(sK412(X0,X1,X2),X1)
| ~ r2_hidden(sK412(X0,X1,X2),X2)
| k5_xboole_0(X1,X2) = X0 ),
inference(cnf_transformation,[],[f9915]) ).
fof(f12844,plain,
! [X2,X0,X1] :
( ~ r2_hidden(X0,k5_xboole_0(X1,X2))
| r2_hidden(X0,X1)
| r2_hidden(X0,X2) ),
inference(cnf_transformation,[],[f9916]) ).
fof(f12845,plain,
! [X2,X0,X1] :
( ~ r2_hidden(X0,k5_xboole_0(X1,X2))
| ~ r2_hidden(X0,X1)
| ~ r2_hidden(X0,X2) ),
inference(cnf_transformation,[],[f9916]) ).
fof(f12846,plain,
! [X2,X0,X1] :
( ~ r2_hidden(X0,X1)
| r2_hidden(X0,X2)
| r2_hidden(X0,k5_xboole_0(X1,X2)) ),
inference(cnf_transformation,[],[f9916]) ).
fof(f12847,plain,
! [X2,X0,X1] :
( ~ r2_hidden(X0,X2)
| r2_hidden(X0,X1)
| r2_hidden(X0,k5_xboole_0(X1,X2)) ),
inference(cnf_transformation,[],[f9916]) ).
fof(f12848,plain,
! [X0,X1] : k5_xboole_0(X0,X1) = k2_xboole_0(k4_xboole_0(X0,X1),k4_xboole_0(X1,X0)),
inference(cnf_transformation,[],[f34]) ).
fof(f12849,plain,
! [X2,X3,X0,X1,X4] :
( v1_xboole_0(X0)
| ~ m1_subset_1(X2,X0)
| ~ m1_subset_1(X3,X0)
| ~ m1_subset_1(X4,X0)
| r1_tarski(k2_zfmisc_1(k1_enumset1(X2,X3,X4),X1),k2_zfmisc_1(X0,X1)) ),
inference(cnf_transformation,[],[f8379]) ).
fof(f12850,plain,
! [X2,X0,X1] :
( ~ v1_xreal_0(X2)
| ~ v1_xreal_0(X1)
| ~ v1_xreal_0(X0)
| v2_membered(k1_enumset1(X0,X1,X2)) ),
inference(cnf_transformation,[],[f8381]) ).
fof(f12851,plain,
! [X2,X0,X1] :
( ~ v1_xreal_0(X2)
| ~ v1_xreal_0(X1)
| ~ v1_xreal_0(X0)
| v1_membered(k1_enumset1(X0,X1,X2)) ),
inference(cnf_transformation,[],[f8381]) ).
fof(f12852,plain,
! [X2,X0,X1] :
( ~ v1_xcmplx_0(X2)
| ~ v1_xcmplx_0(X1)
| ~ v1_xcmplx_0(X0)
| v1_membered(k1_enumset1(X0,X1,X2)) ),
inference(cnf_transformation,[],[f8383]) ).
fof(f12853,plain,
! [X2,X0,X1] : r1_tarski(k2_tarski(X0,X1),k1_enumset1(X0,X1,X2)),
inference(cnf_transformation,[],[f2435]) ).
fof(f12854,plain,
! [X2,X0,X1] : r1_tarski(k1_tarski(X0),k1_enumset1(X0,X1,X2)),
inference(cnf_transformation,[],[f2434]) ).
fof(f12856,plain,
! [X2,X3,X0,X1] :
( ~ m1_subset_1(X1,X0)
| ~ m1_subset_1(X2,X0)
| ~ m1_subset_1(X3,X0)
| k1_xboole_0 = X0
| m1_subset_1(k1_enumset1(X1,X2,X3),k1_zfmisc_1(X0)) ),
inference(cnf_transformation,[],[f8385]) ).
fof(f12857,plain,
! [X2,X0,X1] : k1_enumset1(X0,X1,X2) = k1_enumset1(X2,X1,X0),
inference(cnf_transformation,[],[f291]) ).
fof(f12858,plain,
! [X2,X0,X1] : k1_enumset1(X0,X1,X2) = k1_enumset1(X1,X2,X0),
inference(cnf_transformation,[],[f289]) ).
fof(f12859,plain,
! [X2,X0,X1] : k1_enumset1(X0,X1,X2) = k1_enumset1(X1,X0,X2),
inference(cnf_transformation,[],[f288]) ).
fof(f12861,plain,
! [X0] : k1_tarski(X0) = k1_enumset1(X0,X0,X0),
inference(cnf_transformation,[],[f265]) ).
fof(f12862,plain,
! [X2,X0,X1] : k1_enumset1(X0,X1,X2) = k2_enumset1(X0,X0,X1,X2),
inference(cnf_transformation,[],[f260]) ).
fof(f12863,plain,
! [X0,X1] : k2_tarski(X0,X1) = k1_enumset1(X0,X0,X1),
inference(cnf_transformation,[],[f259]) ).
fof(f12864,plain,
! [X2,X3,X0,X1] : k2_enumset1(X0,X1,X2,X3) = k2_xboole_0(k1_enumset1(X0,X1,X2),k1_tarski(X3)),
inference(cnf_transformation,[],[f235]) ).
fof(f12865,plain,
! [X2,X3,X0,X1] : k2_enumset1(X0,X1,X2,X3) = k2_xboole_0(k1_tarski(X0),k1_enumset1(X1,X2,X3)),
inference(cnf_transformation,[],[f233]) ).
fof(f12866,plain,
! [X2,X0,X1] : k1_enumset1(X0,X1,X2) = k2_xboole_0(k2_tarski(X0,X1),k1_tarski(X2)),
inference(cnf_transformation,[],[f232]) ).
fof(f12868,plain,
! [X2,X3,X0,X1,X5] :
( k1_enumset1(X0,X1,X2) != X3
| ~ r2_hidden(X5,X3)
| X2 = X5
| X1 = X5
| X0 = X5 ),
inference(cnf_transformation,[],[f9920]) ).
fof(f12872,plain,
! [X2,X3,X0,X1] :
( r2_hidden(sK413(X0,X1,X2,X3),X3)
| sK413(X0,X1,X2,X3) = X2
| sK413(X0,X1,X2,X3) = X1
| sK413(X0,X1,X2,X3) = X0
| k1_enumset1(X0,X1,X2) = X3 ),
inference(cnf_transformation,[],[f9920]) ).
fof(f12873,plain,
! [X2,X3,X0,X1] :
( ~ r2_hidden(sK413(X0,X1,X2,X3),X3)
| sK413(X0,X1,X2,X3) != X2
| k1_enumset1(X0,X1,X2) = X3 ),
inference(cnf_transformation,[],[f9920]) ).
fof(f12874,plain,
! [X2,X3,X0,X1] :
( ~ r2_hidden(sK413(X0,X1,X2,X3),X3)
| sK413(X0,X1,X2,X3) != X1
| k1_enumset1(X0,X1,X2) = X3 ),
inference(cnf_transformation,[],[f9920]) ).
fof(f12875,plain,
! [X2,X3,X0,X1] :
( ~ r2_hidden(sK413(X0,X1,X2,X3),X3)
| sK413(X0,X1,X2,X3) != X0
| k1_enumset1(X0,X1,X2) = X3 ),
inference(cnf_transformation,[],[f9920]) ).
fof(f12878,plain,
! [X2,X0,X1] :
( ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| ~ r2_hidden(X1,k1_relat_1(X2))
| ~ r2_hidden(X0,k1_relat_1(X2))
| k9_relat_1(X2,k2_tarski(X0,X1)) = k2_tarski(k1_funct_1(X2,X0),k1_funct_1(X2,X1)) ),
inference(cnf_transformation,[],[f8390]) ).
fof(f12879,plain,
! [X2,X3,X0,X1,X4] :
( ~ v1_relat_1(X4)
| k2_tarski(k4_tarski(X0,X1),k4_tarski(X2,X3)) != X4
| k2_relat_1(X4) = k2_tarski(X1,X3) ),
inference(cnf_transformation,[],[f8392]) ).
fof(f12880,plain,
! [X2,X3,X0,X1,X4] :
( ~ v1_relat_1(X4)
| k2_tarski(k4_tarski(X0,X1),k4_tarski(X2,X3)) != X4
| k2_tarski(X0,X2) = k1_relat_1(X4) ),
inference(cnf_transformation,[],[f8392]) ).
fof(f12881,plain,
! [X2,X3,X0,X1] : v1_relat_1(k2_tarski(k4_tarski(X0,X1),k4_tarski(X2,X3))),
inference(cnf_transformation,[],[f702]) ).
fof(f12882,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X1,X0)
| ~ m1_subset_1(X2,X0)
| k1_xboole_0 = X0
| m1_subset_1(k2_tarski(X1,X2),k1_zfmisc_1(X0)) ),
inference(cnf_transformation,[],[f8394]) ).
fof(f12883,plain,
! [X0,X1] : ~ v1_xboole_0(k2_tarski(X0,X1)),
inference(cnf_transformation,[],[f473]) ).
fof(f12886,plain,
! [X2,X0,X1] :
( k1_xboole_0 != k4_xboole_0(X0,k2_tarski(X1,X2))
| k2_tarski(X1,X2) = X0
| k1_tarski(X2) = X0
| k1_tarski(X1) = X0
| k1_xboole_0 = X0 ),
inference(cnf_transformation,[],[f9922]) ).
fof(f12888,plain,
! [X2,X0,X1] :
( k1_tarski(X2) != X0
| k1_xboole_0 = k4_xboole_0(X0,k2_tarski(X1,X2)) ),
inference(cnf_transformation,[],[f9922]) ).
fof(f12889,plain,
! [X2,X0,X1] :
( k1_tarski(X1) != X0
| k1_xboole_0 = k4_xboole_0(X0,k2_tarski(X1,X2)) ),
inference(cnf_transformation,[],[f9922]) ).
fof(f12891,plain,
! [X2,X0,X1] :
( k2_tarski(X0,X1) = k4_xboole_0(k2_tarski(X0,X1),X2)
| k1_tarski(X1) = k4_xboole_0(k2_tarski(X0,X1),X2)
| k1_tarski(X0) = k4_xboole_0(k2_tarski(X0,X1),X2)
| k1_xboole_0 = k4_xboole_0(k2_tarski(X0,X1),X2) ),
inference(cnf_transformation,[],[f8396]) ).
fof(f12892,plain,
! [X2,X0,X1] :
( k1_xboole_0 != k4_xboole_0(k2_tarski(X0,X1),X2)
| r2_hidden(X1,X2) ),
inference(cnf_transformation,[],[f9924]) ).
fof(f12893,plain,
! [X2,X0,X1] :
( k1_xboole_0 != k4_xboole_0(k2_tarski(X0,X1),X2)
| r2_hidden(X0,X2) ),
inference(cnf_transformation,[],[f9924]) ).
fof(f12894,plain,
! [X2,X0,X1] :
( ~ r2_hidden(X1,X2)
| ~ r2_hidden(X0,X2)
| k1_xboole_0 = k4_xboole_0(k2_tarski(X0,X1),X2) ),
inference(cnf_transformation,[],[f9924]) ).
fof(f12895,plain,
! [X2,X0,X1] :
( k2_tarski(X0,X1) != k4_xboole_0(k2_tarski(X0,X1),X2)
| ~ r2_hidden(X1,X2) ),
inference(cnf_transformation,[],[f9926]) ).
fof(f12896,plain,
! [X2,X0,X1] :
( k2_tarski(X0,X1) != k4_xboole_0(k2_tarski(X0,X1),X2)
| ~ r2_hidden(X0,X2) ),
inference(cnf_transformation,[],[f9926]) ).
fof(f12897,plain,
! [X2,X0,X1] :
( r2_hidden(X1,X2)
| r2_hidden(X0,X2)
| k2_tarski(X0,X1) = k4_xboole_0(k2_tarski(X0,X1),X2) ),
inference(cnf_transformation,[],[f9926]) ).
fof(f12898,plain,
! [X2,X0,X1] :
( k1_tarski(X0) != k4_xboole_0(k2_tarski(X0,X1),X2)
| X0 = X1
| r2_hidden(X1,X2) ),
inference(cnf_transformation,[],[f9928]) ).
fof(f12899,plain,
! [X2,X0,X1] :
( k1_tarski(X0) != k4_xboole_0(k2_tarski(X0,X1),X2)
| ~ r2_hidden(X0,X2) ),
inference(cnf_transformation,[],[f9928]) ).
fof(f12900,plain,
! [X2,X0,X1] :
( X0 != X1
| r2_hidden(X0,X2)
| k1_tarski(X0) = k4_xboole_0(k2_tarski(X0,X1),X2) ),
inference(cnf_transformation,[],[f9928]) ).
fof(f12901,plain,
! [X2,X0,X1] :
( ~ r2_hidden(X1,X2)
| r2_hidden(X0,X2)
| k1_tarski(X0) = k4_xboole_0(k2_tarski(X0,X1),X2) ),
inference(cnf_transformation,[],[f9928]) ).
fof(f12902,plain,
! [X2,X0,X1] :
( k2_tarski(X0,X1) != k3_xboole_0(k2_tarski(X0,X1),X2)
| r2_hidden(X0,X2) ),
inference(cnf_transformation,[],[f8397]) ).
fof(f12903,plain,
! [X2,X0,X1] :
( ~ r2_hidden(X0,X1)
| k1_tarski(X0) = k3_xboole_0(k2_tarski(X0,X2),X1)
| X0 != X2 ),
inference(cnf_transformation,[],[f8399]) ).
fof(f12904,plain,
! [X2,X0,X1] :
( ~ r2_hidden(X0,X1)
| k1_tarski(X0) = k3_xboole_0(k2_tarski(X0,X2),X1)
| r2_hidden(X2,X1) ),
inference(cnf_transformation,[],[f8399]) ).
fof(f12905,plain,
! [X2,X0,X1] :
( X0 = X1
| ~ r2_hidden(X1,X2)
| k1_tarski(X0) != k3_xboole_0(k2_tarski(X0,X1),X2) ),
inference(cnf_transformation,[],[f8400]) ).
fof(f12906,plain,
! [X2,X0,X1] :
( ~ r2_hidden(X2,X1)
| ~ r2_hidden(X0,X1)
| k2_tarski(X0,X2) = k3_xboole_0(k2_tarski(X0,X2),X1) ),
inference(cnf_transformation,[],[f8402]) ).
fof(f12907,plain,
! [X2,X0,X1] : k1_xboole_0 != k2_xboole_0(k2_tarski(X0,X1),X2),
inference(cnf_transformation,[],[f375]) ).
fof(f12908,plain,
! [X2,X0,X1] :
( ~ r2_hidden(X2,X1)
| ~ r2_hidden(X0,X1)
| k2_xboole_0(k2_tarski(X0,X2),X1) = X1 ),
inference(cnf_transformation,[],[f8404]) ).
fof(f12909,plain,
! [X2,X0,X1] :
( ~ r1_tarski(k2_xboole_0(k2_tarski(X0,X1),X2),X2)
| r2_hidden(X0,X2) ),
inference(cnf_transformation,[],[f8405]) ).
fof(f12910,plain,
! [X2,X0,X1] :
( ~ r1_tarski(X0,k2_tarski(X1,X2))
| k2_tarski(X1,X2) = X0
| k1_tarski(X2) = X0
| k1_tarski(X1) = X0
| k1_xboole_0 = X0 ),
inference(cnf_transformation,[],[f9930]) ).
fof(f12912,plain,
! [X2,X0,X1] :
( k1_tarski(X2) != X0
| r1_tarski(X0,k2_tarski(X1,X2)) ),
inference(cnf_transformation,[],[f9930]) ).
fof(f12913,plain,
! [X2,X0,X1] :
( k1_tarski(X1) != X0
| r1_tarski(X0,k2_tarski(X1,X2)) ),
inference(cnf_transformation,[],[f9930]) ).
fof(f12915,plain,
! [X2,X0,X1] :
( ~ r1_tarski(k2_tarski(X0,X1),X2)
| r2_hidden(X1,X2) ),
inference(cnf_transformation,[],[f9932]) ).
fof(f12916,plain,
! [X2,X0,X1] :
( ~ r1_tarski(k2_tarski(X0,X1),X2)
| r2_hidden(X0,X2) ),
inference(cnf_transformation,[],[f9932]) ).
fof(f12917,plain,
! [X2,X0,X1] :
( ~ r2_hidden(X1,X2)
| ~ r2_hidden(X0,X2)
| r1_tarski(k2_tarski(X0,X1),X2) ),
inference(cnf_transformation,[],[f9932]) ).
fof(f12918,plain,
! [X2,X0,X1] : k2_zfmisc_1(k2_tarski(X0,X1),k1_tarski(X2)) = k2_tarski(k4_tarski(X0,X2),k4_tarski(X1,X2)),
inference(cnf_transformation,[],[f361]) ).
fof(f12919,plain,
! [X2,X0,X1] : k2_zfmisc_1(k1_tarski(X0),k2_tarski(X1,X2)) = k2_tarski(k4_tarski(X0,X1),k4_tarski(X0,X2)),
inference(cnf_transformation,[],[f361]) ).
fof(f12920,plain,
! [X0] : k1_zfmisc_1(k1_tarski(X0)) = k2_tarski(k1_xboole_0,k1_tarski(X0)),
inference(cnf_transformation,[],[f355]) ).
fof(f12921,plain,
! [X2,X3,X0,X1] :
( X0 = X3
| X0 = X2
| ~ r1_tarski(k2_tarski(X0,X1),k2_tarski(X2,X3)) ),
inference(cnf_transformation,[],[f8407]) ).
fof(f12922,plain,
! [X2,X0,X1] :
( ~ r1_tarski(k2_tarski(X0,X1),k1_tarski(X2))
| k2_tarski(X0,X1) = k1_tarski(X2) ),
inference(cnf_transformation,[],[f8408]) ).
fof(f12923,plain,
! [X2,X0,X1] :
( ~ r1_tarski(k2_tarski(X0,X1),k1_tarski(X2))
| X0 = X2 ),
inference(cnf_transformation,[],[f8409]) ).
fof(f12925,plain,
! [X0,X1] :
( X0 = X1
| k1_tarski(X0) = k4_xboole_0(k2_tarski(X0,X1),k1_tarski(X1)) ),
inference(cnf_transformation,[],[f8411]) ).
fof(f12927,plain,
! [X0,X1] : k1_tarski(X0) = k3_xboole_0(k1_tarski(X0),k2_tarski(X0,X1)),
inference(cnf_transformation,[],[f344]) ).
fof(f12930,plain,
! [X2,X3,X0,X1] :
( X0 = X3
| X0 = X2
| k2_tarski(X0,X1) != k2_tarski(X2,X3) ),
inference(cnf_transformation,[],[f8412]) ).
fof(f12931,plain,
! [X2,X0,X1] :
( k1_tarski(X0) != k2_tarski(X1,X2)
| X1 = X2 ),
inference(cnf_transformation,[],[f8413]) ).
fof(f12932,plain,
! [X2,X0,X1] :
( k1_tarski(X0) != k2_tarski(X1,X2)
| X0 = X1 ),
inference(cnf_transformation,[],[f8414]) ).
fof(f12935,plain,
! [X0,X1] : k2_tarski(X0,X1) = k2_tarski(X1,X0),
inference(cnf_transformation,[],[f21]) ).
fof(f12936,plain,
! [X0,X1] : k4_tarski(X0,X1) = k2_tarski(k2_tarski(X0,X1),k1_tarski(X0)),
inference(cnf_transformation,[],[f13]) ).
fof(f12937,plain,
! [X2,X0,X1,X4] :
( k2_tarski(X0,X1) != X2
| ~ r2_hidden(X4,X2)
| X1 = X4
| X0 = X4 ),
inference(cnf_transformation,[],[f9936]) ).
fof(f12938,plain,
! [X2,X0,X1,X4] :
( k2_tarski(X0,X1) != X2
| X1 != X4
| r2_hidden(X4,X2) ),
inference(cnf_transformation,[],[f9936]) ).
fof(f12939,plain,
! [X2,X0,X1,X4] :
( k2_tarski(X0,X1) != X2
| X0 != X4
| r2_hidden(X4,X2) ),
inference(cnf_transformation,[],[f9936]) ).
fof(f12940,plain,
! [X2,X0,X1] :
( r2_hidden(sK414(X0,X1,X2),X2)
| sK414(X0,X1,X2) = X1
| sK414(X0,X1,X2) = X0
| k2_tarski(X0,X1) = X2 ),
inference(cnf_transformation,[],[f9936]) ).
fof(f12941,plain,
! [X2,X0,X1] :
( ~ r2_hidden(sK414(X0,X1,X2),X2)
| sK414(X0,X1,X2) != X1
| k2_tarski(X0,X1) = X2 ),
inference(cnf_transformation,[],[f9936]) ).
fof(f12942,plain,
! [X2,X0,X1] :
( ~ r2_hidden(sK414(X0,X1,X2),X2)
| sK414(X0,X1,X2) != X0
| k2_tarski(X0,X1) = X2 ),
inference(cnf_transformation,[],[f9936]) ).
fof(f12943,plain,
! [X0] :
( ~ v1_int_1(X0)
| ~ r1_xreal_0(np__0,X0)
| r2_hidden(X0,k5_numbers) ),
inference(cnf_transformation,[],[f8416]) ).
fof(f12944,plain,
! [X0] :
( ~ v1_int_1(X0)
| v1_xreal_0(X0) ),
inference(cnf_transformation,[],[f8417]) ).
fof(f12945,plain,
! [X0] :
( ~ v1_int_1(X0)
| v1_xcmplx_0(X0) ),
inference(cnf_transformation,[],[f8417]) ).
fof(f12946,plain,
v1_int_1(sK415),
inference(cnf_transformation,[],[f9937]) ).
fof(f12947,plain,
v1_int_1(sK416),
inference(cnf_transformation,[],[f9938]) ).
fof(f12948,plain,
v1_xreal_0(sK416),
inference(cnf_transformation,[],[f9938]) ).
fof(f12949,plain,
v1_xcmplx_0(sK416),
inference(cnf_transformation,[],[f9938]) ).
fof(f12950,plain,
m1_subset_1(sK416,k1_numbers),
inference(cnf_transformation,[],[f9938]) ).
fof(f12951,plain,
! [X0] :
( ~ v1_int_1(X0)
| r2_hidden(X0,k4_numbers) ),
inference(cnf_transformation,[],[f9939]) ).
fof(f12952,plain,
! [X0] :
( ~ r2_hidden(X0,k4_numbers)
| v1_int_1(X0) ),
inference(cnf_transformation,[],[f9939]) ).
fof(f12953,plain,
! [X0] :
( ~ m1_subset_1(X0,k4_numbers)
| v1_int_1(X0) ),
inference(cnf_transformation,[],[f8418]) ).
fof(f12954,plain,
k4_numbers != k5_numbers,
inference(cnf_transformation,[],[f2665]) ).
fof(f12955,plain,
k2_numbers != k4_numbers,
inference(cnf_transformation,[],[f2664]) ).
fof(f12956,plain,
k1_numbers != k4_numbers,
inference(cnf_transformation,[],[f2663]) ).
fof(f12957,plain,
k3_numbers != k4_numbers,
inference(cnf_transformation,[],[f2662]) ).
fof(f12958,plain,
r1_tarski(k5_numbers,k4_numbers),
inference(cnf_transformation,[],[f2655]) ).
fof(f12959,plain,
r1_tarski(k4_numbers,k2_numbers),
inference(cnf_transformation,[],[f2654]) ).
fof(f12960,plain,
r1_tarski(k4_numbers,k1_numbers),
inference(cnf_transformation,[],[f2653]) ).
fof(f12961,plain,
r1_tarski(k4_numbers,k3_numbers),
inference(cnf_transformation,[],[f2652]) ).
fof(f12962,plain,
~ v1_xboole_0(k4_numbers),
inference(cnf_transformation,[],[f2635]) ).
fof(f12963,plain,
k3_numbers != k5_numbers,
inference(cnf_transformation,[],[f2666]) ).
fof(f12964,plain,
k2_numbers != k3_numbers,
inference(cnf_transformation,[],[f2661]) ).
fof(f12965,plain,
k1_numbers != k3_numbers,
inference(cnf_transformation,[],[f2660]) ).
fof(f12966,plain,
r1_tarski(k5_numbers,k3_numbers),
inference(cnf_transformation,[],[f2656]) ).
fof(f12967,plain,
r1_tarski(k3_numbers,k2_numbers),
inference(cnf_transformation,[],[f2651]) ).
fof(f12968,plain,
r1_tarski(k3_numbers,k1_numbers),
inference(cnf_transformation,[],[f2650]) ).
fof(f12969,plain,
~ v1_xboole_0(k3_numbers),
inference(cnf_transformation,[],[f2634]) ).
fof(f12970,plain,
! [X0,X1] :
( ~ v1_xreal_0(X1)
| ~ v1_xreal_0(X0)
| r1_xreal_0(X1,X0)
| r1_xreal_0(X0,X1) ),
inference(cnf_transformation,[],[f8420]) ).
fof(f12971,plain,
! [X0,X1] :
( ~ v1_xreal_0(X1)
| ~ v1_xreal_0(X0)
| r1_xreal_0(X0,X0) ),
inference(cnf_transformation,[],[f8422]) ).
fof(f12972,plain,
! [X0] :
( ~ v1_xreal_0(X0)
| r2_hidden(X0,k1_numbers) ),
inference(cnf_transformation,[],[f9940]) ).
fof(f12973,plain,
! [X0] :
( ~ r2_hidden(X0,k1_numbers)
| v1_xreal_0(X0) ),
inference(cnf_transformation,[],[f9940]) ).
fof(f12974,plain,
~ v1_xboole_0(k1_numbers),
inference(cnf_transformation,[],[f2632]) ).
fof(f12975,plain,
! [X0] :
( ~ v1_membered(X0)
| v1_xcmplx_0(sK417(X0))
| k2_numbers = X0 ),
inference(cnf_transformation,[],[f9941]) ).
fof(f12976,plain,
! [X0] :
( ~ v1_membered(X0)
| ~ r2_hidden(sK417(X0),X0)
| k2_numbers = X0 ),
inference(cnf_transformation,[],[f9941]) ).
fof(f12977,plain,
v1_xreal_0(sK418),
inference(cnf_transformation,[],[f9942]) ).
fof(f12978,plain,
v1_xcmplx_0(sK418),
inference(cnf_transformation,[],[f9942]) ).
fof(f12979,plain,
! [X0] :
( ~ v1_xreal_0(X0)
| v1_xcmplx_0(X0) ),
inference(cnf_transformation,[],[f8425]) ).
fof(f12980,plain,
! [X2,X0,X1] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
| r1_tarski(k1_tops_1(X0,k6_subset_1(u1_struct_0(X0),X1,X2)),k6_subset_1(u1_struct_0(X0),k1_tops_1(X0,X1),k1_tops_1(X0,X2))) ),
inference(cnf_transformation,[],[f8427]) ).
fof(f12981,plain,
! [X2,X0,X1] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
| r1_tarski(k6_subset_1(u1_struct_0(X0),k6_pre_topc(X0,X1),k6_pre_topc(X0,X2)),k6_pre_topc(X0,k6_subset_1(u1_struct_0(X0),X1,X2))) ),
inference(cnf_transformation,[],[f8429]) ).
fof(f12982,plain,
! [X0,X1] :
( ~ l1_pre_topc(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| k6_subset_1(u1_struct_0(X0),k2_pre_topc(X0),X1) != k6_pre_topc(X0,k6_subset_1(u1_struct_0(X0),k2_pre_topc(X0),X1))
| ~ v2_pre_topc(X0)
| v3_pre_topc(X1,X0) ),
inference(cnf_transformation,[],[f8431]) ).
fof(f12983,plain,
! [X0,X1] :
( ~ l1_pre_topc(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ v3_pre_topc(X1,X0)
| k6_subset_1(u1_struct_0(X0),k2_pre_topc(X0),X1) = k6_pre_topc(X0,k6_subset_1(u1_struct_0(X0),k2_pre_topc(X0),X1)) ),
inference(cnf_transformation,[],[f8431]) ).
fof(f12984,plain,
! [X0,X1] :
( ~ l1_pre_topc(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ v4_pre_topc(X1,X0)
| v3_pre_topc(k6_subset_1(u1_struct_0(X0),k2_pre_topc(X0),X1),X0) ),
inference(cnf_transformation,[],[f9943]) ).
fof(f12985,plain,
! [X0,X1] :
( ~ l1_pre_topc(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ v3_pre_topc(k6_subset_1(u1_struct_0(X0),k2_pre_topc(X0),X1),X0)
| v4_pre_topc(X1,X0) ),
inference(cnf_transformation,[],[f9943]) ).
fof(f12986,plain,
! [X2,X0,X1] :
( ~ l1_struct_0(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
| ~ r1_xboole_0(X1,X2)
| k2_pre_topc(X0) != k4_subset_1(u1_struct_0(X0),X1,X2)
| k6_subset_1(u1_struct_0(X0),k2_pre_topc(X0),X1) = X2 ),
inference(cnf_transformation,[],[f8434]) ).
fof(f12987,plain,
! [X2,X0,X1] :
( ~ l1_struct_0(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
| k6_subset_1(u1_struct_0(X0),k2_pre_topc(X0),X1) != X2
| k2_pre_topc(X0) = k4_subset_1(u1_struct_0(X0),X1,X2) ),
inference(cnf_transformation,[],[f8436]) ).
fof(f12988,plain,
! [X0,X1] :
( ~ l1_struct_0(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| k2_pre_topc(X0) != X1
| k1_xboole_0 = k6_subset_1(u1_struct_0(X0),k2_pre_topc(X0),X1) ),
inference(cnf_transformation,[],[f8437]) ).
fof(f12989,plain,
! [X0,X1] :
( ~ l1_struct_0(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| k1_xboole_0 != k6_subset_1(u1_struct_0(X0),k2_pre_topc(X0),X1)
| k2_pre_topc(X0) = X1 ),
inference(cnf_transformation,[],[f8437]) ).
fof(f12990,plain,
! [X0,X1] :
( ~ l1_struct_0(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| k6_subset_1(u1_struct_0(X0),k2_pre_topc(X0),k6_subset_1(u1_struct_0(X0),k2_pre_topc(X0),X1)) = X1 ),
inference(cnf_transformation,[],[f8438]) ).
fof(f12991,plain,
! [X0,X1] :
( ~ l1_struct_0(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| k3_subset_1(u1_struct_0(X0),X1) = k6_subset_1(u1_struct_0(X0),k2_pre_topc(X0),X1) ),
inference(cnf_transformation,[],[f8439]) ).
fof(f12992,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| k4_xboole_0(X1,X2) = k6_subset_1(X0,X1,X2) ),
inference(cnf_transformation,[],[f8441]) ).
fof(f12993,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| m1_subset_1(k6_subset_1(X0,X1,X2),k1_zfmisc_1(X0)) ),
inference(cnf_transformation,[],[f8443]) ).
fof(f12994,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| k3_subset_1(X0,k6_subset_1(X0,X1,X2)) = k4_subset_1(X0,k3_subset_1(X0,X1),X2) ),
inference(cnf_transformation,[],[f8444]) ).
fof(f12995,plain,
! [X2,X3,X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ m1_subset_1(X3,k1_zfmisc_1(X0))
| m1_subset_1(sK419(X0,X1,X2,X3),X0)
| k6_subset_1(X0,X2,X3) = X1 ),
inference(cnf_transformation,[],[f9946]) ).
fof(f12996,plain,
! [X2,X3,X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ m1_subset_1(X3,k1_zfmisc_1(X0))
| r2_hidden(sK419(X0,X1,X2,X3),X1)
| ~ r2_hidden(sK419(X0,X1,X2,X3),X3)
| k6_subset_1(X0,X2,X3) = X1 ),
inference(cnf_transformation,[],[f9946]) ).
fof(f12997,plain,
! [X2,X3,X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ m1_subset_1(X3,k1_zfmisc_1(X0))
| r2_hidden(sK419(X0,X1,X2,X3),X1)
| r2_hidden(sK419(X0,X1,X2,X3),X2)
| k6_subset_1(X0,X2,X3) = X1 ),
inference(cnf_transformation,[],[f9946]) ).
fof(f12998,plain,
! [X2,X3,X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ m1_subset_1(X3,k1_zfmisc_1(X0))
| ~ r2_hidden(sK419(X0,X1,X2,X3),X1)
| r2_hidden(sK419(X0,X1,X2,X3),X3)
| ~ r2_hidden(sK419(X0,X1,X2,X3),X2)
| k6_subset_1(X0,X2,X3) = X1 ),
inference(cnf_transformation,[],[f9946]) ).
fof(f12999,plain,
! [X0,X1] :
( ~ v1_finseq_1(X0)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ~ v1_finseq_1(X1)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ~ r1_tarski(X0,X1)
| r1_xreal_0(k3_finseq_1(X0),k3_finseq_1(X1)) ),
inference(cnf_transformation,[],[f8448]) ).
fof(f13000,plain,
! [X0,X1] :
( ~ v1_finseq_1(X0)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ~ v1_finseq_1(X1)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| m2_subset_1(sK420(X0,X1),k1_numbers,k5_numbers)
| k3_finseq_1(X0) != k3_finseq_1(X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f9947]) ).
fof(f13001,plain,
! [X0,X1] :
( ~ v1_finseq_1(X0)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ~ v1_finseq_1(X1)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| r1_xreal_0(sK420(X0,X1),k3_finseq_1(X0))
| k3_finseq_1(X0) != k3_finseq_1(X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f9947]) ).
fof(f13002,plain,
! [X0,X1] :
( ~ v1_finseq_1(X0)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ~ v1_finseq_1(X1)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| r1_xreal_0(np__1,sK420(X0,X1))
| k3_finseq_1(X0) != k3_finseq_1(X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f9947]) ).
fof(f13003,plain,
! [X0,X1] :
( ~ v1_finseq_1(X0)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ~ v1_finseq_1(X1)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| k1_funct_1(X0,sK420(X0,X1)) != k1_funct_1(X1,sK420(X0,X1))
| k3_finseq_1(X0) != k3_finseq_1(X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f9947]) ).
fof(f13004,plain,
! [X0,X1] :
( ~ m2_subset_1(X0,k1_numbers,k5_numbers)
| ~ m2_subset_1(X1,k1_numbers,k5_numbers)
| ~ r2_hidden(k1_card_1(X0),k1_card_1(X1))
| ~ r1_xreal_0(X1,X0) ),
inference(cnf_transformation,[],[f9948]) ).
fof(f13005,plain,
! [X0,X1] :
( ~ m2_subset_1(X0,k1_numbers,k5_numbers)
| ~ m2_subset_1(X1,k1_numbers,k5_numbers)
| r1_xreal_0(X1,X0)
| r2_hidden(k1_card_1(X0),k1_card_1(X1)) ),
inference(cnf_transformation,[],[f9948]) ).
fof(f13006,plain,
! [X0,X1] :
( ~ m2_subset_1(X0,k1_numbers,k5_numbers)
| ~ m2_subset_1(X1,k1_numbers,k5_numbers)
| ~ r1_tarski(k1_card_1(X0),k1_card_1(X1))
| r1_xreal_0(X0,X1) ),
inference(cnf_transformation,[],[f9949]) ).
fof(f13007,plain,
! [X0,X1] :
( ~ m2_subset_1(X0,k1_numbers,k5_numbers)
| ~ m2_subset_1(X1,k1_numbers,k5_numbers)
| ~ r1_xreal_0(X0,X1)
| r1_tarski(k1_card_1(X0),k1_card_1(X1)) ),
inference(cnf_transformation,[],[f9949]) ).
fof(f13008,plain,
! [X2,X3,X0,X1] :
( ~ l1_rlvect_1(X0)
| v3_struct_0(X0)
| ~ m2_finseq_1(X1,u1_struct_0(X0))
| ~ m2_subset_1(X2,k1_numbers,k5_numbers)
| ~ m2_subset_1(X3,k1_numbers,k5_numbers)
| k3_finseq_1(X1) != X3
| ~ r2_hidden(X2,k2_finseq_1(X3))
| m1_subset_1(k1_funct_1(X1,X2),u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f8454]) ).
fof(f13009,plain,
! [X0] :
( m2_subset_1(sK421(X0),k1_numbers,k5_numbers)
| ~ v1_finset_1(X0) ),
inference(cnf_transformation,[],[f9950]) ).
fof(f13010,plain,
! [X0] :
( r2_wellord2(X0,k2_finseq_1(sK421(X0)))
| ~ v1_finset_1(X0) ),
inference(cnf_transformation,[],[f9950]) ).
fof(f13011,plain,
! [X0] :
( ~ m2_subset_1(X0,k1_numbers,k5_numbers)
| k1_card_1(X0) = k1_card_1(k2_finseq_1(X0)) ),
inference(cnf_transformation,[],[f8456]) ).
fof(f13012,plain,
! [X0] :
( ~ m2_subset_1(X0,k1_numbers,k5_numbers)
| r2_wellord2(k2_finseq_1(X0),X0) ),
inference(cnf_transformation,[],[f8457]) ).
fof(f13013,plain,
! [X0,X1] :
( ~ m2_subset_1(X0,k1_numbers,k5_numbers)
| ~ m2_subset_1(X1,k1_numbers,k5_numbers)
| ~ r2_wellord2(k2_finseq_1(X0),k2_finseq_1(X1))
| X0 = X1 ),
inference(cnf_transformation,[],[f8459]) ).
fof(f13018,plain,
! [X2,X0,X1] :
( ~ v1_finseq_1(X0)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ~ v1_finseq_1(X1)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ~ v1_finseq_1(X2)
| ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| k7_finseq_1(X0,X1) != X2
| sP25(X0,X2,X1) ),
inference(cnf_transformation,[],[f9957]) ).
fof(f13019,plain,
! [X2,X0,X1,X4] :
( ~ v1_finseq_1(X0)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ~ v1_finseq_1(X1)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ~ v1_finseq_1(X2)
| ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| k7_finseq_1(X0,X1) != X2
| ~ m2_subset_1(X4,k1_numbers,k5_numbers)
| ~ r2_hidden(X4,k4_finseq_1(X0))
| k1_funct_1(X0,X4) = k1_funct_1(X2,X4) ),
inference(cnf_transformation,[],[f9957]) ).
fof(f13020,plain,
! [X2,X0,X1] :
( ~ v1_finseq_1(X0)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ~ v1_finseq_1(X1)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ~ v1_finseq_1(X2)
| ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| k7_finseq_1(X0,X1) != X2
| k4_finseq_1(X2) = k2_finseq_1(k1_nat_1(k3_finseq_1(X0),k3_finseq_1(X1))) ),
inference(cnf_transformation,[],[f9957]) ).
fof(f13021,plain,
! [X2,X0,X1] :
( ~ v1_finseq_1(X0)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ~ v1_finseq_1(X1)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ~ v1_finseq_1(X2)
| ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| ~ sP25(X0,X2,X1)
| m2_subset_1(sK423(X0,X2),k1_numbers,k5_numbers)
| k4_finseq_1(X2) != k2_finseq_1(k1_nat_1(k3_finseq_1(X0),k3_finseq_1(X1)))
| k7_finseq_1(X0,X1) = X2 ),
inference(cnf_transformation,[],[f9957]) ).
fof(f13022,plain,
! [X2,X0,X1] :
( ~ v1_finseq_1(X0)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ~ v1_finseq_1(X1)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ~ v1_finseq_1(X2)
| ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| ~ sP25(X0,X2,X1)
| r2_hidden(sK423(X0,X2),k4_finseq_1(X0))
| k4_finseq_1(X2) != k2_finseq_1(k1_nat_1(k3_finseq_1(X0),k3_finseq_1(X1)))
| k7_finseq_1(X0,X1) = X2 ),
inference(cnf_transformation,[],[f9957]) ).
fof(f13023,plain,
! [X2,X0,X1] :
( ~ v1_finseq_1(X0)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ~ v1_finseq_1(X1)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ~ v1_finseq_1(X2)
| ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| ~ sP25(X0,X2,X1)
| k1_funct_1(X0,sK423(X0,X2)) != k1_funct_1(X2,sK423(X0,X2))
| k4_finseq_1(X2) != k2_finseq_1(k1_nat_1(k3_finseq_1(X0),k3_finseq_1(X1)))
| k7_finseq_1(X0,X1) = X2 ),
inference(cnf_transformation,[],[f9957]) ).
fof(f13024,plain,
! [X2,X0,X1] :
( ~ v4_ordinal2(X0)
| ~ v1_finseq_1(X1)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ~ v1_finseq_1(X2)
| ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| k7_relat_1(X1,k2_finseq_1(X0)) != X2
| ~ r1_xreal_0(X0,k3_finseq_1(X1))
| k2_finseq_1(X0) = k4_finseq_1(X2) ),
inference(cnf_transformation,[],[f8463]) ).
fof(f13025,plain,
! [X2,X0,X1] :
( ~ v4_ordinal2(X0)
| ~ v1_finseq_1(X1)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ~ v1_finseq_1(X2)
| ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| k7_relat_1(X1,k2_finseq_1(X0)) != X2
| ~ r1_xreal_0(X0,k3_finseq_1(X1))
| k3_finseq_1(X2) = X0 ),
inference(cnf_transformation,[],[f8463]) ).
fof(f13026,plain,
! [X0,X1] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| v1_finseq_1(sK424(X0))
| ~ r1_tarski(k1_relat_1(X0),k2_finseq_1(X1))
| ~ m2_subset_1(X1,k1_numbers,k5_numbers) ),
inference(cnf_transformation,[],[f9958]) ).
fof(f13027,plain,
! [X0,X1] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| v1_funct_1(sK424(X0))
| ~ r1_tarski(k1_relat_1(X0),k2_finseq_1(X1))
| ~ m2_subset_1(X1,k1_numbers,k5_numbers) ),
inference(cnf_transformation,[],[f9958]) ).
fof(f13028,plain,
! [X0,X1] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| v1_relat_1(sK424(X0))
| ~ r1_tarski(k1_relat_1(X0),k2_finseq_1(X1))
| ~ m2_subset_1(X1,k1_numbers,k5_numbers) ),
inference(cnf_transformation,[],[f9958]) ).
fof(f13029,plain,
! [X0,X1] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| r1_tarski(X0,sK424(X0))
| ~ r1_tarski(k1_relat_1(X0),k2_finseq_1(X1))
| ~ m2_subset_1(X1,k1_numbers,k5_numbers) ),
inference(cnf_transformation,[],[f9958]) ).
fof(f13030,plain,
! [X0,X1] :
( ~ v1_finseq_1(X0)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ~ m2_subset_1(X1,k1_numbers,k5_numbers)
| k3_finseq_1(X0) != X1
| k1_relat_1(X0) = k2_finseq_1(X1) ),
inference(cnf_transformation,[],[f9959]) ).
fof(f13031,plain,
! [X0,X1] :
( ~ v1_finseq_1(X0)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ~ m2_subset_1(X1,k1_numbers,k5_numbers)
| k1_relat_1(X0) != k2_finseq_1(X1)
| k3_finseq_1(X0) = X1 ),
inference(cnf_transformation,[],[f9959]) ).
fof(f13032,plain,
! [X0] :
( ~ v1_relat_1(X0)
| ~ v1_finseq_1(X0)
| k1_relat_1(X0) = k2_finseq_1(sK425(X0)) ),
inference(cnf_transformation,[],[f9962]) ).
fof(f13033,plain,
! [X0] :
( ~ v1_relat_1(X0)
| ~ v1_finseq_1(X0)
| m2_subset_1(sK425(X0),k1_numbers,k5_numbers) ),
inference(cnf_transformation,[],[f9962]) ).
fof(f13034,plain,
! [X0,X1] :
( ~ v1_relat_1(X0)
| k1_relat_1(X0) != k2_finseq_1(X1)
| ~ m2_subset_1(X1,k1_numbers,k5_numbers)
| v1_finseq_1(X0) ),
inference(cnf_transformation,[],[f9962]) ).
fof(f13036,plain,
! [X0] :
( np__0 != k1_card_1(X0)
| k1_xboole_0 = X0 ),
inference(cnf_transformation,[],[f9963]) ).
fof(f13038,plain,
! [X0] :
( ~ m2_subset_1(X0,k1_numbers,k5_numbers)
| k1_card_1(X0) = X0 ),
inference(cnf_transformation,[],[f8471]) ).
fof(f13039,plain,
! [X0,X1] :
( k1_card_1(X0) != k1_card_1(k1_tarski(X1))
| k1_tarski(sK426(X0)) = X0 ),
inference(cnf_transformation,[],[f9966]) ).
fof(f13040,plain,
! [X2,X0,X1] :
( k1_tarski(X2) != X0
| k1_card_1(X0) = k1_card_1(k1_tarski(X1)) ),
inference(cnf_transformation,[],[f9966]) ).
fof(f13041,plain,
k1_xboole_0 = k1_card_1(k1_xboole_0),
inference(cnf_transformation,[],[f3175]) ).
fof(f13042,plain,
! [X0] : r2_hidden(k1_card_1(X0),k1_card_1(k1_zfmisc_1(X0))),
inference(cnf_transformation,[],[f3155]) ).
fof(f13043,plain,
! [X0,X1] :
( ~ r1_tarski(k1_card_1(X0),k1_card_1(X1))
| r1_tarski(X0,k2_relat_1(sK427(X0,X1))) ),
inference(cnf_transformation,[],[f9969]) ).
fof(f13044,plain,
! [X0,X1] :
( ~ r1_tarski(k1_card_1(X0),k1_card_1(X1))
| k1_relat_1(sK427(X0,X1)) = X1 ),
inference(cnf_transformation,[],[f9969]) ).
fof(f13045,plain,
! [X0,X1] :
( ~ r1_tarski(k1_card_1(X0),k1_card_1(X1))
| v1_funct_1(sK427(X0,X1)) ),
inference(cnf_transformation,[],[f9969]) ).
fof(f13046,plain,
! [X0,X1] :
( ~ r1_tarski(k1_card_1(X0),k1_card_1(X1))
| v1_relat_1(sK427(X0,X1)) ),
inference(cnf_transformation,[],[f9969]) ).
fof(f13047,plain,
! [X2,X0,X1] :
( ~ r1_tarski(X0,k2_relat_1(X2))
| k1_relat_1(X2) != X1
| ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| r1_tarski(k1_card_1(X0),k1_card_1(X1)) ),
inference(cnf_transformation,[],[f9969]) ).
fof(f13048,plain,
! [X0,X1] :
( ~ r1_tarski(X0,X1)
| r1_tarski(k1_card_1(X0),k1_card_1(X1)) ),
inference(cnf_transformation,[],[f8472]) ).
fof(f13049,plain,
! [X0,X1] :
( ~ r1_tarski(k1_card_1(X0),k1_card_1(X1))
| r1_tarski(k2_relat_1(sK428(X0,X1)),X1) ),
inference(cnf_transformation,[],[f9972]) ).
fof(f13050,plain,
! [X0,X1] :
( ~ r1_tarski(k1_card_1(X0),k1_card_1(X1))
| k1_relat_1(sK428(X0,X1)) = X0 ),
inference(cnf_transformation,[],[f9972]) ).
fof(f13051,plain,
! [X0,X1] :
( ~ r1_tarski(k1_card_1(X0),k1_card_1(X1))
| v2_funct_1(sK428(X0,X1)) ),
inference(cnf_transformation,[],[f9972]) ).
fof(f13052,plain,
! [X0,X1] :
( ~ r1_tarski(k1_card_1(X0),k1_card_1(X1))
| v1_funct_1(sK428(X0,X1)) ),
inference(cnf_transformation,[],[f9972]) ).
fof(f13053,plain,
! [X0,X1] :
( ~ r1_tarski(k1_card_1(X0),k1_card_1(X1))
| v1_relat_1(sK428(X0,X1)) ),
inference(cnf_transformation,[],[f9972]) ).
fof(f13054,plain,
! [X2,X0,X1] :
( ~ r1_tarski(k2_relat_1(X2),X1)
| k1_relat_1(X2) != X0
| ~ v2_funct_1(X2)
| ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| r1_tarski(k1_card_1(X0),k1_card_1(X1)) ),
inference(cnf_transformation,[],[f9972]) ).
fof(f13055,plain,
! [X2,X0,X1,X6,X5] :
( v1_xboole_0(X0)
| v1_xboole_0(X1)
| ~ m2_relset_1(X2,X0,X1)
| ~ v1_funct_2(X2,X0,X1)
| ~ v1_funct_1(X2)
| ~ v2_funct_1(X2)
| ~ m1_subset_1(X5,X0)
| ~ m1_subset_1(X6,X0)
| k8_funct_2(X0,X1,X2,X5) != k8_funct_2(X0,X1,X2,X6)
| X5 = X6 ),
inference(cnf_transformation,[],[f9975]) ).
fof(f13056,plain,
! [X2,X0,X1] :
( v1_xboole_0(X0)
| v1_xboole_0(X1)
| ~ m2_relset_1(X2,X0,X1)
| ~ v1_funct_2(X2,X0,X1)
| ~ v1_funct_1(X2)
| m1_subset_1(sK429(X0,X1,X2),X0)
| v2_funct_1(X2) ),
inference(cnf_transformation,[],[f9975]) ).
fof(f13057,plain,
! [X2,X0,X1] :
( v1_xboole_0(X0)
| v1_xboole_0(X1)
| ~ m2_relset_1(X2,X0,X1)
| ~ v1_funct_2(X2,X0,X1)
| ~ v1_funct_1(X2)
| m1_subset_1(sK430(X0,X1,X2),X0)
| v2_funct_1(X2) ),
inference(cnf_transformation,[],[f9975]) ).
fof(f13058,plain,
! [X2,X0,X1] :
( v1_xboole_0(X0)
| v1_xboole_0(X1)
| ~ m2_relset_1(X2,X0,X1)
| ~ v1_funct_2(X2,X0,X1)
| ~ v1_funct_1(X2)
| k8_funct_2(X0,X1,X2,sK429(X0,X1,X2)) = k8_funct_2(X0,X1,X2,sK430(X0,X1,X2))
| v2_funct_1(X2) ),
inference(cnf_transformation,[],[f9975]) ).
fof(f13059,plain,
! [X2,X0,X1] :
( v1_xboole_0(X0)
| v1_xboole_0(X1)
| ~ m2_relset_1(X2,X0,X1)
| ~ v1_funct_2(X2,X0,X1)
| ~ v1_funct_1(X2)
| sK429(X0,X1,X2) != sK430(X0,X1,X2)
| v2_funct_1(X2) ),
inference(cnf_transformation,[],[f9975]) ).
fof(f13060,plain,
! [X0,X1] :
( ~ v1_finseq_1(X0)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ~ v1_finseq_1(X1)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ~ v2_funct_1(X1)
| ~ v2_funct_1(X0)
| k2_relat_1(X0) != k2_relat_1(X1)
| k3_finseq_1(X0) = k3_finseq_1(X1) ),
inference(cnf_transformation,[],[f8476]) ).
fof(f13061,plain,
v1_finseq_1(sK431),
inference(cnf_transformation,[],[f9976]) ).
fof(f13062,plain,
v1_finset_1(sK431),
inference(cnf_transformation,[],[f9976]) ).
fof(f13063,plain,
v2_funct_1(sK431),
inference(cnf_transformation,[],[f9976]) ).
fof(f13064,plain,
v1_funct_1(sK431),
inference(cnf_transformation,[],[f9976]) ).
fof(f13065,plain,
v1_relat_1(sK431),
inference(cnf_transformation,[],[f9976]) ).
fof(f13066,plain,
v1_xboole_0(sK431),
inference(cnf_transformation,[],[f9976]) ).
fof(f13068,plain,
! [X0,X1,X4,X5] :
( ~ m2_relset_1(X1,X0,X0)
| ~ v1_funct_2(X1,X0,X0)
| ~ v1_funct_1(X1)
| ~ v2_funct_1(X1)
| k1_funct_1(X1,X4) != k1_funct_1(X1,X5)
| ~ r2_hidden(X5,X0)
| ~ r2_hidden(X4,X0)
| X4 = X5 ),
inference(cnf_transformation,[],[f9979]) ).
fof(f13069,plain,
! [X0,X1] :
( ~ m2_relset_1(X1,X0,X0)
| ~ v1_funct_2(X1,X0,X0)
| ~ v1_funct_1(X1)
| k1_funct_1(X1,sK432(X0,X1)) = k1_funct_1(X1,sK433(X0,X1))
| v2_funct_1(X1) ),
inference(cnf_transformation,[],[f9979]) ).
fof(f13070,plain,
! [X0,X1] :
( ~ m2_relset_1(X1,X0,X0)
| ~ v1_funct_2(X1,X0,X0)
| ~ v1_funct_1(X1)
| r2_hidden(sK433(X0,X1),X0)
| v2_funct_1(X1) ),
inference(cnf_transformation,[],[f9979]) ).
fof(f13071,plain,
! [X0,X1] :
( ~ m2_relset_1(X1,X0,X0)
| ~ v1_funct_2(X1,X0,X0)
| ~ v1_funct_1(X1)
| r2_hidden(sK432(X0,X1),X0)
| v2_funct_1(X1) ),
inference(cnf_transformation,[],[f9979]) ).
fof(f13072,plain,
! [X0,X1] :
( ~ m2_relset_1(X1,X0,X0)
| ~ v1_funct_2(X1,X0,X0)
| ~ v1_funct_1(X1)
| sK432(X0,X1) != sK433(X0,X1)
| v2_funct_1(X1) ),
inference(cnf_transformation,[],[f9979]) ).
fof(f13078,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X2,X0,X1)
| ~ v1_funct_2(X2,X0,X1)
| ~ v1_funct_1(X2)
| k1_xboole_0 = X1
| sP26(X0,X2) ),
inference(cnf_transformation,[],[f9253]) ).
fof(f13079,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X2,X0,X1)
| ~ v1_funct_2(X2,X0,X1)
| ~ v1_funct_1(X2)
| k1_xboole_0 != X0
| sP26(X0,X2) ),
inference(cnf_transformation,[],[f9253]) ).
fof(f13080,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X2,k1_tarski(X0),X1)
| ~ v1_funct_1(X2)
| v2_funct_1(X2) ),
inference(cnf_transformation,[],[f8484]) ).
fof(f13081,plain,
! [X0,X1] :
( ~ m2_relset_1(X1,X0,k1_xboole_0)
| ~ v1_funct_1(X1)
| v2_funct_1(X1) ),
inference(cnf_transformation,[],[f8486]) ).
fof(f13082,plain,
! [X0,X1] :
( ~ m2_relset_1(X1,k1_xboole_0,X0)
| ~ v1_funct_1(X1)
| v2_funct_1(X1) ),
inference(cnf_transformation,[],[f8488]) ).
fof(f13083,plain,
v1_xboole_0(sK436),
inference(cnf_transformation,[],[f9983]) ).
fof(f13084,plain,
v2_funct_1(sK436),
inference(cnf_transformation,[],[f9983]) ).
fof(f13085,plain,
v1_funct_1(sK436),
inference(cnf_transformation,[],[f9983]) ).
fof(f13086,plain,
v1_relat_1(sK436),
inference(cnf_transformation,[],[f9983]) ).
fof(f13087,plain,
! [X3,X0] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ~ v2_funct_1(X0)
| r1_tarski(k10_relat_1(X0,k1_tarski(X3)),k1_tarski(sK438(X0,X3))) ),
inference(cnf_transformation,[],[f9986]) ).
fof(f13088,plain,
! [X2,X0] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ~ r1_tarski(k10_relat_1(X0,k1_tarski(sK437(X0))),k1_tarski(X2))
| v2_funct_1(X0) ),
inference(cnf_transformation,[],[f9986]) ).
fof(f13089,plain,
! [X2,X0,X1] :
( ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| ~ v2_funct_1(X2)
| ~ r1_tarski(X0,k1_relat_1(X2))
| ~ r1_tarski(k9_relat_1(X2,X0),k9_relat_1(X2,X1))
| r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f8492]) ).
fof(f13090,plain,
! [X0] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ~ r1_tarski(k10_relat_1(X0,k9_relat_1(X0,sK439(X0))),sK439(X0))
| v2_funct_1(X0) ),
inference(cnf_transformation,[],[f9987]) ).
fof(f13091,plain,
! [X0,X1] :
( ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ~ v2_funct_1(X1)
| r1_tarski(k10_relat_1(X1,k9_relat_1(X1,X0)),X0) ),
inference(cnf_transformation,[],[f8496]) ).
fof(f13092,plain,
! [X0,X4] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| k1_tarski(X4) != k10_relat_1(X0,k1_tarski(sK441(X0)))
| v2_funct_1(X0) ),
inference(cnf_transformation,[],[f9990]) ).
fof(f13093,plain,
! [X0] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| r2_hidden(sK441(X0),k2_relat_1(X0))
| v2_funct_1(X0) ),
inference(cnf_transformation,[],[f9990]) ).
fof(f13094,plain,
! [X0,X1] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ~ v2_funct_1(X0)
| k10_relat_1(X0,k1_tarski(X1)) = k1_tarski(sK440(X0,X1))
| ~ r2_hidden(X1,k2_relat_1(X0)) ),
inference(cnf_transformation,[],[f9990]) ).
fof(f13095,plain,
! [X0] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| k9_relat_1(X0,k4_xboole_0(sK442(X0),sK443(X0))) != k4_xboole_0(k9_relat_1(X0,sK442(X0)),k9_relat_1(X0,sK443(X0)))
| v2_funct_1(X0) ),
inference(cnf_transformation,[],[f9991]) ).
fof(f13096,plain,
! [X2,X0,X1] :
( ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| ~ v2_funct_1(X2)
| k4_xboole_0(k9_relat_1(X2,X0),k9_relat_1(X2,X1)) = k9_relat_1(X2,k4_xboole_0(X0,X1)) ),
inference(cnf_transformation,[],[f8502]) ).
fof(f13097,plain,
! [X0] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| k9_relat_1(X0,k3_xboole_0(sK444(X0),sK445(X0))) != k3_xboole_0(k9_relat_1(X0,sK444(X0)),k9_relat_1(X0,sK445(X0)))
| v2_funct_1(X0) ),
inference(cnf_transformation,[],[f9992]) ).
fof(f13098,plain,
! [X2,X0,X1] :
( ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| ~ v2_funct_1(X2)
| k9_relat_1(X2,k3_xboole_0(X0,X1)) = k3_xboole_0(k9_relat_1(X2,X0),k9_relat_1(X2,X1)) ),
inference(cnf_transformation,[],[f8506]) ).
fof(f13099,plain,
! [X3,X0,X4] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ~ v2_funct_1(X0)
| k1_funct_1(X0,X3) != k1_funct_1(X0,X4)
| ~ r2_hidden(X4,k1_relat_1(X0))
| ~ r2_hidden(X3,k1_relat_1(X0))
| X3 = X4 ),
inference(cnf_transformation,[],[f9995]) ).
fof(f13100,plain,
! [X0] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| k1_funct_1(X0,sK446(X0)) = k1_funct_1(X0,sK447(X0))
| v2_funct_1(X0) ),
inference(cnf_transformation,[],[f9995]) ).
fof(f13101,plain,
! [X0] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| r2_hidden(sK447(X0),k1_relat_1(X0))
| v2_funct_1(X0) ),
inference(cnf_transformation,[],[f9995]) ).
fof(f13102,plain,
! [X0] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| r2_hidden(sK446(X0),k1_relat_1(X0))
| v2_funct_1(X0) ),
inference(cnf_transformation,[],[f9995]) ).
fof(f13103,plain,
! [X0] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| sK446(X0) != sK447(X0)
| v2_funct_1(X0) ),
inference(cnf_transformation,[],[f9995]) ).
fof(f13104,plain,
v2_funct_1(sK448),
inference(cnf_transformation,[],[f9996]) ).
fof(f13105,plain,
v1_funct_1(sK448),
inference(cnf_transformation,[],[f9996]) ).
fof(f13106,plain,
v1_relat_1(sK448),
inference(cnf_transformation,[],[f9996]) ).
fof(f13107,plain,
! [X0] :
( ~ v1_funct_1(X0)
| ~ v1_xboole_0(X0)
| ~ v1_relat_1(X0)
| v2_funct_1(X0) ),
inference(cnf_transformation,[],[f8510]) ).
fof(f13110,plain,
! [X0,X1] :
( ~ l3_lattices(X0)
| ~ v13_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_filter_0(X1,X0)
| ~ r2_hidden(k5_lattices(X0),X1)
| ~ v1_filter_0(X1,X0) ),
inference(cnf_transformation,[],[f8512]) ).
fof(f13111,plain,
! [X2,X0,X1] :
( ~ l3_lattices(X0)
| v3_realset2(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_filter_0(X2,X0)
| ~ r2_hidden(X1,X2)
| r2_hidden(X2,k8_funct_2(u1_struct_0(X0),k1_zfmisc_1(k7_lopclset(X0)),k9_lopclset(X0),X1))
| ~ v1_filter_0(X2,X0) ),
inference(cnf_transformation,[],[f8514]) ).
fof(f13112,plain,
! [X2,X3,X0,X1] :
( ~ l3_lattices(X0)
| v3_realset2(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_filter_0(X3,X0)
| ~ v1_filter_0(X3,X0)
| ~ r2_hidden(k3_lattices(X0,X1,X2),X3)
| r2_hidden(X2,X3)
| r2_hidden(X1,X3) ),
inference(cnf_transformation,[],[f9998]) ).
fof(f13115,plain,
! [X0,X1] :
( ~ l3_lattices(X1)
| v3_realset2(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ~ r2_hidden(X0,k7_lopclset(X1))
| v1_filter_0(sK449(X0,X1),X1) ),
inference(cnf_transformation,[],[f10001]) ).
fof(f13116,plain,
! [X0,X1] :
( ~ l3_lattices(X1)
| v3_realset2(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ~ r2_hidden(X0,k7_lopclset(X1))
| sK449(X0,X1) = X0 ),
inference(cnf_transformation,[],[f10001]) ).
fof(f13117,plain,
! [X0,X1] :
( ~ l3_lattices(X1)
| v3_realset2(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ~ r2_hidden(X0,k7_lopclset(X1))
| m1_filter_0(sK449(X0,X1),X1) ),
inference(cnf_transformation,[],[f10001]) ).
fof(f13118,plain,
! [X2,X0,X1] :
( ~ l3_lattices(X1)
| v3_realset2(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ~ v1_filter_0(X2,X1)
| X0 != X2
| ~ m1_filter_0(X2,X1)
| r2_hidden(X0,k7_lopclset(X1)) ),
inference(cnf_transformation,[],[f10001]) ).
fof(f13119,plain,
! [X2,X0,X1] :
( ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| m1_filter_0(sK450(X0,X1,X2),X0)
| X1 = X2 ),
inference(cnf_transformation,[],[f10002]) ).
fof(f13121,plain,
! [X2,X0,X1] :
( ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ r2_hidden(X1,sK450(X0,X1,X2))
| ~ r2_hidden(X2,sK450(X0,X1,X2))
| X1 = X2 ),
inference(cnf_transformation,[],[f10002]) ).
fof(f13122,plain,
! [X2,X0,X1] :
( ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| r2_hidden(X2,sK450(X0,X1,X2))
| r2_hidden(X1,sK450(X0,X1,X2))
| X1 = X2 ),
inference(cnf_transformation,[],[f10002]) ).
fof(f13124,plain,
! [X2,X0,X1] :
( ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| v1_filter_0(sK450(X0,X1,X2),X0)
| X1 = X2 ),
inference(cnf_transformation,[],[f10002]) ).
fof(f13125,plain,
! [X2,X0,X1] :
( ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_filter_0(X1,X0)
| ~ v1_filter_0(X1,X0)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ r2_hidden(X2,X1)
| ~ r2_hidden(k7_lattices(X0,X2),X1) ),
inference(cnf_transformation,[],[f10003]) ).
fof(f13127,plain,
! [X3,X0,X1] :
( ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_filter_0(X1,X0)
| ~ v1_filter_0(X1,X0)
| ~ m1_subset_1(X3,u1_struct_0(X0))
| r2_hidden(k7_lattices(X0,X3),X1)
| r2_hidden(X3,X1) ),
inference(cnf_transformation,[],[f10007]) ).
fof(f13128,plain,
! [X0,X1] :
( ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_filter_0(X1,X0)
| ~ v1_filter_0(X1,X0)
| u1_struct_0(X0) != X1 ),
inference(cnf_transformation,[],[f10007]) ).
fof(f13129,plain,
! [X0,X1] :
( ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_filter_0(X1,X0)
| m1_subset_1(sK451(X0,X1),u1_struct_0(X0))
| u1_struct_0(X0) = X1
| v1_filter_0(X1,X0) ),
inference(cnf_transformation,[],[f10007]) ).
fof(f13130,plain,
! [X0,X1] :
( ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_filter_0(X1,X0)
| ~ r2_hidden(k7_lattices(X0,sK451(X0,X1)),X1)
| u1_struct_0(X0) = X1
| v1_filter_0(X1,X0) ),
inference(cnf_transformation,[],[f10007]) ).
fof(f13131,plain,
! [X0,X1] :
( ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_filter_0(X1,X0)
| ~ r2_hidden(sK451(X0,X1),X1)
| u1_struct_0(X0) = X1
| v1_filter_0(X1,X0) ),
inference(cnf_transformation,[],[f10007]) ).
fof(f13135,plain,
! [X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ v13_lattices(X0)
| ~ m1_filter_0(X1,X0)
| m1_filter_0(sK453(X0,X1),X0)
| u1_struct_0(X0) = X1 ),
inference(cnf_transformation,[],[f10009]) ).
fof(f13136,plain,
! [X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ v13_lattices(X0)
| ~ m1_filter_0(X1,X0)
| v1_filter_0(sK453(X0,X1),X0)
| u1_struct_0(X0) = X1 ),
inference(cnf_transformation,[],[f10009]) ).
fof(f13137,plain,
! [X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ v13_lattices(X0)
| ~ m1_filter_0(X1,X0)
| r1_tarski(X1,sK453(X0,X1))
| u1_struct_0(X0) = X1 ),
inference(cnf_transformation,[],[f10009]) ).
fof(f13138,plain,
! [X3,X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_filter_0(X1,X0)
| ~ v1_filter_0(X1,X0)
| ~ m1_filter_0(X3,X0)
| ~ r1_tarski(X1,X3)
| X1 = X3
| u1_struct_0(X0) = X3 ),
inference(cnf_transformation,[],[f10013]) ).
fof(f13139,plain,
! [X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_filter_0(X1,X0)
| ~ v1_filter_0(X1,X0)
| u1_struct_0(X0) != X1 ),
inference(cnf_transformation,[],[f10013]) ).
fof(f13140,plain,
! [X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_filter_0(X1,X0)
| m1_filter_0(sK454(X0,X1),X0)
| u1_struct_0(X0) = X1
| v1_filter_0(X1,X0) ),
inference(cnf_transformation,[],[f10013]) ).
fof(f13141,plain,
! [X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_filter_0(X1,X0)
| r1_tarski(X1,sK454(X0,X1))
| u1_struct_0(X0) = X1
| v1_filter_0(X1,X0) ),
inference(cnf_transformation,[],[f10013]) ).
fof(f13142,plain,
! [X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_filter_0(X1,X0)
| sK454(X0,X1) != X1
| u1_struct_0(X0) = X1
| v1_filter_0(X1,X0) ),
inference(cnf_transformation,[],[f10013]) ).
fof(f13143,plain,
! [X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_filter_0(X1,X0)
| u1_struct_0(X0) != sK454(X0,X1)
| u1_struct_0(X0) = X1
| v1_filter_0(X1,X0) ),
inference(cnf_transformation,[],[f10013]) ).
fof(f13144,plain,
! [X0] :
( ~ l3_lattices(X0)
| v3_realset2(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| k7_lopclset(X0) = k8_funct_2(u1_struct_0(X0),k1_zfmisc_1(k7_lopclset(X0)),k9_lopclset(X0),k6_lattices(X0)) ),
inference(cnf_transformation,[],[f8532]) ).
fof(f13145,plain,
! [X0] :
( ~ l3_lattices(X0)
| v3_realset2(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| k1_xboole_0 = k8_funct_2(u1_struct_0(X0),k1_zfmisc_1(k7_lopclset(X0)),k9_lopclset(X0),k5_lattices(X0)) ),
inference(cnf_transformation,[],[f8534]) ).
fof(f13146,plain,
! [X0] :
( ~ l3_lattices(X0)
| v3_realset2(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| v2_funct_1(k9_lopclset(X0)) ),
inference(cnf_transformation,[],[f8536]) ).
fof(f13147,plain,
! [X0,X1] :
( ~ l3_lattices(X0)
| v3_realset2(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| k4_xboole_0(k7_lopclset(X0),k8_funct_2(u1_struct_0(X0),k1_zfmisc_1(k7_lopclset(X0)),k9_lopclset(X0),X1)) = k8_funct_2(u1_struct_0(X0),k1_zfmisc_1(k7_lopclset(X0)),k9_lopclset(X0),k7_lattices(X0,X1)) ),
inference(cnf_transformation,[],[f8538]) ).
fof(f13148,plain,
! [X0] :
( ~ l3_lattices(X0)
| v3_realset2(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| m2_relset_1(k9_lopclset(X0),u1_struct_0(X0),k1_zfmisc_1(k7_lopclset(X0))) ),
inference(cnf_transformation,[],[f8540]) ).
fof(f13149,plain,
! [X0] :
( ~ l3_lattices(X0)
| v3_realset2(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| v1_funct_2(k9_lopclset(X0),u1_struct_0(X0),k1_zfmisc_1(k7_lopclset(X0))) ),
inference(cnf_transformation,[],[f8540]) ).
fof(f13150,plain,
! [X0] :
( ~ l3_lattices(X0)
| v3_realset2(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| v1_funct_1(k9_lopclset(X0)) ),
inference(cnf_transformation,[],[f8540]) ).
fof(f13151,plain,
! [X0] :
( ~ l3_lattices(X0)
| v3_realset2(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ v1_xboole_0(k7_lopclset(X0)) ),
inference(cnf_transformation,[],[f8542]) ).
fof(f13152,plain,
! [X0] :
( ~ l3_lattices(X0)
| v3_realset2(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| m1_subset_1(k7_lopclset(X0),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(X0)))) ),
inference(cnf_transformation,[],[f8544]) ).
fof(f13153,plain,
! [X2,X0,X1] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| ~ m1_eqrel_1(X1,u1_struct_0(X0))
| v1_xboole_0(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| ~ r2_hidden(k3_tarski(X2),u1_pre_topc(X0))
| r2_hidden(X2,u1_pre_topc(k16_borsuk_1(X0,X1))) ),
inference(cnf_transformation,[],[f10014]) ).
fof(f13154,plain,
! [X2,X0,X1] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| ~ m1_eqrel_1(X1,u1_struct_0(X0))
| v1_xboole_0(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| ~ r2_hidden(X2,u1_pre_topc(k16_borsuk_1(X0,X1)))
| r2_hidden(k3_tarski(X2),u1_pre_topc(X0)) ),
inference(cnf_transformation,[],[f10014]) ).
fof(f13155,plain,
! [X2,X3,X0,X1,X4] :
( ~ v1_int_1(X0)
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| v3_struct_0(X1)
| ~ l1_group_1(X2)
| ~ v4_group_1(X2)
| ~ v3_group_1(X2)
| v3_struct_0(X2)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m2_relset_1(X4,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_group_6(X4,X1,X2)
| ~ v1_funct_2(X4,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_1(X4)
| k8_funct_2(u1_struct_0(X1),u1_struct_0(X2),X4,k6_group_1(X1,X0,X3)) = k6_group_1(X2,X0,k8_funct_2(u1_struct_0(X1),u1_struct_0(X2),X4,X3)) ),
inference(cnf_transformation,[],[f8548]) ).
fof(f13156,plain,
! [X2,X3,X0,X1,X4] :
( ~ m2_subset_1(X0,k1_numbers,k5_numbers)
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| v3_struct_0(X1)
| ~ l1_group_1(X2)
| ~ v4_group_1(X2)
| ~ v3_group_1(X2)
| v3_struct_0(X2)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m2_relset_1(X4,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_group_6(X4,X1,X2)
| ~ v1_funct_2(X4,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_1(X4)
| k8_funct_2(u1_struct_0(X1),u1_struct_0(X2),X4,k6_group_1(X1,X0,X3)) = k6_group_1(X2,X0,k8_funct_2(u1_struct_0(X1),u1_struct_0(X2),X4,X3)) ),
inference(cnf_transformation,[],[f8550]) ).
fof(f13157,plain,
! [X2,X0,X1] :
( ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| v3_struct_0(X1)
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_group_6(X2,X0,X1)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X2)
| k2_group_1(X1) = k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,k2_group_1(X0)) ),
inference(cnf_transformation,[],[f8552]) ).
fof(f13158,plain,
! [X2,X0,X1,X6,X5] :
( ~ l1_group_1(X0)
| v3_struct_0(X0)
| ~ l1_group_1(X1)
| v3_struct_0(X1)
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X2)
| ~ v1_group_6(X2,X0,X1)
| ~ m1_subset_1(X5,u1_struct_0(X0))
| ~ m1_subset_1(X6,u1_struct_0(X0))
| k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,k1_group_1(X0,X5,X6)) = k1_group_1(X1,k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,X5),k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,X6)) ),
inference(cnf_transformation,[],[f10017]) ).
fof(f13159,plain,
! [X2,X0,X1] :
( ~ l1_group_1(X0)
| v3_struct_0(X0)
| ~ l1_group_1(X1)
| v3_struct_0(X1)
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X2)
| m1_subset_1(sK455(X0,X1,X2),u1_struct_0(X0))
| v1_group_6(X2,X0,X1) ),
inference(cnf_transformation,[],[f10017]) ).
fof(f13160,plain,
! [X2,X0,X1] :
( ~ l1_group_1(X0)
| v3_struct_0(X0)
| ~ l1_group_1(X1)
| v3_struct_0(X1)
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X2)
| m1_subset_1(sK456(X0,X1,X2),u1_struct_0(X0))
| v1_group_6(X2,X0,X1) ),
inference(cnf_transformation,[],[f10017]) ).
fof(f13161,plain,
! [X2,X0,X1] :
( ~ l1_group_1(X0)
| v3_struct_0(X0)
| ~ l1_group_1(X1)
| v3_struct_0(X1)
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X2)
| k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,k1_group_1(X0,sK455(X0,X1,X2),sK456(X0,X1,X2))) != k1_group_1(X1,k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,sK455(X0,X1,X2)),k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,sK456(X0,X1,X2)))
| v1_group_6(X2,X0,X1) ),
inference(cnf_transformation,[],[f10017]) ).
fof(f13162,plain,
! [X0,X1] :
( ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| v3_struct_0(X1)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| v1_group_6(sK457(X0,X1),X0,X1) ),
inference(cnf_transformation,[],[f10018]) ).
fof(f13163,plain,
! [X0,X1] :
( ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| v3_struct_0(X1)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| v1_partfun1(sK457(X0,X1),u1_struct_0(X0),u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f10018]) ).
fof(f13164,plain,
! [X0,X1] :
( ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| v3_struct_0(X1)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| v1_funct_2(sK457(X0,X1),u1_struct_0(X0),u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f10018]) ).
fof(f13165,plain,
! [X0,X1] :
( ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| v3_struct_0(X1)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| v1_funct_1(sK457(X0,X1)) ),
inference(cnf_transformation,[],[f10018]) ).
fof(f13166,plain,
! [X0,X1] :
( ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| v3_struct_0(X1)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| v1_relat_1(sK457(X0,X1)) ),
inference(cnf_transformation,[],[f10018]) ).
fof(f13167,plain,
! [X0,X1] :
( ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| v3_struct_0(X1)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ~ v1_xboole_0(sK457(X0,X1)) ),
inference(cnf_transformation,[],[f10018]) ).
fof(f13168,plain,
! [X0,X1] :
( ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| v3_struct_0(X1)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| m1_relset_1(sK457(X0,X1),u1_struct_0(X0),u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f10018]) ).
fof(f13169,plain,
! [X2,X0,X1] :
( ~ m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_group_6(X2,X0,X1)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X2)
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| v3_struct_0(X1)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| m1_group_2(k13_group_6(X0,X1,X2),X1) ),
inference(cnf_transformation,[],[f8558]) ).
fof(f13170,plain,
! [X2,X0,X1] :
( ~ m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_group_6(X2,X0,X1)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X2)
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| v3_struct_0(X1)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| v1_group_1(k13_group_6(X0,X1,X2)) ),
inference(cnf_transformation,[],[f8558]) ).
fof(f13172,plain,
! [X2,X0,X1] :
( ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| v3_struct_0(X1)
| ~ m2_relset_1(X2,u1_struct_0(X1),u1_struct_0(X0))
| ~ v1_group_6(X2,X1,X0)
| ~ v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X0))
| ~ v1_funct_1(X2)
| m2_relset_1(X2,u1_struct_0(X1),u1_struct_0(k13_group_6(X1,X0,X2))) ),
inference(cnf_transformation,[],[f8562]) ).
fof(f13173,plain,
! [X2,X0,X1] :
( ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| v3_struct_0(X1)
| ~ m2_relset_1(X2,u1_struct_0(X1),u1_struct_0(X0))
| ~ v1_group_6(X2,X1,X0)
| ~ v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X0))
| ~ v1_funct_1(X2)
| v1_group_6(X2,X1,k13_group_6(X1,X0,X2)) ),
inference(cnf_transformation,[],[f8562]) ).
fof(f13174,plain,
! [X2,X0,X1] :
( ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| v3_struct_0(X1)
| ~ m2_relset_1(X2,u1_struct_0(X1),u1_struct_0(X0))
| ~ v1_group_6(X2,X1,X0)
| ~ v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X0))
| ~ v1_funct_1(X2)
| v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(k13_group_6(X1,X0,X2))) ),
inference(cnf_transformation,[],[f8562]) ).
fof(f13176,plain,
! [X2,X3,X0,X1] :
( ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| v3_struct_0(X1)
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_group_6(X2,X0,X1)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X2)
| ~ m1_group_2(X3,X1)
| ~ v1_group_1(X3)
| k13_group_6(X0,X1,X2) != X3
| u1_struct_0(X3) = k2_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f10019]) ).
fof(f13177,plain,
! [X2,X3,X0,X1] :
( ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| v3_struct_0(X1)
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_group_6(X2,X0,X1)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X2)
| ~ m1_group_2(X3,X1)
| ~ v1_group_1(X3)
| u1_struct_0(X3) != k2_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,u1_struct_0(X0))
| k13_group_6(X0,X1,X2) = X3 ),
inference(cnf_transformation,[],[f10019]) ).
fof(f13178,plain,
v3_realset2(sK458),
inference(cnf_transformation,[],[f10020]) ).
fof(f13179,plain,
v4_group_1(sK458),
inference(cnf_transformation,[],[f10020]) ).
fof(f13180,plain,
v3_group_1(sK458),
inference(cnf_transformation,[],[f10020]) ).
fof(f13181,plain,
v2_group_1(sK458),
inference(cnf_transformation,[],[f10020]) ).
fof(f13182,plain,
~ v3_struct_0(sK458),
inference(cnf_transformation,[],[f10020]) ).
fof(f13183,plain,
l1_group_1(sK458),
inference(cnf_transformation,[],[f10020]) ).
fof(f13184,plain,
! [X0] :
( ~ l1_group_1(X0)
| ~ v2_group_1(X0)
| v3_struct_0(X0)
| v1_setwiseo(u1_group_1(X0),u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f8566]) ).
fof(f13185,plain,
! [X3,X0,X1] :
( ~ l1_group_1(X0)
| v3_struct_0(X0)
| ~ v2_group_1(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| k2_group_1(X0) != X1
| ~ m1_subset_1(X3,u1_struct_0(X0))
| k1_group_1(X0,X1,X3) = X3 ),
inference(cnf_transformation,[],[f10023]) ).
fof(f13186,plain,
! [X3,X0,X1] :
( ~ l1_group_1(X0)
| v3_struct_0(X0)
| ~ v2_group_1(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| k2_group_1(X0) != X1
| ~ m1_subset_1(X3,u1_struct_0(X0))
| k1_group_1(X0,X3,X1) = X3 ),
inference(cnf_transformation,[],[f10023]) ).
fof(f13187,plain,
! [X0,X1] :
( ~ l1_group_1(X0)
| v3_struct_0(X0)
| ~ v2_group_1(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| m1_subset_1(sK459(X0,X1),u1_struct_0(X0))
| k2_group_1(X0) = X1 ),
inference(cnf_transformation,[],[f10023]) ).
fof(f13188,plain,
! [X0,X1] :
( ~ l1_group_1(X0)
| v3_struct_0(X0)
| ~ v2_group_1(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| sK459(X0,X1) != k1_group_1(X0,X1,sK459(X0,X1))
| sK459(X0,X1) != k1_group_1(X0,sK459(X0,X1),X1)
| k2_group_1(X0) = X1 ),
inference(cnf_transformation,[],[f10023]) ).
fof(f13189,plain,
! [X0,X4] :
( ~ l1_group_1(X0)
| v3_struct_0(X0)
| ~ v2_group_1(X0)
| ~ m1_subset_1(X4,u1_struct_0(X0))
| k1_group_1(X0,sK461(X0),X4) = X4 ),
inference(cnf_transformation,[],[f10026]) ).
fof(f13190,plain,
! [X0,X4] :
( ~ l1_group_1(X0)
| v3_struct_0(X0)
| ~ v2_group_1(X0)
| ~ m1_subset_1(X4,u1_struct_0(X0))
| k1_group_1(X0,X4,sK461(X0)) = X4 ),
inference(cnf_transformation,[],[f10026]) ).
fof(f13191,plain,
! [X0] :
( ~ l1_group_1(X0)
| v3_struct_0(X0)
| ~ v2_group_1(X0)
| m1_subset_1(sK461(X0),u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f10026]) ).
fof(f13192,plain,
! [X0,X1] :
( ~ l1_group_1(X0)
| v3_struct_0(X0)
| m1_subset_1(sK460(X0,X1),u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| v2_group_1(X0) ),
inference(cnf_transformation,[],[f10026]) ).
fof(f13193,plain,
! [X0,X1] :
( ~ l1_group_1(X0)
| v3_struct_0(X0)
| sK460(X0,X1) != k1_group_1(X0,X1,sK460(X0,X1))
| sK460(X0,X1) != k1_group_1(X0,sK460(X0,X1),X1)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| v2_group_1(X0) ),
inference(cnf_transformation,[],[f10026]) ).
fof(f13195,plain,
v4_group_1(sK462),
inference(cnf_transformation,[],[f10027]) ).
fof(f13196,plain,
v3_group_1(sK462),
inference(cnf_transformation,[],[f10027]) ).
fof(f13197,plain,
v2_group_1(sK462),
inference(cnf_transformation,[],[f10027]) ).
fof(f13198,plain,
v1_group_1(sK462),
inference(cnf_transformation,[],[f10027]) ).
fof(f13199,plain,
~ v3_struct_0(sK462),
inference(cnf_transformation,[],[f10027]) ).
fof(f13200,plain,
l1_group_1(sK462),
inference(cnf_transformation,[],[f10027]) ).
fof(f13201,plain,
v4_group_1(sK463),
inference(cnf_transformation,[],[f10028]) ).
fof(f13202,plain,
v3_group_1(sK463),
inference(cnf_transformation,[],[f10028]) ).
fof(f13203,plain,
v2_group_1(sK463),
inference(cnf_transformation,[],[f10028]) ).
fof(f13204,plain,
v1_group_1(sK463),
inference(cnf_transformation,[],[f10028]) ).
fof(f13205,plain,
~ v3_struct_0(sK463),
inference(cnf_transformation,[],[f10028]) ).
fof(f13206,plain,
l1_group_1(sK463),
inference(cnf_transformation,[],[f10028]) ).
fof(f13207,plain,
! [X0] :
( ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| v2_group_1(X0) ),
inference(cnf_transformation,[],[f8572]) ).
fof(f13209,plain,
! [X0] :
( ~ l1_group_1(X0)
| m2_relset_1(u1_group_1(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f8573]) ).
fof(f13210,plain,
! [X0] :
( ~ l1_group_1(X0)
| v1_funct_2(u1_group_1(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f8573]) ).
fof(f13211,plain,
! [X0] :
( ~ l1_group_1(X0)
| v1_funct_1(u1_group_1(X0)) ),
inference(cnf_transformation,[],[f8573]) ).
fof(f13212,plain,
! [X0] :
( ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| v3_struct_0(X0)
| v2_binop_1(u1_group_1(X0),u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f8575]) ).
fof(f13213,plain,
! [X2,X0,X1] :
( ~ l1_group_1(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| k1_group_1(X0,X1,X2) = k2_binop_1(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),u1_group_1(X0),X1,X2) ),
inference(cnf_transformation,[],[f8577]) ).
fof(f13214,plain,
! [X0] :
( ~ l1_group_1(X0)
| v3_struct_0(X0)
| m1_subset_1(k2_group_1(X0),u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f8579]) ).
fof(f13215,plain,
! [X0,X1] :
( ~ v1_int_1(X0)
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| v3_struct_0(X1)
| k2_group_1(X1) = k6_group_1(X1,X0,k2_group_1(X1)) ),
inference(cnf_transformation,[],[f8581]) ).
fof(f13217,plain,
! [X0,X1] :
( ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| k2_group_1(X0) = k6_group_1(X0,np__0,X1) ),
inference(cnf_transformation,[],[f8585]) ).
fof(f13218,plain,
! [X0,X1] :
( ~ m2_subset_1(X0,k1_numbers,k5_numbers)
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| v3_struct_0(X1)
| k2_group_1(X1) = k6_group_1(X1,X0,k2_group_1(X1)) ),
inference(cnf_transformation,[],[f8587]) ).
fof(f13219,plain,
! [X2,X0,X1] :
( ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| k1_group_1(X0,X2,X1) != k2_group_1(X0)
| k3_group_1(X0,X1) = X2 ),
inference(cnf_transformation,[],[f8589]) ).
fof(f13220,plain,
! [X2,X0,X1] :
( ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| k1_group_1(X0,X1,X2) != k2_group_1(X0)
| k3_group_1(X0,X1) = X2 ),
inference(cnf_transformation,[],[f8589]) ).
fof(f13223,plain,
! [X0,X1] :
( ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| k2_group_1(X0) != k3_group_1(X0,X1)
| k2_group_1(X0) = X1 ),
inference(cnf_transformation,[],[f8591]) ).
fof(f13224,plain,
! [X0] :
( ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| k2_group_1(X0) = k3_group_1(X0,k2_group_1(X0)) ),
inference(cnf_transformation,[],[f8593]) ).
fof(f13225,plain,
! [X2,X0,X1] :
( ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| k1_group_1(X0,X2,X1) != X1
| k2_group_1(X0) = X2 ),
inference(cnf_transformation,[],[f8595]) ).
fof(f13226,plain,
! [X2,X0,X1] :
( ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| k1_group_1(X0,X1,X2) != X1
| k2_group_1(X0) = X2 ),
inference(cnf_transformation,[],[f8595]) ).
fof(f13228,plain,
! [X2,X0,X1] :
( ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| k3_group_1(X0,X1) != X2
| k1_group_1(X0,X2,X1) = k2_group_1(X0) ),
inference(cnf_transformation,[],[f10030]) ).
fof(f13229,plain,
! [X2,X0,X1] :
( ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| k3_group_1(X0,X1) != X2
| k1_group_1(X0,X1,X2) = k2_group_1(X0) ),
inference(cnf_transformation,[],[f10030]) ).
fof(f13231,plain,
! [X0,X1] :
( ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| m1_subset_1(sK464(X0,X1),u1_struct_0(X0))
| k2_group_1(X0) = X1 ),
inference(cnf_transformation,[],[f10031]) ).
fof(f13232,plain,
! [X0,X1] :
( ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| sK464(X0,X1) != k1_group_1(X0,X1,sK464(X0,X1))
| sK464(X0,X1) != k1_group_1(X0,sK464(X0,X1),X1)
| k2_group_1(X0) = X1 ),
inference(cnf_transformation,[],[f10031]) ).
fof(f13233,plain,
! [X2,X3,X0,X1,X4] :
( ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| v3_struct_0(X1)
| ~ l1_group_1(X2)
| ~ v4_group_1(X2)
| ~ v3_group_1(X2)
| v3_struct_0(X2)
| ~ m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X0))
| ~ v1_group_6(X3,X1,X0)
| ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X0))
| ~ v1_funct_1(X3)
| ~ m2_relset_1(X4,u1_struct_0(X0),u1_struct_0(X2))
| ~ v1_group_6(X4,X0,X2)
| ~ v1_funct_2(X4,u1_struct_0(X0),u1_struct_0(X2))
| ~ v1_funct_1(X4)
| m2_relset_1(k7_funct_2(u1_struct_0(X1),u1_struct_0(X0),u1_struct_0(X2),X3,X4),u1_struct_0(X1),u1_struct_0(X2)) ),
inference(cnf_transformation,[],[f8603]) ).
fof(f13234,plain,
! [X2,X3,X0,X1,X4] :
( ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| v3_struct_0(X1)
| ~ l1_group_1(X2)
| ~ v4_group_1(X2)
| ~ v3_group_1(X2)
| v3_struct_0(X2)
| ~ m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X0))
| ~ v1_group_6(X3,X1,X0)
| ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X0))
| ~ v1_funct_1(X3)
| ~ m2_relset_1(X4,u1_struct_0(X0),u1_struct_0(X2))
| ~ v1_group_6(X4,X0,X2)
| ~ v1_funct_2(X4,u1_struct_0(X0),u1_struct_0(X2))
| ~ v1_funct_1(X4)
| v1_group_6(k7_funct_2(u1_struct_0(X1),u1_struct_0(X0),u1_struct_0(X2),X3,X4),X1,X2) ),
inference(cnf_transformation,[],[f8603]) ).
fof(f13235,plain,
! [X2,X3,X0,X1,X4] :
( ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| v3_struct_0(X1)
| ~ l1_group_1(X2)
| ~ v4_group_1(X2)
| ~ v3_group_1(X2)
| v3_struct_0(X2)
| ~ m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X0))
| ~ v1_group_6(X3,X1,X0)
| ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X0))
| ~ v1_funct_1(X3)
| ~ m2_relset_1(X4,u1_struct_0(X0),u1_struct_0(X2))
| ~ v1_group_6(X4,X0,X2)
| ~ v1_funct_2(X4,u1_struct_0(X0),u1_struct_0(X2))
| ~ v1_funct_1(X4)
| v1_funct_2(k7_funct_2(u1_struct_0(X1),u1_struct_0(X0),u1_struct_0(X2),X3,X4),u1_struct_0(X1),u1_struct_0(X2)) ),
inference(cnf_transformation,[],[f8603]) ).
fof(f13236,plain,
! [X2,X3,X0,X1,X4] :
( ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| v3_struct_0(X1)
| ~ l1_group_1(X2)
| ~ v4_group_1(X2)
| ~ v3_group_1(X2)
| v3_struct_0(X2)
| ~ m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X0))
| ~ v1_group_6(X3,X1,X0)
| ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X0))
| ~ v1_funct_1(X3)
| ~ m2_relset_1(X4,u1_struct_0(X0),u1_struct_0(X2))
| ~ v1_group_6(X4,X0,X2)
| ~ v1_funct_2(X4,u1_struct_0(X0),u1_struct_0(X2))
| ~ v1_funct_1(X4)
| v1_funct_1(k7_funct_2(u1_struct_0(X1),u1_struct_0(X0),u1_struct_0(X2),X3,X4)) ),
inference(cnf_transformation,[],[f8603]) ).
fof(f13241,plain,
! [X2,X3,X0,X1,X4] :
( v1_xboole_0(X0)
| v1_xboole_0(X1)
| v1_xboole_0(X2)
| ~ m2_relset_1(X3,X0,X1)
| ~ v1_funct_2(X3,X0,X1)
| ~ v1_funct_1(X3)
| ~ m2_relset_1(X4,X0,X2)
| ~ v1_funct_2(X4,X0,X2)
| ~ v1_funct_1(X4)
| sP27(X4,X3,X2,X1,X0)
| m1_subset_1(sK466(X0,X1,X2,X3,X4),X0) ),
inference(cnf_transformation,[],[f10035]) ).
fof(f13242,plain,
! [X2,X3,X0,X1,X4] :
( v1_xboole_0(X0)
| v1_xboole_0(X1)
| v1_xboole_0(X2)
| ~ m2_relset_1(X3,X0,X1)
| ~ v1_funct_2(X3,X0,X1)
| ~ v1_funct_1(X3)
| ~ m2_relset_1(X4,X0,X2)
| ~ v1_funct_2(X4,X0,X2)
| ~ v1_funct_1(X4)
| sP27(X4,X3,X2,X1,X0)
| m1_subset_1(sK467(X0,X1,X2,X3,X4),X0) ),
inference(cnf_transformation,[],[f10035]) ).
fof(f13243,plain,
! [X2,X3,X0,X1,X4] :
( v1_xboole_0(X0)
| v1_xboole_0(X1)
| v1_xboole_0(X2)
| ~ m2_relset_1(X3,X0,X1)
| ~ v1_funct_2(X3,X0,X1)
| ~ v1_funct_1(X3)
| ~ m2_relset_1(X4,X0,X2)
| ~ v1_funct_2(X4,X0,X2)
| ~ v1_funct_1(X4)
| sP27(X4,X3,X2,X1,X0)
| k8_funct_2(X0,X1,X3,sK466(X0,X1,X2,X3,X4)) = k8_funct_2(X0,X1,X3,sK467(X0,X1,X2,X3,X4)) ),
inference(cnf_transformation,[],[f10035]) ).
fof(f13244,plain,
! [X2,X3,X0,X1,X4] :
( v1_xboole_0(X0)
| v1_xboole_0(X1)
| v1_xboole_0(X2)
| ~ m2_relset_1(X3,X0,X1)
| ~ v1_funct_2(X3,X0,X1)
| ~ v1_funct_1(X3)
| ~ m2_relset_1(X4,X0,X2)
| ~ v1_funct_2(X4,X0,X2)
| ~ v1_funct_1(X4)
| sP27(X4,X3,X2,X1,X0)
| k8_funct_2(X0,X2,X4,sK466(X0,X1,X2,X3,X4)) != k8_funct_2(X0,X2,X4,sK467(X0,X1,X2,X3,X4)) ),
inference(cnf_transformation,[],[f10035]) ).
fof(f13246,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( v1_xboole_0(X0)
| v1_xboole_0(X1)
| ~ m2_relset_1(X3,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X3,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X3)
| ~ v3_binop_1(X3,X0)
| ~ v2_binop_1(X3,X0)
| ~ v1_binop_1(X3,X0)
| ~ m1_subset_1(X4,k5_finsub_1(X1))
| k1_xboole_0 = X4
| ~ m2_relset_1(X5,X1,k5_finsub_1(X2))
| ~ v1_funct_2(X5,X1,k5_finsub_1(X2))
| ~ v1_funct_1(X5)
| ~ m2_relset_1(X6,k5_finsub_1(X2),X0)
| ~ v1_funct_2(X6,k5_finsub_1(X2),X0)
| ~ v1_funct_1(X6)
| m1_subset_1(sK468(X0,X2,X3,X6),k5_finsub_1(X2))
| k8_funct_2(k5_finsub_1(X2),X0,X6,k10_setwiseo(X1,X2,X4,X5)) = k7_setwiseo(X1,X0,X3,X4,k7_funct_2(X1,k5_finsub_1(X2),X0,X5,X6)) ),
inference(cnf_transformation,[],[f10036]) ).
fof(f13247,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( v1_xboole_0(X0)
| v1_xboole_0(X1)
| ~ m2_relset_1(X3,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X3,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X3)
| ~ v3_binop_1(X3,X0)
| ~ v2_binop_1(X3,X0)
| ~ v1_binop_1(X3,X0)
| ~ m1_subset_1(X4,k5_finsub_1(X1))
| k1_xboole_0 = X4
| ~ m2_relset_1(X5,X1,k5_finsub_1(X2))
| ~ v1_funct_2(X5,X1,k5_finsub_1(X2))
| ~ v1_funct_1(X5)
| ~ m2_relset_1(X6,k5_finsub_1(X2),X0)
| ~ v1_funct_2(X6,k5_finsub_1(X2),X0)
| ~ v1_funct_1(X6)
| m1_subset_1(sK469(X0,X2,X3,X6),k5_finsub_1(X2))
| k8_funct_2(k5_finsub_1(X2),X0,X6,k10_setwiseo(X1,X2,X4,X5)) = k7_setwiseo(X1,X0,X3,X4,k7_funct_2(X1,k5_finsub_1(X2),X0,X5,X6)) ),
inference(cnf_transformation,[],[f10036]) ).
fof(f13248,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( v1_xboole_0(X0)
| v1_xboole_0(X1)
| ~ m2_relset_1(X3,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X3,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X3)
| ~ v3_binop_1(X3,X0)
| ~ v2_binop_1(X3,X0)
| ~ v1_binop_1(X3,X0)
| ~ m1_subset_1(X4,k5_finsub_1(X1))
| k1_xboole_0 = X4
| ~ m2_relset_1(X5,X1,k5_finsub_1(X2))
| ~ v1_funct_2(X5,X1,k5_finsub_1(X2))
| ~ v1_funct_1(X5)
| ~ m2_relset_1(X6,k5_finsub_1(X2),X0)
| ~ v1_funct_2(X6,k5_finsub_1(X2),X0)
| ~ v1_funct_1(X6)
| k8_funct_2(k5_finsub_1(X2),X0,X6,k5_setwiseo(X2,sK468(X0,X2,X3,X6),sK469(X0,X2,X3,X6))) != k2_binop_1(X0,X0,X0,X3,k8_funct_2(k5_finsub_1(X2),X0,X6,sK468(X0,X2,X3,X6)),k8_funct_2(k5_finsub_1(X2),X0,X6,sK469(X0,X2,X3,X6)))
| k8_funct_2(k5_finsub_1(X2),X0,X6,k10_setwiseo(X1,X2,X4,X5)) = k7_setwiseo(X1,X0,X3,X4,k7_funct_2(X1,k5_finsub_1(X2),X0,X5,X6)) ),
inference(cnf_transformation,[],[f10036]) ).
fof(f13249,plain,
! [X2,X3,X0,X1,X4] :
( ~ m1_relset_1(X4,X1,X2)
| ~ v1_funct_2(X4,X1,X2)
| ~ v1_funct_1(X4)
| ~ m1_relset_1(X3,X0,X1)
| ~ v1_funct_2(X3,X0,X1)
| ~ v1_funct_1(X3)
| v1_xboole_0(X1)
| k5_relat_1(X3,X4) = k7_funct_2(X0,X1,X2,X3,X4) ),
inference(cnf_transformation,[],[f8611]) ).
fof(f13250,plain,
! [X2,X3,X0,X1,X4] :
( ~ m1_relset_1(X4,X1,X2)
| ~ v1_funct_2(X4,X1,X2)
| ~ v1_funct_1(X4)
| ~ m1_relset_1(X3,X0,X1)
| ~ v1_funct_2(X3,X0,X1)
| ~ v1_funct_1(X3)
| v1_xboole_0(X1)
| m2_relset_1(k7_funct_2(X0,X1,X2,X3,X4),X0,X2) ),
inference(cnf_transformation,[],[f8613]) ).
fof(f13251,plain,
! [X2,X3,X0,X1,X4] :
( ~ m1_relset_1(X4,X1,X2)
| ~ v1_funct_2(X4,X1,X2)
| ~ v1_funct_1(X4)
| ~ m1_relset_1(X3,X0,X1)
| ~ v1_funct_2(X3,X0,X1)
| ~ v1_funct_1(X3)
| v1_xboole_0(X1)
| v1_funct_2(k7_funct_2(X0,X1,X2,X3,X4),X0,X2) ),
inference(cnf_transformation,[],[f8613]) ).
fof(f13252,plain,
! [X2,X3,X0,X1,X4] :
( ~ m1_relset_1(X4,X1,X2)
| ~ v1_funct_2(X4,X1,X2)
| ~ v1_funct_1(X4)
| ~ m1_relset_1(X3,X0,X1)
| ~ v1_funct_2(X3,X0,X1)
| ~ v1_funct_1(X3)
| v1_xboole_0(X1)
| v1_funct_1(k7_funct_2(X0,X1,X2,X3,X4)) ),
inference(cnf_transformation,[],[f8613]) ).
fof(f13253,plain,
! [X2,X3,X0,X1,X4] :
( ~ m1_relset_1(X4,X0,X1)
| ~ v1_funct_2(X4,X0,X1)
| ~ v1_funct_1(X4)
| ~ m1_subset_1(X3,k5_finsub_1(X0))
| ~ m1_relset_1(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X2)
| v1_xboole_0(X1)
| v1_xboole_0(X0)
| m1_subset_1(k7_setwiseo(X0,X1,X2,X3,X4),X1) ),
inference(cnf_transformation,[],[f8615]) ).
fof(f13254,plain,
! [X2,X3,X0,X1,X4] :
( v1_xboole_0(X0)
| v1_xboole_0(X1)
| ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ m2_relset_1(X3,X1,X0)
| ~ v1_funct_2(X3,X1,X0)
| ~ v1_funct_1(X3)
| ~ v2_binop_1(X2,X0)
| ~ v1_binop_1(X2,X0)
| ~ m1_subset_1(X4,X1)
| k7_setwiseo(X1,X0,X2,k2_setwiseo(X1,X4),X3) = k8_funct_2(X1,X0,X3,X4) ),
inference(cnf_transformation,[],[f8617]) ).
fof(f13255,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,X0)
| v1_xboole_0(X0)
| k1_tarski(X1) = k2_setwiseo(X0,X1) ),
inference(cnf_transformation,[],[f8619]) ).
fof(f13256,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,X0)
| v1_xboole_0(X0)
| m1_subset_1(k2_setwiseo(X0,X1),k5_finsub_1(X0)) ),
inference(cnf_transformation,[],[f8621]) ).
fof(f13257,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X2,k5_finsub_1(X0))
| ~ m1_subset_1(X1,k5_finsub_1(X0))
| k2_xboole_0(X1,X2) = k5_setwiseo(X0,X1,X2) ),
inference(cnf_transformation,[],[f8623]) ).
fof(f13258,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X2,k5_finsub_1(X0))
| ~ m1_subset_1(X1,k5_finsub_1(X0))
| k5_setwiseo(X0,X1,X1) = X1 ),
inference(cnf_transformation,[],[f8625]) ).
fof(f13259,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X2,k5_finsub_1(X0))
| ~ m1_subset_1(X1,k5_finsub_1(X0))
| k5_setwiseo(X0,X1,X2) = k5_setwiseo(X0,X2,X1) ),
inference(cnf_transformation,[],[f8627]) ).
fof(f13260,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X2,k5_finsub_1(X0))
| ~ m1_subset_1(X1,k5_finsub_1(X0))
| m1_subset_1(k5_setwiseo(X0,X1,X2),k5_finsub_1(X0)) ),
inference(cnf_transformation,[],[f8629]) ).
fof(f13261,plain,
! [X0,X6,X4,X5] :
( ~ l3_lattices(X0)
| v3_struct_0(X0)
| ~ v11_lattices(X0)
| ~ m1_subset_1(X4,u1_struct_0(X0))
| ~ m1_subset_1(X5,u1_struct_0(X0))
| ~ m1_subset_1(X6,u1_struct_0(X0))
| k2_lattices(X0,X4,k1_lattices(X0,X5,X6)) = k1_lattices(X0,k2_lattices(X0,X4,X5),k2_lattices(X0,X4,X6)) ),
inference(cnf_transformation,[],[f10039]) ).
fof(f13262,plain,
! [X0] :
( ~ l3_lattices(X0)
| v3_struct_0(X0)
| m1_subset_1(sK470(X0),u1_struct_0(X0))
| v11_lattices(X0) ),
inference(cnf_transformation,[],[f10039]) ).
fof(f13263,plain,
! [X0] :
( ~ l3_lattices(X0)
| v3_struct_0(X0)
| m1_subset_1(sK471(X0),u1_struct_0(X0))
| v11_lattices(X0) ),
inference(cnf_transformation,[],[f10039]) ).
fof(f13264,plain,
! [X0] :
( ~ l3_lattices(X0)
| v3_struct_0(X0)
| m1_subset_1(sK472(X0),u1_struct_0(X0))
| v11_lattices(X0) ),
inference(cnf_transformation,[],[f10039]) ).
fof(f13265,plain,
! [X0] :
( ~ l3_lattices(X0)
| v3_struct_0(X0)
| k2_lattices(X0,sK470(X0),k1_lattices(X0,sK471(X0),sK472(X0))) != k1_lattices(X0,k2_lattices(X0,sK470(X0),sK471(X0)),k2_lattices(X0,sK470(X0),sK472(X0)))
| v11_lattices(X0) ),
inference(cnf_transformation,[],[f10039]) ).
fof(f13266,plain,
! [X3,X0,X4] :
( ~ l3_lattices(X0)
| v3_struct_0(X0)
| ~ v9_lattices(X0)
| ~ m1_subset_1(X3,u1_struct_0(X0))
| ~ m1_subset_1(X4,u1_struct_0(X0))
| k2_lattices(X0,X3,k1_lattices(X0,X3,X4)) = X3 ),
inference(cnf_transformation,[],[f10042]) ).
fof(f13267,plain,
! [X0] :
( ~ l3_lattices(X0)
| v3_struct_0(X0)
| m1_subset_1(sK473(X0),u1_struct_0(X0))
| v9_lattices(X0) ),
inference(cnf_transformation,[],[f10042]) ).
fof(f13268,plain,
! [X0] :
( ~ l3_lattices(X0)
| v3_struct_0(X0)
| m1_subset_1(sK474(X0),u1_struct_0(X0))
| v9_lattices(X0) ),
inference(cnf_transformation,[],[f10042]) ).
fof(f13269,plain,
! [X0] :
( ~ l3_lattices(X0)
| v3_struct_0(X0)
| sK473(X0) != k2_lattices(X0,sK473(X0),k1_lattices(X0,sK473(X0),sK474(X0)))
| v9_lattices(X0) ),
inference(cnf_transformation,[],[f10042]) ).
fof(f13270,plain,
! [X3,X0,X4] :
( ~ l3_lattices(X0)
| v3_struct_0(X0)
| ~ v8_lattices(X0)
| ~ m1_subset_1(X3,u1_struct_0(X0))
| ~ m1_subset_1(X4,u1_struct_0(X0))
| k1_lattices(X0,k2_lattices(X0,X3,X4),X4) = X4 ),
inference(cnf_transformation,[],[f10045]) ).
fof(f13271,plain,
! [X0] :
( ~ l3_lattices(X0)
| v3_struct_0(X0)
| m1_subset_1(sK475(X0),u1_struct_0(X0))
| v8_lattices(X0) ),
inference(cnf_transformation,[],[f10045]) ).
fof(f13272,plain,
! [X0] :
( ~ l3_lattices(X0)
| v3_struct_0(X0)
| m1_subset_1(sK476(X0),u1_struct_0(X0))
| v8_lattices(X0) ),
inference(cnf_transformation,[],[f10045]) ).
fof(f13273,plain,
! [X0] :
( ~ l3_lattices(X0)
| v3_struct_0(X0)
| sK476(X0) != k1_lattices(X0,k2_lattices(X0,sK475(X0),sK476(X0)),sK476(X0))
| v8_lattices(X0) ),
inference(cnf_transformation,[],[f10045]) ).
fof(f13274,plain,
! [X2,X3,X0,X1,X4] :
( v1_xboole_0(X1)
| ~ m2_relset_1(X2,X0,X1)
| ~ v1_funct_2(X2,X0,X1)
| ~ v1_funct_1(X2)
| ~ m2_relset_1(X3,X0,X1)
| ~ v1_funct_2(X3,X0,X1)
| ~ v1_funct_1(X3)
| ~ m1_subset_1(X4,k5_finsub_1(X0))
| k2_partfun1(X0,X1,X3,X4) != k2_partfun1(X0,X1,X2,X4)
| k2_funct_2(X0,X1,X2,X4) = k2_funct_2(X0,X1,X3,X4) ),
inference(cnf_transformation,[],[f8637]) ).
fof(f13275,plain,
! [X2,X3,X0,X1,X4] :
( v1_xboole_0(X1)
| ~ m2_relset_1(X2,X0,X1)
| ~ v1_funct_2(X2,X0,X1)
| ~ v1_funct_1(X2)
| ~ m2_relset_1(X3,X0,X1)
| ~ v1_funct_2(X3,X0,X1)
| ~ v1_funct_1(X3)
| ~ m1_subset_1(X4,k5_finsub_1(X0))
| m1_subset_1(sK477(X0,X2,X3,X4),X0)
| k1_funct_4(X3,k2_partfun1(X0,X1,X2,X4)) = X3 ),
inference(cnf_transformation,[],[f10046]) ).
fof(f13276,plain,
! [X2,X3,X0,X1,X4] :
( v1_xboole_0(X1)
| ~ m2_relset_1(X2,X0,X1)
| ~ v1_funct_2(X2,X0,X1)
| ~ v1_funct_1(X2)
| ~ m2_relset_1(X3,X0,X1)
| ~ v1_funct_2(X3,X0,X1)
| ~ v1_funct_1(X3)
| ~ m1_subset_1(X4,k5_finsub_1(X0))
| r2_hidden(sK477(X0,X2,X3,X4),X4)
| k1_funct_4(X3,k2_partfun1(X0,X1,X2,X4)) = X3 ),
inference(cnf_transformation,[],[f10046]) ).
fof(f13277,plain,
! [X2,X3,X0,X1,X4] :
( v1_xboole_0(X1)
| ~ m2_relset_1(X2,X0,X1)
| ~ v1_funct_2(X2,X0,X1)
| ~ v1_funct_1(X2)
| ~ m2_relset_1(X3,X0,X1)
| ~ v1_funct_2(X3,X0,X1)
| ~ v1_funct_1(X3)
| ~ m1_subset_1(X4,k5_finsub_1(X0))
| k1_funct_1(X2,sK477(X0,X2,X3,X4)) != k1_funct_1(X3,sK477(X0,X2,X3,X4))
| k1_funct_4(X3,k2_partfun1(X0,X1,X2,X4)) = X3 ),
inference(cnf_transformation,[],[f10046]) ).
fof(f13278,plain,
! [X2,X3,X0,X1] :
( v1_xboole_0(X1)
| ~ m2_relset_1(X2,X0,X1)
| ~ v1_funct_2(X2,X0,X1)
| ~ v1_funct_1(X2)
| ~ m1_subset_1(X3,k5_finsub_1(X0))
| k1_relat_1(k2_partfun1(X0,X1,X2,X3)) = X3 ),
inference(cnf_transformation,[],[f8641]) ).
fof(f13279,plain,
! [X2,X3,X0,X1,X4] :
( v1_xboole_0(X1)
| ~ m2_relset_1(X2,X0,X1)
| ~ v1_funct_2(X2,X0,X1)
| ~ v1_funct_1(X2)
| ~ m2_relset_1(X3,X0,X1)
| ~ v1_funct_2(X3,X0,X1)
| ~ v1_funct_1(X3)
| ~ m1_subset_1(X4,k5_finsub_1(X0))
| k1_funct_4(k2_partfun1(X0,X1,X2,X4),X3) = X3 ),
inference(cnf_transformation,[],[f8643]) ).
fof(f13280,plain,
! [X2,X3,X0,X1,X4] :
( v1_xboole_0(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ m2_relset_1(X3,X0,X1)
| ~ v1_funct_2(X3,X0,X1)
| ~ v1_funct_1(X3)
| ~ m2_relset_1(X4,X0,X1)
| ~ v1_funct_2(X4,X0,X1)
| ~ v1_funct_1(X4)
| m1_subset_1(sK478(X0,X2,X3,X4),X0)
| k1_funct_4(X4,k2_partfun1(X0,X1,X3,X2)) = X4 ),
inference(cnf_transformation,[],[f10047]) ).
fof(f13281,plain,
! [X2,X3,X0,X1,X4] :
( v1_xboole_0(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ m2_relset_1(X3,X0,X1)
| ~ v1_funct_2(X3,X0,X1)
| ~ v1_funct_1(X3)
| ~ m2_relset_1(X4,X0,X1)
| ~ v1_funct_2(X4,X0,X1)
| ~ v1_funct_1(X4)
| r2_hidden(sK478(X0,X2,X3,X4),X2)
| k1_funct_4(X4,k2_partfun1(X0,X1,X3,X2)) = X4 ),
inference(cnf_transformation,[],[f10047]) ).
fof(f13282,plain,
! [X2,X3,X0,X1,X4] :
( v1_xboole_0(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ m2_relset_1(X3,X0,X1)
| ~ v1_funct_2(X3,X0,X1)
| ~ v1_funct_1(X3)
| ~ m2_relset_1(X4,X0,X1)
| ~ v1_funct_2(X4,X0,X1)
| ~ v1_funct_1(X4)
| k1_funct_1(X3,sK478(X0,X2,X3,X4)) != k1_funct_1(X4,sK478(X0,X2,X3,X4))
| k1_funct_4(X4,k2_partfun1(X0,X1,X3,X2)) = X4 ),
inference(cnf_transformation,[],[f10047]) ).
fof(f13283,plain,
! [X2,X3,X0,X1] :
( v1_xboole_0(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ m2_relset_1(X3,X0,X1)
| ~ v1_funct_2(X3,X0,X1)
| ~ v1_funct_1(X3)
| k1_funct_4(X3,k2_partfun1(X0,X1,X3,X2)) = X3 ),
inference(cnf_transformation,[],[f8647]) ).
fof(f13284,plain,
! [X2,X3,X0,X1,X4] :
( v1_xboole_0(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ m2_relset_1(X3,X0,X1)
| ~ v1_funct_2(X3,X0,X1)
| ~ v1_funct_1(X3)
| ~ m2_relset_1(X4,X0,X1)
| ~ v1_funct_2(X4,X0,X1)
| ~ v1_funct_1(X4)
| k1_funct_4(k2_partfun1(X0,X1,X3,X2),X4) = X4 ),
inference(cnf_transformation,[],[f8649]) ).
fof(f13285,plain,
! [X2,X3,X0,X1,X4] :
( v1_xboole_0(X1)
| ~ m2_relset_1(X2,X0,X1)
| ~ v1_funct_2(X2,X0,X1)
| ~ v1_funct_1(X2)
| ~ m2_relset_1(X3,X0,X1)
| ~ v1_funct_2(X3,X0,X1)
| ~ v1_funct_1(X3)
| m2_relset_1(k1_funct_4(X2,k2_partfun1(X0,X1,X3,X4)),X0,X1) ),
inference(cnf_transformation,[],[f8651]) ).
fof(f13286,plain,
! [X2,X3,X0,X1,X4] :
( v1_xboole_0(X1)
| ~ m2_relset_1(X2,X0,X1)
| ~ v1_funct_2(X2,X0,X1)
| ~ v1_funct_1(X2)
| ~ m2_relset_1(X3,X0,X1)
| ~ v1_funct_2(X3,X0,X1)
| ~ v1_funct_1(X3)
| v1_funct_2(k1_funct_4(X2,k2_partfun1(X0,X1,X3,X4)),X0,X1) ),
inference(cnf_transformation,[],[f8651]) ).
fof(f13287,plain,
! [X2,X3,X0,X1,X4] :
( v1_xboole_0(X1)
| ~ m2_relset_1(X2,X0,X1)
| ~ v1_funct_2(X2,X0,X1)
| ~ v1_funct_1(X2)
| ~ m2_relset_1(X3,X0,X1)
| ~ v1_funct_2(X3,X0,X1)
| ~ v1_funct_1(X3)
| v1_funct_1(k1_funct_4(X2,k2_partfun1(X0,X1,X3,X4))) ),
inference(cnf_transformation,[],[f8651]) ).
fof(f13288,plain,
! [X2,X3,X0,X1,X6,X4] :
( v1_xboole_0(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ m2_relset_1(X3,X0,X1)
| ~ v1_funct_2(X3,X0,X1)
| ~ v1_funct_1(X3)
| ~ m2_relset_1(X4,X0,X1)
| ~ v1_funct_2(X4,X0,X1)
| ~ v1_funct_1(X4)
| k2_partfun1(X0,X1,X3,X2) != k2_partfun1(X0,X1,X4,X2)
| ~ m1_subset_1(X6,X0)
| ~ r2_hidden(X6,X2)
| k1_funct_1(X3,X6) = k1_funct_1(X4,X6) ),
inference(cnf_transformation,[],[f10050]) ).
fof(f13289,plain,
! [X2,X3,X0,X1,X4] :
( v1_xboole_0(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ m2_relset_1(X3,X0,X1)
| ~ v1_funct_2(X3,X0,X1)
| ~ v1_funct_1(X3)
| ~ m2_relset_1(X4,X0,X1)
| ~ v1_funct_2(X4,X0,X1)
| ~ v1_funct_1(X4)
| m1_subset_1(sK479(X0,X2,X3,X4),X0)
| k2_partfun1(X0,X1,X3,X2) = k2_partfun1(X0,X1,X4,X2) ),
inference(cnf_transformation,[],[f10050]) ).
fof(f13290,plain,
! [X2,X3,X0,X1,X4] :
( v1_xboole_0(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ m2_relset_1(X3,X0,X1)
| ~ v1_funct_2(X3,X0,X1)
| ~ v1_funct_1(X3)
| ~ m2_relset_1(X4,X0,X1)
| ~ v1_funct_2(X4,X0,X1)
| ~ v1_funct_1(X4)
| r2_hidden(sK479(X0,X2,X3,X4),X2)
| k2_partfun1(X0,X1,X3,X2) = k2_partfun1(X0,X1,X4,X2) ),
inference(cnf_transformation,[],[f10050]) ).
fof(f13291,plain,
! [X2,X3,X0,X1,X4] :
( v1_xboole_0(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ m2_relset_1(X3,X0,X1)
| ~ v1_funct_2(X3,X0,X1)
| ~ v1_funct_1(X3)
| ~ m2_relset_1(X4,X0,X1)
| ~ v1_funct_2(X4,X0,X1)
| ~ v1_funct_1(X4)
| k1_funct_1(X3,sK479(X0,X2,X3,X4)) != k1_funct_1(X4,sK479(X0,X2,X3,X4))
| k2_partfun1(X0,X1,X3,X2) = k2_partfun1(X0,X1,X4,X2) ),
inference(cnf_transformation,[],[f10050]) ).
fof(f13292,plain,
! [X2,X3,X0,X1] :
( v1_xboole_0(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ m2_relset_1(X3,X0,X1)
| ~ v1_funct_2(X3,X0,X1)
| ~ v1_funct_1(X3)
| k1_relat_1(k2_partfun1(X0,X1,X3,X2)) = X2 ),
inference(cnf_transformation,[],[f8655]) ).
fof(f13293,plain,
! [X2,X3,X0,X1,X4] :
( v1_xboole_0(X3)
| ~ m2_relset_1(X4,X0,X3)
| ~ v1_funct_2(X4,X0,X3)
| ~ v1_funct_1(X4)
| ~ r1_tarski(k2_funct_2(X0,X3,X4,X1),X2)
| ~ r1_tarski(X1,X0)
| m2_relset_1(k2_partfun1(X0,X3,X4,X1),X1,X2) ),
inference(cnf_transformation,[],[f8657]) ).
fof(f13294,plain,
! [X2,X3,X0,X1,X4] :
( v1_xboole_0(X3)
| ~ m2_relset_1(X4,X0,X3)
| ~ v1_funct_2(X4,X0,X3)
| ~ v1_funct_1(X4)
| ~ r1_tarski(k2_funct_2(X0,X3,X4,X1),X2)
| ~ r1_tarski(X1,X0)
| v1_funct_2(k2_partfun1(X0,X3,X4,X1),X1,X2) ),
inference(cnf_transformation,[],[f8657]) ).
fof(f13295,plain,
! [X2,X3,X0,X1,X4] :
( v1_xboole_0(X3)
| ~ m2_relset_1(X4,X0,X3)
| ~ v1_funct_2(X4,X0,X3)
| ~ v1_funct_1(X4)
| ~ r1_tarski(k2_funct_2(X0,X3,X4,X1),X2)
| ~ r1_tarski(X1,X0)
| v1_funct_1(k2_partfun1(X0,X3,X4,X1)) ),
inference(cnf_transformation,[],[f8657]) ).
fof(f13296,plain,
! [X2,X3,X0,X1] :
( ~ m2_relset_1(X3,X0,X1)
| ~ v1_funct_2(X3,X0,X1)
| ~ v1_funct_1(X3)
| ~ r1_tarski(X0,X2)
| k2_partfun1(X0,X1,X3,X2) = X3 ),
inference(cnf_transformation,[],[f8659]) ).
fof(f13297,plain,
! [X2,X3,X0,X1] :
( ~ m2_relset_1(X3,X0,X1)
| ~ v1_funct_2(X3,X0,X1)
| ~ v1_funct_1(X3)
| ~ r1_tarski(X2,X0)
| m2_relset_1(k2_partfun1(X0,X1,X3,X2),X2,X1)
| k1_xboole_0 != X0 ),
inference(cnf_transformation,[],[f8661]) ).
fof(f13298,plain,
! [X2,X3,X0,X1] :
( ~ m2_relset_1(X3,X0,X1)
| ~ v1_funct_2(X3,X0,X1)
| ~ v1_funct_1(X3)
| ~ r1_tarski(X2,X0)
| v1_funct_2(k2_partfun1(X0,X1,X3,X2),X2,X1)
| k1_xboole_0 != X0 ),
inference(cnf_transformation,[],[f8661]) ).
fof(f13299,plain,
! [X2,X3,X0,X1] :
( ~ m2_relset_1(X3,X0,X1)
| ~ v1_funct_2(X3,X0,X1)
| ~ v1_funct_1(X3)
| ~ r1_tarski(X2,X0)
| v1_funct_1(k2_partfun1(X0,X1,X3,X2))
| k1_xboole_0 != X0 ),
inference(cnf_transformation,[],[f8661]) ).
fof(f13300,plain,
! [X2,X3,X0,X1] :
( ~ m2_relset_1(X3,X0,X1)
| ~ v1_funct_2(X3,X0,X1)
| ~ v1_funct_1(X3)
| ~ r1_tarski(X2,X0)
| m2_relset_1(k2_partfun1(X0,X1,X3,X2),X2,X1)
| k1_xboole_0 = X1 ),
inference(cnf_transformation,[],[f8661]) ).
fof(f13301,plain,
! [X2,X3,X0,X1] :
( ~ m2_relset_1(X3,X0,X1)
| ~ v1_funct_2(X3,X0,X1)
| ~ v1_funct_1(X3)
| ~ r1_tarski(X2,X0)
| v1_funct_2(k2_partfun1(X0,X1,X3,X2),X2,X1)
| k1_xboole_0 = X1 ),
inference(cnf_transformation,[],[f8661]) ).
fof(f13303,plain,
! [X2,X3,X0,X1] :
( ~ m1_relset_1(X2,X0,X1)
| ~ v1_funct_1(X2)
| k7_relat_1(X2,X3) = k2_partfun1(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f8663]) ).
fof(f13304,plain,
! [X2,X3,X0,X1] :
( ~ m1_relset_1(X2,X0,X1)
| ~ v1_funct_1(X2)
| m2_relset_1(k2_partfun1(X0,X1,X2,X3),X0,X1) ),
inference(cnf_transformation,[],[f8665]) ).
fof(f13305,plain,
! [X2,X3,X0,X1] :
( ~ m1_relset_1(X2,X0,X1)
| ~ v1_funct_1(X2)
| v1_funct_1(k2_partfun1(X0,X1,X2,X3)) ),
inference(cnf_transformation,[],[f8665]) ).
fof(f13306,plain,
! [X2,X3,X0,X1] :
( ~ v1_funct_1(X3)
| ~ v1_relat_1(X3)
| k2_partfun1(X0,X1,k3_partfun1(X3,X0,X1),X2) = k3_partfun1(X3,k3_xboole_0(X0,X2),X1) ),
inference(cnf_transformation,[],[f8667]) ).
fof(f13307,plain,
l3_vectsp_1(sK480),
inference(cnf_transformation,[],[f10051]) ).
fof(f13308,plain,
! [X2,X3,X0,X1,X4] :
( ~ m1_subset_1(X4,k4_xboole_0(X0,k5_realset1(X0,X3)))
| ~ m1_subset_1(X3,X0)
| ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| v1_realset1(X0)
| l3_vectsp_1(k1_realset2(X0,X1,X2,X3,X4)) ),
inference(cnf_transformation,[],[f8669]) ).
fof(f13309,plain,
! [X2,X3,X0,X1,X4] :
( ~ m1_subset_1(X4,k4_xboole_0(X0,k5_realset1(X0,X3)))
| ~ m1_subset_1(X3,X0)
| ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| v1_realset1(X0)
| ~ v3_realset2(k1_realset2(X0,X1,X2,X3,X4)) ),
inference(cnf_transformation,[],[f8669]) ).
fof(f13310,plain,
! [X2,X3,X0,X1,X4] :
( ~ m1_subset_1(X4,k4_xboole_0(X0,k5_realset1(X0,X3)))
| ~ m1_subset_1(X3,X0)
| ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| v1_realset1(X0)
| v3_vectsp_1(k1_realset2(X0,X1,X2,X3,X4)) ),
inference(cnf_transformation,[],[f8669]) ).
fof(f13311,plain,
! [X2,X3,X0,X1,X4,X5] :
( v1_realset1(X0)
| ~ m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ m1_subset_1(X3,X0)
| ~ m1_subset_1(X4,k4_xboole_0(X0,k5_realset1(X0,X3)))
| ~ l3_vectsp_1(X5)
| v3_realset2(X5)
| ~ v3_vectsp_1(X5)
| k1_realset2(X0,X1,X2,X3,X4) != X5
| u1_vectsp_1(X5) = X4 ),
inference(cnf_transformation,[],[f10053]) ).
fof(f13312,plain,
! [X2,X3,X0,X1,X4,X5] :
( v1_realset1(X0)
| ~ m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ m1_subset_1(X3,X0)
| ~ m1_subset_1(X4,k4_xboole_0(X0,k5_realset1(X0,X3)))
| ~ l3_vectsp_1(X5)
| v3_realset2(X5)
| ~ v3_vectsp_1(X5)
| k1_realset2(X0,X1,X2,X3,X4) != X5
| u2_struct_0(X5) = X3 ),
inference(cnf_transformation,[],[f10053]) ).
fof(f13313,plain,
! [X2,X3,X0,X1,X4,X5] :
( v1_realset1(X0)
| ~ m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ m1_subset_1(X3,X0)
| ~ m1_subset_1(X4,k4_xboole_0(X0,k5_realset1(X0,X3)))
| ~ l3_vectsp_1(X5)
| v3_realset2(X5)
| ~ v3_vectsp_1(X5)
| k1_realset2(X0,X1,X2,X3,X4) != X5
| u1_group_1(X5) = X2 ),
inference(cnf_transformation,[],[f10053]) ).
fof(f13314,plain,
! [X2,X3,X0,X1,X4,X5] :
( v1_realset1(X0)
| ~ m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ m1_subset_1(X3,X0)
| ~ m1_subset_1(X4,k4_xboole_0(X0,k5_realset1(X0,X3)))
| ~ l3_vectsp_1(X5)
| v3_realset2(X5)
| ~ v3_vectsp_1(X5)
| k1_realset2(X0,X1,X2,X3,X4) != X5
| u1_rlvect_1(X5) = X1 ),
inference(cnf_transformation,[],[f10053]) ).
fof(f13315,plain,
! [X2,X3,X0,X1,X4,X5] :
( v1_realset1(X0)
| ~ m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ m1_subset_1(X3,X0)
| ~ m1_subset_1(X4,k4_xboole_0(X0,k5_realset1(X0,X3)))
| ~ l3_vectsp_1(X5)
| v3_realset2(X5)
| ~ v3_vectsp_1(X5)
| k1_realset2(X0,X1,X2,X3,X4) != X5
| u1_struct_0(X5) = X0 ),
inference(cnf_transformation,[],[f10053]) ).
fof(f13316,plain,
! [X2,X3,X0,X1,X4,X5] :
( v1_realset1(X0)
| ~ m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ m1_subset_1(X3,X0)
| ~ m1_subset_1(X4,k4_xboole_0(X0,k5_realset1(X0,X3)))
| ~ l3_vectsp_1(X5)
| v3_realset2(X5)
| ~ v3_vectsp_1(X5)
| u1_vectsp_1(X5) != X4
| u2_struct_0(X5) != X3
| u1_group_1(X5) != X2
| u1_rlvect_1(X5) != X1
| u1_struct_0(X5) != X0
| k1_realset2(X0,X1,X2,X3,X4) = X5 ),
inference(cnf_transformation,[],[f10053]) ).
fof(f13317,plain,
! [X2,X0,X1] :
( ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| ~ r1_tarski(X0,k10_relat_1(X2,X1))
| r1_tarski(k9_relat_1(X2,X0),X1) ),
inference(cnf_transformation,[],[f8673]) ).
fof(f13318,plain,
! [X0,X1] :
( ~ v1_finset_1(X0)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| v1_finset_1(k10_relat_1(X0,X1)) ),
inference(cnf_transformation,[],[f8675]) ).
fof(f13319,plain,
! [X2,X0,X1] :
( ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| k9_relat_1(X2,k4_xboole_0(X1,k10_relat_1(X2,X0))) = k4_xboole_0(k9_relat_1(X2,X1),X0) ),
inference(cnf_transformation,[],[f8677]) ).
fof(f13320,plain,
! [X0,X1] :
( ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ~ v1_finset_1(k10_relat_1(X1,X0))
| ~ r1_tarski(X0,k2_relat_1(X1))
| v1_finset_1(X0) ),
inference(cnf_transformation,[],[f8679]) ).
fof(f13321,plain,
! [X2,X3,X0,X1] :
( ~ m2_relset_1(X3,X0,X1)
| ~ v1_funct_1(X3)
| r1_tarski(k10_relat_1(X3,X2),X0) ),
inference(cnf_transformation,[],[f8681]) ).
fof(f13322,plain,
! [X2,X3,X0,X1,X4] :
( ~ m2_relset_1(X3,X0,X1)
| ~ v1_funct_2(X3,X0,X1)
| ~ v1_funct_1(X3)
| k1_xboole_0 = X1
| ~ r2_hidden(X4,k10_relat_1(X3,X2))
| r2_hidden(k1_funct_1(X3,X4),X2) ),
inference(cnf_transformation,[],[f10055]) ).
fof(f13323,plain,
! [X2,X3,X0,X1,X4] :
( ~ m2_relset_1(X3,X0,X1)
| ~ v1_funct_2(X3,X0,X1)
| ~ v1_funct_1(X3)
| k1_xboole_0 = X1
| ~ r2_hidden(X4,k10_relat_1(X3,X2))
| r2_hidden(X4,X0) ),
inference(cnf_transformation,[],[f10055]) ).
fof(f13324,plain,
! [X2,X3,X0,X1,X4] :
( ~ m2_relset_1(X3,X0,X1)
| ~ v1_funct_2(X3,X0,X1)
| ~ v1_funct_1(X3)
| k1_xboole_0 = X1
| ~ r2_hidden(k1_funct_1(X3,X4),X2)
| ~ r2_hidden(X4,X0)
| r2_hidden(X4,k10_relat_1(X3,X2)) ),
inference(cnf_transformation,[],[f10055]) ).
fof(f13325,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X2,X0,k1_xboole_0)
| ~ v1_funct_1(X2)
| k1_xboole_0 = k10_relat_1(X2,X1) ),
inference(cnf_transformation,[],[f8685]) ).
fof(f13326,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X2,k1_xboole_0,X0)
| ~ v1_funct_1(X2)
| k1_xboole_0 = k10_relat_1(X2,X1) ),
inference(cnf_transformation,[],[f8687]) ).
fof(f13327,plain,
! [X2,X0,X1] :
( ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| ~ r1_tarski(X1,k2_relat_1(X2))
| ~ r1_tarski(X0,k2_relat_1(X2))
| k10_relat_1(X2,X1) != k10_relat_1(X2,X0)
| X0 = X1 ),
inference(cnf_transformation,[],[f8689]) ).
fof(f13328,plain,
! [X2,X0,X1] :
( ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| ~ r1_tarski(X0,k2_relat_1(X2))
| ~ r1_tarski(k10_relat_1(X2,X0),k10_relat_1(X2,X1))
| r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f8691]) ).
fof(f13329,plain,
! [X2,X0,X1] :
( ~ v1_relat_1(X2)
| r1_tarski(k3_xboole_0(X0,k10_relat_1(X2,X1)),k10_relat_1(X2,k3_xboole_0(k9_relat_1(X2,X0),X1))) ),
inference(cnf_transformation,[],[f8692]) ).
fof(f13330,plain,
! [X2,X0,X1] :
( ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| k9_relat_1(X2,k3_xboole_0(X0,k10_relat_1(X2,X1))) = k3_xboole_0(k9_relat_1(X2,X0),X1) ),
inference(cnf_transformation,[],[f8694]) ).
fof(f13331,plain,
! [X2,X0,X1] :
( ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| r1_tarski(k9_relat_1(X2,k3_xboole_0(X0,k10_relat_1(X2,X1))),k3_xboole_0(k9_relat_1(X2,X0),X1)) ),
inference(cnf_transformation,[],[f8696]) ).
fof(f13332,plain,
! [X0,X1] :
( ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| k9_relat_1(X1,k10_relat_1(X1,X0)) = k3_xboole_0(X0,k9_relat_1(X1,k1_relat_1(X1))) ),
inference(cnf_transformation,[],[f8698]) ).
fof(f13333,plain,
! [X0,X1] :
( ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ~ r1_tarski(X0,k2_relat_1(X1))
| k9_relat_1(X1,k10_relat_1(X1,X0)) = X0 ),
inference(cnf_transformation,[],[f8700]) ).
fof(f13334,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| ~ r1_tarski(X0,k1_relat_1(X1))
| r1_tarski(X0,k10_relat_1(X1,k9_relat_1(X1,X0))) ),
inference(cnf_transformation,[],[f8702]) ).
fof(f13335,plain,
! [X0,X1] :
( ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| r1_tarski(k9_relat_1(X1,k10_relat_1(X1,X0)),X0) ),
inference(cnf_transformation,[],[f8704]) ).
fof(f13336,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| k1_xboole_0 = k10_relat_1(X1,k1_tarski(sK481(X0,X1)))
| r1_tarski(X0,k2_relat_1(X1)) ),
inference(cnf_transformation,[],[f10056]) ).
fof(f13337,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| r2_hidden(sK481(X0,X1),X0)
| r1_tarski(X0,k2_relat_1(X1)) ),
inference(cnf_transformation,[],[f10056]) ).
fof(f13338,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| ~ r2_hidden(X0,k2_relat_1(X1))
| k1_xboole_0 != k10_relat_1(X1,k1_tarski(X0)) ),
inference(cnf_transformation,[],[f10057]) ).
fof(f13339,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| k1_xboole_0 = k10_relat_1(X1,k1_tarski(X0))
| r2_hidden(X0,k2_relat_1(X1)) ),
inference(cnf_transformation,[],[f10057]) ).
fof(f13340,plain,
! [X2,X0,X1] :
( ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| k4_xboole_0(k10_relat_1(X2,X0),k10_relat_1(X2,X1)) = k10_relat_1(X2,k4_xboole_0(X0,X1)) ),
inference(cnf_transformation,[],[f8709]) ).
fof(f13341,plain,
! [X2,X0,X1] :
( ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| k10_relat_1(X2,k3_xboole_0(X0,X1)) = k3_xboole_0(k10_relat_1(X2,X0),k10_relat_1(X2,X1)) ),
inference(cnf_transformation,[],[f8711]) ).
fof(f13342,plain,
! [X2,X0,X1,X4] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| k10_relat_1(X0,X1) != X2
| ~ r2_hidden(X4,X2)
| r2_hidden(k1_funct_1(X0,X4),X1) ),
inference(cnf_transformation,[],[f10061]) ).
fof(f13343,plain,
! [X2,X0,X1,X4] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| k10_relat_1(X0,X1) != X2
| ~ r2_hidden(X4,X2)
| r2_hidden(X4,k1_relat_1(X0)) ),
inference(cnf_transformation,[],[f10061]) ).
fof(f13344,plain,
! [X2,X0,X1,X4] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| k10_relat_1(X0,X1) != X2
| ~ r2_hidden(k1_funct_1(X0,X4),X1)
| ~ r2_hidden(X4,k1_relat_1(X0))
| r2_hidden(X4,X2) ),
inference(cnf_transformation,[],[f10061]) ).
fof(f13345,plain,
! [X2,X0,X1] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| r2_hidden(sK482(X0,X1,X2),X2)
| r2_hidden(k1_funct_1(X0,sK482(X0,X1,X2)),X1)
| k10_relat_1(X0,X1) = X2 ),
inference(cnf_transformation,[],[f10061]) ).
fof(f13346,plain,
! [X2,X0,X1] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| r2_hidden(sK482(X0,X1,X2),X2)
| r2_hidden(sK482(X0,X1,X2),k1_relat_1(X0))
| k10_relat_1(X0,X1) = X2 ),
inference(cnf_transformation,[],[f10061]) ).
fof(f13347,plain,
! [X2,X0,X1] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ~ r2_hidden(sK482(X0,X1,X2),X2)
| ~ r2_hidden(k1_funct_1(X0,sK482(X0,X1,X2)),X1)
| ~ r2_hidden(sK482(X0,X1,X2),k1_relat_1(X0))
| k10_relat_1(X0,X1) = X2 ),
inference(cnf_transformation,[],[f10061]) ).
fof(f13348,plain,
! [X2,X3,X0,X1] :
( ~ v1_relat_1(X2)
| ~ v1_relat_1(X3)
| ~ r1_tarski(X0,X1)
| ~ r1_tarski(X2,X3)
| r1_tarski(k10_relat_1(X2,X0),k10_relat_1(X3,X1)) ),
inference(cnf_transformation,[],[f8715]) ).
fof(f13349,plain,
! [X2,X0,X1] :
( ~ v1_relat_1(X1)
| ~ v1_relat_1(X2)
| ~ r1_tarski(X1,X2)
| r1_tarski(k10_relat_1(X1,X0),k10_relat_1(X2,X0)) ),
inference(cnf_transformation,[],[f8717]) ).
fof(f13350,plain,
! [X2,X0,X1] :
( ~ v1_relat_1(X2)
| ~ r1_tarski(X0,X1)
| r1_tarski(k10_relat_1(X2,X0),k10_relat_1(X2,X1)) ),
inference(cnf_transformation,[],[f8719]) ).
fof(f13351,plain,
! [X2,X0,X1] :
( ~ v1_relat_1(X2)
| r1_tarski(k4_xboole_0(k10_relat_1(X2,X0),k10_relat_1(X2,X1)),k10_relat_1(X2,k4_xboole_0(X0,X1))) ),
inference(cnf_transformation,[],[f8720]) ).
fof(f13352,plain,
! [X2,X0,X1] :
( ~ v1_relat_1(X2)
| r1_tarski(k10_relat_1(X2,k3_xboole_0(X0,X1)),k3_xboole_0(k10_relat_1(X2,X0),k10_relat_1(X2,X1))) ),
inference(cnf_transformation,[],[f8721]) ).
fof(f13353,plain,
! [X2,X0,X1] :
( ~ v1_relat_1(X2)
| k10_relat_1(X2,k2_xboole_0(X0,X1)) = k2_xboole_0(k10_relat_1(X2,X0),k10_relat_1(X2,X1)) ),
inference(cnf_transformation,[],[f8722]) ).
fof(f13354,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| k1_xboole_0 != k10_relat_1(X1,X0)
| ~ r1_tarski(X0,k2_relat_1(X1))
| k1_xboole_0 = X0 ),
inference(cnf_transformation,[],[f8724]) ).
fof(f13355,plain,
! [X0] : k1_xboole_0 = k10_relat_1(k1_xboole_0,X0),
inference(cnf_transformation,[],[f882]) ).
fof(f13356,plain,
! [X0] :
( ~ v1_relat_1(X0)
| k1_xboole_0 = k10_relat_1(X0,k1_xboole_0) ),
inference(cnf_transformation,[],[f8725]) ).
fof(f13357,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| r1_tarski(k10_relat_1(X1,X0),k10_relat_1(X1,k2_relat_1(X1))) ),
inference(cnf_transformation,[],[f8726]) ).
fof(f13358,plain,
! [X0] :
( ~ v1_relat_1(X0)
| k1_relat_1(X0) = k10_relat_1(X0,k2_relat_1(X0)) ),
inference(cnf_transformation,[],[f8727]) ).
fof(f13359,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| k10_relat_1(X1,X0) = k10_relat_1(X1,k3_xboole_0(k2_relat_1(X1),X0)) ),
inference(cnf_transformation,[],[f8728]) ).
fof(f13360,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| r1_tarski(k10_relat_1(X1,X0),k1_relat_1(X1)) ),
inference(cnf_transformation,[],[f8729]) ).
fof(f13361,plain,
! [X2,X0,X1] :
( ~ v1_relat_1(X2)
| ~ r2_hidden(X0,k10_relat_1(X2,X1))
| r2_hidden(sK483(X0,X1,X2),X1) ),
inference(cnf_transformation,[],[f10064]) ).
fof(f13362,plain,
! [X2,X0,X1] :
( ~ v1_relat_1(X2)
| ~ r2_hidden(X0,k10_relat_1(X2,X1))
| r2_hidden(k4_tarski(X0,sK483(X0,X1,X2)),X2) ),
inference(cnf_transformation,[],[f10064]) ).
fof(f13363,plain,
! [X2,X0,X1] :
( ~ v1_relat_1(X2)
| ~ r2_hidden(X0,k10_relat_1(X2,X1))
| r2_hidden(sK483(X0,X1,X2),k2_relat_1(X2)) ),
inference(cnf_transformation,[],[f10064]) ).
fof(f13364,plain,
! [X2,X3,X0,X1] :
( ~ v1_relat_1(X2)
| ~ r2_hidden(X3,X1)
| ~ r2_hidden(k4_tarski(X0,X3),X2)
| ~ r2_hidden(X3,k2_relat_1(X2))
| r2_hidden(X0,k10_relat_1(X2,X1)) ),
inference(cnf_transformation,[],[f10064]) ).
fof(f13365,plain,
! [X2,X0,X1,X6] :
( ~ v1_relat_1(X0)
| k10_relat_1(X0,X1) != X2
| ~ r2_hidden(X6,X2)
| r2_hidden(sK486(X0,X1,X6),X1) ),
inference(cnf_transformation,[],[f10067]) ).
fof(f13366,plain,
! [X2,X0,X1,X6] :
( ~ v1_relat_1(X0)
| k10_relat_1(X0,X1) != X2
| ~ r2_hidden(X6,X2)
| r2_hidden(k4_tarski(X6,sK486(X0,X1,X6)),X0) ),
inference(cnf_transformation,[],[f10067]) ).
fof(f13367,plain,
! [X2,X0,X1,X6,X7] :
( ~ v1_relat_1(X0)
| k10_relat_1(X0,X1) != X2
| ~ r2_hidden(X7,X1)
| ~ r2_hidden(k4_tarski(X6,X7),X0)
| r2_hidden(X6,X2) ),
inference(cnf_transformation,[],[f10067]) ).
fof(f13368,plain,
! [X2,X0,X1] :
( ~ v1_relat_1(X0)
| r2_hidden(sK484(X0,X1,X2),X2)
| r2_hidden(sK485(X0,X1,X2),X1)
| k10_relat_1(X0,X1) = X2 ),
inference(cnf_transformation,[],[f10067]) ).
fof(f13369,plain,
! [X2,X0,X1] :
( ~ v1_relat_1(X0)
| r2_hidden(sK484(X0,X1,X2),X2)
| r2_hidden(k4_tarski(sK484(X0,X1,X2),sK485(X0,X1,X2)),X0)
| k10_relat_1(X0,X1) = X2 ),
inference(cnf_transformation,[],[f10067]) ).
fof(f13370,plain,
! [X2,X0,X1,X4] :
( ~ v1_relat_1(X0)
| ~ r2_hidden(sK484(X0,X1,X2),X2)
| ~ r2_hidden(X4,X1)
| ~ r2_hidden(k4_tarski(sK484(X0,X1,X2),X4),X0)
| k10_relat_1(X0,X1) = X2 ),
inference(cnf_transformation,[],[f10067]) ).
fof(f13372,plain,
! [X0,X1] :
( ~ v1_finset_1(X1)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| v1_finset_1(k9_relat_1(X0,X1)) ),
inference(cnf_transformation,[],[f8735]) ).
fof(f13373,plain,
! [X2,X3,X0,X1] :
( ~ m2_relset_1(X3,X0,X1)
| ~ v1_funct_2(X3,X0,X1)
| ~ v1_funct_1(X3)
| r1_tarski(k9_relat_1(X3,X2),X1) ),
inference(cnf_transformation,[],[f8737]) ).
fof(f13374,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ m2_relset_1(X3,X0,X1)
| ~ v1_funct_2(X3,X0,X1)
| ~ v1_funct_1(X3)
| k1_xboole_0 = X1
| k1_funct_1(X3,X5) != X4
| ~ r2_hidden(X5,X2)
| ~ r2_hidden(X5,X0)
| r2_hidden(X4,k9_relat_1(X3,X2)) ),
inference(cnf_transformation,[],[f8739]) ).
fof(f13375,plain,
! [X2,X3,X0,X1] :
( ~ m2_relset_1(X3,k1_tarski(X0),X1)
| ~ v1_funct_1(X3)
| r1_tarski(k9_relat_1(X3,X2),k1_tarski(k1_funct_1(X3,X0))) ),
inference(cnf_transformation,[],[f8741]) ).
fof(f13376,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X2,X0,k1_xboole_0)
| ~ v1_funct_1(X2)
| k1_xboole_0 = k9_relat_1(X2,X1) ),
inference(cnf_transformation,[],[f8743]) ).
fof(f13377,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X2,k1_xboole_0,X0)
| ~ v1_funct_1(X2)
| k1_xboole_0 = k9_relat_1(X2,X1) ),
inference(cnf_transformation,[],[f8745]) ).
fof(f13378,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X2,X0,X1)
| ~ v1_funct_1(X2)
| k2_relat_1(X2) = k9_relat_1(X2,X0) ),
inference(cnf_transformation,[],[f8747]) ).
fof(f13379,plain,
! [X0,X1] :
( ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ~ r2_hidden(X0,k1_relat_1(X1))
| k1_tarski(k1_funct_1(X1,X0)) = k9_relat_1(X1,k1_tarski(X0)) ),
inference(cnf_transformation,[],[f8749]) ).
fof(f13380,plain,
! [X2,X0,X1,X6] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| k9_relat_1(X0,X1) != X2
| ~ r2_hidden(X6,X2)
| k1_funct_1(X0,sK489(X0,X1,X6)) = X6 ),
inference(cnf_transformation,[],[f10070]) ).
fof(f13381,plain,
! [X2,X0,X1,X6] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| k9_relat_1(X0,X1) != X2
| ~ r2_hidden(X6,X2)
| r2_hidden(sK489(X0,X1,X6),X1) ),
inference(cnf_transformation,[],[f10070]) ).
fof(f13382,plain,
! [X2,X0,X1,X6] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| k9_relat_1(X0,X1) != X2
| ~ r2_hidden(X6,X2)
| r2_hidden(sK489(X0,X1,X6),k1_relat_1(X0)) ),
inference(cnf_transformation,[],[f10070]) ).
fof(f13383,plain,
! [X2,X0,X1,X6,X7] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| k9_relat_1(X0,X1) != X2
| k1_funct_1(X0,X7) != X6
| ~ r2_hidden(X7,X1)
| ~ r2_hidden(X7,k1_relat_1(X0))
| r2_hidden(X6,X2) ),
inference(cnf_transformation,[],[f10070]) ).
fof(f13384,plain,
! [X2,X0,X1] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| r2_hidden(sK487(X0,X1,X2),X2)
| sK487(X0,X1,X2) = k1_funct_1(X0,sK488(X0,X1,X2))
| k9_relat_1(X0,X1) = X2 ),
inference(cnf_transformation,[],[f10070]) ).
fof(f13385,plain,
! [X2,X0,X1] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| r2_hidden(sK487(X0,X1,X2),X2)
| r2_hidden(sK488(X0,X1,X2),X1)
| k9_relat_1(X0,X1) = X2 ),
inference(cnf_transformation,[],[f10070]) ).
fof(f13386,plain,
! [X2,X0,X1] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| r2_hidden(sK487(X0,X1,X2),X2)
| r2_hidden(sK488(X0,X1,X2),k1_relat_1(X0))
| k9_relat_1(X0,X1) = X2 ),
inference(cnf_transformation,[],[f10070]) ).
fof(f13387,plain,
! [X2,X0,X1,X4] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ~ r2_hidden(sK487(X0,X1,X2),X2)
| k1_funct_1(X0,X4) != sK487(X0,X1,X2)
| ~ r2_hidden(X4,X1)
| ~ r2_hidden(X4,k1_relat_1(X0))
| k9_relat_1(X0,X1) = X2 ),
inference(cnf_transformation,[],[f10070]) ).
fof(f13388,plain,
! [X2,X3,X0,X1] :
( ~ v1_relat_1(X2)
| ~ v1_relat_1(X3)
| ~ r1_tarski(X0,X1)
| ~ r1_tarski(X2,X3)
| r1_tarski(k9_relat_1(X2,X0),k9_relat_1(X3,X1)) ),
inference(cnf_transformation,[],[f8753]) ).
fof(f13389,plain,
! [X2,X0,X1] :
( ~ v1_relat_1(X1)
| ~ v1_relat_1(X2)
| ~ r1_tarski(X1,X2)
| r1_tarski(k9_relat_1(X1,X0),k9_relat_1(X2,X0)) ),
inference(cnf_transformation,[],[f8755]) ).
fof(f13390,plain,
! [X2,X0,X1] :
( ~ v1_relat_1(X2)
| ~ r1_tarski(X0,X1)
| r1_tarski(k9_relat_1(X2,X0),k9_relat_1(X2,X1)) ),
inference(cnf_transformation,[],[f8757]) ).
fof(f13391,plain,
! [X2,X0,X1] :
( ~ v1_relat_1(X2)
| r1_tarski(k4_xboole_0(k9_relat_1(X2,X0),k9_relat_1(X2,X1)),k9_relat_1(X2,k4_xboole_0(X0,X1))) ),
inference(cnf_transformation,[],[f8758]) ).
fof(f13392,plain,
! [X2,X0,X1] :
( ~ v1_relat_1(X2)
| r1_tarski(k9_relat_1(X2,k3_xboole_0(X0,X1)),k3_xboole_0(k9_relat_1(X2,X0),k9_relat_1(X2,X1))) ),
inference(cnf_transformation,[],[f8759]) ).
fof(f13393,plain,
! [X2,X0,X1] :
( ~ v1_relat_1(X2)
| k9_relat_1(X2,k2_xboole_0(X0,X1)) = k2_xboole_0(k9_relat_1(X2,X0),k9_relat_1(X2,X1)) ),
inference(cnf_transformation,[],[f8760]) ).
fof(f13394,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| k1_xboole_0 != k9_relat_1(X1,X0)
| ~ r1_tarski(X0,k1_relat_1(X1))
| k1_xboole_0 = X0 ),
inference(cnf_transformation,[],[f8762]) ).
fof(f13395,plain,
! [X0] : k1_xboole_0 = k9_relat_1(k1_xboole_0,X0),
inference(cnf_transformation,[],[f859]) ).
fof(f13396,plain,
! [X0] :
( ~ v1_relat_1(X0)
| k1_xboole_0 = k9_relat_1(X0,k1_xboole_0) ),
inference(cnf_transformation,[],[f8763]) ).
fof(f13397,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| r1_tarski(k9_relat_1(X1,X0),k9_relat_1(X1,k1_relat_1(X1))) ),
inference(cnf_transformation,[],[f8764]) ).
fof(f13398,plain,
! [X0] :
( ~ v1_relat_1(X0)
| k2_relat_1(X0) = k9_relat_1(X0,k1_relat_1(X0)) ),
inference(cnf_transformation,[],[f8765]) ).
fof(f13399,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| k9_relat_1(X1,X0) = k9_relat_1(X1,k3_xboole_0(k1_relat_1(X1),X0)) ),
inference(cnf_transformation,[],[f8766]) ).
fof(f13400,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| r1_tarski(k9_relat_1(X1,X0),k2_relat_1(X1)) ),
inference(cnf_transformation,[],[f8767]) ).
fof(f13401,plain,
! [X2,X0,X1] :
( ~ v1_relat_1(X2)
| ~ r2_hidden(X0,k9_relat_1(X2,X1))
| r2_hidden(sK490(X0,X1,X2),X1) ),
inference(cnf_transformation,[],[f10073]) ).
fof(f13402,plain,
! [X2,X0,X1] :
( ~ v1_relat_1(X2)
| ~ r2_hidden(X0,k9_relat_1(X2,X1))
| r2_hidden(k4_tarski(sK490(X0,X1,X2),X0),X2) ),
inference(cnf_transformation,[],[f10073]) ).
fof(f13403,plain,
! [X2,X0,X1] :
( ~ v1_relat_1(X2)
| ~ r2_hidden(X0,k9_relat_1(X2,X1))
| r2_hidden(sK490(X0,X1,X2),k1_relat_1(X2)) ),
inference(cnf_transformation,[],[f10073]) ).
fof(f13404,plain,
! [X2,X3,X0,X1] :
( ~ v1_relat_1(X2)
| ~ r2_hidden(X3,X1)
| ~ r2_hidden(k4_tarski(X3,X0),X2)
| ~ r2_hidden(X3,k1_relat_1(X2))
| r2_hidden(X0,k9_relat_1(X2,X1)) ),
inference(cnf_transformation,[],[f10073]) ).
fof(f13405,plain,
! [X2,X0,X1,X6] :
( ~ v1_relat_1(X0)
| k9_relat_1(X0,X1) != X2
| ~ r2_hidden(X6,X2)
| r2_hidden(sK493(X0,X1,X6),X1) ),
inference(cnf_transformation,[],[f10076]) ).
fof(f13406,plain,
! [X2,X0,X1,X6] :
( ~ v1_relat_1(X0)
| k9_relat_1(X0,X1) != X2
| ~ r2_hidden(X6,X2)
| r2_hidden(k4_tarski(sK493(X0,X1,X6),X6),X0) ),
inference(cnf_transformation,[],[f10076]) ).
fof(f13407,plain,
! [X2,X0,X1,X6,X7] :
( ~ v1_relat_1(X0)
| k9_relat_1(X0,X1) != X2
| ~ r2_hidden(X7,X1)
| ~ r2_hidden(k4_tarski(X7,X6),X0)
| r2_hidden(X6,X2) ),
inference(cnf_transformation,[],[f10076]) ).
fof(f13408,plain,
! [X2,X0,X1] :
( ~ v1_relat_1(X0)
| r2_hidden(sK491(X0,X1,X2),X2)
| r2_hidden(sK492(X0,X1,X2),X1)
| k9_relat_1(X0,X1) = X2 ),
inference(cnf_transformation,[],[f10076]) ).
fof(f13409,plain,
! [X2,X0,X1] :
( ~ v1_relat_1(X0)
| r2_hidden(sK491(X0,X1,X2),X2)
| r2_hidden(k4_tarski(sK492(X0,X1,X2),sK491(X0,X1,X2)),X0)
| k9_relat_1(X0,X1) = X2 ),
inference(cnf_transformation,[],[f10076]) ).
fof(f13410,plain,
! [X2,X0,X1,X4] :
( ~ v1_relat_1(X0)
| ~ r2_hidden(sK491(X0,X1,X2),X2)
| ~ r2_hidden(X4,X1)
| ~ r2_hidden(k4_tarski(X4,sK491(X0,X1,X2)),X0)
| k9_relat_1(X0,X1) = X2 ),
inference(cnf_transformation,[],[f10076]) ).
fof(f13411,plain,
! [X2,X3,X0,X1] :
( v1_xboole_0(X0)
| v1_xboole_0(X1)
| ~ m2_relset_1(X2,X1,X0)
| ~ v1_funct_2(X2,X1,X0)
| ~ v1_funct_1(X2)
| ~ m1_subset_1(X3,k5_finsub_1(X1))
| k1_xboole_0 != k2_funct_2(X1,X0,X2,X3)
| k1_xboole_0 = X3 ),
inference(cnf_transformation,[],[f8771]) ).
fof(f13412,plain,
! [X2,X3,X0,X1,X4] :
( v1_xboole_0(X0)
| v1_xboole_0(X1)
| ~ m1_subset_1(X2,k5_finsub_1(X0))
| ~ m2_relset_1(X4,X0,X1)
| ~ v1_funct_2(X4,X0,X1)
| ~ v1_funct_1(X4)
| m1_subset_1(sK494(X0,X1,X2,X3,X4),X0)
| r1_tarski(k2_funct_2(X0,X1,X4,X2),X3) ),
inference(cnf_transformation,[],[f10077]) ).
fof(f13413,plain,
! [X2,X3,X0,X1,X4] :
( v1_xboole_0(X0)
| v1_xboole_0(X1)
| ~ m1_subset_1(X2,k5_finsub_1(X0))
| ~ m2_relset_1(X4,X0,X1)
| ~ v1_funct_2(X4,X0,X1)
| ~ v1_funct_1(X4)
| r2_hidden(sK494(X0,X1,X2,X3,X4),X2)
| r1_tarski(k2_funct_2(X0,X1,X4,X2),X3) ),
inference(cnf_transformation,[],[f10077]) ).
fof(f13414,plain,
! [X2,X3,X0,X1,X4] :
( v1_xboole_0(X0)
| v1_xboole_0(X1)
| ~ m1_subset_1(X2,k5_finsub_1(X0))
| ~ m2_relset_1(X4,X0,X1)
| ~ v1_funct_2(X4,X0,X1)
| ~ v1_funct_1(X4)
| ~ r2_hidden(k8_funct_2(X0,X1,X4,sK494(X0,X1,X2,X3,X4)),X3)
| r1_tarski(k2_funct_2(X0,X1,X4,X2),X3) ),
inference(cnf_transformation,[],[f10077]) ).
fof(f13415,plain,
! [X2,X3,X0,X1] :
( v1_xboole_0(X0)
| v1_xboole_0(X1)
| ~ m2_relset_1(X2,X1,X0)
| ~ v1_funct_2(X2,X1,X0)
| ~ v1_funct_1(X2)
| ~ m1_subset_1(X3,X1)
| k1_tarski(k8_funct_2(X1,X0,X2,X3)) = k2_funct_2(X1,X0,X2,k1_tarski(X3)) ),
inference(cnf_transformation,[],[f8775]) ).
fof(f13416,plain,
! [X2,X3,X0,X1] :
( v1_xboole_0(X2)
| ~ m2_relset_1(X3,X0,X2)
| ~ v1_funct_2(X3,X0,X2)
| ~ v1_funct_1(X3)
| ~ r1_tarski(X1,k1_zfmisc_1(X0))
| k2_funct_2(X0,X2,X3,k3_tarski(X1)) = k3_tarski(k9_relat_1(k1_funct_3(X3),X1)) ),
inference(cnf_transformation,[],[f8777]) ).
fof(f13417,plain,
! [X2,X3,X0,X1] :
( ~ m1_relset_1(X2,X0,X1)
| ~ v1_funct_2(X2,X0,X1)
| ~ v1_funct_1(X2)
| k9_relat_1(X2,X3) = k2_funct_2(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f8779]) ).
fof(f13418,plain,
! [X2,X3,X0,X1] :
( ~ m1_relset_1(X2,X0,X1)
| ~ v1_funct_2(X2,X0,X1)
| ~ v1_funct_1(X2)
| m1_subset_1(k2_funct_2(X0,X1,X2,X3),k1_zfmisc_1(X1)) ),
inference(cnf_transformation,[],[f8781]) ).
fof(f13419,plain,
! [X2,X3,X0,X1,X4] :
( ~ m2_relset_1(X3,X0,X1)
| ~ v1_funct_2(X3,X0,X1)
| ~ v1_funct_1(X3)
| m1_subset_1(sK495(X0,X2,X3,X4),X0)
| ~ r2_hidden(X4,k2_funct_2(X0,X1,X3,X2)) ),
inference(cnf_transformation,[],[f10078]) ).
fof(f13420,plain,
! [X2,X3,X0,X1,X4] :
( ~ m2_relset_1(X3,X0,X1)
| ~ v1_funct_2(X3,X0,X1)
| ~ v1_funct_1(X3)
| k1_funct_1(X3,sK495(X0,X2,X3,X4)) = X4
| ~ r2_hidden(X4,k2_funct_2(X0,X1,X3,X2)) ),
inference(cnf_transformation,[],[f10078]) ).
fof(f13421,plain,
! [X2,X3,X0,X1,X4] :
( ~ m2_relset_1(X3,X0,X1)
| ~ v1_funct_2(X3,X0,X1)
| ~ v1_funct_1(X3)
| r2_hidden(sK495(X0,X2,X3,X4),X2)
| ~ r2_hidden(X4,k2_funct_2(X0,X1,X3,X2)) ),
inference(cnf_transformation,[],[f10078]) ).
fof(f13422,plain,
! [X2,X3,X0,X1,X4] :
( ~ m2_relset_1(X3,X0,X1)
| ~ v1_funct_2(X3,X0,X1)
| ~ v1_funct_1(X3)
| k1_funct_1(X3,sK496(X0,X2,X3,X4)) = X4
| ~ r2_hidden(X4,k2_funct_2(X0,X1,X3,X2)) ),
inference(cnf_transformation,[],[f10079]) ).
fof(f13423,plain,
! [X2,X3,X0,X1,X4] :
( ~ m2_relset_1(X3,X0,X1)
| ~ v1_funct_2(X3,X0,X1)
| ~ v1_funct_1(X3)
| r2_hidden(sK496(X0,X2,X3,X4),X2)
| ~ r2_hidden(X4,k2_funct_2(X0,X1,X3,X2)) ),
inference(cnf_transformation,[],[f10079]) ).
fof(f13424,plain,
! [X2,X3,X0,X1,X4] :
( ~ m2_relset_1(X3,X0,X1)
| ~ v1_funct_2(X3,X0,X1)
| ~ v1_funct_1(X3)
| r2_hidden(sK496(X0,X2,X3,X4),X0)
| ~ r2_hidden(X4,k2_funct_2(X0,X1,X3,X2)) ),
inference(cnf_transformation,[],[f10079]) ).
fof(f13425,plain,
! [X0,X1] :
( ~ m2_relset_1(X1,X0,X0)
| ~ v1_funct_2(X1,X0,X0)
| ~ v1_funct_1(X1)
| k2_relat_1(X1) = k2_funct_2(X0,X0,X1,X0) ),
inference(cnf_transformation,[],[f8787]) ).
fof(f13426,plain,
! [X2,X3,X0,X1] :
( ~ m2_relset_1(X3,k1_tarski(X0),X1)
| ~ v1_funct_2(X3,k1_tarski(X0),X1)
| ~ v1_funct_1(X3)
| k1_xboole_0 = X1
| r1_tarski(k2_funct_2(k1_tarski(X0),X1,X3,X2),k1_tarski(k1_funct_1(X3,X0))) ),
inference(cnf_transformation,[],[f8789]) ).
fof(f13427,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X2,k1_xboole_0,X0)
| ~ v1_funct_2(X2,k1_xboole_0,X0)
| ~ v1_funct_1(X2)
| k1_xboole_0 = k2_funct_2(k1_xboole_0,X0,X2,X1) ),
inference(cnf_transformation,[],[f8791]) ).
fof(f13428,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X2,X0,X1)
| ~ v1_funct_2(X2,X0,X1)
| ~ v1_funct_1(X2)
| k1_xboole_0 = X1
| k2_relat_1(X2) = k2_funct_2(X0,X1,X2,X0) ),
inference(cnf_transformation,[],[f8793]) ).
fof(f13429,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X2,X0,X1)
| ~ v1_funct_2(X2,X0,X1)
| ~ v1_funct_1(X2)
| k1_xboole_0 != X0
| k2_relat_1(X2) = k2_funct_2(X0,X1,X2,X0) ),
inference(cnf_transformation,[],[f8793]) ).
fof(f13430,plain,
! [X0,X1] :
( ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| v1_funct_1(k3_funct_4(X0,X1)) ),
inference(cnf_transformation,[],[f8795]) ).
fof(f13431,plain,
! [X0,X1] :
( ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| v1_relat_1(k3_funct_4(X0,X1)) ),
inference(cnf_transformation,[],[f8795]) ).
fof(f13433,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( v1_xboole_0(X4)
| v1_xboole_0(X5)
| ~ m2_relset_1(X6,k2_zfmisc_1(X0,X1),X4)
| ~ v1_funct_2(X6,k2_zfmisc_1(X0,X1),X4)
| ~ v1_funct_1(X6)
| ~ m2_relset_1(X7,k2_zfmisc_1(X2,X3),X5)
| ~ v1_funct_2(X7,k2_zfmisc_1(X2,X3),X5)
| ~ v1_funct_1(X7)
| v1_funct_2(k3_funct_4(X6,X7),k2_zfmisc_1(k2_zfmisc_1(X0,X2),k2_zfmisc_1(X1,X3)),k2_zfmisc_1(X4,X5)) ),
inference(cnf_transformation,[],[f8797]) ).
fof(f13436,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ m2_relset_1(X6,k2_zfmisc_1(X0,X1),X2)
| ~ v1_funct_2(X6,k2_zfmisc_1(X0,X1),X2)
| ~ v1_funct_1(X6)
| ~ m2_relset_1(X7,k2_zfmisc_1(X3,X4),X5)
| ~ v1_funct_2(X7,k2_zfmisc_1(X3,X4),X5)
| ~ v1_funct_1(X7)
| v1_funct_2(k3_funct_4(X6,X7),k2_zfmisc_1(k2_zfmisc_1(X0,X3),k2_zfmisc_1(X1,X4)),k2_zfmisc_1(X2,X5))
| k1_xboole_0 = X5
| k1_xboole_0 = X2 ),
inference(cnf_transformation,[],[f8799]) ).
fof(f13438,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ m2_relset_1(X6,k2_zfmisc_1(X0,X1),X2)
| ~ v1_funct_1(X6)
| ~ m2_relset_1(X7,k2_zfmisc_1(X3,X4),X5)
| ~ v1_funct_1(X7)
| m2_relset_1(k3_funct_4(X6,X7),k2_zfmisc_1(k2_zfmisc_1(X0,X3),k2_zfmisc_1(X1,X4)),k2_zfmisc_1(X2,X5)) ),
inference(cnf_transformation,[],[f8801]) ).
fof(f13439,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ m2_relset_1(X6,k2_zfmisc_1(X0,X1),X2)
| ~ v1_funct_1(X6)
| ~ m2_relset_1(X7,k2_zfmisc_1(X3,X4),X5)
| ~ v1_funct_1(X7)
| v1_funct_1(k3_funct_4(X6,X7)) ),
inference(cnf_transformation,[],[f8801]) ).
fof(f13440,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ v1_funct_1(X4)
| ~ v1_relat_1(X4)
| ~ v1_funct_1(X5)
| ~ v1_relat_1(X5)
| k2_zfmisc_1(X2,X3) != k1_relat_1(X5)
| k2_zfmisc_1(X0,X1) != k1_relat_1(X4)
| k1_relat_1(k3_funct_4(X4,X5)) = k2_zfmisc_1(k2_zfmisc_1(X0,X2),k2_zfmisc_1(X1,X3)) ),
inference(cnf_transformation,[],[f8803]) ).
fof(f13441,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ v1_funct_1(X4)
| ~ v1_relat_1(X4)
| ~ v1_funct_1(X5)
| ~ v1_relat_1(X5)
| ~ r1_tarski(k1_relat_1(X5),k2_zfmisc_1(X2,X3))
| ~ r1_tarski(k1_relat_1(X4),k2_zfmisc_1(X0,X1))
| r1_tarski(k1_relat_1(k3_funct_4(X4,X5)),k2_zfmisc_1(k2_zfmisc_1(X0,X2),k2_zfmisc_1(X1,X3))) ),
inference(cnf_transformation,[],[f8805]) ).
fof(f13442,plain,
! [X0,X1] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| r1_tarski(k2_relat_1(k3_funct_4(X0,X1)),k2_zfmisc_1(k2_relat_1(X0),k2_relat_1(X1))) ),
inference(cnf_transformation,[],[f8807]) ).
fof(f13443,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ v1_funct_1(X4)
| ~ v1_relat_1(X4)
| ~ v1_funct_1(X5)
| ~ v1_relat_1(X5)
| ~ r2_hidden(k4_tarski(k4_tarski(X0,X1),k4_tarski(X2,X3)),k1_relat_1(k3_funct_4(X4,X5)))
| k1_funct_1(k3_funct_4(X4,X5),k4_tarski(k4_tarski(X0,X1),k4_tarski(X2,X3))) = k4_tarski(k1_funct_1(X4,k4_tarski(X0,X2)),k1_funct_1(X5,k4_tarski(X1,X3))) ),
inference(cnf_transformation,[],[f8809]) ).
fof(f13444,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ v1_funct_1(X4)
| ~ v1_relat_1(X4)
| ~ v1_funct_1(X5)
| ~ v1_relat_1(X5)
| ~ r2_hidden(k4_tarski(k4_tarski(X0,X1),k4_tarski(X2,X3)),k1_relat_1(k3_funct_4(X4,X5)))
| r2_hidden(k4_tarski(X1,X3),k1_relat_1(X5)) ),
inference(cnf_transformation,[],[f10081]) ).
fof(f13445,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ v1_funct_1(X4)
| ~ v1_relat_1(X4)
| ~ v1_funct_1(X5)
| ~ v1_relat_1(X5)
| ~ r2_hidden(k4_tarski(k4_tarski(X0,X1),k4_tarski(X2,X3)),k1_relat_1(k3_funct_4(X4,X5)))
| r2_hidden(k4_tarski(X0,X2),k1_relat_1(X4)) ),
inference(cnf_transformation,[],[f10081]) ).
fof(f13446,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ v1_funct_1(X4)
| ~ v1_relat_1(X4)
| ~ v1_funct_1(X5)
| ~ v1_relat_1(X5)
| ~ r2_hidden(k4_tarski(X1,X3),k1_relat_1(X5))
| ~ r2_hidden(k4_tarski(X0,X2),k1_relat_1(X4))
| r2_hidden(k4_tarski(k4_tarski(X0,X1),k4_tarski(X2,X3)),k1_relat_1(k3_funct_4(X4,X5))) ),
inference(cnf_transformation,[],[f10081]) ).
fof(f13455,plain,
! [X2,X10,X0,X1,X8,X9,X7] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| k3_funct_4(X0,X1) != X2
| ~ r2_hidden(k4_tarski(X9,X10),k1_relat_1(X1))
| ~ r2_hidden(k4_tarski(X7,X8),k1_relat_1(X0))
| k1_funct_1(X2,k4_tarski(k4_tarski(X7,X9),k4_tarski(X8,X10))) = k4_tarski(k1_funct_1(X0,k4_tarski(X7,X8)),k1_funct_1(X1,k4_tarski(X9,X10))) ),
inference(cnf_transformation,[],[f10088]) ).
fof(f13456,plain,
! [X2,X0,X1] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| k3_funct_4(X0,X1) != X2
| sP28(X0,X1,X2) ),
inference(cnf_transformation,[],[f10088]) ).
fof(f13457,plain,
! [X2,X0,X1] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| r2_hidden(k4_tarski(sK508(X0,X1,X2),sK509(X0,X1,X2)),k1_relat_1(X1))
| ~ sP28(X0,X1,X2)
| k3_funct_4(X0,X1) = X2 ),
inference(cnf_transformation,[],[f10088]) ).
fof(f13458,plain,
! [X2,X0,X1] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| r2_hidden(k4_tarski(sK506(X0,X1,X2),sK507(X0,X1,X2)),k1_relat_1(X0))
| ~ sP28(X0,X1,X2)
| k3_funct_4(X0,X1) = X2 ),
inference(cnf_transformation,[],[f10088]) ).
fof(f13459,plain,
! [X2,X0,X1] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| k1_funct_1(X2,k4_tarski(k4_tarski(sK506(X0,X1,X2),sK508(X0,X1,X2)),k4_tarski(sK507(X0,X1,X2),sK509(X0,X1,X2)))) != k4_tarski(k1_funct_1(X0,k4_tarski(sK506(X0,X1,X2),sK507(X0,X1,X2))),k1_funct_1(X1,k4_tarski(sK508(X0,X1,X2),sK509(X0,X1,X2))))
| ~ sP28(X0,X1,X2)
| k3_funct_4(X0,X1) = X2 ),
inference(cnf_transformation,[],[f10088]) ).
fof(f13460,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| m2_lattice4(sK510(X0),X0) ),
inference(cnf_transformation,[],[f10089]) ).
fof(f13461,plain,
! [X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m2_lattice4(X1,X0)
| m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) ),
inference(cnf_transformation,[],[f8817]) ).
fof(f13462,plain,
! [X2,X0,X1] :
( ~ l3_lattices(X0)
| ~ v13_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m2_lattice4(X1,X0)
| ~ r2_hidden(k5_lattices(X0),X1)
| ~ m1_subset_1(X2,k5_finsub_1(u1_struct_0(X0)))
| ~ r1_tarski(X2,X1)
| r2_hidden(k1_lattice4(X0,X2),X1) ),
inference(cnf_transformation,[],[f8819]) ).
fof(f13463,plain,
! [X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_filter_0(X1,X0)
| m2_lattice4(X1,X0) ),
inference(cnf_transformation,[],[f8821]) ).
fof(f13464,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| m2_lattice4(u1_struct_0(X0),X0) ),
inference(cnf_transformation,[],[f8823]) ).
fof(f13465,plain,
! [X0,X1,X4,X5] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ m2_lattice4(X1,X0)
| ~ m1_subset_1(X4,u1_struct_0(X0))
| ~ m1_subset_1(X5,u1_struct_0(X0))
| ~ r2_hidden(X5,X1)
| ~ r2_hidden(X4,X1)
| r2_hidden(k3_lattices(X0,X4,X5),X1) ),
inference(cnf_transformation,[],[f10092]) ).
fof(f13466,plain,
! [X0,X1,X4,X5] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ m2_lattice4(X1,X0)
| ~ m1_subset_1(X4,u1_struct_0(X0))
| ~ m1_subset_1(X5,u1_struct_0(X0))
| ~ r2_hidden(X5,X1)
| ~ r2_hidden(X4,X1)
| r2_hidden(k4_lattices(X0,X4,X5),X1) ),
inference(cnf_transformation,[],[f10092]) ).
fof(f13467,plain,
! [X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| m1_subset_1(sK511(X0,X1),u1_struct_0(X0))
| m2_lattice4(X1,X0) ),
inference(cnf_transformation,[],[f10092]) ).
fof(f13468,plain,
! [X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| m1_subset_1(sK512(X0,X1),u1_struct_0(X0))
| m2_lattice4(X1,X0) ),
inference(cnf_transformation,[],[f10092]) ).
fof(f13469,plain,
! [X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| r2_hidden(sK512(X0,X1),X1)
| m2_lattice4(X1,X0) ),
inference(cnf_transformation,[],[f10092]) ).
fof(f13470,plain,
! [X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| r2_hidden(sK511(X0,X1),X1)
| m2_lattice4(X1,X0) ),
inference(cnf_transformation,[],[f10092]) ).
fof(f13471,plain,
! [X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ r2_hidden(k3_lattices(X0,sK511(X0,X1),sK512(X0,X1)),X1)
| ~ r2_hidden(k4_lattices(X0,sK511(X0,X1),sK512(X0,X1)),X1)
| m2_lattice4(X1,X0) ),
inference(cnf_transformation,[],[f10092]) ).
fof(f13472,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ v1_xboole_0(sK513(X0)) ),
inference(cnf_transformation,[],[f10093]) ).
fof(f13473,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| m2_lattice4(sK513(X0),X0) ),
inference(cnf_transformation,[],[f10093]) ).
fof(f13474,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v13_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| k5_lattices(X0) = k1_lattice4(X0,k1_setwiseo(u1_struct_0(X0))) ),
inference(cnf_transformation,[],[f8829]) ).
fof(f13475,plain,
! [X0] : m1_subset_1(k1_setwiseo(X0),k5_finsub_1(X0)),
inference(cnf_transformation,[],[f2514]) ).
fof(f13476,plain,
! [X0] : v1_xboole_0(k1_setwiseo(X0)),
inference(cnf_transformation,[],[f2514]) ).
fof(f13477,plain,
! [X2,X3,X0,X1,X4,X5] :
( v1_xboole_0(X0)
| ~ m2_relset_1(X3,X0,k5_finsub_1(X1))
| ~ v1_funct_2(X3,X0,k5_finsub_1(X1))
| ~ v1_funct_1(X3)
| ~ m2_relset_1(X4,k5_finsub_1(X1),k5_finsub_1(X2))
| ~ v1_funct_2(X4,k5_finsub_1(X1),k5_finsub_1(X2))
| ~ v1_funct_1(X4)
| m1_subset_1(sK514(X1,X2,X4),k5_finsub_1(X1))
| k1_setwiseo(X2) != k8_funct_2(k5_finsub_1(X1),k5_finsub_1(X2),X4,k1_setwiseo(X1))
| ~ m1_subset_1(X5,k5_finsub_1(X0))
| k8_funct_2(k5_finsub_1(X1),k5_finsub_1(X2),X4,k10_setwiseo(X0,X1,X5,X3)) = k10_setwiseo(X0,X2,X5,k7_funct_2(X0,k5_finsub_1(X1),k5_finsub_1(X2),X3,X4)) ),
inference(cnf_transformation,[],[f10095]) ).
fof(f13478,plain,
! [X2,X3,X0,X1,X4,X5] :
( v1_xboole_0(X0)
| ~ m2_relset_1(X3,X0,k5_finsub_1(X1))
| ~ v1_funct_2(X3,X0,k5_finsub_1(X1))
| ~ v1_funct_1(X3)
| ~ m2_relset_1(X4,k5_finsub_1(X1),k5_finsub_1(X2))
| ~ v1_funct_2(X4,k5_finsub_1(X1),k5_finsub_1(X2))
| ~ v1_funct_1(X4)
| m1_subset_1(sK515(X1,X2,X4),k5_finsub_1(X1))
| k1_setwiseo(X2) != k8_funct_2(k5_finsub_1(X1),k5_finsub_1(X2),X4,k1_setwiseo(X1))
| ~ m1_subset_1(X5,k5_finsub_1(X0))
| k8_funct_2(k5_finsub_1(X1),k5_finsub_1(X2),X4,k10_setwiseo(X0,X1,X5,X3)) = k10_setwiseo(X0,X2,X5,k7_funct_2(X0,k5_finsub_1(X1),k5_finsub_1(X2),X3,X4)) ),
inference(cnf_transformation,[],[f10095]) ).
fof(f13479,plain,
! [X2,X3,X0,X1,X4,X5] :
( v1_xboole_0(X0)
| ~ m2_relset_1(X3,X0,k5_finsub_1(X1))
| ~ v1_funct_2(X3,X0,k5_finsub_1(X1))
| ~ v1_funct_1(X3)
| ~ m2_relset_1(X4,k5_finsub_1(X1),k5_finsub_1(X2))
| ~ v1_funct_2(X4,k5_finsub_1(X1),k5_finsub_1(X2))
| ~ v1_funct_1(X4)
| k8_funct_2(k5_finsub_1(X1),k5_finsub_1(X2),X4,k5_setwiseo(X1,sK514(X1,X2,X4),sK515(X1,X2,X4))) != k5_setwiseo(X2,k8_funct_2(k5_finsub_1(X1),k5_finsub_1(X2),X4,sK514(X1,X2,X4)),k8_funct_2(k5_finsub_1(X1),k5_finsub_1(X2),X4,sK515(X1,X2,X4)))
| k1_setwiseo(X2) != k8_funct_2(k5_finsub_1(X1),k5_finsub_1(X2),X4,k1_setwiseo(X1))
| ~ m1_subset_1(X5,k5_finsub_1(X0))
| k8_funct_2(k5_finsub_1(X1),k5_finsub_1(X2),X4,k10_setwiseo(X0,X1,X5,X3)) = k10_setwiseo(X0,X2,X5,k7_funct_2(X0,k5_finsub_1(X1),k5_finsub_1(X2),X3,X4)) ),
inference(cnf_transformation,[],[f10095]) ).
fof(f13480,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( v1_xboole_0(X0)
| v1_xboole_0(X1)
| ~ m2_relset_1(X3,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X3)
| ~ v1_setwiseo(X3,X1)
| ~ v3_binop_1(X3,X1)
| ~ v2_binop_1(X3,X1)
| ~ v1_binop_1(X3,X1)
| ~ m2_relset_1(X4,X0,k5_finsub_1(X2))
| ~ v1_funct_2(X4,X0,k5_finsub_1(X2))
| ~ v1_funct_1(X4)
| ~ m2_relset_1(X5,k5_finsub_1(X2),X1)
| ~ v1_funct_2(X5,k5_finsub_1(X2),X1)
| ~ v1_funct_1(X5)
| m1_subset_1(sK516(X1,X2,X3,X5),k5_finsub_1(X2))
| k8_funct_2(k5_finsub_1(X2),X1,X5,k1_setwiseo(X2)) != k3_binop_1(X1,X3)
| ~ m1_subset_1(X6,k5_finsub_1(X0))
| k8_funct_2(k5_finsub_1(X2),X1,X5,k10_setwiseo(X0,X2,X6,X4)) = k7_setwiseo(X0,X1,X3,X6,k7_funct_2(X0,k5_finsub_1(X2),X1,X4,X5)) ),
inference(cnf_transformation,[],[f10097]) ).
fof(f13481,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( v1_xboole_0(X0)
| v1_xboole_0(X1)
| ~ m2_relset_1(X3,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X3)
| ~ v1_setwiseo(X3,X1)
| ~ v3_binop_1(X3,X1)
| ~ v2_binop_1(X3,X1)
| ~ v1_binop_1(X3,X1)
| ~ m2_relset_1(X4,X0,k5_finsub_1(X2))
| ~ v1_funct_2(X4,X0,k5_finsub_1(X2))
| ~ v1_funct_1(X4)
| ~ m2_relset_1(X5,k5_finsub_1(X2),X1)
| ~ v1_funct_2(X5,k5_finsub_1(X2),X1)
| ~ v1_funct_1(X5)
| m1_subset_1(sK517(X1,X2,X3,X5),k5_finsub_1(X2))
| k8_funct_2(k5_finsub_1(X2),X1,X5,k1_setwiseo(X2)) != k3_binop_1(X1,X3)
| ~ m1_subset_1(X6,k5_finsub_1(X0))
| k8_funct_2(k5_finsub_1(X2),X1,X5,k10_setwiseo(X0,X2,X6,X4)) = k7_setwiseo(X0,X1,X3,X6,k7_funct_2(X0,k5_finsub_1(X2),X1,X4,X5)) ),
inference(cnf_transformation,[],[f10097]) ).
fof(f13482,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( v1_xboole_0(X0)
| v1_xboole_0(X1)
| ~ m2_relset_1(X3,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X3)
| ~ v1_setwiseo(X3,X1)
| ~ v3_binop_1(X3,X1)
| ~ v2_binop_1(X3,X1)
| ~ v1_binop_1(X3,X1)
| ~ m2_relset_1(X4,X0,k5_finsub_1(X2))
| ~ v1_funct_2(X4,X0,k5_finsub_1(X2))
| ~ v1_funct_1(X4)
| ~ m2_relset_1(X5,k5_finsub_1(X2),X1)
| ~ v1_funct_2(X5,k5_finsub_1(X2),X1)
| ~ v1_funct_1(X5)
| k8_funct_2(k5_finsub_1(X2),X1,X5,k5_setwiseo(X2,sK516(X1,X2,X3,X5),sK517(X1,X2,X3,X5))) != k2_binop_1(X1,X1,X1,X3,k8_funct_2(k5_finsub_1(X2),X1,X5,sK516(X1,X2,X3,X5)),k8_funct_2(k5_finsub_1(X2),X1,X5,sK517(X1,X2,X3,X5)))
| k8_funct_2(k5_finsub_1(X2),X1,X5,k1_setwiseo(X2)) != k3_binop_1(X1,X3)
| ~ m1_subset_1(X6,k5_finsub_1(X0))
| k8_funct_2(k5_finsub_1(X2),X1,X5,k10_setwiseo(X0,X2,X6,X4)) = k7_setwiseo(X0,X1,X3,X6,k7_funct_2(X0,k5_finsub_1(X2),X1,X4,X5)) ),
inference(cnf_transformation,[],[f10097]) ).
fof(f13483,plain,
! [X2,X0,X1] :
( v1_xboole_0(X0)
| ~ m2_relset_1(X2,X0,k5_finsub_1(X1))
| ~ v1_funct_2(X2,X0,k5_finsub_1(X1))
| ~ v1_funct_1(X2)
| k1_xboole_0 = k10_setwiseo(X0,X1,k1_setwiseo(X0),X2) ),
inference(cnf_transformation,[],[f8835]) ).
fof(f13484,plain,
! [X0] : r3_binop_1(k5_finsub_1(X0),k1_setwiseo(X0),k9_setwiseo(X0)),
inference(cnf_transformation,[],[f2487]) ).
fof(f13485,plain,
! [X2,X3,X0,X1] :
( v1_xboole_0(X0)
| v1_xboole_0(X1)
| ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ v1_setwiseo(X2,X0)
| ~ v2_binop_1(X2,X0)
| ~ v1_binop_1(X2,X0)
| ~ m2_relset_1(X3,X1,X0)
| ~ v1_funct_2(X3,X1,X0)
| ~ v1_funct_1(X3)
| k7_setwiseo(X1,X0,X2,k1_setwiseo(X1),X3) = k3_binop_1(X0,X2) ),
inference(cnf_transformation,[],[f8837]) ).
fof(f13486,plain,
! [X0] : k1_xboole_0 = k1_setwiseo(X0),
inference(cnf_transformation,[],[f2451]) ).
fof(f13487,plain,
! [X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,k5_finsub_1(u1_struct_0(X0)))
| k1_lattice4(X0,X1) = k7_setwiseo(u1_struct_0(X0),u1_struct_0(X0),u2_lattices(X0),X1,k7_grcat_1(X0)) ),
inference(cnf_transformation,[],[f8839]) ).
fof(f13488,plain,
! [X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,k5_finsub_1(u1_struct_0(X0)))
| k1_lattice4(X0,X1) = k2_lattice2(u1_struct_0(X0),X0,X1,k7_grcat_1(X0)) ),
inference(cnf_transformation,[],[f8841]) ).
fof(f13489,plain,
! [X0] :
( ~ l1_struct_0(X0)
| m2_relset_1(k7_grcat_1(X0),u1_struct_0(X0),u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f8842]) ).
fof(f13490,plain,
! [X0] :
( ~ l1_struct_0(X0)
| v1_funct_2(k7_grcat_1(X0),u1_struct_0(X0),u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f8842]) ).
fof(f13491,plain,
! [X0] :
( ~ l1_struct_0(X0)
| v1_funct_1(k7_grcat_1(X0)) ),
inference(cnf_transformation,[],[f8842]) ).
fof(f13492,plain,
! [X2,X0,X1] :
( ~ l1_struct_0(X0)
| ~ l1_struct_0(X1)
| v3_struct_0(X1)
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X2)
| k7_funct_2(u1_struct_0(X0),u1_struct_0(X1),u1_struct_0(X1),X2,k7_grcat_1(X1)) = X2 ),
inference(cnf_transformation,[],[f8844]) ).
fof(f13493,plain,
! [X2,X0,X1] :
( ~ l1_struct_0(X0)
| ~ l1_struct_0(X1)
| v3_struct_0(X1)
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X2)
| k1_partfun1(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X1),k7_grcat_1(X0),X2) = X2 ),
inference(cnf_transformation,[],[f8844]) ).
fof(f13494,plain,
! [X0,X1] :
( ~ l1_struct_0(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| k8_funct_2(u1_struct_0(X0),u1_struct_0(X0),k7_grcat_1(X0),X1) = X1 ),
inference(cnf_transformation,[],[f8846]) ).
fof(f13495,plain,
! [X0] :
( ~ l1_struct_0(X0)
| k6_partfun1(u1_struct_0(X0)) = k7_grcat_1(X0) ),
inference(cnf_transformation,[],[f8847]) ).
fof(f13496,plain,
! [X2,X3,X0,X1] :
( ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| ~ v1_funct_1(X3)
| ~ v1_relat_1(X3)
| ~ r1_tarski(X2,X3)
| r1_tarski(k7_relat_1(k8_relat_1(X0,X2),X1),k7_relat_1(k8_relat_1(X0,X3),X1)) ),
inference(cnf_transformation,[],[f8849]) ).
fof(f13497,plain,
! [X2,X0,X1] :
( ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| r1_tarski(k7_relat_1(k8_relat_1(X0,X2),X1),X2) ),
inference(cnf_transformation,[],[f8851]) ).
fof(f13498,plain,
! [X2,X0,X1] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| k3_partfun1(X0,X1,X2) = k7_relat_1(k8_relat_1(X2,X0),X1) ),
inference(cnf_transformation,[],[f8853]) ).
fof(f13499,plain,
! [X2,X0,X1] :
( ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| m2_relset_1(k7_relat_1(k8_relat_1(X0,X2),X1),X1,X0) ),
inference(cnf_transformation,[],[f8855]) ).
fof(f13500,plain,
! [X2,X0,X1] :
( ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| v1_funct_1(k7_relat_1(k8_relat_1(X0,X2),X1)) ),
inference(cnf_transformation,[],[f8855]) ).
fof(f13501,plain,
! [X2,X0,X1] :
( ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| k9_relat_1(k8_relat_1(X0,X2),X1) = k3_xboole_0(X0,k9_relat_1(X2,X1)) ),
inference(cnf_transformation,[],[f8857]) ).
fof(f13502,plain,
! [X2,X0,X1] :
( ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| r1_tarski(k9_relat_1(k8_relat_1(X0,X2),X1),k9_relat_1(X2,X1)) ),
inference(cnf_transformation,[],[f8859]) ).
fof(f13503,plain,
! [X0,X1] :
( ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ~ v2_funct_1(X1)
| v2_funct_1(k8_relat_1(X0,X1)) ),
inference(cnf_transformation,[],[f8861]) ).
fof(f13507,plain,
! [X0,X1] :
( ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| r1_tarski(k1_relat_1(k8_relat_1(X0,X1)),k1_relat_1(X1)) ),
inference(cnf_transformation,[],[f8865]) ).
fof(f13508,plain,
! [X2,X0,X1] :
( ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| ~ r2_hidden(X1,k1_relat_1(k8_relat_1(X0,X2)))
| k1_funct_1(X2,X1) = k1_funct_1(k8_relat_1(X0,X2),X1) ),
inference(cnf_transformation,[],[f8867]) ).
fof(f13509,plain,
! [X2,X0,X1] :
( ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| ~ r2_hidden(X1,k1_relat_1(k8_relat_1(X0,X2)))
| r2_hidden(k1_funct_1(X2,X1),X0) ),
inference(cnf_transformation,[],[f10099]) ).
fof(f13510,plain,
! [X2,X0,X1] :
( ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| ~ r2_hidden(X1,k1_relat_1(k8_relat_1(X0,X2)))
| r2_hidden(X1,k1_relat_1(X2)) ),
inference(cnf_transformation,[],[f10099]) ).
fof(f13511,plain,
! [X2,X0,X1] :
( ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| ~ r2_hidden(k1_funct_1(X2,X1),X0)
| ~ r2_hidden(X1,k1_relat_1(X2))
| r2_hidden(X1,k1_relat_1(k8_relat_1(X0,X2))) ),
inference(cnf_transformation,[],[f10099]) ).
fof(f13512,plain,
! [X2,X0,X1] :
( ~ sP30(X0,X1,X2)
| k8_relat_1(X1,X2) != X0
| sP29(X2,X1,X0) ),
inference(cnf_transformation,[],[f10101]) ).
fof(f13513,plain,
! [X2,X0,X1] :
( ~ sP30(X0,X1,X2)
| ~ sP29(X2,X1,X0)
| k8_relat_1(X1,X2) = X0 ),
inference(cnf_transformation,[],[f10101]) ).
fof(f13524,plain,
! [X2,X0,X1] :
( ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| sP30(X1,X0,X2) ),
inference(cnf_transformation,[],[f9260]) ).
fof(f13525,plain,
! [X0,X1] :
( ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| v1_funct_1(k8_relat_1(X0,X1)) ),
inference(cnf_transformation,[],[f8873]) ).
fof(f13527,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| v1_relat_1(k8_relat_1(X0,X1)) ),
inference(cnf_transformation,[],[f8874]) ).
fof(f13528,plain,
! [X2,X0,X1] :
( ~ v1_relat_1(X2)
| k7_relat_1(k8_relat_1(X0,X2),X1) = k8_relat_1(X0,k7_relat_1(X2,X1)) ),
inference(cnf_transformation,[],[f8875]) ).
fof(f13529,plain,
! [X2,X0,X1] :
( ~ v1_relat_1(X1)
| ~ v1_relat_1(X2)
| k5_relat_1(X1,k8_relat_1(X0,X2)) = k8_relat_1(X0,k5_relat_1(X1,X2)) ),
inference(cnf_transformation,[],[f8876]) ).
fof(f13530,plain,
! [X0] : k1_xboole_0 = k8_relat_1(X0,k1_xboole_0),
inference(cnf_transformation,[],[f846]) ).
fof(f13531,plain,
! [X0] :
( ~ v1_relat_1(X0)
| k1_xboole_0 = k8_relat_1(k1_xboole_0,X0) ),
inference(cnf_transformation,[],[f8877]) ).
fof(f13532,plain,
! [X2,X0,X1] :
( ~ v1_relat_1(X2)
| k8_relat_1(k4_xboole_0(X0,X1),X2) = k4_xboole_0(k8_relat_1(X0,X2),k8_relat_1(X1,X2)) ),
inference(cnf_transformation,[],[f8878]) ).
fof(f13533,plain,
! [X2,X0,X1] :
( ~ v1_relat_1(X2)
| k8_relat_1(k3_xboole_0(X0,X1),X2) = k3_xboole_0(k8_relat_1(X0,X2),k8_relat_1(X1,X2)) ),
inference(cnf_transformation,[],[f8879]) ).
fof(f13534,plain,
! [X2,X0,X1] :
( ~ v1_relat_1(X2)
| k8_relat_1(k2_xboole_0(X0,X1),X2) = k2_xboole_0(k8_relat_1(X0,X2),k8_relat_1(X1,X2)) ),
inference(cnf_transformation,[],[f8880]) ).
fof(f13535,plain,
! [X2,X3,X0,X1] :
( ~ v1_relat_1(X2)
| ~ v1_relat_1(X3)
| ~ r1_tarski(X0,X1)
| ~ r1_tarski(X2,X3)
| r1_tarski(k8_relat_1(X0,X2),k8_relat_1(X1,X3)) ),
inference(cnf_transformation,[],[f8882]) ).
fof(f13536,plain,
! [X2,X0,X1] :
( ~ v1_relat_1(X1)
| ~ v1_relat_1(X2)
| ~ r1_tarski(X1,X2)
| r1_tarski(k8_relat_1(X0,X1),k8_relat_1(X0,X2)) ),
inference(cnf_transformation,[],[f8884]) ).
fof(f13537,plain,
! [X2,X0,X1] :
( ~ v1_relat_1(X2)
| ~ r1_tarski(X0,X1)
| r1_tarski(k8_relat_1(X0,X2),k8_relat_1(X1,X2)) ),
inference(cnf_transformation,[],[f8886]) ).
fof(f13538,plain,
! [X2,X0,X1] :
( ~ v1_relat_1(X2)
| ~ r1_tarski(X0,X1)
| k8_relat_1(X0,X2) = k8_relat_1(X0,k8_relat_1(X1,X2)) ),
inference(cnf_transformation,[],[f8888]) ).
fof(f13539,plain,
! [X2,X0,X1] :
( ~ v1_relat_1(X2)
| ~ r1_tarski(X0,X1)
| k8_relat_1(X0,X2) = k8_relat_1(X1,k8_relat_1(X0,X2)) ),
inference(cnf_transformation,[],[f8890]) ).
fof(f13540,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| k8_relat_1(X0,X1) = k8_relat_1(X0,k8_relat_1(X0,X1)) ),
inference(cnf_transformation,[],[f8891]) ).
fof(f13541,plain,
! [X2,X0,X1] :
( ~ v1_relat_1(X2)
| k8_relat_1(X0,k8_relat_1(X1,X2)) = k8_relat_1(k3_xboole_0(X0,X1),X2) ),
inference(cnf_transformation,[],[f8892]) ).
fof(f13542,plain,
! [X0] :
( ~ v1_relat_1(X0)
| k8_relat_1(k2_relat_1(X0),X0) = X0 ),
inference(cnf_transformation,[],[f8893]) ).
fof(f13543,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| ~ r1_tarski(k2_relat_1(X1),X0)
| k8_relat_1(X0,X1) = X1 ),
inference(cnf_transformation,[],[f8895]) ).
fof(f13544,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| k8_relat_1(X0,X1) = k3_xboole_0(X1,k2_zfmisc_1(k1_relat_1(X1),X0)) ),
inference(cnf_transformation,[],[f8896]) ).
fof(f13545,plain,
! [X2,X0,X1] :
( ~ v1_relat_1(X1)
| ~ v1_relat_1(X2)
| r1_tarski(k5_relat_1(X1,k8_relat_1(X0,X2)),k5_relat_1(X1,X2)) ),
inference(cnf_transformation,[],[f8897]) ).
fof(f13546,plain,
! [X2,X0,X1] :
( ~ v1_relat_1(X1)
| ~ v1_relat_1(X2)
| r1_tarski(k5_relat_1(k8_relat_1(X0,X1),X2),k5_relat_1(X1,X2)) ),
inference(cnf_transformation,[],[f8898]) ).
fof(f13547,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| ~ r1_tarski(X0,k2_relat_1(X1))
| k2_relat_1(k8_relat_1(X0,X1)) = X0 ),
inference(cnf_transformation,[],[f8900]) ).
fof(f13548,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| k2_relat_1(k8_relat_1(X0,X1)) = k3_xboole_0(k2_relat_1(X1),X0) ),
inference(cnf_transformation,[],[f8901]) ).
fof(f13549,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| r1_tarski(k2_relat_1(k8_relat_1(X0,X1)),k2_relat_1(X1)) ),
inference(cnf_transformation,[],[f8902]) ).
fof(f13550,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| r1_tarski(k8_relat_1(X0,X1),X1) ),
inference(cnf_transformation,[],[f8903]) ).
fof(f13551,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| r1_tarski(k2_relat_1(k8_relat_1(X0,X1)),X0) ),
inference(cnf_transformation,[],[f8904]) ).
fof(f13552,plain,
! [X2,X0,X1] :
( ~ v1_relat_1(X2)
| ~ r2_hidden(X0,k2_relat_1(k8_relat_1(X1,X2)))
| r2_hidden(X0,k2_relat_1(X2)) ),
inference(cnf_transformation,[],[f10107]) ).
fof(f13553,plain,
! [X2,X0,X1] :
( ~ v1_relat_1(X2)
| ~ r2_hidden(X0,k2_relat_1(k8_relat_1(X1,X2)))
| r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f10107]) ).
fof(f13554,plain,
! [X2,X0,X1] :
( ~ v1_relat_1(X2)
| ~ r2_hidden(X0,k2_relat_1(X2))
| ~ r2_hidden(X0,X1)
| r2_hidden(X0,k2_relat_1(k8_relat_1(X1,X2))) ),
inference(cnf_transformation,[],[f10107]) ).
fof(f13555,plain,
! [X2,X0,X1,X6,X5] :
( ~ v1_relat_1(X1)
| ~ v1_relat_1(X2)
| k8_relat_1(X0,X1) != X2
| ~ r2_hidden(k4_tarski(X5,X6),X2)
| r2_hidden(k4_tarski(X5,X6),X1) ),
inference(cnf_transformation,[],[f10111]) ).
fof(f13556,plain,
! [X2,X0,X1,X6,X5] :
( ~ v1_relat_1(X1)
| ~ v1_relat_1(X2)
| k8_relat_1(X0,X1) != X2
| ~ r2_hidden(k4_tarski(X5,X6),X2)
| r2_hidden(X6,X0) ),
inference(cnf_transformation,[],[f10111]) ).
fof(f13557,plain,
! [X2,X0,X1,X6,X5] :
( ~ v1_relat_1(X1)
| ~ v1_relat_1(X2)
| k8_relat_1(X0,X1) != X2
| ~ r2_hidden(k4_tarski(X5,X6),X1)
| ~ r2_hidden(X6,X0)
| r2_hidden(k4_tarski(X5,X6),X2) ),
inference(cnf_transformation,[],[f10111]) ).
fof(f13558,plain,
! [X2,X0,X1] :
( ~ v1_relat_1(X1)
| ~ v1_relat_1(X2)
| r2_hidden(k4_tarski(sK520(X0,X1,X2),sK521(X0,X1,X2)),X2)
| r2_hidden(k4_tarski(sK520(X0,X1,X2),sK521(X0,X1,X2)),X1)
| k8_relat_1(X0,X1) = X2 ),
inference(cnf_transformation,[],[f10111]) ).
fof(f13559,plain,
! [X2,X0,X1] :
( ~ v1_relat_1(X1)
| ~ v1_relat_1(X2)
| r2_hidden(k4_tarski(sK520(X0,X1,X2),sK521(X0,X1,X2)),X2)
| r2_hidden(sK521(X0,X1,X2),X0)
| k8_relat_1(X0,X1) = X2 ),
inference(cnf_transformation,[],[f10111]) ).
fof(f13560,plain,
! [X2,X0,X1] :
( ~ v1_relat_1(X1)
| ~ v1_relat_1(X2)
| ~ r2_hidden(k4_tarski(sK520(X0,X1,X2),sK521(X0,X1,X2)),X2)
| ~ r2_hidden(k4_tarski(sK520(X0,X1,X2),sK521(X0,X1,X2)),X1)
| ~ r2_hidden(sK521(X0,X1,X2),X0)
| k8_relat_1(X0,X1) = X2 ),
inference(cnf_transformation,[],[f10111]) ).
fof(f13561,plain,
! [X0] :
( ~ v1_finseq_1(X0)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| k1_card_1(X0) = k3_finseq_1(X0) ),
inference(cnf_transformation,[],[f8908]) ).
fof(f13562,plain,
! [X0] :
( ~ v1_finseq_1(X0)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| m2_subset_1(k3_finseq_1(X0),k1_numbers,k5_numbers) ),
inference(cnf_transformation,[],[f8910]) ).
fof(f13563,plain,
! [X0,X1] :
( ~ m2_finseq_1(X1,X0)
| m2_relset_1(X1,k5_numbers,X0) ),
inference(cnf_transformation,[],[f8911]) ).
fof(f13564,plain,
! [X0,X1] :
( ~ m2_finseq_1(X1,X0)
| v1_finseq_1(X1) ),
inference(cnf_transformation,[],[f8911]) ).
fof(f13565,plain,
! [X0,X1] :
( ~ m2_finseq_1(X1,X0)
| v1_funct_1(X1) ),
inference(cnf_transformation,[],[f8911]) ).
fof(f13566,plain,
! [X0] :
( ~ v1_finset_1(X0)
| k2_relat_1(sK522(X0)) = X0 ),
inference(cnf_transformation,[],[f10114]) ).
fof(f13567,plain,
! [X0] :
( ~ v1_finset_1(X0)
| v1_finseq_1(sK522(X0)) ),
inference(cnf_transformation,[],[f10114]) ).
fof(f13568,plain,
! [X0] :
( ~ v1_finset_1(X0)
| v1_funct_1(sK522(X0)) ),
inference(cnf_transformation,[],[f10114]) ).
fof(f13569,plain,
! [X0] :
( ~ v1_finset_1(X0)
| v1_relat_1(sK522(X0)) ),
inference(cnf_transformation,[],[f10114]) ).
fof(f13570,plain,
! [X0,X1] :
( k2_relat_1(X1) != X0
| ~ v1_finseq_1(X1)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| v1_finset_1(X0) ),
inference(cnf_transformation,[],[f10114]) ).
fof(f13573,plain,
! [X0] :
( ~ v1_finseq_1(X0)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| np__0 != k3_finseq_1(X0)
| k1_xboole_0 = X0 ),
inference(cnf_transformation,[],[f10116]) ).
fof(f13574,plain,
! [X0] :
( ~ v1_finseq_1(X0)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| k1_xboole_0 != X0
| np__0 = k3_finseq_1(X0) ),
inference(cnf_transformation,[],[f10116]) ).
fof(f13575,plain,
v1_finseq_1(k1_xboole_0),
inference(cnf_transformation,[],[f3267]) ).
fof(f13576,plain,
v1_funct_1(k1_xboole_0),
inference(cnf_transformation,[],[f3267]) ).
fof(f13577,plain,
v1_relat_1(k1_xboole_0),
inference(cnf_transformation,[],[f3267]) ).
fof(f13578,plain,
v1_finseq_1(sK523),
inference(cnf_transformation,[],[f10117]) ).
fof(f13579,plain,
v1_finset_1(sK523),
inference(cnf_transformation,[],[f10117]) ).
fof(f13580,plain,
v1_funct_1(sK523),
inference(cnf_transformation,[],[f10117]) ).
fof(f13581,plain,
v1_relat_1(sK523),
inference(cnf_transformation,[],[f10117]) ).
fof(f13582,plain,
~ v1_xboole_0(sK523),
inference(cnf_transformation,[],[f10117]) ).
fof(f13583,plain,
! [X0] : v1_finseq_1(sK524(X0)),
inference(cnf_transformation,[],[f10118]) ).
fof(f13584,plain,
! [X0] : v1_finset_1(sK524(X0)),
inference(cnf_transformation,[],[f10118]) ).
fof(f13585,plain,
! [X0] : v1_funct_1(sK524(X0)),
inference(cnf_transformation,[],[f10118]) ).
fof(f13586,plain,
! [X0] : v1_relat_1(sK524(X0)),
inference(cnf_transformation,[],[f10118]) ).
fof(f13587,plain,
! [X0] : m1_relset_1(sK524(X0),k5_numbers,X0),
inference(cnf_transformation,[],[f10118]) ).
fof(f13588,plain,
! [X0] :
( ~ v1_finseq_1(X0)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| v1_finset_1(X0) ),
inference(cnf_transformation,[],[f8917]) ).
fof(f13591,plain,
v1_finseq_1(sK525),
inference(cnf_transformation,[],[f10119]) ).
fof(f13592,plain,
v1_funct_1(sK525),
inference(cnf_transformation,[],[f10119]) ).
fof(f13593,plain,
v1_relat_1(sK525),
inference(cnf_transformation,[],[f10119]) ).
fof(f13594,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X1,X0,X0)
| ~ v1_partfun1(X1,X0,X0)
| ~ v1_relat_2(X1)
| k1_xboole_0 != X1
| ~ r2_hidden(X2,X0) ),
inference(cnf_transformation,[],[f8919]) ).
fof(f13595,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X2,X0,X0)
| ~ v1_partfun1(X2,X0,X0)
| ~ v1_relat_2(X2)
| ~ r2_hidden(X1,X0)
| r2_hidden(k4_tarski(X1,X1),X2) ),
inference(cnf_transformation,[],[f8921]) ).
fof(f13598,plain,
! [X0,X1] :
( ~ v1_relat_1(X0)
| ~ v1_relat_1(X1)
| ~ v1_relat_2(X1)
| ~ v1_relat_2(X0)
| v1_relat_2(k3_xboole_0(X0,X1)) ),
inference(cnf_transformation,[],[f8925]) ).
fof(f13599,plain,
! [X0,X1] :
( ~ v1_relat_1(X0)
| ~ v1_relat_1(X1)
| ~ v1_relat_2(X1)
| ~ v1_relat_2(X0)
| v1_relat_2(k2_xboole_0(X0,X1)) ),
inference(cnf_transformation,[],[f8925]) ).
fof(f13600,plain,
! [X0] :
( ~ v1_relat_1(X0)
| ~ v1_relat_2(X0)
| k2_relat_1(X0) = k2_relat_1(k4_relat_1(X0)) ),
inference(cnf_transformation,[],[f8927]) ).
fof(f13601,plain,
! [X0] :
( ~ v1_relat_1(X0)
| ~ v1_relat_2(X0)
| k1_relat_1(X0) = k1_relat_1(k4_relat_1(X0)) ),
inference(cnf_transformation,[],[f8927]) ).
fof(f13602,plain,
! [X0] :
( ~ v1_relat_1(X0)
| ~ v1_relat_2(X0)
| v1_relat_2(k4_relat_1(X0)) ),
inference(cnf_transformation,[],[f8929]) ).
fof(f13603,plain,
! [X0] :
( ~ v1_relat_1(X0)
| ~ v8_relat_2(X0)
| ~ v3_relat_2(X0)
| v1_relat_2(X0) ),
inference(cnf_transformation,[],[f8931]) ).
fof(f13604,plain,
! [X0] :
( ~ v1_relat_1(X0)
| ~ v8_relat_2(X0)
| v8_relat_2(k4_relat_1(X0)) ),
inference(cnf_transformation,[],[f8933]) ).
fof(f13605,plain,
! [X0] :
( ~ v1_relat_1(X0)
| ~ v3_relat_2(X0)
| v3_relat_2(k4_relat_1(X0)) ),
inference(cnf_transformation,[],[f8935]) ).
fof(f13606,plain,
! [X0] :
( ~ v1_relat_1(X0)
| ~ v3_relat_2(X0)
| k4_relat_1(X0) = X0 ),
inference(cnf_transformation,[],[f10120]) ).
fof(f13607,plain,
! [X0] :
( ~ v1_relat_1(X0)
| k4_relat_1(X0) != X0
| v3_relat_2(X0) ),
inference(cnf_transformation,[],[f10120]) ).
fof(f13608,plain,
! [X0] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ~ v2_funct_1(X0)
| k4_relat_1(X0) = k2_funct_1(X0) ),
inference(cnf_transformation,[],[f8938]) ).
fof(f13609,plain,
! [X0] :
( ~ v2_funct_1(X0)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| v1_funct_1(k4_relat_1(X0)) ),
inference(cnf_transformation,[],[f8940]) ).
fof(f13611,plain,
! [X0] :
( ~ v1_relat_1(X0)
| k4_relat_1(k4_relat_1(X0)) = X0 ),
inference(cnf_transformation,[],[f8941]) ).
fof(f13612,plain,
! [X0] :
( ~ v1_relat_1(X0)
| v1_relat_1(k4_relat_1(X0)) ),
inference(cnf_transformation,[],[f8942]) ).
fof(f13613,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| r1_tarski(k3_xboole_0(k2_relat_1(X1),X0),k10_relat_1(k4_relat_1(X1),k10_relat_1(X1,X0))) ),
inference(cnf_transformation,[],[f8943]) ).
fof(f13614,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| r1_tarski(k3_xboole_0(k1_relat_1(X1),X0),k9_relat_1(k4_relat_1(X1),k9_relat_1(X1,X0))) ),
inference(cnf_transformation,[],[f8944]) ).
fof(f13615,plain,
! [X0] : k6_relat_1(X0) = k4_relat_1(k6_relat_1(X0)),
inference(cnf_transformation,[],[f778]) ).
fof(f13616,plain,
k1_xboole_0 = k4_relat_1(k1_xboole_0),
inference(cnf_transformation,[],[f770]) ).
fof(f13617,plain,
! [X0,X1] :
( ~ v1_relat_1(X0)
| ~ v1_relat_1(X1)
| k4_relat_1(k5_relat_1(X0,X1)) = k5_relat_1(k4_relat_1(X1),k4_relat_1(X0)) ),
inference(cnf_transformation,[],[f8945]) ).
fof(f13618,plain,
! [X0,X1] :
( ~ v1_relat_1(X0)
| ~ v1_relat_1(X1)
| k4_relat_1(k4_xboole_0(X0,X1)) = k4_xboole_0(k4_relat_1(X0),k4_relat_1(X1)) ),
inference(cnf_transformation,[],[f8946]) ).
fof(f13619,plain,
! [X0,X1] :
( ~ v1_relat_1(X0)
| ~ v1_relat_1(X1)
| k4_relat_1(k2_xboole_0(X0,X1)) = k2_xboole_0(k4_relat_1(X0),k4_relat_1(X1)) ),
inference(cnf_transformation,[],[f8947]) ).
fof(f13620,plain,
! [X0,X1] :
( ~ v1_relat_1(X0)
| ~ v1_relat_1(X1)
| k4_relat_1(k3_xboole_0(X0,X1)) = k3_xboole_0(k4_relat_1(X0),k4_relat_1(X1)) ),
inference(cnf_transformation,[],[f8948]) ).
fof(f13621,plain,
! [X0] :
( ~ v1_relat_1(X0)
| k1_relat_1(X0) = k2_relat_1(k4_relat_1(X0)) ),
inference(cnf_transformation,[],[f8949]) ).
fof(f13622,plain,
! [X0] :
( ~ v1_relat_1(X0)
| k2_relat_1(X0) = k1_relat_1(k4_relat_1(X0)) ),
inference(cnf_transformation,[],[f8949]) ).
fof(f13623,plain,
! [X0,X1,X4,X5] :
( ~ v1_relat_1(X0)
| ~ v1_relat_1(X1)
| k4_relat_1(X0) != X1
| ~ r2_hidden(k4_tarski(X4,X5),X1)
| r2_hidden(k4_tarski(X5,X4),X0) ),
inference(cnf_transformation,[],[f10123]) ).
fof(f13624,plain,
! [X0,X1,X4,X5] :
( ~ v1_relat_1(X0)
| ~ v1_relat_1(X1)
| k4_relat_1(X0) != X1
| ~ r2_hidden(k4_tarski(X5,X4),X0)
| r2_hidden(k4_tarski(X4,X5),X1) ),
inference(cnf_transformation,[],[f10123]) ).
fof(f13625,plain,
! [X0,X1] :
( ~ v1_relat_1(X0)
| ~ v1_relat_1(X1)
| r2_hidden(k4_tarski(sK526(X0,X1),sK527(X0,X1)),X1)
| r2_hidden(k4_tarski(sK527(X0,X1),sK526(X0,X1)),X0)
| k4_relat_1(X0) = X1 ),
inference(cnf_transformation,[],[f10123]) ).
fof(f13626,plain,
! [X0,X1] :
( ~ v1_relat_1(X0)
| ~ v1_relat_1(X1)
| ~ r2_hidden(k4_tarski(sK526(X0,X1),sK527(X0,X1)),X1)
| ~ r2_hidden(k4_tarski(sK527(X0,X1),sK526(X0,X1)),X0)
| k4_relat_1(X0) = X1 ),
inference(cnf_transformation,[],[f10123]) ).
fof(f13627,plain,
! [X0] :
( ~ v1_xboole_0(X0)
| v1_relat_1(k4_relat_1(X0)) ),
inference(cnf_transformation,[],[f8951]) ).
fof(f13628,plain,
! [X0] :
( ~ v1_xboole_0(X0)
| v1_xboole_0(k4_relat_1(X0)) ),
inference(cnf_transformation,[],[f8951]) ).
fof(f13629,plain,
! [X0] :
( ~ l1_cat_1(X0)
| ~ v1_xboole_0(u1_cat_1(X0)) ),
inference(cnf_transformation,[],[f8952]) ).
fof(f13630,plain,
l1_cat_1(sK528),
inference(cnf_transformation,[],[f10124]) ).
fof(f13631,plain,
v2_cat_1(sK529),
inference(cnf_transformation,[],[f10125]) ).
fof(f13632,plain,
l1_cat_1(sK529),
inference(cnf_transformation,[],[f10125]) ).
fof(f13633,plain,
! [X0] :
( ~ l1_cat_1(X0)
| ~ v1_xboole_0(u2_cat_1(X0)) ),
inference(cnf_transformation,[],[f8953]) ).
fof(f13634,plain,
! [X0,X1] :
( ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| l1_cat_1(k11_cat_2(X0,X1)) ),
inference(cnf_transformation,[],[f8955]) ).
fof(f13635,plain,
! [X0,X1] :
( ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| v2_cat_1(k11_cat_2(X0,X1)) ),
inference(cnf_transformation,[],[f8955]) ).
fof(f13636,plain,
l1_rlvect_1(sK530),
inference(cnf_transformation,[],[f10126]) ).
fof(f13637,plain,
! [X2,X0,X1] :
( ~ l1_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| k5_rlvect_1(X0,k2_rlvect_1(X0,k5_rlvect_1(X0,X1),X2)) = k2_rlvect_1(X0,k5_rlvect_1(X0,X2),X1) ),
inference(cnf_transformation,[],[f8957]) ).
fof(f13638,plain,
! [X2,X0,X1] :
( ~ l1_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| k2_rlvect_1(X0,X1,X2) = k5_rlvect_1(X0,k2_rlvect_1(X0,k5_rlvect_1(X0,X2),k5_rlvect_1(X0,X1))) ),
inference(cnf_transformation,[],[f8959]) ).
fof(f13639,plain,
! [X2,X0,X1] :
( ~ l1_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| k1_rlvect_1(X0) != k2_rlvect_1(X0,X1,X2)
| k5_rlvect_1(X0,X1) = X2 ),
inference(cnf_transformation,[],[f10127]) ).
fof(f13641,plain,
! [X0] :
( ~ sP32(X0)
| l1_rlvect_1(X0) ),
inference(cnf_transformation,[],[f10129]) ).
fof(f13642,plain,
! [X0] :
( ~ sP32(X0)
| v6_rlvect_1(X0) ),
inference(cnf_transformation,[],[f10129]) ).
fof(f13643,plain,
! [X0] :
( ~ sP32(X0)
| v5_rlvect_1(X0) ),
inference(cnf_transformation,[],[f10129]) ).
fof(f13644,plain,
! [X0] :
( ~ sP32(X0)
| v4_rlvect_1(X0) ),
inference(cnf_transformation,[],[f10129]) ).
fof(f13645,plain,
! [X0] :
( ~ sP32(X0)
| v3_rlvect_1(X0) ),
inference(cnf_transformation,[],[f10129]) ).
fof(f13646,plain,
! [X0] :
( ~ sP32(X0)
| ~ v3_struct_0(X0) ),
inference(cnf_transformation,[],[f10129]) ).
fof(f13647,plain,
! [X0] :
( ~ l1_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0)
| sP32(X0) ),
inference(cnf_transformation,[],[f10129]) ).
fof(f13657,plain,
! [X0] :
( ~ l1_rlvect_1(X0)
| v3_struct_0(X0)
| ~ sP31(X0)
| sP32(X0) ),
inference(cnf_transformation,[],[f10133]) ).
fof(f13658,plain,
! [X0] :
( ~ l1_rlvect_1(X0)
| v3_struct_0(X0)
| ~ sP32(X0)
| sP31(X0) ),
inference(cnf_transformation,[],[f10133]) ).
fof(f13659,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l1_rlvect_1(X0)
| v3_struct_0(X0)
| m1_subset_1(k2_rlvect_1(X0,X1,X2),u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f8965]) ).
fof(f13660,plain,
! [X2,X0,X1] :
( ~ l1_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| k5_rlvect_1(X0,k2_rlvect_1(X0,X1,X2)) = k2_rlvect_1(X0,k5_rlvect_1(X0,X2),k5_rlvect_1(X0,X1)) ),
inference(cnf_transformation,[],[f8967]) ).
fof(f13661,plain,
! [X2,X0,X1] :
( ~ l1_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| k2_rlvect_1(X0,X2,X1) != X1
| k1_rlvect_1(X0) = X2 ),
inference(cnf_transformation,[],[f8969]) ).
fof(f13662,plain,
! [X2,X0,X1] :
( ~ l1_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| k2_rlvect_1(X0,X1,X2) != X1
| k1_rlvect_1(X0) = X2 ),
inference(cnf_transformation,[],[f8969]) ).
fof(f13663,plain,
! [X2,X3,X0,X1,X4] :
( ~ l1_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X3,u1_struct_0(X0))
| ~ m1_subset_1(X4,u1_struct_0(X0))
| k2_rlvect_1(X0,X3,X1) != k2_rlvect_1(X0,X4,X1)
| X3 = X4 ),
inference(cnf_transformation,[],[f8971]) ).
fof(f13664,plain,
! [X2,X3,X0,X1,X4] :
( ~ l1_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X3,u1_struct_0(X0))
| ~ m1_subset_1(X4,u1_struct_0(X0))
| k2_rlvect_1(X0,X1,X3) != k2_rlvect_1(X0,X1,X4)
| X3 = X4 ),
inference(cnf_transformation,[],[f8971]) ).
fof(f13665,plain,
! [X2,X0,X1] :
( ~ l1_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| k2_rlvect_1(X0,X1,sK535(X0,X1,X2)) = X2 ),
inference(cnf_transformation,[],[f10134]) ).
fof(f13666,plain,
! [X2,X0,X1] :
( ~ l1_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| m1_subset_1(sK535(X0,X1,X2),u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f10134]) ).
fof(f13667,plain,
! [X2,X0,X1] :
( ~ l1_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| k1_rlvect_1(X0) != k2_rlvect_1(X0,X1,X2)
| k5_rlvect_1(X0,X2) = X1 ),
inference(cnf_transformation,[],[f8975]) ).
fof(f13668,plain,
! [X0,X1] :
( ~ l1_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| k1_rlvect_1(X0) = k2_rlvect_1(X0,k5_rlvect_1(X0,X1),X1) ),
inference(cnf_transformation,[],[f8977]) ).
fof(f13669,plain,
! [X0,X1] :
( ~ l1_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| k1_rlvect_1(X0) = k2_rlvect_1(X0,X1,k5_rlvect_1(X0,X1)) ),
inference(cnf_transformation,[],[f8977]) ).
fof(f13671,plain,
! [X2,X0,X1] :
( ~ l1_rlvect_1(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| k1_rlvect_1(X0) != k2_rlvect_1(X0,X1,X2)
| k5_rlvect_1(X0,X1) = X2 ),
inference(cnf_transformation,[],[f10135]) ).
fof(f13672,plain,
! [X0,X1] :
( ~ l1_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| k2_rlvect_1(X0,k1_rlvect_1(X0),X1) = X1 ),
inference(cnf_transformation,[],[f8981]) ).
fof(f13673,plain,
! [X0,X1] :
( ~ l1_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| k2_rlvect_1(X0,X1,k1_rlvect_1(X0)) = X1 ),
inference(cnf_transformation,[],[f8981]) ).
fof(f13674,plain,
! [X3,X0] :
( ~ l1_rlvect_1(X0)
| v3_struct_0(X0)
| ~ v6_rlvect_1(X0)
| ~ m1_subset_1(X3,u1_struct_0(X0))
| k1_rlvect_1(X0) = k2_rlvect_1(X0,X3,sK537(X0,X3)) ),
inference(cnf_transformation,[],[f10138]) ).
fof(f13675,plain,
! [X3,X0] :
( ~ l1_rlvect_1(X0)
| v3_struct_0(X0)
| ~ v6_rlvect_1(X0)
| ~ m1_subset_1(X3,u1_struct_0(X0))
| m1_subset_1(sK537(X0,X3),u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f10138]) ).
fof(f13676,plain,
! [X0] :
( ~ l1_rlvect_1(X0)
| v3_struct_0(X0)
| m1_subset_1(sK536(X0),u1_struct_0(X0))
| v6_rlvect_1(X0) ),
inference(cnf_transformation,[],[f10138]) ).
fof(f13677,plain,
! [X2,X0] :
( ~ l1_rlvect_1(X0)
| v3_struct_0(X0)
| k1_rlvect_1(X0) != k2_rlvect_1(X0,sK536(X0),X2)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| v6_rlvect_1(X0) ),
inference(cnf_transformation,[],[f10138]) ).
fof(f13678,plain,
! [X2,X0] :
( ~ l1_rlvect_1(X0)
| v3_struct_0(X0)
| ~ v5_rlvect_1(X0)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| k2_rlvect_1(X0,X2,k1_rlvect_1(X0)) = X2 ),
inference(cnf_transformation,[],[f10141]) ).
fof(f13679,plain,
! [X0] :
( ~ l1_rlvect_1(X0)
| v3_struct_0(X0)
| m1_subset_1(sK538(X0),u1_struct_0(X0))
| v5_rlvect_1(X0) ),
inference(cnf_transformation,[],[f10141]) ).
fof(f13680,plain,
! [X0] :
( ~ l1_rlvect_1(X0)
| v3_struct_0(X0)
| sK538(X0) != k2_rlvect_1(X0,sK538(X0),k1_rlvect_1(X0))
| v5_rlvect_1(X0) ),
inference(cnf_transformation,[],[f10141]) ).
fof(f13681,plain,
! [X0,X6,X4,X5] :
( ~ l1_rlvect_1(X0)
| v3_struct_0(X0)
| ~ v4_rlvect_1(X0)
| ~ m1_subset_1(X4,u1_struct_0(X0))
| ~ m1_subset_1(X5,u1_struct_0(X0))
| ~ m1_subset_1(X6,u1_struct_0(X0))
| k2_rlvect_1(X0,k2_rlvect_1(X0,X4,X5),X6) = k2_rlvect_1(X0,X4,k2_rlvect_1(X0,X5,X6)) ),
inference(cnf_transformation,[],[f10144]) ).
fof(f13682,plain,
! [X0] :
( ~ l1_rlvect_1(X0)
| v3_struct_0(X0)
| m1_subset_1(sK539(X0),u1_struct_0(X0))
| v4_rlvect_1(X0) ),
inference(cnf_transformation,[],[f10144]) ).
fof(f13683,plain,
! [X0] :
( ~ l1_rlvect_1(X0)
| v3_struct_0(X0)
| m1_subset_1(sK540(X0),u1_struct_0(X0))
| v4_rlvect_1(X0) ),
inference(cnf_transformation,[],[f10144]) ).
fof(f13684,plain,
! [X0] :
( ~ l1_rlvect_1(X0)
| v3_struct_0(X0)
| m1_subset_1(sK541(X0),u1_struct_0(X0))
| v4_rlvect_1(X0) ),
inference(cnf_transformation,[],[f10144]) ).
fof(f13685,plain,
! [X0] :
( ~ l1_rlvect_1(X0)
| v3_struct_0(X0)
| k2_rlvect_1(X0,k2_rlvect_1(X0,sK539(X0),sK540(X0)),sK541(X0)) != k2_rlvect_1(X0,sK539(X0),k2_rlvect_1(X0,sK540(X0),sK541(X0)))
| v4_rlvect_1(X0) ),
inference(cnf_transformation,[],[f10144]) ).
fof(f13686,plain,
! [X3,X0,X4] :
( ~ l1_rlvect_1(X0)
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ m1_subset_1(X3,u1_struct_0(X0))
| ~ m1_subset_1(X4,u1_struct_0(X0))
| k2_rlvect_1(X0,X3,X4) = k2_rlvect_1(X0,X4,X3) ),
inference(cnf_transformation,[],[f10147]) ).
fof(f13687,plain,
! [X0] :
( ~ l1_rlvect_1(X0)
| v3_struct_0(X0)
| m1_subset_1(sK542(X0),u1_struct_0(X0))
| v3_rlvect_1(X0) ),
inference(cnf_transformation,[],[f10147]) ).
fof(f13688,plain,
! [X0] :
( ~ l1_rlvect_1(X0)
| v3_struct_0(X0)
| m1_subset_1(sK543(X0),u1_struct_0(X0))
| v3_rlvect_1(X0) ),
inference(cnf_transformation,[],[f10147]) ).
fof(f13689,plain,
! [X0] :
( ~ l1_rlvect_1(X0)
| v3_struct_0(X0)
| k2_rlvect_1(X0,sK542(X0),sK543(X0)) != k2_rlvect_1(X0,sK543(X0),sK542(X0))
| v3_rlvect_1(X0) ),
inference(cnf_transformation,[],[f10147]) ).
fof(f13690,plain,
! [X0] :
( ~ l1_rlvect_1(X0)
| m2_relset_1(u1_rlvect_1(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f8990]) ).
fof(f13691,plain,
! [X0] :
( ~ l1_rlvect_1(X0)
| v1_funct_2(u1_rlvect_1(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f8990]) ).
fof(f13692,plain,
! [X0] :
( ~ l1_rlvect_1(X0)
| v1_funct_1(u1_rlvect_1(X0)) ),
inference(cnf_transformation,[],[f8990]) ).
fof(f13693,plain,
! [X2,X0,X1] :
( ~ l1_rlvect_1(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| k2_rlvect_1(X0,X1,X2) = k2_binop_1(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),u1_rlvect_1(X0),X1,X2) ),
inference(cnf_transformation,[],[f8992]) ).
fof(f13694,plain,
! [X2,X3,X0,X1,X4,X5] :
( v1_xboole_0(X0)
| v1_xboole_0(X1)
| ~ m1_subset_1(X2,X0)
| ~ m1_subset_1(X3,X1)
| ~ m2_relset_1(X4,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X4,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X4)
| ~ m2_relset_1(X5,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X5,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X5)
| ~ r2_binop_1(X1,X3,X5)
| ~ r2_binop_1(X0,X2,X4)
| r2_binop_1(k2_zfmisc_1(X0,X1),k1_domain_1(X0,X1,X2,X3),k7_filter_1(X0,X1,X4,X5)) ),
inference(cnf_transformation,[],[f10149]) ).
fof(f13695,plain,
! [X2,X3,X0,X1,X4,X5] :
( v1_xboole_0(X0)
| v1_xboole_0(X1)
| ~ m1_subset_1(X2,X0)
| ~ m1_subset_1(X3,X1)
| ~ m2_relset_1(X4,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X4,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X4)
| ~ m2_relset_1(X5,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X5,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X5)
| ~ r2_binop_1(k2_zfmisc_1(X0,X1),k1_domain_1(X0,X1,X2,X3),k7_filter_1(X0,X1,X4,X5))
| r2_binop_1(X1,X3,X5) ),
inference(cnf_transformation,[],[f10149]) ).
fof(f13696,plain,
! [X2,X3,X0,X1,X4,X5] :
( v1_xboole_0(X0)
| v1_xboole_0(X1)
| ~ m1_subset_1(X2,X0)
| ~ m1_subset_1(X3,X1)
| ~ m2_relset_1(X4,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X4,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X4)
| ~ m2_relset_1(X5,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X5,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X5)
| ~ r2_binop_1(k2_zfmisc_1(X0,X1),k1_domain_1(X0,X1,X2,X3),k7_filter_1(X0,X1,X4,X5))
| r2_binop_1(X0,X2,X4) ),
inference(cnf_transformation,[],[f10149]) ).
fof(f13697,plain,
! [X2,X0,X1,X4] :
( v1_xboole_0(X0)
| ~ m1_subset_1(X1,X0)
| ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ r2_binop_1(X0,X1,X2)
| ~ m1_subset_1(X4,X0)
| k2_binop_1(X0,X0,X0,X2,X4,X1) = X4 ),
inference(cnf_transformation,[],[f10152]) ).
fof(f13698,plain,
! [X2,X0,X1] :
( v1_xboole_0(X0)
| ~ m1_subset_1(X1,X0)
| ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| m1_subset_1(sK544(X0,X1,X2),X0)
| r2_binop_1(X0,X1,X2) ),
inference(cnf_transformation,[],[f10152]) ).
fof(f13699,plain,
! [X2,X0,X1] :
( v1_xboole_0(X0)
| ~ m1_subset_1(X1,X0)
| ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| sK544(X0,X1,X2) != k2_binop_1(X0,X0,X0,X2,sK544(X0,X1,X2),X1)
| r2_binop_1(X0,X1,X2) ),
inference(cnf_transformation,[],[f10152]) ).
fof(f13700,plain,
! [X2,X3,X0,X1] :
( ~ m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| ~ m1_subset_1(X2,X0)
| ~ m1_subset_1(X3,X0)
| ~ r2_binop_1(X0,X3,X1)
| ~ r1_binop_1(X0,X2,X1)
| X2 = X3 ),
inference(cnf_transformation,[],[f8998]) ).
fof(f13701,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| ~ m1_subset_1(X2,X0)
| ~ v1_binop_1(X1,X0)
| ~ r1_binop_1(X0,X2,X1)
| r2_binop_1(X0,X2,X1) ),
inference(cnf_transformation,[],[f10153]) ).
fof(f13702,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| ~ m1_subset_1(X2,X0)
| ~ v1_binop_1(X1,X0)
| ~ r2_binop_1(X0,X2,X1)
| r1_binop_1(X0,X2,X1) ),
inference(cnf_transformation,[],[f10153]) ).
fof(f13704,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| ~ m1_subset_1(X2,X0)
| ~ v1_binop_1(X1,X0)
| ~ r2_binop_1(X0,X2,X1)
| r3_binop_1(X0,X2,X1) ),
inference(cnf_transformation,[],[f10154]) ).
fof(f13705,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X1,X0)
| ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ r3_binop_1(X0,X1,X2)
| r2_binop_1(X0,X1,X2) ),
inference(cnf_transformation,[],[f10156]) ).
fof(f13706,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X1,X0)
| ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ r3_binop_1(X0,X1,X2)
| r1_binop_1(X0,X1,X2) ),
inference(cnf_transformation,[],[f10156]) ).
fof(f13707,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X1,X0)
| ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ r2_binop_1(X0,X1,X2)
| ~ r1_binop_1(X0,X1,X2)
| r3_binop_1(X0,X1,X2) ),
inference(cnf_transformation,[],[f10156]) ).
fof(f13708,plain,
! [X2,X0,X1,X4] :
( ~ m1_subset_1(X1,X0)
| ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ r2_binop_1(X0,X1,X2)
| ~ m1_subset_1(X4,X0)
| k1_binop_1(X2,X4,X1) = X4 ),
inference(cnf_transformation,[],[f10159]) ).
fof(f13709,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X1,X0)
| ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| m1_subset_1(sK545(X0,X1,X2),X0)
| r2_binop_1(X0,X1,X2) ),
inference(cnf_transformation,[],[f10159]) ).
fof(f13710,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X1,X0)
| ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| sK545(X0,X1,X2) != k1_binop_1(X2,sK545(X0,X1,X2),X1)
| r2_binop_1(X0,X1,X2) ),
inference(cnf_transformation,[],[f10159]) ).
fof(f13711,plain,
! [X2,X3,X0,X1,X4,X5] :
( v1_xboole_0(X0)
| v1_xboole_0(X1)
| ~ m1_subset_1(X2,X0)
| ~ m1_subset_1(X3,X1)
| ~ m2_relset_1(X4,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X4,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X4)
| ~ m2_relset_1(X5,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X5,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X5)
| ~ r1_binop_1(X1,X3,X5)
| ~ r1_binop_1(X0,X2,X4)
| r1_binop_1(k2_zfmisc_1(X0,X1),k1_domain_1(X0,X1,X2,X3),k7_filter_1(X0,X1,X4,X5)) ),
inference(cnf_transformation,[],[f10161]) ).
fof(f13712,plain,
! [X2,X3,X0,X1,X4,X5] :
( v1_xboole_0(X0)
| v1_xboole_0(X1)
| ~ m1_subset_1(X2,X0)
| ~ m1_subset_1(X3,X1)
| ~ m2_relset_1(X4,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X4,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X4)
| ~ m2_relset_1(X5,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X5,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X5)
| ~ r1_binop_1(k2_zfmisc_1(X0,X1),k1_domain_1(X0,X1,X2,X3),k7_filter_1(X0,X1,X4,X5))
| r1_binop_1(X1,X3,X5) ),
inference(cnf_transformation,[],[f10161]) ).
fof(f13713,plain,
! [X2,X3,X0,X1,X4,X5] :
( v1_xboole_0(X0)
| v1_xboole_0(X1)
| ~ m1_subset_1(X2,X0)
| ~ m1_subset_1(X3,X1)
| ~ m2_relset_1(X4,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X4,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X4)
| ~ m2_relset_1(X5,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X5,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X5)
| ~ r1_binop_1(k2_zfmisc_1(X0,X1),k1_domain_1(X0,X1,X2,X3),k7_filter_1(X0,X1,X4,X5))
| r1_binop_1(X0,X2,X4) ),
inference(cnf_transformation,[],[f10161]) ).
fof(f13714,plain,
! [X2,X0,X1,X4] :
( v1_xboole_0(X0)
| ~ m1_subset_1(X1,X0)
| ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ r1_binop_1(X0,X1,X2)
| ~ m1_subset_1(X4,X0)
| k2_binop_1(X0,X0,X0,X2,X1,X4) = X4 ),
inference(cnf_transformation,[],[f10164]) ).
fof(f13715,plain,
! [X2,X0,X1] :
( v1_xboole_0(X0)
| ~ m1_subset_1(X1,X0)
| ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| m1_subset_1(sK546(X0,X1,X2),X0)
| r1_binop_1(X0,X1,X2) ),
inference(cnf_transformation,[],[f10164]) ).
fof(f13716,plain,
! [X2,X0,X1] :
( v1_xboole_0(X0)
| ~ m1_subset_1(X1,X0)
| ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| sK546(X0,X1,X2) != k2_binop_1(X0,X0,X0,X2,X1,sK546(X0,X1,X2))
| r1_binop_1(X0,X1,X2) ),
inference(cnf_transformation,[],[f10164]) ).
fof(f13718,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| ~ m1_subset_1(X2,X0)
| ~ v1_binop_1(X1,X0)
| ~ r1_binop_1(X0,X2,X1)
| r3_binop_1(X0,X2,X1) ),
inference(cnf_transformation,[],[f10165]) ).
fof(f13719,plain,
! [X2,X0,X1,X4] :
( ~ m1_subset_1(X1,X0)
| ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ r1_binop_1(X0,X1,X2)
| ~ m1_subset_1(X4,X0)
| k1_binop_1(X2,X1,X4) = X4 ),
inference(cnf_transformation,[],[f10168]) ).
fof(f13720,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X1,X0)
| ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| m1_subset_1(sK547(X0,X1,X2),X0)
| r1_binop_1(X0,X1,X2) ),
inference(cnf_transformation,[],[f10168]) ).
fof(f13721,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X1,X0)
| ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| sK547(X0,X1,X2) != k1_binop_1(X2,X1,sK547(X0,X1,X2))
| r1_binop_1(X0,X1,X2) ),
inference(cnf_transformation,[],[f10168]) ).
fof(f13723,plain,
! [X0] :
( ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| v1_group_6(k6_partfun1(u1_struct_0(X0)),X0,X0) ),
inference(cnf_transformation,[],[f9016]) ).
fof(f13724,plain,
! [X0] :
( ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| v1_funct_2(k6_partfun1(u1_struct_0(X0)),u1_struct_0(X0),u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f9016]) ).
fof(f13726,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| k3_funct_2(X0,X0,k6_partfun1(X0),X1) = X1 ),
inference(cnf_transformation,[],[f9017]) ).
fof(f13730,plain,
! [X0] : v8_relat_2(k6_partfun1(X0)),
inference(cnf_transformation,[],[f3400]) ).
fof(f13731,plain,
! [X0] : v3_relat_2(k6_partfun1(X0)),
inference(cnf_transformation,[],[f3400]) ).
fof(f13732,plain,
! [X0,X1] : k1_funct_4(k6_partfun1(X0),k6_partfun1(X1)) = k6_partfun1(k2_xboole_0(X0,X1)),
inference(cnf_transformation,[],[f2118]) ).
fof(f13733,plain,
! [X0,X1] :
( ~ r1_tarski(k6_partfun1(X0),k6_partfun1(X1))
| r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f10169]) ).
fof(f13734,plain,
! [X0,X1] :
( ~ r1_tarski(X0,X1)
| r1_tarski(k6_partfun1(X0),k6_partfun1(X1)) ),
inference(cnf_transformation,[],[f10169]) ).
fof(f13735,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X2,X0,X1)
| ~ v1_funct_2(X2,X0,X1)
| ~ v1_funct_1(X2)
| ~ v2_funct_1(X2)
| k2_relat_1(X2) != X1
| k6_partfun1(X1) = k5_relat_1(k2_funct_1(X2),X2)
| k1_xboole_0 = X1 ),
inference(cnf_transformation,[],[f9021]) ).
fof(f13736,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X2,X0,X1)
| ~ v1_funct_2(X2,X0,X1)
| ~ v1_funct_1(X2)
| ~ v2_funct_1(X2)
| k2_relat_1(X2) != X1
| k6_partfun1(X0) = k5_relat_1(X2,k2_funct_1(X2))
| k1_xboole_0 = X1 ),
inference(cnf_transformation,[],[f9021]) ).
fof(f13737,plain,
! [X0] : k6_relat_1(X0) = k6_partfun1(X0),
inference(cnf_transformation,[],[f1560]) ).
fof(f13738,plain,
! [X0] : m2_relset_1(k6_partfun1(X0),X0,X0),
inference(cnf_transformation,[],[f1559]) ).
fof(f13739,plain,
! [X0] : v1_partfun1(k6_partfun1(X0),X0,X0),
inference(cnf_transformation,[],[f1559]) ).
fof(f13740,plain,
! [X0] : v3_ordinal1(sK548(X0)),
inference(cnf_transformation,[],[f10170]) ).
fof(f13741,plain,
! [X0] : ~ r2_hidden(sK548(X0),X0),
inference(cnf_transformation,[],[f10170]) ).
fof(f13742,plain,
! [X0] :
( r2_hidden(sK549(X0),X0)
| v3_ordinal1(sK549(X0)) ),
inference(cnf_transformation,[],[f10172]) ).
fof(f13743,plain,
! [X0] :
( ~ r2_hidden(sK549(X0),X0)
| ~ v3_ordinal1(sK549(X0)) ),
inference(cnf_transformation,[],[f10172]) ).
fof(f13744,plain,
! [X0] :
( v3_ordinal1(sK551(X0))
| r2_hidden(sK550(X0),X0) ),
inference(cnf_transformation,[],[f10173]) ).
fof(f13745,plain,
! [X0] :
( r1_tarski(X0,sK551(X0))
| r2_hidden(sK550(X0),X0) ),
inference(cnf_transformation,[],[f10173]) ).
fof(f13746,plain,
! [X0] :
( v3_ordinal1(sK551(X0))
| ~ v3_ordinal1(sK550(X0)) ),
inference(cnf_transformation,[],[f10173]) ).
fof(f13747,plain,
! [X0] :
( r1_tarski(X0,sK551(X0))
| ~ v3_ordinal1(sK550(X0)) ),
inference(cnf_transformation,[],[f10173]) ).
fof(f13748,plain,
! [X0] :
( r2_hidden(sK552(X0),X0)
| v3_ordinal1(X0) ),
inference(cnf_transformation,[],[f10174]) ).
fof(f13749,plain,
! [X0] :
( ~ r1_tarski(sK552(X0),X0)
| ~ v3_ordinal1(sK552(X0))
| v3_ordinal1(X0) ),
inference(cnf_transformation,[],[f10174]) ).
fof(f13750,plain,
v3_ordinal1(k1_xboole_0),
inference(cnf_transformation,[],[f1215]) ).
fof(f13751,plain,
! [X0,X1] :
( ~ v3_ordinal1(X0)
| ~ v3_ordinal1(X1)
| r2_hidden(X1,X0)
| X0 = X1
| r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f9027]) ).
fof(f13752,plain,
! [X0,X1] :
( ~ v3_ordinal1(X1)
| ~ r2_hidden(X0,X1)
| v3_ordinal1(X0) ),
inference(cnf_transformation,[],[f9029]) ).
fof(f13753,plain,
! [X0] :
( ~ v3_ordinal1(X0)
| k4_xboole_0(k1_ordinal1(X0),k1_tarski(X0)) = X0 ),
inference(cnf_transformation,[],[f9030]) ).
fof(f13754,plain,
! [X0] :
( ~ v3_ordinal1(X0)
| r1_tarski(k1_ordinal1(X0),k1_zfmisc_1(X0)) ),
inference(cnf_transformation,[],[f9031]) ).
fof(f13755,plain,
! [X2,X0] :
( ~ v3_ordinal1(X0)
| ~ v4_ordinal1(X0)
| k1_ordinal1(X2) != X0
| ~ v3_ordinal1(X2) ),
inference(cnf_transformation,[],[f10175]) ).
fof(f13756,plain,
! [X0] :
( ~ v3_ordinal1(X0)
| v3_ordinal1(sK553(X0))
| v4_ordinal1(X0) ),
inference(cnf_transformation,[],[f10175]) ).
fof(f13757,plain,
! [X0] :
( ~ v3_ordinal1(X0)
| k1_ordinal1(sK553(X0)) = X0
| v4_ordinal1(X0) ),
inference(cnf_transformation,[],[f10175]) ).
fof(f13758,plain,
! [X2,X0] :
( ~ v3_ordinal1(X0)
| ~ v4_ordinal1(X0)
| ~ v3_ordinal1(X2)
| ~ r2_hidden(X2,X0)
| r2_hidden(k1_ordinal1(X2),X0) ),
inference(cnf_transformation,[],[f10178]) ).
fof(f13759,plain,
! [X0] :
( ~ v3_ordinal1(X0)
| v3_ordinal1(sK554(X0))
| v4_ordinal1(X0) ),
inference(cnf_transformation,[],[f10178]) ).
fof(f13760,plain,
! [X0] :
( ~ v3_ordinal1(X0)
| r2_hidden(sK554(X0),X0)
| v4_ordinal1(X0) ),
inference(cnf_transformation,[],[f10178]) ).
fof(f13761,plain,
! [X0] :
( ~ v3_ordinal1(X0)
| ~ r2_hidden(k1_ordinal1(sK554(X0)),X0)
| v4_ordinal1(X0) ),
inference(cnf_transformation,[],[f10178]) ).
fof(f13762,plain,
! [X0] :
( ~ v3_ordinal1(X0)
| v3_ordinal1(k1_ordinal1(X0)) ),
inference(cnf_transformation,[],[f9035]) ).
fof(f13763,plain,
! [X0] : k1_ordinal1(X0) != X0,
inference(cnf_transformation,[],[f1199]) ).
fof(f13767,plain,
! [X0,X1] :
( k1_ordinal1(X0) != k1_ordinal1(X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f9036]) ).
fof(f13769,plain,
! [X0] : k1_ordinal1(X0) = k2_xboole_0(X0,k1_tarski(X0)),
inference(cnf_transformation,[],[f1192]) ).
fof(f13770,plain,
! [X0] : ~ v1_xboole_0(k1_ordinal1(X0)),
inference(cnf_transformation,[],[f1173]) ).
fof(f13783,plain,
k1_xboole_0 = np__0,
inference(cnf_transformation,[],[f3179]) ).
fof(f13784,plain,
! [X2,X0,X1] :
( ~ v1_int_1(X0)
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| v3_struct_0(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| k1_group_1(X1,X2,k6_group_1(X1,X0,X2)) = k6_group_1(X1,k2_xcmplx_0(X0,np__1),X2) ),
inference(cnf_transformation,[],[f9054]) ).
fof(f13785,plain,
! [X2,X0,X1] :
( ~ v1_int_1(X0)
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| v3_struct_0(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| k1_group_1(X1,k6_group_1(X1,X0,X2),X2) = k6_group_1(X1,k2_xcmplx_0(X0,np__1),X2) ),
inference(cnf_transformation,[],[f9054]) ).
fof(f13786,plain,
! [X2,X3,X0,X1] :
( ~ m2_subset_1(X0,k1_numbers,k5_numbers)
| ~ v1_int_1(X1)
| ~ l1_group_1(X2)
| ~ v4_group_1(X2)
| ~ v3_group_1(X2)
| v3_struct_0(X2)
| ~ m1_subset_1(X3,u1_struct_0(X2))
| k6_group_1(X2,k2_xcmplx_0(X1,X0),X3) = k1_group_1(X2,k6_group_1(X2,X1,X3),k6_group_1(X2,X0,X3)) ),
inference(cnf_transformation,[],[f9056]) ).
fof(f13787,plain,
! [X2,X3,X0,X1] :
( ~ m2_subset_1(X0,k1_numbers,k5_numbers)
| ~ v1_int_1(X1)
| ~ l1_group_1(X2)
| ~ v4_group_1(X2)
| ~ v3_group_1(X2)
| v3_struct_0(X2)
| ~ m1_subset_1(X3,u1_struct_0(X2))
| k1_group_1(X2,k6_group_1(X2,X0,X3),k6_group_1(X2,X1,X3)) = k6_group_1(X2,k2_xcmplx_0(X0,X1),X3) ),
inference(cnf_transformation,[],[f9058]) ).
fof(f13788,plain,
! [X2,X3,X0,X1] :
( ~ v1_int_1(X0)
| ~ v1_int_1(X1)
| ~ l1_group_1(X2)
| ~ v4_group_1(X2)
| ~ v3_group_1(X2)
| v3_struct_0(X2)
| ~ m1_subset_1(X3,u1_struct_0(X2))
| k1_group_1(X2,k6_group_1(X2,X0,X3),k6_group_1(X2,X1,X3)) = k6_group_1(X2,k2_xcmplx_0(X0,X1),X3) ),
inference(cnf_transformation,[],[f9060]) ).
fof(f13789,plain,
! [X2,X0,X1] :
( ~ v1_xreal_0(X0)
| ~ v1_int_1(X1)
| ~ v1_int_1(X2)
| ~ r1_xreal_0(X0,X2)
| ~ r1_xreal_0(X0,X1)
| X1 = X2
| r1_xreal_0(k2_xcmplx_0(X0,np__1),X2)
| r1_xreal_0(k2_xcmplx_0(X0,np__1),X1) ),
inference(cnf_transformation,[],[f9062]) ).
fof(f13790,plain,
! [X0,X1] :
( ~ v1_int_1(X0)
| ~ v1_int_1(X1)
| r1_xreal_0(X1,X0)
| r1_xreal_0(k2_xcmplx_0(X0,np__1),X1) ),
inference(cnf_transformation,[],[f9064]) ).
fof(f13791,plain,
! [X2,X0,X1] :
( ~ m2_subset_1(X0,k1_numbers,k5_numbers)
| ~ v1_int_1(X1)
| ~ v1_int_1(X2)
| k2_xcmplx_0(X1,X0) != X2
| r1_xreal_0(X1,X2) ),
inference(cnf_transformation,[],[f9066]) ).
fof(f13792,plain,
! [X0] :
( ~ v1_xreal_0(X0)
| ~ v1_int_1(X0)
| v1_int_1(k6_xcmplx_0(X0,np__1)) ),
inference(cnf_transformation,[],[f9068]) ).
fof(f13793,plain,
! [X0] :
( ~ v1_xreal_0(X0)
| ~ v1_int_1(X0)
| v1_int_1(k2_xcmplx_0(X0,np__1)) ),
inference(cnf_transformation,[],[f9068]) ).
fof(f13794,plain,
! [X0,X1] :
( ~ v1_int_1(X1)
| ~ m1_subset_1(X0,k5_numbers)
| v1_int_1(k2_xcmplx_0(X1,X0)) ),
inference(cnf_transformation,[],[f9070]) ).
fof(f13795,plain,
! [X0,X1] :
( ~ v1_int_1(X1)
| ~ m1_subset_1(X0,k5_numbers)
| v1_xreal_0(k2_xcmplx_0(X1,X0)) ),
inference(cnf_transformation,[],[f9070]) ).
fof(f13796,plain,
! [X0,X1] :
( ~ v1_int_1(X1)
| ~ m1_subset_1(X0,k5_numbers)
| v1_xcmplx_0(k2_xcmplx_0(X1,X0)) ),
inference(cnf_transformation,[],[f9070]) ).
fof(f13797,plain,
! [X0,X1] :
( ~ v1_int_1(X1)
| ~ v1_int_1(X0)
| v1_int_1(k2_xcmplx_0(X0,X1)) ),
inference(cnf_transformation,[],[f9072]) ).
fof(f13798,plain,
! [X0,X1] :
( ~ v1_int_1(X1)
| ~ v1_int_1(X0)
| v1_xreal_0(k2_xcmplx_0(X0,X1)) ),
inference(cnf_transformation,[],[f9072]) ).
fof(f13799,plain,
! [X0,X1] :
( ~ v1_int_1(X1)
| ~ v1_int_1(X0)
| v1_xcmplx_0(k2_xcmplx_0(X0,X1)) ),
inference(cnf_transformation,[],[f9072]) ).
fof(f13826,plain,
! [X0,X1] :
( ~ v1_xreal_0(X1)
| ~ v1_xreal_0(X0)
| v1_xreal_0(k2_xcmplx_0(X0,X1)) ),
inference(cnf_transformation,[],[f9086]) ).
fof(f13827,plain,
! [X0,X1] :
( ~ v1_xreal_0(X1)
| ~ v1_xreal_0(X0)
| v1_xcmplx_0(k2_xcmplx_0(X0,X1)) ),
inference(cnf_transformation,[],[f9086]) ).
fof(f13828,plain,
! [X0] : m2_finseq_1(sK556(X0),X0),
inference(cnf_transformation,[],[f10182]) ).
fof(f13829,plain,
! [X0] : m2_finseq_1(k1_xboole_0,X0),
inference(cnf_transformation,[],[f3283]) ).
fof(f13830,plain,
! [X0,X1] :
( ~ l1_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| v3_struct_0(X0)
| ~ m2_finseq_1(X1,u1_struct_0(X0))
| np__1 != k3_finseq_1(X1)
| k1_funct_1(X1,np__1) = k9_rlvect_1(X0,X1) ),
inference(cnf_transformation,[],[f9088]) ).
fof(f13831,plain,
! [X0,X1] :
( ~ l1_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| v3_struct_0(X0)
| ~ m2_finseq_1(X1,u1_struct_0(X0))
| np__0 != k3_finseq_1(X1)
| k1_rlvect_1(X0) = k9_rlvect_1(X0,X1) ),
inference(cnf_transformation,[],[f9090]) ).
fof(f13832,plain,
! [X0] : v4_finsub_1(k5_finsub_1(X0)),
inference(cnf_transformation,[],[f2429]) ).
fof(f13833,plain,
! [X3,X0,X1] :
( ~ v4_finsub_1(X1)
| k5_finsub_1(X0) != X1
| ~ r2_hidden(X3,X1)
| v1_finset_1(X3) ),
inference(cnf_transformation,[],[f10186]) ).
fof(f13834,plain,
! [X3,X0,X1] :
( ~ v4_finsub_1(X1)
| k5_finsub_1(X0) != X1
| ~ r2_hidden(X3,X1)
| r1_tarski(X3,X0) ),
inference(cnf_transformation,[],[f10186]) ).
fof(f13835,plain,
! [X3,X0,X1] :
( ~ v4_finsub_1(X1)
| k5_finsub_1(X0) != X1
| ~ v1_finset_1(X3)
| ~ r1_tarski(X3,X0)
| r2_hidden(X3,X1) ),
inference(cnf_transformation,[],[f10186]) ).
fof(f13836,plain,
! [X0,X1] :
( ~ v4_finsub_1(X1)
| r2_hidden(sK557(X0,X1),X1)
| v1_finset_1(sK557(X0,X1))
| k5_finsub_1(X0) = X1 ),
inference(cnf_transformation,[],[f10186]) ).
fof(f13837,plain,
! [X0,X1] :
( ~ v4_finsub_1(X1)
| r2_hidden(sK557(X0,X1),X1)
| r1_tarski(sK557(X0,X1),X0)
| k5_finsub_1(X0) = X1 ),
inference(cnf_transformation,[],[f10186]) ).
fof(f13838,plain,
! [X0,X1] :
( ~ v4_finsub_1(X1)
| ~ r2_hidden(sK557(X0,X1),X1)
| ~ v1_finset_1(sK557(X0,X1))
| ~ r1_tarski(sK557(X0,X1),X0)
| k5_finsub_1(X0) = X1 ),
inference(cnf_transformation,[],[f10186]) ).
fof(f13839,plain,
! [X0,X1] :
( ~ v4_finsub_1(X0)
| v1_xboole_0(X0)
| ~ v4_finsub_1(X1)
| v1_xboole_0(X1)
| v4_finsub_1(k3_xboole_0(X0,X1)) ),
inference(cnf_transformation,[],[f9093]) ).
fof(f13840,plain,
! [X0,X1] :
( ~ v4_finsub_1(X0)
| v1_xboole_0(X0)
| ~ v4_finsub_1(X1)
| v1_xboole_0(X1)
| ~ v1_xboole_0(k3_xboole_0(X0,X1)) ),
inference(cnf_transformation,[],[f9093]) ).
fof(f13841,plain,
! [X0] : v4_finsub_1(k1_zfmisc_1(X0)),
inference(cnf_transformation,[],[f2400]) ).
fof(f13842,plain,
! [X0] :
( ~ v4_finsub_1(X0)
| v1_xboole_0(X0)
| r2_hidden(k1_xboole_0,X0) ),
inference(cnf_transformation,[],[f9095]) ).
fof(f13843,plain,
! [X2,X0,X1] :
( ~ v4_finsub_1(X2)
| v1_xboole_0(X2)
| ~ m1_subset_1(X1,X2)
| ~ m1_subset_1(X0,X2)
| m1_subset_1(k3_xboole_0(X0,X1),X2) ),
inference(cnf_transformation,[],[f9097]) ).
fof(f13844,plain,
! [X3,X0,X4] :
( ~ v4_finsub_1(X0)
| ~ r2_hidden(X4,X0)
| ~ r2_hidden(X3,X0)
| r2_hidden(k4_xboole_0(X3,X4),X0) ),
inference(cnf_transformation,[],[f10189]) ).
fof(f13845,plain,
! [X3,X0,X4] :
( ~ v4_finsub_1(X0)
| ~ r2_hidden(X4,X0)
| ~ r2_hidden(X3,X0)
| r2_hidden(k2_xboole_0(X3,X4),X0) ),
inference(cnf_transformation,[],[f10189]) ).
fof(f13846,plain,
! [X0] :
( r2_hidden(sK559(X0),X0)
| v4_finsub_1(X0) ),
inference(cnf_transformation,[],[f10189]) ).
fof(f13847,plain,
! [X0] :
( r2_hidden(sK558(X0),X0)
| v4_finsub_1(X0) ),
inference(cnf_transformation,[],[f10189]) ).
fof(f13848,plain,
! [X0] :
( ~ r2_hidden(k4_xboole_0(sK558(X0),sK559(X0)),X0)
| ~ r2_hidden(k2_xboole_0(sK558(X0),sK559(X0)),X0)
| v4_finsub_1(X0) ),
inference(cnf_transformation,[],[f10189]) ).
fof(f13849,plain,
! [X2,X3,X0,X1] : v1_finset_1(k2_enumset1(X0,X1,X2,X3)),
inference(cnf_transformation,[],[f2321]) ).
fof(f13850,plain,
! [X2,X3,X0,X1] : k2_zfmisc_1(k2_tarski(X0,X1),k2_tarski(X2,X3)) = k2_enumset1(k4_tarski(X0,X2),k4_tarski(X0,X3),k4_tarski(X1,X2),k4_tarski(X1,X3)),
inference(cnf_transformation,[],[f1587]) ).
fof(f13851,plain,
! [X2,X3,X0,X1,X4] :
( ~ m1_subset_1(X1,X0)
| ~ m1_subset_1(X2,X0)
| ~ m1_subset_1(X3,X0)
| ~ m1_subset_1(X4,X0)
| k1_xboole_0 = X0
| m1_subset_1(k2_enumset1(X1,X2,X3,X4),k1_zfmisc_1(X0)) ),
inference(cnf_transformation,[],[f9101]) ).
fof(f13852,plain,
! [X2,X3,X0,X1] : k2_enumset1(X0,X1,X2,X3) = k2_enumset1(X3,X2,X1,X0),
inference(cnf_transformation,[],[f314]) ).
fof(f13853,plain,
! [X2,X3,X0,X1] : k2_enumset1(X0,X1,X2,X3) = k2_enumset1(X3,X1,X2,X0),
inference(cnf_transformation,[],[f312]) ).
fof(f13854,plain,
! [X2,X3,X0,X1] : k2_enumset1(X0,X1,X2,X3) = k2_enumset1(X2,X3,X1,X0),
inference(cnf_transformation,[],[f308]) ).
fof(f13855,plain,
! [X2,X3,X0,X1] : k2_enumset1(X0,X1,X2,X3) = k2_enumset1(X2,X3,X0,X1),
inference(cnf_transformation,[],[f307]) ).
fof(f13856,plain,
! [X2,X3,X0,X1] : k2_enumset1(X0,X1,X2,X3) = k2_enumset1(X2,X1,X3,X0),
inference(cnf_transformation,[],[f306]) ).
fof(f13857,plain,
! [X2,X3,X0,X1] : k2_enumset1(X0,X1,X2,X3) = k2_enumset1(X2,X1,X0,X3),
inference(cnf_transformation,[],[f305]) ).
fof(f13858,plain,
! [X2,X3,X0,X1] : k2_enumset1(X0,X1,X2,X3) = k2_enumset1(X1,X3,X2,X0),
inference(cnf_transformation,[],[f302]) ).
fof(f13859,plain,
! [X2,X3,X0,X1] : k2_enumset1(X0,X1,X2,X3) = k2_enumset1(X1,X3,X0,X2),
inference(cnf_transformation,[],[f301]) ).
fof(f13860,plain,
! [X2,X3,X0,X1] : k2_enumset1(X0,X1,X2,X3) = k2_enumset1(X1,X2,X3,X0),
inference(cnf_transformation,[],[f300]) ).
fof(f13861,plain,
! [X2,X3,X0,X1] : k2_enumset1(X0,X1,X2,X3) = k2_enumset1(X1,X2,X0,X3),
inference(cnf_transformation,[],[f299]) ).
fof(f13862,plain,
! [X2,X3,X0,X1] : k2_enumset1(X0,X1,X2,X3) = k2_enumset1(X1,X0,X3,X2),
inference(cnf_transformation,[],[f298]) ).
fof(f13863,plain,
! [X2,X3,X0,X1] : k2_enumset1(X0,X1,X2,X3) = k2_enumset1(X1,X0,X2,X3),
inference(cnf_transformation,[],[f297]) ).
fof(f13864,plain,
! [X2,X3,X0,X1] : k2_enumset1(X0,X1,X2,X3) = k2_enumset1(X0,X3,X2,X1),
inference(cnf_transformation,[],[f296]) ).
fof(f13865,plain,
! [X2,X3,X0,X1] : k2_enumset1(X0,X1,X2,X3) = k2_enumset1(X0,X2,X3,X1),
inference(cnf_transformation,[],[f294]) ).
fof(f13866,plain,
! [X2,X3,X0,X1] : k2_enumset1(X0,X1,X2,X3) = k2_enumset1(X0,X2,X1,X3),
inference(cnf_transformation,[],[f293]) ).
fof(f13867,plain,
! [X2,X3,X0,X1] : k2_enumset1(X0,X1,X2,X3) = k2_enumset1(X0,X1,X3,X2),
inference(cnf_transformation,[],[f292]) ).
fof(f13869,plain,
! [X0,X1] : k2_tarski(X0,X1) = k2_enumset1(X0,X0,X0,X1),
inference(cnf_transformation,[],[f266]) ).
fof(f13870,plain,
! [X2,X3,X0,X1] : k2_enumset1(X0,X1,X2,X3) = k2_xboole_0(k2_tarski(X0,X1),k2_tarski(X2,X3)),
inference(cnf_transformation,[],[f234]) ).
fof(f13881,plain,
! [X2,X3,X0,X1,X4] :
( k2_enumset1(X0,X1,X2,X3) != X4
| sP33(X0,X1,X2,X3,X4) ),
inference(cnf_transformation,[],[f10194]) ).
fof(f13882,plain,
! [X2,X3,X0,X1,X4] :
( ~ sP33(X0,X1,X2,X3,X4)
| k2_enumset1(X0,X1,X2,X3) = X4 ),
inference(cnf_transformation,[],[f10194]) ).
fof(f13883,plain,
! [X0] :
( ~ v1_membered(X0)
| r1_tarski(X0,k2_numbers) ),
inference(cnf_transformation,[],[f9103]) ).
fof(f13884,plain,
v1_membered(k2_numbers),
inference(cnf_transformation,[],[f3002]) ).
fof(f13886,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(k2_numbers))
| v1_membered(X0) ),
inference(cnf_transformation,[],[f9104]) ).
fof(f13887,plain,
k2_numbers != k5_numbers,
inference(cnf_transformation,[],[f2668]) ).
fof(f13888,plain,
k1_numbers != k2_numbers,
inference(cnf_transformation,[],[f2659]) ).
fof(f13889,plain,
r1_tarski(k5_numbers,k2_numbers),
inference(cnf_transformation,[],[f2658]) ).
fof(f13890,plain,
r1_tarski(k1_numbers,k2_numbers),
inference(cnf_transformation,[],[f2649]) ).
fof(f13891,plain,
~ v1_xboole_0(k2_numbers),
inference(cnf_transformation,[],[f2633]) ).
fof(f13892,plain,
! [X0,X1] :
( ~ v1_finset_1(X1)
| k1_card_1(X0) = k1_card_1(k2_zfmisc_1(X0,X1))
| k1_xboole_0 = X1
| v1_finset_1(X0) ),
inference(cnf_transformation,[],[f9106]) ).
fof(f13893,plain,
! [X0,X1] :
( ~ v1_finset_1(X1)
| r2_wellord2(k2_zfmisc_1(X0,X1),X0)
| k1_xboole_0 = X1
| v1_finset_1(X0) ),
inference(cnf_transformation,[],[f9106]) ).
fof(f13894,plain,
! [X0] :
( v1_finset_1(X0)
| k1_card_1(X0) = k1_card_1(k2_zfmisc_1(X0,X0)) ),
inference(cnf_transformation,[],[f9107]) ).
fof(f13895,plain,
! [X0] :
( v1_finset_1(X0)
| r2_wellord2(k2_zfmisc_1(X0,X0),X0) ),
inference(cnf_transformation,[],[f9107]) ).
fof(f13896,plain,
! [X0,X1] :
( k1_card_1(X0) = k1_card_1(k2_xboole_0(X0,X1))
| ~ r1_tarski(k1_card_1(X1),k1_card_1(X0))
| v1_finset_1(X0) ),
inference(cnf_transformation,[],[f9108]) ).
fof(f13897,plain,
! [X0,X1] :
( r2_wellord2(k2_xboole_0(X0,X1),X0)
| ~ r1_tarski(k1_card_1(X1),k1_card_1(X0))
| v1_finset_1(X0) ),
inference(cnf_transformation,[],[f9108]) ).
fof(f13898,plain,
! [X0,X1] :
( k1_card_1(X0) = k1_card_1(k2_xboole_0(X0,X1))
| ~ r2_hidden(k1_card_1(X1),k1_card_1(X0))
| v1_finset_1(X0) ),
inference(cnf_transformation,[],[f9108]) ).
fof(f13899,plain,
! [X0,X1] :
( r2_wellord2(k2_xboole_0(X0,X1),X0)
| ~ r2_hidden(k1_card_1(X1),k1_card_1(X0))
| v1_finset_1(X0) ),
inference(cnf_transformation,[],[f9108]) ).
fof(f13900,plain,
! [X0,X1] :
( ~ v1_finset_1(X1)
| k1_card_1(X0) = k1_card_1(k2_xboole_0(X0,X1))
| v1_finset_1(X0) ),
inference(cnf_transformation,[],[f9110]) ).
fof(f13901,plain,
! [X0,X1] :
( ~ v1_finset_1(X1)
| r2_wellord2(k2_xboole_0(X0,X1),X0)
| v1_finset_1(X0) ),
inference(cnf_transformation,[],[f9110]) ).
fof(f13902,plain,
! [X0,X1] :
( k1_card_1(X0) = k1_card_1(k2_xboole_0(X0,X1))
| ~ r2_wellord2(X1,X0)
| v1_finset_1(X0) ),
inference(cnf_transformation,[],[f9111]) ).
fof(f13903,plain,
! [X0,X1] :
( r2_wellord2(k2_xboole_0(X0,X1),X0)
| ~ r2_wellord2(X1,X0)
| v1_finset_1(X0) ),
inference(cnf_transformation,[],[f9111]) ).
fof(f13904,plain,
! [X0,X1] :
( k1_card_1(X0) = k1_card_1(k2_xboole_0(X0,X1))
| ~ r2_wellord2(X0,X1)
| v1_finset_1(X0) ),
inference(cnf_transformation,[],[f9111]) ).
fof(f13905,plain,
! [X0,X1] :
( r2_wellord2(k2_xboole_0(X0,X1),X0)
| ~ r2_wellord2(X0,X1)
| v1_finset_1(X0) ),
inference(cnf_transformation,[],[f9111]) ).
fof(f13906,plain,
! [X0,X1] :
( ~ m2_subset_1(X0,k1_numbers,k5_numbers)
| ~ v3_ordinal1(X1)
| ~ r2_wellord2(X1,X0)
| X0 = X1 ),
inference(cnf_transformation,[],[f9113]) ).
fof(f13907,plain,
! [X2,X0,X1] :
( X0 = X1
| k1_card_1(k1_funct_2(k2_tarski(X0,X1),X2)) = k1_card_1(k2_zfmisc_1(X2,X2)) ),
inference(cnf_transformation,[],[f9114]) ).
fof(f13908,plain,
! [X2,X0,X1] :
( X0 = X1
| r2_wellord2(k1_funct_2(k2_tarski(X0,X1),X2),k2_zfmisc_1(X2,X2)) ),
inference(cnf_transformation,[],[f9114]) ).
fof(f13909,plain,
! [X2,X0,X1] :
( X0 = X1
| k1_card_1(k1_funct_2(X2,k2_tarski(X0,X1))) = k1_card_1(k1_zfmisc_1(X2)) ),
inference(cnf_transformation,[],[f9115]) ).
fof(f13910,plain,
! [X2,X0,X1] :
( X0 = X1
| r2_wellord2(k1_funct_2(X2,k2_tarski(X0,X1)),k1_zfmisc_1(X2)) ),
inference(cnf_transformation,[],[f9115]) ).
fof(f13911,plain,
! [X2,X0,X1] : k1_card_1(k1_funct_2(X0,k2_zfmisc_1(X1,X2))) = k1_card_1(k2_zfmisc_1(k1_funct_2(X0,X1),k1_funct_2(X0,X2))),
inference(cnf_transformation,[],[f3544]) ).
fof(f13912,plain,
! [X2,X0,X1] : r2_wellord2(k1_funct_2(X0,k2_zfmisc_1(X1,X2)),k2_zfmisc_1(k1_funct_2(X0,X1),k1_funct_2(X0,X2))),
inference(cnf_transformation,[],[f3544]) ).
fof(f13913,plain,
! [X2,X0,X1] : k1_card_1(k1_funct_2(k2_zfmisc_1(X0,X1),X2)) = k1_card_1(k1_funct_2(X0,k1_funct_2(X1,X2))),
inference(cnf_transformation,[],[f3543]) ).
fof(f13914,plain,
! [X2,X0,X1] : r2_wellord2(k1_funct_2(k2_zfmisc_1(X0,X1),X2),k1_funct_2(X0,k1_funct_2(X1,X2))),
inference(cnf_transformation,[],[f3543]) ).
fof(f13915,plain,
! [X2,X0,X1] :
( ~ r1_xboole_0(X0,X1)
| k1_card_1(k1_funct_2(k2_xboole_0(X0,X1),X2)) = k1_card_1(k2_zfmisc_1(k1_funct_2(X0,X2),k1_funct_2(X1,X2))) ),
inference(cnf_transformation,[],[f9116]) ).
fof(f13916,plain,
! [X2,X0,X1] :
( ~ r1_xboole_0(X0,X1)
| r2_wellord2(k1_funct_2(k2_xboole_0(X0,X1),X2),k2_zfmisc_1(k1_funct_2(X0,X2),k1_funct_2(X1,X2))) ),
inference(cnf_transformation,[],[f9116]) ).
fof(f13917,plain,
! [X2,X3,X0,X1] :
( ~ r2_wellord2(X2,X3)
| ~ r2_wellord2(X0,X1)
| k1_card_1(k1_funct_2(X0,X2)) = k1_card_1(k1_funct_2(X1,X3)) ),
inference(cnf_transformation,[],[f9118]) ).
fof(f13918,plain,
! [X2,X3,X0,X1] :
( ~ r2_wellord2(X2,X3)
| ~ r2_wellord2(X0,X1)
| r2_wellord2(k1_funct_2(X0,X2),k1_funct_2(X1,X3)) ),
inference(cnf_transformation,[],[f9118]) ).
fof(f13919,plain,
! [X0,X1] : k1_card_1(X0) = k1_card_1(k1_funct_2(k1_tarski(X1),X0)),
inference(cnf_transformation,[],[f3538]) ).
fof(f13920,plain,
! [X0,X1] : r2_wellord2(X0,k1_funct_2(k1_tarski(X1),X0)),
inference(cnf_transformation,[],[f3538]) ).
fof(f13921,plain,
! [X0] :
( m2_subset_1(sK561(X0),k1_numbers,k5_numbers)
| ~ v1_finset_1(X0) ),
inference(cnf_transformation,[],[f10195]) ).
fof(f13922,plain,
! [X0] :
( r2_wellord2(X0,sK561(X0))
| ~ v1_finset_1(X0) ),
inference(cnf_transformation,[],[f10195]) ).
fof(f13923,plain,
! [X0,X1] :
( ~ v1_finset_1(X0)
| ~ r2_wellord2(X0,X1)
| v1_finset_1(X1) ),
inference(cnf_transformation,[],[f9121]) ).
fof(f13924,plain,
! [X0,X1] :
( ~ m2_subset_1(X0,k1_numbers,k5_numbers)
| ~ m2_subset_1(X1,k1_numbers,k5_numbers)
| ~ r2_wellord2(X0,X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f9123]) ).
fof(f13925,plain,
! [X2,X3,X0,X1] :
( ~ r2_hidden(X3,X1)
| ~ r2_hidden(X2,X0)
| ~ r2_wellord2(X0,X1)
| r2_wellord2(k4_xboole_0(X0,k1_tarski(X2)),k4_xboole_0(X1,k1_tarski(X3))) ),
inference(cnf_transformation,[],[f9125]) ).
fof(f13926,plain,
! [X0,X1] :
( ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ~ v2_funct_1(X1)
| ~ r1_tarski(X0,k1_relat_1(X1))
| r2_wellord2(X0,k9_relat_1(X1,X0)) ),
inference(cnf_transformation,[],[f9127]) ).
fof(f13927,plain,
! [X2,X0,X1] :
( ~ r2_hidden(X2,X1)
| ~ r2_hidden(X0,X1)
| r2_wellord2(k4_xboole_0(X1,k1_tarski(X0)),k4_xboole_0(X1,k1_tarski(X2))) ),
inference(cnf_transformation,[],[f9129]) ).
fof(f13928,plain,
! [X2,X3,X0,X1] :
( ~ r2_wellord2(X1,X3)
| ~ r2_wellord2(X0,X2)
| ~ r1_xboole_0(X2,X3)
| ~ r1_xboole_0(X0,X1)
| r2_wellord2(k2_xboole_0(X0,X1),k2_xboole_0(X2,X3)) ),
inference(cnf_transformation,[],[f9131]) ).
fof(f13929,plain,
! [X0,X1] :
( ~ r2_wellord2(X0,k1_tarski(X1))
| k1_tarski(sK562(X0)) = X0 ),
inference(cnf_transformation,[],[f10198]) ).
fof(f13930,plain,
! [X2,X0,X1] :
( k1_tarski(X2) != X0
| r2_wellord2(X0,k1_tarski(X1)) ),
inference(cnf_transformation,[],[f10198]) ).
fof(f13931,plain,
! [X0] :
( ~ r2_wellord2(X0,k1_xboole_0)
| k1_xboole_0 = X0 ),
inference(cnf_transformation,[],[f10199]) ).
fof(f13932,plain,
! [X0] :
( k1_xboole_0 != X0
| r2_wellord2(X0,k1_xboole_0) ),
inference(cnf_transformation,[],[f10199]) ).
fof(f13933,plain,
! [X0,X1] :
( ~ r1_tarski(k1_zfmisc_1(X0),X1)
| ~ r2_wellord2(X0,X1) ),
inference(cnf_transformation,[],[f9132]) ).
fof(f13934,plain,
! [X0,X1] :
( ~ r1_tarski(k1_zfmisc_1(X0),X1)
| r2_hidden(k1_card_1(X0),k1_card_1(X1)) ),
inference(cnf_transformation,[],[f9132]) ).
fof(f13935,plain,
! [X2,X0,X1] :
( ~ r2_wellord2(X0,X2)
| ~ r1_tarski(X1,X2)
| ~ r1_tarski(X0,X1)
| r2_wellord2(X1,X2) ),
inference(cnf_transformation,[],[f9134]) ).
fof(f13936,plain,
! [X2,X0,X1] :
( ~ r2_wellord2(X0,X2)
| ~ r1_tarski(X1,X2)
| ~ r1_tarski(X0,X1)
| r2_wellord2(X0,X1) ),
inference(cnf_transformation,[],[f9134]) ).
fof(f13937,plain,
! [X0] : ~ r2_wellord2(X0,k1_zfmisc_1(X0)),
inference(cnf_transformation,[],[f3154]) ).
fof(f13938,plain,
! [X0,X1] :
( ~ r2_wellord2(X0,X1)
| k1_card_1(X0) = k1_card_1(X1) ),
inference(cnf_transformation,[],[f10200]) ).
fof(f13939,plain,
! [X0,X1] :
( k1_card_1(X0) != k1_card_1(X1)
| r2_wellord2(X0,X1) ),
inference(cnf_transformation,[],[f10200]) ).
fof(f13940,plain,
! [X0,X1] :
( ~ v1_card_1(X1)
| k1_card_1(X0) != X1
| r2_wellord2(X0,X1) ),
inference(cnf_transformation,[],[f10201]) ).
fof(f13941,plain,
! [X0,X1] :
( ~ v1_card_1(X1)
| ~ r2_wellord2(X0,X1)
| k1_card_1(X0) = X1 ),
inference(cnf_transformation,[],[f10201]) ).
fof(f13943,plain,
! [X0,X1] :
( ~ v1_card_1(X0)
| ~ v1_card_1(X1)
| ~ r2_wellord2(X0,X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f10202]) ).
fof(f13944,plain,
! [X0] : r2_wellord2(X0,sK563(X0)),
inference(cnf_transformation,[],[f10203]) ).
fof(f13945,plain,
! [X0] : v3_ordinal1(sK563(X0)),
inference(cnf_transformation,[],[f10203]) ).
fof(f13946,plain,
! [X0,X1] :
( v3_ordinal1(sK564(X1))
| X0 != X1
| ~ v3_ordinal1(X1)
| v1_card_1(X0) ),
inference(cnf_transformation,[],[f10204]) ).
fof(f13947,plain,
! [X0,X1] :
( r2_wellord2(sK564(X1),X1)
| X0 != X1
| ~ v3_ordinal1(X1)
| v1_card_1(X0) ),
inference(cnf_transformation,[],[f10204]) ).
fof(f13948,plain,
! [X2,X0,X1] :
( ~ m2_subset_1(X0,k1_numbers,k5_numbers)
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| v3_struct_0(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| k6_group_1(X1,k1_nat_1(X0,np__1),X2) = k1_group_1(X1,X2,k6_group_1(X1,X0,X2)) ),
inference(cnf_transformation,[],[f9139]) ).
fof(f13949,plain,
! [X2,X0,X1] :
( ~ m2_subset_1(X0,k1_numbers,k5_numbers)
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| v3_struct_0(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| k6_group_1(X1,k1_nat_1(X0,np__1),X2) = k1_group_1(X1,k6_group_1(X1,X0,X2),X2) ),
inference(cnf_transformation,[],[f9139]) ).
fof(f13950,plain,
! [X2,X3,X0,X1] :
( ~ m2_subset_1(X0,k1_numbers,k5_numbers)
| ~ m2_subset_1(X1,k1_numbers,k5_numbers)
| ~ l1_group_1(X2)
| ~ v4_group_1(X2)
| ~ v3_group_1(X2)
| v3_struct_0(X2)
| ~ m1_subset_1(X3,u1_struct_0(X2))
| k6_group_1(X2,k1_nat_1(X0,X1),X3) = k1_group_1(X2,k6_group_1(X2,X0,X3),k6_group_1(X2,X1,X3)) ),
inference(cnf_transformation,[],[f9141]) ).
fof(f13951,plain,
! [X2,X3,X0,X1] :
( ~ l1_rlvect_1(X0)
| v3_struct_0(X0)
| ~ m2_finseq_1(X1,u1_struct_0(X0))
| ~ m2_finseq_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X3,u1_struct_0(X0))
| k1_funct_1(X1,k3_finseq_1(X1)) != X3
| k7_relat_1(X1,k4_finseq_1(X2)) != X2
| k3_finseq_1(X1) != k1_nat_1(k3_finseq_1(X2),np__1)
| k9_rlvect_1(X0,X1) = k2_rlvect_1(X0,k9_rlvect_1(X0,X2),X3) ),
inference(cnf_transformation,[],[f9143]) ).
fof(f13952,plain,
! [X2,X0,X1] :
( ~ sP35(X0,X1,X2)
| k9_rlvect_1(X2,X0) != X1
| sP34(X2,X1,X0) ),
inference(cnf_transformation,[],[f10206]) ).
fof(f13953,plain,
! [X2,X0,X1] :
( ~ sP35(X0,X1,X2)
| ~ sP34(X2,X1,X0)
| k9_rlvect_1(X2,X0) = X1 ),
inference(cnf_transformation,[],[f10206]) ).
fof(f13965,plain,
! [X2,X0,X1] :
( ~ l1_rlvect_1(X0)
| v3_struct_0(X0)
| ~ m2_finseq_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| sP35(X1,X2,X0) ),
inference(cnf_transformation,[],[f9268]) ).
fof(f13968,plain,
! [X0,X1] :
( ~ sP37(X0,X1)
| sP36(sK568(X0,X1),sK569(X0,X1)) ),
inference(cnf_transformation,[],[f10214]) ).
fof(f13969,plain,
! [X0,X1] :
( ~ sP37(X0,X1)
| k1_funct_1(sK569(X0,X1),sK568(X0,X1)) = X1 ),
inference(cnf_transformation,[],[f10214]) ).
fof(f13970,plain,
! [X0,X1] :
( ~ sP37(X0,X1)
| k1_funct_1(sK569(X0,X1),np__1) = X0 ),
inference(cnf_transformation,[],[f10214]) ).
fof(f13971,plain,
! [X0,X1] :
( ~ sP37(X0,X1)
| sK568(X0,X1) = k3_finseq_1(sK569(X0,X1)) ),
inference(cnf_transformation,[],[f10214]) ).
fof(f13972,plain,
! [X0,X1] :
( ~ sP37(X0,X1)
| r1_xreal_0(np__1,sK568(X0,X1)) ),
inference(cnf_transformation,[],[f10214]) ).
fof(f13973,plain,
! [X0,X1] :
( ~ sP37(X0,X1)
| v1_finseq_1(sK569(X0,X1)) ),
inference(cnf_transformation,[],[f10214]) ).
fof(f13974,plain,
! [X0,X1] :
( ~ sP37(X0,X1)
| v1_funct_1(sK569(X0,X1)) ),
inference(cnf_transformation,[],[f10214]) ).
fof(f13975,plain,
! [X0,X1] :
( ~ sP37(X0,X1)
| v1_relat_1(sK569(X0,X1)) ),
inference(cnf_transformation,[],[f10214]) ).
fof(f13976,plain,
! [X0,X1] :
( ~ sP37(X0,X1)
| m2_subset_1(sK568(X0,X1),k1_numbers,k5_numbers) ),
inference(cnf_transformation,[],[f10214]) ).
fof(f13977,plain,
! [X2,X3,X0,X1] :
( ~ sP36(X2,X3)
| k1_funct_1(X3,X2) != X1
| k1_funct_1(X3,np__1) != X0
| k3_finseq_1(X3) != X2
| ~ r1_xreal_0(np__1,X2)
| ~ v1_finseq_1(X3)
| ~ v1_funct_1(X3)
| ~ v1_relat_1(X3)
| ~ m2_subset_1(X2,k1_numbers,k5_numbers)
| sP37(X0,X1) ),
inference(cnf_transformation,[],[f10214]) ).
fof(f13988,plain,
! [X2,X0,X1] :
( ~ v1_finseq_1(X0)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ~ v1_finseq_1(X1)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ~ m2_subset_1(X2,k1_numbers,k5_numbers)
| ~ r1_xreal_0(X2,k3_finseq_1(X1))
| ~ r1_xreal_0(np__1,X2)
| k1_funct_1(X1,X2) = k1_funct_1(k7_finseq_1(X0,X1),k1_nat_1(k3_finseq_1(X0),X2)) ),
inference(cnf_transformation,[],[f9149]) ).
fof(f13989,plain,
! [X0,X1] :
( ~ v1_finseq_1(X1)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| k1_funct_1(k7_finseq_1(X1,k9_finseq_1(X0)),k1_nat_1(k3_finseq_1(X1),np__1)) = X0 ),
inference(cnf_transformation,[],[f9151]) ).
fof(f13990,plain,
! [X2,X0,X1] :
( ~ m2_subset_1(X0,k1_numbers,k5_numbers)
| ~ v1_finseq_1(X1)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ~ v1_finseq_1(X2)
| ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| ~ r2_hidden(X0,k4_finseq_1(X1))
| r2_hidden(k1_nat_1(k3_finseq_1(X2),X0),k4_finseq_1(k7_finseq_1(X2,X1))) ),
inference(cnf_transformation,[],[f9153]) ).
fof(f13991,plain,
! [X2,X0,X1] :
( ~ v1_finseq_1(X1)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ~ v1_finseq_1(X2)
| ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| m2_subset_1(sK573(X0,X1,X2),k1_numbers,k5_numbers)
| ~ r2_hidden(X0,k4_finseq_1(X1)) ),
inference(cnf_transformation,[],[f10218]) ).
fof(f13992,plain,
! [X2,X0,X1] :
( ~ v1_finseq_1(X1)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ~ v1_finseq_1(X2)
| ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| r2_hidden(k1_nat_1(k3_finseq_1(X2),sK573(X0,X1,X2)),k4_finseq_1(k7_finseq_1(X2,X1)))
| ~ r2_hidden(X0,k4_finseq_1(X1)) ),
inference(cnf_transformation,[],[f10218]) ).
fof(f13993,plain,
! [X2,X0,X1] :
( ~ v1_finseq_1(X1)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ~ v1_finseq_1(X2)
| ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| sK573(X0,X1,X2) = X0
| ~ r2_hidden(X0,k4_finseq_1(X1)) ),
inference(cnf_transformation,[],[f10218]) ).
fof(f13994,plain,
! [X2,X0,X1] :
( ~ v1_finseq_1(X0)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ~ v1_finseq_1(X1)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ~ m2_subset_1(X2,k1_numbers,k5_numbers)
| m2_subset_1(sK574(X0,X1,X2),k1_numbers,k5_numbers)
| r2_hidden(X2,k4_finseq_1(X0))
| ~ r2_hidden(X2,k4_finseq_1(k7_finseq_1(X0,X1))) ),
inference(cnf_transformation,[],[f10219]) ).
fof(f13995,plain,
! [X2,X0,X1] :
( ~ v1_finseq_1(X0)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ~ v1_finseq_1(X1)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ~ m2_subset_1(X2,k1_numbers,k5_numbers)
| k1_nat_1(k3_finseq_1(X0),sK574(X0,X1,X2)) = X2
| r2_hidden(X2,k4_finseq_1(X0))
| ~ r2_hidden(X2,k4_finseq_1(k7_finseq_1(X0,X1))) ),
inference(cnf_transformation,[],[f10219]) ).
fof(f13996,plain,
! [X2,X0,X1] :
( ~ v1_finseq_1(X0)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ~ v1_finseq_1(X1)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ~ m2_subset_1(X2,k1_numbers,k5_numbers)
| r2_hidden(sK574(X0,X1,X2),k4_finseq_1(X1))
| r2_hidden(X2,k4_finseq_1(X0))
| ~ r2_hidden(X2,k4_finseq_1(k7_finseq_1(X0,X1))) ),
inference(cnf_transformation,[],[f10219]) ).
fof(f13997,plain,
! [X2,X0,X1] :
( ~ v1_finseq_1(X0)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ~ v1_finseq_1(X1)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ~ v4_ordinal2(X2)
| ~ r1_xreal_0(X2,k1_nat_1(k3_finseq_1(X0),k3_finseq_1(X1)))
| ~ r1_xreal_0(k1_nat_1(k3_finseq_1(X0),np__1),X2)
| k1_funct_1(k7_finseq_1(X0,X1),X2) = k1_funct_1(X1,k6_xcmplx_0(X2,k3_finseq_1(X0))) ),
inference(cnf_transformation,[],[f9159]) ).
fof(f13998,plain,
! [X0,X1] :
( ~ v1_finseq_1(X0)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ~ v1_finseq_1(X1)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| k1_nat_1(k3_finseq_1(X0),k3_finseq_1(X1)) = k3_finseq_1(k7_finseq_1(X0,X1)) ),
inference(cnf_transformation,[],[f9161]) ).
fof(f13999,plain,
! [X0] :
( ~ m2_subset_1(X0,k1_numbers,k5_numbers)
| k1_ordinal1(X0) = k1_nat_1(X0,np__1) ),
inference(cnf_transformation,[],[f9162]) ).
fof(f14000,plain,
! [X0,X1] :
( ~ v1_finseq_1(X1)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ~ v1_finseq_1(X0)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| v1_finseq_1(k7_finseq_1(X0,X1)) ),
inference(cnf_transformation,[],[f9164]) ).
fof(f14001,plain,
! [X0,X1] :
( ~ v1_finseq_1(X1)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ~ v1_finseq_1(X0)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| v1_funct_1(k7_finseq_1(X0,X1)) ),
inference(cnf_transformation,[],[f9164]) ).
fof(f14002,plain,
! [X0,X1] :
( ~ v1_finseq_1(X1)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ~ v1_finseq_1(X0)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| v1_relat_1(k7_finseq_1(X0,X1)) ),
inference(cnf_transformation,[],[f9164]) ).
fof(f14003,plain,
! [X2,X0,X1] :
( ~ v1_finseq_1(X0)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ~ v1_finseq_1(X1)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ~ m2_subset_1(X2,k1_numbers,k5_numbers)
| ~ r1_xreal_0(X2,k3_finseq_1(X0))
| ~ r1_xreal_0(np__1,X2)
| k1_funct_1(X0,X2) = k1_funct_1(k7_finseq_1(X0,X1),X2) ),
inference(cnf_transformation,[],[f9166]) ).
fof(f14004,plain,
! [X2,X3,X0,X1] :
( ~ v1_finseq_1(X0)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ~ v1_finseq_1(X1)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ~ v1_finseq_1(X2)
| ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| ~ v1_finseq_1(X3)
| ~ v1_funct_1(X3)
| ~ v1_relat_1(X3)
| v1_finseq_1(sK575(X0,X2))
| ~ r1_xreal_0(k3_finseq_1(X0),k3_finseq_1(X2))
| k7_finseq_1(X0,X1) != k7_finseq_1(X2,X3) ),
inference(cnf_transformation,[],[f10220]) ).
fof(f14005,plain,
! [X2,X3,X0,X1] :
( ~ v1_finseq_1(X0)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ~ v1_finseq_1(X1)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ~ v1_finseq_1(X2)
| ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| ~ v1_finseq_1(X3)
| ~ v1_funct_1(X3)
| ~ v1_relat_1(X3)
| v1_funct_1(sK575(X0,X2))
| ~ r1_xreal_0(k3_finseq_1(X0),k3_finseq_1(X2))
| k7_finseq_1(X0,X1) != k7_finseq_1(X2,X3) ),
inference(cnf_transformation,[],[f10220]) ).
fof(f14006,plain,
! [X2,X3,X0,X1] :
( ~ v1_finseq_1(X0)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ~ v1_finseq_1(X1)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ~ v1_finseq_1(X2)
| ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| ~ v1_finseq_1(X3)
| ~ v1_funct_1(X3)
| ~ v1_relat_1(X3)
| v1_relat_1(sK575(X0,X2))
| ~ r1_xreal_0(k3_finseq_1(X0),k3_finseq_1(X2))
| k7_finseq_1(X0,X1) != k7_finseq_1(X2,X3) ),
inference(cnf_transformation,[],[f10220]) ).
fof(f14007,plain,
! [X2,X3,X0,X1] :
( ~ v1_finseq_1(X0)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ~ v1_finseq_1(X1)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ~ v1_finseq_1(X2)
| ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| ~ v1_finseq_1(X3)
| ~ v1_funct_1(X3)
| ~ v1_relat_1(X3)
| k7_finseq_1(X0,sK575(X0,X2)) = X2
| ~ r1_xreal_0(k3_finseq_1(X0),k3_finseq_1(X2))
| k7_finseq_1(X0,X1) != k7_finseq_1(X2,X3) ),
inference(cnf_transformation,[],[f10220]) ).
fof(f14008,plain,
! [X2,X0,X1] :
( ~ v1_finseq_1(X0)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ~ v1_finseq_1(X1)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ~ m2_finseq_1(k7_finseq_1(X0,X1),X2)
| m2_finseq_1(X1,X2) ),
inference(cnf_transformation,[],[f9170]) ).
fof(f14009,plain,
! [X2,X0,X1] :
( ~ v1_finseq_1(X0)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ~ v1_finseq_1(X1)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ~ m2_finseq_1(k7_finseq_1(X0,X1),X2)
| m2_finseq_1(X0,X2) ),
inference(cnf_transformation,[],[f9170]) ).
fof(f14010,plain,
! [X0,X1] :
( ~ v1_finseq_1(X0)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ~ v1_finseq_1(X1)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| k1_xboole_0 != k7_finseq_1(X0,X1)
| k1_xboole_0 = X1 ),
inference(cnf_transformation,[],[f9172]) ).
fof(f14011,plain,
! [X0,X1] :
( ~ v1_finseq_1(X0)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ~ v1_finseq_1(X1)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| k1_xboole_0 != k7_finseq_1(X0,X1)
| k1_xboole_0 = X0 ),
inference(cnf_transformation,[],[f9172]) ).
fof(f14012,plain,
! [X0] :
( ~ v1_finseq_1(X0)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| k7_finseq_1(k1_xboole_0,X0) = X0 ),
inference(cnf_transformation,[],[f9174]) ).
fof(f14013,plain,
! [X0] :
( ~ v1_finseq_1(X0)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| k7_finseq_1(X0,k1_xboole_0) = X0 ),
inference(cnf_transformation,[],[f9174]) ).
fof(f14014,plain,
! [X2,X0,X1] :
( ~ v1_finseq_1(X0)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ~ v1_finseq_1(X1)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ~ v1_finseq_1(X2)
| ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| k7_finseq_1(X1,X0) != k7_finseq_1(X1,X2)
| X0 = X2 ),
inference(cnf_transformation,[],[f9176]) ).
fof(f14015,plain,
! [X2,X0,X1] :
( ~ v1_finseq_1(X0)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ~ v1_finseq_1(X1)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ~ v1_finseq_1(X2)
| ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| k7_finseq_1(X0,X1) != k7_finseq_1(X2,X1)
| X0 = X2 ),
inference(cnf_transformation,[],[f9176]) ).
fof(f14016,plain,
! [X2,X0,X1] :
( ~ v1_finseq_1(X0)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ~ v1_finseq_1(X1)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ~ v1_finseq_1(X2)
| ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| k7_finseq_1(k7_finseq_1(X0,X1),X2) = k7_finseq_1(X0,k7_finseq_1(X1,X2)) ),
inference(cnf_transformation,[],[f9178]) ).
fof(f14017,plain,
! [X0,X1] :
( ~ v1_finseq_1(X0)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ~ v1_finseq_1(X1)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| k2_xboole_0(k2_relat_1(X0),k2_relat_1(X1)) = k2_relat_1(k7_finseq_1(X0,X1)) ),
inference(cnf_transformation,[],[f9180]) ).
fof(f14018,plain,
! [X0,X1] :
( ~ v1_finseq_1(X0)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ~ v1_finseq_1(X1)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| r1_tarski(k2_relat_1(X0),k2_relat_1(k7_finseq_1(X1,X0))) ),
inference(cnf_transformation,[],[f9182]) ).
fof(f14019,plain,
! [X0,X1] :
( ~ v1_finseq_1(X0)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ~ v1_finseq_1(X1)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| r1_tarski(k2_relat_1(X0),k2_relat_1(k7_finseq_1(X0,X1))) ),
inference(cnf_transformation,[],[f9184]) ).
fof(f14020,plain,
! [X2,X0,X1] :
( ~ v1_finseq_1(X0)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ~ v1_finseq_1(X1)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ~ v4_ordinal2(X2)
| ~ r1_xreal_0(X2,k3_finseq_1(k7_finseq_1(X0,X1)))
| k1_funct_1(k7_finseq_1(X0,X1),X2) = k1_funct_1(X1,k6_xcmplx_0(X2,k3_finseq_1(X0)))
| r1_xreal_0(X2,k3_finseq_1(X0)) ),
inference(cnf_transformation,[],[f9186]) ).
fof(f14022,plain,
! [X0,X1] :
( ~ v1_finseq_1(X1)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| v1_xboole_0(X1)
| ~ v1_finseq_1(X0)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| v1_finset_1(k7_finseq_1(X1,X0)) ),
inference(cnf_transformation,[],[f9188]) ).
fof(f14025,plain,
! [X0,X1] :
( ~ v1_finseq_1(X1)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| v1_xboole_0(X1)
| ~ v1_finseq_1(X0)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ~ v1_xboole_0(k7_finseq_1(X1,X0)) ),
inference(cnf_transformation,[],[f9188]) ).
fof(f14026,plain,
! [X0,X1] :
( ~ v1_finseq_1(X1)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| v1_xboole_0(X1)
| ~ v1_finseq_1(X0)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| v1_finseq_1(k7_finseq_1(X0,X1)) ),
inference(cnf_transformation,[],[f9190]) ).
fof(f14027,plain,
! [X0,X1] :
( ~ v1_finseq_1(X1)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| v1_xboole_0(X1)
| ~ v1_finseq_1(X0)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| v1_finset_1(k7_finseq_1(X0,X1)) ),
inference(cnf_transformation,[],[f9190]) ).
fof(f14028,plain,
! [X0,X1] :
( ~ v1_finseq_1(X1)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| v1_xboole_0(X1)
| ~ v1_finseq_1(X0)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| v1_funct_1(k7_finseq_1(X0,X1)) ),
inference(cnf_transformation,[],[f9190]) ).
fof(f14029,plain,
! [X0,X1] :
( ~ v1_finseq_1(X1)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| v1_xboole_0(X1)
| ~ v1_finseq_1(X0)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| v1_relat_1(k7_finseq_1(X0,X1)) ),
inference(cnf_transformation,[],[f9190]) ).
fof(f14030,plain,
! [X0,X1] :
( ~ v1_finseq_1(X1)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| v1_xboole_0(X1)
| ~ v1_finseq_1(X0)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ~ v1_xboole_0(k7_finseq_1(X0,X1)) ),
inference(cnf_transformation,[],[f9190]) ).
fof(f14031,plain,
! [X2,X0,X1] :
( ~ l1_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0)
| ~ m2_finseq_1(X1,u1_struct_0(X0))
| ~ m2_finseq_1(X2,u1_struct_0(X0))
| m2_subset_1(sK576(X0,X1,X2),k1_numbers,k5_numbers)
| k3_finseq_1(X1) != k3_finseq_1(X2)
| k9_rlvect_1(X0,X1) = k5_rlvect_1(X0,k9_rlvect_1(X0,X2)) ),
inference(cnf_transformation,[],[f10221]) ).
fof(f14032,plain,
! [X2,X0,X1] :
( ~ l1_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0)
| ~ m2_finseq_1(X1,u1_struct_0(X0))
| ~ m2_finseq_1(X2,u1_struct_0(X0))
| m1_subset_1(sK577(X0,X1,X2),u1_struct_0(X0))
| k3_finseq_1(X1) != k3_finseq_1(X2)
| k9_rlvect_1(X0,X1) = k5_rlvect_1(X0,k9_rlvect_1(X0,X2)) ),
inference(cnf_transformation,[],[f10221]) ).
fof(f14033,plain,
! [X2,X0,X1] :
( ~ l1_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0)
| ~ m2_finseq_1(X1,u1_struct_0(X0))
| ~ m2_finseq_1(X2,u1_struct_0(X0))
| sK577(X0,X1,X2) = k1_funct_1(X2,sK576(X0,X1,X2))
| k3_finseq_1(X1) != k3_finseq_1(X2)
| k9_rlvect_1(X0,X1) = k5_rlvect_1(X0,k9_rlvect_1(X0,X2)) ),
inference(cnf_transformation,[],[f10221]) ).
fof(f14034,plain,
! [X2,X0,X1] :
( ~ l1_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0)
| ~ m2_finseq_1(X1,u1_struct_0(X0))
| ~ m2_finseq_1(X2,u1_struct_0(X0))
| r2_hidden(sK576(X0,X1,X2),k4_finseq_1(X1))
| k3_finseq_1(X1) != k3_finseq_1(X2)
| k9_rlvect_1(X0,X1) = k5_rlvect_1(X0,k9_rlvect_1(X0,X2)) ),
inference(cnf_transformation,[],[f10221]) ).
fof(f14035,plain,
! [X2,X0,X1] :
( ~ l1_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0)
| ~ m2_finseq_1(X1,u1_struct_0(X0))
| ~ m2_finseq_1(X2,u1_struct_0(X0))
| k1_funct_1(X1,sK576(X0,X1,X2)) != k5_rlvect_1(X0,sK577(X0,X1,X2))
| k3_finseq_1(X1) != k3_finseq_1(X2)
| k9_rlvect_1(X0,X1) = k5_rlvect_1(X0,k9_rlvect_1(X0,X2)) ),
inference(cnf_transformation,[],[f10221]) ).
fof(f14036,plain,
! [X0] :
( ~ v1_finseq_1(X0)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| k1_relat_1(X0) = k4_finseq_1(X0) ),
inference(cnf_transformation,[],[f9194]) ).
fof(f14037,plain,
! [X0] :
( ~ v1_finseq_1(X0)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| m1_subset_1(k4_finseq_1(X0),k1_zfmisc_1(k5_numbers)) ),
inference(cnf_transformation,[],[f9196]) ).
fof(f14038,plain,
! [X0,X1] :
( ~ v1_finseq_1(X1)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| k9_finseq_1(X0) != X1
| k1_tarski(X0) = k2_relat_1(X1) ),
inference(cnf_transformation,[],[f10223]) ).
fof(f14039,plain,
! [X0,X1] :
( ~ v1_finseq_1(X1)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| k9_finseq_1(X0) != X1
| k2_finseq_1(np__1) = k4_finseq_1(X1) ),
inference(cnf_transformation,[],[f10223]) ).
fof(f14040,plain,
! [X0,X1] :
( ~ v1_finseq_1(X1)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| k1_tarski(X0) != k2_relat_1(X1)
| k2_finseq_1(np__1) != k4_finseq_1(X1)
| k9_finseq_1(X0) = X1 ),
inference(cnf_transformation,[],[f10223]) ).
fof(f14041,plain,
! [X0,X1] :
( ~ v1_finseq_1(X0)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ~ v1_finseq_1(X1)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| r1_tarski(k4_finseq_1(X0),k4_finseq_1(k7_finseq_1(X0,X1))) ),
inference(cnf_transformation,[],[f9200]) ).
fof(f14042,plain,
! [X0,X1] :
( ~ v1_finseq_1(X0)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ~ v1_finseq_1(X1)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| k7_relat_1(k7_finseq_1(X0,X1),k4_finseq_1(X0)) = X0 ),
inference(cnf_transformation,[],[f9202]) ).
fof(f14043,plain,
! [X0] :
( ~ v1_finseq_1(X0)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| k1_xboole_0 != X0
| k1_xboole_0 = k4_finseq_1(X0) ),
inference(cnf_transformation,[],[f10224]) ).
fof(f14044,plain,
! [X0] :
( ~ v1_finseq_1(X0)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| k1_xboole_0 != k4_finseq_1(X0)
| k1_xboole_0 = X0 ),
inference(cnf_transformation,[],[f10224]) ).
fof(f14045,plain,
! [X0,X1] :
( ~ v1_finseq_1(X0)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ~ v1_finseq_1(X1)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| m2_subset_1(sK578(X0,X1),k1_numbers,k5_numbers)
| k4_finseq_1(X1) != k4_finseq_1(X0)
| X0 = X1 ),
inference(cnf_transformation,[],[f10225]) ).
fof(f14046,plain,
! [X0,X1] :
( ~ v1_finseq_1(X0)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ~ v1_finseq_1(X1)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| r2_hidden(sK578(X0,X1),k4_finseq_1(X0))
| k4_finseq_1(X1) != k4_finseq_1(X0)
| X0 = X1 ),
inference(cnf_transformation,[],[f10225]) ).
fof(f14047,plain,
! [X0,X1] :
( ~ v1_finseq_1(X0)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ~ v1_finseq_1(X1)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| k1_funct_1(X0,sK578(X0,X1)) != k1_funct_1(X1,sK578(X0,X1))
| k4_finseq_1(X1) != k4_finseq_1(X0)
| X0 = X1 ),
inference(cnf_transformation,[],[f10225]) ).
fof(f14048,plain,
! [X0,X1] :
( ~ v1_finseq_1(X1)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| m2_subset_1(sK579(X0,X1),k1_numbers,k5_numbers)
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f10226]) ).
fof(f14049,plain,
! [X0,X1] :
( ~ v1_finseq_1(X1)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| k4_tarski(sK579(X0,X1),k1_funct_1(X1,sK579(X0,X1))) = X0
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f10226]) ).
fof(f14050,plain,
! [X0,X1] :
( ~ v1_finseq_1(X1)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| r2_hidden(sK579(X0,X1),k4_finseq_1(X1))
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f10226]) ).
fof(f14051,plain,
! [X0] : k1_tarski(X0) = k2_enumset1(X0,X0,X0,X0),
inference(definition_unfolding,[],[f12861,f12862]) ).
fof(f14052,plain,
! [X0,X1] : k4_tarski(X0,X1) = k2_tarski(k2_tarski(X0,X1),k2_enumset1(X0,X0,X0,X0)),
inference(definition_unfolding,[],[f12936,f14051]) ).
fof(f14053,plain,
! [X0] : np__0 = k1_setwiseo(X0),
inference(definition_unfolding,[],[f13486,f13783]) ).
fof(f14054,plain,
! [X0] : k1_ordinal1(X0) = k3_tarski(k2_tarski(X0,k2_enumset1(X0,X0,X0,X0))),
inference(definition_unfolding,[],[f13769,f12734,f14051]) ).
fof(f14055,plain,
! [X0,X1] : k2_tarski(X0,X1) = k2_enumset1(X0,X0,X0,X1),
inference(definition_unfolding,[],[f12863,f12862]) ).
fof(f14056,plain,
! [X2,X3,X0,X1] : k2_enumset1(X0,X1,X2,X3) = k3_tarski(k2_tarski(k2_enumset1(X0,X0,X1,X2),k2_enumset1(X3,X3,X3,X3))),
inference(definition_unfolding,[],[f12864,f12734,f12862,f14051]) ).
fof(f14057,plain,
! [X0,X1] : k5_xboole_0(X0,X1) = k4_xboole_0(k3_tarski(k2_tarski(X0,X1)),k4_xboole_0(X0,k4_xboole_0(X0,X1))),
inference(definition_unfolding,[],[f12827,f12734,f10579]) ).
fof(f14058,plain,
! [X0,X1] : k4_xboole_0(X0,X1) = k5_xboole_0(X0,k4_xboole_0(X0,k4_xboole_0(X0,X1))),
inference(definition_unfolding,[],[f12828,f10579]) ).
fof(f14059,plain,
! [X0,X1] :
( ~ l1_struct_0(X0)
| v3_struct_0(X0)
| u1_struct_0(X0) != k2_enumset1(X1,X1,X1,X1)
| v3_realset2(X0) ),
inference(definition_unfolding,[],[f10236,f14051]) ).
fof(f14060,plain,
! [X0] :
( ~ l1_struct_0(X0)
| v3_struct_0(X0)
| ~ v3_realset2(X0)
| u1_struct_0(X0) = k2_enumset1(sK42(X0),sK42(X0),sK42(X0),sK42(X0)) ),
inference(definition_unfolding,[],[f10235,f14051]) ).
fof(f14061,plain,
! [X2,X0,X1] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(k6_lopclset(X0)))
| ~ m1_subset_1(X2,u1_struct_0(k6_lopclset(X0)))
| k4_lattices(k6_lopclset(X0),X1,X2) = k4_xboole_0(X1,k4_xboole_0(X1,X2)) ),
inference(definition_unfolding,[],[f10253,f10579]) ).
fof(f14062,plain,
! [X2,X0,X1] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(k6_lopclset(X0)))
| ~ m1_subset_1(X2,u1_struct_0(k6_lopclset(X0)))
| k3_lattices(k6_lopclset(X0),X1,X2) = k3_tarski(k2_tarski(X1,X2)) ),
inference(definition_unfolding,[],[f10254,f12734]) ).
fof(f14063,plain,
! [X2,X0,X1] :
( v1_xboole_0(X0)
| ~ m1_subset_1(X2,X0)
| r1_tarski(k2_zfmisc_1(k2_enumset1(X2,X2,X2,X2),X1),k2_zfmisc_1(X0,X1)) ),
inference(definition_unfolding,[],[f10258,f14051]) ).
fof(f14064,plain,
! [X2,X0,X1] :
( ~ r1_tarski(X0,X2)
| ~ r2_hidden(X1,X2)
| r1_tarski(k3_tarski(k2_tarski(X0,k2_enumset1(X1,X1,X1,X1))),X2) ),
inference(definition_unfolding,[],[f10261,f12734,f14051]) ).
fof(f14065,plain,
! [X2,X0,X1] :
( ~ r1_tarski(k3_tarski(k2_tarski(X0,k2_enumset1(X1,X1,X1,X1))),X2)
| r2_hidden(X1,X2) ),
inference(definition_unfolding,[],[f10260,f12734,f14051]) ).
fof(f14068,plain,
! [X2,X0,X1] :
( X0 != X2
| r2_hidden(X0,k3_tarski(k2_tarski(X1,k2_enumset1(X2,X2,X2,X2)))) ),
inference(definition_unfolding,[],[f10263,f12734,f14051]) ).
fof(f14069,plain,
! [X2,X0,X1] :
( ~ r2_hidden(X0,k3_tarski(k2_tarski(X1,k2_enumset1(X2,X2,X2,X2))))
| X0 = X2
| r2_hidden(X0,X1) ),
inference(definition_unfolding,[],[f10262,f12734,f14051]) ).
fof(f14070,plain,
! [X2,X0,X1] :
( r1_tarski(X0,X1)
| r2_hidden(X2,X0)
| ~ r1_tarski(X0,k3_tarski(k2_tarski(X1,k2_enumset1(X2,X2,X2,X2)))) ),
inference(definition_unfolding,[],[f10265,f12734,f14051]) ).
fof(f14071,plain,
! [X2,X3,X0,X1] :
( ~ m2_relset_1(X2,X0,k2_enumset1(X1,X1,X1,X1))
| ~ v1_funct_2(X2,X0,k2_enumset1(X1,X1,X1,X1))
| ~ v1_funct_1(X2)
| ~ m2_relset_1(X3,X0,k2_enumset1(X1,X1,X1,X1))
| ~ v1_funct_2(X3,X0,k2_enumset1(X1,X1,X1,X1))
| ~ v1_funct_1(X3)
| X2 = X3 ),
inference(definition_unfolding,[],[f10266,f14051,f14051,f14051,f14051]) ).
fof(f14072,plain,
! [X2,X3,X0,X1] :
( ~ m2_relset_1(X3,X0,k2_enumset1(X1,X1,X1,X1))
| ~ v1_funct_2(X3,X0,k2_enumset1(X1,X1,X1,X1))
| ~ v1_funct_1(X3)
| ~ r2_hidden(X2,X0)
| k1_funct_1(X3,X2) = X1 ),
inference(definition_unfolding,[],[f10267,f14051,f14051]) ).
fof(f14073,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X2,k2_enumset1(X0,X0,X0,X0),X1)
| ~ v1_funct_2(X2,k2_enumset1(X0,X0,X0,X0),X1)
| ~ v1_funct_1(X2)
| np__0 = X1
| k2_relat_1(X2) = k2_enumset1(k1_funct_1(X2,X0),k1_funct_1(X2,X0),k1_funct_1(X2,X0),k1_funct_1(X2,X0)) ),
inference(definition_unfolding,[],[f10268,f14051,f13783,f14051,f14051]) ).
fof(f14074,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X2,k2_enumset1(X0,X0,X0,X0),X1)
| ~ v1_funct_2(X2,k2_enumset1(X0,X0,X0,X0),X1)
| ~ v1_funct_1(X2)
| np__0 = X1
| r2_hidden(k1_funct_1(X2,X0),X1) ),
inference(definition_unfolding,[],[f10269,f13783,f14051,f14051]) ).
fof(f14076,plain,
! [X2,X3,X0,X1] :
( ~ v1_funct_1(X3)
| ~ v1_relat_1(X3)
| ~ r2_hidden(k1_funct_1(X3,X0),X2)
| ~ r2_hidden(X0,X1)
| k2_enumset1(X0,X0,X0,X0) != k1_relat_1(X3)
| m2_relset_1(X3,X1,X2) ),
inference(definition_unfolding,[],[f10270,f14051]) ).
fof(f14077,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X2,k2_enumset1(X0,X0,X0,X0),X1)
| ~ v1_funct_1(X2)
| r1_tarski(k2_relat_1(X2),k2_enumset1(k1_funct_1(X2,X0),k1_funct_1(X2,X0),k1_funct_1(X2,X0),k1_funct_1(X2,X0))) ),
inference(definition_unfolding,[],[f10272,f14051,f14051]) ).
fof(f14078,plain,
! [X2,X3,X0,X1] :
( ~ r2_hidden(X3,X1)
| ~ r2_hidden(X2,X0)
| m2_relset_1(k2_enumset1(k2_tarski(k2_tarski(X2,X3),k2_enumset1(X2,X2,X2,X2)),k2_tarski(k2_tarski(X2,X3),k2_enumset1(X2,X2,X2,X2)),k2_tarski(k2_tarski(X2,X3),k2_enumset1(X2,X2,X2,X2)),k2_tarski(k2_tarski(X2,X3),k2_enumset1(X2,X2,X2,X2))),X0,X1) ),
inference(definition_unfolding,[],[f10273,f14051,f14052]) ).
fof(f14079,plain,
! [X2,X0,X1] :
( ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| k2_enumset1(X0,X0,X0,X0) != k2_relat_1(X2)
| k2_enumset1(X0,X0,X0,X0) != k2_relat_1(X1)
| k1_relat_1(X1) != k1_relat_1(X2)
| X1 = X2 ),
inference(definition_unfolding,[],[f10274,f14051,f14051]) ).
fof(f14080,plain,
! [X0,X1] :
( np__0 = X0
| v1_relat_1(sK46(X0,X1)) ),
inference(definition_unfolding,[],[f10278,f13783]) ).
fof(f14081,plain,
! [X0,X1] :
( np__0 = X0
| v1_funct_1(sK46(X0,X1)) ),
inference(definition_unfolding,[],[f10277,f13783]) ).
fof(f14082,plain,
! [X0,X1] :
( np__0 = X0
| k1_relat_1(sK46(X0,X1)) = X0 ),
inference(definition_unfolding,[],[f10276,f13783]) ).
fof(f14083,plain,
! [X0,X1] :
( np__0 = X0
| k2_relat_1(sK46(X0,X1)) = k2_enumset1(X1,X1,X1,X1) ),
inference(definition_unfolding,[],[f10275,f14051,f13783]) ).
fof(f14084,plain,
! [X0,X1] :
( ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| k2_enumset1(X0,X0,X0,X0) != k1_relat_1(X1)
| k2_relat_1(X1) = k2_enumset1(k1_funct_1(X1,X0),k1_funct_1(X1,X0),k1_funct_1(X1,X0),k1_funct_1(X1,X0)) ),
inference(definition_unfolding,[],[f10279,f14051,f14051]) ).
fof(f14085,plain,
! [X2,X0,X1] :
( ~ v1_relat_1(X2)
| k2_enumset1(k2_tarski(k2_tarski(X0,X1),k2_enumset1(X0,X0,X0,X0)),k2_tarski(k2_tarski(X0,X1),k2_enumset1(X0,X0,X0,X0)),k2_tarski(k2_tarski(X0,X1),k2_enumset1(X0,X0,X0,X0)),k2_tarski(k2_tarski(X0,X1),k2_enumset1(X0,X0,X0,X0))) != X2
| k2_enumset1(X0,X0,X0,X0) = k1_relat_1(X2) ),
inference(definition_unfolding,[],[f10281,f14051,f14051,f14052]) ).
fof(f14086,plain,
! [X2,X0,X1] :
( ~ v1_relat_1(X2)
| k2_enumset1(k2_tarski(k2_tarski(X0,X1),k2_enumset1(X0,X0,X0,X0)),k2_tarski(k2_tarski(X0,X1),k2_enumset1(X0,X0,X0,X0)),k2_tarski(k2_tarski(X0,X1),k2_enumset1(X0,X0,X0,X0)),k2_tarski(k2_tarski(X0,X1),k2_enumset1(X0,X0,X0,X0))) != X2
| k2_relat_1(X2) = k2_enumset1(X1,X1,X1,X1) ),
inference(definition_unfolding,[],[f10280,f14051,f14051,f14052]) ).
fof(f14087,plain,
! [X0,X1] : v1_relat_1(k2_enumset1(k2_tarski(k2_tarski(X0,X1),k2_enumset1(X0,X0,X0,X0)),k2_tarski(k2_tarski(X0,X1),k2_enumset1(X0,X0,X0,X0)),k2_tarski(k2_tarski(X0,X1),k2_enumset1(X0,X0,X0,X0)),k2_tarski(k2_tarski(X0,X1),k2_enumset1(X0,X0,X0,X0)))),
inference(definition_unfolding,[],[f10282,f14051,f14052]) ).
fof(f14088,plain,
! [X0,X1] :
( ~ r2_hidden(X0,X1)
| m1_subset_1(k2_enumset1(X0,X0,X0,X0),k1_zfmisc_1(X1)) ),
inference(definition_unfolding,[],[f10283,f14051]) ).
fof(f14089,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,X0)
| np__0 = X0
| m1_subset_1(k2_enumset1(X1,X1,X1,X1),k1_zfmisc_1(X0)) ),
inference(definition_unfolding,[],[f10284,f14051,f13783]) ).
fof(f14091,plain,
! [X0,X1] :
( np__0 = X0
| np__0 != k2_zfmisc_1(k2_enumset1(X1,X1,X1,X1),X0) ),
inference(definition_unfolding,[],[f10287,f13783,f14051,f13783]) ).
fof(f14092,plain,
! [X0,X1] :
( np__0 = X0
| np__0 != k2_zfmisc_1(X0,k2_enumset1(X1,X1,X1,X1)) ),
inference(definition_unfolding,[],[f10286,f13783,f14051,f13783]) ).
fof(f14093,plain,
! [X2,X3,X0,X1] :
( X1 != X3
| ~ r2_hidden(X0,X2)
| r2_hidden(k2_tarski(k2_tarski(X0,X1),k2_enumset1(X0,X0,X0,X0)),k2_zfmisc_1(X2,k2_enumset1(X3,X3,X3,X3))) ),
inference(definition_unfolding,[],[f10290,f14052,f14051]) ).
fof(f14095,plain,
! [X2,X3,X0,X1] :
( ~ r2_hidden(k2_tarski(k2_tarski(X0,X1),k2_enumset1(X0,X0,X0,X0)),k2_zfmisc_1(X2,k2_enumset1(X3,X3,X3,X3)))
| X1 = X3 ),
inference(definition_unfolding,[],[f10288,f14052,f14051]) ).
fof(f14096,plain,
! [X2,X3,X0,X1] :
( ~ r2_hidden(X1,X3)
| X0 != X2
| r2_hidden(k2_tarski(k2_tarski(X0,X1),k2_enumset1(X0,X0,X0,X0)),k2_zfmisc_1(k2_enumset1(X2,X2,X2,X2),X3)) ),
inference(definition_unfolding,[],[f10293,f14052,f14051]) ).
fof(f14097,plain,
! [X2,X3,X0,X1] :
( ~ r2_hidden(k2_tarski(k2_tarski(X0,X1),k2_enumset1(X0,X0,X0,X0)),k2_zfmisc_1(k2_enumset1(X2,X2,X2,X2),X3))
| X0 = X2 ),
inference(definition_unfolding,[],[f10292,f14052,f14051]) ).
fof(f14099,plain,
! [X0] : r1_tarski(k2_enumset1(X0,X0,X0,X0),k1_zfmisc_1(X0)),
inference(definition_unfolding,[],[f10294,f14051]) ).
fof(f14101,plain,
! [X0,X1] :
( ~ r2_hidden(X0,X1)
| k3_tarski(k2_tarski(k2_enumset1(X0,X0,X0,X0),X1)) = X1 ),
inference(definition_unfolding,[],[f10296,f12734,f14051]) ).
fof(f14103,plain,
! [X2,X0,X1] :
( np__0 = X2
| np__0 = X1
| X1 = X2
| k2_enumset1(X0,X0,X0,X0) != k3_tarski(k2_tarski(X1,X2)) ),
inference(definition_unfolding,[],[f10298,f14051,f12734,f13783,f13783]) ).
fof(f14107,plain,
! [X2,X0,X1] :
( np__0 = X2
| k2_enumset1(X0,X0,X0,X0) = X2
| k2_enumset1(X0,X0,X0,X0) = X1
| k2_enumset1(X0,X0,X0,X0) != k3_tarski(k2_tarski(X1,X2)) ),
inference(definition_unfolding,[],[f10303,f14051,f12734,f14051,f14051,f13783]) ).
fof(f14108,plain,
! [X2,X0,X1] :
( k2_enumset1(X0,X0,X0,X0) = X1
| np__0 = X1
| k2_enumset1(X0,X0,X0,X0) = X2
| k2_enumset1(X0,X0,X0,X0) != k3_tarski(k2_tarski(X1,X2)) ),
inference(definition_unfolding,[],[f10302,f14051,f12734,f14051,f13783,f14051]) ).
fof(f14112,plain,
! [X0,X1] :
( r2_hidden(sK47(X0,X1),X0)
| np__0 = X0
| k2_enumset1(X1,X1,X1,X1) = X0 ),
inference(definition_unfolding,[],[f10308,f14051,f13783]) ).
fof(f14113,plain,
! [X0,X1] :
( sK47(X0,X1) != X1
| np__0 = X0
| k2_enumset1(X1,X1,X1,X1) = X0 ),
inference(definition_unfolding,[],[f10307,f14051,f13783]) ).
fof(f14116,plain,
! [X0,X1] :
( ~ r1_tarski(X0,k2_enumset1(X1,X1,X1,X1))
| k2_enumset1(X1,X1,X1,X1) = X0
| np__0 = X0 ),
inference(definition_unfolding,[],[f10309,f13783,f14051,f14051]) ).
fof(f14117,plain,
! [X0,X1] :
( ~ r2_hidden(X0,X1)
| r1_tarski(k2_enumset1(X0,X0,X0,X0),X1) ),
inference(definition_unfolding,[],[f10313,f14051]) ).
fof(f14120,plain,
! [X2,X3,X0,X1] :
( X1 != X3
| X0 != X2
| r2_hidden(k2_tarski(k2_tarski(X0,X1),k2_enumset1(X0,X0,X0,X0)),k2_zfmisc_1(k2_enumset1(X2,X2,X2,X2),k2_enumset1(X3,X3,X3,X3))) ),
inference(definition_unfolding,[],[f10317,f14052,f14051,f14051]) ).
fof(f14124,plain,
! [X0,X1] :
( k2_enumset1(X0,X0,X0,X0) != k3_tarski(k2_tarski(k2_enumset1(X0,X0,X0,X0),k2_enumset1(X1,X1,X1,X1)))
| X0 = X1 ),
inference(definition_unfolding,[],[f10319,f14051,f12734,f14051,f14051]) ).
fof(f14126,plain,
k1_zfmisc_1(np__0) = k2_enumset1(np__0,np__0,np__0,np__0),
inference(definition_unfolding,[],[f10321,f13783,f14051,f13783]) ).
fof(f14127,plain,
! [X0,X1] :
( ~ r2_hidden(sK48(X0,X1),X1)
| sK48(X0,X1) != X0
| k2_enumset1(X0,X0,X0,X0) = X1 ),
inference(definition_unfolding,[],[f10325,f14051]) ).
fof(f14128,plain,
! [X0,X1] :
( r2_hidden(sK48(X0,X1),X1)
| sK48(X0,X1) = X0
| k2_enumset1(X0,X0,X0,X0) = X1 ),
inference(definition_unfolding,[],[f10324,f14051]) ).
fof(f14130,plain,
! [X3,X0,X1] :
( k2_enumset1(X0,X0,X0,X0) != X1
| ~ r2_hidden(X3,X1)
| X0 = X3 ),
inference(definition_unfolding,[],[f10322,f14051]) ).
fof(f14131,plain,
! [X0] :
( ~ l1_struct_0(X0)
| np__0 = k1_pre_topc(X0) ),
inference(definition_unfolding,[],[f10506,f13783]) ).
fof(f14132,plain,
! [X2,X3,X0,X1] :
( ~ l1_pre_topc(X0)
| ~ m1_pre_topc(X1,X0)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1)))
| X2 != X3
| k6_pre_topc(X1,X3) = k4_xboole_0(k6_pre_topc(X0,X2),k4_xboole_0(k6_pre_topc(X0,X2),k2_pre_topc(X1))) ),
inference(definition_unfolding,[],[f10521,f10579]) ).
fof(f14133,plain,
! [X2,X3,X0,X1] :
( ~ l1_pre_topc(X0)
| ~ m1_pre_topc(X1,X0)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| k4_xboole_0(X3,k4_xboole_0(X3,k2_pre_topc(X1))) != X2
| ~ v4_pre_topc(X3,X0)
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0)))
| v4_pre_topc(X2,X1) ),
inference(definition_unfolding,[],[f10525,f10579]) ).
fof(f14134,plain,
! [X2,X0,X1] :
( ~ l1_pre_topc(X0)
| ~ m1_pre_topc(X1,X0)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ v4_pre_topc(X2,X1)
| k4_xboole_0(sK57(X0,X1,X2),k4_xboole_0(sK57(X0,X1,X2),k2_pre_topc(X1))) = X2 ),
inference(definition_unfolding,[],[f10522,f10579]) ).
fof(f14135,plain,
! [X0,X1] : k5_finsub_1(k4_xboole_0(X0,k4_xboole_0(X0,X1))) = k4_xboole_0(k5_finsub_1(X0),k4_xboole_0(k5_finsub_1(X0),k5_finsub_1(X1))),
inference(definition_unfolding,[],[f10542,f10579,f10579]) ).
fof(f14138,plain,
! [X0,X1] :
( ~ v1_finset_1(X1)
| v1_finset_1(k4_xboole_0(X0,k4_xboole_0(X0,X1))) ),
inference(definition_unfolding,[],[f10545,f10579]) ).
fof(f14139,plain,
! [X2,X3,X0,X1] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| k3_tarski(k2_tarski(X0,X1)) != X2
| ~ r2_hidden(X3,k4_xboole_0(k1_relat_1(X0),k4_xboole_0(k1_relat_1(X0),k1_relat_1(X1))))
| k1_funct_1(X0,X3) = k1_funct_1(X1,X3) ),
inference(definition_unfolding,[],[f10546,f10579,f12734]) ).
fof(f14140,plain,
! [X0,X1] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| k3_tarski(k2_tarski(X0,X1)) = sK59(X0,X1)
| k1_funct_1(X0,sK58(X0,X1)) != k1_funct_1(X1,sK58(X0,X1)) ),
inference(definition_unfolding,[],[f10552,f12734]) ).
fof(f14141,plain,
! [X0,X1] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| k3_tarski(k2_tarski(X0,X1)) = sK59(X0,X1)
| r2_hidden(sK58(X0,X1),k4_xboole_0(k1_relat_1(X0),k4_xboole_0(k1_relat_1(X0),k1_relat_1(X1)))) ),
inference(definition_unfolding,[],[f10549,f10579,f12734]) ).
fof(f14142,plain,
! [X0,X1] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| v1_relat_1(sK59(X0,X1))
| r2_hidden(sK58(X0,X1),k4_xboole_0(k1_relat_1(X0),k4_xboole_0(k1_relat_1(X0),k1_relat_1(X1)))) ),
inference(definition_unfolding,[],[f10548,f10579]) ).
fof(f14143,plain,
! [X0,X1] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| v1_funct_1(sK59(X0,X1))
| r2_hidden(sK58(X0,X1),k4_xboole_0(k1_relat_1(X0),k4_xboole_0(k1_relat_1(X0),k1_relat_1(X1)))) ),
inference(definition_unfolding,[],[f10547,f10579]) ).
fof(f14144,plain,
! [X0,X1] :
( ~ v1_relat_1(X0)
| ~ v1_relat_1(X1)
| r1_tarski(k2_relat_1(k4_xboole_0(X0,k4_xboole_0(X0,X1))),k4_xboole_0(k2_relat_1(X0),k4_xboole_0(k2_relat_1(X0),k2_relat_1(X1)))) ),
inference(definition_unfolding,[],[f10553,f10579,f10579]) ).
fof(f14145,plain,
! [X0] :
( ~ v1_relat_1(X0)
| k4_xboole_0(X0,k4_xboole_0(X0,k2_zfmisc_1(k1_relat_1(X0),k2_relat_1(X0)))) = X0 ),
inference(definition_unfolding,[],[f10554,f10579]) ).
fof(f14146,plain,
! [X0,X1] :
( ~ v1_relat_1(X0)
| ~ v1_relat_1(X1)
| r1_tarski(k1_relat_1(k4_xboole_0(X0,k4_xboole_0(X0,X1))),k4_xboole_0(k1_relat_1(X0),k4_xboole_0(k1_relat_1(X0),k1_relat_1(X1)))) ),
inference(definition_unfolding,[],[f10555,f10579,f10579]) ).
fof(f14147,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| v1_relat_1(k4_xboole_0(X0,k4_xboole_0(X0,X1))) ),
inference(definition_unfolding,[],[f10556,f10579]) ).
fof(f14150,plain,
! [X2,X3,X0,X1] :
( ~ r1_tarski(X2,X3)
| ~ r1_tarski(X0,X1)
| k2_zfmisc_1(X0,X2) = k4_xboole_0(k2_zfmisc_1(X0,X3),k4_xboole_0(k2_zfmisc_1(X0,X3),k2_zfmisc_1(X1,X2))) ),
inference(definition_unfolding,[],[f10559,f10579]) ).
fof(f14151,plain,
! [X2,X3,X0,X1] : k2_zfmisc_1(k4_xboole_0(X0,k4_xboole_0(X0,X1)),k4_xboole_0(X2,k4_xboole_0(X2,X3))) = k4_xboole_0(k2_zfmisc_1(X0,X2),k4_xboole_0(k2_zfmisc_1(X0,X2),k2_zfmisc_1(X1,X3))),
inference(definition_unfolding,[],[f10560,f10579,f10579,f10579]) ).
fof(f14154,plain,
! [X2,X3,X0,X1,X4] :
( k2_tarski(k2_tarski(sK60(X0,X1,X2,X3,X4),sK61(X0,X1,X2,X3,X4)),k2_enumset1(sK60(X0,X1,X2,X3,X4),sK60(X0,X1,X2,X3,X4),sK60(X0,X1,X2,X3,X4),sK60(X0,X1,X2,X3,X4))) = X0
| ~ r2_hidden(X0,k4_xboole_0(k2_zfmisc_1(X1,X2),k4_xboole_0(k2_zfmisc_1(X1,X2),k2_zfmisc_1(X3,X4)))) ),
inference(definition_unfolding,[],[f10565,f10579,f14052]) ).
fof(f14155,plain,
! [X2,X3,X0,X1,X4] :
( r2_hidden(sK60(X0,X1,X2,X3,X4),k4_xboole_0(X1,k4_xboole_0(X1,X3)))
| ~ r2_hidden(X0,k4_xboole_0(k2_zfmisc_1(X1,X2),k4_xboole_0(k2_zfmisc_1(X1,X2),k2_zfmisc_1(X3,X4)))) ),
inference(definition_unfolding,[],[f10564,f10579,f10579]) ).
fof(f14156,plain,
! [X2,X3,X0,X1,X4] :
( r2_hidden(sK61(X0,X1,X2,X3,X4),k4_xboole_0(X2,k4_xboole_0(X2,X4)))
| ~ r2_hidden(X0,k4_xboole_0(k2_zfmisc_1(X1,X2),k4_xboole_0(k2_zfmisc_1(X1,X2),k2_zfmisc_1(X3,X4)))) ),
inference(definition_unfolding,[],[f10563,f10579,f10579]) ).
fof(f14157,plain,
! [X0,X1] : k1_zfmisc_1(k4_xboole_0(X0,k4_xboole_0(X0,X1))) = k4_xboole_0(k1_zfmisc_1(X0),k4_xboole_0(k1_zfmisc_1(X0),k1_zfmisc_1(X1))),
inference(definition_unfolding,[],[f10566,f10579,f10579]) ).
fof(f14158,plain,
! [X0,X1] :
( ~ r2_hidden(X0,X1)
| k2_enumset1(X0,X0,X0,X0) = k4_xboole_0(X1,k4_xboole_0(X1,k2_enumset1(X0,X0,X0,X0))) ),
inference(definition_unfolding,[],[f10567,f14051,f10579,f14051]) ).
fof(f14159,plain,
! [X0,X1] :
( k2_enumset1(X1,X1,X1,X1) != k4_xboole_0(X0,k4_xboole_0(X0,k2_enumset1(X1,X1,X1,X1)))
| r2_hidden(X1,X0) ),
inference(definition_unfolding,[],[f10568,f14051,f10579,f14051]) ).
fof(f14160,plain,
! [X0,X1] :
( k2_enumset1(X0,X0,X0,X0) != k4_xboole_0(k2_enumset1(X0,X0,X0,X0),k4_xboole_0(k2_enumset1(X0,X0,X0,X0),k2_enumset1(X1,X1,X1,X1)))
| X0 = X1 ),
inference(definition_unfolding,[],[f10569,f14051,f10579,f14051,f14051]) ).
fof(f14161,plain,
! [X2,X0,X1] : k4_xboole_0(k4_xboole_0(X0,k4_xboole_0(X0,X1)),k4_xboole_0(X2,k4_xboole_0(X2,X1))) = k4_xboole_0(k4_xboole_0(X0,X2),k4_xboole_0(k4_xboole_0(X0,X2),X1)),
inference(definition_unfolding,[],[f10570,f10579,f10579,f10579]) ).
fof(f14164,plain,
! [X2,X0,X1] : k4_xboole_0(X0,k4_xboole_0(X1,k4_xboole_0(X1,X2))) = k3_tarski(k2_tarski(k4_xboole_0(X0,X1),k4_xboole_0(X0,X2))),
inference(definition_unfolding,[],[f10573,f10579,f12734]) ).
fof(f14165,plain,
! [X2,X0,X1] : k4_xboole_0(X0,k3_tarski(k2_tarski(X1,X2))) = k4_xboole_0(k4_xboole_0(X0,X1),k4_xboole_0(k4_xboole_0(X0,X1),k4_xboole_0(X0,X2))),
inference(definition_unfolding,[],[f10574,f12734,f10579]) ).
fof(f14166,plain,
! [X2,X0,X1] : k4_xboole_0(X0,k4_xboole_0(X1,X2)) = k3_tarski(k2_tarski(k4_xboole_0(X0,X1),k4_xboole_0(X0,k4_xboole_0(X0,X2)))),
inference(definition_unfolding,[],[f10575,f12734,f10579]) ).
fof(f14168,plain,
! [X2,X0,X1] : k4_xboole_0(X0,k4_xboole_0(X0,k4_xboole_0(X1,X2))) = k4_xboole_0(k4_xboole_0(X0,k4_xboole_0(X0,X1)),k4_xboole_0(X0,k4_xboole_0(X0,X2))),
inference(definition_unfolding,[],[f10577,f10579,f10579,f10579]) ).
fof(f14169,plain,
! [X2,X0,X1] : k4_xboole_0(X0,k4_xboole_0(X0,k4_xboole_0(X1,X2))) = k4_xboole_0(k4_xboole_0(X0,k4_xboole_0(X0,X1)),X2),
inference(definition_unfolding,[],[f10578,f10579,f10579]) ).
fof(f14170,plain,
! [X0,X1] : k4_xboole_0(X0,X1) = k4_xboole_0(X0,k4_xboole_0(X0,k4_xboole_0(X0,X1))),
inference(definition_unfolding,[],[f10580,f10579]) ).
fof(f14171,plain,
! [X2,X0,X1] : r1_tarski(k3_tarski(k2_tarski(k4_xboole_0(X0,k4_xboole_0(X0,X1)),k4_xboole_0(X0,k4_xboole_0(X0,X2)))),k3_tarski(k2_tarski(X1,X2))),
inference(definition_unfolding,[],[f10581,f12734,f10579,f10579,f12734]) ).
fof(f14172,plain,
! [X2,X0,X1] :
( ~ r1_tarski(X0,X1)
| k3_tarski(k2_tarski(X0,k4_xboole_0(X2,k4_xboole_0(X2,X1)))) = k4_xboole_0(k3_tarski(k2_tarski(X0,X2)),k4_xboole_0(k3_tarski(k2_tarski(X0,X2)),X1)) ),
inference(definition_unfolding,[],[f10582,f12734,f10579,f10579,f12734]) ).
fof(f14173,plain,
! [X2,X0,X1] : r1_tarski(k4_xboole_0(X0,k4_xboole_0(X0,X1)),k3_tarski(k2_tarski(X0,X2))),
inference(definition_unfolding,[],[f10583,f10579,f12734]) ).
fof(f14174,plain,
! [X0,X1] :
( ~ r1_tarski(X0,X1)
| k4_xboole_0(X0,k4_xboole_0(X0,X1)) = X0 ),
inference(definition_unfolding,[],[f10584,f10579]) ).
fof(f14175,plain,
! [X2,X3,X0,X1] :
( ~ r1_tarski(X2,X3)
| ~ r1_tarski(X0,X1)
| r1_tarski(k4_xboole_0(X0,k4_xboole_0(X0,X2)),k4_xboole_0(X1,k4_xboole_0(X1,X3))) ),
inference(definition_unfolding,[],[f10585,f10579,f10579]) ).
fof(f14176,plain,
! [X2,X0,X1] :
( ~ r1_tarski(X0,X1)
| r1_tarski(k4_xboole_0(X0,k4_xboole_0(X0,X2)),k4_xboole_0(X1,k4_xboole_0(X1,X2))) ),
inference(definition_unfolding,[],[f10586,f10579,f10579]) ).
fof(f14177,plain,
! [X2,X0,X1] : k3_tarski(k2_tarski(k3_tarski(k2_tarski(k4_xboole_0(X0,k4_xboole_0(X0,X1)),k4_xboole_0(X1,k4_xboole_0(X1,X2)))),k4_xboole_0(X2,k4_xboole_0(X2,X0)))) = k4_xboole_0(k4_xboole_0(k3_tarski(k2_tarski(X0,X1)),k4_xboole_0(k3_tarski(k2_tarski(X0,X1)),k3_tarski(k2_tarski(X1,X2)))),k4_xboole_0(k4_xboole_0(k3_tarski(k2_tarski(X0,X1)),k4_xboole_0(k3_tarski(k2_tarski(X0,X1)),k3_tarski(k2_tarski(X1,X2)))),k3_tarski(k2_tarski(X2,X0)))),
inference(definition_unfolding,[],[f10587,f12734,f12734,f10579,f10579,f10579,f10579,f10579,f12734,f12734,f12734]) ).
fof(f14178,plain,
! [X2,X0,X1] : k3_tarski(k2_tarski(X0,k4_xboole_0(X1,k4_xboole_0(X1,X2)))) = k4_xboole_0(k3_tarski(k2_tarski(X0,X1)),k4_xboole_0(k3_tarski(k2_tarski(X0,X1)),k3_tarski(k2_tarski(X0,X2)))),
inference(definition_unfolding,[],[f10588,f12734,f10579,f10579,f12734,f12734]) ).
fof(f14179,plain,
! [X2,X0,X1] : k3_tarski(k2_tarski(k4_xboole_0(X0,k4_xboole_0(X0,X1)),k4_xboole_0(X0,k4_xboole_0(X0,X2)))) = k4_xboole_0(X0,k4_xboole_0(X0,k3_tarski(k2_tarski(X1,X2)))),
inference(definition_unfolding,[],[f10589,f10579,f12734,f12734,f10579,f10579]) ).
fof(f14180,plain,
! [X0,X1] : k3_tarski(k2_tarski(X0,k4_xboole_0(X0,k4_xboole_0(X0,X1)))) = X0,
inference(definition_unfolding,[],[f10590,f12734,f10579]) ).
fof(f14182,plain,
! [X2,X0,X1] :
( ~ r1_tarski(sK62(X0,X1,X2),X0)
| ~ r1_tarski(X0,X2)
| ~ r1_tarski(X0,X1)
| k4_xboole_0(X1,k4_xboole_0(X1,X2)) = X0 ),
inference(definition_unfolding,[],[f10594,f10579]) ).
fof(f14183,plain,
! [X2,X0,X1] :
( r1_tarski(sK62(X0,X1,X2),X1)
| ~ r1_tarski(X0,X2)
| ~ r1_tarski(X0,X1)
| k4_xboole_0(X1,k4_xboole_0(X1,X2)) = X0 ),
inference(definition_unfolding,[],[f10593,f10579]) ).
fof(f14184,plain,
! [X2,X0,X1] :
( r1_tarski(sK62(X0,X1,X2),X2)
| ~ r1_tarski(X0,X2)
| ~ r1_tarski(X0,X1)
| k4_xboole_0(X1,k4_xboole_0(X1,X2)) = X0 ),
inference(definition_unfolding,[],[f10592,f10579]) ).
fof(f14185,plain,
! [X2,X0,X1] :
( ~ r1_tarski(X0,X2)
| ~ r1_tarski(X0,X1)
| r1_tarski(X0,k4_xboole_0(X1,k4_xboole_0(X1,X2))) ),
inference(definition_unfolding,[],[f10595,f10579]) ).
fof(f14188,plain,
! [X2,X0,X1] : k4_xboole_0(k4_xboole_0(X0,k4_xboole_0(X0,X1)),k4_xboole_0(k4_xboole_0(X0,k4_xboole_0(X0,X1)),X2)) = k4_xboole_0(X0,k4_xboole_0(X0,k4_xboole_0(X1,k4_xboole_0(X1,X2)))),
inference(definition_unfolding,[],[f10598,f10579,f10579,f10579,f10579]) ).
fof(f14189,plain,
! [X0] : np__0 = k4_xboole_0(X0,k4_xboole_0(X0,np__0)),
inference(definition_unfolding,[],[f10599,f13783,f10579,f13783]) ).
fof(f14191,plain,
! [X0,X1] : k4_xboole_0(X0,k4_xboole_0(X0,X1)) = k4_xboole_0(X1,k4_xboole_0(X1,X0)),
inference(definition_unfolding,[],[f10601,f10579,f10579]) ).
fof(f14192,plain,
! [X2,X0,X1] :
( ~ r2_hidden(sK63(X0,X1,X2),X2)
| ~ r2_hidden(sK63(X0,X1,X2),X1)
| ~ r2_hidden(sK63(X0,X1,X2),X0)
| k4_xboole_0(X0,k4_xboole_0(X0,X1)) = X2 ),
inference(definition_unfolding,[],[f10607,f10579]) ).
fof(f14193,plain,
! [X2,X0,X1] :
( r2_hidden(sK63(X0,X1,X2),X2)
| r2_hidden(sK63(X0,X1,X2),X0)
| k4_xboole_0(X0,k4_xboole_0(X0,X1)) = X2 ),
inference(definition_unfolding,[],[f10606,f10579]) ).
fof(f14194,plain,
! [X2,X0,X1] :
( r2_hidden(sK63(X0,X1,X2),X2)
| r2_hidden(sK63(X0,X1,X2),X1)
| k4_xboole_0(X0,k4_xboole_0(X0,X1)) = X2 ),
inference(definition_unfolding,[],[f10605,f10579]) ).
fof(f14195,plain,
! [X2,X0,X1,X4] :
( k4_xboole_0(X0,k4_xboole_0(X0,X1)) != X2
| ~ r2_hidden(X4,X1)
| ~ r2_hidden(X4,X0)
| r2_hidden(X4,X2) ),
inference(definition_unfolding,[],[f10604,f10579]) ).
fof(f14197,plain,
! [X2,X0,X1,X4] :
( k4_xboole_0(X0,k4_xboole_0(X0,X1)) != X2
| ~ r2_hidden(X4,X2)
| r2_hidden(X4,X1) ),
inference(definition_unfolding,[],[f10602,f10579]) ).
fof(f14198,plain,
! [X0,X1] : r1_tarski(k3_tarski(k2_tarski(k5_finsub_1(X0),k5_finsub_1(X1))),k5_finsub_1(k3_tarski(k2_tarski(X0,X1)))),
inference(definition_unfolding,[],[f10642,f12734,f12734]) ).
fof(f14200,plain,
! [X0,X1] :
( ~ v1_finset_1(X1)
| ~ v1_finset_1(X0)
| v1_finset_1(k3_tarski(k2_tarski(X0,X1))) ),
inference(definition_unfolding,[],[f10644,f12734]) ).
fof(f14201,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ r1_tarski(X3,k2_zfmisc_1(X4,X5))
| ~ r1_tarski(X0,k2_zfmisc_1(X1,X2))
| r1_tarski(k3_tarski(k2_tarski(X0,X3)),k2_zfmisc_1(k3_tarski(k2_tarski(X1,X4)),k3_tarski(k2_tarski(X2,X5)))) ),
inference(definition_unfolding,[],[f10645,f12734,f12734,f12734]) ).
fof(f14202,plain,
! [X0,X1] :
( ~ v1_relat_1(X0)
| ~ v1_relat_1(X1)
| k2_relat_1(k3_tarski(k2_tarski(X0,X1))) = k3_tarski(k2_tarski(k2_relat_1(X0),k2_relat_1(X1))) ),
inference(definition_unfolding,[],[f10646,f12734,f12734]) ).
fof(f14203,plain,
! [X0,X1] :
( ~ v1_relat_1(X0)
| ~ v1_relat_1(X1)
| k1_relat_1(k3_tarski(k2_tarski(X0,X1))) = k3_tarski(k2_tarski(k1_relat_1(X0),k1_relat_1(X1))) ),
inference(definition_unfolding,[],[f10647,f12734,f12734]) ).
fof(f14204,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| ~ v1_relat_1(X0)
| v1_relat_1(k3_tarski(k2_tarski(X0,X1))) ),
inference(definition_unfolding,[],[f10648,f12734]) ).
fof(f14207,plain,
! [X2,X3,X0,X1] : k4_xboole_0(k2_zfmisc_1(X0,X1),k2_zfmisc_1(X2,X3)) = k3_tarski(k2_tarski(k2_zfmisc_1(k4_xboole_0(X0,X2),X1),k2_zfmisc_1(X0,k4_xboole_0(X1,X3)))),
inference(definition_unfolding,[],[f10651,f12734]) ).
fof(f14209,plain,
! [X2,X0,X1] : k2_zfmisc_1(k3_tarski(k2_tarski(X0,X1)),X2) = k3_tarski(k2_tarski(k2_zfmisc_1(X0,X2),k2_zfmisc_1(X1,X2))),
inference(definition_unfolding,[],[f10654,f12734,f12734]) ).
fof(f14210,plain,
! [X2,X0,X1] : k2_zfmisc_1(X2,k3_tarski(k2_tarski(X0,X1))) = k3_tarski(k2_tarski(k2_zfmisc_1(X2,X0),k2_zfmisc_1(X2,X1))),
inference(definition_unfolding,[],[f10653,f12734,f12734]) ).
fof(f14211,plain,
! [X0,X1] : r1_tarski(k2_zfmisc_1(X0,X1),k1_zfmisc_1(k1_zfmisc_1(k3_tarski(k2_tarski(X0,X1))))),
inference(definition_unfolding,[],[f10655,f12734]) ).
fof(f14212,plain,
! [X0,X1] : r1_tarski(k1_zfmisc_1(k4_xboole_0(X0,X1)),k3_tarski(k2_tarski(k2_enumset1(np__0,np__0,np__0,np__0),k4_xboole_0(k1_zfmisc_1(X0),k1_zfmisc_1(X1))))),
inference(definition_unfolding,[],[f10656,f12734,f14051,f13783]) ).
fof(f14213,plain,
! [X0,X1] : r1_tarski(k3_tarski(k2_tarski(k1_zfmisc_1(X0),k1_zfmisc_1(X1))),k1_zfmisc_1(k3_tarski(k2_tarski(X0,X1)))),
inference(definition_unfolding,[],[f10657,f12734,f12734]) ).
fof(f14217,plain,
! [X2,X0,X1] :
( ~ r1_tarski(k4_xboole_0(X0,X1),X2)
| r1_tarski(X0,k3_tarski(k2_tarski(X1,X2))) ),
inference(definition_unfolding,[],[f10661,f12734]) ).
fof(f14218,plain,
! [X2,X0,X1] :
( ~ r1_tarski(X0,k3_tarski(k2_tarski(X1,X2)))
| r1_tarski(k4_xboole_0(X0,X1),X2) ),
inference(definition_unfolding,[],[f10662,f12734]) ).
fof(f14219,plain,
! [X2,X0,X1] : k4_xboole_0(k3_tarski(k2_tarski(X0,X1)),X2) = k3_tarski(k2_tarski(k4_xboole_0(X0,X2),k4_xboole_0(X1,X2))),
inference(definition_unfolding,[],[f10663,f12734,f12734]) ).
fof(f14220,plain,
! [X2,X0,X1] : k4_xboole_0(k4_xboole_0(X0,X1),X2) = k4_xboole_0(X0,k3_tarski(k2_tarski(X1,X2))),
inference(definition_unfolding,[],[f10664,f12734]) ).
fof(f14221,plain,
! [X0,X1] : k4_xboole_0(X0,X1) = k4_xboole_0(k3_tarski(k2_tarski(X0,X1)),X1),
inference(definition_unfolding,[],[f10665,f12734]) ).
fof(f14222,plain,
! [X0,X1] : k3_tarski(k2_tarski(X0,X1)) = k3_tarski(k2_tarski(X0,k4_xboole_0(X1,X0))),
inference(definition_unfolding,[],[f10666,f12734,f12734]) ).
fof(f14223,plain,
! [X0,X1] :
( k3_tarski(k2_tarski(X0,X1)) != np__0
| np__0 = X0 ),
inference(definition_unfolding,[],[f10667,f13783,f13783,f12734]) ).
fof(f14224,plain,
! [X2,X0,X1] :
( ~ r1_tarski(X1,sK76(X0,X1,X2))
| ~ r1_tarski(X2,X1)
| ~ r1_tarski(X0,X1)
| k3_tarski(k2_tarski(X0,X2)) = X1 ),
inference(definition_unfolding,[],[f10670,f12734]) ).
fof(f14225,plain,
! [X2,X0,X1] :
( r1_tarski(X0,sK76(X0,X1,X2))
| ~ r1_tarski(X2,X1)
| ~ r1_tarski(X0,X1)
| k3_tarski(k2_tarski(X0,X2)) = X1 ),
inference(definition_unfolding,[],[f10669,f12734]) ).
fof(f14226,plain,
! [X2,X0,X1] :
( r1_tarski(X2,sK76(X0,X1,X2))
| ~ r1_tarski(X2,X1)
| ~ r1_tarski(X0,X1)
| k3_tarski(k2_tarski(X0,X2)) = X1 ),
inference(definition_unfolding,[],[f10668,f12734]) ).
fof(f14227,plain,
! [X2,X3,X0,X1] :
( ~ r1_tarski(X2,X3)
| ~ r1_tarski(X0,X1)
| r1_tarski(k3_tarski(k2_tarski(X0,X2)),k3_tarski(k2_tarski(X1,X3))) ),
inference(definition_unfolding,[],[f10671,f12734,f12734]) ).
fof(f14228,plain,
! [X0,X1] :
( ~ r1_tarski(X0,X1)
| k3_tarski(k2_tarski(X0,X1)) = X1 ),
inference(definition_unfolding,[],[f10672,f12734]) ).
fof(f14229,plain,
! [X2,X0,X1] :
( ~ r1_tarski(k3_tarski(k2_tarski(X0,X1)),X2)
| r1_tarski(X0,X2) ),
inference(definition_unfolding,[],[f10673,f12734]) ).
fof(f14230,plain,
! [X2,X0,X1] :
( ~ r1_tarski(X0,X1)
| r1_tarski(X0,k3_tarski(k2_tarski(X2,X1))) ),
inference(definition_unfolding,[],[f10674,f12734]) ).
fof(f14231,plain,
! [X2,X0,X1] :
( ~ r1_tarski(X0,X1)
| r1_tarski(k3_tarski(k2_tarski(X0,X2)),k3_tarski(k2_tarski(X1,X2))) ),
inference(definition_unfolding,[],[f10675,f12734,f12734]) ).
fof(f14232,plain,
! [X2,X0,X1] :
( ~ r1_tarski(X2,X1)
| ~ r1_tarski(X0,X1)
| r1_tarski(k3_tarski(k2_tarski(X0,X2)),X1) ),
inference(definition_unfolding,[],[f10676,f12734]) ).
fof(f14233,plain,
! [X0,X1] : r1_tarski(X0,k3_tarski(k2_tarski(X0,X1))),
inference(definition_unfolding,[],[f10677,f12734]) ).
fof(f14234,plain,
! [X0,X1] : k3_tarski(k2_tarski(X0,X1)) = k3_tarski(k2_tarski(X0,k3_tarski(k2_tarski(X0,X1)))),
inference(definition_unfolding,[],[f10678,f12734,f12734,f12734]) ).
fof(f14235,plain,
! [X2,X0,X1] : k3_tarski(k2_tarski(k3_tarski(k2_tarski(X0,X1)),X2)) = k3_tarski(k2_tarski(k3_tarski(k2_tarski(X0,X2)),k3_tarski(k2_tarski(X1,X2)))),
inference(definition_unfolding,[],[f10679,f12734,f12734,f12734,f12734,f12734]) ).
fof(f14236,plain,
! [X2,X0,X1] : k3_tarski(k2_tarski(k3_tarski(k2_tarski(X0,X1)),X2)) = k3_tarski(k2_tarski(X0,k3_tarski(k2_tarski(X1,X2)))),
inference(definition_unfolding,[],[f10680,f12734,f12734,f12734,f12734]) ).
fof(f14237,plain,
! [X0] : k3_tarski(k2_tarski(X0,np__0)) = X0,
inference(definition_unfolding,[],[f10681,f12734,f13783]) ).
fof(f14238,plain,
! [X0] : k3_tarski(k2_tarski(X0,X0)) = X0,
inference(definition_unfolding,[],[f10682,f12734]) ).
fof(f14240,plain,
! [X2,X0,X1] :
( ~ r2_hidden(sK77(X0,X1,X2),X2)
| ~ r2_hidden(sK77(X0,X1,X2),X0)
| k3_tarski(k2_tarski(X0,X1)) = X2 ),
inference(definition_unfolding,[],[f10689,f12734]) ).
fof(f14241,plain,
! [X2,X0,X1] :
( ~ r2_hidden(sK77(X0,X1,X2),X2)
| ~ r2_hidden(sK77(X0,X1,X2),X1)
| k3_tarski(k2_tarski(X0,X1)) = X2 ),
inference(definition_unfolding,[],[f10688,f12734]) ).
fof(f14242,plain,
! [X2,X0,X1] :
( r2_hidden(sK77(X0,X1,X2),X2)
| r2_hidden(sK77(X0,X1,X2),X1)
| r2_hidden(sK77(X0,X1,X2),X0)
| k3_tarski(k2_tarski(X0,X1)) = X2 ),
inference(definition_unfolding,[],[f10687,f12734]) ).
fof(f14243,plain,
! [X2,X0,X1,X4] :
( k3_tarski(k2_tarski(X0,X1)) != X2
| ~ r2_hidden(X4,X0)
| r2_hidden(X4,X2) ),
inference(definition_unfolding,[],[f10686,f12734]) ).
fof(f14244,plain,
! [X2,X0,X1,X4] :
( k3_tarski(k2_tarski(X0,X1)) != X2
| ~ r2_hidden(X4,X1)
| r2_hidden(X4,X2) ),
inference(definition_unfolding,[],[f10685,f12734]) ).
fof(f14245,plain,
! [X2,X0,X1,X4] :
( k3_tarski(k2_tarski(X0,X1)) != X2
| ~ r2_hidden(X4,X2)
| r2_hidden(X4,X1)
| r2_hidden(X4,X0) ),
inference(definition_unfolding,[],[f10684,f12734]) ).
fof(f14246,plain,
! [X0,X1] :
( v1_xboole_0(X0)
| ~ v1_xboole_0(k3_tarski(k2_tarski(X1,X0))) ),
inference(definition_unfolding,[],[f10690,f12734]) ).
fof(f14247,plain,
! [X0,X1] :
( v1_xboole_0(X0)
| ~ v1_xboole_0(k3_tarski(k2_tarski(X0,X1))) ),
inference(definition_unfolding,[],[f10691,f12734]) ).
fof(f14249,plain,
! [X2,X3,X0,X1] :
( ~ m2_relset_1(X3,X0,X1)
| ~ v1_funct_2(X3,X0,X1)
| ~ v1_funct_1(X3)
| ~ r1_tarski(X1,X2)
| v1_funct_2(X3,X0,X2)
| np__0 = X1 ),
inference(definition_unfolding,[],[f10710,f13783]) ).
fof(f14250,plain,
! [X2,X3,X0,X1] :
( ~ m2_relset_1(X3,X0,X1)
| ~ v1_funct_2(X3,X0,X1)
| ~ v1_funct_1(X3)
| ~ r1_tarski(X1,X2)
| m2_relset_1(X3,X0,X2)
| np__0 = X1 ),
inference(definition_unfolding,[],[f10709,f13783]) ).
fof(f14252,plain,
! [X2,X3,X0,X1] :
( ~ m2_relset_1(X3,X0,X1)
| ~ v1_funct_2(X3,X0,X1)
| ~ v1_funct_1(X3)
| ~ r1_tarski(X1,X2)
| v1_funct_2(X3,X0,X2)
| np__0 != X0 ),
inference(definition_unfolding,[],[f10707,f13783]) ).
fof(f14253,plain,
! [X2,X3,X0,X1] :
( ~ m2_relset_1(X3,X0,X1)
| ~ v1_funct_2(X3,X0,X1)
| ~ v1_funct_1(X3)
| ~ r1_tarski(X1,X2)
| m2_relset_1(X3,X0,X2)
| np__0 != X0 ),
inference(definition_unfolding,[],[f10706,f13783]) ).
fof(f14254,plain,
! [X2,X3,X0,X1] :
( ~ r1_tarski(k2_zfmisc_1(X0,X1),k2_zfmisc_1(X2,X3))
| r1_tarski(X0,X2)
| k2_zfmisc_1(X0,X1) = np__0 ),
inference(definition_unfolding,[],[f10736,f13783]) ).
fof(f14255,plain,
! [X2,X3,X0,X1] :
( ~ r1_tarski(k2_zfmisc_1(X0,X1),k2_zfmisc_1(X2,X3))
| r1_tarski(X1,X3)
| k2_zfmisc_1(X0,X1) = np__0 ),
inference(definition_unfolding,[],[f10735,f13783]) ).
fof(f14256,plain,
! [X0,X1] :
( ~ r1_tarski(X0,k2_zfmisc_1(X0,X1))
| np__0 = X0 ),
inference(definition_unfolding,[],[f10738,f13783]) ).
fof(f14257,plain,
! [X0,X1] :
( ~ r1_tarski(X0,k2_zfmisc_1(X1,X0))
| np__0 = X0 ),
inference(definition_unfolding,[],[f10737,f13783]) ).
fof(f14258,plain,
! [X2,X0,X1] :
( r1_tarski(X1,X2)
| ~ r1_tarski(k2_zfmisc_1(X1,X0),k2_zfmisc_1(X2,X0))
| np__0 = X0 ),
inference(definition_unfolding,[],[f10743,f13783]) ).
fof(f14259,plain,
! [X2,X0,X1] :
( r1_tarski(X1,X2)
| ~ r1_tarski(k2_zfmisc_1(X0,X1),k2_zfmisc_1(X0,X2))
| np__0 = X0 ),
inference(definition_unfolding,[],[f10742,f13783]) ).
fof(f14261,plain,
! [X0] :
( ~ r1_tarski(X0,np__0)
| np__0 = X0 ),
inference(definition_unfolding,[],[f10750,f13783,f13783]) ).
fof(f14262,plain,
! [X0] : r1_tarski(np__0,X0),
inference(definition_unfolding,[],[f10751,f13783]) ).
fof(f14267,plain,
! [X0] :
( ~ v1_xboole_0(X0)
| np__0 = X0 ),
inference(definition_unfolding,[],[f10785,f13783]) ).
fof(f14269,plain,
! [X2,X3,X0,X1] :
( k2_zfmisc_1(X0,X1) != k2_zfmisc_1(X2,X3)
| X0 = X2
| np__0 = X1
| np__0 = X0 ),
inference(definition_unfolding,[],[f10802,f13783,f13783]) ).
fof(f14270,plain,
! [X2,X3,X0,X1] :
( k2_zfmisc_1(X0,X1) != k2_zfmisc_1(X2,X3)
| X1 = X3
| np__0 = X1
| np__0 = X0 ),
inference(definition_unfolding,[],[f10801,f13783,f13783]) ).
fof(f14272,plain,
! [X0,X1] :
( np__0 != X0
| k2_zfmisc_1(X0,X1) = np__0 ),
inference(definition_unfolding,[],[f10807,f13783,f13783]) ).
fof(f14273,plain,
! [X0,X1] :
( np__0 != X1
| k2_zfmisc_1(X0,X1) = np__0 ),
inference(definition_unfolding,[],[f10806,f13783,f13783]) ).
fof(f14274,plain,
! [X0,X1] :
( k2_zfmisc_1(X0,X1) != np__0
| np__0 = X1
| np__0 = X0 ),
inference(definition_unfolding,[],[f10805,f13783,f13783,f13783]) ).
fof(f14275,plain,
! [X2,X3,X0,X1] :
( ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| ~ v1_funct_1(X3)
| ~ v1_relat_1(X3)
| k1_funct_1(X2,k2_tarski(k2_tarski(sK95(X0,X1,X2,X3),sK96(X0,X1,X2,X3)),k2_enumset1(sK95(X0,X1,X2,X3),sK95(X0,X1,X2,X3),sK95(X0,X1,X2,X3),sK95(X0,X1,X2,X3)))) != k1_funct_1(X3,k2_tarski(k2_tarski(sK95(X0,X1,X2,X3),sK96(X0,X1,X2,X3)),k2_enumset1(sK95(X0,X1,X2,X3),sK95(X0,X1,X2,X3),sK95(X0,X1,X2,X3),sK95(X0,X1,X2,X3))))
| k2_zfmisc_1(X0,X1) != k1_relat_1(X3)
| k2_zfmisc_1(X0,X1) != k1_relat_1(X2)
| X2 = X3 ),
inference(definition_unfolding,[],[f10821,f14052,f14052]) ).
fof(f14276,plain,
! [X2,X3,X0,X1,X4] :
( ~ m2_relset_1(X3,k2_zfmisc_1(X0,X1),X2)
| ~ v1_funct_2(X3,k2_zfmisc_1(X0,X1),X2)
| ~ v1_funct_1(X3)
| ~ m2_relset_1(X4,k2_zfmisc_1(X0,X1),X2)
| ~ v1_funct_2(X4,k2_zfmisc_1(X0,X1),X2)
| ~ v1_funct_1(X4)
| k1_funct_1(X3,k2_tarski(k2_tarski(sK97(X0,X1,X3,X4),sK98(X0,X1,X3,X4)),k2_enumset1(sK97(X0,X1,X3,X4),sK97(X0,X1,X3,X4),sK97(X0,X1,X3,X4),sK97(X0,X1,X3,X4)))) != k1_funct_1(X4,k2_tarski(k2_tarski(sK97(X0,X1,X3,X4),sK98(X0,X1,X3,X4)),k2_enumset1(sK97(X0,X1,X3,X4),sK97(X0,X1,X3,X4),sK97(X0,X1,X3,X4),sK97(X0,X1,X3,X4))))
| X3 = X4 ),
inference(definition_unfolding,[],[f10824,f14052,f14052]) ).
fof(f14277,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ m2_relset_1(X5,k2_zfmisc_1(X0,X1),X2)
| ~ v1_funct_2(X5,k2_zfmisc_1(X0,X1),X2)
| ~ v1_funct_1(X5)
| ~ r2_hidden(X4,X1)
| ~ r2_hidden(X3,X0)
| r2_hidden(k1_funct_1(X5,k2_tarski(k2_tarski(X3,X4),k2_enumset1(X3,X3,X3,X3))),X2)
| np__0 = X2 ),
inference(definition_unfolding,[],[f10825,f13783,f14052]) ).
fof(f14278,plain,
! [X2,X3,X0,X1,X4] :
( ~ m2_relset_1(X3,k2_zfmisc_1(X0,X1),X2)
| ~ v1_funct_2(X3,k2_zfmisc_1(X0,X1),X2)
| ~ v1_funct_1(X3)
| ~ m2_relset_1(X4,k2_zfmisc_1(X0,X1),X2)
| ~ v1_funct_2(X4,k2_zfmisc_1(X0,X1),X2)
| ~ v1_funct_1(X4)
| k1_funct_1(X3,k2_tarski(k2_tarski(sK99(X0,X1,X3,X4),sK100(X0,X1,X3,X4)),k2_enumset1(sK99(X0,X1,X3,X4),sK99(X0,X1,X3,X4),sK99(X0,X1,X3,X4),sK99(X0,X1,X3,X4)))) != k1_funct_1(X4,k2_tarski(k2_tarski(sK99(X0,X1,X3,X4),sK100(X0,X1,X3,X4)),k2_enumset1(sK99(X0,X1,X3,X4),sK99(X0,X1,X3,X4),sK99(X0,X1,X3,X4),sK99(X0,X1,X3,X4))))
| X3 = X4 ),
inference(definition_unfolding,[],[f10828,f14052,f14052]) ).
fof(f14279,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X2,X0,X1)
| ~ v1_funct_2(X2,X0,X1)
| ~ v1_funct_1(X2)
| r2_hidden(sK104(X0,X1,X2),X1)
| k2_relat_1(X2) = X1
| np__0 = X1 ),
inference(definition_unfolding,[],[f10836,f13783]) ).
fof(f14280,plain,
! [X2,X0,X1,X4] :
( ~ m2_relset_1(X2,X0,X1)
| ~ v1_funct_2(X2,X0,X1)
| ~ v1_funct_1(X2)
| k1_funct_1(X2,X4) != sK104(X0,X1,X2)
| ~ r2_hidden(X4,X0)
| k2_relat_1(X2) = X1
| np__0 = X1 ),
inference(definition_unfolding,[],[f10835,f13783]) ).
fof(f14281,plain,
! [X2,X3,X0,X1] :
( ~ m2_relset_1(X3,X0,X1)
| ~ v1_funct_2(X3,X0,X1)
| ~ v1_funct_1(X3)
| ~ r2_hidden(X2,X0)
| r2_hidden(k1_funct_1(X3,X2),X1)
| np__0 = X1 ),
inference(definition_unfolding,[],[f10837,f13783]) ).
fof(f14282,plain,
! [X2,X3,X0,X1] :
( ~ m2_relset_1(X3,X0,X1)
| ~ v1_funct_2(X3,X0,X1)
| ~ v1_funct_1(X3)
| ~ r2_hidden(X2,X0)
| r2_hidden(k1_funct_1(X3,X2),k2_relat_1(X3))
| np__0 = X1 ),
inference(definition_unfolding,[],[f10838,f13783]) ).
fof(f14283,plain,
! [X2,X0,X1] :
( ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| k1_funct_1(X2,X0) != X1
| ~ r2_hidden(X0,k1_relat_1(X2))
| r2_hidden(k2_tarski(k2_tarski(X0,X1),k2_enumset1(X0,X0,X0,X0)),X2) ),
inference(definition_unfolding,[],[f10858,f14052]) ).
fof(f14284,plain,
! [X2,X0,X1] :
( ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| ~ r2_hidden(k2_tarski(k2_tarski(X0,X1),k2_enumset1(X0,X0,X0,X0)),X2)
| r2_hidden(X0,k1_relat_1(X2)) ),
inference(definition_unfolding,[],[f10857,f14052]) ).
fof(f14285,plain,
! [X2,X0,X1] :
( ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| ~ r2_hidden(k2_tarski(k2_tarski(X0,X1),k2_enumset1(X0,X0,X0,X0)),X2)
| k1_funct_1(X2,X0) = X1 ),
inference(definition_unfolding,[],[f10856,f14052]) ).
fof(f14286,plain,
! [X2,X0,X1] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ~ r2_hidden(X1,k1_relat_1(X0))
| ~ r2_hidden(k2_tarski(k2_tarski(X1,X2),k2_enumset1(X1,X1,X1,X1)),X0)
| k1_funct_1(X0,X1) = X2 ),
inference(definition_unfolding,[],[f10862,f14052]) ).
fof(f14289,plain,
! [X2,X0,X1] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| r2_hidden(X1,k1_relat_1(X0))
| k1_funct_1(X0,X1) != X2
| np__0 = X2 ),
inference(definition_unfolding,[],[f10859,f13783]) ).
fof(f14291,plain,
! [X0,X1] :
( ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| k1_relat_1(X1) != np__0
| v1_funct_2(X1,np__0,X0) ),
inference(definition_unfolding,[],[f10864,f13783,f13783]) ).
fof(f14292,plain,
! [X0,X1] :
( ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| k1_relat_1(X1) != np__0
| m2_relset_1(X1,np__0,X0) ),
inference(definition_unfolding,[],[f10863,f13783,f13783]) ).
fof(f14293,plain,
! [X2,X3,X0,X1] :
( ~ m2_relset_1(X2,X0,np__0)
| ~ v1_funct_1(X2)
| ~ m2_relset_1(X3,X1,np__0)
| ~ v1_funct_1(X3)
| X2 = X3 ),
inference(definition_unfolding,[],[f10866,f13783,f13783]) ).
fof(f14294,plain,
! [X0,X1] :
( ~ m2_relset_1(X1,X0,np__0)
| ~ v1_funct_1(X1)
| np__0 = X1 ),
inference(definition_unfolding,[],[f10867,f13783,f13783]) ).
fof(f14295,plain,
! [X2,X3,X0,X1] :
( ~ m2_relset_1(X2,np__0,X0)
| ~ v1_funct_1(X2)
| ~ m2_relset_1(X3,np__0,X1)
| ~ v1_funct_1(X3)
| X2 = X3 ),
inference(definition_unfolding,[],[f10868,f13783,f13783]) ).
fof(f14296,plain,
! [X0,X1] :
( ~ m2_relset_1(X1,np__0,X0)
| ~ v1_funct_1(X1)
| np__0 = X1 ),
inference(definition_unfolding,[],[f10869,f13783,f13783]) ).
fof(f14298,plain,
! [X0,X1] : m2_relset_1(np__0,X0,X1),
inference(definition_unfolding,[],[f10870,f13783]) ).
fof(f14300,plain,
! [X2,X0,X1] :
( ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| k1_relat_1(X2) != np__0
| m2_relset_1(X2,X0,X1) ),
inference(definition_unfolding,[],[f10872,f13783]) ).
fof(f14301,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X2,X1,X0)
| ~ m2_relset_1(X2,X1,np__0)
| np__0 = X2 ),
inference(definition_unfolding,[],[f10874,f13783,f13783]) ).
fof(f14302,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X2,X0,X1)
| ~ m2_relset_1(X2,np__0,X1)
| np__0 = X2 ),
inference(definition_unfolding,[],[f10875,f13783,f13783]) ).
fof(f14303,plain,
! [X0,X1] : m2_relset_1(np__0,X0,X1),
inference(definition_unfolding,[],[f10876,f13783]) ).
fof(f14304,plain,
! [X0] :
( sK111(X0) != sK112(X0)
| np__0 = X0 ),
inference(definition_unfolding,[],[f10883,f13783]) ).
fof(f14305,plain,
! [X0] :
( k1_relat_1(sK111(X0)) = X0
| np__0 = X0 ),
inference(definition_unfolding,[],[f10882,f13783]) ).
fof(f14306,plain,
! [X0] :
( k1_relat_1(sK112(X0)) = X0
| np__0 = X0 ),
inference(definition_unfolding,[],[f10881,f13783]) ).
fof(f14307,plain,
! [X0] :
( v1_relat_1(sK112(X0))
| np__0 = X0 ),
inference(definition_unfolding,[],[f10880,f13783]) ).
fof(f14308,plain,
! [X0] :
( v1_funct_1(sK112(X0))
| np__0 = X0 ),
inference(definition_unfolding,[],[f10879,f13783]) ).
fof(f14309,plain,
! [X0] :
( v1_relat_1(sK111(X0))
| np__0 = X0 ),
inference(definition_unfolding,[],[f10878,f13783]) ).
fof(f14310,plain,
! [X0] :
( v1_funct_1(sK111(X0))
| np__0 = X0 ),
inference(definition_unfolding,[],[f10877,f13783]) ).
fof(f14311,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| r2_hidden(sK113(X0,X1),X1)
| np__0 = X1 ),
inference(definition_unfolding,[],[f10885,f13783]) ).
fof(f14312,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| m1_subset_1(sK113(X0,X1),X0)
| np__0 = X1 ),
inference(definition_unfolding,[],[f10884,f13783]) ).
fof(f14313,plain,
! [X0] : m1_subset_1(np__0,k1_zfmisc_1(X0)),
inference(definition_unfolding,[],[f10886,f13783]) ).
fof(f14314,plain,
! [X0] :
( r2_hidden(sK114(X0),X0)
| np__0 = X0 ),
inference(definition_unfolding,[],[f10888,f13783]) ).
fof(f14315,plain,
! [X2,X0] :
( np__0 != X0
| ~ r2_hidden(X2,X0) ),
inference(definition_unfolding,[],[f10887,f13783]) ).
fof(f14317,plain,
! [X2,X3,X0,X1] :
( ~ m2_relset_1(X3,X0,X1)
| ~ v1_funct_2(X3,X0,X1)
| ~ v1_funct_1(X3)
| ~ r1_tarski(k2_relat_1(X3),X2)
| v1_funct_2(X3,X0,X2)
| np__0 = X1 ),
inference(definition_unfolding,[],[f10893,f13783]) ).
fof(f14318,plain,
! [X2,X3,X0,X1] :
( ~ m2_relset_1(X3,X0,X1)
| ~ v1_funct_2(X3,X0,X1)
| ~ v1_funct_1(X3)
| ~ r1_tarski(k2_relat_1(X3),X2)
| m2_relset_1(X3,X0,X2)
| np__0 = X1 ),
inference(definition_unfolding,[],[f10892,f13783]) ).
fof(f14320,plain,
! [X2,X3,X0,X1] :
( ~ m2_relset_1(X3,X0,X1)
| ~ v1_funct_2(X3,X0,X1)
| ~ v1_funct_1(X3)
| ~ r1_tarski(k2_relat_1(X3),X2)
| v1_funct_2(X3,X0,X2)
| np__0 != X0 ),
inference(definition_unfolding,[],[f10890,f13783]) ).
fof(f14321,plain,
! [X2,X3,X0,X1] :
( ~ m2_relset_1(X3,X0,X1)
| ~ v1_funct_2(X3,X0,X1)
| ~ v1_funct_1(X3)
| ~ r1_tarski(k2_relat_1(X3),X2)
| m2_relset_1(X3,X0,X2)
| np__0 != X0 ),
inference(definition_unfolding,[],[f10889,f13783]) ).
fof(f14323,plain,
! [X2,X0,X1] :
( ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| k2_relat_1(X2) != np__0
| m2_relset_1(X2,X0,X1) ),
inference(definition_unfolding,[],[f10901,f13783]) ).
fof(f14325,plain,
! [X0,X1] :
( k1_relat_1(sK115(X0,X1)) = X1
| np__0 = X0 ),
inference(definition_unfolding,[],[f10923,f13783]) ).
fof(f14326,plain,
! [X0,X1] :
( r1_tarski(k2_relat_1(sK115(X0,X1)),X0)
| np__0 = X0 ),
inference(definition_unfolding,[],[f10922,f13783]) ).
fof(f14327,plain,
! [X0,X1] :
( v1_relat_1(sK115(X0,X1))
| np__0 = X0 ),
inference(definition_unfolding,[],[f10921,f13783]) ).
fof(f14328,plain,
! [X0,X1] :
( v1_funct_1(sK115(X0,X1))
| np__0 = X0 ),
inference(definition_unfolding,[],[f10920,f13783]) ).
fof(f14329,plain,
! [X0,X1] :
( k1_relat_1(sK115(X0,X1)) = X1
| np__0 != X1 ),
inference(definition_unfolding,[],[f10919,f13783]) ).
fof(f14330,plain,
! [X0,X1] :
( r1_tarski(k2_relat_1(sK115(X0,X1)),X0)
| np__0 != X1 ),
inference(definition_unfolding,[],[f10918,f13783]) ).
fof(f14331,plain,
! [X0,X1] :
( v1_relat_1(sK115(X0,X1))
| np__0 != X1 ),
inference(definition_unfolding,[],[f10917,f13783]) ).
fof(f14332,plain,
! [X0,X1] :
( v1_funct_1(sK115(X0,X1))
| np__0 != X1 ),
inference(definition_unfolding,[],[f10916,f13783]) ).
fof(f14333,plain,
! [X0] :
( ~ v1_relat_1(X0)
| k2_relat_1(X0) != np__0
| k1_relat_1(X0) = np__0 ),
inference(definition_unfolding,[],[f10925,f13783,f13783]) ).
fof(f14334,plain,
! [X0] :
( ~ v1_relat_1(X0)
| k1_relat_1(X0) != np__0
| k2_relat_1(X0) = np__0 ),
inference(definition_unfolding,[],[f10924,f13783,f13783]) ).
fof(f14335,plain,
! [X0] :
( ~ v1_relat_1(X0)
| k1_relat_1(X0) != np__0
| np__0 = X0 ),
inference(definition_unfolding,[],[f10927,f13783,f13783]) ).
fof(f14336,plain,
! [X0] :
( ~ v1_relat_1(X0)
| k2_relat_1(X0) != np__0
| np__0 = X0 ),
inference(definition_unfolding,[],[f10926,f13783,f13783]) ).
fof(f14337,plain,
np__0 = k1_relat_1(np__0),
inference(definition_unfolding,[],[f10929,f13783,f13783]) ).
fof(f14338,plain,
np__0 = k2_relat_1(np__0),
inference(definition_unfolding,[],[f10928,f13783,f13783]) ).
fof(f14340,plain,
! [X2,X0,X1] :
( ~ v1_relat_1(X2)
| ~ r2_hidden(k2_tarski(k2_tarski(X0,X1),k2_enumset1(X0,X0,X0,X0)),X2)
| r2_hidden(X1,k2_relat_1(X2)) ),
inference(definition_unfolding,[],[f10934,f14052]) ).
fof(f14341,plain,
! [X3,X0,X1] :
( ~ v1_relat_1(X0)
| ~ r2_hidden(sK118(X0,X1),X1)
| ~ r2_hidden(k2_tarski(k2_tarski(X3,sK118(X0,X1)),k2_enumset1(X3,X3,X3,X3)),X0)
| k2_relat_1(X0) = X1 ),
inference(definition_unfolding,[],[f10941,f14052]) ).
fof(f14342,plain,
! [X0,X1] :
( ~ v1_relat_1(X0)
| r2_hidden(sK118(X0,X1),X1)
| r2_hidden(k2_tarski(k2_tarski(sK119(X0,X1),sK118(X0,X1)),k2_enumset1(sK119(X0,X1),sK119(X0,X1),sK119(X0,X1),sK119(X0,X1))),X0)
| k2_relat_1(X0) = X1 ),
inference(definition_unfolding,[],[f10940,f14052]) ).
fof(f14344,plain,
! [X0,X1,X5] :
( ~ v1_relat_1(X0)
| k2_relat_1(X0) != X1
| ~ r2_hidden(X5,X1)
| r2_hidden(k2_tarski(k2_tarski(sK120(X0,X5),X5),k2_enumset1(sK120(X0,X5),sK120(X0,X5),sK120(X0,X5),sK120(X0,X5))),X0) ),
inference(definition_unfolding,[],[f10938,f14052]) ).
fof(f14345,plain,
! [X2,X3,X0,X1] :
( k2_tarski(k2_tarski(sK122(X0,X1,X3),sK123(X0,X1,X3)),k2_enumset1(sK122(X0,X1,X3),sK122(X0,X1,X3),sK122(X0,X1,X3),sK122(X0,X1,X3))) = X3
| ~ r1_tarski(X2,k2_zfmisc_1(X0,X1))
| ~ r2_hidden(X3,X2) ),
inference(definition_unfolding,[],[f10953,f14052]) ).
fof(f14346,plain,
! [X2,X3,X0] :
( r1_tarski(X0,k2_zfmisc_1(sK125(X0),sK126(X0)))
| sK124(X0) != k2_tarski(k2_tarski(X2,X3),k2_enumset1(X2,X2,X2,X2)) ),
inference(definition_unfolding,[],[f10954,f14052]) ).
fof(f14347,plain,
! [X0] :
( r2_hidden(sK127(X0),X0)
| np__0 = X0 ),
inference(definition_unfolding,[],[f10958,f13783]) ).
fof(f14348,plain,
! [X2,X3,X0] :
( sK127(X0) != k2_tarski(k2_tarski(X2,X3),k2_enumset1(X2,X2,X2,X2))
| ~ r2_hidden(X2,X0)
| np__0 = X0 ),
inference(definition_unfolding,[],[f10957,f13783,f14052]) ).
fof(f14349,plain,
! [X2,X3,X0] :
( sK127(X0) != k2_tarski(k2_tarski(X2,X3),k2_enumset1(X2,X2,X2,X2))
| ~ r2_hidden(X3,X0)
| np__0 = X0 ),
inference(definition_unfolding,[],[f10956,f13783,f14052]) ).
fof(f14350,plain,
! [X2,X3,X0,X1] :
( ~ m2_relset_1(X3,X0,X1)
| k2_tarski(k2_tarski(sK128(X0,X1,X2),sK129(X0,X1,X2)),k2_enumset1(sK128(X0,X1,X2),sK128(X0,X1,X2),sK128(X0,X1,X2),sK128(X0,X1,X2))) = X2
| ~ r2_hidden(X2,X3) ),
inference(definition_unfolding,[],[f10961,f14052]) ).
fof(f14353,plain,
! [X2,X3,X0] :
( sP9(X0)
| sK133(X0) != k2_tarski(k2_tarski(X2,X3),k2_enumset1(X2,X2,X2,X2))
| v1_relat_1(X0) ),
inference(definition_unfolding,[],[f10967,f14052]) ).
fof(f14354,plain,
! [X2,X3,X0] :
( sP9(X0)
| sK133(X0) != k2_tarski(k2_tarski(X2,X3),k2_enumset1(X2,X2,X2,X2))
| v1_funct_1(X0) ),
inference(definition_unfolding,[],[f10965,f14052]) ).
fof(f14355,plain,
! [X0] :
( r2_hidden(k2_tarski(k2_tarski(sK134(X0),sK135(X0)),k2_enumset1(sK134(X0),sK134(X0),sK134(X0),sK134(X0))),X0)
| v1_funct_1(X0) ),
inference(definition_unfolding,[],[f10971,f14052]) ).
fof(f14356,plain,
! [X0] :
( r2_hidden(k2_tarski(k2_tarski(sK134(X0),sK136(X0)),k2_enumset1(sK134(X0),sK134(X0),sK134(X0),sK134(X0))),X0)
| v1_funct_1(X0) ),
inference(definition_unfolding,[],[f10970,f14052]) ).
fof(f14357,plain,
! [X0,X6,X4,X5] :
( ~ v1_funct_1(X0)
| ~ r2_hidden(k2_tarski(k2_tarski(X4,X6),k2_enumset1(X4,X4,X4,X4)),X0)
| ~ r2_hidden(k2_tarski(k2_tarski(X4,X5),k2_enumset1(X4,X4,X4,X4)),X0)
| X5 = X6 ),
inference(definition_unfolding,[],[f10969,f14052,f14052]) ).
fof(f14358,plain,
! [X0] :
( ~ v1_relat_1(X0)
| r2_hidden(k2_tarski(k2_tarski(sK137(X0),sK138(X0)),k2_enumset1(sK137(X0),sK137(X0),sK137(X0),sK137(X0))),X0)
| np__0 = X0 ),
inference(definition_unfolding,[],[f10973,f13783,f14052]) ).
fof(f14359,plain,
! [X3,X0,X1] :
( ~ v1_relat_1(X0)
| ~ r2_hidden(sK139(X0,X1),X1)
| ~ r2_hidden(k2_tarski(k2_tarski(sK139(X0,X1),X3),k2_enumset1(sK139(X0,X1),sK139(X0,X1),sK139(X0,X1),sK139(X0,X1))),X0)
| k1_relat_1(X0) = X1 ),
inference(definition_unfolding,[],[f10977,f14052]) ).
fof(f14360,plain,
! [X0,X1] :
( ~ v1_relat_1(X0)
| r2_hidden(sK139(X0,X1),X1)
| r2_hidden(k2_tarski(k2_tarski(sK139(X0,X1),sK140(X0,X1)),k2_enumset1(sK139(X0,X1),sK139(X0,X1),sK139(X0,X1),sK139(X0,X1))),X0)
| k1_relat_1(X0) = X1 ),
inference(definition_unfolding,[],[f10976,f14052]) ).
fof(f14361,plain,
! [X0,X1,X6,X5] :
( ~ v1_relat_1(X0)
| k1_relat_1(X0) != X1
| ~ r2_hidden(k2_tarski(k2_tarski(X5,X6),k2_enumset1(X5,X5,X5,X5)),X0)
| r2_hidden(X5,X1) ),
inference(definition_unfolding,[],[f10975,f14052]) ).
fof(f14362,plain,
! [X0,X1,X5] :
( ~ v1_relat_1(X0)
| k1_relat_1(X0) != X1
| ~ r2_hidden(X5,X1)
| r2_hidden(k2_tarski(k2_tarski(X5,sK141(X0,X5)),k2_enumset1(X5,X5,X5,X5)),X0) ),
inference(definition_unfolding,[],[f10974,f14052]) ).
fof(f14363,plain,
! [X0,X1] :
( ~ v1_relat_1(X0)
| ~ v1_relat_1(X1)
| ~ r2_hidden(k2_tarski(k2_tarski(sK142(X0,X1),sK143(X0,X1)),k2_enumset1(sK142(X0,X1),sK142(X0,X1),sK142(X0,X1),sK142(X0,X1))),X1)
| r1_tarski(X0,X1) ),
inference(definition_unfolding,[],[f10980,f14052]) ).
fof(f14364,plain,
! [X0,X1] :
( ~ v1_relat_1(X0)
| ~ v1_relat_1(X1)
| r2_hidden(k2_tarski(k2_tarski(sK142(X0,X1),sK143(X0,X1)),k2_enumset1(sK142(X0,X1),sK142(X0,X1),sK142(X0,X1),sK142(X0,X1))),X0)
| r1_tarski(X0,X1) ),
inference(definition_unfolding,[],[f10979,f14052]) ).
fof(f14366,plain,
! [X0,X1] :
( ~ v1_relat_1(X0)
| ~ v1_relat_1(X1)
| ~ r2_hidden(k2_tarski(k2_tarski(sK144(X0,X1),sK145(X0,X1)),k2_enumset1(sK144(X0,X1),sK144(X0,X1),sK144(X0,X1),sK144(X0,X1))),X0)
| ~ r2_hidden(k2_tarski(k2_tarski(sK144(X0,X1),sK145(X0,X1)),k2_enumset1(sK144(X0,X1),sK144(X0,X1),sK144(X0,X1),sK144(X0,X1))),X1)
| X0 = X1 ),
inference(definition_unfolding,[],[f10984,f14052,f14052]) ).
fof(f14367,plain,
! [X0,X1] :
( ~ v1_relat_1(X0)
| ~ v1_relat_1(X1)
| r2_hidden(k2_tarski(k2_tarski(sK144(X0,X1),sK145(X0,X1)),k2_enumset1(sK144(X0,X1),sK144(X0,X1),sK144(X0,X1),sK144(X0,X1))),X0)
| r2_hidden(k2_tarski(k2_tarski(sK144(X0,X1),sK145(X0,X1)),k2_enumset1(sK144(X0,X1),sK144(X0,X1),sK144(X0,X1),sK144(X0,X1))),X1)
| X0 = X1 ),
inference(definition_unfolding,[],[f10983,f14052,f14052]) ).
fof(f14370,plain,
! [X2,X3,X0] :
( sK146(X0) != k2_tarski(k2_tarski(X2,X3),k2_enumset1(X2,X2,X2,X2))
| v1_relat_1(X0) ),
inference(definition_unfolding,[],[f10986,f14052]) ).
fof(f14371,plain,
! [X0,X4] :
( ~ v1_relat_1(X0)
| k2_tarski(k2_tarski(sK147(X4),sK148(X4)),k2_enumset1(sK147(X4),sK147(X4),sK147(X4),sK147(X4))) = X4
| ~ r2_hidden(X4,X0) ),
inference(definition_unfolding,[],[f10985,f14052]) ).
fof(f14372,plain,
! [X0,X1] :
( ~ r2_hidden(k2_tarski(k2_tarski(sK151(X0,X1),sK152(X0,X1)),k2_enumset1(sK151(X0,X1),sK151(X0,X1),sK151(X0,X1),sK151(X0,X1))),X0)
| ~ r2_hidden(k2_tarski(k2_tarski(sK151(X0,X1),sK152(X0,X1)),k2_enumset1(sK151(X0,X1),sK151(X0,X1),sK151(X0,X1),sK151(X0,X1))),X1)
| r2_hidden(sK150(X1),X1)
| r2_hidden(sK149(X0),X0)
| X0 = X1 ),
inference(definition_unfolding,[],[f10995,f14052,f14052]) ).
fof(f14373,plain,
! [X0,X1] :
( r2_hidden(k2_tarski(k2_tarski(sK151(X0,X1),sK152(X0,X1)),k2_enumset1(sK151(X0,X1),sK151(X0,X1),sK151(X0,X1),sK151(X0,X1))),X0)
| r2_hidden(k2_tarski(k2_tarski(sK151(X0,X1),sK152(X0,X1)),k2_enumset1(sK151(X0,X1),sK151(X0,X1),sK151(X0,X1),sK151(X0,X1))),X1)
| r2_hidden(sK150(X1),X1)
| r2_hidden(sK149(X0),X0)
| X0 = X1 ),
inference(definition_unfolding,[],[f10994,f14052,f14052]) ).
fof(f14374,plain,
! [X0,X1,X6,X7] :
( ~ r2_hidden(k2_tarski(k2_tarski(sK151(X0,X1),sK152(X0,X1)),k2_enumset1(sK151(X0,X1),sK151(X0,X1),sK151(X0,X1),sK151(X0,X1))),X0)
| ~ r2_hidden(k2_tarski(k2_tarski(sK151(X0,X1),sK152(X0,X1)),k2_enumset1(sK151(X0,X1),sK151(X0,X1),sK151(X0,X1),sK151(X0,X1))),X1)
| sK150(X1) != k2_tarski(k2_tarski(X6,X7),k2_enumset1(X6,X6,X6,X6))
| r2_hidden(sK149(X0),X0)
| X0 = X1 ),
inference(definition_unfolding,[],[f10993,f14052,f14052,f14052]) ).
fof(f14375,plain,
! [X0,X1,X6,X7] :
( r2_hidden(k2_tarski(k2_tarski(sK151(X0,X1),sK152(X0,X1)),k2_enumset1(sK151(X0,X1),sK151(X0,X1),sK151(X0,X1),sK151(X0,X1))),X0)
| r2_hidden(k2_tarski(k2_tarski(sK151(X0,X1),sK152(X0,X1)),k2_enumset1(sK151(X0,X1),sK151(X0,X1),sK151(X0,X1),sK151(X0,X1))),X1)
| sK150(X1) != k2_tarski(k2_tarski(X6,X7),k2_enumset1(X6,X6,X6,X6))
| r2_hidden(sK149(X0),X0)
| X0 = X1 ),
inference(definition_unfolding,[],[f10992,f14052,f14052,f14052]) ).
fof(f14376,plain,
! [X3,X0,X1,X4] :
( ~ r2_hidden(k2_tarski(k2_tarski(sK151(X0,X1),sK152(X0,X1)),k2_enumset1(sK151(X0,X1),sK151(X0,X1),sK151(X0,X1),sK151(X0,X1))),X0)
| ~ r2_hidden(k2_tarski(k2_tarski(sK151(X0,X1),sK152(X0,X1)),k2_enumset1(sK151(X0,X1),sK151(X0,X1),sK151(X0,X1),sK151(X0,X1))),X1)
| r2_hidden(sK150(X1),X1)
| sK149(X0) != k2_tarski(k2_tarski(X3,X4),k2_enumset1(X3,X3,X3,X3))
| X0 = X1 ),
inference(definition_unfolding,[],[f10991,f14052,f14052,f14052]) ).
fof(f14377,plain,
! [X3,X0,X1,X4] :
( r2_hidden(k2_tarski(k2_tarski(sK151(X0,X1),sK152(X0,X1)),k2_enumset1(sK151(X0,X1),sK151(X0,X1),sK151(X0,X1),sK151(X0,X1))),X0)
| r2_hidden(k2_tarski(k2_tarski(sK151(X0,X1),sK152(X0,X1)),k2_enumset1(sK151(X0,X1),sK151(X0,X1),sK151(X0,X1),sK151(X0,X1))),X1)
| r2_hidden(sK150(X1),X1)
| sK149(X0) != k2_tarski(k2_tarski(X3,X4),k2_enumset1(X3,X3,X3,X3))
| X0 = X1 ),
inference(definition_unfolding,[],[f10990,f14052,f14052,f14052]) ).
fof(f14378,plain,
! [X3,X0,X1,X6,X7,X4] :
( ~ r2_hidden(k2_tarski(k2_tarski(sK151(X0,X1),sK152(X0,X1)),k2_enumset1(sK151(X0,X1),sK151(X0,X1),sK151(X0,X1),sK151(X0,X1))),X0)
| ~ r2_hidden(k2_tarski(k2_tarski(sK151(X0,X1),sK152(X0,X1)),k2_enumset1(sK151(X0,X1),sK151(X0,X1),sK151(X0,X1),sK151(X0,X1))),X1)
| sK150(X1) != k2_tarski(k2_tarski(X6,X7),k2_enumset1(X6,X6,X6,X6))
| sK149(X0) != k2_tarski(k2_tarski(X3,X4),k2_enumset1(X3,X3,X3,X3))
| X0 = X1 ),
inference(definition_unfolding,[],[f10989,f14052,f14052,f14052,f14052]) ).
fof(f14379,plain,
! [X3,X0,X1,X6,X7,X4] :
( r2_hidden(k2_tarski(k2_tarski(sK151(X0,X1),sK152(X0,X1)),k2_enumset1(sK151(X0,X1),sK151(X0,X1),sK151(X0,X1),sK151(X0,X1))),X0)
| r2_hidden(k2_tarski(k2_tarski(sK151(X0,X1),sK152(X0,X1)),k2_enumset1(sK151(X0,X1),sK151(X0,X1),sK151(X0,X1),sK151(X0,X1))),X1)
| sK150(X1) != k2_tarski(k2_tarski(X6,X7),k2_enumset1(X6,X6,X6,X6))
| sK149(X0) != k2_tarski(k2_tarski(X3,X4),k2_enumset1(X3,X3,X3,X3))
| X0 = X1 ),
inference(definition_unfolding,[],[f10988,f14052,f14052,f14052,f14052]) ).
fof(f14380,plain,
! [X0,X1] :
( ~ r2_hidden(k2_tarski(k2_tarski(sK154(X0,X1),sK155(X0,X1)),k2_enumset1(sK154(X0,X1),sK154(X0,X1),sK154(X0,X1),sK154(X0,X1))),X1)
| r2_hidden(sK153(X0),X0)
| r1_tarski(X0,X1) ),
inference(definition_unfolding,[],[f10999,f14052]) ).
fof(f14381,plain,
! [X0,X1] :
( r2_hidden(k2_tarski(k2_tarski(sK154(X0,X1),sK155(X0,X1)),k2_enumset1(sK154(X0,X1),sK154(X0,X1),sK154(X0,X1),sK154(X0,X1))),X0)
| r2_hidden(sK153(X0),X0)
| r1_tarski(X0,X1) ),
inference(definition_unfolding,[],[f10998,f14052]) ).
fof(f14382,plain,
! [X3,X0,X1,X4] :
( ~ r2_hidden(k2_tarski(k2_tarski(sK154(X0,X1),sK155(X0,X1)),k2_enumset1(sK154(X0,X1),sK154(X0,X1),sK154(X0,X1),sK154(X0,X1))),X1)
| sK153(X0) != k2_tarski(k2_tarski(X3,X4),k2_enumset1(X3,X3,X3,X3))
| r1_tarski(X0,X1) ),
inference(definition_unfolding,[],[f10997,f14052,f14052]) ).
fof(f14383,plain,
! [X3,X0,X1,X4] :
( r2_hidden(k2_tarski(k2_tarski(sK154(X0,X1),sK155(X0,X1)),k2_enumset1(sK154(X0,X1),sK154(X0,X1),sK154(X0,X1),sK154(X0,X1))),X0)
| sK153(X0) != k2_tarski(k2_tarski(X3,X4),k2_enumset1(X3,X3,X3,X3))
| r1_tarski(X0,X1) ),
inference(definition_unfolding,[],[f10996,f14052,f14052]) ).
fof(f14384,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ r2_hidden(k2_tarski(k2_tarski(sK156(X0,X3),sK157(X0,X3)),k2_enumset1(sK156(X0,X3),sK156(X0,X3),sK156(X0,X3),sK156(X0,X3))),X0)
| ~ r2_hidden(k2_tarski(k2_tarski(sK156(X0,X3),sK157(X0,X3)),k2_enumset1(sK156(X0,X3),sK156(X0,X3),sK156(X0,X3),sK156(X0,X3))),X3)
| ~ r1_tarski(X3,k2_zfmisc_1(X4,X5))
| ~ r1_tarski(X0,k2_zfmisc_1(X1,X2))
| X0 = X3 ),
inference(definition_unfolding,[],[f11001,f14052,f14052]) ).
fof(f14385,plain,
! [X2,X3,X0,X1,X4,X5] :
( r2_hidden(k2_tarski(k2_tarski(sK156(X0,X3),sK157(X0,X3)),k2_enumset1(sK156(X0,X3),sK156(X0,X3),sK156(X0,X3),sK156(X0,X3))),X0)
| r2_hidden(k2_tarski(k2_tarski(sK156(X0,X3),sK157(X0,X3)),k2_enumset1(sK156(X0,X3),sK156(X0,X3),sK156(X0,X3),sK156(X0,X3))),X3)
| ~ r1_tarski(X3,k2_zfmisc_1(X4,X5))
| ~ r1_tarski(X0,k2_zfmisc_1(X1,X2))
| X0 = X3 ),
inference(definition_unfolding,[],[f11000,f14052,f14052]) ).
fof(f14386,plain,
! [X2,X3,X0,X1] :
( ~ r2_hidden(k2_tarski(k2_tarski(sK158(X0,X3),sK159(X0,X3)),k2_enumset1(sK158(X0,X3),sK158(X0,X3),sK158(X0,X3),sK158(X0,X3))),X3)
| ~ r1_tarski(X0,k2_zfmisc_1(X1,X2))
| r1_tarski(X0,X3) ),
inference(definition_unfolding,[],[f11003,f14052]) ).
fof(f14387,plain,
! [X2,X3,X0,X1] :
( r2_hidden(k2_tarski(k2_tarski(sK158(X0,X3),sK159(X0,X3)),k2_enumset1(sK158(X0,X3),sK158(X0,X3),sK158(X0,X3),sK158(X0,X3))),X0)
| ~ r1_tarski(X0,k2_zfmisc_1(X1,X2))
| r1_tarski(X0,X3) ),
inference(definition_unfolding,[],[f11002,f14052]) ).
fof(f14388,plain,
! [X2,X3,X0,X1] :
( ~ r2_hidden(k2_tarski(k2_tarski(sK160(X0,X1,X2,X3),sK161(X0,X1,X2,X3)),k2_enumset1(sK160(X0,X1,X2,X3),sK160(X0,X1,X2,X3),sK160(X0,X1,X2,X3),sK160(X0,X1,X2,X3))),k2_zfmisc_1(X0,X1))
| ~ r2_hidden(k2_tarski(k2_tarski(sK160(X0,X1,X2,X3),sK161(X0,X1,X2,X3)),k2_enumset1(sK160(X0,X1,X2,X3),sK160(X0,X1,X2,X3),sK160(X0,X1,X2,X3),sK160(X0,X1,X2,X3))),k2_zfmisc_1(X2,X3))
| k2_zfmisc_1(X0,X1) = k2_zfmisc_1(X2,X3) ),
inference(definition_unfolding,[],[f11005,f14052,f14052]) ).
fof(f14389,plain,
! [X2,X3,X0,X1] :
( r2_hidden(k2_tarski(k2_tarski(sK160(X0,X1,X2,X3),sK161(X0,X1,X2,X3)),k2_enumset1(sK160(X0,X1,X2,X3),sK160(X0,X1,X2,X3),sK160(X0,X1,X2,X3),sK160(X0,X1,X2,X3))),k2_zfmisc_1(X0,X1))
| r2_hidden(k2_tarski(k2_tarski(sK160(X0,X1,X2,X3),sK161(X0,X1,X2,X3)),k2_enumset1(sK160(X0,X1,X2,X3),sK160(X0,X1,X2,X3),sK160(X0,X1,X2,X3),sK160(X0,X1,X2,X3))),k2_zfmisc_1(X2,X3))
| k2_zfmisc_1(X0,X1) = k2_zfmisc_1(X2,X3) ),
inference(definition_unfolding,[],[f11004,f14052,f14052]) ).
fof(f14390,plain,
! [X2,X3,X0,X1] :
( ~ r2_hidden(k2_tarski(k2_tarski(X0,X1),k2_enumset1(X0,X0,X0,X0)),k2_zfmisc_1(X2,X3))
| r2_hidden(k2_tarski(k2_tarski(X1,X0),k2_enumset1(X1,X1,X1,X1)),k2_zfmisc_1(X3,X2)) ),
inference(definition_unfolding,[],[f11006,f14052,f14052]) ).
fof(f14391,plain,
! [X2,X3,X0,X1] :
( ~ r2_hidden(X1,X3)
| ~ r2_hidden(X0,X2)
| r2_hidden(k2_tarski(k2_tarski(X0,X1),k2_enumset1(X0,X0,X0,X0)),k2_zfmisc_1(X2,X3)) ),
inference(definition_unfolding,[],[f11009,f14052]) ).
fof(f14392,plain,
! [X2,X3,X0,X1] :
( ~ r2_hidden(k2_tarski(k2_tarski(X0,X1),k2_enumset1(X0,X0,X0,X0)),k2_zfmisc_1(X2,X3))
| r2_hidden(X0,X2) ),
inference(definition_unfolding,[],[f11008,f14052]) ).
fof(f14393,plain,
! [X2,X3,X0,X1] :
( ~ r2_hidden(k2_tarski(k2_tarski(X0,X1),k2_enumset1(X0,X0,X0,X0)),k2_zfmisc_1(X2,X3))
| r2_hidden(X1,X3) ),
inference(definition_unfolding,[],[f11007,f14052]) ).
fof(f14394,plain,
! [X2,X3,X0,X1] :
( k2_tarski(k2_tarski(sK162(X1,X2,X3),sK163(X1,X2,X3)),k2_enumset1(sK162(X1,X2,X3),sK162(X1,X2,X3),sK162(X1,X2,X3),sK162(X1,X2,X3))) = X3
| ~ r2_hidden(X3,X0)
| ~ r1_tarski(X0,k2_zfmisc_1(X1,X2)) ),
inference(definition_unfolding,[],[f11010,f14052]) ).
fof(f14395,plain,
! [X2,X0,X1] :
( k2_tarski(k2_tarski(sK164(X0),sK165(X0)),k2_enumset1(sK164(X0),sK164(X0),sK164(X0),sK164(X0))) = X0
| ~ r2_hidden(X0,k2_zfmisc_1(X1,X2)) ),
inference(definition_unfolding,[],[f11013,f14052]) ).
fof(f14396,plain,
! [X2,X3,X0,X1] :
( k2_tarski(k2_tarski(X0,X1),k2_enumset1(X0,X0,X0,X0)) != k2_tarski(k2_tarski(X2,X3),k2_enumset1(X2,X2,X2,X2))
| X0 = X2 ),
inference(definition_unfolding,[],[f11015,f14052,f14052]) ).
fof(f14397,plain,
! [X2,X3,X0,X1] :
( k2_tarski(k2_tarski(X0,X1),k2_enumset1(X0,X0,X0,X0)) != k2_tarski(k2_tarski(X2,X3),k2_enumset1(X2,X2,X2,X2))
| X1 = X3 ),
inference(definition_unfolding,[],[f11014,f14052,f14052]) ).
fof(f14398,plain,
! [X2,X0,X1,X4,X5] :
( ~ r2_hidden(sK166(X0,X1,X2),X2)
| sK166(X0,X1,X2) != k2_tarski(k2_tarski(X4,X5),k2_enumset1(X4,X4,X4,X4))
| ~ r2_hidden(X5,X1)
| ~ r2_hidden(X4,X0)
| k2_zfmisc_1(X0,X1) = X2 ),
inference(definition_unfolding,[],[f11023,f14052]) ).
fof(f14399,plain,
! [X2,X0,X1] :
( r2_hidden(sK166(X0,X1,X2),X2)
| sK166(X0,X1,X2) = k2_tarski(k2_tarski(sK167(X0,X1,X2),sK168(X0,X1,X2)),k2_enumset1(sK167(X0,X1,X2),sK167(X0,X1,X2),sK167(X0,X1,X2),sK167(X0,X1,X2)))
| k2_zfmisc_1(X0,X1) = X2 ),
inference(definition_unfolding,[],[f11020,f14052]) ).
fof(f14401,plain,
! [X2,X0,X1,X8] :
( k2_zfmisc_1(X0,X1) != X2
| ~ r2_hidden(X8,X2)
| k2_tarski(k2_tarski(sK169(X0,X1,X8),sK170(X0,X1,X8)),k2_enumset1(sK169(X0,X1,X8),sK169(X0,X1,X8),sK169(X0,X1,X8),sK169(X0,X1,X8))) = X8 ),
inference(definition_unfolding,[],[f11016,f14052]) ).
fof(f14403,plain,
! [X2,X0,X1] :
( v1_realset1(X0)
| ~ m1_subset_1(X1,X0)
| ~ m3_realset1(X2,X0,X1)
| v1_funct_1(k1_realset1(X2,k4_xboole_0(X0,k2_enumset1(X1,X1,X1,X1)))) ),
inference(definition_unfolding,[],[f11202,f14051]) ).
fof(f14404,plain,
! [X2,X0,X1] :
( v1_realset1(X0)
| ~ m1_subset_1(X1,X0)
| ~ m3_realset1(X2,X0,X1)
| v1_funct_2(k1_realset1(X2,k4_xboole_0(X0,k2_enumset1(X1,X1,X1,X1))),k2_zfmisc_1(k4_xboole_0(X0,k2_enumset1(X1,X1,X1,X1)),k4_xboole_0(X0,k2_enumset1(X1,X1,X1,X1))),k4_xboole_0(X0,k2_enumset1(X1,X1,X1,X1))) ),
inference(definition_unfolding,[],[f11201,f14051,f14051,f14051,f14051]) ).
fof(f14405,plain,
! [X2,X0,X1] :
( v1_realset1(X0)
| ~ m1_subset_1(X1,X0)
| ~ m3_realset1(X2,X0,X1)
| m2_relset_1(k1_realset1(X2,k4_xboole_0(X0,k2_enumset1(X1,X1,X1,X1))),k2_zfmisc_1(k4_xboole_0(X0,k2_enumset1(X1,X1,X1,X1)),k4_xboole_0(X0,k2_enumset1(X1,X1,X1,X1))),k4_xboole_0(X0,k2_enumset1(X1,X1,X1,X1))) ),
inference(definition_unfolding,[],[f11200,f14051,f14051,f14051,f14051]) ).
fof(f14406,plain,
! [X2,X3,X0,X1] :
( ~ m2_relset_1(X3,X0,X0)
| ~ v1_partfun1(X3,X0,X0)
| ~ v3_relat_2(X3)
| ~ r2_hidden(k2_tarski(k2_tarski(X1,X2),k2_enumset1(X1,X1,X1,X1)),X3)
| r2_hidden(k2_tarski(k2_tarski(X2,X1),k2_enumset1(X2,X2,X2,X2)),X3) ),
inference(definition_unfolding,[],[f11348,f14052,f14052]) ).
fof(f14407,plain,
! [X0,X1] :
( ~ v1_relat_1(X0)
| ~ v1_relat_1(X1)
| ~ v3_relat_2(X1)
| ~ v3_relat_2(X0)
| v3_relat_2(k3_tarski(k2_tarski(X0,X1))) ),
inference(definition_unfolding,[],[f11351,f12734]) ).
fof(f14408,plain,
! [X0,X1] :
( ~ v1_relat_1(X0)
| ~ v1_relat_1(X1)
| ~ v3_relat_2(X1)
| ~ v3_relat_2(X0)
| v3_relat_2(k4_xboole_0(X0,k4_xboole_0(X0,X1))) ),
inference(definition_unfolding,[],[f11350,f10579]) ).
fof(f14411,plain,
! [X2,X3,X0,X1,X4] :
( ~ m2_relset_1(X4,X0,X0)
| ~ v1_partfun1(X4,X0,X0)
| ~ v8_relat_2(X4)
| ~ r2_hidden(k2_tarski(k2_tarski(X2,X3),k2_enumset1(X2,X2,X2,X2)),X4)
| ~ r2_hidden(k2_tarski(k2_tarski(X1,X2),k2_enumset1(X1,X1,X1,X1)),X4)
| r2_hidden(k2_tarski(k2_tarski(X1,X3),k2_enumset1(X1,X1,X1,X1)),X4) ),
inference(definition_unfolding,[],[f11354,f14052,f14052,f14052]) ).
fof(f14412,plain,
! [X0,X1] :
( ~ v1_relat_1(X0)
| ~ v1_relat_1(X1)
| ~ v8_relat_2(X1)
| ~ v8_relat_2(X0)
| v8_relat_2(k4_xboole_0(X0,k4_xboole_0(X0,X1))) ),
inference(definition_unfolding,[],[f11357,f10579]) ).
fof(f14415,plain,
! [X0,X1] :
( ~ m2_relset_1(X1,np__0,X0)
| ~ v1_funct_1(X1)
| v1_partfun1(X1,np__0,X0) ),
inference(definition_unfolding,[],[f11372,f13783,f13783]) ).
fof(f14416,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X2,X0,X1)
| ~ v1_funct_1(X2)
| np__0 != X1
| ~ v1_partfun1(X2,X0,X1)
| np__0 = X0 ),
inference(definition_unfolding,[],[f11373,f13783,f13783]) ).
fof(f14417,plain,
! [X2,X0,X1] :
( np__0 = X0
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ m1_subset_1(X2,X0)
| r2_hidden(X2,X1)
| r2_hidden(X2,k3_subset_1(X0,X1)) ),
inference(definition_unfolding,[],[f11518,f13783]) ).
fof(f14418,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ r1_tarski(X1,k3_subset_1(X0,X2))
| ~ r1_tarski(X1,X2)
| np__0 = X1 ),
inference(definition_unfolding,[],[f11526,f13783]) ).
fof(f14419,plain,
! [X0,X1] :
( ~ v5_membered(X0)
| v1_membered(k4_xboole_0(X1,k4_xboole_0(X1,X0))) ),
inference(definition_unfolding,[],[f11572,f10579]) ).
fof(f14420,plain,
! [X0,X1] :
( ~ v5_membered(X0)
| v2_membered(k4_xboole_0(X1,k4_xboole_0(X1,X0))) ),
inference(definition_unfolding,[],[f11571,f10579]) ).
fof(f14421,plain,
! [X0,X1] :
( ~ v5_membered(X0)
| v3_membered(k4_xboole_0(X1,k4_xboole_0(X1,X0))) ),
inference(definition_unfolding,[],[f11570,f10579]) ).
fof(f14422,plain,
! [X0,X1] :
( ~ v5_membered(X0)
| v4_membered(k4_xboole_0(X1,k4_xboole_0(X1,X0))) ),
inference(definition_unfolding,[],[f11569,f10579]) ).
fof(f14423,plain,
! [X0,X1] :
( ~ v5_membered(X0)
| v5_membered(k4_xboole_0(X1,k4_xboole_0(X1,X0))) ),
inference(definition_unfolding,[],[f11568,f10579]) ).
fof(f14429,plain,
! [X0,X1] :
( ~ v5_membered(X1)
| ~ v5_membered(X0)
| v1_membered(k3_tarski(k2_tarski(X0,X1))) ),
inference(definition_unfolding,[],[f11582,f12734]) ).
fof(f14430,plain,
! [X0,X1] :
( ~ v5_membered(X1)
| ~ v5_membered(X0)
| v2_membered(k3_tarski(k2_tarski(X0,X1))) ),
inference(definition_unfolding,[],[f11581,f12734]) ).
fof(f14431,plain,
! [X0,X1] :
( ~ v5_membered(X1)
| ~ v5_membered(X0)
| v3_membered(k3_tarski(k2_tarski(X0,X1))) ),
inference(definition_unfolding,[],[f11580,f12734]) ).
fof(f14432,plain,
! [X0,X1] :
( ~ v5_membered(X1)
| ~ v5_membered(X0)
| v4_membered(k3_tarski(k2_tarski(X0,X1))) ),
inference(definition_unfolding,[],[f11579,f12734]) ).
fof(f14433,plain,
! [X0,X1] :
( ~ v5_membered(X1)
| ~ v5_membered(X0)
| v5_membered(k3_tarski(k2_tarski(X0,X1))) ),
inference(definition_unfolding,[],[f11578,f12734]) ).
fof(f14434,plain,
! [X2,X0,X1] :
( ~ v4_ordinal2(X2)
| ~ v4_ordinal2(X1)
| ~ v4_ordinal2(X0)
| v1_membered(k2_enumset1(X0,X0,X1,X2)) ),
inference(definition_unfolding,[],[f11592,f12862]) ).
fof(f14435,plain,
! [X2,X0,X1] :
( ~ v4_ordinal2(X2)
| ~ v4_ordinal2(X1)
| ~ v4_ordinal2(X0)
| v2_membered(k2_enumset1(X0,X0,X1,X2)) ),
inference(definition_unfolding,[],[f11591,f12862]) ).
fof(f14436,plain,
! [X2,X0,X1] :
( ~ v4_ordinal2(X2)
| ~ v4_ordinal2(X1)
| ~ v4_ordinal2(X0)
| v3_membered(k2_enumset1(X0,X0,X1,X2)) ),
inference(definition_unfolding,[],[f11590,f12862]) ).
fof(f14437,plain,
! [X2,X0,X1] :
( ~ v4_ordinal2(X2)
| ~ v4_ordinal2(X1)
| ~ v4_ordinal2(X0)
| v4_membered(k2_enumset1(X0,X0,X1,X2)) ),
inference(definition_unfolding,[],[f11589,f12862]) ).
fof(f14438,plain,
! [X2,X0,X1] :
( ~ v4_ordinal2(X2)
| ~ v4_ordinal2(X1)
| ~ v4_ordinal2(X0)
| v5_membered(k2_enumset1(X0,X0,X1,X2)) ),
inference(definition_unfolding,[],[f11588,f12862]) ).
fof(f14439,plain,
! [X0] :
( ~ v4_ordinal2(X0)
| v1_membered(k2_enumset1(X0,X0,X0,X0)) ),
inference(definition_unfolding,[],[f11602,f14051]) ).
fof(f14440,plain,
! [X0] :
( ~ v4_ordinal2(X0)
| v2_membered(k2_enumset1(X0,X0,X0,X0)) ),
inference(definition_unfolding,[],[f11601,f14051]) ).
fof(f14441,plain,
! [X0] :
( ~ v4_ordinal2(X0)
| v3_membered(k2_enumset1(X0,X0,X0,X0)) ),
inference(definition_unfolding,[],[f11600,f14051]) ).
fof(f14442,plain,
! [X0] :
( ~ v4_ordinal2(X0)
| v4_membered(k2_enumset1(X0,X0,X0,X0)) ),
inference(definition_unfolding,[],[f11599,f14051]) ).
fof(f14443,plain,
! [X0] :
( ~ v4_ordinal2(X0)
| v5_membered(k2_enumset1(X0,X0,X0,X0)) ),
inference(definition_unfolding,[],[f11598,f14051]) ).
fof(f14445,plain,
v1_membered(np__0),
inference(definition_unfolding,[],[f11612,f13783]) ).
fof(f14446,plain,
v2_membered(np__0),
inference(definition_unfolding,[],[f11611,f13783]) ).
fof(f14447,plain,
v3_membered(np__0),
inference(definition_unfolding,[],[f11610,f13783]) ).
fof(f14448,plain,
v4_membered(np__0),
inference(definition_unfolding,[],[f11609,f13783]) ).
fof(f14449,plain,
v5_membered(np__0),
inference(definition_unfolding,[],[f11608,f13783]) ).
fof(f14450,plain,
! [X0,X1] :
( ~ v4_membered(X0)
| v1_membered(k4_xboole_0(X1,k4_xboole_0(X1,X0))) ),
inference(definition_unfolding,[],[f11661,f10579]) ).
fof(f14451,plain,
! [X0,X1] :
( ~ v4_membered(X0)
| v2_membered(k4_xboole_0(X1,k4_xboole_0(X1,X0))) ),
inference(definition_unfolding,[],[f11660,f10579]) ).
fof(f14452,plain,
! [X0,X1] :
( ~ v4_membered(X0)
| v3_membered(k4_xboole_0(X1,k4_xboole_0(X1,X0))) ),
inference(definition_unfolding,[],[f11659,f10579]) ).
fof(f14453,plain,
! [X0,X1] :
( ~ v4_membered(X0)
| v4_membered(k4_xboole_0(X1,k4_xboole_0(X1,X0))) ),
inference(definition_unfolding,[],[f11658,f10579]) ).
fof(f14458,plain,
! [X0,X1] :
( ~ v4_membered(X1)
| ~ v4_membered(X0)
| v1_membered(k3_tarski(k2_tarski(X0,X1))) ),
inference(definition_unfolding,[],[f11669,f12734]) ).
fof(f14459,plain,
! [X0,X1] :
( ~ v4_membered(X1)
| ~ v4_membered(X0)
| v2_membered(k3_tarski(k2_tarski(X0,X1))) ),
inference(definition_unfolding,[],[f11668,f12734]) ).
fof(f14460,plain,
! [X0,X1] :
( ~ v4_membered(X1)
| ~ v4_membered(X0)
| v3_membered(k3_tarski(k2_tarski(X0,X1))) ),
inference(definition_unfolding,[],[f11667,f12734]) ).
fof(f14461,plain,
! [X0,X1] :
( ~ v4_membered(X1)
| ~ v4_membered(X0)
| v4_membered(k3_tarski(k2_tarski(X0,X1))) ),
inference(definition_unfolding,[],[f11666,f12734]) ).
fof(f14462,plain,
! [X2,X0,X1] :
( ~ v1_int_1(X2)
| ~ v1_int_1(X1)
| ~ v1_int_1(X0)
| v1_membered(k2_enumset1(X0,X0,X1,X2)) ),
inference(definition_unfolding,[],[f11677,f12862]) ).
fof(f14463,plain,
! [X2,X0,X1] :
( ~ v1_int_1(X2)
| ~ v1_int_1(X1)
| ~ v1_int_1(X0)
| v2_membered(k2_enumset1(X0,X0,X1,X2)) ),
inference(definition_unfolding,[],[f11676,f12862]) ).
fof(f14464,plain,
! [X2,X0,X1] :
( ~ v1_int_1(X2)
| ~ v1_int_1(X1)
| ~ v1_int_1(X0)
| v3_membered(k2_enumset1(X0,X0,X1,X2)) ),
inference(definition_unfolding,[],[f11675,f12862]) ).
fof(f14465,plain,
! [X2,X0,X1] :
( ~ v1_int_1(X2)
| ~ v1_int_1(X1)
| ~ v1_int_1(X0)
| v4_membered(k2_enumset1(X0,X0,X1,X2)) ),
inference(definition_unfolding,[],[f11674,f12862]) ).
fof(f14466,plain,
! [X0] :
( ~ v1_int_1(X0)
| v1_membered(k2_enumset1(X0,X0,X0,X0)) ),
inference(definition_unfolding,[],[f11685,f14051]) ).
fof(f14467,plain,
! [X0] :
( ~ v1_int_1(X0)
| v2_membered(k2_enumset1(X0,X0,X0,X0)) ),
inference(definition_unfolding,[],[f11684,f14051]) ).
fof(f14468,plain,
! [X0] :
( ~ v1_int_1(X0)
| v3_membered(k2_enumset1(X0,X0,X0,X0)) ),
inference(definition_unfolding,[],[f11683,f14051]) ).
fof(f14469,plain,
! [X0] :
( ~ v1_int_1(X0)
| v4_membered(k2_enumset1(X0,X0,X0,X0)) ),
inference(definition_unfolding,[],[f11682,f14051]) ).
fof(f14470,plain,
! [X0,X1] :
( ~ v3_membered(X0)
| v1_membered(k4_xboole_0(X1,k4_xboole_0(X1,X0))) ),
inference(definition_unfolding,[],[f11708,f10579]) ).
fof(f14471,plain,
! [X0,X1] :
( ~ v3_membered(X0)
| v2_membered(k4_xboole_0(X1,k4_xboole_0(X1,X0))) ),
inference(definition_unfolding,[],[f11707,f10579]) ).
fof(f14472,plain,
! [X0,X1] :
( ~ v3_membered(X0)
| v3_membered(k4_xboole_0(X1,k4_xboole_0(X1,X0))) ),
inference(definition_unfolding,[],[f11706,f10579]) ).
fof(f14476,plain,
! [X0,X1] :
( ~ v3_membered(X1)
| ~ v3_membered(X0)
| v1_membered(k3_tarski(k2_tarski(X0,X1))) ),
inference(definition_unfolding,[],[f11714,f12734]) ).
fof(f14477,plain,
! [X0,X1] :
( ~ v3_membered(X1)
| ~ v3_membered(X0)
| v2_membered(k3_tarski(k2_tarski(X0,X1))) ),
inference(definition_unfolding,[],[f11713,f12734]) ).
fof(f14478,plain,
! [X0,X1] :
( ~ v3_membered(X1)
| ~ v3_membered(X0)
| v3_membered(k3_tarski(k2_tarski(X0,X1))) ),
inference(definition_unfolding,[],[f11712,f12734]) ).
fof(f14479,plain,
! [X0,X1] :
( ~ v2_membered(X0)
| v1_membered(k4_xboole_0(X1,k4_xboole_0(X1,X0))) ),
inference(definition_unfolding,[],[f11753,f10579]) ).
fof(f14480,plain,
! [X0,X1] :
( ~ v2_membered(X0)
| v2_membered(k4_xboole_0(X1,k4_xboole_0(X1,X0))) ),
inference(definition_unfolding,[],[f11752,f10579]) ).
fof(f14483,plain,
! [X0,X1] :
( ~ v2_membered(X1)
| ~ v2_membered(X0)
| v1_membered(k3_tarski(k2_tarski(X0,X1))) ),
inference(definition_unfolding,[],[f11757,f12734]) ).
fof(f14484,plain,
! [X0,X1] :
( ~ v2_membered(X1)
| ~ v2_membered(X0)
| v2_membered(k3_tarski(k2_tarski(X0,X1))) ),
inference(definition_unfolding,[],[f11756,f12734]) ).
fof(f14485,plain,
! [X0] :
( ~ v1_xreal_0(X0)
| v1_membered(k2_enumset1(X0,X0,X0,X0)) ),
inference(definition_unfolding,[],[f11763,f14051]) ).
fof(f14486,plain,
! [X0] :
( ~ v1_xreal_0(X0)
| v2_membered(k2_enumset1(X0,X0,X0,X0)) ),
inference(definition_unfolding,[],[f11762,f14051]) ).
fof(f14487,plain,
! [X0,X1] :
( ~ v1_membered(X0)
| v1_membered(k4_xboole_0(X1,k4_xboole_0(X1,X0))) ),
inference(definition_unfolding,[],[f11794,f10579]) ).
fof(f14489,plain,
! [X0,X1] :
( ~ v1_membered(X1)
| ~ v1_membered(X0)
| v1_membered(k3_tarski(k2_tarski(X0,X1))) ),
inference(definition_unfolding,[],[f11796,f12734]) ).
fof(f14490,plain,
! [X0] :
( ~ v1_xcmplx_0(X0)
| v1_membered(k2_enumset1(X0,X0,X0,X0)) ),
inference(definition_unfolding,[],[f11799,f14051]) ).
fof(f14491,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| k4_subset_1(X0,X1,X2) = k3_tarski(k2_tarski(X1,X2)) ),
inference(definition_unfolding,[],[f11816,f12734]) ).
fof(f14492,plain,
! [X2,X3,X0,X1] :
( ~ m1_eqrel_1(X1,X0)
| ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| ~ m1_subset_1(X3,k1_zfmisc_1(X1))
| k3_tarski(k5_subset_1(X1,X2,X3)) = k4_xboole_0(k3_tarski(X2),k4_xboole_0(k3_tarski(X2),k3_tarski(X3))) ),
inference(definition_unfolding,[],[f11831,f10579]) ).
fof(f14493,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| k5_subset_1(X0,X1,X2) = k4_xboole_0(X1,k4_xboole_0(X1,X2)) ),
inference(definition_unfolding,[],[f11837,f10579]) ).
fof(f14494,plain,
! [X0,X1] :
( v1_xboole_0(X0)
| ~ m1_subset_1(X1,k5_finsub_1(X0))
| r2_hidden(sK257(X0,X1),X1)
| np__0 = X1 ),
inference(definition_unfolding,[],[f11853,f13783]) ).
fof(f14495,plain,
! [X0,X1] :
( v1_xboole_0(X0)
| ~ m1_subset_1(X1,k5_finsub_1(X0))
| m1_subset_1(sK257(X0,X1),X0)
| np__0 = X1 ),
inference(definition_unfolding,[],[f11852,f13783]) ).
fof(f14496,plain,
k2_enumset1(np__0,np__0,np__0,np__0) = k5_finsub_1(np__0),
inference(definition_unfolding,[],[f11865,f14051,f13783,f13783]) ).
fof(f14497,plain,
! [X0,X1] :
( ~ v1_finset_1(k2_zfmisc_1(X0,X1))
| v1_finset_1(X1)
| np__0 = X0 ),
inference(definition_unfolding,[],[f11894,f13783]) ).
fof(f14498,plain,
! [X0,X1] :
( ~ v1_finset_1(k2_zfmisc_1(X1,X0))
| v1_finset_1(X1)
| np__0 = X0 ),
inference(definition_unfolding,[],[f11895,f13783]) ).
fof(f14499,plain,
! [X0,X1] :
( ~ v1_finset_1(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(X0)))
| r2_hidden(sK263(X1),X1)
| np__0 = X1 ),
inference(definition_unfolding,[],[f11898,f13783]) ).
fof(f14500,plain,
! [X3,X0,X1] :
( ~ v1_finset_1(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(X0)))
| ~ r1_tarski(sK263(X1),X3)
| ~ r2_hidden(X3,X1)
| sK263(X1) = X3
| np__0 = X1 ),
inference(definition_unfolding,[],[f11897,f13783]) ).
fof(f14503,plain,
! [X3,X0,X1] :
( ~ m1_subset_1(X1,X0)
| ~ r2_hidden(X3,k2_zfmisc_1(k4_xboole_0(X0,k2_enumset1(X1,X1,X1,X1)),k4_xboole_0(X0,k2_enumset1(X1,X1,X1,X1))))
| r2_hidden(k1_funct_1(sK267(X0,X1),X3),k4_xboole_0(X0,k2_enumset1(X1,X1,X1,X1))) ),
inference(definition_unfolding,[],[f11917,f14051,f14051,f14051]) ).
fof(f14504,plain,
! [X1] :
( ~ m1_subset_1(X1,sK268)
| ~ v1_xboole_0(k4_xboole_0(sK268,k2_enumset1(X1,X1,X1,X1))) ),
inference(definition_unfolding,[],[f11921,f14051]) ).
fof(f14506,plain,
! [X0,X1] :
( ~ r2_hidden(X0,X1)
| np__0 = k4_xboole_0(k2_enumset1(X0,X0,X0,X0),X1) ),
inference(definition_unfolding,[],[f11931,f13783,f14051]) ).
fof(f14510,plain,
! [X0,X1] :
( k2_enumset1(X1,X1,X1,X1) = X0
| np__0 = X0
| np__0 != k4_xboole_0(X0,k2_enumset1(X1,X1,X1,X1)) ),
inference(definition_unfolding,[],[f11934,f13783,f14051,f13783,f14051]) ).
fof(f14511,plain,
! [X0,X1] :
( r2_hidden(X1,X0)
| k4_xboole_0(X0,k2_enumset1(X1,X1,X1,X1)) = X0 ),
inference(definition_unfolding,[],[f11936,f14051]) ).
fof(f14512,plain,
! [X0,X1] :
( k4_xboole_0(X0,k2_enumset1(X1,X1,X1,X1)) != X0
| ~ r2_hidden(X1,X0) ),
inference(definition_unfolding,[],[f11935,f14051]) ).
fof(f14513,plain,
! [X2,X0,X1] :
( X0 = X2
| ~ r2_hidden(X0,X1)
| r2_hidden(X0,k4_xboole_0(X1,k2_enumset1(X2,X2,X2,X2))) ),
inference(definition_unfolding,[],[f11939,f14051]) ).
fof(f14515,plain,
! [X2,X0,X1] :
( ~ r2_hidden(X0,k4_xboole_0(X1,k2_enumset1(X2,X2,X2,X2)))
| X0 != X2 ),
inference(definition_unfolding,[],[f11937,f14051]) ).
fof(f14516,plain,
! [X2,X0,X1] :
( ~ r1_tarski(X0,X1)
| r1_tarski(X0,k4_xboole_0(X1,k2_enumset1(X2,X2,X2,X2)))
| r2_hidden(X2,X0) ),
inference(definition_unfolding,[],[f11940,f14051]) ).
fof(f14517,plain,
! [X0,X1] :
( np__0 != k4_xboole_0(k2_enumset1(X0,X0,X0,X0),k2_enumset1(X1,X1,X1,X1))
| X0 = X1 ),
inference(definition_unfolding,[],[f11941,f13783,f14051,f14051]) ).
fof(f14518,plain,
! [X0,X1] :
( X0 = X1
| k2_enumset1(X0,X0,X0,X0) = k4_xboole_0(k2_enumset1(X0,X0,X0,X0),k2_enumset1(X1,X1,X1,X1)) ),
inference(definition_unfolding,[],[f11943,f14051,f14051,f14051]) ).
fof(f14519,plain,
! [X0,X1] :
( k2_enumset1(X0,X0,X0,X0) != k4_xboole_0(k2_enumset1(X0,X0,X0,X0),k2_enumset1(X1,X1,X1,X1))
| X0 != X1 ),
inference(definition_unfolding,[],[f11942,f14051,f14051,f14051]) ).
fof(f14520,plain,
! [X0,X1] :
( ~ r1_tarski(X0,k4_xboole_0(X1,X0))
| np__0 = X0 ),
inference(definition_unfolding,[],[f11945,f13783]) ).
fof(f14521,plain,
! [X0,X1] :
( ~ r1_tarski(X0,X1)
| k4_xboole_0(X0,X1) = np__0 ),
inference(definition_unfolding,[],[f11947,f13783]) ).
fof(f14522,plain,
! [X0,X1] :
( k4_xboole_0(X0,X1) != np__0
| r1_tarski(X0,X1) ),
inference(definition_unfolding,[],[f11946,f13783]) ).
fof(f14523,plain,
! [X0] : np__0 = k4_xboole_0(np__0,X0),
inference(definition_unfolding,[],[f11953,f13783,f13783]) ).
fof(f14524,plain,
! [X0] : k4_xboole_0(X0,np__0) = X0,
inference(definition_unfolding,[],[f11954,f13783]) ).
fof(f14525,plain,
! [X2,X0,X1] :
( ~ l3_lattices(X0)
| v3_realset2(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| k1_funct_1(k8_lopclset(X0),k3_lattices(X0,X1,X2)) = k3_tarski(k2_tarski(k1_funct_1(k8_lopclset(X0),X1),k1_funct_1(k8_lopclset(X0),X2))) ),
inference(definition_unfolding,[],[f11971,f12734]) ).
fof(f14526,plain,
! [X2,X0,X1] :
( ~ l3_lattices(X0)
| v3_realset2(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| k1_funct_1(k8_lopclset(X0),k4_lattices(X0,X1,X2)) = k4_xboole_0(k1_funct_1(k8_lopclset(X0),X1),k4_xboole_0(k1_funct_1(k8_lopclset(X0),X1),k1_funct_1(k8_lopclset(X0),X2))) ),
inference(definition_unfolding,[],[f11972,f10579]) ).
fof(f14527,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ sP20(X5,X0,X1,X6,X4,X3)
| k8_funct_2(X1,X0,X5,sK283(X0,X1,X5,X6)) != k8_funct_2(k5_finsub_1(X1),X0,X6,k2_setwiseo(X1,sK283(X0,X1,X5,X6)))
| sK282(X0,X4,X6) != k1_funct_1(X6,np__0)
| k8_funct_2(k5_finsub_1(X1),X0,X6,X3) != X2
| ~ m2_relset_1(X6,k5_finsub_1(X1),X0)
| ~ v1_funct_2(X6,k5_finsub_1(X1),X0)
| ~ v1_funct_1(X6)
| sP21(X0,X1,X2,X3,X4,X5) ),
inference(definition_unfolding,[],[f12091,f13783]) ).
fof(f14528,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ sP20(X5,X0,X1,X6,X4,X3)
| m1_subset_1(sK283(X0,X1,X5,X6),X1)
| sK282(X0,X4,X6) != k1_funct_1(X6,np__0)
| k8_funct_2(k5_finsub_1(X1),X0,X6,X3) != X2
| ~ m2_relset_1(X6,k5_finsub_1(X1),X0)
| ~ v1_funct_2(X6,k5_finsub_1(X1),X0)
| ~ v1_funct_1(X6)
| sP21(X0,X1,X2,X3,X4,X5) ),
inference(definition_unfolding,[],[f12090,f13783]) ).
fof(f14529,plain,
! [X2,X3,X10,X0,X1,X4,X5] :
( ~ sP21(X0,X1,X2,X3,X4,X5)
| ~ m1_subset_1(X10,X0)
| ~ r3_binop_1(X0,X10,X4)
| k1_funct_1(sK284(X0,X1,X2,X3,X4,X5),np__0) = X10 ),
inference(definition_unfolding,[],[f12081,f13783]) ).
fof(f14532,plain,
! [X2,X3,X0,X1,X4,X5] :
( v1_xboole_0(X0)
| v1_xboole_0(X1)
| ~ m2_relset_1(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X2)
| ~ m1_subset_1(X3,k5_finsub_1(X0))
| ~ m2_relset_1(X4,X0,X1)
| ~ v1_funct_2(X4,X0,X1)
| ~ v1_funct_1(X4)
| ~ v2_binop_1(X2,X1)
| ~ v1_binop_1(X2,X1)
| ~ v3_binop_1(X2,X1)
| ~ m1_subset_1(X5,X1)
| sP22(X4,X2,X3,X5,X0,X1)
| np__0 = X3 ),
inference(definition_unfolding,[],[f12100,f13783]) ).
fof(f14533,plain,
! [X2,X3,X0,X1,X4] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| v1_xboole_0(X1)
| ~ m1_subset_1(X2,k5_finsub_1(X1))
| ~ m2_relset_1(X3,X1,u1_struct_0(X0))
| ~ v1_funct_2(X3,X1,u1_struct_0(X0))
| ~ v1_funct_1(X3)
| ~ m2_relset_1(X4,X1,u1_struct_0(X0))
| ~ v1_funct_2(X4,X1,u1_struct_0(X0))
| ~ v1_funct_1(X4)
| k2_partfun1(X1,u1_struct_0(X0),X3,X2) != k2_partfun1(X1,u1_struct_0(X0),X4,X2)
| k2_lattice2(X1,X0,X2,X3) = k2_lattice2(X1,X0,X2,X4)
| np__0 = X2 ),
inference(definition_unfolding,[],[f12177,f13783]) ).
fof(f14534,plain,
! [X2,X3,X0,X1,X4] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| v1_xboole_0(X1)
| ~ m1_subset_1(X2,k5_finsub_1(X1))
| ~ m2_relset_1(X3,X1,u1_struct_0(X0))
| ~ v1_funct_2(X3,X1,u1_struct_0(X0))
| ~ v1_funct_1(X3)
| ~ m2_relset_1(X4,X1,u1_struct_0(X0))
| ~ v1_funct_2(X4,X1,u1_struct_0(X0))
| ~ v1_funct_1(X4)
| ~ r3_lattices(X0,k8_funct_2(X1,u1_struct_0(X0),X3,sK310(X0,X1,X2,X3,X4)),k8_funct_2(X1,u1_struct_0(X0),X4,sK310(X0,X1,X2,X3,X4)))
| r3_lattices(X0,k2_lattice2(X1,X0,X2,X3),k2_lattice2(X1,X0,X2,X4))
| np__0 = X2 ),
inference(definition_unfolding,[],[f12180,f13783]) ).
fof(f14535,plain,
! [X2,X3,X0,X1,X4] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| v1_xboole_0(X1)
| ~ m1_subset_1(X2,k5_finsub_1(X1))
| ~ m2_relset_1(X3,X1,u1_struct_0(X0))
| ~ v1_funct_2(X3,X1,u1_struct_0(X0))
| ~ v1_funct_1(X3)
| ~ m2_relset_1(X4,X1,u1_struct_0(X0))
| ~ v1_funct_2(X4,X1,u1_struct_0(X0))
| ~ v1_funct_1(X4)
| r2_hidden(sK310(X0,X1,X2,X3,X4),X2)
| r3_lattices(X0,k2_lattice2(X1,X0,X2,X3),k2_lattice2(X1,X0,X2,X4))
| np__0 = X2 ),
inference(definition_unfolding,[],[f12179,f13783]) ).
fof(f14536,plain,
! [X2,X3,X0,X1,X4] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| v1_xboole_0(X1)
| ~ m1_subset_1(X2,k5_finsub_1(X1))
| ~ m2_relset_1(X3,X1,u1_struct_0(X0))
| ~ v1_funct_2(X3,X1,u1_struct_0(X0))
| ~ v1_funct_1(X3)
| ~ m2_relset_1(X4,X1,u1_struct_0(X0))
| ~ v1_funct_2(X4,X1,u1_struct_0(X0))
| ~ v1_funct_1(X4)
| m1_subset_1(sK310(X0,X1,X2,X3,X4),X1)
| r3_lattices(X0,k2_lattice2(X1,X0,X2,X3),k2_lattice2(X1,X0,X2,X4))
| np__0 = X2 ),
inference(definition_unfolding,[],[f12178,f13783]) ).
fof(f14537,plain,
! [X2,X3,X0,X1,X4] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| v1_xboole_0(X2)
| ~ m1_subset_1(X3,k5_finsub_1(X2))
| ~ m2_relset_1(X4,X2,u1_struct_0(X0))
| ~ v1_funct_2(X4,X2,u1_struct_0(X0))
| ~ v1_funct_1(X4)
| ~ r3_lattices(X0,k8_funct_2(X2,u1_struct_0(X0),X4,sK311(X0,X1,X2,X3,X4)),X1)
| r3_lattices(X0,k2_lattice2(X2,X0,X3,X4),X1)
| np__0 = X3 ),
inference(definition_unfolding,[],[f12183,f13783]) ).
fof(f14538,plain,
! [X2,X3,X0,X1,X4] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| v1_xboole_0(X2)
| ~ m1_subset_1(X3,k5_finsub_1(X2))
| ~ m2_relset_1(X4,X2,u1_struct_0(X0))
| ~ v1_funct_2(X4,X2,u1_struct_0(X0))
| ~ v1_funct_1(X4)
| r2_hidden(sK311(X0,X1,X2,X3,X4),X3)
| r3_lattices(X0,k2_lattice2(X2,X0,X3,X4),X1)
| np__0 = X3 ),
inference(definition_unfolding,[],[f12182,f13783]) ).
fof(f14539,plain,
! [X2,X3,X0,X1,X4] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| v1_xboole_0(X2)
| ~ m1_subset_1(X3,k5_finsub_1(X2))
| ~ m2_relset_1(X4,X2,u1_struct_0(X0))
| ~ v1_funct_2(X4,X2,u1_struct_0(X0))
| ~ v1_funct_1(X4)
| m1_subset_1(sK311(X0,X1,X2,X3,X4),X2)
| r3_lattices(X0,k2_lattice2(X2,X0,X3,X4),X1)
| np__0 = X3 ),
inference(definition_unfolding,[],[f12181,f13783]) ).
fof(f14540,plain,
! [X2,X3,X0,X1,X4] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| v1_xboole_0(X2)
| ~ m1_subset_1(X3,k5_finsub_1(X2))
| ~ m2_relset_1(X4,X2,u1_struct_0(X0))
| ~ v1_funct_2(X4,X2,u1_struct_0(X0))
| ~ v1_funct_1(X4)
| k8_funct_2(X2,u1_struct_0(X0),X4,sK312(X0,X1,X2,X3,X4)) != X1
| k2_lattice2(X2,X0,X3,X4) = X1
| np__0 = X3 ),
inference(definition_unfolding,[],[f12187,f13783]) ).
fof(f14541,plain,
! [X2,X3,X0,X1,X4] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| v1_xboole_0(X2)
| ~ m1_subset_1(X3,k5_finsub_1(X2))
| ~ m2_relset_1(X4,X2,u1_struct_0(X0))
| ~ v1_funct_2(X4,X2,u1_struct_0(X0))
| ~ v1_funct_1(X4)
| r2_hidden(sK312(X0,X1,X2,X3,X4),X3)
| k2_lattice2(X2,X0,X3,X4) = X1
| np__0 = X3 ),
inference(definition_unfolding,[],[f12186,f13783]) ).
fof(f14542,plain,
! [X2,X3,X0,X1,X4] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| v1_xboole_0(X2)
| ~ m1_subset_1(X3,k5_finsub_1(X2))
| ~ m2_relset_1(X4,X2,u1_struct_0(X0))
| ~ v1_funct_2(X4,X2,u1_struct_0(X0))
| ~ v1_funct_1(X4)
| m1_subset_1(sK312(X0,X1,X2,X3,X4),X2)
| k2_lattice2(X2,X0,X3,X4) = X1
| np__0 = X3 ),
inference(definition_unfolding,[],[f12185,f13783]) ).
fof(f14543,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,X0)
| v1_realset1(X0)
| k5_realset1(X0,X1) = k2_enumset1(X1,X1,X1,X1) ),
inference(definition_unfolding,[],[f12193,f14051]) ).
fof(f14544,plain,
! [X0] :
( v1_xboole_0(X0)
| v1_xboole_0(k4_xboole_0(X0,k2_enumset1(sK317(X0),sK317(X0),sK317(X0),sK317(X0))))
| ~ v1_realset1(X0) ),
inference(definition_unfolding,[],[f12205,f14051]) ).
fof(f14545,plain,
! [X0] :
( v1_xboole_0(X0)
| ~ v1_realset1(X0)
| v1_xboole_0(k4_xboole_0(X0,k2_enumset1(sK318(X0),sK318(X0),sK318(X0),sK318(X0)))) ),
inference(definition_unfolding,[],[f12207,f14051]) ).
fof(f14546,plain,
! [X0] :
( v1_xboole_0(X0)
| v1_xboole_0(k4_xboole_0(X0,k2_enumset1(sK319(X0),sK319(X0),sK319(X0),sK319(X0))))
| ~ v1_realset1(X0) ),
inference(definition_unfolding,[],[f12209,f14051]) ).
fof(f14547,plain,
! [X2,X0] :
( v1_xboole_0(X0)
| v1_realset1(X0)
| ~ v1_xboole_0(k4_xboole_0(X0,k2_enumset1(X2,X2,X2,X2))) ),
inference(definition_unfolding,[],[f12208,f14051]) ).
fof(f14548,plain,
! [X0,X1] :
( k2_enumset1(X1,X1,X1,X1) != X0
| v1_realset1(X0) ),
inference(definition_unfolding,[],[f12211,f14051]) ).
fof(f14549,plain,
! [X0] :
( ~ v1_realset1(X0)
| k2_enumset1(sK320(X0),sK320(X0),sK320(X0),sK320(X0)) = X0
| v1_xboole_0(X0) ),
inference(definition_unfolding,[],[f12210,f14051]) ).
fof(f14553,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X1,X0)
| ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ r2_hidden(k1_funct_1(X2,sK324(X0,X1,X2)),k4_xboole_0(X0,k2_enumset1(X1,X1,X1,X1)))
| m3_realset1(X2,X0,X1) ),
inference(definition_unfolding,[],[f12227,f14051]) ).
fof(f14554,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X1,X0)
| ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| r2_hidden(sK324(X0,X1,X2),k2_zfmisc_1(k4_xboole_0(X0,k2_enumset1(X1,X1,X1,X1)),k4_xboole_0(X0,k2_enumset1(X1,X1,X1,X1))))
| m3_realset1(X2,X0,X1) ),
inference(definition_unfolding,[],[f12226,f14051,f14051]) ).
fof(f14555,plain,
! [X2,X0,X1,X4] :
( ~ m1_subset_1(X1,X0)
| ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ m3_realset1(X2,X0,X1)
| ~ r2_hidden(X4,k2_zfmisc_1(k4_xboole_0(X0,k2_enumset1(X1,X1,X1,X1)),k4_xboole_0(X0,k2_enumset1(X1,X1,X1,X1))))
| r2_hidden(k1_funct_1(X2,X4),k4_xboole_0(X0,k2_enumset1(X1,X1,X1,X1))) ),
inference(definition_unfolding,[],[f12225,f14051,f14051,f14051]) ).
fof(f14556,plain,
! [X2,X0,X1] :
( ~ v1_relat_1(X2)
| k10_relat_1(k7_relat_1(X2,X0),X1) = k4_xboole_0(X0,k4_xboole_0(X0,k10_relat_1(X2,X1))) ),
inference(definition_unfolding,[],[f12233,f10579]) ).
fof(f14557,plain,
! [X2,X0,X1] :
( ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| ~ r2_hidden(X1,k4_xboole_0(k1_relat_1(X2),k4_xboole_0(k1_relat_1(X2),X0)))
| k1_funct_1(X2,X1) = k1_funct_1(k7_relat_1(X2,X0),X1) ),
inference(definition_unfolding,[],[f12241,f10579]) ).
fof(f14558,plain,
! [X2,X0,X1] :
( ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| k1_funct_1(X1,sK325(X1,X2)) != k1_funct_1(X2,sK325(X1,X2))
| k1_relat_1(X1) != k4_xboole_0(k1_relat_1(X2),k4_xboole_0(k1_relat_1(X2),X0))
| k7_relat_1(X2,X0) = X1 ),
inference(definition_unfolding,[],[f12246,f10579]) ).
fof(f14559,plain,
! [X2,X0,X1] :
( ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| r2_hidden(sK325(X1,X2),k1_relat_1(X1))
| k1_relat_1(X1) != k4_xboole_0(k1_relat_1(X2),k4_xboole_0(k1_relat_1(X2),X0))
| k7_relat_1(X2,X0) = X1 ),
inference(definition_unfolding,[],[f12245,f10579]) ).
fof(f14561,plain,
! [X0,X1] :
( ~ v1_relat_1(X0)
| ~ r1_xboole_0(X1,k1_relat_1(X0))
| k7_relat_1(X0,X1) = np__0 ),
inference(definition_unfolding,[],[f12252,f13783]) ).
fof(f14562,plain,
! [X2,X3,X0,X1] :
( ~ v1_relat_1(X0)
| ~ v1_relat_1(X1)
| k7_relat_1(X0,X3) != k7_relat_1(X1,X3)
| k7_relat_1(X0,X2) != k7_relat_1(X1,X2)
| k7_relat_1(X0,k3_tarski(k2_tarski(X2,X3))) = k7_relat_1(X1,k3_tarski(k2_tarski(X2,X3))) ),
inference(definition_unfolding,[],[f12254,f12734,f12734]) ).
fof(f14563,plain,
! [X0] : np__0 = k7_relat_1(np__0,X0),
inference(definition_unfolding,[],[f12258,f13783,f13783]) ).
fof(f14564,plain,
! [X0] :
( ~ v1_relat_1(X0)
| np__0 = k7_relat_1(X0,np__0) ),
inference(definition_unfolding,[],[f12259,f13783,f13783]) ).
fof(f14565,plain,
! [X2,X0,X1] :
( ~ v1_relat_1(X2)
| k7_relat_1(X2,k4_xboole_0(X0,k4_xboole_0(X0,X1))) = k4_xboole_0(k7_relat_1(X2,X0),k4_xboole_0(k7_relat_1(X2,X0),k7_relat_1(X2,X1))) ),
inference(definition_unfolding,[],[f12261,f10579,f10579]) ).
fof(f14566,plain,
! [X2,X0,X1] :
( ~ v1_relat_1(X2)
| k7_relat_1(X2,k3_tarski(k2_tarski(X0,X1))) = k3_tarski(k2_tarski(k7_relat_1(X2,X0),k7_relat_1(X2,X1))) ),
inference(definition_unfolding,[],[f12262,f12734,f12734]) ).
fof(f14567,plain,
! [X2,X0,X1] :
( ~ v1_relat_1(X2)
| k7_relat_1(k7_relat_1(X2,X0),X1) = k7_relat_1(X2,k4_xboole_0(X0,k4_xboole_0(X0,X1))) ),
inference(definition_unfolding,[],[f12269,f10579]) ).
fof(f14568,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| k7_relat_1(X1,X0) = k4_xboole_0(X1,k4_xboole_0(X1,k2_zfmisc_1(X0,k2_relat_1(X1)))) ),
inference(definition_unfolding,[],[f12273,f10579]) ).
fof(f14569,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| ~ r1_xboole_0(k1_relat_1(X1),X0)
| k7_relat_1(X1,X0) = np__0 ),
inference(definition_unfolding,[],[f12275,f13783]) ).
fof(f14570,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| k7_relat_1(X1,X0) != np__0
| r1_xboole_0(k1_relat_1(X1),X0) ),
inference(definition_unfolding,[],[f12274,f13783]) ).
fof(f14571,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| k1_relat_1(k7_relat_1(X1,X0)) = k4_xboole_0(k1_relat_1(X1),k4_xboole_0(k1_relat_1(X1),X0)) ),
inference(definition_unfolding,[],[f12279,f10579]) ).
fof(f14572,plain,
! [X2,X0,X1] :
( ~ v1_relat_1(X0)
| ~ v1_relat_1(X2)
| ~ r2_hidden(k2_tarski(k2_tarski(sK326(X0,X1,X2),sK327(X0,X1,X2)),k2_enumset1(sK326(X0,X1,X2),sK326(X0,X1,X2),sK326(X0,X1,X2),sK326(X0,X1,X2))),X2)
| ~ r2_hidden(k2_tarski(k2_tarski(sK326(X0,X1,X2),sK327(X0,X1,X2)),k2_enumset1(sK326(X0,X1,X2),sK326(X0,X1,X2),sK326(X0,X1,X2),sK326(X0,X1,X2))),X0)
| ~ r2_hidden(sK326(X0,X1,X2),X1)
| k7_relat_1(X0,X1) = X2 ),
inference(definition_unfolding,[],[f12291,f14052,f14052]) ).
fof(f14573,plain,
! [X2,X0,X1] :
( ~ v1_relat_1(X0)
| ~ v1_relat_1(X2)
| r2_hidden(k2_tarski(k2_tarski(sK326(X0,X1,X2),sK327(X0,X1,X2)),k2_enumset1(sK326(X0,X1,X2),sK326(X0,X1,X2),sK326(X0,X1,X2),sK326(X0,X1,X2))),X2)
| r2_hidden(sK326(X0,X1,X2),X1)
| k7_relat_1(X0,X1) = X2 ),
inference(definition_unfolding,[],[f12290,f14052]) ).
fof(f14574,plain,
! [X2,X0,X1] :
( ~ v1_relat_1(X0)
| ~ v1_relat_1(X2)
| r2_hidden(k2_tarski(k2_tarski(sK326(X0,X1,X2),sK327(X0,X1,X2)),k2_enumset1(sK326(X0,X1,X2),sK326(X0,X1,X2),sK326(X0,X1,X2),sK326(X0,X1,X2))),X2)
| r2_hidden(k2_tarski(k2_tarski(sK326(X0,X1,X2),sK327(X0,X1,X2)),k2_enumset1(sK326(X0,X1,X2),sK326(X0,X1,X2),sK326(X0,X1,X2),sK326(X0,X1,X2))),X0)
| k7_relat_1(X0,X1) = X2 ),
inference(definition_unfolding,[],[f12289,f14052,f14052]) ).
fof(f14575,plain,
! [X2,X0,X1,X6,X5] :
( ~ v1_relat_1(X0)
| ~ v1_relat_1(X2)
| k7_relat_1(X0,X1) != X2
| ~ r2_hidden(k2_tarski(k2_tarski(X5,X6),k2_enumset1(X5,X5,X5,X5)),X0)
| ~ r2_hidden(X5,X1)
| r2_hidden(k2_tarski(k2_tarski(X5,X6),k2_enumset1(X5,X5,X5,X5)),X2) ),
inference(definition_unfolding,[],[f12288,f14052,f14052]) ).
fof(f14576,plain,
! [X2,X0,X1,X6,X5] :
( ~ v1_relat_1(X0)
| ~ v1_relat_1(X2)
| k7_relat_1(X0,X1) != X2
| ~ r2_hidden(k2_tarski(k2_tarski(X5,X6),k2_enumset1(X5,X5,X5,X5)),X2)
| r2_hidden(X5,X1) ),
inference(definition_unfolding,[],[f12287,f14052]) ).
fof(f14577,plain,
! [X2,X0,X1,X6,X5] :
( ~ v1_relat_1(X0)
| ~ v1_relat_1(X2)
| k7_relat_1(X0,X1) != X2
| ~ r2_hidden(k2_tarski(k2_tarski(X5,X6),k2_enumset1(X5,X5,X5,X5)),X2)
| r2_hidden(k2_tarski(k2_tarski(X5,X6),k2_enumset1(X5,X5,X5,X5)),X0) ),
inference(definition_unfolding,[],[f12286,f14052,f14052]) ).
fof(f14579,plain,
! [X0] :
( ~ m1_relset_1(X0,k2_zfmisc_1(np__0,np__0),np__0)
| ~ v1_funct_2(X0,k2_zfmisc_1(np__0,np__0),np__0)
| ~ v1_funct_1(X0)
| v1_xboole_0(X0) ),
inference(definition_unfolding,[],[f12295,f13783,f13783,f13783,f13783,f13783,f13783]) ).
fof(f14581,plain,
! [X0] :
( ~ m1_relset_1(X0,k2_zfmisc_1(np__0,np__0),np__0)
| ~ v1_funct_2(X0,k2_zfmisc_1(np__0,np__0),np__0)
| ~ v1_funct_1(X0)
| v1_binop_1(X0,np__0) ),
inference(definition_unfolding,[],[f12293,f13783,f13783,f13783,f13783,f13783,f13783,f13783]) ).
fof(f14582,plain,
! [X0] :
( ~ m1_relset_1(X0,k2_zfmisc_1(np__0,np__0),np__0)
| ~ v1_funct_2(X0,k2_zfmisc_1(np__0,np__0),np__0)
| ~ v1_funct_1(X0)
| v2_binop_1(X0,np__0) ),
inference(definition_unfolding,[],[f12292,f13783,f13783,f13783,f13783,f13783,f13783,f13783]) ).
fof(f14583,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( v1_xboole_0(X0)
| v1_xboole_0(X1)
| ~ m2_relset_1(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X2)
| ~ v3_binop_1(X2,X1)
| ~ v2_binop_1(X2,X1)
| ~ v1_binop_1(X2,X1)
| v1_xboole_0(X3)
| ~ m2_relset_1(X4,k2_zfmisc_1(X3,X3),X3)
| ~ v1_funct_2(X4,k2_zfmisc_1(X3,X3),X3)
| ~ v1_funct_1(X4)
| ~ v3_binop_1(X4,X3)
| ~ v2_binop_1(X4,X3)
| ~ v1_binop_1(X4,X3)
| ~ m2_relset_1(X5,X0,X1)
| ~ v1_funct_2(X5,X0,X1)
| ~ v1_funct_1(X5)
| ~ m2_relset_1(X6,X1,X3)
| ~ v1_funct_2(X6,X1,X3)
| ~ v1_funct_1(X6)
| k8_funct_2(X1,X3,X6,k2_binop_1(X1,X1,X1,X2,sK328(X1,X2,X3,X4,X6),sK329(X1,X2,X3,X4,X6))) != k2_binop_1(X3,X3,X3,X4,k8_funct_2(X1,X3,X6,sK328(X1,X2,X3,X4,X6)),k8_funct_2(X1,X3,X6,sK329(X1,X2,X3,X4,X6)))
| ~ m1_subset_1(X7,k5_finsub_1(X0))
| np__0 = X7
| k8_funct_2(X1,X3,X6,k7_setwiseo(X0,X1,X2,X7,X5)) = k7_setwiseo(X0,X3,X4,X7,k7_funct_2(X0,X1,X3,X5,X6)) ),
inference(definition_unfolding,[],[f12299,f13783]) ).
fof(f14584,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( v1_xboole_0(X0)
| v1_xboole_0(X1)
| ~ m2_relset_1(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X2)
| ~ v3_binop_1(X2,X1)
| ~ v2_binop_1(X2,X1)
| ~ v1_binop_1(X2,X1)
| v1_xboole_0(X3)
| ~ m2_relset_1(X4,k2_zfmisc_1(X3,X3),X3)
| ~ v1_funct_2(X4,k2_zfmisc_1(X3,X3),X3)
| ~ v1_funct_1(X4)
| ~ v3_binop_1(X4,X3)
| ~ v2_binop_1(X4,X3)
| ~ v1_binop_1(X4,X3)
| ~ m2_relset_1(X5,X0,X1)
| ~ v1_funct_2(X5,X0,X1)
| ~ v1_funct_1(X5)
| ~ m2_relset_1(X6,X1,X3)
| ~ v1_funct_2(X6,X1,X3)
| ~ v1_funct_1(X6)
| m1_subset_1(sK329(X1,X2,X3,X4,X6),X1)
| ~ m1_subset_1(X7,k5_finsub_1(X0))
| np__0 = X7
| k8_funct_2(X1,X3,X6,k7_setwiseo(X0,X1,X2,X7,X5)) = k7_setwiseo(X0,X3,X4,X7,k7_funct_2(X0,X1,X3,X5,X6)) ),
inference(definition_unfolding,[],[f12298,f13783]) ).
fof(f14585,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( v1_xboole_0(X0)
| v1_xboole_0(X1)
| ~ m2_relset_1(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X2)
| ~ v3_binop_1(X2,X1)
| ~ v2_binop_1(X2,X1)
| ~ v1_binop_1(X2,X1)
| v1_xboole_0(X3)
| ~ m2_relset_1(X4,k2_zfmisc_1(X3,X3),X3)
| ~ v1_funct_2(X4,k2_zfmisc_1(X3,X3),X3)
| ~ v1_funct_1(X4)
| ~ v3_binop_1(X4,X3)
| ~ v2_binop_1(X4,X3)
| ~ v1_binop_1(X4,X3)
| ~ m2_relset_1(X5,X0,X1)
| ~ v1_funct_2(X5,X0,X1)
| ~ v1_funct_1(X5)
| ~ m2_relset_1(X6,X1,X3)
| ~ v1_funct_2(X6,X1,X3)
| ~ v1_funct_1(X6)
| m1_subset_1(sK328(X1,X2,X3,X4,X6),X1)
| ~ m1_subset_1(X7,k5_finsub_1(X0))
| np__0 = X7
| k8_funct_2(X1,X3,X6,k7_setwiseo(X0,X1,X2,X7,X5)) = k7_setwiseo(X0,X3,X4,X7,k7_funct_2(X0,X1,X3,X5,X6)) ),
inference(definition_unfolding,[],[f12297,f13783]) ).
fof(f14586,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( v1_xboole_0(X0)
| v1_xboole_0(X1)
| ~ m2_relset_1(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X2)
| ~ v3_binop_1(X2,X1)
| ~ v2_binop_1(X2,X1)
| ~ v1_binop_1(X2,X1)
| ~ m2_relset_1(X3,X0,X1)
| ~ v1_funct_2(X3,X0,X1)
| ~ v1_funct_1(X3)
| ~ m2_relset_1(X4,X0,X1)
| ~ v1_funct_2(X4,X0,X1)
| ~ v1_funct_1(X4)
| ~ m1_subset_1(X5,k5_finsub_1(X0))
| ~ m1_subset_1(X6,k5_finsub_1(X0))
| k2_funct_2(X0,X1,X3,X5) != k2_funct_2(X0,X1,X4,X6)
| k7_setwiseo(X0,X1,X2,X5,X3) = k7_setwiseo(X0,X1,X2,X6,X4)
| np__0 = X5 ),
inference(definition_unfolding,[],[f12300,f13783]) ).
fof(f14587,plain,
! [X2,X3,X0,X1,X4,X5] :
( v1_xboole_0(X0)
| v1_xboole_0(X1)
| ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ m1_subset_1(X3,k5_finsub_1(X1))
| ~ m2_relset_1(X4,X1,X0)
| ~ v1_funct_2(X4,X1,X0)
| ~ v1_funct_1(X4)
| ~ v3_binop_1(X2,X0)
| ~ v2_binop_1(X2,X0)
| ~ v1_binop_1(X2,X0)
| ~ m1_subset_1(X5,X0)
| k8_funct_2(X1,X0,X4,sK330(X0,X1,X3,X4,X5)) != X5
| k7_setwiseo(X1,X0,X2,X3,X4) = X5
| np__0 = X3 ),
inference(definition_unfolding,[],[f12304,f13783]) ).
fof(f14588,plain,
! [X2,X3,X0,X1,X4,X5] :
( v1_xboole_0(X0)
| v1_xboole_0(X1)
| ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ m1_subset_1(X3,k5_finsub_1(X1))
| ~ m2_relset_1(X4,X1,X0)
| ~ v1_funct_2(X4,X1,X0)
| ~ v1_funct_1(X4)
| ~ v3_binop_1(X2,X0)
| ~ v2_binop_1(X2,X0)
| ~ v1_binop_1(X2,X0)
| ~ m1_subset_1(X5,X0)
| r2_hidden(sK330(X0,X1,X3,X4,X5),X3)
| k7_setwiseo(X1,X0,X2,X3,X4) = X5
| np__0 = X3 ),
inference(definition_unfolding,[],[f12303,f13783]) ).
fof(f14589,plain,
! [X2,X3,X0,X1,X4,X5] :
( v1_xboole_0(X0)
| v1_xboole_0(X1)
| ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ m1_subset_1(X3,k5_finsub_1(X1))
| ~ m2_relset_1(X4,X1,X0)
| ~ v1_funct_2(X4,X1,X0)
| ~ v1_funct_1(X4)
| ~ v3_binop_1(X2,X0)
| ~ v2_binop_1(X2,X0)
| ~ v1_binop_1(X2,X0)
| ~ m1_subset_1(X5,X0)
| m1_subset_1(sK330(X0,X1,X3,X4,X5),X1)
| k7_setwiseo(X1,X0,X2,X3,X4) = X5
| np__0 = X3 ),
inference(definition_unfolding,[],[f12302,f13783]) ).
fof(f14590,plain,
! [X2,X3,X0,X1,X4,X5] :
( v1_xboole_0(X0)
| v1_xboole_0(X1)
| ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ m2_relset_1(X3,X1,X0)
| ~ v1_funct_2(X3,X1,X0)
| ~ v1_funct_1(X3)
| ~ v3_binop_1(X2,X0)
| ~ v2_binop_1(X2,X0)
| ~ v1_binop_1(X2,X0)
| ~ m1_subset_1(X4,k5_finsub_1(X1))
| ~ m1_subset_1(X5,k5_finsub_1(X1))
| ~ r1_tarski(X4,X5)
| k7_setwiseo(X1,X0,X2,X5,X3) = k2_binop_1(X0,X0,X0,X2,k7_setwiseo(X1,X0,X2,X4,X3),k7_setwiseo(X1,X0,X2,X5,X3))
| np__0 = X4 ),
inference(definition_unfolding,[],[f12305,f13783]) ).
fof(f14591,plain,
! [X2,X3,X0,X1,X4,X5] :
( v1_xboole_0(X0)
| v1_xboole_0(X1)
| ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ m2_relset_1(X3,X1,X0)
| ~ v1_funct_2(X3,X1,X0)
| ~ v1_funct_1(X3)
| ~ v2_binop_1(X2,X0)
| ~ v1_binop_1(X2,X0)
| ~ v3_binop_1(X2,X0)
| ~ m1_subset_1(X4,k5_finsub_1(X1))
| ~ m1_subset_1(X5,k5_finsub_1(X1))
| k7_setwiseo(X1,X0,X2,k5_setwiseo(X1,X4,X5),X3) = k2_binop_1(X0,X0,X0,X2,k7_setwiseo(X1,X0,X2,X4,X3),k7_setwiseo(X1,X0,X2,X5,X3))
| np__0 = X5
| np__0 = X4 ),
inference(definition_unfolding,[],[f12307,f13783,f13783]) ).
fof(f14592,plain,
! [X2,X3,X0,X1,X4,X5] :
( v1_xboole_0(X0)
| v1_xboole_0(X1)
| ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ m1_subset_1(X3,k5_finsub_1(X1))
| ~ m2_relset_1(X4,X1,X0)
| ~ v1_funct_2(X4,X1,X0)
| ~ v1_funct_1(X4)
| ~ v2_binop_1(X2,X0)
| ~ v1_binop_1(X2,X0)
| ~ v3_binop_1(X2,X0)
| ~ m1_subset_1(X5,X1)
| k7_setwiseo(X1,X0,X2,k5_setwiseo(X1,X3,k2_setwiseo(X1,X5)),X4) = k2_binop_1(X0,X0,X0,X2,k7_setwiseo(X1,X0,X2,X3,X4),k8_funct_2(X1,X0,X4,X5))
| np__0 = X3 ),
inference(definition_unfolding,[],[f12308,f13783]) ).
fof(f14593,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v14_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| k6_lattices(X0) = k2_lattice4(X0,np__0) ),
inference(definition_unfolding,[],[f12345,f14053]) ).
fof(f14594,plain,
! [X2,X3,X0,X1,X4] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| v1_xboole_0(X1)
| ~ m1_subset_1(X2,k5_finsub_1(X1))
| ~ m2_relset_1(X3,X1,u1_struct_0(X0))
| ~ v1_funct_2(X3,X1,u1_struct_0(X0))
| ~ v1_funct_1(X3)
| ~ m2_relset_1(X4,X1,u1_struct_0(X0))
| ~ v1_funct_2(X4,X1,u1_struct_0(X0))
| ~ v1_funct_1(X4)
| ~ r3_lattices(X0,k8_funct_2(X1,u1_struct_0(X0),X3,sK338(X0,X1,X2,X3,X4)),k8_funct_2(X1,u1_struct_0(X0),X4,sK338(X0,X1,X2,X3,X4)))
| r3_lattices(X0,k3_lattice2(X1,X0,X2,X3),k3_lattice2(X1,X0,X2,X4))
| np__0 = X2 ),
inference(definition_unfolding,[],[f12360,f13783]) ).
fof(f14595,plain,
! [X2,X3,X0,X1,X4] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| v1_xboole_0(X1)
| ~ m1_subset_1(X2,k5_finsub_1(X1))
| ~ m2_relset_1(X3,X1,u1_struct_0(X0))
| ~ v1_funct_2(X3,X1,u1_struct_0(X0))
| ~ v1_funct_1(X3)
| ~ m2_relset_1(X4,X1,u1_struct_0(X0))
| ~ v1_funct_2(X4,X1,u1_struct_0(X0))
| ~ v1_funct_1(X4)
| r2_hidden(sK338(X0,X1,X2,X3,X4),X2)
| r3_lattices(X0,k3_lattice2(X1,X0,X2,X3),k3_lattice2(X1,X0,X2,X4))
| np__0 = X2 ),
inference(definition_unfolding,[],[f12359,f13783]) ).
fof(f14596,plain,
! [X2,X3,X0,X1,X4] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| v1_xboole_0(X1)
| ~ m1_subset_1(X2,k5_finsub_1(X1))
| ~ m2_relset_1(X3,X1,u1_struct_0(X0))
| ~ v1_funct_2(X3,X1,u1_struct_0(X0))
| ~ v1_funct_1(X3)
| ~ m2_relset_1(X4,X1,u1_struct_0(X0))
| ~ v1_funct_2(X4,X1,u1_struct_0(X0))
| ~ v1_funct_1(X4)
| m1_subset_1(sK338(X0,X1,X2,X3,X4),X1)
| r3_lattices(X0,k3_lattice2(X1,X0,X2,X3),k3_lattice2(X1,X0,X2,X4))
| np__0 = X2 ),
inference(definition_unfolding,[],[f12358,f13783]) ).
fof(f14597,plain,
! [X2,X3,X0,X1,X4] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| v1_xboole_0(X2)
| ~ m1_subset_1(X3,k5_finsub_1(X2))
| ~ m2_relset_1(X4,X2,u1_struct_0(X0))
| ~ v1_funct_2(X4,X2,u1_struct_0(X0))
| ~ v1_funct_1(X4)
| ~ r3_lattices(X0,X1,k8_funct_2(X2,u1_struct_0(X0),X4,sK339(X0,X1,X2,X3,X4)))
| r3_lattices(X0,X1,k3_lattice2(X2,X0,X3,X4))
| np__0 = X3 ),
inference(definition_unfolding,[],[f12363,f13783]) ).
fof(f14598,plain,
! [X2,X3,X0,X1,X4] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| v1_xboole_0(X2)
| ~ m1_subset_1(X3,k5_finsub_1(X2))
| ~ m2_relset_1(X4,X2,u1_struct_0(X0))
| ~ v1_funct_2(X4,X2,u1_struct_0(X0))
| ~ v1_funct_1(X4)
| r2_hidden(sK339(X0,X1,X2,X3,X4),X3)
| r3_lattices(X0,X1,k3_lattice2(X2,X0,X3,X4))
| np__0 = X3 ),
inference(definition_unfolding,[],[f12362,f13783]) ).
fof(f14599,plain,
! [X2,X3,X0,X1,X4] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| v1_xboole_0(X2)
| ~ m1_subset_1(X3,k5_finsub_1(X2))
| ~ m2_relset_1(X4,X2,u1_struct_0(X0))
| ~ v1_funct_2(X4,X2,u1_struct_0(X0))
| ~ v1_funct_1(X4)
| m1_subset_1(sK339(X0,X1,X2,X3,X4),X2)
| r3_lattices(X0,X1,k3_lattice2(X2,X0,X3,X4))
| np__0 = X3 ),
inference(definition_unfolding,[],[f12361,f13783]) ).
fof(f14600,plain,
! [X2,X3,X0,X1,X4] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| v1_xboole_0(X1)
| ~ m1_subset_1(X2,k5_finsub_1(X1))
| ~ m2_relset_1(X3,X1,u1_struct_0(X0))
| ~ v1_funct_2(X3,X1,u1_struct_0(X0))
| ~ v1_funct_1(X3)
| ~ m2_relset_1(X4,X1,u1_struct_0(X0))
| ~ v1_funct_2(X4,X1,u1_struct_0(X0))
| ~ v1_funct_1(X4)
| k2_partfun1(X1,u1_struct_0(X0),X3,X2) != k2_partfun1(X1,u1_struct_0(X0),X4,X2)
| k3_lattice2(X1,X0,X2,X3) = k3_lattice2(X1,X0,X2,X4)
| np__0 = X2 ),
inference(definition_unfolding,[],[f12364,f13783]) ).
fof(f14601,plain,
! [X2,X3,X0,X1,X4] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| v1_xboole_0(X2)
| ~ m1_subset_1(X3,k5_finsub_1(X2))
| ~ m2_relset_1(X4,X2,u1_struct_0(X0))
| ~ v1_funct_2(X4,X2,u1_struct_0(X0))
| ~ v1_funct_1(X4)
| k8_funct_2(X2,u1_struct_0(X0),X4,sK340(X0,X1,X2,X3,X4)) != X1
| k3_lattice2(X2,X0,X3,X4) = X1
| np__0 = X3 ),
inference(definition_unfolding,[],[f12368,f13783]) ).
fof(f14602,plain,
! [X2,X3,X0,X1,X4] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| v1_xboole_0(X2)
| ~ m1_subset_1(X3,k5_finsub_1(X2))
| ~ m2_relset_1(X4,X2,u1_struct_0(X0))
| ~ v1_funct_2(X4,X2,u1_struct_0(X0))
| ~ v1_funct_1(X4)
| r2_hidden(sK340(X0,X1,X2,X3,X4),X3)
| k3_lattice2(X2,X0,X3,X4) = X1
| np__0 = X3 ),
inference(definition_unfolding,[],[f12367,f13783]) ).
fof(f14603,plain,
! [X2,X3,X0,X1,X4] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| v1_xboole_0(X2)
| ~ m1_subset_1(X3,k5_finsub_1(X2))
| ~ m2_relset_1(X4,X2,u1_struct_0(X0))
| ~ v1_funct_2(X4,X2,u1_struct_0(X0))
| ~ v1_funct_1(X4)
| m1_subset_1(sK340(X0,X1,X2,X3,X4),X2)
| k3_lattice2(X2,X0,X3,X4) = X1
| np__0 = X3 ),
inference(definition_unfolding,[],[f12366,f13783]) ).
fof(f14604,plain,
! [X0,X1] :
( ~ r1_tarski(X0,X1)
| k6_partfun1(X0) = k7_relat_1(k6_partfun1(X1),X0) ),
inference(definition_unfolding,[],[f12372,f13737,f13737]) ).
fof(f14605,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X2,X0,X1)
| k5_relat_1(X2,k6_partfun1(X1)) = X2 ),
inference(definition_unfolding,[],[f12373,f13737]) ).
fof(f14606,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X2,X0,X1)
| k5_relat_1(k6_partfun1(X0),X2) = X2 ),
inference(definition_unfolding,[],[f12374,f13737]) ).
fof(f14607,plain,
! [X0] :
( v1_xboole_0(X0)
| k6_partfun1(X0) != np__0 ),
inference(definition_unfolding,[],[f12375,f13783,f13737]) ).
fof(f14608,plain,
! [X0,X1] :
( ~ m2_relset_1(X1,X0,X0)
| k5_relat_1(X1,k6_partfun1(X0)) = X1 ),
inference(definition_unfolding,[],[f12377,f13737]) ).
fof(f14609,plain,
! [X0,X1] :
( ~ m2_relset_1(X1,X0,X0)
| k5_relat_1(k6_partfun1(X0),X1) = X1 ),
inference(definition_unfolding,[],[f12376,f13737]) ).
fof(f14611,plain,
! [X0] : r1_tarski(k6_partfun1(X0),k2_zfmisc_1(X0,X0)),
inference(definition_unfolding,[],[f12379,f13737]) ).
fof(f14612,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| k9_relat_1(k6_partfun1(X0),X1) = X1 ),
inference(definition_unfolding,[],[f12380,f13737]) ).
fof(f14613,plain,
! [X0,X1] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| k5_relat_1(X0,X1) != k6_partfun1(k1_relat_1(X0))
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| v2_funct_1(X0) ),
inference(definition_unfolding,[],[f12381,f13737]) ).
fof(f14614,plain,
! [X0] : v2_funct_1(k6_partfun1(X0)),
inference(definition_unfolding,[],[f12382,f13737]) ).
fof(f14615,plain,
! [X2,X0,X1] :
( ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| k5_relat_1(X2,X1) != X1
| ~ v2_funct_1(X1)
| ~ r1_tarski(k2_relat_1(X2),X0)
| k1_relat_1(X2) != X0
| k1_relat_1(X1) != X0
| k6_partfun1(X0) = X2 ),
inference(definition_unfolding,[],[f12383,f13737]) ).
fof(f14616,plain,
! [X0,X1] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| k5_relat_1(X0,X1) != X0
| k2_relat_1(X0) != k1_relat_1(X1)
| k6_partfun1(k1_relat_1(X1)) = X1 ),
inference(definition_unfolding,[],[f12384,f13737]) ).
fof(f14617,plain,
! [X0,X1] : k5_relat_1(k6_partfun1(X1),k6_partfun1(X0)) = k6_partfun1(k4_xboole_0(X0,k4_xboole_0(X0,X1))),
inference(definition_unfolding,[],[f12385,f13737,f13737,f13737,f10579]) ).
fof(f14620,plain,
! [X2,X0,X1] :
( ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| ~ r2_hidden(k1_funct_1(X2,X1),X0)
| ~ r2_hidden(X1,k1_relat_1(X2))
| r2_hidden(X1,k1_relat_1(k5_relat_1(X2,k6_partfun1(X0)))) ),
inference(definition_unfolding,[],[f12390,f13737]) ).
fof(f14621,plain,
! [X2,X0,X1] :
( ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| ~ r2_hidden(X1,k1_relat_1(k5_relat_1(X2,k6_partfun1(X0))))
| r2_hidden(X1,k1_relat_1(X2)) ),
inference(definition_unfolding,[],[f12389,f13737]) ).
fof(f14622,plain,
! [X2,X0,X1] :
( ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| ~ r2_hidden(X1,k1_relat_1(k5_relat_1(X2,k6_partfun1(X0))))
| r2_hidden(k1_funct_1(X2,X1),X0) ),
inference(definition_unfolding,[],[f12388,f13737]) ).
fof(f14623,plain,
! [X2,X0,X1] :
( ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| ~ r2_hidden(X1,k4_xboole_0(k1_relat_1(X2),k4_xboole_0(k1_relat_1(X2),X0)))
| k1_funct_1(X2,X1) = k1_funct_1(k5_relat_1(k6_partfun1(X0),X2),X1) ),
inference(definition_unfolding,[],[f12391,f13737,f10579]) ).
fof(f14624,plain,
! [X0,X1] :
( ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| k4_xboole_0(k1_relat_1(X1),k4_xboole_0(k1_relat_1(X1),X0)) = k1_relat_1(k5_relat_1(k6_partfun1(X0),X1)) ),
inference(definition_unfolding,[],[f12392,f10579,f13737]) ).
fof(f14625,plain,
! [X0,X1] :
( ~ r2_hidden(X1,X0)
| k1_funct_1(k6_partfun1(X0),X1) = X1 ),
inference(definition_unfolding,[],[f12393,f13737]) ).
fof(f14626,plain,
! [X0,X1] :
( ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| sK341(X0,X1) != k1_funct_1(X1,sK341(X0,X1))
| k1_relat_1(X1) != X0
| k6_partfun1(X0) = X1 ),
inference(definition_unfolding,[],[f12397,f13737]) ).
fof(f14627,plain,
! [X0,X1] :
( ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| r2_hidden(sK341(X0,X1),X0)
| k1_relat_1(X1) != X0
| k6_partfun1(X0) = X1 ),
inference(definition_unfolding,[],[f12396,f13737]) ).
fof(f14630,plain,
! [X0] : v1_relat_1(k6_partfun1(X0)),
inference(definition_unfolding,[],[f12399,f13737]) ).
fof(f14631,plain,
! [X0] : v1_funct_1(k6_partfun1(X0)),
inference(definition_unfolding,[],[f12398,f13737]) ).
fof(f14632,plain,
! [X0] : v1_relat_1(k6_partfun1(X0)),
inference(definition_unfolding,[],[f12400,f13737]) ).
fof(f14633,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| k8_relat_1(X0,X1) = k5_relat_1(X1,k6_partfun1(X0)) ),
inference(definition_unfolding,[],[f12401,f13737]) ).
fof(f14634,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| k7_relat_1(X1,X0) = k5_relat_1(k6_partfun1(X0),X1) ),
inference(definition_unfolding,[],[f12402,f13737]) ).
fof(f14635,plain,
! [X2,X3,X0,X1] :
( ~ v1_relat_1(X1)
| ~ v1_relat_1(X2)
| ~ v1_relat_1(X3)
| k5_relat_1(X1,X3) != k6_partfun1(X0)
| k5_relat_1(X2,X1) != k6_partfun1(k1_relat_1(X3))
| ~ r1_tarski(k2_relat_1(X2),X0)
| k1_relat_1(X1) != X0
| X2 = X3 ),
inference(definition_unfolding,[],[f12403,f13737,f13737]) ).
fof(f14636,plain,
np__0 = k6_partfun1(np__0),
inference(definition_unfolding,[],[f12404,f13783,f13737,f13783]) ).
fof(f14637,plain,
! [X0] :
( ~ v1_relat_1(X0)
| k5_relat_1(X0,k6_partfun1(k2_relat_1(X0))) = X0 ),
inference(definition_unfolding,[],[f12405,f13737]) ).
fof(f14638,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| ~ r1_tarski(k2_relat_1(X1),X0)
| k5_relat_1(X1,k6_partfun1(X0)) = X1 ),
inference(definition_unfolding,[],[f12406,f13737]) ).
fof(f14639,plain,
! [X0] :
( ~ v1_relat_1(X0)
| k5_relat_1(k6_partfun1(k1_relat_1(X0)),X0) = X0 ),
inference(definition_unfolding,[],[f12407,f13737]) ).
fof(f14640,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| ~ r1_tarski(k1_relat_1(X1),X0)
| k5_relat_1(k6_partfun1(X0),X1) = X1 ),
inference(definition_unfolding,[],[f12408,f13737]) ).
fof(f14641,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| r1_tarski(k5_relat_1(X1,k6_partfun1(X0)),X1) ),
inference(definition_unfolding,[],[f12410,f13737]) ).
fof(f14642,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| r1_tarski(k5_relat_1(k6_partfun1(X0),X1),X1) ),
inference(definition_unfolding,[],[f12409,f13737]) ).
fof(f14643,plain,
! [X2,X3,X0,X1] :
( ~ v1_relat_1(X3)
| ~ r2_hidden(k2_tarski(k2_tarski(X0,X1),k2_enumset1(X0,X0,X0,X0)),X3)
| ~ r2_hidden(X1,X2)
| r2_hidden(k2_tarski(k2_tarski(X0,X1),k2_enumset1(X0,X0,X0,X0)),k5_relat_1(X3,k6_partfun1(X2))) ),
inference(definition_unfolding,[],[f12413,f14052,f13737,f14052]) ).
fof(f14644,plain,
! [X2,X3,X0,X1] :
( ~ v1_relat_1(X3)
| ~ r2_hidden(k2_tarski(k2_tarski(X0,X1),k2_enumset1(X0,X0,X0,X0)),k5_relat_1(X3,k6_partfun1(X2)))
| r2_hidden(X1,X2) ),
inference(definition_unfolding,[],[f12412,f14052,f13737]) ).
fof(f14645,plain,
! [X2,X3,X0,X1] :
( ~ v1_relat_1(X3)
| ~ r2_hidden(k2_tarski(k2_tarski(X0,X1),k2_enumset1(X0,X0,X0,X0)),k5_relat_1(X3,k6_partfun1(X2)))
| r2_hidden(k2_tarski(k2_tarski(X0,X1),k2_enumset1(X0,X0,X0,X0)),X3) ),
inference(definition_unfolding,[],[f12411,f14052,f14052,f13737]) ).
fof(f14646,plain,
! [X2,X3,X0,X1] :
( ~ v1_relat_1(X3)
| ~ r2_hidden(k2_tarski(k2_tarski(X0,X1),k2_enumset1(X0,X0,X0,X0)),X3)
| ~ r2_hidden(X0,X2)
| r2_hidden(k2_tarski(k2_tarski(X0,X1),k2_enumset1(X0,X0,X0,X0)),k5_relat_1(k6_partfun1(X2),X3)) ),
inference(definition_unfolding,[],[f12416,f14052,f13737,f14052]) ).
fof(f14647,plain,
! [X2,X3,X0,X1] :
( ~ v1_relat_1(X3)
| ~ r2_hidden(k2_tarski(k2_tarski(X0,X1),k2_enumset1(X0,X0,X0,X0)),k5_relat_1(k6_partfun1(X2),X3))
| r2_hidden(X0,X2) ),
inference(definition_unfolding,[],[f12415,f14052,f13737]) ).
fof(f14648,plain,
! [X2,X3,X0,X1] :
( ~ v1_relat_1(X3)
| ~ r2_hidden(k2_tarski(k2_tarski(X0,X1),k2_enumset1(X0,X0,X0,X0)),k5_relat_1(k6_partfun1(X2),X3))
| r2_hidden(k2_tarski(k2_tarski(X0,X1),k2_enumset1(X0,X0,X0,X0)),X3) ),
inference(definition_unfolding,[],[f12414,f14052,f14052,f13737]) ).
fof(f14649,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| ~ r2_hidden(k2_tarski(k2_tarski(sK342(X0,X1),sK342(X0,X1)),k2_enumset1(sK342(X0,X1),sK342(X0,X1),sK342(X0,X1),sK342(X0,X1))),X1)
| r1_tarski(k6_partfun1(X0),X1) ),
inference(definition_unfolding,[],[f12418,f13737,f14052]) ).
fof(f14650,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| r2_hidden(sK342(X0,X1),X0)
| r1_tarski(k6_partfun1(X0),X1) ),
inference(definition_unfolding,[],[f12417,f13737]) ).
fof(f14651,plain,
! [X0] : k1_relat_1(k6_partfun1(X0)) = X0,
inference(definition_unfolding,[],[f12420,f13737]) ).
fof(f14652,plain,
! [X0] : k2_relat_1(k6_partfun1(X0)) = X0,
inference(definition_unfolding,[],[f12419,f13737]) ).
fof(f14653,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| ~ r2_hidden(k2_tarski(k2_tarski(sK343(X0,X1),sK344(X0,X1)),k2_enumset1(sK343(X0,X1),sK343(X0,X1),sK343(X0,X1),sK343(X0,X1))),X1)
| sK343(X0,X1) != sK344(X0,X1)
| ~ r2_hidden(sK343(X0,X1),X0)
| k6_partfun1(X0) = X1 ),
inference(definition_unfolding,[],[f12426,f13737,f14052]) ).
fof(f14654,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| r2_hidden(k2_tarski(k2_tarski(sK343(X0,X1),sK344(X0,X1)),k2_enumset1(sK343(X0,X1),sK343(X0,X1),sK343(X0,X1),sK343(X0,X1))),X1)
| r2_hidden(sK343(X0,X1),X0)
| k6_partfun1(X0) = X1 ),
inference(definition_unfolding,[],[f12425,f13737,f14052]) ).
fof(f14655,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| r2_hidden(k2_tarski(k2_tarski(sK343(X0,X1),sK344(X0,X1)),k2_enumset1(sK343(X0,X1),sK343(X0,X1),sK343(X0,X1),sK343(X0,X1))),X1)
| sK343(X0,X1) = sK344(X0,X1)
| k6_partfun1(X0) = X1 ),
inference(definition_unfolding,[],[f12424,f13737,f14052]) ).
fof(f14656,plain,
! [X0,X1,X4,X5] :
( ~ v1_relat_1(X1)
| k6_partfun1(X0) != X1
| X4 != X5
| ~ r2_hidden(X4,X0)
| r2_hidden(k2_tarski(k2_tarski(X4,X5),k2_enumset1(X4,X4,X4,X4)),X1) ),
inference(definition_unfolding,[],[f12423,f14052,f13737]) ).
fof(f14657,plain,
! [X0,X1,X4,X5] :
( ~ v1_relat_1(X1)
| k6_partfun1(X0) != X1
| ~ r2_hidden(k2_tarski(k2_tarski(X4,X5),k2_enumset1(X4,X4,X4,X4)),X1)
| r2_hidden(X4,X0) ),
inference(definition_unfolding,[],[f12422,f14052,f13737]) ).
fof(f14658,plain,
! [X0,X1,X4,X5] :
( ~ v1_relat_1(X1)
| k6_partfun1(X0) != X1
| ~ r2_hidden(k2_tarski(k2_tarski(X4,X5),k2_enumset1(X4,X4,X4,X4)),X1)
| X4 = X5 ),
inference(definition_unfolding,[],[f12421,f14052,f13737]) ).
fof(f14659,plain,
! [X2,X3,X0,X1,X4] :
( ~ m2_relset_1(X3,X0,X1)
| ~ v1_funct_2(X3,X0,X1)
| ~ v1_funct_1(X3)
| ~ v1_funct_1(X4)
| ~ v1_relat_1(X4)
| ~ r2_hidden(X2,X0)
| k1_funct_1(k5_relat_1(X3,X4),X2) = k1_funct_1(X4,k1_funct_1(X3,X2))
| np__0 = X1 ),
inference(definition_unfolding,[],[f12435,f13783]) ).
fof(f14660,plain,
! [X0,X1] :
( ~ v1_relat_1(X0)
| ~ v1_relat_1(X1)
| ~ r1_xboole_0(k2_relat_1(X0),k1_relat_1(X1))
| k5_relat_1(X0,X1) = np__0 ),
inference(definition_unfolding,[],[f12484,f13783]) ).
fof(f14661,plain,
! [X0] :
( ~ v1_relat_1(X0)
| np__0 = k5_relat_1(np__0,X0) ),
inference(definition_unfolding,[],[f12486,f13783,f13783]) ).
fof(f14662,plain,
! [X0] :
( ~ v1_relat_1(X0)
| np__0 = k5_relat_1(X0,np__0) ),
inference(definition_unfolding,[],[f12485,f13783,f13783]) ).
fof(f14663,plain,
! [X2,X0,X1] :
( ~ v1_relat_1(X0)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X2)
| r1_tarski(k5_relat_1(X0,k4_xboole_0(X1,k4_xboole_0(X1,X2))),k4_xboole_0(k5_relat_1(X0,X1),k4_xboole_0(k5_relat_1(X0,X1),k5_relat_1(X0,X2)))) ),
inference(definition_unfolding,[],[f12488,f10579,f10579]) ).
fof(f14664,plain,
! [X2,X0,X1] :
( ~ v1_relat_1(X0)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X2)
| k5_relat_1(X0,k3_tarski(k2_tarski(X1,X2))) = k3_tarski(k2_tarski(k5_relat_1(X0,X1),k5_relat_1(X0,X2))) ),
inference(definition_unfolding,[],[f12489,f12734,f12734]) ).
fof(f14665,plain,
! [X2,X0,X1,X5] :
( ~ v1_relat_1(X0)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X2)
| ~ r2_hidden(k2_tarski(k2_tarski(sK351(X0,X1,X2),sK352(X0,X1,X2)),k2_enumset1(sK351(X0,X1,X2),sK351(X0,X1,X2),sK351(X0,X1,X2),sK351(X0,X1,X2))),X2)
| ~ r2_hidden(k2_tarski(k2_tarski(X5,sK352(X0,X1,X2)),k2_enumset1(X5,X5,X5,X5)),X1)
| ~ r2_hidden(k2_tarski(k2_tarski(sK351(X0,X1,X2),X5),k2_enumset1(sK351(X0,X1,X2),sK351(X0,X1,X2),sK351(X0,X1,X2),sK351(X0,X1,X2))),X0)
| k5_relat_1(X0,X1) = X2 ),
inference(definition_unfolding,[],[f12502,f14052,f14052,f14052]) ).
fof(f14666,plain,
! [X2,X0,X1] :
( ~ v1_relat_1(X0)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X2)
| r2_hidden(k2_tarski(k2_tarski(sK351(X0,X1,X2),sK352(X0,X1,X2)),k2_enumset1(sK351(X0,X1,X2),sK351(X0,X1,X2),sK351(X0,X1,X2),sK351(X0,X1,X2))),X2)
| r2_hidden(k2_tarski(k2_tarski(sK351(X0,X1,X2),sK353(X0,X1,X2)),k2_enumset1(sK351(X0,X1,X2),sK351(X0,X1,X2),sK351(X0,X1,X2),sK351(X0,X1,X2))),X0)
| k5_relat_1(X0,X1) = X2 ),
inference(definition_unfolding,[],[f12501,f14052,f14052]) ).
fof(f14667,plain,
! [X2,X0,X1] :
( ~ v1_relat_1(X0)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X2)
| r2_hidden(k2_tarski(k2_tarski(sK351(X0,X1,X2),sK352(X0,X1,X2)),k2_enumset1(sK351(X0,X1,X2),sK351(X0,X1,X2),sK351(X0,X1,X2),sK351(X0,X1,X2))),X2)
| r2_hidden(k2_tarski(k2_tarski(sK353(X0,X1,X2),sK352(X0,X1,X2)),k2_enumset1(sK353(X0,X1,X2),sK353(X0,X1,X2),sK353(X0,X1,X2),sK353(X0,X1,X2))),X1)
| k5_relat_1(X0,X1) = X2 ),
inference(definition_unfolding,[],[f12500,f14052,f14052]) ).
fof(f14668,plain,
! [X2,X0,X1,X8,X9,X7] :
( ~ v1_relat_1(X0)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X2)
| k5_relat_1(X0,X1) != X2
| ~ r2_hidden(k2_tarski(k2_tarski(X9,X8),k2_enumset1(X9,X9,X9,X9)),X1)
| ~ r2_hidden(k2_tarski(k2_tarski(X7,X9),k2_enumset1(X7,X7,X7,X7)),X0)
| r2_hidden(k2_tarski(k2_tarski(X7,X8),k2_enumset1(X7,X7,X7,X7)),X2) ),
inference(definition_unfolding,[],[f12499,f14052,f14052,f14052]) ).
fof(f14669,plain,
! [X2,X0,X1,X8,X7] :
( ~ v1_relat_1(X0)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X2)
| k5_relat_1(X0,X1) != X2
| ~ r2_hidden(k2_tarski(k2_tarski(X7,X8),k2_enumset1(X7,X7,X7,X7)),X2)
| r2_hidden(k2_tarski(k2_tarski(X7,sK354(X0,X1,X7,X8)),k2_enumset1(X7,X7,X7,X7)),X0) ),
inference(definition_unfolding,[],[f12498,f14052,f14052]) ).
fof(f14670,plain,
! [X2,X0,X1,X8,X7] :
( ~ v1_relat_1(X0)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X2)
| k5_relat_1(X0,X1) != X2
| ~ r2_hidden(k2_tarski(k2_tarski(X7,X8),k2_enumset1(X7,X7,X7,X7)),X2)
| r2_hidden(k2_tarski(k2_tarski(sK354(X0,X1,X7,X8),X8),k2_enumset1(sK354(X0,X1,X7,X8),sK354(X0,X1,X7,X8),sK354(X0,X1,X7,X8),sK354(X0,X1,X7,X8))),X1) ),
inference(definition_unfolding,[],[f12497,f14052,f14052]) ).
fof(f14671,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X2,X0,X1)
| r1_tarski(k3_relat_1(X2),k3_tarski(k2_tarski(X0,X1))) ),
inference(definition_unfolding,[],[f12518,f12734]) ).
fof(f14672,plain,
! [X0] :
( ~ v1_relat_1(X0)
| ~ r1_tarski(k6_partfun1(k3_relat_1(X0)),X0)
| v1_relat_2(X0) ),
inference(definition_unfolding,[],[f12520,f13737]) ).
fof(f14673,plain,
! [X0] :
( ~ v1_relat_1(X0)
| ~ v1_relat_2(X0)
| r1_tarski(k6_partfun1(k3_relat_1(X0)),X0) ),
inference(definition_unfolding,[],[f12519,f13737]) ).
fof(f14674,plain,
! [X0,X1] :
( ~ v1_relat_1(X0)
| ~ v1_relat_1(X1)
| r1_tarski(k3_relat_1(k4_xboole_0(X0,k4_xboole_0(X0,X1))),k4_xboole_0(k3_relat_1(X0),k4_xboole_0(k3_relat_1(X0),k3_relat_1(X1)))) ),
inference(definition_unfolding,[],[f12522,f10579,f10579]) ).
fof(f14675,plain,
! [X0,X1] :
( ~ v1_relat_1(X0)
| ~ v1_relat_1(X1)
| k3_relat_1(k3_tarski(k2_tarski(X0,X1))) = k3_tarski(k2_tarski(k3_relat_1(X0),k3_relat_1(X1))) ),
inference(definition_unfolding,[],[f12523,f12734,f12734]) ).
fof(f14676,plain,
! [X2,X0,X1] :
( ~ v1_relat_1(X2)
| k2_enumset1(k2_tarski(k2_tarski(X0,X1),k2_enumset1(X0,X0,X0,X0)),k2_tarski(k2_tarski(X0,X1),k2_enumset1(X0,X0,X0,X0)),k2_tarski(k2_tarski(X0,X1),k2_enumset1(X0,X0,X0,X0)),k2_tarski(k2_tarski(X0,X1),k2_enumset1(X0,X0,X0,X0))) != X2
| k2_tarski(X0,X1) = k3_relat_1(X2) ),
inference(definition_unfolding,[],[f12524,f14051,f14052]) ).
fof(f14677,plain,
! [X2,X0,X1] :
( ~ v1_relat_1(X2)
| ~ r2_hidden(k2_tarski(k2_tarski(X0,X1),k2_enumset1(X0,X0,X0,X0)),X2)
| r2_hidden(X0,k3_relat_1(X2)) ),
inference(definition_unfolding,[],[f12527,f14052]) ).
fof(f14678,plain,
! [X2,X0,X1] :
( ~ v1_relat_1(X2)
| ~ r2_hidden(k2_tarski(k2_tarski(X0,X1),k2_enumset1(X0,X0,X0,X0)),X2)
| r2_hidden(X1,k3_relat_1(X2)) ),
inference(definition_unfolding,[],[f12526,f14052]) ).
fof(f14679,plain,
! [X0] :
( ~ v1_relat_1(X0)
| k3_relat_1(X0) = k3_tarski(k2_tarski(k1_relat_1(X0),k2_relat_1(X0))) ),
inference(definition_unfolding,[],[f12530,f12734]) ).
fof(f14680,plain,
! [X2,X0,X1] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| k1_binop_1(X0,X1,X2) = k1_funct_1(X0,k2_tarski(k2_tarski(X1,X2),k2_enumset1(X1,X1,X1,X1))) ),
inference(definition_unfolding,[],[f12605,f14052]) ).
fof(f14681,plain,
! [X2,X3,X0,X1] :
( ~ m2_relset_1(X2,X0,X0)
| ~ v1_partfun1(X2,X0,X0)
| ~ v8_relat_2(X2)
| ~ v3_relat_2(X2)
| ~ r2_hidden(X3,X0)
| k6_eqrel_1(X0,X2,X3) != k6_eqrel_1(X0,X2,X1)
| r2_hidden(k2_tarski(k2_tarski(X3,X1),k2_enumset1(X3,X3,X3,X3)),X2) ),
inference(definition_unfolding,[],[f12608,f14052]) ).
fof(f14682,plain,
! [X2,X3,X0,X1] :
( ~ m2_relset_1(X2,X0,X0)
| ~ v1_partfun1(X2,X0,X0)
| ~ v8_relat_2(X2)
| ~ v3_relat_2(X2)
| ~ r2_hidden(X3,X0)
| ~ r2_hidden(k2_tarski(k2_tarski(X3,X1),k2_enumset1(X3,X3,X3,X3)),X2)
| k6_eqrel_1(X0,X2,X3) = k6_eqrel_1(X0,X2,X1) ),
inference(definition_unfolding,[],[f12607,f14052]) ).
fof(f14683,plain,
! [X0,X1] :
( ~ r2_hidden(X1,X0)
| k6_eqrel_1(X0,k6_partfun1(X0),X1) = k2_enumset1(X1,X1,X1,X1) ),
inference(definition_unfolding,[],[f12609,f14051]) ).
fof(f14684,plain,
! [X2,X3,X0,X1,X4] :
( ~ m2_relset_1(X4,X0,X0)
| ~ v1_partfun1(X4,X0,X0)
| ~ v8_relat_2(X4)
| ~ v3_relat_2(X4)
| ~ v1_relat_2(X4)
| ~ r2_hidden(X3,k6_eqrel_1(X0,X4,X2))
| ~ r2_hidden(X1,k6_eqrel_1(X0,X4,X2))
| r2_hidden(k2_tarski(k2_tarski(X1,X3),k2_enumset1(X1,X1,X1,X1)),X4) ),
inference(definition_unfolding,[],[f12613,f14052]) ).
fof(f14685,plain,
! [X2,X3,X0,X1] :
( ~ m2_relset_1(X3,X0,X0)
| ~ v1_partfun1(X3,X0,X0)
| ~ v3_relat_2(X3)
| ~ v1_relat_2(X3)
| ~ r2_hidden(k2_tarski(k2_tarski(X1,X2),k2_enumset1(X1,X1,X1,X1)),X3)
| r2_hidden(X1,k6_eqrel_1(X0,X3,X2)) ),
inference(definition_unfolding,[],[f12617,f14052]) ).
fof(f14686,plain,
! [X2,X3,X0,X1] :
( ~ m2_relset_1(X3,X0,X0)
| ~ v1_partfun1(X3,X0,X0)
| ~ v3_relat_2(X3)
| ~ v1_relat_2(X3)
| ~ r2_hidden(X1,k6_eqrel_1(X0,X3,X2))
| r2_hidden(k2_tarski(k2_tarski(X1,X2),k2_enumset1(X1,X1,X1,X1)),X3) ),
inference(definition_unfolding,[],[f12616,f14052]) ).
fof(f14687,plain,
! [X0] :
( r2_hidden(sK381(X0),X0)
| np__0 = X0 ),
inference(definition_unfolding,[],[f12619,f13783]) ).
fof(f14688,plain,
! [X2,X3,X0,X6,X4,X5] :
( ~ r2_hidden(X6,sK381(X0))
| ~ r2_hidden(X5,X6)
| ~ r2_hidden(X4,X5)
| ~ r2_hidden(X3,X4)
| ~ r2_hidden(X2,X3)
| r1_xboole_0(X2,X0)
| np__0 = X0 ),
inference(definition_unfolding,[],[f12618,f13783]) ).
fof(f14689,plain,
! [X0] :
( r2_hidden(sK382(X0),X0)
| np__0 = X0 ),
inference(definition_unfolding,[],[f12621,f13783]) ).
fof(f14690,plain,
! [X2,X3,X0,X4,X5] :
( ~ r2_hidden(X5,sK382(X0))
| ~ r2_hidden(X4,X5)
| ~ r2_hidden(X3,X4)
| ~ r2_hidden(X2,X3)
| r1_xboole_0(X2,X0)
| np__0 = X0 ),
inference(definition_unfolding,[],[f12620,f13783]) ).
fof(f14691,plain,
! [X0] :
( r2_hidden(sK383(X0),X0)
| np__0 = X0 ),
inference(definition_unfolding,[],[f12623,f13783]) ).
fof(f14692,plain,
! [X2,X3,X0,X4] :
( ~ r2_hidden(X4,sK383(X0))
| ~ r2_hidden(X3,X4)
| ~ r2_hidden(X2,X3)
| r1_xboole_0(X2,X0)
| np__0 = X0 ),
inference(definition_unfolding,[],[f12622,f13783]) ).
fof(f14693,plain,
! [X0] :
( r2_hidden(sK384(X0),X0)
| np__0 = X0 ),
inference(definition_unfolding,[],[f12625,f13783]) ).
fof(f14694,plain,
! [X2,X3,X0] :
( ~ r2_hidden(X3,sK384(X0))
| ~ r2_hidden(X2,X3)
| r1_xboole_0(X2,X0)
| np__0 = X0 ),
inference(definition_unfolding,[],[f12624,f13783]) ).
fof(f14695,plain,
! [X0] :
( r2_hidden(sK385(X0),X0)
| np__0 = X0 ),
inference(definition_unfolding,[],[f12627,f13783]) ).
fof(f14696,plain,
! [X2,X0] :
( ~ r2_hidden(X2,sK385(X0))
| r1_xboole_0(X2,X0)
| np__0 = X0 ),
inference(definition_unfolding,[],[f12626,f13783]) ).
fof(f14697,plain,
! [X0] :
( r2_hidden(sK386(X0),X0)
| np__0 = X0 ),
inference(definition_unfolding,[],[f12629,f13783]) ).
fof(f14698,plain,
! [X0] :
( r1_xboole_0(sK386(X0),X0)
| np__0 = X0 ),
inference(definition_unfolding,[],[f12628,f13783]) ).
fof(f14699,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| ~ r1_xboole_0(k2_relat_1(X1),X0)
| k10_relat_1(X1,X0) = np__0 ),
inference(definition_unfolding,[],[f12632,f13783]) ).
fof(f14700,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| k10_relat_1(X1,X0) != np__0
| r1_xboole_0(k2_relat_1(X1),X0) ),
inference(definition_unfolding,[],[f12631,f13783]) ).
fof(f14701,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| ~ r1_xboole_0(k1_relat_1(X1),X0)
| k9_relat_1(X1,X0) = np__0 ),
inference(definition_unfolding,[],[f12634,f13783]) ).
fof(f14702,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| k9_relat_1(X1,X0) != np__0
| r1_xboole_0(k1_relat_1(X1),X0) ),
inference(definition_unfolding,[],[f12633,f13783]) ).
fof(f14703,plain,
! [X2,X0,X1] :
( ~ r1_xboole_0(sK387(X1,X2),X2)
| ~ r1_tarski(X2,k3_tarski(k3_tarski(k2_tarski(X0,X1))))
| r1_tarski(X2,k3_tarski(X0)) ),
inference(definition_unfolding,[],[f12636,f12734]) ).
fof(f14704,plain,
! [X2,X0,X1] :
( r2_hidden(sK387(X1,X2),X1)
| ~ r1_tarski(X2,k3_tarski(k3_tarski(k2_tarski(X0,X1))))
| r1_tarski(X2,k3_tarski(X0)) ),
inference(definition_unfolding,[],[f12635,f12734]) ).
fof(f14705,plain,
! [X2,X3,X0,X1] :
( X0 = X1
| r1_xboole_0(k2_zfmisc_1(k2_enumset1(X0,X0,X0,X0),X2),k2_zfmisc_1(k2_enumset1(X1,X1,X1,X1),X3)) ),
inference(definition_unfolding,[],[f12638,f14051,f14051]) ).
fof(f14706,plain,
! [X2,X3,X0,X1] :
( X0 = X1
| r1_xboole_0(k2_zfmisc_1(X2,k2_enumset1(X0,X0,X0,X0)),k2_zfmisc_1(X3,k2_enumset1(X1,X1,X1,X1))) ),
inference(definition_unfolding,[],[f12637,f14051,f14051]) ).
fof(f14707,plain,
! [X0,X1] :
( sK388(X0,X1) != sK389(X0,X1)
| k3_tarski(k4_xboole_0(X0,k4_xboole_0(X0,X1))) = k4_xboole_0(k3_tarski(X0),k4_xboole_0(k3_tarski(X0),k3_tarski(X1))) ),
inference(definition_unfolding,[],[f12644,f10579,f10579]) ).
fof(f14708,plain,
! [X0,X1] :
( ~ r1_xboole_0(sK388(X0,X1),sK389(X0,X1))
| k3_tarski(k4_xboole_0(X0,k4_xboole_0(X0,X1))) = k4_xboole_0(k3_tarski(X0),k4_xboole_0(k3_tarski(X0),k3_tarski(X1))) ),
inference(definition_unfolding,[],[f12643,f10579,f10579]) ).
fof(f14709,plain,
! [X0,X1] :
( r2_hidden(sK388(X0,X1),k3_tarski(k2_tarski(X0,X1)))
| k3_tarski(k4_xboole_0(X0,k4_xboole_0(X0,X1))) = k4_xboole_0(k3_tarski(X0),k4_xboole_0(k3_tarski(X0),k3_tarski(X1))) ),
inference(definition_unfolding,[],[f12642,f10579,f10579,f12734]) ).
fof(f14710,plain,
! [X0,X1] :
( r2_hidden(sK389(X0,X1),k3_tarski(k2_tarski(X0,X1)))
| k3_tarski(k4_xboole_0(X0,k4_xboole_0(X0,X1))) = k4_xboole_0(k3_tarski(X0),k4_xboole_0(k3_tarski(X0),k3_tarski(X1))) ),
inference(definition_unfolding,[],[f12641,f10579,f10579,f12734]) ).
fof(f14712,plain,
! [X0,X1] :
( r2_hidden(X0,X1)
| r1_xboole_0(k2_enumset1(X0,X0,X0,X0),X1) ),
inference(definition_unfolding,[],[f12649,f14051]) ).
fof(f14714,plain,
! [X0,X1] :
( X0 = X1
| r1_xboole_0(k2_enumset1(X0,X0,X0,X0),k2_enumset1(X1,X1,X1,X1)) ),
inference(definition_unfolding,[],[f12652,f14051,f14051]) ).
fof(f14715,plain,
! [X0,X1] :
( X0 != X1
| ~ r1_xboole_0(k2_enumset1(X0,X0,X0,X0),k2_enumset1(X1,X1,X1,X1)) ),
inference(definition_unfolding,[],[f12653,f14051,f14051]) ).
fof(f14716,plain,
! [X2,X3,X0,X1] :
( ~ r1_xboole_0(X2,X3)
| ~ r1_xboole_0(X1,X3)
| ~ r1_xboole_0(X0,X3)
| r1_xboole_0(k3_tarski(k2_tarski(k3_tarski(k2_tarski(X0,X1)),X2)),X3) ),
inference(definition_unfolding,[],[f12654,f12734,f12734]) ).
fof(f14717,plain,
! [X0,X1] : r1_xboole_0(k4_xboole_0(X0,k4_xboole_0(X0,k4_xboole_0(X0,X1))),X1),
inference(definition_unfolding,[],[f12657,f10579]) ).
fof(f14720,plain,
! [X2,X0,X1] :
( ~ r1_xboole_0(X0,X1)
| k3_tarski(k2_tarski(k4_xboole_0(X2,X0),X1)) = k4_xboole_0(k3_tarski(k2_tarski(X2,X1)),X0) ),
inference(definition_unfolding,[],[f12660,f12734,f12734]) ).
fof(f14721,plain,
! [X2,X0,X1] :
( ~ r1_xboole_0(X0,X1)
| k4_xboole_0(X0,k4_xboole_0(X0,X2)) = k4_xboole_0(X0,k4_xboole_0(X0,k3_tarski(k2_tarski(X1,X2)))) ),
inference(definition_unfolding,[],[f12670,f10579,f12734,f10579]) ).
fof(f14722,plain,
! [X2,X0,X1] :
( ~ r1_xboole_0(X0,k4_xboole_0(X1,k4_xboole_0(X1,X2)))
| ~ r1_tarski(X0,X2)
| r1_xboole_0(X0,X1) ),
inference(definition_unfolding,[],[f12671,f10579]) ).
fof(f14723,plain,
! [X2,X0,X1] :
( ~ r1_xboole_0(X0,X1)
| r1_xboole_0(k4_xboole_0(X2,k4_xboole_0(X2,X0)),k4_xboole_0(X2,k4_xboole_0(X2,X1))) ),
inference(definition_unfolding,[],[f12672,f10579,f10579]) ).
fof(f14724,plain,
! [X0,X1] :
( ~ r1_xboole_0(k4_xboole_0(X0,k4_xboole_0(X0,X1)),X1)
| r1_xboole_0(X0,X1) ),
inference(definition_unfolding,[],[f12673,f10579]) ).
fof(f14726,plain,
! [X2,X0,X1] :
( ~ r1_xboole_0(X0,X2)
| ~ r1_tarski(X0,k3_tarski(k2_tarski(X1,X2)))
| r1_tarski(X0,X1) ),
inference(definition_unfolding,[],[f12675,f12734]) ).
fof(f14727,plain,
! [X2,X3,X0,X1] :
( ~ r1_xboole_0(X3,X1)
| ~ r1_xboole_0(X2,X0)
| k3_tarski(k2_tarski(X0,X1)) != k3_tarski(k2_tarski(X2,X3))
| X1 = X2 ),
inference(definition_unfolding,[],[f12676,f12734,f12734]) ).
fof(f14728,plain,
! [X2,X0,X1] :
( ~ r1_xboole_0(X2,X1)
| ~ r1_xboole_0(X0,X1)
| k3_tarski(k2_tarski(X0,X1)) != k3_tarski(k2_tarski(X2,X1))
| X0 = X2 ),
inference(definition_unfolding,[],[f12677,f12734,f12734]) ).
fof(f14729,plain,
! [X2,X0,X1] :
( ~ r1_xboole_0(X0,X2)
| ~ r1_xboole_0(X0,X1)
| r1_xboole_0(X0,k3_tarski(k2_tarski(X1,X2))) ),
inference(definition_unfolding,[],[f12680,f12734]) ).
fof(f14730,plain,
! [X2,X0,X1] :
( ~ r1_xboole_0(X0,k3_tarski(k2_tarski(X1,X2)))
| r1_xboole_0(X0,X1) ),
inference(definition_unfolding,[],[f12679,f12734]) ).
fof(f14731,plain,
! [X2,X0,X1] :
( ~ r1_xboole_0(X0,k3_tarski(k2_tarski(X1,X2)))
| r1_xboole_0(X0,X2) ),
inference(definition_unfolding,[],[f12678,f12734]) ).
fof(f14732,plain,
! [X2,X0,X1] :
( ~ r1_xboole_0(X1,X2)
| ~ r1_tarski(X0,X2)
| ~ r1_tarski(X0,X1)
| np__0 = X0 ),
inference(definition_unfolding,[],[f12683,f13783]) ).
fof(f14734,plain,
! [X0] :
( ~ r1_xboole_0(X0,X0)
| np__0 = X0 ),
inference(definition_unfolding,[],[f12684,f13783]) ).
fof(f14735,plain,
! [X0] : r1_xboole_0(X0,np__0),
inference(definition_unfolding,[],[f12686,f13783]) ).
fof(f14740,plain,
! [X0,X1] :
( r2_hidden(sK391(X0,X1),k4_xboole_0(X0,k4_xboole_0(X0,X1)))
| r1_xboole_0(X0,X1) ),
inference(definition_unfolding,[],[f12695,f10579]) ).
fof(f14741,plain,
! [X3,X0,X1] :
( ~ r1_xboole_0(X0,X1)
| ~ r2_hidden(X3,k4_xboole_0(X0,k4_xboole_0(X0,X1))) ),
inference(definition_unfolding,[],[f12694,f10579]) ).
fof(f14742,plain,
! [X0,X1] :
( k4_xboole_0(X0,k4_xboole_0(X0,X1)) != np__0
| r1_xboole_0(X0,X1) ),
inference(definition_unfolding,[],[f12700,f13783,f10579]) ).
fof(f14743,plain,
! [X0,X1] :
( ~ r1_xboole_0(X0,X1)
| k4_xboole_0(X0,k4_xboole_0(X0,X1)) = np__0 ),
inference(definition_unfolding,[],[f12699,f13783,f10579]) ).
fof(f14744,plain,
! [X0] :
( ~ v3_ordinal1(X0)
| k3_tarski(k3_tarski(k2_tarski(X0,k2_enumset1(X0,X0,X0,X0)))) = X0 ),
inference(definition_unfolding,[],[f12722,f14054]) ).
fof(f14745,plain,
! [X0,X1] : r1_tarski(k3_tarski(k4_xboole_0(X0,k4_xboole_0(X0,X1))),k4_xboole_0(k3_tarski(X0),k4_xboole_0(k3_tarski(X0),k3_tarski(X1)))),
inference(definition_unfolding,[],[f12729,f10579,f10579]) ).
fof(f14746,plain,
! [X0,X1] : k3_tarski(k3_tarski(k2_tarski(X0,X1))) = k3_tarski(k2_tarski(k3_tarski(X0),k3_tarski(X1))),
inference(definition_unfolding,[],[f12730,f12734,f12734]) ).
fof(f14749,plain,
np__0 = k3_tarski(np__0),
inference(definition_unfolding,[],[f12738,f13783,f13783]) ).
fof(f14750,plain,
! [X0,X1] : k4_xboole_0(X0,k4_xboole_0(X0,X1)) = k1_setfam_1(k2_tarski(X0,X1)),
inference(definition_unfolding,[],[f12754,f10579]) ).
fof(f14751,plain,
! [X0] : k1_setfam_1(k2_enumset1(X0,X0,X0,X0)) = X0,
inference(definition_unfolding,[],[f12755,f14051]) ).
fof(f14752,plain,
! [X0,X1] :
( k1_setfam_1(k3_tarski(k2_tarski(X0,X1))) = k4_xboole_0(k1_setfam_1(X0),k4_xboole_0(k1_setfam_1(X0),k1_setfam_1(X1)))
| np__0 = X1
| np__0 = X0 ),
inference(definition_unfolding,[],[f12756,f13783,f13783,f12734,f10579]) ).
fof(f14753,plain,
! [X0,X1] :
( ~ r1_tarski(X0,X1)
| r1_tarski(k1_setfam_1(X1),k1_setfam_1(X0))
| np__0 = X0 ),
inference(definition_unfolding,[],[f12759,f13783]) ).
fof(f14754,plain,
! [X0,X1] :
( ~ r1_tarski(X1,sK401(X0,X1))
| r1_tarski(X1,k1_setfam_1(X0))
| np__0 = X0 ),
inference(definition_unfolding,[],[f12761,f13783]) ).
fof(f14755,plain,
! [X0,X1] :
( r2_hidden(sK401(X0,X1),X0)
| r1_tarski(X1,k1_setfam_1(X0))
| np__0 = X0 ),
inference(definition_unfolding,[],[f12760,f13783]) ).
fof(f14756,plain,
! [X0] :
( ~ r2_hidden(np__0,X0)
| k1_setfam_1(X0) = np__0 ),
inference(definition_unfolding,[],[f12762,f13783,f13783]) ).
fof(f14758,plain,
! [X0,X1] :
( np__0 = X0
| ~ r2_hidden(sK402(X0,X1),X1)
| ~ r2_hidden(sK402(X0,X1),sK403(X0,X1))
| k1_setfam_1(X0) = X1 ),
inference(definition_unfolding,[],[f12773,f13783]) ).
fof(f14759,plain,
! [X0,X1] :
( np__0 = X0
| ~ r2_hidden(sK402(X0,X1),X1)
| r2_hidden(sK403(X0,X1),X0)
| k1_setfam_1(X0) = X1 ),
inference(definition_unfolding,[],[f12772,f13783]) ).
fof(f14760,plain,
! [X0,X1,X4] :
( np__0 = X0
| r2_hidden(sK402(X0,X1),X1)
| ~ r2_hidden(X4,X0)
| r2_hidden(sK402(X0,X1),X4)
| k1_setfam_1(X0) = X1 ),
inference(definition_unfolding,[],[f12771,f13783]) ).
fof(f14761,plain,
! [X0,X1,X5] :
( np__0 = X0
| k1_setfam_1(X0) != X1
| ~ r2_hidden(X5,sK404(X0,X5))
| r2_hidden(X5,X1) ),
inference(definition_unfolding,[],[f12770,f13783]) ).
fof(f14762,plain,
! [X0,X1,X5] :
( np__0 = X0
| k1_setfam_1(X0) != X1
| r2_hidden(sK404(X0,X5),X0)
| r2_hidden(X5,X1) ),
inference(definition_unfolding,[],[f12769,f13783]) ).
fof(f14763,plain,
! [X0,X1,X7,X5] :
( np__0 = X0
| k1_setfam_1(X0) != X1
| ~ r2_hidden(X5,X1)
| ~ r2_hidden(X7,X0)
| r2_hidden(X5,X7) ),
inference(definition_unfolding,[],[f12768,f13783]) ).
fof(f14765,plain,
! [X0,X1] :
( np__0 != X0
| k1_setfam_1(X0) != X1
| np__0 = X1 ),
inference(definition_unfolding,[],[f12766,f13783,f13783]) ).
fof(f14766,plain,
! [X0] :
( ~ v4_ordinal2(X0)
| k2_finseq_1(X0) = k4_xboole_0(k2_finseq_1(k2_xcmplx_0(X0,np__1)),k2_enumset1(k2_xcmplx_0(X0,np__1),k2_xcmplx_0(X0,np__1),k2_xcmplx_0(X0,np__1),k2_xcmplx_0(X0,np__1))) ),
inference(definition_unfolding,[],[f12784,f14051]) ).
fof(f14767,plain,
! [X0] :
( ~ v4_ordinal2(X0)
| k2_finseq_1(k2_xcmplx_0(X0,np__1)) = k3_tarski(k2_tarski(k2_finseq_1(X0),k2_enumset1(k2_xcmplx_0(X0,np__1),k2_xcmplx_0(X0,np__1),k2_xcmplx_0(X0,np__1),k2_xcmplx_0(X0,np__1)))) ),
inference(definition_unfolding,[],[f12785,f12734,f14051]) ).
fof(f14770,plain,
! [X0] :
( v1_xboole_0(X0)
| ~ r2_hidden(k3_tarski(k2_tarski(sK406(X0),sK407(X0))),X0)
| ~ r2_hidden(k5_xboole_0(sK406(X0),sK407(X0)),X0)
| v4_finsub_1(X0) ),
inference(definition_unfolding,[],[f12808,f12734]) ).
fof(f14771,plain,
! [X0] :
( v1_xboole_0(X0)
| ~ r2_hidden(k4_xboole_0(sK408(X0),k4_xboole_0(sK408(X0),sK409(X0))),X0)
| ~ r2_hidden(k5_xboole_0(sK408(X0),sK409(X0)),X0)
| v4_finsub_1(X0) ),
inference(definition_unfolding,[],[f12811,f10579]) ).
fof(f14772,plain,
! [X0,X1] : r1_tarski(k3_tarski(k2_tarski(k1_zfmisc_1(k4_xboole_0(X0,X1)),k1_zfmisc_1(k4_xboole_0(X1,X0)))),k1_zfmisc_1(k5_xboole_0(X0,X1))),
inference(definition_unfolding,[],[f12818,f12734]) ).
fof(f14773,plain,
! [X0,X1] :
( X0 = X1
| k2_tarski(X0,X1) = k5_xboole_0(k2_enumset1(X0,X0,X0,X0),k2_enumset1(X1,X1,X1,X1)) ),
inference(definition_unfolding,[],[f12819,f14051,f14051]) ).
fof(f14774,plain,
! [X2,X0,X1] : k5_xboole_0(k4_xboole_0(X0,k4_xboole_0(X0,X1)),k4_xboole_0(X2,k4_xboole_0(X2,X1))) = k4_xboole_0(k5_xboole_0(X0,X2),k4_xboole_0(k5_xboole_0(X0,X2),X1)),
inference(definition_unfolding,[],[f12820,f10579,f10579,f10579]) ).
fof(f14775,plain,
! [X2,X0,X1] :
( ~ r1_xboole_0(X0,k4_xboole_0(X1,k4_xboole_0(X1,X2)))
| ~ r1_tarski(X0,k3_tarski(k2_tarski(X1,X2)))
| r1_tarski(X0,k5_xboole_0(X1,X2)) ),
inference(definition_unfolding,[],[f12824,f12734,f10579]) ).
fof(f14776,plain,
! [X2,X0,X1] :
( ~ r1_tarski(X0,k5_xboole_0(X1,X2))
| r1_tarski(X0,k3_tarski(k2_tarski(X1,X2))) ),
inference(definition_unfolding,[],[f12823,f12734]) ).
fof(f14777,plain,
! [X2,X0,X1] :
( ~ r1_tarski(X0,k5_xboole_0(X1,X2))
| r1_xboole_0(X0,k4_xboole_0(X1,k4_xboole_0(X1,X2))) ),
inference(definition_unfolding,[],[f12822,f10579]) ).
fof(f14778,plain,
! [X0,X1] : r1_xboole_0(k4_xboole_0(X0,k4_xboole_0(X0,X1)),k5_xboole_0(X0,X1)),
inference(definition_unfolding,[],[f12825,f10579]) ).
fof(f14779,plain,
! [X2,X0,X1] : k4_xboole_0(X0,k5_xboole_0(X1,X2)) = k3_tarski(k2_tarski(k4_xboole_0(X0,k3_tarski(k2_tarski(X1,X2))),k4_xboole_0(k4_xboole_0(X0,k4_xboole_0(X0,X1)),k4_xboole_0(k4_xboole_0(X0,k4_xboole_0(X0,X1)),X2)))),
inference(definition_unfolding,[],[f12826,f12734,f12734,f10579,f10579]) ).
fof(f14781,plain,
! [X0,X1] : k5_xboole_0(X0,k4_xboole_0(X1,X0)) = k3_tarski(k2_tarski(X0,X1)),
inference(definition_unfolding,[],[f12830,f12734]) ).
fof(f14782,plain,
! [X0,X1] : k4_xboole_0(X0,k4_xboole_0(X0,X1)) = k5_xboole_0(k5_xboole_0(X0,X1),k3_tarski(k2_tarski(X0,X1))),
inference(definition_unfolding,[],[f12833,f10579,f12734]) ).
fof(f14784,plain,
! [X0,X1] : k3_tarski(k2_tarski(X0,X1)) = k3_tarski(k2_tarski(k5_xboole_0(X0,X1),k4_xboole_0(X0,k4_xboole_0(X0,X1)))),
inference(definition_unfolding,[],[f12835,f12734,f12734,f10579]) ).
fof(f14785,plain,
! [X0] : k5_xboole_0(X0,X0) = np__0,
inference(definition_unfolding,[],[f12836,f13783]) ).
fof(f14786,plain,
! [X0] : k5_xboole_0(X0,np__0) = X0,
inference(definition_unfolding,[],[f12838,f13783]) ).
fof(f14787,plain,
! [X0,X1] : k5_xboole_0(X0,X1) = k3_tarski(k2_tarski(k4_xboole_0(X0,X1),k4_xboole_0(X1,X0))),
inference(definition_unfolding,[],[f12848,f12734]) ).
fof(f14788,plain,
! [X2,X3,X0,X1,X4] :
( v1_xboole_0(X0)
| ~ m1_subset_1(X2,X0)
| ~ m1_subset_1(X3,X0)
| ~ m1_subset_1(X4,X0)
| r1_tarski(k2_zfmisc_1(k2_enumset1(X2,X2,X3,X4),X1),k2_zfmisc_1(X0,X1)) ),
inference(definition_unfolding,[],[f12849,f12862]) ).
fof(f14789,plain,
! [X2,X0,X1] :
( ~ v1_xreal_0(X2)
| ~ v1_xreal_0(X1)
| ~ v1_xreal_0(X0)
| v1_membered(k2_enumset1(X0,X0,X1,X2)) ),
inference(definition_unfolding,[],[f12851,f12862]) ).
fof(f14790,plain,
! [X2,X0,X1] :
( ~ v1_xreal_0(X2)
| ~ v1_xreal_0(X1)
| ~ v1_xreal_0(X0)
| v2_membered(k2_enumset1(X0,X0,X1,X2)) ),
inference(definition_unfolding,[],[f12850,f12862]) ).
fof(f14791,plain,
! [X2,X0,X1] :
( ~ v1_xcmplx_0(X2)
| ~ v1_xcmplx_0(X1)
| ~ v1_xcmplx_0(X0)
| v1_membered(k2_enumset1(X0,X0,X1,X2)) ),
inference(definition_unfolding,[],[f12852,f12862]) ).
fof(f14792,plain,
! [X2,X0,X1] : r1_tarski(k2_tarski(X0,X1),k2_enumset1(X0,X0,X1,X2)),
inference(definition_unfolding,[],[f12853,f12862]) ).
fof(f14793,plain,
! [X2,X0,X1] : r1_tarski(k2_enumset1(X0,X0,X0,X0),k2_enumset1(X0,X0,X1,X2)),
inference(definition_unfolding,[],[f12854,f14051,f12862]) ).
fof(f14795,plain,
! [X2,X3,X0,X1] :
( ~ m1_subset_1(X1,X0)
| ~ m1_subset_1(X2,X0)
| ~ m1_subset_1(X3,X0)
| np__0 = X0
| m1_subset_1(k2_enumset1(X1,X1,X2,X3),k1_zfmisc_1(X0)) ),
inference(definition_unfolding,[],[f12856,f12862,f13783]) ).
fof(f14796,plain,
! [X2,X0,X1] : k2_enumset1(X0,X0,X1,X2) = k2_enumset1(X2,X2,X1,X0),
inference(definition_unfolding,[],[f12857,f12862,f12862]) ).
fof(f14797,plain,
! [X2,X0,X1] : k2_enumset1(X0,X0,X1,X2) = k2_enumset1(X1,X1,X2,X0),
inference(definition_unfolding,[],[f12858,f12862,f12862]) ).
fof(f14798,plain,
! [X2,X0,X1] : k2_enumset1(X0,X0,X1,X2) = k2_enumset1(X1,X1,X0,X2),
inference(definition_unfolding,[],[f12859,f12862,f12862]) ).
fof(f14800,plain,
! [X2,X3,X0,X1] : k2_enumset1(X0,X1,X2,X3) = k3_tarski(k2_tarski(k2_enumset1(X0,X0,X0,X0),k2_enumset1(X1,X1,X2,X3))),
inference(definition_unfolding,[],[f12865,f12734,f14051,f12862]) ).
fof(f14801,plain,
! [X2,X0,X1] : k2_enumset1(X0,X0,X1,X2) = k3_tarski(k2_tarski(k2_tarski(X0,X1),k2_enumset1(X2,X2,X2,X2))),
inference(definition_unfolding,[],[f12866,f12862,f12734,f14051]) ).
fof(f14803,plain,
! [X2,X3,X0,X1] :
( ~ r2_hidden(sK413(X0,X1,X2,X3),X3)
| sK413(X0,X1,X2,X3) != X0
| k2_enumset1(X0,X0,X1,X2) = X3 ),
inference(definition_unfolding,[],[f12875,f12862]) ).
fof(f14804,plain,
! [X2,X3,X0,X1] :
( ~ r2_hidden(sK413(X0,X1,X2,X3),X3)
| sK413(X0,X1,X2,X3) != X1
| k2_enumset1(X0,X0,X1,X2) = X3 ),
inference(definition_unfolding,[],[f12874,f12862]) ).
fof(f14805,plain,
! [X2,X3,X0,X1] :
( ~ r2_hidden(sK413(X0,X1,X2,X3),X3)
| sK413(X0,X1,X2,X3) != X2
| k2_enumset1(X0,X0,X1,X2) = X3 ),
inference(definition_unfolding,[],[f12873,f12862]) ).
fof(f14806,plain,
! [X2,X3,X0,X1] :
( r2_hidden(sK413(X0,X1,X2,X3),X3)
| sK413(X0,X1,X2,X3) = X2
| sK413(X0,X1,X2,X3) = X1
| sK413(X0,X1,X2,X3) = X0
| k2_enumset1(X0,X0,X1,X2) = X3 ),
inference(definition_unfolding,[],[f12872,f12862]) ).
fof(f14810,plain,
! [X2,X3,X0,X1,X5] :
( k2_enumset1(X0,X0,X1,X2) != X3
| ~ r2_hidden(X5,X3)
| X2 = X5
| X1 = X5
| X0 = X5 ),
inference(definition_unfolding,[],[f12868,f12862]) ).
fof(f14812,plain,
! [X2,X3,X0,X1,X4] :
( ~ v1_relat_1(X4)
| k2_tarski(k2_tarski(k2_tarski(X0,X1),k2_enumset1(X0,X0,X0,X0)),k2_tarski(k2_tarski(X2,X3),k2_enumset1(X2,X2,X2,X2))) != X4
| k2_tarski(X0,X2) = k1_relat_1(X4) ),
inference(definition_unfolding,[],[f12880,f14052,f14052]) ).
fof(f14813,plain,
! [X2,X3,X0,X1,X4] :
( ~ v1_relat_1(X4)
| k2_tarski(k2_tarski(k2_tarski(X0,X1),k2_enumset1(X0,X0,X0,X0)),k2_tarski(k2_tarski(X2,X3),k2_enumset1(X2,X2,X2,X2))) != X4
| k2_relat_1(X4) = k2_tarski(X1,X3) ),
inference(definition_unfolding,[],[f12879,f14052,f14052]) ).
fof(f14814,plain,
! [X2,X3,X0,X1] : v1_relat_1(k2_tarski(k2_tarski(k2_tarski(X0,X1),k2_enumset1(X0,X0,X0,X0)),k2_tarski(k2_tarski(X2,X3),k2_enumset1(X2,X2,X2,X2)))),
inference(definition_unfolding,[],[f12881,f14052,f14052]) ).
fof(f14815,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X1,X0)
| ~ m1_subset_1(X2,X0)
| np__0 = X0
| m1_subset_1(k2_tarski(X1,X2),k1_zfmisc_1(X0)) ),
inference(definition_unfolding,[],[f12882,f13783]) ).
fof(f14819,plain,
! [X2,X0,X1] :
( k2_enumset1(X1,X1,X1,X1) != X0
| k4_xboole_0(X0,k2_tarski(X1,X2)) = np__0 ),
inference(definition_unfolding,[],[f12889,f13783,f14051]) ).
fof(f14820,plain,
! [X2,X0,X1] :
( k2_enumset1(X2,X2,X2,X2) != X0
| k4_xboole_0(X0,k2_tarski(X1,X2)) = np__0 ),
inference(definition_unfolding,[],[f12888,f13783,f14051]) ).
fof(f14822,plain,
! [X2,X0,X1] :
( k4_xboole_0(X0,k2_tarski(X1,X2)) != np__0
| k2_tarski(X1,X2) = X0
| k2_enumset1(X2,X2,X2,X2) = X0
| k2_enumset1(X1,X1,X1,X1) = X0
| np__0 = X0 ),
inference(definition_unfolding,[],[f12886,f13783,f14051,f14051,f13783]) ).
fof(f14823,plain,
! [X2,X0,X1] :
( k2_tarski(X0,X1) = k4_xboole_0(k2_tarski(X0,X1),X2)
| k4_xboole_0(k2_tarski(X0,X1),X2) = k2_enumset1(X1,X1,X1,X1)
| k2_enumset1(X0,X0,X0,X0) = k4_xboole_0(k2_tarski(X0,X1),X2)
| k4_xboole_0(k2_tarski(X0,X1),X2) = np__0 ),
inference(definition_unfolding,[],[f12891,f13783,f14051,f14051]) ).
fof(f14824,plain,
! [X2,X0,X1] :
( ~ r2_hidden(X1,X2)
| ~ r2_hidden(X0,X2)
| k4_xboole_0(k2_tarski(X0,X1),X2) = np__0 ),
inference(definition_unfolding,[],[f12894,f13783]) ).
fof(f14825,plain,
! [X2,X0,X1] :
( k4_xboole_0(k2_tarski(X0,X1),X2) != np__0
| r2_hidden(X0,X2) ),
inference(definition_unfolding,[],[f12893,f13783]) ).
fof(f14826,plain,
! [X2,X0,X1] :
( k4_xboole_0(k2_tarski(X0,X1),X2) != np__0
| r2_hidden(X1,X2) ),
inference(definition_unfolding,[],[f12892,f13783]) ).
fof(f14827,plain,
! [X2,X0,X1] :
( ~ r2_hidden(X1,X2)
| r2_hidden(X0,X2)
| k2_enumset1(X0,X0,X0,X0) = k4_xboole_0(k2_tarski(X0,X1),X2) ),
inference(definition_unfolding,[],[f12901,f14051]) ).
fof(f14828,plain,
! [X2,X0,X1] :
( X0 != X1
| r2_hidden(X0,X2)
| k2_enumset1(X0,X0,X0,X0) = k4_xboole_0(k2_tarski(X0,X1),X2) ),
inference(definition_unfolding,[],[f12900,f14051]) ).
fof(f14829,plain,
! [X2,X0,X1] :
( k2_enumset1(X0,X0,X0,X0) != k4_xboole_0(k2_tarski(X0,X1),X2)
| ~ r2_hidden(X0,X2) ),
inference(definition_unfolding,[],[f12899,f14051]) ).
fof(f14830,plain,
! [X2,X0,X1] :
( k2_enumset1(X0,X0,X0,X0) != k4_xboole_0(k2_tarski(X0,X1),X2)
| X0 = X1
| r2_hidden(X1,X2) ),
inference(definition_unfolding,[],[f12898,f14051]) ).
fof(f14831,plain,
! [X2,X0,X1] :
( k2_tarski(X0,X1) != k4_xboole_0(k2_tarski(X0,X1),k4_xboole_0(k2_tarski(X0,X1),X2))
| r2_hidden(X0,X2) ),
inference(definition_unfolding,[],[f12902,f10579]) ).
fof(f14832,plain,
! [X2,X0,X1] :
( ~ r2_hidden(X0,X1)
| k2_enumset1(X0,X0,X0,X0) = k4_xboole_0(k2_tarski(X0,X2),k4_xboole_0(k2_tarski(X0,X2),X1))
| r2_hidden(X2,X1) ),
inference(definition_unfolding,[],[f12904,f14051,f10579]) ).
fof(f14833,plain,
! [X2,X0,X1] :
( ~ r2_hidden(X0,X1)
| k2_enumset1(X0,X0,X0,X0) = k4_xboole_0(k2_tarski(X0,X2),k4_xboole_0(k2_tarski(X0,X2),X1))
| X0 != X2 ),
inference(definition_unfolding,[],[f12903,f14051,f10579]) ).
fof(f14834,plain,
! [X2,X0,X1] :
( X0 = X1
| ~ r2_hidden(X1,X2)
| k2_enumset1(X0,X0,X0,X0) != k4_xboole_0(k2_tarski(X0,X1),k4_xboole_0(k2_tarski(X0,X1),X2)) ),
inference(definition_unfolding,[],[f12905,f14051,f10579]) ).
fof(f14835,plain,
! [X2,X0,X1] :
( ~ r2_hidden(X2,X1)
| ~ r2_hidden(X0,X1)
| k2_tarski(X0,X2) = k4_xboole_0(k2_tarski(X0,X2),k4_xboole_0(k2_tarski(X0,X2),X1)) ),
inference(definition_unfolding,[],[f12906,f10579]) ).
fof(f14836,plain,
! [X2,X0,X1] : np__0 != k3_tarski(k2_tarski(k2_tarski(X0,X1),X2)),
inference(definition_unfolding,[],[f12907,f13783,f12734]) ).
fof(f14837,plain,
! [X2,X0,X1] :
( ~ r2_hidden(X2,X1)
| ~ r2_hidden(X0,X1)
| k3_tarski(k2_tarski(k2_tarski(X0,X2),X1)) = X1 ),
inference(definition_unfolding,[],[f12908,f12734]) ).
fof(f14838,plain,
! [X2,X0,X1] :
( ~ r1_tarski(k3_tarski(k2_tarski(k2_tarski(X0,X1),X2)),X2)
| r2_hidden(X0,X2) ),
inference(definition_unfolding,[],[f12909,f12734]) ).
fof(f14840,plain,
! [X2,X0,X1] :
( k2_enumset1(X1,X1,X1,X1) != X0
| r1_tarski(X0,k2_tarski(X1,X2)) ),
inference(definition_unfolding,[],[f12913,f14051]) ).
fof(f14841,plain,
! [X2,X0,X1] :
( k2_enumset1(X2,X2,X2,X2) != X0
| r1_tarski(X0,k2_tarski(X1,X2)) ),
inference(definition_unfolding,[],[f12912,f14051]) ).
fof(f14842,plain,
! [X2,X0,X1] :
( ~ r1_tarski(X0,k2_tarski(X1,X2))
| k2_tarski(X1,X2) = X0
| k2_enumset1(X2,X2,X2,X2) = X0
| k2_enumset1(X1,X1,X1,X1) = X0
| np__0 = X0 ),
inference(definition_unfolding,[],[f12910,f13783,f14051,f14051]) ).
fof(f14843,plain,
! [X2,X0,X1] : k2_zfmisc_1(k2_enumset1(X0,X0,X0,X0),k2_tarski(X1,X2)) = k2_tarski(k2_tarski(k2_tarski(X0,X1),k2_enumset1(X0,X0,X0,X0)),k2_tarski(k2_tarski(X0,X2),k2_enumset1(X0,X0,X0,X0))),
inference(definition_unfolding,[],[f12919,f14051,f14052,f14052]) ).
fof(f14844,plain,
! [X2,X0,X1] : k2_zfmisc_1(k2_tarski(X0,X1),k2_enumset1(X2,X2,X2,X2)) = k2_tarski(k2_tarski(k2_tarski(X0,X2),k2_enumset1(X0,X0,X0,X0)),k2_tarski(k2_tarski(X1,X2),k2_enumset1(X1,X1,X1,X1))),
inference(definition_unfolding,[],[f12918,f14051,f14052,f14052]) ).
fof(f14845,plain,
! [X0] : k1_zfmisc_1(k2_enumset1(X0,X0,X0,X0)) = k2_tarski(np__0,k2_enumset1(X0,X0,X0,X0)),
inference(definition_unfolding,[],[f12920,f14051,f13783,f14051]) ).
fof(f14846,plain,
! [X2,X0,X1] :
( ~ r1_tarski(k2_tarski(X0,X1),k2_enumset1(X2,X2,X2,X2))
| k2_tarski(X0,X1) = k2_enumset1(X2,X2,X2,X2) ),
inference(definition_unfolding,[],[f12922,f14051,f14051]) ).
fof(f14847,plain,
! [X2,X0,X1] :
( ~ r1_tarski(k2_tarski(X0,X1),k2_enumset1(X2,X2,X2,X2))
| X0 = X2 ),
inference(definition_unfolding,[],[f12923,f14051]) ).
fof(f14849,plain,
! [X0,X1] :
( X0 = X1
| k2_enumset1(X0,X0,X0,X0) = k4_xboole_0(k2_tarski(X0,X1),k2_enumset1(X1,X1,X1,X1)) ),
inference(definition_unfolding,[],[f12925,f14051,f14051]) ).
fof(f14851,plain,
! [X0,X1] : k2_enumset1(X0,X0,X0,X0) = k4_xboole_0(k2_enumset1(X0,X0,X0,X0),k4_xboole_0(k2_enumset1(X0,X0,X0,X0),k2_tarski(X0,X1))),
inference(definition_unfolding,[],[f12927,f14051,f10579,f14051]) ).
fof(f14854,plain,
! [X2,X0,X1] :
( k2_tarski(X1,X2) != k2_enumset1(X0,X0,X0,X0)
| X1 = X2 ),
inference(definition_unfolding,[],[f12931,f14051]) ).
fof(f14855,plain,
! [X2,X0,X1] :
( k2_tarski(X1,X2) != k2_enumset1(X0,X0,X0,X0)
| X0 = X1 ),
inference(definition_unfolding,[],[f12932,f14051]) ).
fof(f14858,plain,
! [X0,X1] :
( ~ l1_struct_0(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| np__0 != k6_subset_1(u1_struct_0(X0),k2_pre_topc(X0),X1)
| k2_pre_topc(X0) = X1 ),
inference(definition_unfolding,[],[f12989,f13783]) ).
fof(f14859,plain,
! [X0,X1] :
( ~ l1_struct_0(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| k2_pre_topc(X0) != X1
| np__0 = k6_subset_1(u1_struct_0(X0),k2_pre_topc(X0),X1) ),
inference(definition_unfolding,[],[f12988,f13783]) ).
fof(f14860,plain,
! [X0] :
( np__0 != k1_card_1(X0)
| np__0 = X0 ),
inference(definition_unfolding,[],[f13036,f13783]) ).
fof(f14862,plain,
! [X2,X0,X1] :
( k2_enumset1(X2,X2,X2,X2) != X0
| k1_card_1(X0) = k1_card_1(k2_enumset1(X1,X1,X1,X1)) ),
inference(definition_unfolding,[],[f13040,f14051,f14051]) ).
fof(f14863,plain,
! [X0,X1] :
( k1_card_1(X0) != k1_card_1(k2_enumset1(X1,X1,X1,X1))
| k2_enumset1(sK426(X0),sK426(X0),sK426(X0),sK426(X0)) = X0 ),
inference(definition_unfolding,[],[f13039,f14051,f14051]) ).
fof(f14864,plain,
np__0 = k1_card_1(np__0),
inference(definition_unfolding,[],[f13041,f13783,f13783]) ).
fof(f14865,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X2,X0,X1)
| ~ v1_funct_2(X2,X0,X1)
| ~ v1_funct_1(X2)
| np__0 != X0
| sP26(X0,X2) ),
inference(definition_unfolding,[],[f13079,f13783]) ).
fof(f14866,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X2,X0,X1)
| ~ v1_funct_2(X2,X0,X1)
| ~ v1_funct_1(X2)
| np__0 = X1
| sP26(X0,X2) ),
inference(definition_unfolding,[],[f13078,f13783]) ).
fof(f14867,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X2,k2_enumset1(X0,X0,X0,X0),X1)
| ~ v1_funct_1(X2)
| v2_funct_1(X2) ),
inference(definition_unfolding,[],[f13080,f14051]) ).
fof(f14868,plain,
! [X0,X1] :
( ~ m2_relset_1(X1,X0,np__0)
| ~ v1_funct_1(X1)
| v2_funct_1(X1) ),
inference(definition_unfolding,[],[f13081,f13783]) ).
fof(f14869,plain,
! [X0,X1] :
( ~ m2_relset_1(X1,np__0,X0)
| ~ v1_funct_1(X1)
| v2_funct_1(X1) ),
inference(definition_unfolding,[],[f13082,f13783]) ).
fof(f14870,plain,
! [X2,X0] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ~ r1_tarski(k10_relat_1(X0,k2_enumset1(sK437(X0),sK437(X0),sK437(X0),sK437(X0))),k2_enumset1(X2,X2,X2,X2))
| v2_funct_1(X0) ),
inference(definition_unfolding,[],[f13088,f14051,f14051]) ).
fof(f14871,plain,
! [X3,X0] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ~ v2_funct_1(X0)
| r1_tarski(k10_relat_1(X0,k2_enumset1(X3,X3,X3,X3)),k2_enumset1(sK438(X0,X3),sK438(X0,X3),sK438(X0,X3),sK438(X0,X3))) ),
inference(definition_unfolding,[],[f13087,f14051,f14051]) ).
fof(f14872,plain,
! [X0,X1] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ~ v2_funct_1(X0)
| k10_relat_1(X0,k2_enumset1(X1,X1,X1,X1)) = k2_enumset1(sK440(X0,X1),sK440(X0,X1),sK440(X0,X1),sK440(X0,X1))
| ~ r2_hidden(X1,k2_relat_1(X0)) ),
inference(definition_unfolding,[],[f13094,f14051,f14051]) ).
fof(f14873,plain,
! [X0,X4] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| k2_enumset1(X4,X4,X4,X4) != k10_relat_1(X0,k2_enumset1(sK441(X0),sK441(X0),sK441(X0),sK441(X0)))
| v2_funct_1(X0) ),
inference(definition_unfolding,[],[f13092,f14051,f14051]) ).
fof(f14874,plain,
! [X0] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| k9_relat_1(X0,k4_xboole_0(sK444(X0),k4_xboole_0(sK444(X0),sK445(X0)))) != k4_xboole_0(k9_relat_1(X0,sK444(X0)),k4_xboole_0(k9_relat_1(X0,sK444(X0)),k9_relat_1(X0,sK445(X0))))
| v2_funct_1(X0) ),
inference(definition_unfolding,[],[f13097,f10579,f10579]) ).
fof(f14875,plain,
! [X2,X0,X1] :
( ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| ~ v2_funct_1(X2)
| k9_relat_1(X2,k4_xboole_0(X0,k4_xboole_0(X0,X1))) = k4_xboole_0(k9_relat_1(X2,X0),k4_xboole_0(k9_relat_1(X2,X0),k9_relat_1(X2,X1))) ),
inference(definition_unfolding,[],[f13098,f10579,f10579]) ).
fof(f14876,plain,
! [X0] :
( ~ l3_lattices(X0)
| v3_realset2(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| np__0 = k8_funct_2(u1_struct_0(X0),k1_zfmisc_1(k7_lopclset(X0)),k9_lopclset(X0),k5_lattices(X0)) ),
inference(definition_unfolding,[],[f13145,f13783]) ).
fof(f14877,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( v1_xboole_0(X0)
| v1_xboole_0(X1)
| ~ m2_relset_1(X3,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X3,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X3)
| ~ v3_binop_1(X3,X0)
| ~ v2_binop_1(X3,X0)
| ~ v1_binop_1(X3,X0)
| ~ m1_subset_1(X4,k5_finsub_1(X1))
| np__0 = X4
| ~ m2_relset_1(X5,X1,k5_finsub_1(X2))
| ~ v1_funct_2(X5,X1,k5_finsub_1(X2))
| ~ v1_funct_1(X5)
| ~ m2_relset_1(X6,k5_finsub_1(X2),X0)
| ~ v1_funct_2(X6,k5_finsub_1(X2),X0)
| ~ v1_funct_1(X6)
| k8_funct_2(k5_finsub_1(X2),X0,X6,k5_setwiseo(X2,sK468(X0,X2,X3,X6),sK469(X0,X2,X3,X6))) != k2_binop_1(X0,X0,X0,X3,k8_funct_2(k5_finsub_1(X2),X0,X6,sK468(X0,X2,X3,X6)),k8_funct_2(k5_finsub_1(X2),X0,X6,sK469(X0,X2,X3,X6)))
| k8_funct_2(k5_finsub_1(X2),X0,X6,k10_setwiseo(X1,X2,X4,X5)) = k7_setwiseo(X1,X0,X3,X4,k7_funct_2(X1,k5_finsub_1(X2),X0,X5,X6)) ),
inference(definition_unfolding,[],[f13248,f13783]) ).
fof(f14878,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( v1_xboole_0(X0)
| v1_xboole_0(X1)
| ~ m2_relset_1(X3,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X3,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X3)
| ~ v3_binop_1(X3,X0)
| ~ v2_binop_1(X3,X0)
| ~ v1_binop_1(X3,X0)
| ~ m1_subset_1(X4,k5_finsub_1(X1))
| np__0 = X4
| ~ m2_relset_1(X5,X1,k5_finsub_1(X2))
| ~ v1_funct_2(X5,X1,k5_finsub_1(X2))
| ~ v1_funct_1(X5)
| ~ m2_relset_1(X6,k5_finsub_1(X2),X0)
| ~ v1_funct_2(X6,k5_finsub_1(X2),X0)
| ~ v1_funct_1(X6)
| m1_subset_1(sK469(X0,X2,X3,X6),k5_finsub_1(X2))
| k8_funct_2(k5_finsub_1(X2),X0,X6,k10_setwiseo(X1,X2,X4,X5)) = k7_setwiseo(X1,X0,X3,X4,k7_funct_2(X1,k5_finsub_1(X2),X0,X5,X6)) ),
inference(definition_unfolding,[],[f13247,f13783]) ).
fof(f14879,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( v1_xboole_0(X0)
| v1_xboole_0(X1)
| ~ m2_relset_1(X3,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X3,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X3)
| ~ v3_binop_1(X3,X0)
| ~ v2_binop_1(X3,X0)
| ~ v1_binop_1(X3,X0)
| ~ m1_subset_1(X4,k5_finsub_1(X1))
| np__0 = X4
| ~ m2_relset_1(X5,X1,k5_finsub_1(X2))
| ~ v1_funct_2(X5,X1,k5_finsub_1(X2))
| ~ v1_funct_1(X5)
| ~ m2_relset_1(X6,k5_finsub_1(X2),X0)
| ~ v1_funct_2(X6,k5_finsub_1(X2),X0)
| ~ v1_funct_1(X6)
| m1_subset_1(sK468(X0,X2,X3,X6),k5_finsub_1(X2))
| k8_funct_2(k5_finsub_1(X2),X0,X6,k10_setwiseo(X1,X2,X4,X5)) = k7_setwiseo(X1,X0,X3,X4,k7_funct_2(X1,k5_finsub_1(X2),X0,X5,X6)) ),
inference(definition_unfolding,[],[f13246,f13783]) ).
fof(f14880,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,X0)
| v1_xboole_0(X0)
| k2_setwiseo(X0,X1) = k2_enumset1(X1,X1,X1,X1) ),
inference(definition_unfolding,[],[f13255,f14051]) ).
fof(f14881,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X2,k5_finsub_1(X0))
| ~ m1_subset_1(X1,k5_finsub_1(X0))
| k5_setwiseo(X0,X1,X2) = k3_tarski(k2_tarski(X1,X2)) ),
inference(definition_unfolding,[],[f13257,f12734]) ).
fof(f14883,plain,
! [X2,X3,X0,X1] :
( ~ m2_relset_1(X3,X0,X1)
| ~ v1_funct_2(X3,X0,X1)
| ~ v1_funct_1(X3)
| ~ r1_tarski(X2,X0)
| v1_funct_2(k2_partfun1(X0,X1,X3,X2),X2,X1)
| np__0 = X1 ),
inference(definition_unfolding,[],[f13301,f13783]) ).
fof(f14884,plain,
! [X2,X3,X0,X1] :
( ~ m2_relset_1(X3,X0,X1)
| ~ v1_funct_2(X3,X0,X1)
| ~ v1_funct_1(X3)
| ~ r1_tarski(X2,X0)
| m2_relset_1(k2_partfun1(X0,X1,X3,X2),X2,X1)
| np__0 = X1 ),
inference(definition_unfolding,[],[f13300,f13783]) ).
fof(f14885,plain,
! [X2,X3,X0,X1] :
( ~ m2_relset_1(X3,X0,X1)
| ~ v1_funct_2(X3,X0,X1)
| ~ v1_funct_1(X3)
| ~ r1_tarski(X2,X0)
| v1_funct_1(k2_partfun1(X0,X1,X3,X2))
| np__0 != X0 ),
inference(definition_unfolding,[],[f13299,f13783]) ).
fof(f14886,plain,
! [X2,X3,X0,X1] :
( ~ m2_relset_1(X3,X0,X1)
| ~ v1_funct_2(X3,X0,X1)
| ~ v1_funct_1(X3)
| ~ r1_tarski(X2,X0)
| v1_funct_2(k2_partfun1(X0,X1,X3,X2),X2,X1)
| np__0 != X0 ),
inference(definition_unfolding,[],[f13298,f13783]) ).
fof(f14887,plain,
! [X2,X3,X0,X1] :
( ~ m2_relset_1(X3,X0,X1)
| ~ v1_funct_2(X3,X0,X1)
| ~ v1_funct_1(X3)
| ~ r1_tarski(X2,X0)
| m2_relset_1(k2_partfun1(X0,X1,X3,X2),X2,X1)
| np__0 != X0 ),
inference(definition_unfolding,[],[f13297,f13783]) ).
fof(f14888,plain,
! [X2,X3,X0,X1] :
( ~ v1_funct_1(X3)
| ~ v1_relat_1(X3)
| k2_partfun1(X0,X1,k3_partfun1(X3,X0,X1),X2) = k3_partfun1(X3,k4_xboole_0(X0,k4_xboole_0(X0,X2)),X1) ),
inference(definition_unfolding,[],[f13306,f10579]) ).
fof(f14889,plain,
! [X2,X3,X0,X1,X4] :
( ~ m2_relset_1(X3,X0,X1)
| ~ v1_funct_2(X3,X0,X1)
| ~ v1_funct_1(X3)
| np__0 = X1
| ~ r2_hidden(k1_funct_1(X3,X4),X2)
| ~ r2_hidden(X4,X0)
| r2_hidden(X4,k10_relat_1(X3,X2)) ),
inference(definition_unfolding,[],[f13324,f13783]) ).
fof(f14890,plain,
! [X2,X3,X0,X1,X4] :
( ~ m2_relset_1(X3,X0,X1)
| ~ v1_funct_2(X3,X0,X1)
| ~ v1_funct_1(X3)
| np__0 = X1
| ~ r2_hidden(X4,k10_relat_1(X3,X2))
| r2_hidden(X4,X0) ),
inference(definition_unfolding,[],[f13323,f13783]) ).
fof(f14891,plain,
! [X2,X3,X0,X1,X4] :
( ~ m2_relset_1(X3,X0,X1)
| ~ v1_funct_2(X3,X0,X1)
| ~ v1_funct_1(X3)
| np__0 = X1
| ~ r2_hidden(X4,k10_relat_1(X3,X2))
| r2_hidden(k1_funct_1(X3,X4),X2) ),
inference(definition_unfolding,[],[f13322,f13783]) ).
fof(f14892,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X2,X0,np__0)
| ~ v1_funct_1(X2)
| k10_relat_1(X2,X1) = np__0 ),
inference(definition_unfolding,[],[f13325,f13783,f13783]) ).
fof(f14893,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X2,np__0,X0)
| ~ v1_funct_1(X2)
| k10_relat_1(X2,X1) = np__0 ),
inference(definition_unfolding,[],[f13326,f13783,f13783]) ).
fof(f14894,plain,
! [X2,X0,X1] :
( ~ v1_relat_1(X2)
| r1_tarski(k4_xboole_0(X0,k4_xboole_0(X0,k10_relat_1(X2,X1))),k10_relat_1(X2,k4_xboole_0(k9_relat_1(X2,X0),k4_xboole_0(k9_relat_1(X2,X0),X1)))) ),
inference(definition_unfolding,[],[f13329,f10579,f10579]) ).
fof(f14895,plain,
! [X2,X0,X1] :
( ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| k4_xboole_0(k9_relat_1(X2,X0),k4_xboole_0(k9_relat_1(X2,X0),X1)) = k9_relat_1(X2,k4_xboole_0(X0,k4_xboole_0(X0,k10_relat_1(X2,X1)))) ),
inference(definition_unfolding,[],[f13330,f10579,f10579]) ).
fof(f14896,plain,
! [X2,X0,X1] :
( ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| r1_tarski(k9_relat_1(X2,k4_xboole_0(X0,k4_xboole_0(X0,k10_relat_1(X2,X1)))),k4_xboole_0(k9_relat_1(X2,X0),k4_xboole_0(k9_relat_1(X2,X0),X1))) ),
inference(definition_unfolding,[],[f13331,f10579,f10579]) ).
fof(f14897,plain,
! [X0,X1] :
( ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| k9_relat_1(X1,k10_relat_1(X1,X0)) = k4_xboole_0(X0,k4_xboole_0(X0,k9_relat_1(X1,k1_relat_1(X1)))) ),
inference(definition_unfolding,[],[f13332,f10579]) ).
fof(f14898,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| np__0 = k10_relat_1(X1,k2_enumset1(sK481(X0,X1),sK481(X0,X1),sK481(X0,X1),sK481(X0,X1)))
| r1_tarski(X0,k2_relat_1(X1)) ),
inference(definition_unfolding,[],[f13336,f13783,f14051]) ).
fof(f14899,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| np__0 = k10_relat_1(X1,k2_enumset1(X0,X0,X0,X0))
| r2_hidden(X0,k2_relat_1(X1)) ),
inference(definition_unfolding,[],[f13339,f13783,f14051]) ).
fof(f14900,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| ~ r2_hidden(X0,k2_relat_1(X1))
| np__0 != k10_relat_1(X1,k2_enumset1(X0,X0,X0,X0)) ),
inference(definition_unfolding,[],[f13338,f13783,f14051]) ).
fof(f14901,plain,
! [X2,X0,X1] :
( ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| k10_relat_1(X2,k4_xboole_0(X0,k4_xboole_0(X0,X1))) = k4_xboole_0(k10_relat_1(X2,X0),k4_xboole_0(k10_relat_1(X2,X0),k10_relat_1(X2,X1))) ),
inference(definition_unfolding,[],[f13341,f10579,f10579]) ).
fof(f14902,plain,
! [X2,X0,X1] :
( ~ v1_relat_1(X2)
| r1_tarski(k10_relat_1(X2,k4_xboole_0(X0,k4_xboole_0(X0,X1))),k4_xboole_0(k10_relat_1(X2,X0),k4_xboole_0(k10_relat_1(X2,X0),k10_relat_1(X2,X1)))) ),
inference(definition_unfolding,[],[f13352,f10579,f10579]) ).
fof(f14903,plain,
! [X2,X0,X1] :
( ~ v1_relat_1(X2)
| k10_relat_1(X2,k3_tarski(k2_tarski(X0,X1))) = k3_tarski(k2_tarski(k10_relat_1(X2,X0),k10_relat_1(X2,X1))) ),
inference(definition_unfolding,[],[f13353,f12734,f12734]) ).
fof(f14904,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| k10_relat_1(X1,X0) != np__0
| ~ r1_tarski(X0,k2_relat_1(X1))
| np__0 = X0 ),
inference(definition_unfolding,[],[f13354,f13783,f13783]) ).
fof(f14905,plain,
! [X0] : np__0 = k10_relat_1(np__0,X0),
inference(definition_unfolding,[],[f13355,f13783,f13783]) ).
fof(f14906,plain,
! [X0] :
( ~ v1_relat_1(X0)
| np__0 = k10_relat_1(X0,np__0) ),
inference(definition_unfolding,[],[f13356,f13783,f13783]) ).
fof(f14907,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| k10_relat_1(X1,X0) = k10_relat_1(X1,k4_xboole_0(k2_relat_1(X1),k4_xboole_0(k2_relat_1(X1),X0))) ),
inference(definition_unfolding,[],[f13359,f10579]) ).
fof(f14908,plain,
! [X2,X3,X0,X1] :
( ~ v1_relat_1(X2)
| ~ r2_hidden(X3,X1)
| ~ r2_hidden(k2_tarski(k2_tarski(X0,X3),k2_enumset1(X0,X0,X0,X0)),X2)
| ~ r2_hidden(X3,k2_relat_1(X2))
| r2_hidden(X0,k10_relat_1(X2,X1)) ),
inference(definition_unfolding,[],[f13364,f14052]) ).
fof(f14909,plain,
! [X2,X0,X1] :
( ~ v1_relat_1(X2)
| ~ r2_hidden(X0,k10_relat_1(X2,X1))
| r2_hidden(k2_tarski(k2_tarski(X0,sK483(X0,X1,X2)),k2_enumset1(X0,X0,X0,X0)),X2) ),
inference(definition_unfolding,[],[f13362,f14052]) ).
fof(f14910,plain,
! [X2,X0,X1,X4] :
( ~ v1_relat_1(X0)
| ~ r2_hidden(sK484(X0,X1,X2),X2)
| ~ r2_hidden(X4,X1)
| ~ r2_hidden(k2_tarski(k2_tarski(sK484(X0,X1,X2),X4),k2_enumset1(sK484(X0,X1,X2),sK484(X0,X1,X2),sK484(X0,X1,X2),sK484(X0,X1,X2))),X0)
| k10_relat_1(X0,X1) = X2 ),
inference(definition_unfolding,[],[f13370,f14052]) ).
fof(f14911,plain,
! [X2,X0,X1] :
( ~ v1_relat_1(X0)
| r2_hidden(sK484(X0,X1,X2),X2)
| r2_hidden(k2_tarski(k2_tarski(sK484(X0,X1,X2),sK485(X0,X1,X2)),k2_enumset1(sK484(X0,X1,X2),sK484(X0,X1,X2),sK484(X0,X1,X2),sK484(X0,X1,X2))),X0)
| k10_relat_1(X0,X1) = X2 ),
inference(definition_unfolding,[],[f13369,f14052]) ).
fof(f14912,plain,
! [X2,X0,X1,X6,X7] :
( ~ v1_relat_1(X0)
| k10_relat_1(X0,X1) != X2
| ~ r2_hidden(X7,X1)
| ~ r2_hidden(k2_tarski(k2_tarski(X6,X7),k2_enumset1(X6,X6,X6,X6)),X0)
| r2_hidden(X6,X2) ),
inference(definition_unfolding,[],[f13367,f14052]) ).
fof(f14913,plain,
! [X2,X0,X1,X6] :
( ~ v1_relat_1(X0)
| k10_relat_1(X0,X1) != X2
| ~ r2_hidden(X6,X2)
| r2_hidden(k2_tarski(k2_tarski(X6,sK486(X0,X1,X6)),k2_enumset1(X6,X6,X6,X6)),X0) ),
inference(definition_unfolding,[],[f13366,f14052]) ).
fof(f14914,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ m2_relset_1(X3,X0,X1)
| ~ v1_funct_2(X3,X0,X1)
| ~ v1_funct_1(X3)
| np__0 = X1
| k1_funct_1(X3,X5) != X4
| ~ r2_hidden(X5,X2)
| ~ r2_hidden(X5,X0)
| r2_hidden(X4,k9_relat_1(X3,X2)) ),
inference(definition_unfolding,[],[f13374,f13783]) ).
fof(f14915,plain,
! [X2,X3,X0,X1] :
( ~ m2_relset_1(X3,k2_enumset1(X0,X0,X0,X0),X1)
| ~ v1_funct_1(X3)
| r1_tarski(k9_relat_1(X3,X2),k2_enumset1(k1_funct_1(X3,X0),k1_funct_1(X3,X0),k1_funct_1(X3,X0),k1_funct_1(X3,X0))) ),
inference(definition_unfolding,[],[f13375,f14051,f14051]) ).
fof(f14916,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X2,X0,np__0)
| ~ v1_funct_1(X2)
| k9_relat_1(X2,X1) = np__0 ),
inference(definition_unfolding,[],[f13376,f13783,f13783]) ).
fof(f14917,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X2,np__0,X0)
| ~ v1_funct_1(X2)
| k9_relat_1(X2,X1) = np__0 ),
inference(definition_unfolding,[],[f13377,f13783,f13783]) ).
fof(f14918,plain,
! [X0,X1] :
( ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ~ r2_hidden(X0,k1_relat_1(X1))
| k2_enumset1(k1_funct_1(X1,X0),k1_funct_1(X1,X0),k1_funct_1(X1,X0),k1_funct_1(X1,X0)) = k9_relat_1(X1,k2_enumset1(X0,X0,X0,X0)) ),
inference(definition_unfolding,[],[f13379,f14051,f14051]) ).
fof(f14919,plain,
! [X2,X0,X1] :
( ~ v1_relat_1(X2)
| r1_tarski(k9_relat_1(X2,k4_xboole_0(X0,k4_xboole_0(X0,X1))),k4_xboole_0(k9_relat_1(X2,X0),k4_xboole_0(k9_relat_1(X2,X0),k9_relat_1(X2,X1)))) ),
inference(definition_unfolding,[],[f13392,f10579,f10579]) ).
fof(f14920,plain,
! [X2,X0,X1] :
( ~ v1_relat_1(X2)
| k9_relat_1(X2,k3_tarski(k2_tarski(X0,X1))) = k3_tarski(k2_tarski(k9_relat_1(X2,X0),k9_relat_1(X2,X1))) ),
inference(definition_unfolding,[],[f13393,f12734,f12734]) ).
fof(f14921,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| k9_relat_1(X1,X0) != np__0
| ~ r1_tarski(X0,k1_relat_1(X1))
| np__0 = X0 ),
inference(definition_unfolding,[],[f13394,f13783,f13783]) ).
fof(f14922,plain,
! [X0] : np__0 = k9_relat_1(np__0,X0),
inference(definition_unfolding,[],[f13395,f13783,f13783]) ).
fof(f14923,plain,
! [X0] :
( ~ v1_relat_1(X0)
| np__0 = k9_relat_1(X0,np__0) ),
inference(definition_unfolding,[],[f13396,f13783,f13783]) ).
fof(f14924,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| k9_relat_1(X1,X0) = k9_relat_1(X1,k4_xboole_0(k1_relat_1(X1),k4_xboole_0(k1_relat_1(X1),X0))) ),
inference(definition_unfolding,[],[f13399,f10579]) ).
fof(f14925,plain,
! [X2,X3,X0,X1] :
( ~ v1_relat_1(X2)
| ~ r2_hidden(X3,X1)
| ~ r2_hidden(k2_tarski(k2_tarski(X3,X0),k2_enumset1(X3,X3,X3,X3)),X2)
| ~ r2_hidden(X3,k1_relat_1(X2))
| r2_hidden(X0,k9_relat_1(X2,X1)) ),
inference(definition_unfolding,[],[f13404,f14052]) ).
fof(f14926,plain,
! [X2,X0,X1] :
( ~ v1_relat_1(X2)
| ~ r2_hidden(X0,k9_relat_1(X2,X1))
| r2_hidden(k2_tarski(k2_tarski(sK490(X0,X1,X2),X0),k2_enumset1(sK490(X0,X1,X2),sK490(X0,X1,X2),sK490(X0,X1,X2),sK490(X0,X1,X2))),X2) ),
inference(definition_unfolding,[],[f13402,f14052]) ).
fof(f14927,plain,
! [X2,X0,X1,X4] :
( ~ v1_relat_1(X0)
| ~ r2_hidden(sK491(X0,X1,X2),X2)
| ~ r2_hidden(X4,X1)
| ~ r2_hidden(k2_tarski(k2_tarski(X4,sK491(X0,X1,X2)),k2_enumset1(X4,X4,X4,X4)),X0)
| k9_relat_1(X0,X1) = X2 ),
inference(definition_unfolding,[],[f13410,f14052]) ).
fof(f14928,plain,
! [X2,X0,X1] :
( ~ v1_relat_1(X0)
| r2_hidden(sK491(X0,X1,X2),X2)
| r2_hidden(k2_tarski(k2_tarski(sK492(X0,X1,X2),sK491(X0,X1,X2)),k2_enumset1(sK492(X0,X1,X2),sK492(X0,X1,X2),sK492(X0,X1,X2),sK492(X0,X1,X2))),X0)
| k9_relat_1(X0,X1) = X2 ),
inference(definition_unfolding,[],[f13409,f14052]) ).
fof(f14929,plain,
! [X2,X0,X1,X6,X7] :
( ~ v1_relat_1(X0)
| k9_relat_1(X0,X1) != X2
| ~ r2_hidden(X7,X1)
| ~ r2_hidden(k2_tarski(k2_tarski(X7,X6),k2_enumset1(X7,X7,X7,X7)),X0)
| r2_hidden(X6,X2) ),
inference(definition_unfolding,[],[f13407,f14052]) ).
fof(f14930,plain,
! [X2,X0,X1,X6] :
( ~ v1_relat_1(X0)
| k9_relat_1(X0,X1) != X2
| ~ r2_hidden(X6,X2)
| r2_hidden(k2_tarski(k2_tarski(sK493(X0,X1,X6),X6),k2_enumset1(sK493(X0,X1,X6),sK493(X0,X1,X6),sK493(X0,X1,X6),sK493(X0,X1,X6))),X0) ),
inference(definition_unfolding,[],[f13406,f14052]) ).
fof(f14931,plain,
! [X2,X3,X0,X1] :
( v1_xboole_0(X0)
| v1_xboole_0(X1)
| ~ m2_relset_1(X2,X1,X0)
| ~ v1_funct_2(X2,X1,X0)
| ~ v1_funct_1(X2)
| ~ m1_subset_1(X3,k5_finsub_1(X1))
| np__0 != k2_funct_2(X1,X0,X2,X3)
| np__0 = X3 ),
inference(definition_unfolding,[],[f13411,f13783,f13783]) ).
fof(f14932,plain,
! [X2,X3,X0,X1] :
( v1_xboole_0(X0)
| v1_xboole_0(X1)
| ~ m2_relset_1(X2,X1,X0)
| ~ v1_funct_2(X2,X1,X0)
| ~ v1_funct_1(X2)
| ~ m1_subset_1(X3,X1)
| k2_enumset1(k8_funct_2(X1,X0,X2,X3),k8_funct_2(X1,X0,X2,X3),k8_funct_2(X1,X0,X2,X3),k8_funct_2(X1,X0,X2,X3)) = k2_funct_2(X1,X0,X2,k2_enumset1(X3,X3,X3,X3)) ),
inference(definition_unfolding,[],[f13415,f14051,f14051]) ).
fof(f14933,plain,
! [X2,X3,X0,X1] :
( ~ m2_relset_1(X3,k2_enumset1(X0,X0,X0,X0),X1)
| ~ v1_funct_2(X3,k2_enumset1(X0,X0,X0,X0),X1)
| ~ v1_funct_1(X3)
| np__0 = X1
| r1_tarski(k2_funct_2(k2_enumset1(X0,X0,X0,X0),X1,X3,X2),k2_enumset1(k1_funct_1(X3,X0),k1_funct_1(X3,X0),k1_funct_1(X3,X0),k1_funct_1(X3,X0))) ),
inference(definition_unfolding,[],[f13426,f14051,f14051,f13783,f14051,f14051]) ).
fof(f14934,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X2,np__0,X0)
| ~ v1_funct_2(X2,np__0,X0)
| ~ v1_funct_1(X2)
| np__0 = k2_funct_2(np__0,X0,X2,X1) ),
inference(definition_unfolding,[],[f13427,f13783,f13783,f13783,f13783]) ).
fof(f14935,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X2,X0,X1)
| ~ v1_funct_2(X2,X0,X1)
| ~ v1_funct_1(X2)
| np__0 != X0
| k2_relat_1(X2) = k2_funct_2(X0,X1,X2,X0) ),
inference(definition_unfolding,[],[f13429,f13783]) ).
fof(f14936,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X2,X0,X1)
| ~ v1_funct_2(X2,X0,X1)
| ~ v1_funct_1(X2)
| np__0 = X1
| k2_relat_1(X2) = k2_funct_2(X0,X1,X2,X0) ),
inference(definition_unfolding,[],[f13428,f13783]) ).
fof(f14938,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ m2_relset_1(X6,k2_zfmisc_1(X0,X1),X2)
| ~ v1_funct_2(X6,k2_zfmisc_1(X0,X1),X2)
| ~ v1_funct_1(X6)
| ~ m2_relset_1(X7,k2_zfmisc_1(X3,X4),X5)
| ~ v1_funct_2(X7,k2_zfmisc_1(X3,X4),X5)
| ~ v1_funct_1(X7)
| v1_funct_2(k3_funct_4(X6,X7),k2_zfmisc_1(k2_zfmisc_1(X0,X3),k2_zfmisc_1(X1,X4)),k2_zfmisc_1(X2,X5))
| np__0 = X5
| np__0 = X2 ),
inference(definition_unfolding,[],[f13436,f13783,f13783]) ).
fof(f14940,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ v1_funct_1(X4)
| ~ v1_relat_1(X4)
| ~ v1_funct_1(X5)
| ~ v1_relat_1(X5)
| ~ r2_hidden(k2_tarski(k2_tarski(k2_tarski(k2_tarski(X0,X1),k2_enumset1(X0,X0,X0,X0)),k2_tarski(k2_tarski(X2,X3),k2_enumset1(X2,X2,X2,X2))),k2_enumset1(k2_tarski(k2_tarski(X0,X1),k2_enumset1(X0,X0,X0,X0)),k2_tarski(k2_tarski(X0,X1),k2_enumset1(X0,X0,X0,X0)),k2_tarski(k2_tarski(X0,X1),k2_enumset1(X0,X0,X0,X0)),k2_tarski(k2_tarski(X0,X1),k2_enumset1(X0,X0,X0,X0)))),k1_relat_1(k3_funct_4(X4,X5)))
| k1_funct_1(k3_funct_4(X4,X5),k2_tarski(k2_tarski(k2_tarski(k2_tarski(X0,X1),k2_enumset1(X0,X0,X0,X0)),k2_tarski(k2_tarski(X2,X3),k2_enumset1(X2,X2,X2,X2))),k2_enumset1(k2_tarski(k2_tarski(X0,X1),k2_enumset1(X0,X0,X0,X0)),k2_tarski(k2_tarski(X0,X1),k2_enumset1(X0,X0,X0,X0)),k2_tarski(k2_tarski(X0,X1),k2_enumset1(X0,X0,X0,X0)),k2_tarski(k2_tarski(X0,X1),k2_enumset1(X0,X0,X0,X0))))) = k2_tarski(k2_tarski(k1_funct_1(X4,k2_tarski(k2_tarski(X0,X2),k2_enumset1(X0,X0,X0,X0))),k1_funct_1(X5,k2_tarski(k2_tarski(X1,X3),k2_enumset1(X1,X1,X1,X1)))),k2_enumset1(k1_funct_1(X4,k2_tarski(k2_tarski(X0,X2),k2_enumset1(X0,X0,X0,X0))),k1_funct_1(X4,k2_tarski(k2_tarski(X0,X2),k2_enumset1(X0,X0,X0,X0))),k1_funct_1(X4,k2_tarski(k2_tarski(X0,X2),k2_enumset1(X0,X0,X0,X0))),k1_funct_1(X4,k2_tarski(k2_tarski(X0,X2),k2_enumset1(X0,X0,X0,X0))))) ),
inference(definition_unfolding,[],[f13443,f14052,f14052,f14052,f14052,f14052,f14052,f14052,f14052,f14052]) ).
fof(f14941,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ v1_funct_1(X4)
| ~ v1_relat_1(X4)
| ~ v1_funct_1(X5)
| ~ v1_relat_1(X5)
| ~ r2_hidden(k2_tarski(k2_tarski(X1,X3),k2_enumset1(X1,X1,X1,X1)),k1_relat_1(X5))
| ~ r2_hidden(k2_tarski(k2_tarski(X0,X2),k2_enumset1(X0,X0,X0,X0)),k1_relat_1(X4))
| r2_hidden(k2_tarski(k2_tarski(k2_tarski(k2_tarski(X0,X1),k2_enumset1(X0,X0,X0,X0)),k2_tarski(k2_tarski(X2,X3),k2_enumset1(X2,X2,X2,X2))),k2_enumset1(k2_tarski(k2_tarski(X0,X1),k2_enumset1(X0,X0,X0,X0)),k2_tarski(k2_tarski(X0,X1),k2_enumset1(X0,X0,X0,X0)),k2_tarski(k2_tarski(X0,X1),k2_enumset1(X0,X0,X0,X0)),k2_tarski(k2_tarski(X0,X1),k2_enumset1(X0,X0,X0,X0)))),k1_relat_1(k3_funct_4(X4,X5))) ),
inference(definition_unfolding,[],[f13446,f14052,f14052,f14052,f14052,f14052]) ).
fof(f14942,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ v1_funct_1(X4)
| ~ v1_relat_1(X4)
| ~ v1_funct_1(X5)
| ~ v1_relat_1(X5)
| ~ r2_hidden(k2_tarski(k2_tarski(k2_tarski(k2_tarski(X0,X1),k2_enumset1(X0,X0,X0,X0)),k2_tarski(k2_tarski(X2,X3),k2_enumset1(X2,X2,X2,X2))),k2_enumset1(k2_tarski(k2_tarski(X0,X1),k2_enumset1(X0,X0,X0,X0)),k2_tarski(k2_tarski(X0,X1),k2_enumset1(X0,X0,X0,X0)),k2_tarski(k2_tarski(X0,X1),k2_enumset1(X0,X0,X0,X0)),k2_tarski(k2_tarski(X0,X1),k2_enumset1(X0,X0,X0,X0)))),k1_relat_1(k3_funct_4(X4,X5)))
| r2_hidden(k2_tarski(k2_tarski(X0,X2),k2_enumset1(X0,X0,X0,X0)),k1_relat_1(X4)) ),
inference(definition_unfolding,[],[f13445,f14052,f14052,f14052,f14052]) ).
fof(f14943,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ v1_funct_1(X4)
| ~ v1_relat_1(X4)
| ~ v1_funct_1(X5)
| ~ v1_relat_1(X5)
| ~ r2_hidden(k2_tarski(k2_tarski(k2_tarski(k2_tarski(X0,X1),k2_enumset1(X0,X0,X0,X0)),k2_tarski(k2_tarski(X2,X3),k2_enumset1(X2,X2,X2,X2))),k2_enumset1(k2_tarski(k2_tarski(X0,X1),k2_enumset1(X0,X0,X0,X0)),k2_tarski(k2_tarski(X0,X1),k2_enumset1(X0,X0,X0,X0)),k2_tarski(k2_tarski(X0,X1),k2_enumset1(X0,X0,X0,X0)),k2_tarski(k2_tarski(X0,X1),k2_enumset1(X0,X0,X0,X0)))),k1_relat_1(k3_funct_4(X4,X5)))
| r2_hidden(k2_tarski(k2_tarski(X1,X3),k2_enumset1(X1,X1,X1,X1)),k1_relat_1(X5)) ),
inference(definition_unfolding,[],[f13444,f14052,f14052,f14052,f14052]) ).
fof(f14952,plain,
! [X2,X0,X1] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| k1_funct_1(X2,k2_tarski(k2_tarski(k2_tarski(k2_tarski(sK506(X0,X1,X2),sK508(X0,X1,X2)),k2_enumset1(sK506(X0,X1,X2),sK506(X0,X1,X2),sK506(X0,X1,X2),sK506(X0,X1,X2))),k2_tarski(k2_tarski(sK507(X0,X1,X2),sK509(X0,X1,X2)),k2_enumset1(sK507(X0,X1,X2),sK507(X0,X1,X2),sK507(X0,X1,X2),sK507(X0,X1,X2)))),k2_enumset1(k2_tarski(k2_tarski(sK506(X0,X1,X2),sK508(X0,X1,X2)),k2_enumset1(sK506(X0,X1,X2),sK506(X0,X1,X2),sK506(X0,X1,X2),sK506(X0,X1,X2))),k2_tarski(k2_tarski(sK506(X0,X1,X2),sK508(X0,X1,X2)),k2_enumset1(sK506(X0,X1,X2),sK506(X0,X1,X2),sK506(X0,X1,X2),sK506(X0,X1,X2))),k2_tarski(k2_tarski(sK506(X0,X1,X2),sK508(X0,X1,X2)),k2_enumset1(sK506(X0,X1,X2),sK506(X0,X1,X2),sK506(X0,X1,X2),sK506(X0,X1,X2))),k2_tarski(k2_tarski(sK506(X0,X1,X2),sK508(X0,X1,X2)),k2_enumset1(sK506(X0,X1,X2),sK506(X0,X1,X2),sK506(X0,X1,X2),sK506(X0,X1,X2)))))) != k2_tarski(k2_tarski(k1_funct_1(X0,k2_tarski(k2_tarski(sK506(X0,X1,X2),sK507(X0,X1,X2)),k2_enumset1(sK506(X0,X1,X2),sK506(X0,X1,X2),sK506(X0,X1,X2),sK506(X0,X1,X2)))),k1_funct_1(X1,k2_tarski(k2_tarski(sK508(X0,X1,X2),sK509(X0,X1,X2)),k2_enumset1(sK508(X0,X1,X2),sK508(X0,X1,X2),sK508(X0,X1,X2),sK508(X0,X1,X2))))),k2_enumset1(k1_funct_1(X0,k2_tarski(k2_tarski(sK506(X0,X1,X2),sK507(X0,X1,X2)),k2_enumset1(sK506(X0,X1,X2),sK506(X0,X1,X2),sK506(X0,X1,X2),sK506(X0,X1,X2)))),k1_funct_1(X0,k2_tarski(k2_tarski(sK506(X0,X1,X2),sK507(X0,X1,X2)),k2_enumset1(sK506(X0,X1,X2),sK506(X0,X1,X2),sK506(X0,X1,X2),sK506(X0,X1,X2)))),k1_funct_1(X0,k2_tarski(k2_tarski(sK506(X0,X1,X2),sK507(X0,X1,X2)),k2_enumset1(sK506(X0,X1,X2),sK506(X0,X1,X2),sK506(X0,X1,X2),sK506(X0,X1,X2)))),k1_funct_1(X0,k2_tarski(k2_tarski(sK506(X0,X1,X2),sK507(X0,X1,X2)),k2_enumset1(sK506(X0,X1,X2),sK506(X0,X1,X2),sK506(X0,X1,X2),sK506(X0,X1,X2))))))
| ~ sP28(X0,X1,X2)
| k3_funct_4(X0,X1) = X2 ),
inference(definition_unfolding,[],[f13459,f14052,f14052,f14052,f14052,f14052,f14052]) ).
fof(f14953,plain,
! [X2,X0,X1] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| r2_hidden(k2_tarski(k2_tarski(sK506(X0,X1,X2),sK507(X0,X1,X2)),k2_enumset1(sK506(X0,X1,X2),sK506(X0,X1,X2),sK506(X0,X1,X2),sK506(X0,X1,X2))),k1_relat_1(X0))
| ~ sP28(X0,X1,X2)
| k3_funct_4(X0,X1) = X2 ),
inference(definition_unfolding,[],[f13458,f14052]) ).
fof(f14954,plain,
! [X2,X0,X1] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| r2_hidden(k2_tarski(k2_tarski(sK508(X0,X1,X2),sK509(X0,X1,X2)),k2_enumset1(sK508(X0,X1,X2),sK508(X0,X1,X2),sK508(X0,X1,X2),sK508(X0,X1,X2))),k1_relat_1(X1))
| ~ sP28(X0,X1,X2)
| k3_funct_4(X0,X1) = X2 ),
inference(definition_unfolding,[],[f13457,f14052]) ).
fof(f14955,plain,
! [X2,X10,X0,X1,X8,X9,X7] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| k3_funct_4(X0,X1) != X2
| ~ r2_hidden(k2_tarski(k2_tarski(X9,X10),k2_enumset1(X9,X9,X9,X9)),k1_relat_1(X1))
| ~ r2_hidden(k2_tarski(k2_tarski(X7,X8),k2_enumset1(X7,X7,X7,X7)),k1_relat_1(X0))
| k1_funct_1(X2,k2_tarski(k2_tarski(k2_tarski(k2_tarski(X7,X9),k2_enumset1(X7,X7,X7,X7)),k2_tarski(k2_tarski(X8,X10),k2_enumset1(X8,X8,X8,X8))),k2_enumset1(k2_tarski(k2_tarski(X7,X9),k2_enumset1(X7,X7,X7,X7)),k2_tarski(k2_tarski(X7,X9),k2_enumset1(X7,X7,X7,X7)),k2_tarski(k2_tarski(X7,X9),k2_enumset1(X7,X7,X7,X7)),k2_tarski(k2_tarski(X7,X9),k2_enumset1(X7,X7,X7,X7))))) = k2_tarski(k2_tarski(k1_funct_1(X0,k2_tarski(k2_tarski(X7,X8),k2_enumset1(X7,X7,X7,X7))),k1_funct_1(X1,k2_tarski(k2_tarski(X9,X10),k2_enumset1(X9,X9,X9,X9)))),k2_enumset1(k1_funct_1(X0,k2_tarski(k2_tarski(X7,X8),k2_enumset1(X7,X7,X7,X7))),k1_funct_1(X0,k2_tarski(k2_tarski(X7,X8),k2_enumset1(X7,X7,X7,X7))),k1_funct_1(X0,k2_tarski(k2_tarski(X7,X8),k2_enumset1(X7,X7,X7,X7))),k1_funct_1(X0,k2_tarski(k2_tarski(X7,X8),k2_enumset1(X7,X7,X7,X7))))) ),
inference(definition_unfolding,[],[f13455,f14052,f14052,f14052,f14052,f14052,f14052,f14052,f14052]) ).
fof(f14956,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v13_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| k5_lattices(X0) = k1_lattice4(X0,np__0) ),
inference(definition_unfolding,[],[f13474,f14053]) ).
fof(f14957,plain,
v1_xboole_0(np__0),
inference(definition_unfolding,[],[f13476,f14053]) ).
fof(f14958,plain,
! [X0] : m1_subset_1(np__0,k5_finsub_1(X0)),
inference(definition_unfolding,[],[f13475,f14053]) ).
fof(f14959,plain,
! [X2,X3,X0,X1,X4,X5] :
( v1_xboole_0(X0)
| ~ m2_relset_1(X3,X0,k5_finsub_1(X1))
| ~ v1_funct_2(X3,X0,k5_finsub_1(X1))
| ~ v1_funct_1(X3)
| ~ m2_relset_1(X4,k5_finsub_1(X1),k5_finsub_1(X2))
| ~ v1_funct_2(X4,k5_finsub_1(X1),k5_finsub_1(X2))
| ~ v1_funct_1(X4)
| k8_funct_2(k5_finsub_1(X1),k5_finsub_1(X2),X4,k5_setwiseo(X1,sK514(X1,X2,X4),sK515(X1,X2,X4))) != k5_setwiseo(X2,k8_funct_2(k5_finsub_1(X1),k5_finsub_1(X2),X4,sK514(X1,X2,X4)),k8_funct_2(k5_finsub_1(X1),k5_finsub_1(X2),X4,sK515(X1,X2,X4)))
| np__0 != k8_funct_2(k5_finsub_1(X1),k5_finsub_1(X2),X4,np__0)
| ~ m1_subset_1(X5,k5_finsub_1(X0))
| k8_funct_2(k5_finsub_1(X1),k5_finsub_1(X2),X4,k10_setwiseo(X0,X1,X5,X3)) = k10_setwiseo(X0,X2,X5,k7_funct_2(X0,k5_finsub_1(X1),k5_finsub_1(X2),X3,X4)) ),
inference(definition_unfolding,[],[f13479,f14053,f14053]) ).
fof(f14960,plain,
! [X2,X3,X0,X1,X4,X5] :
( v1_xboole_0(X0)
| ~ m2_relset_1(X3,X0,k5_finsub_1(X1))
| ~ v1_funct_2(X3,X0,k5_finsub_1(X1))
| ~ v1_funct_1(X3)
| ~ m2_relset_1(X4,k5_finsub_1(X1),k5_finsub_1(X2))
| ~ v1_funct_2(X4,k5_finsub_1(X1),k5_finsub_1(X2))
| ~ v1_funct_1(X4)
| m1_subset_1(sK515(X1,X2,X4),k5_finsub_1(X1))
| np__0 != k8_funct_2(k5_finsub_1(X1),k5_finsub_1(X2),X4,np__0)
| ~ m1_subset_1(X5,k5_finsub_1(X0))
| k8_funct_2(k5_finsub_1(X1),k5_finsub_1(X2),X4,k10_setwiseo(X0,X1,X5,X3)) = k10_setwiseo(X0,X2,X5,k7_funct_2(X0,k5_finsub_1(X1),k5_finsub_1(X2),X3,X4)) ),
inference(definition_unfolding,[],[f13478,f14053,f14053]) ).
fof(f14961,plain,
! [X2,X3,X0,X1,X4,X5] :
( v1_xboole_0(X0)
| ~ m2_relset_1(X3,X0,k5_finsub_1(X1))
| ~ v1_funct_2(X3,X0,k5_finsub_1(X1))
| ~ v1_funct_1(X3)
| ~ m2_relset_1(X4,k5_finsub_1(X1),k5_finsub_1(X2))
| ~ v1_funct_2(X4,k5_finsub_1(X1),k5_finsub_1(X2))
| ~ v1_funct_1(X4)
| m1_subset_1(sK514(X1,X2,X4),k5_finsub_1(X1))
| np__0 != k8_funct_2(k5_finsub_1(X1),k5_finsub_1(X2),X4,np__0)
| ~ m1_subset_1(X5,k5_finsub_1(X0))
| k8_funct_2(k5_finsub_1(X1),k5_finsub_1(X2),X4,k10_setwiseo(X0,X1,X5,X3)) = k10_setwiseo(X0,X2,X5,k7_funct_2(X0,k5_finsub_1(X1),k5_finsub_1(X2),X3,X4)) ),
inference(definition_unfolding,[],[f13477,f14053,f14053]) ).
fof(f14962,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( v1_xboole_0(X0)
| v1_xboole_0(X1)
| ~ m2_relset_1(X3,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X3)
| ~ v1_setwiseo(X3,X1)
| ~ v3_binop_1(X3,X1)
| ~ v2_binop_1(X3,X1)
| ~ v1_binop_1(X3,X1)
| ~ m2_relset_1(X4,X0,k5_finsub_1(X2))
| ~ v1_funct_2(X4,X0,k5_finsub_1(X2))
| ~ v1_funct_1(X4)
| ~ m2_relset_1(X5,k5_finsub_1(X2),X1)
| ~ v1_funct_2(X5,k5_finsub_1(X2),X1)
| ~ v1_funct_1(X5)
| k8_funct_2(k5_finsub_1(X2),X1,X5,k5_setwiseo(X2,sK516(X1,X2,X3,X5),sK517(X1,X2,X3,X5))) != k2_binop_1(X1,X1,X1,X3,k8_funct_2(k5_finsub_1(X2),X1,X5,sK516(X1,X2,X3,X5)),k8_funct_2(k5_finsub_1(X2),X1,X5,sK517(X1,X2,X3,X5)))
| k3_binop_1(X1,X3) != k8_funct_2(k5_finsub_1(X2),X1,X5,np__0)
| ~ m1_subset_1(X6,k5_finsub_1(X0))
| k8_funct_2(k5_finsub_1(X2),X1,X5,k10_setwiseo(X0,X2,X6,X4)) = k7_setwiseo(X0,X1,X3,X6,k7_funct_2(X0,k5_finsub_1(X2),X1,X4,X5)) ),
inference(definition_unfolding,[],[f13482,f14053]) ).
fof(f14963,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( v1_xboole_0(X0)
| v1_xboole_0(X1)
| ~ m2_relset_1(X3,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X3)
| ~ v1_setwiseo(X3,X1)
| ~ v3_binop_1(X3,X1)
| ~ v2_binop_1(X3,X1)
| ~ v1_binop_1(X3,X1)
| ~ m2_relset_1(X4,X0,k5_finsub_1(X2))
| ~ v1_funct_2(X4,X0,k5_finsub_1(X2))
| ~ v1_funct_1(X4)
| ~ m2_relset_1(X5,k5_finsub_1(X2),X1)
| ~ v1_funct_2(X5,k5_finsub_1(X2),X1)
| ~ v1_funct_1(X5)
| m1_subset_1(sK517(X1,X2,X3,X5),k5_finsub_1(X2))
| k3_binop_1(X1,X3) != k8_funct_2(k5_finsub_1(X2),X1,X5,np__0)
| ~ m1_subset_1(X6,k5_finsub_1(X0))
| k8_funct_2(k5_finsub_1(X2),X1,X5,k10_setwiseo(X0,X2,X6,X4)) = k7_setwiseo(X0,X1,X3,X6,k7_funct_2(X0,k5_finsub_1(X2),X1,X4,X5)) ),
inference(definition_unfolding,[],[f13481,f14053]) ).
fof(f14964,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( v1_xboole_0(X0)
| v1_xboole_0(X1)
| ~ m2_relset_1(X3,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X3)
| ~ v1_setwiseo(X3,X1)
| ~ v3_binop_1(X3,X1)
| ~ v2_binop_1(X3,X1)
| ~ v1_binop_1(X3,X1)
| ~ m2_relset_1(X4,X0,k5_finsub_1(X2))
| ~ v1_funct_2(X4,X0,k5_finsub_1(X2))
| ~ v1_funct_1(X4)
| ~ m2_relset_1(X5,k5_finsub_1(X2),X1)
| ~ v1_funct_2(X5,k5_finsub_1(X2),X1)
| ~ v1_funct_1(X5)
| m1_subset_1(sK516(X1,X2,X3,X5),k5_finsub_1(X2))
| k3_binop_1(X1,X3) != k8_funct_2(k5_finsub_1(X2),X1,X5,np__0)
| ~ m1_subset_1(X6,k5_finsub_1(X0))
| k8_funct_2(k5_finsub_1(X2),X1,X5,k10_setwiseo(X0,X2,X6,X4)) = k7_setwiseo(X0,X1,X3,X6,k7_funct_2(X0,k5_finsub_1(X2),X1,X4,X5)) ),
inference(definition_unfolding,[],[f13480,f14053]) ).
fof(f14965,plain,
! [X2,X0,X1] :
( v1_xboole_0(X0)
| ~ m2_relset_1(X2,X0,k5_finsub_1(X1))
| ~ v1_funct_2(X2,X0,k5_finsub_1(X1))
| ~ v1_funct_1(X2)
| np__0 = k10_setwiseo(X0,X1,np__0,X2) ),
inference(definition_unfolding,[],[f13483,f13783,f14053]) ).
fof(f14966,plain,
! [X0] : r3_binop_1(k5_finsub_1(X0),np__0,k9_setwiseo(X0)),
inference(definition_unfolding,[],[f13484,f14053]) ).
fof(f14967,plain,
! [X2,X3,X0,X1] :
( v1_xboole_0(X0)
| v1_xboole_0(X1)
| ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ v1_setwiseo(X2,X0)
| ~ v2_binop_1(X2,X0)
| ~ v1_binop_1(X2,X0)
| ~ m2_relset_1(X3,X1,X0)
| ~ v1_funct_2(X3,X1,X0)
| ~ v1_funct_1(X3)
| k3_binop_1(X0,X2) = k7_setwiseo(X1,X0,X2,np__0,X3) ),
inference(definition_unfolding,[],[f13485,f14053]) ).
fof(f14968,plain,
! [X2,X0,X1] :
( ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| k9_relat_1(k8_relat_1(X0,X2),X1) = k4_xboole_0(X0,k4_xboole_0(X0,k9_relat_1(X2,X1))) ),
inference(definition_unfolding,[],[f13501,f10579]) ).
fof(f14969,plain,
! [X0] : np__0 = k8_relat_1(X0,np__0),
inference(definition_unfolding,[],[f13530,f13783,f13783]) ).
fof(f14970,plain,
! [X0] :
( ~ v1_relat_1(X0)
| np__0 = k8_relat_1(np__0,X0) ),
inference(definition_unfolding,[],[f13531,f13783,f13783]) ).
fof(f14971,plain,
! [X2,X0,X1] :
( ~ v1_relat_1(X2)
| k8_relat_1(k4_xboole_0(X0,k4_xboole_0(X0,X1)),X2) = k4_xboole_0(k8_relat_1(X0,X2),k4_xboole_0(k8_relat_1(X0,X2),k8_relat_1(X1,X2))) ),
inference(definition_unfolding,[],[f13533,f10579,f10579]) ).
fof(f14972,plain,
! [X2,X0,X1] :
( ~ v1_relat_1(X2)
| k8_relat_1(k3_tarski(k2_tarski(X0,X1)),X2) = k3_tarski(k2_tarski(k8_relat_1(X0,X2),k8_relat_1(X1,X2))) ),
inference(definition_unfolding,[],[f13534,f12734,f12734]) ).
fof(f14973,plain,
! [X2,X0,X1] :
( ~ v1_relat_1(X2)
| k8_relat_1(X0,k8_relat_1(X1,X2)) = k8_relat_1(k4_xboole_0(X0,k4_xboole_0(X0,X1)),X2) ),
inference(definition_unfolding,[],[f13541,f10579]) ).
fof(f14974,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| k8_relat_1(X0,X1) = k4_xboole_0(X1,k4_xboole_0(X1,k2_zfmisc_1(k1_relat_1(X1),X0))) ),
inference(definition_unfolding,[],[f13544,f10579]) ).
fof(f14975,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| k2_relat_1(k8_relat_1(X0,X1)) = k4_xboole_0(k2_relat_1(X1),k4_xboole_0(k2_relat_1(X1),X0)) ),
inference(definition_unfolding,[],[f13548,f10579]) ).
fof(f14976,plain,
! [X2,X0,X1] :
( ~ v1_relat_1(X1)
| ~ v1_relat_1(X2)
| ~ r2_hidden(k2_tarski(k2_tarski(sK520(X0,X1,X2),sK521(X0,X1,X2)),k2_enumset1(sK520(X0,X1,X2),sK520(X0,X1,X2),sK520(X0,X1,X2),sK520(X0,X1,X2))),X2)
| ~ r2_hidden(k2_tarski(k2_tarski(sK520(X0,X1,X2),sK521(X0,X1,X2)),k2_enumset1(sK520(X0,X1,X2),sK520(X0,X1,X2),sK520(X0,X1,X2),sK520(X0,X1,X2))),X1)
| ~ r2_hidden(sK521(X0,X1,X2),X0)
| k8_relat_1(X0,X1) = X2 ),
inference(definition_unfolding,[],[f13560,f14052,f14052]) ).
fof(f14977,plain,
! [X2,X0,X1] :
( ~ v1_relat_1(X1)
| ~ v1_relat_1(X2)
| r2_hidden(k2_tarski(k2_tarski(sK520(X0,X1,X2),sK521(X0,X1,X2)),k2_enumset1(sK520(X0,X1,X2),sK520(X0,X1,X2),sK520(X0,X1,X2),sK520(X0,X1,X2))),X2)
| r2_hidden(sK521(X0,X1,X2),X0)
| k8_relat_1(X0,X1) = X2 ),
inference(definition_unfolding,[],[f13559,f14052]) ).
fof(f14978,plain,
! [X2,X0,X1] :
( ~ v1_relat_1(X1)
| ~ v1_relat_1(X2)
| r2_hidden(k2_tarski(k2_tarski(sK520(X0,X1,X2),sK521(X0,X1,X2)),k2_enumset1(sK520(X0,X1,X2),sK520(X0,X1,X2),sK520(X0,X1,X2),sK520(X0,X1,X2))),X2)
| r2_hidden(k2_tarski(k2_tarski(sK520(X0,X1,X2),sK521(X0,X1,X2)),k2_enumset1(sK520(X0,X1,X2),sK520(X0,X1,X2),sK520(X0,X1,X2),sK520(X0,X1,X2))),X1)
| k8_relat_1(X0,X1) = X2 ),
inference(definition_unfolding,[],[f13558,f14052,f14052]) ).
fof(f14979,plain,
! [X2,X0,X1,X6,X5] :
( ~ v1_relat_1(X1)
| ~ v1_relat_1(X2)
| k8_relat_1(X0,X1) != X2
| ~ r2_hidden(k2_tarski(k2_tarski(X5,X6),k2_enumset1(X5,X5,X5,X5)),X1)
| ~ r2_hidden(X6,X0)
| r2_hidden(k2_tarski(k2_tarski(X5,X6),k2_enumset1(X5,X5,X5,X5)),X2) ),
inference(definition_unfolding,[],[f13557,f14052,f14052]) ).
fof(f14980,plain,
! [X2,X0,X1,X6,X5] :
( ~ v1_relat_1(X1)
| ~ v1_relat_1(X2)
| k8_relat_1(X0,X1) != X2
| ~ r2_hidden(k2_tarski(k2_tarski(X5,X6),k2_enumset1(X5,X5,X5,X5)),X2)
| r2_hidden(X6,X0) ),
inference(definition_unfolding,[],[f13556,f14052]) ).
fof(f14981,plain,
! [X2,X0,X1,X6,X5] :
( ~ v1_relat_1(X1)
| ~ v1_relat_1(X2)
| k8_relat_1(X0,X1) != X2
| ~ r2_hidden(k2_tarski(k2_tarski(X5,X6),k2_enumset1(X5,X5,X5,X5)),X2)
| r2_hidden(k2_tarski(k2_tarski(X5,X6),k2_enumset1(X5,X5,X5,X5)),X1) ),
inference(definition_unfolding,[],[f13555,f14052,f14052]) ).
fof(f14984,plain,
! [X0] :
( ~ v1_finseq_1(X0)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| np__0 != X0
| np__0 = k3_finseq_1(X0) ),
inference(definition_unfolding,[],[f13574,f13783]) ).
fof(f14985,plain,
! [X0] :
( ~ v1_finseq_1(X0)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| np__0 != k3_finseq_1(X0)
| np__0 = X0 ),
inference(definition_unfolding,[],[f13573,f13783]) ).
fof(f14986,plain,
v1_relat_1(np__0),
inference(definition_unfolding,[],[f13577,f13783]) ).
fof(f14987,plain,
v1_funct_1(np__0),
inference(definition_unfolding,[],[f13576,f13783]) ).
fof(f14988,plain,
v1_finseq_1(np__0),
inference(definition_unfolding,[],[f13575,f13783]) ).
fof(f14989,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X1,X0,X0)
| ~ v1_partfun1(X1,X0,X0)
| ~ v1_relat_2(X1)
| np__0 != X1
| ~ r2_hidden(X2,X0) ),
inference(definition_unfolding,[],[f13594,f13783]) ).
fof(f14990,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X2,X0,X0)
| ~ v1_partfun1(X2,X0,X0)
| ~ v1_relat_2(X2)
| ~ r2_hidden(X1,X0)
| r2_hidden(k2_tarski(k2_tarski(X1,X1),k2_enumset1(X1,X1,X1,X1)),X2) ),
inference(definition_unfolding,[],[f13595,f14052]) ).
fof(f14991,plain,
! [X0,X1] :
( ~ v1_relat_1(X0)
| ~ v1_relat_1(X1)
| ~ v1_relat_2(X1)
| ~ v1_relat_2(X0)
| v1_relat_2(k3_tarski(k2_tarski(X0,X1))) ),
inference(definition_unfolding,[],[f13599,f12734]) ).
fof(f14992,plain,
! [X0,X1] :
( ~ v1_relat_1(X0)
| ~ v1_relat_1(X1)
| ~ v1_relat_2(X1)
| ~ v1_relat_2(X0)
| v1_relat_2(k4_xboole_0(X0,k4_xboole_0(X0,X1))) ),
inference(definition_unfolding,[],[f13598,f10579]) ).
fof(f14993,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| r1_tarski(k4_xboole_0(k2_relat_1(X1),k4_xboole_0(k2_relat_1(X1),X0)),k10_relat_1(k4_relat_1(X1),k10_relat_1(X1,X0))) ),
inference(definition_unfolding,[],[f13613,f10579]) ).
fof(f14994,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| r1_tarski(k4_xboole_0(k1_relat_1(X1),k4_xboole_0(k1_relat_1(X1),X0)),k9_relat_1(k4_relat_1(X1),k9_relat_1(X1,X0))) ),
inference(definition_unfolding,[],[f13614,f10579]) ).
fof(f14995,plain,
! [X0] : k6_partfun1(X0) = k4_relat_1(k6_partfun1(X0)),
inference(definition_unfolding,[],[f13615,f13737,f13737]) ).
fof(f14996,plain,
np__0 = k4_relat_1(np__0),
inference(definition_unfolding,[],[f13616,f13783,f13783]) ).
fof(f14997,plain,
! [X0,X1] :
( ~ v1_relat_1(X0)
| ~ v1_relat_1(X1)
| k4_relat_1(k3_tarski(k2_tarski(X0,X1))) = k3_tarski(k2_tarski(k4_relat_1(X0),k4_relat_1(X1))) ),
inference(definition_unfolding,[],[f13619,f12734,f12734]) ).
fof(f14998,plain,
! [X0,X1] :
( ~ v1_relat_1(X0)
| ~ v1_relat_1(X1)
| k4_relat_1(k4_xboole_0(X0,k4_xboole_0(X0,X1))) = k4_xboole_0(k4_relat_1(X0),k4_xboole_0(k4_relat_1(X0),k4_relat_1(X1))) ),
inference(definition_unfolding,[],[f13620,f10579,f10579]) ).
fof(f14999,plain,
! [X0,X1] :
( ~ v1_relat_1(X0)
| ~ v1_relat_1(X1)
| ~ r2_hidden(k2_tarski(k2_tarski(sK526(X0,X1),sK527(X0,X1)),k2_enumset1(sK526(X0,X1),sK526(X0,X1),sK526(X0,X1),sK526(X0,X1))),X1)
| ~ r2_hidden(k2_tarski(k2_tarski(sK527(X0,X1),sK526(X0,X1)),k2_enumset1(sK527(X0,X1),sK527(X0,X1),sK527(X0,X1),sK527(X0,X1))),X0)
| k4_relat_1(X0) = X1 ),
inference(definition_unfolding,[],[f13626,f14052,f14052]) ).
fof(f15000,plain,
! [X0,X1] :
( ~ v1_relat_1(X0)
| ~ v1_relat_1(X1)
| r2_hidden(k2_tarski(k2_tarski(sK526(X0,X1),sK527(X0,X1)),k2_enumset1(sK526(X0,X1),sK526(X0,X1),sK526(X0,X1),sK526(X0,X1))),X1)
| r2_hidden(k2_tarski(k2_tarski(sK527(X0,X1),sK526(X0,X1)),k2_enumset1(sK527(X0,X1),sK527(X0,X1),sK527(X0,X1),sK527(X0,X1))),X0)
| k4_relat_1(X0) = X1 ),
inference(definition_unfolding,[],[f13625,f14052,f14052]) ).
fof(f15001,plain,
! [X0,X1,X4,X5] :
( ~ v1_relat_1(X0)
| ~ v1_relat_1(X1)
| k4_relat_1(X0) != X1
| ~ r2_hidden(k2_tarski(k2_tarski(X5,X4),k2_enumset1(X5,X5,X5,X5)),X0)
| r2_hidden(k2_tarski(k2_tarski(X4,X5),k2_enumset1(X4,X4,X4,X4)),X1) ),
inference(definition_unfolding,[],[f13624,f14052,f14052]) ).
fof(f15002,plain,
! [X0,X1,X4,X5] :
( ~ v1_relat_1(X0)
| ~ v1_relat_1(X1)
| k4_relat_1(X0) != X1
| ~ r2_hidden(k2_tarski(k2_tarski(X4,X5),k2_enumset1(X4,X4,X4,X4)),X1)
| r2_hidden(k2_tarski(k2_tarski(X5,X4),k2_enumset1(X5,X5,X5,X5)),X0) ),
inference(definition_unfolding,[],[f13623,f14052,f14052]) ).
fof(f15003,plain,
! [X0,X1] : k1_funct_4(k6_partfun1(X0),k6_partfun1(X1)) = k6_partfun1(k3_tarski(k2_tarski(X0,X1))),
inference(definition_unfolding,[],[f13732,f12734]) ).
fof(f15004,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X2,X0,X1)
| ~ v1_funct_2(X2,X0,X1)
| ~ v1_funct_1(X2)
| ~ v2_funct_1(X2)
| k2_relat_1(X2) != X1
| k6_partfun1(X0) = k5_relat_1(X2,k2_funct_1(X2))
| np__0 = X1 ),
inference(definition_unfolding,[],[f13736,f13783]) ).
fof(f15005,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X2,X0,X1)
| ~ v1_funct_2(X2,X0,X1)
| ~ v1_funct_1(X2)
| ~ v2_funct_1(X2)
| k2_relat_1(X2) != X1
| k6_partfun1(X1) = k5_relat_1(k2_funct_1(X2),X2)
| np__0 = X1 ),
inference(definition_unfolding,[],[f13735,f13783]) ).
fof(f15006,plain,
v3_ordinal1(np__0),
inference(definition_unfolding,[],[f13750,f13783]) ).
fof(f15007,plain,
! [X0] :
( ~ v3_ordinal1(X0)
| k4_xboole_0(k3_tarski(k2_tarski(X0,k2_enumset1(X0,X0,X0,X0))),k2_enumset1(X0,X0,X0,X0)) = X0 ),
inference(definition_unfolding,[],[f13753,f14054,f14051]) ).
fof(f15008,plain,
! [X0] :
( ~ v3_ordinal1(X0)
| r1_tarski(k3_tarski(k2_tarski(X0,k2_enumset1(X0,X0,X0,X0))),k1_zfmisc_1(X0)) ),
inference(definition_unfolding,[],[f13754,f14054]) ).
fof(f15009,plain,
! [X0] :
( ~ v3_ordinal1(X0)
| k3_tarski(k2_tarski(sK553(X0),k2_enumset1(sK553(X0),sK553(X0),sK553(X0),sK553(X0)))) = X0
| v4_ordinal1(X0) ),
inference(definition_unfolding,[],[f13757,f14054]) ).
fof(f15010,plain,
! [X2,X0] :
( ~ v3_ordinal1(X0)
| ~ v4_ordinal1(X0)
| k3_tarski(k2_tarski(X2,k2_enumset1(X2,X2,X2,X2))) != X0
| ~ v3_ordinal1(X2) ),
inference(definition_unfolding,[],[f13755,f14054]) ).
fof(f15011,plain,
! [X0] :
( ~ v3_ordinal1(X0)
| ~ r2_hidden(k3_tarski(k2_tarski(sK554(X0),k2_enumset1(sK554(X0),sK554(X0),sK554(X0),sK554(X0)))),X0)
| v4_ordinal1(X0) ),
inference(definition_unfolding,[],[f13761,f14054]) ).
fof(f15012,plain,
! [X2,X0] :
( ~ v3_ordinal1(X0)
| ~ v4_ordinal1(X0)
| ~ v3_ordinal1(X2)
| ~ r2_hidden(X2,X0)
| r2_hidden(k3_tarski(k2_tarski(X2,k2_enumset1(X2,X2,X2,X2))),X0) ),
inference(definition_unfolding,[],[f13758,f14054]) ).
fof(f15013,plain,
! [X0] :
( ~ v3_ordinal1(X0)
| v3_ordinal1(k3_tarski(k2_tarski(X0,k2_enumset1(X0,X0,X0,X0)))) ),
inference(definition_unfolding,[],[f13762,f14054]) ).
fof(f15014,plain,
! [X0] : k3_tarski(k2_tarski(X0,k2_enumset1(X0,X0,X0,X0))) != X0,
inference(definition_unfolding,[],[f13763,f14054]) ).
fof(f15018,plain,
! [X0,X1] :
( k3_tarski(k2_tarski(X0,k2_enumset1(X0,X0,X0,X0))) != k3_tarski(k2_tarski(X1,k2_enumset1(X1,X1,X1,X1)))
| X0 = X1 ),
inference(definition_unfolding,[],[f13767,f14054,f14054]) ).
fof(f15020,plain,
! [X0] : ~ v1_xboole_0(k3_tarski(k2_tarski(X0,k2_enumset1(X0,X0,X0,X0)))),
inference(definition_unfolding,[],[f13770,f14054]) ).
fof(f15027,plain,
! [X0] : m2_finseq_1(np__0,X0),
inference(definition_unfolding,[],[f13829,f13783]) ).
fof(f15028,plain,
! [X0,X1] :
( ~ v4_finsub_1(X0)
| v1_xboole_0(X0)
| ~ v4_finsub_1(X1)
| v1_xboole_0(X1)
| ~ v1_xboole_0(k4_xboole_0(X0,k4_xboole_0(X0,X1))) ),
inference(definition_unfolding,[],[f13840,f10579]) ).
fof(f15029,plain,
! [X0,X1] :
( ~ v4_finsub_1(X0)
| v1_xboole_0(X0)
| ~ v4_finsub_1(X1)
| v1_xboole_0(X1)
| v4_finsub_1(k4_xboole_0(X0,k4_xboole_0(X0,X1))) ),
inference(definition_unfolding,[],[f13839,f10579]) ).
fof(f15030,plain,
! [X0] :
( ~ v4_finsub_1(X0)
| v1_xboole_0(X0)
| r2_hidden(np__0,X0) ),
inference(definition_unfolding,[],[f13842,f13783]) ).
fof(f15031,plain,
! [X2,X0,X1] :
( ~ v4_finsub_1(X2)
| v1_xboole_0(X2)
| ~ m1_subset_1(X1,X2)
| ~ m1_subset_1(X0,X2)
| m1_subset_1(k4_xboole_0(X0,k4_xboole_0(X0,X1)),X2) ),
inference(definition_unfolding,[],[f13843,f10579]) ).
fof(f15032,plain,
! [X0] :
( ~ r2_hidden(k4_xboole_0(sK558(X0),sK559(X0)),X0)
| ~ r2_hidden(k3_tarski(k2_tarski(sK558(X0),sK559(X0))),X0)
| v4_finsub_1(X0) ),
inference(definition_unfolding,[],[f13848,f12734]) ).
fof(f15033,plain,
! [X3,X0,X4] :
( ~ v4_finsub_1(X0)
| ~ r2_hidden(X4,X0)
| ~ r2_hidden(X3,X0)
| r2_hidden(k3_tarski(k2_tarski(X3,X4)),X0) ),
inference(definition_unfolding,[],[f13845,f12734]) ).
fof(f15034,plain,
! [X2,X3,X0,X1] : k2_zfmisc_1(k2_tarski(X0,X1),k2_tarski(X2,X3)) = k2_enumset1(k2_tarski(k2_tarski(X0,X2),k2_enumset1(X0,X0,X0,X0)),k2_tarski(k2_tarski(X0,X3),k2_enumset1(X0,X0,X0,X0)),k2_tarski(k2_tarski(X1,X2),k2_enumset1(X1,X1,X1,X1)),k2_tarski(k2_tarski(X1,X3),k2_enumset1(X1,X1,X1,X1))),
inference(definition_unfolding,[],[f13850,f14052,f14052,f14052,f14052]) ).
fof(f15035,plain,
! [X2,X3,X0,X1,X4] :
( ~ m1_subset_1(X1,X0)
| ~ m1_subset_1(X2,X0)
| ~ m1_subset_1(X3,X0)
| ~ m1_subset_1(X4,X0)
| np__0 = X0
| m1_subset_1(k2_enumset1(X1,X2,X3,X4),k1_zfmisc_1(X0)) ),
inference(definition_unfolding,[],[f13851,f13783]) ).
fof(f15037,plain,
! [X2,X3,X0,X1] : k2_enumset1(X0,X1,X2,X3) = k3_tarski(k2_tarski(k2_tarski(X0,X1),k2_tarski(X2,X3))),
inference(definition_unfolding,[],[f13870,f12734]) ).
fof(f15038,plain,
! [X0,X1] :
( ~ v1_finset_1(X1)
| r2_wellord2(k2_zfmisc_1(X0,X1),X0)
| np__0 = X1
| v1_finset_1(X0) ),
inference(definition_unfolding,[],[f13893,f13783]) ).
fof(f15039,plain,
! [X0,X1] :
( ~ v1_finset_1(X1)
| k1_card_1(X0) = k1_card_1(k2_zfmisc_1(X0,X1))
| np__0 = X1
| v1_finset_1(X0) ),
inference(definition_unfolding,[],[f13892,f13783]) ).
fof(f15040,plain,
! [X0,X1] :
( r2_wellord2(k3_tarski(k2_tarski(X0,X1)),X0)
| ~ r2_hidden(k1_card_1(X1),k1_card_1(X0))
| v1_finset_1(X0) ),
inference(definition_unfolding,[],[f13899,f12734]) ).
fof(f15041,plain,
! [X0,X1] :
( k1_card_1(X0) = k1_card_1(k3_tarski(k2_tarski(X0,X1)))
| ~ r2_hidden(k1_card_1(X1),k1_card_1(X0))
| v1_finset_1(X0) ),
inference(definition_unfolding,[],[f13898,f12734]) ).
fof(f15042,plain,
! [X0,X1] :
( r2_wellord2(k3_tarski(k2_tarski(X0,X1)),X0)
| ~ r1_tarski(k1_card_1(X1),k1_card_1(X0))
| v1_finset_1(X0) ),
inference(definition_unfolding,[],[f13897,f12734]) ).
fof(f15043,plain,
! [X0,X1] :
( k1_card_1(X0) = k1_card_1(k3_tarski(k2_tarski(X0,X1)))
| ~ r1_tarski(k1_card_1(X1),k1_card_1(X0))
| v1_finset_1(X0) ),
inference(definition_unfolding,[],[f13896,f12734]) ).
fof(f15044,plain,
! [X0,X1] :
( ~ v1_finset_1(X1)
| r2_wellord2(k3_tarski(k2_tarski(X0,X1)),X0)
| v1_finset_1(X0) ),
inference(definition_unfolding,[],[f13901,f12734]) ).
fof(f15045,plain,
! [X0,X1] :
( ~ v1_finset_1(X1)
| k1_card_1(X0) = k1_card_1(k3_tarski(k2_tarski(X0,X1)))
| v1_finset_1(X0) ),
inference(definition_unfolding,[],[f13900,f12734]) ).
fof(f15046,plain,
! [X0,X1] :
( r2_wellord2(k3_tarski(k2_tarski(X0,X1)),X0)
| ~ r2_wellord2(X0,X1)
| v1_finset_1(X0) ),
inference(definition_unfolding,[],[f13905,f12734]) ).
fof(f15047,plain,
! [X0,X1] :
( k1_card_1(X0) = k1_card_1(k3_tarski(k2_tarski(X0,X1)))
| ~ r2_wellord2(X0,X1)
| v1_finset_1(X0) ),
inference(definition_unfolding,[],[f13904,f12734]) ).
fof(f15048,plain,
! [X0,X1] :
( r2_wellord2(k3_tarski(k2_tarski(X0,X1)),X0)
| ~ r2_wellord2(X1,X0)
| v1_finset_1(X0) ),
inference(definition_unfolding,[],[f13903,f12734]) ).
fof(f15049,plain,
! [X0,X1] :
( k1_card_1(X0) = k1_card_1(k3_tarski(k2_tarski(X0,X1)))
| ~ r2_wellord2(X1,X0)
| v1_finset_1(X0) ),
inference(definition_unfolding,[],[f13902,f12734]) ).
fof(f15050,plain,
! [X2,X0,X1] :
( ~ r1_xboole_0(X0,X1)
| r2_wellord2(k1_funct_2(k3_tarski(k2_tarski(X0,X1)),X2),k2_zfmisc_1(k1_funct_2(X0,X2),k1_funct_2(X1,X2))) ),
inference(definition_unfolding,[],[f13916,f12734]) ).
fof(f15051,plain,
! [X2,X0,X1] :
( ~ r1_xboole_0(X0,X1)
| k1_card_1(k2_zfmisc_1(k1_funct_2(X0,X2),k1_funct_2(X1,X2))) = k1_card_1(k1_funct_2(k3_tarski(k2_tarski(X0,X1)),X2)) ),
inference(definition_unfolding,[],[f13915,f12734]) ).
fof(f15052,plain,
! [X0,X1] : r2_wellord2(X0,k1_funct_2(k2_enumset1(X1,X1,X1,X1),X0)),
inference(definition_unfolding,[],[f13920,f14051]) ).
fof(f15053,plain,
! [X0,X1] : k1_card_1(X0) = k1_card_1(k1_funct_2(k2_enumset1(X1,X1,X1,X1),X0)),
inference(definition_unfolding,[],[f13919,f14051]) ).
fof(f15054,plain,
! [X2,X3,X0,X1] :
( ~ r2_hidden(X3,X1)
| ~ r2_hidden(X2,X0)
| ~ r2_wellord2(X0,X1)
| r2_wellord2(k4_xboole_0(X0,k2_enumset1(X2,X2,X2,X2)),k4_xboole_0(X1,k2_enumset1(X3,X3,X3,X3))) ),
inference(definition_unfolding,[],[f13925,f14051,f14051]) ).
fof(f15055,plain,
! [X2,X0,X1] :
( ~ r2_hidden(X2,X1)
| ~ r2_hidden(X0,X1)
| r2_wellord2(k4_xboole_0(X1,k2_enumset1(X0,X0,X0,X0)),k4_xboole_0(X1,k2_enumset1(X2,X2,X2,X2))) ),
inference(definition_unfolding,[],[f13927,f14051,f14051]) ).
fof(f15056,plain,
! [X2,X3,X0,X1] :
( ~ r2_wellord2(X1,X3)
| ~ r2_wellord2(X0,X2)
| ~ r1_xboole_0(X2,X3)
| ~ r1_xboole_0(X0,X1)
| r2_wellord2(k3_tarski(k2_tarski(X0,X1)),k3_tarski(k2_tarski(X2,X3))) ),
inference(definition_unfolding,[],[f13928,f12734,f12734]) ).
fof(f15057,plain,
! [X2,X0,X1] :
( k2_enumset1(X2,X2,X2,X2) != X0
| r2_wellord2(X0,k2_enumset1(X1,X1,X1,X1)) ),
inference(definition_unfolding,[],[f13930,f14051,f14051]) ).
fof(f15058,plain,
! [X0,X1] :
( ~ r2_wellord2(X0,k2_enumset1(X1,X1,X1,X1))
| k2_enumset1(sK562(X0),sK562(X0),sK562(X0),sK562(X0)) = X0 ),
inference(definition_unfolding,[],[f13929,f14051,f14051]) ).
fof(f15059,plain,
! [X0] :
( np__0 != X0
| r2_wellord2(X0,np__0) ),
inference(definition_unfolding,[],[f13932,f13783,f13783]) ).
fof(f15060,plain,
! [X0] :
( ~ r2_wellord2(X0,np__0)
| np__0 = X0 ),
inference(definition_unfolding,[],[f13931,f13783,f13783]) ).
fof(f15061,plain,
! [X0] :
( ~ m2_subset_1(X0,k1_numbers,k5_numbers)
| k1_nat_1(X0,np__1) = k3_tarski(k2_tarski(X0,k2_enumset1(X0,X0,X0,X0))) ),
inference(definition_unfolding,[],[f13999,f14054]) ).
fof(f15062,plain,
! [X0,X1] :
( ~ v1_finseq_1(X0)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ~ v1_finseq_1(X1)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| np__0 != k7_finseq_1(X0,X1)
| np__0 = X0 ),
inference(definition_unfolding,[],[f14011,f13783,f13783]) ).
fof(f15063,plain,
! [X0,X1] :
( ~ v1_finseq_1(X0)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ~ v1_finseq_1(X1)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| np__0 != k7_finseq_1(X0,X1)
| np__0 = X1 ),
inference(definition_unfolding,[],[f14010,f13783,f13783]) ).
fof(f15064,plain,
! [X0] :
( ~ v1_finseq_1(X0)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| k7_finseq_1(X0,np__0) = X0 ),
inference(definition_unfolding,[],[f14013,f13783]) ).
fof(f15065,plain,
! [X0] :
( ~ v1_finseq_1(X0)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| k7_finseq_1(np__0,X0) = X0 ),
inference(definition_unfolding,[],[f14012,f13783]) ).
fof(f15066,plain,
! [X0,X1] :
( ~ v1_finseq_1(X0)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ~ v1_finseq_1(X1)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| k2_relat_1(k7_finseq_1(X0,X1)) = k3_tarski(k2_tarski(k2_relat_1(X0),k2_relat_1(X1))) ),
inference(definition_unfolding,[],[f14017,f12734]) ).
fof(f15067,plain,
! [X0,X1] :
( ~ v1_finseq_1(X1)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| k2_enumset1(X0,X0,X0,X0) != k2_relat_1(X1)
| k2_finseq_1(np__1) != k4_finseq_1(X1)
| k9_finseq_1(X0) = X1 ),
inference(definition_unfolding,[],[f14040,f14051]) ).
fof(f15068,plain,
! [X0,X1] :
( ~ v1_finseq_1(X1)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| k9_finseq_1(X0) != X1
| k2_enumset1(X0,X0,X0,X0) = k2_relat_1(X1) ),
inference(definition_unfolding,[],[f14038,f14051]) ).
fof(f15069,plain,
! [X0] :
( ~ v1_finseq_1(X0)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| np__0 != k4_finseq_1(X0)
| np__0 = X0 ),
inference(definition_unfolding,[],[f14044,f13783,f13783]) ).
fof(f15070,plain,
! [X0] :
( ~ v1_finseq_1(X0)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| np__0 != X0
| np__0 = k4_finseq_1(X0) ),
inference(definition_unfolding,[],[f14043,f13783,f13783]) ).
fof(f15071,plain,
! [X0,X1] :
( ~ v1_finseq_1(X1)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| k2_tarski(k2_tarski(sK579(X0,X1),k1_funct_1(X1,sK579(X0,X1))),k2_enumset1(sK579(X0,X1),sK579(X0,X1),sK579(X0,X1),sK579(X0,X1))) = X0
| ~ r2_hidden(X0,X1) ),
inference(definition_unfolding,[],[f14049,f14052]) ).
fof(f15072,plain,
! [X2,X1] : r2_hidden(X2,k3_tarski(k2_tarski(X1,k2_enumset1(X2,X2,X2,X2)))),
inference(equality_resolution,[],[f14068]) ).
fof(f15073,plain,
! [X0,X1] :
( ~ v1_relat_1(k2_enumset1(k2_tarski(k2_tarski(X0,X1),k2_enumset1(X0,X0,X0,X0)),k2_tarski(k2_tarski(X0,X1),k2_enumset1(X0,X0,X0,X0)),k2_tarski(k2_tarski(X0,X1),k2_enumset1(X0,X0,X0,X0)),k2_tarski(k2_tarski(X0,X1),k2_enumset1(X0,X0,X0,X0))))
| k2_enumset1(X0,X0,X0,X0) = k1_relat_1(k2_enumset1(k2_tarski(k2_tarski(X0,X1),k2_enumset1(X0,X0,X0,X0)),k2_tarski(k2_tarski(X0,X1),k2_enumset1(X0,X0,X0,X0)),k2_tarski(k2_tarski(X0,X1),k2_enumset1(X0,X0,X0,X0)),k2_tarski(k2_tarski(X0,X1),k2_enumset1(X0,X0,X0,X0)))) ),
inference(equality_resolution,[],[f14085]) ).
fof(f15074,plain,
! [X0,X1] :
( ~ v1_relat_1(k2_enumset1(k2_tarski(k2_tarski(X0,X1),k2_enumset1(X0,X0,X0,X0)),k2_tarski(k2_tarski(X0,X1),k2_enumset1(X0,X0,X0,X0)),k2_tarski(k2_tarski(X0,X1),k2_enumset1(X0,X0,X0,X0)),k2_tarski(k2_tarski(X0,X1),k2_enumset1(X0,X0,X0,X0))))
| k2_enumset1(X1,X1,X1,X1) = k2_relat_1(k2_enumset1(k2_tarski(k2_tarski(X0,X1),k2_enumset1(X0,X0,X0,X0)),k2_tarski(k2_tarski(X0,X1),k2_enumset1(X0,X0,X0,X0)),k2_tarski(k2_tarski(X0,X1),k2_enumset1(X0,X0,X0,X0)),k2_tarski(k2_tarski(X0,X1),k2_enumset1(X0,X0,X0,X0)))) ),
inference(equality_resolution,[],[f14086]) ).
fof(f15075,plain,
! [X2,X3,X0] :
( ~ r2_hidden(X0,X2)
| r2_hidden(k2_tarski(k2_tarski(X0,X3),k2_enumset1(X0,X0,X0,X0)),k2_zfmisc_1(X2,k2_enumset1(X3,X3,X3,X3))) ),
inference(equality_resolution,[],[f14093]) ).
fof(f15076,plain,
! [X2,X3,X1] :
( ~ r2_hidden(X1,X3)
| r2_hidden(k2_tarski(k2_tarski(X2,X1),k2_enumset1(X2,X2,X2,X2)),k2_zfmisc_1(k2_enumset1(X2,X2,X2,X2),X3)) ),
inference(equality_resolution,[],[f14096]) ).
fof(f15079,plain,
! [X2,X3,X1] :
( X1 != X3
| r2_hidden(k2_tarski(k2_tarski(X2,X1),k2_enumset1(X2,X2,X2,X2)),k2_zfmisc_1(k2_enumset1(X2,X2,X2,X2),k2_enumset1(X3,X3,X3,X3))) ),
inference(equality_resolution,[],[f14120]) ).
fof(f15080,plain,
! [X2,X3] : r2_hidden(k2_tarski(k2_tarski(X2,X3),k2_enumset1(X2,X2,X2,X2)),k2_zfmisc_1(k2_enumset1(X2,X2,X2,X2),k2_enumset1(X3,X3,X3,X3))),
inference(equality_resolution,[],[f15079]) ).
fof(f15083,plain,
! [X3,X0] :
( ~ r2_hidden(X3,k2_enumset1(X0,X0,X0,X0))
| X0 = X3 ),
inference(equality_resolution,[],[f14130]) ).
fof(f15084,plain,
! [X2,X3,X0,X4,X5] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X4,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_filter_0(X3,X0)
| ~ m1_subset_1(X4,u1_struct_0(k8_filter_0(X0,X3)))
| ~ m1_subset_1(X5,u1_struct_0(k8_filter_0(X0,X3)))
| X2 != X5
| ~ r3_lattices(k8_filter_0(X0,X3),X4,X5)
| r3_lattices(X0,X4,X2) ),
inference(equality_resolution,[],[f10359]) ).
fof(f15085,plain,
! [X3,X0,X4,X5] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X4,u1_struct_0(X0))
| ~ m1_subset_1(X5,u1_struct_0(X0))
| ~ m1_filter_0(X3,X0)
| ~ m1_subset_1(X4,u1_struct_0(k8_filter_0(X0,X3)))
| ~ m1_subset_1(X5,u1_struct_0(k8_filter_0(X0,X3)))
| ~ r3_lattices(k8_filter_0(X0,X3),X4,X5)
| r3_lattices(X0,X4,X5) ),
inference(equality_resolution,[],[f15084]) ).
fof(f15086,plain,
! [X2,X3,X0,X4,X5] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X4,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_filter_0(X3,X0)
| ~ m1_subset_1(X4,u1_struct_0(k8_filter_0(X0,X3)))
| ~ m1_subset_1(X5,u1_struct_0(k8_filter_0(X0,X3)))
| X2 != X5
| ~ r3_lattices(X0,X4,X2)
| r3_lattices(k8_filter_0(X0,X3),X4,X5) ),
inference(equality_resolution,[],[f10358]) ).
fof(f15087,plain,
! [X3,X0,X4,X5] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X4,u1_struct_0(X0))
| ~ m1_subset_1(X5,u1_struct_0(X0))
| ~ m1_filter_0(X3,X0)
| ~ m1_subset_1(X4,u1_struct_0(k8_filter_0(X0,X3)))
| ~ m1_subset_1(X5,u1_struct_0(k8_filter_0(X0,X3)))
| ~ r3_lattices(X0,X4,X5)
| r3_lattices(k8_filter_0(X0,X3),X4,X5) ),
inference(equality_resolution,[],[f15086]) ).
fof(f15088,plain,
! [X2,X3,X0,X4,X5] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X4,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_filter_0(X3,X0)
| ~ m1_subset_1(X4,u1_struct_0(k8_filter_0(X0,X3)))
| ~ m1_subset_1(X5,u1_struct_0(k8_filter_0(X0,X3)))
| X2 != X5
| k3_lattices(X0,X4,X2) = k3_lattices(k8_filter_0(X0,X3),X4,X5) ),
inference(equality_resolution,[],[f10361]) ).
fof(f15089,plain,
! [X3,X0,X4,X5] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X4,u1_struct_0(X0))
| ~ m1_subset_1(X5,u1_struct_0(X0))
| ~ m1_filter_0(X3,X0)
| ~ m1_subset_1(X4,u1_struct_0(k8_filter_0(X0,X3)))
| ~ m1_subset_1(X5,u1_struct_0(k8_filter_0(X0,X3)))
| k3_lattices(k8_filter_0(X0,X3),X4,X5) = k3_lattices(X0,X4,X5) ),
inference(equality_resolution,[],[f15088]) ).
fof(f15090,plain,
! [X2,X3,X0,X4,X5] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X4,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_filter_0(X3,X0)
| ~ m1_subset_1(X4,u1_struct_0(k8_filter_0(X0,X3)))
| ~ m1_subset_1(X5,u1_struct_0(k8_filter_0(X0,X3)))
| X2 != X5
| k4_lattices(X0,X4,X2) = k4_lattices(k8_filter_0(X0,X3),X4,X5) ),
inference(equality_resolution,[],[f10360]) ).
fof(f15091,plain,
! [X3,X0,X4,X5] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X4,u1_struct_0(X0))
| ~ m1_subset_1(X5,u1_struct_0(X0))
| ~ m1_filter_0(X3,X0)
| ~ m1_subset_1(X4,u1_struct_0(k8_filter_0(X0,X3)))
| ~ m1_subset_1(X5,u1_struct_0(k8_filter_0(X0,X3)))
| k4_lattices(X0,X4,X5) = k4_lattices(k8_filter_0(X0,X3),X4,X5) ),
inference(equality_resolution,[],[f15090]) ).
fof(f15092,plain,
! [X2,X1] :
( ~ sP1(k8_filter_0(X1,X2),X1,X2)
| sP0(X2,X1,k8_filter_0(X1,X2)) ),
inference(equality_resolution,[],[f10365]) ).
fof(f15098,plain,
! [X3,X0,X1] :
( ~ l1_pre_topc(X0)
| ~ m1_pre_topc(X1,X0)
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0)))
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1)))
| k6_pre_topc(X1,X3) = k4_xboole_0(k6_pre_topc(X0,X3),k4_xboole_0(k6_pre_topc(X0,X3),k2_pre_topc(X1))) ),
inference(equality_resolution,[],[f14132]) ).
fof(f15099,plain,
! [X3,X0,X1] :
( ~ l1_pre_topc(X0)
| ~ m1_pre_topc(X1,X0)
| ~ m1_subset_1(k4_xboole_0(X3,k4_xboole_0(X3,k2_pre_topc(X1))),k1_zfmisc_1(u1_struct_0(X1)))
| ~ v4_pre_topc(X3,X0)
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0)))
| v4_pre_topc(k4_xboole_0(X3,k4_xboole_0(X3,k2_pre_topc(X1))),X1) ),
inference(equality_resolution,[],[f14133]) ).
fof(f15100,plain,
! [X3,X0,X1] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ~ v1_funct_1(k3_tarski(k2_tarski(X0,X1)))
| ~ v1_relat_1(k3_tarski(k2_tarski(X0,X1)))
| ~ r2_hidden(X3,k4_xboole_0(k1_relat_1(X0),k4_xboole_0(k1_relat_1(X0),k1_relat_1(X1))))
| k1_funct_1(X0,X3) = k1_funct_1(X1,X3) ),
inference(equality_resolution,[],[f14139]) ).
fof(f15101,plain,
! [X0,X1,X4] :
( ~ r2_hidden(X4,X1)
| ~ r2_hidden(X4,X0)
| r2_hidden(X4,k4_xboole_0(X0,k4_xboole_0(X0,X1))) ),
inference(equality_resolution,[],[f14195]) ).
fof(f15103,plain,
! [X0,X1,X4] :
( ~ r2_hidden(X4,k4_xboole_0(X0,k4_xboole_0(X0,X1)))
| r2_hidden(X4,X1) ),
inference(equality_resolution,[],[f14197]) ).
fof(f15104,plain,
! [X0,X1,X4] :
( ~ r2_hidden(X4,X0)
| r2_hidden(X4,k3_tarski(k2_tarski(X0,X1))) ),
inference(equality_resolution,[],[f14243]) ).
fof(f15105,plain,
! [X0,X1,X4] :
( ~ r2_hidden(X4,X1)
| r2_hidden(X4,k3_tarski(k2_tarski(X0,X1))) ),
inference(equality_resolution,[],[f14244]) ).
fof(f15106,plain,
! [X0,X1,X4] :
( ~ r2_hidden(X4,k3_tarski(k2_tarski(X0,X1)))
| r2_hidden(X4,X1)
| r2_hidden(X4,X0) ),
inference(equality_resolution,[],[f14245]) ).
fof(f15108,plain,
! [X2,X3,X1] :
( ~ m2_relset_1(X3,np__0,X1)
| ~ v1_funct_2(X3,np__0,X1)
| ~ v1_funct_1(X3)
| ~ r1_tarski(X1,X2)
| v1_funct_2(X3,np__0,X2) ),
inference(equality_resolution,[],[f14252]) ).
fof(f15109,plain,
! [X2,X3,X1] :
( ~ m2_relset_1(X3,np__0,X1)
| ~ v1_funct_2(X3,np__0,X1)
| ~ v1_funct_1(X3)
| ~ r1_tarski(X1,X2)
| m2_relset_1(X3,np__0,X2) ),
inference(equality_resolution,[],[f14253]) ).
fof(f15110,plain,
! [X3,X0] :
( ~ r1_tarski(X3,X0)
| r2_hidden(X3,k1_zfmisc_1(X0)) ),
inference(equality_resolution,[],[f10747]) ).
fof(f15111,plain,
! [X3,X0] :
( ~ r2_hidden(X3,k1_zfmisc_1(X0))
| r1_tarski(X3,X0) ),
inference(equality_resolution,[],[f10746]) ).
fof(f15115,plain,
! [X1] : np__0 = k2_zfmisc_1(np__0,X1),
inference(equality_resolution,[],[f14272]) ).
fof(f15116,plain,
! [X0] : np__0 = k2_zfmisc_1(X0,np__0),
inference(equality_resolution,[],[f14273]) ).
fof(f15117,plain,
! [X2,X3,X0] :
( ~ m2_relset_1(X3,X0,k2_relat_1(X3))
| ~ v1_funct_2(X3,X0,k2_relat_1(X3))
| ~ v1_funct_1(X3)
| r2_hidden(sK103(X0,X2,X3),X0)
| ~ r2_hidden(X2,k2_relat_1(X3)) ),
inference(equality_resolution,[],[f10834]) ).
fof(f15118,plain,
! [X2,X3,X0] :
( ~ m2_relset_1(X3,X0,k2_relat_1(X3))
| ~ v1_funct_2(X3,X0,k2_relat_1(X3))
| ~ v1_funct_1(X3)
| k1_funct_1(X3,sK103(X0,X2,X3)) = X2
| ~ r2_hidden(X2,k2_relat_1(X3)) ),
inference(equality_resolution,[],[f10833]) ).
fof(f15121,plain,
! [X2,X1] :
( ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| ~ r2_hidden(k1_funct_1(X2,sK105(k1_relat_1(X2),X1,X2)),X1)
| v1_funct_2(X2,k1_relat_1(X2),X1) ),
inference(equality_resolution,[],[f10842]) ).
fof(f15122,plain,
! [X2,X1] :
( ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| r2_hidden(sK105(k1_relat_1(X2),X1,X2),k1_relat_1(X2))
| v1_funct_2(X2,k1_relat_1(X2),X1) ),
inference(equality_resolution,[],[f10841]) ).
fof(f15123,plain,
! [X2,X1] :
( ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| ~ r2_hidden(k1_funct_1(X2,sK105(k1_relat_1(X2),X1,X2)),X1)
| m2_relset_1(X2,k1_relat_1(X2),X1) ),
inference(equality_resolution,[],[f10840]) ).
fof(f15124,plain,
! [X2,X1] :
( ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| r2_hidden(sK105(k1_relat_1(X2),X1,X2),k1_relat_1(X2))
| m2_relset_1(X2,k1_relat_1(X2),X1) ),
inference(equality_resolution,[],[f10839]) ).
fof(f15125,plain,
! [X0,X1,X6] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| k2_relat_1(X0) != X1
| ~ r2_hidden(X6,k1_relat_1(X0))
| r2_hidden(k1_funct_1(X0,X6),X1) ),
inference(equality_resolution,[],[f10850]) ).
fof(f15126,plain,
! [X0,X6] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ~ r2_hidden(X6,k1_relat_1(X0))
| r2_hidden(k1_funct_1(X0,X6),k2_relat_1(X0)) ),
inference(equality_resolution,[],[f15125]) ).
fof(f15127,plain,
! [X0,X5] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ~ r2_hidden(X5,k2_relat_1(X0))
| r2_hidden(sK109(X0,X5),k1_relat_1(X0)) ),
inference(equality_resolution,[],[f10849]) ).
fof(f15128,plain,
! [X0,X5] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ~ r2_hidden(X5,k2_relat_1(X0))
| k1_funct_1(X0,sK109(X0,X5)) = X5 ),
inference(equality_resolution,[],[f10848]) ).
fof(f15129,plain,
! [X2,X0] :
( ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| ~ r2_hidden(X0,k1_relat_1(X2))
| r2_hidden(k2_tarski(k2_tarski(X0,k1_funct_1(X2,X0)),k2_enumset1(X0,X0,X0,X0)),X2) ),
inference(equality_resolution,[],[f14283]) ).
fof(f15132,plain,
! [X0,X1] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| r2_hidden(X1,k1_relat_1(X0))
| k1_funct_1(X0,X1) = np__0 ),
inference(equality_resolution,[],[f14289]) ).
fof(f15133,plain,
! [X2] : ~ r2_hidden(X2,np__0),
inference(equality_resolution,[],[f14315]) ).
fof(f15135,plain,
! [X2,X3,X1] :
( ~ m2_relset_1(X3,np__0,X1)
| ~ v1_funct_2(X3,np__0,X1)
| ~ v1_funct_1(X3)
| ~ r1_tarski(k2_relat_1(X3),X2)
| v1_funct_2(X3,np__0,X2) ),
inference(equality_resolution,[],[f14320]) ).
fof(f15136,plain,
! [X2,X3,X1] :
( ~ m2_relset_1(X3,np__0,X1)
| ~ v1_funct_2(X3,np__0,X1)
| ~ v1_funct_1(X3)
| ~ r1_tarski(k2_relat_1(X3),X2)
| m2_relset_1(X3,np__0,X2) ),
inference(equality_resolution,[],[f14321]) ).
fof(f15137,plain,
! [X0] : np__0 = k1_relat_1(sK115(X0,np__0)),
inference(equality_resolution,[],[f14329]) ).
fof(f15138,plain,
! [X0] : r1_tarski(k2_relat_1(sK115(X0,np__0)),X0),
inference(equality_resolution,[],[f14330]) ).
fof(f15139,plain,
! [X0] : v1_relat_1(sK115(X0,np__0)),
inference(equality_resolution,[],[f14331]) ).
fof(f15140,plain,
! [X0] : v1_funct_1(sK115(X0,np__0)),
inference(equality_resolution,[],[f14332]) ).
fof(f15142,plain,
! [X0,X5] :
( ~ v1_relat_1(X0)
| ~ r2_hidden(X5,k2_relat_1(X0))
| r2_hidden(k2_tarski(k2_tarski(sK120(X0,X5),X5),k2_enumset1(sK120(X0,X5),sK120(X0,X5),sK120(X0,X5),sK120(X0,X5))),X0) ),
inference(equality_resolution,[],[f14344]) ).
fof(f15143,plain,
! [X0,X6,X5] :
( ~ v1_relat_1(X0)
| ~ r2_hidden(k2_tarski(k2_tarski(X5,X6),k2_enumset1(X5,X5,X5,X5)),X0)
| r2_hidden(X5,k1_relat_1(X0)) ),
inference(equality_resolution,[],[f14361]) ).
fof(f15144,plain,
! [X0,X5] :
( ~ v1_relat_1(X0)
| ~ r2_hidden(X5,k1_relat_1(X0))
| r2_hidden(k2_tarski(k2_tarski(X5,sK141(X0,X5)),k2_enumset1(X5,X5,X5,X5)),X0) ),
inference(equality_resolution,[],[f14362]) ).
fof(f15149,plain,
! [X0,X1,X8] :
( ~ r2_hidden(X8,k2_zfmisc_1(X0,X1))
| r2_hidden(sK169(X0,X1,X8),X0) ),
inference(equality_resolution,[],[f11018]) ).
fof(f15150,plain,
! [X0,X1,X8] :
( ~ r2_hidden(X8,k2_zfmisc_1(X0,X1))
| r2_hidden(sK170(X0,X1,X8),X1) ),
inference(equality_resolution,[],[f11017]) ).
fof(f15151,plain,
! [X0,X1,X8] :
( ~ r2_hidden(X8,k2_zfmisc_1(X0,X1))
| k2_tarski(k2_tarski(sK169(X0,X1,X8),sK170(X0,X1,X8)),k2_enumset1(sK169(X0,X1,X8),sK169(X0,X1,X8),sK169(X0,X1,X8),sK169(X0,X1,X8))) = X8 ),
inference(equality_resolution,[],[f14401]) ).
fof(f15152,plain,
! [X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v1_xboole_0(X1)
| ~ m1_filter_0(k3_filter_0(X0,X1),X0)
| r1_tarski(X1,k3_filter_0(X0,X1)) ),
inference(equality_resolution,[],[f11313]) ).
fof(f15153,plain,
! [X0,X1,X4] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v1_xboole_0(X1)
| ~ m1_filter_0(k3_filter_0(X0,X1),X0)
| ~ m1_filter_0(X4,X0)
| ~ r1_tarski(X1,X4)
| r1_tarski(k3_filter_0(X0,X1),X4) ),
inference(equality_resolution,[],[f11312]) ).
fof(f15154,plain,
! [X2,X3,X0,X4] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X3,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X3,u1_struct_0(k1_lattice2(X0)))
| ~ m1_subset_1(X4,u1_struct_0(k1_lattice2(X0)))
| X2 != X4
| ~ r3_lattices(k1_lattice2(X0),X3,X4)
| r3_lattices(X0,X2,X3) ),
inference(equality_resolution,[],[f11333]) ).
fof(f15155,plain,
! [X3,X0,X4] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X3,u1_struct_0(X0))
| ~ m1_subset_1(X4,u1_struct_0(X0))
| ~ m1_subset_1(X3,u1_struct_0(k1_lattice2(X0)))
| ~ m1_subset_1(X4,u1_struct_0(k1_lattice2(X0)))
| ~ r3_lattices(k1_lattice2(X0),X3,X4)
| r3_lattices(X0,X4,X3) ),
inference(equality_resolution,[],[f15154]) ).
fof(f15156,plain,
! [X2,X3,X0,X4] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X3,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ r3_lattices(X0,X3,X2)
| ~ m1_subset_1(X3,u1_struct_0(k1_lattice2(X0)))
| ~ m1_subset_1(X4,u1_struct_0(k1_lattice2(X0)))
| X2 != X4
| r3_lattices(k1_lattice2(X0),X4,X3) ),
inference(equality_resolution,[],[f11334]) ).
fof(f15157,plain,
! [X3,X0,X4] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X3,u1_struct_0(X0))
| ~ m1_subset_1(X4,u1_struct_0(X0))
| ~ r3_lattices(X0,X3,X4)
| ~ m1_subset_1(X3,u1_struct_0(k1_lattice2(X0)))
| ~ m1_subset_1(X4,u1_struct_0(k1_lattice2(X0)))
| r3_lattices(k1_lattice2(X0),X4,X3) ),
inference(equality_resolution,[],[f15156]) ).
fof(f15158,plain,
! [X2,X3,X0,X4] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X3,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X3,u1_struct_0(k1_lattice2(X0)))
| ~ m1_subset_1(X4,u1_struct_0(k1_lattice2(X0)))
| X2 != X4
| k3_lattices(k1_lattice2(X0),X3,X4) = k4_lattices(X0,X3,X2) ),
inference(equality_resolution,[],[f11336]) ).
fof(f15159,plain,
! [X3,X0,X4] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X3,u1_struct_0(X0))
| ~ m1_subset_1(X4,u1_struct_0(X0))
| ~ m1_subset_1(X3,u1_struct_0(k1_lattice2(X0)))
| ~ m1_subset_1(X4,u1_struct_0(k1_lattice2(X0)))
| k3_lattices(k1_lattice2(X0),X3,X4) = k4_lattices(X0,X3,X4) ),
inference(equality_resolution,[],[f15158]) ).
fof(f15160,plain,
! [X2,X3,X0,X4] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X3,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X3,u1_struct_0(k1_lattice2(X0)))
| ~ m1_subset_1(X4,u1_struct_0(k1_lattice2(X0)))
| X2 != X4
| k3_lattices(X0,X3,X2) = k4_lattices(k1_lattice2(X0),X3,X4) ),
inference(equality_resolution,[],[f11335]) ).
fof(f15161,plain,
! [X3,X0,X4] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X3,u1_struct_0(X0))
| ~ m1_subset_1(X4,u1_struct_0(X0))
| ~ m1_subset_1(X3,u1_struct_0(k1_lattice2(X0)))
| ~ m1_subset_1(X4,u1_struct_0(k1_lattice2(X0)))
| k4_lattices(k1_lattice2(X0),X3,X4) = k3_lattices(X0,X3,X4) ),
inference(equality_resolution,[],[f15160]) ).
fof(f15165,plain,
! [X2,X0] :
( ~ m2_relset_1(X2,X0,np__0)
| ~ v1_funct_1(X2)
| ~ v1_partfun1(X2,X0,np__0)
| np__0 = X0 ),
inference(equality_resolution,[],[f14416]) ).
fof(f15166,plain,
! [X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_filter_0(X1,X0)
| ~ v1_relat_1(k10_filter_0(X0,X1))
| r1_tarski(k3_relat_1(k10_filter_0(X0,X1)),u1_struct_0(X0)) ),
inference(equality_resolution,[],[f11385]) ).
fof(f15167,plain,
! [X0,X1,X6,X5] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_filter_0(X1,X0)
| ~ v1_relat_1(k10_filter_0(X0,X1))
| ~ m1_subset_1(X5,u1_struct_0(X0))
| ~ m1_subset_1(X6,u1_struct_0(X0))
| ~ r2_hidden(k9_filter_0(X0,X5,X6),X1)
| r2_hidden(k1_domain_1(u1_struct_0(X0),u1_struct_0(X0),X5,X6),k10_filter_0(X0,X1)) ),
inference(equality_resolution,[],[f11384]) ).
fof(f15168,plain,
! [X0,X1,X6,X5] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_filter_0(X1,X0)
| ~ v1_relat_1(k10_filter_0(X0,X1))
| ~ m1_subset_1(X5,u1_struct_0(X0))
| ~ m1_subset_1(X6,u1_struct_0(X0))
| ~ r2_hidden(k1_domain_1(u1_struct_0(X0),u1_struct_0(X0),X5,X6),k10_filter_0(X0,X1))
| r2_hidden(k9_filter_0(X0,X5,X6),X1) ),
inference(equality_resolution,[],[f11383]) ).
fof(f15169,plain,
! [X2,X10,X0,X11,X1,X8,X9] :
( v1_xboole_0(X0)
| ~ m2_relset_1(X1,X0,X0)
| ~ v1_partfun1(X1,X0,X0)
| ~ v8_relat_2(X1)
| ~ v3_relat_2(X1)
| ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ m2_filter_1(X2,X0,X1)
| ~ m2_relset_1(k4_filter_1(X0,X1,X2),k2_zfmisc_1(k8_eqrel_1(X0,X1),k8_eqrel_1(X0,X1)),k8_eqrel_1(X0,X1))
| ~ v1_funct_2(k4_filter_1(X0,X1,X2),k2_zfmisc_1(k8_eqrel_1(X0,X1),k8_eqrel_1(X0,X1)),k8_eqrel_1(X0,X1))
| ~ v1_funct_1(k4_filter_1(X0,X1,X2))
| ~ r2_hidden(X11,X9)
| ~ r2_hidden(X10,X8)
| ~ r2_hidden(X9,k8_eqrel_1(X0,X1))
| ~ r2_hidden(X8,k8_eqrel_1(X0,X1))
| k6_eqrel_1(X0,X1,k1_binop_1(X2,X10,X11)) = k1_binop_1(k4_filter_1(X0,X1,X2),X8,X9) ),
inference(equality_resolution,[],[f11398]) ).
fof(f15170,plain,
! [X2,X1] :
( ~ sP17(k6_pre_topc(X2,X1),X1,X2)
| sP16(X2,X1,k6_pre_topc(X2,X1)) ),
inference(equality_resolution,[],[f11450]) ).
fof(f15171,plain,
! [X2,X0,X1] :
( v1_xboole_0(X0)
| ~ m1_eqrel_1(X1,X0)
| ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| ~ m1_subset_1(k3_tarski(X2),k1_zfmisc_1(X0))
| k3_tarski(k3_subset_1(X1,X2)) = k3_subset_1(X0,k3_tarski(X2)) ),
inference(equality_resolution,[],[f11502]) ).
fof(f15180,plain,
! [X2,X1] : ~ r2_hidden(X2,k4_xboole_0(X1,k2_enumset1(X2,X2,X2,X2))),
inference(equality_resolution,[],[f14515]) ).
fof(f15181,plain,
! [X1] : k2_enumset1(X1,X1,X1,X1) != k4_xboole_0(k2_enumset1(X1,X1,X1,X1),k2_enumset1(X1,X1,X1,X1)),
inference(equality_resolution,[],[f14519]) ).
fof(f15182,plain,
! [X0,X1,X4] :
( r2_hidden(X4,X1)
| ~ r2_hidden(X4,X0)
| r2_hidden(X4,k4_xboole_0(X0,X1)) ),
inference(equality_resolution,[],[f11957]) ).
fof(f15183,plain,
! [X0,X1,X4] :
( ~ r2_hidden(X4,k4_xboole_0(X0,X1))
| r2_hidden(X4,X0) ),
inference(equality_resolution,[],[f11956]) ).
fof(f15184,plain,
! [X0,X1,X4] :
( ~ r2_hidden(X4,k4_xboole_0(X0,X1))
| ~ r2_hidden(X4,X1) ),
inference(equality_resolution,[],[f11955]) ).
fof(f15185,plain,
! [X2,X3,X1] :
( ~ l3_lattices(X1)
| v3_realset2(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ r2_hidden(X2,X3)
| ~ v1_filter_0(X3,X1)
| ~ m1_filter_0(X3,X1)
| r2_hidden(X3,k1_funct_1(k8_lopclset(X1),X2)) ),
inference(equality_resolution,[],[f11980]) ).
fof(f15186,plain,
! [X2,X1] :
( ~ l3_lattices(X1)
| v3_realset2(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| r2_hidden(k8_funct_2(u1_struct_0(X1),k1_zfmisc_1(k7_lopclset(X1)),k9_lopclset(X1),X2),k10_lopclset(X1)) ),
inference(equality_resolution,[],[f11989]) ).
fof(f15189,plain,
! [X3,X0,X1] :
( ~ m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| ~ r3_binop_1(X0,X3,X1)
| ~ m1_subset_1(X3,X0)
| ~ m1_subset_1(k3_binop_1(X0,X1),X0)
| r3_binop_1(X0,k3_binop_1(X0,X1),X1) ),
inference(equality_resolution,[],[f12070]) ).
fof(f15190,plain,
! [X2,X0,X1,X4,X5] :
( ~ sP22(X0,X1,X2,k7_setwiseo(X4,X5,X1,X2,X0),X4,X5)
| sP21(X5,X4,k7_setwiseo(X4,X5,X1,X2,X0),X2,X1,X0) ),
inference(equality_resolution,[],[f12077]) ).
fof(f15191,plain,
! [X3,X0,X1,X6,X4,X5] :
( ~ sP20(X5,X0,X1,X6,X4,X3)
| k8_funct_2(X1,X0,X5,sK283(X0,X1,X5,X6)) != k8_funct_2(k5_finsub_1(X1),X0,X6,k2_setwiseo(X1,sK283(X0,X1,X5,X6)))
| sK282(X0,X4,X6) != k1_funct_1(X6,np__0)
| ~ m2_relset_1(X6,k5_finsub_1(X1),X0)
| ~ v1_funct_2(X6,k5_finsub_1(X1),X0)
| ~ v1_funct_1(X6)
| sP21(X0,X1,k8_funct_2(k5_finsub_1(X1),X0,X6,X3),X3,X4,X5) ),
inference(equality_resolution,[],[f14527]) ).
fof(f15192,plain,
! [X3,X0,X1,X6,X4,X5] :
( ~ sP20(X5,X0,X1,X6,X4,X3)
| m1_subset_1(sK283(X0,X1,X5,X6),X1)
| sK282(X0,X4,X6) != k1_funct_1(X6,np__0)
| ~ m2_relset_1(X6,k5_finsub_1(X1),X0)
| ~ v1_funct_2(X6,k5_finsub_1(X1),X0)
| ~ v1_funct_1(X6)
| sP21(X0,X1,k8_funct_2(k5_finsub_1(X1),X0,X6,X3),X3,X4,X5) ),
inference(equality_resolution,[],[f14528]) ).
fof(f15193,plain,
! [X3,X0,X1,X6,X4,X5] :
( ~ sP20(X5,X0,X1,X6,X4,X3)
| k8_funct_2(X1,X0,X5,sK283(X0,X1,X5,X6)) != k8_funct_2(k5_finsub_1(X1),X0,X6,k2_setwiseo(X1,sK283(X0,X1,X5,X6)))
| r3_binop_1(X0,sK282(X0,X4,X6),X4)
| ~ m2_relset_1(X6,k5_finsub_1(X1),X0)
| ~ v1_funct_2(X6,k5_finsub_1(X1),X0)
| ~ v1_funct_1(X6)
| sP21(X0,X1,k8_funct_2(k5_finsub_1(X1),X0,X6,X3),X3,X4,X5) ),
inference(equality_resolution,[],[f12089]) ).
fof(f15194,plain,
! [X3,X0,X1,X6,X4,X5] :
( ~ sP20(X5,X0,X1,X6,X4,X3)
| m1_subset_1(sK283(X0,X1,X5,X6),X1)
| r3_binop_1(X0,sK282(X0,X4,X6),X4)
| ~ m2_relset_1(X6,k5_finsub_1(X1),X0)
| ~ v1_funct_2(X6,k5_finsub_1(X1),X0)
| ~ v1_funct_1(X6)
| sP21(X0,X1,k8_funct_2(k5_finsub_1(X1),X0,X6,X3),X3,X4,X5) ),
inference(equality_resolution,[],[f12088]) ).
fof(f15195,plain,
! [X3,X0,X1,X6,X4,X5] :
( ~ sP20(X5,X0,X1,X6,X4,X3)
| k8_funct_2(X1,X0,X5,sK283(X0,X1,X5,X6)) != k8_funct_2(k5_finsub_1(X1),X0,X6,k2_setwiseo(X1,sK283(X0,X1,X5,X6)))
| m1_subset_1(sK282(X0,X4,X6),X0)
| ~ m2_relset_1(X6,k5_finsub_1(X1),X0)
| ~ v1_funct_2(X6,k5_finsub_1(X1),X0)
| ~ v1_funct_1(X6)
| sP21(X0,X1,k8_funct_2(k5_finsub_1(X1),X0,X6,X3),X3,X4,X5) ),
inference(equality_resolution,[],[f12087]) ).
fof(f15196,plain,
! [X3,X0,X1,X6,X4,X5] :
( ~ sP20(X5,X0,X1,X6,X4,X3)
| m1_subset_1(sK283(X0,X1,X5,X6),X1)
| m1_subset_1(sK282(X0,X4,X6),X0)
| ~ m2_relset_1(X6,k5_finsub_1(X1),X0)
| ~ v1_funct_2(X6,k5_finsub_1(X1),X0)
| ~ v1_funct_1(X6)
| sP21(X0,X1,k8_funct_2(k5_finsub_1(X1),X0,X6,X3),X3,X4,X5) ),
inference(equality_resolution,[],[f12086]) ).
fof(f15197,plain,
! [X3,X0] :
( ~ l1_lattices(X0)
| v3_struct_0(X0)
| ~ v13_lattices(X0)
| ~ m1_subset_1(k5_lattices(X0),u1_struct_0(X0))
| ~ m1_subset_1(X3,u1_struct_0(X0))
| k5_lattices(X0) = k2_lattices(X0,k5_lattices(X0),X3) ),
inference(equality_resolution,[],[f12150]) ).
fof(f15198,plain,
! [X3,X0] :
( ~ l1_lattices(X0)
| v3_struct_0(X0)
| ~ v13_lattices(X0)
| ~ m1_subset_1(k5_lattices(X0),u1_struct_0(X0))
| ~ m1_subset_1(X3,u1_struct_0(X0))
| k5_lattices(X0) = k2_lattices(X0,X3,k5_lattices(X0)) ),
inference(equality_resolution,[],[f12149]) ).
fof(f15199,plain,
! [X1] : v1_realset1(k2_enumset1(X1,X1,X1,X1)),
inference(equality_resolution,[],[f14548]) ).
fof(f15202,plain,
! [X0,X1,X6,X5] :
( ~ v1_relat_1(X0)
| ~ v1_relat_1(k7_relat_1(X0,X1))
| ~ r2_hidden(k2_tarski(k2_tarski(X5,X6),k2_enumset1(X5,X5,X5,X5)),X0)
| ~ r2_hidden(X5,X1)
| r2_hidden(k2_tarski(k2_tarski(X5,X6),k2_enumset1(X5,X5,X5,X5)),k7_relat_1(X0,X1)) ),
inference(equality_resolution,[],[f14575]) ).
fof(f15203,plain,
! [X0,X1,X6,X5] :
( ~ v1_relat_1(X0)
| ~ v1_relat_1(k7_relat_1(X0,X1))
| ~ r2_hidden(k2_tarski(k2_tarski(X5,X6),k2_enumset1(X5,X5,X5,X5)),k7_relat_1(X0,X1))
| r2_hidden(X5,X1) ),
inference(equality_resolution,[],[f14576]) ).
fof(f15204,plain,
! [X0,X1,X6,X5] :
( ~ v1_relat_1(X0)
| ~ v1_relat_1(k7_relat_1(X0,X1))
| ~ r2_hidden(k2_tarski(k2_tarski(X5,X6),k2_enumset1(X5,X5,X5,X5)),k7_relat_1(X0,X1))
| r2_hidden(k2_tarski(k2_tarski(X5,X6),k2_enumset1(X5,X5,X5,X5)),X0) ),
inference(equality_resolution,[],[f14577]) ).
fof(f15205,plain,
! [X2,X1] :
( ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| k5_relat_1(X2,X1) != X1
| ~ v2_funct_1(X1)
| ~ r1_tarski(k2_relat_1(X2),k1_relat_1(X1))
| k1_relat_1(X1) != k1_relat_1(X2)
| k6_partfun1(k1_relat_1(X1)) = X2 ),
inference(equality_resolution,[],[f14615]) ).
fof(f15206,plain,
! [X1] :
( ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| sK341(k1_relat_1(X1),X1) != k1_funct_1(X1,sK341(k1_relat_1(X1),X1))
| k6_partfun1(k1_relat_1(X1)) = X1 ),
inference(equality_resolution,[],[f14626]) ).
fof(f15207,plain,
! [X1] :
( ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| r2_hidden(sK341(k1_relat_1(X1),X1),k1_relat_1(X1))
| k6_partfun1(k1_relat_1(X1)) = X1 ),
inference(equality_resolution,[],[f14627]) ).
fof(f15210,plain,
! [X2,X3,X1] :
( ~ v1_relat_1(X1)
| ~ v1_relat_1(X2)
| ~ v1_relat_1(X3)
| k5_relat_1(X1,X3) != k6_partfun1(k1_relat_1(X1))
| k5_relat_1(X2,X1) != k6_partfun1(k1_relat_1(X3))
| ~ r1_tarski(k2_relat_1(X2),k1_relat_1(X1))
| X2 = X3 ),
inference(equality_resolution,[],[f14635]) ).
fof(f15211,plain,
! [X0,X1,X5] :
( ~ v1_relat_1(X1)
| k6_partfun1(X0) != X1
| ~ r2_hidden(X5,X0)
| r2_hidden(k2_tarski(k2_tarski(X5,X5),k2_enumset1(X5,X5,X5,X5)),X1) ),
inference(equality_resolution,[],[f14656]) ).
fof(f15212,plain,
! [X0,X5] :
( ~ v1_relat_1(k6_partfun1(X0))
| ~ r2_hidden(X5,X0)
| r2_hidden(k2_tarski(k2_tarski(X5,X5),k2_enumset1(X5,X5,X5,X5)),k6_partfun1(X0)) ),
inference(equality_resolution,[],[f15211]) ).
fof(f15213,plain,
! [X0,X4,X5] :
( ~ v1_relat_1(k6_partfun1(X0))
| ~ r2_hidden(k2_tarski(k2_tarski(X4,X5),k2_enumset1(X4,X4,X4,X4)),k6_partfun1(X0))
| r2_hidden(X4,X0) ),
inference(equality_resolution,[],[f14657]) ).
fof(f15214,plain,
! [X0,X4,X5] :
( ~ v1_relat_1(k6_partfun1(X0))
| ~ r2_hidden(k2_tarski(k2_tarski(X4,X5),k2_enumset1(X4,X4,X4,X4)),k6_partfun1(X0))
| X4 = X5 ),
inference(equality_resolution,[],[f14658]) ).
fof(f15215,plain,
! [X2,X3,X1] :
( ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| ~ v1_funct_1(X3)
| ~ v1_relat_1(X3)
| k5_relat_1(X1,X2) != k5_relat_1(X1,X3)
| k2_relat_1(X1) != k1_relat_1(X3)
| k2_relat_1(X1) != k1_relat_1(X2)
| X2 = X3 ),
inference(equality_resolution,[],[f12437]) ).
fof(f15216,plain,
! [X0,X1,X8,X9,X7] :
( ~ v1_relat_1(X0)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(k5_relat_1(X0,X1))
| ~ r2_hidden(k2_tarski(k2_tarski(X9,X8),k2_enumset1(X9,X9,X9,X9)),X1)
| ~ r2_hidden(k2_tarski(k2_tarski(X7,X9),k2_enumset1(X7,X7,X7,X7)),X0)
| r2_hidden(k2_tarski(k2_tarski(X7,X8),k2_enumset1(X7,X7,X7,X7)),k5_relat_1(X0,X1)) ),
inference(equality_resolution,[],[f14668]) ).
fof(f15217,plain,
! [X0,X1,X8,X7] :
( ~ v1_relat_1(X0)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(k5_relat_1(X0,X1))
| ~ r2_hidden(k2_tarski(k2_tarski(X7,X8),k2_enumset1(X7,X7,X7,X7)),k5_relat_1(X0,X1))
| r2_hidden(k2_tarski(k2_tarski(X7,sK354(X0,X1,X7,X8)),k2_enumset1(X7,X7,X7,X7)),X0) ),
inference(equality_resolution,[],[f14669]) ).
fof(f15218,plain,
! [X0,X1,X8,X7] :
( ~ v1_relat_1(X0)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(k5_relat_1(X0,X1))
| ~ r2_hidden(k2_tarski(k2_tarski(X7,X8),k2_enumset1(X7,X7,X7,X7)),k5_relat_1(X0,X1))
| r2_hidden(k2_tarski(k2_tarski(sK354(X0,X1,X7,X8),X8),k2_enumset1(sK354(X0,X1,X7,X8),sK354(X0,X1,X7,X8),sK354(X0,X1,X7,X8),sK354(X0,X1,X7,X8))),X1) ),
inference(equality_resolution,[],[f14670]) ).
fof(f15221,plain,
! [X1] :
( ~ m2_relset_1(X1,k3_relat_1(X1),k3_relat_1(X1))
| ~ v8_relat_2(X1)
| ~ v3_relat_2(X1)
| ~ v1_relat_2(X1)
| v1_partfun1(X1,k3_relat_1(X1),k3_relat_1(X1)) ),
inference(equality_resolution,[],[f12515]) ).
fof(f15223,plain,
! [X0,X1] :
( ~ v1_relat_1(k2_enumset1(k2_tarski(k2_tarski(X0,X1),k2_enumset1(X0,X0,X0,X0)),k2_tarski(k2_tarski(X0,X1),k2_enumset1(X0,X0,X0,X0)),k2_tarski(k2_tarski(X0,X1),k2_enumset1(X0,X0,X0,X0)),k2_tarski(k2_tarski(X0,X1),k2_enumset1(X0,X0,X0,X0))))
| k2_tarski(X0,X1) = k3_relat_1(k2_enumset1(k2_tarski(k2_tarski(X0,X1),k2_enumset1(X0,X0,X0,X0)),k2_tarski(k2_tarski(X0,X1),k2_enumset1(X0,X0,X0,X0)),k2_tarski(k2_tarski(X0,X1),k2_enumset1(X0,X0,X0,X0)),k2_tarski(k2_tarski(X0,X1),k2_enumset1(X0,X0,X0,X0)))) ),
inference(equality_resolution,[],[f14676]) ).
fof(f15224,plain,
! [X1] : ~ r1_xboole_0(k2_enumset1(X1,X1,X1,X1),k2_enumset1(X1,X1,X1,X1)),
inference(equality_resolution,[],[f14715]) ).
fof(f15226,plain,
! [X0,X6,X5] :
( ~ r2_hidden(X6,X0)
| ~ r2_hidden(X5,X6)
| r2_hidden(X5,k3_tarski(X0)) ),
inference(equality_resolution,[],[f12741]) ).
fof(f15227,plain,
! [X0,X5] :
( ~ r2_hidden(X5,k3_tarski(X0))
| r2_hidden(X5,sK399(X0,X5)) ),
inference(equality_resolution,[],[f12740]) ).
fof(f15228,plain,
! [X0,X5] :
( ~ r2_hidden(X5,k3_tarski(X0))
| r2_hidden(sK399(X0,X5),X0) ),
inference(equality_resolution,[],[f12739]) ).
fof(f15229,plain,
! [X0,X5] :
( np__0 = X0
| ~ r2_hidden(X5,sK404(X0,X5))
| r2_hidden(X5,k1_setfam_1(X0)) ),
inference(equality_resolution,[],[f14761]) ).
fof(f15230,plain,
! [X0,X5] :
( np__0 = X0
| r2_hidden(sK404(X0,X5),X0)
| r2_hidden(X5,k1_setfam_1(X0)) ),
inference(equality_resolution,[],[f14762]) ).
fof(f15231,plain,
! [X0,X7,X5] :
( np__0 = X0
| ~ r2_hidden(X5,k1_setfam_1(X0))
| ~ r2_hidden(X7,X0)
| r2_hidden(X5,X7) ),
inference(equality_resolution,[],[f14763]) ).
fof(f15234,plain,
! [X0] :
( np__0 != X0
| k1_setfam_1(X0) = np__0 ),
inference(equality_resolution,[],[f14765]) ).
fof(f15235,plain,
np__0 = k1_setfam_1(np__0),
inference(equality_resolution,[],[f15234]) ).
fof(f15242,plain,
! [X2,X0,X1,X5] :
( ~ r2_hidden(X5,k2_enumset1(X0,X0,X1,X2))
| X2 = X5
| X1 = X5
| X0 = X5 ),
inference(equality_resolution,[],[f14810]) ).
fof(f15243,plain,
! [X2,X3,X0,X1] :
( ~ v1_relat_1(k2_tarski(k2_tarski(k2_tarski(X0,X1),k2_enumset1(X0,X0,X0,X0)),k2_tarski(k2_tarski(X2,X3),k2_enumset1(X2,X2,X2,X2))))
| k2_tarski(X0,X2) = k1_relat_1(k2_tarski(k2_tarski(k2_tarski(X0,X1),k2_enumset1(X0,X0,X0,X0)),k2_tarski(k2_tarski(X2,X3),k2_enumset1(X2,X2,X2,X2)))) ),
inference(equality_resolution,[],[f14812]) ).
fof(f15244,plain,
! [X2,X3,X0,X1] :
( ~ v1_relat_1(k2_tarski(k2_tarski(k2_tarski(X0,X1),k2_enumset1(X0,X0,X0,X0)),k2_tarski(k2_tarski(X2,X3),k2_enumset1(X2,X2,X2,X2))))
| k2_tarski(X1,X3) = k2_relat_1(k2_tarski(k2_tarski(k2_tarski(X0,X1),k2_enumset1(X0,X0,X0,X0)),k2_tarski(k2_tarski(X2,X3),k2_enumset1(X2,X2,X2,X2)))) ),
inference(equality_resolution,[],[f14813]) ).
fof(f15246,plain,
! [X2,X1] : np__0 = k4_xboole_0(k2_enumset1(X1,X1,X1,X1),k2_tarski(X1,X2)),
inference(equality_resolution,[],[f14819]) ).
fof(f15247,plain,
! [X2,X1] : np__0 = k4_xboole_0(k2_enumset1(X2,X2,X2,X2),k2_tarski(X1,X2)),
inference(equality_resolution,[],[f14820]) ).
fof(f15249,plain,
! [X2,X1] :
( r2_hidden(X1,X2)
| k2_enumset1(X1,X1,X1,X1) = k4_xboole_0(k2_tarski(X1,X1),X2) ),
inference(equality_resolution,[],[f14828]) ).
fof(f15250,plain,
! [X2,X1] :
( ~ r2_hidden(X2,X1)
| k2_enumset1(X2,X2,X2,X2) = k4_xboole_0(k2_tarski(X2,X2),k4_xboole_0(k2_tarski(X2,X2),X1)) ),
inference(equality_resolution,[],[f14833]) ).
fof(f15252,plain,
! [X2,X1] : r1_tarski(k2_enumset1(X1,X1,X1,X1),k2_tarski(X1,X2)),
inference(equality_resolution,[],[f14840]) ).
fof(f15253,plain,
! [X2,X1] : r1_tarski(k2_enumset1(X2,X2,X2,X2),k2_tarski(X1,X2)),
inference(equality_resolution,[],[f14841]) ).
fof(f15255,plain,
! [X2,X1,X4] :
( k2_tarski(X4,X1) != X2
| r2_hidden(X4,X2) ),
inference(equality_resolution,[],[f12939]) ).
fof(f15256,plain,
! [X1,X4] : r2_hidden(X4,k2_tarski(X4,X1)),
inference(equality_resolution,[],[f15255]) ).
fof(f15257,plain,
! [X2,X0,X4] :
( k2_tarski(X0,X4) != X2
| r2_hidden(X4,X2) ),
inference(equality_resolution,[],[f12938]) ).
fof(f15258,plain,
! [X0,X4] : r2_hidden(X4,k2_tarski(X0,X4)),
inference(equality_resolution,[],[f15257]) ).
fof(f15259,plain,
! [X0,X1,X4] :
( ~ r2_hidden(X4,k2_tarski(X0,X1))
| X1 = X4
| X0 = X4 ),
inference(equality_resolution,[],[f12937]) ).
fof(f15260,plain,
! [X0,X1] :
( ~ l1_struct_0(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ m1_subset_1(k6_subset_1(u1_struct_0(X0),k2_pre_topc(X0),X1),k1_zfmisc_1(u1_struct_0(X0)))
| k2_pre_topc(X0) = k4_subset_1(u1_struct_0(X0),X1,k6_subset_1(u1_struct_0(X0),k2_pre_topc(X0),X1)) ),
inference(equality_resolution,[],[f12987]) ).
fof(f15261,plain,
! [X0] :
( ~ l1_struct_0(X0)
| ~ m1_subset_1(k2_pre_topc(X0),k1_zfmisc_1(u1_struct_0(X0)))
| np__0 = k6_subset_1(u1_struct_0(X0),k2_pre_topc(X0),k2_pre_topc(X0)) ),
inference(equality_resolution,[],[f14859]) ).
fof(f15262,plain,
! [X2,X0,X1] :
( ~ l1_rlvect_1(X0)
| v3_struct_0(X0)
| ~ m2_finseq_1(X1,u1_struct_0(X0))
| ~ m2_subset_1(X2,k1_numbers,k5_numbers)
| ~ m2_subset_1(k3_finseq_1(X1),k1_numbers,k5_numbers)
| ~ r2_hidden(X2,k2_finseq_1(k3_finseq_1(X1)))
| m1_subset_1(k1_funct_1(X1,X2),u1_struct_0(X0)) ),
inference(equality_resolution,[],[f13008]) ).
fof(f15263,plain,
! [X0,X1] :
( ~ v1_finseq_1(X0)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ~ v1_finseq_1(X1)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ~ v1_finseq_1(k7_finseq_1(X0,X1))
| ~ v1_funct_1(k7_finseq_1(X0,X1))
| ~ v1_relat_1(k7_finseq_1(X0,X1))
| k2_finseq_1(k1_nat_1(k3_finseq_1(X0),k3_finseq_1(X1))) = k4_finseq_1(k7_finseq_1(X0,X1)) ),
inference(equality_resolution,[],[f13020]) ).
fof(f15264,plain,
! [X0,X1,X4] :
( ~ v1_finseq_1(X0)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ~ v1_finseq_1(X1)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ~ v1_finseq_1(k7_finseq_1(X0,X1))
| ~ v1_funct_1(k7_finseq_1(X0,X1))
| ~ v1_relat_1(k7_finseq_1(X0,X1))
| ~ m2_subset_1(X4,k1_numbers,k5_numbers)
| ~ r2_hidden(X4,k4_finseq_1(X0))
| k1_funct_1(X0,X4) = k1_funct_1(k7_finseq_1(X0,X1),X4) ),
inference(equality_resolution,[],[f13019]) ).
fof(f15265,plain,
! [X0,X1] :
( ~ v1_finseq_1(X0)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ~ v1_finseq_1(X1)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ~ v1_finseq_1(k7_finseq_1(X0,X1))
| ~ v1_funct_1(k7_finseq_1(X0,X1))
| ~ v1_relat_1(k7_finseq_1(X0,X1))
| sP25(X0,k7_finseq_1(X0,X1),X1) ),
inference(equality_resolution,[],[f13018]) ).
fof(f15266,plain,
! [X0,X1] :
( ~ v4_ordinal2(X0)
| ~ v1_finseq_1(X1)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ~ v1_finseq_1(k7_relat_1(X1,k2_finseq_1(X0)))
| ~ v1_funct_1(k7_relat_1(X1,k2_finseq_1(X0)))
| ~ v1_relat_1(k7_relat_1(X1,k2_finseq_1(X0)))
| ~ r1_xreal_0(X0,k3_finseq_1(X1))
| k3_finseq_1(k7_relat_1(X1,k2_finseq_1(X0))) = X0 ),
inference(equality_resolution,[],[f13025]) ).
fof(f15267,plain,
! [X0,X1] :
( ~ v4_ordinal2(X0)
| ~ v1_finseq_1(X1)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ~ v1_finseq_1(k7_relat_1(X1,k2_finseq_1(X0)))
| ~ v1_funct_1(k7_relat_1(X1,k2_finseq_1(X0)))
| ~ v1_relat_1(k7_relat_1(X1,k2_finseq_1(X0)))
| ~ r1_xreal_0(X0,k3_finseq_1(X1))
| k2_finseq_1(X0) = k4_finseq_1(k7_relat_1(X1,k2_finseq_1(X0))) ),
inference(equality_resolution,[],[f13024]) ).
fof(f15268,plain,
! [X0] :
( ~ v1_finseq_1(X0)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ~ m2_subset_1(k3_finseq_1(X0),k1_numbers,k5_numbers)
| k1_relat_1(X0) = k2_finseq_1(k3_finseq_1(X0)) ),
inference(equality_resolution,[],[f13030]) ).
fof(f15270,plain,
! [X2,X1] : k1_card_1(k2_enumset1(X1,X1,X1,X1)) = k1_card_1(k2_enumset1(X2,X2,X2,X2)),
inference(equality_resolution,[],[f14862]) ).
fof(f15271,plain,
! [X2,X0] :
( ~ r1_tarski(X0,k2_relat_1(X2))
| ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| r1_tarski(k1_card_1(X0),k1_card_1(k1_relat_1(X2))) ),
inference(equality_resolution,[],[f13047]) ).
fof(f15272,plain,
! [X2,X1] :
( ~ r1_tarski(k2_relat_1(X2),X1)
| ~ v2_funct_1(X2)
| ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| r1_tarski(k1_card_1(k1_relat_1(X2)),k1_card_1(X1)) ),
inference(equality_resolution,[],[f13054]) ).
fof(f15273,plain,
! [X2,X1] :
( ~ m2_relset_1(X2,np__0,X1)
| ~ v1_funct_2(X2,np__0,X1)
| ~ v1_funct_1(X2)
| sP26(np__0,X2) ),
inference(equality_resolution,[],[f14865]) ).
fof(f15274,plain,
! [X2,X1] :
( ~ l3_lattices(X1)
| v3_realset2(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ~ v1_filter_0(X2,X1)
| ~ m1_filter_0(X2,X1)
| r2_hidden(X2,k7_lopclset(X1)) ),
inference(equality_resolution,[],[f13118]) ).
fof(f15275,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_filter_0(u1_struct_0(X0),X0)
| ~ v1_filter_0(u1_struct_0(X0),X0) ),
inference(equality_resolution,[],[f13128]) ).
fof(f15276,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_filter_0(u1_struct_0(X0),X0)
| ~ v1_filter_0(u1_struct_0(X0),X0) ),
inference(equality_resolution,[],[f13139]) ).
fof(f15277,plain,
! [X2,X0,X1] :
( ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| v3_struct_0(X1)
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_group_6(X2,X0,X1)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X2)
| ~ m1_group_2(k13_group_6(X0,X1,X2),X1)
| ~ v1_group_1(k13_group_6(X0,X1,X2))
| k2_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,u1_struct_0(X0)) = u1_struct_0(k13_group_6(X0,X1,X2)) ),
inference(equality_resolution,[],[f13176]) ).
fof(f15278,plain,
! [X3,X0] :
( ~ l1_group_1(X0)
| v3_struct_0(X0)
| ~ v2_group_1(X0)
| ~ m1_subset_1(k2_group_1(X0),u1_struct_0(X0))
| ~ m1_subset_1(X3,u1_struct_0(X0))
| k1_group_1(X0,X3,k2_group_1(X0)) = X3 ),
inference(equality_resolution,[],[f13186]) ).
fof(f15279,plain,
! [X3,X0] :
( ~ l1_group_1(X0)
| v3_struct_0(X0)
| ~ v2_group_1(X0)
| ~ m1_subset_1(k2_group_1(X0),u1_struct_0(X0))
| ~ m1_subset_1(X3,u1_struct_0(X0))
| k1_group_1(X0,k2_group_1(X0),X3) = X3 ),
inference(equality_resolution,[],[f13185]) ).
fof(f15281,plain,
! [X0,X1] :
( ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(k3_group_1(X0,X1),u1_struct_0(X0))
| k2_group_1(X0) = k1_group_1(X0,X1,k3_group_1(X0,X1)) ),
inference(equality_resolution,[],[f13229]) ).
fof(f15282,plain,
! [X0,X1] :
( ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(k3_group_1(X0,X1),u1_struct_0(X0))
| k2_group_1(X0) = k1_group_1(X0,k3_group_1(X0,X1),X1) ),
inference(equality_resolution,[],[f13228]) ).
fof(f15283,plain,
! [X2,X3,X1] :
( ~ m2_relset_1(X3,np__0,X1)
| ~ v1_funct_2(X3,np__0,X1)
| ~ v1_funct_1(X3)
| ~ r1_tarski(X2,np__0)
| v1_funct_1(k2_partfun1(np__0,X1,X3,X2)) ),
inference(equality_resolution,[],[f14885]) ).
fof(f15284,plain,
! [X2,X3,X1] :
( ~ m2_relset_1(X3,np__0,X1)
| ~ v1_funct_2(X3,np__0,X1)
| ~ v1_funct_1(X3)
| ~ r1_tarski(X2,np__0)
| v1_funct_2(k2_partfun1(np__0,X1,X3,X2),X2,X1) ),
inference(equality_resolution,[],[f14886]) ).
fof(f15285,plain,
! [X2,X3,X1] :
( ~ m2_relset_1(X3,np__0,X1)
| ~ v1_funct_2(X3,np__0,X1)
| ~ v1_funct_1(X3)
| ~ r1_tarski(X2,np__0)
| m2_relset_1(k2_partfun1(np__0,X1,X3,X2),X2,X1) ),
inference(equality_resolution,[],[f14887]) ).
fof(f15286,plain,
! [X2,X3,X1,X4,X5] :
( v1_realset1(u1_struct_0(X5))
| ~ m2_relset_1(X1,k2_zfmisc_1(u1_struct_0(X5),u1_struct_0(X5)),u1_struct_0(X5))
| ~ v1_funct_2(X1,k2_zfmisc_1(u1_struct_0(X5),u1_struct_0(X5)),u1_struct_0(X5))
| ~ v1_funct_1(X1)
| ~ m2_relset_1(X2,k2_zfmisc_1(u1_struct_0(X5),u1_struct_0(X5)),u1_struct_0(X5))
| ~ v1_funct_2(X2,k2_zfmisc_1(u1_struct_0(X5),u1_struct_0(X5)),u1_struct_0(X5))
| ~ v1_funct_1(X2)
| ~ m1_subset_1(X3,u1_struct_0(X5))
| ~ m1_subset_1(X4,k4_xboole_0(u1_struct_0(X5),k5_realset1(u1_struct_0(X5),X3)))
| ~ l3_vectsp_1(X5)
| v3_realset2(X5)
| ~ v3_vectsp_1(X5)
| u1_vectsp_1(X5) != X4
| u2_struct_0(X5) != X3
| u1_group_1(X5) != X2
| u1_rlvect_1(X5) != X1
| k1_realset2(u1_struct_0(X5),X1,X2,X3,X4) = X5 ),
inference(equality_resolution,[],[f13316]) ).
fof(f15287,plain,
! [X2,X3,X4,X5] :
( v1_realset1(u1_struct_0(X5))
| ~ m2_relset_1(u1_rlvect_1(X5),k2_zfmisc_1(u1_struct_0(X5),u1_struct_0(X5)),u1_struct_0(X5))
| ~ v1_funct_2(u1_rlvect_1(X5),k2_zfmisc_1(u1_struct_0(X5),u1_struct_0(X5)),u1_struct_0(X5))
| ~ v1_funct_1(u1_rlvect_1(X5))
| ~ m2_relset_1(X2,k2_zfmisc_1(u1_struct_0(X5),u1_struct_0(X5)),u1_struct_0(X5))
| ~ v1_funct_2(X2,k2_zfmisc_1(u1_struct_0(X5),u1_struct_0(X5)),u1_struct_0(X5))
| ~ v1_funct_1(X2)
| ~ m1_subset_1(X3,u1_struct_0(X5))
| ~ m1_subset_1(X4,k4_xboole_0(u1_struct_0(X5),k5_realset1(u1_struct_0(X5),X3)))
| ~ l3_vectsp_1(X5)
| v3_realset2(X5)
| ~ v3_vectsp_1(X5)
| u1_vectsp_1(X5) != X4
| u2_struct_0(X5) != X3
| u1_group_1(X5) != X2
| k1_realset2(u1_struct_0(X5),u1_rlvect_1(X5),X2,X3,X4) = X5 ),
inference(equality_resolution,[],[f15286]) ).
fof(f15288,plain,
! [X3,X4,X5] :
( v1_realset1(u1_struct_0(X5))
| ~ m2_relset_1(u1_rlvect_1(X5),k2_zfmisc_1(u1_struct_0(X5),u1_struct_0(X5)),u1_struct_0(X5))
| ~ v1_funct_2(u1_rlvect_1(X5),k2_zfmisc_1(u1_struct_0(X5),u1_struct_0(X5)),u1_struct_0(X5))
| ~ v1_funct_1(u1_rlvect_1(X5))
| ~ m2_relset_1(u1_group_1(X5),k2_zfmisc_1(u1_struct_0(X5),u1_struct_0(X5)),u1_struct_0(X5))
| ~ v1_funct_2(u1_group_1(X5),k2_zfmisc_1(u1_struct_0(X5),u1_struct_0(X5)),u1_struct_0(X5))
| ~ v1_funct_1(u1_group_1(X5))
| ~ m1_subset_1(X3,u1_struct_0(X5))
| ~ m1_subset_1(X4,k4_xboole_0(u1_struct_0(X5),k5_realset1(u1_struct_0(X5),X3)))
| ~ l3_vectsp_1(X5)
| v3_realset2(X5)
| ~ v3_vectsp_1(X5)
| u1_vectsp_1(X5) != X4
| u2_struct_0(X5) != X3
| k1_realset2(u1_struct_0(X5),u1_rlvect_1(X5),u1_group_1(X5),X3,X4) = X5 ),
inference(equality_resolution,[],[f15287]) ).
fof(f15289,plain,
! [X4,X5] :
( v1_realset1(u1_struct_0(X5))
| ~ m2_relset_1(u1_rlvect_1(X5),k2_zfmisc_1(u1_struct_0(X5),u1_struct_0(X5)),u1_struct_0(X5))
| ~ v1_funct_2(u1_rlvect_1(X5),k2_zfmisc_1(u1_struct_0(X5),u1_struct_0(X5)),u1_struct_0(X5))
| ~ v1_funct_1(u1_rlvect_1(X5))
| ~ m2_relset_1(u1_group_1(X5),k2_zfmisc_1(u1_struct_0(X5),u1_struct_0(X5)),u1_struct_0(X5))
| ~ v1_funct_2(u1_group_1(X5),k2_zfmisc_1(u1_struct_0(X5),u1_struct_0(X5)),u1_struct_0(X5))
| ~ v1_funct_1(u1_group_1(X5))
| ~ m1_subset_1(u2_struct_0(X5),u1_struct_0(X5))
| ~ m1_subset_1(X4,k4_xboole_0(u1_struct_0(X5),k5_realset1(u1_struct_0(X5),u2_struct_0(X5))))
| ~ l3_vectsp_1(X5)
| v3_realset2(X5)
| ~ v3_vectsp_1(X5)
| u1_vectsp_1(X5) != X4
| k1_realset2(u1_struct_0(X5),u1_rlvect_1(X5),u1_group_1(X5),u2_struct_0(X5),X4) = X5 ),
inference(equality_resolution,[],[f15288]) ).
fof(f15290,plain,
! [X5] :
( v1_realset1(u1_struct_0(X5))
| ~ m2_relset_1(u1_rlvect_1(X5),k2_zfmisc_1(u1_struct_0(X5),u1_struct_0(X5)),u1_struct_0(X5))
| ~ v1_funct_2(u1_rlvect_1(X5),k2_zfmisc_1(u1_struct_0(X5),u1_struct_0(X5)),u1_struct_0(X5))
| ~ v1_funct_1(u1_rlvect_1(X5))
| ~ m2_relset_1(u1_group_1(X5),k2_zfmisc_1(u1_struct_0(X5),u1_struct_0(X5)),u1_struct_0(X5))
| ~ v1_funct_2(u1_group_1(X5),k2_zfmisc_1(u1_struct_0(X5),u1_struct_0(X5)),u1_struct_0(X5))
| ~ v1_funct_1(u1_group_1(X5))
| ~ m1_subset_1(u2_struct_0(X5),u1_struct_0(X5))
| ~ m1_subset_1(u1_vectsp_1(X5),k4_xboole_0(u1_struct_0(X5),k5_realset1(u1_struct_0(X5),u2_struct_0(X5))))
| ~ l3_vectsp_1(X5)
| v3_realset2(X5)
| ~ v3_vectsp_1(X5)
| k1_realset2(u1_struct_0(X5),u1_rlvect_1(X5),u1_group_1(X5),u2_struct_0(X5),u1_vectsp_1(X5)) = X5 ),
inference(equality_resolution,[],[f15289]) ).
fof(f15291,plain,
! [X2,X3,X0,X1,X4] :
( v1_realset1(X0)
| ~ m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ m1_subset_1(X3,X0)
| ~ m1_subset_1(X4,k4_xboole_0(X0,k5_realset1(X0,X3)))
| ~ l3_vectsp_1(k1_realset2(X0,X1,X2,X3,X4))
| v3_realset2(k1_realset2(X0,X1,X2,X3,X4))
| ~ v3_vectsp_1(k1_realset2(X0,X1,X2,X3,X4))
| u1_struct_0(k1_realset2(X0,X1,X2,X3,X4)) = X0 ),
inference(equality_resolution,[],[f13315]) ).
fof(f15292,plain,
! [X2,X3,X0,X1,X4] :
( v1_realset1(X0)
| ~ m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ m1_subset_1(X3,X0)
| ~ m1_subset_1(X4,k4_xboole_0(X0,k5_realset1(X0,X3)))
| ~ l3_vectsp_1(k1_realset2(X0,X1,X2,X3,X4))
| v3_realset2(k1_realset2(X0,X1,X2,X3,X4))
| ~ v3_vectsp_1(k1_realset2(X0,X1,X2,X3,X4))
| u1_rlvect_1(k1_realset2(X0,X1,X2,X3,X4)) = X1 ),
inference(equality_resolution,[],[f13314]) ).
fof(f15293,plain,
! [X2,X3,X0,X1,X4] :
( v1_realset1(X0)
| ~ m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ m1_subset_1(X3,X0)
| ~ m1_subset_1(X4,k4_xboole_0(X0,k5_realset1(X0,X3)))
| ~ l3_vectsp_1(k1_realset2(X0,X1,X2,X3,X4))
| v3_realset2(k1_realset2(X0,X1,X2,X3,X4))
| ~ v3_vectsp_1(k1_realset2(X0,X1,X2,X3,X4))
| u1_group_1(k1_realset2(X0,X1,X2,X3,X4)) = X2 ),
inference(equality_resolution,[],[f13313]) ).
fof(f15294,plain,
! [X2,X3,X0,X1,X4] :
( v1_realset1(X0)
| ~ m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ m1_subset_1(X3,X0)
| ~ m1_subset_1(X4,k4_xboole_0(X0,k5_realset1(X0,X3)))
| ~ l3_vectsp_1(k1_realset2(X0,X1,X2,X3,X4))
| v3_realset2(k1_realset2(X0,X1,X2,X3,X4))
| ~ v3_vectsp_1(k1_realset2(X0,X1,X2,X3,X4))
| u2_struct_0(k1_realset2(X0,X1,X2,X3,X4)) = X3 ),
inference(equality_resolution,[],[f13312]) ).
fof(f15295,plain,
! [X2,X3,X0,X1,X4] :
( v1_realset1(X0)
| ~ m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ m1_subset_1(X3,X0)
| ~ m1_subset_1(X4,k4_xboole_0(X0,k5_realset1(X0,X3)))
| ~ l3_vectsp_1(k1_realset2(X0,X1,X2,X3,X4))
| v3_realset2(k1_realset2(X0,X1,X2,X3,X4))
| ~ v3_vectsp_1(k1_realset2(X0,X1,X2,X3,X4))
| u1_vectsp_1(k1_realset2(X0,X1,X2,X3,X4)) = X4 ),
inference(equality_resolution,[],[f13311]) ).
fof(f15296,plain,
! [X0,X1,X4] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ~ r2_hidden(k1_funct_1(X0,X4),X1)
| ~ r2_hidden(X4,k1_relat_1(X0))
| r2_hidden(X4,k10_relat_1(X0,X1)) ),
inference(equality_resolution,[],[f13344]) ).
fof(f15297,plain,
! [X0,X1,X4] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ~ r2_hidden(X4,k10_relat_1(X0,X1))
| r2_hidden(X4,k1_relat_1(X0)) ),
inference(equality_resolution,[],[f13343]) ).
fof(f15298,plain,
! [X0,X1,X4] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ~ r2_hidden(X4,k10_relat_1(X0,X1))
| r2_hidden(k1_funct_1(X0,X4),X1) ),
inference(equality_resolution,[],[f13342]) ).
fof(f15299,plain,
! [X0,X1,X6,X7] :
( ~ v1_relat_1(X0)
| ~ r2_hidden(X7,X1)
| ~ r2_hidden(k2_tarski(k2_tarski(X6,X7),k2_enumset1(X6,X6,X6,X6)),X0)
| r2_hidden(X6,k10_relat_1(X0,X1)) ),
inference(equality_resolution,[],[f14912]) ).
fof(f15300,plain,
! [X0,X1,X6] :
( ~ v1_relat_1(X0)
| ~ r2_hidden(X6,k10_relat_1(X0,X1))
| r2_hidden(k2_tarski(k2_tarski(X6,sK486(X0,X1,X6)),k2_enumset1(X6,X6,X6,X6)),X0) ),
inference(equality_resolution,[],[f14913]) ).
fof(f15301,plain,
! [X0,X1,X6] :
( ~ v1_relat_1(X0)
| ~ r2_hidden(X6,k10_relat_1(X0,X1))
| r2_hidden(sK486(X0,X1,X6),X1) ),
inference(equality_resolution,[],[f13365]) ).
fof(f15302,plain,
! [X2,X3,X0,X1,X5] :
( ~ m2_relset_1(X3,X0,X1)
| ~ v1_funct_2(X3,X0,X1)
| ~ v1_funct_1(X3)
| np__0 = X1
| ~ r2_hidden(X5,X2)
| ~ r2_hidden(X5,X0)
| r2_hidden(k1_funct_1(X3,X5),k9_relat_1(X3,X2)) ),
inference(equality_resolution,[],[f14914]) ).
fof(f15303,plain,
! [X2,X0,X1,X7] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| k9_relat_1(X0,X1) != X2
| ~ r2_hidden(X7,X1)
| ~ r2_hidden(X7,k1_relat_1(X0))
| r2_hidden(k1_funct_1(X0,X7),X2) ),
inference(equality_resolution,[],[f13383]) ).
fof(f15304,plain,
! [X0,X1,X7] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ~ r2_hidden(X7,X1)
| ~ r2_hidden(X7,k1_relat_1(X0))
| r2_hidden(k1_funct_1(X0,X7),k9_relat_1(X0,X1)) ),
inference(equality_resolution,[],[f15303]) ).
fof(f15305,plain,
! [X0,X1,X6] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ~ r2_hidden(X6,k9_relat_1(X0,X1))
| r2_hidden(sK489(X0,X1,X6),k1_relat_1(X0)) ),
inference(equality_resolution,[],[f13382]) ).
fof(f15306,plain,
! [X0,X1,X6] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ~ r2_hidden(X6,k9_relat_1(X0,X1))
| r2_hidden(sK489(X0,X1,X6),X1) ),
inference(equality_resolution,[],[f13381]) ).
fof(f15307,plain,
! [X0,X1,X6] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ~ r2_hidden(X6,k9_relat_1(X0,X1))
| k1_funct_1(X0,sK489(X0,X1,X6)) = X6 ),
inference(equality_resolution,[],[f13380]) ).
fof(f15308,plain,
! [X0,X1,X6,X7] :
( ~ v1_relat_1(X0)
| ~ r2_hidden(X7,X1)
| ~ r2_hidden(k2_tarski(k2_tarski(X7,X6),k2_enumset1(X7,X7,X7,X7)),X0)
| r2_hidden(X6,k9_relat_1(X0,X1)) ),
inference(equality_resolution,[],[f14929]) ).
fof(f15309,plain,
! [X0,X1,X6] :
( ~ v1_relat_1(X0)
| ~ r2_hidden(X6,k9_relat_1(X0,X1))
| r2_hidden(k2_tarski(k2_tarski(sK493(X0,X1,X6),X6),k2_enumset1(sK493(X0,X1,X6),sK493(X0,X1,X6),sK493(X0,X1,X6),sK493(X0,X1,X6))),X0) ),
inference(equality_resolution,[],[f14930]) ).
fof(f15310,plain,
! [X0,X1,X6] :
( ~ v1_relat_1(X0)
| ~ r2_hidden(X6,k9_relat_1(X0,X1))
| r2_hidden(sK493(X0,X1,X6),X1) ),
inference(equality_resolution,[],[f13405]) ).
fof(f15311,plain,
! [X2,X1] :
( ~ m2_relset_1(X2,np__0,X1)
| ~ v1_funct_2(X2,np__0,X1)
| ~ v1_funct_1(X2)
| k2_relat_1(X2) = k2_funct_2(np__0,X1,X2,np__0) ),
inference(equality_resolution,[],[f14935]) ).
fof(f15313,plain,
! [X0,X1] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ~ v1_funct_1(k3_funct_4(X0,X1))
| ~ v1_relat_1(k3_funct_4(X0,X1))
| sP28(X0,X1,k3_funct_4(X0,X1)) ),
inference(equality_resolution,[],[f13456]) ).
fof(f15314,plain,
! [X10,X0,X1,X8,X9,X7] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ~ v1_funct_1(k3_funct_4(X0,X1))
| ~ v1_relat_1(k3_funct_4(X0,X1))
| ~ r2_hidden(k2_tarski(k2_tarski(X9,X10),k2_enumset1(X9,X9,X9,X9)),k1_relat_1(X1))
| ~ r2_hidden(k2_tarski(k2_tarski(X7,X8),k2_enumset1(X7,X7,X7,X7)),k1_relat_1(X0))
| k2_tarski(k2_tarski(k1_funct_1(X0,k2_tarski(k2_tarski(X7,X8),k2_enumset1(X7,X7,X7,X7))),k1_funct_1(X1,k2_tarski(k2_tarski(X9,X10),k2_enumset1(X9,X9,X9,X9)))),k2_enumset1(k1_funct_1(X0,k2_tarski(k2_tarski(X7,X8),k2_enumset1(X7,X7,X7,X7))),k1_funct_1(X0,k2_tarski(k2_tarski(X7,X8),k2_enumset1(X7,X7,X7,X7))),k1_funct_1(X0,k2_tarski(k2_tarski(X7,X8),k2_enumset1(X7,X7,X7,X7))),k1_funct_1(X0,k2_tarski(k2_tarski(X7,X8),k2_enumset1(X7,X7,X7,X7))))) = k1_funct_1(k3_funct_4(X0,X1),k2_tarski(k2_tarski(k2_tarski(k2_tarski(X7,X9),k2_enumset1(X7,X7,X7,X7)),k2_tarski(k2_tarski(X8,X10),k2_enumset1(X8,X8,X8,X8))),k2_enumset1(k2_tarski(k2_tarski(X7,X9),k2_enumset1(X7,X7,X7,X7)),k2_tarski(k2_tarski(X7,X9),k2_enumset1(X7,X7,X7,X7)),k2_tarski(k2_tarski(X7,X9),k2_enumset1(X7,X7,X7,X7)),k2_tarski(k2_tarski(X7,X9),k2_enumset1(X7,X7,X7,X7))))) ),
inference(equality_resolution,[],[f14955]) ).
fof(f15315,plain,
! [X2,X1] :
( ~ sP30(k8_relat_1(X1,X2),X1,X2)
| sP29(X2,X1,k8_relat_1(X1,X2)) ),
inference(equality_resolution,[],[f13512]) ).
fof(f15316,plain,
! [X0,X1,X6,X5] :
( ~ v1_relat_1(X1)
| ~ v1_relat_1(k8_relat_1(X0,X1))
| ~ r2_hidden(k2_tarski(k2_tarski(X5,X6),k2_enumset1(X5,X5,X5,X5)),X1)
| ~ r2_hidden(X6,X0)
| r2_hidden(k2_tarski(k2_tarski(X5,X6),k2_enumset1(X5,X5,X5,X5)),k8_relat_1(X0,X1)) ),
inference(equality_resolution,[],[f14979]) ).
fof(f15317,plain,
! [X0,X1,X6,X5] :
( ~ v1_relat_1(X1)
| ~ v1_relat_1(k8_relat_1(X0,X1))
| ~ r2_hidden(k2_tarski(k2_tarski(X5,X6),k2_enumset1(X5,X5,X5,X5)),k8_relat_1(X0,X1))
| r2_hidden(X6,X0) ),
inference(equality_resolution,[],[f14980]) ).
fof(f15318,plain,
! [X0,X1,X6,X5] :
( ~ v1_relat_1(X1)
| ~ v1_relat_1(k8_relat_1(X0,X1))
| ~ r2_hidden(k2_tarski(k2_tarski(X5,X6),k2_enumset1(X5,X5,X5,X5)),k8_relat_1(X0,X1))
| r2_hidden(k2_tarski(k2_tarski(X5,X6),k2_enumset1(X5,X5,X5,X5)),X1) ),
inference(equality_resolution,[],[f14981]) ).
fof(f15319,plain,
! [X1] :
( ~ v1_finseq_1(X1)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| v1_finset_1(k2_relat_1(X1)) ),
inference(equality_resolution,[],[f13570]) ).
fof(f15321,plain,
( ~ v1_finseq_1(np__0)
| ~ v1_funct_1(np__0)
| ~ v1_relat_1(np__0)
| np__0 = k3_finseq_1(np__0) ),
inference(equality_resolution,[],[f14984]) ).
fof(f15322,plain,
! [X2,X0] :
( ~ m2_relset_1(np__0,X0,X0)
| ~ v1_partfun1(np__0,X0,X0)
| ~ v1_relat_2(np__0)
| ~ r2_hidden(X2,X0) ),
inference(equality_resolution,[],[f14989]) ).
fof(f15323,plain,
! [X0,X4,X5] :
( ~ v1_relat_1(X0)
| ~ v1_relat_1(k4_relat_1(X0))
| ~ r2_hidden(k2_tarski(k2_tarski(X5,X4),k2_enumset1(X5,X5,X5,X5)),X0)
| r2_hidden(k2_tarski(k2_tarski(X4,X5),k2_enumset1(X4,X4,X4,X4)),k4_relat_1(X0)) ),
inference(equality_resolution,[],[f15001]) ).
fof(f15324,plain,
! [X0,X4,X5] :
( ~ v1_relat_1(X0)
| ~ v1_relat_1(k4_relat_1(X0))
| ~ r2_hidden(k2_tarski(k2_tarski(X4,X5),k2_enumset1(X4,X4,X4,X4)),k4_relat_1(X0))
| r2_hidden(k2_tarski(k2_tarski(X5,X4),k2_enumset1(X5,X5,X5,X5)),X0) ),
inference(equality_resolution,[],[f15002]) ).
fof(f15327,plain,
! [X2,X0] :
( ~ m2_relset_1(X2,X0,k2_relat_1(X2))
| ~ v1_funct_2(X2,X0,k2_relat_1(X2))
| ~ v1_funct_1(X2)
| ~ v2_funct_1(X2)
| k6_partfun1(X0) = k5_relat_1(X2,k2_funct_1(X2))
| k2_relat_1(X2) = np__0 ),
inference(equality_resolution,[],[f15004]) ).
fof(f15328,plain,
! [X2,X0] :
( ~ m2_relset_1(X2,X0,k2_relat_1(X2))
| ~ v1_funct_2(X2,X0,k2_relat_1(X2))
| ~ v1_funct_1(X2)
| ~ v2_funct_1(X2)
| k5_relat_1(k2_funct_1(X2),X2) = k6_partfun1(k2_relat_1(X2))
| k2_relat_1(X2) = np__0 ),
inference(equality_resolution,[],[f15005]) ).
fof(f15329,plain,
! [X2] :
( ~ v3_ordinal1(k3_tarski(k2_tarski(X2,k2_enumset1(X2,X2,X2,X2))))
| ~ v4_ordinal1(k3_tarski(k2_tarski(X2,k2_enumset1(X2,X2,X2,X2))))
| ~ v3_ordinal1(X2) ),
inference(equality_resolution,[],[f15010]) ).
fof(f15331,plain,
! [X0,X1] :
( ~ m2_subset_1(X0,k1_numbers,k5_numbers)
| ~ v1_int_1(X1)
| ~ v1_int_1(k2_xcmplx_0(X1,X0))
| r1_xreal_0(X1,k2_xcmplx_0(X1,X0)) ),
inference(equality_resolution,[],[f13791]) ).
fof(f15332,plain,
! [X3,X0] :
( ~ v4_finsub_1(k5_finsub_1(X0))
| ~ v1_finset_1(X3)
| ~ r1_tarski(X3,X0)
| r2_hidden(X3,k5_finsub_1(X0)) ),
inference(equality_resolution,[],[f13835]) ).
fof(f15333,plain,
! [X3,X0] :
( ~ v4_finsub_1(k5_finsub_1(X0))
| ~ r2_hidden(X3,k5_finsub_1(X0))
| r1_tarski(X3,X0) ),
inference(equality_resolution,[],[f13834]) ).
fof(f15334,plain,
! [X3,X0] :
( ~ v4_finsub_1(k5_finsub_1(X0))
| ~ r2_hidden(X3,k5_finsub_1(X0))
| v1_finset_1(X3) ),
inference(equality_resolution,[],[f13833]) ).
fof(f15339,plain,
! [X2,X3,X0,X1] : sP33(X0,X1,X2,X3,k2_enumset1(X0,X1,X2,X3)),
inference(equality_resolution,[],[f13881]) ).
fof(f15340,plain,
! [X2,X1] : r2_wellord2(k2_enumset1(X2,X2,X2,X2),k2_enumset1(X1,X1,X1,X1)),
inference(equality_resolution,[],[f15057]) ).
fof(f15341,plain,
r2_wellord2(np__0,np__0),
inference(equality_resolution,[],[f15059]) ).
fof(f15342,plain,
! [X0] :
( ~ v1_card_1(k1_card_1(X0))
| r2_wellord2(X0,k1_card_1(X0)) ),
inference(equality_resolution,[],[f13940]) ).
fof(f15344,plain,
! [X1] :
( r2_wellord2(sK564(X1),X1)
| ~ v3_ordinal1(X1)
| v1_card_1(X1) ),
inference(equality_resolution,[],[f13947]) ).
fof(f15345,plain,
! [X1] :
( v3_ordinal1(sK564(X1))
| ~ v3_ordinal1(X1)
| v1_card_1(X1) ),
inference(equality_resolution,[],[f13946]) ).
fof(f15346,plain,
! [X2,X0,X1] :
( ~ l1_rlvect_1(X0)
| v3_struct_0(X0)
| ~ m2_finseq_1(X1,u1_struct_0(X0))
| ~ m2_finseq_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(k1_funct_1(X1,k3_finseq_1(X1)),u1_struct_0(X0))
| k7_relat_1(X1,k4_finseq_1(X2)) != X2
| k3_finseq_1(X1) != k1_nat_1(k3_finseq_1(X2),np__1)
| k9_rlvect_1(X0,X1) = k2_rlvect_1(X0,k9_rlvect_1(X0,X2),k1_funct_1(X1,k3_finseq_1(X1))) ),
inference(equality_resolution,[],[f13951]) ).
fof(f15347,plain,
! [X2,X0] :
( ~ sP35(X0,k9_rlvect_1(X2,X0),X2)
| sP34(X2,k9_rlvect_1(X2,X0),X0) ),
inference(equality_resolution,[],[f13952]) ).
fof(f15354,plain,
! [X3,X0,X1] :
( ~ sP36(k3_finseq_1(X3),X3)
| k1_funct_1(X3,k3_finseq_1(X3)) != X1
| k1_funct_1(X3,np__1) != X0
| ~ r1_xreal_0(np__1,k3_finseq_1(X3))
| ~ v1_finseq_1(X3)
| ~ v1_funct_1(X3)
| ~ v1_relat_1(X3)
| ~ m2_subset_1(k3_finseq_1(X3),k1_numbers,k5_numbers)
| sP37(X0,X1) ),
inference(equality_resolution,[],[f13977]) ).
fof(f15355,plain,
! [X3,X1] :
( ~ sP36(k3_finseq_1(X3),X3)
| k1_funct_1(X3,k3_finseq_1(X3)) != X1
| ~ r1_xreal_0(np__1,k3_finseq_1(X3))
| ~ v1_finseq_1(X3)
| ~ v1_funct_1(X3)
| ~ v1_relat_1(X3)
| ~ m2_subset_1(k3_finseq_1(X3),k1_numbers,k5_numbers)
| sP37(k1_funct_1(X3,np__1),X1) ),
inference(equality_resolution,[],[f15354]) ).
fof(f15356,plain,
! [X3] :
( ~ sP36(k3_finseq_1(X3),X3)
| ~ r1_xreal_0(np__1,k3_finseq_1(X3))
| ~ v1_finseq_1(X3)
| ~ v1_funct_1(X3)
| ~ v1_relat_1(X3)
| ~ m2_subset_1(k3_finseq_1(X3),k1_numbers,k5_numbers)
| sP37(k1_funct_1(X3,np__1),k1_funct_1(X3,k3_finseq_1(X3))) ),
inference(equality_resolution,[],[f15355]) ).
fof(f15359,plain,
! [X0] :
( ~ v1_finseq_1(k9_finseq_1(X0))
| ~ v1_funct_1(k9_finseq_1(X0))
| ~ v1_relat_1(k9_finseq_1(X0))
| k2_finseq_1(np__1) = k4_finseq_1(k9_finseq_1(X0)) ),
inference(equality_resolution,[],[f14039]) ).
fof(f15360,plain,
! [X0] :
( ~ v1_finseq_1(k9_finseq_1(X0))
| ~ v1_funct_1(k9_finseq_1(X0))
| ~ v1_relat_1(k9_finseq_1(X0))
| k2_enumset1(X0,X0,X0,X0) = k2_relat_1(k9_finseq_1(X0)) ),
inference(equality_resolution,[],[f15068]) ).
fof(f15361,plain,
( ~ v1_finseq_1(np__0)
| ~ v1_funct_1(np__0)
| ~ v1_relat_1(np__0)
| np__0 = k4_finseq_1(np__0) ),
inference(equality_resolution,[],[f15070]) ).
tcf(c_49,plain,
! [X0: $i,X1: $i] : k2_enumset1(X0,X0,X0,X1) = k2_tarski(X0,X1),
inference(cnf_transformation,[],[f14055]) ).
tcf(c_50,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : k3_tarski(k2_tarski(k2_enumset1(X0,X0,X1,X2),k2_enumset1(X3,X3,X3,X3))) = k2_enumset1(X0,X1,X2,X3),
inference(cnf_transformation,[],[f14056]) ).
tcf(c_51,plain,
! [X0: $i,X1: $i] : k4_xboole_0(k3_tarski(k2_tarski(X0,X1)),k4_xboole_0(X0,k4_xboole_0(X0,X1))) = k5_xboole_0(X0,X1),
inference(cnf_transformation,[],[f14057]) ).
tcf(c_52,plain,
! [X0: $i,X1: $i] : k5_xboole_0(X0,k4_xboole_0(X0,k4_xboole_0(X0,X1))) = k4_xboole_0(X0,X1),
inference(cnf_transformation,[],[f14058]) ).
tcf(c_53,negated_conjecture,
! [X0: $i] :
( v3_struct_0(X0)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ r1_filter_1(sK39,k6_lopclset(X0)) ),
inference(cnf_transformation,[],[f10232]) ).
tcf(c_54,negated_conjecture,
~ v3_struct_0(sK39),
inference(cnf_transformation,[],[f10231]) ).
tcf(c_55,negated_conjecture,
v10_lattices(sK39),
inference(cnf_transformation,[],[f10230]) ).
tcf(c_56,negated_conjecture,
v17_lattices(sK39),
inference(cnf_transformation,[],[f10229]) ).
tcf(c_57,negated_conjecture,
~ v3_realset2(sK39),
inference(cnf_transformation,[],[f10228]) ).
tcf(c_58,negated_conjecture,
l3_lattices(sK39),
inference(cnf_transformation,[],[f10227]) ).
tcf(c_59,plain,
l3_lattices(sK40),
inference(cnf_transformation,[],[f10233]) ).
tcf(c_60,plain,
l1_pre_topc(sK41),
inference(cnf_transformation,[],[f10234]) ).
tcf(c_61,plain,
! [X0: $i,X1: $i] :
( v3_realset2(X1)
| v3_struct_0(X1)
| ~ l1_struct_0(X1)
| ( k2_enumset1(X0,X0,X0,X0) != u1_struct_0(X1) ) ),
inference(cnf_transformation,[],[f14059]) ).
tcf(c_62,plain,
! [X0: $i] :
( v3_struct_0(X0)
| ( k2_enumset1(sK42(X0),sK42(X0),sK42(X0),sK42(X0)) = u1_struct_0(X0) )
| ~ l1_struct_0(X0)
| ~ v3_realset2(X0) ),
inference(cnf_transformation,[],[f14060]) ).
tcf(c_63,plain,
! [X0: $i] :
( v3_realset2(X0)
| ~ l1_struct_0(X0)
| ( sK43(X0) != sK44(X0) ) ),
inference(cnf_transformation,[],[f10240]) ).
tcf(c_64,plain,
! [X0: $i] :
( v3_realset2(X0)
| m1_subset_1(sK44(X0),u1_struct_0(X0))
| ~ l1_struct_0(X0) ),
inference(cnf_transformation,[],[f10239]) ).
tcf(c_65,plain,
! [X0: $i] :
( v3_realset2(X0)
| m1_subset_1(sK43(X0),u1_struct_0(X0))
| ~ l1_struct_0(X0) ),
inference(cnf_transformation,[],[f10238]) ).
tcf(c_66,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X2 )
| ~ l1_struct_0(X1)
| ~ v3_realset2(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f10237]) ).
tcf(c_67,plain,
l1_struct_0(sK45),
inference(cnf_transformation,[],[f10242]) ).
tcf(c_68,plain,
v3_realset2(sK45),
inference(cnf_transformation,[],[f10241]) ).
tcf(c_69,plain,
! [X0: $i] :
( v3_realset2(X0)
| v3_struct_0(X0)
| r1_filter_1(X0,k12_lopclset(X0))
| ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0) ),
inference(cnf_transformation,[],[f10243]) ).
tcf(c_70,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| v3_struct_0(X0)
| r1_filter_1(X0,X0)
| ~ l3_lattices(X1)
| ~ l3_lattices(X0)
| ~ v10_lattices(X1)
| ~ v10_lattices(X0) ),
inference(cnf_transformation,[],[f10244]) ).
tcf(c_71,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| v3_struct_0(X0)
| r1_filter_1(X1,X0)
| ~ l3_lattices(X1)
| ~ l3_lattices(X0)
| ~ v10_lattices(X1)
| ~ v10_lattices(X0)
| ~ r1_filter_1(X0,X1) ),
inference(cnf_transformation,[],[f10245]) ).
tcf(c_72,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| r1_filter_1(X1,k8_filter_1(k5_filter_1(X1,k2_filter_0(X1,X0)),k8_filter_0(X1,k2_filter_0(X1,X0))))
| ~ l3_lattices(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f10246]) ).
tcf(c_73,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| v3_struct_0(X0)
| r1_filter_1(k8_filter_1(X0,X1),k8_filter_1(X1,X0))
| ~ l3_lattices(X1)
| ~ l3_lattices(X0)
| ~ v10_lattices(X1)
| ~ v10_lattices(X0) ),
inference(cnf_transformation,[],[f10247]) ).
tcf(c_74,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X2)
| v3_struct_0(X1)
| v3_struct_0(X0)
| r1_filter_1(X0,X2)
| ~ l3_lattices(X2)
| ~ l3_lattices(X1)
| ~ l3_lattices(X0)
| ~ v10_lattices(X2)
| ~ v10_lattices(X1)
| ~ v10_lattices(X0)
| ~ r1_filter_1(X1,X2)
| ~ r1_filter_1(X0,X1) ),
inference(cnf_transformation,[],[f10248]) ).
tcf(c_75,plain,
! [X0: $i] :
( v3_struct_0(X0)
| m1_subset_1(k1_pre_topc(X0),u1_struct_0(k6_lopclset(X0)))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) ),
inference(cnf_transformation,[],[f10249]) ).
tcf(c_76,plain,
! [X0: $i] :
( v3_struct_0(X0)
| m1_subset_1(k2_pre_topc(X0),u1_struct_0(k6_lopclset(X0)))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) ),
inference(cnf_transformation,[],[f10250]) ).
tcf(c_77,plain,
! [X0: $i] :
( v3_struct_0(X0)
| v17_lattices(k6_lopclset(X0))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) ),
inference(cnf_transformation,[],[f10251]) ).
tcf(c_78,plain,
! [X0: $i] :
( v3_struct_0(X0)
| ( u1_struct_0(k6_lopclset(X0)) = k1_lopclset(X0) )
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) ),
inference(cnf_transformation,[],[f10252]) ).
tcf(c_79,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X1)
| ( k4_xboole_0(X0,k4_xboole_0(X0,X2)) = k4_lattices(k6_lopclset(X1),X0,X2) )
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1)
| ~ m1_subset_1(X2,u1_struct_0(k6_lopclset(X1)))
| ~ m1_subset_1(X0,u1_struct_0(k6_lopclset(X1))) ),
inference(cnf_transformation,[],[f14061]) ).
tcf(c_80,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X1)
| ( k3_lattices(k6_lopclset(X1),X0,X2) = k3_tarski(k2_tarski(X0,X2)) )
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1)
| ~ m1_subset_1(X2,u1_struct_0(k6_lopclset(X1)))
| ~ m1_subset_1(X0,u1_struct_0(k6_lopclset(X1))) ),
inference(cnf_transformation,[],[f14062]) ).
tcf(c_81,plain,
! [X0: $i] :
( v3_struct_0(X0)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ v3_struct_0(k6_lopclset(X0)) ),
inference(cnf_transformation,[],[f10257]) ).
tcf(c_82,plain,
! [X0: $i] :
( v3_struct_0(X0)
| v10_lattices(k6_lopclset(X0))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) ),
inference(cnf_transformation,[],[f10256]) ).
tcf(c_83,plain,
! [X0: $i] :
( v3_struct_0(X0)
| l3_lattices(k6_lopclset(X0))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) ),
inference(cnf_transformation,[],[f10255]) ).
tcf(c_84,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_xboole_0(X1)
| r1_tarski(k2_zfmisc_1(k2_enumset1(X0,X0,X0,X0),X2),k2_zfmisc_1(X1,X2))
| ~ m1_subset_1(X0,X1) ),
inference(cnf_transformation,[],[f14063]) ).
tcf(c_85,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k3_tarski(k2_tarski(X0,k2_enumset1(X2,X2,X2,X2))),X1)
| ~ r2_hidden(X2,X1)
| ~ r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f14064]) ).
tcf(c_86,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(X1,X2)
| ~ r1_tarski(k3_tarski(k2_tarski(X0,k2_enumset1(X1,X1,X1,X1))),X2) ),
inference(cnf_transformation,[],[f14065]) ).
tcf(c_89,plain,
! [X0: $i,X1: $i] : r2_hidden(X0,k3_tarski(k2_tarski(X1,k2_enumset1(X0,X0,X0,X0)))),
inference(cnf_transformation,[],[f15072]) ).
tcf(c_90,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(X0,X1)
| ( X0 = X2 )
| ~ r2_hidden(X0,k3_tarski(k2_tarski(X1,k2_enumset1(X2,X2,X2,X2)))) ),
inference(cnf_transformation,[],[f14069]) ).
tcf(c_91,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(X2,X0)
| r1_tarski(X0,X1)
| ~ r1_tarski(X0,k3_tarski(k2_tarski(X1,k2_enumset1(X2,X2,X2,X2)))) ),
inference(cnf_transformation,[],[f14070]) ).
tcf(c_92,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X0 = X3 )
| ~ v1_funct_1(X3)
| ~ v1_funct_1(X0)
| ~ m2_relset_1(X3,X1,k2_enumset1(X2,X2,X2,X2))
| ~ m2_relset_1(X0,X1,k2_enumset1(X2,X2,X2,X2))
| ~ v1_funct_2(X3,X1,k2_enumset1(X2,X2,X2,X2))
| ~ v1_funct_2(X0,X1,k2_enumset1(X2,X2,X2,X2)) ),
inference(cnf_transformation,[],[f14071]) ).
tcf(c_93,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( k1_funct_1(X0,X3) = X2 )
| ~ v1_funct_1(X0)
| ~ r2_hidden(X3,X1)
| ~ m2_relset_1(X0,X1,k2_enumset1(X2,X2,X2,X2))
| ~ v1_funct_2(X0,X1,k2_enumset1(X2,X2,X2,X2)) ),
inference(cnf_transformation,[],[f14072]) ).
tcf(c_94,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2 = np__0 )
| ( k2_enumset1(k1_funct_1(X0,X1),k1_funct_1(X0,X1),k1_funct_1(X0,X1),k1_funct_1(X0,X1)) = k2_relat_1(X0) )
| ~ v1_funct_1(X0)
| ~ m2_relset_1(X0,k2_enumset1(X1,X1,X1,X1),X2)
| ~ v1_funct_2(X0,k2_enumset1(X1,X1,X1,X1),X2) ),
inference(cnf_transformation,[],[f14073]) ).
tcf(c_95,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(k1_funct_1(X0,X1),X2)
| ( X2 = np__0 )
| ~ v1_funct_1(X0)
| ~ m2_relset_1(X0,k2_enumset1(X1,X1,X1,X1),X2)
| ~ v1_funct_2(X0,k2_enumset1(X1,X1,X1,X1),X2) ),
inference(cnf_transformation,[],[f14074]) ).
tcf(c_96,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( m2_relset_1(X1,X3,X2)
| ~ v1_relat_1(X1)
| ~ v1_funct_1(X1)
| ~ r2_hidden(X0,X3)
| ~ r2_hidden(k1_funct_1(X1,X0),X2)
| ( k2_enumset1(X0,X0,X0,X0) != k1_relat_1(X1) ) ),
inference(cnf_transformation,[],[f14076]) ).
tcf(c_97,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k2_relat_1(X0),k2_enumset1(k1_funct_1(X0,X1),k1_funct_1(X0,X1),k1_funct_1(X0,X1),k1_funct_1(X0,X1)))
| ~ v1_funct_1(X0)
| ~ m2_relset_1(X0,k2_enumset1(X1,X1,X1,X1),X2) ),
inference(cnf_transformation,[],[f14077]) ).
tcf(c_98,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( m2_relset_1(k2_enumset1(k2_tarski(k2_tarski(X0,X2),k2_enumset1(X0,X0,X0,X0)),k2_tarski(k2_tarski(X0,X2),k2_enumset1(X0,X0,X0,X0)),k2_tarski(k2_tarski(X0,X2),k2_enumset1(X0,X0,X0,X0)),k2_tarski(k2_tarski(X0,X2),k2_enumset1(X0,X0,X0,X0))),X1,X3)
| ~ r2_hidden(X2,X3)
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f14078]) ).
tcf(c_99,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X2 )
| ~ v1_relat_1(X2)
| ~ v1_relat_1(X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X1)
| ( k1_relat_1(X1) != k1_relat_1(X2) )
| ( k2_enumset1(X0,X0,X0,X0) != k2_relat_1(X2) )
| ( k2_enumset1(X0,X0,X0,X0) != k2_relat_1(X1) ) ),
inference(cnf_transformation,[],[f14079]) ).
tcf(c_100,plain,
! [X0: $i,X1: $i] :
( v1_relat_1(sK46(X0,X1))
| ( X0 = np__0 ) ),
inference(cnf_transformation,[],[f14080]) ).
tcf(c_101,plain,
! [X0: $i,X1: $i] :
( v1_funct_1(sK46(X0,X1))
| ( X0 = np__0 ) ),
inference(cnf_transformation,[],[f14081]) ).
tcf(c_102,plain,
! [X0: $i,X1: $i] :
( ( X0 = np__0 )
| ( k1_relat_1(sK46(X0,X1)) = X0 ) ),
inference(cnf_transformation,[],[f14082]) ).
tcf(c_103,plain,
! [X0: $i,X1: $i] :
( ( X1 = np__0 )
| ( k2_enumset1(X0,X0,X0,X0) = k2_relat_1(sK46(X1,X0)) ) ),
inference(cnf_transformation,[],[f14083]) ).
tcf(c_104,plain,
! [X0: $i,X1: $i] :
( ( k2_enumset1(k1_funct_1(X1,X0),k1_funct_1(X1,X0),k1_funct_1(X1,X0),k1_funct_1(X1,X0)) = k2_relat_1(X1) )
| ~ v1_relat_1(X1)
| ~ v1_funct_1(X1)
| ( k2_enumset1(X0,X0,X0,X0) != k1_relat_1(X1) ) ),
inference(cnf_transformation,[],[f14084]) ).
tcf(c_105,plain,
! [X0: $i,X1: $i] :
( ( k1_relat_1(k2_enumset1(k2_tarski(k2_tarski(X0,X1),k2_enumset1(X0,X0,X0,X0)),k2_tarski(k2_tarski(X0,X1),k2_enumset1(X0,X0,X0,X0)),k2_tarski(k2_tarski(X0,X1),k2_enumset1(X0,X0,X0,X0)),k2_tarski(k2_tarski(X0,X1),k2_enumset1(X0,X0,X0,X0)))) = k2_enumset1(X0,X0,X0,X0) )
| ~ v1_relat_1(k2_enumset1(k2_tarski(k2_tarski(X0,X1),k2_enumset1(X0,X0,X0,X0)),k2_tarski(k2_tarski(X0,X1),k2_enumset1(X0,X0,X0,X0)),k2_tarski(k2_tarski(X0,X1),k2_enumset1(X0,X0,X0,X0)),k2_tarski(k2_tarski(X0,X1),k2_enumset1(X0,X0,X0,X0)))) ),
inference(cnf_transformation,[],[f15073]) ).
tcf(c_106,plain,
! [X0: $i,X1: $i] :
( ( k2_relat_1(k2_enumset1(k2_tarski(k2_tarski(X0,X1),k2_enumset1(X0,X0,X0,X0)),k2_tarski(k2_tarski(X0,X1),k2_enumset1(X0,X0,X0,X0)),k2_tarski(k2_tarski(X0,X1),k2_enumset1(X0,X0,X0,X0)),k2_tarski(k2_tarski(X0,X1),k2_enumset1(X0,X0,X0,X0)))) = k2_enumset1(X1,X1,X1,X1) )
| ~ v1_relat_1(k2_enumset1(k2_tarski(k2_tarski(X0,X1),k2_enumset1(X0,X0,X0,X0)),k2_tarski(k2_tarski(X0,X1),k2_enumset1(X0,X0,X0,X0)),k2_tarski(k2_tarski(X0,X1),k2_enumset1(X0,X0,X0,X0)),k2_tarski(k2_tarski(X0,X1),k2_enumset1(X0,X0,X0,X0)))) ),
inference(cnf_transformation,[],[f15074]) ).
tcf(c_107,plain,
! [X0: $i,X1: $i] : v1_relat_1(k2_enumset1(k2_tarski(k2_tarski(X0,X1),k2_enumset1(X0,X0,X0,X0)),k2_tarski(k2_tarski(X0,X1),k2_enumset1(X0,X0,X0,X0)),k2_tarski(k2_tarski(X0,X1),k2_enumset1(X0,X0,X0,X0)),k2_tarski(k2_tarski(X0,X1),k2_enumset1(X0,X0,X0,X0)))),
inference(cnf_transformation,[],[f14087]) ).
tcf(c_108,plain,
! [X0: $i,X1: $i] :
( m1_subset_1(k2_enumset1(X0,X0,X0,X0),k1_zfmisc_1(X1))
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f14088]) ).
tcf(c_109,plain,
! [X0: $i,X1: $i] :
( m1_subset_1(k2_enumset1(X0,X0,X0,X0),k1_zfmisc_1(X1))
| ( X1 = np__0 )
| ~ m1_subset_1(X0,X1) ),
inference(cnf_transformation,[],[f14089]) ).
tcf(c_111,plain,
! [X0: $i,X1: $i] :
( ( X1 = np__0 )
| ( k2_zfmisc_1(k2_enumset1(X0,X0,X0,X0),X1) != np__0 ) ),
inference(cnf_transformation,[],[f14091]) ).
tcf(c_112,plain,
! [X0: $i,X1: $i] :
( ( X0 = np__0 )
| ( k2_zfmisc_1(X0,k2_enumset1(X1,X1,X1,X1)) != np__0 ) ),
inference(cnf_transformation,[],[f14092]) ).
tcf(c_113,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(k2_tarski(k2_tarski(X0,X2),k2_enumset1(X0,X0,X0,X0)),k2_zfmisc_1(X1,k2_enumset1(X2,X2,X2,X2)))
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f15075]) ).
tcf(c_115,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X1 = X3 )
| ~ r2_hidden(k2_tarski(k2_tarski(X0,X1),k2_enumset1(X0,X0,X0,X0)),k2_zfmisc_1(X2,k2_enumset1(X3,X3,X3,X3))) ),
inference(cnf_transformation,[],[f14095]) ).
tcf(c_116,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(k2_tarski(k2_tarski(X2,X0),k2_enumset1(X2,X2,X2,X2)),k2_zfmisc_1(k2_enumset1(X2,X2,X2,X2),X1))
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f15076]) ).
tcf(c_117,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X0 = X2 )
| ~ r2_hidden(k2_tarski(k2_tarski(X0,X1),k2_enumset1(X0,X0,X0,X0)),k2_zfmisc_1(k2_enumset1(X2,X2,X2,X2),X3)) ),
inference(cnf_transformation,[],[f14097]) ).
tcf(c_119,plain,
! [X0: $i] : r1_tarski(k2_enumset1(X0,X0,X0,X0),k1_zfmisc_1(X0)),
inference(cnf_transformation,[],[f14099]) ).
tcf(c_121,plain,
! [X0: $i,X1: $i] :
( ( k3_tarski(k2_tarski(k2_enumset1(X0,X0,X0,X0),X1)) = X1 )
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f14101]) ).
tcf(c_123,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2 = np__0 )
| ( X1 = np__0 )
| ( X1 = X2 )
| ( k2_enumset1(X0,X0,X0,X0) != k3_tarski(k2_tarski(X1,X2)) ) ),
inference(cnf_transformation,[],[f14103]) ).
tcf(c_124,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = np__0 )
| ( k2_enumset1(X0,X0,X0,X0) = X1 )
| ( k2_enumset1(X0,X0,X0,X0) != k3_tarski(k2_tarski(X1,X2)) ) ),
inference(cnf_transformation,[],[f15362]) ).
tcf(c_126,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k2_enumset1(X0,X0,X0,X0) = X2 )
| ( k2_enumset1(X0,X0,X0,X0) = X1 )
| ( k2_enumset1(X0,X0,X0,X0) != k3_tarski(k2_tarski(X1,X2)) ) ),
inference(cnf_transformation,[],[f15363]) ).
tcf(c_127,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2 = np__0 )
| ( k2_enumset1(X0,X0,X0,X0) = X2 )
| ( k2_enumset1(X0,X0,X0,X0) = X1 )
| ( k2_enumset1(X0,X0,X0,X0) != k3_tarski(k2_tarski(X1,X2)) ) ),
inference(cnf_transformation,[],[f14107]) ).
tcf(c_128,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = np__0 )
| ( k2_enumset1(X0,X0,X0,X0) = X2 )
| ( k2_enumset1(X0,X0,X0,X0) = X1 )
| ( k2_enumset1(X0,X0,X0,X0) != k3_tarski(k2_tarski(X1,X2)) ) ),
inference(cnf_transformation,[],[f14108]) ).
tcf(c_131,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2 = np__0 )
| ( k2_enumset1(X0,X0,X0,X0) = X2 )
| ( k2_enumset1(X0,X0,X0,X0) != k3_tarski(k2_tarski(X1,X2)) ) ),
inference(cnf_transformation,[],[f15365]) ).
tcf(c_132,plain,
! [X0: $i,X1: $i] :
( r2_hidden(sK47(X1,X0),X1)
| ( X1 = np__0 )
| ( k2_enumset1(X0,X0,X0,X0) = X1 ) ),
inference(cnf_transformation,[],[f14112]) ).
tcf(c_133,plain,
! [X0: $i,X1: $i] :
( ( X0 = np__0 )
| ( k2_enumset1(X1,X1,X1,X1) = X0 )
| ( sK47(X0,X1) != X1 ) ),
inference(cnf_transformation,[],[f14113]) ).
tcf(c_136,plain,
! [X0: $i,X1: $i] :
( ( X0 = np__0 )
| ( k2_enumset1(X1,X1,X1,X1) = X0 )
| ~ r1_tarski(X0,k2_enumset1(X1,X1,X1,X1)) ),
inference(cnf_transformation,[],[f14116]) ).
tcf(c_137,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k2_enumset1(X0,X0,X0,X0),X1)
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f14117]) ).
tcf(c_140,plain,
! [X0: $i,X1: $i] : r2_hidden(k2_tarski(k2_tarski(X0,X1),k2_enumset1(X0,X0,X0,X0)),k2_zfmisc_1(k2_enumset1(X0,X0,X0,X0),k2_enumset1(X1,X1,X1,X1))),
inference(cnf_transformation,[],[f15080]) ).
tcf(c_144,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( k3_tarski(k2_tarski(k2_enumset1(X0,X0,X0,X0),k2_enumset1(X1,X1,X1,X1))) != k2_enumset1(X0,X0,X0,X0) ) ),
inference(cnf_transformation,[],[f14124]) ).
tcf(c_146,plain,
k2_enumset1(np__0,np__0,np__0,np__0) = k1_zfmisc_1(np__0),
inference(cnf_transformation,[],[f14126]) ).
tcf(c_147,plain,
! [X0: $i,X1: $i] :
( ( k2_enumset1(X0,X0,X0,X0) = X1 )
| ~ r2_hidden(sK48(X0,X1),X1)
| ( sK48(X0,X1) != X0 ) ),
inference(cnf_transformation,[],[f14127]) ).
tcf(c_148,plain,
! [X0: $i,X1: $i] :
( r2_hidden(sK48(X0,X1),X1)
| ( sK48(X0,X1) = X0 )
| ( k2_enumset1(X0,X0,X0,X0) = X1 ) ),
inference(cnf_transformation,[],[f14128]) ).
tcf(c_150,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ r2_hidden(X0,k2_enumset1(X1,X1,X1,X1)) ),
inference(cnf_transformation,[],[f15083]) ).
tcf(c_151,plain,
! [X0: $i] :
( l1_struct_0(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f10326]) ).
tcf(c_152,plain,
! [X0: $i] :
( l1_struct_0(X0)
| ~ l1_pre_topc(X0) ),
inference(cnf_transformation,[],[f10327]) ).
tcf(c_153,plain,
l1_struct_0(sK49),
inference(cnf_transformation,[],[f10328]) ).
tcf(c_155,plain,
! [X0: $i] :
( v1_xboole_0(u1_struct_0(X0))
| ~ l1_struct_0(X0)
| ~ v3_struct_0(X0) ),
inference(cnf_transformation,[],[f10329]) ).
tcf(c_156,plain,
! [X0: $i] :
( v3_struct_0(X0)
| m1_subset_1(sK50(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_struct_0(X0) ),
inference(cnf_transformation,[],[f10332]) ).
tcf(c_157,plain,
! [X0: $i] :
( v3_struct_0(X0)
| ~ l1_struct_0(X0)
| ~ v1_xboole_0(sK50(X0)) ),
inference(cnf_transformation,[],[f10331]) ).
tcf(c_158,plain,
! [X0: $i] :
( v3_struct_0(X0)
| ~ l1_struct_0(X0)
| ~ v1_xboole_0(u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f10333]) ).
tcf(c_159,plain,
l1_struct_0(sK51),
inference(cnf_transformation,[],[f10335]) ).
tcf(c_160,plain,
~ v3_struct_0(sK51),
inference(cnf_transformation,[],[f10334]) ).
tcf(c_161,plain,
! [X0: $i] : m1_subset_1(sK52(X0),X0),
inference(cnf_transformation,[],[f10336]) ).
tcf(c_162,plain,
! [X0: $i] :
( v3_realset2(X0)
| v3_struct_0(X0)
| v3_lattice4(k13_lopclset(X0),X0,k12_lopclset(X0))
| ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0) ),
inference(cnf_transformation,[],[f10337]) ).
tcf(c_163,plain,
! [X0: $i] :
( v3_realset2(X0)
| v3_struct_0(X0)
| ( u1_struct_0(k12_lopclset(X0)) = k2_relat_1(k13_lopclset(X0)) )
| ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0) ),
inference(cnf_transformation,[],[f10338]) ).
tcf(c_164,plain,
! [X0: $i] :
( v3_realset2(X0)
| v3_struct_0(X0)
| ( k6_lopclset(k11_lopclset(X0)) = k12_lopclset(X0) )
| ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0) ),
inference(cnf_transformation,[],[f10339]) ).
tcf(c_165,plain,
! [X0: $i] :
( v3_realset2(X0)
| v3_struct_0(X0)
| m1_lattice4(k13_lopclset(X0),X0,k12_lopclset(X0))
| ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0) ),
inference(cnf_transformation,[],[f10340]) ).
tcf(c_166,plain,
! [X0: $i] :
( v3_realset2(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| ~ v3_struct_0(k12_lopclset(X0)) ),
inference(cnf_transformation,[],[f10343]) ).
tcf(c_167,plain,
! [X0: $i] :
( v3_realset2(X0)
| v3_struct_0(X0)
| v10_lattices(k12_lopclset(X0))
| ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0) ),
inference(cnf_transformation,[],[f10342]) ).
tcf(c_168,plain,
! [X0: $i] :
( v3_realset2(X0)
| v3_struct_0(X0)
| l3_lattices(k12_lopclset(X0))
| ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0) ),
inference(cnf_transformation,[],[f10341]) ).
tcf(c_169,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| ~ m1_filter_0(X1,X0)
| ~ v3_struct_0(k8_filter_0(X0,X1)) ),
inference(cnf_transformation,[],[f10346]) ).
tcf(c_170,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| v10_lattices(k8_filter_0(X1,X0))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_filter_0(X0,X1) ),
inference(cnf_transformation,[],[f10345]) ).
tcf(c_171,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| l3_lattices(k8_filter_0(X1,X0))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_filter_0(X0,X1) ),
inference(cnf_transformation,[],[f10344]) ).
tcf(c_172,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X0)
| ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ v3_struct_0(k8_filter_0(X0,k2_filter_0(X0,X1))) ),
inference(cnf_transformation,[],[f15366]) ).
tcf(c_173,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| v10_lattices(k8_filter_0(X1,k2_filter_0(X1,X0)))
| ~ l3_lattices(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f15367]) ).
tcf(c_174,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| v17_lattices(k8_filter_0(X1,k2_filter_0(X1,X0)))
| ~ l3_lattices(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f15368]) ).
tcf(c_175,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| l3_lattices(k8_filter_0(X1,k2_filter_0(X1,X0)))
| ~ l3_lattices(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f15369]) ).
tcf(c_176,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| v15_lattices(k8_filter_0(X1,k2_filter_0(X1,X0)))
| ~ v14_lattices(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f15370]) ).
tcf(c_177,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| ( k6_lattices(k8_filter_0(X1,k2_filter_0(X1,X0))) = k6_lattices(X1) )
| ~ v14_lattices(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f10352]) ).
tcf(c_178,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| ( k5_lattices(k8_filter_0(X1,k2_filter_0(X1,X0))) = X0 )
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f10353]) ).
tcf(c_179,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| v13_lattices(k8_filter_0(X1,k2_filter_0(X1,X0)))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f10354]) ).
tcf(c_180,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| v3_filter_0(k8_filter_0(X1,X0))
| ~ v3_filter_0(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_filter_0(X0,X1) ),
inference(cnf_transformation,[],[f15371]) ).
tcf(c_181,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| v11_lattices(k8_filter_0(X1,X0))
| ~ v11_lattices(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_filter_0(X0,X1) ),
inference(cnf_transformation,[],[f10356]) ).
tcf(c_182,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| v14_lattices(k8_filter_0(X1,X0))
| ~ v14_lattices(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_filter_0(X0,X1) ),
inference(cnf_transformation,[],[f10357]) ).
tcf(c_183,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v3_struct_0(X0)
| r3_lattices(X0,X2,X3)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| ~ m1_filter_0(X1,X0)
| ~ m1_subset_1(X3,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X3,u1_struct_0(k8_filter_0(X0,X1)))
| ~ m1_subset_1(X2,u1_struct_0(k8_filter_0(X0,X1)))
| ~ r3_lattices(k8_filter_0(X0,X1),X2,X3) ),
inference(cnf_transformation,[],[f15085]) ).
tcf(c_184,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v3_struct_0(X1)
| r3_lattices(k8_filter_0(X1,X2),X0,X3)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_filter_0(X2,X1)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ r3_lattices(X1,X0,X3)
| ~ m1_subset_1(X3,u1_struct_0(k8_filter_0(X1,X2)))
| ~ m1_subset_1(X0,u1_struct_0(k8_filter_0(X1,X2))) ),
inference(cnf_transformation,[],[f15087]) ).
tcf(c_185,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v3_struct_0(X1)
| ( k3_lattices(k8_filter_0(X1,X2),X0,X3) = k3_lattices(X1,X0,X3) )
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_filter_0(X2,X1)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(k8_filter_0(X1,X2)))
| ~ m1_subset_1(X0,u1_struct_0(k8_filter_0(X1,X2))) ),
inference(cnf_transformation,[],[f15089]) ).
tcf(c_186,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v3_struct_0(X1)
| ( k4_lattices(k8_filter_0(X1,X2),X0,X3) = k4_lattices(X1,X0,X3) )
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_filter_0(X2,X1)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(k8_filter_0(X1,X2)))
| ~ m1_subset_1(X0,u1_struct_0(k8_filter_0(X1,X2))) ),
inference(cnf_transformation,[],[f15091]) ).
tcf(c_187,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| ( u1_struct_0(k8_filter_0(X1,X0)) = X0 )
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_filter_0(X0,X1) ),
inference(cnf_transformation,[],[f10364]) ).
tcf(c_188,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| ( u2_lattices(k8_filter_0(X1,X0)) = k1_realset1(u2_lattices(X1),X0) )
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_filter_0(X0,X1) ),
inference(cnf_transformation,[],[f10363]) ).
tcf(c_189,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| ( k1_realset1(u1_lattices(X1),X0) = u1_lattices(k8_filter_0(X1,X0)) )
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_filter_0(X0,X1) ),
inference(cnf_transformation,[],[f10362]) ).
tcf(c_190,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k8_filter_0(X1,X0) = X2 )
| ~ sP1(X2,X1,X0)
| ~ sP0(X0,X1,X2) ),
inference(cnf_transformation,[],[f10366]) ).
tcf(c_191,plain,
! [X0: $i,X1: $i] :
( sP0(X1,X0,k8_filter_0(X0,X1))
| ~ sP1(k8_filter_0(X0,X1),X0,X1) ),
inference(cnf_transformation,[],[f15092]) ).
tcf(c_202,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X2)
| v3_struct_0(X1)
| sP1(X2,X1,X0)
| ~ l3_lattices(X2)
| ~ l3_lattices(X1)
| ~ v10_lattices(X2)
| ~ v10_lattices(X1)
| ~ m1_filter_0(X0,X1) ),
inference(cnf_transformation,[],[f10377]) ).
tcf(c_212,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| sP2(X0,X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_filter_0(X0,X1) ),
inference(cnf_transformation,[],[f10387]) ).
tcf(c_213,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X0)
| ( X1 = X2 )
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ( k2_filter_0(X0,X1) != k2_filter_0(X0,X2) ) ),
inference(cnf_transformation,[],[f10388]) ).
tcf(c_214,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| m1_filter_0(k2_filter_0(X1,X0),X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f10389]) ).
tcf(c_215,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_xboole_0(X0)
| v3_struct_0(X1)
| r1_tarski(k2_filter_0(X1,X2),k3_filter_0(X1,X0))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ r2_hidden(X2,X0)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(cnf_transformation,[],[f10390]) ).
tcf(c_216,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X0)
| ( k4_lattices(X0,X1,X2) = X1 )
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ( k2_filter_0(X0,X1) != u1_struct_0(X0) ) ),
inference(cnf_transformation,[],[f10391]) ).
tcf(c_217,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X1)
| r2_hidden(X0,k2_filter_0(X1,X0))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f10394]) ).
tcf(c_218,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X1)
| r2_hidden(k3_lattices(X1,X0,X2),k2_filter_0(X1,X0))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f10393]) ).
tcf(c_219,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X1)
| r2_hidden(k3_lattices(X1,X2,X0),k2_filter_0(X1,X0))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f10392]) ).
tcf(c_220,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X0)
| r2_hidden(X2,k2_filter_0(X0,X1))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ r3_lattices(X0,X1,X2) ),
inference(cnf_transformation,[],[f10396]) ).
tcf(c_221,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X1)
| r3_lattices(X1,X2,X0)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ r2_hidden(X0,k2_filter_0(X1,X2)) ),
inference(cnf_transformation,[],[f10395]) ).
tcf(c_223,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| v3_struct_0(X0)
| l3_lattices(k8_filter_1(X0,X1))
| ~ l3_lattices(X1)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f10397]) ).
tcf(c_224,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| v3_struct_0(X0)
| ( k8_filter_1(k1_lattice2(X0),k1_lattice2(X1)) = k1_lattice2(k8_filter_1(X0,X1)) )
| ~ l3_lattices(X1)
| ~ l3_lattices(X0)
| ~ v10_lattices(X1)
| ~ v10_lattices(X0) ),
inference(cnf_transformation,[],[f10399]) ).
tcf(c_225,plain,
! [X0: $i,X1: $i] :
( v3_filter_0(X0)
| v3_struct_0(X1)
| v3_struct_0(X0)
| ~ l3_lattices(X1)
| ~ l3_lattices(X0)
| ~ v10_lattices(X1)
| ~ v10_lattices(X0)
| ~ v3_filter_0(k8_filter_1(X0,X1)) ),
inference(cnf_transformation,[],[f10402]) ).
tcf(c_226,plain,
! [X0: $i,X1: $i] :
( v3_filter_0(X1)
| v3_struct_0(X1)
| v3_struct_0(X0)
| ~ l3_lattices(X1)
| ~ l3_lattices(X0)
| ~ v10_lattices(X1)
| ~ v10_lattices(X0)
| ~ v3_filter_0(k8_filter_1(X0,X1)) ),
inference(cnf_transformation,[],[f10401]) ).
tcf(c_227,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| v3_struct_0(X0)
| v3_filter_0(k8_filter_1(X0,X1))
| ~ v3_filter_0(X1)
| ~ v3_filter_0(X0)
| ~ l3_lattices(X1)
| ~ l3_lattices(X0)
| ~ v10_lattices(X1)
| ~ v10_lattices(X0) ),
inference(cnf_transformation,[],[f10400]) ).
tcf(c_228,plain,
! [X0: $i,X1: $i] :
( sP3(X0,X1)
| v3_struct_0(k8_filter_1(X0,X1))
| ~ sP4(X1,X0)
| ~ l3_lattices(k8_filter_1(X0,X1))
| ~ v17_lattices(k8_filter_1(X0,X1))
| ~ v10_lattices(k8_filter_1(X0,X1)) ),
inference(cnf_transformation,[],[f10407]) ).
tcf(c_229,plain,
! [X0: $i,X1: $i] :
( ~ sP4(X1,X0)
| ~ sP3(X0,X1)
| ~ v3_struct_0(k8_filter_1(X0,X1)) ),
inference(cnf_transformation,[],[f10406]) ).
tcf(c_230,plain,
! [X0: $i,X1: $i] :
( v10_lattices(k8_filter_1(X0,X1))
| ~ sP4(X1,X0)
| ~ sP3(X0,X1) ),
inference(cnf_transformation,[],[f10405]) ).
tcf(c_231,plain,
! [X0: $i,X1: $i] :
( v17_lattices(k8_filter_1(X0,X1))
| ~ sP4(X1,X0)
| ~ sP3(X0,X1) ),
inference(cnf_transformation,[],[f10404]) ).
tcf(c_232,plain,
! [X0: $i,X1: $i] :
( l3_lattices(k8_filter_1(X0,X1))
| ~ sP4(X1,X0)
| ~ sP3(X0,X1) ),
inference(cnf_transformation,[],[f10403]) ).
tcf(c_242,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| v3_struct_0(X0)
| sP4(X1,X0)
| ~ l3_lattices(X1)
| ~ l3_lattices(X0)
| ~ v10_lattices(X1)
| ~ v10_lattices(X0) ),
inference(cnf_transformation,[],[f10417]) ).
tcf(c_243,plain,
! [X0: $i,X1: $i] :
( v15_lattices(X0)
| v3_struct_0(X1)
| v3_struct_0(X0)
| ~ l3_lattices(X1)
| ~ l3_lattices(X0)
| ~ v10_lattices(X1)
| ~ v10_lattices(X0)
| ~ v15_lattices(k8_filter_1(X0,X1)) ),
inference(cnf_transformation,[],[f10420]) ).
tcf(c_244,plain,
! [X0: $i,X1: $i] :
( v15_lattices(X1)
| v3_struct_0(X1)
| v3_struct_0(X0)
| ~ l3_lattices(X1)
| ~ l3_lattices(X0)
| ~ v10_lattices(X1)
| ~ v10_lattices(X0)
| ~ v15_lattices(k8_filter_1(X0,X1)) ),
inference(cnf_transformation,[],[f10419]) ).
tcf(c_245,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| v3_struct_0(X0)
| v15_lattices(k8_filter_1(X0,X1))
| ~ v15_lattices(X1)
| ~ v15_lattices(X0)
| ~ l3_lattices(X1)
| ~ l3_lattices(X0)
| ~ v10_lattices(X1)
| ~ v10_lattices(X0) ),
inference(cnf_transformation,[],[f10418]) ).
tcf(c_246,plain,
! [X0: $i,X1: $i] :
( v14_lattices(X0)
| v3_struct_0(X1)
| v3_struct_0(X0)
| ~ l3_lattices(X1)
| ~ l3_lattices(X0)
| ~ v10_lattices(X1)
| ~ v10_lattices(X0)
| ~ v14_lattices(k8_filter_1(X0,X1)) ),
inference(cnf_transformation,[],[f10423]) ).
tcf(c_247,plain,
! [X0: $i,X1: $i] :
( v14_lattices(X1)
| v3_struct_0(X1)
| v3_struct_0(X0)
| ~ l3_lattices(X1)
| ~ l3_lattices(X0)
| ~ v10_lattices(X1)
| ~ v10_lattices(X0)
| ~ v14_lattices(k8_filter_1(X0,X1)) ),
inference(cnf_transformation,[],[f10422]) ).
tcf(c_248,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| v3_struct_0(X0)
| v14_lattices(k8_filter_1(X0,X1))
| ~ v14_lattices(X1)
| ~ v14_lattices(X0)
| ~ l3_lattices(X1)
| ~ l3_lattices(X0)
| ~ v10_lattices(X1)
| ~ v10_lattices(X0) ),
inference(cnf_transformation,[],[f10421]) ).
tcf(c_249,plain,
! [X0: $i,X1: $i] :
( v13_lattices(X0)
| v3_struct_0(X1)
| v3_struct_0(X0)
| ~ l3_lattices(X1)
| ~ l3_lattices(X0)
| ~ v10_lattices(X1)
| ~ v10_lattices(X0)
| ~ v13_lattices(k8_filter_1(X0,X1)) ),
inference(cnf_transformation,[],[f10426]) ).
tcf(c_250,plain,
! [X0: $i,X1: $i] :
( v13_lattices(X1)
| v3_struct_0(X1)
| v3_struct_0(X0)
| ~ l3_lattices(X1)
| ~ l3_lattices(X0)
| ~ v10_lattices(X1)
| ~ v10_lattices(X0)
| ~ v13_lattices(k8_filter_1(X0,X1)) ),
inference(cnf_transformation,[],[f10425]) ).
tcf(c_251,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| v3_struct_0(X0)
| v13_lattices(k8_filter_1(X0,X1))
| ~ v13_lattices(X1)
| ~ v13_lattices(X0)
| ~ l3_lattices(X1)
| ~ l3_lattices(X0)
| ~ v10_lattices(X1)
| ~ v10_lattices(X0) ),
inference(cnf_transformation,[],[f10424]) ).
tcf(c_252,plain,
! [X0: $i,X1: $i] :
( sP5(X0,X1)
| v3_struct_0(k8_filter_1(X0,X1))
| ~ sP6(X1,X0)
| ~ v11_lattices(k8_filter_1(X0,X1))
| ~ l3_lattices(k8_filter_1(X0,X1))
| ~ v10_lattices(k8_filter_1(X0,X1)) ),
inference(cnf_transformation,[],[f10431]) ).
tcf(c_253,plain,
! [X0: $i,X1: $i] :
( ~ sP6(X1,X0)
| ~ sP5(X0,X1)
| ~ v3_struct_0(k8_filter_1(X0,X1)) ),
inference(cnf_transformation,[],[f10430]) ).
tcf(c_254,plain,
! [X0: $i,X1: $i] :
( v10_lattices(k8_filter_1(X0,X1))
| ~ sP6(X1,X0)
| ~ sP5(X0,X1) ),
inference(cnf_transformation,[],[f10429]) ).
tcf(c_255,plain,
! [X0: $i,X1: $i] :
( v11_lattices(k8_filter_1(X0,X1))
| ~ sP6(X1,X0)
| ~ sP5(X0,X1) ),
inference(cnf_transformation,[],[f10428]) ).
tcf(c_256,plain,
! [X0: $i,X1: $i] :
( l3_lattices(k8_filter_1(X0,X1))
| ~ sP6(X1,X0)
| ~ sP5(X0,X1) ),
inference(cnf_transformation,[],[f10427]) ).
tcf(c_266,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| v3_struct_0(X0)
| sP6(X1,X0)
| ~ l3_lattices(X1)
| ~ l3_lattices(X0)
| ~ v10_lattices(X1)
| ~ v10_lattices(X0) ),
inference(cnf_transformation,[],[f10441]) ).
tcf(c_267,plain,
! [X0: $i,X1: $i] :
( v10_lattices(X0)
| v3_struct_0(X1)
| v3_struct_0(X0)
| v3_struct_0(k8_filter_1(X0,X1))
| ~ l3_lattices(X1)
| ~ l3_lattices(X0)
| ~ l3_lattices(k8_filter_1(X0,X1))
| ~ v10_lattices(k8_filter_1(X0,X1)) ),
inference(cnf_transformation,[],[f10446]) ).
tcf(c_268,plain,
! [X0: $i,X1: $i] :
( v10_lattices(X1)
| v3_struct_0(X1)
| v3_struct_0(X0)
| v3_struct_0(k8_filter_1(X0,X1))
| ~ l3_lattices(X1)
| ~ l3_lattices(X0)
| ~ l3_lattices(k8_filter_1(X0,X1))
| ~ v10_lattices(k8_filter_1(X0,X1)) ),
inference(cnf_transformation,[],[f10443]) ).
tcf(c_278,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| v3_struct_0(X0)
| sP7(X1,X0)
| ~ l3_lattices(X1)
| ~ l3_lattices(X0)
| ~ v10_lattices(X1)
| ~ v10_lattices(X0) ),
inference(cnf_transformation,[],[f10457]) ).
tcf(c_279,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| v3_struct_0(X0)
| ~ l3_lattices(X1)
| ~ l3_lattices(X0)
| ~ v3_struct_0(k8_filter_1(X0,X1)) ),
inference(cnf_transformation,[],[f10459]) ).
tcf(c_280,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| v3_struct_0(X0)
| v3_lattices(k8_filter_1(X0,X1))
| ~ l3_lattices(X1)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f10458]) ).
tcf(c_281,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| ~ m1_filter_0(X1,X0)
| ~ v3_struct_0(k5_filter_1(X0,X1)) ),
inference(cnf_transformation,[],[f10463]) ).
tcf(c_282,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| v3_lattices(k5_filter_1(X1,X0))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_filter_0(X0,X1) ),
inference(cnf_transformation,[],[f10462]) ).
tcf(c_283,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| v10_lattices(k5_filter_1(X1,X0))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_filter_0(X0,X1) ),
inference(cnf_transformation,[],[f10461]) ).
tcf(c_284,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| l3_lattices(k5_filter_1(X1,X0))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_filter_0(X0,X1) ),
inference(cnf_transformation,[],[f10460]) ).
tcf(c_286,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| v10_lattices(k5_filter_1(X1,X0))
| ~ l3_lattices(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_filter_0(X0,X1) ),
inference(cnf_transformation,[],[f10466]) ).
tcf(c_287,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| v17_lattices(k5_filter_1(X1,X0))
| ~ l3_lattices(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_filter_0(X0,X1) ),
inference(cnf_transformation,[],[f10465]) ).
tcf(c_288,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| l3_lattices(k5_filter_1(X1,X0))
| ~ l3_lattices(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_filter_0(X0,X1) ),
inference(cnf_transformation,[],[f10464]) ).
tcf(c_289,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| v3_filter_0(k5_filter_1(X1,X0))
| ~ v3_filter_0(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_filter_0(X0,X1) ),
inference(cnf_transformation,[],[f10468]) ).
tcf(c_290,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X2)
| v3_struct_0(X0)
| ( k5_filter_1(X0,X1) = X2 )
| ~ v3_lattices(X2)
| ~ v3_filter_0(X0)
| ~ l3_lattices(X2)
| ~ l3_lattices(X0)
| ~ v10_lattices(X2)
| ~ v10_lattices(X0)
| ~ m1_filter_0(X1,X0)
| ( g3_lattices(k8_eqrel_1(u1_struct_0(X0),sK55(X0,X1,X2)),k4_filter_1(u1_struct_0(X0),sK55(X0,X1,X2),u2_lattices(X0)),k4_filter_1(u1_struct_0(X0),sK55(X0,X1,X2),u1_lattices(X0))) != X2 ) ),
inference(cnf_transformation,[],[f15372]) ).
tcf(c_291,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X2)
| v3_struct_0(X1)
| ( k5_filter_1(X1,X0) = X2 )
| ( sK55(X1,X0,X2) = k10_filter_0(X1,X0) )
| ~ v3_lattices(X2)
| ~ v3_filter_0(X1)
| ~ l3_lattices(X2)
| ~ l3_lattices(X1)
| ~ v10_lattices(X2)
| ~ v10_lattices(X1)
| ~ m1_filter_0(X0,X1) ),
inference(cnf_transformation,[],[f15373]) ).
tcf(c_292,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X2)
| v3_struct_0(X1)
| v3_relat_2(sK55(X1,X0,X2))
| ( k5_filter_1(X1,X0) = X2 )
| ~ v3_lattices(X2)
| ~ v3_filter_0(X1)
| ~ l3_lattices(X2)
| ~ l3_lattices(X1)
| ~ v10_lattices(X2)
| ~ v10_lattices(X1)
| ~ m1_filter_0(X0,X1) ),
inference(cnf_transformation,[],[f15374]) ).
tcf(c_293,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X2)
| v3_struct_0(X1)
| v8_relat_2(sK55(X1,X0,X2))
| ( k5_filter_1(X1,X0) = X2 )
| ~ v3_lattices(X2)
| ~ v3_filter_0(X1)
| ~ l3_lattices(X2)
| ~ l3_lattices(X1)
| ~ v10_lattices(X2)
| ~ v10_lattices(X1)
| ~ m1_filter_0(X0,X1) ),
inference(cnf_transformation,[],[f15375]) ).
tcf(c_294,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X2)
| v3_struct_0(X1)
| v1_partfun1(sK55(X1,X0,X2),u1_struct_0(X1),u1_struct_0(X1))
| ( k5_filter_1(X1,X0) = X2 )
| ~ v3_lattices(X2)
| ~ v3_filter_0(X1)
| ~ l3_lattices(X2)
| ~ l3_lattices(X1)
| ~ v10_lattices(X2)
| ~ v10_lattices(X1)
| ~ m1_filter_0(X0,X1) ),
inference(cnf_transformation,[],[f15376]) ).
tcf(c_295,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X2)
| v3_struct_0(X1)
| m2_relset_1(sK55(X1,X0,X2),u1_struct_0(X1),u1_struct_0(X1))
| ( k5_filter_1(X1,X0) = X2 )
| ~ v3_lattices(X2)
| ~ v3_filter_0(X1)
| ~ l3_lattices(X2)
| ~ l3_lattices(X1)
| ~ v10_lattices(X2)
| ~ v10_lattices(X1)
| ~ m1_filter_0(X0,X1) ),
inference(cnf_transformation,[],[f15377]) ).
tcf(c_296,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X0)
| v3_struct_0(k5_filter_1(X0,X1))
| ( g3_lattices(k8_eqrel_1(u1_struct_0(X0),k10_filter_0(X0,X1)),k4_filter_1(u1_struct_0(X0),k10_filter_0(X0,X1),u2_lattices(X0)),k4_filter_1(u1_struct_0(X0),k10_filter_0(X0,X1),u1_lattices(X0))) = k5_filter_1(X0,X1) )
| ~ v3_filter_0(X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| ~ m1_filter_0(X1,X0)
| ~ v8_relat_2(k10_filter_0(X0,X1))
| ~ v3_relat_2(k10_filter_0(X0,X1))
| ~ v3_lattices(k5_filter_1(X0,X1))
| ~ l3_lattices(k5_filter_1(X0,X1))
| ~ v10_lattices(k5_filter_1(X0,X1))
| ~ v1_partfun1(k10_filter_0(X0,X1),u1_struct_0(X0),u1_struct_0(X0))
| ~ m2_relset_1(k10_filter_0(X0,X1),u1_struct_0(X0),u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f15378]) ).
tcf(c_297,plain,
! [X0: $i] :
( v3_struct_0(X0)
| m2_subset_1(k1_pre_topc(X0),k1_zfmisc_1(u1_struct_0(X0)),k1_lopclset(X0))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) ),
inference(cnf_transformation,[],[f10476]) ).
tcf(c_299,plain,
! [X0: $i] :
( ( k1_tops_1(X0,k1_pre_topc(X0)) = k1_pre_topc(X0) )
| ~ l1_pre_topc(X0) ),
inference(cnf_transformation,[],[f10478]) ).
tcf(c_301,plain,
! [X0: $i] :
( ( k3_subset_1(u1_struct_0(X0),k2_pre_topc(X0)) = k1_pre_topc(X0) )
| ~ l1_struct_0(X0) ),
inference(cnf_transformation,[],[f10480]) ).
tcf(c_303,plain,
! [X0: $i] :
( v3_pre_topc(k1_pre_topc(X0),X0)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) ),
inference(cnf_transformation,[],[f10487]) ).
tcf(c_310,plain,
! [X0: $i] :
( v1_xboole_0(k1_tops_1(X0,k1_pre_topc(X0)))
| ~ l1_pre_topc(X0) ),
inference(cnf_transformation,[],[f10494]) ).
tcf(c_311,plain,
! [X0: $i] :
( v1_membered(k1_tops_1(X0,k1_pre_topc(X0)))
| ~ l1_pre_topc(X0) ),
inference(cnf_transformation,[],[f10493]) ).
tcf(c_312,plain,
! [X0: $i] :
( v2_membered(k1_tops_1(X0,k1_pre_topc(X0)))
| ~ l1_pre_topc(X0) ),
inference(cnf_transformation,[],[f10492]) ).
tcf(c_313,plain,
! [X0: $i] :
( v3_membered(k1_tops_1(X0,k1_pre_topc(X0)))
| ~ l1_pre_topc(X0) ),
inference(cnf_transformation,[],[f10491]) ).
tcf(c_314,plain,
! [X0: $i] :
( v4_membered(k1_tops_1(X0,k1_pre_topc(X0)))
| ~ l1_pre_topc(X0) ),
inference(cnf_transformation,[],[f10490]) ).
tcf(c_315,plain,
! [X0: $i] :
( v5_membered(k1_tops_1(X0,k1_pre_topc(X0)))
| ~ l1_pre_topc(X0) ),
inference(cnf_transformation,[],[f10489]) ).
tcf(c_316,plain,
! [X0: $i] :
( v1_xboole_0(k1_pre_topc(X0))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) ),
inference(cnf_transformation,[],[f10501]) ).
tcf(c_317,plain,
! [X0: $i] :
( v4_pre_topc(k1_pre_topc(X0),X0)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) ),
inference(cnf_transformation,[],[f10500]) ).
tcf(c_318,plain,
! [X0: $i] :
( v1_membered(k1_pre_topc(X0))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) ),
inference(cnf_transformation,[],[f10499]) ).
tcf(c_319,plain,
! [X0: $i] :
( v2_membered(k1_pre_topc(X0))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) ),
inference(cnf_transformation,[],[f10498]) ).
tcf(c_320,plain,
! [X0: $i] :
( v3_membered(k1_pre_topc(X0))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) ),
inference(cnf_transformation,[],[f10497]) ).
tcf(c_321,plain,
! [X0: $i] :
( v4_membered(k1_pre_topc(X0))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) ),
inference(cnf_transformation,[],[f10496]) ).
tcf(c_322,plain,
! [X0: $i] :
( v5_membered(k1_pre_topc(X0))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) ),
inference(cnf_transformation,[],[f10495]) ).
tcf(c_323,plain,
! [X0: $i] :
( m1_subset_1(k1_pre_topc(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_struct_0(X0) ),
inference(cnf_transformation,[],[f10502]) ).
tcf(c_324,plain,
! [X0: $i,X1: $i] :
( r2_hidden(sK56(X1,X0),X0)
| ( k1_pre_topc(X1) = X0 )
| ~ l1_pre_topc(X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(cnf_transformation,[],[f10504]) ).
tcf(c_325,plain,
! [X0: $i,X1: $i] :
( m1_subset_1(sK56(X1,X0),u1_struct_0(X1))
| ( k1_pre_topc(X1) = X0 )
| ~ l1_pre_topc(X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(cnf_transformation,[],[f10503]) ).
tcf(c_326,plain,
! [X0: $i] :
( ( k3_subset_1(u1_struct_0(X0),k1_pre_topc(X0)) = k2_pre_topc(X0) )
| ~ l1_struct_0(X0) ),
inference(cnf_transformation,[],[f10505]) ).
tcf(c_327,plain,
! [X0: $i] :
( ( k1_pre_topc(X0) = np__0 )
| ~ l1_struct_0(X0) ),
inference(cnf_transformation,[],[f14131]) ).
tcf(c_328,plain,
! [X0: $i] :
( v1_xboole_0(k1_pre_topc(X0))
| ~ l1_struct_0(X0) ),
inference(cnf_transformation,[],[f10512]) ).
tcf(c_329,plain,
! [X0: $i] :
( v1_membered(k1_pre_topc(X0))
| ~ l1_struct_0(X0) ),
inference(cnf_transformation,[],[f10511]) ).
tcf(c_330,plain,
! [X0: $i] :
( v2_membered(k1_pre_topc(X0))
| ~ l1_struct_0(X0) ),
inference(cnf_transformation,[],[f10510]) ).
tcf(c_331,plain,
! [X0: $i] :
( v3_membered(k1_pre_topc(X0))
| ~ l1_struct_0(X0) ),
inference(cnf_transformation,[],[f10509]) ).
tcf(c_332,plain,
! [X0: $i] :
( v4_membered(k1_pre_topc(X0))
| ~ l1_struct_0(X0) ),
inference(cnf_transformation,[],[f10508]) ).
tcf(c_333,plain,
! [X0: $i] :
( v5_membered(k1_pre_topc(X0))
| ~ l1_struct_0(X0) ),
inference(cnf_transformation,[],[f10507]) ).
tcf(c_334,plain,
! [X0: $i] :
( v3_struct_0(X0)
| m2_subset_1(k2_pre_topc(X0),k1_zfmisc_1(u1_struct_0(X0)),k1_lopclset(X0))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) ),
inference(cnf_transformation,[],[f10513]) ).
tcf(c_336,plain,
! [X0: $i] :
( ( k1_tops_1(X0,k2_pre_topc(X0)) = k2_pre_topc(X0) )
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) ),
inference(cnf_transformation,[],[f10515]) ).
tcf(c_337,plain,
! [X0: $i] :
( ( k6_pre_topc(X0,k2_pre_topc(X0)) = k2_pre_topc(X0) )
| ~ l1_pre_topc(X0) ),
inference(cnf_transformation,[],[f10516]) ).
tcf(c_338,plain,
! [X0: $i,X1: $i] :
( ( k4_subset_1(u1_struct_0(X1),X0,k2_pre_topc(X1)) = k2_pre_topc(X1) )
| ~ l1_struct_0(X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(cnf_transformation,[],[f10517]) ).
tcf(c_339,plain,
! [X0: $i] :
( v3_pre_topc(k2_pre_topc(X0),X0)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) ),
inference(cnf_transformation,[],[f10519]) ).
tcf(c_341,plain,
! [X0: $i] :
( m1_subset_1(k2_pre_topc(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_struct_0(X0) ),
inference(cnf_transformation,[],[f10520]) ).
tcf(c_342,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k4_xboole_0(k6_pre_topc(X1,X0),k4_xboole_0(k6_pre_topc(X1,X0),k2_pre_topc(X2))) = k6_pre_topc(X2,X0) )
| ~ l1_pre_topc(X1)
| ~ m1_pre_topc(X2,X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X2)))
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(cnf_transformation,[],[f15098]) ).
tcf(c_343,plain,
! [X0: $i,X1: $i,X2: $i] :
( v4_pre_topc(k4_xboole_0(X0,k4_xboole_0(X0,k2_pre_topc(X1))),X1)
| ~ l1_pre_topc(X2)
| ~ m1_pre_topc(X1,X2)
| ~ v4_pre_topc(X0,X2)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X2)))
| ~ m1_subset_1(k4_xboole_0(X0,k4_xboole_0(X0,k2_pre_topc(X1))),k1_zfmisc_1(u1_struct_0(X1))) ),
inference(cnf_transformation,[],[f15099]) ).
tcf(c_344,plain,
! [X0: $i,X1: $i,X2: $i] :
( m1_subset_1(sK57(X2,X1,X0),k1_zfmisc_1(u1_struct_0(X2)))
| ~ l1_pre_topc(X2)
| ~ m1_pre_topc(X1,X2)
| ~ v4_pre_topc(X0,X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(cnf_transformation,[],[f10524]) ).
tcf(c_345,plain,
! [X0: $i,X1: $i,X2: $i] :
( v4_pre_topc(sK57(X2,X1,X0),X2)
| ~ l1_pre_topc(X2)
| ~ m1_pre_topc(X1,X2)
| ~ v4_pre_topc(X0,X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(cnf_transformation,[],[f10523]) ).
tcf(c_346,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k4_xboole_0(sK57(X2,X1,X0),k4_xboole_0(sK57(X2,X1,X0),k2_pre_topc(X1))) = X0 )
| ~ l1_pre_topc(X2)
| ~ m1_pre_topc(X1,X2)
| ~ v4_pre_topc(X0,X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(cnf_transformation,[],[f14134]) ).
tcf(c_348,plain,
! [X0: $i,X1: $i] :
( ( k4_subset_1(u1_struct_0(X1),X0,k3_subset_1(u1_struct_0(X1),X0)) = k2_pre_topc(X1) )
| ~ l1_struct_0(X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(cnf_transformation,[],[f10527]) ).
tcf(c_349,plain,
! [X0: $i,X1: $i] :
( m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1)))
| ~ l1_struct_0(X1)
| ~ r1_tarski(X0,k2_pre_topc(X1)) ),
inference(cnf_transformation,[],[f10528]) ).
tcf(c_350,plain,
! [X0: $i,X1: $i] :
( ( k5_subset_1(u1_struct_0(X1),X0,k2_pre_topc(X1)) = X0 )
| ~ l1_struct_0(X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(cnf_transformation,[],[f10529]) ).
tcf(c_351,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,k2_pre_topc(X1))
| ~ l1_struct_0(X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(cnf_transformation,[],[f10530]) ).
tcf(c_352,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| r2_hidden(X0,k2_pre_topc(X1))
| ~ l1_struct_0(X1)
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f10531]) ).
tcf(c_354,plain,
! [X0: $i] :
( ( u1_struct_0(X0) = k2_pre_topc(X0) )
| ~ l1_struct_0(X0) ),
inference(cnf_transformation,[],[f10533]) ).
tcf(c_355,plain,
! [X0: $i] :
( v4_pre_topc(k2_pre_topc(X0),X0)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) ),
inference(cnf_transformation,[],[f10534]) ).
tcf(c_356,plain,
! [X0: $i] :
( v3_struct_0(X0)
| ~ l1_struct_0(X0)
| ~ v1_xboole_0(k2_pre_topc(X0)) ),
inference(cnf_transformation,[],[f10535]) ).
tcf(c_357,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| m2_subset_1(k3_subset_1(u1_struct_0(X1),X0),k1_zfmisc_1(u1_struct_0(X1)),k1_lopclset(X1))
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1)
| ~ m2_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1)),k1_lopclset(X1)) ),
inference(cnf_transformation,[],[f10536]) ).
tcf(c_358,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| r2_hidden(X0,k1_lopclset(X1))
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1)
| ~ v4_pre_topc(X0,X1)
| ~ v3_pre_topc(X0,X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(cnf_transformation,[],[f10537]) ).
tcf(c_359,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| v4_pre_topc(X0,X1)
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1)
| ~ r2_hidden(X0,k1_lopclset(X1))
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(cnf_transformation,[],[f10538]) ).
tcf(c_360,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| v3_pre_topc(X0,X1)
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1)
| ~ r2_hidden(X0,k1_lopclset(X1))
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(cnf_transformation,[],[f10539]) ).
tcf(c_361,plain,
! [X0: $i] :
( v3_struct_0(X0)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ v1_xboole_0(k1_lopclset(X0)) ),
inference(cnf_transformation,[],[f10540]) ).
tcf(c_362,plain,
! [X0: $i] :
( v3_struct_0(X0)
| m1_subset_1(k1_lopclset(X0),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(X0))))
| ~ l1_pre_topc(X0) ),
inference(cnf_transformation,[],[f10541]) ).
tcf(c_363,plain,
! [X0: $i,X1: $i] : k4_xboole_0(k5_finsub_1(X0),k4_xboole_0(k5_finsub_1(X0),k5_finsub_1(X1))) = k5_finsub_1(k4_xboole_0(X0,k4_xboole_0(X0,X1))),
inference(cnf_transformation,[],[f14135]) ).
tcf(c_366,plain,
! [X0: $i,X1: $i] :
( v1_finset_1(k4_xboole_0(X1,k4_xboole_0(X1,X0)))
| ~ v1_finset_1(X0) ),
inference(cnf_transformation,[],[f14138]) ).
tcf(c_367,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k1_funct_1(X1,X0) = k1_funct_1(X2,X0) )
| ~ v1_relat_1(X2)
| ~ v1_relat_1(X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(k3_tarski(k2_tarski(X1,X2)))
| ~ v1_funct_1(k3_tarski(k2_tarski(X1,X2)))
| ~ r2_hidden(X0,k4_xboole_0(k1_relat_1(X1),k4_xboole_0(k1_relat_1(X1),k1_relat_1(X2)))) ),
inference(cnf_transformation,[],[f15100]) ).
tcf(c_368,plain,
! [X0: $i,X1: $i] :
( ( k3_tarski(k2_tarski(X0,X1)) = sK59(X0,X1) )
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X0)
| ( k1_funct_1(X0,sK58(X0,X1)) != k1_funct_1(X1,sK58(X0,X1)) ) ),
inference(cnf_transformation,[],[f14140]) ).
tcf(c_369,plain,
! [X0: $i,X1: $i] :
( v1_relat_1(sK59(X0,X1))
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X0)
| ( k1_funct_1(X0,sK58(X0,X1)) != k1_funct_1(X1,sK58(X0,X1)) ) ),
inference(cnf_transformation,[],[f10551]) ).
tcf(c_370,plain,
! [X0: $i,X1: $i] :
( v1_funct_1(sK59(X0,X1))
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X0)
| ( k1_funct_1(X0,sK58(X0,X1)) != k1_funct_1(X1,sK58(X0,X1)) ) ),
inference(cnf_transformation,[],[f10550]) ).
tcf(c_371,plain,
! [X0: $i,X1: $i] :
( r2_hidden(sK58(X0,X1),k4_xboole_0(k1_relat_1(X0),k4_xboole_0(k1_relat_1(X0),k1_relat_1(X1))))
| ( k3_tarski(k2_tarski(X0,X1)) = sK59(X0,X1) )
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X0) ),
inference(cnf_transformation,[],[f14141]) ).
tcf(c_372,plain,
! [X0: $i,X1: $i] :
( v1_relat_1(sK59(X0,X1))
| r2_hidden(sK58(X0,X1),k4_xboole_0(k1_relat_1(X0),k4_xboole_0(k1_relat_1(X0),k1_relat_1(X1))))
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X0) ),
inference(cnf_transformation,[],[f14142]) ).
tcf(c_373,plain,
! [X0: $i,X1: $i] :
( v1_funct_1(sK59(X0,X1))
| r2_hidden(sK58(X0,X1),k4_xboole_0(k1_relat_1(X0),k4_xboole_0(k1_relat_1(X0),k1_relat_1(X1))))
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X0) ),
inference(cnf_transformation,[],[f14143]) ).
tcf(c_374,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k2_relat_1(k4_xboole_0(X0,k4_xboole_0(X0,X1))),k4_xboole_0(k2_relat_1(X0),k4_xboole_0(k2_relat_1(X0),k2_relat_1(X1))))
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f14144]) ).
tcf(c_375,plain,
! [X0: $i] :
( ( k4_xboole_0(X0,k4_xboole_0(X0,k2_zfmisc_1(k1_relat_1(X0),k2_relat_1(X0)))) = X0 )
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f14145]) ).
tcf(c_376,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k1_relat_1(k4_xboole_0(X0,k4_xboole_0(X0,X1))),k4_xboole_0(k1_relat_1(X0),k4_xboole_0(k1_relat_1(X0),k1_relat_1(X1))))
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f14146]) ).
tcf(c_377,plain,
! [X0: $i,X1: $i] :
( v1_relat_1(k4_xboole_0(X1,k4_xboole_0(X1,X0)))
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f14147]) ).
tcf(c_380,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( k4_xboole_0(k2_zfmisc_1(X0,X3),k4_xboole_0(k2_zfmisc_1(X0,X3),k2_zfmisc_1(X1,X2))) = k2_zfmisc_1(X0,X2) )
| ~ r1_tarski(X2,X3)
| ~ r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f14150]) ).
tcf(c_381,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : k4_xboole_0(k2_zfmisc_1(X0,X1),k4_xboole_0(k2_zfmisc_1(X0,X1),k2_zfmisc_1(X2,X3))) = k2_zfmisc_1(k4_xboole_0(X0,k4_xboole_0(X0,X2)),k4_xboole_0(X1,k4_xboole_0(X1,X3))),
inference(cnf_transformation,[],[f14151]) ).
tcf(c_384,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( k2_tarski(k2_tarski(sK60(X0,X1,X2,X3,X4),sK61(X0,X1,X2,X3,X4)),k2_enumset1(sK60(X0,X1,X2,X3,X4),sK60(X0,X1,X2,X3,X4),sK60(X0,X1,X2,X3,X4),sK60(X0,X1,X2,X3,X4))) = X0 )
| ~ r2_hidden(X0,k4_xboole_0(k2_zfmisc_1(X1,X2),k4_xboole_0(k2_zfmisc_1(X1,X2),k2_zfmisc_1(X3,X4)))) ),
inference(cnf_transformation,[],[f14154]) ).
tcf(c_385,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( r2_hidden(sK60(X0,X1,X2,X3,X4),k4_xboole_0(X1,k4_xboole_0(X1,X3)))
| ~ r2_hidden(X0,k4_xboole_0(k2_zfmisc_1(X1,X2),k4_xboole_0(k2_zfmisc_1(X1,X2),k2_zfmisc_1(X3,X4)))) ),
inference(cnf_transformation,[],[f14155]) ).
tcf(c_386,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( r2_hidden(sK61(X0,X1,X2,X3,X4),k4_xboole_0(X2,k4_xboole_0(X2,X4)))
| ~ r2_hidden(X0,k4_xboole_0(k2_zfmisc_1(X1,X2),k4_xboole_0(k2_zfmisc_1(X1,X2),k2_zfmisc_1(X3,X4)))) ),
inference(cnf_transformation,[],[f14156]) ).
tcf(c_387,plain,
! [X0: $i,X1: $i] : k4_xboole_0(k1_zfmisc_1(X0),k4_xboole_0(k1_zfmisc_1(X0),k1_zfmisc_1(X1))) = k1_zfmisc_1(k4_xboole_0(X0,k4_xboole_0(X0,X1))),
inference(cnf_transformation,[],[f14157]) ).
tcf(c_388,plain,
! [X0: $i,X1: $i] :
( ( k4_xboole_0(X1,k4_xboole_0(X1,k2_enumset1(X0,X0,X0,X0))) = k2_enumset1(X0,X0,X0,X0) )
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f14158]) ).
tcf(c_389,plain,
! [X0: $i,X1: $i] :
( r2_hidden(X1,X0)
| ( k4_xboole_0(X0,k4_xboole_0(X0,k2_enumset1(X1,X1,X1,X1))) != k2_enumset1(X1,X1,X1,X1) ) ),
inference(cnf_transformation,[],[f14159]) ).
tcf(c_390,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( k4_xboole_0(k2_enumset1(X0,X0,X0,X0),k4_xboole_0(k2_enumset1(X0,X0,X0,X0),k2_enumset1(X1,X1,X1,X1))) != k2_enumset1(X0,X0,X0,X0) ) ),
inference(cnf_transformation,[],[f14160]) ).
tcf(c_391,plain,
! [X0: $i,X1: $i,X2: $i] : k4_xboole_0(k4_xboole_0(X0,k4_xboole_0(X0,X1)),k4_xboole_0(X2,k4_xboole_0(X2,X1))) = k4_xboole_0(k4_xboole_0(X0,X2),k4_xboole_0(k4_xboole_0(X0,X2),X1)),
inference(cnf_transformation,[],[f14161]) ).
tcf(c_394,plain,
! [X0: $i,X1: $i,X2: $i] : k3_tarski(k2_tarski(k4_xboole_0(X0,X1),k4_xboole_0(X0,X2))) = k4_xboole_0(X0,k4_xboole_0(X1,k4_xboole_0(X1,X2))),
inference(cnf_transformation,[],[f14164]) ).
tcf(c_395,plain,
! [X0: $i,X1: $i,X2: $i] : k4_xboole_0(k4_xboole_0(X0,X1),k4_xboole_0(k4_xboole_0(X0,X1),k4_xboole_0(X0,X2))) = k4_xboole_0(X0,k3_tarski(k2_tarski(X1,X2))),
inference(cnf_transformation,[],[f14165]) ).
tcf(c_396,plain,
! [X0: $i,X1: $i,X2: $i] : k3_tarski(k2_tarski(k4_xboole_0(X0,X1),k4_xboole_0(X0,k4_xboole_0(X0,X2)))) = k4_xboole_0(X0,k4_xboole_0(X1,X2)),
inference(cnf_transformation,[],[f14166]) ).
tcf(c_398,plain,
! [X0: $i,X1: $i,X2: $i] : k4_xboole_0(k4_xboole_0(X0,k4_xboole_0(X0,X1)),k4_xboole_0(X0,k4_xboole_0(X0,X2))) = k4_xboole_0(X0,k4_xboole_0(X0,k4_xboole_0(X1,X2))),
inference(cnf_transformation,[],[f14168]) ).
tcf(c_399,plain,
! [X0: $i,X1: $i,X2: $i] : k4_xboole_0(k4_xboole_0(X0,k4_xboole_0(X0,X1)),X2) = k4_xboole_0(X0,k4_xboole_0(X0,k4_xboole_0(X1,X2))),
inference(cnf_transformation,[],[f14169]) ).
tcf(c_400,plain,
! [X0: $i,X1: $i] : k4_xboole_0(X0,k4_xboole_0(X0,k4_xboole_0(X0,X1))) = k4_xboole_0(X0,X1),
inference(cnf_transformation,[],[f14170]) ).
tcf(c_401,plain,
! [X0: $i,X1: $i,X2: $i] : r1_tarski(k3_tarski(k2_tarski(k4_xboole_0(X0,k4_xboole_0(X0,X1)),k4_xboole_0(X0,k4_xboole_0(X0,X2)))),k3_tarski(k2_tarski(X1,X2))),
inference(cnf_transformation,[],[f14171]) ).
tcf(c_402,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k4_xboole_0(k3_tarski(k2_tarski(X0,X2)),k4_xboole_0(k3_tarski(k2_tarski(X0,X2)),X1)) = k3_tarski(k2_tarski(X0,k4_xboole_0(X2,k4_xboole_0(X2,X1)))) )
| ~ r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f14172]) ).
tcf(c_403,plain,
! [X0: $i,X1: $i,X2: $i] : r1_tarski(k4_xboole_0(X0,k4_xboole_0(X0,X1)),k3_tarski(k2_tarski(X0,X2))),
inference(cnf_transformation,[],[f14173]) ).
tcf(c_404,plain,
! [X0: $i,X1: $i] :
( ( k4_xboole_0(X0,k4_xboole_0(X0,X1)) = X0 )
| ~ r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f14174]) ).
tcf(c_405,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_tarski(k4_xboole_0(X0,k4_xboole_0(X0,X2)),k4_xboole_0(X1,k4_xboole_0(X1,X3)))
| ~ r1_tarski(X2,X3)
| ~ r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f14175]) ).
tcf(c_406,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k4_xboole_0(X0,k4_xboole_0(X0,X2)),k4_xboole_0(X1,k4_xboole_0(X1,X2)))
| ~ r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f14176]) ).
tcf(c_407,plain,
! [X0: $i,X1: $i,X2: $i] : k4_xboole_0(k4_xboole_0(k3_tarski(k2_tarski(X0,X1)),k4_xboole_0(k3_tarski(k2_tarski(X0,X1)),k3_tarski(k2_tarski(X1,X2)))),k4_xboole_0(k4_xboole_0(k3_tarski(k2_tarski(X0,X1)),k4_xboole_0(k3_tarski(k2_tarski(X0,X1)),k3_tarski(k2_tarski(X1,X2)))),k3_tarski(k2_tarski(X2,X0)))) = k3_tarski(k2_tarski(k3_tarski(k2_tarski(k4_xboole_0(X0,k4_xboole_0(X0,X1)),k4_xboole_0(X1,k4_xboole_0(X1,X2)))),k4_xboole_0(X2,k4_xboole_0(X2,X0)))),
inference(cnf_transformation,[],[f14177]) ).
tcf(c_408,plain,
! [X0: $i,X1: $i,X2: $i] : k4_xboole_0(k3_tarski(k2_tarski(X0,X1)),k4_xboole_0(k3_tarski(k2_tarski(X0,X1)),k3_tarski(k2_tarski(X0,X2)))) = k3_tarski(k2_tarski(X0,k4_xboole_0(X1,k4_xboole_0(X1,X2)))),
inference(cnf_transformation,[],[f14178]) ).
tcf(c_409,plain,
! [X0: $i,X1: $i,X2: $i] : k3_tarski(k2_tarski(k4_xboole_0(X0,k4_xboole_0(X0,X1)),k4_xboole_0(X0,k4_xboole_0(X0,X2)))) = k4_xboole_0(X0,k4_xboole_0(X0,k3_tarski(k2_tarski(X1,X2)))),
inference(cnf_transformation,[],[f14179]) ).
tcf(c_410,plain,
! [X0: $i,X1: $i] : k3_tarski(k2_tarski(X0,k4_xboole_0(X0,k4_xboole_0(X0,X1)))) = X0,
inference(cnf_transformation,[],[f14180]) ).
tcf(c_412,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k4_xboole_0(X1,k4_xboole_0(X1,X2)) = X0 )
| ~ r1_tarski(X0,X2)
| ~ r1_tarski(X0,X1)
| ~ r1_tarski(sK62(X0,X1,X2),X0) ),
inference(cnf_transformation,[],[f14182]) ).
tcf(c_413,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(sK62(X0,X1,X2),X1)
| ( k4_xboole_0(X1,k4_xboole_0(X1,X2)) = X0 )
| ~ r1_tarski(X0,X2)
| ~ r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f14183]) ).
tcf(c_414,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(sK62(X0,X1,X2),X2)
| ( k4_xboole_0(X1,k4_xboole_0(X1,X2)) = X0 )
| ~ r1_tarski(X0,X2)
| ~ r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f14184]) ).
tcf(c_415,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(X0,k4_xboole_0(X1,k4_xboole_0(X1,X2)))
| ~ r1_tarski(X0,X2)
| ~ r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f14185]) ).
tcf(c_418,plain,
! [X0: $i,X1: $i,X2: $i] : k4_xboole_0(k4_xboole_0(X0,k4_xboole_0(X0,X1)),k4_xboole_0(k4_xboole_0(X0,k4_xboole_0(X0,X1)),X2)) = k4_xboole_0(X0,k4_xboole_0(X0,k4_xboole_0(X1,k4_xboole_0(X1,X2)))),
inference(cnf_transformation,[],[f14188]) ).
tcf(c_419,plain,
! [X0: $i] : k4_xboole_0(X0,k4_xboole_0(X0,np__0)) = np__0,
inference(cnf_transformation,[],[f14189]) ).
tcf(c_421,plain,
! [X0: $i,X1: $i] : k4_xboole_0(X0,k4_xboole_0(X0,X1)) = k4_xboole_0(X1,k4_xboole_0(X1,X0)),
inference(cnf_transformation,[],[f14191]) ).
tcf(c_422,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k4_xboole_0(X0,k4_xboole_0(X0,X1)) = X2 )
| ~ r2_hidden(sK63(X0,X1,X2),X2)
| ~ r2_hidden(sK63(X0,X1,X2),X1)
| ~ r2_hidden(sK63(X0,X1,X2),X0) ),
inference(cnf_transformation,[],[f14192]) ).
tcf(c_423,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(sK63(X0,X1,X2),X2)
| r2_hidden(sK63(X0,X1,X2),X0)
| ( k4_xboole_0(X0,k4_xboole_0(X0,X1)) = X2 ) ),
inference(cnf_transformation,[],[f14193]) ).
tcf(c_424,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(sK63(X0,X1,X2),X2)
| r2_hidden(sK63(X0,X1,X2),X1)
| ( k4_xboole_0(X0,k4_xboole_0(X0,X1)) = X2 ) ),
inference(cnf_transformation,[],[f14194]) ).
tcf(c_425,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(X0,k4_xboole_0(X1,k4_xboole_0(X1,X2)))
| ~ r2_hidden(X0,X2)
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f15101]) ).
tcf(c_427,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(X0,X2)
| ~ r2_hidden(X0,k4_xboole_0(X1,k4_xboole_0(X1,X2))) ),
inference(cnf_transformation,[],[f15103]) ).
tcf(c_434,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(X1)
| v3_struct_0(X0)
| m1_filter_0(X1,X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| ~ sP8(X1,X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ r2_hidden(k4_lattices(X0,sK66(X0,X1),sK67(X0,X1)),X1) ),
inference(cnf_transformation,[],[f10620]) ).
tcf(c_435,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(X0)
| v3_struct_0(X1)
| m1_filter_0(X0,X1)
| r2_hidden(sK66(X1,X0),X0)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ sP8(X0,X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(cnf_transformation,[],[f10619]) ).
tcf(c_436,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(X0)
| v3_struct_0(X1)
| m1_filter_0(X0,X1)
| r2_hidden(sK67(X1,X0),X0)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ sP8(X0,X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(cnf_transformation,[],[f10618]) ).
tcf(c_437,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(X0)
| v3_struct_0(X1)
| m1_filter_0(X0,X1)
| m1_subset_1(sK67(X1,X0),u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ sP8(X0,X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(cnf_transformation,[],[f10617]) ).
tcf(c_438,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(X0)
| v3_struct_0(X1)
| m1_filter_0(X0,X1)
| m1_subset_1(sK66(X1,X0),u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ sP8(X0,X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(cnf_transformation,[],[f10616]) ).
tcf(c_439,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v1_xboole_0(X0)
| v3_struct_0(X1)
| r2_hidden(k4_lattices(X1,X2,X3),X0)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_filter_0(X0,X1)
| ~ r2_hidden(X3,X0)
| ~ r2_hidden(X2,X0)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(cnf_transformation,[],[f10615]) ).
tcf(c_440,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(X0)
| v3_struct_0(X1)
| sP8(X0,X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_filter_0(X0,X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(cnf_transformation,[],[f10614]) ).
tcf(c_441,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(X1)
| v3_struct_0(X0)
| m1_filter_0(X1,X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ r2_hidden(sK69(X0,X1),X1)
| ~ r2_hidden(sK68(X0,X1),X1)
| ~ r2_hidden(k4_lattices(X0,sK68(X0,X1),sK69(X0,X1)),X1) ),
inference(cnf_transformation,[],[f10628]) ).
tcf(c_442,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(X0)
| v3_struct_0(X1)
| m1_filter_0(X0,X1)
| r2_hidden(sK68(X1,X0),X0)
| r2_hidden(k4_lattices(X1,sK68(X1,X0),sK69(X1,X0)),X0)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(cnf_transformation,[],[f10627]) ).
tcf(c_443,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(X0)
| v3_struct_0(X1)
| m1_filter_0(X0,X1)
| r2_hidden(sK69(X1,X0),X0)
| r2_hidden(k4_lattices(X1,sK68(X1,X0),sK69(X1,X0)),X0)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(cnf_transformation,[],[f10626]) ).
tcf(c_444,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(X0)
| v3_struct_0(X1)
| m1_filter_0(X0,X1)
| m1_subset_1(sK69(X1,X0),u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(cnf_transformation,[],[f10625]) ).
tcf(c_445,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(X0)
| v3_struct_0(X1)
| m1_filter_0(X0,X1)
| m1_subset_1(sK68(X1,X0),u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(cnf_transformation,[],[f10624]) ).
tcf(c_446,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v1_xboole_0(X3)
| v3_struct_0(X0)
| r2_hidden(X1,X3)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| ~ m1_filter_0(X3,X0)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0)))
| ~ r2_hidden(k4_lattices(X0,X1,X2),X3) ),
inference(cnf_transformation,[],[f10623]) ).
tcf(c_447,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v1_xboole_0(X3)
| v3_struct_0(X0)
| r2_hidden(X2,X3)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| ~ m1_filter_0(X3,X0)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0)))
| ~ r2_hidden(k4_lattices(X0,X1,X2),X3) ),
inference(cnf_transformation,[],[f10622]) ).
tcf(c_449,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v3_struct_0(X0)
| r3_lattices(X0,X1,k4_lattices(X0,X2,X3))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| ~ m1_subset_1(X3,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ r3_lattices(X0,X1,X3)
| ~ r3_lattices(X0,X1,X2) ),
inference(cnf_transformation,[],[f10629]) ).
tcf(c_450,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( v3_struct_0(X0)
| r3_lattices(X0,k4_lattices(X0,X1,X3),k4_lattices(X0,X2,X4))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| ~ m1_subset_1(X4,u1_struct_0(X0))
| ~ m1_subset_1(X3,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ r3_lattices(X0,X3,X4)
| ~ r3_lattices(X0,X1,X2) ),
inference(cnf_transformation,[],[f10631]) ).
tcf(c_451,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( v3_struct_0(X0)
| r3_lattices(X0,k4_lattices(X0,X1,X3),k4_lattices(X0,X4,X2))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| ~ m1_subset_1(X4,u1_struct_0(X0))
| ~ m1_subset_1(X3,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ r3_lattices(X0,X3,X4)
| ~ r3_lattices(X0,X1,X2) ),
inference(cnf_transformation,[],[f10630]) ).
tcf(c_452,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v3_struct_0(X0)
| r3_lattices(X0,k4_lattices(X0,X1,X3),X2)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| ~ m1_subset_1(X3,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ r3_lattices(X0,X1,X2) ),
inference(cnf_transformation,[],[f10633]) ).
tcf(c_453,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v3_struct_0(X0)
| r3_lattices(X0,k4_lattices(X0,X3,X1),X2)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| ~ m1_subset_1(X3,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ r3_lattices(X0,X1,X2) ),
inference(cnf_transformation,[],[f10632]) ).
tcf(c_454,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v3_struct_0(X0)
| ( k3_lattices(X0,k4_lattices(X0,X1,X2),k4_lattices(X0,X1,X3)) = k4_lattices(X0,X1,k3_lattices(X0,X2,X3)) )
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| ~ m1_subset_1(X3,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ( k4_lattices(X0,k3_lattices(X0,sK70(X0),sK71(X0)),k3_lattices(X0,sK70(X0),sK72(X0))) != k3_lattices(X0,sK70(X0),k4_lattices(X0,sK71(X0),sK72(X0))) ) ),
inference(cnf_transformation,[],[f10641]) ).
tcf(c_455,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v3_struct_0(X1)
| m1_subset_1(sK72(X1),u1_struct_0(X1))
| ( k3_lattices(X1,k4_lattices(X1,X0,X2),k4_lattices(X1,X0,X3)) = k4_lattices(X1,X0,k3_lattices(X1,X2,X3)) )
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f10640]) ).
tcf(c_456,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v3_struct_0(X1)
| m1_subset_1(sK71(X1),u1_struct_0(X1))
| ( k3_lattices(X1,k4_lattices(X1,X0,X2),k4_lattices(X1,X0,X3)) = k4_lattices(X1,X0,k3_lattices(X1,X2,X3)) )
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f10639]) ).
tcf(c_457,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v3_struct_0(X1)
| m1_subset_1(sK70(X1),u1_struct_0(X1))
| ( k3_lattices(X1,k4_lattices(X1,X0,X2),k4_lattices(X1,X0,X3)) = k4_lattices(X1,X0,k3_lattices(X1,X2,X3)) )
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f10638]) ).
tcf(c_458,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v3_struct_0(X0)
| ( k4_lattices(X0,k3_lattices(X0,X1,X2),k3_lattices(X0,X1,X3)) = k3_lattices(X0,X1,k4_lattices(X0,X2,X3)) )
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| ~ m1_subset_1(X3,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ( k3_lattices(X0,k4_lattices(X0,sK73(X0),sK74(X0)),k4_lattices(X0,sK73(X0),sK75(X0))) != k4_lattices(X0,sK73(X0),k3_lattices(X0,sK74(X0),sK75(X0))) ) ),
inference(cnf_transformation,[],[f10637]) ).
tcf(c_459,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v3_struct_0(X1)
| m1_subset_1(sK75(X1),u1_struct_0(X1))
| ( k4_lattices(X1,k3_lattices(X1,X0,X2),k3_lattices(X1,X0,X3)) = k3_lattices(X1,X0,k4_lattices(X1,X2,X3)) )
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f10636]) ).
tcf(c_460,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v3_struct_0(X1)
| m1_subset_1(sK74(X1),u1_struct_0(X1))
| ( k4_lattices(X1,k3_lattices(X1,X0,X2),k3_lattices(X1,X0,X3)) = k3_lattices(X1,X0,k4_lattices(X1,X2,X3)) )
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f10635]) ).
tcf(c_461,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v3_struct_0(X1)
| m1_subset_1(sK73(X1),u1_struct_0(X1))
| ( k4_lattices(X1,k3_lattices(X1,X0,X2),k3_lattices(X1,X0,X3)) = k3_lattices(X1,X0,k4_lattices(X1,X2,X3)) )
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f10634]) ).
tcf(c_462,plain,
! [X0: $i,X1: $i] : r1_tarski(k3_tarski(k2_tarski(k5_finsub_1(X0),k5_finsub_1(X1))),k5_finsub_1(k3_tarski(k2_tarski(X0,X1)))),
inference(cnf_transformation,[],[f14198]) ).
tcf(c_464,plain,
! [X0: $i,X1: $i] :
( v1_finset_1(k3_tarski(k2_tarski(X0,X1)))
| ~ v1_finset_1(X1)
| ~ v1_finset_1(X0) ),
inference(cnf_transformation,[],[f14200]) ).
tcf(c_465,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( r1_tarski(k3_tarski(k2_tarski(X0,X3)),k2_zfmisc_1(k3_tarski(k2_tarski(X1,X4)),k3_tarski(k2_tarski(X2,X5))))
| ~ r1_tarski(X3,k2_zfmisc_1(X4,X5))
| ~ r1_tarski(X0,k2_zfmisc_1(X1,X2)) ),
inference(cnf_transformation,[],[f14201]) ).
tcf(c_466,plain,
! [X0: $i,X1: $i] :
( ( k3_tarski(k2_tarski(k2_relat_1(X0),k2_relat_1(X1))) = k2_relat_1(k3_tarski(k2_tarski(X0,X1))) )
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f14202]) ).
tcf(c_467,plain,
! [X0: $i,X1: $i] :
( ( k3_tarski(k2_tarski(k1_relat_1(X0),k1_relat_1(X1))) = k1_relat_1(k3_tarski(k2_tarski(X0,X1))) )
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f14203]) ).
tcf(c_468,plain,
! [X0: $i,X1: $i] :
( v1_relat_1(k3_tarski(k2_tarski(X0,X1)))
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f14204]) ).
tcf(c_471,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : k3_tarski(k2_tarski(k2_zfmisc_1(k4_xboole_0(X0,X1),X2),k2_zfmisc_1(X0,k4_xboole_0(X2,X3)))) = k4_xboole_0(k2_zfmisc_1(X0,X2),k2_zfmisc_1(X1,X3)),
inference(cnf_transformation,[],[f14207]) ).
tcf(c_473,plain,
! [X0: $i,X1: $i,X2: $i] : k3_tarski(k2_tarski(k2_zfmisc_1(X0,X1),k2_zfmisc_1(X2,X1))) = k2_zfmisc_1(k3_tarski(k2_tarski(X0,X2)),X1),
inference(cnf_transformation,[],[f14209]) ).
tcf(c_474,plain,
! [X0: $i,X1: $i,X2: $i] : k3_tarski(k2_tarski(k2_zfmisc_1(X0,X1),k2_zfmisc_1(X0,X2))) = k2_zfmisc_1(X0,k3_tarski(k2_tarski(X1,X2))),
inference(cnf_transformation,[],[f14210]) ).
tcf(c_475,plain,
! [X0: $i,X1: $i] : r1_tarski(k2_zfmisc_1(X0,X1),k1_zfmisc_1(k1_zfmisc_1(k3_tarski(k2_tarski(X0,X1))))),
inference(cnf_transformation,[],[f14211]) ).
tcf(c_476,plain,
! [X0: $i,X1: $i] : r1_tarski(k1_zfmisc_1(k4_xboole_0(X0,X1)),k3_tarski(k2_tarski(k2_enumset1(np__0,np__0,np__0,np__0),k4_xboole_0(k1_zfmisc_1(X0),k1_zfmisc_1(X1))))),
inference(cnf_transformation,[],[f14212]) ).
tcf(c_477,plain,
! [X0: $i,X1: $i] : r1_tarski(k3_tarski(k2_tarski(k1_zfmisc_1(X0),k1_zfmisc_1(X1))),k1_zfmisc_1(k3_tarski(k2_tarski(X0,X1)))),
inference(cnf_transformation,[],[f14213]) ).
tcf(c_481,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(X0,k3_tarski(k2_tarski(X1,X2)))
| ~ r1_tarski(k4_xboole_0(X0,X1),X2) ),
inference(cnf_transformation,[],[f14217]) ).
tcf(c_482,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k4_xboole_0(X0,X1),X2)
| ~ r1_tarski(X0,k3_tarski(k2_tarski(X1,X2))) ),
inference(cnf_transformation,[],[f14218]) ).
tcf(c_483,plain,
! [X0: $i,X1: $i,X2: $i] : k3_tarski(k2_tarski(k4_xboole_0(X0,X1),k4_xboole_0(X2,X1))) = k4_xboole_0(k3_tarski(k2_tarski(X0,X2)),X1),
inference(cnf_transformation,[],[f14219]) ).
tcf(c_484,plain,
! [X0: $i,X1: $i,X2: $i] : k4_xboole_0(X0,k3_tarski(k2_tarski(X1,X2))) = k4_xboole_0(k4_xboole_0(X0,X1),X2),
inference(cnf_transformation,[],[f14220]) ).
tcf(c_485,plain,
! [X0: $i,X1: $i] : k4_xboole_0(k3_tarski(k2_tarski(X0,X1)),X1) = k4_xboole_0(X0,X1),
inference(cnf_transformation,[],[f14221]) ).
tcf(c_486,plain,
! [X0: $i,X1: $i] : k3_tarski(k2_tarski(X0,k4_xboole_0(X1,X0))) = k3_tarski(k2_tarski(X0,X1)),
inference(cnf_transformation,[],[f14222]) ).
tcf(c_487,plain,
! [X0: $i,X1: $i] :
( ( X0 = np__0 )
| ( k3_tarski(k2_tarski(X0,X1)) != np__0 ) ),
inference(cnf_transformation,[],[f14223]) ).
tcf(c_488,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k3_tarski(k2_tarski(X1,X2)) = X0 )
| ~ r1_tarski(X2,X0)
| ~ r1_tarski(X1,X0)
| ~ r1_tarski(X0,sK76(X1,X0,X2)) ),
inference(cnf_transformation,[],[f14224]) ).
tcf(c_489,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(X0,sK76(X0,X1,X2))
| ( k3_tarski(k2_tarski(X0,X2)) = X1 )
| ~ r1_tarski(X2,X1)
| ~ r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f14225]) ).
tcf(c_490,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(X2,sK76(X0,X1,X2))
| ( k3_tarski(k2_tarski(X0,X2)) = X1 )
| ~ r1_tarski(X2,X1)
| ~ r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f14226]) ).
tcf(c_491,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_tarski(k3_tarski(k2_tarski(X0,X2)),k3_tarski(k2_tarski(X1,X3)))
| ~ r1_tarski(X2,X3)
| ~ r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f14227]) ).
tcf(c_492,plain,
! [X0: $i,X1: $i] :
( ( k3_tarski(k2_tarski(X0,X1)) = X1 )
| ~ r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f14228]) ).
tcf(c_493,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(X0,X2)
| ~ r1_tarski(k3_tarski(k2_tarski(X0,X1)),X2) ),
inference(cnf_transformation,[],[f14229]) ).
tcf(c_494,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(X0,k3_tarski(k2_tarski(X2,X1)))
| ~ r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f14230]) ).
tcf(c_495,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k3_tarski(k2_tarski(X0,X2)),k3_tarski(k2_tarski(X1,X2)))
| ~ r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f14231]) ).
tcf(c_496,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k3_tarski(k2_tarski(X0,X2)),X1)
| ~ r1_tarski(X2,X1)
| ~ r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f14232]) ).
tcf(c_497,plain,
! [X0: $i,X1: $i] : r1_tarski(X0,k3_tarski(k2_tarski(X0,X1))),
inference(cnf_transformation,[],[f14233]) ).
tcf(c_498,plain,
! [X0: $i,X1: $i] : k3_tarski(k2_tarski(X0,k3_tarski(k2_tarski(X0,X1)))) = k3_tarski(k2_tarski(X0,X1)),
inference(cnf_transformation,[],[f14234]) ).
tcf(c_499,plain,
! [X0: $i,X1: $i,X2: $i] : k3_tarski(k2_tarski(k3_tarski(k2_tarski(X0,X1)),k3_tarski(k2_tarski(X2,X1)))) = k3_tarski(k2_tarski(k3_tarski(k2_tarski(X0,X2)),X1)),
inference(cnf_transformation,[],[f14235]) ).
tcf(c_500,plain,
! [X0: $i,X1: $i,X2: $i] : k3_tarski(k2_tarski(k3_tarski(k2_tarski(X0,X1)),X2)) = k3_tarski(k2_tarski(X0,k3_tarski(k2_tarski(X1,X2)))),
inference(cnf_transformation,[],[f14236]) ).
tcf(c_501,plain,
! [X0: $i] : k3_tarski(k2_tarski(X0,np__0)) = X0,
inference(cnf_transformation,[],[f14237]) ).
tcf(c_502,plain,
! [X0: $i] : k3_tarski(k2_tarski(X0,X0)) = X0,
inference(cnf_transformation,[],[f14238]) ).
tcf(c_504,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k3_tarski(k2_tarski(X0,X1)) = X2 )
| ~ r2_hidden(sK77(X0,X1,X2),X2)
| ~ r2_hidden(sK77(X0,X1,X2),X0) ),
inference(cnf_transformation,[],[f14240]) ).
tcf(c_505,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k3_tarski(k2_tarski(X0,X1)) = X2 )
| ~ r2_hidden(sK77(X0,X1,X2),X2)
| ~ r2_hidden(sK77(X0,X1,X2),X1) ),
inference(cnf_transformation,[],[f14241]) ).
tcf(c_506,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(sK77(X0,X1,X2),X2)
| r2_hidden(sK77(X0,X1,X2),X1)
| r2_hidden(sK77(X0,X1,X2),X0)
| ( k3_tarski(k2_tarski(X0,X1)) = X2 ) ),
inference(cnf_transformation,[],[f14242]) ).
tcf(c_507,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(X0,k3_tarski(k2_tarski(X1,X2)))
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f15104]) ).
tcf(c_508,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(X0,k3_tarski(k2_tarski(X2,X1)))
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f15105]) ).
tcf(c_509,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(X0,X2)
| r2_hidden(X0,X1)
| ~ r2_hidden(X0,k3_tarski(k2_tarski(X1,X2))) ),
inference(cnf_transformation,[],[f15106]) ).
tcf(c_510,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(X1)
| ~ v1_xboole_0(k3_tarski(k2_tarski(X0,X1))) ),
inference(cnf_transformation,[],[f14246]) ).
tcf(c_511,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(X0)
| ~ v1_xboole_0(k3_tarski(k2_tarski(X0,X1))) ),
inference(cnf_transformation,[],[f14247]) ).
tcf(c_512,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X0)
| ( k5_lattices(X0) = X1 )
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ( k3_lattices(X0,X1,sK78(X0,X1)) != sK78(X0,X1) ) ),
inference(cnf_transformation,[],[f10693]) ).
tcf(c_513,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| m1_subset_1(sK78(X1,X0),u1_struct_0(X1))
| ( k5_lattices(X1) = X0 )
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f10692]) ).
tcf(c_514,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v3_struct_0(X1)
| r2_hidden(k3_lattices(X1,X0,X2),X3)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_filter_0(X3,X1)
| ~ r2_hidden(X0,X3)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f10695]) ).
tcf(c_515,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v3_struct_0(X1)
| r2_hidden(k3_lattices(X1,X2,X0),X3)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_filter_0(X3,X1)
| ~ r2_hidden(X0,X3)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f10694]) ).
tcf(c_516,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v3_struct_0(X0)
| r3_lattices(X0,k3_lattices(X0,X1,X3),X2)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| ~ m1_subset_1(X3,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ r3_lattices(X0,X3,X2)
| ~ r3_lattices(X0,X1,X2) ),
inference(cnf_transformation,[],[f10696]) ).
tcf(c_517,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( v3_struct_0(X0)
| r3_lattices(X0,k3_lattices(X0,X1,X3),k3_lattices(X0,X2,X4))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| ~ m1_subset_1(X4,u1_struct_0(X0))
| ~ m1_subset_1(X3,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ r3_lattices(X0,X3,X4)
| ~ r3_lattices(X0,X1,X2) ),
inference(cnf_transformation,[],[f10698]) ).
tcf(c_518,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( v3_struct_0(X0)
| r3_lattices(X0,k3_lattices(X0,X1,X3),k3_lattices(X0,X4,X2))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| ~ m1_subset_1(X4,u1_struct_0(X0))
| ~ m1_subset_1(X3,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ r3_lattices(X0,X3,X4)
| ~ r3_lattices(X0,X1,X2) ),
inference(cnf_transformation,[],[f10697]) ).
tcf(c_519,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v3_struct_0(X0)
| r3_lattices(X0,X1,k3_lattices(X0,X3,X2))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| ~ m1_subset_1(X3,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ r3_lattices(X0,X1,X2) ),
inference(cnf_transformation,[],[f10700]) ).
tcf(c_520,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v3_struct_0(X0)
| r3_lattices(X0,X1,k3_lattices(X0,X2,X3))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| ~ m1_subset_1(X3,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ r3_lattices(X0,X1,X2) ),
inference(cnf_transformation,[],[f10699]) ).
tcf(c_521,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v3_struct_0(X0)
| r3_lattices(X0,k3_lattices(X0,X3,X1),k3_lattices(X0,X3,X2))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| ~ m1_subset_1(X3,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ r3_lattices(X0,X1,X2) ),
inference(cnf_transformation,[],[f10704]) ).
tcf(c_522,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v3_struct_0(X0)
| r3_lattices(X0,k3_lattices(X0,X1,X3),k3_lattices(X0,X2,X3))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| ~ m1_subset_1(X3,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ r3_lattices(X0,X1,X2) ),
inference(cnf_transformation,[],[f10703]) ).
tcf(c_523,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v3_struct_0(X0)
| r3_lattices(X0,k3_lattices(X0,X1,X3),k3_lattices(X0,X3,X2))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| ~ m1_subset_1(X3,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ r3_lattices(X0,X1,X2) ),
inference(cnf_transformation,[],[f10702]) ).
tcf(c_524,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v3_struct_0(X0)
| r3_lattices(X0,k3_lattices(X0,X3,X1),k3_lattices(X0,X2,X3))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| ~ m1_subset_1(X3,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ r3_lattices(X0,X1,X2) ),
inference(cnf_transformation,[],[f10701]) ).
tcf(c_525,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| ( k3_lattices(X1,k5_lattices(X1),X0) = X0 )
| ~ v13_lattices(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f10705]) ).
tcf(c_526,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v1_funct_2(X0,X1,X3)
| ( X2 = np__0 )
| ~ v1_funct_1(X0)
| ~ r1_tarski(X2,X3)
| ~ m2_relset_1(X0,X1,X2)
| ~ v1_funct_2(X0,X1,X2) ),
inference(cnf_transformation,[],[f14249]) ).
tcf(c_527,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( m2_relset_1(X0,X1,X3)
| ( X2 = np__0 )
| ~ v1_funct_1(X0)
| ~ r1_tarski(X2,X3)
| ~ m2_relset_1(X0,X1,X2)
| ~ v1_funct_2(X0,X1,X2) ),
inference(cnf_transformation,[],[f14250]) ).
tcf(c_528,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_funct_2(X0,np__0,X2)
| ~ v1_funct_1(X0)
| ~ r1_tarski(X1,X2)
| ~ m2_relset_1(X0,np__0,X1)
| ~ v1_funct_2(X0,np__0,X1) ),
inference(cnf_transformation,[],[f15108]) ).
tcf(c_529,plain,
! [X0: $i,X1: $i,X2: $i] :
( m2_relset_1(X0,np__0,X2)
| ~ v1_funct_1(X0)
| ~ r1_tarski(X1,X2)
| ~ m2_relset_1(X0,np__0,X1)
| ~ v1_funct_2(X0,np__0,X1) ),
inference(cnf_transformation,[],[f15109]) ).
tcf(c_530,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( m2_relset_1(X3,X1,X2)
| ~ v1_relat_1(X3)
| ~ v1_funct_1(X3)
| ~ v1_funct_1(X0)
| ~ r1_tarski(X3,X0)
| ~ m2_relset_1(X0,X1,X2) ),
inference(cnf_transformation,[],[f10712]) ).
tcf(c_531,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( m2_relset_1(X0,X3,X4)
| ~ v1_funct_1(X0)
| ~ r1_tarski(X2,X4)
| ~ r1_tarski(X1,X3)
| ~ m2_relset_1(X0,X1,X2) ),
inference(cnf_transformation,[],[f10714]) ).
tcf(c_533,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( m2_relset_1(X0,X3,X2)
| ~ v1_funct_1(X0)
| ~ r1_tarski(X1,X3)
| ~ m2_relset_1(X0,X1,X2) ),
inference(cnf_transformation,[],[f10718]) ).
tcf(c_534,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( m2_relset_1(X0,X3,X4)
| ~ r1_tarski(X2,X4)
| ~ r1_tarski(X1,X3)
| ~ m2_relset_1(X0,X1,X2) ),
inference(cnf_transformation,[],[f10720]) ).
tcf(c_535,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( m2_relset_1(X0,X1,X3)
| ~ r1_tarski(X2,X3)
| ~ m2_relset_1(X0,X1,X2) ),
inference(cnf_transformation,[],[f10721]) ).
tcf(c_536,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( m2_relset_1(X0,X3,X2)
| ~ r1_tarski(X1,X3)
| ~ m2_relset_1(X0,X1,X2) ),
inference(cnf_transformation,[],[f10722]) ).
tcf(c_537,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( m2_relset_1(X3,X1,X2)
| ~ r1_tarski(X3,X0)
| ~ m2_relset_1(X0,X1,X2) ),
inference(cnf_transformation,[],[f10723]) ).
tcf(c_538,plain,
! [X0: $i,X1: $i] :
( ~ r2_hidden(X1,X0)
| ~ r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f10724]) ).
tcf(c_539,plain,
! [X0: $i,X1: $i] :
( v1_relat_1(X0)
| ~ v1_relat_1(X1)
| ~ r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f10725]) ).
tcf(c_540,plain,
! [X0: $i,X1: $i] :
( m1_subset_1(X0,k1_zfmisc_1(X1))
| ~ r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f10727]) ).
tcf(c_541,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(X1)) ),
inference(cnf_transformation,[],[f10726]) ).
tcf(c_542,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(X0,X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ m1_subset_1(X0,k1_zfmisc_1(X2))
| ~ r2_hidden(sK79(X0,X1),X1) ),
inference(cnf_transformation,[],[f10729]) ).
tcf(c_543,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(X0,X2)
| m1_subset_1(sK79(X0,X2),X0)
| ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| ~ m1_subset_1(X0,k1_zfmisc_1(X1)) ),
inference(cnf_transformation,[],[f10728]) ).
tcf(c_544,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(X1,X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ r2_hidden(sK80(X0,X1,X2),X2) ),
inference(cnf_transformation,[],[f10732]) ).
tcf(c_545,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(X0,X2)
| r2_hidden(sK80(X1,X0,X2),X0)
| ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| ~ m1_subset_1(X0,k1_zfmisc_1(X1)) ),
inference(cnf_transformation,[],[f10731]) ).
tcf(c_546,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(X0,X2)
| m1_subset_1(sK80(X1,X0,X2),X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| ~ m1_subset_1(X0,k1_zfmisc_1(X1)) ),
inference(cnf_transformation,[],[f10730]) ).
tcf(c_547,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v1_xboole_0(X0)
| r1_tarski(X1,X3)
| ~ r1_tarski(k2_zfmisc_1(X0,X1),k2_zfmisc_1(X2,X3)) ),
inference(cnf_transformation,[],[f10734]) ).
tcf(c_548,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v1_xboole_0(X1)
| r1_tarski(X0,X2)
| ~ r1_tarski(k2_zfmisc_1(X0,X1),k2_zfmisc_1(X2,X3)) ),
inference(cnf_transformation,[],[f10733]) ).
tcf(c_549,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_tarski(X0,X2)
| ( k2_zfmisc_1(X0,X1) = np__0 )
| ~ r1_tarski(k2_zfmisc_1(X0,X1),k2_zfmisc_1(X2,X3)) ),
inference(cnf_transformation,[],[f14254]) ).
tcf(c_550,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_tarski(X1,X3)
| ( k2_zfmisc_1(X0,X1) = np__0 )
| ~ r1_tarski(k2_zfmisc_1(X0,X1),k2_zfmisc_1(X2,X3)) ),
inference(cnf_transformation,[],[f14255]) ).
tcf(c_551,plain,
! [X0: $i,X1: $i] :
( ( X0 = np__0 )
| ~ r1_tarski(X0,k2_zfmisc_1(X0,X1)) ),
inference(cnf_transformation,[],[f14256]) ).
tcf(c_552,plain,
! [X0: $i,X1: $i] :
( ( X0 = np__0 )
| ~ r1_tarski(X0,k2_zfmisc_1(X1,X0)) ),
inference(cnf_transformation,[],[f14257]) ).
tcf(c_553,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_tarski(k2_zfmisc_1(X0,X2),k2_zfmisc_1(X1,X3))
| ~ r1_tarski(X2,X3)
| ~ r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f10739]) ).
tcf(c_554,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k2_zfmisc_1(X0,X2),k2_zfmisc_1(X1,X2))
| ~ r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f10741]) ).
tcf(c_555,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k2_zfmisc_1(X2,X0),k2_zfmisc_1(X2,X1))
| ~ r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f10740]) ).
tcf(c_556,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(X0,X2)
| ( X1 = np__0 )
| ~ r1_tarski(k2_zfmisc_1(X0,X1),k2_zfmisc_1(X2,X1)) ),
inference(cnf_transformation,[],[f14258]) ).
tcf(c_557,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(X1,X2)
| ( X0 = np__0 )
| ~ r1_tarski(k2_zfmisc_1(X0,X1),k2_zfmisc_1(X0,X2)) ),
inference(cnf_transformation,[],[f14259]) ).
tcf(c_559,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k1_zfmisc_1(X0),k1_zfmisc_1(X1))
| ~ r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f10745]) ).
tcf(c_560,plain,
! [X0: $i,X1: $i] :
( ( k1_zfmisc_1(X0) = X1 )
| ~ r2_hidden(sK81(X0,X1),X1)
| ~ r1_tarski(sK81(X0,X1),X0) ),
inference(cnf_transformation,[],[f10749]) ).
tcf(c_561,plain,
! [X0: $i,X1: $i] :
( r2_hidden(sK81(X0,X1),X1)
| r1_tarski(sK81(X0,X1),X0)
| ( k1_zfmisc_1(X0) = X1 ) ),
inference(cnf_transformation,[],[f10748]) ).
tcf(c_562,plain,
! [X0: $i,X1: $i] :
( r2_hidden(X0,k1_zfmisc_1(X1))
| ~ r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f15110]) ).
tcf(c_563,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,X1)
| ~ r2_hidden(X0,k1_zfmisc_1(X1)) ),
inference(cnf_transformation,[],[f15111]) ).
tcf(c_564,plain,
! [X0: $i] :
( ( X0 = np__0 )
| ~ r1_tarski(X0,np__0) ),
inference(cnf_transformation,[],[f14261]) ).
tcf(c_565,plain,
! [X0: $i] : r1_tarski(np__0,X0),
inference(cnf_transformation,[],[f14262]) ).
tcf(c_566,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(X0,X2)
| ~ r1_tarski(X1,X2)
| ~ r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f10752]) ).
tcf(c_567,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ r1_tarski(X1,X0)
| ~ r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f10755]) ).
tcf(c_570,plain,
! [X0: $i] : r1_tarski(X0,X0),
inference(cnf_transformation,[],[f10756]) ).
tcf(c_571,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,X1)
| ~ r2_hidden(sK82(X0,X1),X1) ),
inference(cnf_transformation,[],[f10759]) ).
tcf(c_572,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,X1)
| r2_hidden(sK82(X0,X1),X0) ),
inference(cnf_transformation,[],[f10758]) ).
tcf(c_573,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(X2,X1)
| ~ r2_hidden(X2,X0)
| ~ r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f10757]) ).
tcf(c_574,plain,
v1_relat_1(sK83),
inference(cnf_transformation,[],[f10762]) ).
tcf(c_575,plain,
v1_xboole_0(sK83),
inference(cnf_transformation,[],[f10761]) ).
tcf(c_576,plain,
v1_funct_1(sK83),
inference(cnf_transformation,[],[f10760]) ).
tcf(c_577,plain,
! [X0: $i] :
( v1_funct_1(X0)
| ~ v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f10763]) ).
tcf(c_578,plain,
~ v1_xboole_0(sK84),
inference(cnf_transformation,[],[f10765]) ).
tcf(c_579,plain,
v1_relat_1(sK84),
inference(cnf_transformation,[],[f10764]) ).
tcf(c_582,plain,
! [X0: $i] :
( v1_relat_1(X0)
| ~ v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f10768]) ).
tcf(c_583,plain,
v1_xboole_0(sK85),
inference(cnf_transformation,[],[f10770]) ).
tcf(c_584,plain,
v1_relat_1(sK85),
inference(cnf_transformation,[],[f10769]) ).
tcf(c_585,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ v1_xboole_0(X1)
| ~ r2_hidden(X2,X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(X1)) ),
inference(cnf_transformation,[],[f10771]) ).
tcf(c_588,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(X1)
| r2_hidden(X0,X1)
| ~ m1_subset_1(X0,X1) ),
inference(cnf_transformation,[],[f10775]) ).
tcf(c_589,plain,
! [X0: $i,X1: $i] :
( m1_subset_1(X1,X0)
| ~ v1_xboole_0(X1)
| ~ v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f10774]) ).
tcf(c_590,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(X0)
| ~ v1_xboole_0(X1)
| ~ m1_subset_1(X0,X1) ),
inference(cnf_transformation,[],[f10773]) ).
tcf(c_591,plain,
! [X0: $i] : m1_subset_1(sK86(X0),k1_zfmisc_1(X0)),
inference(cnf_transformation,[],[f10778]) ).
tcf(c_592,plain,
! [X0: $i] : v1_xboole_0(sK86(X0)),
inference(cnf_transformation,[],[f10777]) ).
tcf(c_593,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| m1_subset_1(sK87(X0),k1_zfmisc_1(X0)) ),
inference(cnf_transformation,[],[f10780]) ).
tcf(c_594,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| ~ v1_xboole_0(sK87(X0)) ),
inference(cnf_transformation,[],[f10779]) ).
tcf(c_595,plain,
! [X0: $i] : ~ v1_xboole_0(k1_zfmisc_1(X0)),
inference(cnf_transformation,[],[f10781]) ).
tcf(c_596,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ v1_xboole_0(X1)
| ~ v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f10782]) ).
tcf(c_597,plain,
! [X0: $i,X1: $i] :
( ~ v1_xboole_0(X1)
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f10783]) ).
tcf(c_600,plain,
! [X0: $i] :
( ( X0 = np__0 )
| ~ v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f14267]) ).
tcf(c_601,plain,
~ v1_xboole_0(sK88),
inference(cnf_transformation,[],[f10787]) ).
tcf(c_602,plain,
v1_xboole_0(sK89),
inference(cnf_transformation,[],[f10788]) ).
tcf(c_604,plain,
! [X0: $i,X1: $i] :
( v1_funct_1(sK90(X1,X0))
| ~ m1_subset_1(X0,k1_zfmisc_1(X1)) ),
inference(cnf_transformation,[],[f10793]) ).
tcf(c_605,plain,
! [X0: $i,X1: $i] :
( v1_funct_2(sK90(X1,X0),k2_zfmisc_1(X1,X1),X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(X1)) ),
inference(cnf_transformation,[],[f10792]) ).
tcf(c_606,plain,
! [X0: $i,X1: $i] :
( m2_relset_1(sK90(X1,X0),k2_zfmisc_1(X1,X1),X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(X1)) ),
inference(cnf_transformation,[],[f10791]) ).
tcf(c_607,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(k1_funct_1(sK90(X2,X1),X0),X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r2_hidden(X0,k2_zfmisc_1(X1,X1)) ),
inference(cnf_transformation,[],[f10790]) ).
tcf(c_608,plain,
! [X0: $i,X1: $i] :
( m1_subset_1(sK91(X1,X0),k1_zfmisc_1(X1))
| ~ v1_funct_1(X0)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1) ),
inference(cnf_transformation,[],[f10795]) ).
tcf(c_609,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(k1_funct_1(X2,X0),sK91(X1,X2))
| ~ v1_funct_1(X2)
| ~ m2_relset_1(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
| ~ r2_hidden(X0,k2_zfmisc_1(sK91(X1,X2),sK91(X1,X2))) ),
inference(cnf_transformation,[],[f10794]) ).
tcf(c_610,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(k1_funct_1(X0,X2),X1)
| ~ v1_funct_1(X0)
| ~ r2_hidden(X2,k2_zfmisc_1(X1,X1))
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1) ),
inference(cnf_transformation,[],[f10796]) ).
tcf(c_611,plain,
! [X0: $i,X1: $i,X2: $i] :
( m1_subset_1(X0,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
| ~ m2_relset_1(X0,X1,X2) ),
inference(cnf_transformation,[],[f10797]) ).
tcf(c_612,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_relat_1(X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(k2_zfmisc_1(X1,X2))) ),
inference(cnf_transformation,[],[f10798]) ).
tcf(c_613,plain,
! [X0: $i,X1: $i] : v1_relat_1(k2_zfmisc_1(X0,X1)),
inference(cnf_transformation,[],[f10799]) ).
tcf(c_614,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(X1)
| v1_xboole_0(X0)
| ~ v1_xboole_0(k2_zfmisc_1(X0,X1)) ),
inference(cnf_transformation,[],[f10800]) ).
tcf(c_615,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X1 = np__0 )
| ( X0 = np__0 )
| ( X0 = X2 )
| ( k2_zfmisc_1(X0,X1) != k2_zfmisc_1(X2,X3) ) ),
inference(cnf_transformation,[],[f14269]) ).
tcf(c_616,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X1 = np__0 )
| ( X1 = X3 )
| ( X0 = np__0 )
| ( k2_zfmisc_1(X0,X1) != k2_zfmisc_1(X2,X3) ) ),
inference(cnf_transformation,[],[f14270]) ).
tcf(c_617,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( k2_zfmisc_1(X0,X0) != k2_zfmisc_1(X1,X1) ) ),
inference(cnf_transformation,[],[f10803]) ).
tcf(c_619,plain,
! [X0: $i] : k2_zfmisc_1(np__0,X0) = np__0,
inference(cnf_transformation,[],[f15115]) ).
tcf(c_620,plain,
! [X0: $i] : k2_zfmisc_1(X0,np__0) = np__0,
inference(cnf_transformation,[],[f15116]) ).
tcf(c_621,plain,
! [X0: $i,X1: $i] :
( ( X1 = np__0 )
| ( X0 = np__0 )
| ( k2_zfmisc_1(X0,X1) != np__0 ) ),
inference(cnf_transformation,[],[f14274]) ).
tcf(c_622,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ~ r2_hidden(X5,X0)
| ~ r2_hidden(X4,X5)
| ~ r2_hidden(X3,X4)
| ~ r2_hidden(X2,X3)
| ~ r2_hidden(X1,X2)
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f10808]) ).
tcf(c_623,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ r2_hidden(X4,X0)
| ~ r2_hidden(X3,X4)
| ~ r2_hidden(X2,X3)
| ~ r2_hidden(X1,X2)
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f10809]) ).
tcf(c_624,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r2_hidden(X3,X0)
| ~ r2_hidden(X2,X3)
| ~ r2_hidden(X1,X2)
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f10810]) ).
tcf(c_625,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r2_hidden(X2,X0)
| ~ r2_hidden(X1,X2)
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f10811]) ).
tcf(c_626,plain,
! [X0: $i,X1: $i] :
( m1_subset_1(X0,X1)
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f10812]) ).
tcf(c_627,plain,
! [X0: $i,X1: $i] :
( r2_hidden(sK92(X1),X1)
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f10814]) ).
tcf(c_628,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r2_hidden(X2,X1)
| ~ r2_hidden(X0,X1)
| ~ r2_hidden(X0,sK92(X1)) ),
inference(cnf_transformation,[],[f10813]) ).
tcf(c_629,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ r2_hidden(sK93(X0,X1),X1)
| ~ r2_hidden(sK93(X0,X1),X0) ),
inference(cnf_transformation,[],[f10816]) ).
tcf(c_630,plain,
! [X0: $i,X1: $i] :
( r2_hidden(sK93(X0,X1),X1)
| r2_hidden(sK93(X0,X1),X0)
| ( X0 = X1 ) ),
inference(cnf_transformation,[],[f10815]) ).
tcf(c_631,plain,
! [X0: $i,X1: $i] :
( ~ r2_hidden(X1,X0)
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f10817]) ).
tcf(c_632,plain,
! [X0: $i,X1: $i] : m2_relset_1(sK94(X0,X1),X0,X1),
inference(cnf_transformation,[],[f10818]) ).
tcf(c_633,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X0 = X3 )
| ~ v1_relat_1(X3)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X3)
| ~ v1_funct_1(X0)
| ( k2_zfmisc_1(X1,X2) != k1_relat_1(X3) )
| ( k2_zfmisc_1(X1,X2) != k1_relat_1(X0) )
| ( k1_funct_1(X0,k2_tarski(k2_tarski(sK95(X1,X2,X0,X3),sK96(X1,X2,X0,X3)),k2_enumset1(sK95(X1,X2,X0,X3),sK95(X1,X2,X0,X3),sK95(X1,X2,X0,X3),sK95(X1,X2,X0,X3)))) != k1_funct_1(X3,k2_tarski(k2_tarski(sK95(X1,X2,X0,X3),sK96(X1,X2,X0,X3)),k2_enumset1(sK95(X1,X2,X0,X3),sK95(X1,X2,X0,X3),sK95(X1,X2,X0,X3),sK95(X1,X2,X0,X3)))) ) ),
inference(cnf_transformation,[],[f14275]) ).
tcf(c_634,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r2_hidden(sK95(X0,X1,X2,X3),X0)
| ( X2 = X3 )
| ~ v1_relat_1(X3)
| ~ v1_relat_1(X2)
| ~ v1_funct_1(X3)
| ~ v1_funct_1(X2)
| ( k2_zfmisc_1(X0,X1) != k1_relat_1(X3) )
| ( k2_zfmisc_1(X0,X1) != k1_relat_1(X2) ) ),
inference(cnf_transformation,[],[f10820]) ).
tcf(c_635,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r2_hidden(sK96(X0,X1,X2,X3),X1)
| ( X2 = X3 )
| ~ v1_relat_1(X3)
| ~ v1_relat_1(X2)
| ~ v1_funct_1(X3)
| ~ v1_funct_1(X2)
| ( k2_zfmisc_1(X0,X1) != k1_relat_1(X3) )
| ( k2_zfmisc_1(X0,X1) != k1_relat_1(X2) ) ),
inference(cnf_transformation,[],[f10819]) ).
tcf(c_636,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( X0 = X3 )
| ~ v1_funct_1(X3)
| ~ v1_funct_1(X0)
| ~ m2_relset_1(X3,k2_zfmisc_1(X1,X2),X4)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X2),X4)
| ~ v1_funct_2(X3,k2_zfmisc_1(X1,X2),X4)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X2),X4)
| ( k1_funct_1(X0,k2_tarski(k2_tarski(sK97(X1,X2,X0,X3),sK98(X1,X2,X0,X3)),k2_enumset1(sK97(X1,X2,X0,X3),sK97(X1,X2,X0,X3),sK97(X1,X2,X0,X3),sK97(X1,X2,X0,X3)))) != k1_funct_1(X3,k2_tarski(k2_tarski(sK97(X1,X2,X0,X3),sK98(X1,X2,X0,X3)),k2_enumset1(sK97(X1,X2,X0,X3),sK97(X1,X2,X0,X3),sK97(X1,X2,X0,X3),sK97(X1,X2,X0,X3)))) ) ),
inference(cnf_transformation,[],[f14276]) ).
tcf(c_637,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( m1_subset_1(sK98(X1,X2,X0,X4),X2)
| ( X0 = X4 )
| ~ v1_funct_1(X4)
| ~ v1_funct_1(X0)
| ~ m2_relset_1(X4,k2_zfmisc_1(X1,X2),X3)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X2),X3)
| ~ v1_funct_2(X4,k2_zfmisc_1(X1,X2),X3)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X2),X3) ),
inference(cnf_transformation,[],[f10823]) ).
tcf(c_638,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( m1_subset_1(sK97(X1,X2,X0,X4),X1)
| ( X0 = X4 )
| ~ v1_funct_1(X4)
| ~ v1_funct_1(X0)
| ~ m2_relset_1(X4,k2_zfmisc_1(X1,X2),X3)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X2),X3)
| ~ v1_funct_2(X4,k2_zfmisc_1(X1,X2),X3)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X2),X3) ),
inference(cnf_transformation,[],[f10822]) ).
tcf(c_639,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( r2_hidden(k1_funct_1(X0,k2_tarski(k2_tarski(X4,X5),k2_enumset1(X4,X4,X4,X4))),X3)
| ( X3 = np__0 )
| ~ v1_funct_1(X0)
| ~ r2_hidden(X5,X2)
| ~ r2_hidden(X4,X1)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X2),X3)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X2),X3) ),
inference(cnf_transformation,[],[f14277]) ).
tcf(c_640,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( X0 = X3 )
| ~ v1_funct_1(X3)
| ~ v1_funct_1(X0)
| ~ m2_relset_1(X3,k2_zfmisc_1(X1,X2),X4)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X2),X4)
| ~ v1_funct_2(X3,k2_zfmisc_1(X1,X2),X4)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X2),X4)
| ( k1_funct_1(X0,k2_tarski(k2_tarski(sK99(X1,X2,X0,X3),sK100(X1,X2,X0,X3)),k2_enumset1(sK99(X1,X2,X0,X3),sK99(X1,X2,X0,X3),sK99(X1,X2,X0,X3),sK99(X1,X2,X0,X3)))) != k1_funct_1(X3,k2_tarski(k2_tarski(sK99(X1,X2,X0,X3),sK100(X1,X2,X0,X3)),k2_enumset1(sK99(X1,X2,X0,X3),sK99(X1,X2,X0,X3),sK99(X1,X2,X0,X3),sK99(X1,X2,X0,X3)))) ) ),
inference(cnf_transformation,[],[f14278]) ).
tcf(c_641,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( r2_hidden(sK99(X1,X2,X0,X4),X1)
| ( X0 = X4 )
| ~ v1_funct_1(X4)
| ~ v1_funct_1(X0)
| ~ m2_relset_1(X4,k2_zfmisc_1(X1,X2),X3)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X2),X3)
| ~ v1_funct_2(X4,k2_zfmisc_1(X1,X2),X3)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X2),X3) ),
inference(cnf_transformation,[],[f10827]) ).
tcf(c_642,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( r2_hidden(sK100(X1,X2,X0,X4),X2)
| ( X0 = X4 )
| ~ v1_funct_1(X4)
| ~ v1_funct_1(X0)
| ~ m2_relset_1(X4,k2_zfmisc_1(X1,X2),X3)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X2),X3)
| ~ v1_funct_2(X4,k2_zfmisc_1(X1,X2),X3)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X2),X3) ),
inference(cnf_transformation,[],[f10826]) ).
tcf(c_643,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X0 = X2 )
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X0)
| ~ m2_relset_1(X2,X1,X3)
| ~ m2_relset_1(X0,X1,X3)
| ~ v1_funct_2(X2,X1,X3)
| ~ v1_funct_2(X0,X1,X3)
| ( k1_funct_1(X0,sK101(X1,X0,X2)) != k1_funct_1(X2,sK101(X1,X0,X2)) ) ),
inference(cnf_transformation,[],[f10830]) ).
tcf(c_644,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( m1_subset_1(sK101(X1,X0,X3),X1)
| ( X0 = X3 )
| ~ v1_funct_1(X3)
| ~ v1_funct_1(X0)
| ~ m2_relset_1(X3,X1,X2)
| ~ m2_relset_1(X0,X1,X2)
| ~ v1_funct_2(X3,X1,X2)
| ~ v1_funct_2(X0,X1,X2) ),
inference(cnf_transformation,[],[f10829]) ).
tcf(c_645,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X0 = X2 )
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X0)
| ~ m2_relset_1(X2,X1,X3)
| ~ m2_relset_1(X0,X1,X3)
| ~ v1_funct_2(X2,X1,X3)
| ~ v1_funct_2(X0,X1,X3)
| ( k1_funct_1(X0,sK102(X1,X0,X2)) != k1_funct_1(X2,sK102(X1,X0,X2)) ) ),
inference(cnf_transformation,[],[f10832]) ).
tcf(c_646,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r2_hidden(sK102(X1,X0,X3),X1)
| ( X0 = X3 )
| ~ v1_funct_1(X3)
| ~ v1_funct_1(X0)
| ~ m2_relset_1(X3,X1,X2)
| ~ m2_relset_1(X0,X1,X2)
| ~ v1_funct_2(X3,X1,X2)
| ~ v1_funct_2(X0,X1,X2) ),
inference(cnf_transformation,[],[f10831]) ).
tcf(c_647,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(sK103(X1,X2,X0),X1)
| ~ v1_funct_1(X0)
| ~ r2_hidden(X2,k2_relat_1(X0))
| ~ m2_relset_1(X0,X1,k2_relat_1(X0))
| ~ v1_funct_2(X0,X1,k2_relat_1(X0)) ),
inference(cnf_transformation,[],[f15117]) ).
tcf(c_648,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k1_funct_1(X0,sK103(X1,X2,X0)) = X2 )
| ~ v1_funct_1(X0)
| ~ r2_hidden(X2,k2_relat_1(X0))
| ~ m2_relset_1(X0,X1,k2_relat_1(X0))
| ~ v1_funct_2(X0,X1,k2_relat_1(X0)) ),
inference(cnf_transformation,[],[f15118]) ).
tcf(c_649,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(sK104(X1,X2,X0),X2)
| ( X2 = np__0 )
| ( k2_relat_1(X0) = X2 )
| ~ v1_funct_1(X0)
| ~ m2_relset_1(X0,X1,X2)
| ~ v1_funct_2(X0,X1,X2) ),
inference(cnf_transformation,[],[f14279]) ).
tcf(c_650,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X1 = np__0 )
| ( k2_relat_1(X2) = X1 )
| ~ v1_funct_1(X2)
| ~ r2_hidden(X3,X0)
| ~ m2_relset_1(X2,X0,X1)
| ~ v1_funct_2(X2,X0,X1)
| ( sK104(X0,X1,X2) != k1_funct_1(X2,X3) ) ),
inference(cnf_transformation,[],[f14280]) ).
tcf(c_651,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r2_hidden(k1_funct_1(X0,X3),X2)
| ( X2 = np__0 )
| ~ v1_funct_1(X0)
| ~ r2_hidden(X3,X1)
| ~ m2_relset_1(X0,X1,X2)
| ~ v1_funct_2(X0,X1,X2) ),
inference(cnf_transformation,[],[f14281]) ).
tcf(c_652,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r2_hidden(k1_funct_1(X0,X3),k2_relat_1(X0))
| ( X2 = np__0 )
| ~ v1_funct_1(X0)
| ~ r2_hidden(X3,X1)
| ~ m2_relset_1(X0,X1,X2)
| ~ v1_funct_2(X0,X1,X2) ),
inference(cnf_transformation,[],[f14282]) ).
tcf(c_653,plain,
! [X0: $i,X1: $i] :
( v1_funct_2(X0,k1_relat_1(X0),X1)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0)
| ~ r2_hidden(k1_funct_1(X0,sK105(k1_relat_1(X0),X1,X0)),X1) ),
inference(cnf_transformation,[],[f15121]) ).
tcf(c_654,plain,
! [X0: $i,X1: $i] :
( v1_funct_2(X0,k1_relat_1(X0),X1)
| r2_hidden(sK105(k1_relat_1(X0),X1,X0),k1_relat_1(X0))
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0) ),
inference(cnf_transformation,[],[f15122]) ).
tcf(c_655,plain,
! [X0: $i,X1: $i] :
( m2_relset_1(X0,k1_relat_1(X0),X1)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0)
| ~ r2_hidden(k1_funct_1(X0,sK105(k1_relat_1(X0),X1,X0)),X1) ),
inference(cnf_transformation,[],[f15123]) ).
tcf(c_656,plain,
! [X0: $i,X1: $i] :
( m2_relset_1(X0,k1_relat_1(X0),X1)
| r2_hidden(sK105(k1_relat_1(X0),X1,X0),k1_relat_1(X0))
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0) ),
inference(cnf_transformation,[],[f15124]) ).
tcf(c_657,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X1,k2_relat_1(X0))
| r2_hidden(sK106(X1,X0),X1)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0) ),
inference(cnf_transformation,[],[f10846]) ).
tcf(c_658,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(X2,k2_relat_1(X0))
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0)
| ~ r2_hidden(X1,k1_relat_1(X0))
| ( k1_funct_1(X0,X1) != sK106(X2,X0) ) ),
inference(cnf_transformation,[],[f10845]) ).
tcf(c_660,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k2_relat_1(X0) = X2 )
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0)
| ~ r2_hidden(X1,k1_relat_1(X0))
| ~ r2_hidden(sK107(X0,X2),X2)
| ( k1_funct_1(X0,X1) != sK107(X0,X2) ) ),
inference(cnf_transformation,[],[f10853]) ).
tcf(c_661,plain,
! [X0: $i,X1: $i] :
( r2_hidden(sK107(X0,X1),X1)
| r2_hidden(sK108(X0,X1),k1_relat_1(X0))
| ( k2_relat_1(X0) = X1 )
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0) ),
inference(cnf_transformation,[],[f10852]) ).
tcf(c_662,plain,
! [X0: $i,X1: $i] :
( r2_hidden(sK107(X0,X1),X1)
| ( k2_relat_1(X0) = X1 )
| ( k1_funct_1(X0,sK108(X0,X1)) = sK107(X0,X1) )
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0) ),
inference(cnf_transformation,[],[f10851]) ).
tcf(c_663,plain,
! [X0: $i,X1: $i] :
( r2_hidden(k1_funct_1(X1,X0),k2_relat_1(X1))
| ~ v1_relat_1(X1)
| ~ v1_funct_1(X1)
| ~ r2_hidden(X0,k1_relat_1(X1)) ),
inference(cnf_transformation,[],[f15126]) ).
tcf(c_664,plain,
! [X0: $i,X1: $i] :
( r2_hidden(sK109(X1,X0),k1_relat_1(X1))
| ~ v1_relat_1(X1)
| ~ v1_funct_1(X1)
| ~ r2_hidden(X0,k2_relat_1(X1)) ),
inference(cnf_transformation,[],[f15127]) ).
tcf(c_665,plain,
! [X0: $i,X1: $i] :
( ( k1_funct_1(X1,sK109(X1,X0)) = X0 )
| ~ v1_relat_1(X1)
| ~ v1_funct_1(X1)
| ~ r2_hidden(X0,k2_relat_1(X1)) ),
inference(cnf_transformation,[],[f15128]) ).
tcf(c_666,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X0)
| ( k1_relat_1(X0) != k1_relat_1(X1) )
| ( k1_funct_1(X0,sK110(X0,X1)) != k1_funct_1(X1,sK110(X0,X1)) ) ),
inference(cnf_transformation,[],[f10855]) ).
tcf(c_667,plain,
! [X0: $i,X1: $i] :
( r2_hidden(sK110(X0,X1),k1_relat_1(X0))
| ( X0 = X1 )
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X0)
| ( k1_relat_1(X0) != k1_relat_1(X1) ) ),
inference(cnf_transformation,[],[f10854]) ).
tcf(c_668,plain,
! [X0: $i,X1: $i] :
( r2_hidden(k2_tarski(k2_tarski(X0,k1_funct_1(X1,X0)),k2_enumset1(X0,X0,X0,X0)),X1)
| ~ v1_relat_1(X1)
| ~ v1_funct_1(X1)
| ~ r2_hidden(X0,k1_relat_1(X1)) ),
inference(cnf_transformation,[],[f15129]) ).
tcf(c_669,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(X0,k1_relat_1(X2))
| ~ v1_relat_1(X2)
| ~ v1_funct_1(X2)
| ~ r2_hidden(k2_tarski(k2_tarski(X0,X1),k2_enumset1(X0,X0,X0,X0)),X2) ),
inference(cnf_transformation,[],[f14284]) ).
tcf(c_670,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k1_funct_1(X2,X0) = X1 )
| ~ v1_relat_1(X2)
| ~ v1_funct_1(X2)
| ~ r2_hidden(k2_tarski(k2_tarski(X0,X1),k2_enumset1(X0,X0,X0,X0)),X2) ),
inference(cnf_transformation,[],[f14285]) ).
tcf(c_671,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k1_funct_1(X2,X0) = X1 )
| ~ v1_relat_1(X2)
| ~ v1_funct_1(X2)
| ~ r2_hidden(X0,k1_relat_1(X2))
| ~ r2_hidden(k2_tarski(k2_tarski(X0,X1),k2_enumset1(X0,X0,X0,X0)),X2) ),
inference(cnf_transformation,[],[f14286]) ).
tcf(c_674,plain,
! [X0: $i,X1: $i] :
( r2_hidden(X1,k1_relat_1(X0))
| ( k1_funct_1(X0,X1) = np__0 )
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0) ),
inference(cnf_transformation,[],[f15132]) ).
tcf(c_675,plain,
! [X0: $i,X1: $i] :
( v1_funct_2(X0,np__0,X1)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0)
| ( k1_relat_1(X0) != np__0 ) ),
inference(cnf_transformation,[],[f14291]) ).
tcf(c_676,plain,
! [X0: $i,X1: $i] :
( m2_relset_1(X0,np__0,X1)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0)
| ( k1_relat_1(X0) != np__0 ) ),
inference(cnf_transformation,[],[f14292]) ).
tcf(c_677,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X0 = X2 )
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X0)
| ~ m2_relset_1(X2,X3,np__0)
| ~ m2_relset_1(X0,X1,np__0) ),
inference(cnf_transformation,[],[f14293]) ).
tcf(c_678,plain,
! [X0: $i,X1: $i] :
( ( X0 = np__0 )
| ~ v1_funct_1(X0)
| ~ m2_relset_1(X0,X1,np__0) ),
inference(cnf_transformation,[],[f14294]) ).
tcf(c_679,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X0 = X2 )
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X0)
| ~ m2_relset_1(X2,np__0,X3)
| ~ m2_relset_1(X0,np__0,X1) ),
inference(cnf_transformation,[],[f14295]) ).
tcf(c_680,plain,
! [X0: $i,X1: $i] :
( ( X0 = np__0 )
| ~ v1_funct_1(X0)
| ~ m2_relset_1(X0,np__0,X1) ),
inference(cnf_transformation,[],[f14296]) ).
tcf(c_682,plain,
! [X0: $i,X1: $i] : m2_relset_1(np__0,X0,X1),
inference(cnf_transformation,[],[f14298]) ).
tcf(c_683,plain,
! [X0: $i,X1: $i,X2: $i] :
( m2_relset_1(X0,X1,X2)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0)
| ( k1_relat_1(X0) != np__0 ) ),
inference(cnf_transformation,[],[f14300]) ).
tcf(c_684,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = np__0 )
| ~ m2_relset_1(X0,X1,np__0)
| ~ m2_relset_1(X0,X1,X2) ),
inference(cnf_transformation,[],[f14301]) ).
tcf(c_685,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = np__0 )
| ~ m2_relset_1(X0,np__0,X2)
| ~ m2_relset_1(X0,X1,X2) ),
inference(cnf_transformation,[],[f14302]) ).
tcf(c_686,plain,
! [X0: $i,X1: $i] : m2_relset_1(np__0,X0,X1),
inference(cnf_transformation,[],[f14303]) ).
tcf(c_687,plain,
! [X0: $i] :
( ( X0 = np__0 )
| ( sK111(X0) != sK112(X0) ) ),
inference(cnf_transformation,[],[f14304]) ).
tcf(c_688,plain,
! [X0: $i] :
( ( X0 = np__0 )
| ( k1_relat_1(sK111(X0)) = X0 ) ),
inference(cnf_transformation,[],[f14305]) ).
tcf(c_689,plain,
! [X0: $i] :
( ( X0 = np__0 )
| ( k1_relat_1(sK112(X0)) = X0 ) ),
inference(cnf_transformation,[],[f14306]) ).
tcf(c_690,plain,
! [X0: $i] :
( v1_relat_1(sK112(X0))
| ( X0 = np__0 ) ),
inference(cnf_transformation,[],[f14307]) ).
tcf(c_691,plain,
! [X0: $i] :
( v1_funct_1(sK112(X0))
| ( X0 = np__0 ) ),
inference(cnf_transformation,[],[f14308]) ).
tcf(c_692,plain,
! [X0: $i] :
( v1_relat_1(sK111(X0))
| ( X0 = np__0 ) ),
inference(cnf_transformation,[],[f14309]) ).
tcf(c_693,plain,
! [X0: $i] :
( v1_funct_1(sK111(X0))
| ( X0 = np__0 ) ),
inference(cnf_transformation,[],[f14310]) ).
tcf(c_694,plain,
! [X0: $i,X1: $i] :
( r2_hidden(sK113(X1,X0),X0)
| ( X0 = np__0 )
| ~ m1_subset_1(X0,k1_zfmisc_1(X1)) ),
inference(cnf_transformation,[],[f14311]) ).
tcf(c_695,plain,
! [X0: $i,X1: $i] :
( m1_subset_1(sK113(X1,X0),X1)
| ( X0 = np__0 )
| ~ m1_subset_1(X0,k1_zfmisc_1(X1)) ),
inference(cnf_transformation,[],[f14312]) ).
tcf(c_696,plain,
! [X0: $i] : m1_subset_1(np__0,k1_zfmisc_1(X0)),
inference(cnf_transformation,[],[f14313]) ).
tcf(c_697,plain,
! [X0: $i] :
( r2_hidden(sK114(X0),X0)
| ( X0 = np__0 ) ),
inference(cnf_transformation,[],[f14314]) ).
tcf(c_698,plain,
! [X0: $i] : ~ r2_hidden(X0,np__0),
inference(cnf_transformation,[],[f15133]) ).
tcf(c_699,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v1_funct_2(X0,X1,X3)
| ( X2 = np__0 )
| ~ v1_funct_1(X0)
| ~ r1_tarski(k2_relat_1(X0),X3)
| ~ m2_relset_1(X0,X1,X2)
| ~ v1_funct_2(X0,X1,X2) ),
inference(cnf_transformation,[],[f14317]) ).
tcf(c_700,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( m2_relset_1(X0,X1,X3)
| ( X2 = np__0 )
| ~ v1_funct_1(X0)
| ~ r1_tarski(k2_relat_1(X0),X3)
| ~ m2_relset_1(X0,X1,X2)
| ~ v1_funct_2(X0,X1,X2) ),
inference(cnf_transformation,[],[f14318]) ).
tcf(c_701,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_funct_2(X0,np__0,X1)
| ~ v1_funct_1(X0)
| ~ m2_relset_1(X0,np__0,X2)
| ~ v1_funct_2(X0,np__0,X2)
| ~ r1_tarski(k2_relat_1(X0),X1) ),
inference(cnf_transformation,[],[f15135]) ).
tcf(c_702,plain,
! [X0: $i,X1: $i,X2: $i] :
( m2_relset_1(X0,np__0,X1)
| ~ v1_funct_1(X0)
| ~ m2_relset_1(X0,np__0,X2)
| ~ v1_funct_2(X0,np__0,X2)
| ~ r1_tarski(k2_relat_1(X0),X1) ),
inference(cnf_transformation,[],[f15136]) ).
tcf(c_703,plain,
! [X0: $i,X1: $i] :
( v1_funct_2(X0,k1_relat_1(X0),X1)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0)
| ~ r1_tarski(k2_relat_1(X0),X1) ),
inference(cnf_transformation,[],[f10896]) ).
tcf(c_705,plain,
! [X0: $i] :
( v1_funct_2(X0,k1_relat_1(X0),k2_relat_1(X0))
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0) ),
inference(cnf_transformation,[],[f10899]) ).
tcf(c_707,plain,
! [X0: $i,X1: $i,X2: $i] :
( m2_relset_1(X0,X1,X2)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0)
| ( k2_relat_1(X0) != np__0 ) ),
inference(cnf_transformation,[],[f14323]) ).
tcf(c_710,plain,
! [X0: $i] :
( m2_relset_1(X0,k1_relat_1(X0),k2_relat_1(X0))
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0) ),
inference(cnf_transformation,[],[f10907]) ).
tcf(c_712,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( m2_relset_1(X0,X1,X3)
| ~ r1_tarski(k2_relat_1(X0),X3)
| ~ m2_relset_1(X0,X1,X2) ),
inference(cnf_transformation,[],[f10910]) ).
tcf(c_713,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k1_relat_1(X0),X1)
| ~ m2_relset_1(X0,X1,X2) ),
inference(cnf_transformation,[],[f10912]) ).
tcf(c_714,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k2_relat_1(X0),X2)
| ~ m2_relset_1(X0,X1,X2) ),
inference(cnf_transformation,[],[f10911]) ).
tcf(c_715,plain,
! [X0: $i,X1: $i,X2: $i] :
( m2_relset_1(X0,X2,X1)
| ~ v1_relat_1(X0)
| ~ r1_tarski(k1_relat_1(X0),X2)
| ~ r1_tarski(k2_relat_1(X0),X1) ),
inference(cnf_transformation,[],[f10913]) ).
tcf(c_716,plain,
! [X0: $i,X1: $i] :
( m2_relset_1(X0,k1_relat_1(X0),X1)
| ~ v1_relat_1(X0)
| ~ r1_tarski(k2_relat_1(X0),X1) ),
inference(cnf_transformation,[],[f10914]) ).
tcf(c_717,plain,
! [X0: $i,X1: $i] :
( m2_relset_1(X0,X1,k2_relat_1(X0))
| ~ v1_relat_1(X0)
| ~ r1_tarski(k1_relat_1(X0),X1) ),
inference(cnf_transformation,[],[f10915]) ).
tcf(c_718,plain,
! [X0: $i,X1: $i] :
( ( X0 = np__0 )
| ( k1_relat_1(sK115(X0,X1)) = X1 ) ),
inference(cnf_transformation,[],[f14325]) ).
tcf(c_719,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k2_relat_1(sK115(X0,X1)),X0)
| ( X0 = np__0 ) ),
inference(cnf_transformation,[],[f14326]) ).
tcf(c_720,plain,
! [X0: $i,X1: $i] :
( v1_relat_1(sK115(X0,X1))
| ( X0 = np__0 ) ),
inference(cnf_transformation,[],[f14327]) ).
tcf(c_721,plain,
! [X0: $i,X1: $i] :
( v1_funct_1(sK115(X0,X1))
| ( X0 = np__0 ) ),
inference(cnf_transformation,[],[f14328]) ).
tcf(c_722,plain,
! [X0: $i] : k1_relat_1(sK115(X0,np__0)) = np__0,
inference(cnf_transformation,[],[f15137]) ).
tcf(c_723,plain,
! [X0: $i] : r1_tarski(k2_relat_1(sK115(X0,np__0)),X0),
inference(cnf_transformation,[],[f15138]) ).
tcf(c_724,plain,
! [X0: $i] : v1_relat_1(sK115(X0,np__0)),
inference(cnf_transformation,[],[f15139]) ).
tcf(c_725,plain,
! [X0: $i] : v1_funct_1(sK115(X0,np__0)),
inference(cnf_transformation,[],[f15140]) ).
tcf(c_726,plain,
! [X0: $i] :
( ( k1_relat_1(X0) = np__0 )
| ~ v1_relat_1(X0)
| ( k2_relat_1(X0) != np__0 ) ),
inference(cnf_transformation,[],[f14333]) ).
tcf(c_727,plain,
! [X0: $i] :
( ( k2_relat_1(X0) = np__0 )
| ~ v1_relat_1(X0)
| ( k1_relat_1(X0) != np__0 ) ),
inference(cnf_transformation,[],[f14334]) ).
tcf(c_728,plain,
! [X0: $i] :
( ( X0 = np__0 )
| ~ v1_relat_1(X0)
| ( k1_relat_1(X0) != np__0 ) ),
inference(cnf_transformation,[],[f14335]) ).
tcf(c_729,plain,
! [X0: $i] :
( ( X0 = np__0 )
| ~ v1_relat_1(X0)
| ( k2_relat_1(X0) != np__0 ) ),
inference(cnf_transformation,[],[f14336]) ).
tcf(c_730,plain,
k1_relat_1(np__0) = np__0,
inference(cnf_transformation,[],[f14337]) ).
tcf(c_731,plain,
k2_relat_1(np__0) = np__0,
inference(cnf_transformation,[],[f14338]) ).
tcf(c_732,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k4_xboole_0(k2_relat_1(X0),k2_relat_1(X1)),k2_relat_1(k4_xboole_0(X0,X1)))
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f10930]) ).
tcf(c_733,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k1_relat_1(X0),k1_relat_1(X1))
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0)
| ~ r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f10932]) ).
tcf(c_734,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k2_relat_1(X0),k2_relat_1(X1))
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0)
| ~ r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f10931]) ).
tcf(c_735,plain,
! [X0: $i] :
( r1_tarski(X0,k2_zfmisc_1(k1_relat_1(X0),k2_relat_1(X0)))
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f10933]) ).
tcf(c_737,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(X1,k2_relat_1(X2))
| ~ v1_relat_1(X2)
| ~ r2_hidden(k2_tarski(k2_tarski(X0,X1),k2_enumset1(X0,X0,X0,X0)),X2) ),
inference(cnf_transformation,[],[f14340]) ).
tcf(c_738,plain,
! [X0: $i,X1: $i] :
( r2_hidden(sK116(X1),k1_relat_1(X1))
| ~ v1_relat_1(X1)
| ~ r2_hidden(X0,k2_relat_1(X1)) ),
inference(cnf_transformation,[],[f10936]) ).
tcf(c_739,plain,
! [X0: $i,X1: $i] :
( r2_hidden(sK117(X1),k2_relat_1(X1))
| ~ v1_relat_1(X1)
| ~ r2_hidden(X0,k1_relat_1(X1)) ),
inference(cnf_transformation,[],[f10937]) ).
tcf(c_740,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k2_relat_1(X1) = X2 )
| ~ v1_relat_1(X1)
| ~ r2_hidden(sK118(X1,X2),X2)
| ~ r2_hidden(k2_tarski(k2_tarski(X0,sK118(X1,X2)),k2_enumset1(X0,X0,X0,X0)),X1) ),
inference(cnf_transformation,[],[f14341]) ).
tcf(c_741,plain,
! [X0: $i,X1: $i] :
( r2_hidden(sK118(X0,X1),X1)
| r2_hidden(k2_tarski(k2_tarski(sK119(X0,X1),sK118(X0,X1)),k2_enumset1(sK119(X0,X1),sK119(X0,X1),sK119(X0,X1),sK119(X0,X1))),X0)
| ( k2_relat_1(X0) = X1 )
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f14342]) ).
tcf(c_743,plain,
! [X0: $i,X1: $i] :
( r2_hidden(k2_tarski(k2_tarski(sK120(X1,X0),X0),k2_enumset1(sK120(X1,X0),sK120(X1,X0),sK120(X1,X0),sK120(X1,X0))),X1)
| ~ v1_relat_1(X1)
| ~ r2_hidden(X0,k2_relat_1(X1)) ),
inference(cnf_transformation,[],[f15142]) ).
tcf(c_744,plain,
! [X0: $i] :
( v1_xboole_0(k2_relat_1(X0))
| ~ v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f10943]) ).
tcf(c_745,plain,
! [X0: $i] :
( v1_relat_1(k2_relat_1(X0))
| ~ v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f10942]) ).
tcf(c_746,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| ~ v1_relat_1(X0)
| ~ v1_xboole_0(k2_relat_1(X0)) ),
inference(cnf_transformation,[],[f10944]) ).
tcf(c_747,plain,
v1_relat_1(sK121),
inference(cnf_transformation,[],[f10946]) ).
tcf(c_748,plain,
v1_funct_1(sK121),
inference(cnf_transformation,[],[f10945]) ).
tcf(c_749,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( m2_relset_1(X0,X3,X2)
| ~ r1_tarski(k1_relat_1(X0),X3)
| ~ m2_relset_1(X0,X1,X2) ),
inference(cnf_transformation,[],[f10947]) ).
tcf(c_750,plain,
! [X0: $i] :
( v1_xboole_0(k1_relat_1(X0))
| ~ v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f10949]) ).
tcf(c_751,plain,
! [X0: $i] :
( v1_relat_1(k1_relat_1(X0))
| ~ v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f10948]) ).
tcf(c_752,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| ~ v1_relat_1(X0)
| ~ v1_xboole_0(k1_relat_1(X0)) ),
inference(cnf_transformation,[],[f10950]) ).
tcf(c_753,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( k2_tarski(k2_tarski(sK122(X1,X2,X3),sK123(X1,X2,X3)),k2_enumset1(sK122(X1,X2,X3),sK122(X1,X2,X3),sK122(X1,X2,X3),sK122(X1,X2,X3))) = X3 )
| ~ r2_hidden(X3,X0)
| ~ r1_tarski(X0,k2_zfmisc_1(X1,X2)) ),
inference(cnf_transformation,[],[f14345]) ).
tcf(c_754,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( m1_subset_1(sK123(X1,X2,X3),X2)
| ~ r2_hidden(X3,X0)
| ~ r1_tarski(X0,k2_zfmisc_1(X1,X2)) ),
inference(cnf_transformation,[],[f10952]) ).
tcf(c_755,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( m1_subset_1(sK122(X1,X2,X3),X1)
| ~ r2_hidden(X3,X0)
| ~ r1_tarski(X0,k2_zfmisc_1(X1,X2)) ),
inference(cnf_transformation,[],[f10951]) ).
tcf(c_756,plain,
! [X0: $i] :
( r2_hidden(sK124(X0),X0)
| r1_tarski(X0,k2_zfmisc_1(sK125(X0),sK126(X0))) ),
inference(cnf_transformation,[],[f10955]) ).
tcf(c_757,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(X2,k2_zfmisc_1(sK125(X2),sK126(X2)))
| ( k2_tarski(k2_tarski(X0,X1),k2_enumset1(X0,X0,X0,X0)) != sK124(X2) ) ),
inference(cnf_transformation,[],[f14346]) ).
tcf(c_758,plain,
! [X0: $i] :
( r2_hidden(sK127(X0),X0)
| ( X0 = np__0 ) ),
inference(cnf_transformation,[],[f14347]) ).
tcf(c_759,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2 = np__0 )
| ~ r2_hidden(X0,X2)
| ( k2_tarski(k2_tarski(X0,X1),k2_enumset1(X0,X0,X0,X0)) != sK127(X2) ) ),
inference(cnf_transformation,[],[f14348]) ).
tcf(c_760,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2 = np__0 )
| ~ r2_hidden(X1,X2)
| ( k2_tarski(k2_tarski(X0,X1),k2_enumset1(X0,X0,X0,X0)) != sK127(X2) ) ),
inference(cnf_transformation,[],[f14349]) ).
tcf(c_761,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( k2_tarski(k2_tarski(sK128(X1,X2,X3),sK129(X1,X2,X3)),k2_enumset1(sK128(X1,X2,X3),sK128(X1,X2,X3),sK128(X1,X2,X3),sK128(X1,X2,X3))) = X3 )
| ~ r2_hidden(X3,X0)
| ~ m2_relset_1(X0,X1,X2) ),
inference(cnf_transformation,[],[f14350]) ).
tcf(c_762,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r2_hidden(sK128(X1,X2,X3),X1)
| ~ r2_hidden(X3,X0)
| ~ m2_relset_1(X0,X1,X2) ),
inference(cnf_transformation,[],[f10960]) ).
tcf(c_763,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r2_hidden(sK129(X1,X2,X3),X2)
| ~ r2_hidden(X3,X0)
| ~ m2_relset_1(X0,X1,X2) ),
inference(cnf_transformation,[],[f10959]) ).
tcf(c_767,plain,
! [X0: $i] :
( sP9(X0)
| v1_relat_1(X0)
| r2_hidden(sK133(X0),X0) ),
inference(cnf_transformation,[],[f10968]) ).
tcf(c_768,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP9(X2)
| v1_relat_1(X2)
| ( k2_tarski(k2_tarski(X0,X1),k2_enumset1(X0,X0,X0,X0)) != sK133(X2) ) ),
inference(cnf_transformation,[],[f14353]) ).
tcf(c_769,plain,
! [X0: $i] :
( sP9(X0)
| v1_funct_1(X0)
| r2_hidden(sK133(X0),X0) ),
inference(cnf_transformation,[],[f10966]) ).
tcf(c_770,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP9(X2)
| v1_funct_1(X2)
| ( k2_tarski(k2_tarski(X0,X1),k2_enumset1(X0,X0,X0,X0)) != sK133(X2) ) ),
inference(cnf_transformation,[],[f14354]) ).
tcf(c_771,plain,
! [X0: $i] :
( v1_funct_1(X0)
| ( sK135(X0) != sK136(X0) ) ),
inference(cnf_transformation,[],[f10972]) ).
tcf(c_772,plain,
! [X0: $i] :
( v1_funct_1(X0)
| r2_hidden(k2_tarski(k2_tarski(sK134(X0),sK135(X0)),k2_enumset1(sK134(X0),sK134(X0),sK134(X0),sK134(X0))),X0) ),
inference(cnf_transformation,[],[f14355]) ).
tcf(c_773,plain,
! [X0: $i] :
( v1_funct_1(X0)
| r2_hidden(k2_tarski(k2_tarski(sK134(X0),sK136(X0)),k2_enumset1(sK134(X0),sK134(X0),sK134(X0),sK134(X0))),X0) ),
inference(cnf_transformation,[],[f14356]) ).
tcf(c_774,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X1 = X3 )
| ~ v1_funct_1(X2)
| ~ r2_hidden(k2_tarski(k2_tarski(X0,X3),k2_enumset1(X0,X0,X0,X0)),X2)
| ~ r2_hidden(k2_tarski(k2_tarski(X0,X1),k2_enumset1(X0,X0,X0,X0)),X2) ),
inference(cnf_transformation,[],[f14357]) ).
tcf(c_775,plain,
! [X0: $i] :
( r2_hidden(k2_tarski(k2_tarski(sK137(X0),sK138(X0)),k2_enumset1(sK137(X0),sK137(X0),sK137(X0),sK137(X0))),X0)
| ( X0 = np__0 )
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f14358]) ).
tcf(c_776,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k1_relat_1(X0) = X1 )
| ~ v1_relat_1(X0)
| ~ r2_hidden(sK139(X0,X1),X1)
| ~ r2_hidden(k2_tarski(k2_tarski(sK139(X0,X1),X2),k2_enumset1(sK139(X0,X1),sK139(X0,X1),sK139(X0,X1),sK139(X0,X1))),X0) ),
inference(cnf_transformation,[],[f14359]) ).
tcf(c_777,plain,
! [X0: $i,X1: $i] :
( r2_hidden(sK139(X0,X1),X1)
| r2_hidden(k2_tarski(k2_tarski(sK139(X0,X1),sK140(X0,X1)),k2_enumset1(sK139(X0,X1),sK139(X0,X1),sK139(X0,X1),sK139(X0,X1))),X0)
| ( k1_relat_1(X0) = X1 )
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f14360]) ).
tcf(c_778,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(X0,k1_relat_1(X2))
| ~ v1_relat_1(X2)
| ~ r2_hidden(k2_tarski(k2_tarski(X0,X1),k2_enumset1(X0,X0,X0,X0)),X2) ),
inference(cnf_transformation,[],[f15143]) ).
tcf(c_779,plain,
! [X0: $i,X1: $i] :
( r2_hidden(k2_tarski(k2_tarski(X0,sK141(X1,X0)),k2_enumset1(X0,X0,X0,X0)),X1)
| ~ v1_relat_1(X1)
| ~ r2_hidden(X0,k1_relat_1(X1)) ),
inference(cnf_transformation,[],[f15144]) ).
tcf(c_780,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,X1)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0)
| ~ r2_hidden(k2_tarski(k2_tarski(sK142(X0,X1),sK143(X0,X1)),k2_enumset1(sK142(X0,X1),sK142(X0,X1),sK142(X0,X1),sK142(X0,X1))),X1) ),
inference(cnf_transformation,[],[f14363]) ).
tcf(c_781,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,X1)
| r2_hidden(k2_tarski(k2_tarski(sK142(X0,X1),sK143(X0,X1)),k2_enumset1(sK142(X0,X1),sK142(X0,X1),sK142(X0,X1),sK142(X0,X1))),X0)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f14364]) ).
tcf(c_783,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0)
| ~ r2_hidden(k2_tarski(k2_tarski(sK144(X0,X1),sK145(X0,X1)),k2_enumset1(sK144(X0,X1),sK144(X0,X1),sK144(X0,X1),sK144(X0,X1))),X1)
| ~ r2_hidden(k2_tarski(k2_tarski(sK144(X0,X1),sK145(X0,X1)),k2_enumset1(sK144(X0,X1),sK144(X0,X1),sK144(X0,X1),sK144(X0,X1))),X0) ),
inference(cnf_transformation,[],[f14366]) ).
tcf(c_784,plain,
! [X0: $i,X1: $i] :
( r2_hidden(k2_tarski(k2_tarski(sK144(X0,X1),sK145(X0,X1)),k2_enumset1(sK144(X0,X1),sK144(X0,X1),sK144(X0,X1),sK144(X0,X1))),X1)
| r2_hidden(k2_tarski(k2_tarski(sK144(X0,X1),sK145(X0,X1)),k2_enumset1(sK144(X0,X1),sK144(X0,X1),sK144(X0,X1),sK144(X0,X1))),X0)
| ( X0 = X1 )
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f14367]) ).
tcf(c_787,plain,
! [X0: $i] :
( v1_relat_1(X0)
| r2_hidden(sK146(X0),X0) ),
inference(cnf_transformation,[],[f10987]) ).
tcf(c_788,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_relat_1(X2)
| ( k2_tarski(k2_tarski(X0,X1),k2_enumset1(X0,X0,X0,X0)) != sK146(X2) ) ),
inference(cnf_transformation,[],[f14370]) ).
tcf(c_789,plain,
! [X0: $i,X1: $i] :
( ( k2_tarski(k2_tarski(sK147(X0),sK148(X0)),k2_enumset1(sK147(X0),sK147(X0),sK147(X0),sK147(X0))) = X0 )
| ~ v1_relat_1(X1)
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f14371]) ).
tcf(c_790,plain,
! [X0: $i,X1: $i] :
( r2_hidden(sK150(X1),X1)
| r2_hidden(sK149(X0),X0)
| ( X0 = X1 )
| ~ r2_hidden(k2_tarski(k2_tarski(sK151(X0,X1),sK152(X0,X1)),k2_enumset1(sK151(X0,X1),sK151(X0,X1),sK151(X0,X1),sK151(X0,X1))),X1)
| ~ r2_hidden(k2_tarski(k2_tarski(sK151(X0,X1),sK152(X0,X1)),k2_enumset1(sK151(X0,X1),sK151(X0,X1),sK151(X0,X1),sK151(X0,X1))),X0) ),
inference(cnf_transformation,[],[f14372]) ).
tcf(c_791,plain,
! [X0: $i,X1: $i] :
( r2_hidden(sK150(X1),X1)
| r2_hidden(sK149(X0),X0)
| r2_hidden(k2_tarski(k2_tarski(sK151(X0,X1),sK152(X0,X1)),k2_enumset1(sK151(X0,X1),sK151(X0,X1),sK151(X0,X1),sK151(X0,X1))),X1)
| r2_hidden(k2_tarski(k2_tarski(sK151(X0,X1),sK152(X0,X1)),k2_enumset1(sK151(X0,X1),sK151(X0,X1),sK151(X0,X1),sK151(X0,X1))),X0)
| ( X0 = X1 ) ),
inference(cnf_transformation,[],[f14373]) ).
tcf(c_792,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r2_hidden(sK149(X3),X3)
| ( X2 = X3 )
| ~ r2_hidden(k2_tarski(k2_tarski(sK151(X3,X2),sK152(X3,X2)),k2_enumset1(sK151(X3,X2),sK151(X3,X2),sK151(X3,X2),sK151(X3,X2))),X3)
| ~ r2_hidden(k2_tarski(k2_tarski(sK151(X3,X2),sK152(X3,X2)),k2_enumset1(sK151(X3,X2),sK151(X3,X2),sK151(X3,X2),sK151(X3,X2))),X2)
| ( k2_tarski(k2_tarski(X0,X1),k2_enumset1(X0,X0,X0,X0)) != sK150(X2) ) ),
inference(cnf_transformation,[],[f14374]) ).
tcf(c_793,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r2_hidden(sK149(X3),X3)
| r2_hidden(k2_tarski(k2_tarski(sK151(X3,X2),sK152(X3,X2)),k2_enumset1(sK151(X3,X2),sK151(X3,X2),sK151(X3,X2),sK151(X3,X2))),X3)
| r2_hidden(k2_tarski(k2_tarski(sK151(X3,X2),sK152(X3,X2)),k2_enumset1(sK151(X3,X2),sK151(X3,X2),sK151(X3,X2),sK151(X3,X2))),X2)
| ( X2 = X3 )
| ( k2_tarski(k2_tarski(X0,X1),k2_enumset1(X0,X0,X0,X0)) != sK150(X2) ) ),
inference(cnf_transformation,[],[f14375]) ).
tcf(c_794,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r2_hidden(sK150(X3),X3)
| ( X2 = X3 )
| ~ r2_hidden(k2_tarski(k2_tarski(sK151(X2,X3),sK152(X2,X3)),k2_enumset1(sK151(X2,X3),sK151(X2,X3),sK151(X2,X3),sK151(X2,X3))),X3)
| ~ r2_hidden(k2_tarski(k2_tarski(sK151(X2,X3),sK152(X2,X3)),k2_enumset1(sK151(X2,X3),sK151(X2,X3),sK151(X2,X3),sK151(X2,X3))),X2)
| ( k2_tarski(k2_tarski(X0,X1),k2_enumset1(X0,X0,X0,X0)) != sK149(X2) ) ),
inference(cnf_transformation,[],[f14376]) ).
tcf(c_795,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r2_hidden(sK150(X3),X3)
| r2_hidden(k2_tarski(k2_tarski(sK151(X2,X3),sK152(X2,X3)),k2_enumset1(sK151(X2,X3),sK151(X2,X3),sK151(X2,X3),sK151(X2,X3))),X3)
| r2_hidden(k2_tarski(k2_tarski(sK151(X2,X3),sK152(X2,X3)),k2_enumset1(sK151(X2,X3),sK151(X2,X3),sK151(X2,X3),sK151(X2,X3))),X2)
| ( X2 = X3 )
| ( k2_tarski(k2_tarski(X0,X1),k2_enumset1(X0,X0,X0,X0)) != sK149(X2) ) ),
inference(cnf_transformation,[],[f14377]) ).
tcf(c_796,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( X2 = X5 )
| ~ r2_hidden(k2_tarski(k2_tarski(sK151(X2,X5),sK152(X2,X5)),k2_enumset1(sK151(X2,X5),sK151(X2,X5),sK151(X2,X5),sK151(X2,X5))),X5)
| ~ r2_hidden(k2_tarski(k2_tarski(sK151(X2,X5),sK152(X2,X5)),k2_enumset1(sK151(X2,X5),sK151(X2,X5),sK151(X2,X5),sK151(X2,X5))),X2)
| ( k2_tarski(k2_tarski(X3,X4),k2_enumset1(X3,X3,X3,X3)) != sK150(X5) )
| ( k2_tarski(k2_tarski(X0,X1),k2_enumset1(X0,X0,X0,X0)) != sK149(X2) ) ),
inference(cnf_transformation,[],[f14378]) ).
tcf(c_797,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( r2_hidden(k2_tarski(k2_tarski(sK151(X2,X5),sK152(X2,X5)),k2_enumset1(sK151(X2,X5),sK151(X2,X5),sK151(X2,X5),sK151(X2,X5))),X5)
| r2_hidden(k2_tarski(k2_tarski(sK151(X2,X5),sK152(X2,X5)),k2_enumset1(sK151(X2,X5),sK151(X2,X5),sK151(X2,X5),sK151(X2,X5))),X2)
| ( X2 = X5 )
| ( k2_tarski(k2_tarski(X3,X4),k2_enumset1(X3,X3,X3,X3)) != sK150(X5) )
| ( k2_tarski(k2_tarski(X0,X1),k2_enumset1(X0,X0,X0,X0)) != sK149(X2) ) ),
inference(cnf_transformation,[],[f14379]) ).
tcf(c_798,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,X1)
| r2_hidden(sK153(X0),X0)
| ~ r2_hidden(k2_tarski(k2_tarski(sK154(X0,X1),sK155(X0,X1)),k2_enumset1(sK154(X0,X1),sK154(X0,X1),sK154(X0,X1),sK154(X0,X1))),X1) ),
inference(cnf_transformation,[],[f14380]) ).
tcf(c_799,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,X1)
| r2_hidden(sK153(X0),X0)
| r2_hidden(k2_tarski(k2_tarski(sK154(X0,X1),sK155(X0,X1)),k2_enumset1(sK154(X0,X1),sK154(X0,X1),sK154(X0,X1),sK154(X0,X1))),X0) ),
inference(cnf_transformation,[],[f14381]) ).
tcf(c_800,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_tarski(X2,X3)
| ~ r2_hidden(k2_tarski(k2_tarski(sK154(X2,X3),sK155(X2,X3)),k2_enumset1(sK154(X2,X3),sK154(X2,X3),sK154(X2,X3),sK154(X2,X3))),X3)
| ( k2_tarski(k2_tarski(X0,X1),k2_enumset1(X0,X0,X0,X0)) != sK153(X2) ) ),
inference(cnf_transformation,[],[f14382]) ).
tcf(c_801,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_tarski(X2,X3)
| r2_hidden(k2_tarski(k2_tarski(sK154(X2,X3),sK155(X2,X3)),k2_enumset1(sK154(X2,X3),sK154(X2,X3),sK154(X2,X3),sK154(X2,X3))),X2)
| ( k2_tarski(k2_tarski(X0,X1),k2_enumset1(X0,X0,X0,X0)) != sK153(X2) ) ),
inference(cnf_transformation,[],[f14383]) ).
tcf(c_802,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( X0 = X1 )
| ~ r1_tarski(X1,k2_zfmisc_1(X4,X5))
| ~ r1_tarski(X0,k2_zfmisc_1(X2,X3))
| ~ r2_hidden(k2_tarski(k2_tarski(sK156(X0,X1),sK157(X0,X1)),k2_enumset1(sK156(X0,X1),sK156(X0,X1),sK156(X0,X1),sK156(X0,X1))),X1)
| ~ r2_hidden(k2_tarski(k2_tarski(sK156(X0,X1),sK157(X0,X1)),k2_enumset1(sK156(X0,X1),sK156(X0,X1),sK156(X0,X1),sK156(X0,X1))),X0) ),
inference(cnf_transformation,[],[f14384]) ).
tcf(c_803,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( r2_hidden(k2_tarski(k2_tarski(sK156(X0,X3),sK157(X0,X3)),k2_enumset1(sK156(X0,X3),sK156(X0,X3),sK156(X0,X3),sK156(X0,X3))),X3)
| r2_hidden(k2_tarski(k2_tarski(sK156(X0,X3),sK157(X0,X3)),k2_enumset1(sK156(X0,X3),sK156(X0,X3),sK156(X0,X3),sK156(X0,X3))),X0)
| ( X0 = X3 )
| ~ r1_tarski(X3,k2_zfmisc_1(X4,X5))
| ~ r1_tarski(X0,k2_zfmisc_1(X1,X2)) ),
inference(cnf_transformation,[],[f14385]) ).
tcf(c_804,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_tarski(X0,X1)
| ~ r1_tarski(X0,k2_zfmisc_1(X2,X3))
| ~ r2_hidden(k2_tarski(k2_tarski(sK158(X0,X1),sK159(X0,X1)),k2_enumset1(sK158(X0,X1),sK158(X0,X1),sK158(X0,X1),sK158(X0,X1))),X1) ),
inference(cnf_transformation,[],[f14386]) ).
tcf(c_805,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_tarski(X0,X3)
| r2_hidden(k2_tarski(k2_tarski(sK158(X0,X3),sK159(X0,X3)),k2_enumset1(sK158(X0,X3),sK158(X0,X3),sK158(X0,X3),sK158(X0,X3))),X0)
| ~ r1_tarski(X0,k2_zfmisc_1(X1,X2)) ),
inference(cnf_transformation,[],[f14387]) ).
tcf(c_806,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( k2_zfmisc_1(X0,X1) = k2_zfmisc_1(X2,X3) )
| ~ r2_hidden(k2_tarski(k2_tarski(sK160(X0,X1,X2,X3),sK161(X0,X1,X2,X3)),k2_enumset1(sK160(X0,X1,X2,X3),sK160(X0,X1,X2,X3),sK160(X0,X1,X2,X3),sK160(X0,X1,X2,X3))),k2_zfmisc_1(X2,X3))
| ~ r2_hidden(k2_tarski(k2_tarski(sK160(X0,X1,X2,X3),sK161(X0,X1,X2,X3)),k2_enumset1(sK160(X0,X1,X2,X3),sK160(X0,X1,X2,X3),sK160(X0,X1,X2,X3),sK160(X0,X1,X2,X3))),k2_zfmisc_1(X0,X1)) ),
inference(cnf_transformation,[],[f14388]) ).
tcf(c_807,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r2_hidden(k2_tarski(k2_tarski(sK160(X0,X1,X2,X3),sK161(X0,X1,X2,X3)),k2_enumset1(sK160(X0,X1,X2,X3),sK160(X0,X1,X2,X3),sK160(X0,X1,X2,X3),sK160(X0,X1,X2,X3))),k2_zfmisc_1(X2,X3))
| r2_hidden(k2_tarski(k2_tarski(sK160(X0,X1,X2,X3),sK161(X0,X1,X2,X3)),k2_enumset1(sK160(X0,X1,X2,X3),sK160(X0,X1,X2,X3),sK160(X0,X1,X2,X3),sK160(X0,X1,X2,X3))),k2_zfmisc_1(X0,X1))
| ( k2_zfmisc_1(X0,X1) = k2_zfmisc_1(X2,X3) ) ),
inference(cnf_transformation,[],[f14389]) ).
tcf(c_808,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r2_hidden(k2_tarski(k2_tarski(X1,X0),k2_enumset1(X1,X1,X1,X1)),k2_zfmisc_1(X3,X2))
| ~ r2_hidden(k2_tarski(k2_tarski(X0,X1),k2_enumset1(X0,X0,X0,X0)),k2_zfmisc_1(X2,X3)) ),
inference(cnf_transformation,[],[f14390]) ).
tcf(c_809,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r2_hidden(k2_tarski(k2_tarski(X0,X2),k2_enumset1(X0,X0,X0,X0)),k2_zfmisc_1(X1,X3))
| ~ r2_hidden(X2,X3)
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f14391]) ).
tcf(c_810,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r2_hidden(X0,X2)
| ~ r2_hidden(k2_tarski(k2_tarski(X0,X1),k2_enumset1(X0,X0,X0,X0)),k2_zfmisc_1(X2,X3)) ),
inference(cnf_transformation,[],[f14392]) ).
tcf(c_811,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r2_hidden(X1,X3)
| ~ r2_hidden(k2_tarski(k2_tarski(X0,X1),k2_enumset1(X0,X0,X0,X0)),k2_zfmisc_1(X2,X3)) ),
inference(cnf_transformation,[],[f14393]) ).
tcf(c_812,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r2_hidden(sK162(X1,X2,X3),X1)
| ~ r2_hidden(X3,X0)
| ~ r1_tarski(X0,k2_zfmisc_1(X1,X2)) ),
inference(cnf_transformation,[],[f11012]) ).
tcf(c_813,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r2_hidden(sK163(X1,X2,X3),X2)
| ~ r2_hidden(X3,X0)
| ~ r1_tarski(X0,k2_zfmisc_1(X1,X2)) ),
inference(cnf_transformation,[],[f11011]) ).
tcf(c_814,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( k2_tarski(k2_tarski(sK162(X1,X2,X3),sK163(X1,X2,X3)),k2_enumset1(sK162(X1,X2,X3),sK162(X1,X2,X3),sK162(X1,X2,X3),sK162(X1,X2,X3))) = X3 )
| ~ r2_hidden(X3,X0)
| ~ r1_tarski(X0,k2_zfmisc_1(X1,X2)) ),
inference(cnf_transformation,[],[f14394]) ).
tcf(c_815,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k2_tarski(k2_tarski(sK164(X0),sK165(X0)),k2_enumset1(sK164(X0),sK164(X0),sK164(X0),sK164(X0))) = X0 )
| ~ r2_hidden(X0,k2_zfmisc_1(X1,X2)) ),
inference(cnf_transformation,[],[f14395]) ).
tcf(c_816,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X0 = X2 )
| ( k2_tarski(k2_tarski(X0,X1),k2_enumset1(X0,X0,X0,X0)) != k2_tarski(k2_tarski(X2,X3),k2_enumset1(X2,X2,X2,X2)) ) ),
inference(cnf_transformation,[],[f14396]) ).
tcf(c_817,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X1 = X3 )
| ( k2_tarski(k2_tarski(X0,X1),k2_enumset1(X0,X0,X0,X0)) != k2_tarski(k2_tarski(X2,X3),k2_enumset1(X2,X2,X2,X2)) ) ),
inference(cnf_transformation,[],[f14397]) ).
tcf(c_818,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( k2_zfmisc_1(X2,X3) = X4 )
| ~ r2_hidden(X1,X3)
| ~ r2_hidden(X0,X2)
| ~ r2_hidden(sK166(X2,X3,X4),X4)
| ( k2_tarski(k2_tarski(X0,X1),k2_enumset1(X0,X0,X0,X0)) != sK166(X2,X3,X4) ) ),
inference(cnf_transformation,[],[f14398]) ).
tcf(c_819,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(sK167(X0,X1,X2),X0)
| r2_hidden(sK166(X0,X1,X2),X2)
| ( k2_zfmisc_1(X0,X1) = X2 ) ),
inference(cnf_transformation,[],[f11022]) ).
tcf(c_820,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(sK168(X0,X1,X2),X1)
| r2_hidden(sK166(X0,X1,X2),X2)
| ( k2_zfmisc_1(X0,X1) = X2 ) ),
inference(cnf_transformation,[],[f11021]) ).
tcf(c_821,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(sK166(X0,X1,X2),X2)
| ( k2_zfmisc_1(X0,X1) = X2 )
| ( k2_tarski(k2_tarski(sK167(X0,X1,X2),sK168(X0,X1,X2)),k2_enumset1(sK167(X0,X1,X2),sK167(X0,X1,X2),sK167(X0,X1,X2),sK167(X0,X1,X2))) = sK166(X0,X1,X2) ) ),
inference(cnf_transformation,[],[f14399]) ).
tcf(c_823,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(sK169(X1,X2,X0),X1)
| ~ r2_hidden(X0,k2_zfmisc_1(X1,X2)) ),
inference(cnf_transformation,[],[f15149]) ).
tcf(c_824,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(sK170(X1,X2,X0),X2)
| ~ r2_hidden(X0,k2_zfmisc_1(X1,X2)) ),
inference(cnf_transformation,[],[f15150]) ).
tcf(c_825,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k2_tarski(k2_tarski(sK169(X1,X2,X0),sK170(X1,X2,X0)),k2_enumset1(sK169(X1,X2,X0),sK169(X1,X2,X0),sK169(X1,X2,X0),sK169(X1,X2,X0))) = X0 )
| ~ r2_hidden(X0,k2_zfmisc_1(X1,X2)) ),
inference(cnf_transformation,[],[f15151]) ).
tcf(c_827,plain,
! [X0: $i,X1: $i,X2: $i] :
( m1_subset_1(X2,X1)
| ~ r2_hidden(X2,X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(X1)) ),
inference(cnf_transformation,[],[f11025]) ).
tcf(c_828,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X2 )
| ~ m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(X0)))
| ~ m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(X0)))
| ~ r2_hidden(sK171(X0,X1,X2),X2)
| ~ r2_hidden(sK171(X0,X1,X2),X1) ),
inference(cnf_transformation,[],[f11028]) ).
tcf(c_829,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(sK171(X1,X0,X2),X2)
| r2_hidden(sK171(X1,X0,X2),X0)
| ( X0 = X2 )
| ~ m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(X1)))
| ~ m1_subset_1(X0,k1_zfmisc_1(k1_zfmisc_1(X1))) ),
inference(cnf_transformation,[],[f11027]) ).
tcf(c_830,plain,
! [X0: $i,X1: $i,X2: $i] :
( m1_subset_1(sK171(X1,X0,X2),k1_zfmisc_1(X1))
| ( X0 = X2 )
| ~ m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(X1)))
| ~ m1_subset_1(X0,k1_zfmisc_1(k1_zfmisc_1(X1))) ),
inference(cnf_transformation,[],[f11026]) ).
tcf(c_831,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ r2_hidden(sK172(X0,X1),X1) ),
inference(cnf_transformation,[],[f11030]) ).
tcf(c_832,plain,
! [X0: $i,X1: $i] :
( m1_subset_1(sK172(X1,X0),X1)
| ( X0 = X1 )
| ~ m1_subset_1(X0,k1_zfmisc_1(X1)) ),
inference(cnf_transformation,[],[f11029]) ).
tcf(c_833,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X2 )
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ r2_hidden(sK173(X0,X1,X2),X2)
| ~ r2_hidden(sK173(X0,X1,X2),X1) ),
inference(cnf_transformation,[],[f11033]) ).
tcf(c_834,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(sK173(X1,X0,X2),X2)
| r2_hidden(sK173(X1,X0,X2),X0)
| ( X0 = X2 )
| ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| ~ m1_subset_1(X0,k1_zfmisc_1(X1)) ),
inference(cnf_transformation,[],[f11032]) ).
tcf(c_835,plain,
! [X0: $i,X1: $i,X2: $i] :
( m1_subset_1(sK173(X1,X0,X2),X1)
| ( X0 = X2 )
| ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| ~ m1_subset_1(X0,k1_zfmisc_1(X1)) ),
inference(cnf_transformation,[],[f11031]) ).
tcf(c_836,plain,
l1_group_1(sK174),
inference(cnf_transformation,[],[f11034]) ).
tcf(c_837,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X2)
| v3_struct_0(X1)
| r1_filter_1(X1,X2)
| ~ l3_lattices(X2)
| ~ l3_lattices(X1)
| ~ v10_lattices(X2)
| ~ v10_lattices(X1)
| ~ m1_lattice4(X0,X1,X2)
| ~ v3_lattice4(X0,X1,X2) ),
inference(cnf_transformation,[],[f11037]) ).
tcf(c_838,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| v3_struct_0(X0)
| m1_lattice4(sK175(X0,X1),X0,X1)
| ~ l3_lattices(X1)
| ~ l3_lattices(X0)
| ~ v10_lattices(X1)
| ~ v10_lattices(X0)
| ~ r1_filter_1(X0,X1) ),
inference(cnf_transformation,[],[f11036]) ).
tcf(c_839,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| v3_struct_0(X0)
| v3_lattice4(sK175(X0,X1),X0,X1)
| ~ l3_lattices(X1)
| ~ l3_lattices(X0)
| ~ v10_lattices(X1)
| ~ v10_lattices(X0)
| ~ r1_filter_1(X0,X1) ),
inference(cnf_transformation,[],[f11035]) ).
tcf(c_840,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X2)
| v3_struct_0(X1)
| v3_lattice4(X0,X1,X2)
| ~ l3_lattices(X2)
| ~ l3_lattices(X1)
| ~ v10_lattices(X2)
| ~ v10_lattices(X1)
| ~ v2_lattice4(X0,X1,X2)
| ~ v1_lattice4(X0,X1,X2)
| ~ m1_lattice4(X0,X1,X2) ),
inference(cnf_transformation,[],[f11040]) ).
tcf(c_841,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X2)
| v3_struct_0(X1)
| v1_lattice4(X0,X1,X2)
| ~ l3_lattices(X2)
| ~ l3_lattices(X1)
| ~ v10_lattices(X2)
| ~ v10_lattices(X1)
| ~ m1_lattice4(X0,X1,X2)
| ~ v3_lattice4(X0,X1,X2) ),
inference(cnf_transformation,[],[f11039]) ).
tcf(c_842,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X2)
| v3_struct_0(X1)
| v2_lattice4(X0,X1,X2)
| ~ l3_lattices(X2)
| ~ l3_lattices(X1)
| ~ v10_lattices(X2)
| ~ v10_lattices(X1)
| ~ m1_lattice4(X0,X1,X2)
| ~ v3_lattice4(X0,X1,X2) ),
inference(cnf_transformation,[],[f11038]) ).
tcf(c_843,plain,
! [X0: $i] :
( v3_realset2(X0)
| v3_struct_0(X0)
| ( k13_lopclset(X0) = k8_lopclset(X0) )
| ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0) ),
inference(cnf_transformation,[],[f11041]) ).
tcf(c_844,plain,
! [X0: $i] :
( v3_realset2(X0)
| v3_struct_0(X0)
| ( k1_lopclset(k11_lopclset(X0)) = k10_lopclset(X0) )
| ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0) ),
inference(cnf_transformation,[],[f11042]) ).
tcf(c_845,plain,
! [X0: $i] :
( v3_realset2(X0)
| v3_struct_0(X0)
| r1_tarski(k10_lopclset(X0),k1_lopclset(k11_lopclset(X0)))
| ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0) ),
inference(cnf_transformation,[],[f11043]) ).
tcf(c_846,plain,
! [X0: $i,X1: $i] :
( v3_realset2(X1)
| v3_struct_0(X1)
| v3_pre_topc(X0,k11_lopclset(X1))
| ~ l3_lattices(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| ~ r2_hidden(X0,k10_lopclset(X1))
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(k11_lopclset(X1)))) ),
inference(cnf_transformation,[],[f11044]) ).
tcf(c_847,plain,
! [X0: $i] :
( v3_realset2(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| ~ v3_struct_0(k11_lopclset(X0)) ),
inference(cnf_transformation,[],[f11046]) ).
tcf(c_849,plain,
! [X0: $i] :
( v3_realset2(X0)
| v3_struct_0(X0)
| v2_pre_topc(k11_lopclset(X0))
| ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0) ),
inference(cnf_transformation,[],[f11048]) ).
tcf(c_850,plain,
! [X0: $i] :
( v3_realset2(X0)
| v3_struct_0(X0)
| l1_pre_topc(k11_lopclset(X0))
| ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0) ),
inference(cnf_transformation,[],[f11047]) ).
tcf(c_851,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| v3_struct_0(X0)
| m1_lattice4(sK176(X0,X1),X0,X1)
| ~ l3_lattices(X1)
| ~ l3_lattices(X0)
| ~ v10_lattices(X1)
| ~ v10_lattices(X0) ),
inference(cnf_transformation,[],[f11049]) ).
tcf(c_852,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_funct_1(X0)
| v3_struct_0(X2)
| v3_struct_0(X1)
| ~ l3_lattices(X2)
| ~ l3_lattices(X1)
| ~ v10_lattices(X2)
| ~ v10_lattices(X1)
| ~ m1_lattice4(X0,X1,X2) ),
inference(cnf_transformation,[],[f11052]) ).
tcf(c_853,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X2)
| v3_struct_0(X1)
| v1_funct_2(X0,u1_struct_0(X1),u1_struct_0(X2))
| ~ l3_lattices(X2)
| ~ l3_lattices(X1)
| ~ v10_lattices(X2)
| ~ v10_lattices(X1)
| ~ m1_lattice4(X0,X1,X2) ),
inference(cnf_transformation,[],[f11051]) ).
tcf(c_854,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X2)
| v3_struct_0(X1)
| m2_relset_1(X0,u1_struct_0(X1),u1_struct_0(X2))
| ~ l3_lattices(X2)
| ~ l3_lattices(X1)
| ~ v10_lattices(X2)
| ~ v10_lattices(X1)
| ~ m1_lattice4(X0,X1,X2) ),
inference(cnf_transformation,[],[f11050]) ).
tcf(c_855,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( v3_struct_0(X2)
| v3_struct_0(X1)
| r3_lattices(X2,k4_lattices(X2,k8_funct_2(u1_struct_0(X1),u1_struct_0(X2),X0,X3),k8_funct_2(u1_struct_0(X1),u1_struct_0(X2),X0,k4_filter_0(X1,X3,X4))),k8_funct_2(u1_struct_0(X1),u1_struct_0(X2),X0,X4))
| ~ v16_lattices(X2)
| ~ v3_filter_0(X1)
| ~ v15_lattices(X2)
| ~ l3_lattices(X2)
| ~ l3_lattices(X1)
| ~ v10_lattices(X2)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X4,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_lattice4(X0,X1,X2) ),
inference(cnf_transformation,[],[f11053]) ).
tcf(c_856,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( v3_struct_0(X2)
| v3_struct_0(X1)
| r3_lattices(X2,k8_funct_2(u1_struct_0(X1),u1_struct_0(X2),X0,X3),k8_funct_2(u1_struct_0(X1),u1_struct_0(X2),X0,X4))
| ~ l3_lattices(X2)
| ~ l3_lattices(X1)
| ~ v10_lattices(X2)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X4,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ r3_lattices(X1,X3,X4)
| ~ m1_lattice4(X0,X1,X2) ),
inference(cnf_transformation,[],[f11054]) ).
tcf(c_857,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X1)
| v3_struct_0(X0)
| m1_lattice4(X2,X1,X0)
| ~ v1_funct_1(X2)
| ~ l3_lattices(X1)
| ~ l3_lattices(X0)
| ~ v10_lattices(X1)
| ~ v10_lattices(X0)
| ~ m2_relset_1(X2,u1_struct_0(X1),u1_struct_0(X0))
| ~ v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X0))
| ( k3_lattices(X0,k8_funct_2(u1_struct_0(X1),u1_struct_0(X0),X2,sK177(X1,X0,X2)),k8_funct_2(u1_struct_0(X1),u1_struct_0(X0),X2,sK178(X1,X0,X2))) != k8_funct_2(u1_struct_0(X1),u1_struct_0(X0),X2,k3_lattices(X1,sK177(X1,X0,X2),sK178(X1,X0,X2))) )
| ( k4_lattices(X0,k8_funct_2(u1_struct_0(X1),u1_struct_0(X0),X2,sK177(X1,X0,X2)),k8_funct_2(u1_struct_0(X1),u1_struct_0(X0),X2,sK178(X1,X0,X2))) != k8_funct_2(u1_struct_0(X1),u1_struct_0(X0),X2,k4_lattices(X1,sK177(X1,X0,X2),sK178(X1,X0,X2))) ) ),
inference(cnf_transformation,[],[f11059]) ).
tcf(c_858,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X2)
| v3_struct_0(X1)
| m1_lattice4(X0,X1,X2)
| m1_subset_1(sK178(X1,X2,X0),u1_struct_0(X1))
| ~ v1_funct_1(X0)
| ~ l3_lattices(X2)
| ~ l3_lattices(X1)
| ~ v10_lattices(X2)
| ~ v10_lattices(X1)
| ~ m2_relset_1(X0,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_2(X0,u1_struct_0(X1),u1_struct_0(X2)) ),
inference(cnf_transformation,[],[f11058]) ).
tcf(c_859,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X2)
| v3_struct_0(X1)
| m1_lattice4(X0,X1,X2)
| m1_subset_1(sK177(X1,X2,X0),u1_struct_0(X1))
| ~ v1_funct_1(X0)
| ~ l3_lattices(X2)
| ~ l3_lattices(X1)
| ~ v10_lattices(X2)
| ~ v10_lattices(X1)
| ~ m2_relset_1(X0,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_2(X0,u1_struct_0(X1),u1_struct_0(X2)) ),
inference(cnf_transformation,[],[f11057]) ).
tcf(c_860,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( v3_struct_0(X2)
| v3_struct_0(X1)
| ( k3_lattices(X2,k8_funct_2(u1_struct_0(X1),u1_struct_0(X2),X0,X3),k8_funct_2(u1_struct_0(X1),u1_struct_0(X2),X0,X4)) = k8_funct_2(u1_struct_0(X1),u1_struct_0(X2),X0,k3_lattices(X1,X3,X4)) )
| ~ v1_funct_1(X0)
| ~ l3_lattices(X2)
| ~ l3_lattices(X1)
| ~ v10_lattices(X2)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X4,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_lattice4(X0,X1,X2)
| ~ m2_relset_1(X0,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_2(X0,u1_struct_0(X1),u1_struct_0(X2)) ),
inference(cnf_transformation,[],[f11056]) ).
tcf(c_861,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( v3_struct_0(X2)
| v3_struct_0(X1)
| ( k4_lattices(X2,k8_funct_2(u1_struct_0(X1),u1_struct_0(X2),X0,X3),k8_funct_2(u1_struct_0(X1),u1_struct_0(X2),X0,X4)) = k8_funct_2(u1_struct_0(X1),u1_struct_0(X2),X0,k4_lattices(X1,X3,X4)) )
| ~ v1_funct_1(X0)
| ~ l3_lattices(X2)
| ~ l3_lattices(X1)
| ~ v10_lattices(X2)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X4,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_lattice4(X0,X1,X2)
| ~ m2_relset_1(X0,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_2(X0,u1_struct_0(X1),u1_struct_0(X2)) ),
inference(cnf_transformation,[],[f11055]) ).
tcf(c_862,plain,
! [X0: $i] :
( v3_struct_0(X0)
| m1_filter_0(sK179(X0),X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0) ),
inference(cnf_transformation,[],[f11060]) ).
tcf(c_863,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| ~ v1_xboole_0(X0)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_filter_0(X0,X1) ),
inference(cnf_transformation,[],[f11062]) ).
tcf(c_864,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1)))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_filter_0(X0,X1) ),
inference(cnf_transformation,[],[f11061]) ).
tcf(c_865,plain,
! [X0: $i] :
( v3_struct_0(X0)
| m1_filter_0(u1_struct_0(X0),X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0) ),
inference(cnf_transformation,[],[f11063]) ).
tcf(c_866,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| m1_subset_1(sK180(X1,X0),u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_filter_0(X0,X1) ),
inference(cnf_transformation,[],[f11065]) ).
tcf(c_867,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| r2_hidden(sK180(X1,X0),X0)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_filter_0(X0,X1) ),
inference(cnf_transformation,[],[f11064]) ).
tcf(c_868,plain,
! [X0: $i] :
( v14_lattices(X0)
| v3_struct_0(X0)
| ~ v3_filter_0(X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0) ),
inference(cnf_transformation,[],[f11066]) ).
tcf(c_869,plain,
! [X0: $i,X1: $i] :
( sP10(X0,X1)
| v3_struct_0(k8_filter_1(X0,X1))
| ~ sP11(X1,X0)
| ~ v16_lattices(k8_filter_1(X0,X1))
| ~ v15_lattices(k8_filter_1(X0,X1))
| ~ l3_lattices(k8_filter_1(X0,X1))
| ~ v10_lattices(k8_filter_1(X0,X1)) ),
inference(cnf_transformation,[],[f11072]) ).
tcf(c_870,plain,
! [X0: $i,X1: $i] :
( ~ sP11(X1,X0)
| ~ sP10(X0,X1)
| ~ v3_struct_0(k8_filter_1(X0,X1)) ),
inference(cnf_transformation,[],[f11071]) ).
tcf(c_871,plain,
! [X0: $i,X1: $i] :
( v10_lattices(k8_filter_1(X0,X1))
| ~ sP11(X1,X0)
| ~ sP10(X0,X1) ),
inference(cnf_transformation,[],[f11070]) ).
tcf(c_872,plain,
! [X0: $i,X1: $i] :
( v15_lattices(k8_filter_1(X0,X1))
| ~ sP11(X1,X0)
| ~ sP10(X0,X1) ),
inference(cnf_transformation,[],[f11069]) ).
tcf(c_873,plain,
! [X0: $i,X1: $i] :
( v16_lattices(k8_filter_1(X0,X1))
| ~ sP11(X1,X0)
| ~ sP10(X0,X1) ),
inference(cnf_transformation,[],[f11068]) ).
tcf(c_874,plain,
! [X0: $i,X1: $i] :
( l3_lattices(k8_filter_1(X0,X1))
| ~ sP11(X1,X0)
| ~ sP10(X0,X1) ),
inference(cnf_transformation,[],[f11067]) ).
tcf(c_886,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| v3_struct_0(X0)
| sP11(X1,X0)
| ~ l3_lattices(X1)
| ~ l3_lattices(X0)
| ~ v10_lattices(X1)
| ~ v10_lattices(X0) ),
inference(cnf_transformation,[],[f11084]) ).
tcf(c_898,plain,
! [X0: $i] :
( sP12(X0)
| v3_struct_0(X0)
| ~ v6_group_1(X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0) ),
inference(cnf_transformation,[],[f11096]) ).
tcf(c_906,plain,
l3_lattices(sK181),
inference(cnf_transformation,[],[f11119]) ).
tcf(c_907,plain,
~ v3_struct_0(sK181),
inference(cnf_transformation,[],[f11118]) ).
tcf(c_908,plain,
v3_lattices(sK181),
inference(cnf_transformation,[],[f11117]) ).
tcf(c_909,plain,
v4_lattices(sK181),
inference(cnf_transformation,[],[f11116]) ).
tcf(c_910,plain,
v5_lattices(sK181),
inference(cnf_transformation,[],[f11115]) ).
tcf(c_911,plain,
v6_lattices(sK181),
inference(cnf_transformation,[],[f11114]) ).
tcf(c_912,plain,
v7_lattices(sK181),
inference(cnf_transformation,[],[f11113]) ).
tcf(c_913,plain,
v8_lattices(sK181),
inference(cnf_transformation,[],[f11112]) ).
tcf(c_914,plain,
v9_lattices(sK181),
inference(cnf_transformation,[],[f11111]) ).
tcf(c_915,plain,
v10_lattices(sK181),
inference(cnf_transformation,[],[f11110]) ).
tcf(c_916,plain,
v11_lattices(sK181),
inference(cnf_transformation,[],[f11109]) ).
tcf(c_917,plain,
v13_lattices(sK181),
inference(cnf_transformation,[],[f11108]) ).
tcf(c_918,plain,
v14_lattices(sK181),
inference(cnf_transformation,[],[f11107]) ).
tcf(c_919,plain,
v15_lattices(sK181),
inference(cnf_transformation,[],[f11106]) ).
tcf(c_920,plain,
v16_lattices(sK181),
inference(cnf_transformation,[],[f11105]) ).
tcf(c_921,plain,
v17_lattices(sK181),
inference(cnf_transformation,[],[f11104]) ).
tcf(c_922,plain,
! [X0: $i] :
( v17_lattices(X0)
| v3_struct_0(X0)
| ~ v16_lattices(X0)
| ~ v11_lattices(X0)
| ~ v15_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f11120]) ).
tcf(c_923,plain,
! [X0: $i] :
( v11_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0)
| ~ v17_lattices(X0) ),
inference(cnf_transformation,[],[f11126]) ).
tcf(c_924,plain,
! [X0: $i] :
( v13_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0)
| ~ v17_lattices(X0) ),
inference(cnf_transformation,[],[f11125]) ).
tcf(c_925,plain,
! [X0: $i] :
( v14_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0)
| ~ v17_lattices(X0) ),
inference(cnf_transformation,[],[f11124]) ).
tcf(c_926,plain,
! [X0: $i] :
( v15_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0)
| ~ v17_lattices(X0) ),
inference(cnf_transformation,[],[f11123]) ).
tcf(c_927,plain,
! [X0: $i] :
( v16_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0)
| ~ v17_lattices(X0) ),
inference(cnf_transformation,[],[f11122]) ).
tcf(c_928,plain,
l3_lattices(sK182),
inference(cnf_transformation,[],[f11141]) ).
tcf(c_929,plain,
~ v3_struct_0(sK182),
inference(cnf_transformation,[],[f11140]) ).
tcf(c_930,plain,
v3_lattices(sK182),
inference(cnf_transformation,[],[f11139]) ).
tcf(c_931,plain,
v4_lattices(sK182),
inference(cnf_transformation,[],[f11138]) ).
tcf(c_932,plain,
v5_lattices(sK182),
inference(cnf_transformation,[],[f11137]) ).
tcf(c_933,plain,
v6_lattices(sK182),
inference(cnf_transformation,[],[f11136]) ).
tcf(c_934,plain,
v7_lattices(sK182),
inference(cnf_transformation,[],[f11135]) ).
tcf(c_935,plain,
v8_lattices(sK182),
inference(cnf_transformation,[],[f11134]) ).
tcf(c_936,plain,
v9_lattices(sK182),
inference(cnf_transformation,[],[f11133]) ).
tcf(c_937,plain,
v10_lattices(sK182),
inference(cnf_transformation,[],[f11132]) ).
tcf(c_938,plain,
v13_lattices(sK182),
inference(cnf_transformation,[],[f11131]) ).
tcf(c_939,plain,
v14_lattices(sK182),
inference(cnf_transformation,[],[f11130]) ).
tcf(c_940,plain,
v15_lattices(sK182),
inference(cnf_transformation,[],[f11129]) ).
tcf(c_941,plain,
v16_lattices(sK182),
inference(cnf_transformation,[],[f11128]) ).
tcf(c_942,plain,
l3_lattices(sK183),
inference(cnf_transformation,[],[f11154]) ).
tcf(c_943,plain,
~ v3_struct_0(sK183),
inference(cnf_transformation,[],[f11153]) ).
tcf(c_944,plain,
v3_lattices(sK183),
inference(cnf_transformation,[],[f11152]) ).
tcf(c_945,plain,
v4_lattices(sK183),
inference(cnf_transformation,[],[f11151]) ).
tcf(c_946,plain,
v5_lattices(sK183),
inference(cnf_transformation,[],[f11150]) ).
tcf(c_947,plain,
v6_lattices(sK183),
inference(cnf_transformation,[],[f11149]) ).
tcf(c_948,plain,
v7_lattices(sK183),
inference(cnf_transformation,[],[f11148]) ).
tcf(c_949,plain,
v8_lattices(sK183),
inference(cnf_transformation,[],[f11147]) ).
tcf(c_950,plain,
v9_lattices(sK183),
inference(cnf_transformation,[],[f11146]) ).
tcf(c_951,plain,
v10_lattices(sK183),
inference(cnf_transformation,[],[f11145]) ).
tcf(c_952,plain,
v13_lattices(sK183),
inference(cnf_transformation,[],[f11144]) ).
tcf(c_953,plain,
v14_lattices(sK183),
inference(cnf_transformation,[],[f11143]) ).
tcf(c_954,plain,
v15_lattices(sK183),
inference(cnf_transformation,[],[f11142]) ).
tcf(c_955,plain,
! [X0: $i] :
( v13_lattices(X0)
| v3_struct_0(X0)
| ~ v15_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f11156]) ).
tcf(c_956,plain,
! [X0: $i] :
( v14_lattices(X0)
| v3_struct_0(X0)
| ~ v15_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f11155]) ).
tcf(c_957,plain,
! [X0: $i] :
( v15_lattices(X0)
| v3_struct_0(X0)
| ~ v13_lattices(X0)
| ~ v14_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f11158]) ).
tcf(c_958,plain,
! [X0: $i] :
( v3_struct_0(X0)
| ( k7_lattices(X0,k5_lattices(X0)) = k6_lattices(X0) )
| ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0) ),
inference(cnf_transformation,[],[f11160]) ).
tcf(c_959,plain,
! [X0: $i] :
( v3_struct_0(X0)
| ( k7_lattices(X0,k6_lattices(X0)) = k5_lattices(X0) )
| ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0) ),
inference(cnf_transformation,[],[f11161]) ).
tcf(c_960,plain,
! [X0: $i] :
( v3_struct_0(X0)
| ( k3_binop_1(u1_struct_0(X0),u1_lattices(X0)) = k6_lattices(X0) )
| ~ v14_lattices(X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0) ),
inference(cnf_transformation,[],[f11162]) ).
tcf(c_961,plain,
! [X0: $i] :
( v3_struct_0(X0)
| r3_binop_1(u1_struct_0(X0),k6_lattices(X0),u1_lattices(X0))
| ~ v14_lattices(X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0) ),
inference(cnf_transformation,[],[f11163]) ).
tcf(c_962,plain,
! [X0: $i] :
( v3_struct_0(X0)
| ( k3_binop_1(u1_struct_0(X0),u1_lattices(X0)) = k6_lattices(X0) )
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| ~ v1_setwiseo(u1_lattices(X0),u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f11164]) ).
tcf(c_963,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X0)
| ( k6_lattices(X0) = X1 )
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ( k2_binop_1(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),u1_lattices(X0),X1,sK184(X0,X1)) != sK184(X0,X1) ) ),
inference(cnf_transformation,[],[f11166]) ).
tcf(c_964,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| m1_subset_1(sK184(X1,X0),u1_struct_0(X1))
| ( k6_lattices(X1) = X0 )
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f11165]) ).
tcf(c_965,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X0)
| ( k6_lattices(X0) = X1 )
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ( k4_lattices(X0,X1,sK185(X0,X1)) != sK185(X0,X1) ) ),
inference(cnf_transformation,[],[f11168]) ).
tcf(c_966,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| m1_subset_1(sK185(X1,X0),u1_struct_0(X1))
| ( k6_lattices(X1) = X0 )
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f11167]) ).
tcf(c_967,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| ( k4_filter_0(X1,X0,X0) = k6_lattices(X1) )
| ~ v3_filter_0(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f11169]) ).
tcf(c_968,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| r2_hidden(k6_lattices(X1),X0)
| ~ v14_lattices(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_filter_0(X0,X1) ),
inference(cnf_transformation,[],[f15381]) ).
tcf(c_969,plain,
! [X0: $i] :
( v3_struct_0(X0)
| m1_subset_1(k6_lattices(X0),u1_struct_0(X0))
| ~ l2_lattices(X0) ),
inference(cnf_transformation,[],[f11171]) ).
tcf(c_970,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| ( k3_lattices(X1,k7_lattices(X1,X0),X0) = k6_lattices(X1) )
| ~ l3_lattices(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f11172]) ).
tcf(c_971,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| r3_lattices(X1,X0,k6_lattices(X1))
| ~ v14_lattices(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f11173]) ).
tcf(c_972,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| ( k3_lattices(X1,k6_lattices(X1),X0) = k6_lattices(X1) )
| ~ v14_lattices(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f11174]) ).
tcf(c_973,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| ( k4_lattices(X1,k6_lattices(X1),X0) = X0 )
| ~ v14_lattices(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f11175]) ).
tcf(c_974,plain,
! [X0: $i] :
( v3_struct_0(X0)
| ( k3_binop_1(u1_struct_0(X0),u2_lattices(X0)) = k5_lattices(X0) )
| ~ v13_lattices(X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0) ),
inference(cnf_transformation,[],[f11176]) ).
tcf(c_975,plain,
! [X0: $i] :
( v3_struct_0(X0)
| ( k3_binop_1(u1_struct_0(X0),u2_lattices(X0)) = k5_lattices(X0) )
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| ~ v1_setwiseo(u2_lattices(X0),u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f11177]) ).
tcf(c_976,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X0)
| ( k5_lattices(X0) = X1 )
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ( k2_binop_1(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),u2_lattices(X0),X1,sK186(X0,X1)) != sK186(X0,X1) ) ),
inference(cnf_transformation,[],[f11179]) ).
tcf(c_977,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| m1_subset_1(sK186(X1,X0),u1_struct_0(X1))
| ( k5_lattices(X1) = X0 )
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f11178]) ).
tcf(c_978,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X0)
| r3_lattices(X0,X1,X2)
| ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ( k4_lattices(X0,X1,k7_lattices(X0,X2)) != k5_lattices(X0) ) ),
inference(cnf_transformation,[],[f11181]) ).
tcf(c_979,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X0)
| ( k4_lattices(X0,X1,k7_lattices(X0,X2)) = k5_lattices(X0) )
| ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ r3_lattices(X0,X1,X2) ),
inference(cnf_transformation,[],[f11180]) ).
tcf(c_980,plain,
! [X0: $i] :
( v3_struct_0(X0)
| m1_subset_1(k5_lattices(X0),u1_struct_0(X0))
| ~ l1_lattices(X0) ),
inference(cnf_transformation,[],[f11182]) ).
tcf(c_981,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X0)
| ( k4_lattices(X0,X1,X2) = k5_lattices(X0) )
| ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ r3_lattices(X0,X1,k7_lattices(X0,X2)) ),
inference(cnf_transformation,[],[f11184]) ).
tcf(c_982,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X0)
| r3_lattices(X0,X1,k7_lattices(X0,X2))
| ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ( k4_lattices(X0,X1,X2) != k5_lattices(X0) ) ),
inference(cnf_transformation,[],[f11183]) ).
tcf(c_983,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| ( k4_lattices(X1,k7_lattices(X1,X0),X0) = k5_lattices(X1) )
| ~ l3_lattices(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f11185]) ).
tcf(c_984,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| r3_lattices(X1,k5_lattices(X1),X0)
| ~ v13_lattices(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f11186]) ).
tcf(c_985,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| ( k4_lattices(X1,k5_lattices(X1),X0) = k5_lattices(X1) )
| ~ v13_lattices(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f11187]) ).
tcf(c_986,plain,
! [X0: $i] :
( v3_filter_0(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0) ),
inference(cnf_transformation,[],[f11188]) ).
tcf(c_987,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( v1_xboole_0(X2)
| v3_struct_0(X0)
| ( k4_lattices(X0,X1,k2_lattice2(X2,X0,X4,X3)) = k2_lattice2(X2,X0,X4,X5) )
| ~ v11_lattices(X0)
| ~ v13_lattices(X0)
| ~ v1_funct_1(X5)
| ~ v1_funct_1(X3)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| ~ m1_subset_1(X4,k5_finsub_1(X2))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m2_relset_1(X5,X2,u1_struct_0(X0))
| ~ m2_relset_1(X3,X2,u1_struct_0(X0))
| ~ v1_funct_2(X5,X2,u1_struct_0(X0))
| ~ v1_funct_2(X3,X2,u1_struct_0(X0))
| ( k4_lattices(X0,X1,k8_funct_2(X2,u1_struct_0(X0),X3,sK187(X2,X4,X0,X5,X3,X1))) != k8_funct_2(X2,u1_struct_0(X0),X5,sK187(X2,X4,X0,X5,X3,X1)) ) ),
inference(cnf_transformation,[],[f11191]) ).
tcf(c_988,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( v1_xboole_0(X1)
| v3_struct_0(X2)
| r2_hidden(sK187(X1,X4,X2,X0,X3,X5),X4)
| ( k4_lattices(X2,X5,k2_lattice2(X1,X2,X4,X3)) = k2_lattice2(X1,X2,X4,X0) )
| ~ v11_lattices(X2)
| ~ v13_lattices(X2)
| ~ v1_funct_1(X3)
| ~ v1_funct_1(X0)
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| ~ m1_subset_1(X5,u1_struct_0(X2))
| ~ m1_subset_1(X4,k5_finsub_1(X1))
| ~ m2_relset_1(X3,X1,u1_struct_0(X2))
| ~ m2_relset_1(X0,X1,u1_struct_0(X2))
| ~ v1_funct_2(X3,X1,u1_struct_0(X2))
| ~ v1_funct_2(X0,X1,u1_struct_0(X2)) ),
inference(cnf_transformation,[],[f11190]) ).
tcf(c_989,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( v1_xboole_0(X1)
| v3_struct_0(X2)
| m1_subset_1(sK187(X1,X4,X2,X0,X3,X5),X1)
| ( k4_lattices(X2,X5,k2_lattice2(X1,X2,X4,X3)) = k2_lattice2(X1,X2,X4,X0) )
| ~ v11_lattices(X2)
| ~ v13_lattices(X2)
| ~ v1_funct_1(X3)
| ~ v1_funct_1(X0)
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| ~ m1_subset_1(X5,u1_struct_0(X2))
| ~ m1_subset_1(X4,k5_finsub_1(X1))
| ~ m2_relset_1(X3,X1,u1_struct_0(X2))
| ~ m2_relset_1(X0,X1,u1_struct_0(X2))
| ~ v1_funct_2(X3,X1,u1_struct_0(X2))
| ~ v1_funct_2(X0,X1,u1_struct_0(X2)) ),
inference(cnf_transformation,[],[f11189]) ).
tcf(c_990,plain,
! [X0: $i] :
( v11_lattices(X0)
| v3_struct_0(X0)
| ~ v3_filter_0(X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0) ),
inference(cnf_transformation,[],[f11192]) ).
tcf(c_991,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v3_struct_0(X1)
| ( k4_lattices(X1,k4_lattices(X1,k3_lattices(X1,X0,X2),k3_lattices(X1,X2,X3)),k3_lattices(X1,X3,X0)) = k3_lattices(X1,k3_lattices(X1,k4_lattices(X1,X0,X2),k4_lattices(X1,X2,X3)),k4_lattices(X1,X3,X0)) )
| ~ v11_lattices(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f11193]) ).
tcf(c_992,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v3_struct_0(X0)
| ( X2 = X3 )
| ~ v11_lattices(X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| ~ m1_subset_1(X3,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ( k3_lattices(X0,X1,X2) != k3_lattices(X0,X1,X3) )
| ( k4_lattices(X0,X1,X2) != k4_lattices(X0,X1,X3) ) ),
inference(cnf_transformation,[],[f11194]) ).
tcf(c_993,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v3_struct_0(X1)
| ( k4_lattices(X1,k3_lattices(X1,X0,X2),k3_lattices(X1,X0,X3)) = k3_lattices(X1,X0,k4_lattices(X1,X2,X3)) )
| ~ v11_lattices(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f11195]) ).
tcf(c_994,plain,
! [X0: $i] :
( v11_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| ( k4_lattices(X0,k4_lattices(X0,k3_lattices(X0,sK188(X0),sK189(X0)),k3_lattices(X0,sK189(X0),sK190(X0))),k3_lattices(X0,sK190(X0),sK188(X0))) != k3_lattices(X0,k3_lattices(X0,k4_lattices(X0,sK188(X0),sK189(X0)),k4_lattices(X0,sK189(X0),sK190(X0))),k4_lattices(X0,sK190(X0),sK188(X0))) ) ),
inference(cnf_transformation,[],[f11199]) ).
tcf(c_995,plain,
! [X0: $i] :
( v11_lattices(X0)
| v3_struct_0(X0)
| m1_subset_1(sK190(X0),u1_struct_0(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0) ),
inference(cnf_transformation,[],[f11198]) ).
tcf(c_996,plain,
! [X0: $i] :
( v11_lattices(X0)
| v3_struct_0(X0)
| m1_subset_1(sK189(X0),u1_struct_0(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0) ),
inference(cnf_transformation,[],[f11197]) ).
tcf(c_997,plain,
! [X0: $i] :
( v11_lattices(X0)
| v3_struct_0(X0)
| m1_subset_1(sK188(X0),u1_struct_0(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0) ),
inference(cnf_transformation,[],[f11196]) ).
tcf(c_998,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_realset1(X1)
| v1_funct_1(k1_realset1(X0,k4_xboole_0(X1,k2_enumset1(X2,X2,X2,X2))))
| ~ m1_subset_1(X2,X1)
| ~ m3_realset1(X0,X1,X2) ),
inference(cnf_transformation,[],[f14403]) ).
tcf(c_999,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_realset1(X1)
| v1_funct_2(k1_realset1(X0,k4_xboole_0(X1,k2_enumset1(X2,X2,X2,X2))),k2_zfmisc_1(k4_xboole_0(X1,k2_enumset1(X2,X2,X2,X2)),k4_xboole_0(X1,k2_enumset1(X2,X2,X2,X2))),k4_xboole_0(X1,k2_enumset1(X2,X2,X2,X2)))
| ~ m1_subset_1(X2,X1)
| ~ m3_realset1(X0,X1,X2) ),
inference(cnf_transformation,[],[f14404]) ).
tcf(c_1000,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_realset1(X1)
| m2_relset_1(k1_realset1(X0,k4_xboole_0(X1,k2_enumset1(X2,X2,X2,X2))),k2_zfmisc_1(k4_xboole_0(X1,k2_enumset1(X2,X2,X2,X2)),k4_xboole_0(X1,k2_enumset1(X2,X2,X2,X2))),k4_xboole_0(X1,k2_enumset1(X2,X2,X2,X2)))
| ~ m1_subset_1(X2,X1)
| ~ m3_realset1(X0,X1,X2) ),
inference(cnf_transformation,[],[f14405]) ).
tcf(c_1001,plain,
! [X0: $i,X1: $i] :
( ( k7_relat_1(X0,k2_zfmisc_1(X1,X1)) = k1_realset1(X0,X1) )
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f11203]) ).
tcf(c_1003,plain,
! [X0: $i,X1: $i] :
( v1_funct_1(k1_realset1(X0,X1))
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0) ),
inference(cnf_transformation,[],[f11204]) ).
tcf(c_1004,plain,
! [X0: $i,X1: $i] :
( v1_relat_1(k1_realset1(X0,X1))
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f11206]) ).
tcf(c_1005,plain,
! [X0: $i] :
( v3_struct_0(X0)
| v1_setwiseo(u2_lattices(X0),u1_struct_0(X0))
| ~ v13_lattices(X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0) ),
inference(cnf_transformation,[],[f11207]) ).
tcf(c_1008,plain,
! [X0: $i] :
( v3_struct_0(X0)
| v3_binop_1(u2_lattices(X0),u1_struct_0(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0) ),
inference(cnf_transformation,[],[f11210]) ).
tcf(c_1009,plain,
! [X0: $i] :
( v3_struct_0(X0)
| v1_relat_1(u2_lattices(X0))
| ~ l2_lattices(X0)
| ~ v5_lattices(X0) ),
inference(cnf_transformation,[],[f11215]) ).
tcf(c_1012,plain,
! [X0: $i] :
( v3_struct_0(X0)
| v2_binop_1(u2_lattices(X0),u1_struct_0(X0))
| ~ l2_lattices(X0)
| ~ v5_lattices(X0) ),
inference(cnf_transformation,[],[f11212]) ).
tcf(c_1013,plain,
! [X0: $i] :
( v3_struct_0(X0)
| v1_partfun1(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ l2_lattices(X0)
| ~ v5_lattices(X0) ),
inference(cnf_transformation,[],[f11211]) ).
tcf(c_1014,plain,
! [X0: $i] :
( v3_struct_0(X0)
| v1_relat_1(u2_lattices(X0))
| ~ l2_lattices(X0)
| ~ v4_lattices(X0) ),
inference(cnf_transformation,[],[f11220]) ).
tcf(c_1017,plain,
! [X0: $i] :
( v3_struct_0(X0)
| v1_binop_1(u2_lattices(X0),u1_struct_0(X0))
| ~ l2_lattices(X0)
| ~ v4_lattices(X0) ),
inference(cnf_transformation,[],[f11217]) ).
tcf(c_1018,plain,
! [X0: $i] :
( v3_struct_0(X0)
| v1_partfun1(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ l2_lattices(X0)
| ~ v4_lattices(X0) ),
inference(cnf_transformation,[],[f11216]) ).
tcf(c_1019,plain,
! [X0: $i] :
( v1_funct_1(u2_lattices(X0))
| ~ l2_lattices(X0) ),
inference(cnf_transformation,[],[f11223]) ).
tcf(c_1020,plain,
! [X0: $i] :
( v1_funct_2(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ l2_lattices(X0) ),
inference(cnf_transformation,[],[f11222]) ).
tcf(c_1021,plain,
! [X0: $i] :
( m2_relset_1(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ l2_lattices(X0) ),
inference(cnf_transformation,[],[f11221]) ).
tcf(c_1022,plain,
! [X0: $i] :
( v3_struct_0(X0)
| v1_setwiseo(u1_lattices(X0),u1_struct_0(X0))
| ~ v14_lattices(X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0) ),
inference(cnf_transformation,[],[f11224]) ).
tcf(c_1023,plain,
! [X0: $i] :
( v3_struct_0(X0)
| v3_binop_1(u1_lattices(X0),u1_struct_0(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0) ),
inference(cnf_transformation,[],[f11225]) ).
tcf(c_1024,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| v3_struct_0(X0)
| ( g3_lattices(k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X1)),k7_filter_1(u1_struct_0(X0),u1_struct_0(X1),u2_lattices(X0),u2_lattices(X1)),k7_filter_1(u1_struct_0(X0),u1_struct_0(X1),u1_lattices(X0),u1_lattices(X1))) = k8_filter_1(X0,X1) )
| ~ l3_lattices(X1)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f11226]) ).
tcf(c_1025,plain,
! [X0: $i] :
( ( g3_lattices(u1_struct_0(X0),u1_lattices(X0),u2_lattices(X0)) = k1_lattice2(X0) )
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f11227]) ).
tcf(c_1026,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( X0 = X3 )
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X1)
| ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ( g3_lattices(X0,X1,X2) != g3_lattices(X3,X4,X5) ) ),
inference(cnf_transformation,[],[f11230]) ).
tcf(c_1027,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( X1 = X4 )
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X1)
| ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ( g3_lattices(X0,X1,X2) != g3_lattices(X3,X4,X5) ) ),
inference(cnf_transformation,[],[f11229]) ).
tcf(c_1028,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( X2 = X5 )
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X1)
| ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ( g3_lattices(X0,X1,X2) != g3_lattices(X3,X4,X5) ) ),
inference(cnf_transformation,[],[f11228]) ).
tcf(c_1029,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_lattices(g3_lattices(X1,X0,X2))
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X0)
| ~ m1_relset_1(X2,k2_zfmisc_1(X1,X1),X1)
| ~ m1_relset_1(X0,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1) ),
inference(cnf_transformation,[],[f11232]) ).
tcf(c_1030,plain,
! [X0: $i,X1: $i,X2: $i] :
( l3_lattices(g3_lattices(X1,X0,X2))
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X0)
| ~ m1_relset_1(X2,k2_zfmisc_1(X1,X1),X1)
| ~ m1_relset_1(X0,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1) ),
inference(cnf_transformation,[],[f11231]) ).
tcf(c_1031,plain,
! [X0: $i] :
( ( g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) = X0 )
| ~ v3_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f11233]) ).
tcf(c_1032,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_xboole_0(X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X0)
| ~ v3_struct_0(g3_lattices(X1,X0,X2))
| ~ m1_relset_1(X2,k2_zfmisc_1(X1,X1),X1)
| ~ m1_relset_1(X0,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1) ),
inference(cnf_transformation,[],[f11235]) ).
tcf(c_1034,plain,
! [X0: $i] :
( v3_lattices(k1_lattice2(X0))
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f11237]) ).
tcf(c_1035,plain,
! [X0: $i] :
( l3_lattices(k1_lattice2(X0))
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f11236]) ).
tcf(c_1036,plain,
! [X0: $i] :
( v3_struct_0(X0)
| ( k1_lattice2(k1_lattice2(X0)) = X0 )
| ~ v3_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f11238]) ).
tcf(c_1046,plain,
! [X0: $i] :
( sP13(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0) ),
inference(cnf_transformation,[],[f11248]) ).
tcf(c_1047,plain,
! [X0: $i] :
( v3_struct_0(X0)
| ~ l3_lattices(X0)
| ~ v3_struct_0(k1_lattice2(X0)) ),
inference(cnf_transformation,[],[f11250]) ).
tcf(c_1049,plain,
l3_lattices(sK191),
inference(cnf_transformation,[],[f11261]) ).
tcf(c_1050,plain,
~ v3_struct_0(sK191),
inference(cnf_transformation,[],[f11260]) ).
tcf(c_1051,plain,
v3_lattices(sK191),
inference(cnf_transformation,[],[f11259]) ).
tcf(c_1052,plain,
v4_lattices(sK191),
inference(cnf_transformation,[],[f11258]) ).
tcf(c_1053,plain,
v5_lattices(sK191),
inference(cnf_transformation,[],[f11257]) ).
tcf(c_1054,plain,
v6_lattices(sK191),
inference(cnf_transformation,[],[f11256]) ).
tcf(c_1055,plain,
v7_lattices(sK191),
inference(cnf_transformation,[],[f11255]) ).
tcf(c_1056,plain,
v8_lattices(sK191),
inference(cnf_transformation,[],[f11254]) ).
tcf(c_1057,plain,
v9_lattices(sK191),
inference(cnf_transformation,[],[f11253]) ).
tcf(c_1058,plain,
v10_lattices(sK191),
inference(cnf_transformation,[],[f11252]) ).
tcf(c_1059,plain,
v3_filter_0(sK191),
inference(cnf_transformation,[],[f11251]) ).
tcf(c_1060,plain,
l3_lattices(sK192),
inference(cnf_transformation,[],[f11271]) ).
tcf(c_1061,plain,
~ v3_struct_0(sK192),
inference(cnf_transformation,[],[f11270]) ).
tcf(c_1062,plain,
v3_lattices(sK192),
inference(cnf_transformation,[],[f11269]) ).
tcf(c_1063,plain,
v4_lattices(sK192),
inference(cnf_transformation,[],[f11268]) ).
tcf(c_1064,plain,
v5_lattices(sK192),
inference(cnf_transformation,[],[f11267]) ).
tcf(c_1065,plain,
v6_lattices(sK192),
inference(cnf_transformation,[],[f11266]) ).
tcf(c_1066,plain,
v7_lattices(sK192),
inference(cnf_transformation,[],[f11265]) ).
tcf(c_1067,plain,
v8_lattices(sK192),
inference(cnf_transformation,[],[f11264]) ).
tcf(c_1068,plain,
v9_lattices(sK192),
inference(cnf_transformation,[],[f11263]) ).
tcf(c_1069,plain,
v10_lattices(sK192),
inference(cnf_transformation,[],[f11262]) ).
tcf(c_1070,plain,
l3_lattices(sK193),
inference(cnf_transformation,[],[f11274]) ).
tcf(c_1071,plain,
~ v3_struct_0(sK193),
inference(cnf_transformation,[],[f11273]) ).
tcf(c_1072,plain,
v3_lattices(sK193),
inference(cnf_transformation,[],[f11272]) ).
tcf(c_1073,plain,
l3_lattices(sK194),
inference(cnf_transformation,[],[f11276]) ).
tcf(c_1074,plain,
v3_lattices(sK194),
inference(cnf_transformation,[],[f11275]) ).
tcf(c_1075,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X1)
| ( k3_lattices(X1,X0,X2) = k3_lattices(X1,X2,X0) )
| ~ l2_lattices(X1)
| ~ v4_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f11277]) ).
tcf(c_1076,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X1)
| m1_subset_1(k3_lattices(X1,X0,X2),u1_struct_0(X1))
| ~ l2_lattices(X1)
| ~ v4_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f11278]) ).
tcf(c_1084,plain,
! [X0: $i] :
( v10_lattices(X0)
| v3_struct_0(X0)
| ~ v9_lattices(X0)
| ~ v8_lattices(X0)
| ~ v7_lattices(X0)
| ~ v6_lattices(X0)
| ~ v5_lattices(X0)
| ~ v4_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f11286]) ).
tcf(c_1085,plain,
! [X0: $i] :
( v4_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0) ),
inference(cnf_transformation,[],[f11293]) ).
tcf(c_1086,plain,
! [X0: $i] :
( v5_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0) ),
inference(cnf_transformation,[],[f11292]) ).
tcf(c_1087,plain,
! [X0: $i] :
( v6_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0) ),
inference(cnf_transformation,[],[f11291]) ).
tcf(c_1088,plain,
! [X0: $i] :
( v7_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0) ),
inference(cnf_transformation,[],[f11290]) ).
tcf(c_1089,plain,
! [X0: $i] :
( v8_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0) ),
inference(cnf_transformation,[],[f11289]) ).
tcf(c_1090,plain,
! [X0: $i] :
( v9_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0) ),
inference(cnf_transformation,[],[f11288]) ).
tcf(c_1091,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X1)
| r3_lattices(X1,X0,X0)
| ~ v9_lattices(X1)
| ~ v8_lattices(X1)
| ~ v6_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f11295]) ).
tcf(c_1092,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| ( k4_lattices(X1,X0,X0) = X0 )
| ~ v9_lattices(X1)
| ~ v8_lattices(X1)
| ~ v6_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f11296]) ).
tcf(c_1094,plain,
! [X0: $i] :
( v3_struct_0(X0)
| v1_relat_1(u1_lattices(X0))
| ~ l1_lattices(X0)
| ~ v7_lattices(X0) ),
inference(cnf_transformation,[],[f11302]) ).
tcf(c_1097,plain,
! [X0: $i] :
( v3_struct_0(X0)
| v2_binop_1(u1_lattices(X0),u1_struct_0(X0))
| ~ l1_lattices(X0)
| ~ v7_lattices(X0) ),
inference(cnf_transformation,[],[f11299]) ).
tcf(c_1098,plain,
! [X0: $i] :
( v3_struct_0(X0)
| v1_partfun1(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ l1_lattices(X0)
| ~ v7_lattices(X0) ),
inference(cnf_transformation,[],[f11298]) ).
tcf(c_1099,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(X1)
| v3_realset2(X0)
| v3_struct_0(X0)
| r1_tarski(sK195(X0,X1),X1)
| ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ r2_hidden(k5_lattices(X0),k3_filter_0(X0,X1)) ),
inference(cnf_transformation,[],[f11306]) ).
tcf(c_1100,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(X1)
| v3_realset2(X0)
| v3_struct_0(X0)
| ( k2_lattice4(X0,sK195(X0,X1)) = k5_lattices(X0) )
| ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ r2_hidden(k5_lattices(X0),k3_filter_0(X0,X1)) ),
inference(cnf_transformation,[],[f11305]) ).
tcf(c_1101,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(X1)
| v3_realset2(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| ~ v1_xboole_0(sK195(X0,X1))
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ r2_hidden(k5_lattices(X0),k3_filter_0(X0,X1)) ),
inference(cnf_transformation,[],[f11304]) ).
tcf(c_1102,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(X1)
| v3_realset2(X0)
| v3_struct_0(X0)
| m1_subset_1(sK195(X0,X1),k5_finsub_1(u1_struct_0(X0)))
| ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ r2_hidden(k5_lattices(X0),k3_filter_0(X0,X1)) ),
inference(cnf_transformation,[],[f11303]) ).
tcf(c_1103,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(X0)
| v3_struct_0(X1)
| m1_filter_0(k3_filter_0(X1,X0),X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(cnf_transformation,[],[f11307]) ).
tcf(c_1104,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_xboole_0(X2)
| v1_xboole_0(X0)
| v3_struct_0(X1)
| ( k3_filter_0(X1,k4_subset_1(u1_struct_0(X1),k3_filter_0(X1,X0),X2)) = k3_filter_0(X1,k4_subset_1(u1_struct_0(X1),X0,X2)) )
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(cnf_transformation,[],[f11309]) ).
tcf(c_1105,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_xboole_0(X2)
| v1_xboole_0(X0)
| v3_struct_0(X1)
| ( k3_filter_0(X1,k4_subset_1(u1_struct_0(X1),X0,k3_filter_0(X1,X2))) = k3_filter_0(X1,k4_subset_1(u1_struct_0(X1),X0,X2)) )
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(cnf_transformation,[],[f11308]) ).
tcf(c_1106,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_xboole_0(X2)
| v1_xboole_0(X0)
| v3_struct_0(X1)
| r1_tarski(k3_filter_0(X1,X0),k3_filter_0(X1,X2))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ r1_tarski(X0,X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(cnf_transformation,[],[f11310]) ).
tcf(c_1107,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| ( k3_filter_0(X1,X0) = X0 )
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_filter_0(X0,X1) ),
inference(cnf_transformation,[],[f11311]) ).
tcf(c_1108,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_xboole_0(X2)
| v3_struct_0(X1)
| ( k3_filter_0(X1,X2) = X0 )
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_filter_0(X0,X1)
| ~ r1_tarski(X2,X0)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ r1_tarski(X0,sK196(X1,X2,X0)) ),
inference(cnf_transformation,[],[f11316]) ).
tcf(c_1109,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_xboole_0(X0)
| v3_struct_0(X1)
| r1_tarski(X0,sK196(X1,X0,X2))
| ( k3_filter_0(X1,X0) = X2 )
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_filter_0(X2,X1)
| ~ r1_tarski(X0,X2)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(cnf_transformation,[],[f11315]) ).
tcf(c_1110,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_xboole_0(X0)
| v3_struct_0(X1)
| m1_filter_0(sK196(X1,X0,X2),X1)
| ( k3_filter_0(X1,X0) = X2 )
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_filter_0(X2,X1)
| ~ r1_tarski(X0,X2)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(cnf_transformation,[],[f11314]) ).
tcf(c_1111,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(X1)
| v3_struct_0(X0)
| r1_tarski(X1,k3_filter_0(X0,X1))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ m1_filter_0(k3_filter_0(X0,X1),X0) ),
inference(cnf_transformation,[],[f15152]) ).
tcf(c_1112,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_xboole_0(X1)
| v3_struct_0(X0)
| r1_tarski(k3_filter_0(X0,X1),X2)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| ~ m1_filter_0(X2,X0)
| ~ r1_tarski(X1,X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ m1_filter_0(k3_filter_0(X0,X1),X0) ),
inference(cnf_transformation,[],[f15153]) ).
tcf(c_1113,plain,
! [X0: $i] :
( v6_group_1(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| ~ v6_group_1(k1_lattice2(X0)) ),
inference(cnf_transformation,[],[f11318]) ).
tcf(c_1114,plain,
! [X0: $i] :
( v3_struct_0(X0)
| v6_group_1(k1_lattice2(X0))
| ~ v6_group_1(X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0) ),
inference(cnf_transformation,[],[f11317]) ).
tcf(c_1115,plain,
! [X0: $i] :
( v3_struct_0(X0)
| ( k5_lattices(k1_lattice2(X0)) = k6_lattices(X0) )
| ~ v14_lattices(X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0) ),
inference(cnf_transformation,[],[f11319]) ).
tcf(c_1116,plain,
! [X0: $i] :
( v3_struct_0(X0)
| ( k6_lattices(k1_lattice2(X0)) = k5_lattices(X0) )
| ~ v13_lattices(X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0) ),
inference(cnf_transformation,[],[f11320]) ).
tcf(c_1117,plain,
! [X0: $i] :
( v11_lattices(X0)
| v3_struct_0(X0)
| v3_struct_0(k1_lattice2(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| ~ v11_lattices(k1_lattice2(X0))
| ~ l3_lattices(k1_lattice2(X0))
| ~ v10_lattices(k1_lattice2(X0)) ),
inference(cnf_transformation,[],[f11326]) ).
tcf(c_1119,plain,
! [X0: $i] :
( v3_struct_0(X0)
| v10_lattices(k1_lattice2(X0))
| ~ v11_lattices(X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0) ),
inference(cnf_transformation,[],[f15383]) ).
tcf(c_1120,plain,
! [X0: $i] :
( v3_struct_0(X0)
| v11_lattices(k1_lattice2(X0))
| ~ v11_lattices(X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0) ),
inference(cnf_transformation,[],[f15384]) ).
tcf(c_1122,plain,
! [X0: $i] :
( v14_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| ~ v13_lattices(k1_lattice2(X0)) ),
inference(cnf_transformation,[],[f11330]) ).
tcf(c_1123,plain,
! [X0: $i] :
( v3_struct_0(X0)
| v13_lattices(k1_lattice2(X0))
| ~ v14_lattices(X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0) ),
inference(cnf_transformation,[],[f11329]) ).
tcf(c_1124,plain,
! [X0: $i] :
( v13_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| ~ v14_lattices(k1_lattice2(X0)) ),
inference(cnf_transformation,[],[f11332]) ).
tcf(c_1125,plain,
! [X0: $i] :
( v3_struct_0(X0)
| v14_lattices(k1_lattice2(X0))
| ~ v13_lattices(X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0) ),
inference(cnf_transformation,[],[f11331]) ).
tcf(c_1126,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X0)
| r3_lattices(X0,X2,X1)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(k1_lattice2(X0)))
| ~ m1_subset_1(X1,u1_struct_0(k1_lattice2(X0)))
| ~ r3_lattices(k1_lattice2(X0),X1,X2) ),
inference(cnf_transformation,[],[f15155]) ).
tcf(c_1127,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X1)
| r3_lattices(k1_lattice2(X1),X2,X0)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ r3_lattices(X1,X0,X2)
| ~ m1_subset_1(X2,u1_struct_0(k1_lattice2(X1)))
| ~ m1_subset_1(X0,u1_struct_0(k1_lattice2(X1))) ),
inference(cnf_transformation,[],[f15157]) ).
tcf(c_1128,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X1)
| ( k3_lattices(k1_lattice2(X1),X0,X2) = k4_lattices(X1,X0,X2) )
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(k1_lattice2(X1)))
| ~ m1_subset_1(X0,u1_struct_0(k1_lattice2(X1))) ),
inference(cnf_transformation,[],[f15159]) ).
tcf(c_1129,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X1)
| ( k4_lattices(k1_lattice2(X1),X0,X2) = k3_lattices(X1,X0,X2) )
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(k1_lattice2(X1)))
| ~ m1_subset_1(X0,u1_struct_0(k1_lattice2(X1))) ),
inference(cnf_transformation,[],[f15161]) ).
tcf(c_1130,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v1_xboole_0(X1)
| v3_struct_0(X2)
| ( k3_lattice2(X1,k1_lattice2(X2),X3,X0) = k2_lattice2(X1,X2,X3,X0) )
| ~ v1_funct_1(X0)
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| ~ m1_subset_1(X3,k5_finsub_1(X1))
| ~ m2_relset_1(X0,X1,u1_struct_0(X2))
| ~ v1_funct_2(X0,X1,u1_struct_0(X2))
| ~ m2_relset_1(X0,X1,u1_struct_0(k1_lattice2(X2)))
| ~ v1_funct_2(X0,X1,u1_struct_0(k1_lattice2(X2))) ),
inference(cnf_transformation,[],[f15386]) ).
tcf(c_1131,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v1_xboole_0(X1)
| v3_struct_0(X2)
| ( k2_lattice2(X1,k1_lattice2(X2),X3,X0) = k3_lattice2(X1,X2,X3,X0) )
| ~ v1_funct_1(X0)
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| ~ m1_subset_1(X3,k5_finsub_1(X1))
| ~ m2_relset_1(X0,X1,u1_struct_0(X2))
| ~ v1_funct_2(X0,X1,u1_struct_0(X2))
| ~ m2_relset_1(X0,X1,u1_struct_0(k1_lattice2(X2)))
| ~ v1_funct_2(X0,X1,u1_struct_0(k1_lattice2(X2))) ),
inference(cnf_transformation,[],[f15387]) ).
tcf(c_1132,plain,
! [X0: $i] :
( v3_struct_0(X0)
| ( u1_struct_0(k1_lattice2(X0)) = u1_struct_0(X0) )
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f11341]) ).
tcf(c_1133,plain,
! [X0: $i] :
( v3_struct_0(X0)
| ( u1_lattices(k1_lattice2(X0)) = u2_lattices(X0) )
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f11340]) ).
tcf(c_1134,plain,
! [X0: $i] :
( v3_struct_0(X0)
| ( u2_lattices(k1_lattice2(X0)) = u1_lattices(X0) )
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f11339]) ).
tcf(c_1135,plain,
! [X0: $i,X1: $i] :
( v3_relat_2(sK197(X1,X0))
| ~ m2_relset_1(X0,X1,X1) ),
inference(cnf_transformation,[],[f11347]) ).
tcf(c_1136,plain,
! [X0: $i,X1: $i] :
( v8_relat_2(sK197(X1,X0))
| ~ m2_relset_1(X0,X1,X1) ),
inference(cnf_transformation,[],[f11346]) ).
tcf(c_1137,plain,
! [X0: $i,X1: $i] :
( v1_partfun1(sK197(X1,X0),X1,X1)
| ~ m2_relset_1(X0,X1,X1) ),
inference(cnf_transformation,[],[f11345]) ).
tcf(c_1138,plain,
! [X0: $i,X1: $i] :
( m2_relset_1(sK197(X1,X0),X1,X1)
| ~ m2_relset_1(X0,X1,X1) ),
inference(cnf_transformation,[],[f11344]) ).
tcf(c_1139,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,sK197(X1,X0))
| ~ m2_relset_1(X0,X1,X1) ),
inference(cnf_transformation,[],[f11343]) ).
tcf(c_1140,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(sK197(X1,X0),X2)
| ~ v8_relat_2(X2)
| ~ v3_relat_2(X2)
| ~ r1_tarski(X0,X2)
| ~ v1_partfun1(X2,X1,X1)
| ~ m2_relset_1(X2,X1,X1)
| ~ m2_relset_1(X0,X1,X1) ),
inference(cnf_transformation,[],[f11342]) ).
tcf(c_1141,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r2_hidden(k2_tarski(k2_tarski(X1,X0),k2_enumset1(X1,X1,X1,X1)),X2)
| ~ v3_relat_2(X2)
| ~ v1_partfun1(X2,X3,X3)
| ~ m2_relset_1(X2,X3,X3)
| ~ r2_hidden(k2_tarski(k2_tarski(X0,X1),k2_enumset1(X0,X0,X0,X0)),X2) ),
inference(cnf_transformation,[],[f14406]) ).
tcf(c_1142,plain,
! [X0: $i,X1: $i] :
( v3_relat_2(k3_tarski(k2_tarski(X0,X1)))
| ~ v3_relat_2(X1)
| ~ v3_relat_2(X0)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f14407]) ).
tcf(c_1143,plain,
! [X0: $i,X1: $i] :
( v3_relat_2(k4_xboole_0(X0,k4_xboole_0(X0,X1)))
| ~ v3_relat_2(X1)
| ~ v3_relat_2(X0)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f14408]) ).
tcf(c_1144,plain,
! [X0: $i,X1: $i] :
( v3_relat_2(k4_xboole_0(X0,X1))
| ~ v3_relat_2(X1)
| ~ v3_relat_2(X0)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f11349]) ).
tcf(c_1147,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( r2_hidden(k2_tarski(k2_tarski(X0,X3),k2_enumset1(X0,X0,X0,X0)),X2)
| ~ v8_relat_2(X2)
| ~ v1_partfun1(X2,X4,X4)
| ~ m2_relset_1(X2,X4,X4)
| ~ r2_hidden(k2_tarski(k2_tarski(X1,X3),k2_enumset1(X1,X1,X1,X1)),X2)
| ~ r2_hidden(k2_tarski(k2_tarski(X0,X1),k2_enumset1(X0,X0,X0,X0)),X2) ),
inference(cnf_transformation,[],[f14411]) ).
tcf(c_1148,plain,
! [X0: $i] :
( v8_relat_2(X0)
| ~ v1_relat_1(X0)
| ~ r1_tarski(k5_relat_1(X0,X0),X0) ),
inference(cnf_transformation,[],[f11356]) ).
tcf(c_1149,plain,
! [X0: $i] :
( r1_tarski(k5_relat_1(X0,X0),X0)
| ~ v8_relat_2(X0)
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f11355]) ).
tcf(c_1150,plain,
! [X0: $i,X1: $i] :
( v8_relat_2(k4_xboole_0(X0,k4_xboole_0(X0,X1)))
| ~ v8_relat_2(X1)
| ~ v8_relat_2(X0)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f14412]) ).
tcf(c_1151,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_partfun1(X0,X1,X2)
| ( X2 = np__0 )
| ~ v1_funct_1(X0)
| ~ m2_relset_1(X0,X1,X2)
| ~ v1_funct_2(X0,X1,X2) ),
inference(cnf_transformation,[],[f15388]) ).
tcf(c_1154,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_xboole_0(X2)
| v1_xboole_0(X1)
| ~ v1_funct_1(X0)
| ~ v1_xboole_0(X0)
| ~ m1_relset_1(X0,X1,X2)
| ~ v1_funct_2(X0,X1,X2) ),
inference(cnf_transformation,[],[f11365]) ).
tcf(c_1156,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_xboole_0(X2)
| v1_partfun1(X0,X1,X2)
| ~ v1_funct_1(X0)
| ~ m1_relset_1(X0,X1,X2)
| ~ v1_funct_2(X0,X1,X2) ),
inference(cnf_transformation,[],[f11368]) ).
tcf(c_1157,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_funct_2(X0,X1,X2)
| ~ v1_funct_1(X0)
| ~ m1_relset_1(X0,X1,X2)
| ~ v1_partfun1(X0,X1,X2) ),
inference(cnf_transformation,[],[f11370]) ).
tcf(c_1158,plain,
! [X0: $i,X1: $i] :
( v1_partfun1(X0,np__0,X1)
| ~ v1_funct_1(X0)
| ~ m2_relset_1(X0,np__0,X1) ),
inference(cnf_transformation,[],[f14415]) ).
tcf(c_1159,plain,
! [X0: $i,X1: $i] :
( ( X1 = np__0 )
| ~ v1_funct_1(X0)
| ~ v1_partfun1(X0,X1,np__0)
| ~ m2_relset_1(X0,X1,np__0) ),
inference(cnf_transformation,[],[f15165]) ).
tcf(c_1160,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(X1)
| ~ v8_relat_2(X0)
| ~ v3_relat_2(X0)
| ~ v1_xboole_0(k8_eqrel_1(X1,X0))
| ~ v1_partfun1(X0,X1,X1)
| ~ m2_relset_1(X0,X1,X1) ),
inference(cnf_transformation,[],[f11374]) ).
tcf(c_1161,plain,
! [X0: $i,X1: $i] :
( m1_eqrel_1(k8_eqrel_1(X1,X0),X1)
| ~ v8_relat_2(X0)
| ~ v3_relat_2(X0)
| ~ m1_relset_1(X0,X1,X1)
| ~ v1_partfun1(X0,X1,X1) ),
inference(cnf_transformation,[],[f11375]) ).
tcf(c_1162,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| v1_relat_1(k10_filter_0(X1,X0))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_filter_0(X0,X1) ),
inference(cnf_transformation,[],[f11376]) ).
tcf(c_1163,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| ( k3_relat_1(k10_filter_0(X1,X0)) = u1_struct_0(X1) )
| ~ v3_filter_0(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_filter_0(X0,X1) ),
inference(cnf_transformation,[],[f15390]) ).
tcf(c_1164,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| v3_relat_2(k10_filter_0(X1,X0))
| ~ v3_filter_0(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_filter_0(X0,X1) ),
inference(cnf_transformation,[],[f15391]) ).
tcf(c_1165,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| v8_relat_2(k10_filter_0(X1,X0))
| ~ v3_filter_0(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_filter_0(X0,X1) ),
inference(cnf_transformation,[],[f15392]) ).
tcf(c_1166,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| v1_partfun1(k10_filter_0(X1,X0),u1_struct_0(X1),u1_struct_0(X1))
| ~ v3_filter_0(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_filter_0(X0,X1) ),
inference(cnf_transformation,[],[f15393]) ).
tcf(c_1167,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| m2_relset_1(k10_filter_0(X1,X0),u1_struct_0(X1),u1_struct_0(X1))
| ~ v3_filter_0(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_filter_0(X0,X1) ),
inference(cnf_transformation,[],[f15394]) ).
tcf(c_1168,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| m2_relset_1(k10_filter_0(X1,X0),u1_struct_0(X1),u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_filter_0(X0,X1) ),
inference(cnf_transformation,[],[f11382]) ).
tcf(c_1169,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X0)
| ( k10_filter_0(X0,X1) = X2 )
| ~ v1_relat_1(X2)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| ~ m1_filter_0(X1,X0)
| ~ r1_tarski(k3_relat_1(X2),u1_struct_0(X0))
| ~ r2_hidden(k9_filter_0(X0,sK198(X0,X1,X2),sK199(X0,X1,X2)),X1)
| ~ r2_hidden(k1_domain_1(u1_struct_0(X0),u1_struct_0(X0),sK198(X0,X1,X2),sK199(X0,X1,X2)),X2) ),
inference(cnf_transformation,[],[f11389]) ).
tcf(c_1170,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X1)
| r2_hidden(k9_filter_0(X1,sK198(X1,X2,X0),sK199(X1,X2,X0)),X2)
| r2_hidden(k1_domain_1(u1_struct_0(X1),u1_struct_0(X1),sK198(X1,X2,X0),sK199(X1,X2,X0)),X0)
| ( k10_filter_0(X1,X2) = X0 )
| ~ v1_relat_1(X0)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_filter_0(X2,X1)
| ~ r1_tarski(k3_relat_1(X0),u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f11388]) ).
tcf(c_1171,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X1)
| m1_subset_1(sK199(X1,X2,X0),u1_struct_0(X1))
| ( k10_filter_0(X1,X2) = X0 )
| ~ v1_relat_1(X0)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_filter_0(X2,X1)
| ~ r1_tarski(k3_relat_1(X0),u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f11387]) ).
tcf(c_1172,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X1)
| m1_subset_1(sK198(X1,X2,X0),u1_struct_0(X1))
| ( k10_filter_0(X1,X2) = X0 )
| ~ v1_relat_1(X0)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_filter_0(X2,X1)
| ~ r1_tarski(k3_relat_1(X0),u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f11386]) ).
tcf(c_1173,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X0)
| r1_tarski(k3_relat_1(k10_filter_0(X0,X1)),u1_struct_0(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| ~ m1_filter_0(X1,X0)
| ~ v1_relat_1(k10_filter_0(X0,X1)) ),
inference(cnf_transformation,[],[f15166]) ).
tcf(c_1174,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v3_struct_0(X0)
| r2_hidden(k1_domain_1(u1_struct_0(X0),u1_struct_0(X0),X1,X2),k10_filter_0(X0,X3))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| ~ m1_filter_0(X3,X0)
| ~ v1_relat_1(k10_filter_0(X0,X3))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ r2_hidden(k9_filter_0(X0,X1,X2),X3) ),
inference(cnf_transformation,[],[f15167]) ).
tcf(c_1175,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v3_struct_0(X0)
| r2_hidden(k9_filter_0(X0,X1,X2),X3)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| ~ m1_filter_0(X3,X0)
| ~ v1_relat_1(k10_filter_0(X0,X3))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ r2_hidden(k1_domain_1(u1_struct_0(X0),u1_struct_0(X0),X1,X2),k10_filter_0(X0,X3)) ),
inference(cnf_transformation,[],[f15168]) ).
tcf(c_1176,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_xboole_0(X1)
| v1_funct_1(k4_filter_1(X1,X2,X0))
| ~ v8_relat_2(X2)
| ~ v3_relat_2(X2)
| ~ v1_funct_1(X0)
| ~ m1_relset_1(X2,X1,X1)
| ~ v1_partfun1(X2,X1,X1)
| ~ m1_relset_1(X0,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1) ),
inference(cnf_transformation,[],[f11392]) ).
tcf(c_1177,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_xboole_0(X1)
| v1_funct_2(k4_filter_1(X1,X2,X0),k2_zfmisc_1(k8_eqrel_1(X1,X2),k8_eqrel_1(X1,X2)),k8_eqrel_1(X1,X2))
| ~ v8_relat_2(X2)
| ~ v3_relat_2(X2)
| ~ v1_funct_1(X0)
| ~ m1_relset_1(X2,X1,X1)
| ~ v1_partfun1(X2,X1,X1)
| ~ m1_relset_1(X0,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1) ),
inference(cnf_transformation,[],[f11391]) ).
tcf(c_1178,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_xboole_0(X1)
| m2_relset_1(k4_filter_1(X1,X2,X0),k2_zfmisc_1(k8_eqrel_1(X1,X2),k8_eqrel_1(X1,X2)),k8_eqrel_1(X1,X2))
| ~ v8_relat_2(X2)
| ~ v3_relat_2(X2)
| ~ v1_funct_1(X0)
| ~ m1_relset_1(X2,X1,X1)
| ~ v1_partfun1(X2,X1,X1)
| ~ m1_relset_1(X0,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1) ),
inference(cnf_transformation,[],[f11390]) ).
tcf(c_1179,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v1_xboole_0(X1)
| r6_binop_1(k8_eqrel_1(X1,X0),k4_filter_1(X1,X0,X2),k4_filter_1(X1,X0,X3))
| ~ v8_relat_2(X0)
| ~ v3_relat_2(X0)
| ~ m2_filter_1(X3,X1,X0)
| ~ m2_filter_1(X2,X1,X0)
| ~ r6_binop_1(X1,X2,X3)
| ~ v1_partfun1(X0,X1,X1)
| ~ m2_relset_1(X0,X1,X1) ),
inference(cnf_transformation,[],[f11393]) ).
tcf(c_1180,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v1_xboole_0(X1)
| r3_binop_1(k8_eqrel_1(X1,X0),k2_filter_1(X1,X0,X2),k4_filter_1(X1,X0,X3))
| ~ v8_relat_2(X0)
| ~ v3_relat_2(X0)
| ~ m1_subset_1(X2,X1)
| ~ m2_filter_1(X3,X1,X0)
| ~ r3_binop_1(X1,X2,X3)
| ~ v1_partfun1(X0,X1,X1)
| ~ m2_relset_1(X0,X1,X1) ),
inference(cnf_transformation,[],[f11394]) ).
tcf(c_1181,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_xboole_0(X1)
| v2_binop_1(k4_filter_1(X1,X0,X2),k8_eqrel_1(X1,X0))
| ~ v8_relat_2(X0)
| ~ v3_relat_2(X0)
| ~ v2_binop_1(X2,X1)
| ~ m2_filter_1(X2,X1,X0)
| ~ v1_partfun1(X0,X1,X1)
| ~ m2_relset_1(X0,X1,X1) ),
inference(cnf_transformation,[],[f11395]) ).
tcf(c_1182,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_xboole_0(X1)
| v1_binop_1(k4_filter_1(X1,X0,X2),k8_eqrel_1(X1,X0))
| ~ v8_relat_2(X0)
| ~ v3_relat_2(X0)
| ~ v1_binop_1(X2,X1)
| ~ m2_filter_1(X2,X1,X0)
| ~ v1_partfun1(X0,X1,X1)
| ~ m2_relset_1(X0,X1,X1) ),
inference(cnf_transformation,[],[f11396]) ).
tcf(c_1183,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( v1_xboole_0(X1)
| ( k2_binop_1(k8_eqrel_1(X1,X0),k8_eqrel_1(X1,X0),k8_eqrel_1(X1,X0),k4_filter_1(X1,X0,X2),k2_filter_1(X1,X0,X3),k2_filter_1(X1,X0,X4)) = k2_filter_1(X1,X0,k2_binop_1(X1,X1,X1,X2,X3,X4)) )
| ~ v8_relat_2(X0)
| ~ v3_relat_2(X0)
| ~ m1_subset_1(X4,X1)
| ~ m1_subset_1(X3,X1)
| ~ m2_filter_1(X2,X1,X0)
| ~ v1_partfun1(X0,X1,X1)
| ~ m2_relset_1(X0,X1,X1) ),
inference(cnf_transformation,[],[f11397]) ).
tcf(c_1184,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v1_xboole_0(X0)
| ( k4_filter_1(X0,X1,X2) = X3 )
| ~ v8_relat_2(X1)
| ~ v3_relat_2(X1)
| ~ v1_funct_1(X3)
| ~ v1_funct_1(X2)
| ~ m2_filter_1(X2,X0,X1)
| ~ v1_partfun1(X1,X0,X0)
| ~ m2_relset_1(X1,X0,X0)
| ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(X3,k2_zfmisc_1(k8_eqrel_1(X0,X1),k8_eqrel_1(X0,X1)),k8_eqrel_1(X0,X1))
| ~ v1_funct_2(X3,k2_zfmisc_1(k8_eqrel_1(X0,X1),k8_eqrel_1(X0,X1)),k8_eqrel_1(X0,X1))
| ( k6_eqrel_1(X0,X1,k1_binop_1(X2,sK202(X0,X1,X2,X3),sK203(X0,X1,X2,X3))) != k1_binop_1(X3,sK200(X0,X1,X2,X3),sK201(X0,X1,X2,X3)) ) ),
inference(cnf_transformation,[],[f11403]) ).
tcf(c_1185,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v1_xboole_0(X1)
| r2_hidden(sK200(X1,X2,X3,X0),k8_eqrel_1(X1,X2))
| ( k4_filter_1(X1,X2,X3) = X0 )
| ~ v8_relat_2(X2)
| ~ v3_relat_2(X2)
| ~ v1_funct_1(X3)
| ~ v1_funct_1(X0)
| ~ m2_filter_1(X3,X1,X2)
| ~ v1_partfun1(X2,X1,X1)
| ~ m2_relset_1(X2,X1,X1)
| ~ m2_relset_1(X3,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(X0,k2_zfmisc_1(k8_eqrel_1(X1,X2),k8_eqrel_1(X1,X2)),k8_eqrel_1(X1,X2))
| ~ v1_funct_2(X0,k2_zfmisc_1(k8_eqrel_1(X1,X2),k8_eqrel_1(X1,X2)),k8_eqrel_1(X1,X2)) ),
inference(cnf_transformation,[],[f11402]) ).
tcf(c_1186,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v1_xboole_0(X1)
| r2_hidden(sK201(X1,X2,X3,X0),k8_eqrel_1(X1,X2))
| ( k4_filter_1(X1,X2,X3) = X0 )
| ~ v8_relat_2(X2)
| ~ v3_relat_2(X2)
| ~ v1_funct_1(X3)
| ~ v1_funct_1(X0)
| ~ m2_filter_1(X3,X1,X2)
| ~ v1_partfun1(X2,X1,X1)
| ~ m2_relset_1(X2,X1,X1)
| ~ m2_relset_1(X3,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(X0,k2_zfmisc_1(k8_eqrel_1(X1,X2),k8_eqrel_1(X1,X2)),k8_eqrel_1(X1,X2))
| ~ v1_funct_2(X0,k2_zfmisc_1(k8_eqrel_1(X1,X2),k8_eqrel_1(X1,X2)),k8_eqrel_1(X1,X2)) ),
inference(cnf_transformation,[],[f11401]) ).
tcf(c_1187,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v1_xboole_0(X1)
| r2_hidden(sK202(X1,X2,X3,X0),sK200(X1,X2,X3,X0))
| ( k4_filter_1(X1,X2,X3) = X0 )
| ~ v8_relat_2(X2)
| ~ v3_relat_2(X2)
| ~ v1_funct_1(X3)
| ~ v1_funct_1(X0)
| ~ m2_filter_1(X3,X1,X2)
| ~ v1_partfun1(X2,X1,X1)
| ~ m2_relset_1(X2,X1,X1)
| ~ m2_relset_1(X3,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(X0,k2_zfmisc_1(k8_eqrel_1(X1,X2),k8_eqrel_1(X1,X2)),k8_eqrel_1(X1,X2))
| ~ v1_funct_2(X0,k2_zfmisc_1(k8_eqrel_1(X1,X2),k8_eqrel_1(X1,X2)),k8_eqrel_1(X1,X2)) ),
inference(cnf_transformation,[],[f11400]) ).
tcf(c_1188,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v1_xboole_0(X1)
| r2_hidden(sK203(X1,X2,X3,X0),sK201(X1,X2,X3,X0))
| ( k4_filter_1(X1,X2,X3) = X0 )
| ~ v8_relat_2(X2)
| ~ v3_relat_2(X2)
| ~ v1_funct_1(X3)
| ~ v1_funct_1(X0)
| ~ m2_filter_1(X3,X1,X2)
| ~ v1_partfun1(X2,X1,X1)
| ~ m2_relset_1(X2,X1,X1)
| ~ m2_relset_1(X3,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(X0,k2_zfmisc_1(k8_eqrel_1(X1,X2),k8_eqrel_1(X1,X2)),k8_eqrel_1(X1,X2))
| ~ v1_funct_2(X0,k2_zfmisc_1(k8_eqrel_1(X1,X2),k8_eqrel_1(X1,X2)),k8_eqrel_1(X1,X2)) ),
inference(cnf_transformation,[],[f11399]) ).
tcf(c_1189,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( v1_xboole_0(X0)
| ( k1_binop_1(k4_filter_1(X0,X1,X2),X3,X4) = k6_eqrel_1(X0,X1,k1_binop_1(X2,X5,X6)) )
| ~ v8_relat_2(X1)
| ~ v3_relat_2(X1)
| ~ v1_funct_1(X2)
| ~ r2_hidden(X6,X4)
| ~ r2_hidden(X5,X3)
| ~ m2_filter_1(X2,X0,X1)
| ~ v1_partfun1(X1,X0,X0)
| ~ m2_relset_1(X1,X0,X0)
| ~ v1_funct_1(k4_filter_1(X0,X1,X2))
| ~ r2_hidden(X4,k8_eqrel_1(X0,X1))
| ~ r2_hidden(X3,k8_eqrel_1(X0,X1))
| ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(k4_filter_1(X0,X1,X2),k2_zfmisc_1(k8_eqrel_1(X0,X1),k8_eqrel_1(X0,X1)),k8_eqrel_1(X0,X1))
| ~ v1_funct_2(k4_filter_1(X0,X1,X2),k2_zfmisc_1(k8_eqrel_1(X0,X1),k8_eqrel_1(X0,X1)),k8_eqrel_1(X0,X1)) ),
inference(cnf_transformation,[],[f15169]) ).
tcf(c_1190,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_xboole_0(X1)
| v1_xboole_0(X0)
| m2_subset_1(X2,X1,X0)
| ~ m1_subset_1(X2,X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(X1)) ),
inference(cnf_transformation,[],[f11405]) ).
tcf(c_1191,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_xboole_0(X2)
| v1_xboole_0(X1)
| m1_subset_1(X0,X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| ~ m2_subset_1(X0,X1,X2) ),
inference(cnf_transformation,[],[f11404]) ).
tcf(c_1192,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(X1)
| v1_xboole_0(X0)
| m2_subset_1(sK204(X1,X0),X1,X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(X1)) ),
inference(cnf_transformation,[],[f11406]) ).
tcf(c_1193,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_xboole_0(X2)
| v1_xboole_0(X1)
| m1_subset_1(X0,X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| ~ m2_subset_1(X0,X1,X2) ),
inference(cnf_transformation,[],[f11407]) ).
tcf(c_1194,plain,
! [X0: $i,X1: $i] :
( v3_pre_topc(X1,X0)
| ~ sP15(X1,X0)
| ~ sP14(X0,X1) ),
inference(cnf_transformation,[],[f11409]) ).
tcf(c_1195,plain,
! [X0: $i,X1: $i] :
( sP14(X1,X0)
| ~ sP15(X0,X1)
| ~ v3_pre_topc(X0,X1) ),
inference(cnf_transformation,[],[f11408]) ).
tcf(c_1206,plain,
! [X0: $i,X1: $i] :
( sP15(X0,X1)
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(cnf_transformation,[],[f11420]) ).
tcf(c_1207,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X1)
| r2_hidden(X2,k6_pre_topc(X1,X0))
| v3_pre_topc(sK208(X1,X0,X2),X1)
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(cnf_transformation,[],[f11425]) ).
tcf(c_1208,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X1)
| r2_hidden(X2,k6_pre_topc(X1,X0))
| r2_hidden(X2,sK208(X1,X0,X2))
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(cnf_transformation,[],[f11424]) ).
tcf(c_1209,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X1)
| r2_hidden(X2,k6_pre_topc(X1,X0))
| r1_xboole_0(X0,sK208(X1,X0,X2))
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(cnf_transformation,[],[f11423]) ).
tcf(c_1210,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X1)
| r2_hidden(X2,k6_pre_topc(X1,X0))
| m1_subset_1(sK208(X1,X0,X2),k1_zfmisc_1(u1_struct_0(X1)))
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(cnf_transformation,[],[f11422]) ).
tcf(c_1212,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_pre_topc(k4_subset_1(u1_struct_0(X1),X0,X2),X1)
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1)
| ~ v3_pre_topc(X2,X1)
| ~ v3_pre_topc(X0,X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(cnf_transformation,[],[f11426]) ).
tcf(c_1213,plain,
! [X0: $i,X1: $i] :
( v3_pre_topc(X1,X0)
| ~ l1_pre_topc(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ v4_pre_topc(k3_subset_1(u1_struct_0(X0),X1),X0) ),
inference(cnf_transformation,[],[f11428]) ).
tcf(c_1214,plain,
! [X0: $i,X1: $i] :
( v4_pre_topc(k3_subset_1(u1_struct_0(X1),X0),X1)
| ~ l1_pre_topc(X1)
| ~ v3_pre_topc(X0,X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(cnf_transformation,[],[f11427]) ).
tcf(c_1215,plain,
! [X0: $i,X1: $i] :
( v4_pre_topc(X1,X0)
| ~ l1_pre_topc(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ v3_pre_topc(k3_subset_1(u1_struct_0(X0),X1),X0) ),
inference(cnf_transformation,[],[f11430]) ).
tcf(c_1216,plain,
! [X0: $i,X1: $i] :
( v3_pre_topc(k3_subset_1(u1_struct_0(X1),X0),X1)
| ~ l1_pre_topc(X1)
| ~ v4_pre_topc(X0,X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(cnf_transformation,[],[f11429]) ).
tcf(c_1217,plain,
! [X0: $i] :
( v3_struct_0(X0)
| m1_subset_1(sK209(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) ),
inference(cnf_transformation,[],[f11434]) ).
tcf(c_1218,plain,
! [X0: $i] :
( v3_struct_0(X0)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ v1_xboole_0(sK209(X0)) ),
inference(cnf_transformation,[],[f11433]) ).
tcf(c_1219,plain,
! [X0: $i] :
( v3_struct_0(X0)
| v3_pre_topc(sK209(X0),X0)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) ),
inference(cnf_transformation,[],[f11432]) ).
tcf(c_1220,plain,
! [X0: $i] :
( v3_struct_0(X0)
| v4_pre_topc(sK209(X0),X0)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) ),
inference(cnf_transformation,[],[f11431]) ).
tcf(c_1221,plain,
! [X0: $i] :
( m1_subset_1(sK210(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) ),
inference(cnf_transformation,[],[f11437]) ).
tcf(c_1222,plain,
! [X0: $i] :
( v3_pre_topc(sK210(X0),X0)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) ),
inference(cnf_transformation,[],[f11436]) ).
tcf(c_1223,plain,
! [X0: $i] :
( v4_pre_topc(sK210(X0),X0)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) ),
inference(cnf_transformation,[],[f11435]) ).
tcf(c_1224,plain,
! [X0: $i,X1: $i] :
( v3_pre_topc(X0,X1)
| ~ v1_xboole_0(X0)
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(cnf_transformation,[],[f11439]) ).
tcf(c_1225,plain,
! [X0: $i,X1: $i] :
( v4_pre_topc(X0,X1)
| ~ v1_xboole_0(X0)
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(cnf_transformation,[],[f11438]) ).
tcf(c_1227,plain,
! [X0: $i] :
( m1_subset_1(sK211(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) ),
inference(cnf_transformation,[],[f11442]) ).
tcf(c_1228,plain,
! [X0: $i] :
( v3_pre_topc(sK211(X0),X0)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) ),
inference(cnf_transformation,[],[f11441]) ).
tcf(c_1230,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X1)
| r2_hidden(X2,k6_pre_topc(X1,X0))
| v3_pre_topc(sK212(X1,X0,X2),X1)
| ~ l1_pre_topc(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(cnf_transformation,[],[f11449]) ).
tcf(c_1231,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X1)
| r2_hidden(X2,k6_pre_topc(X1,X0))
| r2_hidden(X2,sK212(X1,X0,X2))
| ~ l1_pre_topc(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(cnf_transformation,[],[f11448]) ).
tcf(c_1232,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X1)
| r2_hidden(X2,k6_pre_topc(X1,X0))
| r1_xboole_0(X0,sK212(X1,X0,X2))
| ~ l1_pre_topc(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(cnf_transformation,[],[f11447]) ).
tcf(c_1233,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X1)
| r2_hidden(X2,k6_pre_topc(X1,X0))
| m1_subset_1(sK212(X1,X0,X2),k1_zfmisc_1(u1_struct_0(X1)))
| ~ l1_pre_topc(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(cnf_transformation,[],[f11446]) ).
tcf(c_1234,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ l1_pre_topc(X1)
| ~ v3_struct_0(X1)
| ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ r2_hidden(X0,k6_pre_topc(X1,X2)) ),
inference(cnf_transformation,[],[f11445]) ).
tcf(c_1235,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ l1_pre_topc(X1)
| ~ r1_xboole_0(X2,X3)
| ~ v3_pre_topc(X3,X1)
| ~ r2_hidden(X0,X3)
| ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1)))
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ r2_hidden(X0,k6_pre_topc(X1,X2)) ),
inference(cnf_transformation,[],[f11444]) ).
tcf(c_1236,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k6_pre_topc(X0,X1) = X2 )
| ~ sP17(X2,X1,X0)
| ~ sP16(X0,X1,X2) ),
inference(cnf_transformation,[],[f11451]) ).
tcf(c_1237,plain,
! [X0: $i,X1: $i] :
( sP16(X0,X1,k6_pre_topc(X0,X1))
| ~ sP17(k6_pre_topc(X0,X1),X1,X0) ),
inference(cnf_transformation,[],[f15170]) ).
tcf(c_1249,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP17(X2,X0,X1)
| ~ l1_pre_topc(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(cnf_transformation,[],[f11463]) ).
tcf(c_1250,plain,
! [X0: $i,X1: $i] :
( m1_subset_1(k1_tops_1(X1,X0),k1_zfmisc_1(u1_struct_0(X1)))
| ~ l1_pre_topc(X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(cnf_transformation,[],[f11464]) ).
tcf(c_1251,plain,
! [X0: $i,X1: $i] :
( r1_xboole_0(k1_tops_1(X1,X0),k2_tops_1(X1,X0))
| ~ l1_pre_topc(X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(cnf_transformation,[],[f11465]) ).
tcf(c_1252,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k2_tops_1(X1,k1_tops_1(X1,X0)),k2_tops_1(X1,X0))
| ~ l1_pre_topc(X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(cnf_transformation,[],[f11466]) ).
tcf(c_1253,plain,
! [X0: $i,X1: $i] :
( ( k6_pre_topc(X1,k1_tops_1(X1,k6_pre_topc(X1,X0))) = k6_pre_topc(X1,X0) )
| ~ l1_pre_topc(X1)
| ~ v3_pre_topc(X0,X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(cnf_transformation,[],[f11467]) ).
tcf(c_1254,plain,
! [X0: $i,X1: $i] :
( ( k6_pre_topc(X1,k1_tops_1(X1,k6_pre_topc(X1,k1_tops_1(X1,X0)))) = k6_pre_topc(X1,k1_tops_1(X1,X0)) )
| ~ l1_pre_topc(X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(cnf_transformation,[],[f11468]) ).
tcf(c_1255,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(X0,k1_tops_1(X1,X2))
| ~ l1_pre_topc(X1)
| ~ v3_pre_topc(X0,X1)
| ~ r1_tarski(X0,X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(cnf_transformation,[],[f11469]) ).
tcf(c_1256,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( k1_tops_1(X3,X2) = X2 )
| ~ l1_pre_topc(X3)
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1)
| ~ v3_pre_topc(X2,X3)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X3)))
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(cnf_transformation,[],[f11471]) ).
tcf(c_1257,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v3_pre_topc(X1,X0)
| ~ l1_pre_topc(X3)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X3)))
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ( k1_tops_1(X0,X1) != X1 ) ),
inference(cnf_transformation,[],[f11470]) ).
tcf(c_1258,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r2_hidden(X3,k1_tops_1(X1,X0))
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1)
| ~ v3_pre_topc(X2,X1)
| ~ r2_hidden(X3,X2)
| ~ r1_tarski(X2,X0)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(cnf_transformation,[],[f11476]) ).
tcf(c_1259,plain,
! [X0: $i,X1: $i,X2: $i] :
( m1_subset_1(sK216(X1,X0,X2),k1_zfmisc_1(u1_struct_0(X1)))
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ r2_hidden(X0,k1_tops_1(X1,X2)) ),
inference(cnf_transformation,[],[f11475]) ).
tcf(c_1260,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_pre_topc(sK216(X1,X0,X2),X1)
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ r2_hidden(X0,k1_tops_1(X1,X2)) ),
inference(cnf_transformation,[],[f11474]) ).
tcf(c_1261,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(sK216(X1,X0,X2),X2)
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ r2_hidden(X0,k1_tops_1(X1,X2)) ),
inference(cnf_transformation,[],[f11473]) ).
tcf(c_1262,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(X0,sK216(X1,X0,X2))
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ r2_hidden(X0,k1_tops_1(X1,X2)) ),
inference(cnf_transformation,[],[f11472]) ).
tcf(c_1264,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k4_subset_1(u1_struct_0(X1),k1_tops_1(X1,X0),k1_tops_1(X1,X2)),k1_tops_1(X1,k4_subset_1(u1_struct_0(X1),X0,X2)))
| ~ l1_pre_topc(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(cnf_transformation,[],[f11478]) ).
tcf(c_1265,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k1_tops_1(X1,X0),k1_tops_1(X1,X2))
| ~ l1_pre_topc(X1)
| ~ r1_tarski(X0,X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(cnf_transformation,[],[f11479]) ).
tcf(c_1266,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k5_subset_1(u1_struct_0(X1),k1_tops_1(X1,X0),k1_tops_1(X1,X2)) = k1_tops_1(X1,k5_subset_1(u1_struct_0(X1),X0,X2)) )
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(cnf_transformation,[],[f11480]) ).
tcf(c_1267,plain,
! [X0: $i,X1: $i] :
( ( k1_tops_1(X1,k1_tops_1(X1,X0)) = k1_tops_1(X1,X0) )
| ~ l1_pre_topc(X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(cnf_transformation,[],[f11481]) ).
tcf(c_1268,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k1_tops_1(X1,X0),X0)
| ~ l1_pre_topc(X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(cnf_transformation,[],[f11482]) ).
tcf(c_1269,plain,
! [X0: $i,X1: $i] :
( ( k3_subset_1(u1_struct_0(X1),k6_pre_topc(X1,k3_subset_1(u1_struct_0(X1),X0))) = k1_tops_1(X1,X0) )
| ~ l1_pre_topc(X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(cnf_transformation,[],[f11483]) ).
tcf(c_1270,plain,
! [X0: $i,X1: $i] :
( v3_pre_topc(k1_tops_1(X1,X0),X1)
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(cnf_transformation,[],[f11484]) ).
tcf(c_1271,plain,
! [X0: $i,X1: $i,X2: $i] :
( v4_pre_topc(k4_subset_1(u1_struct_0(X1),X0,X2),X1)
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1)
| ~ v4_pre_topc(X2,X1)
| ~ v4_pre_topc(X0,X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(cnf_transformation,[],[f11485]) ).
tcf(c_1272,plain,
! [X0: $i,X1: $i,X2: $i] :
( v4_pre_topc(k5_subset_1(u1_struct_0(X1),X0,X2),X1)
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1)
| ~ v4_pre_topc(X2,X1)
| ~ v4_pre_topc(X0,X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(cnf_transformation,[],[f11486]) ).
tcf(c_1273,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k5_subset_1(u1_struct_0(X1),k6_pre_topc(X1,X0),k6_pre_topc(X1,X2)) = k6_pre_topc(X1,k5_subset_1(u1_struct_0(X1),X0,X2)) )
| ~ l1_pre_topc(X1)
| ~ v4_pre_topc(X2,X1)
| ~ v4_pre_topc(X0,X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(cnf_transformation,[],[f11487]) ).
tcf(c_1274,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k6_pre_topc(X1,X2),X0)
| ~ l1_pre_topc(X1)
| ~ v4_pre_topc(X0,X1)
| ~ r1_tarski(X2,X0)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(cnf_transformation,[],[f11488]) ).
tcf(c_1275,plain,
! [X0: $i,X1: $i] :
( v4_pre_topc(k6_pre_topc(X1,X0),X1)
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(cnf_transformation,[],[f11489]) ).
tcf(c_1276,plain,
! [X0: $i,X1: $i] :
( ( k6_pre_topc(X1,X0) = X0 )
| ~ l1_pre_topc(X1)
| ~ v4_pre_topc(X0,X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(cnf_transformation,[],[f11491]) ).
tcf(c_1277,plain,
! [X0: $i,X1: $i] :
( v4_pre_topc(X1,X0)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ( k6_pre_topc(X0,X1) != X1 ) ),
inference(cnf_transformation,[],[f11490]) ).
tcf(c_1278,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(X0,k6_pre_topc(X1,X2))
| ~ l1_pre_topc(X1)
| ~ r2_hidden(X0,u1_struct_0(X1))
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ r2_hidden(X0,sK217(X1,X2,X0)) ),
inference(cnf_transformation,[],[f11496]) ).
tcf(c_1279,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(X2,k6_pre_topc(X1,X0))
| v4_pre_topc(sK217(X1,X0,X2),X1)
| ~ l1_pre_topc(X1)
| ~ r2_hidden(X2,u1_struct_0(X1))
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(cnf_transformation,[],[f11495]) ).
tcf(c_1280,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(X2,k6_pre_topc(X1,X0))
| r1_tarski(X0,sK217(X1,X0,X2))
| ~ l1_pre_topc(X1)
| ~ r2_hidden(X2,u1_struct_0(X1))
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(cnf_transformation,[],[f11494]) ).
tcf(c_1281,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(X2,k6_pre_topc(X1,X0))
| m1_subset_1(sK217(X1,X0,X2),k1_zfmisc_1(u1_struct_0(X1)))
| ~ l1_pre_topc(X1)
| ~ r2_hidden(X2,u1_struct_0(X1))
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(cnf_transformation,[],[f11493]) ).
tcf(c_1282,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r2_hidden(X0,X3)
| ~ l1_pre_topc(X1)
| ~ v4_pre_topc(X3,X1)
| ~ r1_tarski(X2,X3)
| ~ r2_hidden(X0,u1_struct_0(X1))
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1)))
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ r2_hidden(X0,k6_pre_topc(X1,X2)) ),
inference(cnf_transformation,[],[f11492]) ).
tcf(c_1283,plain,
! [X0: $i] :
( v3_struct_0(X0)
| m1_subset_1(sK218(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) ),
inference(cnf_transformation,[],[f11499]) ).
tcf(c_1284,plain,
! [X0: $i] :
( v3_struct_0(X0)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ v1_xboole_0(sK218(X0)) ),
inference(cnf_transformation,[],[f11498]) ).
tcf(c_1285,plain,
! [X0: $i] :
( v3_struct_0(X0)
| v4_pre_topc(sK218(X0),X0)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) ),
inference(cnf_transformation,[],[f11497]) ).
tcf(c_1286,plain,
! [X0: $i] :
( m1_subset_1(sK219(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) ),
inference(cnf_transformation,[],[f11501]) ).
tcf(c_1287,plain,
! [X0: $i] :
( v4_pre_topc(sK219(X0),X0)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) ),
inference(cnf_transformation,[],[f11500]) ).
tcf(c_1288,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_xboole_0(X1)
| ( k3_tarski(k3_subset_1(X2,X0)) = k3_subset_1(X1,k3_tarski(X0)) )
| ~ m1_eqrel_1(X2,X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(X2))
| ~ m1_subset_1(k3_tarski(X0),k1_zfmisc_1(X1)) ),
inference(cnf_transformation,[],[f15171]) ).
tcf(c_1289,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X2 )
| ~ l1_struct_0(X0)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ( k3_subset_1(u1_struct_0(X0),X1) != k3_subset_1(u1_struct_0(X0),X2) ) ),
inference(cnf_transformation,[],[f11503]) ).
tcf(c_1290,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(X0,X2)
| ~ l1_struct_0(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1)))
| ~ r1_xboole_0(X0,k3_subset_1(u1_struct_0(X1),X2)) ),
inference(cnf_transformation,[],[f11505]) ).
tcf(c_1291,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_xboole_0(X0,k3_subset_1(u1_struct_0(X1),X2))
| ~ l1_struct_0(X1)
| ~ r1_tarski(X0,X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(cnf_transformation,[],[f11504]) ).
tcf(c_1292,plain,
! [X0: $i,X1: $i] :
( ( k3_subset_1(X1,k3_subset_1(X1,X0)) = X0 )
| ~ m1_subset_1(X0,k1_zfmisc_1(X1)) ),
inference(cnf_transformation,[],[f11506]) ).
tcf(c_1293,plain,
! [X0: $i,X1: $i] :
( m1_subset_1(k3_subset_1(X1,X0),k1_zfmisc_1(X1))
| ~ m1_subset_1(X0,k1_zfmisc_1(X1)) ),
inference(cnf_transformation,[],[f11507]) ).
tcf(c_1294,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r2_hidden(X0,X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| ~ r2_hidden(X0,k3_subset_1(X1,X2)) ),
inference(cnf_transformation,[],[f11508]) ).
tcf(c_1295,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(sK220(X0,X1,X2),X1)
| ( k3_subset_1(X0,X2) = X1 )
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ r2_hidden(sK220(X0,X1,X2),X2) ),
inference(cnf_transformation,[],[f11511]) ).
tcf(c_1296,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(sK220(X0,X1,X2),X2)
| ( k3_subset_1(X0,X2) = X1 )
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ r2_hidden(sK220(X0,X1,X2),X1) ),
inference(cnf_transformation,[],[f11510]) ).
tcf(c_1297,plain,
! [X0: $i,X1: $i,X2: $i] :
( m1_subset_1(sK220(X1,X0,X2),X1)
| ( k3_subset_1(X1,X2) = X0 )
| ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| ~ m1_subset_1(X0,k1_zfmisc_1(X1)) ),
inference(cnf_transformation,[],[f11509]) ).
tcf(c_1298,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(sK221(X0,X1,X2),X1)
| ( k3_subset_1(X0,X2) = X1 )
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ r2_hidden(sK221(X0,X1,X2),X2) ),
inference(cnf_transformation,[],[f11514]) ).
tcf(c_1299,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(sK221(X0,X1,X2),X2)
| ( k3_subset_1(X0,X2) = X1 )
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ r2_hidden(sK221(X0,X1,X2),X1) ),
inference(cnf_transformation,[],[f11513]) ).
tcf(c_1300,plain,
! [X0: $i,X1: $i,X2: $i] :
( m1_subset_1(sK221(X1,X0,X2),X1)
| ( k3_subset_1(X1,X2) = X0 )
| ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| ~ m1_subset_1(X0,k1_zfmisc_1(X1)) ),
inference(cnf_transformation,[],[f11512]) ).
tcf(c_1301,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(sK222(X0,X1,X2),X2)
| ( k3_subset_1(X0,X2) = X1 )
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ r2_hidden(sK222(X0,X1,X2),X1) ),
inference(cnf_transformation,[],[f11517]) ).
tcf(c_1302,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(sK222(X0,X1,X2),X1)
| ( k3_subset_1(X0,X2) = X1 )
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ r2_hidden(sK222(X0,X1,X2),X2) ),
inference(cnf_transformation,[],[f11516]) ).
tcf(c_1303,plain,
! [X0: $i,X1: $i,X2: $i] :
( m1_subset_1(sK222(X1,X0,X2),X1)
| ( k3_subset_1(X1,X2) = X0 )
| ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| ~ m1_subset_1(X0,k1_zfmisc_1(X1)) ),
inference(cnf_transformation,[],[f11515]) ).
tcf(c_1304,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(X2,X0)
| r2_hidden(X2,k3_subset_1(X1,X0))
| ( X1 = np__0 )
| ~ m1_subset_1(X2,X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(X1)) ),
inference(cnf_transformation,[],[f14417]) ).
tcf(c_1305,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_tarski(X0,k3_subset_1(X1,X3))
| ~ r1_xboole_0(X3,X2)
| ~ r1_tarski(X0,X2)
| ~ m1_subset_1(X3,k1_zfmisc_1(X1))
| ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| ~ m1_subset_1(X0,k1_zfmisc_1(X1)) ),
inference(cnf_transformation,[],[f11519]) ).
tcf(c_1306,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k3_subset_1(X0,X2) = X1 )
| ~ r1_xboole_0(X1,X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ r1_xboole_0(k3_subset_1(X0,X1),k3_subset_1(X0,X2)) ),
inference(cnf_transformation,[],[f11520]) ).
tcf(c_1307,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_xboole_0(X0,k3_subset_1(X1,X2))
| ~ r1_tarski(X0,X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| ~ m1_subset_1(X0,k1_zfmisc_1(X1)) ),
inference(cnf_transformation,[],[f11522]) ).
tcf(c_1308,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(X0,X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| ~ m1_subset_1(X0,k1_zfmisc_1(X1))
| ~ r1_xboole_0(X0,k3_subset_1(X1,X2)) ),
inference(cnf_transformation,[],[f11521]) ).
tcf(c_1309,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_xboole_0(X0,X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| ~ m1_subset_1(X0,k1_zfmisc_1(X1))
| ~ r1_tarski(X0,k3_subset_1(X1,X2)) ),
inference(cnf_transformation,[],[f11524]) ).
tcf(c_1310,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(X0,k3_subset_1(X1,X2))
| ~ r1_xboole_0(X0,X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| ~ m1_subset_1(X0,k1_zfmisc_1(X1)) ),
inference(cnf_transformation,[],[f11523]) ).
tcf(c_1311,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k3_subset_1(X1,k4_subset_1(X1,X0,X2)),k3_subset_1(X1,X0))
| ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| ~ m1_subset_1(X0,k1_zfmisc_1(X1)) ),
inference(cnf_transformation,[],[f11525]) ).
tcf(c_1312,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = np__0 )
| ~ r1_tarski(X0,X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| ~ r1_tarski(X0,k3_subset_1(X1,X2)) ),
inference(cnf_transformation,[],[f14418]) ).
tcf(c_1313,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k3_subset_1(X0,X2),X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ r1_tarski(k3_subset_1(X0,X1),X2) ),
inference(cnf_transformation,[],[f11527]) ).
tcf(c_1314,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(X2,k3_subset_1(X1,X0))
| ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| ~ m1_subset_1(X0,k1_zfmisc_1(X1))
| ~ r1_tarski(X0,k3_subset_1(X1,X2)) ),
inference(cnf_transformation,[],[f11528]) ).
tcf(c_1315,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(X2,X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ r1_tarski(k3_subset_1(X0,X1),k3_subset_1(X0,X2)) ),
inference(cnf_transformation,[],[f11530]) ).
tcf(c_1316,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k3_subset_1(X1,X2),k3_subset_1(X1,X0))
| ~ r1_tarski(X0,X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| ~ m1_subset_1(X0,k1_zfmisc_1(X1)) ),
inference(cnf_transformation,[],[f11529]) ).
tcf(c_1317,plain,
! [X0: $i,X1: $i] :
( r1_xboole_0(X0,k3_subset_1(X1,X0))
| ~ m1_subset_1(X0,k1_zfmisc_1(X1)) ),
inference(cnf_transformation,[],[f11531]) ).
tcf(c_1318,plain,
! [X0: $i,X1: $i] :
( ( k4_xboole_0(X1,X0) = k3_subset_1(X1,X0) )
| ~ m1_subset_1(X0,k1_zfmisc_1(X1)) ),
inference(cnf_transformation,[],[f11532]) ).
tcf(c_1319,plain,
! [X0: $i,X1: $i] :
( v5_membered(k1_setfam_1(X1))
| ~ v5_membered(X0)
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f11533]) ).
tcf(c_1320,plain,
! [X0: $i] :
( v5_membered(k3_tarski(X0))
| ~ v5_membered(sK223(X0)) ),
inference(cnf_transformation,[],[f11535]) ).
tcf(c_1321,plain,
! [X0: $i] :
( v5_membered(k3_tarski(X0))
| r2_hidden(sK223(X0),X0) ),
inference(cnf_transformation,[],[f11534]) ).
tcf(c_1322,plain,
! [X0: $i,X1: $i] :
( r1_xboole_0(X0,X1)
| r2_hidden(sK224(X0,X1),X0)
| ~ v5_membered(X1)
| ~ v5_membered(X0) ),
inference(cnf_transformation,[],[f11539]) ).
tcf(c_1323,plain,
! [X0: $i,X1: $i] :
( r1_xboole_0(X0,X1)
| r2_hidden(sK224(X0,X1),X1)
| ~ v5_membered(X1)
| ~ v5_membered(X0) ),
inference(cnf_transformation,[],[f11538]) ).
tcf(c_1324,plain,
! [X0: $i,X1: $i] :
( r1_xboole_0(X0,X1)
| v4_ordinal2(sK224(X0,X1))
| ~ v5_membered(X1)
| ~ v5_membered(X0) ),
inference(cnf_transformation,[],[f11537]) ).
tcf(c_1326,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ v5_membered(X1)
| ~ v5_membered(X0)
| ~ r2_hidden(sK225(X0,X1),X1)
| ~ r2_hidden(sK225(X0,X1),X0) ),
inference(cnf_transformation,[],[f11544]) ).
tcf(c_1327,plain,
! [X0: $i,X1: $i] :
( r2_hidden(sK225(X0,X1),X1)
| r2_hidden(sK225(X0,X1),X0)
| ( X0 = X1 )
| ~ v5_membered(X1)
| ~ v5_membered(X0) ),
inference(cnf_transformation,[],[f11543]) ).
tcf(c_1328,plain,
! [X0: $i,X1: $i] :
( v4_ordinal2(sK225(X0,X1))
| ( X0 = X1 )
| ~ v5_membered(X1)
| ~ v5_membered(X0) ),
inference(cnf_transformation,[],[f11542]) ).
tcf(c_1331,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,X1)
| ~ v5_membered(X1)
| ~ v5_membered(X0)
| ~ r2_hidden(sK226(X0,X1),X1) ),
inference(cnf_transformation,[],[f11548]) ).
tcf(c_1332,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,X1)
| r2_hidden(sK226(X0,X1),X0)
| ~ v5_membered(X1)
| ~ v5_membered(X0) ),
inference(cnf_transformation,[],[f11547]) ).
tcf(c_1333,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,X1)
| v4_ordinal2(sK226(X0,X1))
| ~ v5_membered(X1)
| ~ v5_membered(X0) ),
inference(cnf_transformation,[],[f11546]) ).
tcf(c_1334,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(X2,X1)
| ~ v4_ordinal2(X2)
| ~ v5_membered(X1)
| ~ v5_membered(X0)
| ~ r2_hidden(X2,X0)
| ~ r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f11545]) ).
tcf(c_1335,plain,
! [X0: $i,X1: $i] :
( v5_membered(X0)
| ~ v5_membered(X1)
| ~ r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f11549]) ).
tcf(c_1336,plain,
! [X0: $i] :
( ( X0 = k5_numbers )
| ~ v5_membered(X0)
| ~ r2_hidden(sK227(X0),X0) ),
inference(cnf_transformation,[],[f11551]) ).
tcf(c_1337,plain,
! [X0: $i] :
( v4_ordinal2(sK227(X0))
| ( X0 = k5_numbers )
| ~ v5_membered(X0) ),
inference(cnf_transformation,[],[f11550]) ).
tcf(c_1338,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| v4_ordinal2(sK228(X0))
| ~ v5_membered(X0) ),
inference(cnf_transformation,[],[f11553]) ).
tcf(c_1339,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| r2_hidden(sK228(X0),X0)
| ~ v5_membered(X0) ),
inference(cnf_transformation,[],[f11552]) ).
tcf(c_1340,plain,
! [X0: $i] :
( r1_tarski(X0,k5_numbers)
| ~ v5_membered(X0) ),
inference(cnf_transformation,[],[f11554]) ).
tcf(c_1341,plain,
! [X0: $i] :
( v5_membered(X0)
| ~ v4_ordinal2(sK229(X0)) ),
inference(cnf_transformation,[],[f11557]) ).
tcf(c_1342,plain,
! [X0: $i] :
( v5_membered(X0)
| r2_hidden(sK229(X0),X0) ),
inference(cnf_transformation,[],[f11556]) ).
tcf(c_1343,plain,
! [X0: $i,X1: $i] :
( v4_ordinal2(X0)
| ~ v5_membered(X1)
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f11555]) ).
tcf(c_1344,plain,
! [X0: $i,X1: $i] :
( v1_membered(k5_xboole_0(X0,X1))
| ~ v5_membered(X1)
| ~ v5_membered(X0) ),
inference(cnf_transformation,[],[f11562]) ).
tcf(c_1345,plain,
! [X0: $i,X1: $i] :
( v2_membered(k5_xboole_0(X0,X1))
| ~ v5_membered(X1)
| ~ v5_membered(X0) ),
inference(cnf_transformation,[],[f11561]) ).
tcf(c_1346,plain,
! [X0: $i,X1: $i] :
( v3_membered(k5_xboole_0(X0,X1))
| ~ v5_membered(X1)
| ~ v5_membered(X0) ),
inference(cnf_transformation,[],[f11560]) ).
tcf(c_1347,plain,
! [X0: $i,X1: $i] :
( v4_membered(k5_xboole_0(X0,X1))
| ~ v5_membered(X1)
| ~ v5_membered(X0) ),
inference(cnf_transformation,[],[f11559]) ).
tcf(c_1348,plain,
! [X0: $i,X1: $i] :
( v5_membered(k5_xboole_0(X0,X1))
| ~ v5_membered(X1)
| ~ v5_membered(X0) ),
inference(cnf_transformation,[],[f11558]) ).
tcf(c_1349,plain,
! [X0: $i,X1: $i] :
( v1_membered(k4_xboole_0(X0,X1))
| ~ v5_membered(X0) ),
inference(cnf_transformation,[],[f11567]) ).
tcf(c_1350,plain,
! [X0: $i,X1: $i] :
( v2_membered(k4_xboole_0(X0,X1))
| ~ v5_membered(X0) ),
inference(cnf_transformation,[],[f11566]) ).
tcf(c_1351,plain,
! [X0: $i,X1: $i] :
( v3_membered(k4_xboole_0(X0,X1))
| ~ v5_membered(X0) ),
inference(cnf_transformation,[],[f11565]) ).
tcf(c_1352,plain,
! [X0: $i,X1: $i] :
( v4_membered(k4_xboole_0(X0,X1))
| ~ v5_membered(X0) ),
inference(cnf_transformation,[],[f11564]) ).
tcf(c_1353,plain,
! [X0: $i,X1: $i] :
( v5_membered(k4_xboole_0(X0,X1))
| ~ v5_membered(X0) ),
inference(cnf_transformation,[],[f11563]) ).
tcf(c_1354,plain,
! [X0: $i,X1: $i] :
( v1_membered(k4_xboole_0(X1,k4_xboole_0(X1,X0)))
| ~ v5_membered(X0) ),
inference(cnf_transformation,[],[f14419]) ).
tcf(c_1355,plain,
! [X0: $i,X1: $i] :
( v2_membered(k4_xboole_0(X1,k4_xboole_0(X1,X0)))
| ~ v5_membered(X0) ),
inference(cnf_transformation,[],[f14420]) ).
tcf(c_1356,plain,
! [X0: $i,X1: $i] :
( v3_membered(k4_xboole_0(X1,k4_xboole_0(X1,X0)))
| ~ v5_membered(X0) ),
inference(cnf_transformation,[],[f14421]) ).
tcf(c_1357,plain,
! [X0: $i,X1: $i] :
( v4_membered(k4_xboole_0(X1,k4_xboole_0(X1,X0)))
| ~ v5_membered(X0) ),
inference(cnf_transformation,[],[f14422]) ).
tcf(c_1358,plain,
! [X0: $i,X1: $i] :
( v5_membered(k4_xboole_0(X1,k4_xboole_0(X1,X0)))
| ~ v5_membered(X0) ),
inference(cnf_transformation,[],[f14423]) ).
tcf(c_1364,plain,
! [X0: $i,X1: $i] :
( v1_membered(k3_tarski(k2_tarski(X0,X1)))
| ~ v5_membered(X1)
| ~ v5_membered(X0) ),
inference(cnf_transformation,[],[f14429]) ).
tcf(c_1365,plain,
! [X0: $i,X1: $i] :
( v2_membered(k3_tarski(k2_tarski(X0,X1)))
| ~ v5_membered(X1)
| ~ v5_membered(X0) ),
inference(cnf_transformation,[],[f14430]) ).
tcf(c_1366,plain,
! [X0: $i,X1: $i] :
( v3_membered(k3_tarski(k2_tarski(X0,X1)))
| ~ v5_membered(X1)
| ~ v5_membered(X0) ),
inference(cnf_transformation,[],[f14431]) ).
tcf(c_1367,plain,
! [X0: $i,X1: $i] :
( v4_membered(k3_tarski(k2_tarski(X0,X1)))
| ~ v5_membered(X1)
| ~ v5_membered(X0) ),
inference(cnf_transformation,[],[f14432]) ).
tcf(c_1368,plain,
! [X0: $i,X1: $i] :
( v5_membered(k3_tarski(k2_tarski(X0,X1)))
| ~ v5_membered(X1)
| ~ v5_membered(X0) ),
inference(cnf_transformation,[],[f14433]) ).
tcf(c_1369,plain,
! [X0: $i,X1: $i] :
( v1_membered(X0)
| ~ v5_membered(X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(X1)) ),
inference(cnf_transformation,[],[f11587]) ).
tcf(c_1370,plain,
! [X0: $i,X1: $i] :
( v2_membered(X0)
| ~ v5_membered(X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(X1)) ),
inference(cnf_transformation,[],[f11586]) ).
tcf(c_1371,plain,
! [X0: $i,X1: $i] :
( v3_membered(X0)
| ~ v5_membered(X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(X1)) ),
inference(cnf_transformation,[],[f11585]) ).
tcf(c_1372,plain,
! [X0: $i,X1: $i] :
( v4_membered(X0)
| ~ v5_membered(X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(X1)) ),
inference(cnf_transformation,[],[f11584]) ).
tcf(c_1374,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_membered(k2_enumset1(X0,X0,X1,X2))
| ~ v4_ordinal2(X2)
| ~ v4_ordinal2(X1)
| ~ v4_ordinal2(X0) ),
inference(cnf_transformation,[],[f14434]) ).
tcf(c_1375,plain,
! [X0: $i,X1: $i,X2: $i] :
( v2_membered(k2_enumset1(X0,X0,X1,X2))
| ~ v4_ordinal2(X2)
| ~ v4_ordinal2(X1)
| ~ v4_ordinal2(X0) ),
inference(cnf_transformation,[],[f14435]) ).
tcf(c_1376,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_membered(k2_enumset1(X0,X0,X1,X2))
| ~ v4_ordinal2(X2)
| ~ v4_ordinal2(X1)
| ~ v4_ordinal2(X0) ),
inference(cnf_transformation,[],[f14436]) ).
tcf(c_1377,plain,
! [X0: $i,X1: $i,X2: $i] :
( v4_membered(k2_enumset1(X0,X0,X1,X2))
| ~ v4_ordinal2(X2)
| ~ v4_ordinal2(X1)
| ~ v4_ordinal2(X0) ),
inference(cnf_transformation,[],[f14437]) ).
tcf(c_1378,plain,
! [X0: $i,X1: $i,X2: $i] :
( v5_membered(k2_enumset1(X0,X0,X1,X2))
| ~ v4_ordinal2(X2)
| ~ v4_ordinal2(X1)
| ~ v4_ordinal2(X0) ),
inference(cnf_transformation,[],[f14438]) ).
tcf(c_1379,plain,
! [X0: $i,X1: $i] :
( v1_membered(k2_tarski(X0,X1))
| ~ v4_ordinal2(X1)
| ~ v4_ordinal2(X0) ),
inference(cnf_transformation,[],[f11597]) ).
tcf(c_1380,plain,
! [X0: $i,X1: $i] :
( v2_membered(k2_tarski(X0,X1))
| ~ v4_ordinal2(X1)
| ~ v4_ordinal2(X0) ),
inference(cnf_transformation,[],[f11596]) ).
tcf(c_1381,plain,
! [X0: $i,X1: $i] :
( v3_membered(k2_tarski(X0,X1))
| ~ v4_ordinal2(X1)
| ~ v4_ordinal2(X0) ),
inference(cnf_transformation,[],[f11595]) ).
tcf(c_1382,plain,
! [X0: $i,X1: $i] :
( v4_membered(k2_tarski(X0,X1))
| ~ v4_ordinal2(X1)
| ~ v4_ordinal2(X0) ),
inference(cnf_transformation,[],[f11594]) ).
tcf(c_1383,plain,
! [X0: $i,X1: $i] :
( v5_membered(k2_tarski(X0,X1))
| ~ v4_ordinal2(X1)
| ~ v4_ordinal2(X0) ),
inference(cnf_transformation,[],[f11593]) ).
tcf(c_1384,plain,
! [X0: $i] :
( v1_membered(k2_enumset1(X0,X0,X0,X0))
| ~ v4_ordinal2(X0) ),
inference(cnf_transformation,[],[f14439]) ).
tcf(c_1385,plain,
! [X0: $i] :
( v2_membered(k2_enumset1(X0,X0,X0,X0))
| ~ v4_ordinal2(X0) ),
inference(cnf_transformation,[],[f14440]) ).
tcf(c_1386,plain,
! [X0: $i] :
( v3_membered(k2_enumset1(X0,X0,X0,X0))
| ~ v4_ordinal2(X0) ),
inference(cnf_transformation,[],[f14441]) ).
tcf(c_1387,plain,
! [X0: $i] :
( v4_membered(k2_enumset1(X0,X0,X0,X0))
| ~ v4_ordinal2(X0) ),
inference(cnf_transformation,[],[f14442]) ).
tcf(c_1388,plain,
! [X0: $i] :
( v5_membered(k2_enumset1(X0,X0,X0,X0))
| ~ v4_ordinal2(X0) ),
inference(cnf_transformation,[],[f14443]) ).
tcf(c_1389,plain,
! [X0: $i] :
( v1_membered(X0)
| ~ v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f11607]) ).
tcf(c_1390,plain,
! [X0: $i] :
( v2_membered(X0)
| ~ v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f11606]) ).
tcf(c_1391,plain,
! [X0: $i] :
( v3_membered(X0)
| ~ v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f11605]) ).
tcf(c_1392,plain,
! [X0: $i] :
( v4_membered(X0)
| ~ v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f11604]) ).
tcf(c_1393,plain,
! [X0: $i] :
( v5_membered(X0)
| ~ v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f11603]) ).
tcf(c_1395,plain,
v1_membered(np__0),
inference(cnf_transformation,[],[f14445]) ).
tcf(c_1396,plain,
v2_membered(np__0),
inference(cnf_transformation,[],[f14446]) ).
tcf(c_1397,plain,
v3_membered(np__0),
inference(cnf_transformation,[],[f14447]) ).
tcf(c_1398,plain,
v4_membered(np__0),
inference(cnf_transformation,[],[f14448]) ).
tcf(c_1399,plain,
v5_membered(np__0),
inference(cnf_transformation,[],[f14449]) ).
tcf(c_1400,plain,
! [X0: $i] :
( v1_membered(X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(k5_numbers)) ),
inference(cnf_transformation,[],[f11618]) ).
tcf(c_1401,plain,
! [X0: $i] :
( v2_membered(X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(k5_numbers)) ),
inference(cnf_transformation,[],[f11617]) ).
tcf(c_1402,plain,
! [X0: $i] :
( v3_membered(X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(k5_numbers)) ),
inference(cnf_transformation,[],[f11616]) ).
tcf(c_1403,plain,
! [X0: $i] :
( v4_membered(X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(k5_numbers)) ),
inference(cnf_transformation,[],[f11615]) ).
tcf(c_1404,plain,
! [X0: $i] :
( v5_membered(X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(k5_numbers)) ),
inference(cnf_transformation,[],[f11614]) ).
tcf(c_1405,plain,
~ v1_xboole_0(sK230),
inference(cnf_transformation,[],[f11624]) ).
tcf(c_1406,plain,
v1_membered(sK230),
inference(cnf_transformation,[],[f11623]) ).
tcf(c_1407,plain,
v2_membered(sK230),
inference(cnf_transformation,[],[f11622]) ).
tcf(c_1408,plain,
v3_membered(sK230),
inference(cnf_transformation,[],[f11621]) ).
tcf(c_1409,plain,
v4_membered(sK230),
inference(cnf_transformation,[],[f11620]) ).
tcf(c_1410,plain,
v5_membered(sK230),
inference(cnf_transformation,[],[f11619]) ).
tcf(c_1411,plain,
! [X0: $i] :
( v4_membered(X0)
| ~ v5_membered(X0) ),
inference(cnf_transformation,[],[f11625]) ).
tcf(c_1412,plain,
! [X0: $i] :
( v4_membered(k3_tarski(X0))
| ~ v4_membered(sK231(X0)) ),
inference(cnf_transformation,[],[f11627]) ).
tcf(c_1413,plain,
! [X0: $i] :
( v4_membered(k3_tarski(X0))
| r2_hidden(sK231(X0),X0) ),
inference(cnf_transformation,[],[f11626]) ).
tcf(c_1414,plain,
! [X0: $i,X1: $i] :
( r1_xboole_0(X0,X1)
| r2_hidden(sK232(X0,X1),X0)
| ~ v4_membered(X1)
| ~ v4_membered(X0) ),
inference(cnf_transformation,[],[f11631]) ).
tcf(c_1415,plain,
! [X0: $i,X1: $i] :
( r1_xboole_0(X0,X1)
| r2_hidden(sK232(X0,X1),X1)
| ~ v4_membered(X1)
| ~ v4_membered(X0) ),
inference(cnf_transformation,[],[f11630]) ).
tcf(c_1416,plain,
! [X0: $i,X1: $i] :
( r1_xboole_0(X0,X1)
| v1_int_1(sK232(X0,X1))
| ~ v4_membered(X1)
| ~ v4_membered(X0) ),
inference(cnf_transformation,[],[f11629]) ).
tcf(c_1418,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ v4_membered(X1)
| ~ v4_membered(X0)
| ~ r2_hidden(sK233(X0,X1),X1)
| ~ r2_hidden(sK233(X0,X1),X0) ),
inference(cnf_transformation,[],[f11636]) ).
tcf(c_1419,plain,
! [X0: $i,X1: $i] :
( r2_hidden(sK233(X0,X1),X1)
| r2_hidden(sK233(X0,X1),X0)
| ( X0 = X1 )
| ~ v4_membered(X1)
| ~ v4_membered(X0) ),
inference(cnf_transformation,[],[f11635]) ).
tcf(c_1420,plain,
! [X0: $i,X1: $i] :
( v1_int_1(sK233(X0,X1))
| ( X0 = X1 )
| ~ v4_membered(X1)
| ~ v4_membered(X0) ),
inference(cnf_transformation,[],[f11634]) ).
tcf(c_1423,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,X1)
| ~ v4_membered(X1)
| ~ v4_membered(X0)
| ~ r2_hidden(sK234(X0,X1),X1) ),
inference(cnf_transformation,[],[f11640]) ).
tcf(c_1424,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,X1)
| r2_hidden(sK234(X0,X1),X0)
| ~ v4_membered(X1)
| ~ v4_membered(X0) ),
inference(cnf_transformation,[],[f11639]) ).
tcf(c_1425,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,X1)
| v1_int_1(sK234(X0,X1))
| ~ v4_membered(X1)
| ~ v4_membered(X0) ),
inference(cnf_transformation,[],[f11638]) ).
tcf(c_1427,plain,
! [X0: $i,X1: $i] :
( v4_membered(X0)
| ~ v4_membered(X1)
| ~ r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f11641]) ).
tcf(c_1428,plain,
! [X0: $i] :
( ( X0 = k4_numbers )
| ~ v4_membered(X0)
| ~ r2_hidden(sK235(X0),X0) ),
inference(cnf_transformation,[],[f11643]) ).
tcf(c_1429,plain,
! [X0: $i] :
( v1_int_1(sK235(X0))
| ( X0 = k4_numbers )
| ~ v4_membered(X0) ),
inference(cnf_transformation,[],[f11642]) ).
tcf(c_1430,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| v1_int_1(sK236(X0))
| ~ v4_membered(X0) ),
inference(cnf_transformation,[],[f11645]) ).
tcf(c_1431,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| r2_hidden(sK236(X0),X0)
| ~ v4_membered(X0) ),
inference(cnf_transformation,[],[f11644]) ).
tcf(c_1432,plain,
! [X0: $i] :
( r1_tarski(X0,k4_numbers)
| ~ v4_membered(X0) ),
inference(cnf_transformation,[],[f11646]) ).
tcf(c_1433,plain,
! [X0: $i] :
( v4_membered(X0)
| ~ v1_int_1(sK237(X0)) ),
inference(cnf_transformation,[],[f11649]) ).
tcf(c_1434,plain,
! [X0: $i] :
( v4_membered(X0)
| r2_hidden(sK237(X0),X0) ),
inference(cnf_transformation,[],[f11648]) ).
tcf(c_1435,plain,
! [X0: $i,X1: $i] :
( v1_int_1(X0)
| ~ v4_membered(X1)
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f11647]) ).
tcf(c_1436,plain,
! [X0: $i,X1: $i] :
( v1_membered(k5_xboole_0(X0,X1))
| ~ v4_membered(X1)
| ~ v4_membered(X0) ),
inference(cnf_transformation,[],[f11653]) ).
tcf(c_1437,plain,
! [X0: $i,X1: $i] :
( v2_membered(k5_xboole_0(X0,X1))
| ~ v4_membered(X1)
| ~ v4_membered(X0) ),
inference(cnf_transformation,[],[f11652]) ).
tcf(c_1438,plain,
! [X0: $i,X1: $i] :
( v3_membered(k5_xboole_0(X0,X1))
| ~ v4_membered(X1)
| ~ v4_membered(X0) ),
inference(cnf_transformation,[],[f11651]) ).
tcf(c_1439,plain,
! [X0: $i,X1: $i] :
( v4_membered(k5_xboole_0(X0,X1))
| ~ v4_membered(X1)
| ~ v4_membered(X0) ),
inference(cnf_transformation,[],[f11650]) ).
tcf(c_1440,plain,
! [X0: $i,X1: $i] :
( v1_membered(k4_xboole_0(X0,X1))
| ~ v4_membered(X0) ),
inference(cnf_transformation,[],[f11657]) ).
tcf(c_1441,plain,
! [X0: $i,X1: $i] :
( v2_membered(k4_xboole_0(X0,X1))
| ~ v4_membered(X0) ),
inference(cnf_transformation,[],[f11656]) ).
tcf(c_1442,plain,
! [X0: $i,X1: $i] :
( v3_membered(k4_xboole_0(X0,X1))
| ~ v4_membered(X0) ),
inference(cnf_transformation,[],[f11655]) ).
tcf(c_1443,plain,
! [X0: $i,X1: $i] :
( v4_membered(k4_xboole_0(X0,X1))
| ~ v4_membered(X0) ),
inference(cnf_transformation,[],[f11654]) ).
tcf(c_1444,plain,
! [X0: $i,X1: $i] :
( v1_membered(k4_xboole_0(X1,k4_xboole_0(X1,X0)))
| ~ v4_membered(X0) ),
inference(cnf_transformation,[],[f14450]) ).
tcf(c_1445,plain,
! [X0: $i,X1: $i] :
( v2_membered(k4_xboole_0(X1,k4_xboole_0(X1,X0)))
| ~ v4_membered(X0) ),
inference(cnf_transformation,[],[f14451]) ).
tcf(c_1446,plain,
! [X0: $i,X1: $i] :
( v3_membered(k4_xboole_0(X1,k4_xboole_0(X1,X0)))
| ~ v4_membered(X0) ),
inference(cnf_transformation,[],[f14452]) ).
tcf(c_1447,plain,
! [X0: $i,X1: $i] :
( v4_membered(k4_xboole_0(X1,k4_xboole_0(X1,X0)))
| ~ v4_membered(X0) ),
inference(cnf_transformation,[],[f14453]) ).
tcf(c_1452,plain,
! [X0: $i,X1: $i] :
( v1_membered(k3_tarski(k2_tarski(X0,X1)))
| ~ v4_membered(X1)
| ~ v4_membered(X0) ),
inference(cnf_transformation,[],[f14458]) ).
tcf(c_1453,plain,
! [X0: $i,X1: $i] :
( v2_membered(k3_tarski(k2_tarski(X0,X1)))
| ~ v4_membered(X1)
| ~ v4_membered(X0) ),
inference(cnf_transformation,[],[f14459]) ).
tcf(c_1454,plain,
! [X0: $i,X1: $i] :
( v3_membered(k3_tarski(k2_tarski(X0,X1)))
| ~ v4_membered(X1)
| ~ v4_membered(X0) ),
inference(cnf_transformation,[],[f14460]) ).
tcf(c_1455,plain,
! [X0: $i,X1: $i] :
( v4_membered(k3_tarski(k2_tarski(X0,X1)))
| ~ v4_membered(X1)
| ~ v4_membered(X0) ),
inference(cnf_transformation,[],[f14461]) ).
tcf(c_1456,plain,
! [X0: $i,X1: $i] :
( v1_membered(X0)
| ~ v4_membered(X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(X1)) ),
inference(cnf_transformation,[],[f11673]) ).
tcf(c_1457,plain,
! [X0: $i,X1: $i] :
( v2_membered(X0)
| ~ v4_membered(X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(X1)) ),
inference(cnf_transformation,[],[f11672]) ).
tcf(c_1458,plain,
! [X0: $i,X1: $i] :
( v3_membered(X0)
| ~ v4_membered(X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(X1)) ),
inference(cnf_transformation,[],[f11671]) ).
tcf(c_1460,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_membered(k2_enumset1(X0,X0,X1,X2))
| ~ v1_int_1(X2)
| ~ v1_int_1(X1)
| ~ v1_int_1(X0) ),
inference(cnf_transformation,[],[f14462]) ).
tcf(c_1461,plain,
! [X0: $i,X1: $i,X2: $i] :
( v2_membered(k2_enumset1(X0,X0,X1,X2))
| ~ v1_int_1(X2)
| ~ v1_int_1(X1)
| ~ v1_int_1(X0) ),
inference(cnf_transformation,[],[f14463]) ).
tcf(c_1462,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_membered(k2_enumset1(X0,X0,X1,X2))
| ~ v1_int_1(X2)
| ~ v1_int_1(X1)
| ~ v1_int_1(X0) ),
inference(cnf_transformation,[],[f14464]) ).
tcf(c_1463,plain,
! [X0: $i,X1: $i,X2: $i] :
( v4_membered(k2_enumset1(X0,X0,X1,X2))
| ~ v1_int_1(X2)
| ~ v1_int_1(X1)
| ~ v1_int_1(X0) ),
inference(cnf_transformation,[],[f14465]) ).
tcf(c_1464,plain,
! [X0: $i,X1: $i] :
( v1_membered(k2_tarski(X0,X1))
| ~ v1_int_1(X1)
| ~ v1_int_1(X0) ),
inference(cnf_transformation,[],[f11681]) ).
tcf(c_1465,plain,
! [X0: $i,X1: $i] :
( v2_membered(k2_tarski(X0,X1))
| ~ v1_int_1(X1)
| ~ v1_int_1(X0) ),
inference(cnf_transformation,[],[f11680]) ).
tcf(c_1466,plain,
! [X0: $i,X1: $i] :
( v3_membered(k2_tarski(X0,X1))
| ~ v1_int_1(X1)
| ~ v1_int_1(X0) ),
inference(cnf_transformation,[],[f11679]) ).
tcf(c_1467,plain,
! [X0: $i,X1: $i] :
( v4_membered(k2_tarski(X0,X1))
| ~ v1_int_1(X1)
| ~ v1_int_1(X0) ),
inference(cnf_transformation,[],[f11678]) ).
tcf(c_1468,plain,
! [X0: $i] :
( v1_membered(k2_enumset1(X0,X0,X0,X0))
| ~ v1_int_1(X0) ),
inference(cnf_transformation,[],[f14466]) ).
tcf(c_1469,plain,
! [X0: $i] :
( v2_membered(k2_enumset1(X0,X0,X0,X0))
| ~ v1_int_1(X0) ),
inference(cnf_transformation,[],[f14467]) ).
tcf(c_1470,plain,
! [X0: $i] :
( v3_membered(k2_enumset1(X0,X0,X0,X0))
| ~ v1_int_1(X0) ),
inference(cnf_transformation,[],[f14468]) ).
tcf(c_1471,plain,
! [X0: $i] :
( v4_membered(k2_enumset1(X0,X0,X0,X0))
| ~ v1_int_1(X0) ),
inference(cnf_transformation,[],[f14469]) ).
tcf(c_1473,plain,
v1_membered(k4_numbers),
inference(cnf_transformation,[],[f11689]) ).
tcf(c_1474,plain,
v2_membered(k4_numbers),
inference(cnf_transformation,[],[f11688]) ).
tcf(c_1475,plain,
v3_membered(k4_numbers),
inference(cnf_transformation,[],[f11687]) ).
tcf(c_1476,plain,
v4_membered(k4_numbers),
inference(cnf_transformation,[],[f11686]) ).
tcf(c_1477,plain,
! [X0: $i] :
( v1_membered(X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(k4_numbers)) ),
inference(cnf_transformation,[],[f11694]) ).
tcf(c_1478,plain,
! [X0: $i] :
( v2_membered(X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(k4_numbers)) ),
inference(cnf_transformation,[],[f11693]) ).
tcf(c_1479,plain,
! [X0: $i] :
( v3_membered(X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(k4_numbers)) ),
inference(cnf_transformation,[],[f11692]) ).
tcf(c_1480,plain,
! [X0: $i] :
( v4_membered(X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(k4_numbers)) ),
inference(cnf_transformation,[],[f11691]) ).
tcf(c_1481,plain,
! [X0: $i] :
( v3_membered(X0)
| ~ v4_membered(X0) ),
inference(cnf_transformation,[],[f11695]) ).
tcf(c_1482,plain,
! [X0: $i] :
( v3_membered(k3_tarski(X0))
| ~ v3_membered(sK238(X0)) ),
inference(cnf_transformation,[],[f11697]) ).
tcf(c_1483,plain,
! [X0: $i] :
( v3_membered(k3_tarski(X0))
| r2_hidden(sK238(X0),X0) ),
inference(cnf_transformation,[],[f11696]) ).
tcf(c_1484,plain,
! [X0: $i,X1: $i] :
( v3_membered(X0)
| ~ v3_membered(X1)
| ~ r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f11698]) ).
tcf(c_1485,plain,
! [X0: $i] :
( r1_tarski(X0,k3_numbers)
| ~ v3_membered(X0) ),
inference(cnf_transformation,[],[f11699]) ).
tcf(c_1486,plain,
! [X0: $i,X1: $i] :
( v1_membered(k5_xboole_0(X0,X1))
| ~ v3_membered(X1)
| ~ v3_membered(X0) ),
inference(cnf_transformation,[],[f11702]) ).
tcf(c_1487,plain,
! [X0: $i,X1: $i] :
( v2_membered(k5_xboole_0(X0,X1))
| ~ v3_membered(X1)
| ~ v3_membered(X0) ),
inference(cnf_transformation,[],[f11701]) ).
tcf(c_1488,plain,
! [X0: $i,X1: $i] :
( v3_membered(k5_xboole_0(X0,X1))
| ~ v3_membered(X1)
| ~ v3_membered(X0) ),
inference(cnf_transformation,[],[f11700]) ).
tcf(c_1489,plain,
! [X0: $i,X1: $i] :
( v1_membered(k4_xboole_0(X0,X1))
| ~ v3_membered(X0) ),
inference(cnf_transformation,[],[f11705]) ).
tcf(c_1490,plain,
! [X0: $i,X1: $i] :
( v2_membered(k4_xboole_0(X0,X1))
| ~ v3_membered(X0) ),
inference(cnf_transformation,[],[f11704]) ).
tcf(c_1491,plain,
! [X0: $i,X1: $i] :
( v3_membered(k4_xboole_0(X0,X1))
| ~ v3_membered(X0) ),
inference(cnf_transformation,[],[f11703]) ).
tcf(c_1492,plain,
! [X0: $i,X1: $i] :
( v1_membered(k4_xboole_0(X1,k4_xboole_0(X1,X0)))
| ~ v3_membered(X0) ),
inference(cnf_transformation,[],[f14470]) ).
tcf(c_1493,plain,
! [X0: $i,X1: $i] :
( v2_membered(k4_xboole_0(X1,k4_xboole_0(X1,X0)))
| ~ v3_membered(X0) ),
inference(cnf_transformation,[],[f14471]) ).
tcf(c_1494,plain,
! [X0: $i,X1: $i] :
( v3_membered(k4_xboole_0(X1,k4_xboole_0(X1,X0)))
| ~ v3_membered(X0) ),
inference(cnf_transformation,[],[f14472]) ).
tcf(c_1498,plain,
! [X0: $i,X1: $i] :
( v1_membered(k3_tarski(k2_tarski(X0,X1)))
| ~ v3_membered(X1)
| ~ v3_membered(X0) ),
inference(cnf_transformation,[],[f14476]) ).
tcf(c_1499,plain,
! [X0: $i,X1: $i] :
( v2_membered(k3_tarski(k2_tarski(X0,X1)))
| ~ v3_membered(X1)
| ~ v3_membered(X0) ),
inference(cnf_transformation,[],[f14477]) ).
tcf(c_1500,plain,
! [X0: $i,X1: $i] :
( v3_membered(k3_tarski(k2_tarski(X0,X1)))
| ~ v3_membered(X1)
| ~ v3_membered(X0) ),
inference(cnf_transformation,[],[f14478]) ).
tcf(c_1501,plain,
! [X0: $i,X1: $i] :
( v1_membered(X0)
| ~ v3_membered(X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(X1)) ),
inference(cnf_transformation,[],[f11717]) ).
tcf(c_1502,plain,
! [X0: $i,X1: $i] :
( v2_membered(X0)
| ~ v3_membered(X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(X1)) ),
inference(cnf_transformation,[],[f11716]) ).
tcf(c_1505,plain,
v1_membered(k3_numbers),
inference(cnf_transformation,[],[f11720]) ).
tcf(c_1506,plain,
v2_membered(k3_numbers),
inference(cnf_transformation,[],[f11719]) ).
tcf(c_1507,plain,
v3_membered(k3_numbers),
inference(cnf_transformation,[],[f11718]) ).
tcf(c_1508,plain,
! [X0: $i] :
( v1_membered(X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(k3_numbers)) ),
inference(cnf_transformation,[],[f11724]) ).
tcf(c_1509,plain,
! [X0: $i] :
( v2_membered(X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(k3_numbers)) ),
inference(cnf_transformation,[],[f11723]) ).
tcf(c_1510,plain,
! [X0: $i] :
( v3_membered(X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(k3_numbers)) ),
inference(cnf_transformation,[],[f11722]) ).
tcf(c_1511,plain,
! [X0: $i] :
( v2_membered(X0)
| ~ v3_membered(X0) ),
inference(cnf_transformation,[],[f11725]) ).
tcf(c_1512,plain,
! [X0: $i] :
( v2_membered(k3_tarski(X0))
| ~ v2_membered(sK239(X0)) ),
inference(cnf_transformation,[],[f11727]) ).
tcf(c_1513,plain,
! [X0: $i] :
( v2_membered(k3_tarski(X0))
| r2_hidden(sK239(X0),X0) ),
inference(cnf_transformation,[],[f11726]) ).
tcf(c_1514,plain,
! [X0: $i,X1: $i] :
( r1_xboole_0(X0,X1)
| r2_hidden(sK240(X0,X1),X0)
| ~ v2_membered(X1)
| ~ v2_membered(X0) ),
inference(cnf_transformation,[],[f11731]) ).
tcf(c_1515,plain,
! [X0: $i,X1: $i] :
( r1_xboole_0(X0,X1)
| r2_hidden(sK240(X0,X1),X1)
| ~ v2_membered(X1)
| ~ v2_membered(X0) ),
inference(cnf_transformation,[],[f11730]) ).
tcf(c_1516,plain,
! [X0: $i,X1: $i] :
( r1_xboole_0(X0,X1)
| v1_xreal_0(sK240(X0,X1))
| ~ v2_membered(X1)
| ~ v2_membered(X0) ),
inference(cnf_transformation,[],[f11729]) ).
tcf(c_1518,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ v2_membered(X1)
| ~ v2_membered(X0)
| ~ r2_hidden(sK241(X0,X1),X1)
| ~ r2_hidden(sK241(X0,X1),X0) ),
inference(cnf_transformation,[],[f11736]) ).
tcf(c_1519,plain,
! [X0: $i,X1: $i] :
( r2_hidden(sK241(X0,X1),X1)
| r2_hidden(sK241(X0,X1),X0)
| ( X0 = X1 )
| ~ v2_membered(X1)
| ~ v2_membered(X0) ),
inference(cnf_transformation,[],[f11735]) ).
tcf(c_1520,plain,
! [X0: $i,X1: $i] :
( v1_xreal_0(sK241(X0,X1))
| ( X0 = X1 )
| ~ v2_membered(X1)
| ~ v2_membered(X0) ),
inference(cnf_transformation,[],[f11734]) ).
tcf(c_1523,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,X1)
| ~ v2_membered(X1)
| ~ v2_membered(X0)
| ~ r2_hidden(sK242(X0,X1),X1) ),
inference(cnf_transformation,[],[f11740]) ).
tcf(c_1524,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,X1)
| r2_hidden(sK242(X0,X1),X0)
| ~ v2_membered(X1)
| ~ v2_membered(X0) ),
inference(cnf_transformation,[],[f11739]) ).
tcf(c_1525,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,X1)
| v1_xreal_0(sK242(X0,X1))
| ~ v2_membered(X1)
| ~ v2_membered(X0) ),
inference(cnf_transformation,[],[f11738]) ).
tcf(c_1527,plain,
! [X0: $i,X1: $i] :
( v2_membered(X0)
| ~ v2_membered(X1)
| ~ r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f11741]) ).
tcf(c_1528,plain,
! [X0: $i] :
( ( X0 = k1_numbers )
| ~ v2_membered(X0)
| ~ r2_hidden(sK243(X0),X0) ),
inference(cnf_transformation,[],[f11743]) ).
tcf(c_1529,plain,
! [X0: $i] :
( v1_xreal_0(sK243(X0))
| ( X0 = k1_numbers )
| ~ v2_membered(X0) ),
inference(cnf_transformation,[],[f11742]) ).
tcf(c_1530,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| v1_xreal_0(sK244(X0))
| ~ v2_membered(X0) ),
inference(cnf_transformation,[],[f11745]) ).
tcf(c_1531,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| r2_hidden(sK244(X0),X0)
| ~ v2_membered(X0) ),
inference(cnf_transformation,[],[f11744]) ).
tcf(c_1532,plain,
! [X0: $i] :
( r1_tarski(X0,k1_numbers)
| ~ v2_membered(X0) ),
inference(cnf_transformation,[],[f11746]) ).
tcf(c_1533,plain,
! [X0: $i] :
( v2_membered(X0)
| ~ v1_xreal_0(sK245(X0)) ),
inference(cnf_transformation,[],[f11749]) ).
tcf(c_1534,plain,
! [X0: $i] :
( v2_membered(X0)
| r2_hidden(sK245(X0),X0) ),
inference(cnf_transformation,[],[f11748]) ).
tcf(c_1535,plain,
! [X0: $i,X1: $i] :
( v1_xreal_0(X0)
| ~ v2_membered(X1)
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f11747]) ).
tcf(c_1536,plain,
! [X0: $i,X1: $i] :
( v1_membered(k4_xboole_0(X0,X1))
| ~ v2_membered(X0) ),
inference(cnf_transformation,[],[f11751]) ).
tcf(c_1537,plain,
! [X0: $i,X1: $i] :
( v2_membered(k4_xboole_0(X0,X1))
| ~ v2_membered(X0) ),
inference(cnf_transformation,[],[f11750]) ).
tcf(c_1538,plain,
! [X0: $i,X1: $i] :
( v1_membered(k4_xboole_0(X1,k4_xboole_0(X1,X0)))
| ~ v2_membered(X0) ),
inference(cnf_transformation,[],[f14479]) ).
tcf(c_1539,plain,
! [X0: $i,X1: $i] :
( v2_membered(k4_xboole_0(X1,k4_xboole_0(X1,X0)))
| ~ v2_membered(X0) ),
inference(cnf_transformation,[],[f14480]) ).
tcf(c_1542,plain,
! [X0: $i,X1: $i] :
( v1_membered(k3_tarski(k2_tarski(X0,X1)))
| ~ v2_membered(X1)
| ~ v2_membered(X0) ),
inference(cnf_transformation,[],[f14483]) ).
tcf(c_1543,plain,
! [X0: $i,X1: $i] :
( v2_membered(k3_tarski(k2_tarski(X0,X1)))
| ~ v2_membered(X1)
| ~ v2_membered(X0) ),
inference(cnf_transformation,[],[f14484]) ).
tcf(c_1544,plain,
! [X0: $i,X1: $i] :
( v1_membered(X0)
| ~ v2_membered(X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(X1)) ),
inference(cnf_transformation,[],[f11759]) ).
tcf(c_1546,plain,
! [X0: $i,X1: $i] :
( v1_membered(k2_tarski(X0,X1))
| ~ v1_xreal_0(X1)
| ~ v1_xreal_0(X0) ),
inference(cnf_transformation,[],[f11761]) ).
tcf(c_1547,plain,
! [X0: $i,X1: $i] :
( v2_membered(k2_tarski(X0,X1))
| ~ v1_xreal_0(X1)
| ~ v1_xreal_0(X0) ),
inference(cnf_transformation,[],[f11760]) ).
tcf(c_1548,plain,
! [X0: $i] :
( v1_membered(k2_enumset1(X0,X0,X0,X0))
| ~ v1_xreal_0(X0) ),
inference(cnf_transformation,[],[f14485]) ).
tcf(c_1549,plain,
! [X0: $i] :
( v2_membered(k2_enumset1(X0,X0,X0,X0))
| ~ v1_xreal_0(X0) ),
inference(cnf_transformation,[],[f14486]) ).
tcf(c_1550,plain,
! [X0: $i,X1: $i] :
( v1_xcmplx_0(X0)
| ~ v2_membered(X1)
| ~ m1_subset_1(X0,X1) ),
inference(cnf_transformation,[],[f11765]) ).
tcf(c_1551,plain,
! [X0: $i,X1: $i] :
( v1_xreal_0(X0)
| ~ v2_membered(X1)
| ~ m1_subset_1(X0,X1) ),
inference(cnf_transformation,[],[f11764]) ).
tcf(c_1553,plain,
v1_membered(k1_numbers),
inference(cnf_transformation,[],[f11767]) ).
tcf(c_1554,plain,
v2_membered(k1_numbers),
inference(cnf_transformation,[],[f11766]) ).
tcf(c_1555,plain,
! [X0: $i] :
( v1_membered(X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(k1_numbers)) ),
inference(cnf_transformation,[],[f11770]) ).
tcf(c_1556,plain,
! [X0: $i] :
( v2_membered(X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(k1_numbers)) ),
inference(cnf_transformation,[],[f11769]) ).
tcf(c_1557,plain,
! [X0: $i] :
( v1_membered(X0)
| ~ v2_membered(X0) ),
inference(cnf_transformation,[],[f11771]) ).
tcf(c_1558,plain,
! [X0: $i] :
( v1_membered(k3_tarski(X0))
| ~ v1_membered(sK246(X0)) ),
inference(cnf_transformation,[],[f11773]) ).
tcf(c_1559,plain,
! [X0: $i] :
( v1_membered(k3_tarski(X0))
| r2_hidden(sK246(X0),X0) ),
inference(cnf_transformation,[],[f11772]) ).
tcf(c_1560,plain,
! [X0: $i,X1: $i] :
( r1_xboole_0(X0,X1)
| r2_hidden(sK247(X0,X1),X0)
| ~ v1_membered(X1)
| ~ v1_membered(X0) ),
inference(cnf_transformation,[],[f11777]) ).
tcf(c_1561,plain,
! [X0: $i,X1: $i] :
( r1_xboole_0(X0,X1)
| r2_hidden(sK247(X0,X1),X1)
| ~ v1_membered(X1)
| ~ v1_membered(X0) ),
inference(cnf_transformation,[],[f11776]) ).
tcf(c_1562,plain,
! [X0: $i,X1: $i] :
( r1_xboole_0(X0,X1)
| v1_xcmplx_0(sK247(X0,X1))
| ~ v1_membered(X1)
| ~ v1_membered(X0) ),
inference(cnf_transformation,[],[f11775]) ).
tcf(c_1564,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ v1_membered(X1)
| ~ v1_membered(X0)
| ~ r2_hidden(sK248(X0,X1),X1)
| ~ r2_hidden(sK248(X0,X1),X0) ),
inference(cnf_transformation,[],[f11782]) ).
tcf(c_1565,plain,
! [X0: $i,X1: $i] :
( r2_hidden(sK248(X0,X1),X1)
| r2_hidden(sK248(X0,X1),X0)
| ( X0 = X1 )
| ~ v1_membered(X1)
| ~ v1_membered(X0) ),
inference(cnf_transformation,[],[f11781]) ).
tcf(c_1566,plain,
! [X0: $i,X1: $i] :
( v1_xcmplx_0(sK248(X0,X1))
| ( X0 = X1 )
| ~ v1_membered(X1)
| ~ v1_membered(X0) ),
inference(cnf_transformation,[],[f11780]) ).
tcf(c_1569,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,X1)
| ~ v1_membered(X1)
| ~ v1_membered(X0)
| ~ r2_hidden(sK249(X0,X1),X1) ),
inference(cnf_transformation,[],[f11786]) ).
tcf(c_1570,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,X1)
| r2_hidden(sK249(X0,X1),X0)
| ~ v1_membered(X1)
| ~ v1_membered(X0) ),
inference(cnf_transformation,[],[f11785]) ).
tcf(c_1571,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,X1)
| v1_xcmplx_0(sK249(X0,X1))
| ~ v1_membered(X1)
| ~ v1_membered(X0) ),
inference(cnf_transformation,[],[f11784]) ).
tcf(c_1573,plain,
! [X0: $i,X1: $i] :
( v1_membered(X0)
| ~ v1_membered(X1)
| ~ r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f11787]) ).
tcf(c_1574,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| v1_xcmplx_0(sK250(X0))
| ~ v1_membered(X0) ),
inference(cnf_transformation,[],[f11789]) ).
tcf(c_1575,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| r2_hidden(sK250(X0),X0)
| ~ v1_membered(X0) ),
inference(cnf_transformation,[],[f11788]) ).
tcf(c_1576,plain,
! [X0: $i] :
( v1_membered(X0)
| ~ v1_xcmplx_0(sK251(X0)) ),
inference(cnf_transformation,[],[f11792]) ).
tcf(c_1577,plain,
! [X0: $i] :
( v1_membered(X0)
| r2_hidden(sK251(X0),X0) ),
inference(cnf_transformation,[],[f11791]) ).
tcf(c_1578,plain,
! [X0: $i,X1: $i] :
( v1_xcmplx_0(X0)
| ~ v1_membered(X1)
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f11790]) ).
tcf(c_1579,plain,
! [X0: $i,X1: $i] :
( v1_membered(k4_xboole_0(X0,X1))
| ~ v1_membered(X0) ),
inference(cnf_transformation,[],[f11793]) ).
tcf(c_1580,plain,
! [X0: $i,X1: $i] :
( v1_membered(k4_xboole_0(X1,k4_xboole_0(X1,X0)))
| ~ v1_membered(X0) ),
inference(cnf_transformation,[],[f14487]) ).
tcf(c_1582,plain,
! [X0: $i,X1: $i] :
( v1_membered(k3_tarski(k2_tarski(X0,X1)))
| ~ v1_membered(X1)
| ~ v1_membered(X0) ),
inference(cnf_transformation,[],[f14489]) ).
tcf(c_1584,plain,
! [X0: $i,X1: $i] :
( v1_membered(k2_tarski(X0,X1))
| ~ v1_xcmplx_0(X1)
| ~ v1_xcmplx_0(X0) ),
inference(cnf_transformation,[],[f11798]) ).
tcf(c_1585,plain,
! [X0: $i] :
( v1_membered(k2_enumset1(X0,X0,X0,X0))
| ~ v1_xcmplx_0(X0) ),
inference(cnf_transformation,[],[f14490]) ).
tcf(c_1586,plain,
! [X0: $i,X1: $i] :
( v1_xcmplx_0(X0)
| ~ v1_membered(X1)
| ~ m1_subset_1(X0,X1) ),
inference(cnf_transformation,[],[f11800]) ).
tcf(c_1587,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k2_tops_1(X1,k6_pre_topc(X1,X0)),k2_tops_1(X1,X0))
| ~ l1_pre_topc(X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(cnf_transformation,[],[f11801]) ).
tcf(c_1588,plain,
! [X0: $i,X1: $i] :
( ( k4_subset_1(u1_struct_0(X1),X0,k2_tops_1(X1,X0)) = k6_pre_topc(X1,X0) )
| ~ l1_pre_topc(X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(cnf_transformation,[],[f11802]) ).
tcf(c_1589,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k2_tops_1(X1,X0),k6_pre_topc(X1,X0))
| ~ l1_pre_topc(X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(cnf_transformation,[],[f11803]) ).
tcf(c_1590,plain,
! [X0: $i,X1: $i] :
( ( k5_subset_1(u1_struct_0(X1),k6_pre_topc(X1,X0),k6_pre_topc(X1,k3_subset_1(u1_struct_0(X1),X0))) = k2_tops_1(X1,X0) )
| ~ l1_pre_topc(X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(cnf_transformation,[],[f11804]) ).
tcf(c_1591,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k6_pre_topc(X1,k5_subset_1(u1_struct_0(X1),X0,k6_pre_topc(X1,X2))) = k6_pre_topc(X1,k5_subset_1(u1_struct_0(X1),X0,X2)) )
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1)
| ~ v3_pre_topc(X0,X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(cnf_transformation,[],[f11805]) ).
tcf(c_1592,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k5_subset_1(u1_struct_0(X1),X0,k6_pre_topc(X1,X2)),k6_pre_topc(X1,k5_subset_1(u1_struct_0(X1),X0,X2)))
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1)
| ~ v3_pre_topc(X0,X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(cnf_transformation,[],[f11806]) ).
tcf(c_1593,plain,
! [X0: $i,X1: $i] :
( ( k6_pre_topc(X1,k6_pre_topc(X1,X0)) = k6_pre_topc(X1,X0) )
| ~ l1_pre_topc(X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(cnf_transformation,[],[f11807]) ).
tcf(c_1594,plain,
! [X0: $i,X1: $i] :
( m1_subset_1(k6_pre_topc(X1,X0),k1_zfmisc_1(u1_struct_0(X1)))
| ~ l1_pre_topc(X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(cnf_transformation,[],[f11808]) ).
tcf(c_1595,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k6_pre_topc(X1,k5_subset_1(u1_struct_0(X1),X0,X2)),k5_subset_1(u1_struct_0(X1),k6_pre_topc(X1,X0),k6_pre_topc(X1,X2)))
| ~ l1_pre_topc(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(cnf_transformation,[],[f11809]) ).
tcf(c_1596,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k4_subset_1(u1_struct_0(X1),k6_pre_topc(X1,X0),k6_pre_topc(X1,X2)) = k6_pre_topc(X1,k4_subset_1(u1_struct_0(X1),X0,X2)) )
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(cnf_transformation,[],[f11810]) ).
tcf(c_1597,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k6_pre_topc(X1,X0),k6_pre_topc(X1,X2))
| ~ l1_pre_topc(X1)
| ~ r1_tarski(X0,X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(cnf_transformation,[],[f11811]) ).
tcf(c_1598,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,k6_pre_topc(X1,X0))
| ~ l1_pre_topc(X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(cnf_transformation,[],[f11812]) ).
tcf(c_1599,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k4_subset_1(u1_struct_0(X1),k4_subset_1(u1_struct_0(X1),k2_tops_1(X1,k4_subset_1(u1_struct_0(X1),X0,X2)),k2_tops_1(X1,k5_subset_1(u1_struct_0(X1),X0,X2))),k5_subset_1(u1_struct_0(X1),k2_tops_1(X1,X0),k2_tops_1(X1,X2))) = k4_subset_1(u1_struct_0(X1),k2_tops_1(X1,X0),k2_tops_1(X1,X2)) )
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(cnf_transformation,[],[f11813]) ).
tcf(c_1600,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k2_tops_1(X1,k4_subset_1(u1_struct_0(X1),X0,X2)),k4_subset_1(u1_struct_0(X1),k2_tops_1(X1,X0),k2_tops_1(X1,X2)))
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(cnf_transformation,[],[f11814]) ).
tcf(c_1601,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k2_tops_1(X1,k5_subset_1(u1_struct_0(X1),X0,X2)),k4_subset_1(u1_struct_0(X1),k2_tops_1(X1,X0),k2_tops_1(X1,X2)))
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(cnf_transformation,[],[f11815]) ).
tcf(c_1602,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k4_subset_1(X1,X0,X2) = k3_tarski(k2_tarski(X0,X2)) )
| ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| ~ m1_subset_1(X0,k1_zfmisc_1(X1)) ),
inference(cnf_transformation,[],[f14491]) ).
tcf(c_1603,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k4_subset_1(X1,X0,X0) = X0 )
| ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| ~ m1_subset_1(X0,k1_zfmisc_1(X1)) ),
inference(cnf_transformation,[],[f11817]) ).
tcf(c_1604,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k4_subset_1(X1,X0,X2) = k4_subset_1(X1,X2,X0) )
| ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| ~ m1_subset_1(X0,k1_zfmisc_1(X1)) ),
inference(cnf_transformation,[],[f11818]) ).
tcf(c_1605,plain,
! [X0: $i,X1: $i,X2: $i] :
( m1_subset_1(k4_subset_1(X1,X0,X2),k1_zfmisc_1(X1))
| ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| ~ m1_subset_1(X0,k1_zfmisc_1(X1)) ),
inference(cnf_transformation,[],[f11819]) ).
tcf(c_1606,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k4_subset_1(X1,k3_subset_1(X1,X0),k3_subset_1(X1,X2)) = k3_subset_1(X1,k5_subset_1(X1,X0,X2)) )
| ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| ~ m1_subset_1(X0,k1_zfmisc_1(X1)) ),
inference(cnf_transformation,[],[f11820]) ).
tcf(c_1607,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k5_subset_1(X1,k3_subset_1(X1,X0),k3_subset_1(X1,X2)) = k3_subset_1(X1,k4_subset_1(X1,X0,X2)) )
| ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| ~ m1_subset_1(X0,k1_zfmisc_1(X1)) ),
inference(cnf_transformation,[],[f11821]) ).
tcf(c_1608,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( k4_subset_1(X0,X2,X3) = X1 )
| ~ m1_subset_1(X3,k1_zfmisc_1(X0))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ r2_hidden(sK252(X0,X1,X2,X3),X2)
| ~ r2_hidden(sK252(X0,X1,X2,X3),X1) ),
inference(cnf_transformation,[],[f11825]) ).
tcf(c_1609,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( k4_subset_1(X0,X2,X3) = X1 )
| ~ m1_subset_1(X3,k1_zfmisc_1(X0))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ r2_hidden(sK252(X0,X1,X2,X3),X3)
| ~ r2_hidden(sK252(X0,X1,X2,X3),X1) ),
inference(cnf_transformation,[],[f11824]) ).
tcf(c_1610,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r2_hidden(sK252(X1,X0,X2,X3),X3)
| r2_hidden(sK252(X1,X0,X2,X3),X2)
| r2_hidden(sK252(X1,X0,X2,X3),X0)
| ( k4_subset_1(X1,X2,X3) = X0 )
| ~ m1_subset_1(X3,k1_zfmisc_1(X1))
| ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| ~ m1_subset_1(X0,k1_zfmisc_1(X1)) ),
inference(cnf_transformation,[],[f11823]) ).
tcf(c_1611,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( m1_subset_1(sK252(X1,X0,X2,X3),X1)
| ( k4_subset_1(X1,X2,X3) = X0 )
| ~ m1_subset_1(X3,k1_zfmisc_1(X1))
| ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| ~ m1_subset_1(X0,k1_zfmisc_1(X1)) ),
inference(cnf_transformation,[],[f11822]) ).
tcf(c_1612,plain,
! [X0: $i,X1: $i] :
( r1_tarski(u1_struct_0(X0),u1_struct_0(X1))
| ~ l1_pre_topc(X1)
| ~ m1_pre_topc(X0,X1) ),
inference(cnf_transformation,[],[f11826]) ).
tcf(c_1613,plain,
! [X0: $i] :
( m1_pre_topc(sK253(X0),X0)
| ~ l1_pre_topc(X0) ),
inference(cnf_transformation,[],[f11827]) ).
tcf(c_1614,plain,
! [X0: $i,X1: $i] :
( l1_pre_topc(X0)
| ~ l1_pre_topc(X1)
| ~ m1_pre_topc(X0,X1) ),
inference(cnf_transformation,[],[f11828]) ).
tcf(c_1615,plain,
! [X0: $i,X1: $i,X2: $i] :
( m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X2)))
| ~ l1_pre_topc(X2)
| ~ m1_pre_topc(X1,X2)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(cnf_transformation,[],[f11829]) ).
tcf(c_1616,plain,
! [X0: $i,X1: $i] :
( v2_pre_topc(X0)
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1)
| ~ m1_pre_topc(X0,X1) ),
inference(cnf_transformation,[],[f11830]) ).
tcf(c_1617,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( k4_xboole_0(k3_tarski(X0),k4_xboole_0(k3_tarski(X0),k3_tarski(X2))) = k3_tarski(k5_subset_1(X1,X0,X2)) )
| ~ m1_eqrel_1(X1,X3)
| ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| ~ m1_subset_1(X0,k1_zfmisc_1(X1)) ),
inference(cnf_transformation,[],[f14492]) ).
tcf(c_1618,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X1)
| m1_filter_0(k5_subset_1(u1_struct_0(X1),X0,X2),X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_filter_0(X2,X1)
| ~ m1_filter_0(X0,X1) ),
inference(cnf_transformation,[],[f11832]) ).
tcf(c_1619,plain,
! [X0: $i,X1: $i] :
( ( k4_subset_1(u1_struct_0(X1),k5_subset_1(u1_struct_0(X1),k6_pre_topc(X1,k3_subset_1(u1_struct_0(X1),X0)),X0),k6_subset_1(u1_struct_0(X1),k6_pre_topc(X1,X0),X0)) = k2_tops_1(X1,X0) )
| ~ l1_pre_topc(X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(cnf_transformation,[],[f11833]) ).
tcf(c_1620,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_pre_topc(k5_subset_1(u1_struct_0(X1),X0,X2),X1)
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1)
| ~ v3_pre_topc(X2,X1)
| ~ v3_pre_topc(X0,X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(cnf_transformation,[],[f11834]) ).
tcf(c_1621,plain,
! [X0: $i,X1: $i] :
( r1_xreal_0(X0,X1)
| ~ v4_ordinal2(X1)
| ~ v4_ordinal2(X0)
| ( k5_subset_1(k5_numbers,k2_finseq_1(X0),k2_finseq_1(X1)) != k2_finseq_1(X0) ) ),
inference(cnf_transformation,[],[f11835]) ).
tcf(c_1622,plain,
! [X0: $i,X1: $i] :
( ( k5_subset_1(k5_numbers,k2_finseq_1(X1),k2_finseq_1(X0)) = k2_finseq_1(X0) )
| ~ v4_ordinal2(X1)
| ~ v4_ordinal2(X0)
| ~ r1_xreal_0(X0,X1) ),
inference(cnf_transformation,[],[f11836]) ).
tcf(c_1623,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k4_xboole_0(X0,k4_xboole_0(X0,X2)) = k5_subset_1(X1,X0,X2) )
| ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| ~ m1_subset_1(X0,k1_zfmisc_1(X1)) ),
inference(cnf_transformation,[],[f14493]) ).
tcf(c_1624,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k5_subset_1(X1,X0,X0) = X0 )
| ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| ~ m1_subset_1(X0,k1_zfmisc_1(X1)) ),
inference(cnf_transformation,[],[f11838]) ).
tcf(c_1625,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k5_subset_1(X1,X0,X2) = k5_subset_1(X1,X2,X0) )
| ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| ~ m1_subset_1(X0,k1_zfmisc_1(X1)) ),
inference(cnf_transformation,[],[f11839]) ).
tcf(c_1626,plain,
! [X0: $i,X1: $i,X2: $i] :
( m1_subset_1(k5_subset_1(X1,X0,X2),k1_zfmisc_1(X1))
| ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| ~ m1_subset_1(X0,k1_zfmisc_1(X1)) ),
inference(cnf_transformation,[],[f11840]) ).
tcf(c_1627,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k3_subset_1(X1,X0),k3_subset_1(X1,k5_subset_1(X1,X0,X2)))
| ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| ~ m1_subset_1(X0,k1_zfmisc_1(X1)) ),
inference(cnf_transformation,[],[f11841]) ).
tcf(c_1628,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k5_subset_1(X1,X0,k3_subset_1(X1,X2)) = k6_subset_1(X1,X0,X2) )
| ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| ~ m1_subset_1(X0,k1_zfmisc_1(X1)) ),
inference(cnf_transformation,[],[f11842]) ).
tcf(c_1629,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( k5_subset_1(X0,X2,X3) = X1 )
| ~ m1_subset_1(X3,k1_zfmisc_1(X0))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ r2_hidden(sK254(X0,X1,X2,X3),X3)
| ~ r2_hidden(sK254(X0,X1,X2,X3),X2)
| ~ r2_hidden(sK254(X0,X1,X2,X3),X1) ),
inference(cnf_transformation,[],[f11846]) ).
tcf(c_1630,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r2_hidden(sK254(X1,X0,X2,X3),X2)
| r2_hidden(sK254(X1,X0,X2,X3),X0)
| ( k5_subset_1(X1,X2,X3) = X0 )
| ~ m1_subset_1(X3,k1_zfmisc_1(X1))
| ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| ~ m1_subset_1(X0,k1_zfmisc_1(X1)) ),
inference(cnf_transformation,[],[f11845]) ).
tcf(c_1631,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r2_hidden(sK254(X1,X0,X2,X3),X3)
| r2_hidden(sK254(X1,X0,X2,X3),X0)
| ( k5_subset_1(X1,X2,X3) = X0 )
| ~ m1_subset_1(X3,k1_zfmisc_1(X1))
| ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| ~ m1_subset_1(X0,k1_zfmisc_1(X1)) ),
inference(cnf_transformation,[],[f11844]) ).
tcf(c_1632,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( m1_subset_1(sK254(X1,X0,X2,X3),X1)
| ( k5_subset_1(X1,X2,X3) = X0 )
| ~ m1_subset_1(X3,k1_zfmisc_1(X1))
| ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| ~ m1_subset_1(X0,k1_zfmisc_1(X1)) ),
inference(cnf_transformation,[],[f11843]) ).
tcf(c_1633,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| m1_subset_1(sK255(X0),k5_finsub_1(X0)) ),
inference(cnf_transformation,[],[f11849]) ).
tcf(c_1634,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| ~ v1_xboole_0(sK255(X0)) ),
inference(cnf_transformation,[],[f11848]) ).
tcf(c_1635,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| v1_finset_1(sK255(X0)) ),
inference(cnf_transformation,[],[f11847]) ).
tcf(c_1636,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| ~ v1_xboole_0(sK256(X0)) ),
inference(cnf_transformation,[],[f11851]) ).
tcf(c_1637,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| m1_subset_1(sK256(X0),k5_finsub_1(X0)) ),
inference(cnf_transformation,[],[f11850]) ).
tcf(c_1638,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(X1)
| r2_hidden(sK257(X1,X0),X0)
| ( X0 = np__0 )
| ~ m1_subset_1(X0,k5_finsub_1(X1)) ),
inference(cnf_transformation,[],[f14494]) ).
tcf(c_1639,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(X1)
| m1_subset_1(sK257(X1,X0),X1)
| ( X0 = np__0 )
| ~ m1_subset_1(X0,k5_finsub_1(X1)) ),
inference(cnf_transformation,[],[f14495]) ).
tcf(c_1640,plain,
! [X0: $i,X1: $i,X2: $i] :
( m1_subset_1(X2,k5_finsub_1(X1))
| ~ r1_tarski(X2,X0)
| ~ m1_subset_1(X0,k5_finsub_1(X1)) ),
inference(cnf_transformation,[],[f11854]) ).
tcf(c_1641,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_xboole_0(X1)
| m1_subset_1(X2,X1)
| ~ r2_hidden(X2,X0)
| ~ m1_subset_1(X0,k5_finsub_1(X1)) ),
inference(cnf_transformation,[],[f11855]) ).
tcf(c_1642,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| m1_subset_1(sK258(X0),k5_finsub_1(X0)) ),
inference(cnf_transformation,[],[f11858]) ).
tcf(c_1643,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| ~ v1_xboole_0(sK258(X0)) ),
inference(cnf_transformation,[],[f11857]) ).
tcf(c_1644,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| v1_finset_1(sK258(X0)) ),
inference(cnf_transformation,[],[f11856]) ).
tcf(c_1645,plain,
! [X0: $i] : m1_subset_1(sK259(X0),k5_finsub_1(X0)),
inference(cnf_transformation,[],[f11861]) ).
tcf(c_1646,plain,
! [X0: $i] : v1_xboole_0(sK259(X0)),
inference(cnf_transformation,[],[f11860]) ).
tcf(c_1647,plain,
! [X0: $i] : v1_finset_1(sK259(X0)),
inference(cnf_transformation,[],[f11859]) ).
tcf(c_1648,plain,
! [X0: $i,X1: $i] :
( m1_subset_1(X0,k5_finsub_1(X1))
| ~ v1_finset_1(X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(X1)) ),
inference(cnf_transformation,[],[f11862]) ).
tcf(c_1649,plain,
! [X0: $i,X1: $i] :
( m1_subset_1(X0,k1_zfmisc_1(X1))
| ~ m1_subset_1(X0,k5_finsub_1(X1)) ),
inference(cnf_transformation,[],[f11863]) ).
tcf(c_1651,plain,
k2_enumset1(np__0,np__0,np__0,np__0) = k5_finsub_1(np__0),
inference(cnf_transformation,[],[f14496]) ).
tcf(c_1652,plain,
! [X0: $i] :
( ( k1_zfmisc_1(X0) = k5_finsub_1(X0) )
| ~ v1_finset_1(X0) ),
inference(cnf_transformation,[],[f11866]) ).
tcf(c_1653,plain,
! [X0: $i] : r1_tarski(k5_finsub_1(X0),k1_zfmisc_1(X0)),
inference(cnf_transformation,[],[f11867]) ).
tcf(c_1654,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k5_finsub_1(X0),k5_finsub_1(X1))
| ~ r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f11868]) ).
tcf(c_1655,plain,
! [X0: $i,X1: $i] :
( v1_finset_1(X0)
| ~ m1_subset_1(X0,k5_finsub_1(X1)) ),
inference(cnf_transformation,[],[f11869]) ).
tcf(c_1656,plain,
~ v1_finset_1(k5_numbers),
inference(cnf_transformation,[],[f11870]) ).
tcf(c_1657,plain,
! [X0: $i,X1: $i] :
( v1_finset_1(X0)
| ~ m2_subset_1(X1,k1_numbers,k5_numbers)
| ( k1_card_1(X0) != k1_card_1(X1) ) ),
inference(cnf_transformation,[],[f11873]) ).
tcf(c_1658,plain,
! [X0: $i] :
( m2_subset_1(sK260(X0),k1_numbers,k5_numbers)
| ~ v1_finset_1(X0) ),
inference(cnf_transformation,[],[f11872]) ).
tcf(c_1659,plain,
! [X0: $i] :
( ( k1_card_1(sK260(X0)) = k1_card_1(X0) )
| ~ v1_finset_1(X0) ),
inference(cnf_transformation,[],[f11871]) ).
tcf(c_1660,plain,
! [X0: $i] :
( v1_finset_1(X0)
| ~ v1_finset_1(k1_card_1(X0)) ),
inference(cnf_transformation,[],[f11875]) ).
tcf(c_1661,plain,
! [X0: $i] :
( v1_finset_1(k1_card_1(X0))
| ~ v1_finset_1(X0) ),
inference(cnf_transformation,[],[f11874]) ).
tcf(c_1663,plain,
! [X0: $i] :
( v1_finset_1(k2_relat_1(X0))
| ~ v1_finset_1(X0)
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f11877]) ).
tcf(c_1664,plain,
~ v1_xboole_0(sK261),
inference(cnf_transformation,[],[f11881]) ).
tcf(c_1665,plain,
v1_relat_1(sK261),
inference(cnf_transformation,[],[f11880]) ).
tcf(c_1666,plain,
v1_funct_1(sK261),
inference(cnf_transformation,[],[f11879]) ).
tcf(c_1667,plain,
v1_finset_1(sK261),
inference(cnf_transformation,[],[f11878]) ).
tcf(c_1668,plain,
v1_xboole_0(sK262),
inference(cnf_transformation,[],[f11886]) ).
tcf(c_1669,plain,
v1_relat_1(sK262),
inference(cnf_transformation,[],[f11885]) ).
tcf(c_1670,plain,
v1_funct_1(sK262),
inference(cnf_transformation,[],[f11884]) ).
tcf(c_1671,plain,
v2_funct_1(sK262),
inference(cnf_transformation,[],[f11883]) ).
tcf(c_1672,plain,
v1_finset_1(sK262),
inference(cnf_transformation,[],[f11882]) ).
tcf(c_1673,plain,
! [X0: $i] :
( v1_finset_1(X0)
| ~ m2_subset_1(X0,k1_numbers,k5_numbers) ),
inference(cnf_transformation,[],[f11888]) ).
tcf(c_1675,plain,
! [X0: $i] :
( v1_finset_1(k1_relat_1(X0))
| ~ v1_finset_1(X0)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0) ),
inference(cnf_transformation,[],[f11890]) ).
tcf(c_1676,plain,
! [X0: $i] :
( v1_finset_1(X0)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0)
| ~ v1_finset_1(k1_relat_1(X0)) ),
inference(cnf_transformation,[],[f11889]) ).
tcf(c_1677,plain,
! [X0: $i] :
( v1_finset_1(k2_relat_1(X0))
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0)
| ~ v1_finset_1(k1_relat_1(X0)) ),
inference(cnf_transformation,[],[f11891]) ).
tcf(c_1678,plain,
! [X0: $i] :
( v1_finset_1(X0)
| ~ v1_finset_1(k1_zfmisc_1(X0)) ),
inference(cnf_transformation,[],[f11893]) ).
tcf(c_1679,plain,
! [X0: $i] :
( v1_finset_1(k1_zfmisc_1(X0))
| ~ v1_finset_1(X0) ),
inference(cnf_transformation,[],[f11892]) ).
tcf(c_1680,plain,
! [X0: $i,X1: $i] :
( v1_finset_1(X1)
| ( X0 = np__0 )
| ~ v1_finset_1(k2_zfmisc_1(X0,X1)) ),
inference(cnf_transformation,[],[f14497]) ).
tcf(c_1681,plain,
! [X0: $i,X1: $i] :
( v1_finset_1(X0)
| ( X1 = np__0 )
| ~ v1_finset_1(k2_zfmisc_1(X0,X1)) ),
inference(cnf_transformation,[],[f14498]) ).
tcf(c_1683,plain,
! [X0: $i,X1: $i] :
( r2_hidden(sK263(X0),X0)
| ( X0 = np__0 )
| ~ v1_finset_1(X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(k1_zfmisc_1(X1))) ),
inference(cnf_transformation,[],[f14499]) ).
tcf(c_1684,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = np__0 )
| ( sK263(X0) = X2 )
| ~ v1_finset_1(X1)
| ~ r2_hidden(X2,X0)
| ~ r1_tarski(sK263(X0),X2)
| ~ m1_subset_1(X0,k1_zfmisc_1(k1_zfmisc_1(X1))) ),
inference(cnf_transformation,[],[f14500]) ).
tcf(c_1686,plain,
! [X0: $i,X1: $i] :
( v1_finset_1(X0)
| ~ v1_finset_1(X1)
| ~ r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f11900]) ).
tcf(c_1687,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| m1_subset_1(sK264(X0),k1_zfmisc_1(X0)) ),
inference(cnf_transformation,[],[f11903]) ).
tcf(c_1688,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| ~ v1_xboole_0(sK264(X0)) ),
inference(cnf_transformation,[],[f11902]) ).
tcf(c_1689,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| v1_finset_1(sK264(X0)) ),
inference(cnf_transformation,[],[f11901]) ).
tcf(c_1690,plain,
! [X0: $i,X1: $i] :
( v1_finset_1(k2_zfmisc_1(X0,X1))
| ~ v1_finset_1(X1)
| ~ v1_finset_1(X0) ),
inference(cnf_transformation,[],[f11904]) ).
tcf(c_1691,plain,
! [X0: $i,X1: $i] :
( v1_finset_1(k4_xboole_0(X0,X1))
| ~ v1_finset_1(X0) ),
inference(cnf_transformation,[],[f11905]) ).
tcf(c_1694,plain,
! [X0: $i,X1: $i] : v1_finset_1(k2_tarski(X0,X1)),
inference(cnf_transformation,[],[f11907]) ).
tcf(c_1695,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| m1_subset_1(sK265(X0),k1_zfmisc_1(X0)) ),
inference(cnf_transformation,[],[f11911]) ).
tcf(c_1696,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| ~ v1_xboole_0(sK265(X0)) ),
inference(cnf_transformation,[],[f11910]) ).
tcf(c_1697,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| v1_finset_1(sK265(X0)) ),
inference(cnf_transformation,[],[f11909]) ).
tcf(c_1700,plain,
! [X0: $i] :
( v1_finset_1(X0)
| ~ v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f11914]) ).
tcf(c_1701,plain,
~ v1_xboole_0(sK266),
inference(cnf_transformation,[],[f11916]) ).
tcf(c_1702,plain,
v1_finset_1(sK266),
inference(cnf_transformation,[],[f11915]) ).
tcf(c_1703,plain,
! [X0: $i,X1: $i] :
( v1_funct_1(sK267(X1,X0))
| ~ m1_subset_1(X0,X1) ),
inference(cnf_transformation,[],[f11920]) ).
tcf(c_1704,plain,
! [X0: $i,X1: $i] :
( v1_funct_2(sK267(X1,X0),k2_zfmisc_1(X1,X1),X1)
| ~ m1_subset_1(X0,X1) ),
inference(cnf_transformation,[],[f11919]) ).
tcf(c_1705,plain,
! [X0: $i,X1: $i] :
( m2_relset_1(sK267(X1,X0),k2_zfmisc_1(X1,X1),X1)
| ~ m1_subset_1(X0,X1) ),
inference(cnf_transformation,[],[f11918]) ).
tcf(c_1706,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(k1_funct_1(sK267(X1,X2),X0),k4_xboole_0(X1,k2_enumset1(X2,X2,X2,X2)))
| ~ m1_subset_1(X2,X1)
| ~ r2_hidden(X0,k2_zfmisc_1(k4_xboole_0(X1,k2_enumset1(X2,X2,X2,X2)),k4_xboole_0(X1,k2_enumset1(X2,X2,X2,X2)))) ),
inference(cnf_transformation,[],[f14503]) ).
tcf(c_1707,plain,
~ v1_xboole_0(sK268),
inference(cnf_transformation,[],[f11922]) ).
tcf(c_1708,plain,
! [X0: $i] :
( ~ m1_subset_1(X0,sK268)
| ~ v1_xboole_0(k4_xboole_0(sK268,k2_enumset1(X0,X0,X0,X0))) ),
inference(cnf_transformation,[],[f14504]) ).
tcf(c_1709,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k4_xboole_0(k5_relat_1(X0,X1),k5_relat_1(X0,X2)),k5_relat_1(X0,k4_xboole_0(X1,X2)))
| ~ v1_relat_1(X2)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f11923]) ).
tcf(c_1710,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k4_xboole_0(k1_relat_1(X0),k1_relat_1(X1)),k1_relat_1(k4_xboole_0(X0,X1)))
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f11924]) ).
tcf(c_1711,plain,
! [X0: $i,X1: $i] :
( v1_relat_1(k4_xboole_0(X0,X1))
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f11925]) ).
tcf(c_1713,plain,
! [X0: $i,X1: $i,X2: $i] : k4_xboole_0(k2_zfmisc_1(X0,X1),k2_zfmisc_1(X2,X1)) = k2_zfmisc_1(k4_xboole_0(X0,X2),X1),
inference(cnf_transformation,[],[f11928]) ).
tcf(c_1714,plain,
! [X0: $i,X1: $i,X2: $i] : k4_xboole_0(k2_zfmisc_1(X0,X1),k2_zfmisc_1(X0,X2)) = k2_zfmisc_1(X0,k4_xboole_0(X1,X2)),
inference(cnf_transformation,[],[f11927]) ).
tcf(c_1716,plain,
! [X0: $i,X1: $i] :
( ( k4_xboole_0(k2_enumset1(X0,X0,X0,X0),X1) = np__0 )
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f14506]) ).
tcf(c_1720,plain,
! [X0: $i,X1: $i] :
( ( X0 = np__0 )
| ( k2_enumset1(X1,X1,X1,X1) = X0 )
| ( k4_xboole_0(X0,k2_enumset1(X1,X1,X1,X1)) != np__0 ) ),
inference(cnf_transformation,[],[f14510]) ).
tcf(c_1721,plain,
! [X0: $i,X1: $i] :
( r2_hidden(X1,X0)
| ( k4_xboole_0(X0,k2_enumset1(X1,X1,X1,X1)) = X0 ) ),
inference(cnf_transformation,[],[f14511]) ).
tcf(c_1722,plain,
! [X0: $i,X1: $i] :
( ~ r2_hidden(X1,X0)
| ( k4_xboole_0(X0,k2_enumset1(X1,X1,X1,X1)) != X0 ) ),
inference(cnf_transformation,[],[f14512]) ).
tcf(c_1723,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(X0,k4_xboole_0(X1,k2_enumset1(X2,X2,X2,X2)))
| ( X0 = X2 )
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f14513]) ).
tcf(c_1725,plain,
! [X0: $i,X1: $i] : ~ r2_hidden(X0,k4_xboole_0(X1,k2_enumset1(X0,X0,X0,X0))),
inference(cnf_transformation,[],[f15180]) ).
tcf(c_1726,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(X2,X0)
| r1_tarski(X0,k4_xboole_0(X1,k2_enumset1(X2,X2,X2,X2)))
| ~ r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f14516]) ).
tcf(c_1727,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( k4_xboole_0(k2_enumset1(X0,X0,X0,X0),k2_enumset1(X1,X1,X1,X1)) != np__0 ) ),
inference(cnf_transformation,[],[f14517]) ).
tcf(c_1728,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( k4_xboole_0(k2_enumset1(X0,X0,X0,X0),k2_enumset1(X1,X1,X1,X1)) = k2_enumset1(X0,X0,X0,X0) ) ),
inference(cnf_transformation,[],[f14518]) ).
tcf(c_1729,plain,
! [X0: $i] : k4_xboole_0(k2_enumset1(X0,X0,X0,X0),k2_enumset1(X0,X0,X0,X0)) != k2_enumset1(X0,X0,X0,X0),
inference(cnf_transformation,[],[f15181]) ).
tcf(c_1730,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k4_xboole_0(X0,X2),X1)
| ~ r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f11944]) ).
tcf(c_1731,plain,
! [X0: $i,X1: $i] :
( ( X0 = np__0 )
| ~ r1_tarski(X0,k4_xboole_0(X1,X0)) ),
inference(cnf_transformation,[],[f14520]) ).
tcf(c_1732,plain,
! [X0: $i,X1: $i] :
( ( k4_xboole_0(X0,X1) = np__0 )
| ~ r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f14521]) ).
tcf(c_1733,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,X1)
| ( k4_xboole_0(X0,X1) != np__0 ) ),
inference(cnf_transformation,[],[f14522]) ).
tcf(c_1734,plain,
! [X0: $i,X1: $i] : r1_tarski(k4_xboole_0(X0,X1),X0),
inference(cnf_transformation,[],[f11948]) ).
tcf(c_1735,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_tarski(k4_xboole_0(X0,X3),k4_xboole_0(X1,X2))
| ~ r1_tarski(X2,X3)
| ~ r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f11949]) ).
tcf(c_1736,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k4_xboole_0(X2,X1),k4_xboole_0(X2,X0))
| ~ r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f11950]) ).
tcf(c_1737,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k4_xboole_0(X0,X2),k4_xboole_0(X1,X2))
| ~ r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f11951]) ).
tcf(c_1738,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( k4_xboole_0(X0,X1) != k4_xboole_0(X1,X0) ) ),
inference(cnf_transformation,[],[f11952]) ).
tcf(c_1739,plain,
! [X0: $i] : k4_xboole_0(np__0,X0) = np__0,
inference(cnf_transformation,[],[f14523]) ).
tcf(c_1740,plain,
! [X0: $i] : k4_xboole_0(X0,np__0) = X0,
inference(cnf_transformation,[],[f14524]) ).
tcf(c_1741,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(sK269(X0,X1,X2),X1)
| ( k4_xboole_0(X0,X1) = X2 )
| ~ r2_hidden(sK269(X0,X1,X2),X2)
| ~ r2_hidden(sK269(X0,X1,X2),X0) ),
inference(cnf_transformation,[],[f11960]) ).
tcf(c_1742,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(sK269(X0,X1,X2),X2)
| r2_hidden(sK269(X0,X1,X2),X0)
| ( k4_xboole_0(X0,X1) = X2 ) ),
inference(cnf_transformation,[],[f11959]) ).
tcf(c_1743,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(sK269(X0,X1,X2),X2)
| ( k4_xboole_0(X0,X1) = X2 )
| ~ r2_hidden(sK269(X0,X1,X2),X1) ),
inference(cnf_transformation,[],[f11958]) ).
tcf(c_1744,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(X0,X2)
| r2_hidden(X0,k4_xboole_0(X1,X2))
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f15182]) ).
tcf(c_1745,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(X0,X1)
| ~ r2_hidden(X0,k4_xboole_0(X1,X2)) ),
inference(cnf_transformation,[],[f15183]) ).
tcf(c_1746,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r2_hidden(X0,X2)
| ~ r2_hidden(X0,k4_xboole_0(X1,X2)) ),
inference(cnf_transformation,[],[f15184]) ).
tcf(c_1747,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( v3_struct_0(X1)
| v3_struct_0(X0)
| r3_lattices(X0,k8_funct_2(u1_struct_0(X1),u1_struct_0(X0),X2,X4),k8_funct_2(u1_struct_0(X1),u1_struct_0(X0),X2,k4_filter_0(X1,X3,X5)))
| ~ v16_lattices(X0)
| ~ v3_filter_0(X1)
| ~ v15_lattices(X0)
| ~ l3_lattices(X1)
| ~ l3_lattices(X0)
| ~ v10_lattices(X1)
| ~ v10_lattices(X0)
| ~ m1_subset_1(X5,u1_struct_0(X1))
| ~ m1_subset_1(X4,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ v1_lattice4(X2,X1,X0)
| ~ m1_lattice4(X2,X1,X0)
| ~ r3_lattices(X0,k4_lattices(X0,k8_funct_2(u1_struct_0(X1),u1_struct_0(X0),X2,X3),k8_funct_2(u1_struct_0(X1),u1_struct_0(X0),X2,X4)),k8_funct_2(u1_struct_0(X1),u1_struct_0(X0),X2,X5)) ),
inference(cnf_transformation,[],[f11961]) ).
tcf(c_1748,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( v3_struct_0(X1)
| v3_struct_0(X0)
| r3_lattices(X1,X3,X4)
| ~ l3_lattices(X1)
| ~ l3_lattices(X0)
| ~ v10_lattices(X1)
| ~ v10_lattices(X0)
| ~ m1_subset_1(X4,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ v1_lattice4(X2,X1,X0)
| ~ m1_lattice4(X2,X1,X0)
| ~ r3_lattices(X0,k8_funct_2(u1_struct_0(X1),u1_struct_0(X0),X2,X3),k8_funct_2(u1_struct_0(X1),u1_struct_0(X0),X2,X4)) ),
inference(cnf_transformation,[],[f11963]) ).
tcf(c_1750,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X2)
| v3_struct_0(X1)
| v1_lattice4(X0,X1,X2)
| ~ v2_funct_1(X0)
| ~ v1_funct_1(X0)
| ~ l3_lattices(X2)
| ~ l3_lattices(X1)
| ~ v10_lattices(X2)
| ~ v10_lattices(X1)
| ~ m2_relset_1(X0,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_2(X0,u1_struct_0(X1),u1_struct_0(X2)) ),
inference(cnf_transformation,[],[f11965]) ).
tcf(c_1751,plain,
! [X0: $i,X1: $i,X2: $i] :
( v2_funct_1(X0)
| v3_struct_0(X2)
| v3_struct_0(X1)
| ~ v1_funct_1(X0)
| ~ l3_lattices(X2)
| ~ l3_lattices(X1)
| ~ v10_lattices(X2)
| ~ v10_lattices(X1)
| ~ v1_lattice4(X0,X1,X2)
| ~ m2_relset_1(X0,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_2(X0,u1_struct_0(X1),u1_struct_0(X2)) ),
inference(cnf_transformation,[],[f11964]) ).
tcf(c_1752,plain,
! [X0: $i,X1: $i,X2: $i] :
( v11_lattices(X2)
| v3_struct_0(X2)
| v3_struct_0(X1)
| ~ v11_lattices(X1)
| ~ l3_lattices(X2)
| ~ l3_lattices(X1)
| ~ v10_lattices(X2)
| ~ v10_lattices(X1)
| ~ v2_lattice4(X0,X1,X2)
| ~ m1_lattice4(X0,X1,X2) ),
inference(cnf_transformation,[],[f11966]) ).
tcf(c_1753,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v3_struct_0(X2)
| v3_struct_0(X1)
| m1_subset_1(sK270(X1,X2,X0,X3),u1_struct_0(X1))
| ~ v1_funct_1(X0)
| ~ l3_lattices(X2)
| ~ l3_lattices(X1)
| ~ v10_lattices(X2)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ v2_lattice4(X0,X1,X2)
| ~ m2_relset_1(X0,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_2(X0,u1_struct_0(X1),u1_struct_0(X2)) ),
inference(cnf_transformation,[],[f11968]) ).
tcf(c_1754,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v3_struct_0(X2)
| v3_struct_0(X1)
| ( k8_funct_2(u1_struct_0(X1),u1_struct_0(X2),X0,sK270(X1,X2,X0,X3)) = X3 )
| ~ v1_funct_1(X0)
| ~ l3_lattices(X2)
| ~ l3_lattices(X1)
| ~ v10_lattices(X2)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ v2_lattice4(X0,X1,X2)
| ~ m2_relset_1(X0,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_2(X0,u1_struct_0(X1),u1_struct_0(X2)) ),
inference(cnf_transformation,[],[f11967]) ).
tcf(c_1755,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X2)
| v3_struct_0(X0)
| v2_lattice4(X1,X2,X0)
| ~ v1_funct_1(X1)
| ~ l3_lattices(X2)
| ~ l3_lattices(X0)
| ~ v10_lattices(X2)
| ~ v10_lattices(X0)
| ~ m2_relset_1(X1,u1_struct_0(X2),u1_struct_0(X0))
| ~ v1_funct_2(X1,u1_struct_0(X2),u1_struct_0(X0))
| ( u1_struct_0(X0) != k2_relat_1(X1) ) ),
inference(cnf_transformation,[],[f11970]) ).
tcf(c_1756,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X2)
| v3_struct_0(X1)
| ( u1_struct_0(X2) = k2_relat_1(X0) )
| ~ v1_funct_1(X0)
| ~ l3_lattices(X2)
| ~ l3_lattices(X1)
| ~ v10_lattices(X2)
| ~ v10_lattices(X1)
| ~ v2_lattice4(X0,X1,X2)
| ~ m2_relset_1(X0,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_2(X0,u1_struct_0(X1),u1_struct_0(X2)) ),
inference(cnf_transformation,[],[f11969]) ).
tcf(c_1757,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_realset2(X1)
| v3_struct_0(X1)
| ( k3_tarski(k2_tarski(k1_funct_1(k8_lopclset(X1),X0),k1_funct_1(k8_lopclset(X1),X2))) = k1_funct_1(k8_lopclset(X1),k3_lattices(X1,X0,X2)) )
| ~ l3_lattices(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f14525]) ).
tcf(c_1758,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_realset2(X1)
| v3_struct_0(X1)
| ( k4_xboole_0(k1_funct_1(k8_lopclset(X1),X0),k4_xboole_0(k1_funct_1(k8_lopclset(X1),X0),k1_funct_1(k8_lopclset(X1),X2))) = k1_funct_1(k8_lopclset(X1),k4_lattices(X1,X0,X2)) )
| ~ l3_lattices(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f14526]) ).
tcf(c_1760,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_realset2(X1)
| v3_struct_0(X1)
| v1_filter_0(X0,X1)
| ~ l3_lattices(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_filter_0(X0,X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ r2_hidden(X0,k1_funct_1(k8_lopclset(X1),X2)) ),
inference(cnf_transformation,[],[f11974]) ).
tcf(c_1761,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_realset2(X1)
| v3_struct_0(X1)
| r2_hidden(X2,X0)
| ~ l3_lattices(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_filter_0(X0,X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ r2_hidden(X0,k1_funct_1(k8_lopclset(X1),X2)) ),
inference(cnf_transformation,[],[f11973]) ).
tcf(c_1762,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_realset2(X1)
| v3_struct_0(X1)
| r2_hidden(X2,k1_funct_1(k8_lopclset(X1),X0))
| ~ l3_lattices(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| ~ v1_filter_0(X2,X1)
| ~ m1_filter_0(X2,X1)
| ~ r2_hidden(X0,X2)
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f15185]) ).
tcf(c_1763,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_realset2(X1)
| v3_struct_0(X1)
| m1_filter_0(sK271(X0,X1,X2),X1)
| ~ l3_lattices(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ r2_hidden(X0,k1_funct_1(k8_lopclset(X1),X2)) ),
inference(cnf_transformation,[],[f11979]) ).
tcf(c_1764,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_realset2(X1)
| v3_struct_0(X1)
| ( sK271(X0,X1,X2) = X0 )
| ~ l3_lattices(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ r2_hidden(X0,k1_funct_1(k8_lopclset(X1),X2)) ),
inference(cnf_transformation,[],[f11978]) ).
tcf(c_1765,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_realset2(X1)
| v3_struct_0(X1)
| v1_filter_0(sK271(X0,X1,X2),X1)
| ~ l3_lattices(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ r2_hidden(X0,k1_funct_1(k8_lopclset(X1),X2)) ),
inference(cnf_transformation,[],[f11977]) ).
tcf(c_1766,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_realset2(X1)
| v3_struct_0(X1)
| r2_hidden(X2,sK271(X0,X1,X2))
| ~ l3_lattices(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ r2_hidden(X0,k1_funct_1(k8_lopclset(X1),X2)) ),
inference(cnf_transformation,[],[f11976]) ).
tcf(c_1767,plain,
! [X0: $i] :
( v3_realset2(X0)
| v3_struct_0(X0)
| ( k8_lopclset(X0) = k9_lopclset(X0) )
| ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0) ),
inference(cnf_transformation,[],[f11981]) ).
tcf(c_1768,plain,
! [X0: $i] :
( v3_realset2(X0)
| v3_struct_0(X0)
| v1_relat_1(k8_lopclset(X0))
| ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0) ),
inference(cnf_transformation,[],[f11983]) ).
tcf(c_1769,plain,
! [X0: $i] :
( v3_realset2(X0)
| v3_struct_0(X0)
| v1_funct_1(k8_lopclset(X0))
| ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0) ),
inference(cnf_transformation,[],[f11982]) ).
tcf(c_1770,plain,
! [X0: $i,X1: $i] :
( v3_realset2(X1)
| v3_struct_0(X1)
| ( k3_tarski(sK272(X0,X1)) = k7_lopclset(X1) )
| ~ l3_lattices(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(k10_lopclset(X1)))
| ( k3_tarski(X0) != k7_lopclset(X1) ) ),
inference(cnf_transformation,[],[f11985]) ).
tcf(c_1771,plain,
! [X0: $i,X1: $i] :
( v3_realset2(X1)
| v3_struct_0(X1)
| m1_subset_1(sK272(X0,X1),k5_finsub_1(X0))
| ~ l3_lattices(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(k10_lopclset(X1)))
| ( k3_tarski(X0) != k7_lopclset(X1) ) ),
inference(cnf_transformation,[],[f11984]) ).
tcf(c_1772,plain,
! [X0: $i] :
( v3_realset2(X0)
| v3_struct_0(X0)
| ( k3_tarski(k10_lopclset(X0)) = k7_lopclset(X0) )
| ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0) ),
inference(cnf_transformation,[],[f11986]) ).
tcf(c_1773,plain,
! [X0: $i,X1: $i] :
( v3_realset2(X1)
| v3_struct_0(X1)
| r2_hidden(k8_funct_2(u1_struct_0(X1),k1_zfmisc_1(k7_lopclset(X1)),k9_lopclset(X1),X0),k10_lopclset(X1))
| ~ l3_lattices(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f15186]) ).
tcf(c_1774,plain,
! [X0: $i,X1: $i] :
( v3_realset2(X1)
| v3_struct_0(X1)
| m1_subset_1(sK273(X0,X1),u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| ~ r2_hidden(X0,k10_lopclset(X1)) ),
inference(cnf_transformation,[],[f11988]) ).
tcf(c_1775,plain,
! [X0: $i,X1: $i] :
( v3_realset2(X1)
| v3_struct_0(X1)
| ( k8_funct_2(u1_struct_0(X1),k1_zfmisc_1(k7_lopclset(X1)),k9_lopclset(X1),sK273(X0,X1)) = X0 )
| ~ l3_lattices(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| ~ r2_hidden(X0,k10_lopclset(X1)) ),
inference(cnf_transformation,[],[f11987]) ).
tcf(c_1776,plain,
! [X0: $i] :
( v3_realset2(X0)
| v3_struct_0(X0)
| r1_tarski(k10_lopclset(X0),k1_zfmisc_1(k7_lopclset(X0)))
| ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0) ),
inference(cnf_transformation,[],[f11990]) ).
tcf(c_1777,plain,
! [X0: $i] :
( v3_realset2(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| ~ v1_xboole_0(k10_lopclset(X0)) ),
inference(cnf_transformation,[],[f11991]) ).
tcf(c_1778,plain,
! [X0: $i] :
( v3_realset2(X0)
| v3_struct_0(X0)
| ( k2_relat_1(k9_lopclset(X0)) = k10_lopclset(X0) )
| ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0) ),
inference(cnf_transformation,[],[f11992]) ).
tcf(c_1779,plain,
! [X0: $i,X1: $i] :
( v2_pre_topc(k16_borsuk_1(X1,X0))
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1)
| ~ m1_eqrel_1(X0,u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f11994]) ).
tcf(c_1780,plain,
! [X0: $i,X1: $i] :
( l1_pre_topc(k16_borsuk_1(X1,X0))
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1)
| ~ m1_eqrel_1(X0,u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f11993]) ).
tcf(c_1781,plain,
! [X0: $i,X1: $i] :
( v2_pre_topc(k6_borsuk_1(X0,X1))
| ~ l1_pre_topc(X1)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X1)
| ~ v2_pre_topc(X0) ),
inference(cnf_transformation,[],[f11996]) ).
tcf(c_1782,plain,
! [X0: $i,X1: $i] :
( l1_pre_topc(k6_borsuk_1(X0,X1))
| ~ l1_pre_topc(X1)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X1)
| ~ v2_pre_topc(X0) ),
inference(cnf_transformation,[],[f11995]) ).
tcf(c_1783,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(X1)
| v3_struct_0(X0)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ m1_eqrel_1(X1,u1_struct_0(X0))
| ~ v3_struct_0(k16_borsuk_1(X0,X1)) ),
inference(cnf_transformation,[],[f11998]) ).
tcf(c_1785,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| v3_struct_0(X0)
| ~ l1_pre_topc(X1)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X1)
| ~ v2_pre_topc(X0)
| ~ v3_struct_0(k6_borsuk_1(X0,X1)) ),
inference(cnf_transformation,[],[f12000]) ).
tcf(c_1787,plain,
! [X0: $i] :
( m1_pre_topc(sK274(X0),X0)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) ),
inference(cnf_transformation,[],[f12002]) ).
tcf(c_1788,plain,
! [X0: $i] :
( v2_pre_topc(sK274(X0))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) ),
inference(cnf_transformation,[],[f12001]) ).
tcf(c_1789,plain,
! [X0: $i] :
( v3_struct_0(X0)
| m1_pre_topc(sK275(X0),X0)
| ~ l1_pre_topc(X0) ),
inference(cnf_transformation,[],[f12004]) ).
tcf(c_1790,plain,
! [X0: $i] :
( v3_struct_0(X0)
| ~ l1_pre_topc(X0)
| ~ v3_struct_0(sK275(X0)) ),
inference(cnf_transformation,[],[f12003]) ).
tcf(c_1791,plain,
! [X0: $i] :
( m1_pre_topc(sK276(X0),X0)
| ~ l1_pre_topc(X0) ),
inference(cnf_transformation,[],[f12005]) ).
tcf(c_1792,plain,
l1_pre_topc(sK277),
inference(cnf_transformation,[],[f12008]) ).
tcf(c_1793,plain,
~ v3_struct_0(sK277),
inference(cnf_transformation,[],[f12007]) ).
tcf(c_1794,plain,
v2_pre_topc(sK277),
inference(cnf_transformation,[],[f12006]) ).
tcf(c_1795,plain,
l1_pre_topc(sK278),
inference(cnf_transformation,[],[f12009]) ).
tcf(c_1796,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v1_xboole_0(X1)
| ( k8_funct_2(X1,X2,X0,X3) = k1_funct_1(X0,X3) )
| ~ v1_funct_1(X0)
| ~ m1_subset_1(X3,X1)
| ~ m1_relset_1(X0,X1,X2)
| ~ v1_funct_2(X0,X1,X2) ),
inference(cnf_transformation,[],[f12010]) ).
tcf(c_1797,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v1_xboole_0(X1)
| m1_subset_1(k8_funct_2(X1,X2,X0,X3),X2)
| ~ v1_funct_1(X0)
| ~ m1_subset_1(X3,X1)
| ~ m1_relset_1(X0,X1,X2)
| ~ v1_funct_2(X0,X1,X2) ),
inference(cnf_transformation,[],[f12011]) ).
tcf(c_1798,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v3_struct_0(X1)
| r3_lattices(X1,k4_lattices(X1,k4_filter_0(X1,X0,X2),k4_filter_0(X1,X0,X3)),k4_filter_0(X1,X0,k4_lattices(X1,X2,X3)))
| ~ v3_filter_0(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f12012]) ).
tcf(c_1799,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v3_struct_0(X1)
| r3_lattices(X1,k4_lattices(X1,k4_filter_0(X1,X0,X2),k4_filter_0(X1,X3,X2)),k4_filter_0(X1,k3_lattices(X1,X0,X3),X2))
| ~ v3_filter_0(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f12013]) ).
tcf(c_1800,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v3_struct_0(X1)
| r3_lattices(X1,k4_filter_0(X1,X0,X2),k4_filter_0(X1,X0,k3_lattices(X1,X2,X3)))
| ~ v3_filter_0(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f12017]) ).
tcf(c_1801,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v3_struct_0(X1)
| r3_lattices(X1,k4_filter_0(X1,X0,X2),k4_filter_0(X1,k4_lattices(X1,X0,X3),X2))
| ~ v3_filter_0(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f12016]) ).
tcf(c_1802,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v3_struct_0(X1)
| r3_lattices(X1,k4_filter_0(X1,X0,X2),k4_filter_0(X1,X0,k3_lattices(X1,X3,X2)))
| ~ v3_filter_0(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f12015]) ).
tcf(c_1803,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v3_struct_0(X1)
| r3_lattices(X1,k4_filter_0(X1,X0,X2),k4_filter_0(X1,k4_lattices(X1,X3,X0),X2))
| ~ v3_filter_0(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f12014]) ).
tcf(c_1804,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X1)
| ( k4_filter_0(X1,k3_lattices(X1,X0,X2),X0) = k4_filter_0(X1,X2,X0) )
| ~ v3_filter_0(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f12019]) ).
tcf(c_1805,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X1)
| ( k4_filter_0(X1,X0,k4_lattices(X1,X0,X2)) = k4_filter_0(X1,X0,X2) )
| ~ v3_filter_0(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f12018]) ).
tcf(c_1806,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v3_struct_0(X1)
| ( k4_filter_0(X1,k4_lattices(X1,X0,X2),X3) = k4_filter_0(X1,X0,k4_filter_0(X1,X2,X3)) )
| ~ v3_filter_0(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f12020]) ).
tcf(c_1807,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X1)
| m1_subset_1(k4_filter_0(X1,X0,X2),u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f12021]) ).
tcf(c_1808,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X1)
| ( k3_lattices(X1,k7_lattices(X1,X0),X2) = k4_filter_0(X1,X0,X2) )
| ~ l3_lattices(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f12022]) ).
tcf(c_1809,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( v3_struct_0(X0)
| r2_hidden(k4_filter_0(X0,X1,X4),X3)
| ~ v3_filter_0(X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| ~ m1_filter_0(X3,X0)
| ~ m1_subset_1(X4,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ r2_hidden(k4_filter_0(X0,X2,X4),X3)
| ~ r2_hidden(k4_filter_0(X0,X1,X2),X3) ),
inference(cnf_transformation,[],[f12023]) ).
tcf(c_1810,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v3_struct_0(X1)
| r2_hidden(k4_filter_0(X1,X2,X0),X3)
| ~ v3_filter_0(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_filter_0(X3,X1)
| ~ r2_hidden(X0,X3)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f12024]) ).
tcf(c_1811,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v3_struct_0(X0)
| r2_hidden(X2,X3)
| ~ v3_filter_0(X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| ~ m1_filter_0(X3,X0)
| ~ r2_hidden(X1,X3)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ r2_hidden(k4_filter_0(X0,X1,X2),X3) ),
inference(cnf_transformation,[],[f12025]) ).
tcf(c_1812,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v3_struct_0(X0)
| ( k4_filter_0(X0,X1,X2) = X3 )
| ~ v3_filter_0(X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| ~ m1_subset_1(X3,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ r3_lattices(X0,k4_lattices(X0,X1,X3),X2)
| ~ r3_lattices(X0,sK279(X0,X1,X2,X3),X3) ),
inference(cnf_transformation,[],[f15403]) ).
tcf(c_1813,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v3_struct_0(X0)
| r3_lattices(X0,k4_lattices(X0,X1,sK279(X0,X1,X3,X2)),X3)
| ( k4_filter_0(X0,X1,X3) = X2 )
| ~ v3_filter_0(X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| ~ m1_subset_1(X3,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ r3_lattices(X0,k4_lattices(X0,X1,X2),X3) ),
inference(cnf_transformation,[],[f15404]) ).
tcf(c_1814,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v3_struct_0(X0)
| m1_subset_1(sK279(X0,X1,X3,X2),u1_struct_0(X0))
| ( k4_filter_0(X0,X1,X3) = X2 )
| ~ v3_filter_0(X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| ~ m1_subset_1(X3,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ r3_lattices(X0,k4_lattices(X0,X1,X2),X3) ),
inference(cnf_transformation,[],[f15405]) ).
tcf(c_1815,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X0)
| r3_lattices(X0,k4_lattices(X0,X1,k4_filter_0(X0,X1,X2)),X2)
| ~ v3_filter_0(X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(k4_filter_0(X0,X1,X2),u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f15406]) ).
tcf(c_1816,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v3_struct_0(X0)
| r3_lattices(X0,X2,k4_filter_0(X0,X1,X3))
| ~ v3_filter_0(X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| ~ m1_subset_1(X3,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(k4_filter_0(X0,X1,X3),u1_struct_0(X0))
| ~ r3_lattices(X0,k4_lattices(X0,X1,X2),X3) ),
inference(cnf_transformation,[],[f15407]) ).
tcf(c_1817,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X2)
| v3_struct_0(X1)
| v6_group_1(k13_group_6(X1,X2,X0))
| ~ v4_group_1(X2)
| ~ v4_group_1(X1)
| ~ v3_group_1(X2)
| ~ v3_group_1(X1)
| ~ v6_group_1(X1)
| ~ l1_group_1(X2)
| ~ l1_group_1(X1)
| ~ v1_funct_1(X0)
| ~ v1_group_6(X0,X1,X2)
| ~ m2_relset_1(X0,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_2(X0,u1_struct_0(X1),u1_struct_0(X2)) ),
inference(cnf_transformation,[],[f12031]) ).
tcf(c_1827,plain,
! [X0: $i] :
( sP18(X0)
| v3_struct_0(X0)
| ~ v6_group_1(X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0) ),
inference(cnf_transformation,[],[f12041]) ).
tcf(c_1837,plain,
! [X0: $i] :
( sP19(X0)
| v3_struct_0(X0)
| ~ v6_group_1(X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0) ),
inference(cnf_transformation,[],[f12051]) ).
tcf(c_1838,plain,
! [X0: $i] :
( v6_group_1(X0)
| ~ l1_struct_0(X0)
| ~ v1_finset_1(u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f12053]) ).
tcf(c_1839,plain,
! [X0: $i] :
( v1_finset_1(u1_struct_0(X0))
| ~ v6_group_1(X0)
| ~ l1_struct_0(X0) ),
inference(cnf_transformation,[],[f12052]) ).
tcf(c_1840,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X1)
| r3_lattices(X1,k4_lattices(X1,X0,k3_lattices(X1,k7_lattices(X1,X0),X2)),X2)
| ~ l3_lattices(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f15408]) ).
tcf(c_1841,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v3_struct_0(X0)
| r3_lattices(X0,X2,k3_lattices(X0,k7_lattices(X0,X1),X3))
| ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| ~ m1_subset_1(X3,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ r3_lattices(X0,k4_lattices(X0,X1,X2),X3) ),
inference(cnf_transformation,[],[f15409]) ).
tcf(c_1842,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| m1_subset_1(k7_lattices(X1,X0),u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f12056]) ).
tcf(c_1843,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X0)
| r3_lattices(X0,k7_lattices(X0,X2),k7_lattices(X0,X1))
| ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ r3_lattices(X0,X1,X2) ),
inference(cnf_transformation,[],[f12057]) ).
tcf(c_1844,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X1)
| ( k4_lattices(X1,k7_lattices(X1,X0),k7_lattices(X1,X2)) = k7_lattices(X1,k3_lattices(X1,X0,X2)) )
| ~ l3_lattices(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f12058]) ).
tcf(c_1845,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X1)
| ( k3_lattices(X1,k7_lattices(X1,X0),k7_lattices(X1,X2)) = k7_lattices(X1,k4_lattices(X1,X0,X2)) )
| ~ l3_lattices(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f12059]) ).
tcf(c_1846,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| ( k7_lattices(X1,k7_lattices(X1,X0)) = X0 )
| ~ l3_lattices(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f12060]) ).
tcf(c_1847,plain,
! [X0: $i] :
( v3_struct_0(X0)
| ( k3_binop_1(u1_struct_0(X0),u1_group_1(X0)) = k2_group_1(X0) )
| ~ v2_group_1(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f12061]) ).
tcf(c_1848,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( v1_xboole_0(X6)
| v1_xboole_0(X2)
| v1_xboole_0(X0)
| ( k7_setwiseo(X6,X0,X1,X7,k7_funct_2(X6,X2,X0,X5,X3)) = k8_funct_2(X2,X0,X3,k7_setwiseo(X6,X2,X4,X7,X5)) )
| ~ v1_funct_1(X5)
| ~ v1_funct_1(X4)
| ~ v1_funct_1(X3)
| ~ v1_funct_1(X1)
| ~ v3_binop_1(X4,X2)
| ~ v3_binop_1(X1,X0)
| ~ v1_binop_1(X4,X2)
| ~ v1_binop_1(X1,X0)
| ~ v2_binop_1(X4,X2)
| ~ v2_binop_1(X1,X0)
| ~ v1_setwiseo(X4,X2)
| ~ v1_setwiseo(X1,X0)
| ~ m1_subset_1(X7,k5_finsub_1(X6))
| ~ m2_relset_1(X5,X6,X2)
| ~ m2_relset_1(X3,X2,X0)
| ~ v1_funct_2(X5,X6,X2)
| ~ v1_funct_2(X3,X2,X0)
| ~ m2_relset_1(X4,k2_zfmisc_1(X2,X2),X2)
| ~ m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X4,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ( k8_funct_2(X2,X0,X3,k3_binop_1(X2,X4)) != k3_binop_1(X0,X1) )
| ( k2_binop_1(X0,X0,X0,X1,k8_funct_2(X2,X0,X3,sK280(X2,X4,X0,X1,X3)),k8_funct_2(X2,X0,X3,sK281(X2,X4,X0,X1,X3))) != k8_funct_2(X2,X0,X3,k2_binop_1(X2,X2,X2,X4,sK280(X2,X4,X0,X1,X3),sK281(X2,X4,X0,X1,X3))) ) ),
inference(cnf_transformation,[],[f12064]) ).
tcf(c_1849,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( v1_xboole_0(X6)
| v1_xboole_0(X1)
| v1_xboole_0(X0)
| m1_subset_1(sK281(X0,X3,X1,X4,X2),X0)
| ( k7_setwiseo(X6,X1,X4,X7,k7_funct_2(X6,X0,X1,X5,X2)) = k8_funct_2(X0,X1,X2,k7_setwiseo(X6,X0,X3,X7,X5)) )
| ~ v1_funct_1(X5)
| ~ v1_funct_1(X4)
| ~ v1_funct_1(X3)
| ~ v1_funct_1(X2)
| ~ v3_binop_1(X4,X1)
| ~ v3_binop_1(X3,X0)
| ~ v1_binop_1(X4,X1)
| ~ v1_binop_1(X3,X0)
| ~ v2_binop_1(X4,X1)
| ~ v2_binop_1(X3,X0)
| ~ v1_setwiseo(X4,X1)
| ~ v1_setwiseo(X3,X0)
| ~ m1_subset_1(X7,k5_finsub_1(X6))
| ~ m2_relset_1(X5,X6,X0)
| ~ m2_relset_1(X2,X0,X1)
| ~ v1_funct_2(X5,X6,X0)
| ~ v1_funct_2(X2,X0,X1)
| ~ m2_relset_1(X4,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(X3,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X4,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X3,k2_zfmisc_1(X0,X0),X0)
| ( k8_funct_2(X0,X1,X2,k3_binop_1(X0,X3)) != k3_binop_1(X1,X4) ) ),
inference(cnf_transformation,[],[f12063]) ).
tcf(c_1850,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( v1_xboole_0(X6)
| v1_xboole_0(X1)
| v1_xboole_0(X0)
| m1_subset_1(sK280(X0,X3,X1,X4,X2),X0)
| ( k7_setwiseo(X6,X1,X4,X7,k7_funct_2(X6,X0,X1,X5,X2)) = k8_funct_2(X0,X1,X2,k7_setwiseo(X6,X0,X3,X7,X5)) )
| ~ v1_funct_1(X5)
| ~ v1_funct_1(X4)
| ~ v1_funct_1(X3)
| ~ v1_funct_1(X2)
| ~ v3_binop_1(X4,X1)
| ~ v3_binop_1(X3,X0)
| ~ v1_binop_1(X4,X1)
| ~ v1_binop_1(X3,X0)
| ~ v2_binop_1(X4,X1)
| ~ v2_binop_1(X3,X0)
| ~ v1_setwiseo(X4,X1)
| ~ v1_setwiseo(X3,X0)
| ~ m1_subset_1(X7,k5_finsub_1(X6))
| ~ m2_relset_1(X5,X6,X0)
| ~ m2_relset_1(X2,X0,X1)
| ~ v1_funct_2(X5,X6,X0)
| ~ v1_funct_2(X2,X0,X1)
| ~ m2_relset_1(X4,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(X3,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X4,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X3,k2_zfmisc_1(X0,X0),X0)
| ( k8_funct_2(X0,X1,X2,k3_binop_1(X0,X3)) != k3_binop_1(X1,X4) ) ),
inference(cnf_transformation,[],[f12062]) ).
tcf(c_1851,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_xboole_0(X1)
| ( k2_binop_1(X1,X1,X1,X0,k3_binop_1(X1,X0),X2) = X2 )
| ~ v1_funct_1(X0)
| ~ v1_setwiseo(X0,X1)
| ~ m1_subset_1(X2,X1)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1) ),
inference(cnf_transformation,[],[f12066]) ).
tcf(c_1852,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_xboole_0(X1)
| ( k2_binop_1(X1,X1,X1,X0,X2,k3_binop_1(X1,X0)) = X2 )
| ~ v1_funct_1(X0)
| ~ v1_setwiseo(X0,X1)
| ~ m1_subset_1(X2,X1)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1) ),
inference(cnf_transformation,[],[f12065]) ).
tcf(c_1853,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(X1)
| v1_setwiseo(X0,X1)
| ~ v1_funct_1(X0)
| ~ r3_binop_1(X1,k3_binop_1(X1,X0),X0)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1) ),
inference(cnf_transformation,[],[f12068]) ).
tcf(c_1854,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(X1)
| r3_binop_1(X1,k3_binop_1(X1,X0),X0)
| ~ v1_funct_1(X0)
| ~ v1_setwiseo(X0,X1)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1) ),
inference(cnf_transformation,[],[f12067]) ).
tcf(c_1855,plain,
! [X0: $i,X1: $i] :
( m1_subset_1(k3_binop_1(X1,X0),X1)
| ~ v1_funct_1(X0)
| ~ m1_relset_1(X0,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1) ),
inference(cnf_transformation,[],[f12069]) ).
tcf(c_1856,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( k3_binop_1(X1,X0) = X2 )
| ~ v1_funct_1(X0)
| ~ m1_subset_1(X3,X1)
| ~ m1_subset_1(X2,X1)
| ~ r3_binop_1(X1,X3,X0)
| ~ r3_binop_1(X1,X2,X0)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1) ),
inference(cnf_transformation,[],[f12071]) ).
tcf(c_1857,plain,
! [X0: $i,X1: $i,X2: $i] :
( r3_binop_1(X1,k3_binop_1(X1,X0),X0)
| ~ v1_funct_1(X0)
| ~ m1_subset_1(X2,X1)
| ~ r3_binop_1(X1,X2,X0)
| ~ m1_subset_1(k3_binop_1(X1,X0),X1)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1) ),
inference(cnf_transformation,[],[f15189]) ).
tcf(c_1858,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( v1_xboole_0(X1)
| v1_xboole_0(X0)
| r3_binop_1(X0,X2,X4)
| ~ v1_funct_1(X5)
| ~ v1_funct_1(X4)
| ~ m1_subset_1(X3,X1)
| ~ m1_subset_1(X2,X0)
| ~ m2_relset_1(X5,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(X4,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X5,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X4,k2_zfmisc_1(X0,X0),X0)
| ~ r3_binop_1(k2_zfmisc_1(X0,X1),k1_domain_1(X0,X1,X2,X3),k7_filter_1(X0,X1,X4,X5)) ),
inference(cnf_transformation,[],[f12074]) ).
tcf(c_1859,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( v1_xboole_0(X1)
| v1_xboole_0(X0)
| r3_binop_1(X1,X3,X5)
| ~ v1_funct_1(X5)
| ~ v1_funct_1(X4)
| ~ m1_subset_1(X3,X1)
| ~ m1_subset_1(X2,X0)
| ~ m2_relset_1(X5,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(X4,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X5,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X4,k2_zfmisc_1(X0,X0),X0)
| ~ r3_binop_1(k2_zfmisc_1(X0,X1),k1_domain_1(X0,X1,X2,X3),k7_filter_1(X0,X1,X4,X5)) ),
inference(cnf_transformation,[],[f12073]) ).
tcf(c_1860,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( v1_xboole_0(X3)
| v1_xboole_0(X1)
| r3_binop_1(k2_zfmisc_1(X1,X3),k1_domain_1(X1,X3,X4,X5),k7_filter_1(X1,X3,X0,X2))
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X0)
| ~ m1_subset_1(X5,X3)
| ~ m1_subset_1(X4,X1)
| ~ r3_binop_1(X3,X5,X2)
| ~ r3_binop_1(X1,X4,X0)
| ~ m2_relset_1(X2,k2_zfmisc_1(X3,X3),X3)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X2,k2_zfmisc_1(X3,X3),X3)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1) ),
inference(cnf_transformation,[],[f12072]) ).
tcf(c_1861,plain,
! [X0: $i] :
( v3_struct_0(X0)
| r3_binop_1(u1_struct_0(X0),k5_lattices(X0),u2_lattices(X0))
| ~ v13_lattices(X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0) ),
inference(cnf_transformation,[],[f12075]) ).
tcf(c_1862,plain,
! [X0: $i] :
( v3_struct_0(X0)
| r3_binop_1(u1_struct_0(X0),k2_group_1(X0),u1_group_1(X0))
| ~ v2_group_1(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f12076]) ).
tcf(c_1863,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( k7_setwiseo(X1,X0,X4,X3,X5) = X2 )
| ~ sP22(X5,X4,X3,X2,X1,X0)
| ~ sP21(X0,X1,X2,X3,X4,X5) ),
inference(cnf_transformation,[],[f12078]) ).
tcf(c_1864,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sP21(X4,X3,k7_setwiseo(X3,X4,X1,X2,X0),X2,X1,X0)
| ~ sP22(X0,X1,X2,k7_setwiseo(X3,X4,X1,X2,X0),X3,X4) ),
inference(cnf_transformation,[],[f15190]) ).
tcf(c_1865,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( sP21(X1,X0,k8_funct_2(k5_finsub_1(X0),X1,X2,X5),X5,X4,X3)
| ~ v1_funct_1(X2)
| ~ m2_relset_1(X2,k5_finsub_1(X0),X1)
| ~ v1_funct_2(X2,k5_finsub_1(X0),X1)
| ~ sP20(X3,X1,X0,X2,X4,X5)
| ( sK282(X1,X4,X2) != k1_funct_1(X2,np__0) )
| ( k8_funct_2(k5_finsub_1(X0),X1,X2,k2_setwiseo(X0,sK283(X1,X0,X3,X2))) != k8_funct_2(X0,X1,X3,sK283(X1,X0,X3,X2)) ) ),
inference(cnf_transformation,[],[f15191]) ).
tcf(c_1866,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( m1_subset_1(sK283(X0,X4,X3,X2),X4)
| sP21(X0,X4,k8_funct_2(k5_finsub_1(X4),X0,X2,X5),X5,X1,X3)
| ~ v1_funct_1(X2)
| ~ m2_relset_1(X2,k5_finsub_1(X4),X0)
| ~ v1_funct_2(X2,k5_finsub_1(X4),X0)
| ~ sP20(X3,X0,X4,X2,X1,X5)
| ( sK282(X0,X1,X2) != k1_funct_1(X2,np__0) ) ),
inference(cnf_transformation,[],[f15192]) ).
tcf(c_1867,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( r3_binop_1(X1,sK282(X1,X4,X2),X4)
| sP21(X1,X0,k8_funct_2(k5_finsub_1(X0),X1,X2,X5),X5,X4,X3)
| ~ v1_funct_1(X2)
| ~ m2_relset_1(X2,k5_finsub_1(X0),X1)
| ~ v1_funct_2(X2,k5_finsub_1(X0),X1)
| ~ sP20(X3,X1,X0,X2,X4,X5)
| ( k8_funct_2(k5_finsub_1(X0),X1,X2,k2_setwiseo(X0,sK283(X1,X0,X3,X2))) != k8_funct_2(X0,X1,X3,sK283(X1,X0,X3,X2)) ) ),
inference(cnf_transformation,[],[f15193]) ).
tcf(c_1868,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( r3_binop_1(X1,sK282(X1,X4,X3),X4)
| m1_subset_1(sK283(X1,X2,X0,X3),X2)
| sP21(X1,X2,k8_funct_2(k5_finsub_1(X2),X1,X3,X5),X5,X4,X0)
| ~ v1_funct_1(X3)
| ~ m2_relset_1(X3,k5_finsub_1(X2),X1)
| ~ v1_funct_2(X3,k5_finsub_1(X2),X1)
| ~ sP20(X0,X1,X2,X3,X4,X5) ),
inference(cnf_transformation,[],[f15194]) ).
tcf(c_1869,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( m1_subset_1(sK282(X1,X4,X2),X1)
| sP21(X1,X0,k8_funct_2(k5_finsub_1(X0),X1,X2,X5),X5,X4,X3)
| ~ v1_funct_1(X2)
| ~ m2_relset_1(X2,k5_finsub_1(X0),X1)
| ~ v1_funct_2(X2,k5_finsub_1(X0),X1)
| ~ sP20(X3,X1,X0,X2,X4,X5)
| ( k8_funct_2(k5_finsub_1(X0),X1,X2,k2_setwiseo(X0,sK283(X1,X0,X3,X2))) != k8_funct_2(X0,X1,X3,sK283(X1,X0,X3,X2)) ) ),
inference(cnf_transformation,[],[f15195]) ).
tcf(c_1870,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( m1_subset_1(sK282(X1,X4,X3),X1)
| m1_subset_1(sK283(X1,X2,X0,X3),X2)
| sP21(X1,X2,k8_funct_2(k5_finsub_1(X2),X1,X3,X5),X5,X4,X0)
| ~ v1_funct_1(X3)
| ~ m2_relset_1(X3,k5_finsub_1(X2),X1)
| ~ v1_funct_2(X3,k5_finsub_1(X2),X1)
| ~ sP20(X0,X1,X2,X3,X4,X5) ),
inference(cnf_transformation,[],[f15196]) ).
tcf(c_1871,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( v1_funct_1(sK284(X0,X1,X2,X3,X4,X5))
| ~ sP21(X0,X1,X2,X3,X4,X5) ),
inference(cnf_transformation,[],[f12085]) ).
tcf(c_1872,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( v1_funct_2(sK284(X0,X1,X2,X3,X4,X5),k5_finsub_1(X1),X0)
| ~ sP21(X0,X1,X2,X3,X4,X5) ),
inference(cnf_transformation,[],[f12084]) ).
tcf(c_1873,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( m2_relset_1(sK284(X0,X1,X2,X3,X4,X5),k5_finsub_1(X1),X0)
| ~ sP21(X0,X1,X2,X3,X4,X5) ),
inference(cnf_transformation,[],[f12083]) ).
tcf(c_1874,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( k8_funct_2(k5_finsub_1(X1),X0,sK284(X0,X1,X2,X3,X4,X5),X3) = X2 )
| ~ sP21(X0,X1,X2,X3,X4,X5) ),
inference(cnf_transformation,[],[f12082]) ).
tcf(c_1875,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( ( k1_funct_1(sK284(X0,X1,X2,X3,X4,X5),np__0) = X6 )
| ~ m1_subset_1(X6,X0)
| ~ r3_binop_1(X0,X6,X4)
| ~ sP21(X0,X1,X2,X3,X4,X5) ),
inference(cnf_transformation,[],[f14529]) ).
tcf(c_1876,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( ( k8_funct_2(k5_finsub_1(X1),X0,sK284(X0,X1,X2,X3,X4,X5),k2_setwiseo(X1,X6)) = k8_funct_2(X1,X0,X5,X6) )
| ~ m1_subset_1(X6,X1)
| ~ sP21(X0,X1,X2,X3,X4,X5) ),
inference(cnf_transformation,[],[f12080]) ).
tcf(c_1877,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( sP20(X5,X0,X1,sK284(X0,X1,X2,X3,X4,X5),X4,X3)
| ~ sP21(X0,X1,X2,X3,X4,X5) ),
inference(cnf_transformation,[],[f12079]) ).
tcf(c_1885,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( v1_xboole_0(X3)
| v1_xboole_0(X1)
| sP22(X2,X0,X4,X5,X3,X1)
| ( X4 = np__0 )
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X0)
| ~ v3_binop_1(X0,X1)
| ~ v1_binop_1(X0,X1)
| ~ v2_binop_1(X0,X1)
| ~ m1_subset_1(X5,X1)
| ~ m1_subset_1(X4,k5_finsub_1(X3))
| ~ m2_relset_1(X2,X3,X1)
| ~ v1_funct_2(X2,X3,X1)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1) ),
inference(cnf_transformation,[],[f14532]) ).
tcf(c_1886,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( v1_xboole_0(X3)
| v1_xboole_0(X1)
| sP22(X2,X0,X4,X5,X3,X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X0)
| ~ v3_binop_1(X0,X1)
| ~ v1_binop_1(X0,X1)
| ~ v2_binop_1(X0,X1)
| ~ v1_setwiseo(X0,X1)
| ~ m1_subset_1(X5,X1)
| ~ m1_subset_1(X4,k5_finsub_1(X3))
| ~ m2_relset_1(X2,X3,X1)
| ~ v1_funct_2(X2,X3,X1)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1) ),
inference(cnf_transformation,[],[f12099]) ).
tcf(c_1887,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_xboole_0(X1)
| v1_setwiseo(X0,X1)
| ~ v1_funct_1(X0)
| ~ m1_subset_1(X2,X1)
| ~ r3_binop_1(X1,X2,X0)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1) ),
inference(cnf_transformation,[],[f12103]) ).
tcf(c_1888,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(X1)
| m1_subset_1(sK287(X1,X0),X1)
| ~ v1_funct_1(X0)
| ~ v1_setwiseo(X0,X1)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1) ),
inference(cnf_transformation,[],[f12102]) ).
tcf(c_1889,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(X1)
| r3_binop_1(X1,sK287(X1,X0),X0)
| ~ v1_funct_1(X0)
| ~ v1_setwiseo(X0,X1)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1) ),
inference(cnf_transformation,[],[f12101]) ).
tcf(c_1890,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X2 = X3 )
| ~ v1_funct_1(X0)
| ~ m1_subset_1(X3,X1)
| ~ m1_subset_1(X2,X1)
| ~ r3_binop_1(X1,X3,X0)
| ~ r3_binop_1(X1,X2,X0)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1) ),
inference(cnf_transformation,[],[f12104]) ).
tcf(c_1891,plain,
! [X0: $i,X1: $i,X2: $i] :
( r3_binop_1(X1,X2,X0)
| ~ v1_funct_1(X0)
| ~ v1_binop_1(X0,X1)
| ~ m1_subset_1(X2,X1)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1)
| ( k1_binop_1(X0,sK288(X1,X0,X2),X2) != sK288(X1,X0,X2) ) ),
inference(cnf_transformation,[],[f12107]) ).
tcf(c_1892,plain,
! [X0: $i,X1: $i,X2: $i] :
( r3_binop_1(X1,X2,X0)
| m1_subset_1(sK288(X1,X0,X2),X1)
| ~ v1_funct_1(X0)
| ~ v1_binop_1(X0,X1)
| ~ m1_subset_1(X2,X1)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1) ),
inference(cnf_transformation,[],[f12106]) ).
tcf(c_1894,plain,
! [X0: $i,X1: $i,X2: $i] :
( r3_binop_1(X2,X1,X0)
| ~ v1_funct_1(X0)
| ~ v1_binop_1(X0,X2)
| ~ m1_subset_1(X1,X2)
| ~ m2_relset_1(X0,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_2(X0,k2_zfmisc_1(X2,X2),X2)
| ( k1_binop_1(X0,X1,sK289(X2,X0,X1)) != sK289(X2,X0,X1) ) ),
inference(cnf_transformation,[],[f12110]) ).
tcf(c_1895,plain,
! [X0: $i,X1: $i,X2: $i] :
( r3_binop_1(X1,X2,X0)
| m1_subset_1(sK289(X1,X0,X2),X1)
| ~ v1_funct_1(X0)
| ~ v1_binop_1(X0,X1)
| ~ m1_subset_1(X2,X1)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1) ),
inference(cnf_transformation,[],[f12109]) ).
tcf(c_1897,plain,
! [X0: $i,X1: $i,X2: $i] :
( r3_binop_1(X1,X2,X0)
| ~ v1_funct_1(X0)
| ~ m1_subset_1(X2,X1)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1)
| ( k1_binop_1(X0,X2,sK290(X1,X0,X2)) != sK290(X1,X0,X2) )
| ( k1_binop_1(X0,sK290(X1,X0,X2),X2) != sK290(X1,X0,X2) ) ),
inference(cnf_transformation,[],[f12114]) ).
tcf(c_1898,plain,
! [X0: $i,X1: $i,X2: $i] :
( r3_binop_1(X1,X2,X0)
| m1_subset_1(sK290(X1,X0,X2),X1)
| ~ v1_funct_1(X0)
| ~ m1_subset_1(X2,X1)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1) ),
inference(cnf_transformation,[],[f12113]) ).
tcf(c_1899,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( k1_binop_1(X0,X2,X3) = X3 )
| ~ v1_funct_1(X0)
| ~ m1_subset_1(X3,X1)
| ~ m1_subset_1(X2,X1)
| ~ r3_binop_1(X1,X2,X0)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1) ),
inference(cnf_transformation,[],[f12112]) ).
tcf(c_1900,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( k1_binop_1(X0,X3,X2) = X3 )
| ~ v1_funct_1(X0)
| ~ m1_subset_1(X3,X1)
| ~ m1_subset_1(X2,X1)
| ~ r3_binop_1(X1,X2,X0)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1) ),
inference(cnf_transformation,[],[f12111]) ).
tcf(c_1901,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( v1_xboole_0(X3)
| v1_xboole_0(X1)
| ( k2_binop_1(X1,X1,X1,X0,k7_setwiseo(X3,X1,X0,X4,X2),k7_setwiseo(X3,X1,X0,X5,X2)) = k7_setwiseo(X3,X1,X0,k5_setwiseo(X3,X4,X5),X2) )
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X0)
| ~ v3_binop_1(X0,X1)
| ~ v1_binop_1(X0,X1)
| ~ v2_binop_1(X0,X1)
| ~ v1_setwiseo(X0,X1)
| ~ m1_subset_1(X5,k5_finsub_1(X3))
| ~ m1_subset_1(X4,k5_finsub_1(X3))
| ~ m2_relset_1(X2,X3,X1)
| ~ v1_funct_2(X2,X3,X1)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1) ),
inference(cnf_transformation,[],[f12115]) ).
tcf(c_1902,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( v1_xboole_0(X3)
| v1_xboole_0(X1)
| ( k2_binop_1(X1,X1,X1,X0,k7_setwiseo(X3,X1,X0,X4,X2),k8_funct_2(X3,X1,X2,X5)) = k7_setwiseo(X3,X1,X0,k5_setwiseo(X3,X4,k2_setwiseo(X3,X5)),X2) )
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X0)
| ~ v3_binop_1(X0,X1)
| ~ v1_binop_1(X0,X1)
| ~ v2_binop_1(X0,X1)
| ~ v1_setwiseo(X0,X1)
| ~ m1_subset_1(X5,X3)
| ~ m1_subset_1(X4,k5_finsub_1(X3))
| ~ m2_relset_1(X2,X3,X1)
| ~ v1_funct_2(X2,X3,X1)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1) ),
inference(cnf_transformation,[],[f12116]) ).
tcf(c_1903,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( v1_xboole_0(X2)
| v1_xboole_0(X1)
| m1_subset_1(k2_binop_1(X1,X2,X3,X0,X4,X5),X3)
| ~ v1_funct_1(X0)
| ~ m1_subset_1(X5,X2)
| ~ m1_subset_1(X4,X1)
| ~ m1_relset_1(X0,k2_zfmisc_1(X1,X2),X3)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X2),X3) ),
inference(cnf_transformation,[],[f12117]) ).
tcf(c_1904,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(X0)
| v2_binop_1(X1,X0)
| ~ v1_funct_1(X1)
| ~ m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ( k2_binop_1(X0,X0,X0,X1,k2_binop_1(X0,X0,X0,X1,sK291(X0,X1),sK292(X0,X1)),sK293(X0,X1)) != k2_binop_1(X0,X0,X0,X1,sK291(X0,X1),k2_binop_1(X0,X0,X0,X1,sK292(X0,X1),sK293(X0,X1))) ) ),
inference(cnf_transformation,[],[f12122]) ).
tcf(c_1905,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(X1)
| v2_binop_1(X0,X1)
| m1_subset_1(sK293(X1,X0),X1)
| ~ v1_funct_1(X0)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1) ),
inference(cnf_transformation,[],[f12121]) ).
tcf(c_1906,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(X1)
| v2_binop_1(X0,X1)
| m1_subset_1(sK292(X1,X0),X1)
| ~ v1_funct_1(X0)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1) ),
inference(cnf_transformation,[],[f12120]) ).
tcf(c_1907,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(X1)
| v2_binop_1(X0,X1)
| m1_subset_1(sK291(X1,X0),X1)
| ~ v1_funct_1(X0)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1) ),
inference(cnf_transformation,[],[f12119]) ).
tcf(c_1908,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( v1_xboole_0(X1)
| ( k2_binop_1(X1,X1,X1,X0,k2_binop_1(X1,X1,X1,X0,X2,X4),X3) = k2_binop_1(X1,X1,X1,X0,X2,k2_binop_1(X1,X1,X1,X0,X4,X3)) )
| ~ v1_funct_1(X0)
| ~ v2_binop_1(X0,X1)
| ~ m1_subset_1(X4,X1)
| ~ m1_subset_1(X3,X1)
| ~ m1_subset_1(X2,X1)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1) ),
inference(cnf_transformation,[],[f12118]) ).
tcf(c_1909,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(X0)
| v1_binop_1(X1,X0)
| ~ v1_funct_1(X1)
| ~ m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ( k2_binop_1(X0,X0,X0,X1,sK294(X0,X1),sK295(X0,X1)) != k2_binop_1(X0,X0,X0,X1,sK295(X0,X1),sK294(X0,X1)) ) ),
inference(cnf_transformation,[],[f12126]) ).
tcf(c_1910,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(X1)
| v1_binop_1(X0,X1)
| m1_subset_1(sK295(X1,X0),X1)
| ~ v1_funct_1(X0)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1) ),
inference(cnf_transformation,[],[f12125]) ).
tcf(c_1911,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(X1)
| v1_binop_1(X0,X1)
| m1_subset_1(sK294(X1,X0),X1)
| ~ v1_funct_1(X0)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1) ),
inference(cnf_transformation,[],[f12124]) ).
tcf(c_1912,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v1_xboole_0(X1)
| ( k2_binop_1(X1,X1,X1,X0,X2,X3) = k2_binop_1(X1,X1,X1,X0,X3,X2) )
| ~ v1_funct_1(X0)
| ~ v1_binop_1(X0,X1)
| ~ m1_subset_1(X3,X1)
| ~ m1_subset_1(X2,X1)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1) ),
inference(cnf_transformation,[],[f12123]) ).
tcf(c_1913,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( v1_xboole_0(X2)
| v1_xboole_0(X1)
| v1_xboole_0(X0)
| ( X3 = X4 )
| ~ v1_funct_1(X4)
| ~ v1_funct_1(X3)
| ~ m2_relset_1(X4,k2_zfmisc_1(X0,X1),X2)
| ~ m2_relset_1(X3,k2_zfmisc_1(X0,X1),X2)
| ~ v1_funct_2(X4,k2_zfmisc_1(X0,X1),X2)
| ~ v1_funct_2(X3,k2_zfmisc_1(X0,X1),X2)
| ( k2_binop_1(X0,X1,X2,X3,sK296(X0,X1,X2,X3,X4),sK297(X0,X1,X2,X3,X4)) != k2_binop_1(X0,X1,X2,X4,sK296(X0,X1,X2,X3,X4),sK297(X0,X1,X2,X3,X4)) ) ),
inference(cnf_transformation,[],[f12129]) ).
tcf(c_1914,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( v1_xboole_0(X3)
| v1_xboole_0(X2)
| v1_xboole_0(X1)
| m1_subset_1(sK297(X1,X2,X3,X0,X4),X2)
| ( X0 = X4 )
| ~ v1_funct_1(X4)
| ~ v1_funct_1(X0)
| ~ m2_relset_1(X4,k2_zfmisc_1(X1,X2),X3)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X2),X3)
| ~ v1_funct_2(X4,k2_zfmisc_1(X1,X2),X3)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X2),X3) ),
inference(cnf_transformation,[],[f12128]) ).
tcf(c_1915,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( v1_xboole_0(X3)
| v1_xboole_0(X2)
| v1_xboole_0(X1)
| m1_subset_1(sK296(X1,X2,X3,X0,X4),X1)
| ( X0 = X4 )
| ~ v1_funct_1(X4)
| ~ v1_funct_1(X0)
| ~ m2_relset_1(X4,k2_zfmisc_1(X1,X2),X3)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X2),X3)
| ~ v1_funct_2(X4,k2_zfmisc_1(X1,X2),X3)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X2),X3) ),
inference(cnf_transformation,[],[f12127]) ).
tcf(c_1916,plain,
! [X0: $i] :
( l1_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f12131]) ).
tcf(c_1917,plain,
! [X0: $i] :
( l2_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f12130]) ).
tcf(c_1918,plain,
l2_lattices(sK298),
inference(cnf_transformation,[],[f12132]) ).
tcf(c_1919,plain,
! [X0: $i] :
( l1_struct_0(X0)
| ~ l2_lattices(X0) ),
inference(cnf_transformation,[],[f12133]) ).
tcf(c_1921,plain,
! [X0: $i] :
( v3_struct_0(X0)
| v1_relat_1(u1_lattices(X0))
| ~ l1_lattices(X0)
| ~ v6_lattices(X0) ),
inference(cnf_transformation,[],[f12139]) ).
tcf(c_1924,plain,
! [X0: $i] :
( v3_struct_0(X0)
| v1_binop_1(u1_lattices(X0),u1_struct_0(X0))
| ~ l1_lattices(X0)
| ~ v6_lattices(X0) ),
inference(cnf_transformation,[],[f12136]) ).
tcf(c_1925,plain,
! [X0: $i] :
( v3_struct_0(X0)
| v1_partfun1(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ l1_lattices(X0)
| ~ v6_lattices(X0) ),
inference(cnf_transformation,[],[f12135]) ).
tcf(c_1926,plain,
! [X0: $i] :
( v1_funct_1(u1_lattices(X0))
| ~ l1_lattices(X0) ),
inference(cnf_transformation,[],[f12142]) ).
tcf(c_1927,plain,
! [X0: $i] :
( v1_funct_2(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ l1_lattices(X0) ),
inference(cnf_transformation,[],[f12141]) ).
tcf(c_1928,plain,
! [X0: $i] :
( m2_relset_1(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ l1_lattices(X0) ),
inference(cnf_transformation,[],[f12140]) ).
tcf(c_1929,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X1)
| ( k4_lattices(X1,X0,X2) = k2_lattices(X1,X0,X2) )
| ~ l1_lattices(X1)
| ~ v6_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f12143]) ).
tcf(c_1930,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X1)
| ( k4_lattices(X1,X0,X2) = k4_lattices(X1,X2,X0) )
| ~ l1_lattices(X1)
| ~ v6_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f12144]) ).
tcf(c_1931,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X1)
| m1_subset_1(k4_lattices(X1,X0,X2),u1_struct_0(X1))
| ~ l1_lattices(X1)
| ~ v6_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f12145]) ).
tcf(c_1932,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X1)
| m1_subset_1(k2_lattices(X1,X0,X2),u1_struct_0(X1))
| ~ l1_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f12146]) ).
tcf(c_1933,plain,
l1_lattices(sK299),
inference(cnf_transformation,[],[f12147]) ).
tcf(c_1934,plain,
! [X0: $i] :
( l1_struct_0(X0)
| ~ l1_lattices(X0) ),
inference(cnf_transformation,[],[f12148]) ).
tcf(c_1935,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X0)
| ( k5_lattices(X0) = X1 )
| ~ l1_lattices(X0)
| ~ v13_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ( k2_lattices(X0,X1,sK300(X0,X1)) != X1 )
| ( k2_lattices(X0,sK300(X0,X1),X1) != X1 ) ),
inference(cnf_transformation,[],[f12152]) ).
tcf(c_1936,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| m1_subset_1(sK300(X1,X0),u1_struct_0(X1))
| ( k5_lattices(X1) = X0 )
| ~ l1_lattices(X1)
| ~ v13_lattices(X1)
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f12151]) ).
tcf(c_1937,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X0)
| ( k2_lattices(X0,k5_lattices(X0),X1) = k5_lattices(X0) )
| ~ l1_lattices(X0)
| ~ v13_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(k5_lattices(X0),u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f15197]) ).
tcf(c_1938,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X0)
| ( k2_lattices(X0,X1,k5_lattices(X0)) = k5_lattices(X0) )
| ~ l1_lattices(X0)
| ~ v13_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(k5_lattices(X0),u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f15198]) ).
tcf(c_1939,plain,
! [X0: $i,X1: $i] :
( v13_lattices(X0)
| v3_struct_0(X0)
| ~ l1_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ( k2_lattices(X0,X1,sK301(X0,X1)) != X1 )
| ( k2_lattices(X0,sK301(X0,X1),X1) != X1 ) ),
inference(cnf_transformation,[],[f12157]) ).
tcf(c_1940,plain,
! [X0: $i,X1: $i] :
( v13_lattices(X1)
| v3_struct_0(X1)
| m1_subset_1(sK301(X1,X0),u1_struct_0(X1))
| ~ l1_lattices(X1)
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f12156]) ).
tcf(c_1941,plain,
! [X0: $i] :
( v3_struct_0(X0)
| m1_subset_1(sK302(X0),u1_struct_0(X0))
| ~ l1_lattices(X0)
| ~ v13_lattices(X0) ),
inference(cnf_transformation,[],[f12155]) ).
tcf(c_1942,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| ( k2_lattices(X1,sK302(X1),X0) = sK302(X1) )
| ~ l1_lattices(X1)
| ~ v13_lattices(X1)
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f12154]) ).
tcf(c_1943,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| ( k2_lattices(X1,X0,sK302(X1)) = sK302(X1) )
| ~ l1_lattices(X1)
| ~ v13_lattices(X1)
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f12153]) ).
tcf(c_1944,plain,
! [X0: $i] :
( v7_lattices(X0)
| v3_struct_0(X0)
| ~ l1_lattices(X0)
| ( k2_lattices(X0,k2_lattices(X0,sK303(X0),sK304(X0)),sK305(X0)) != k2_lattices(X0,sK303(X0),k2_lattices(X0,sK304(X0),sK305(X0))) ) ),
inference(cnf_transformation,[],[f12162]) ).
tcf(c_1945,plain,
! [X0: $i] :
( v7_lattices(X0)
| v3_struct_0(X0)
| m1_subset_1(sK305(X0),u1_struct_0(X0))
| ~ l1_lattices(X0) ),
inference(cnf_transformation,[],[f12161]) ).
tcf(c_1946,plain,
! [X0: $i] :
( v7_lattices(X0)
| v3_struct_0(X0)
| m1_subset_1(sK304(X0),u1_struct_0(X0))
| ~ l1_lattices(X0) ),
inference(cnf_transformation,[],[f12160]) ).
tcf(c_1947,plain,
! [X0: $i] :
( v7_lattices(X0)
| v3_struct_0(X0)
| m1_subset_1(sK303(X0),u1_struct_0(X0))
| ~ l1_lattices(X0) ),
inference(cnf_transformation,[],[f12159]) ).
tcf(c_1948,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v3_struct_0(X1)
| ( k2_lattices(X1,k2_lattices(X1,X0,X2),X3) = k2_lattices(X1,X0,k2_lattices(X1,X2,X3)) )
| ~ l1_lattices(X1)
| ~ v7_lattices(X1)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f12158]) ).
tcf(c_1949,plain,
! [X0: $i] :
( v6_lattices(X0)
| v3_struct_0(X0)
| ~ l1_lattices(X0)
| ( k2_lattices(X0,sK306(X0),sK307(X0)) != k2_lattices(X0,sK307(X0),sK306(X0)) ) ),
inference(cnf_transformation,[],[f12166]) ).
tcf(c_1950,plain,
! [X0: $i] :
( v6_lattices(X0)
| v3_struct_0(X0)
| m1_subset_1(sK307(X0),u1_struct_0(X0))
| ~ l1_lattices(X0) ),
inference(cnf_transformation,[],[f12165]) ).
tcf(c_1951,plain,
! [X0: $i] :
( v6_lattices(X0)
| v3_struct_0(X0)
| m1_subset_1(sK306(X0),u1_struct_0(X0))
| ~ l1_lattices(X0) ),
inference(cnf_transformation,[],[f12164]) ).
tcf(c_1952,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X1)
| ( k2_lattices(X1,X0,X2) = k2_lattices(X1,X2,X0) )
| ~ l1_lattices(X1)
| ~ v6_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f12163]) ).
tcf(c_1953,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X1)
| ( k2_binop_1(u1_struct_0(X1),u1_struct_0(X1),u1_struct_0(X1),u1_lattices(X1),X0,X2) = k2_lattices(X1,X0,X2) )
| ~ l1_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f12167]) ).
tcf(c_1954,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v3_struct_0(X1)
| ( k3_lattices(X1,k2_lattice2(u1_struct_0(X1),X1,X2,X0),k8_funct_2(u1_struct_0(X1),u1_struct_0(X1),X0,X3)) = k2_lattice2(u1_struct_0(X1),X1,k5_setwiseo(u1_struct_0(X1),X2,k2_setwiseo(u1_struct_0(X1),X3)),X0) )
| ~ v13_lattices(X1)
| ~ v1_funct_1(X0)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,k5_finsub_1(u1_struct_0(X1)))
| ~ m2_relset_1(X0,u1_struct_0(X1),u1_struct_0(X1))
| ~ v1_funct_2(X0,u1_struct_0(X1),u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f12168]) ).
tcf(c_1955,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v1_xboole_0(X1)
| v3_struct_0(X2)
| m1_subset_1(k2_lattice2(X1,X2,X3,X0),u1_struct_0(X2))
| ~ v1_funct_1(X0)
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| ~ m1_subset_1(X3,k5_finsub_1(X1))
| ~ m1_relset_1(X0,X1,u1_struct_0(X2))
| ~ v1_funct_2(X0,X1,u1_struct_0(X2)) ),
inference(cnf_transformation,[],[f12169]) ).
tcf(c_1956,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( v1_xboole_0(X1)
| v3_struct_0(X0)
| r3_lattices(X0,k2_lattice2(X1,X0,X3,X2),k2_lattice2(X1,X0,X3,X4))
| ~ v13_lattices(X0)
| ~ v1_funct_1(X4)
| ~ v1_funct_1(X2)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| ~ m1_subset_1(X3,k5_finsub_1(X1))
| ~ m2_relset_1(X4,X1,u1_struct_0(X0))
| ~ m2_relset_1(X2,X1,u1_struct_0(X0))
| ~ v1_funct_2(X4,X1,u1_struct_0(X0))
| ~ v1_funct_2(X2,X1,u1_struct_0(X0))
| ~ r3_lattices(X0,k8_funct_2(X1,u1_struct_0(X0),X2,sK308(X1,X3,X0,X2,X4)),k8_funct_2(X1,u1_struct_0(X0),X4,sK308(X1,X3,X0,X2,X4))) ),
inference(cnf_transformation,[],[f12172]) ).
tcf(c_1957,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( v1_xboole_0(X1)
| v3_struct_0(X2)
| r2_hidden(sK308(X1,X4,X2,X0,X3),X4)
| r3_lattices(X2,k2_lattice2(X1,X2,X4,X0),k2_lattice2(X1,X2,X4,X3))
| ~ v13_lattices(X2)
| ~ v1_funct_1(X3)
| ~ v1_funct_1(X0)
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| ~ m1_subset_1(X4,k5_finsub_1(X1))
| ~ m2_relset_1(X3,X1,u1_struct_0(X2))
| ~ m2_relset_1(X0,X1,u1_struct_0(X2))
| ~ v1_funct_2(X3,X1,u1_struct_0(X2))
| ~ v1_funct_2(X0,X1,u1_struct_0(X2)) ),
inference(cnf_transformation,[],[f12171]) ).
tcf(c_1958,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( v1_xboole_0(X1)
| v3_struct_0(X2)
| m1_subset_1(sK308(X1,X4,X2,X0,X3),X1)
| r3_lattices(X2,k2_lattice2(X1,X2,X4,X0),k2_lattice2(X1,X2,X4,X3))
| ~ v13_lattices(X2)
| ~ v1_funct_1(X3)
| ~ v1_funct_1(X0)
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| ~ m1_subset_1(X4,k5_finsub_1(X1))
| ~ m2_relset_1(X3,X1,u1_struct_0(X2))
| ~ m2_relset_1(X0,X1,u1_struct_0(X2))
| ~ v1_funct_2(X3,X1,u1_struct_0(X2))
| ~ v1_funct_2(X0,X1,u1_struct_0(X2)) ),
inference(cnf_transformation,[],[f12170]) ).
tcf(c_1959,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( v1_xboole_0(X1)
| v3_struct_0(X0)
| r3_lattices(X0,k2_lattice2(X1,X0,X3,X2),X4)
| ~ v13_lattices(X0)
| ~ v1_funct_1(X2)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| ~ m1_subset_1(X4,u1_struct_0(X0))
| ~ m1_subset_1(X3,k5_finsub_1(X1))
| ~ m2_relset_1(X2,X1,u1_struct_0(X0))
| ~ v1_funct_2(X2,X1,u1_struct_0(X0))
| ~ r3_lattices(X0,k8_funct_2(X1,u1_struct_0(X0),X2,sK309(X1,X3,X0,X2,X4)),X4) ),
inference(cnf_transformation,[],[f12175]) ).
tcf(c_1960,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( v1_xboole_0(X1)
| v3_struct_0(X2)
| r3_lattices(X2,k2_lattice2(X1,X2,X3,X0),X4)
| r2_hidden(sK309(X1,X3,X2,X0,X4),X3)
| ~ v13_lattices(X2)
| ~ v1_funct_1(X0)
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| ~ m1_subset_1(X4,u1_struct_0(X2))
| ~ m1_subset_1(X3,k5_finsub_1(X1))
| ~ m2_relset_1(X0,X1,u1_struct_0(X2))
| ~ v1_funct_2(X0,X1,u1_struct_0(X2)) ),
inference(cnf_transformation,[],[f12174]) ).
tcf(c_1961,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( v1_xboole_0(X1)
| v3_struct_0(X2)
| r3_lattices(X2,k2_lattice2(X1,X2,X3,X0),X4)
| m1_subset_1(sK309(X1,X3,X2,X0,X4),X1)
| ~ v13_lattices(X2)
| ~ v1_funct_1(X0)
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| ~ m1_subset_1(X4,u1_struct_0(X2))
| ~ m1_subset_1(X3,k5_finsub_1(X1))
| ~ m2_relset_1(X0,X1,u1_struct_0(X2))
| ~ v1_funct_2(X0,X1,u1_struct_0(X2)) ),
inference(cnf_transformation,[],[f12173]) ).
tcf(c_1962,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( v1_xboole_0(X0)
| v3_struct_0(X1)
| ( k2_lattice2(X0,X1,X3,X2) = k2_lattice2(X0,X1,X3,X4) )
| ~ v13_lattices(X1)
| ~ v1_funct_1(X4)
| ~ v1_funct_1(X2)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X3,k5_finsub_1(X0))
| ~ m2_relset_1(X4,X0,u1_struct_0(X1))
| ~ m2_relset_1(X2,X0,u1_struct_0(X1))
| ~ v1_funct_2(X4,X0,u1_struct_0(X1))
| ~ v1_funct_2(X2,X0,u1_struct_0(X1))
| ( k2_partfun1(X0,u1_struct_0(X1),X2,X3) != k2_partfun1(X0,u1_struct_0(X1),X4,X3) ) ),
inference(cnf_transformation,[],[f12176]) ).
tcf(c_1963,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( v1_xboole_0(X0)
| v3_struct_0(X1)
| ( X3 = np__0 )
| ( k2_lattice2(X0,X1,X3,X2) = k2_lattice2(X0,X1,X3,X4) )
| ~ v1_funct_1(X4)
| ~ v1_funct_1(X2)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X3,k5_finsub_1(X0))
| ~ m2_relset_1(X4,X0,u1_struct_0(X1))
| ~ m2_relset_1(X2,X0,u1_struct_0(X1))
| ~ v1_funct_2(X4,X0,u1_struct_0(X1))
| ~ v1_funct_2(X2,X0,u1_struct_0(X1))
| ( k2_partfun1(X0,u1_struct_0(X1),X2,X3) != k2_partfun1(X0,u1_struct_0(X1),X4,X3) ) ),
inference(cnf_transformation,[],[f14533]) ).
tcf(c_1964,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( v1_xboole_0(X1)
| v3_struct_0(X0)
| r3_lattices(X0,k2_lattice2(X1,X0,X3,X2),k2_lattice2(X1,X0,X3,X4))
| ( X3 = np__0 )
| ~ v1_funct_1(X4)
| ~ v1_funct_1(X2)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| ~ m1_subset_1(X3,k5_finsub_1(X1))
| ~ m2_relset_1(X4,X1,u1_struct_0(X0))
| ~ m2_relset_1(X2,X1,u1_struct_0(X0))
| ~ v1_funct_2(X4,X1,u1_struct_0(X0))
| ~ v1_funct_2(X2,X1,u1_struct_0(X0))
| ~ r3_lattices(X0,k8_funct_2(X1,u1_struct_0(X0),X2,sK310(X0,X1,X3,X2,X4)),k8_funct_2(X1,u1_struct_0(X0),X4,sK310(X0,X1,X3,X2,X4))) ),
inference(cnf_transformation,[],[f14534]) ).
tcf(c_1965,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( v1_xboole_0(X1)
| v3_struct_0(X2)
| r2_hidden(sK310(X2,X1,X4,X0,X3),X4)
| r3_lattices(X2,k2_lattice2(X1,X2,X4,X0),k2_lattice2(X1,X2,X4,X3))
| ( X4 = np__0 )
| ~ v1_funct_1(X3)
| ~ v1_funct_1(X0)
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| ~ m1_subset_1(X4,k5_finsub_1(X1))
| ~ m2_relset_1(X3,X1,u1_struct_0(X2))
| ~ m2_relset_1(X0,X1,u1_struct_0(X2))
| ~ v1_funct_2(X3,X1,u1_struct_0(X2))
| ~ v1_funct_2(X0,X1,u1_struct_0(X2)) ),
inference(cnf_transformation,[],[f14535]) ).
tcf(c_1966,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( v1_xboole_0(X1)
| v3_struct_0(X2)
| m1_subset_1(sK310(X2,X1,X4,X0,X3),X1)
| r3_lattices(X2,k2_lattice2(X1,X2,X4,X0),k2_lattice2(X1,X2,X4,X3))
| ( X4 = np__0 )
| ~ v1_funct_1(X3)
| ~ v1_funct_1(X0)
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| ~ m1_subset_1(X4,k5_finsub_1(X1))
| ~ m2_relset_1(X3,X1,u1_struct_0(X2))
| ~ m2_relset_1(X0,X1,u1_struct_0(X2))
| ~ v1_funct_2(X3,X1,u1_struct_0(X2))
| ~ v1_funct_2(X0,X1,u1_struct_0(X2)) ),
inference(cnf_transformation,[],[f14536]) ).
tcf(c_1967,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( v1_xboole_0(X1)
| v3_struct_0(X0)
| r3_lattices(X0,k2_lattice2(X1,X0,X4,X2),X3)
| ( X4 = np__0 )
| ~ v1_funct_1(X2)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| ~ m1_subset_1(X4,k5_finsub_1(X1))
| ~ m1_subset_1(X3,u1_struct_0(X0))
| ~ m2_relset_1(X2,X1,u1_struct_0(X0))
| ~ v1_funct_2(X2,X1,u1_struct_0(X0))
| ~ r3_lattices(X0,k8_funct_2(X1,u1_struct_0(X0),X2,sK311(X0,X3,X1,X4,X2)),X3) ),
inference(cnf_transformation,[],[f14537]) ).
tcf(c_1968,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( v1_xboole_0(X1)
| v3_struct_0(X2)
| r3_lattices(X2,k2_lattice2(X1,X2,X4,X0),X3)
| r2_hidden(sK311(X2,X3,X1,X4,X0),X4)
| ( X4 = np__0 )
| ~ v1_funct_1(X0)
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| ~ m1_subset_1(X4,k5_finsub_1(X1))
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ m2_relset_1(X0,X1,u1_struct_0(X2))
| ~ v1_funct_2(X0,X1,u1_struct_0(X2)) ),
inference(cnf_transformation,[],[f14538]) ).
tcf(c_1969,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( v1_xboole_0(X1)
| v3_struct_0(X2)
| r3_lattices(X2,k2_lattice2(X1,X2,X4,X0),X3)
| m1_subset_1(sK311(X2,X3,X1,X4,X0),X1)
| ( X4 = np__0 )
| ~ v1_funct_1(X0)
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| ~ m1_subset_1(X4,k5_finsub_1(X1))
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ m2_relset_1(X0,X1,u1_struct_0(X2))
| ~ v1_funct_2(X0,X1,u1_struct_0(X2)) ),
inference(cnf_transformation,[],[f14539]) ).
tcf(c_1970,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( v1_xboole_0(X1)
| v3_struct_0(X0)
| r3_lattices(X0,k8_funct_2(X1,u1_struct_0(X0),X3,X5),X4)
| ~ v1_funct_1(X3)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| ~ r2_hidden(X5,X2)
| ~ m1_subset_1(X5,X1)
| ~ m1_subset_1(X4,u1_struct_0(X0))
| ~ m1_subset_1(X2,k5_finsub_1(X1))
| ~ m2_relset_1(X3,X1,u1_struct_0(X0))
| ~ v1_funct_2(X3,X1,u1_struct_0(X0))
| ~ r3_lattices(X0,k2_lattice2(X1,X0,X2,X3),X4) ),
inference(cnf_transformation,[],[f12184]) ).
tcf(c_1971,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( v1_xboole_0(X0)
| v3_struct_0(X1)
| ( X4 = np__0 )
| ( k2_lattice2(X0,X1,X4,X2) = X3 )
| ~ v1_funct_1(X2)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X4,k5_finsub_1(X0))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m2_relset_1(X2,X0,u1_struct_0(X1))
| ~ v1_funct_2(X2,X0,u1_struct_0(X1))
| ( k8_funct_2(X0,u1_struct_0(X1),X2,sK312(X1,X3,X0,X4,X2)) != X3 ) ),
inference(cnf_transformation,[],[f14540]) ).
tcf(c_1972,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( v1_xboole_0(X1)
| v3_struct_0(X2)
| r2_hidden(sK312(X2,X3,X1,X4,X0),X4)
| ( X4 = np__0 )
| ( k2_lattice2(X1,X2,X4,X0) = X3 )
| ~ v1_funct_1(X0)
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| ~ m1_subset_1(X4,k5_finsub_1(X1))
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ m2_relset_1(X0,X1,u1_struct_0(X2))
| ~ v1_funct_2(X0,X1,u1_struct_0(X2)) ),
inference(cnf_transformation,[],[f14541]) ).
tcf(c_1973,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( v1_xboole_0(X1)
| v3_struct_0(X2)
| m1_subset_1(sK312(X2,X3,X1,X4,X0),X1)
| ( X4 = np__0 )
| ( k2_lattice2(X1,X2,X4,X0) = X3 )
| ~ v1_funct_1(X0)
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| ~ m1_subset_1(X4,k5_finsub_1(X1))
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ m2_relset_1(X0,X1,u1_struct_0(X2))
| ~ v1_funct_2(X0,X1,u1_struct_0(X2)) ),
inference(cnf_transformation,[],[f14542]) ).
tcf(c_1974,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( v1_xboole_0(X2)
| v3_struct_0(X0)
| r3_lattices(X0,X1,k2_lattice2(X2,X0,X5,X3))
| ~ v1_funct_1(X3)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| ~ r2_hidden(X4,X5)
| ~ m1_subset_1(X4,X2)
| ~ m1_subset_1(X5,k5_finsub_1(X2))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m2_relset_1(X3,X2,u1_struct_0(X0))
| ~ v1_funct_2(X3,X2,u1_struct_0(X0))
| ~ r3_lattices(X0,X1,k8_funct_2(X2,u1_struct_0(X0),X3,X4)) ),
inference(cnf_transformation,[],[f12188]) ).
tcf(c_1975,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( v1_xboole_0(X1)
| v3_struct_0(X2)
| r3_lattices(X2,k8_funct_2(X1,u1_struct_0(X2),X0,X4),k2_lattice2(X1,X2,X3,X0))
| ~ v1_funct_1(X0)
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| ~ r2_hidden(X4,X3)
| ~ m1_subset_1(X4,X1)
| ~ m1_subset_1(X3,k5_finsub_1(X1))
| ~ m2_relset_1(X0,X1,u1_struct_0(X2))
| ~ v1_funct_2(X0,X1,u1_struct_0(X2)) ),
inference(cnf_transformation,[],[f12189]) ).
tcf(c_1976,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v1_xboole_0(X1)
| v3_struct_0(X2)
| ( k7_setwiseo(X1,u1_struct_0(X2),u2_lattices(X2),X3,X0) = k2_lattice2(X1,X2,X3,X0) )
| ~ v1_funct_1(X0)
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| ~ m1_subset_1(X3,k5_finsub_1(X1))
| ~ m2_relset_1(X0,X1,u1_struct_0(X2))
| ~ v1_funct_2(X0,X1,u1_struct_0(X2)) ),
inference(cnf_transformation,[],[f12190]) ).
tcf(c_1977,plain,
! [X0: $i] :
( v3_realset2(X0)
| ~ l1_struct_0(X0)
| ~ v1_realset1(u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f12192]) ).
tcf(c_1978,plain,
! [X0: $i] :
( v1_realset1(u1_struct_0(X0))
| ~ l1_struct_0(X0)
| ~ v3_realset2(X0) ),
inference(cnf_transformation,[],[f12191]) ).
tcf(c_1979,plain,
! [X0: $i,X1: $i] :
( v1_realset1(X1)
| ( k2_enumset1(X0,X0,X0,X0) = k5_realset1(X1,X0) )
| ~ m1_subset_1(X0,X1) ),
inference(cnf_transformation,[],[f14543]) ).
tcf(c_1980,plain,
! [X0: $i,X1: $i] :
( v1_realset1(X0)
| r2_hidden(sK313(X1,X0),X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(X1)) ),
inference(cnf_transformation,[],[f12199]) ).
tcf(c_1981,plain,
! [X0: $i,X1: $i] :
( v1_realset1(X0)
| r2_hidden(sK314(X1,X0),X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(X1)) ),
inference(cnf_transformation,[],[f12198]) ).
tcf(c_1982,plain,
! [X0: $i,X1: $i] :
( v1_realset1(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ( sK313(X0,X1) != sK314(X0,X1) ) ),
inference(cnf_transformation,[],[f12197]) ).
tcf(c_1983,plain,
! [X0: $i,X1: $i] :
( v1_realset1(X0)
| m1_subset_1(sK314(X1,X0),X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(X1)) ),
inference(cnf_transformation,[],[f12196]) ).
tcf(c_1984,plain,
! [X0: $i,X1: $i] :
( v1_realset1(X0)
| m1_subset_1(sK313(X1,X0),X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(X1)) ),
inference(cnf_transformation,[],[f12195]) ).
tcf(c_1986,plain,
! [X0: $i] :
( v1_realset1(X0)
| r2_hidden(sK315(X0),X0) ),
inference(cnf_transformation,[],[f12203]) ).
tcf(c_1987,plain,
! [X0: $i] :
( v1_realset1(X0)
| r2_hidden(sK316(X0),X0) ),
inference(cnf_transformation,[],[f12202]) ).
tcf(c_1988,plain,
! [X0: $i] :
( v1_realset1(X0)
| ( sK315(X0) != sK316(X0) ) ),
inference(cnf_transformation,[],[f12201]) ).
tcf(c_1989,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X2 )
| ~ v1_realset1(X1)
| ~ r2_hidden(X2,X1)
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f12200]) ).
tcf(c_1990,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| v1_xboole_0(k4_xboole_0(X0,k2_enumset1(sK317(X0),sK317(X0),sK317(X0),sK317(X0))))
| ~ v1_realset1(X0) ),
inference(cnf_transformation,[],[f14544]) ).
tcf(c_1991,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| m1_subset_1(sK317(X0),X0)
| ~ v1_realset1(X0) ),
inference(cnf_transformation,[],[f12204]) ).
tcf(c_1992,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| v1_xboole_0(k4_xboole_0(X0,k2_enumset1(sK318(X0),sK318(X0),sK318(X0),sK318(X0))))
| ~ v1_realset1(X0) ),
inference(cnf_transformation,[],[f14545]) ).
tcf(c_1993,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| m1_subset_1(sK318(X0),X0)
| ~ v1_realset1(X0) ),
inference(cnf_transformation,[],[f12206]) ).
tcf(c_1994,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| v1_xboole_0(k4_xboole_0(X0,k2_enumset1(sK319(X0),sK319(X0),sK319(X0),sK319(X0))))
| ~ v1_realset1(X0) ),
inference(cnf_transformation,[],[f14546]) ).
tcf(c_1995,plain,
! [X0: $i,X1: $i] :
( v1_realset1(X0)
| v1_xboole_0(X0)
| ~ v1_xboole_0(k4_xboole_0(X0,k2_enumset1(X1,X1,X1,X1))) ),
inference(cnf_transformation,[],[f14547]) ).
tcf(c_1997,plain,
! [X0: $i] : v1_realset1(k2_enumset1(X0,X0,X0,X0)),
inference(cnf_transformation,[],[f15199]) ).
tcf(c_1998,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| ( k2_enumset1(sK320(X0),sK320(X0),sK320(X0),sK320(X0)) = X0 )
| ~ v1_realset1(X0) ),
inference(cnf_transformation,[],[f14549]) ).
tcf(c_2002,plain,
! [X0: $i] :
( v1_realset1(X0)
| ~ v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f12216]) ).
tcf(c_2003,plain,
~ v1_xboole_0(sK321),
inference(cnf_transformation,[],[f12218]) ).
tcf(c_2004,plain,
~ v1_realset1(sK321),
inference(cnf_transformation,[],[f12217]) ).
tcf(c_2005,plain,
~ v1_xboole_0(sK322),
inference(cnf_transformation,[],[f12220]) ).
tcf(c_2006,plain,
v1_realset1(sK322),
inference(cnf_transformation,[],[f12219]) ).
tcf(c_2007,plain,
! [X0: $i,X1: $i] :
( m3_realset1(sK323(X1,X0),X1,X0)
| ~ m1_subset_1(X0,X1) ),
inference(cnf_transformation,[],[f12221]) ).
tcf(c_2008,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_funct_1(X0)
| ~ m1_subset_1(X2,X1)
| ~ m3_realset1(X0,X1,X2) ),
inference(cnf_transformation,[],[f12224]) ).
tcf(c_2009,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1)
| ~ m1_subset_1(X2,X1)
| ~ m3_realset1(X0,X1,X2) ),
inference(cnf_transformation,[],[f12223]) ).
tcf(c_2010,plain,
! [X0: $i,X1: $i,X2: $i] :
( m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1)
| ~ m1_subset_1(X2,X1)
| ~ m3_realset1(X0,X1,X2) ),
inference(cnf_transformation,[],[f12222]) ).
tcf(c_2011,plain,
! [X0: $i,X1: $i,X2: $i] :
( m3_realset1(X0,X1,X2)
| ~ v1_funct_1(X0)
| ~ m1_subset_1(X2,X1)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1)
| ~ r2_hidden(k1_funct_1(X0,sK324(X1,X2,X0)),k4_xboole_0(X1,k2_enumset1(X2,X2,X2,X2))) ),
inference(cnf_transformation,[],[f14553]) ).
tcf(c_2012,plain,
! [X0: $i,X1: $i,X2: $i] :
( m3_realset1(X0,X1,X2)
| r2_hidden(sK324(X1,X2,X0),k2_zfmisc_1(k4_xboole_0(X1,k2_enumset1(X2,X2,X2,X2)),k4_xboole_0(X1,k2_enumset1(X2,X2,X2,X2))))
| ~ v1_funct_1(X0)
| ~ m1_subset_1(X2,X1)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1) ),
inference(cnf_transformation,[],[f14554]) ).
tcf(c_2013,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r2_hidden(k1_funct_1(X3,X0),k4_xboole_0(X1,k2_enumset1(X2,X2,X2,X2)))
| ~ v1_funct_1(X3)
| ~ m1_subset_1(X2,X1)
| ~ m3_realset1(X3,X1,X2)
| ~ m2_relset_1(X3,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
| ~ r2_hidden(X0,k2_zfmisc_1(k4_xboole_0(X1,k2_enumset1(X2,X2,X2,X2)),k4_xboole_0(X1,k2_enumset1(X2,X2,X2,X2)))) ),
inference(cnf_transformation,[],[f14555]) ).
tcf(c_2016,plain,
! [X0: $i,X1: $i] :
( v1_finset_1(k7_relat_1(X0,X1))
| ~ v1_finset_1(X1)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0) ),
inference(cnf_transformation,[],[f12228]) ).
tcf(c_2017,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( v1_xboole_0(X4)
| v1_xboole_0(X3)
| ( k8_funct_2(X3,X4,X0,X5) = k8_funct_2(X3,X4,X2,X5) )
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X0)
| ~ r2_hidden(X5,X1)
| ~ m1_subset_1(X5,X3)
| ~ m2_relset_1(X2,X3,X4)
| ~ m2_relset_1(X0,X3,X4)
| ~ v1_funct_2(X2,X3,X4)
| ~ v1_funct_2(X0,X3,X4)
| ( k7_relat_1(X0,X1) != k7_relat_1(X2,X1) ) ),
inference(cnf_transformation,[],[f12231]) ).
tcf(c_2018,plain,
! [X0: $i,X1: $i] :
( ( k5_relat_1(X1,k7_relat_1(X0,k2_relat_1(X1))) = k5_relat_1(X1,X0) )
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X0) ),
inference(cnf_transformation,[],[f12232]) ).
tcf(c_2019,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k4_xboole_0(X1,k4_xboole_0(X1,k10_relat_1(X0,X2))) = k10_relat_1(k7_relat_1(X0,X1),X2) )
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f14556]) ).
tcf(c_2020,plain,
! [X0: $i,X1: $i] :
( v2_funct_1(k7_relat_1(X0,X1))
| ~ v2_funct_1(X0)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0) ),
inference(cnf_transformation,[],[f12234]) ).
tcf(c_2025,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(k1_funct_1(X1,X0),k2_relat_1(k7_relat_1(X1,X2)))
| ~ v1_relat_1(X1)
| ~ v1_funct_1(X1)
| ~ r2_hidden(X0,X2)
| ~ r2_hidden(X0,k1_relat_1(X1)) ),
inference(cnf_transformation,[],[f12239]) ).
tcf(c_2026,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k1_funct_1(k7_relat_1(X2,X1),X0) = k1_funct_1(X2,X0) )
| ~ v1_relat_1(X2)
| ~ v1_funct_1(X2)
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f12240]) ).
tcf(c_2027,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k1_funct_1(k7_relat_1(X1,X2),X0) = k1_funct_1(X1,X0) )
| ~ v1_relat_1(X1)
| ~ v1_funct_1(X1)
| ~ r2_hidden(X0,k4_xboole_0(k1_relat_1(X1),k4_xboole_0(k1_relat_1(X1),X2))) ),
inference(cnf_transformation,[],[f14557]) ).
tcf(c_2028,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k1_funct_1(k7_relat_1(X1,X2),X0) = k1_funct_1(X1,X0) )
| ~ v1_relat_1(X1)
| ~ v1_funct_1(X1)
| ~ r2_hidden(X0,k1_relat_1(k7_relat_1(X1,X2))) ),
inference(cnf_transformation,[],[f12242]) ).
tcf(c_2029,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k7_relat_1(X1,X2) = X0 )
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X0)
| ( k1_funct_1(X0,sK325(X0,X1)) != k1_funct_1(X1,sK325(X0,X1)) )
| ( k4_xboole_0(k1_relat_1(X1),k4_xboole_0(k1_relat_1(X1),X2)) != k1_relat_1(X0) ) ),
inference(cnf_transformation,[],[f14558]) ).
tcf(c_2030,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(sK325(X2,X0),k1_relat_1(X2))
| ( k7_relat_1(X0,X1) = X2 )
| ~ v1_relat_1(X2)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X0)
| ( k4_xboole_0(k1_relat_1(X0),k4_xboole_0(k1_relat_1(X0),X1)) != k1_relat_1(X2) ) ),
inference(cnf_transformation,[],[f14559]) ).
tcf(c_2034,plain,
! [X0: $i,X1: $i] :
( v1_funct_1(k7_relat_1(X0,X1))
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0) ),
inference(cnf_transformation,[],[f12247]) ).
tcf(c_2035,plain,
! [X0: $i,X1: $i] :
( v1_relat_1(k7_relat_1(X0,X1))
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f12249]) ).
tcf(c_2036,plain,
! [X0: $i,X1: $i] :
( ( k7_relat_1(X0,k1_relat_1(k7_relat_1(X1,k1_relat_1(X0)))) = k7_relat_1(X0,k1_relat_1(X1)) )
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f12250]) ).
tcf(c_2037,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( k7_relat_1(X0,X3) = k7_relat_1(X2,X3) )
| ~ v1_relat_1(X2)
| ~ v1_relat_1(X0)
| ~ r1_tarski(X3,X1)
| ( k7_relat_1(X0,X1) != k7_relat_1(X2,X1) ) ),
inference(cnf_transformation,[],[f12251]) ).
tcf(c_2038,plain,
! [X0: $i,X1: $i] :
( ( k7_relat_1(X1,X0) = np__0 )
| ~ v1_relat_1(X1)
| ~ r1_xboole_0(X0,k1_relat_1(X1)) ),
inference(cnf_transformation,[],[f14561]) ).
tcf(c_2039,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(X0,k7_relat_1(X2,X1))
| ~ v1_relat_1(X2)
| ~ v1_relat_1(X0)
| ~ r1_tarski(X0,X2)
| ~ r1_tarski(k1_relat_1(X0),X1) ),
inference(cnf_transformation,[],[f12253]) ).
tcf(c_2040,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( k7_relat_1(X0,k3_tarski(k2_tarski(X1,X3))) = k7_relat_1(X2,k3_tarski(k2_tarski(X1,X3))) )
| ~ v1_relat_1(X2)
| ~ v1_relat_1(X0)
| ( k7_relat_1(X0,X3) != k7_relat_1(X2,X3) )
| ( k7_relat_1(X0,X1) != k7_relat_1(X2,X1) ) ),
inference(cnf_transformation,[],[f14562]) ).
tcf(c_2041,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k9_relat_1(k7_relat_1(X0,X1),X2),k9_relat_1(X0,X2))
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f12255]) ).
tcf(c_2042,plain,
! [X0: $i,X1: $i] :
( ( k2_relat_1(k7_relat_1(X0,X1)) = k9_relat_1(X0,X1) )
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f12256]) ).
tcf(c_2043,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k7_relat_1(k5_relat_1(X0,X1),X2) = k5_relat_1(k7_relat_1(X0,X2),X1) )
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f12257]) ).
tcf(c_2044,plain,
! [X0: $i] : k7_relat_1(np__0,X0) = np__0,
inference(cnf_transformation,[],[f14563]) ).
tcf(c_2045,plain,
! [X0: $i] :
( ( k7_relat_1(X0,np__0) = np__0 )
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f14564]) ).
tcf(c_2046,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k4_xboole_0(k7_relat_1(X0,X1),k7_relat_1(X0,X2)) = k7_relat_1(X0,k4_xboole_0(X1,X2)) )
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f12260]) ).
tcf(c_2047,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k4_xboole_0(k7_relat_1(X0,X1),k4_xboole_0(k7_relat_1(X0,X1),k7_relat_1(X0,X2))) = k7_relat_1(X0,k4_xboole_0(X1,k4_xboole_0(X1,X2))) )
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f14565]) ).
tcf(c_2048,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k3_tarski(k2_tarski(k7_relat_1(X0,X1),k7_relat_1(X0,X2))) = k7_relat_1(X0,k3_tarski(k2_tarski(X1,X2))) )
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f14566]) ).
tcf(c_2049,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_tarski(k7_relat_1(X2,X0),k7_relat_1(X3,X1))
| ~ v1_relat_1(X3)
| ~ v1_relat_1(X2)
| ~ r1_tarski(X2,X3)
| ~ r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f12263]) ).
tcf(c_2050,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k7_relat_1(X0,X2),k7_relat_1(X1,X2))
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0)
| ~ r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f12264]) ).
tcf(c_2051,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k7_relat_1(X2,X0),k7_relat_1(X2,X1))
| ~ v1_relat_1(X2)
| ~ r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f12265]) ).
tcf(c_2052,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k7_relat_1(k7_relat_1(X2,X1),X0) = k7_relat_1(X2,X0) )
| ~ v1_relat_1(X2)
| ~ r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f12266]) ).
tcf(c_2053,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k7_relat_1(k7_relat_1(X2,X0),X1) = k7_relat_1(X2,X0) )
| ~ v1_relat_1(X2)
| ~ r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f12267]) ).
tcf(c_2054,plain,
! [X0: $i,X1: $i] :
( ( k7_relat_1(k7_relat_1(X0,X1),X1) = k7_relat_1(X0,X1) )
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f12268]) ).
tcf(c_2055,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k7_relat_1(X0,k4_xboole_0(X1,k4_xboole_0(X1,X2))) = k7_relat_1(k7_relat_1(X0,X1),X2) )
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f14567]) ).
tcf(c_2056,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k2_relat_1(k7_relat_1(X0,X1)),k2_relat_1(X0))
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f12270]) ).
tcf(c_2057,plain,
! [X0: $i] :
( ( k7_relat_1(X0,k1_relat_1(X0)) = X0 )
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f12271]) ).
tcf(c_2058,plain,
! [X0: $i,X1: $i] :
( ( k7_relat_1(X0,X1) = X0 )
| ~ v1_relat_1(X0)
| ~ r1_tarski(k1_relat_1(X0),X1) ),
inference(cnf_transformation,[],[f12272]) ).
tcf(c_2059,plain,
! [X0: $i,X1: $i] :
( ( k4_xboole_0(X0,k4_xboole_0(X0,k2_zfmisc_1(X1,k2_relat_1(X0)))) = k7_relat_1(X0,X1) )
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f14568]) ).
tcf(c_2060,plain,
! [X0: $i,X1: $i] :
( ( k7_relat_1(X0,X1) = np__0 )
| ~ v1_relat_1(X0)
| ~ r1_xboole_0(k1_relat_1(X0),X1) ),
inference(cnf_transformation,[],[f14569]) ).
tcf(c_2061,plain,
! [X0: $i,X1: $i] :
( r1_xboole_0(k1_relat_1(X0),X1)
| ~ v1_relat_1(X0)
| ( k7_relat_1(X0,X1) != np__0 ) ),
inference(cnf_transformation,[],[f14570]) ).
tcf(c_2062,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k5_relat_1(X0,k7_relat_1(X1,X2)),k5_relat_1(X0,X1))
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f12276]) ).
tcf(c_2063,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k5_relat_1(k7_relat_1(X0,X2),X1),k5_relat_1(X0,X1))
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f12277]) ).
tcf(c_2064,plain,
! [X0: $i,X1: $i] :
( ( k1_relat_1(k7_relat_1(X1,X0)) = X0 )
| ~ v1_relat_1(X1)
| ~ r1_tarski(X0,k1_relat_1(X1)) ),
inference(cnf_transformation,[],[f12278]) ).
tcf(c_2065,plain,
! [X0: $i,X1: $i] :
( ( k4_xboole_0(k1_relat_1(X0),k4_xboole_0(k1_relat_1(X0),X1)) = k1_relat_1(k7_relat_1(X0,X1)) )
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f14571]) ).
tcf(c_2066,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k1_relat_1(k7_relat_1(X0,X1)),k1_relat_1(X0))
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f12280]) ).
tcf(c_2067,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k7_relat_1(X0,X1),X0)
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f12281]) ).
tcf(c_2068,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k1_relat_1(k7_relat_1(X0,X1)),X1)
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f12282]) ).
tcf(c_2069,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(X0,k1_relat_1(k7_relat_1(X1,X2)))
| ~ v1_relat_1(X1)
| ~ r2_hidden(X0,X2)
| ~ r2_hidden(X0,k1_relat_1(X1)) ),
inference(cnf_transformation,[],[f12285]) ).
tcf(c_2070,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(X0,X2)
| ~ v1_relat_1(X1)
| ~ r2_hidden(X0,k1_relat_1(k7_relat_1(X1,X2))) ),
inference(cnf_transformation,[],[f12284]) ).
tcf(c_2071,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(X0,k1_relat_1(X1))
| ~ v1_relat_1(X1)
| ~ r2_hidden(X0,k1_relat_1(k7_relat_1(X1,X2))) ),
inference(cnf_transformation,[],[f12283]) ).
tcf(c_2072,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k7_relat_1(X0,X1) = X2 )
| ~ v1_relat_1(X2)
| ~ v1_relat_1(X0)
| ~ r2_hidden(sK326(X0,X1,X2),X1)
| ~ r2_hidden(k2_tarski(k2_tarski(sK326(X0,X1,X2),sK327(X0,X1,X2)),k2_enumset1(sK326(X0,X1,X2),sK326(X0,X1,X2),sK326(X0,X1,X2),sK326(X0,X1,X2))),X2)
| ~ r2_hidden(k2_tarski(k2_tarski(sK326(X0,X1,X2),sK327(X0,X1,X2)),k2_enumset1(sK326(X0,X1,X2),sK326(X0,X1,X2),sK326(X0,X1,X2),sK326(X0,X1,X2))),X0) ),
inference(cnf_transformation,[],[f14572]) ).
tcf(c_2073,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(sK326(X0,X2,X1),X2)
| r2_hidden(k2_tarski(k2_tarski(sK326(X0,X2,X1),sK327(X0,X2,X1)),k2_enumset1(sK326(X0,X2,X1),sK326(X0,X2,X1),sK326(X0,X2,X1),sK326(X0,X2,X1))),X1)
| ( k7_relat_1(X0,X2) = X1 )
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f14573]) ).
tcf(c_2074,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(k2_tarski(k2_tarski(sK326(X0,X2,X1),sK327(X0,X2,X1)),k2_enumset1(sK326(X0,X2,X1),sK326(X0,X2,X1),sK326(X0,X2,X1),sK326(X0,X2,X1))),X1)
| r2_hidden(k2_tarski(k2_tarski(sK326(X0,X2,X1),sK327(X0,X2,X1)),k2_enumset1(sK326(X0,X2,X1),sK326(X0,X2,X1),sK326(X0,X2,X1),sK326(X0,X2,X1))),X0)
| ( k7_relat_1(X0,X2) = X1 )
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f14574]) ).
tcf(c_2075,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r2_hidden(k2_tarski(k2_tarski(X0,X1),k2_enumset1(X0,X0,X0,X0)),k7_relat_1(X2,X3))
| ~ v1_relat_1(X2)
| ~ r2_hidden(X0,X3)
| ~ v1_relat_1(k7_relat_1(X2,X3))
| ~ r2_hidden(k2_tarski(k2_tarski(X0,X1),k2_enumset1(X0,X0,X0,X0)),X2) ),
inference(cnf_transformation,[],[f15202]) ).
tcf(c_2076,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r2_hidden(X0,X3)
| ~ v1_relat_1(X2)
| ~ v1_relat_1(k7_relat_1(X2,X3))
| ~ r2_hidden(k2_tarski(k2_tarski(X0,X1),k2_enumset1(X0,X0,X0,X0)),k7_relat_1(X2,X3)) ),
inference(cnf_transformation,[],[f15203]) ).
tcf(c_2077,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r2_hidden(k2_tarski(k2_tarski(X0,X1),k2_enumset1(X0,X0,X0,X0)),X2)
| ~ v1_relat_1(X2)
| ~ v1_relat_1(k7_relat_1(X2,X3))
| ~ r2_hidden(k2_tarski(k2_tarski(X0,X1),k2_enumset1(X0,X0,X0,X0)),k7_relat_1(X2,X3)) ),
inference(cnf_transformation,[],[f15204]) ).
tcf(c_2078,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| ~ v1_funct_1(X0)
| ~ m1_relset_1(X0,k2_zfmisc_1(np__0,np__0),np__0)
| ~ v1_funct_2(X0,k2_zfmisc_1(np__0,np__0),np__0) ),
inference(cnf_transformation,[],[f14579]) ).
tcf(c_2079,plain,
! [X0: $i] :
( v1_binop_1(X0,np__0)
| ~ v1_funct_1(X0)
| ~ m1_relset_1(X0,k2_zfmisc_1(np__0,np__0),np__0)
| ~ v1_funct_2(X0,k2_zfmisc_1(np__0,np__0),np__0) ),
inference(cnf_transformation,[],[f14581]) ).
tcf(c_2080,plain,
! [X0: $i] :
( v2_binop_1(X0,np__0)
| ~ v1_funct_1(X0)
| ~ m1_relset_1(X0,k2_zfmisc_1(np__0,np__0),np__0)
| ~ v1_funct_2(X0,k2_zfmisc_1(np__0,np__0),np__0) ),
inference(cnf_transformation,[],[f14582]) ).
tcf(c_2081,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( v1_xboole_0(X6)
| v1_xboole_0(X2)
| v1_xboole_0(X0)
| ( X7 = np__0 )
| ( k7_setwiseo(X6,X0,X1,X7,k7_funct_2(X6,X2,X0,X5,X3)) = k8_funct_2(X2,X0,X3,k7_setwiseo(X6,X2,X4,X7,X5)) )
| ~ v1_funct_1(X5)
| ~ v1_funct_1(X4)
| ~ v1_funct_1(X3)
| ~ v1_funct_1(X1)
| ~ v3_binop_1(X4,X2)
| ~ v3_binop_1(X1,X0)
| ~ v1_binop_1(X4,X2)
| ~ v1_binop_1(X1,X0)
| ~ v2_binop_1(X4,X2)
| ~ v2_binop_1(X1,X0)
| ~ m1_subset_1(X7,k5_finsub_1(X6))
| ~ m2_relset_1(X5,X6,X2)
| ~ m2_relset_1(X3,X2,X0)
| ~ v1_funct_2(X5,X6,X2)
| ~ v1_funct_2(X3,X2,X0)
| ~ m2_relset_1(X4,k2_zfmisc_1(X2,X2),X2)
| ~ m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X4,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ( k2_binop_1(X0,X0,X0,X1,k8_funct_2(X2,X0,X3,sK328(X2,X4,X0,X1,X3)),k8_funct_2(X2,X0,X3,sK329(X2,X4,X0,X1,X3))) != k8_funct_2(X2,X0,X3,k2_binop_1(X2,X2,X2,X4,sK328(X2,X4,X0,X1,X3),sK329(X2,X4,X0,X1,X3))) ) ),
inference(cnf_transformation,[],[f14583]) ).
tcf(c_2082,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( v1_xboole_0(X5)
| v1_xboole_0(X3)
| v1_xboole_0(X1)
| m1_subset_1(sK329(X1,X0,X3,X2,X6),X1)
| ( X7 = np__0 )
| ( k7_setwiseo(X5,X3,X2,X7,k7_funct_2(X5,X1,X3,X4,X6)) = k8_funct_2(X1,X3,X6,k7_setwiseo(X5,X1,X0,X7,X4)) )
| ~ v1_funct_1(X6)
| ~ v1_funct_1(X4)
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X0)
| ~ v3_binop_1(X2,X3)
| ~ v3_binop_1(X0,X1)
| ~ v1_binop_1(X2,X3)
| ~ v1_binop_1(X0,X1)
| ~ v2_binop_1(X2,X3)
| ~ v2_binop_1(X0,X1)
| ~ m1_subset_1(X7,k5_finsub_1(X5))
| ~ m2_relset_1(X6,X1,X3)
| ~ m2_relset_1(X4,X5,X1)
| ~ v1_funct_2(X6,X1,X3)
| ~ v1_funct_2(X4,X5,X1)
| ~ m2_relset_1(X2,k2_zfmisc_1(X3,X3),X3)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X2,k2_zfmisc_1(X3,X3),X3)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1) ),
inference(cnf_transformation,[],[f14584]) ).
tcf(c_2083,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( v1_xboole_0(X5)
| v1_xboole_0(X3)
| v1_xboole_0(X1)
| m1_subset_1(sK328(X1,X0,X3,X2,X6),X1)
| ( X7 = np__0 )
| ( k7_setwiseo(X5,X3,X2,X7,k7_funct_2(X5,X1,X3,X4,X6)) = k8_funct_2(X1,X3,X6,k7_setwiseo(X5,X1,X0,X7,X4)) )
| ~ v1_funct_1(X6)
| ~ v1_funct_1(X4)
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X0)
| ~ v3_binop_1(X2,X3)
| ~ v3_binop_1(X0,X1)
| ~ v1_binop_1(X2,X3)
| ~ v1_binop_1(X0,X1)
| ~ v2_binop_1(X2,X3)
| ~ v2_binop_1(X0,X1)
| ~ m1_subset_1(X7,k5_finsub_1(X5))
| ~ m2_relset_1(X6,X1,X3)
| ~ m2_relset_1(X4,X5,X1)
| ~ v1_funct_2(X6,X1,X3)
| ~ v1_funct_2(X4,X5,X1)
| ~ m2_relset_1(X2,k2_zfmisc_1(X3,X3),X3)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X2,k2_zfmisc_1(X3,X3),X3)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1) ),
inference(cnf_transformation,[],[f14585]) ).
tcf(c_2084,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( v1_xboole_0(X1)
| v1_xboole_0(X0)
| ( X3 = np__0 )
| ( k7_setwiseo(X0,X1,X6,X3,X2) = k7_setwiseo(X0,X1,X6,X5,X4) )
| ~ v1_funct_1(X6)
| ~ v1_funct_1(X4)
| ~ v1_funct_1(X2)
| ~ v3_binop_1(X6,X1)
| ~ v1_binop_1(X6,X1)
| ~ v2_binop_1(X6,X1)
| ~ m1_subset_1(X5,k5_finsub_1(X0))
| ~ m1_subset_1(X3,k5_finsub_1(X0))
| ~ m2_relset_1(X4,X0,X1)
| ~ m2_relset_1(X2,X0,X1)
| ~ v1_funct_2(X4,X0,X1)
| ~ v1_funct_2(X2,X0,X1)
| ~ m2_relset_1(X6,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X6,k2_zfmisc_1(X1,X1),X1)
| ( k2_funct_2(X0,X1,X2,X3) != k2_funct_2(X0,X1,X4,X5) ) ),
inference(cnf_transformation,[],[f14586]) ).
tcf(c_2085,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( v1_xboole_0(X1)
| v1_xboole_0(X0)
| ( k7_setwiseo(X0,X1,X5,X3,X2) = X4 )
| ~ v1_funct_1(X5)
| ~ v1_funct_1(X2)
| ~ v3_binop_1(X5,X1)
| ~ v1_binop_1(X5,X1)
| ~ v2_binop_1(X5,X1)
| ~ m1_subset_1(X4,X1)
| ~ m1_subset_1(X3,k5_finsub_1(X0))
| ~ m2_relset_1(X2,X0,X1)
| ~ v1_funct_2(X2,X0,X1)
| ~ m2_relset_1(X5,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X5,k2_zfmisc_1(X1,X1),X1)
| ( k2_funct_2(X0,X1,X2,X3) != k2_setwiseo(X1,X4) ) ),
inference(cnf_transformation,[],[f12301]) ).
tcf(c_2086,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( v1_xboole_0(X1)
| v1_xboole_0(X0)
| ( X3 = np__0 )
| ( k7_setwiseo(X0,X1,X5,X3,X2) = X4 )
| ~ v1_funct_1(X5)
| ~ v1_funct_1(X2)
| ~ v3_binop_1(X5,X1)
| ~ v1_binop_1(X5,X1)
| ~ v2_binop_1(X5,X1)
| ~ m1_subset_1(X4,X1)
| ~ m1_subset_1(X3,k5_finsub_1(X0))
| ~ m2_relset_1(X2,X0,X1)
| ~ v1_funct_2(X2,X0,X1)
| ~ m2_relset_1(X5,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X5,k2_zfmisc_1(X1,X1),X1)
| ( k8_funct_2(X0,X1,X2,sK330(X1,X0,X3,X2,X4)) != X4 ) ),
inference(cnf_transformation,[],[f14587]) ).
tcf(c_2087,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( v1_xboole_0(X3)
| v1_xboole_0(X1)
| r2_hidden(sK330(X1,X3,X4,X2,X5),X4)
| ( X4 = np__0 )
| ( k7_setwiseo(X3,X1,X0,X4,X2) = X5 )
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X0)
| ~ v3_binop_1(X0,X1)
| ~ v1_binop_1(X0,X1)
| ~ v2_binop_1(X0,X1)
| ~ m1_subset_1(X5,X1)
| ~ m1_subset_1(X4,k5_finsub_1(X3))
| ~ m2_relset_1(X2,X3,X1)
| ~ v1_funct_2(X2,X3,X1)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1) ),
inference(cnf_transformation,[],[f14588]) ).
tcf(c_2088,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( v1_xboole_0(X3)
| v1_xboole_0(X1)
| m1_subset_1(sK330(X1,X3,X4,X2,X5),X3)
| ( X4 = np__0 )
| ( k7_setwiseo(X3,X1,X0,X4,X2) = X5 )
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X0)
| ~ v3_binop_1(X0,X1)
| ~ v1_binop_1(X0,X1)
| ~ v2_binop_1(X0,X1)
| ~ m1_subset_1(X5,X1)
| ~ m1_subset_1(X4,k5_finsub_1(X3))
| ~ m2_relset_1(X2,X3,X1)
| ~ v1_funct_2(X2,X3,X1)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1) ),
inference(cnf_transformation,[],[f14589]) ).
tcf(c_2089,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( v1_xboole_0(X3)
| v1_xboole_0(X1)
| ( X4 = np__0 )
| ( k2_binop_1(X1,X1,X1,X0,k7_setwiseo(X3,X1,X0,X4,X2),k7_setwiseo(X3,X1,X0,X5,X2)) = k7_setwiseo(X3,X1,X0,X5,X2) )
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X0)
| ~ v3_binop_1(X0,X1)
| ~ v1_binop_1(X0,X1)
| ~ v2_binop_1(X0,X1)
| ~ r1_tarski(X4,X5)
| ~ m1_subset_1(X5,k5_finsub_1(X3))
| ~ m1_subset_1(X4,k5_finsub_1(X3))
| ~ m2_relset_1(X2,X3,X1)
| ~ v1_funct_2(X2,X3,X1)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1) ),
inference(cnf_transformation,[],[f14590]) ).
tcf(c_2090,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( v1_xboole_0(X3)
| v1_xboole_0(X1)
| ( k2_binop_1(X1,X1,X1,X0,k8_funct_2(X3,X1,X2,X5),k7_setwiseo(X3,X1,X0,X4,X2)) = k7_setwiseo(X3,X1,X0,X4,X2) )
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X0)
| ~ v3_binop_1(X0,X1)
| ~ v1_binop_1(X0,X1)
| ~ v2_binop_1(X0,X1)
| ~ r2_hidden(X5,X4)
| ~ m1_subset_1(X5,X3)
| ~ m1_subset_1(X4,k5_finsub_1(X3))
| ~ m2_relset_1(X2,X3,X1)
| ~ v1_funct_2(X2,X3,X1)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1) ),
inference(cnf_transformation,[],[f12306]) ).
tcf(c_2091,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( v1_xboole_0(X3)
| v1_xboole_0(X1)
| ( X5 = np__0 )
| ( X4 = np__0 )
| ( k2_binop_1(X1,X1,X1,X0,k7_setwiseo(X3,X1,X0,X4,X2),k7_setwiseo(X3,X1,X0,X5,X2)) = k7_setwiseo(X3,X1,X0,k5_setwiseo(X3,X4,X5),X2) )
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X0)
| ~ v3_binop_1(X0,X1)
| ~ v1_binop_1(X0,X1)
| ~ v2_binop_1(X0,X1)
| ~ m1_subset_1(X5,k5_finsub_1(X3))
| ~ m1_subset_1(X4,k5_finsub_1(X3))
| ~ m2_relset_1(X2,X3,X1)
| ~ v1_funct_2(X2,X3,X1)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1) ),
inference(cnf_transformation,[],[f14591]) ).
tcf(c_2092,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( v1_xboole_0(X3)
| v1_xboole_0(X1)
| ( X4 = np__0 )
| ( k2_binop_1(X1,X1,X1,X0,k7_setwiseo(X3,X1,X0,X4,X2),k8_funct_2(X3,X1,X2,X5)) = k7_setwiseo(X3,X1,X0,k5_setwiseo(X3,X4,k2_setwiseo(X3,X5)),X2) )
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X0)
| ~ v3_binop_1(X0,X1)
| ~ v1_binop_1(X0,X1)
| ~ v2_binop_1(X0,X1)
| ~ m1_subset_1(X5,X3)
| ~ m1_subset_1(X4,k5_finsub_1(X3))
| ~ m2_relset_1(X2,X3,X1)
| ~ v1_funct_2(X2,X3,X1)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1) ),
inference(cnf_transformation,[],[f14592]) ).
tcf(c_2093,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(X0)
| v3_binop_1(X1,X0)
| ~ v1_funct_1(X1)
| ~ m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ( k2_binop_1(X0,X0,X0,X1,sK331(X0,X1),sK331(X0,X1)) != sK331(X0,X1) ) ),
inference(cnf_transformation,[],[f12311]) ).
tcf(c_2094,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(X1)
| v3_binop_1(X0,X1)
| m1_subset_1(sK331(X1,X0),X1)
| ~ v1_funct_1(X0)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1) ),
inference(cnf_transformation,[],[f12310]) ).
tcf(c_2095,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_xboole_0(X1)
| ( k2_binop_1(X1,X1,X1,X0,X2,X2) = X2 )
| ~ v1_funct_1(X0)
| ~ v3_binop_1(X0,X1)
| ~ m1_subset_1(X2,X1)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1) ),
inference(cnf_transformation,[],[f12309]) ).
tcf(c_2096,plain,
! [X0: $i,X1: $i] :
( v3_binop_1(X0,X1)
| ~ v1_funct_1(X0)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1)
| ( k1_binop_1(X0,sK332(X1,X0),sK332(X1,X0)) != sK332(X1,X0) ) ),
inference(cnf_transformation,[],[f12314]) ).
tcf(c_2097,plain,
! [X0: $i,X1: $i] :
( v3_binop_1(X0,X1)
| m1_subset_1(sK332(X1,X0),X1)
| ~ v1_funct_1(X0)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1) ),
inference(cnf_transformation,[],[f12313]) ).
tcf(c_2098,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k1_binop_1(X0,X2,X2) = X2 )
| ~ v1_funct_1(X0)
| ~ v3_binop_1(X0,X1)
| ~ m1_subset_1(X2,X1)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1) ),
inference(cnf_transformation,[],[f12312]) ).
tcf(c_2099,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( k7_filter_1(X1,X3,X0,X2) = k3_funct_4(X0,X2) )
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X0)
| ~ m1_relset_1(X2,k2_zfmisc_1(X3,X3),X3)
| ~ m1_relset_1(X0,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X2,k2_zfmisc_1(X3,X3),X3)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1) ),
inference(cnf_transformation,[],[f12315]) ).
tcf(c_2100,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v1_funct_1(k7_filter_1(X1,X3,X0,X2))
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X0)
| ~ m1_relset_1(X2,k2_zfmisc_1(X3,X3),X3)
| ~ m1_relset_1(X0,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X2,k2_zfmisc_1(X3,X3),X3)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1) ),
inference(cnf_transformation,[],[f12318]) ).
tcf(c_2101,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v1_funct_2(k7_filter_1(X1,X3,X0,X2),k2_zfmisc_1(k2_zfmisc_1(X1,X3),k2_zfmisc_1(X1,X3)),k2_zfmisc_1(X1,X3))
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X0)
| ~ m1_relset_1(X2,k2_zfmisc_1(X3,X3),X3)
| ~ m1_relset_1(X0,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X2,k2_zfmisc_1(X3,X3),X3)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1) ),
inference(cnf_transformation,[],[f12317]) ).
tcf(c_2102,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( m2_relset_1(k7_filter_1(X1,X3,X0,X2),k2_zfmisc_1(k2_zfmisc_1(X1,X3),k2_zfmisc_1(X1,X3)),k2_zfmisc_1(X1,X3))
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X0)
| ~ m1_relset_1(X2,k2_zfmisc_1(X3,X3),X3)
| ~ m1_relset_1(X0,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X2,k2_zfmisc_1(X3,X3),X3)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1) ),
inference(cnf_transformation,[],[f12316]) ).
tcf(c_2103,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( v1_xboole_0(X1)
| v1_xboole_0(X0)
| r6_binop_1(X0,X2,X4)
| ~ v1_funct_1(X5)
| ~ v1_funct_1(X4)
| ~ v1_funct_1(X3)
| ~ v1_funct_1(X2)
| ~ m2_relset_1(X5,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(X4,k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(X3,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X5,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X4,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ r6_binop_1(k2_zfmisc_1(X0,X1),k7_filter_1(X0,X1,X2,X3),k7_filter_1(X0,X1,X4,X5)) ),
inference(cnf_transformation,[],[f12321]) ).
tcf(c_2104,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( v1_xboole_0(X1)
| v1_xboole_0(X0)
| r6_binop_1(X1,X3,X5)
| ~ v1_funct_1(X5)
| ~ v1_funct_1(X4)
| ~ v1_funct_1(X3)
| ~ v1_funct_1(X2)
| ~ m2_relset_1(X5,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(X4,k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(X3,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X5,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X4,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ r6_binop_1(k2_zfmisc_1(X0,X1),k7_filter_1(X0,X1,X2,X3),k7_filter_1(X0,X1,X4,X5)) ),
inference(cnf_transformation,[],[f12320]) ).
tcf(c_2105,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( v1_xboole_0(X4)
| v1_xboole_0(X1)
| r6_binop_1(k2_zfmisc_1(X1,X4),k7_filter_1(X1,X4,X0,X3),k7_filter_1(X1,X4,X2,X5))
| ~ v1_funct_1(X5)
| ~ v1_funct_1(X3)
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X0)
| ~ r6_binop_1(X4,X3,X5)
| ~ r6_binop_1(X1,X0,X2)
| ~ m2_relset_1(X5,k2_zfmisc_1(X4,X4),X4)
| ~ m2_relset_1(X3,k2_zfmisc_1(X4,X4),X4)
| ~ m2_relset_1(X2,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X5,k2_zfmisc_1(X4,X4),X4)
| ~ v1_funct_2(X3,k2_zfmisc_1(X4,X4),X4)
| ~ v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1) ),
inference(cnf_transformation,[],[f12319]) ).
tcf(c_2106,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v1_xboole_0(X1)
| v1_xboole_0(X0)
| v2_binop_1(X2,X0)
| ~ v1_funct_1(X3)
| ~ v1_funct_1(X2)
| ~ m2_relset_1(X3,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v2_binop_1(k7_filter_1(X0,X1,X2,X3),k2_zfmisc_1(X0,X1)) ),
inference(cnf_transformation,[],[f12324]) ).
tcf(c_2107,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v1_xboole_0(X1)
| v1_xboole_0(X0)
| v2_binop_1(X3,X1)
| ~ v1_funct_1(X3)
| ~ v1_funct_1(X2)
| ~ m2_relset_1(X3,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v2_binop_1(k7_filter_1(X0,X1,X2,X3),k2_zfmisc_1(X0,X1)) ),
inference(cnf_transformation,[],[f12323]) ).
tcf(c_2108,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v1_xboole_0(X3)
| v1_xboole_0(X1)
| v2_binop_1(k7_filter_1(X1,X3,X0,X2),k2_zfmisc_1(X1,X3))
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X0)
| ~ v2_binop_1(X2,X3)
| ~ v2_binop_1(X0,X1)
| ~ m2_relset_1(X2,k2_zfmisc_1(X3,X3),X3)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X2,k2_zfmisc_1(X3,X3),X3)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1) ),
inference(cnf_transformation,[],[f12322]) ).
tcf(c_2109,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v1_xboole_0(X1)
| v1_xboole_0(X0)
| v1_binop_1(X2,X0)
| ~ v1_funct_1(X3)
| ~ v1_funct_1(X2)
| ~ m2_relset_1(X3,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_binop_1(k7_filter_1(X0,X1,X2,X3),k2_zfmisc_1(X0,X1)) ),
inference(cnf_transformation,[],[f12327]) ).
tcf(c_2110,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v1_xboole_0(X1)
| v1_xboole_0(X0)
| v1_binop_1(X3,X1)
| ~ v1_funct_1(X3)
| ~ v1_funct_1(X2)
| ~ m2_relset_1(X3,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_binop_1(k7_filter_1(X0,X1,X2,X3),k2_zfmisc_1(X0,X1)) ),
inference(cnf_transformation,[],[f12326]) ).
tcf(c_2111,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v1_xboole_0(X3)
| v1_xboole_0(X1)
| v1_binop_1(k7_filter_1(X1,X3,X0,X2),k2_zfmisc_1(X1,X3))
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X0)
| ~ v1_binop_1(X2,X3)
| ~ v1_binop_1(X0,X1)
| ~ m2_relset_1(X2,k2_zfmisc_1(X3,X3),X3)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X2,k2_zfmisc_1(X3,X3),X3)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1) ),
inference(cnf_transformation,[],[f12325]) ).
tcf(c_2112,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( v1_xboole_0(X3)
| v1_xboole_0(X1)
| ( k2_binop_1(k2_zfmisc_1(X3,X1),k2_zfmisc_1(X3,X1),k2_zfmisc_1(X3,X1),k7_filter_1(X3,X1,X2,X0),k1_domain_1(X3,X1,X4,X6),k1_domain_1(X3,X1,X5,X7)) = k1_domain_1(X3,X1,k2_binop_1(X3,X3,X3,X2,X4,X5),k2_binop_1(X1,X1,X1,X0,X6,X7)) )
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X0)
| ~ m1_subset_1(X7,X1)
| ~ m1_subset_1(X6,X1)
| ~ m1_subset_1(X5,X3)
| ~ m1_subset_1(X4,X3)
| ~ m2_relset_1(X2,k2_zfmisc_1(X3,X3),X3)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X2,k2_zfmisc_1(X3,X3),X3)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1) ),
inference(cnf_transformation,[],[f12328]) ).
tcf(c_2113,plain,
! [X0: $i,X1: $i] : m1_relset_1(sK333(X0,X1),X0,X1),
inference(cnf_transformation,[],[f12332]) ).
tcf(c_2114,plain,
! [X0: $i,X1: $i] : v1_relat_1(sK333(X0,X1)),
inference(cnf_transformation,[],[f12331]) ).
tcf(c_2115,plain,
! [X0: $i,X1: $i] : v1_funct_1(sK333(X0,X1)),
inference(cnf_transformation,[],[f12330]) ).
tcf(c_2116,plain,
! [X0: $i,X1: $i] : v1_funct_2(sK333(X0,X1),X0,X1),
inference(cnf_transformation,[],[f12329]) ).
tcf(c_2117,plain,
! [X0: $i,X1: $i] : m1_relset_1(sK334(X0,X1),X0,X1),
inference(cnf_transformation,[],[f12335]) ).
tcf(c_2118,plain,
! [X0: $i,X1: $i] : v1_relat_1(sK334(X0,X1)),
inference(cnf_transformation,[],[f12334]) ).
tcf(c_2119,plain,
! [X0: $i,X1: $i] : v1_funct_1(sK334(X0,X1)),
inference(cnf_transformation,[],[f12333]) ).
tcf(c_2120,plain,
! [X0: $i,X1: $i,X2: $i] :
( m2_relset_1(X0,X1,X2)
| ~ m1_relset_1(X0,X1,X2) ),
inference(cnf_transformation,[],[f12337]) ).
tcf(c_2121,plain,
! [X0: $i,X1: $i,X2: $i] :
( m1_relset_1(X0,X1,X2)
| ~ m2_relset_1(X0,X1,X2) ),
inference(cnf_transformation,[],[f12336]) ).
tcf(c_2122,plain,
! [X0: $i,X1: $i] : m1_relset_1(sK335(X0,X1),X0,X1),
inference(cnf_transformation,[],[f12338]) ).
tcf(c_2123,plain,
! [X0: $i,X1: $i,X2: $i] :
( m1_relset_1(X0,X1,X2)
| ~ r1_tarski(X0,k2_zfmisc_1(X1,X2)) ),
inference(cnf_transformation,[],[f12340]) ).
tcf(c_2124,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(X0,k2_zfmisc_1(X1,X2))
| ~ m1_relset_1(X0,X1,X2) ),
inference(cnf_transformation,[],[f12339]) ).
tcf(c_2125,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| m1_subset_1(k2_lattice4(X1,X0),u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X0,k5_finsub_1(u1_struct_0(X1))) ),
inference(cnf_transformation,[],[f12341]) ).
tcf(c_2126,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X1)
| r2_hidden(k2_lattice4(X1,X0),X2)
| ~ v14_lattices(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m2_lattice4(X2,X1)
| ~ r1_tarski(X0,X2)
| ~ r2_hidden(k6_lattices(X1),X2)
| ~ m1_subset_1(X0,k5_finsub_1(u1_struct_0(X1))) ),
inference(cnf_transformation,[],[f12342]) ).
tcf(c_2127,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X1)
| ( k4_lattices(X1,k2_lattice4(X1,X0),k2_lattice4(X1,X2)) = k2_lattice4(X1,k5_setwiseo(u1_struct_0(X1),X0,X2)) )
| ~ v14_lattices(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X2,k5_finsub_1(u1_struct_0(X1)))
| ~ m1_subset_1(X0,k5_finsub_1(u1_struct_0(X1))) ),
inference(cnf_transformation,[],[f12343]) ).
tcf(c_2128,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X1)
| ( k2_lattice4(X1,k5_setwiseo(u1_struct_0(X1),X0,k2_setwiseo(u1_struct_0(X1),X2))) = k4_lattices(X1,k2_lattice4(X1,X0),X2) )
| ~ v14_lattices(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X0,k5_finsub_1(u1_struct_0(X1))) ),
inference(cnf_transformation,[],[f12344]) ).
tcf(c_2129,plain,
! [X0: $i] :
( v3_struct_0(X0)
| ( k2_lattice4(X0,np__0) = k6_lattices(X0) )
| ~ v14_lattices(X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0) ),
inference(cnf_transformation,[],[f14593]) ).
tcf(c_2130,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| ( k2_lattice4(X1,k2_setwiseo(u1_struct_0(X1),X0)) = X0 )
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f12346]) ).
tcf(c_2131,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| ( k7_setwiseo(u1_struct_0(X1),u1_struct_0(X1),u1_lattices(X1),X0,k7_grcat_1(X1)) = k2_lattice4(X1,X0) )
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X0,k5_finsub_1(u1_struct_0(X1))) ),
inference(cnf_transformation,[],[f12347]) ).
tcf(c_2132,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| ( k3_lattice2(u1_struct_0(X1),X1,X0,k7_grcat_1(X1)) = k2_lattice4(X1,X0) )
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X0,k5_finsub_1(u1_struct_0(X1))) ),
inference(cnf_transformation,[],[f12348]) ).
tcf(c_2133,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v3_struct_0(X1)
| ( k4_lattices(X1,k3_lattice2(u1_struct_0(X1),X1,X2,X0),k8_funct_2(u1_struct_0(X1),u1_struct_0(X1),X0,X3)) = k3_lattice2(u1_struct_0(X1),X1,k5_setwiseo(u1_struct_0(X1),X2,k2_setwiseo(u1_struct_0(X1),X3)),X0) )
| ~ v14_lattices(X1)
| ~ v1_funct_1(X0)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,k5_finsub_1(u1_struct_0(X1)))
| ~ m2_relset_1(X0,u1_struct_0(X1),u1_struct_0(X1))
| ~ v1_funct_2(X0,u1_struct_0(X1),u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f12349]) ).
tcf(c_2134,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v1_xboole_0(X1)
| v3_struct_0(X2)
| m1_subset_1(k3_lattice2(X1,X2,X3,X0),u1_struct_0(X2))
| ~ v1_funct_1(X0)
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| ~ m1_subset_1(X3,k5_finsub_1(X1))
| ~ m1_relset_1(X0,X1,u1_struct_0(X2))
| ~ v1_funct_2(X0,X1,u1_struct_0(X2)) ),
inference(cnf_transformation,[],[f12350]) ).
tcf(c_2135,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( v1_xboole_0(X1)
| v3_struct_0(X0)
| r3_lattices(X0,k3_lattice2(X1,X0,X3,X2),k3_lattice2(X1,X0,X3,X4))
| ~ v14_lattices(X0)
| ~ v1_funct_1(X4)
| ~ v1_funct_1(X2)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| ~ m1_subset_1(X3,k5_finsub_1(X1))
| ~ m2_relset_1(X4,X1,u1_struct_0(X0))
| ~ m2_relset_1(X2,X1,u1_struct_0(X0))
| ~ v1_funct_2(X4,X1,u1_struct_0(X0))
| ~ v1_funct_2(X2,X1,u1_struct_0(X0))
| ~ r3_lattices(X0,k8_funct_2(X1,u1_struct_0(X0),X2,sK336(X1,X3,X0,X2,X4)),k8_funct_2(X1,u1_struct_0(X0),X4,sK336(X1,X3,X0,X2,X4))) ),
inference(cnf_transformation,[],[f12353]) ).
tcf(c_2136,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( v1_xboole_0(X1)
| v3_struct_0(X2)
| r2_hidden(sK336(X1,X4,X2,X0,X3),X4)
| r3_lattices(X2,k3_lattice2(X1,X2,X4,X0),k3_lattice2(X1,X2,X4,X3))
| ~ v14_lattices(X2)
| ~ v1_funct_1(X3)
| ~ v1_funct_1(X0)
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| ~ m1_subset_1(X4,k5_finsub_1(X1))
| ~ m2_relset_1(X3,X1,u1_struct_0(X2))
| ~ m2_relset_1(X0,X1,u1_struct_0(X2))
| ~ v1_funct_2(X3,X1,u1_struct_0(X2))
| ~ v1_funct_2(X0,X1,u1_struct_0(X2)) ),
inference(cnf_transformation,[],[f12352]) ).
tcf(c_2137,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( v1_xboole_0(X1)
| v3_struct_0(X2)
| m1_subset_1(sK336(X1,X4,X2,X0,X3),X1)
| r3_lattices(X2,k3_lattice2(X1,X2,X4,X0),k3_lattice2(X1,X2,X4,X3))
| ~ v14_lattices(X2)
| ~ v1_funct_1(X3)
| ~ v1_funct_1(X0)
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| ~ m1_subset_1(X4,k5_finsub_1(X1))
| ~ m2_relset_1(X3,X1,u1_struct_0(X2))
| ~ m2_relset_1(X0,X1,u1_struct_0(X2))
| ~ v1_funct_2(X3,X1,u1_struct_0(X2))
| ~ v1_funct_2(X0,X1,u1_struct_0(X2)) ),
inference(cnf_transformation,[],[f12351]) ).
tcf(c_2138,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( v1_xboole_0(X2)
| v3_struct_0(X0)
| r3_lattices(X0,X1,k3_lattice2(X2,X0,X4,X3))
| ~ v14_lattices(X0)
| ~ v1_funct_1(X3)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| ~ m1_subset_1(X4,k5_finsub_1(X2))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m2_relset_1(X3,X2,u1_struct_0(X0))
| ~ v1_funct_2(X3,X2,u1_struct_0(X0))
| ~ r3_lattices(X0,X1,k8_funct_2(X2,u1_struct_0(X0),X3,sK337(X2,X4,X0,X3,X1))) ),
inference(cnf_transformation,[],[f12356]) ).
tcf(c_2139,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( v1_xboole_0(X1)
| v3_struct_0(X2)
| r3_lattices(X2,X4,k3_lattice2(X1,X2,X3,X0))
| r2_hidden(sK337(X1,X3,X2,X0,X4),X3)
| ~ v14_lattices(X2)
| ~ v1_funct_1(X0)
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| ~ m1_subset_1(X4,u1_struct_0(X2))
| ~ m1_subset_1(X3,k5_finsub_1(X1))
| ~ m2_relset_1(X0,X1,u1_struct_0(X2))
| ~ v1_funct_2(X0,X1,u1_struct_0(X2)) ),
inference(cnf_transformation,[],[f12355]) ).
tcf(c_2140,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( v1_xboole_0(X1)
| v3_struct_0(X2)
| r3_lattices(X2,X4,k3_lattice2(X1,X2,X3,X0))
| m1_subset_1(sK337(X1,X3,X2,X0,X4),X1)
| ~ v14_lattices(X2)
| ~ v1_funct_1(X0)
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| ~ m1_subset_1(X4,u1_struct_0(X2))
| ~ m1_subset_1(X3,k5_finsub_1(X1))
| ~ m2_relset_1(X0,X1,u1_struct_0(X2))
| ~ v1_funct_2(X0,X1,u1_struct_0(X2)) ),
inference(cnf_transformation,[],[f12354]) ).
tcf(c_2141,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( v1_xboole_0(X0)
| v3_struct_0(X1)
| ( k3_lattice2(X0,X1,X3,X2) = k3_lattice2(X0,X1,X3,X4) )
| ~ v14_lattices(X1)
| ~ v1_funct_1(X4)
| ~ v1_funct_1(X2)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X3,k5_finsub_1(X0))
| ~ m2_relset_1(X4,X0,u1_struct_0(X1))
| ~ m2_relset_1(X2,X0,u1_struct_0(X1))
| ~ v1_funct_2(X4,X0,u1_struct_0(X1))
| ~ v1_funct_2(X2,X0,u1_struct_0(X1))
| ( k2_partfun1(X0,u1_struct_0(X1),X2,X3) != k2_partfun1(X0,u1_struct_0(X1),X4,X3) ) ),
inference(cnf_transformation,[],[f12357]) ).
tcf(c_2142,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( v1_xboole_0(X1)
| v3_struct_0(X0)
| r3_lattices(X0,k3_lattice2(X1,X0,X3,X2),k3_lattice2(X1,X0,X3,X4))
| ( X3 = np__0 )
| ~ v1_funct_1(X4)
| ~ v1_funct_1(X2)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| ~ m1_subset_1(X3,k5_finsub_1(X1))
| ~ m2_relset_1(X4,X1,u1_struct_0(X0))
| ~ m2_relset_1(X2,X1,u1_struct_0(X0))
| ~ v1_funct_2(X4,X1,u1_struct_0(X0))
| ~ v1_funct_2(X2,X1,u1_struct_0(X0))
| ~ r3_lattices(X0,k8_funct_2(X1,u1_struct_0(X0),X2,sK338(X0,X1,X3,X2,X4)),k8_funct_2(X1,u1_struct_0(X0),X4,sK338(X0,X1,X3,X2,X4))) ),
inference(cnf_transformation,[],[f14594]) ).
tcf(c_2143,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( v1_xboole_0(X1)
| v3_struct_0(X2)
| r2_hidden(sK338(X2,X1,X4,X0,X3),X4)
| r3_lattices(X2,k3_lattice2(X1,X2,X4,X0),k3_lattice2(X1,X2,X4,X3))
| ( X4 = np__0 )
| ~ v1_funct_1(X3)
| ~ v1_funct_1(X0)
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| ~ m1_subset_1(X4,k5_finsub_1(X1))
| ~ m2_relset_1(X3,X1,u1_struct_0(X2))
| ~ m2_relset_1(X0,X1,u1_struct_0(X2))
| ~ v1_funct_2(X3,X1,u1_struct_0(X2))
| ~ v1_funct_2(X0,X1,u1_struct_0(X2)) ),
inference(cnf_transformation,[],[f14595]) ).
tcf(c_2144,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( v1_xboole_0(X1)
| v3_struct_0(X2)
| m1_subset_1(sK338(X2,X1,X4,X0,X3),X1)
| r3_lattices(X2,k3_lattice2(X1,X2,X4,X0),k3_lattice2(X1,X2,X4,X3))
| ( X4 = np__0 )
| ~ v1_funct_1(X3)
| ~ v1_funct_1(X0)
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| ~ m1_subset_1(X4,k5_finsub_1(X1))
| ~ m2_relset_1(X3,X1,u1_struct_0(X2))
| ~ m2_relset_1(X0,X1,u1_struct_0(X2))
| ~ v1_funct_2(X3,X1,u1_struct_0(X2))
| ~ v1_funct_2(X0,X1,u1_struct_0(X2)) ),
inference(cnf_transformation,[],[f14596]) ).
tcf(c_2145,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( v1_xboole_0(X2)
| v3_struct_0(X0)
| r3_lattices(X0,X1,k3_lattice2(X2,X0,X4,X3))
| ( X4 = np__0 )
| ~ v1_funct_1(X3)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| ~ m1_subset_1(X4,k5_finsub_1(X2))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m2_relset_1(X3,X2,u1_struct_0(X0))
| ~ v1_funct_2(X3,X2,u1_struct_0(X0))
| ~ r3_lattices(X0,X1,k8_funct_2(X2,u1_struct_0(X0),X3,sK339(X0,X1,X2,X4,X3))) ),
inference(cnf_transformation,[],[f14597]) ).
tcf(c_2146,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( v1_xboole_0(X1)
| v3_struct_0(X2)
| r3_lattices(X2,X3,k3_lattice2(X1,X2,X4,X0))
| r2_hidden(sK339(X2,X3,X1,X4,X0),X4)
| ( X4 = np__0 )
| ~ v1_funct_1(X0)
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| ~ m1_subset_1(X4,k5_finsub_1(X1))
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ m2_relset_1(X0,X1,u1_struct_0(X2))
| ~ v1_funct_2(X0,X1,u1_struct_0(X2)) ),
inference(cnf_transformation,[],[f14598]) ).
tcf(c_2147,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( v1_xboole_0(X1)
| v3_struct_0(X2)
| r3_lattices(X2,X3,k3_lattice2(X1,X2,X4,X0))
| m1_subset_1(sK339(X2,X3,X1,X4,X0),X1)
| ( X4 = np__0 )
| ~ v1_funct_1(X0)
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| ~ m1_subset_1(X4,k5_finsub_1(X1))
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ m2_relset_1(X0,X1,u1_struct_0(X2))
| ~ v1_funct_2(X0,X1,u1_struct_0(X2)) ),
inference(cnf_transformation,[],[f14599]) ).
tcf(c_2148,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( v1_xboole_0(X0)
| v3_struct_0(X1)
| ( X3 = np__0 )
| ( k3_lattice2(X0,X1,X3,X2) = k3_lattice2(X0,X1,X3,X4) )
| ~ v1_funct_1(X4)
| ~ v1_funct_1(X2)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X3,k5_finsub_1(X0))
| ~ m2_relset_1(X4,X0,u1_struct_0(X1))
| ~ m2_relset_1(X2,X0,u1_struct_0(X1))
| ~ v1_funct_2(X4,X0,u1_struct_0(X1))
| ~ v1_funct_2(X2,X0,u1_struct_0(X1))
| ( k2_partfun1(X0,u1_struct_0(X1),X2,X3) != k2_partfun1(X0,u1_struct_0(X1),X4,X3) ) ),
inference(cnf_transformation,[],[f14600]) ).
tcf(c_2149,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( v1_xboole_0(X2)
| v3_struct_0(X0)
| r3_lattices(X0,X1,k8_funct_2(X2,u1_struct_0(X0),X4,X5))
| ~ v1_funct_1(X4)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| ~ r2_hidden(X5,X3)
| ~ m1_subset_1(X5,X2)
| ~ m1_subset_1(X3,k5_finsub_1(X2))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m2_relset_1(X4,X2,u1_struct_0(X0))
| ~ v1_funct_2(X4,X2,u1_struct_0(X0))
| ~ r3_lattices(X0,X1,k3_lattice2(X2,X0,X3,X4)) ),
inference(cnf_transformation,[],[f12365]) ).
tcf(c_2150,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( v1_xboole_0(X0)
| v3_struct_0(X1)
| ( X4 = np__0 )
| ( k3_lattice2(X0,X1,X4,X2) = X3 )
| ~ v1_funct_1(X2)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X4,k5_finsub_1(X0))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m2_relset_1(X2,X0,u1_struct_0(X1))
| ~ v1_funct_2(X2,X0,u1_struct_0(X1))
| ( k8_funct_2(X0,u1_struct_0(X1),X2,sK340(X1,X3,X0,X4,X2)) != X3 ) ),
inference(cnf_transformation,[],[f14601]) ).
tcf(c_2151,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( v1_xboole_0(X1)
| v3_struct_0(X2)
| r2_hidden(sK340(X2,X3,X1,X4,X0),X4)
| ( X4 = np__0 )
| ( k3_lattice2(X1,X2,X4,X0) = X3 )
| ~ v1_funct_1(X0)
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| ~ m1_subset_1(X4,k5_finsub_1(X1))
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ m2_relset_1(X0,X1,u1_struct_0(X2))
| ~ v1_funct_2(X0,X1,u1_struct_0(X2)) ),
inference(cnf_transformation,[],[f14602]) ).
tcf(c_2152,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( v1_xboole_0(X1)
| v3_struct_0(X2)
| m1_subset_1(sK340(X2,X3,X1,X4,X0),X1)
| ( X4 = np__0 )
| ( k3_lattice2(X1,X2,X4,X0) = X3 )
| ~ v1_funct_1(X0)
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| ~ m1_subset_1(X4,k5_finsub_1(X1))
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ m2_relset_1(X0,X1,u1_struct_0(X2))
| ~ v1_funct_2(X0,X1,u1_struct_0(X2)) ),
inference(cnf_transformation,[],[f14603]) ).
tcf(c_2153,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( v1_xboole_0(X1)
| v3_struct_0(X0)
| r3_lattices(X0,k3_lattice2(X1,X0,X5,X2),X4)
| ~ v1_funct_1(X2)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| ~ r2_hidden(X3,X5)
| ~ m1_subset_1(X3,X1)
| ~ m1_subset_1(X5,k5_finsub_1(X1))
| ~ m1_subset_1(X4,u1_struct_0(X0))
| ~ m2_relset_1(X2,X1,u1_struct_0(X0))
| ~ v1_funct_2(X2,X1,u1_struct_0(X0))
| ~ r3_lattices(X0,k8_funct_2(X1,u1_struct_0(X0),X2,X3),X4) ),
inference(cnf_transformation,[],[f12369]) ).
tcf(c_2154,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( v1_xboole_0(X1)
| v3_struct_0(X2)
| r3_lattices(X2,k3_lattice2(X1,X2,X3,X0),k8_funct_2(X1,u1_struct_0(X2),X0,X4))
| ~ v1_funct_1(X0)
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| ~ r2_hidden(X4,X3)
| ~ m1_subset_1(X4,X1)
| ~ m1_subset_1(X3,k5_finsub_1(X1))
| ~ m2_relset_1(X0,X1,u1_struct_0(X2))
| ~ v1_funct_2(X0,X1,u1_struct_0(X2)) ),
inference(cnf_transformation,[],[f12370]) ).
tcf(c_2155,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v1_xboole_0(X1)
| v3_struct_0(X2)
| ( k7_setwiseo(X1,u1_struct_0(X2),u1_lattices(X2),X3,X0) = k3_lattice2(X1,X2,X3,X0) )
| ~ v1_funct_1(X0)
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| ~ m1_subset_1(X3,k5_finsub_1(X1))
| ~ m2_relset_1(X0,X1,u1_struct_0(X2))
| ~ v1_funct_2(X0,X1,u1_struct_0(X2)) ),
inference(cnf_transformation,[],[f12371]) ).
tcf(c_2156,plain,
! [X0: $i,X1: $i] :
( ( k7_relat_1(k6_partfun1(X1),X0) = k6_partfun1(X0) )
| ~ r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f14604]) ).
tcf(c_2157,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k5_relat_1(X0,k6_partfun1(X2)) = X0 )
| ~ m2_relset_1(X0,X1,X2) ),
inference(cnf_transformation,[],[f14605]) ).
tcf(c_2158,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k5_relat_1(k6_partfun1(X1),X0) = X0 )
| ~ m2_relset_1(X0,X1,X2) ),
inference(cnf_transformation,[],[f14606]) ).
tcf(c_2159,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| ( k6_partfun1(X0) != np__0 ) ),
inference(cnf_transformation,[],[f14607]) ).
tcf(c_2160,plain,
! [X0: $i,X1: $i] :
( ( k5_relat_1(X0,k6_partfun1(X1)) = X0 )
| ~ m2_relset_1(X0,X1,X1) ),
inference(cnf_transformation,[],[f14608]) ).
tcf(c_2161,plain,
! [X0: $i,X1: $i] :
( ( k5_relat_1(k6_partfun1(X1),X0) = X0 )
| ~ m2_relset_1(X0,X1,X1) ),
inference(cnf_transformation,[],[f14609]) ).
tcf(c_2163,plain,
! [X0: $i] : r1_tarski(k6_partfun1(X0),k2_zfmisc_1(X0,X0)),
inference(cnf_transformation,[],[f14611]) ).
tcf(c_2164,plain,
! [X0: $i,X1: $i] :
( ( k9_relat_1(k6_partfun1(X1),X0) = X0 )
| ~ m1_subset_1(X0,k1_zfmisc_1(X1)) ),
inference(cnf_transformation,[],[f14612]) ).
tcf(c_2165,plain,
! [X0: $i,X1: $i] :
( v2_funct_1(X0)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X0)
| ( k5_relat_1(X0,X1) != k6_partfun1(k1_relat_1(X0)) ) ),
inference(cnf_transformation,[],[f14613]) ).
tcf(c_2166,plain,
! [X0: $i] : v2_funct_1(k6_partfun1(X0)),
inference(cnf_transformation,[],[f14614]) ).
tcf(c_2167,plain,
! [X0: $i,X1: $i] :
( ( k6_partfun1(k1_relat_1(X1)) = X0 )
| ~ v2_funct_1(X1)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X0)
| ~ r1_tarski(k2_relat_1(X0),k1_relat_1(X1))
| ( k1_relat_1(X0) != k1_relat_1(X1) )
| ( k5_relat_1(X0,X1) != X1 ) ),
inference(cnf_transformation,[],[f15205]) ).
tcf(c_2168,plain,
! [X0: $i,X1: $i] :
( ( k6_partfun1(k1_relat_1(X1)) = X1 )
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X0)
| ( k2_relat_1(X0) != k1_relat_1(X1) )
| ( k5_relat_1(X0,X1) != X0 ) ),
inference(cnf_transformation,[],[f14616]) ).
tcf(c_2169,plain,
! [X0: $i,X1: $i] : k6_partfun1(k4_xboole_0(X0,k4_xboole_0(X0,X1))) = k5_relat_1(k6_partfun1(X1),k6_partfun1(X0)),
inference(cnf_transformation,[],[f14617]) ).
tcf(c_2172,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(X1,k1_relat_1(k5_relat_1(X0,k6_partfun1(X2))))
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0)
| ~ r2_hidden(X1,k1_relat_1(X0))
| ~ r2_hidden(k1_funct_1(X0,X1),X2) ),
inference(cnf_transformation,[],[f14620]) ).
tcf(c_2173,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(X0,k1_relat_1(X1))
| ~ v1_relat_1(X1)
| ~ v1_funct_1(X1)
| ~ r2_hidden(X0,k1_relat_1(k5_relat_1(X1,k6_partfun1(X2)))) ),
inference(cnf_transformation,[],[f14621]) ).
tcf(c_2174,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(k1_funct_1(X1,X0),X2)
| ~ v1_relat_1(X1)
| ~ v1_funct_1(X1)
| ~ r2_hidden(X0,k1_relat_1(k5_relat_1(X1,k6_partfun1(X2)))) ),
inference(cnf_transformation,[],[f14622]) ).
tcf(c_2175,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k1_funct_1(k5_relat_1(k6_partfun1(X2),X1),X0) = k1_funct_1(X1,X0) )
| ~ v1_relat_1(X1)
| ~ v1_funct_1(X1)
| ~ r2_hidden(X0,k4_xboole_0(k1_relat_1(X1),k4_xboole_0(k1_relat_1(X1),X2))) ),
inference(cnf_transformation,[],[f14623]) ).
tcf(c_2176,plain,
! [X0: $i,X1: $i] :
( ( k4_xboole_0(k1_relat_1(X0),k4_xboole_0(k1_relat_1(X0),X1)) = k1_relat_1(k5_relat_1(k6_partfun1(X1),X0)) )
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0) ),
inference(cnf_transformation,[],[f14624]) ).
tcf(c_2177,plain,
! [X0: $i,X1: $i] :
( ( k1_funct_1(k6_partfun1(X1),X0) = X0 )
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f14625]) ).
tcf(c_2178,plain,
! [X0: $i] :
( ( k6_partfun1(k1_relat_1(X0)) = X0 )
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0)
| ( k1_funct_1(X0,sK341(k1_relat_1(X0),X0)) != sK341(k1_relat_1(X0),X0) ) ),
inference(cnf_transformation,[],[f15206]) ).
tcf(c_2179,plain,
! [X0: $i] :
( r2_hidden(sK341(k1_relat_1(X0),X0),k1_relat_1(X0))
| ( k6_partfun1(k1_relat_1(X0)) = X0 )
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0) ),
inference(cnf_transformation,[],[f15207]) ).
tcf(c_2182,plain,
! [X0: $i] : v1_relat_1(k6_partfun1(X0)),
inference(cnf_transformation,[],[f14630]) ).
tcf(c_2183,plain,
! [X0: $i] : v1_funct_1(k6_partfun1(X0)),
inference(cnf_transformation,[],[f14631]) ).
tcf(c_2184,plain,
! [X0: $i] : v1_relat_1(k6_partfun1(X0)),
inference(cnf_transformation,[],[f14632]) ).
tcf(c_2185,plain,
! [X0: $i,X1: $i] :
( ( k5_relat_1(X0,k6_partfun1(X1)) = k8_relat_1(X1,X0) )
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f14633]) ).
tcf(c_2186,plain,
! [X0: $i,X1: $i] :
( ( k5_relat_1(k6_partfun1(X1),X0) = k7_relat_1(X0,X1) )
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f14634]) ).
tcf(c_2187,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X2 )
| ~ v1_relat_1(X2)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0)
| ~ r1_tarski(k2_relat_1(X2),k1_relat_1(X0))
| ( k5_relat_1(X2,X0) != k6_partfun1(k1_relat_1(X1)) )
| ( k5_relat_1(X0,X1) != k6_partfun1(k1_relat_1(X0)) ) ),
inference(cnf_transformation,[],[f15210]) ).
tcf(c_2188,plain,
k6_partfun1(np__0) = np__0,
inference(cnf_transformation,[],[f14636]) ).
tcf(c_2189,plain,
! [X0: $i] :
( ( k5_relat_1(X0,k6_partfun1(k2_relat_1(X0))) = X0 )
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f14637]) ).
tcf(c_2190,plain,
! [X0: $i,X1: $i] :
( ( k5_relat_1(X0,k6_partfun1(X1)) = X0 )
| ~ v1_relat_1(X0)
| ~ r1_tarski(k2_relat_1(X0),X1) ),
inference(cnf_transformation,[],[f14638]) ).
tcf(c_2191,plain,
! [X0: $i] :
( ( k5_relat_1(k6_partfun1(k1_relat_1(X0)),X0) = X0 )
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f14639]) ).
tcf(c_2192,plain,
! [X0: $i,X1: $i] :
( ( k5_relat_1(k6_partfun1(X1),X0) = X0 )
| ~ v1_relat_1(X0)
| ~ r1_tarski(k1_relat_1(X0),X1) ),
inference(cnf_transformation,[],[f14640]) ).
tcf(c_2193,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k5_relat_1(X0,k6_partfun1(X1)),X0)
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f14641]) ).
tcf(c_2194,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k5_relat_1(k6_partfun1(X1),X0),X0)
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f14642]) ).
tcf(c_2195,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r2_hidden(k2_tarski(k2_tarski(X0,X1),k2_enumset1(X0,X0,X0,X0)),k5_relat_1(X2,k6_partfun1(X3)))
| ~ v1_relat_1(X2)
| ~ r2_hidden(X1,X3)
| ~ r2_hidden(k2_tarski(k2_tarski(X0,X1),k2_enumset1(X0,X0,X0,X0)),X2) ),
inference(cnf_transformation,[],[f14643]) ).
tcf(c_2196,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r2_hidden(X1,X3)
| ~ v1_relat_1(X2)
| ~ r2_hidden(k2_tarski(k2_tarski(X0,X1),k2_enumset1(X0,X0,X0,X0)),k5_relat_1(X2,k6_partfun1(X3))) ),
inference(cnf_transformation,[],[f14644]) ).
tcf(c_2197,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r2_hidden(k2_tarski(k2_tarski(X0,X1),k2_enumset1(X0,X0,X0,X0)),X2)
| ~ v1_relat_1(X2)
| ~ r2_hidden(k2_tarski(k2_tarski(X0,X1),k2_enumset1(X0,X0,X0,X0)),k5_relat_1(X2,k6_partfun1(X3))) ),
inference(cnf_transformation,[],[f14645]) ).
tcf(c_2198,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r2_hidden(k2_tarski(k2_tarski(X0,X1),k2_enumset1(X0,X0,X0,X0)),k5_relat_1(k6_partfun1(X3),X2))
| ~ v1_relat_1(X2)
| ~ r2_hidden(X0,X3)
| ~ r2_hidden(k2_tarski(k2_tarski(X0,X1),k2_enumset1(X0,X0,X0,X0)),X2) ),
inference(cnf_transformation,[],[f14646]) ).
tcf(c_2199,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r2_hidden(X0,X2)
| ~ v1_relat_1(X3)
| ~ r2_hidden(k2_tarski(k2_tarski(X0,X1),k2_enumset1(X0,X0,X0,X0)),k5_relat_1(k6_partfun1(X2),X3)) ),
inference(cnf_transformation,[],[f14647]) ).
tcf(c_2200,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r2_hidden(k2_tarski(k2_tarski(X0,X1),k2_enumset1(X0,X0,X0,X0)),X3)
| ~ v1_relat_1(X3)
| ~ r2_hidden(k2_tarski(k2_tarski(X0,X1),k2_enumset1(X0,X0,X0,X0)),k5_relat_1(k6_partfun1(X2),X3)) ),
inference(cnf_transformation,[],[f14648]) ).
tcf(c_2201,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k6_partfun1(X0),X1)
| ~ v1_relat_1(X1)
| ~ r2_hidden(k2_tarski(k2_tarski(sK342(X0,X1),sK342(X0,X1)),k2_enumset1(sK342(X0,X1),sK342(X0,X1),sK342(X0,X1),sK342(X0,X1))),X1) ),
inference(cnf_transformation,[],[f14649]) ).
tcf(c_2202,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k6_partfun1(X1),X0)
| r2_hidden(sK342(X1,X0),X1)
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f14650]) ).
tcf(c_2203,plain,
! [X0: $i] : k1_relat_1(k6_partfun1(X0)) = X0,
inference(cnf_transformation,[],[f14651]) ).
tcf(c_2204,plain,
! [X0: $i] : k2_relat_1(k6_partfun1(X0)) = X0,
inference(cnf_transformation,[],[f14652]) ).
tcf(c_2205,plain,
! [X0: $i,X1: $i] :
( ( k6_partfun1(X0) = X1 )
| ~ v1_relat_1(X1)
| ~ r2_hidden(sK343(X0,X1),X0)
| ~ r2_hidden(k2_tarski(k2_tarski(sK343(X0,X1),sK344(X0,X1)),k2_enumset1(sK343(X0,X1),sK343(X0,X1),sK343(X0,X1),sK343(X0,X1))),X1)
| ( sK343(X0,X1) != sK344(X0,X1) ) ),
inference(cnf_transformation,[],[f14653]) ).
tcf(c_2206,plain,
! [X0: $i,X1: $i] :
( r2_hidden(sK343(X1,X0),X1)
| r2_hidden(k2_tarski(k2_tarski(sK343(X1,X0),sK344(X1,X0)),k2_enumset1(sK343(X1,X0),sK343(X1,X0),sK343(X1,X0),sK343(X1,X0))),X0)
| ( k6_partfun1(X1) = X0 )
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f14654]) ).
tcf(c_2207,plain,
! [X0: $i,X1: $i] :
( r2_hidden(k2_tarski(k2_tarski(sK343(X1,X0),sK344(X1,X0)),k2_enumset1(sK343(X1,X0),sK343(X1,X0),sK343(X1,X0),sK343(X1,X0))),X0)
| ( k6_partfun1(X1) = X0 )
| ( sK343(X1,X0) = sK344(X1,X0) )
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f14655]) ).
tcf(c_2208,plain,
! [X0: $i,X1: $i] :
( r2_hidden(k2_tarski(k2_tarski(X0,X0),k2_enumset1(X0,X0,X0,X0)),k6_partfun1(X1))
| ~ v1_relat_1(k6_partfun1(X1))
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f15212]) ).
tcf(c_2209,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(X0,X2)
| ~ v1_relat_1(k6_partfun1(X2))
| ~ r2_hidden(k2_tarski(k2_tarski(X0,X1),k2_enumset1(X0,X0,X0,X0)),k6_partfun1(X2)) ),
inference(cnf_transformation,[],[f15213]) ).
tcf(c_2210,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X1 )
| ~ v1_relat_1(k6_partfun1(X2))
| ~ r2_hidden(k2_tarski(k2_tarski(X0,X1),k2_enumset1(X0,X0,X0,X0)),k6_partfun1(X2)) ),
inference(cnf_transformation,[],[f15214]) ).
tcf(c_2211,plain,
! [X0: $i,X1: $i] :
( v1_relat_1(k5_relat_1(X0,X1))
| ~ v1_finseq_1(X0)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X0)
| ~ r1_tarski(k2_relat_1(X0),k1_relat_1(X1)) ),
inference(cnf_transformation,[],[f12429]) ).
tcf(c_2213,plain,
! [X0: $i,X1: $i] :
( v1_finseq_1(k5_relat_1(X0,X1))
| ~ v1_finseq_1(X0)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X0)
| ~ r1_tarski(k2_relat_1(X0),k1_relat_1(X1)) ),
inference(cnf_transformation,[],[f12427]) ).
tcf(c_2214,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(X1,k2_relat_1(k5_relat_1(X2,X0)))
| ~ v1_relat_1(X2)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X0)
| ~ r1_tarski(X1,k2_relat_1(X0))
| ~ r1_tarski(k10_relat_1(X0,X1),k2_relat_1(X2)) ),
inference(cnf_transformation,[],[f12430]) ).
tcf(c_2215,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k10_relat_1(X2,X0),k2_relat_1(X1))
| ~ v2_funct_1(X2)
| ~ v1_relat_1(X2)
| ~ v1_relat_1(X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X1)
| ~ r1_tarski(X0,k2_relat_1(k5_relat_1(X1,X2))) ),
inference(cnf_transformation,[],[f12431]) ).
tcf(c_2216,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(X1,k1_relat_1(k5_relat_1(X0,X2)))
| ~ v1_relat_1(X2)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X0)
| ~ r1_tarski(X1,k1_relat_1(X0))
| ~ r1_tarski(k9_relat_1(X0,X1),k1_relat_1(X2)) ),
inference(cnf_transformation,[],[f12432]) ).
tcf(c_2217,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k9_relat_1(X1,X0),k1_relat_1(X2))
| ~ v1_relat_1(X2)
| ~ v1_relat_1(X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X1)
| ~ r1_tarski(X0,k1_relat_1(k5_relat_1(X1,X2))) ),
inference(cnf_transformation,[],[f12433]) ).
tcf(c_2218,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( k1_funct_1(k5_relat_1(X0,X3),X2) = k1_funct_1(X3,k1_funct_1(X0,X2)) )
| ~ v1_relat_1(X3)
| ~ v1_funct_1(X3)
| ~ v1_funct_1(X0)
| ~ r2_hidden(X2,X1)
| ~ m2_relset_1(X0,X1,X1)
| ~ v1_funct_2(X0,X1,X1) ),
inference(cnf_transformation,[],[f12434]) ).
tcf(c_2219,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( X2 = np__0 )
| ( k1_funct_1(k5_relat_1(X0,X4),X3) = k1_funct_1(X4,k1_funct_1(X0,X3)) )
| ~ v1_relat_1(X4)
| ~ v1_funct_1(X4)
| ~ v1_funct_1(X0)
| ~ r2_hidden(X3,X1)
| ~ m2_relset_1(X0,X1,X2)
| ~ v1_funct_2(X0,X1,X2) ),
inference(cnf_transformation,[],[f14659]) ).
tcf(c_2220,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k10_relat_1(X0,X2),k10_relat_1(k5_relat_1(X0,X1),k9_relat_1(X1,X2)))
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0)
| ~ r1_tarski(k2_relat_1(X0),k1_relat_1(X1)) ),
inference(cnf_transformation,[],[f12436]) ).
tcf(c_2221,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X2 )
| ~ v1_relat_1(X2)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X0)
| ( k2_relat_1(X0) != k1_relat_1(X2) )
| ( k2_relat_1(X0) != k1_relat_1(X1) )
| ( k5_relat_1(X0,X1) != k5_relat_1(X0,X2) ) ),
inference(cnf_transformation,[],[f15215]) ).
tcf(c_2222,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k1_relat_1(X1),k2_relat_1(X0))
| ~ v2_funct_1(X1)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X0)
| ( k2_relat_1(k5_relat_1(X0,X1)) != k2_relat_1(X1) ) ),
inference(cnf_transformation,[],[f12438]) ).
tcf(c_2223,plain,
! [X0: $i] :
( v2_funct_1(X0)
| ~ sP24(X0)
| ~ sP23(X0) ),
inference(cnf_transformation,[],[f12440]) ).
tcf(c_2224,plain,
! [X0: $i] :
( sP23(X0)
| ~ sP24(X0)
| ~ v2_funct_1(X0) ),
inference(cnf_transformation,[],[f12439]) ).
tcf(c_2235,plain,
! [X0: $i] :
( sP24(X0)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0) ),
inference(cnf_transformation,[],[f12451]) ).
tcf(c_2236,plain,
! [X0: $i,X1: $i] :
( v2_funct_1(X0)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X0)
| ~ v2_funct_1(k5_relat_1(X0,X1))
| ( k2_relat_1(X0) != k1_relat_1(X1) ) ),
inference(cnf_transformation,[],[f12453]) ).
tcf(c_2237,plain,
! [X0: $i,X1: $i] :
( v2_funct_1(X1)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X0)
| ~ v2_funct_1(k5_relat_1(X0,X1))
| ( k2_relat_1(X0) != k1_relat_1(X1) ) ),
inference(cnf_transformation,[],[f12452]) ).
tcf(c_2238,plain,
! [X0: $i,X1: $i] :
( v2_funct_1(X0)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X0)
| ~ v2_funct_1(k5_relat_1(X0,X1))
| ~ r1_tarski(k2_relat_1(X0),k1_relat_1(X1)) ),
inference(cnf_transformation,[],[f12454]) ).
tcf(c_2239,plain,
! [X0: $i,X1: $i] :
( v2_funct_1(k5_relat_1(X0,X1))
| ~ v2_funct_1(X1)
| ~ v2_funct_1(X0)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X0) ),
inference(cnf_transformation,[],[f12455]) ).
tcf(c_2240,plain,
! [X0: $i,X1: $i] :
( ( k2_relat_1(X1) = X0 )
| ~ v1_relat_1(X1)
| ~ v1_funct_1(X1)
| ~ r1_tarski(k2_relat_1(X1),X0)
| ( sK347(X0,X1) != sK348(X0,X1) ) ),
inference(cnf_transformation,[],[f12463]) ).
tcf(c_2241,plain,
! [X0: $i,X1: $i] :
( ( k2_relat_1(X0) = X1 )
| ( k1_relat_1(sK347(X1,X0)) = X1 )
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0)
| ~ r1_tarski(k2_relat_1(X0),X1) ),
inference(cnf_transformation,[],[f12462]) ).
tcf(c_2242,plain,
! [X0: $i,X1: $i] :
( ( k2_relat_1(X0) = X1 )
| ( k1_relat_1(sK348(X1,X0)) = X1 )
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0)
| ~ r1_tarski(k2_relat_1(X0),X1) ),
inference(cnf_transformation,[],[f12461]) ).
tcf(c_2243,plain,
! [X0: $i,X1: $i] :
( ( k2_relat_1(X0) = X1 )
| ( k5_relat_1(X0,sK347(X1,X0)) = k5_relat_1(X0,sK348(X1,X0)) )
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0)
| ~ r1_tarski(k2_relat_1(X0),X1) ),
inference(cnf_transformation,[],[f12460]) ).
tcf(c_2244,plain,
! [X0: $i,X1: $i] :
( v1_relat_1(sK348(X1,X0))
| ( k2_relat_1(X0) = X1 )
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0)
| ~ r1_tarski(k2_relat_1(X0),X1) ),
inference(cnf_transformation,[],[f12459]) ).
tcf(c_2245,plain,
! [X0: $i,X1: $i] :
( v1_funct_1(sK348(X1,X0))
| ( k2_relat_1(X0) = X1 )
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0)
| ~ r1_tarski(k2_relat_1(X0),X1) ),
inference(cnf_transformation,[],[f12458]) ).
tcf(c_2246,plain,
! [X0: $i,X1: $i] :
( v1_relat_1(sK347(X1,X0))
| ( k2_relat_1(X0) = X1 )
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0)
| ~ r1_tarski(k2_relat_1(X0),X1) ),
inference(cnf_transformation,[],[f12457]) ).
tcf(c_2247,plain,
! [X0: $i,X1: $i] :
( v1_funct_1(sK347(X1,X0))
| ( k2_relat_1(X0) = X1 )
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0)
| ~ r1_tarski(k2_relat_1(X0),X1) ),
inference(cnf_transformation,[],[f12456]) ).
tcf(c_2248,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k2_relat_1(X0),k1_relat_1(X1))
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X0)
| ( k1_relat_1(k5_relat_1(X0,X1)) != k1_relat_1(X0) ) ),
inference(cnf_transformation,[],[f12464]) ).
tcf(c_2249,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(X0,k2_relat_1(X2))
| ~ v1_relat_1(X2)
| ~ v1_relat_1(X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X1)
| ~ r2_hidden(X0,k2_relat_1(k5_relat_1(X1,X2))) ),
inference(cnf_transformation,[],[f12465]) ).
tcf(c_2250,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k1_funct_1(k5_relat_1(X1,X2),X0) = k1_funct_1(X2,k1_funct_1(X1,X0)) )
| ~ v1_relat_1(X2)
| ~ v1_relat_1(X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X1)
| ~ r2_hidden(X0,k1_relat_1(X1)) ),
inference(cnf_transformation,[],[f12466]) ).
tcf(c_2251,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k1_funct_1(k5_relat_1(X1,X2),X0) = k1_funct_1(X2,k1_funct_1(X1,X0)) )
| ~ v1_relat_1(X2)
| ~ v1_relat_1(X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X1)
| ~ r2_hidden(X0,k1_relat_1(k5_relat_1(X1,X2))) ),
inference(cnf_transformation,[],[f12467]) ).
tcf(c_2252,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(X1,k1_relat_1(k5_relat_1(X0,X2)))
| ~ v1_relat_1(X2)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X0)
| ~ r2_hidden(X1,k1_relat_1(X0))
| ~ r2_hidden(k1_funct_1(X0,X1),k1_relat_1(X2)) ),
inference(cnf_transformation,[],[f12470]) ).
tcf(c_2253,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(X0,k1_relat_1(X1))
| ~ v1_relat_1(X2)
| ~ v1_relat_1(X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X1)
| ~ r2_hidden(X0,k1_relat_1(k5_relat_1(X1,X2))) ),
inference(cnf_transformation,[],[f12469]) ).
tcf(c_2254,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(k1_funct_1(X1,X0),k1_relat_1(X2))
| ~ v1_relat_1(X2)
| ~ v1_relat_1(X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X1)
| ~ r2_hidden(X0,k1_relat_1(k5_relat_1(X1,X2))) ),
inference(cnf_transformation,[],[f12468]) ).
tcf(c_2255,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k5_relat_1(X1,X0) = X2 )
| ~ v1_relat_1(X2)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X0)
| ~ r2_hidden(sK349(X1,X0,X2),k1_relat_1(X2))
| ~ r2_hidden(sK349(X1,X0,X2),k1_relat_1(X1))
| ~ r2_hidden(k1_funct_1(X1,sK349(X1,X0,X2)),k1_relat_1(X0))
| ( k1_funct_1(X0,k1_funct_1(X1,sK350(X1,X0,X2))) != k1_funct_1(X2,sK350(X1,X0,X2)) ) ),
inference(cnf_transformation,[],[f12476]) ).
tcf(c_2256,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(sK350(X0,X1,X2),k1_relat_1(X2))
| ( k5_relat_1(X0,X1) = X2 )
| ~ v1_relat_1(X2)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X0)
| ~ r2_hidden(sK349(X0,X1,X2),k1_relat_1(X2))
| ~ r2_hidden(sK349(X0,X1,X2),k1_relat_1(X0))
| ~ r2_hidden(k1_funct_1(X0,sK349(X0,X1,X2)),k1_relat_1(X1)) ),
inference(cnf_transformation,[],[f12475]) ).
tcf(c_2257,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(sK349(X1,X0,X2),k1_relat_1(X2))
| r2_hidden(sK349(X1,X0,X2),k1_relat_1(X1))
| ( k5_relat_1(X1,X0) = X2 )
| ~ v1_relat_1(X2)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X0)
| ( k1_funct_1(X0,k1_funct_1(X1,sK350(X1,X0,X2))) != k1_funct_1(X2,sK350(X1,X0,X2)) ) ),
inference(cnf_transformation,[],[f12474]) ).
tcf(c_2258,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(sK350(X0,X1,X2),k1_relat_1(X2))
| r2_hidden(sK349(X0,X1,X2),k1_relat_1(X2))
| r2_hidden(sK349(X0,X1,X2),k1_relat_1(X0))
| ( k5_relat_1(X0,X1) = X2 )
| ~ v1_relat_1(X2)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X0) ),
inference(cnf_transformation,[],[f12473]) ).
tcf(c_2259,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(sK349(X1,X0,X2),k1_relat_1(X2))
| r2_hidden(k1_funct_1(X1,sK349(X1,X0,X2)),k1_relat_1(X0))
| ( k5_relat_1(X1,X0) = X2 )
| ~ v1_relat_1(X2)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X0)
| ( k1_funct_1(X0,k1_funct_1(X1,sK350(X1,X0,X2))) != k1_funct_1(X2,sK350(X1,X0,X2)) ) ),
inference(cnf_transformation,[],[f12472]) ).
tcf(c_2260,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(sK350(X0,X1,X2),k1_relat_1(X2))
| r2_hidden(sK349(X0,X1,X2),k1_relat_1(X2))
| r2_hidden(k1_funct_1(X0,sK349(X0,X1,X2)),k1_relat_1(X1))
| ( k5_relat_1(X0,X1) = X2 )
| ~ v1_relat_1(X2)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X0) ),
inference(cnf_transformation,[],[f12471]) ).
tcf(c_2262,plain,
! [X0: $i,X1: $i] :
( v1_funct_1(k5_relat_1(X0,X1))
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X0) ),
inference(cnf_transformation,[],[f12477]) ).
tcf(c_2263,plain,
! [X0: $i,X1: $i] :
( v1_relat_1(k5_relat_1(X0,X1))
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f12479]) ).
tcf(c_2264,plain,
! [X0: $i,X1: $i] :
( ( k1_relat_1(k5_relat_1(X0,X1)) = k10_relat_1(X0,k1_relat_1(X1)) )
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f12480]) ).
tcf(c_2265,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k10_relat_1(k5_relat_1(X0,X1),X2) = k10_relat_1(X0,k10_relat_1(X1,X2)) )
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f12481]) ).
tcf(c_2266,plain,
! [X0: $i,X1: $i] :
( ( k2_relat_1(k5_relat_1(X0,X1)) = k9_relat_1(X1,k2_relat_1(X0)) )
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f12482]) ).
tcf(c_2267,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k9_relat_1(k5_relat_1(X0,X1),X2) = k9_relat_1(X1,k9_relat_1(X0,X2)) )
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f12483]) ).
tcf(c_2268,plain,
! [X0: $i,X1: $i] :
( ( k5_relat_1(X0,X1) = np__0 )
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0)
| ~ r1_xboole_0(k2_relat_1(X0),k1_relat_1(X1)) ),
inference(cnf_transformation,[],[f14660]) ).
tcf(c_2269,plain,
! [X0: $i] :
( ( k5_relat_1(np__0,X0) = np__0 )
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f14661]) ).
tcf(c_2270,plain,
! [X0: $i] :
( ( k5_relat_1(X0,np__0) = np__0 )
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f14662]) ).
tcf(c_2271,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k5_relat_1(k5_relat_1(X0,X1),X2) = k5_relat_1(X0,k5_relat_1(X1,X2)) )
| ~ v1_relat_1(X2)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f12487]) ).
tcf(c_2272,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k5_relat_1(X0,k4_xboole_0(X1,k4_xboole_0(X1,X2))),k4_xboole_0(k5_relat_1(X0,X1),k4_xboole_0(k5_relat_1(X0,X1),k5_relat_1(X0,X2))))
| ~ v1_relat_1(X2)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f14663]) ).
tcf(c_2273,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k3_tarski(k2_tarski(k5_relat_1(X0,X1),k5_relat_1(X0,X2))) = k5_relat_1(X0,k3_tarski(k2_tarski(X1,X2))) )
| ~ v1_relat_1(X2)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f14664]) ).
tcf(c_2274,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_tarski(k5_relat_1(X0,X2),k5_relat_1(X1,X3))
| ~ v1_relat_1(X3)
| ~ v1_relat_1(X2)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0)
| ~ r1_tarski(X2,X3)
| ~ r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f12490]) ).
tcf(c_2275,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k5_relat_1(X0,X2),k5_relat_1(X1,X2))
| ~ v1_relat_1(X2)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0)
| ~ r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f12491]) ).
tcf(c_2276,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k5_relat_1(X2,X0),k5_relat_1(X2,X1))
| ~ v1_relat_1(X2)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0)
| ~ r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f12492]) ).
tcf(c_2277,plain,
! [X0: $i,X1: $i] :
( ( k2_relat_1(k5_relat_1(X1,X0)) = k2_relat_1(X0) )
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0)
| ~ r1_tarski(k1_relat_1(X0),k2_relat_1(X1)) ),
inference(cnf_transformation,[],[f12493]) ).
tcf(c_2278,plain,
! [X0: $i,X1: $i] :
( ( k1_relat_1(k5_relat_1(X0,X1)) = k1_relat_1(X0) )
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0)
| ~ r1_tarski(k2_relat_1(X0),k1_relat_1(X1)) ),
inference(cnf_transformation,[],[f12494]) ).
tcf(c_2279,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k2_relat_1(k5_relat_1(X0,X1)),k2_relat_1(X1))
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f12495]) ).
tcf(c_2280,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k1_relat_1(k5_relat_1(X0,X1)),k1_relat_1(X0))
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f12496]) ).
tcf(c_2281,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( k5_relat_1(X0,X1) = X2 )
| ~ v1_relat_1(X2)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0)
| ~ r2_hidden(k2_tarski(k2_tarski(X3,sK352(X0,X1,X2)),k2_enumset1(X3,X3,X3,X3)),X1)
| ~ r2_hidden(k2_tarski(k2_tarski(sK351(X0,X1,X2),X3),k2_enumset1(sK351(X0,X1,X2),sK351(X0,X1,X2),sK351(X0,X1,X2),sK351(X0,X1,X2))),X0)
| ~ r2_hidden(k2_tarski(k2_tarski(sK351(X0,X1,X2),sK352(X0,X1,X2)),k2_enumset1(sK351(X0,X1,X2),sK351(X0,X1,X2),sK351(X0,X1,X2),sK351(X0,X1,X2))),X2) ),
inference(cnf_transformation,[],[f14665]) ).
tcf(c_2282,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(k2_tarski(k2_tarski(sK351(X0,X1,X2),sK353(X0,X1,X2)),k2_enumset1(sK351(X0,X1,X2),sK351(X0,X1,X2),sK351(X0,X1,X2),sK351(X0,X1,X2))),X0)
| r2_hidden(k2_tarski(k2_tarski(sK351(X0,X1,X2),sK352(X0,X1,X2)),k2_enumset1(sK351(X0,X1,X2),sK351(X0,X1,X2),sK351(X0,X1,X2),sK351(X0,X1,X2))),X2)
| ( k5_relat_1(X0,X1) = X2 )
| ~ v1_relat_1(X2)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f14666]) ).
tcf(c_2283,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(k2_tarski(k2_tarski(sK353(X0,X1,X2),sK352(X0,X1,X2)),k2_enumset1(sK353(X0,X1,X2),sK353(X0,X1,X2),sK353(X0,X1,X2),sK353(X0,X1,X2))),X1)
| r2_hidden(k2_tarski(k2_tarski(sK351(X0,X1,X2),sK352(X0,X1,X2)),k2_enumset1(sK351(X0,X1,X2),sK351(X0,X1,X2),sK351(X0,X1,X2),sK351(X0,X1,X2))),X2)
| ( k5_relat_1(X0,X1) = X2 )
| ~ v1_relat_1(X2)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f14667]) ).
tcf(c_2284,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( r2_hidden(k2_tarski(k2_tarski(X0,X3),k2_enumset1(X0,X0,X0,X0)),k5_relat_1(X2,X4))
| ~ v1_relat_1(X4)
| ~ v1_relat_1(X2)
| ~ v1_relat_1(k5_relat_1(X2,X4))
| ~ r2_hidden(k2_tarski(k2_tarski(X1,X3),k2_enumset1(X1,X1,X1,X1)),X4)
| ~ r2_hidden(k2_tarski(k2_tarski(X0,X1),k2_enumset1(X0,X0,X0,X0)),X2) ),
inference(cnf_transformation,[],[f15216]) ).
tcf(c_2285,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r2_hidden(k2_tarski(k2_tarski(X0,sK354(X2,X3,X0,X1)),k2_enumset1(X0,X0,X0,X0)),X2)
| ~ v1_relat_1(X3)
| ~ v1_relat_1(X2)
| ~ v1_relat_1(k5_relat_1(X2,X3))
| ~ r2_hidden(k2_tarski(k2_tarski(X0,X1),k2_enumset1(X0,X0,X0,X0)),k5_relat_1(X2,X3)) ),
inference(cnf_transformation,[],[f15217]) ).
tcf(c_2286,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r2_hidden(k2_tarski(k2_tarski(sK354(X2,X3,X0,X1),X1),k2_enumset1(sK354(X2,X3,X0,X1),sK354(X2,X3,X0,X1),sK354(X2,X3,X0,X1),sK354(X2,X3,X0,X1))),X3)
| ~ v1_relat_1(X3)
| ~ v1_relat_1(X2)
| ~ v1_relat_1(k5_relat_1(X2,X3))
| ~ r2_hidden(k2_tarski(k2_tarski(X0,X1),k2_enumset1(X0,X0,X0,X0)),k5_relat_1(X2,X3)) ),
inference(cnf_transformation,[],[f15218]) ).
tcf(c_2287,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(k5_relat_1(X1,X0))
| ~ v1_relat_1(X1)
| ~ v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f12504]) ).
tcf(c_2288,plain,
! [X0: $i,X1: $i] :
( v1_relat_1(k5_relat_1(X1,X0))
| ~ v1_relat_1(X1)
| ~ v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f12503]) ).
tcf(c_2289,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(k5_relat_1(X0,X1))
| ~ v1_relat_1(X1)
| ~ v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f12506]) ).
tcf(c_2290,plain,
! [X0: $i,X1: $i] :
( v1_relat_1(k5_relat_1(X0,X1))
| ~ v1_relat_1(X1)
| ~ v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f12505]) ).
tcf(c_2291,plain,
! [X0: $i] : m1_eqrel_1(sK355(X0),X0),
inference(cnf_transformation,[],[f12507]) ).
tcf(c_2292,plain,
! [X0: $i,X1: $i] :
( m1_subset_1(X0,k1_zfmisc_1(k1_zfmisc_1(X1)))
| ~ m1_eqrel_1(X0,X1) ),
inference(cnf_transformation,[],[f12508]) ).
tcf(c_2293,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(X1)
| ~ v1_xboole_0(X0)
| ~ m1_eqrel_1(X0,X1) ),
inference(cnf_transformation,[],[f12509]) ).
tcf(c_2294,plain,
! [X0: $i] :
( v1_partfun1(X0,k3_relat_1(X0),k3_relat_1(X0))
| ~ v1_relat_2(X0)
| ~ v8_relat_2(X0)
| ~ v3_relat_2(X0)
| ~ m2_relset_1(X0,k3_relat_1(X0),k3_relat_1(X0)) ),
inference(cnf_transformation,[],[f15221]) ).
tcf(c_2295,plain,
! [X0: $i,X1: $i] :
( v1_relat_2(X0)
| ~ v8_relat_2(X0)
| ~ v3_relat_2(X0)
| ~ v1_partfun1(X0,X1,X1)
| ~ m2_relset_1(X0,X1,X1) ),
inference(cnf_transformation,[],[f15410]) ).
tcf(c_2298,plain,
! [X0: $i,X1: $i] :
( ( k3_relat_1(X0) = X1 )
| ~ v8_relat_2(X0)
| ~ v3_relat_2(X0)
| ~ v1_partfun1(X0,X1,X1)
| ~ m2_relset_1(X0,X1,X1) ),
inference(cnf_transformation,[],[f15413]) ).
tcf(c_2299,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k3_relat_1(X0),k3_tarski(k2_tarski(X1,X2)))
| ~ m2_relset_1(X0,X1,X2) ),
inference(cnf_transformation,[],[f14671]) ).
tcf(c_2300,plain,
! [X0: $i] :
( v1_relat_2(X0)
| ~ v1_relat_1(X0)
| ~ r1_tarski(k6_partfun1(k3_relat_1(X0)),X0) ),
inference(cnf_transformation,[],[f14672]) ).
tcf(c_2301,plain,
! [X0: $i] :
( r1_tarski(k6_partfun1(k3_relat_1(X0)),X0)
| ~ v1_relat_2(X0)
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f14673]) ).
tcf(c_2302,plain,
! [X0: $i] :
( ( k3_relat_1(k4_relat_1(X0)) = k3_relat_1(X0) )
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f12521]) ).
tcf(c_2303,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k3_relat_1(k4_xboole_0(X0,k4_xboole_0(X0,X1))),k4_xboole_0(k3_relat_1(X0),k4_xboole_0(k3_relat_1(X0),k3_relat_1(X1))))
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f14674]) ).
tcf(c_2304,plain,
! [X0: $i,X1: $i] :
( ( k3_tarski(k2_tarski(k3_relat_1(X0),k3_relat_1(X1))) = k3_relat_1(k3_tarski(k2_tarski(X0,X1))) )
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f14675]) ).
tcf(c_2305,plain,
! [X0: $i,X1: $i] :
( ( k3_relat_1(k2_enumset1(k2_tarski(k2_tarski(X0,X1),k2_enumset1(X0,X0,X0,X0)),k2_tarski(k2_tarski(X0,X1),k2_enumset1(X0,X0,X0,X0)),k2_tarski(k2_tarski(X0,X1),k2_enumset1(X0,X0,X0,X0)),k2_tarski(k2_tarski(X0,X1),k2_enumset1(X0,X0,X0,X0)))) = k2_tarski(X0,X1) )
| ~ v1_relat_1(k2_enumset1(k2_tarski(k2_tarski(X0,X1),k2_enumset1(X0,X0,X0,X0)),k2_tarski(k2_tarski(X0,X1),k2_enumset1(X0,X0,X0,X0)),k2_tarski(k2_tarski(X0,X1),k2_enumset1(X0,X0,X0,X0)),k2_tarski(k2_tarski(X0,X1),k2_enumset1(X0,X0,X0,X0)))) ),
inference(cnf_transformation,[],[f15223]) ).
tcf(c_2306,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k3_relat_1(X0),k3_relat_1(X1))
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0)
| ~ r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f12525]) ).
tcf(c_2307,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(X0,k3_relat_1(X2))
| ~ v1_relat_1(X2)
| ~ r2_hidden(k2_tarski(k2_tarski(X0,X1),k2_enumset1(X0,X0,X0,X0)),X2) ),
inference(cnf_transformation,[],[f14677]) ).
tcf(c_2308,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(X1,k3_relat_1(X2))
| ~ v1_relat_1(X2)
| ~ r2_hidden(k2_tarski(k2_tarski(X0,X1),k2_enumset1(X0,X0,X0,X0)),X2) ),
inference(cnf_transformation,[],[f14678]) ).
tcf(c_2309,plain,
! [X0: $i] :
( r1_tarski(k1_relat_1(X0),k3_relat_1(X0))
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f12529]) ).
tcf(c_2310,plain,
! [X0: $i] :
( r1_tarski(k2_relat_1(X0),k3_relat_1(X0))
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f12528]) ).
tcf(c_2311,plain,
! [X0: $i] :
( ( k3_tarski(k2_tarski(k1_relat_1(X0),k2_relat_1(X0))) = k3_relat_1(X0) )
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f14679]) ).
tcf(c_2312,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_xboole_0(X0)
| m2_filter_1(X1,X0,X2)
| ~ v1_relat_1(X2)
| ~ v1_funct_1(X1)
| ~ m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ r2_hidden(k1_domain_1(X0,X0,k2_binop_1(X0,X0,X0,X1,sK356(X0,X2,X1),sK358(X0,X2,X1)),k2_binop_1(X0,X0,X0,X1,sK357(X0,X2,X1),sK359(X0,X2,X1))),X2) ),
inference(cnf_transformation,[],[f12538]) ).
tcf(c_2313,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_xboole_0(X1)
| m2_filter_1(X0,X1,X2)
| r2_hidden(k1_domain_1(X1,X1,sK356(X1,X2,X0),sK357(X1,X2,X0)),X2)
| ~ v1_relat_1(X2)
| ~ v1_funct_1(X0)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1) ),
inference(cnf_transformation,[],[f12537]) ).
tcf(c_2314,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_xboole_0(X1)
| m2_filter_1(X0,X1,X2)
| r2_hidden(k1_domain_1(X1,X1,sK358(X1,X2,X0),sK359(X1,X2,X0)),X2)
| ~ v1_relat_1(X2)
| ~ v1_funct_1(X0)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1) ),
inference(cnf_transformation,[],[f12536]) ).
tcf(c_2315,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_xboole_0(X1)
| m2_filter_1(X0,X1,X2)
| m1_subset_1(sK359(X1,X2,X0),X1)
| ~ v1_relat_1(X2)
| ~ v1_funct_1(X0)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1) ),
inference(cnf_transformation,[],[f12535]) ).
tcf(c_2316,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_xboole_0(X1)
| m2_filter_1(X0,X1,X2)
| m1_subset_1(sK358(X1,X2,X0),X1)
| ~ v1_relat_1(X2)
| ~ v1_funct_1(X0)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1) ),
inference(cnf_transformation,[],[f12534]) ).
tcf(c_2317,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_xboole_0(X1)
| m2_filter_1(X0,X1,X2)
| m1_subset_1(sK357(X1,X2,X0),X1)
| ~ v1_relat_1(X2)
| ~ v1_funct_1(X0)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1) ),
inference(cnf_transformation,[],[f12533]) ).
tcf(c_2318,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_xboole_0(X1)
| m2_filter_1(X0,X1,X2)
| m1_subset_1(sK356(X1,X2,X0),X1)
| ~ v1_relat_1(X2)
| ~ v1_funct_1(X0)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1) ),
inference(cnf_transformation,[],[f12532]) ).
tcf(c_2319,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( v1_xboole_0(X0)
| r2_hidden(k1_domain_1(X0,X0,k2_binop_1(X0,X0,X0,X6,X1,X4),k2_binop_1(X0,X0,X0,X6,X2,X5)),X3)
| ~ v1_relat_1(X3)
| ~ v1_funct_1(X6)
| ~ m1_subset_1(X5,X0)
| ~ m1_subset_1(X4,X0)
| ~ m1_subset_1(X2,X0)
| ~ m1_subset_1(X1,X0)
| ~ m2_filter_1(X6,X0,X3)
| ~ m2_relset_1(X6,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X6,k2_zfmisc_1(X0,X0),X0)
| ~ r2_hidden(k1_domain_1(X0,X0,X4,X5),X3)
| ~ r2_hidden(k1_domain_1(X0,X0,X1,X2),X3) ),
inference(cnf_transformation,[],[f12531]) ).
tcf(c_2320,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( m1_subset_1(k1_domain_1(u2_cat_1(X1),u2_cat_1(X3),X0,X2),u2_cat_1(k11_cat_2(X1,X3)))
| ~ l1_cat_1(X3)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X3)
| ~ v2_cat_1(X1)
| ~ m1_subset_1(X2,u2_cat_1(X3))
| ~ m1_subset_1(X0,u2_cat_1(X1)) ),
inference(cnf_transformation,[],[f12539]) ).
tcf(c_2321,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( m1_subset_1(k1_domain_1(u1_cat_1(X1),u1_cat_1(X3),X0,X2),u1_cat_1(k11_cat_2(X1,X3)))
| ~ l1_cat_1(X3)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X3)
| ~ v2_cat_1(X1)
| ~ m1_subset_1(X2,u1_cat_1(X3))
| ~ m1_subset_1(X0,u1_cat_1(X1)) ),
inference(cnf_transformation,[],[f12540]) ).
tcf(c_2322,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X1)
| ( k8_funct_2(k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1),u1_rlvect_1(X1),k1_domain_1(u1_struct_0(X1),u1_struct_0(X1),X0,X2)) = k2_rlvect_1(X1,X0,X2) )
| ~ l1_rlvect_1(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f12541]) ).
tcf(c_2323,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( v3_struct_0(X0)
| r2_hidden(k9_filter_0(X0,k3_lattices(X0,X1,X4),k3_lattices(X0,X2,X5)),X3)
| ~ v3_filter_0(X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| ~ m1_filter_0(X3,X0)
| ~ m1_subset_1(X5,u1_struct_0(X0))
| ~ m1_subset_1(X4,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ r2_hidden(k9_filter_0(X0,X4,X5),X3)
| ~ r2_hidden(k9_filter_0(X0,X1,X2),X3) ),
inference(cnf_transformation,[],[f12543]) ).
tcf(c_2324,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( v3_struct_0(X0)
| r2_hidden(k9_filter_0(X0,k4_lattices(X0,X1,X4),k4_lattices(X0,X2,X5)),X3)
| ~ v3_filter_0(X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| ~ m1_filter_0(X3,X0)
| ~ m1_subset_1(X5,u1_struct_0(X0))
| ~ m1_subset_1(X4,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ r2_hidden(k9_filter_0(X0,X4,X5),X3)
| ~ r2_hidden(k9_filter_0(X0,X1,X2),X3) ),
inference(cnf_transformation,[],[f12542]) ).
tcf(c_2325,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X1)
| ( k9_filter_0(X1,X0,k9_filter_0(X1,X0,X2)) = X2 )
| ~ l3_lattices(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f12544]) ).
tcf(c_2326,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v3_struct_0(X0)
| ( X2 = X3 )
| ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| ~ m1_subset_1(X3,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ( k9_filter_0(X0,X1,X2) != k9_filter_0(X0,X1,X3) ) ),
inference(cnf_transformation,[],[f12545]) ).
tcf(c_2327,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X1)
| ( k4_lattices(X1,X0,k7_lattices(X1,X2)) = k7_lattices(X1,k4_filter_0(X1,X0,X2)) )
| ~ l3_lattices(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f12549]) ).
tcf(c_2328,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X1)
| ( k3_lattices(X1,k4_lattices(X1,X0,k7_lattices(X1,X2)),k4_lattices(X1,k7_lattices(X1,X0),X2)) = k7_lattices(X1,k9_filter_0(X1,X0,X2)) )
| ~ l3_lattices(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f12548]) ).
tcf(c_2329,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X1)
| ( k7_lattices(X1,k9_filter_0(X1,X0,X2)) = k9_filter_0(X1,X0,k7_lattices(X1,X2)) )
| ~ l3_lattices(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f12547]) ).
tcf(c_2330,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X1)
| ( k7_lattices(X1,k9_filter_0(X1,X0,X2)) = k9_filter_0(X1,k7_lattices(X1,X0),X2) )
| ~ l3_lattices(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f12546]) ).
tcf(c_2331,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X1)
| ( k3_lattices(X1,k4_lattices(X1,X0,X2),k4_lattices(X1,k7_lattices(X1,X0),k7_lattices(X1,X2))) = k9_filter_0(X1,X0,X2) )
| ~ l3_lattices(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f12550]) ).
tcf(c_2332,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X1)
| m1_subset_1(k9_filter_0(X1,X0,X2),u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f12551]) ).
tcf(c_2333,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( v3_struct_0(X0)
| r2_hidden(k9_filter_0(X0,X1,X4),X3)
| ~ v3_filter_0(X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| ~ m1_filter_0(X3,X0)
| ~ m1_subset_1(X4,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ r2_hidden(k9_filter_0(X0,X2,X4),X3)
| ~ r2_hidden(k9_filter_0(X0,X1,X2),X3) ),
inference(cnf_transformation,[],[f12552]) ).
tcf(c_2334,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X1)
| ( k9_filter_0(X1,X0,X2) = k9_filter_0(X1,X2,X0) )
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f12553]) ).
tcf(c_2335,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X1)
| ( k4_lattices(X1,k4_filter_0(X1,X0,X2),k4_filter_0(X1,X2,X0)) = k9_filter_0(X1,X0,X2) )
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f12554]) ).
tcf(c_2337,plain,
! [X0: $i] :
( v3_struct_0(X0)
| r6_binop_1(u1_struct_0(X0),u1_lattices(X0),u1_lattices(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0) ),
inference(cnf_transformation,[],[f12556]) ).
tcf(c_2338,plain,
! [X0: $i] :
( v11_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| ~ r6_binop_1(u1_struct_0(X0),u1_lattices(X0),u2_lattices(X0)) ),
inference(cnf_transformation,[],[f12557]) ).
tcf(c_2339,plain,
! [X0: $i] :
( v3_struct_0(X0)
| r6_binop_1(u1_struct_0(X0),u1_lattices(X0),u2_lattices(X0))
| ~ v11_lattices(X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0) ),
inference(cnf_transformation,[],[f15414]) ).
tcf(c_2340,plain,
! [X0: $i] :
( v11_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| ~ r6_binop_1(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) ),
inference(cnf_transformation,[],[f12559]) ).
tcf(c_2341,plain,
! [X0: $i] :
( v3_struct_0(X0)
| r6_binop_1(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0))
| ~ v11_lattices(X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0) ),
inference(cnf_transformation,[],[f15415]) ).
tcf(c_2342,plain,
! [X0: $i] :
( v3_struct_0(X0)
| r6_binop_1(u1_struct_0(X0),u2_lattices(X0),u2_lattices(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0) ),
inference(cnf_transformation,[],[f12561]) ).
tcf(c_2343,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_xboole_0(X0)
| r6_binop_1(X0,X2,X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X1)
| ~ v1_binop_1(X2,X0)
| ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ( k2_binop_1(X0,X0,X0,X1,k2_binop_1(X0,X0,X0,X2,sK360(X0,X1,X2),sK362(X0,X1,X2)),k2_binop_1(X0,X0,X0,X2,sK361(X0,X1,X2),sK362(X0,X1,X2))) != k2_binop_1(X0,X0,X0,X2,k2_binop_1(X0,X0,X0,X1,sK360(X0,X1,X2),sK361(X0,X1,X2)),sK362(X0,X1,X2)) ) ),
inference(cnf_transformation,[],[f12566]) ).
tcf(c_2344,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_xboole_0(X1)
| r6_binop_1(X1,X2,X0)
| m1_subset_1(sK362(X1,X0,X2),X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X0)
| ~ v1_binop_1(X2,X1)
| ~ m2_relset_1(X2,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1) ),
inference(cnf_transformation,[],[f12565]) ).
tcf(c_2345,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_xboole_0(X1)
| r6_binop_1(X1,X2,X0)
| m1_subset_1(sK361(X1,X0,X2),X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X0)
| ~ v1_binop_1(X2,X1)
| ~ m2_relset_1(X2,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1) ),
inference(cnf_transformation,[],[f12564]) ).
tcf(c_2346,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_xboole_0(X1)
| r6_binop_1(X1,X2,X0)
| m1_subset_1(sK360(X1,X0,X2),X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X0)
| ~ v1_binop_1(X2,X1)
| ~ m2_relset_1(X2,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1) ),
inference(cnf_transformation,[],[f12563]) ).
tcf(c_2347,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( v1_xboole_0(X1)
| ( k2_binop_1(X1,X1,X1,X0,k2_binop_1(X1,X1,X1,X2,X5,X4),k2_binop_1(X1,X1,X1,X2,X3,X4)) = k2_binop_1(X1,X1,X1,X2,k2_binop_1(X1,X1,X1,X0,X5,X3),X4) )
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X0)
| ~ v1_binop_1(X2,X1)
| ~ m1_subset_1(X5,X1)
| ~ m1_subset_1(X4,X1)
| ~ m1_subset_1(X3,X1)
| ~ r6_binop_1(X1,X2,X0)
| ~ m2_relset_1(X2,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1) ),
inference(cnf_transformation,[],[f12562]) ).
tcf(c_2348,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_xboole_0(X0)
| r6_binop_1(X0,X2,X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X1)
| ~ v1_binop_1(X2,X0)
| ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ( k2_binop_1(X0,X0,X0,X1,k2_binop_1(X0,X0,X0,X2,sK363(X0,X1,X2),sK364(X0,X1,X2)),k2_binop_1(X0,X0,X0,X2,sK363(X0,X1,X2),sK365(X0,X1,X2))) != k2_binop_1(X0,X0,X0,X2,sK363(X0,X1,X2),k2_binop_1(X0,X0,X0,X1,sK364(X0,X1,X2),sK365(X0,X1,X2))) ) ),
inference(cnf_transformation,[],[f12571]) ).
tcf(c_2349,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_xboole_0(X1)
| r6_binop_1(X1,X2,X0)
| m1_subset_1(sK365(X1,X0,X2),X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X0)
| ~ v1_binop_1(X2,X1)
| ~ m2_relset_1(X2,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1) ),
inference(cnf_transformation,[],[f12570]) ).
tcf(c_2350,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_xboole_0(X1)
| r6_binop_1(X1,X2,X0)
| m1_subset_1(sK364(X1,X0,X2),X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X0)
| ~ v1_binop_1(X2,X1)
| ~ m2_relset_1(X2,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1) ),
inference(cnf_transformation,[],[f12569]) ).
tcf(c_2351,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_xboole_0(X1)
| r6_binop_1(X1,X2,X0)
| m1_subset_1(sK363(X1,X0,X2),X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X0)
| ~ v1_binop_1(X2,X1)
| ~ m2_relset_1(X2,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1) ),
inference(cnf_transformation,[],[f12568]) ).
tcf(c_2352,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( v1_xboole_0(X1)
| ( k2_binop_1(X1,X1,X1,X0,k2_binop_1(X1,X1,X1,X2,X5,X3),k2_binop_1(X1,X1,X1,X2,X5,X4)) = k2_binop_1(X1,X1,X1,X2,X5,k2_binop_1(X1,X1,X1,X0,X3,X4)) )
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X0)
| ~ v1_binop_1(X2,X1)
| ~ m1_subset_1(X5,X1)
| ~ m1_subset_1(X4,X1)
| ~ m1_subset_1(X3,X1)
| ~ r6_binop_1(X1,X2,X0)
| ~ m2_relset_1(X2,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1) ),
inference(cnf_transformation,[],[f12567]) ).
tcf(c_2353,plain,
! [X0: $i,X1: $i,X2: $i] :
( r6_binop_1(X2,X1,X0)
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X0)
| ~ m2_relset_1(X1,k2_zfmisc_1(X2,X2),X2)
| ~ m2_relset_1(X0,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_2(X1,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_2(X0,k2_zfmisc_1(X2,X2),X2)
| ( k1_binop_1(X0,k1_binop_1(X1,sK366(X2,X1,X0),sK368(X2,X1,X0)),k1_binop_1(X1,sK367(X2,X1,X0),sK368(X2,X1,X0))) != k1_binop_1(X1,k1_binop_1(X0,sK366(X2,X1,X0),sK367(X2,X1,X0)),sK368(X2,X1,X0)) )
| ( k1_binop_1(X0,k1_binop_1(X1,sK366(X2,X1,X0),sK367(X2,X1,X0)),k1_binop_1(X1,sK366(X2,X1,X0),sK368(X2,X1,X0))) != k1_binop_1(X1,sK366(X2,X1,X0),k1_binop_1(X0,sK367(X2,X1,X0),sK368(X2,X1,X0))) ) ),
inference(cnf_transformation,[],[f12577]) ).
tcf(c_2354,plain,
! [X0: $i,X1: $i,X2: $i] :
( r6_binop_1(X1,X0,X2)
| m1_subset_1(sK368(X1,X0,X2),X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X0)
| ~ m2_relset_1(X2,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1) ),
inference(cnf_transformation,[],[f12576]) ).
tcf(c_2355,plain,
! [X0: $i,X1: $i,X2: $i] :
( r6_binop_1(X1,X0,X2)
| m1_subset_1(sK367(X1,X0,X2),X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X0)
| ~ m2_relset_1(X2,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1) ),
inference(cnf_transformation,[],[f12575]) ).
tcf(c_2356,plain,
! [X0: $i,X1: $i,X2: $i] :
( r6_binop_1(X1,X0,X2)
| m1_subset_1(sK366(X1,X0,X2),X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X0)
| ~ m2_relset_1(X2,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1) ),
inference(cnf_transformation,[],[f12574]) ).
tcf(c_2357,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( k1_binop_1(X2,k1_binop_1(X0,X5,X3),k1_binop_1(X0,X5,X4)) = k1_binop_1(X0,X5,k1_binop_1(X2,X3,X4)) )
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X0)
| ~ m1_subset_1(X5,X1)
| ~ m1_subset_1(X4,X1)
| ~ m1_subset_1(X3,X1)
| ~ r6_binop_1(X1,X0,X2)
| ~ m2_relset_1(X2,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1) ),
inference(cnf_transformation,[],[f12573]) ).
tcf(c_2358,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( k1_binop_1(X2,k1_binop_1(X0,X5,X4),k1_binop_1(X0,X3,X4)) = k1_binop_1(X0,k1_binop_1(X2,X5,X3),X4) )
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X0)
| ~ m1_subset_1(X5,X1)
| ~ m1_subset_1(X4,X1)
| ~ m1_subset_1(X3,X1)
| ~ r6_binop_1(X1,X0,X2)
| ~ m2_relset_1(X2,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1) ),
inference(cnf_transformation,[],[f12572]) ).
tcf(c_2359,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(X1)
| m2_filter_1(sK369(X1,X0),X1,X0)
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f12578]) ).
tcf(c_2360,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_funct_1(X0)
| v1_xboole_0(X1)
| ~ v1_relat_1(X2)
| ~ m2_filter_1(X0,X1,X2) ),
inference(cnf_transformation,[],[f12581]) ).
tcf(c_2361,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_xboole_0(X1)
| v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1)
| ~ v1_relat_1(X2)
| ~ m2_filter_1(X0,X1,X2) ),
inference(cnf_transformation,[],[f12580]) ).
tcf(c_2362,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_xboole_0(X1)
| m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1)
| ~ v1_relat_1(X2)
| ~ m2_filter_1(X0,X1,X2) ),
inference(cnf_transformation,[],[f12579]) ).
tcf(c_2363,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_xboole_0(X1)
| ( k2_filter_1(X1,X0,X2) = k6_eqrel_1(X1,X0,X2) )
| ~ v8_relat_2(X0)
| ~ v3_relat_2(X0)
| ~ m1_subset_1(X2,X1)
| ~ m1_relset_1(X0,X1,X1)
| ~ v1_partfun1(X0,X1,X1) ),
inference(cnf_transformation,[],[f12582]) ).
tcf(c_2364,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_xboole_0(X1)
| m2_subset_1(k2_filter_1(X1,X0,X2),k1_zfmisc_1(X1),k8_eqrel_1(X1,X0))
| ~ v8_relat_2(X0)
| ~ v3_relat_2(X0)
| ~ m1_subset_1(X2,X1)
| ~ m1_relset_1(X0,X1,X1)
| ~ v1_partfun1(X0,X1,X1) ),
inference(cnf_transformation,[],[f12583]) ).
tcf(c_2365,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v1_xboole_0(X1)
| r2_binop_1(k8_eqrel_1(X1,X0),k2_filter_1(X1,X0,X3),k4_filter_1(X1,X0,X2))
| ~ v8_relat_2(X0)
| ~ v3_relat_2(X0)
| ~ m1_subset_1(X3,X1)
| ~ r2_binop_1(X1,X3,X2)
| ~ m2_filter_1(X2,X1,X0)
| ~ v1_partfun1(X0,X1,X1)
| ~ m2_relset_1(X0,X1,X1) ),
inference(cnf_transformation,[],[f12584]) ).
tcf(c_2366,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v1_xboole_0(X1)
| r1_binop_1(k8_eqrel_1(X1,X0),k2_filter_1(X1,X0,X3),k4_filter_1(X1,X0,X2))
| ~ v8_relat_2(X0)
| ~ v3_relat_2(X0)
| ~ m1_subset_1(X3,X1)
| ~ r1_binop_1(X1,X3,X2)
| ~ m2_filter_1(X2,X1,X0)
| ~ v1_partfun1(X0,X1,X1)
| ~ m2_relset_1(X0,X1,X1) ),
inference(cnf_transformation,[],[f12585]) ).
tcf(c_2367,plain,
! [X0: $i] :
( v3_rlvect_1(X0)
| v3_struct_0(X0)
| ~ l1_rlvect_1(X0)
| ( k1_binop_1(u1_rlvect_1(X0),sK370(X0),sK371(X0)) != k1_binop_1(u1_rlvect_1(X0),sK371(X0),sK370(X0)) ) ),
inference(cnf_transformation,[],[f12589]) ).
tcf(c_2368,plain,
! [X0: $i] :
( v3_rlvect_1(X0)
| v3_struct_0(X0)
| m1_subset_1(sK371(X0),u1_struct_0(X0))
| ~ l1_rlvect_1(X0) ),
inference(cnf_transformation,[],[f12588]) ).
tcf(c_2369,plain,
! [X0: $i] :
( v3_rlvect_1(X0)
| v3_struct_0(X0)
| m1_subset_1(sK370(X0),u1_struct_0(X0))
| ~ l1_rlvect_1(X0) ),
inference(cnf_transformation,[],[f12587]) ).
tcf(c_2370,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X1)
| ( k1_binop_1(u1_rlvect_1(X1),X0,X2) = k1_binop_1(u1_rlvect_1(X1),X2,X0) )
| ~ v3_rlvect_1(X1)
| ~ l1_rlvect_1(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f12586]) ).
tcf(c_2371,plain,
! [X0: $i] :
( v4_rlvect_1(X0)
| v3_struct_0(X0)
| ~ l1_rlvect_1(X0)
| ( k1_binop_1(u1_rlvect_1(X0),k1_binop_1(u1_rlvect_1(X0),sK372(X0),sK373(X0)),sK374(X0)) != k1_binop_1(u1_rlvect_1(X0),sK372(X0),k1_binop_1(u1_rlvect_1(X0),sK373(X0),sK374(X0))) ) ),
inference(cnf_transformation,[],[f12594]) ).
tcf(c_2372,plain,
! [X0: $i] :
( v4_rlvect_1(X0)
| v3_struct_0(X0)
| m1_subset_1(sK374(X0),u1_struct_0(X0))
| ~ l1_rlvect_1(X0) ),
inference(cnf_transformation,[],[f12593]) ).
tcf(c_2373,plain,
! [X0: $i] :
( v4_rlvect_1(X0)
| v3_struct_0(X0)
| m1_subset_1(sK373(X0),u1_struct_0(X0))
| ~ l1_rlvect_1(X0) ),
inference(cnf_transformation,[],[f12592]) ).
tcf(c_2374,plain,
! [X0: $i] :
( v4_rlvect_1(X0)
| v3_struct_0(X0)
| m1_subset_1(sK372(X0),u1_struct_0(X0))
| ~ l1_rlvect_1(X0) ),
inference(cnf_transformation,[],[f12591]) ).
tcf(c_2375,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v3_struct_0(X1)
| ( k1_binop_1(u1_rlvect_1(X1),k1_binop_1(u1_rlvect_1(X1),X0,X2),X3) = k1_binop_1(u1_rlvect_1(X1),X0,k1_binop_1(u1_rlvect_1(X1),X2,X3)) )
| ~ v4_rlvect_1(X1)
| ~ l1_rlvect_1(X1)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f12590]) ).
tcf(c_2376,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( v1_xboole_0(X2)
| v1_xboole_0(X1)
| ( k2_binop_1(X1,X2,X3,X0,X4,X5) = k1_binop_1(X0,X4,X5) )
| ~ v1_funct_1(X0)
| ~ m1_subset_1(X5,X2)
| ~ m1_subset_1(X4,X1)
| ~ m1_relset_1(X0,k2_zfmisc_1(X1,X2),X3)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X2),X3) ),
inference(cnf_transformation,[],[f12595]) ).
tcf(c_2377,plain,
! [X0: $i,X1: $i] :
( v2_binop_1(X0,X1)
| ~ v1_funct_1(X0)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1)
| ( k1_binop_1(X0,k1_binop_1(X0,sK375(X1,X0),sK376(X1,X0)),sK377(X1,X0)) != k1_binop_1(X0,sK375(X1,X0),k1_binop_1(X0,sK376(X1,X0),sK377(X1,X0))) ) ),
inference(cnf_transformation,[],[f12600]) ).
tcf(c_2378,plain,
! [X0: $i,X1: $i] :
( v2_binop_1(X0,X1)
| m1_subset_1(sK377(X1,X0),X1)
| ~ v1_funct_1(X0)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1) ),
inference(cnf_transformation,[],[f12599]) ).
tcf(c_2379,plain,
! [X0: $i,X1: $i] :
( v2_binop_1(X0,X1)
| m1_subset_1(sK376(X1,X0),X1)
| ~ v1_funct_1(X0)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1) ),
inference(cnf_transformation,[],[f12598]) ).
tcf(c_2380,plain,
! [X0: $i,X1: $i] :
( v2_binop_1(X0,X1)
| m1_subset_1(sK375(X1,X0),X1)
| ~ v1_funct_1(X0)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1) ),
inference(cnf_transformation,[],[f12597]) ).
tcf(c_2381,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( k1_binop_1(X0,k1_binop_1(X0,X2,X4),X3) = k1_binop_1(X0,X2,k1_binop_1(X0,X4,X3)) )
| ~ v1_funct_1(X0)
| ~ v2_binop_1(X0,X1)
| ~ m1_subset_1(X4,X1)
| ~ m1_subset_1(X3,X1)
| ~ m1_subset_1(X2,X1)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1) ),
inference(cnf_transformation,[],[f12596]) ).
tcf(c_2382,plain,
! [X0: $i,X1: $i] :
( v1_binop_1(X0,X1)
| ~ v1_funct_1(X0)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1)
| ( k1_binop_1(X0,sK378(X1,X0),sK379(X1,X0)) != k1_binop_1(X0,sK379(X1,X0),sK378(X1,X0)) ) ),
inference(cnf_transformation,[],[f12604]) ).
tcf(c_2383,plain,
! [X0: $i,X1: $i] :
( v1_binop_1(X0,X1)
| m1_subset_1(sK379(X1,X0),X1)
| ~ v1_funct_1(X0)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1) ),
inference(cnf_transformation,[],[f12603]) ).
tcf(c_2384,plain,
! [X0: $i,X1: $i] :
( v1_binop_1(X0,X1)
| m1_subset_1(sK378(X1,X0),X1)
| ~ v1_funct_1(X0)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1) ),
inference(cnf_transformation,[],[f12602]) ).
tcf(c_2385,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( k1_binop_1(X0,X2,X3) = k1_binop_1(X0,X3,X2) )
| ~ v1_funct_1(X0)
| ~ v1_binop_1(X0,X1)
| ~ m1_subset_1(X3,X1)
| ~ m1_subset_1(X2,X1)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1) ),
inference(cnf_transformation,[],[f12601]) ).
tcf(c_2386,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k1_funct_1(X0,k2_tarski(k2_tarski(X1,X2),k2_enumset1(X1,X1,X1,X1))) = k1_binop_1(X0,X1,X2) )
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0) ),
inference(cnf_transformation,[],[f14680]) ).
tcf(c_2387,plain,
! [X0: $i,X1: $i,X2: $i] :
( m1_subset_1(k6_eqrel_1(X1,X0,X2),k1_zfmisc_1(X1))
| ~ v1_relat_2(X0)
| ~ v3_relat_2(X0)
| ~ m1_relset_1(X0,X1,X1)
| ~ v1_partfun1(X0,X1,X1) ),
inference(cnf_transformation,[],[f12606]) ).
tcf(c_2388,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r2_hidden(k2_tarski(k2_tarski(X2,X3),k2_enumset1(X2,X2,X2,X2)),X1)
| ~ v8_relat_2(X1)
| ~ v3_relat_2(X1)
| ~ r2_hidden(X2,X0)
| ~ v1_partfun1(X1,X0,X0)
| ~ m2_relset_1(X1,X0,X0)
| ( k6_eqrel_1(X0,X1,X2) != k6_eqrel_1(X0,X1,X3) ) ),
inference(cnf_transformation,[],[f14681]) ).
tcf(c_2389,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( k6_eqrel_1(X3,X2,X0) = k6_eqrel_1(X3,X2,X1) )
| ~ v8_relat_2(X2)
| ~ v3_relat_2(X2)
| ~ r2_hidden(X0,X3)
| ~ v1_partfun1(X2,X3,X3)
| ~ m2_relset_1(X2,X3,X3)
| ~ r2_hidden(k2_tarski(k2_tarski(X0,X1),k2_enumset1(X0,X0,X0,X0)),X2) ),
inference(cnf_transformation,[],[f14682]) ).
tcf(c_2390,plain,
! [X0: $i,X1: $i] :
( ( k2_enumset1(X0,X0,X0,X0) = k6_eqrel_1(X1,k6_partfun1(X1),X0) )
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f14683]) ).
tcf(c_2391,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_xboole_0(k6_eqrel_1(X1,X0,X2),k6_eqrel_1(X1,X0,X3))
| ( k6_eqrel_1(X1,X0,X2) = k6_eqrel_1(X1,X0,X3) )
| ~ v8_relat_2(X0)
| ~ v3_relat_2(X0)
| ~ r2_hidden(X3,X1)
| ~ r2_hidden(X2,X1)
| ~ v1_partfun1(X0,X1,X1)
| ~ m2_relset_1(X0,X1,X1) ),
inference(cnf_transformation,[],[f12610]) ).
tcf(c_2392,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r2_hidden(X3,k6_eqrel_1(X0,X1,X2))
| ~ v8_relat_2(X1)
| ~ v3_relat_2(X1)
| ~ r2_hidden(X2,X0)
| ~ v1_partfun1(X1,X0,X0)
| ~ m2_relset_1(X1,X0,X0)
| ( k6_eqrel_1(X0,X1,X2) != k6_eqrel_1(X0,X1,X3) ) ),
inference(cnf_transformation,[],[f12612]) ).
tcf(c_2393,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( k6_eqrel_1(X1,X2,X0) = k6_eqrel_1(X1,X2,X3) )
| ~ v8_relat_2(X2)
| ~ v3_relat_2(X2)
| ~ r2_hidden(X3,X1)
| ~ v1_partfun1(X2,X1,X1)
| ~ m2_relset_1(X2,X1,X1)
| ~ r2_hidden(X0,k6_eqrel_1(X1,X2,X3)) ),
inference(cnf_transformation,[],[f12611]) ).
tcf(c_2394,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( r2_hidden(k2_tarski(k2_tarski(X0,X4),k2_enumset1(X0,X0,X0,X0)),X2)
| ~ v1_relat_2(X2)
| ~ v8_relat_2(X2)
| ~ v3_relat_2(X2)
| ~ v1_partfun1(X2,X1,X1)
| ~ m2_relset_1(X2,X1,X1)
| ~ r2_hidden(X4,k6_eqrel_1(X1,X2,X3))
| ~ r2_hidden(X0,k6_eqrel_1(X1,X2,X3)) ),
inference(cnf_transformation,[],[f14684]) ).
tcf(c_2395,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(X2,k6_eqrel_1(X1,X0,sK380(X1,X0,X2)))
| ~ v1_relat_2(X0)
| ~ v3_relat_2(X0)
| ~ r2_hidden(X2,X1)
| ~ v1_partfun1(X0,X1,X1)
| ~ m2_relset_1(X0,X1,X1) ),
inference(cnf_transformation,[],[f12614]) ).
tcf(c_2396,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(X2,k6_eqrel_1(X1,X0,X2))
| ~ v1_relat_2(X0)
| ~ v3_relat_2(X0)
| ~ r2_hidden(X2,X1)
| ~ v1_partfun1(X0,X1,X1)
| ~ m2_relset_1(X0,X1,X1) ),
inference(cnf_transformation,[],[f12615]) ).
tcf(c_2397,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r2_hidden(X0,k6_eqrel_1(X3,X2,X1))
| ~ v1_relat_2(X2)
| ~ v3_relat_2(X2)
| ~ v1_partfun1(X2,X3,X3)
| ~ m2_relset_1(X2,X3,X3)
| ~ r2_hidden(k2_tarski(k2_tarski(X0,X1),k2_enumset1(X0,X0,X0,X0)),X2) ),
inference(cnf_transformation,[],[f14685]) ).
tcf(c_2398,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r2_hidden(k2_tarski(k2_tarski(X0,X3),k2_enumset1(X0,X0,X0,X0)),X2)
| ~ v1_relat_2(X2)
| ~ v3_relat_2(X2)
| ~ v1_partfun1(X2,X1,X1)
| ~ m2_relset_1(X2,X1,X1)
| ~ r2_hidden(X0,k6_eqrel_1(X1,X2,X3)) ),
inference(cnf_transformation,[],[f14686]) ).
tcf(c_2399,plain,
! [X0: $i] :
( r2_hidden(sK381(X0),X0)
| ( X0 = np__0 ) ),
inference(cnf_transformation,[],[f14687]) ).
tcf(c_2400,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( r1_xboole_0(X2,X1)
| ( X1 = np__0 )
| ~ r2_hidden(X5,X0)
| ~ r2_hidden(X4,X5)
| ~ r2_hidden(X3,X4)
| ~ r2_hidden(X2,X3)
| ~ r2_hidden(X0,sK381(X1)) ),
inference(cnf_transformation,[],[f14688]) ).
tcf(c_2401,plain,
! [X0: $i] :
( r2_hidden(sK382(X0),X0)
| ( X0 = np__0 ) ),
inference(cnf_transformation,[],[f14689]) ).
tcf(c_2402,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( r1_xboole_0(X2,X1)
| ( X1 = np__0 )
| ~ r2_hidden(X4,X0)
| ~ r2_hidden(X3,X4)
| ~ r2_hidden(X2,X3)
| ~ r2_hidden(X0,sK382(X1)) ),
inference(cnf_transformation,[],[f14690]) ).
tcf(c_2403,plain,
! [X0: $i] :
( r2_hidden(sK383(X0),X0)
| ( X0 = np__0 ) ),
inference(cnf_transformation,[],[f14691]) ).
tcf(c_2404,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_xboole_0(X2,X1)
| ( X1 = np__0 )
| ~ r2_hidden(X3,X0)
| ~ r2_hidden(X2,X3)
| ~ r2_hidden(X0,sK383(X1)) ),
inference(cnf_transformation,[],[f14692]) ).
tcf(c_2405,plain,
! [X0: $i] :
( r2_hidden(sK384(X0),X0)
| ( X0 = np__0 ) ),
inference(cnf_transformation,[],[f14693]) ).
tcf(c_2406,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_xboole_0(X2,X1)
| ( X1 = np__0 )
| ~ r2_hidden(X2,X0)
| ~ r2_hidden(X0,sK384(X1)) ),
inference(cnf_transformation,[],[f14694]) ).
tcf(c_2407,plain,
! [X0: $i] :
( r2_hidden(sK385(X0),X0)
| ( X0 = np__0 ) ),
inference(cnf_transformation,[],[f14695]) ).
tcf(c_2408,plain,
! [X0: $i,X1: $i] :
( r1_xboole_0(X0,X1)
| ( X1 = np__0 )
| ~ r2_hidden(X0,sK385(X1)) ),
inference(cnf_transformation,[],[f14696]) ).
tcf(c_2409,plain,
! [X0: $i] :
( r2_hidden(sK386(X0),X0)
| ( X0 = np__0 ) ),
inference(cnf_transformation,[],[f14697]) ).
tcf(c_2410,plain,
! [X0: $i] :
( r1_xboole_0(sK386(X0),X0)
| ( X0 = np__0 ) ),
inference(cnf_transformation,[],[f14698]) ).
tcf(c_2411,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_xboole_0(k9_relat_1(X2,X0),k9_relat_1(X2,X1))
| ~ v2_funct_1(X2)
| ~ v1_relat_1(X2)
| ~ v1_funct_1(X2)
| ~ r1_xboole_0(X0,X1) ),
inference(cnf_transformation,[],[f12630]) ).
tcf(c_2412,plain,
! [X0: $i,X1: $i] :
( ( k10_relat_1(X0,X1) = np__0 )
| ~ v1_relat_1(X0)
| ~ r1_xboole_0(k2_relat_1(X0),X1) ),
inference(cnf_transformation,[],[f14699]) ).
tcf(c_2413,plain,
! [X0: $i,X1: $i] :
( r1_xboole_0(k2_relat_1(X0),X1)
| ~ v1_relat_1(X0)
| ( k10_relat_1(X0,X1) != np__0 ) ),
inference(cnf_transformation,[],[f14700]) ).
tcf(c_2414,plain,
! [X0: $i,X1: $i] :
( ( k9_relat_1(X0,X1) = np__0 )
| ~ v1_relat_1(X0)
| ~ r1_xboole_0(k1_relat_1(X0),X1) ),
inference(cnf_transformation,[],[f14701]) ).
tcf(c_2415,plain,
! [X0: $i,X1: $i] :
( r1_xboole_0(k1_relat_1(X0),X1)
| ~ v1_relat_1(X0)
| ( k9_relat_1(X0,X1) != np__0 ) ),
inference(cnf_transformation,[],[f14702]) ).
tcf(c_2416,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(X0,k3_tarski(X1))
| ~ r1_xboole_0(sK387(X2,X0),X0)
| ~ r1_tarski(X0,k3_tarski(k3_tarski(k2_tarski(X1,X2)))) ),
inference(cnf_transformation,[],[f14703]) ).
tcf(c_2417,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(X0,k3_tarski(X1))
| r2_hidden(sK387(X2,X0),X2)
| ~ r1_tarski(X0,k3_tarski(k3_tarski(k2_tarski(X1,X2)))) ),
inference(cnf_transformation,[],[f14704]) ).
tcf(c_2418,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_xboole_0(k2_zfmisc_1(k2_enumset1(X0,X0,X0,X0),X2),k2_zfmisc_1(k2_enumset1(X1,X1,X1,X1),X3))
| ( X0 = X1 ) ),
inference(cnf_transformation,[],[f14705]) ).
tcf(c_2419,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_xboole_0(k2_zfmisc_1(X2,k2_enumset1(X0,X0,X0,X0)),k2_zfmisc_1(X3,k2_enumset1(X1,X1,X1,X1)))
| ( X0 = X1 ) ),
inference(cnf_transformation,[],[f14706]) ).
tcf(c_2420,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_xboole_0(k2_zfmisc_1(X0,X2),k2_zfmisc_1(X1,X3))
| ~ r1_xboole_0(X0,X1) ),
inference(cnf_transformation,[],[f12640]) ).
tcf(c_2421,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_xboole_0(k2_zfmisc_1(X2,X0),k2_zfmisc_1(X3,X1))
| ~ r1_xboole_0(X0,X1) ),
inference(cnf_transformation,[],[f12639]) ).
tcf(c_2422,plain,
! [X0: $i,X1: $i] :
( ( k4_xboole_0(k3_tarski(X0),k4_xboole_0(k3_tarski(X0),k3_tarski(X1))) = k3_tarski(k4_xboole_0(X0,k4_xboole_0(X0,X1))) )
| ( sK388(X0,X1) != sK389(X0,X1) ) ),
inference(cnf_transformation,[],[f14707]) ).
tcf(c_2423,plain,
! [X0: $i,X1: $i] :
( ( k4_xboole_0(k3_tarski(X0),k4_xboole_0(k3_tarski(X0),k3_tarski(X1))) = k3_tarski(k4_xboole_0(X0,k4_xboole_0(X0,X1))) )
| ~ r1_xboole_0(sK388(X0,X1),sK389(X0,X1)) ),
inference(cnf_transformation,[],[f14708]) ).
tcf(c_2424,plain,
! [X0: $i,X1: $i] :
( r2_hidden(sK388(X0,X1),k3_tarski(k2_tarski(X0,X1)))
| ( k4_xboole_0(k3_tarski(X0),k4_xboole_0(k3_tarski(X0),k3_tarski(X1))) = k3_tarski(k4_xboole_0(X0,k4_xboole_0(X0,X1))) ) ),
inference(cnf_transformation,[],[f14709]) ).
tcf(c_2425,plain,
! [X0: $i,X1: $i] :
( r2_hidden(sK389(X0,X1),k3_tarski(k2_tarski(X0,X1)))
| ( k4_xboole_0(k3_tarski(X0),k4_xboole_0(k3_tarski(X0),k3_tarski(X1))) = k3_tarski(k4_xboole_0(X0,k4_xboole_0(X0,X1))) ) ),
inference(cnf_transformation,[],[f14710]) ).
tcf(c_2426,plain,
! [X0: $i,X1: $i] :
( r1_xboole_0(k3_tarski(X0),X1)
| ~ r1_xboole_0(sK390(X0,X1),X1) ),
inference(cnf_transformation,[],[f12646]) ).
tcf(c_2427,plain,
! [X0: $i,X1: $i] :
( r1_xboole_0(k3_tarski(X0),X1)
| r2_hidden(sK390(X0,X1),X0) ),
inference(cnf_transformation,[],[f12645]) ).
tcf(c_2429,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(X1,X2)
| r2_hidden(X0,X2)
| r1_xboole_0(k2_tarski(X0,X1),X2) ),
inference(cnf_transformation,[],[f12648]) ).
tcf(c_2430,plain,
! [X0: $i,X1: $i] :
( r2_hidden(X0,X1)
| r1_xboole_0(k2_enumset1(X0,X0,X0,X0),X1) ),
inference(cnf_transformation,[],[f14712]) ).
tcf(c_2431,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r2_hidden(X0,X2)
| ~ r1_xboole_0(k2_tarski(X0,X1),X2) ),
inference(cnf_transformation,[],[f12650]) ).
tcf(c_2433,plain,
! [X0: $i,X1: $i] :
( r1_xboole_0(k2_enumset1(X0,X0,X0,X0),k2_enumset1(X1,X1,X1,X1))
| ( X0 = X1 ) ),
inference(cnf_transformation,[],[f14714]) ).
tcf(c_2434,plain,
! [X0: $i] : ~ r1_xboole_0(k2_enumset1(X0,X0,X0,X0),k2_enumset1(X0,X0,X0,X0)),
inference(cnf_transformation,[],[f15224]) ).
tcf(c_2435,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_xboole_0(k3_tarski(k2_tarski(k3_tarski(k2_tarski(X0,X2)),X3)),X1)
| ~ r1_xboole_0(X3,X1)
| ~ r1_xboole_0(X2,X1)
| ~ r1_xboole_0(X0,X1) ),
inference(cnf_transformation,[],[f14716]) ).
tcf(c_2436,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(X0,X1)
| ~ r1_tarski(X0,k4_xboole_0(X1,X2)) ),
inference(cnf_transformation,[],[f12656]) ).
tcf(c_2437,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_xboole_0(X0,X2)
| ~ r1_tarski(X0,k4_xboole_0(X1,X2)) ),
inference(cnf_transformation,[],[f12655]) ).
tcf(c_2438,plain,
! [X0: $i,X1: $i] : r1_xboole_0(k4_xboole_0(X0,k4_xboole_0(X0,k4_xboole_0(X0,X1))),X1),
inference(cnf_transformation,[],[f14717]) ).
tcf(c_2441,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k3_tarski(k2_tarski(k4_xboole_0(X2,X0),X1)) = k4_xboole_0(k3_tarski(k2_tarski(X2,X1)),X0) )
| ~ r1_xboole_0(X0,X1) ),
inference(cnf_transformation,[],[f14720]) ).
tcf(c_2442,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(X0,k4_xboole_0(X1,X2))
| ~ r1_xboole_0(X0,X2)
| ~ r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f12661]) ).
tcf(c_2443,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_xboole_0(X0,k4_xboole_0(X2,X1))
| ~ r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f12662]) ).
tcf(c_2444,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_xboole_0(X0,X1)
| ~ r1_xboole_0(X0,X2)
| ~ r1_xboole_0(X0,k4_xboole_0(X1,X2)) ),
inference(cnf_transformation,[],[f12663]) ).
tcf(c_2445,plain,
! [X0: $i,X1: $i] :
( r1_xboole_0(X0,X1)
| ( k4_xboole_0(X0,X1) != X0 ) ),
inference(cnf_transformation,[],[f12665]) ).
tcf(c_2446,plain,
! [X0: $i,X1: $i] :
( ( k4_xboole_0(X0,X1) = X0 )
| ~ r1_xboole_0(X0,X1) ),
inference(cnf_transformation,[],[f12664]) ).
tcf(c_2447,plain,
! [X0: $i,X1: $i] : r1_xboole_0(k4_xboole_0(X0,X1),k4_xboole_0(X1,X0)),
inference(cnf_transformation,[],[f12666]) ).
tcf(c_2448,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_xboole_0(X1,k4_xboole_0(X0,X2))
| ~ r1_xboole_0(X0,k4_xboole_0(X1,X2)) ),
inference(cnf_transformation,[],[f12667]) ).
tcf(c_2449,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_xboole_0(X0,k4_xboole_0(X1,X2))
| ~ r1_xboole_0(X0,X1) ),
inference(cnf_transformation,[],[f12668]) ).
tcf(c_2450,plain,
! [X0: $i,X1: $i] : r1_xboole_0(k4_xboole_0(X0,X1),X1),
inference(cnf_transformation,[],[f12669]) ).
tcf(c_2451,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k4_xboole_0(X0,k4_xboole_0(X0,k3_tarski(k2_tarski(X1,X2)))) = k4_xboole_0(X0,k4_xboole_0(X0,X2)) )
| ~ r1_xboole_0(X0,X1) ),
inference(cnf_transformation,[],[f14721]) ).
tcf(c_2452,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_xboole_0(X0,X1)
| ~ r1_tarski(X0,X2)
| ~ r1_xboole_0(X0,k4_xboole_0(X1,k4_xboole_0(X1,X2))) ),
inference(cnf_transformation,[],[f14722]) ).
tcf(c_2453,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_xboole_0(k4_xboole_0(X2,k4_xboole_0(X2,X0)),k4_xboole_0(X2,k4_xboole_0(X2,X1)))
| ~ r1_xboole_0(X0,X1) ),
inference(cnf_transformation,[],[f14723]) ).
tcf(c_2454,plain,
! [X0: $i,X1: $i] :
( r1_xboole_0(X0,X1)
| ~ r1_xboole_0(k4_xboole_0(X0,k4_xboole_0(X0,X1)),X1) ),
inference(cnf_transformation,[],[f14724]) ).
tcf(c_2456,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(X0,X1)
| ~ r1_xboole_0(X0,X2)
| ~ r1_tarski(X0,k3_tarski(k2_tarski(X1,X2))) ),
inference(cnf_transformation,[],[f14726]) ).
tcf(c_2457,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X1 = X2 )
| ~ r1_xboole_0(X3,X1)
| ~ r1_xboole_0(X2,X0)
| ( k3_tarski(k2_tarski(X0,X1)) != k3_tarski(k2_tarski(X2,X3)) ) ),
inference(cnf_transformation,[],[f14727]) ).
tcf(c_2458,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X2 )
| ~ r1_xboole_0(X2,X1)
| ~ r1_xboole_0(X0,X1)
| ( k3_tarski(k2_tarski(X0,X1)) != k3_tarski(k2_tarski(X2,X1)) ) ),
inference(cnf_transformation,[],[f14728]) ).
tcf(c_2459,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_xboole_0(X0,k3_tarski(k2_tarski(X1,X2)))
| ~ r1_xboole_0(X0,X2)
| ~ r1_xboole_0(X0,X1) ),
inference(cnf_transformation,[],[f14729]) ).
tcf(c_2460,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_xboole_0(X0,X1)
| ~ r1_xboole_0(X0,k3_tarski(k2_tarski(X1,X2))) ),
inference(cnf_transformation,[],[f14730]) ).
tcf(c_2461,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_xboole_0(X0,X2)
| ~ r1_xboole_0(X0,k3_tarski(k2_tarski(X1,X2))) ),
inference(cnf_transformation,[],[f14731]) ).
tcf(c_2462,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(X0)
| ~ r1_xboole_0(X0,X1)
| ~ r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f12681]) ).
tcf(c_2463,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_xboole_0(X0)
| ~ r1_xboole_0(X1,X2)
| ~ r1_tarski(X0,X2)
| ~ r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f12682]) ).
tcf(c_2464,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = np__0 )
| ~ r1_xboole_0(X1,X2)
| ~ r1_tarski(X0,X2)
| ~ r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f14732]) ).
tcf(c_2466,plain,
! [X0: $i] :
( ( X0 = np__0 )
| ~ r1_xboole_0(X0,X0) ),
inference(cnf_transformation,[],[f14734]) ).
tcf(c_2467,plain,
! [X0: $i] : r1_xboole_0(X0,np__0),
inference(cnf_transformation,[],[f14735]) ).
tcf(c_2468,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_xboole_0(X0,X2)
| ~ r1_xboole_0(X1,X3)
| ~ r1_tarski(X2,X3)
| ~ r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f12687]) ).
tcf(c_2469,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_xboole_0(X0,X2)
| ~ r1_xboole_0(X1,X2)
| ~ r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f12688]) ).
tcf(c_2470,plain,
! [X0: $i,X1: $i] :
( r1_xboole_0(X1,X0)
| ~ r1_xboole_0(X0,X1) ),
inference(cnf_transformation,[],[f12689]) ).
tcf(c_2473,plain,
! [X0: $i,X1: $i] :
( r1_xboole_0(X0,X1)
| r2_hidden(sK391(X0,X1),k4_xboole_0(X0,k4_xboole_0(X0,X1))) ),
inference(cnf_transformation,[],[f14740]) ).
tcf(c_2474,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r1_xboole_0(X1,X2)
| ~ r2_hidden(X0,k4_xboole_0(X1,k4_xboole_0(X1,X2))) ),
inference(cnf_transformation,[],[f14741]) ).
tcf(c_2475,plain,
! [X0: $i,X1: $i] :
( r1_xboole_0(X0,X1)
| r2_hidden(sK392(X0,X1),X0) ),
inference(cnf_transformation,[],[f12698]) ).
tcf(c_2476,plain,
! [X0: $i,X1: $i] :
( r1_xboole_0(X0,X1)
| r2_hidden(sK392(X0,X1),X1) ),
inference(cnf_transformation,[],[f12697]) ).
tcf(c_2477,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r1_xboole_0(X1,X2)
| ~ r2_hidden(X0,X2)
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f12696]) ).
tcf(c_2478,plain,
! [X0: $i,X1: $i] :
( r1_xboole_0(X0,X1)
| ( k4_xboole_0(X0,k4_xboole_0(X0,X1)) != np__0 ) ),
inference(cnf_transformation,[],[f14742]) ).
tcf(c_2479,plain,
! [X0: $i,X1: $i] :
( ( k4_xboole_0(X0,k4_xboole_0(X0,X1)) = np__0 )
| ~ r1_xboole_0(X0,X1) ),
inference(cnf_transformation,[],[f14743]) ).
tcf(c_2480,plain,
! [X0: $i,X1: $i] :
( m1_subset_1(k2_tops_1(X1,X0),k1_zfmisc_1(u1_struct_0(X1)))
| ~ l1_pre_topc(X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(cnf_transformation,[],[f12701]) ).
tcf(c_2481,plain,
! [X0: $i,X1: $i] :
( v4_pre_topc(X1,X0)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ( k6_subset_1(u1_struct_0(X0),X1,k1_tops_1(X0,X1)) != k2_tops_1(X0,X1) ) ),
inference(cnf_transformation,[],[f12703]) ).
tcf(c_2482,plain,
! [X0: $i,X1: $i] :
( ( k6_subset_1(u1_struct_0(X1),X0,k1_tops_1(X1,X0)) = k2_tops_1(X1,X0) )
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1)
| ~ v4_pre_topc(X0,X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(cnf_transformation,[],[f12702]) ).
tcf(c_2483,plain,
! [X0: $i,X1: $i] :
( v3_pre_topc(X1,X0)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ( k6_subset_1(u1_struct_0(X0),k6_pre_topc(X0,X1),X1) != k2_tops_1(X0,X1) ) ),
inference(cnf_transformation,[],[f12705]) ).
tcf(c_2484,plain,
! [X0: $i,X1: $i] :
( ( k6_subset_1(u1_struct_0(X1),k6_pre_topc(X1,X0),X0) = k2_tops_1(X1,X0) )
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1)
| ~ v3_pre_topc(X0,X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(cnf_transformation,[],[f12704]) ).
tcf(c_2485,plain,
! [X0: $i,X1: $i] :
( ( k2_tops_1(X1,k2_tops_1(X1,k2_tops_1(X1,X0))) = k2_tops_1(X1,k2_tops_1(X1,X0)) )
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(cnf_transformation,[],[f12706]) ).
tcf(c_2486,plain,
! [X0: $i,X1: $i] :
( ( k6_subset_1(u1_struct_0(X1),X0,k2_tops_1(X1,X0)) = k1_tops_1(X1,X0) )
| ~ l1_pre_topc(X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(cnf_transformation,[],[f12707]) ).
tcf(c_2487,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k2_tops_1(X1,X0),X0)
| ~ l1_pre_topc(X1)
| ~ v4_pre_topc(X0,X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(cnf_transformation,[],[f12708]) ).
tcf(c_2488,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k2_tops_1(X1,k2_tops_1(X1,X0)),k2_tops_1(X1,X0))
| ~ l1_pre_topc(X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(cnf_transformation,[],[f12709]) ).
tcf(c_2489,plain,
! [X0: $i,X1: $i] :
( ( k2_tops_1(X1,k3_subset_1(u1_struct_0(X1),X0)) = k2_tops_1(X1,X0) )
| ~ l1_pre_topc(X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(cnf_transformation,[],[f12710]) ).
tcf(c_2490,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X1)
| r2_hidden(X2,k2_tops_1(X1,X0))
| r1_xboole_0(X0,sK393(X1,X0,X2))
| r1_xboole_0(k3_subset_1(u1_struct_0(X1),X0),sK393(X1,X0,X2))
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(cnf_transformation,[],[f12716]) ).
tcf(c_2491,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X1)
| r2_hidden(X2,k2_tops_1(X1,X0))
| v3_pre_topc(sK393(X1,X0,X2),X1)
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(cnf_transformation,[],[f12715]) ).
tcf(c_2492,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X1)
| r2_hidden(X2,k2_tops_1(X1,X0))
| r2_hidden(X2,sK393(X1,X0,X2))
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(cnf_transformation,[],[f12714]) ).
tcf(c_2493,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X1)
| r2_hidden(X2,k2_tops_1(X1,X0))
| m1_subset_1(sK393(X1,X0,X2),k1_zfmisc_1(u1_struct_0(X1)))
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(cnf_transformation,[],[f12713]) ).
tcf(c_2494,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v3_struct_0(X1)
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1)
| ~ r1_xboole_0(X2,X3)
| ~ v3_pre_topc(X3,X1)
| ~ r2_hidden(X0,X3)
| ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1)))
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ r2_hidden(X0,k2_tops_1(X1,X2)) ),
inference(cnf_transformation,[],[f12712]) ).
tcf(c_2495,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v3_struct_0(X0)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ v3_pre_topc(X2,X0)
| ~ r2_hidden(X3,X2)
| ~ m1_subset_1(X3,u1_struct_0(X0))
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ r2_hidden(X3,k2_tops_1(X0,X1))
| ~ r1_xboole_0(k3_subset_1(u1_struct_0(X0),X1),X2) ),
inference(cnf_transformation,[],[f12711]) ).
tcf(c_2496,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_xboole_0(X1)
| m1_subset_1(k3_tarski(X2),k1_zfmisc_1(X1))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ m1_subset_1(X0,k1_zfmisc_1(k1_zfmisc_1(X1))) ),
inference(cnf_transformation,[],[f12717]) ).
tcf(c_2497,plain,
! [X0: $i] :
( v1_finset_1(X0)
| ~ v1_finset_1(k3_tarski(X0)) ),
inference(cnf_transformation,[],[f12721]) ).
tcf(c_2498,plain,
! [X0: $i,X1: $i] :
( v1_finset_1(X0)
| ~ v1_finset_1(k3_tarski(X1))
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f12720]) ).
tcf(c_2499,plain,
! [X0: $i] :
( v1_finset_1(k3_tarski(X0))
| ~ v1_finset_1(X0)
| ~ v1_finset_1(sK394(X0)) ),
inference(cnf_transformation,[],[f12719]) ).
tcf(c_2500,plain,
! [X0: $i] :
( v1_finset_1(k3_tarski(X0))
| r2_hidden(sK394(X0),X0)
| ~ v1_finset_1(X0) ),
inference(cnf_transformation,[],[f12718]) ).
tcf(c_2501,plain,
! [X0: $i] :
( ( k3_tarski(k3_tarski(k2_tarski(X0,k2_enumset1(X0,X0,X0,X0)))) = X0 )
| ~ v3_ordinal1(X0) ),
inference(cnf_transformation,[],[f14744]) ).
tcf(c_2502,plain,
! [X0: $i] :
( v3_ordinal1(k3_tarski(X0))
| ~ v3_ordinal1(sK395(X0)) ),
inference(cnf_transformation,[],[f12724]) ).
tcf(c_2503,plain,
! [X0: $i] :
( v3_ordinal1(k3_tarski(X0))
| r2_hidden(sK395(X0),X0) ),
inference(cnf_transformation,[],[f12723]) ).
tcf(c_2504,plain,
! [X0: $i] :
( v3_ordinal1(k3_tarski(X0))
| ~ v3_ordinal1(X0) ),
inference(cnf_transformation,[],[f12725]) ).
tcf(c_2505,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(X2,X1)
| ~ r2_hidden(X2,X0)
| ~ r1_tarski(k3_tarski(X0),X1) ),
inference(cnf_transformation,[],[f12726]) ).
tcf(c_2506,plain,
! [X0: $i] : r1_tarski(X0,k1_zfmisc_1(k3_tarski(X0))),
inference(cnf_transformation,[],[f12727]) ).
tcf(c_2507,plain,
! [X0: $i] : k3_tarski(k1_zfmisc_1(X0)) = X0,
inference(cnf_transformation,[],[f12728]) ).
tcf(c_2508,plain,
! [X0: $i,X1: $i] : r1_tarski(k3_tarski(k4_xboole_0(X0,k4_xboole_0(X0,X1))),k4_xboole_0(k3_tarski(X0),k4_xboole_0(k3_tarski(X0),k3_tarski(X1)))),
inference(cnf_transformation,[],[f14745]) ).
tcf(c_2509,plain,
! [X0: $i,X1: $i] : k3_tarski(k2_tarski(k3_tarski(X0),k3_tarski(X1))) = k3_tarski(k3_tarski(k2_tarski(X0,X1))),
inference(cnf_transformation,[],[f14746]) ).
tcf(c_2510,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k3_tarski(X0),k3_tarski(X1))
| ~ r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f12731]) ).
tcf(c_2511,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k3_tarski(X0),X1)
| ~ r1_tarski(sK396(X0,X1),X1) ),
inference(cnf_transformation,[],[f12733]) ).
tcf(c_2512,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k3_tarski(X0),X1)
| r2_hidden(sK396(X0,X1),X0) ),
inference(cnf_transformation,[],[f12732]) ).
tcf(c_2513,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,k3_tarski(X1))
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f12735]) ).
tcf(c_2516,plain,
k3_tarski(np__0) = np__0,
inference(cnf_transformation,[],[f14749]) ).
tcf(c_2517,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k3_tarski(X0) = X1 )
| ~ r2_hidden(X2,X0)
| ~ r2_hidden(sK397(X0,X1),X2)
| ~ r2_hidden(sK397(X0,X1),X1) ),
inference(cnf_transformation,[],[f12744]) ).
tcf(c_2518,plain,
! [X0: $i,X1: $i] :
( r2_hidden(sK397(X0,X1),X1)
| r2_hidden(sK397(X0,X1),sK398(X0,X1))
| ( k3_tarski(X0) = X1 ) ),
inference(cnf_transformation,[],[f12743]) ).
tcf(c_2519,plain,
! [X0: $i,X1: $i] :
( r2_hidden(sK398(X0,X1),X0)
| r2_hidden(sK397(X0,X1),X1)
| ( k3_tarski(X0) = X1 ) ),
inference(cnf_transformation,[],[f12742]) ).
tcf(c_2520,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(X0,k3_tarski(X2))
| ~ r2_hidden(X1,X2)
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f15226]) ).
tcf(c_2521,plain,
! [X0: $i,X1: $i] :
( r2_hidden(X0,sK399(X1,X0))
| ~ r2_hidden(X0,k3_tarski(X1)) ),
inference(cnf_transformation,[],[f15227]) ).
tcf(c_2522,plain,
! [X0: $i,X1: $i] :
( r2_hidden(sK399(X1,X0),X1)
| ~ r2_hidden(X0,k3_tarski(X1)) ),
inference(cnf_transformation,[],[f15228]) ).
tcf(c_2526,plain,
! [X0: $i,X1: $i] :
( v4_membered(k1_setfam_1(X1))
| ~ v4_membered(X0)
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f12748]) ).
tcf(c_2527,plain,
! [X0: $i,X1: $i] :
( v3_membered(k1_setfam_1(X1))
| ~ v3_membered(X0)
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f12749]) ).
tcf(c_2528,plain,
! [X0: $i,X1: $i] :
( v2_membered(k1_setfam_1(X1))
| ~ v2_membered(X0)
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f12750]) ).
tcf(c_2529,plain,
! [X0: $i,X1: $i] :
( v1_membered(k1_setfam_1(X1))
| ~ v1_membered(X0)
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f12751]) ).
tcf(c_2530,plain,
! [X0: $i] :
( v3_ordinal1(k1_setfam_1(X0))
| ~ v3_ordinal1(sK400(X0)) ),
inference(cnf_transformation,[],[f12753]) ).
tcf(c_2531,plain,
! [X0: $i] :
( v3_ordinal1(k1_setfam_1(X0))
| r2_hidden(sK400(X0),X0) ),
inference(cnf_transformation,[],[f12752]) ).
tcf(c_2532,plain,
! [X0: $i,X1: $i] : k4_xboole_0(X0,k4_xboole_0(X0,X1)) = k1_setfam_1(k2_tarski(X0,X1)),
inference(cnf_transformation,[],[f14750]) ).
tcf(c_2533,plain,
! [X0: $i] : k1_setfam_1(k2_enumset1(X0,X0,X0,X0)) = X0,
inference(cnf_transformation,[],[f14751]) ).
tcf(c_2534,plain,
! [X0: $i,X1: $i] :
( ( X1 = np__0 )
| ( X0 = np__0 )
| ( k4_xboole_0(k1_setfam_1(X0),k4_xboole_0(k1_setfam_1(X0),k1_setfam_1(X1))) = k1_setfam_1(k3_tarski(k2_tarski(X0,X1))) ) ),
inference(cnf_transformation,[],[f14752]) ).
tcf(c_2535,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_xboole_0(k1_setfam_1(X1),X2)
| ~ r1_xboole_0(X0,X2)
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f12757]) ).
tcf(c_2536,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k1_setfam_1(X2),X1)
| ~ r2_hidden(X0,X2)
| ~ r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f12758]) ).
tcf(c_2537,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k1_setfam_1(X1),k1_setfam_1(X0))
| ( X0 = np__0 )
| ~ r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f14753]) ).
tcf(c_2538,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,k1_setfam_1(X1))
| ( X1 = np__0 )
| ~ r1_tarski(X0,sK401(X1,X0)) ),
inference(cnf_transformation,[],[f14754]) ).
tcf(c_2539,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X1,k1_setfam_1(X0))
| r2_hidden(sK401(X0,X1),X0)
| ( X0 = np__0 ) ),
inference(cnf_transformation,[],[f14755]) ).
tcf(c_2540,plain,
! [X0: $i] :
( ( k1_setfam_1(X0) = np__0 )
| ~ r2_hidden(np__0,X0) ),
inference(cnf_transformation,[],[f14756]) ).
tcf(c_2541,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k1_setfam_1(X1),X0)
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f12763]) ).
tcf(c_2542,plain,
! [X0: $i] : r1_tarski(k1_setfam_1(X0),k3_tarski(X0)),
inference(cnf_transformation,[],[f12764]) ).
tcf(c_2544,plain,
! [X0: $i,X1: $i] :
( ( X0 = np__0 )
| ( k1_setfam_1(X0) = X1 )
| ~ r2_hidden(sK402(X0,X1),X1)
| ~ r2_hidden(sK402(X0,X1),sK403(X0,X1)) ),
inference(cnf_transformation,[],[f14758]) ).
tcf(c_2545,plain,
! [X0: $i,X1: $i] :
( r2_hidden(sK403(X0,X1),X0)
| ( X0 = np__0 )
| ( k1_setfam_1(X0) = X1 )
| ~ r2_hidden(sK402(X0,X1),X1) ),
inference(cnf_transformation,[],[f14759]) ).
tcf(c_2546,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(sK402(X1,X2),X2)
| r2_hidden(sK402(X1,X2),X0)
| ( X1 = np__0 )
| ( k1_setfam_1(X1) = X2 )
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f14760]) ).
tcf(c_2547,plain,
! [X0: $i,X1: $i] :
( r2_hidden(X0,k1_setfam_1(X1))
| ( X1 = np__0 )
| ~ r2_hidden(X0,sK404(X1,X0)) ),
inference(cnf_transformation,[],[f15229]) ).
tcf(c_2548,plain,
! [X0: $i,X1: $i] :
( r2_hidden(X1,k1_setfam_1(X0))
| r2_hidden(sK404(X0,X1),X0)
| ( X0 = np__0 ) ),
inference(cnf_transformation,[],[f15230]) ).
tcf(c_2549,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(X0,X2)
| ( X1 = np__0 )
| ~ r2_hidden(X2,X1)
| ~ r2_hidden(X0,k1_setfam_1(X1)) ),
inference(cnf_transformation,[],[f15231]) ).
tcf(c_2551,plain,
k1_setfam_1(np__0) = np__0,
inference(cnf_transformation,[],[f15235]) ).
tcf(c_2552,plain,
! [X0: $i] :
( m1_subset_1(k2_finseq_1(X0),k1_zfmisc_1(k5_numbers))
| ~ v4_ordinal2(X0) ),
inference(cnf_transformation,[],[f12774]) ).
tcf(c_2553,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_xreal_0(X0,np__0)
| r2_hidden(X0,k2_finseq_1(X2))
| ~ v4_ordinal2(X1)
| ~ v4_ordinal2(X0)
| ~ m2_subset_1(X2,k1_numbers,k5_numbers)
| ~ r2_hidden(k2_xcmplx_0(X0,X1),k2_finseq_1(k2_xcmplx_0(X2,X1))) ),
inference(cnf_transformation,[],[f12776]) ).
tcf(c_2554,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_xreal_0(X0,np__0)
| r2_hidden(X0,k2_finseq_1(k2_xcmplx_0(X2,X1)))
| ~ v4_ordinal2(X1)
| ~ v4_ordinal2(X0)
| ~ m2_subset_1(X2,k1_numbers,k5_numbers)
| ~ r2_hidden(k2_xcmplx_0(X0,X1),k2_finseq_1(k2_xcmplx_0(X2,X1))) ),
inference(cnf_transformation,[],[f12775]) ).
tcf(c_2555,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(k2_xcmplx_0(X0,X2),k2_finseq_1(k2_xcmplx_0(X1,X2)))
| ~ v4_ordinal2(X2)
| ~ v4_ordinal2(X0)
| ~ m2_subset_1(X1,k1_numbers,k5_numbers)
| ~ r2_hidden(X0,k2_finseq_1(X1)) ),
inference(cnf_transformation,[],[f12777]) ).
tcf(c_2556,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(X1)
| m2_finseq_1(sK405(X0,X1),X1)
| ~ v4_ordinal2(X0) ),
inference(cnf_transformation,[],[f12779]) ).
tcf(c_2557,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(X1)
| ( k3_finseq_1(sK405(X0,X1)) = X0 )
| ~ v4_ordinal2(X0) ),
inference(cnf_transformation,[],[f12778]) ).
tcf(c_2558,plain,
! [X0: $i,X1: $i,X2: $i] :
( m2_finseq_1(k7_relat_1(X0,k2_finseq_1(X2)),X1)
| ~ v4_ordinal2(X2)
| ~ m2_finseq_1(X0,X1) ),
inference(cnf_transformation,[],[f12780]) ).
tcf(c_2559,plain,
! [X0: $i,X1: $i] :
( v1_relat_1(k7_relat_1(X0,k2_finseq_1(X1)))
| ~ v1_finseq_1(X0)
| ~ v4_ordinal2(X1)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0) ),
inference(cnf_transformation,[],[f12783]) ).
tcf(c_2560,plain,
! [X0: $i,X1: $i] :
( v1_funct_1(k7_relat_1(X0,k2_finseq_1(X1)))
| ~ v1_finseq_1(X0)
| ~ v4_ordinal2(X1)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0) ),
inference(cnf_transformation,[],[f12782]) ).
tcf(c_2561,plain,
! [X0: $i,X1: $i] :
( v1_finseq_1(k7_relat_1(X0,k2_finseq_1(X1)))
| ~ v1_finseq_1(X0)
| ~ v4_ordinal2(X1)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0) ),
inference(cnf_transformation,[],[f12781]) ).
tcf(c_2562,plain,
! [X0: $i] :
( ( k4_xboole_0(k2_finseq_1(k2_xcmplx_0(X0,np__1)),k2_enumset1(k2_xcmplx_0(X0,np__1),k2_xcmplx_0(X0,np__1),k2_xcmplx_0(X0,np__1),k2_xcmplx_0(X0,np__1))) = k2_finseq_1(X0) )
| ~ v4_ordinal2(X0) ),
inference(cnf_transformation,[],[f14766]) ).
tcf(c_2563,plain,
! [X0: $i] :
( ( k3_tarski(k2_tarski(k2_finseq_1(X0),k2_enumset1(k2_xcmplx_0(X0,np__1),k2_xcmplx_0(X0,np__1),k2_xcmplx_0(X0,np__1),k2_xcmplx_0(X0,np__1)))) = k2_finseq_1(k2_xcmplx_0(X0,np__1)) )
| ~ v4_ordinal2(X0) ),
inference(cnf_transformation,[],[f14767]) ).
tcf(c_2564,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ v4_ordinal2(X1)
| ~ v4_ordinal2(X0)
| ( k2_finseq_1(X0) != k2_finseq_1(X1) ) ),
inference(cnf_transformation,[],[f12786]) ).
tcf(c_2565,plain,
! [X0: $i,X1: $i] :
( r1_xreal_0(X0,X1)
| ~ v4_ordinal2(X1)
| ~ v4_ordinal2(X0)
| ~ r1_tarski(k2_finseq_1(X0),k2_finseq_1(X1)) ),
inference(cnf_transformation,[],[f12788]) ).
tcf(c_2566,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k2_finseq_1(X0),k2_finseq_1(X1))
| ~ v4_ordinal2(X1)
| ~ v4_ordinal2(X0)
| ~ r1_xreal_0(X0,X1) ),
inference(cnf_transformation,[],[f12787]) ).
tcf(c_2567,plain,
! [X0: $i] :
( r2_hidden(k2_xcmplx_0(X0,np__1),k2_finseq_1(k2_xcmplx_0(X0,np__1)))
| ~ v4_ordinal2(X0) ),
inference(cnf_transformation,[],[f12789]) ).
tcf(c_2568,plain,
! [X0: $i] :
( r2_hidden(X0,k2_finseq_1(X0))
| ( X0 = np__0 )
| ~ v4_ordinal2(X0) ),
inference(cnf_transformation,[],[f12790]) ).
tcf(c_2569,plain,
! [X0: $i,X1: $i] :
( r2_hidden(X0,k2_finseq_1(X1))
| ~ v4_ordinal2(X1)
| ~ v4_ordinal2(X0)
| ~ r1_xreal_0(np__1,X0)
| ~ r1_xreal_0(X0,X1) ),
inference(cnf_transformation,[],[f12793]) ).
tcf(c_2570,plain,
! [X0: $i,X1: $i] :
( r1_xreal_0(np__1,X0)
| ~ v4_ordinal2(X1)
| ~ v4_ordinal2(X0)
| ~ r2_hidden(X0,k2_finseq_1(X1)) ),
inference(cnf_transformation,[],[f12792]) ).
tcf(c_2571,plain,
! [X0: $i,X1: $i] :
( r1_xreal_0(X0,X1)
| ~ v4_ordinal2(X1)
| ~ v4_ordinal2(X0)
| ~ r2_hidden(X0,k2_finseq_1(X1)) ),
inference(cnf_transformation,[],[f12791]) ).
tcf(c_2572,plain,
! [X0: $i] :
( v1_int_1(X0)
| ~ v4_ordinal2(X0) ),
inference(cnf_transformation,[],[f12794]) ).
tcf(c_2573,plain,
! [X0: $i] :
( v1_xreal_0(X0)
| ~ v4_ordinal2(X0) ),
inference(cnf_transformation,[],[f12795]) ).
tcf(c_2574,plain,
m1_subset_1(k5_numbers,k1_zfmisc_1(k1_numbers)),
inference(cnf_transformation,[],[f12796]) ).
tcf(c_2575,plain,
k5_numbers != k1_numbers,
inference(cnf_transformation,[],[f12797]) ).
tcf(c_2576,plain,
r1_tarski(k5_numbers,k1_numbers),
inference(cnf_transformation,[],[f12798]) ).
tcf(c_2581,plain,
! [X0: $i,X1: $i] :
( v1_membered(k5_xboole_0(X0,X1))
| ~ v2_membered(X1)
| ~ v2_membered(X0) ),
inference(cnf_transformation,[],[f12804]) ).
tcf(c_2582,plain,
! [X0: $i,X1: $i] :
( v2_membered(k5_xboole_0(X0,X1))
| ~ v2_membered(X1)
| ~ v2_membered(X0) ),
inference(cnf_transformation,[],[f12803]) ).
tcf(c_2583,plain,
! [X0: $i,X1: $i] :
( v1_membered(k5_xboole_0(X0,X1))
| ~ v1_membered(X1)
| ~ v1_membered(X0) ),
inference(cnf_transformation,[],[f12805]) ).
tcf(c_2584,plain,
! [X0: $i] :
( v4_finsub_1(X0)
| v1_xboole_0(X0)
| ~ r2_hidden(k5_xboole_0(sK406(X0),sK407(X0)),X0)
| ~ r2_hidden(k3_tarski(k2_tarski(sK406(X0),sK407(X0))),X0) ),
inference(cnf_transformation,[],[f14770]) ).
tcf(c_2585,plain,
! [X0: $i] :
( v4_finsub_1(X0)
| v1_xboole_0(X0)
| m1_subset_1(sK407(X0),X0) ),
inference(cnf_transformation,[],[f12807]) ).
tcf(c_2586,plain,
! [X0: $i] :
( v4_finsub_1(X0)
| v1_xboole_0(X0)
| m1_subset_1(sK406(X0),X0) ),
inference(cnf_transformation,[],[f12806]) ).
tcf(c_2587,plain,
! [X0: $i] :
( v4_finsub_1(X0)
| v1_xboole_0(X0)
| ~ r2_hidden(k5_xboole_0(sK408(X0),sK409(X0)),X0)
| ~ r2_hidden(k4_xboole_0(sK408(X0),k4_xboole_0(sK408(X0),sK409(X0))),X0) ),
inference(cnf_transformation,[],[f14771]) ).
tcf(c_2588,plain,
! [X0: $i] :
( v4_finsub_1(X0)
| v1_xboole_0(X0)
| m1_subset_1(sK409(X0),X0) ),
inference(cnf_transformation,[],[f12810]) ).
tcf(c_2589,plain,
! [X0: $i] :
( v4_finsub_1(X0)
| v1_xboole_0(X0)
| m1_subset_1(sK408(X0),X0) ),
inference(cnf_transformation,[],[f12809]) ).
tcf(c_2590,plain,
! [X0: $i] :
( v4_finsub_1(X0)
| v1_xboole_0(X0)
| ~ r2_hidden(k4_xboole_0(sK410(X0),sK411(X0)),X0)
| ~ r2_hidden(k5_xboole_0(sK410(X0),sK411(X0)),X0) ),
inference(cnf_transformation,[],[f12814]) ).
tcf(c_2591,plain,
! [X0: $i] :
( v4_finsub_1(X0)
| v1_xboole_0(X0)
| m1_subset_1(sK411(X0),X0) ),
inference(cnf_transformation,[],[f12813]) ).
tcf(c_2592,plain,
! [X0: $i] :
( v4_finsub_1(X0)
| v1_xboole_0(X0)
| m1_subset_1(sK410(X0),X0) ),
inference(cnf_transformation,[],[f12812]) ).
tcf(c_2593,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_xboole_0(X1)
| m1_subset_1(k5_xboole_0(X0,X2),X1)
| ~ v4_finsub_1(X1)
| ~ m1_subset_1(X2,X1)
| ~ m1_subset_1(X0,X1) ),
inference(cnf_transformation,[],[f12815]) ).
tcf(c_2595,plain,
! [X0: $i,X1: $i] :
( v1_finset_1(k5_xboole_0(X0,X1))
| ~ v1_finset_1(X1)
| ~ v1_finset_1(X0) ),
inference(cnf_transformation,[],[f12817]) ).
tcf(c_2596,plain,
! [X0: $i,X1: $i] : r1_tarski(k3_tarski(k2_tarski(k1_zfmisc_1(k4_xboole_0(X0,X1)),k1_zfmisc_1(k4_xboole_0(X1,X0)))),k1_zfmisc_1(k5_xboole_0(X0,X1))),
inference(cnf_transformation,[],[f14772]) ).
tcf(c_2597,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( k5_xboole_0(k2_enumset1(X0,X0,X0,X0),k2_enumset1(X1,X1,X1,X1)) = k2_tarski(X0,X1) ) ),
inference(cnf_transformation,[],[f14773]) ).
tcf(c_2598,plain,
! [X0: $i,X1: $i,X2: $i] : k5_xboole_0(k4_xboole_0(X0,k4_xboole_0(X0,X1)),k4_xboole_0(X2,k4_xboole_0(X2,X1))) = k4_xboole_0(k5_xboole_0(X0,X2),k4_xboole_0(k5_xboole_0(X0,X2),X1)),
inference(cnf_transformation,[],[f14774]) ).
tcf(c_2599,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k5_xboole_0(X0,X2),X1)
| ~ r1_tarski(X2,X1)
| ~ r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f12821]) ).
tcf(c_2600,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(X0,k5_xboole_0(X1,X2))
| ~ r1_tarski(X0,k3_tarski(k2_tarski(X1,X2)))
| ~ r1_xboole_0(X0,k4_xboole_0(X1,k4_xboole_0(X1,X2))) ),
inference(cnf_transformation,[],[f14775]) ).
tcf(c_2601,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(X0,k3_tarski(k2_tarski(X1,X2)))
| ~ r1_tarski(X0,k5_xboole_0(X1,X2)) ),
inference(cnf_transformation,[],[f14776]) ).
tcf(c_2602,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_xboole_0(X0,k4_xboole_0(X1,k4_xboole_0(X1,X2)))
| ~ r1_tarski(X0,k5_xboole_0(X1,X2)) ),
inference(cnf_transformation,[],[f14777]) ).
tcf(c_2603,plain,
! [X0: $i,X1: $i] : r1_xboole_0(k4_xboole_0(X0,k4_xboole_0(X0,X1)),k5_xboole_0(X0,X1)),
inference(cnf_transformation,[],[f14778]) ).
tcf(c_2604,plain,
! [X0: $i,X1: $i,X2: $i] : k3_tarski(k2_tarski(k4_xboole_0(X0,k3_tarski(k2_tarski(X1,X2))),k4_xboole_0(k4_xboole_0(X0,k4_xboole_0(X0,X1)),k4_xboole_0(k4_xboole_0(X0,k4_xboole_0(X0,X1)),X2)))) = k4_xboole_0(X0,k5_xboole_0(X1,X2)),
inference(cnf_transformation,[],[f14779]) ).
tcf(c_2606,plain,
! [X0: $i,X1: $i] : k5_xboole_0(X0,k4_xboole_0(X1,X0)) = k3_tarski(k2_tarski(X0,X1)),
inference(cnf_transformation,[],[f14781]) ).
tcf(c_2607,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k5_xboole_0(X0,X1),X2)
| ~ r1_tarski(k4_xboole_0(X1,X0),X2)
| ~ r1_tarski(k4_xboole_0(X0,X1),X2) ),
inference(cnf_transformation,[],[f12831]) ).
tcf(c_2608,plain,
! [X0: $i,X1: $i] : r1_tarski(k4_xboole_0(X0,X1),k5_xboole_0(X0,X1)),
inference(cnf_transformation,[],[f12832]) ).
tcf(c_2609,plain,
! [X0: $i,X1: $i] : k5_xboole_0(k5_xboole_0(X0,X1),k3_tarski(k2_tarski(X0,X1))) = k4_xboole_0(X0,k4_xboole_0(X0,X1)),
inference(cnf_transformation,[],[f14782]) ).
tcf(c_2611,plain,
! [X0: $i,X1: $i] : k3_tarski(k2_tarski(k5_xboole_0(X0,X1),k4_xboole_0(X0,k4_xboole_0(X0,X1)))) = k3_tarski(k2_tarski(X0,X1)),
inference(cnf_transformation,[],[f14784]) ).
tcf(c_2612,plain,
! [X0: $i] : k5_xboole_0(X0,X0) = np__0,
inference(cnf_transformation,[],[f14785]) ).
tcf(c_2613,plain,
! [X0: $i,X1: $i,X2: $i] : k5_xboole_0(k5_xboole_0(X0,X1),X2) = k5_xboole_0(X0,k5_xboole_0(X1,X2)),
inference(cnf_transformation,[],[f12837]) ).
tcf(c_2614,plain,
! [X0: $i] : k5_xboole_0(X0,np__0) = X0,
inference(cnf_transformation,[],[f14786]) ).
tcf(c_2615,plain,
! [X0: $i,X1: $i] : k5_xboole_0(X0,X1) = k5_xboole_0(X1,X0),
inference(cnf_transformation,[],[f12839]) ).
tcf(c_2616,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(sK412(X0,X1,X2),X0)
| ( k5_xboole_0(X1,X2) = X0 )
| ~ r2_hidden(sK412(X0,X1,X2),X2)
| ~ r2_hidden(sK412(X0,X1,X2),X1) ),
inference(cnf_transformation,[],[f12843]) ).
tcf(c_2617,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(sK412(X2,X0,X1),X2)
| r2_hidden(sK412(X2,X0,X1),X1)
| r2_hidden(sK412(X2,X0,X1),X0)
| ( k5_xboole_0(X0,X1) = X2 ) ),
inference(cnf_transformation,[],[f12842]) ).
tcf(c_2618,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(sK412(X0,X1,X2),X1)
| ( k5_xboole_0(X1,X2) = X0 )
| ~ r2_hidden(sK412(X0,X1,X2),X2)
| ~ r2_hidden(sK412(X0,X1,X2),X0) ),
inference(cnf_transformation,[],[f12841]) ).
tcf(c_2619,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(sK412(X0,X1,X2),X2)
| ( k5_xboole_0(X1,X2) = X0 )
| ~ r2_hidden(sK412(X0,X1,X2),X1)
| ~ r2_hidden(sK412(X0,X1,X2),X0) ),
inference(cnf_transformation,[],[f12840]) ).
tcf(c_2620,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(X0,X2)
| r2_hidden(X0,k5_xboole_0(X2,X1))
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f12847]) ).
tcf(c_2621,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(X0,X2)
| r2_hidden(X0,k5_xboole_0(X1,X2))
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f12846]) ).
tcf(c_2622,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r2_hidden(X0,X2)
| ~ r2_hidden(X0,X1)
| ~ r2_hidden(X0,k5_xboole_0(X1,X2)) ),
inference(cnf_transformation,[],[f12845]) ).
tcf(c_2623,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(X0,X2)
| r2_hidden(X0,X1)
| ~ r2_hidden(X0,k5_xboole_0(X1,X2)) ),
inference(cnf_transformation,[],[f12844]) ).
tcf(c_2624,plain,
! [X0: $i,X1: $i] : k3_tarski(k2_tarski(k4_xboole_0(X0,X1),k4_xboole_0(X1,X0))) = k5_xboole_0(X0,X1),
inference(cnf_transformation,[],[f14787]) ).
tcf(c_2625,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( v1_xboole_0(X1)
| r1_tarski(k2_zfmisc_1(k2_enumset1(X0,X0,X2,X3),X4),k2_zfmisc_1(X1,X4))
| ~ m1_subset_1(X3,X1)
| ~ m1_subset_1(X2,X1)
| ~ m1_subset_1(X0,X1) ),
inference(cnf_transformation,[],[f14788]) ).
tcf(c_2626,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_membered(k2_enumset1(X0,X0,X1,X2))
| ~ v1_xreal_0(X2)
| ~ v1_xreal_0(X1)
| ~ v1_xreal_0(X0) ),
inference(cnf_transformation,[],[f14789]) ).
tcf(c_2627,plain,
! [X0: $i,X1: $i,X2: $i] :
( v2_membered(k2_enumset1(X0,X0,X1,X2))
| ~ v1_xreal_0(X2)
| ~ v1_xreal_0(X1)
| ~ v1_xreal_0(X0) ),
inference(cnf_transformation,[],[f14790]) ).
tcf(c_2628,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_membered(k2_enumset1(X0,X0,X1,X2))
| ~ v1_xcmplx_0(X2)
| ~ v1_xcmplx_0(X1)
| ~ v1_xcmplx_0(X0) ),
inference(cnf_transformation,[],[f14791]) ).
tcf(c_2629,plain,
! [X0: $i,X1: $i,X2: $i] : r1_tarski(k2_tarski(X0,X1),k2_enumset1(X0,X0,X1,X2)),
inference(cnf_transformation,[],[f14792]) ).
tcf(c_2630,plain,
! [X0: $i,X1: $i,X2: $i] : r1_tarski(k2_enumset1(X0,X0,X0,X0),k2_enumset1(X0,X0,X1,X2)),
inference(cnf_transformation,[],[f14793]) ).
tcf(c_2632,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( m1_subset_1(k2_enumset1(X0,X0,X2,X3),k1_zfmisc_1(X1))
| ( X1 = np__0 )
| ~ m1_subset_1(X3,X1)
| ~ m1_subset_1(X2,X1)
| ~ m1_subset_1(X0,X1) ),
inference(cnf_transformation,[],[f14795]) ).
tcf(c_2633,plain,
! [X0: $i,X1: $i,X2: $i] : k2_enumset1(X0,X0,X1,X2) = k2_enumset1(X2,X2,X1,X0),
inference(cnf_transformation,[],[f14796]) ).
tcf(c_2634,plain,
! [X0: $i,X1: $i,X2: $i] : k2_enumset1(X0,X0,X1,X2) = k2_enumset1(X1,X1,X2,X0),
inference(cnf_transformation,[],[f14797]) ).
tcf(c_2635,plain,
! [X0: $i,X1: $i,X2: $i] : k2_enumset1(X0,X0,X1,X2) = k2_enumset1(X1,X1,X0,X2),
inference(cnf_transformation,[],[f14798]) ).
tcf(c_2637,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : k3_tarski(k2_tarski(k2_enumset1(X0,X0,X0,X0),k2_enumset1(X1,X1,X2,X3))) = k2_enumset1(X0,X1,X2,X3),
inference(cnf_transformation,[],[f14800]) ).
tcf(c_2638,plain,
! [X0: $i,X1: $i,X2: $i] : k3_tarski(k2_tarski(k2_tarski(X0,X1),k2_enumset1(X2,X2,X2,X2))) = k2_enumset1(X0,X0,X1,X2),
inference(cnf_transformation,[],[f14801]) ).
tcf(c_2640,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( k2_enumset1(X0,X0,X1,X2) = X3 )
| ~ r2_hidden(sK413(X0,X1,X2,X3),X3)
| ( sK413(X0,X1,X2,X3) != X0 ) ),
inference(cnf_transformation,[],[f14803]) ).
tcf(c_2641,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( k2_enumset1(X0,X0,X1,X2) = X3 )
| ~ r2_hidden(sK413(X0,X1,X2,X3),X3)
| ( sK413(X0,X1,X2,X3) != X1 ) ),
inference(cnf_transformation,[],[f14804]) ).
tcf(c_2642,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( k2_enumset1(X0,X0,X1,X2) = X3 )
| ~ r2_hidden(sK413(X0,X1,X2,X3),X3)
| ( sK413(X0,X1,X2,X3) != X2 ) ),
inference(cnf_transformation,[],[f14805]) ).
tcf(c_2643,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r2_hidden(sK413(X0,X1,X2,X3),X3)
| ( sK413(X0,X1,X2,X3) = X2 )
| ( sK413(X0,X1,X2,X3) = X1 )
| ( sK413(X0,X1,X2,X3) = X0 )
| ( k2_enumset1(X0,X0,X1,X2) = X3 ) ),
inference(cnf_transformation,[],[f14806]) ).
tcf(c_2647,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X0 = X3 )
| ( X0 = X2 )
| ( X0 = X1 )
| ~ r2_hidden(X0,k2_enumset1(X1,X1,X2,X3)) ),
inference(cnf_transformation,[],[f15242]) ).
tcf(c_2650,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k2_tarski(k1_funct_1(X1,X0),k1_funct_1(X1,X2)) = k9_relat_1(X1,k2_tarski(X0,X2)) )
| ~ v1_relat_1(X1)
| ~ v1_funct_1(X1)
| ~ r2_hidden(X2,k1_relat_1(X1))
| ~ r2_hidden(X0,k1_relat_1(X1)) ),
inference(cnf_transformation,[],[f12878]) ).
tcf(c_2651,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( k1_relat_1(k2_tarski(k2_tarski(k2_tarski(X0,X1),k2_enumset1(X0,X0,X0,X0)),k2_tarski(k2_tarski(X2,X3),k2_enumset1(X2,X2,X2,X2)))) = k2_tarski(X0,X2) )
| ~ v1_relat_1(k2_tarski(k2_tarski(k2_tarski(X0,X1),k2_enumset1(X0,X0,X0,X0)),k2_tarski(k2_tarski(X2,X3),k2_enumset1(X2,X2,X2,X2)))) ),
inference(cnf_transformation,[],[f15243]) ).
tcf(c_2652,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( k2_relat_1(k2_tarski(k2_tarski(k2_tarski(X0,X1),k2_enumset1(X0,X0,X0,X0)),k2_tarski(k2_tarski(X2,X3),k2_enumset1(X2,X2,X2,X2)))) = k2_tarski(X1,X3) )
| ~ v1_relat_1(k2_tarski(k2_tarski(k2_tarski(X0,X1),k2_enumset1(X0,X0,X0,X0)),k2_tarski(k2_tarski(X2,X3),k2_enumset1(X2,X2,X2,X2)))) ),
inference(cnf_transformation,[],[f15244]) ).
tcf(c_2653,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : v1_relat_1(k2_tarski(k2_tarski(k2_tarski(X0,X1),k2_enumset1(X0,X0,X0,X0)),k2_tarski(k2_tarski(X2,X3),k2_enumset1(X2,X2,X2,X2)))),
inference(cnf_transformation,[],[f14814]) ).
tcf(c_2654,plain,
! [X0: $i,X1: $i,X2: $i] :
( m1_subset_1(k2_tarski(X0,X2),k1_zfmisc_1(X1))
| ( X1 = np__0 )
| ~ m1_subset_1(X2,X1)
| ~ m1_subset_1(X0,X1) ),
inference(cnf_transformation,[],[f14815]) ).
tcf(c_2655,plain,
! [X0: $i,X1: $i] : ~ v1_xboole_0(k2_tarski(X0,X1)),
inference(cnf_transformation,[],[f12883]) ).
tcf(c_2659,plain,
! [X0: $i,X1: $i] : k4_xboole_0(k2_enumset1(X0,X0,X0,X0),k2_tarski(X0,X1)) = np__0,
inference(cnf_transformation,[],[f15246]) ).
tcf(c_2660,plain,
! [X0: $i,X1: $i] : k4_xboole_0(k2_enumset1(X0,X0,X0,X0),k2_tarski(X1,X0)) = np__0,
inference(cnf_transformation,[],[f15247]) ).
tcf(c_2662,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = np__0 )
| ( k2_tarski(X1,X2) = X0 )
| ( k2_enumset1(X2,X2,X2,X2) = X0 )
| ( k2_enumset1(X1,X1,X1,X1) = X0 )
| ( k4_xboole_0(X0,k2_tarski(X1,X2)) != np__0 ) ),
inference(cnf_transformation,[],[f14822]) ).
tcf(c_2663,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k4_xboole_0(k2_tarski(X0,X1),X2) = np__0 )
| ( k4_xboole_0(k2_tarski(X0,X1),X2) = k2_tarski(X0,X1) )
| ( k2_enumset1(X1,X1,X1,X1) = k4_xboole_0(k2_tarski(X0,X1),X2) )
| ( k2_enumset1(X0,X0,X0,X0) = k4_xboole_0(k2_tarski(X0,X1),X2) ) ),
inference(cnf_transformation,[],[f14823]) ).
tcf(c_2664,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k4_xboole_0(k2_tarski(X0,X2),X1) = np__0 )
| ~ r2_hidden(X2,X1)
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f14824]) ).
tcf(c_2665,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(X0,X2)
| ( k4_xboole_0(k2_tarski(X0,X1),X2) != np__0 ) ),
inference(cnf_transformation,[],[f14825]) ).
tcf(c_2666,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(X1,X2)
| ( k4_xboole_0(k2_tarski(X0,X1),X2) != np__0 ) ),
inference(cnf_transformation,[],[f14826]) ).
tcf(c_2667,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(X1,X2)
| r2_hidden(X0,X2)
| ( k4_xboole_0(k2_tarski(X0,X1),X2) = k2_tarski(X0,X1) ) ),
inference(cnf_transformation,[],[f12897]) ).
tcf(c_2668,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r2_hidden(X0,X2)
| ( k4_xboole_0(k2_tarski(X0,X1),X2) != k2_tarski(X0,X1) ) ),
inference(cnf_transformation,[],[f12896]) ).
tcf(c_2669,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r2_hidden(X1,X2)
| ( k4_xboole_0(k2_tarski(X0,X1),X2) != k2_tarski(X0,X1) ) ),
inference(cnf_transformation,[],[f12895]) ).
tcf(c_2670,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(X2,X1)
| ( k2_enumset1(X2,X2,X2,X2) = k4_xboole_0(k2_tarski(X2,X0),X1) )
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f14827]) ).
tcf(c_2671,plain,
! [X0: $i,X1: $i] :
( r2_hidden(X0,X1)
| ( k2_enumset1(X0,X0,X0,X0) = k4_xboole_0(k2_tarski(X0,X0),X1) ) ),
inference(cnf_transformation,[],[f15249]) ).
tcf(c_2672,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r2_hidden(X0,X2)
| ( k2_enumset1(X0,X0,X0,X0) != k4_xboole_0(k2_tarski(X0,X1),X2) ) ),
inference(cnf_transformation,[],[f14829]) ).
tcf(c_2673,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(X1,X2)
| ( X0 = X1 )
| ( k2_enumset1(X0,X0,X0,X0) != k4_xboole_0(k2_tarski(X0,X1),X2) ) ),
inference(cnf_transformation,[],[f14830]) ).
tcf(c_2674,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(X0,X2)
| ( k4_xboole_0(k2_tarski(X0,X1),k4_xboole_0(k2_tarski(X0,X1),X2)) != k2_tarski(X0,X1) ) ),
inference(cnf_transformation,[],[f14831]) ).
tcf(c_2675,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(X2,X1)
| ( k4_xboole_0(k2_tarski(X0,X2),k4_xboole_0(k2_tarski(X0,X2),X1)) = k2_enumset1(X0,X0,X0,X0) )
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f14832]) ).
tcf(c_2676,plain,
! [X0: $i,X1: $i] :
( ( k4_xboole_0(k2_tarski(X0,X0),k4_xboole_0(k2_tarski(X0,X0),X1)) = k2_enumset1(X0,X0,X0,X0) )
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f15250]) ).
tcf(c_2677,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X1 )
| ~ r2_hidden(X1,X2)
| ( k4_xboole_0(k2_tarski(X0,X1),k4_xboole_0(k2_tarski(X0,X1),X2)) != k2_enumset1(X0,X0,X0,X0) ) ),
inference(cnf_transformation,[],[f14834]) ).
tcf(c_2678,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k4_xboole_0(k2_tarski(X0,X2),k4_xboole_0(k2_tarski(X0,X2),X1)) = k2_tarski(X0,X2) )
| ~ r2_hidden(X2,X1)
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f14835]) ).
tcf(c_2679,plain,
! [X0: $i,X1: $i,X2: $i] : k3_tarski(k2_tarski(k2_tarski(X0,X1),X2)) != np__0,
inference(cnf_transformation,[],[f14836]) ).
tcf(c_2680,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k3_tarski(k2_tarski(k2_tarski(X0,X2),X1)) = X1 )
| ~ r2_hidden(X2,X1)
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f14837]) ).
tcf(c_2681,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(X0,X2)
| ~ r1_tarski(k3_tarski(k2_tarski(k2_tarski(X0,X1),X2)),X2) ),
inference(cnf_transformation,[],[f14838]) ).
tcf(c_2683,plain,
! [X0: $i,X1: $i] : r1_tarski(k2_enumset1(X0,X0,X0,X0),k2_tarski(X0,X1)),
inference(cnf_transformation,[],[f15252]) ).
tcf(c_2684,plain,
! [X0: $i,X1: $i] : r1_tarski(k2_enumset1(X0,X0,X0,X0),k2_tarski(X1,X0)),
inference(cnf_transformation,[],[f15253]) ).
tcf(c_2686,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = np__0 )
| ( k2_tarski(X1,X2) = X0 )
| ( k2_enumset1(X2,X2,X2,X2) = X0 )
| ( k2_enumset1(X1,X1,X1,X1) = X0 )
| ~ r1_tarski(X0,k2_tarski(X1,X2)) ),
inference(cnf_transformation,[],[f14842]) ).
tcf(c_2687,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k2_tarski(X0,X2),X1)
| ~ r2_hidden(X2,X1)
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f12917]) ).
tcf(c_2688,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(X0,X2)
| ~ r1_tarski(k2_tarski(X0,X1),X2) ),
inference(cnf_transformation,[],[f12916]) ).
tcf(c_2689,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(X1,X2)
| ~ r1_tarski(k2_tarski(X0,X1),X2) ),
inference(cnf_transformation,[],[f12915]) ).
tcf(c_2690,plain,
! [X0: $i,X1: $i,X2: $i] : k2_tarski(k2_tarski(k2_tarski(X0,X1),k2_enumset1(X0,X0,X0,X0)),k2_tarski(k2_tarski(X0,X2),k2_enumset1(X0,X0,X0,X0))) = k2_zfmisc_1(k2_enumset1(X0,X0,X0,X0),k2_tarski(X1,X2)),
inference(cnf_transformation,[],[f14843]) ).
tcf(c_2691,plain,
! [X0: $i,X1: $i,X2: $i] : k2_tarski(k2_tarski(k2_tarski(X0,X1),k2_enumset1(X0,X0,X0,X0)),k2_tarski(k2_tarski(X2,X1),k2_enumset1(X2,X2,X2,X2))) = k2_zfmisc_1(k2_tarski(X0,X2),k2_enumset1(X1,X1,X1,X1)),
inference(cnf_transformation,[],[f14844]) ).
tcf(c_2692,plain,
! [X0: $i] : k2_tarski(np__0,k2_enumset1(X0,X0,X0,X0)) = k1_zfmisc_1(k2_enumset1(X0,X0,X0,X0)),
inference(cnf_transformation,[],[f14845]) ).
tcf(c_2693,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X0 = X3 )
| ( X0 = X2 )
| ~ r1_tarski(k2_tarski(X0,X1),k2_tarski(X2,X3)) ),
inference(cnf_transformation,[],[f12921]) ).
tcf(c_2694,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k2_enumset1(X2,X2,X2,X2) = k2_tarski(X0,X1) )
| ~ r1_tarski(k2_tarski(X0,X1),k2_enumset1(X2,X2,X2,X2)) ),
inference(cnf_transformation,[],[f14846]) ).
tcf(c_2695,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X2 )
| ~ r1_tarski(k2_tarski(X0,X1),k2_enumset1(X2,X2,X2,X2)) ),
inference(cnf_transformation,[],[f14847]) ).
tcf(c_2697,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( k4_xboole_0(k2_tarski(X0,X1),k2_enumset1(X1,X1,X1,X1)) = k2_enumset1(X0,X0,X0,X0) ) ),
inference(cnf_transformation,[],[f14849]) ).
tcf(c_2699,plain,
! [X0: $i,X1: $i] : k4_xboole_0(k2_enumset1(X0,X0,X0,X0),k4_xboole_0(k2_enumset1(X0,X0,X0,X0),k2_tarski(X0,X1))) = k2_enumset1(X0,X0,X0,X0),
inference(cnf_transformation,[],[f14851]) ).
tcf(c_2702,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X0 = X3 )
| ( X0 = X2 )
| ( k2_tarski(X0,X1) != k2_tarski(X2,X3) ) ),
inference(cnf_transformation,[],[f12930]) ).
tcf(c_2703,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X2 )
| ( k2_enumset1(X0,X0,X0,X0) != k2_tarski(X1,X2) ) ),
inference(cnf_transformation,[],[f14854]) ).
tcf(c_2704,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X1 )
| ( k2_enumset1(X0,X0,X0,X0) != k2_tarski(X1,X2) ) ),
inference(cnf_transformation,[],[f14855]) ).
tcf(c_2707,plain,
! [X0: $i,X1: $i] : k2_tarski(X0,X1) = k2_tarski(X1,X0),
inference(cnf_transformation,[],[f12935]) ).
tcf(c_2708,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k2_tarski(X0,X1) = X2 )
| ~ r2_hidden(sK414(X0,X1,X2),X2)
| ( sK414(X0,X1,X2) != X0 ) ),
inference(cnf_transformation,[],[f12942]) ).
tcf(c_2709,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k2_tarski(X0,X1) = X2 )
| ~ r2_hidden(sK414(X0,X1,X2),X2)
| ( sK414(X0,X1,X2) != X1 ) ),
inference(cnf_transformation,[],[f12941]) ).
tcf(c_2710,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(sK414(X0,X1,X2),X2)
| ( k2_tarski(X0,X1) = X2 )
| ( sK414(X0,X1,X2) = X1 )
| ( sK414(X0,X1,X2) = X0 ) ),
inference(cnf_transformation,[],[f12940]) ).
tcf(c_2711,plain,
! [X0: $i,X1: $i] : r2_hidden(X0,k2_tarski(X0,X1)),
inference(cnf_transformation,[],[f15256]) ).
tcf(c_2712,plain,
! [X0: $i,X1: $i] : r2_hidden(X0,k2_tarski(X1,X0)),
inference(cnf_transformation,[],[f15258]) ).
tcf(c_2713,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X2 )
| ( X0 = X1 )
| ~ r2_hidden(X0,k2_tarski(X1,X2)) ),
inference(cnf_transformation,[],[f15259]) ).
tcf(c_2714,plain,
! [X0: $i] :
( r2_hidden(X0,k5_numbers)
| ~ v1_int_1(X0)
| ~ r1_xreal_0(np__0,X0) ),
inference(cnf_transformation,[],[f12943]) ).
tcf(c_2715,plain,
! [X0: $i] :
( v1_xcmplx_0(X0)
| ~ v1_int_1(X0) ),
inference(cnf_transformation,[],[f12945]) ).
tcf(c_2716,plain,
! [X0: $i] :
( v1_xreal_0(X0)
| ~ v1_int_1(X0) ),
inference(cnf_transformation,[],[f12944]) ).
tcf(c_2717,plain,
v1_int_1(sK415),
inference(cnf_transformation,[],[f12946]) ).
tcf(c_2718,plain,
m1_subset_1(sK416,k1_numbers),
inference(cnf_transformation,[],[f12950]) ).
tcf(c_2719,plain,
v1_xcmplx_0(sK416),
inference(cnf_transformation,[],[f12949]) ).
tcf(c_2720,plain,
v1_xreal_0(sK416),
inference(cnf_transformation,[],[f12948]) ).
tcf(c_2721,plain,
v1_int_1(sK416),
inference(cnf_transformation,[],[f12947]) ).
tcf(c_2722,plain,
! [X0: $i] :
( v1_int_1(X0)
| ~ r2_hidden(X0,k4_numbers) ),
inference(cnf_transformation,[],[f12952]) ).
tcf(c_2723,plain,
! [X0: $i] :
( r2_hidden(X0,k4_numbers)
| ~ v1_int_1(X0) ),
inference(cnf_transformation,[],[f12951]) ).
tcf(c_2724,plain,
! [X0: $i] :
( v1_int_1(X0)
| ~ m1_subset_1(X0,k4_numbers) ),
inference(cnf_transformation,[],[f12953]) ).
tcf(c_2725,plain,
k5_numbers != k4_numbers,
inference(cnf_transformation,[],[f12954]) ).
tcf(c_2726,plain,
k4_numbers != k2_numbers,
inference(cnf_transformation,[],[f12955]) ).
tcf(c_2727,plain,
k4_numbers != k1_numbers,
inference(cnf_transformation,[],[f12956]) ).
tcf(c_2728,plain,
k4_numbers != k3_numbers,
inference(cnf_transformation,[],[f12957]) ).
tcf(c_2729,plain,
r1_tarski(k5_numbers,k4_numbers),
inference(cnf_transformation,[],[f12958]) ).
tcf(c_2730,plain,
r1_tarski(k4_numbers,k2_numbers),
inference(cnf_transformation,[],[f12959]) ).
tcf(c_2731,plain,
r1_tarski(k4_numbers,k1_numbers),
inference(cnf_transformation,[],[f12960]) ).
tcf(c_2732,plain,
r1_tarski(k4_numbers,k3_numbers),
inference(cnf_transformation,[],[f12961]) ).
tcf(c_2733,plain,
~ v1_xboole_0(k4_numbers),
inference(cnf_transformation,[],[f12962]) ).
tcf(c_2734,plain,
k5_numbers != k3_numbers,
inference(cnf_transformation,[],[f12963]) ).
tcf(c_2735,plain,
k3_numbers != k2_numbers,
inference(cnf_transformation,[],[f12964]) ).
tcf(c_2736,plain,
k3_numbers != k1_numbers,
inference(cnf_transformation,[],[f12965]) ).
tcf(c_2737,plain,
r1_tarski(k5_numbers,k3_numbers),
inference(cnf_transformation,[],[f12966]) ).
tcf(c_2738,plain,
r1_tarski(k3_numbers,k2_numbers),
inference(cnf_transformation,[],[f12967]) ).
tcf(c_2739,plain,
r1_tarski(k3_numbers,k1_numbers),
inference(cnf_transformation,[],[f12968]) ).
tcf(c_2740,plain,
~ v1_xboole_0(k3_numbers),
inference(cnf_transformation,[],[f12969]) ).
tcf(c_2741,plain,
! [X0: $i,X1: $i] :
( r1_xreal_0(X1,X0)
| r1_xreal_0(X0,X1)
| ~ v1_xreal_0(X1)
| ~ v1_xreal_0(X0) ),
inference(cnf_transformation,[],[f12970]) ).
tcf(c_2742,plain,
! [X0: $i,X1: $i] :
( r1_xreal_0(X0,X0)
| ~ v1_xreal_0(X1)
| ~ v1_xreal_0(X0) ),
inference(cnf_transformation,[],[f12971]) ).
tcf(c_2743,plain,
! [X0: $i] :
( v1_xreal_0(X0)
| ~ r2_hidden(X0,k1_numbers) ),
inference(cnf_transformation,[],[f12973]) ).
tcf(c_2744,plain,
! [X0: $i] :
( r2_hidden(X0,k1_numbers)
| ~ v1_xreal_0(X0) ),
inference(cnf_transformation,[],[f12972]) ).
tcf(c_2745,plain,
~ v1_xboole_0(k1_numbers),
inference(cnf_transformation,[],[f12974]) ).
tcf(c_2746,plain,
! [X0: $i] :
( ( X0 = k2_numbers )
| ~ v1_membered(X0)
| ~ r2_hidden(sK417(X0),X0) ),
inference(cnf_transformation,[],[f12976]) ).
tcf(c_2747,plain,
! [X0: $i] :
( v1_xcmplx_0(sK417(X0))
| ( X0 = k2_numbers )
| ~ v1_membered(X0) ),
inference(cnf_transformation,[],[f12975]) ).
tcf(c_2748,plain,
v1_xcmplx_0(sK418),
inference(cnf_transformation,[],[f12978]) ).
tcf(c_2749,plain,
v1_xreal_0(sK418),
inference(cnf_transformation,[],[f12977]) ).
tcf(c_2750,plain,
! [X0: $i] :
( v1_xcmplx_0(X0)
| ~ v1_xreal_0(X0) ),
inference(cnf_transformation,[],[f12979]) ).
tcf(c_2751,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k1_tops_1(X1,k6_subset_1(u1_struct_0(X1),X0,X2)),k6_subset_1(u1_struct_0(X1),k1_tops_1(X1,X0),k1_tops_1(X1,X2)))
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(cnf_transformation,[],[f12980]) ).
tcf(c_2752,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k6_subset_1(u1_struct_0(X1),k6_pre_topc(X1,X0),k6_pre_topc(X1,X2)),k6_pre_topc(X1,k6_subset_1(u1_struct_0(X1),X0,X2)))
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(cnf_transformation,[],[f12981]) ).
tcf(c_2753,plain,
! [X0: $i,X1: $i] :
( ( k6_pre_topc(X1,k6_subset_1(u1_struct_0(X1),k2_pre_topc(X1),X0)) = k6_subset_1(u1_struct_0(X1),k2_pre_topc(X1),X0) )
| ~ l1_pre_topc(X1)
| ~ v3_pre_topc(X0,X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(cnf_transformation,[],[f12983]) ).
tcf(c_2754,plain,
! [X0: $i,X1: $i] :
( v3_pre_topc(X1,X0)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ( k6_pre_topc(X0,k6_subset_1(u1_struct_0(X0),k2_pre_topc(X0),X1)) != k6_subset_1(u1_struct_0(X0),k2_pre_topc(X0),X1) ) ),
inference(cnf_transformation,[],[f12982]) ).
tcf(c_2755,plain,
! [X0: $i,X1: $i] :
( v4_pre_topc(X1,X0)
| ~ l1_pre_topc(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ v3_pre_topc(k6_subset_1(u1_struct_0(X0),k2_pre_topc(X0),X1),X0) ),
inference(cnf_transformation,[],[f12985]) ).
tcf(c_2756,plain,
! [X0: $i,X1: $i] :
( v3_pre_topc(k6_subset_1(u1_struct_0(X1),k2_pre_topc(X1),X0),X1)
| ~ l1_pre_topc(X1)
| ~ v4_pre_topc(X0,X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(cnf_transformation,[],[f12984]) ).
tcf(c_2757,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k6_subset_1(u1_struct_0(X0),k2_pre_topc(X0),X1) = X2 )
| ~ l1_struct_0(X0)
| ~ r1_xboole_0(X1,X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ( k4_subset_1(u1_struct_0(X0),X1,X2) != k2_pre_topc(X0) ) ),
inference(cnf_transformation,[],[f12986]) ).
tcf(c_2758,plain,
! [X0: $i,X1: $i] :
( ( k4_subset_1(u1_struct_0(X0),X1,k6_subset_1(u1_struct_0(X0),k2_pre_topc(X0),X1)) = k2_pre_topc(X0) )
| ~ l1_struct_0(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ m1_subset_1(k6_subset_1(u1_struct_0(X0),k2_pre_topc(X0),X1),k1_zfmisc_1(u1_struct_0(X0))) ),
inference(cnf_transformation,[],[f15260]) ).
tcf(c_2759,plain,
! [X0: $i,X1: $i] :
( ( k2_pre_topc(X0) = X1 )
| ~ l1_struct_0(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ( k6_subset_1(u1_struct_0(X0),k2_pre_topc(X0),X1) != np__0 ) ),
inference(cnf_transformation,[],[f14858]) ).
tcf(c_2760,plain,
! [X0: $i] :
( ( k6_subset_1(u1_struct_0(X0),k2_pre_topc(X0),k2_pre_topc(X0)) = np__0 )
| ~ l1_struct_0(X0)
| ~ m1_subset_1(k2_pre_topc(X0),k1_zfmisc_1(u1_struct_0(X0))) ),
inference(cnf_transformation,[],[f15261]) ).
tcf(c_2761,plain,
! [X0: $i,X1: $i] :
( ( k6_subset_1(u1_struct_0(X1),k2_pre_topc(X1),k6_subset_1(u1_struct_0(X1),k2_pre_topc(X1),X0)) = X0 )
| ~ l1_struct_0(X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(cnf_transformation,[],[f12990]) ).
tcf(c_2762,plain,
! [X0: $i,X1: $i] :
( ( k6_subset_1(u1_struct_0(X1),k2_pre_topc(X1),X0) = k3_subset_1(u1_struct_0(X1),X0) )
| ~ l1_struct_0(X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(cnf_transformation,[],[f12991]) ).
tcf(c_2763,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k6_subset_1(X1,X0,X2) = k4_xboole_0(X0,X2) )
| ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| ~ m1_subset_1(X0,k1_zfmisc_1(X1)) ),
inference(cnf_transformation,[],[f12992]) ).
tcf(c_2764,plain,
! [X0: $i,X1: $i,X2: $i] :
( m1_subset_1(k6_subset_1(X1,X0,X2),k1_zfmisc_1(X1))
| ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| ~ m1_subset_1(X0,k1_zfmisc_1(X1)) ),
inference(cnf_transformation,[],[f12993]) ).
tcf(c_2765,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k3_subset_1(X1,k6_subset_1(X1,X0,X2)) = k4_subset_1(X1,k3_subset_1(X1,X0),X2) )
| ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| ~ m1_subset_1(X0,k1_zfmisc_1(X1)) ),
inference(cnf_transformation,[],[f12994]) ).
tcf(c_2766,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r2_hidden(sK419(X0,X1,X2,X3),X3)
| ( k6_subset_1(X0,X2,X3) = X1 )
| ~ m1_subset_1(X3,k1_zfmisc_1(X0))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ r2_hidden(sK419(X0,X1,X2,X3),X2)
| ~ r2_hidden(sK419(X0,X1,X2,X3),X1) ),
inference(cnf_transformation,[],[f12998]) ).
tcf(c_2767,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r2_hidden(sK419(X1,X0,X2,X3),X2)
| r2_hidden(sK419(X1,X0,X2,X3),X0)
| ( k6_subset_1(X1,X2,X3) = X0 )
| ~ m1_subset_1(X3,k1_zfmisc_1(X1))
| ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| ~ m1_subset_1(X0,k1_zfmisc_1(X1)) ),
inference(cnf_transformation,[],[f12997]) ).
tcf(c_2768,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r2_hidden(sK419(X0,X1,X2,X3),X1)
| ( k6_subset_1(X0,X2,X3) = X1 )
| ~ m1_subset_1(X3,k1_zfmisc_1(X0))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ r2_hidden(sK419(X0,X1,X2,X3),X3) ),
inference(cnf_transformation,[],[f12996]) ).
tcf(c_2769,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( m1_subset_1(sK419(X1,X0,X2,X3),X1)
| ( k6_subset_1(X1,X2,X3) = X0 )
| ~ m1_subset_1(X3,k1_zfmisc_1(X1))
| ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| ~ m1_subset_1(X0,k1_zfmisc_1(X1)) ),
inference(cnf_transformation,[],[f12995]) ).
tcf(c_2770,plain,
! [X0: $i,X1: $i] :
( r1_xreal_0(k3_finseq_1(X0),k3_finseq_1(X1))
| ~ v1_finseq_1(X1)
| ~ v1_finseq_1(X0)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X0)
| ~ r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f12999]) ).
tcf(c_2771,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ v1_finseq_1(X1)
| ~ v1_finseq_1(X0)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X0)
| ( k3_finseq_1(X0) != k3_finseq_1(X1) )
| ( k1_funct_1(X0,sK420(X0,X1)) != k1_funct_1(X1,sK420(X0,X1)) ) ),
inference(cnf_transformation,[],[f13003]) ).
tcf(c_2772,plain,
! [X0: $i,X1: $i] :
( r1_xreal_0(np__1,sK420(X0,X1))
| ( X0 = X1 )
| ~ v1_finseq_1(X1)
| ~ v1_finseq_1(X0)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X0)
| ( k3_finseq_1(X0) != k3_finseq_1(X1) ) ),
inference(cnf_transformation,[],[f13002]) ).
tcf(c_2773,plain,
! [X0: $i,X1: $i] :
( r1_xreal_0(sK420(X0,X1),k3_finseq_1(X0))
| ( X0 = X1 )
| ~ v1_finseq_1(X1)
| ~ v1_finseq_1(X0)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X0)
| ( k3_finseq_1(X0) != k3_finseq_1(X1) ) ),
inference(cnf_transformation,[],[f13001]) ).
tcf(c_2774,plain,
! [X0: $i,X1: $i] :
( m2_subset_1(sK420(X0,X1),k1_numbers,k5_numbers)
| ( X0 = X1 )
| ~ v1_finseq_1(X1)
| ~ v1_finseq_1(X0)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X0)
| ( k3_finseq_1(X0) != k3_finseq_1(X1) ) ),
inference(cnf_transformation,[],[f13000]) ).
tcf(c_2775,plain,
! [X0: $i,X1: $i] :
( r1_xreal_0(X1,X0)
| r2_hidden(k1_card_1(X0),k1_card_1(X1))
| ~ m2_subset_1(X1,k1_numbers,k5_numbers)
| ~ m2_subset_1(X0,k1_numbers,k5_numbers) ),
inference(cnf_transformation,[],[f13005]) ).
tcf(c_2776,plain,
! [X0: $i,X1: $i] :
( ~ r1_xreal_0(X1,X0)
| ~ m2_subset_1(X1,k1_numbers,k5_numbers)
| ~ m2_subset_1(X0,k1_numbers,k5_numbers)
| ~ r2_hidden(k1_card_1(X0),k1_card_1(X1)) ),
inference(cnf_transformation,[],[f13004]) ).
tcf(c_2777,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k1_card_1(X0),k1_card_1(X1))
| ~ r1_xreal_0(X0,X1)
| ~ m2_subset_1(X1,k1_numbers,k5_numbers)
| ~ m2_subset_1(X0,k1_numbers,k5_numbers) ),
inference(cnf_transformation,[],[f13007]) ).
tcf(c_2778,plain,
! [X0: $i,X1: $i] :
( r1_xreal_0(X0,X1)
| ~ m2_subset_1(X1,k1_numbers,k5_numbers)
| ~ m2_subset_1(X0,k1_numbers,k5_numbers)
| ~ r1_tarski(k1_card_1(X0),k1_card_1(X1)) ),
inference(cnf_transformation,[],[f13006]) ).
tcf(c_2779,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X2)
| m1_subset_1(k1_funct_1(X1,X0),u1_struct_0(X2))
| ~ l1_rlvect_1(X2)
| ~ m2_subset_1(X0,k1_numbers,k5_numbers)
| ~ m2_finseq_1(X1,u1_struct_0(X2))
| ~ m2_subset_1(k3_finseq_1(X1),k1_numbers,k5_numbers)
| ~ r2_hidden(X0,k2_finseq_1(k3_finseq_1(X1))) ),
inference(cnf_transformation,[],[f15262]) ).
tcf(c_2780,plain,
! [X0: $i] :
( r2_wellord2(X0,k2_finseq_1(sK421(X0)))
| ~ v1_finset_1(X0) ),
inference(cnf_transformation,[],[f13010]) ).
tcf(c_2781,plain,
! [X0: $i] :
( m2_subset_1(sK421(X0),k1_numbers,k5_numbers)
| ~ v1_finset_1(X0) ),
inference(cnf_transformation,[],[f13009]) ).
tcf(c_2782,plain,
! [X0: $i] :
( ( k1_card_1(k2_finseq_1(X0)) = k1_card_1(X0) )
| ~ m2_subset_1(X0,k1_numbers,k5_numbers) ),
inference(cnf_transformation,[],[f13011]) ).
tcf(c_2783,plain,
! [X0: $i] :
( r2_wellord2(k2_finseq_1(X0),X0)
| ~ m2_subset_1(X0,k1_numbers,k5_numbers) ),
inference(cnf_transformation,[],[f13012]) ).
tcf(c_2784,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ m2_subset_1(X1,k1_numbers,k5_numbers)
| ~ m2_subset_1(X0,k1_numbers,k5_numbers)
| ~ r2_wellord2(k2_finseq_1(X0),k2_finseq_1(X1)) ),
inference(cnf_transformation,[],[f13013]) ).
tcf(c_2789,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k7_finseq_1(X0,X2) = X1 )
| ~ v1_finseq_1(X2)
| ~ v1_finseq_1(X1)
| ~ v1_finseq_1(X0)
| ~ v1_relat_1(X2)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X0)
| ~ sP25(X0,X1,X2)
| ( k1_funct_1(X0,sK423(X0,X1)) != k1_funct_1(X1,sK423(X0,X1)) )
| ( k2_finseq_1(k1_nat_1(k3_finseq_1(X0),k3_finseq_1(X2))) != k4_finseq_1(X1) ) ),
inference(cnf_transformation,[],[f13023]) ).
tcf(c_2790,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(sK423(X0,X2),k4_finseq_1(X0))
| ( k7_finseq_1(X0,X1) = X2 )
| ~ v1_finseq_1(X2)
| ~ v1_finseq_1(X1)
| ~ v1_finseq_1(X0)
| ~ v1_relat_1(X2)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X0)
| ~ sP25(X0,X2,X1)
| ( k2_finseq_1(k1_nat_1(k3_finseq_1(X0),k3_finseq_1(X1))) != k4_finseq_1(X2) ) ),
inference(cnf_transformation,[],[f13022]) ).
tcf(c_2791,plain,
! [X0: $i,X1: $i,X2: $i] :
( m2_subset_1(sK423(X0,X2),k1_numbers,k5_numbers)
| ( k7_finseq_1(X0,X1) = X2 )
| ~ v1_finseq_1(X2)
| ~ v1_finseq_1(X1)
| ~ v1_finseq_1(X0)
| ~ v1_relat_1(X2)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X0)
| ~ sP25(X0,X2,X1)
| ( k2_finseq_1(k1_nat_1(k3_finseq_1(X0),k3_finseq_1(X1))) != k4_finseq_1(X2) ) ),
inference(cnf_transformation,[],[f13021]) ).
tcf(c_2792,plain,
! [X0: $i,X1: $i] :
( ( k2_finseq_1(k1_nat_1(k3_finseq_1(X0),k3_finseq_1(X1))) = k4_finseq_1(k7_finseq_1(X0,X1)) )
| ~ v1_finseq_1(X1)
| ~ v1_finseq_1(X0)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X0)
| ~ v1_finseq_1(k7_finseq_1(X0,X1))
| ~ v1_relat_1(k7_finseq_1(X0,X1))
| ~ v1_funct_1(k7_finseq_1(X0,X1)) ),
inference(cnf_transformation,[],[f15263]) ).
tcf(c_2793,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k1_funct_1(k7_finseq_1(X1,X2),X0) = k1_funct_1(X1,X0) )
| ~ v1_finseq_1(X2)
| ~ v1_finseq_1(X1)
| ~ v1_relat_1(X2)
| ~ v1_relat_1(X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X1)
| ~ m2_subset_1(X0,k1_numbers,k5_numbers)
| ~ v1_finseq_1(k7_finseq_1(X1,X2))
| ~ v1_relat_1(k7_finseq_1(X1,X2))
| ~ v1_funct_1(k7_finseq_1(X1,X2))
| ~ r2_hidden(X0,k4_finseq_1(X1)) ),
inference(cnf_transformation,[],[f15264]) ).
tcf(c_2794,plain,
! [X0: $i,X1: $i] :
( sP25(X0,k7_finseq_1(X0,X1),X1)
| ~ v1_finseq_1(X1)
| ~ v1_finseq_1(X0)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X0)
| ~ v1_finseq_1(k7_finseq_1(X0,X1))
| ~ v1_relat_1(k7_finseq_1(X0,X1))
| ~ v1_funct_1(k7_finseq_1(X0,X1)) ),
inference(cnf_transformation,[],[f15265]) ).
tcf(c_2795,plain,
! [X0: $i,X1: $i] :
( ( k3_finseq_1(k7_relat_1(X0,k2_finseq_1(X1))) = X1 )
| ~ v1_finseq_1(X0)
| ~ v4_ordinal2(X1)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0)
| ~ r1_xreal_0(X1,k3_finseq_1(X0))
| ~ v1_finseq_1(k7_relat_1(X0,k2_finseq_1(X1)))
| ~ v1_relat_1(k7_relat_1(X0,k2_finseq_1(X1)))
| ~ v1_funct_1(k7_relat_1(X0,k2_finseq_1(X1))) ),
inference(cnf_transformation,[],[f15266]) ).
tcf(c_2796,plain,
! [X0: $i,X1: $i] :
( ( k4_finseq_1(k7_relat_1(X0,k2_finseq_1(X1))) = k2_finseq_1(X1) )
| ~ v1_finseq_1(X0)
| ~ v4_ordinal2(X1)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0)
| ~ r1_xreal_0(X1,k3_finseq_1(X0))
| ~ v1_finseq_1(k7_relat_1(X0,k2_finseq_1(X1)))
| ~ v1_relat_1(k7_relat_1(X0,k2_finseq_1(X1)))
| ~ v1_funct_1(k7_relat_1(X0,k2_finseq_1(X1))) ),
inference(cnf_transformation,[],[f15267]) ).
tcf(c_2797,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,sK424(X0))
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0)
| ~ m2_subset_1(X1,k1_numbers,k5_numbers)
| ~ r1_tarski(k1_relat_1(X0),k2_finseq_1(X1)) ),
inference(cnf_transformation,[],[f13029]) ).
tcf(c_2798,plain,
! [X0: $i,X1: $i] :
( v1_relat_1(sK424(X0))
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0)
| ~ m2_subset_1(X1,k1_numbers,k5_numbers)
| ~ r1_tarski(k1_relat_1(X0),k2_finseq_1(X1)) ),
inference(cnf_transformation,[],[f13028]) ).
tcf(c_2799,plain,
! [X0: $i,X1: $i] :
( v1_funct_1(sK424(X0))
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0)
| ~ m2_subset_1(X1,k1_numbers,k5_numbers)
| ~ r1_tarski(k1_relat_1(X0),k2_finseq_1(X1)) ),
inference(cnf_transformation,[],[f13027]) ).
tcf(c_2800,plain,
! [X0: $i,X1: $i] :
( v1_finseq_1(sK424(X0))
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0)
| ~ m2_subset_1(X1,k1_numbers,k5_numbers)
| ~ r1_tarski(k1_relat_1(X0),k2_finseq_1(X1)) ),
inference(cnf_transformation,[],[f13026]) ).
tcf(c_2801,plain,
! [X0: $i,X1: $i] :
( ( k3_finseq_1(X0) = X1 )
| ~ v1_finseq_1(X0)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0)
| ~ m2_subset_1(X1,k1_numbers,k5_numbers)
| ( k1_relat_1(X0) != k2_finseq_1(X1) ) ),
inference(cnf_transformation,[],[f13031]) ).
tcf(c_2802,plain,
! [X0: $i] :
( ( k2_finseq_1(k3_finseq_1(X0)) = k1_relat_1(X0) )
| ~ v1_finseq_1(X0)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0)
| ~ m2_subset_1(k3_finseq_1(X0),k1_numbers,k5_numbers) ),
inference(cnf_transformation,[],[f15268]) ).
tcf(c_2803,plain,
! [X0: $i,X1: $i] :
( v1_finseq_1(X0)
| ~ v1_relat_1(X0)
| ~ m2_subset_1(X1,k1_numbers,k5_numbers)
| ( k1_relat_1(X0) != k2_finseq_1(X1) ) ),
inference(cnf_transformation,[],[f13034]) ).
tcf(c_2804,plain,
! [X0: $i] :
( m2_subset_1(sK425(X0),k1_numbers,k5_numbers)
| ~ v1_finseq_1(X0)
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f13033]) ).
tcf(c_2805,plain,
! [X0: $i] :
( ( k2_finseq_1(sK425(X0)) = k1_relat_1(X0) )
| ~ v1_finseq_1(X0)
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f13032]) ).
tcf(c_2806,plain,
! [X0: $i] :
( ( X0 = np__0 )
| ( k1_card_1(X0) != np__0 ) ),
inference(cnf_transformation,[],[f14860]) ).
tcf(c_2809,plain,
! [X0: $i] :
( ( k1_card_1(X0) = X0 )
| ~ m2_subset_1(X0,k1_numbers,k5_numbers) ),
inference(cnf_transformation,[],[f13038]) ).
tcf(c_2810,plain,
! [X0: $i,X1: $i] : k1_card_1(k2_enumset1(X0,X0,X0,X0)) = k1_card_1(k2_enumset1(X1,X1,X1,X1)),
inference(cnf_transformation,[],[f15270]) ).
tcf(c_2811,plain,
! [X0: $i,X1: $i] :
( ( k2_enumset1(sK426(X1),sK426(X1),sK426(X1),sK426(X1)) = X1 )
| ( k1_card_1(k2_enumset1(X0,X0,X0,X0)) != k1_card_1(X1) ) ),
inference(cnf_transformation,[],[f14863]) ).
tcf(c_2812,plain,
k1_card_1(np__0) = np__0,
inference(cnf_transformation,[],[f14864]) ).
tcf(c_2813,plain,
! [X0: $i] : r2_hidden(k1_card_1(X0),k1_card_1(k1_zfmisc_1(X0))),
inference(cnf_transformation,[],[f13042]) ).
tcf(c_2814,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k1_card_1(X0),k1_card_1(k1_relat_1(X1)))
| ~ v1_relat_1(X1)
| ~ v1_funct_1(X1)
| ~ r1_tarski(X0,k2_relat_1(X1)) ),
inference(cnf_transformation,[],[f15271]) ).
tcf(c_2815,plain,
! [X0: $i,X1: $i] :
( v1_relat_1(sK427(X0,X1))
| ~ r1_tarski(k1_card_1(X0),k1_card_1(X1)) ),
inference(cnf_transformation,[],[f13046]) ).
tcf(c_2816,plain,
! [X0: $i,X1: $i] :
( v1_funct_1(sK427(X0,X1))
| ~ r1_tarski(k1_card_1(X0),k1_card_1(X1)) ),
inference(cnf_transformation,[],[f13045]) ).
tcf(c_2817,plain,
! [X0: $i,X1: $i] :
( ( k1_relat_1(sK427(X0,X1)) = X1 )
| ~ r1_tarski(k1_card_1(X0),k1_card_1(X1)) ),
inference(cnf_transformation,[],[f13044]) ).
tcf(c_2818,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,k2_relat_1(sK427(X0,X1)))
| ~ r1_tarski(k1_card_1(X0),k1_card_1(X1)) ),
inference(cnf_transformation,[],[f13043]) ).
tcf(c_2819,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k1_card_1(X0),k1_card_1(X1))
| ~ r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f13048]) ).
tcf(c_2820,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k1_card_1(k1_relat_1(X0)),k1_card_1(X1))
| ~ v2_funct_1(X0)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0)
| ~ r1_tarski(k2_relat_1(X0),X1) ),
inference(cnf_transformation,[],[f15272]) ).
tcf(c_2821,plain,
! [X0: $i,X1: $i] :
( v1_relat_1(sK428(X0,X1))
| ~ r1_tarski(k1_card_1(X0),k1_card_1(X1)) ),
inference(cnf_transformation,[],[f13053]) ).
tcf(c_2822,plain,
! [X0: $i,X1: $i] :
( v1_funct_1(sK428(X0,X1))
| ~ r1_tarski(k1_card_1(X0),k1_card_1(X1)) ),
inference(cnf_transformation,[],[f13052]) ).
tcf(c_2823,plain,
! [X0: $i,X1: $i] :
( v2_funct_1(sK428(X0,X1))
| ~ r1_tarski(k1_card_1(X0),k1_card_1(X1)) ),
inference(cnf_transformation,[],[f13051]) ).
tcf(c_2824,plain,
! [X0: $i,X1: $i] :
( ( k1_relat_1(sK428(X0,X1)) = X0 )
| ~ r1_tarski(k1_card_1(X0),k1_card_1(X1)) ),
inference(cnf_transformation,[],[f13050]) ).
tcf(c_2825,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k2_relat_1(sK428(X0,X1)),X1)
| ~ r1_tarski(k1_card_1(X0),k1_card_1(X1)) ),
inference(cnf_transformation,[],[f13049]) ).
tcf(c_2826,plain,
! [X0: $i,X1: $i,X2: $i] :
( v2_funct_1(X2)
| v1_xboole_0(X1)
| v1_xboole_0(X0)
| ~ v1_funct_1(X2)
| ~ m2_relset_1(X2,X0,X1)
| ~ v1_funct_2(X2,X0,X1)
| ( sK429(X0,X1,X2) != sK430(X0,X1,X2) ) ),
inference(cnf_transformation,[],[f13059]) ).
tcf(c_2827,plain,
! [X0: $i,X1: $i,X2: $i] :
( v2_funct_1(X0)
| v1_xboole_0(X2)
| v1_xboole_0(X1)
| ( k8_funct_2(X1,X2,X0,sK429(X1,X2,X0)) = k8_funct_2(X1,X2,X0,sK430(X1,X2,X0)) )
| ~ v1_funct_1(X0)
| ~ m2_relset_1(X0,X1,X2)
| ~ v1_funct_2(X0,X1,X2) ),
inference(cnf_transformation,[],[f13058]) ).
tcf(c_2828,plain,
! [X0: $i,X1: $i,X2: $i] :
( v2_funct_1(X0)
| v1_xboole_0(X2)
| v1_xboole_0(X1)
| m1_subset_1(sK430(X1,X2,X0),X1)
| ~ v1_funct_1(X0)
| ~ m2_relset_1(X0,X1,X2)
| ~ v1_funct_2(X0,X1,X2) ),
inference(cnf_transformation,[],[f13057]) ).
tcf(c_2829,plain,
! [X0: $i,X1: $i,X2: $i] :
( v2_funct_1(X0)
| v1_xboole_0(X2)
| v1_xboole_0(X1)
| m1_subset_1(sK429(X1,X2,X0),X1)
| ~ v1_funct_1(X0)
| ~ m2_relset_1(X0,X1,X2)
| ~ v1_funct_2(X0,X1,X2) ),
inference(cnf_transformation,[],[f13056]) ).
tcf(c_2830,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( v1_xboole_0(X1)
| v1_xboole_0(X0)
| ( X3 = X4 )
| ~ v2_funct_1(X2)
| ~ v1_funct_1(X2)
| ~ m1_subset_1(X4,X0)
| ~ m1_subset_1(X3,X0)
| ~ m2_relset_1(X2,X0,X1)
| ~ v1_funct_2(X2,X0,X1)
| ( k8_funct_2(X0,X1,X2,X3) != k8_funct_2(X0,X1,X2,X4) ) ),
inference(cnf_transformation,[],[f13055]) ).
tcf(c_2831,plain,
! [X0: $i,X1: $i] :
( ( k3_finseq_1(X0) = k3_finseq_1(X1) )
| ~ v1_finseq_1(X1)
| ~ v1_finseq_1(X0)
| ~ v2_funct_1(X1)
| ~ v2_funct_1(X0)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X0)
| ( k2_relat_1(X0) != k2_relat_1(X1) ) ),
inference(cnf_transformation,[],[f13060]) ).
tcf(c_2832,plain,
v1_xboole_0(sK431),
inference(cnf_transformation,[],[f13066]) ).
tcf(c_2833,plain,
v1_relat_1(sK431),
inference(cnf_transformation,[],[f13065]) ).
tcf(c_2834,plain,
v1_funct_1(sK431),
inference(cnf_transformation,[],[f13064]) ).
tcf(c_2835,plain,
v2_funct_1(sK431),
inference(cnf_transformation,[],[f13063]) ).
tcf(c_2836,plain,
v1_finset_1(sK431),
inference(cnf_transformation,[],[f13062]) ).
tcf(c_2837,plain,
v1_finseq_1(sK431),
inference(cnf_transformation,[],[f13061]) ).
tcf(c_2839,plain,
! [X0: $i,X1: $i] :
( v2_funct_1(X1)
| ~ v1_funct_1(X1)
| ~ m2_relset_1(X1,X0,X0)
| ~ v1_funct_2(X1,X0,X0)
| ( sK432(X0,X1) != sK433(X0,X1) ) ),
inference(cnf_transformation,[],[f13072]) ).
tcf(c_2840,plain,
! [X0: $i,X1: $i] :
( v2_funct_1(X0)
| r2_hidden(sK432(X1,X0),X1)
| ~ v1_funct_1(X0)
| ~ m2_relset_1(X0,X1,X1)
| ~ v1_funct_2(X0,X1,X1) ),
inference(cnf_transformation,[],[f13071]) ).
tcf(c_2841,plain,
! [X0: $i,X1: $i] :
( v2_funct_1(X0)
| r2_hidden(sK433(X1,X0),X1)
| ~ v1_funct_1(X0)
| ~ m2_relset_1(X0,X1,X1)
| ~ v1_funct_2(X0,X1,X1) ),
inference(cnf_transformation,[],[f13070]) ).
tcf(c_2842,plain,
! [X0: $i,X1: $i] :
( v2_funct_1(X0)
| ( k1_funct_1(X0,sK432(X1,X0)) = k1_funct_1(X0,sK433(X1,X0)) )
| ~ v1_funct_1(X0)
| ~ m2_relset_1(X0,X1,X1)
| ~ v1_funct_2(X0,X1,X1) ),
inference(cnf_transformation,[],[f13069]) ).
tcf(c_2843,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X1 = X2 )
| ~ v2_funct_1(X0)
| ~ v1_funct_1(X0)
| ~ r2_hidden(X2,X3)
| ~ r2_hidden(X1,X3)
| ~ m2_relset_1(X0,X3,X3)
| ~ v1_funct_2(X0,X3,X3)
| ( k1_funct_1(X0,X1) != k1_funct_1(X0,X2) ) ),
inference(cnf_transformation,[],[f13068]) ).
tcf(c_2849,plain,
! [X0: $i,X1: $i] :
( sP26(np__0,X0)
| ~ v1_funct_1(X0)
| ~ m2_relset_1(X0,np__0,X1)
| ~ v1_funct_2(X0,np__0,X1) ),
inference(cnf_transformation,[],[f15273]) ).
tcf(c_2850,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP26(X1,X0)
| ( X2 = np__0 )
| ~ v1_funct_1(X0)
| ~ m2_relset_1(X0,X1,X2)
| ~ v1_funct_2(X0,X1,X2) ),
inference(cnf_transformation,[],[f14866]) ).
tcf(c_2851,plain,
! [X0: $i,X1: $i,X2: $i] :
( v2_funct_1(X0)
| ~ v1_funct_1(X0)
| ~ m2_relset_1(X0,k2_enumset1(X1,X1,X1,X1),X2) ),
inference(cnf_transformation,[],[f14867]) ).
tcf(c_2852,plain,
! [X0: $i,X1: $i] :
( v2_funct_1(X0)
| ~ v1_funct_1(X0)
| ~ m2_relset_1(X0,X1,np__0) ),
inference(cnf_transformation,[],[f14868]) ).
tcf(c_2853,plain,
! [X0: $i,X1: $i] :
( v2_funct_1(X0)
| ~ v1_funct_1(X0)
| ~ m2_relset_1(X0,np__0,X1) ),
inference(cnf_transformation,[],[f14869]) ).
tcf(c_2854,plain,
v1_relat_1(sK436),
inference(cnf_transformation,[],[f13086]) ).
tcf(c_2855,plain,
v1_funct_1(sK436),
inference(cnf_transformation,[],[f13085]) ).
tcf(c_2856,plain,
v2_funct_1(sK436),
inference(cnf_transformation,[],[f13084]) ).
tcf(c_2857,plain,
v1_xboole_0(sK436),
inference(cnf_transformation,[],[f13083]) ).
tcf(c_2858,plain,
! [X0: $i,X1: $i] :
( v2_funct_1(X0)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0)
| ~ r1_tarski(k10_relat_1(X0,k2_enumset1(sK437(X0),sK437(X0),sK437(X0),sK437(X0))),k2_enumset1(X1,X1,X1,X1)) ),
inference(cnf_transformation,[],[f14870]) ).
tcf(c_2859,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k10_relat_1(X0,k2_enumset1(X1,X1,X1,X1)),k2_enumset1(sK438(X0,X1),sK438(X0,X1),sK438(X0,X1),sK438(X0,X1)))
| ~ v2_funct_1(X0)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0) ),
inference(cnf_transformation,[],[f14871]) ).
tcf(c_2860,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(X1,X2)
| ~ v2_funct_1(X0)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0)
| ~ r1_tarski(X1,k1_relat_1(X0))
| ~ r1_tarski(k9_relat_1(X0,X1),k9_relat_1(X0,X2)) ),
inference(cnf_transformation,[],[f13089]) ).
tcf(c_2861,plain,
! [X0: $i] :
( v2_funct_1(X0)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0)
| ~ r1_tarski(k10_relat_1(X0,k9_relat_1(X0,sK439(X0))),sK439(X0)) ),
inference(cnf_transformation,[],[f13090]) ).
tcf(c_2862,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k10_relat_1(X0,k9_relat_1(X0,X1)),X1)
| ~ v2_funct_1(X0)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0) ),
inference(cnf_transformation,[],[f13091]) ).
tcf(c_2863,plain,
! [X0: $i,X1: $i] :
( ( k2_enumset1(sK440(X1,X0),sK440(X1,X0),sK440(X1,X0),sK440(X1,X0)) = k10_relat_1(X1,k2_enumset1(X0,X0,X0,X0)) )
| ~ v2_funct_1(X1)
| ~ v1_relat_1(X1)
| ~ v1_funct_1(X1)
| ~ r2_hidden(X0,k2_relat_1(X1)) ),
inference(cnf_transformation,[],[f14872]) ).
tcf(c_2864,plain,
! [X0: $i] :
( v2_funct_1(X0)
| r2_hidden(sK441(X0),k2_relat_1(X0))
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0) ),
inference(cnf_transformation,[],[f13093]) ).
tcf(c_2865,plain,
! [X0: $i,X1: $i] :
( v2_funct_1(X0)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0)
| ( k10_relat_1(X0,k2_enumset1(sK441(X0),sK441(X0),sK441(X0),sK441(X0))) != k2_enumset1(X1,X1,X1,X1) ) ),
inference(cnf_transformation,[],[f14873]) ).
tcf(c_2866,plain,
! [X0: $i] :
( v2_funct_1(X0)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0)
| ( k4_xboole_0(k9_relat_1(X0,sK442(X0)),k9_relat_1(X0,sK443(X0))) != k9_relat_1(X0,k4_xboole_0(sK442(X0),sK443(X0))) ) ),
inference(cnf_transformation,[],[f13095]) ).
tcf(c_2867,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k4_xboole_0(k9_relat_1(X0,X1),k9_relat_1(X0,X2)) = k9_relat_1(X0,k4_xboole_0(X1,X2)) )
| ~ v2_funct_1(X0)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0) ),
inference(cnf_transformation,[],[f13096]) ).
tcf(c_2868,plain,
! [X0: $i] :
( v2_funct_1(X0)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0)
| ( k4_xboole_0(k9_relat_1(X0,sK444(X0)),k4_xboole_0(k9_relat_1(X0,sK444(X0)),k9_relat_1(X0,sK445(X0)))) != k9_relat_1(X0,k4_xboole_0(sK444(X0),k4_xboole_0(sK444(X0),sK445(X0)))) ) ),
inference(cnf_transformation,[],[f14874]) ).
tcf(c_2869,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k4_xboole_0(k9_relat_1(X0,X1),k4_xboole_0(k9_relat_1(X0,X1),k9_relat_1(X0,X2))) = k9_relat_1(X0,k4_xboole_0(X1,k4_xboole_0(X1,X2))) )
| ~ v2_funct_1(X0)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0) ),
inference(cnf_transformation,[],[f14875]) ).
tcf(c_2870,plain,
! [X0: $i] :
( v2_funct_1(X0)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0)
| ( sK446(X0) != sK447(X0) ) ),
inference(cnf_transformation,[],[f13103]) ).
tcf(c_2871,plain,
! [X0: $i] :
( v2_funct_1(X0)
| r2_hidden(sK446(X0),k1_relat_1(X0))
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0) ),
inference(cnf_transformation,[],[f13102]) ).
tcf(c_2872,plain,
! [X0: $i] :
( v2_funct_1(X0)
| r2_hidden(sK447(X0),k1_relat_1(X0))
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0) ),
inference(cnf_transformation,[],[f13101]) ).
tcf(c_2873,plain,
! [X0: $i] :
( v2_funct_1(X0)
| ( k1_funct_1(X0,sK446(X0)) = k1_funct_1(X0,sK447(X0)) )
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0) ),
inference(cnf_transformation,[],[f13100]) ).
tcf(c_2874,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X2 )
| ~ v2_funct_1(X0)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0)
| ~ r2_hidden(X2,k1_relat_1(X0))
| ~ r2_hidden(X1,k1_relat_1(X0))
| ( k1_funct_1(X0,X1) != k1_funct_1(X0,X2) ) ),
inference(cnf_transformation,[],[f13099]) ).
tcf(c_2875,plain,
v1_relat_1(sK448),
inference(cnf_transformation,[],[f13106]) ).
tcf(c_2876,plain,
v1_funct_1(sK448),
inference(cnf_transformation,[],[f13105]) ).
tcf(c_2877,plain,
v2_funct_1(sK448),
inference(cnf_transformation,[],[f13104]) ).
tcf(c_2878,plain,
! [X0: $i] :
( v2_funct_1(X0)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0)
| ~ v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f13107]) ).
tcf(c_2879,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X0)
| ~ v13_lattices(X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| ~ v1_filter_0(X1,X0)
| ~ m1_filter_0(X1,X0)
| ~ r2_hidden(k5_lattices(X0),X1) ),
inference(cnf_transformation,[],[f13110]) ).
tcf(c_2880,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_realset2(X1)
| v3_struct_0(X1)
| r2_hidden(X2,k8_funct_2(u1_struct_0(X1),k1_zfmisc_1(k7_lopclset(X1)),k9_lopclset(X1),X0))
| ~ l3_lattices(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| ~ v1_filter_0(X2,X1)
| ~ m1_filter_0(X2,X1)
| ~ r2_hidden(X0,X2)
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f13111]) ).
tcf(c_2883,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v3_realset2(X0)
| v3_struct_0(X0)
| r2_hidden(X2,X3)
| r2_hidden(X1,X3)
| ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| ~ v1_filter_0(X3,X0)
| ~ m1_filter_0(X3,X0)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ r2_hidden(k3_lattices(X0,X1,X2),X3) ),
inference(cnf_transformation,[],[f13112]) ).
tcf(c_2884,plain,
! [X0: $i,X1: $i] :
( v3_realset2(X1)
| v3_struct_0(X1)
| r2_hidden(X0,k7_lopclset(X1))
| ~ l3_lattices(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| ~ v1_filter_0(X0,X1)
| ~ m1_filter_0(X0,X1) ),
inference(cnf_transformation,[],[f15274]) ).
tcf(c_2885,plain,
! [X0: $i,X1: $i] :
( v3_realset2(X1)
| v3_struct_0(X1)
| m1_filter_0(sK449(X0,X1),X1)
| ~ l3_lattices(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| ~ r2_hidden(X0,k7_lopclset(X1)) ),
inference(cnf_transformation,[],[f13117]) ).
tcf(c_2886,plain,
! [X0: $i,X1: $i] :
( v3_realset2(X1)
| v3_struct_0(X1)
| ( sK449(X0,X1) = X0 )
| ~ l3_lattices(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| ~ r2_hidden(X0,k7_lopclset(X1)) ),
inference(cnf_transformation,[],[f13116]) ).
tcf(c_2887,plain,
! [X0: $i,X1: $i] :
( v3_realset2(X1)
| v3_struct_0(X1)
| v1_filter_0(sK449(X0,X1),X1)
| ~ l3_lattices(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| ~ r2_hidden(X0,k7_lopclset(X1)) ),
inference(cnf_transformation,[],[f13115]) ).
tcf(c_2888,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X1)
| v1_filter_0(sK450(X1,X0,X2),X1)
| ( X0 = X2 )
| ~ l3_lattices(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f13124]) ).
tcf(c_2889,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X1)
| r2_hidden(X2,sK450(X1,X0,X2))
| r2_hidden(X0,sK450(X1,X0,X2))
| ( X0 = X2 )
| ~ l3_lattices(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f13122]) ).
tcf(c_2890,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X1)
| ( X0 = X2 )
| ~ l3_lattices(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ r2_hidden(X2,sK450(X1,X0,X2))
| ~ r2_hidden(X0,sK450(X1,X0,X2)) ),
inference(cnf_transformation,[],[f13121]) ).
tcf(c_2891,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X1)
| m1_filter_0(sK450(X1,X0,X2),X1)
| ( X0 = X2 )
| ~ l3_lattices(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f13119]) ).
tcf(c_2893,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X0)
| ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| ~ v1_filter_0(X2,X0)
| ~ m1_filter_0(X2,X0)
| ~ r2_hidden(X1,X2)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ r2_hidden(k7_lattices(X0,X1),X2) ),
inference(cnf_transformation,[],[f13125]) ).
tcf(c_2894,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X0)
| v1_filter_0(X1,X0)
| ( u1_struct_0(X0) = X1 )
| ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| ~ m1_filter_0(X1,X0)
| ~ r2_hidden(sK451(X0,X1),X1) ),
inference(cnf_transformation,[],[f13131]) ).
tcf(c_2895,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X0)
| v1_filter_0(X1,X0)
| ( u1_struct_0(X0) = X1 )
| ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| ~ m1_filter_0(X1,X0)
| ~ r2_hidden(k7_lattices(X0,sK451(X0,X1)),X1) ),
inference(cnf_transformation,[],[f13130]) ).
tcf(c_2896,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| v1_filter_0(X0,X1)
| m1_subset_1(sK451(X1,X0),u1_struct_0(X1))
| ( u1_struct_0(X1) = X0 )
| ~ l3_lattices(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_filter_0(X0,X1) ),
inference(cnf_transformation,[],[f13129]) ).
tcf(c_2897,plain,
! [X0: $i] :
( v3_struct_0(X0)
| ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| ~ v1_filter_0(u1_struct_0(X0),X0)
| ~ m1_filter_0(u1_struct_0(X0),X0) ),
inference(cnf_transformation,[],[f15275]) ).
tcf(c_2898,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X1)
| r2_hidden(X0,X2)
| r2_hidden(k7_lattices(X1,X0),X2)
| ~ l3_lattices(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| ~ v1_filter_0(X2,X1)
| ~ m1_filter_0(X2,X1)
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f13127]) ).
tcf(c_2899,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| r2_hidden(X0,sK452(X1,X0))
| ( k5_lattices(X1) = X0 )
| ~ v13_lattices(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f15416]) ).
tcf(c_2900,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| v1_filter_0(sK452(X1,X0),X1)
| ( k5_lattices(X1) = X0 )
| ~ v13_lattices(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f15417]) ).
tcf(c_2901,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| m1_filter_0(sK452(X1,X0),X1)
| ( k5_lattices(X1) = X0 )
| ~ v13_lattices(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f15418]) ).
tcf(c_2902,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| r1_tarski(X0,sK453(X1,X0))
| ( u1_struct_0(X1) = X0 )
| ~ v13_lattices(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_filter_0(X0,X1) ),
inference(cnf_transformation,[],[f13137]) ).
tcf(c_2903,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| v1_filter_0(sK453(X1,X0),X1)
| ( u1_struct_0(X1) = X0 )
| ~ v13_lattices(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_filter_0(X0,X1) ),
inference(cnf_transformation,[],[f13136]) ).
tcf(c_2904,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| m1_filter_0(sK453(X1,X0),X1)
| ( u1_struct_0(X1) = X0 )
| ~ v13_lattices(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_filter_0(X0,X1) ),
inference(cnf_transformation,[],[f13135]) ).
tcf(c_2905,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X0)
| v1_filter_0(X1,X0)
| ( u1_struct_0(X0) = X1 )
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| ~ m1_filter_0(X1,X0)
| ( sK454(X0,X1) != u1_struct_0(X0) ) ),
inference(cnf_transformation,[],[f13143]) ).
tcf(c_2906,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X0)
| v1_filter_0(X1,X0)
| ( u1_struct_0(X0) = X1 )
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| ~ m1_filter_0(X1,X0)
| ( sK454(X0,X1) != X1 ) ),
inference(cnf_transformation,[],[f13142]) ).
tcf(c_2907,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| v1_filter_0(X0,X1)
| r1_tarski(X0,sK454(X1,X0))
| ( u1_struct_0(X1) = X0 )
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_filter_0(X0,X1) ),
inference(cnf_transformation,[],[f13141]) ).
tcf(c_2908,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| v1_filter_0(X0,X1)
| m1_filter_0(sK454(X1,X0),X1)
| ( u1_struct_0(X1) = X0 )
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_filter_0(X0,X1) ),
inference(cnf_transformation,[],[f13140]) ).
tcf(c_2909,plain,
! [X0: $i] :
( v3_struct_0(X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| ~ v1_filter_0(u1_struct_0(X0),X0)
| ~ m1_filter_0(u1_struct_0(X0),X0) ),
inference(cnf_transformation,[],[f15276]) ).
tcf(c_2910,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X2)
| ( X0 = X1 )
| ( u1_struct_0(X2) = X1 )
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| ~ v1_filter_0(X0,X2)
| ~ m1_filter_0(X1,X2)
| ~ m1_filter_0(X0,X2)
| ~ r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f13138]) ).
tcf(c_2911,plain,
! [X0: $i] :
( v3_realset2(X0)
| v3_struct_0(X0)
| ( k8_funct_2(u1_struct_0(X0),k1_zfmisc_1(k7_lopclset(X0)),k9_lopclset(X0),k6_lattices(X0)) = k7_lopclset(X0) )
| ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0) ),
inference(cnf_transformation,[],[f13144]) ).
tcf(c_2912,plain,
! [X0: $i] :
( v3_realset2(X0)
| v3_struct_0(X0)
| ( k8_funct_2(u1_struct_0(X0),k1_zfmisc_1(k7_lopclset(X0)),k9_lopclset(X0),k5_lattices(X0)) = np__0 )
| ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0) ),
inference(cnf_transformation,[],[f14876]) ).
tcf(c_2913,plain,
! [X0: $i] :
( v3_realset2(X0)
| v3_struct_0(X0)
| v2_funct_1(k9_lopclset(X0))
| ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0) ),
inference(cnf_transformation,[],[f13146]) ).
tcf(c_2914,plain,
! [X0: $i,X1: $i] :
( v3_realset2(X1)
| v3_struct_0(X1)
| ( k4_xboole_0(k7_lopclset(X1),k8_funct_2(u1_struct_0(X1),k1_zfmisc_1(k7_lopclset(X1)),k9_lopclset(X1),X0)) = k8_funct_2(u1_struct_0(X1),k1_zfmisc_1(k7_lopclset(X1)),k9_lopclset(X1),k7_lattices(X1,X0)) )
| ~ l3_lattices(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f13147]) ).
tcf(c_2915,plain,
! [X0: $i] :
( v3_realset2(X0)
| v3_struct_0(X0)
| v1_funct_1(k9_lopclset(X0))
| ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0) ),
inference(cnf_transformation,[],[f13150]) ).
tcf(c_2916,plain,
! [X0: $i] :
( v3_realset2(X0)
| v3_struct_0(X0)
| v1_funct_2(k9_lopclset(X0),u1_struct_0(X0),k1_zfmisc_1(k7_lopclset(X0)))
| ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0) ),
inference(cnf_transformation,[],[f13149]) ).
tcf(c_2917,plain,
! [X0: $i] :
( v3_realset2(X0)
| v3_struct_0(X0)
| m2_relset_1(k9_lopclset(X0),u1_struct_0(X0),k1_zfmisc_1(k7_lopclset(X0)))
| ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0) ),
inference(cnf_transformation,[],[f13148]) ).
tcf(c_2918,plain,
! [X0: $i] :
( v3_realset2(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| ~ v1_xboole_0(k7_lopclset(X0)) ),
inference(cnf_transformation,[],[f13151]) ).
tcf(c_2919,plain,
! [X0: $i] :
( v3_realset2(X0)
| v3_struct_0(X0)
| m1_subset_1(k7_lopclset(X0),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(X0))))
| ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0) ),
inference(cnf_transformation,[],[f13152]) ).
tcf(c_2920,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_xboole_0(X2)
| v3_struct_0(X1)
| r2_hidden(k3_tarski(X0),u1_pre_topc(X1))
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1)
| ~ m1_eqrel_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X0,k1_zfmisc_1(X2))
| ~ r2_hidden(X0,u1_pre_topc(k16_borsuk_1(X1,X2))) ),
inference(cnf_transformation,[],[f13154]) ).
tcf(c_2921,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_xboole_0(X2)
| v3_struct_0(X1)
| r2_hidden(X0,u1_pre_topc(k16_borsuk_1(X1,X2)))
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1)
| ~ m1_eqrel_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X0,k1_zfmisc_1(X2))
| ~ r2_hidden(k3_tarski(X0),u1_pre_topc(X1)) ),
inference(cnf_transformation,[],[f13153]) ).
tcf(c_2922,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( v3_struct_0(X2)
| v3_struct_0(X1)
| ( k8_funct_2(u1_struct_0(X1),u1_struct_0(X2),X0,k6_group_1(X1,X4,X3)) = k6_group_1(X2,X4,k8_funct_2(u1_struct_0(X1),u1_struct_0(X2),X0,X3)) )
| ~ v4_group_1(X2)
| ~ v4_group_1(X1)
| ~ v3_group_1(X2)
| ~ v3_group_1(X1)
| ~ v1_int_1(X4)
| ~ l1_group_1(X2)
| ~ l1_group_1(X1)
| ~ v1_funct_1(X0)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ v1_group_6(X0,X1,X2)
| ~ m2_relset_1(X0,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_2(X0,u1_struct_0(X1),u1_struct_0(X2)) ),
inference(cnf_transformation,[],[f13155]) ).
tcf(c_2923,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( v3_struct_0(X2)
| v3_struct_0(X1)
| ( k8_funct_2(u1_struct_0(X1),u1_struct_0(X2),X0,k6_group_1(X1,X4,X3)) = k6_group_1(X2,X4,k8_funct_2(u1_struct_0(X1),u1_struct_0(X2),X0,X3)) )
| ~ v4_group_1(X2)
| ~ v4_group_1(X1)
| ~ v3_group_1(X2)
| ~ v3_group_1(X1)
| ~ l1_group_1(X2)
| ~ l1_group_1(X1)
| ~ v1_funct_1(X0)
| ~ m2_subset_1(X4,k1_numbers,k5_numbers)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ v1_group_6(X0,X1,X2)
| ~ m2_relset_1(X0,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_2(X0,u1_struct_0(X1),u1_struct_0(X2)) ),
inference(cnf_transformation,[],[f13156]) ).
tcf(c_2924,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X2)
| v3_struct_0(X1)
| ( k8_funct_2(u1_struct_0(X1),u1_struct_0(X2),X0,k2_group_1(X1)) = k2_group_1(X2) )
| ~ v4_group_1(X2)
| ~ v4_group_1(X1)
| ~ v3_group_1(X2)
| ~ v3_group_1(X1)
| ~ l1_group_1(X2)
| ~ l1_group_1(X1)
| ~ v1_funct_1(X0)
| ~ v1_group_6(X0,X1,X2)
| ~ m2_relset_1(X0,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_2(X0,u1_struct_0(X1),u1_struct_0(X2)) ),
inference(cnf_transformation,[],[f13157]) ).
tcf(c_2925,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X1)
| v3_struct_0(X0)
| v1_group_6(X2,X1,X0)
| ~ l1_group_1(X1)
| ~ l1_group_1(X0)
| ~ v1_funct_1(X2)
| ~ m2_relset_1(X2,u1_struct_0(X1),u1_struct_0(X0))
| ~ v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X0))
| ( k1_group_1(X0,k8_funct_2(u1_struct_0(X1),u1_struct_0(X0),X2,sK455(X1,X0,X2)),k8_funct_2(u1_struct_0(X1),u1_struct_0(X0),X2,sK456(X1,X0,X2))) != k8_funct_2(u1_struct_0(X1),u1_struct_0(X0),X2,k1_group_1(X1,sK455(X1,X0,X2),sK456(X1,X0,X2))) ) ),
inference(cnf_transformation,[],[f13161]) ).
tcf(c_2926,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X2)
| v3_struct_0(X1)
| v1_group_6(X0,X1,X2)
| m1_subset_1(sK456(X1,X2,X0),u1_struct_0(X1))
| ~ l1_group_1(X2)
| ~ l1_group_1(X1)
| ~ v1_funct_1(X0)
| ~ m2_relset_1(X0,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_2(X0,u1_struct_0(X1),u1_struct_0(X2)) ),
inference(cnf_transformation,[],[f13160]) ).
tcf(c_2927,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X2)
| v3_struct_0(X1)
| v1_group_6(X0,X1,X2)
| m1_subset_1(sK455(X1,X2,X0),u1_struct_0(X1))
| ~ l1_group_1(X2)
| ~ l1_group_1(X1)
| ~ v1_funct_1(X0)
| ~ m2_relset_1(X0,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_2(X0,u1_struct_0(X1),u1_struct_0(X2)) ),
inference(cnf_transformation,[],[f13159]) ).
tcf(c_2928,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( v3_struct_0(X2)
| v3_struct_0(X1)
| ( k1_group_1(X2,k8_funct_2(u1_struct_0(X1),u1_struct_0(X2),X0,X3),k8_funct_2(u1_struct_0(X1),u1_struct_0(X2),X0,X4)) = k8_funct_2(u1_struct_0(X1),u1_struct_0(X2),X0,k1_group_1(X1,X3,X4)) )
| ~ l1_group_1(X2)
| ~ l1_group_1(X1)
| ~ v1_funct_1(X0)
| ~ m1_subset_1(X4,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ v1_group_6(X0,X1,X2)
| ~ m2_relset_1(X0,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_2(X0,u1_struct_0(X1),u1_struct_0(X2)) ),
inference(cnf_transformation,[],[f13158]) ).
tcf(c_2929,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| v3_struct_0(X0)
| m1_relset_1(sK457(X0,X1),u1_struct_0(X0),u1_struct_0(X1))
| ~ v4_group_1(X1)
| ~ v4_group_1(X0)
| ~ v3_group_1(X1)
| ~ v3_group_1(X0)
| ~ l1_group_1(X1)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f13168]) ).
tcf(c_2930,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| v3_struct_0(X0)
| ~ v4_group_1(X1)
| ~ v4_group_1(X0)
| ~ v3_group_1(X1)
| ~ v3_group_1(X0)
| ~ l1_group_1(X1)
| ~ l1_group_1(X0)
| ~ v1_xboole_0(sK457(X0,X1)) ),
inference(cnf_transformation,[],[f13167]) ).
tcf(c_2931,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| v3_struct_0(X0)
| v1_relat_1(sK457(X0,X1))
| ~ v4_group_1(X1)
| ~ v4_group_1(X0)
| ~ v3_group_1(X1)
| ~ v3_group_1(X0)
| ~ l1_group_1(X1)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f13166]) ).
tcf(c_2932,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| v3_struct_0(X0)
| v1_funct_1(sK457(X0,X1))
| ~ v4_group_1(X1)
| ~ v4_group_1(X0)
| ~ v3_group_1(X1)
| ~ v3_group_1(X0)
| ~ l1_group_1(X1)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f13165]) ).
tcf(c_2933,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| v3_struct_0(X0)
| v1_funct_2(sK457(X0,X1),u1_struct_0(X0),u1_struct_0(X1))
| ~ v4_group_1(X1)
| ~ v4_group_1(X0)
| ~ v3_group_1(X1)
| ~ v3_group_1(X0)
| ~ l1_group_1(X1)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f13164]) ).
tcf(c_2934,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| v3_struct_0(X0)
| v1_partfun1(sK457(X0,X1),u1_struct_0(X0),u1_struct_0(X1))
| ~ v4_group_1(X1)
| ~ v4_group_1(X0)
| ~ v3_group_1(X1)
| ~ v3_group_1(X0)
| ~ l1_group_1(X1)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f13163]) ).
tcf(c_2935,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| v3_struct_0(X0)
| v1_group_6(sK457(X0,X1),X0,X1)
| ~ v4_group_1(X1)
| ~ v4_group_1(X0)
| ~ v3_group_1(X1)
| ~ v3_group_1(X0)
| ~ l1_group_1(X1)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f13162]) ).
tcf(c_2936,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X2)
| v3_struct_0(X1)
| v1_group_1(k13_group_6(X1,X2,X0))
| ~ v4_group_1(X2)
| ~ v4_group_1(X1)
| ~ v3_group_1(X2)
| ~ v3_group_1(X1)
| ~ l1_group_1(X2)
| ~ l1_group_1(X1)
| ~ v1_funct_1(X0)
| ~ v1_group_6(X0,X1,X2)
| ~ m1_relset_1(X0,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_2(X0,u1_struct_0(X1),u1_struct_0(X2)) ),
inference(cnf_transformation,[],[f13170]) ).
tcf(c_2937,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X2)
| v3_struct_0(X1)
| m1_group_2(k13_group_6(X1,X2,X0),X2)
| ~ v4_group_1(X2)
| ~ v4_group_1(X1)
| ~ v3_group_1(X2)
| ~ v3_group_1(X1)
| ~ l1_group_1(X2)
| ~ l1_group_1(X1)
| ~ v1_funct_1(X0)
| ~ v1_group_6(X0,X1,X2)
| ~ m1_relset_1(X0,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_2(X0,u1_struct_0(X1),u1_struct_0(X2)) ),
inference(cnf_transformation,[],[f13169]) ).
tcf(c_2939,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X2)
| v3_struct_0(X1)
| v1_funct_2(X0,u1_struct_0(X1),u1_struct_0(k13_group_6(X1,X2,X0)))
| ~ v4_group_1(X2)
| ~ v4_group_1(X1)
| ~ v3_group_1(X2)
| ~ v3_group_1(X1)
| ~ l1_group_1(X2)
| ~ l1_group_1(X1)
| ~ v1_funct_1(X0)
| ~ v1_group_6(X0,X1,X2)
| ~ m2_relset_1(X0,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_2(X0,u1_struct_0(X1),u1_struct_0(X2)) ),
inference(cnf_transformation,[],[f13174]) ).
tcf(c_2940,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X2)
| v3_struct_0(X1)
| v1_group_6(X0,X1,k13_group_6(X1,X2,X0))
| ~ v4_group_1(X2)
| ~ v4_group_1(X1)
| ~ v3_group_1(X2)
| ~ v3_group_1(X1)
| ~ l1_group_1(X2)
| ~ l1_group_1(X1)
| ~ v1_funct_1(X0)
| ~ v1_group_6(X0,X1,X2)
| ~ m2_relset_1(X0,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_2(X0,u1_struct_0(X1),u1_struct_0(X2)) ),
inference(cnf_transformation,[],[f13173]) ).
tcf(c_2941,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X2)
| v3_struct_0(X1)
| m2_relset_1(X0,u1_struct_0(X1),u1_struct_0(k13_group_6(X1,X2,X0)))
| ~ v4_group_1(X2)
| ~ v4_group_1(X1)
| ~ v3_group_1(X2)
| ~ v3_group_1(X1)
| ~ l1_group_1(X2)
| ~ l1_group_1(X1)
| ~ v1_funct_1(X0)
| ~ v1_group_6(X0,X1,X2)
| ~ m2_relset_1(X0,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_2(X0,u1_struct_0(X1),u1_struct_0(X2)) ),
inference(cnf_transformation,[],[f13172]) ).
tcf(c_2942,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v3_struct_0(X1)
| v3_struct_0(X0)
| ( k13_group_6(X0,X1,X2) = X3 )
| ~ v1_group_1(X3)
| ~ v4_group_1(X1)
| ~ v4_group_1(X0)
| ~ v3_group_1(X1)
| ~ v3_group_1(X0)
| ~ l1_group_1(X1)
| ~ l1_group_1(X0)
| ~ v1_funct_1(X2)
| ~ m1_group_2(X3,X1)
| ~ v1_group_6(X2,X0,X1)
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ( k2_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,u1_struct_0(X0)) != u1_struct_0(X3) ) ),
inference(cnf_transformation,[],[f13177]) ).
tcf(c_2943,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X1)
| v3_struct_0(X0)
| ( k2_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,u1_struct_0(X0)) = u1_struct_0(k13_group_6(X0,X1,X2)) )
| ~ v4_group_1(X1)
| ~ v4_group_1(X0)
| ~ v3_group_1(X1)
| ~ v3_group_1(X0)
| ~ l1_group_1(X1)
| ~ l1_group_1(X0)
| ~ v1_funct_1(X2)
| ~ v1_group_6(X2,X0,X1)
| ~ v1_group_1(k13_group_6(X0,X1,X2))
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ m1_group_2(k13_group_6(X0,X1,X2),X1) ),
inference(cnf_transformation,[],[f15277]) ).
tcf(c_2944,plain,
l1_group_1(sK458),
inference(cnf_transformation,[],[f13183]) ).
tcf(c_2945,plain,
~ v3_struct_0(sK458),
inference(cnf_transformation,[],[f13182]) ).
tcf(c_2946,plain,
v2_group_1(sK458),
inference(cnf_transformation,[],[f13181]) ).
tcf(c_2947,plain,
v3_group_1(sK458),
inference(cnf_transformation,[],[f13180]) ).
tcf(c_2948,plain,
v4_group_1(sK458),
inference(cnf_transformation,[],[f13179]) ).
tcf(c_2949,plain,
v3_realset2(sK458),
inference(cnf_transformation,[],[f13178]) ).
tcf(c_2950,plain,
! [X0: $i] :
( v3_struct_0(X0)
| v1_setwiseo(u1_group_1(X0),u1_struct_0(X0))
| ~ v2_group_1(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f13184]) ).
tcf(c_2951,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X0)
| ( k2_group_1(X0) = X1 )
| ~ v2_group_1(X0)
| ~ l1_group_1(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ( k1_group_1(X0,X1,sK459(X0,X1)) != sK459(X0,X1) )
| ( k1_group_1(X0,sK459(X0,X1),X1) != sK459(X0,X1) ) ),
inference(cnf_transformation,[],[f13188]) ).
tcf(c_2952,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| m1_subset_1(sK459(X1,X0),u1_struct_0(X1))
| ( k2_group_1(X1) = X0 )
| ~ v2_group_1(X1)
| ~ l1_group_1(X1)
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f13187]) ).
tcf(c_2953,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X0)
| ( k1_group_1(X0,X1,k2_group_1(X0)) = X1 )
| ~ v2_group_1(X0)
| ~ l1_group_1(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(k2_group_1(X0),u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f15278]) ).
tcf(c_2954,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X0)
| ( k1_group_1(X0,k2_group_1(X0),X1) = X1 )
| ~ v2_group_1(X0)
| ~ l1_group_1(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(k2_group_1(X0),u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f15279]) ).
tcf(c_2955,plain,
! [X0: $i,X1: $i] :
( v2_group_1(X0)
| v3_struct_0(X0)
| ~ l1_group_1(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ( k1_group_1(X0,X1,sK460(X0,X1)) != sK460(X0,X1) )
| ( k1_group_1(X0,sK460(X0,X1),X1) != sK460(X0,X1) ) ),
inference(cnf_transformation,[],[f13193]) ).
tcf(c_2956,plain,
! [X0: $i,X1: $i] :
( v2_group_1(X1)
| v3_struct_0(X1)
| m1_subset_1(sK460(X1,X0),u1_struct_0(X1))
| ~ l1_group_1(X1)
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f13192]) ).
tcf(c_2957,plain,
! [X0: $i] :
( v3_struct_0(X0)
| m1_subset_1(sK461(X0),u1_struct_0(X0))
| ~ v2_group_1(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f13191]) ).
tcf(c_2958,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| ( k1_group_1(X1,X0,sK461(X1)) = X0 )
| ~ v2_group_1(X1)
| ~ l1_group_1(X1)
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f13190]) ).
tcf(c_2959,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| ( k1_group_1(X1,sK461(X1),X0) = X0 )
| ~ v2_group_1(X1)
| ~ l1_group_1(X1)
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f13189]) ).
tcf(c_2960,plain,
l1_group_1(sK462),
inference(cnf_transformation,[],[f13200]) ).
tcf(c_2961,plain,
~ v3_struct_0(sK462),
inference(cnf_transformation,[],[f13199]) ).
tcf(c_2962,plain,
v1_group_1(sK462),
inference(cnf_transformation,[],[f13198]) ).
tcf(c_2963,plain,
v2_group_1(sK462),
inference(cnf_transformation,[],[f13197]) ).
tcf(c_2964,plain,
v3_group_1(sK462),
inference(cnf_transformation,[],[f13196]) ).
tcf(c_2965,plain,
v4_group_1(sK462),
inference(cnf_transformation,[],[f13195]) ).
tcf(c_2967,plain,
l1_group_1(sK463),
inference(cnf_transformation,[],[f13206]) ).
tcf(c_2968,plain,
~ v3_struct_0(sK463),
inference(cnf_transformation,[],[f13205]) ).
tcf(c_2969,plain,
v1_group_1(sK463),
inference(cnf_transformation,[],[f13204]) ).
tcf(c_2970,plain,
v2_group_1(sK463),
inference(cnf_transformation,[],[f13203]) ).
tcf(c_2971,plain,
v3_group_1(sK463),
inference(cnf_transformation,[],[f13202]) ).
tcf(c_2972,plain,
v4_group_1(sK463),
inference(cnf_transformation,[],[f13201]) ).
tcf(c_2973,plain,
! [X0: $i] :
( v2_group_1(X0)
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f13207]) ).
tcf(c_2974,plain,
! [X0: $i] :
( v1_funct_1(u1_group_1(X0))
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f13211]) ).
tcf(c_2975,plain,
! [X0: $i] :
( v1_funct_2(u1_group_1(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f13210]) ).
tcf(c_2976,plain,
! [X0: $i] :
( m2_relset_1(u1_group_1(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f13209]) ).
tcf(c_2977,plain,
! [X0: $i] :
( v3_struct_0(X0)
| v2_binop_1(u1_group_1(X0),u1_struct_0(X0))
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f13212]) ).
tcf(c_2978,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X1)
| ( k2_binop_1(u1_struct_0(X1),u1_struct_0(X1),u1_struct_0(X1),u1_group_1(X1),X0,X2) = k1_group_1(X1,X0,X2) )
| ~ l1_group_1(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f13213]) ).
tcf(c_2979,plain,
! [X0: $i] :
( v3_struct_0(X0)
| m1_subset_1(k2_group_1(X0),u1_struct_0(X0))
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f13214]) ).
tcf(c_2980,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X0)
| ( k6_group_1(X0,X1,k2_group_1(X0)) = k2_group_1(X0) )
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_int_1(X1)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f13215]) ).
tcf(c_2982,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| ( k6_group_1(X1,np__0,X0) = k2_group_1(X1) )
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ l1_group_1(X1)
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f13217]) ).
tcf(c_2983,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| ( k6_group_1(X1,X0,k2_group_1(X1)) = k2_group_1(X1) )
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ l1_group_1(X1)
| ~ m2_subset_1(X0,k1_numbers,k5_numbers) ),
inference(cnf_transformation,[],[f13218]) ).
tcf(c_2986,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X0)
| ( k3_group_1(X0,X1) = X2 )
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ l1_group_1(X0)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ( k1_group_1(X0,X1,X2) != k2_group_1(X0) ) ),
inference(cnf_transformation,[],[f13220]) ).
tcf(c_2987,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X0)
| ( k3_group_1(X0,X2) = X1 )
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ l1_group_1(X0)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ( k1_group_1(X0,X1,X2) != k2_group_1(X0) ) ),
inference(cnf_transformation,[],[f13219]) ).
tcf(c_2988,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X0)
| ( k2_group_1(X0) = X1 )
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ l1_group_1(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ( k3_group_1(X0,X1) != k2_group_1(X0) ) ),
inference(cnf_transformation,[],[f13223]) ).
tcf(c_2989,plain,
! [X0: $i] :
( v3_struct_0(X0)
| ( k3_group_1(X0,k2_group_1(X0)) = k2_group_1(X0) )
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f13224]) ).
tcf(c_2990,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X0)
| ( k2_group_1(X0) = X2 )
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ l1_group_1(X0)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ( k1_group_1(X0,X1,X2) != X1 ) ),
inference(cnf_transformation,[],[f13226]) ).
tcf(c_2991,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X0)
| ( k2_group_1(X0) = X1 )
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ l1_group_1(X0)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ( k1_group_1(X0,X1,X2) != X2 ) ),
inference(cnf_transformation,[],[f13225]) ).
tcf(c_2994,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X0)
| ( k1_group_1(X0,X1,k3_group_1(X0,X1)) = k2_group_1(X0) )
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ l1_group_1(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(k3_group_1(X0,X1),u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f15281]) ).
tcf(c_2995,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X0)
| ( k1_group_1(X0,k3_group_1(X0,X1),X1) = k2_group_1(X0) )
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ l1_group_1(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(k3_group_1(X0,X1),u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f15282]) ).
tcf(c_2996,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X0)
| ( k2_group_1(X0) = X1 )
| ~ v3_group_1(X0)
| ~ l1_group_1(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ( k1_group_1(X0,X1,sK464(X0,X1)) != sK464(X0,X1) )
| ( k1_group_1(X0,sK464(X0,X1),X1) != sK464(X0,X1) ) ),
inference(cnf_transformation,[],[f13232]) ).
tcf(c_2997,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| m1_subset_1(sK464(X1,X0),u1_struct_0(X1))
| ( k2_group_1(X1) = X0 )
| ~ v3_group_1(X1)
| ~ l1_group_1(X1)
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f13231]) ).
tcf(c_2998,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( v3_struct_0(X4)
| v3_struct_0(X2)
| v3_struct_0(X1)
| v1_funct_1(k7_funct_2(u1_struct_0(X1),u1_struct_0(X2),u1_struct_0(X4),X0,X3))
| ~ v4_group_1(X4)
| ~ v4_group_1(X2)
| ~ v4_group_1(X1)
| ~ v3_group_1(X4)
| ~ v3_group_1(X2)
| ~ v3_group_1(X1)
| ~ l1_group_1(X4)
| ~ l1_group_1(X2)
| ~ l1_group_1(X1)
| ~ v1_funct_1(X3)
| ~ v1_funct_1(X0)
| ~ v1_group_6(X3,X2,X4)
| ~ v1_group_6(X0,X1,X2)
| ~ m2_relset_1(X3,u1_struct_0(X2),u1_struct_0(X4))
| ~ m2_relset_1(X0,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_2(X3,u1_struct_0(X2),u1_struct_0(X4))
| ~ v1_funct_2(X0,u1_struct_0(X1),u1_struct_0(X2)) ),
inference(cnf_transformation,[],[f13236]) ).
tcf(c_2999,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( v3_struct_0(X4)
| v3_struct_0(X2)
| v3_struct_0(X1)
| v1_funct_2(k7_funct_2(u1_struct_0(X1),u1_struct_0(X2),u1_struct_0(X4),X0,X3),u1_struct_0(X1),u1_struct_0(X4))
| ~ v4_group_1(X4)
| ~ v4_group_1(X2)
| ~ v4_group_1(X1)
| ~ v3_group_1(X4)
| ~ v3_group_1(X2)
| ~ v3_group_1(X1)
| ~ l1_group_1(X4)
| ~ l1_group_1(X2)
| ~ l1_group_1(X1)
| ~ v1_funct_1(X3)
| ~ v1_funct_1(X0)
| ~ v1_group_6(X3,X2,X4)
| ~ v1_group_6(X0,X1,X2)
| ~ m2_relset_1(X3,u1_struct_0(X2),u1_struct_0(X4))
| ~ m2_relset_1(X0,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_2(X3,u1_struct_0(X2),u1_struct_0(X4))
| ~ v1_funct_2(X0,u1_struct_0(X1),u1_struct_0(X2)) ),
inference(cnf_transformation,[],[f13235]) ).
tcf(c_3000,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( v3_struct_0(X4)
| v3_struct_0(X2)
| v3_struct_0(X1)
| v1_group_6(k7_funct_2(u1_struct_0(X1),u1_struct_0(X2),u1_struct_0(X4),X0,X3),X1,X4)
| ~ v4_group_1(X4)
| ~ v4_group_1(X2)
| ~ v4_group_1(X1)
| ~ v3_group_1(X4)
| ~ v3_group_1(X2)
| ~ v3_group_1(X1)
| ~ l1_group_1(X4)
| ~ l1_group_1(X2)
| ~ l1_group_1(X1)
| ~ v1_funct_1(X3)
| ~ v1_funct_1(X0)
| ~ v1_group_6(X3,X2,X4)
| ~ v1_group_6(X0,X1,X2)
| ~ m2_relset_1(X3,u1_struct_0(X2),u1_struct_0(X4))
| ~ m2_relset_1(X0,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_2(X3,u1_struct_0(X2),u1_struct_0(X4))
| ~ v1_funct_2(X0,u1_struct_0(X1),u1_struct_0(X2)) ),
inference(cnf_transformation,[],[f13234]) ).
tcf(c_3001,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( v3_struct_0(X4)
| v3_struct_0(X2)
| v3_struct_0(X1)
| m2_relset_1(k7_funct_2(u1_struct_0(X1),u1_struct_0(X2),u1_struct_0(X4),X0,X3),u1_struct_0(X1),u1_struct_0(X4))
| ~ v4_group_1(X4)
| ~ v4_group_1(X2)
| ~ v4_group_1(X1)
| ~ v3_group_1(X4)
| ~ v3_group_1(X2)
| ~ v3_group_1(X1)
| ~ l1_group_1(X4)
| ~ l1_group_1(X2)
| ~ l1_group_1(X1)
| ~ v1_funct_1(X3)
| ~ v1_funct_1(X0)
| ~ v1_group_6(X3,X2,X4)
| ~ v1_group_6(X0,X1,X2)
| ~ m2_relset_1(X3,u1_struct_0(X2),u1_struct_0(X4))
| ~ m2_relset_1(X0,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_2(X3,u1_struct_0(X2),u1_struct_0(X4))
| ~ v1_funct_2(X0,u1_struct_0(X1),u1_struct_0(X2)) ),
inference(cnf_transformation,[],[f13233]) ).
tcf(c_3006,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( v1_xboole_0(X3)
| v1_xboole_0(X1)
| v1_xboole_0(X0)
| sP27(X2,X4,X1,X3,X0)
| ~ v1_funct_1(X4)
| ~ v1_funct_1(X2)
| ~ m2_relset_1(X4,X0,X3)
| ~ m2_relset_1(X2,X0,X1)
| ~ v1_funct_2(X4,X0,X3)
| ~ v1_funct_2(X2,X0,X1)
| ( k8_funct_2(X0,X1,X2,sK466(X0,X3,X1,X4,X2)) != k8_funct_2(X0,X1,X2,sK467(X0,X3,X1,X4,X2)) ) ),
inference(cnf_transformation,[],[f13244]) ).
tcf(c_3007,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( v1_xboole_0(X4)
| v1_xboole_0(X2)
| v1_xboole_0(X1)
| sP27(X3,X0,X4,X2,X1)
| ( k8_funct_2(X1,X2,X0,sK466(X1,X2,X4,X0,X3)) = k8_funct_2(X1,X2,X0,sK467(X1,X2,X4,X0,X3)) )
| ~ v1_funct_1(X3)
| ~ v1_funct_1(X0)
| ~ m2_relset_1(X3,X1,X4)
| ~ m2_relset_1(X0,X1,X2)
| ~ v1_funct_2(X3,X1,X4)
| ~ v1_funct_2(X0,X1,X2) ),
inference(cnf_transformation,[],[f13243]) ).
tcf(c_3008,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( v1_xboole_0(X4)
| v1_xboole_0(X2)
| v1_xboole_0(X1)
| sP27(X3,X0,X4,X2,X1)
| m1_subset_1(sK467(X1,X2,X4,X0,X3),X1)
| ~ v1_funct_1(X3)
| ~ v1_funct_1(X0)
| ~ m2_relset_1(X3,X1,X4)
| ~ m2_relset_1(X0,X1,X2)
| ~ v1_funct_2(X3,X1,X4)
| ~ v1_funct_2(X0,X1,X2) ),
inference(cnf_transformation,[],[f13242]) ).
tcf(c_3009,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( v1_xboole_0(X4)
| v1_xboole_0(X2)
| v1_xboole_0(X1)
| sP27(X3,X0,X4,X2,X1)
| m1_subset_1(sK466(X1,X2,X4,X0,X3),X1)
| ~ v1_funct_1(X3)
| ~ v1_funct_1(X0)
| ~ m2_relset_1(X3,X1,X4)
| ~ m2_relset_1(X0,X1,X2)
| ~ v1_funct_2(X3,X1,X4)
| ~ v1_funct_2(X0,X1,X2) ),
inference(cnf_transformation,[],[f13241]) ).
tcf(c_3011,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( v1_xboole_0(X5)
| v1_xboole_0(X0)
| ( X6 = np__0 )
| ( k7_setwiseo(X5,X0,X1,X6,k7_funct_2(X5,k5_finsub_1(X2),X0,X4,X3)) = k8_funct_2(k5_finsub_1(X2),X0,X3,k10_setwiseo(X5,X2,X6,X4)) )
| ~ v1_funct_1(X4)
| ~ v1_funct_1(X3)
| ~ v1_funct_1(X1)
| ~ v3_binop_1(X1,X0)
| ~ v1_binop_1(X1,X0)
| ~ v2_binop_1(X1,X0)
| ~ m1_subset_1(X6,k5_finsub_1(X5))
| ~ m2_relset_1(X4,X5,k5_finsub_1(X2))
| ~ m2_relset_1(X3,k5_finsub_1(X2),X0)
| ~ v1_funct_2(X4,X5,k5_finsub_1(X2))
| ~ v1_funct_2(X3,k5_finsub_1(X2),X0)
| ~ m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ( k2_binop_1(X0,X0,X0,X1,k8_funct_2(k5_finsub_1(X2),X0,X3,sK468(X0,X2,X1,X3)),k8_funct_2(k5_finsub_1(X2),X0,X3,sK469(X0,X2,X1,X3))) != k8_funct_2(k5_finsub_1(X2),X0,X3,k5_setwiseo(X2,sK468(X0,X2,X1,X3),sK469(X0,X2,X1,X3))) ) ),
inference(cnf_transformation,[],[f14877]) ).
tcf(c_3012,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( v1_xboole_0(X3)
| v1_xboole_0(X1)
| m1_subset_1(sK469(X1,X4,X0,X5),k5_finsub_1(X4))
| ( X6 = np__0 )
| ( k7_setwiseo(X3,X1,X0,X6,k7_funct_2(X3,k5_finsub_1(X4),X1,X2,X5)) = k8_funct_2(k5_finsub_1(X4),X1,X5,k10_setwiseo(X3,X4,X6,X2)) )
| ~ v1_funct_1(X5)
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X0)
| ~ v3_binop_1(X0,X1)
| ~ v1_binop_1(X0,X1)
| ~ v2_binop_1(X0,X1)
| ~ m1_subset_1(X6,k5_finsub_1(X3))
| ~ m2_relset_1(X5,k5_finsub_1(X4),X1)
| ~ m2_relset_1(X2,X3,k5_finsub_1(X4))
| ~ v1_funct_2(X5,k5_finsub_1(X4),X1)
| ~ v1_funct_2(X2,X3,k5_finsub_1(X4))
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1) ),
inference(cnf_transformation,[],[f14878]) ).
tcf(c_3013,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( v1_xboole_0(X3)
| v1_xboole_0(X1)
| m1_subset_1(sK468(X1,X4,X0,X5),k5_finsub_1(X4))
| ( X6 = np__0 )
| ( k7_setwiseo(X3,X1,X0,X6,k7_funct_2(X3,k5_finsub_1(X4),X1,X2,X5)) = k8_funct_2(k5_finsub_1(X4),X1,X5,k10_setwiseo(X3,X4,X6,X2)) )
| ~ v1_funct_1(X5)
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X0)
| ~ v3_binop_1(X0,X1)
| ~ v1_binop_1(X0,X1)
| ~ v2_binop_1(X0,X1)
| ~ m1_subset_1(X6,k5_finsub_1(X3))
| ~ m2_relset_1(X5,k5_finsub_1(X4),X1)
| ~ m2_relset_1(X2,X3,k5_finsub_1(X4))
| ~ v1_funct_2(X5,k5_finsub_1(X4),X1)
| ~ v1_funct_2(X2,X3,k5_finsub_1(X4))
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1) ),
inference(cnf_transformation,[],[f14879]) ).
tcf(c_3014,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( v1_xboole_0(X2)
| ( k7_funct_2(X1,X2,X4,X0,X3) = k5_relat_1(X0,X3) )
| ~ v1_funct_1(X3)
| ~ v1_funct_1(X0)
| ~ m1_relset_1(X3,X2,X4)
| ~ m1_relset_1(X0,X1,X2)
| ~ v1_funct_2(X3,X2,X4)
| ~ v1_funct_2(X0,X1,X2) ),
inference(cnf_transformation,[],[f13249]) ).
tcf(c_3015,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( v1_xboole_0(X2)
| v1_funct_1(k7_funct_2(X1,X2,X4,X0,X3))
| ~ v1_funct_1(X3)
| ~ v1_funct_1(X0)
| ~ m1_relset_1(X3,X2,X4)
| ~ m1_relset_1(X0,X1,X2)
| ~ v1_funct_2(X3,X2,X4)
| ~ v1_funct_2(X0,X1,X2) ),
inference(cnf_transformation,[],[f13252]) ).
tcf(c_3016,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( v1_xboole_0(X2)
| v1_funct_2(k7_funct_2(X1,X2,X4,X0,X3),X1,X4)
| ~ v1_funct_1(X3)
| ~ v1_funct_1(X0)
| ~ m1_relset_1(X3,X2,X4)
| ~ m1_relset_1(X0,X1,X2)
| ~ v1_funct_2(X3,X2,X4)
| ~ v1_funct_2(X0,X1,X2) ),
inference(cnf_transformation,[],[f13251]) ).
tcf(c_3017,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( v1_xboole_0(X2)
| m2_relset_1(k7_funct_2(X1,X2,X4,X0,X3),X1,X4)
| ~ v1_funct_1(X3)
| ~ v1_funct_1(X0)
| ~ m1_relset_1(X3,X2,X4)
| ~ m1_relset_1(X0,X1,X2)
| ~ v1_funct_2(X3,X2,X4)
| ~ v1_funct_2(X0,X1,X2) ),
inference(cnf_transformation,[],[f13250]) ).
tcf(c_3018,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( v1_xboole_0(X3)
| v1_xboole_0(X1)
| m1_subset_1(k7_setwiseo(X3,X1,X0,X4,X2),X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X0)
| ~ m1_subset_1(X4,k5_finsub_1(X3))
| ~ m1_relset_1(X2,X3,X1)
| ~ v1_funct_2(X2,X3,X1)
| ~ m1_relset_1(X0,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1) ),
inference(cnf_transformation,[],[f13253]) ).
tcf(c_3019,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( v1_xboole_0(X3)
| v1_xboole_0(X1)
| ( k7_setwiseo(X3,X1,X0,k2_setwiseo(X3,X4),X2) = k8_funct_2(X3,X1,X2,X4) )
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X0)
| ~ v1_binop_1(X0,X1)
| ~ v2_binop_1(X0,X1)
| ~ m1_subset_1(X4,X3)
| ~ m2_relset_1(X2,X3,X1)
| ~ v1_funct_2(X2,X3,X1)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1) ),
inference(cnf_transformation,[],[f13254]) ).
tcf(c_3020,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(X1)
| ( k2_enumset1(X0,X0,X0,X0) = k2_setwiseo(X1,X0) )
| ~ m1_subset_1(X0,X1) ),
inference(cnf_transformation,[],[f14880]) ).
tcf(c_3021,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(X1)
| m1_subset_1(k2_setwiseo(X1,X0),k5_finsub_1(X1))
| ~ m1_subset_1(X0,X1) ),
inference(cnf_transformation,[],[f13256]) ).
tcf(c_3022,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k5_setwiseo(X1,X0,X2) = k3_tarski(k2_tarski(X0,X2)) )
| ~ m1_subset_1(X2,k5_finsub_1(X1))
| ~ m1_subset_1(X0,k5_finsub_1(X1)) ),
inference(cnf_transformation,[],[f14881]) ).
tcf(c_3023,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k5_setwiseo(X1,X0,X0) = X0 )
| ~ m1_subset_1(X2,k5_finsub_1(X1))
| ~ m1_subset_1(X0,k5_finsub_1(X1)) ),
inference(cnf_transformation,[],[f13258]) ).
tcf(c_3024,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k5_setwiseo(X1,X0,X2) = k5_setwiseo(X1,X2,X0) )
| ~ m1_subset_1(X2,k5_finsub_1(X1))
| ~ m1_subset_1(X0,k5_finsub_1(X1)) ),
inference(cnf_transformation,[],[f13259]) ).
tcf(c_3025,plain,
! [X0: $i,X1: $i,X2: $i] :
( m1_subset_1(k5_setwiseo(X1,X0,X2),k5_finsub_1(X1))
| ~ m1_subset_1(X2,k5_finsub_1(X1))
| ~ m1_subset_1(X0,k5_finsub_1(X1)) ),
inference(cnf_transformation,[],[f13260]) ).
tcf(c_3026,plain,
! [X0: $i] :
( v11_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0)
| ( k1_lattices(X0,k2_lattices(X0,sK470(X0),sK471(X0)),k2_lattices(X0,sK470(X0),sK472(X0))) != k2_lattices(X0,sK470(X0),k1_lattices(X0,sK471(X0),sK472(X0))) ) ),
inference(cnf_transformation,[],[f13265]) ).
tcf(c_3027,plain,
! [X0: $i] :
( v11_lattices(X0)
| v3_struct_0(X0)
| m1_subset_1(sK472(X0),u1_struct_0(X0))
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f13264]) ).
tcf(c_3028,plain,
! [X0: $i] :
( v11_lattices(X0)
| v3_struct_0(X0)
| m1_subset_1(sK471(X0),u1_struct_0(X0))
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f13263]) ).
tcf(c_3029,plain,
! [X0: $i] :
( v11_lattices(X0)
| v3_struct_0(X0)
| m1_subset_1(sK470(X0),u1_struct_0(X0))
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f13262]) ).
tcf(c_3030,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v3_struct_0(X1)
| ( k1_lattices(X1,k2_lattices(X1,X0,X2),k2_lattices(X1,X0,X3)) = k2_lattices(X1,X0,k1_lattices(X1,X2,X3)) )
| ~ v11_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f13261]) ).
tcf(c_3031,plain,
! [X0: $i] :
( v9_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0)
| ( k2_lattices(X0,sK473(X0),k1_lattices(X0,sK473(X0),sK474(X0))) != sK473(X0) ) ),
inference(cnf_transformation,[],[f13269]) ).
tcf(c_3032,plain,
! [X0: $i] :
( v9_lattices(X0)
| v3_struct_0(X0)
| m1_subset_1(sK474(X0),u1_struct_0(X0))
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f13268]) ).
tcf(c_3033,plain,
! [X0: $i] :
( v9_lattices(X0)
| v3_struct_0(X0)
| m1_subset_1(sK473(X0),u1_struct_0(X0))
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f13267]) ).
tcf(c_3034,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X1)
| ( k2_lattices(X1,X0,k1_lattices(X1,X0,X2)) = X0 )
| ~ v9_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f13266]) ).
tcf(c_3035,plain,
! [X0: $i] :
( v8_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0)
| ( k1_lattices(X0,k2_lattices(X0,sK475(X0),sK476(X0)),sK476(X0)) != sK476(X0) ) ),
inference(cnf_transformation,[],[f13273]) ).
tcf(c_3036,plain,
! [X0: $i] :
( v8_lattices(X0)
| v3_struct_0(X0)
| m1_subset_1(sK476(X0),u1_struct_0(X0))
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f13272]) ).
tcf(c_3037,plain,
! [X0: $i] :
( v8_lattices(X0)
| v3_struct_0(X0)
| m1_subset_1(sK475(X0),u1_struct_0(X0))
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f13271]) ).
tcf(c_3038,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X1)
| ( k1_lattices(X1,k2_lattices(X1,X0,X2),X2) = X2 )
| ~ v8_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f13270]) ).
tcf(c_3039,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( v1_xboole_0(X1)
| ( k2_funct_2(X0,X1,X2,X3) = k2_funct_2(X0,X1,X4,X3) )
| ~ v1_funct_1(X4)
| ~ v1_funct_1(X2)
| ~ m1_subset_1(X3,k5_finsub_1(X0))
| ~ m2_relset_1(X4,X0,X1)
| ~ m2_relset_1(X2,X0,X1)
| ~ v1_funct_2(X4,X0,X1)
| ~ v1_funct_2(X2,X0,X1)
| ( k2_partfun1(X0,X1,X2,X3) != k2_partfun1(X0,X1,X4,X3) ) ),
inference(cnf_transformation,[],[f13274]) ).
tcf(c_3040,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( v1_xboole_0(X4)
| ( k1_funct_4(X2,k2_partfun1(X1,X4,X0,X3)) = X2 )
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X0)
| ~ m1_subset_1(X3,k5_finsub_1(X1))
| ~ m2_relset_1(X2,X1,X4)
| ~ m2_relset_1(X0,X1,X4)
| ~ v1_funct_2(X2,X1,X4)
| ~ v1_funct_2(X0,X1,X4)
| ( k1_funct_1(X0,sK477(X1,X0,X2,X3)) != k1_funct_1(X2,sK477(X1,X0,X2,X3)) ) ),
inference(cnf_transformation,[],[f13277]) ).
tcf(c_3041,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( v1_xboole_0(X2)
| r2_hidden(sK477(X1,X0,X3,X4),X4)
| ( k1_funct_4(X3,k2_partfun1(X1,X2,X0,X4)) = X3 )
| ~ v1_funct_1(X3)
| ~ v1_funct_1(X0)
| ~ m1_subset_1(X4,k5_finsub_1(X1))
| ~ m2_relset_1(X3,X1,X2)
| ~ m2_relset_1(X0,X1,X2)
| ~ v1_funct_2(X3,X1,X2)
| ~ v1_funct_2(X0,X1,X2) ),
inference(cnf_transformation,[],[f13276]) ).
tcf(c_3042,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( v1_xboole_0(X2)
| m1_subset_1(sK477(X1,X0,X3,X4),X1)
| ( k1_funct_4(X3,k2_partfun1(X1,X2,X0,X4)) = X3 )
| ~ v1_funct_1(X3)
| ~ v1_funct_1(X0)
| ~ m1_subset_1(X4,k5_finsub_1(X1))
| ~ m2_relset_1(X3,X1,X2)
| ~ m2_relset_1(X0,X1,X2)
| ~ v1_funct_2(X3,X1,X2)
| ~ v1_funct_2(X0,X1,X2) ),
inference(cnf_transformation,[],[f13275]) ).
tcf(c_3043,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v1_xboole_0(X2)
| ( k1_relat_1(k2_partfun1(X1,X2,X0,X3)) = X3 )
| ~ v1_funct_1(X0)
| ~ m1_subset_1(X3,k5_finsub_1(X1))
| ~ m2_relset_1(X0,X1,X2)
| ~ v1_funct_2(X0,X1,X2) ),
inference(cnf_transformation,[],[f13278]) ).
tcf(c_3044,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( v1_xboole_0(X2)
| ( k1_funct_4(k2_partfun1(X1,X2,X0,X4),X3) = X3 )
| ~ v1_funct_1(X3)
| ~ v1_funct_1(X0)
| ~ m1_subset_1(X4,k5_finsub_1(X1))
| ~ m2_relset_1(X3,X1,X2)
| ~ m2_relset_1(X0,X1,X2)
| ~ v1_funct_2(X3,X1,X2)
| ~ v1_funct_2(X0,X1,X2) ),
inference(cnf_transformation,[],[f13279]) ).
tcf(c_3045,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( v1_xboole_0(X4)
| ( k1_funct_4(X3,k2_partfun1(X1,X4,X0,X2)) = X3 )
| ~ v1_funct_1(X3)
| ~ v1_funct_1(X0)
| ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| ~ m2_relset_1(X3,X1,X4)
| ~ m2_relset_1(X0,X1,X4)
| ~ v1_funct_2(X3,X1,X4)
| ~ v1_funct_2(X0,X1,X4)
| ( k1_funct_1(X0,sK478(X1,X2,X0,X3)) != k1_funct_1(X3,sK478(X1,X2,X0,X3)) ) ),
inference(cnf_transformation,[],[f13282]) ).
tcf(c_3046,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( v1_xboole_0(X2)
| r2_hidden(sK478(X1,X4,X0,X3),X4)
| ( k1_funct_4(X3,k2_partfun1(X1,X2,X0,X4)) = X3 )
| ~ v1_funct_1(X3)
| ~ v1_funct_1(X0)
| ~ m1_subset_1(X4,k1_zfmisc_1(X1))
| ~ m2_relset_1(X3,X1,X2)
| ~ m2_relset_1(X0,X1,X2)
| ~ v1_funct_2(X3,X1,X2)
| ~ v1_funct_2(X0,X1,X2) ),
inference(cnf_transformation,[],[f13281]) ).
tcf(c_3047,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( v1_xboole_0(X2)
| m1_subset_1(sK478(X1,X4,X0,X3),X1)
| ( k1_funct_4(X3,k2_partfun1(X1,X2,X0,X4)) = X3 )
| ~ v1_funct_1(X3)
| ~ v1_funct_1(X0)
| ~ m1_subset_1(X4,k1_zfmisc_1(X1))
| ~ m2_relset_1(X3,X1,X2)
| ~ m2_relset_1(X0,X1,X2)
| ~ v1_funct_2(X3,X1,X2)
| ~ v1_funct_2(X0,X1,X2) ),
inference(cnf_transformation,[],[f13280]) ).
tcf(c_3048,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v1_xboole_0(X2)
| ( k1_funct_4(X0,k2_partfun1(X1,X2,X0,X3)) = X0 )
| ~ v1_funct_1(X0)
| ~ m1_subset_1(X3,k1_zfmisc_1(X1))
| ~ m2_relset_1(X0,X1,X2)
| ~ v1_funct_2(X0,X1,X2) ),
inference(cnf_transformation,[],[f13283]) ).
tcf(c_3049,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( v1_xboole_0(X2)
| ( k1_funct_4(k2_partfun1(X1,X2,X0,X4),X3) = X3 )
| ~ v1_funct_1(X3)
| ~ v1_funct_1(X0)
| ~ m1_subset_1(X4,k1_zfmisc_1(X1))
| ~ m2_relset_1(X3,X1,X2)
| ~ m2_relset_1(X0,X1,X2)
| ~ v1_funct_2(X3,X1,X2)
| ~ v1_funct_2(X0,X1,X2) ),
inference(cnf_transformation,[],[f13284]) ).
tcf(c_3050,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( v1_xboole_0(X2)
| v1_funct_1(k1_funct_4(X0,k2_partfun1(X1,X2,X3,X4)))
| ~ v1_funct_1(X3)
| ~ v1_funct_1(X0)
| ~ m2_relset_1(X3,X1,X2)
| ~ m2_relset_1(X0,X1,X2)
| ~ v1_funct_2(X3,X1,X2)
| ~ v1_funct_2(X0,X1,X2) ),
inference(cnf_transformation,[],[f13287]) ).
tcf(c_3051,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( v1_xboole_0(X2)
| v1_funct_2(k1_funct_4(X0,k2_partfun1(X1,X2,X3,X4)),X1,X2)
| ~ v1_funct_1(X3)
| ~ v1_funct_1(X0)
| ~ m2_relset_1(X3,X1,X2)
| ~ m2_relset_1(X0,X1,X2)
| ~ v1_funct_2(X3,X1,X2)
| ~ v1_funct_2(X0,X1,X2) ),
inference(cnf_transformation,[],[f13286]) ).
tcf(c_3052,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( v1_xboole_0(X2)
| m2_relset_1(k1_funct_4(X0,k2_partfun1(X1,X2,X3,X4)),X1,X2)
| ~ v1_funct_1(X3)
| ~ v1_funct_1(X0)
| ~ m2_relset_1(X3,X1,X2)
| ~ m2_relset_1(X0,X1,X2)
| ~ v1_funct_2(X3,X1,X2)
| ~ v1_funct_2(X0,X1,X2) ),
inference(cnf_transformation,[],[f13285]) ).
tcf(c_3053,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( v1_xboole_0(X4)
| ( k2_partfun1(X1,X4,X0,X2) = k2_partfun1(X1,X4,X3,X2) )
| ~ v1_funct_1(X3)
| ~ v1_funct_1(X0)
| ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| ~ m2_relset_1(X3,X1,X4)
| ~ m2_relset_1(X0,X1,X4)
| ~ v1_funct_2(X3,X1,X4)
| ~ v1_funct_2(X0,X1,X4)
| ( k1_funct_1(X0,sK479(X1,X2,X0,X3)) != k1_funct_1(X3,sK479(X1,X2,X0,X3)) ) ),
inference(cnf_transformation,[],[f13291]) ).
tcf(c_3054,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( v1_xboole_0(X2)
| r2_hidden(sK479(X1,X4,X0,X3),X4)
| ( k2_partfun1(X1,X2,X0,X4) = k2_partfun1(X1,X2,X3,X4) )
| ~ v1_funct_1(X3)
| ~ v1_funct_1(X0)
| ~ m1_subset_1(X4,k1_zfmisc_1(X1))
| ~ m2_relset_1(X3,X1,X2)
| ~ m2_relset_1(X0,X1,X2)
| ~ v1_funct_2(X3,X1,X2)
| ~ v1_funct_2(X0,X1,X2) ),
inference(cnf_transformation,[],[f13290]) ).
tcf(c_3055,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( v1_xboole_0(X2)
| m1_subset_1(sK479(X1,X4,X0,X3),X1)
| ( k2_partfun1(X1,X2,X0,X4) = k2_partfun1(X1,X2,X3,X4) )
| ~ v1_funct_1(X3)
| ~ v1_funct_1(X0)
| ~ m1_subset_1(X4,k1_zfmisc_1(X1))
| ~ m2_relset_1(X3,X1,X2)
| ~ m2_relset_1(X0,X1,X2)
| ~ v1_funct_2(X3,X1,X2)
| ~ v1_funct_2(X0,X1,X2) ),
inference(cnf_transformation,[],[f13289]) ).
tcf(c_3056,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( v1_xboole_0(X1)
| ( k1_funct_1(X2,X5) = k1_funct_1(X4,X5) )
| ~ v1_funct_1(X4)
| ~ v1_funct_1(X2)
| ~ r2_hidden(X5,X3)
| ~ m1_subset_1(X5,X0)
| ~ m1_subset_1(X3,k1_zfmisc_1(X0))
| ~ m2_relset_1(X4,X0,X1)
| ~ m2_relset_1(X2,X0,X1)
| ~ v1_funct_2(X4,X0,X1)
| ~ v1_funct_2(X2,X0,X1)
| ( k2_partfun1(X0,X1,X2,X3) != k2_partfun1(X0,X1,X4,X3) ) ),
inference(cnf_transformation,[],[f13288]) ).
tcf(c_3057,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v1_xboole_0(X2)
| ( k1_relat_1(k2_partfun1(X1,X2,X0,X3)) = X3 )
| ~ v1_funct_1(X0)
| ~ m1_subset_1(X3,k1_zfmisc_1(X1))
| ~ m2_relset_1(X0,X1,X2)
| ~ v1_funct_2(X0,X1,X2) ),
inference(cnf_transformation,[],[f13292]) ).
tcf(c_3058,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( v1_xboole_0(X1)
| v1_funct_1(k2_partfun1(X0,X1,X2,X3))
| ~ v1_funct_1(X2)
| ~ r1_tarski(X3,X0)
| ~ m2_relset_1(X2,X0,X1)
| ~ v1_funct_2(X2,X0,X1)
| ~ r1_tarski(k2_funct_2(X0,X1,X2,X3),X4) ),
inference(cnf_transformation,[],[f13295]) ).
tcf(c_3059,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( v1_xboole_0(X1)
| v1_funct_2(k2_partfun1(X0,X1,X2,X3),X3,X4)
| ~ v1_funct_1(X2)
| ~ r1_tarski(X3,X0)
| ~ m2_relset_1(X2,X0,X1)
| ~ v1_funct_2(X2,X0,X1)
| ~ r1_tarski(k2_funct_2(X0,X1,X2,X3),X4) ),
inference(cnf_transformation,[],[f13294]) ).
tcf(c_3060,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( v1_xboole_0(X1)
| m2_relset_1(k2_partfun1(X0,X1,X2,X3),X3,X4)
| ~ v1_funct_1(X2)
| ~ r1_tarski(X3,X0)
| ~ m2_relset_1(X2,X0,X1)
| ~ v1_funct_2(X2,X0,X1)
| ~ r1_tarski(k2_funct_2(X0,X1,X2,X3),X4) ),
inference(cnf_transformation,[],[f13293]) ).
tcf(c_3061,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( k2_partfun1(X1,X2,X0,X3) = X0 )
| ~ v1_funct_1(X0)
| ~ r1_tarski(X1,X3)
| ~ m2_relset_1(X0,X1,X2)
| ~ v1_funct_2(X0,X1,X2) ),
inference(cnf_transformation,[],[f13296]) ).
tcf(c_3063,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v1_funct_2(k2_partfun1(X1,X2,X0,X3),X3,X2)
| ( X2 = np__0 )
| ~ v1_funct_1(X0)
| ~ r1_tarski(X3,X1)
| ~ m2_relset_1(X0,X1,X2)
| ~ v1_funct_2(X0,X1,X2) ),
inference(cnf_transformation,[],[f14883]) ).
tcf(c_3064,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( m2_relset_1(k2_partfun1(X1,X2,X0,X3),X3,X2)
| ( X2 = np__0 )
| ~ v1_funct_1(X0)
| ~ r1_tarski(X3,X1)
| ~ m2_relset_1(X0,X1,X2)
| ~ v1_funct_2(X0,X1,X2) ),
inference(cnf_transformation,[],[f14884]) ).
tcf(c_3065,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_funct_1(k2_partfun1(np__0,X1,X0,X2))
| ~ v1_funct_1(X0)
| ~ r1_tarski(X2,np__0)
| ~ m2_relset_1(X0,np__0,X1)
| ~ v1_funct_2(X0,np__0,X1) ),
inference(cnf_transformation,[],[f15283]) ).
tcf(c_3066,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_funct_2(k2_partfun1(np__0,X1,X0,X2),X2,X1)
| ~ v1_funct_1(X0)
| ~ r1_tarski(X2,np__0)
| ~ m2_relset_1(X0,np__0,X1)
| ~ v1_funct_2(X0,np__0,X1) ),
inference(cnf_transformation,[],[f15284]) ).
tcf(c_3067,plain,
! [X0: $i,X1: $i,X2: $i] :
( m2_relset_1(k2_partfun1(np__0,X1,X0,X2),X2,X1)
| ~ v1_funct_1(X0)
| ~ r1_tarski(X2,np__0)
| ~ m2_relset_1(X0,np__0,X1)
| ~ v1_funct_2(X0,np__0,X1) ),
inference(cnf_transformation,[],[f15285]) ).
tcf(c_3068,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( k2_partfun1(X1,X2,X0,X3) = k7_relat_1(X0,X3) )
| ~ v1_funct_1(X0)
| ~ m1_relset_1(X0,X1,X2) ),
inference(cnf_transformation,[],[f13303]) ).
tcf(c_3069,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v1_funct_1(k2_partfun1(X1,X2,X0,X3))
| ~ v1_funct_1(X0)
| ~ m1_relset_1(X0,X1,X2) ),
inference(cnf_transformation,[],[f13305]) ).
tcf(c_3070,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( m2_relset_1(k2_partfun1(X1,X2,X0,X3),X1,X2)
| ~ v1_funct_1(X0)
| ~ m1_relset_1(X0,X1,X2) ),
inference(cnf_transformation,[],[f13304]) ).
tcf(c_3071,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( k2_partfun1(X1,X2,k3_partfun1(X0,X1,X2),X3) = k3_partfun1(X0,k4_xboole_0(X1,k4_xboole_0(X1,X3)),X2) )
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0) ),
inference(cnf_transformation,[],[f14888]) ).
tcf(c_3072,plain,
l3_vectsp_1(sK480),
inference(cnf_transformation,[],[f13307]) ).
tcf(c_3073,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( v1_realset1(X1)
| v3_vectsp_1(k1_realset2(X1,X3,X4,X2,X0))
| ~ v1_funct_1(X4)
| ~ v1_funct_1(X3)
| ~ m1_subset_1(X2,X1)
| ~ m1_relset_1(X4,k2_zfmisc_1(X1,X1),X1)
| ~ m1_relset_1(X3,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X4,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
| ~ m1_subset_1(X0,k4_xboole_0(X1,k5_realset1(X1,X2))) ),
inference(cnf_transformation,[],[f13310]) ).
tcf(c_3074,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( v1_realset1(X0)
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X1)
| ~ m1_subset_1(X3,X0)
| ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ m1_subset_1(X4,k4_xboole_0(X0,k5_realset1(X0,X3)))
| ~ v3_realset2(k1_realset2(X0,X1,X2,X3,X4)) ),
inference(cnf_transformation,[],[f13309]) ).
tcf(c_3075,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( v1_realset1(X1)
| l3_vectsp_1(k1_realset2(X1,X3,X4,X2,X0))
| ~ v1_funct_1(X4)
| ~ v1_funct_1(X3)
| ~ m1_subset_1(X2,X1)
| ~ m1_relset_1(X4,k2_zfmisc_1(X1,X1),X1)
| ~ m1_relset_1(X3,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X4,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
| ~ m1_subset_1(X0,k4_xboole_0(X1,k5_realset1(X1,X2))) ),
inference(cnf_transformation,[],[f13308]) ).
tcf(c_3076,plain,
! [X0: $i] :
( v3_realset2(X0)
| v1_realset1(u1_struct_0(X0))
| ( k1_realset2(u1_struct_0(X0),u1_rlvect_1(X0),u1_group_1(X0),u2_struct_0(X0),u1_vectsp_1(X0)) = X0 )
| ~ v3_vectsp_1(X0)
| ~ l3_vectsp_1(X0)
| ~ v1_funct_1(u1_rlvect_1(X0))
| ~ v1_funct_1(u1_group_1(X0))
| ~ m1_subset_1(u2_struct_0(X0),u1_struct_0(X0))
| ~ m2_relset_1(u1_rlvect_1(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ m2_relset_1(u1_group_1(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ v1_funct_2(u1_rlvect_1(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ v1_funct_2(u1_group_1(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ m1_subset_1(u1_vectsp_1(X0),k4_xboole_0(u1_struct_0(X0),k5_realset1(u1_struct_0(X0),u2_struct_0(X0)))) ),
inference(cnf_transformation,[],[f15290]) ).
tcf(c_3077,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( v1_realset1(X0)
| v3_realset2(k1_realset2(X0,X1,X2,X3,X4))
| ( u1_struct_0(k1_realset2(X0,X1,X2,X3,X4)) = X0 )
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X1)
| ~ m1_subset_1(X3,X0)
| ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ m1_subset_1(X4,k4_xboole_0(X0,k5_realset1(X0,X3)))
| ~ v3_vectsp_1(k1_realset2(X0,X1,X2,X3,X4))
| ~ l3_vectsp_1(k1_realset2(X0,X1,X2,X3,X4)) ),
inference(cnf_transformation,[],[f15291]) ).
tcf(c_3078,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( v1_realset1(X0)
| v3_realset2(k1_realset2(X0,X1,X2,X3,X4))
| ( u1_rlvect_1(k1_realset2(X0,X1,X2,X3,X4)) = X1 )
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X1)
| ~ m1_subset_1(X3,X0)
| ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ m1_subset_1(X4,k4_xboole_0(X0,k5_realset1(X0,X3)))
| ~ v3_vectsp_1(k1_realset2(X0,X1,X2,X3,X4))
| ~ l3_vectsp_1(k1_realset2(X0,X1,X2,X3,X4)) ),
inference(cnf_transformation,[],[f15292]) ).
tcf(c_3079,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( v1_realset1(X0)
| v3_realset2(k1_realset2(X0,X1,X2,X3,X4))
| ( u1_group_1(k1_realset2(X0,X1,X2,X3,X4)) = X2 )
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X1)
| ~ m1_subset_1(X3,X0)
| ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ m1_subset_1(X4,k4_xboole_0(X0,k5_realset1(X0,X3)))
| ~ v3_vectsp_1(k1_realset2(X0,X1,X2,X3,X4))
| ~ l3_vectsp_1(k1_realset2(X0,X1,X2,X3,X4)) ),
inference(cnf_transformation,[],[f15293]) ).
tcf(c_3080,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( v1_realset1(X0)
| v3_realset2(k1_realset2(X0,X1,X2,X3,X4))
| ( u2_struct_0(k1_realset2(X0,X1,X2,X3,X4)) = X3 )
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X1)
| ~ m1_subset_1(X3,X0)
| ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ m1_subset_1(X4,k4_xboole_0(X0,k5_realset1(X0,X3)))
| ~ v3_vectsp_1(k1_realset2(X0,X1,X2,X3,X4))
| ~ l3_vectsp_1(k1_realset2(X0,X1,X2,X3,X4)) ),
inference(cnf_transformation,[],[f15294]) ).
tcf(c_3081,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( v1_realset1(X0)
| v3_realset2(k1_realset2(X0,X1,X2,X3,X4))
| ( u1_vectsp_1(k1_realset2(X0,X1,X2,X3,X4)) = X4 )
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X1)
| ~ m1_subset_1(X3,X0)
| ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ m1_subset_1(X4,k4_xboole_0(X0,k5_realset1(X0,X3)))
| ~ v3_vectsp_1(k1_realset2(X0,X1,X2,X3,X4))
| ~ l3_vectsp_1(k1_realset2(X0,X1,X2,X3,X4)) ),
inference(cnf_transformation,[],[f15295]) ).
tcf(c_3082,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k9_relat_1(X1,X0),X2)
| ~ v1_relat_1(X1)
| ~ v1_funct_1(X1)
| ~ r1_tarski(X0,k10_relat_1(X1,X2)) ),
inference(cnf_transformation,[],[f13317]) ).
tcf(c_3083,plain,
! [X0: $i,X1: $i] :
( v1_finset_1(k10_relat_1(X0,X1))
| ~ v1_finset_1(X0)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0) ),
inference(cnf_transformation,[],[f13318]) ).
tcf(c_3084,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k9_relat_1(X0,k4_xboole_0(X1,k10_relat_1(X0,X2))) = k4_xboole_0(k9_relat_1(X0,X1),X2) )
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0) ),
inference(cnf_transformation,[],[f13319]) ).
tcf(c_3085,plain,
! [X0: $i,X1: $i] :
( v1_finset_1(X0)
| ~ v1_relat_1(X1)
| ~ v1_funct_1(X1)
| ~ v1_finset_1(k10_relat_1(X1,X0))
| ~ r1_tarski(X0,k2_relat_1(X1)) ),
inference(cnf_transformation,[],[f13320]) ).
tcf(c_3086,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_tarski(k10_relat_1(X0,X3),X1)
| ~ v1_funct_1(X0)
| ~ m2_relset_1(X0,X1,X2) ),
inference(cnf_transformation,[],[f13321]) ).
tcf(c_3087,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( r2_hidden(X1,k10_relat_1(X0,X2))
| ( X4 = np__0 )
| ~ v1_funct_1(X0)
| ~ r2_hidden(X1,X3)
| ~ m2_relset_1(X0,X3,X4)
| ~ v1_funct_2(X0,X3,X4)
| ~ r2_hidden(k1_funct_1(X0,X1),X2) ),
inference(cnf_transformation,[],[f14889]) ).
tcf(c_3088,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( r2_hidden(X0,X3)
| ( X4 = np__0 )
| ~ v1_funct_1(X1)
| ~ m2_relset_1(X1,X3,X4)
| ~ v1_funct_2(X1,X3,X4)
| ~ r2_hidden(X0,k10_relat_1(X1,X2)) ),
inference(cnf_transformation,[],[f14890]) ).
tcf(c_3089,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( r2_hidden(k1_funct_1(X1,X0),X2)
| ( X4 = np__0 )
| ~ v1_funct_1(X1)
| ~ m2_relset_1(X1,X3,X4)
| ~ v1_funct_2(X1,X3,X4)
| ~ r2_hidden(X0,k10_relat_1(X1,X2)) ),
inference(cnf_transformation,[],[f14891]) ).
tcf(c_3090,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k10_relat_1(X0,X2) = np__0 )
| ~ v1_funct_1(X0)
| ~ m2_relset_1(X0,X1,np__0) ),
inference(cnf_transformation,[],[f14892]) ).
tcf(c_3091,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k10_relat_1(X0,X2) = np__0 )
| ~ v1_funct_1(X0)
| ~ m2_relset_1(X0,np__0,X1) ),
inference(cnf_transformation,[],[f14893]) ).
tcf(c_3092,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X2 )
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0)
| ~ r1_tarski(X2,k2_relat_1(X0))
| ~ r1_tarski(X1,k2_relat_1(X0))
| ( k10_relat_1(X0,X1) != k10_relat_1(X0,X2) ) ),
inference(cnf_transformation,[],[f13327]) ).
tcf(c_3093,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(X1,X2)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0)
| ~ r1_tarski(X1,k2_relat_1(X0))
| ~ r1_tarski(k10_relat_1(X0,X1),k10_relat_1(X0,X2)) ),
inference(cnf_transformation,[],[f13328]) ).
tcf(c_3094,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k4_xboole_0(X1,k4_xboole_0(X1,k10_relat_1(X0,X2))),k10_relat_1(X0,k4_xboole_0(k9_relat_1(X0,X1),k4_xboole_0(k9_relat_1(X0,X1),X2))))
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f14894]) ).
tcf(c_3095,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k4_xboole_0(k9_relat_1(X0,X1),k4_xboole_0(k9_relat_1(X0,X1),X2)) = k9_relat_1(X0,k4_xboole_0(X1,k4_xboole_0(X1,k10_relat_1(X0,X2)))) )
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0) ),
inference(cnf_transformation,[],[f14895]) ).
tcf(c_3096,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k9_relat_1(X0,k4_xboole_0(X1,k4_xboole_0(X1,k10_relat_1(X0,X2)))),k4_xboole_0(k9_relat_1(X0,X1),k4_xboole_0(k9_relat_1(X0,X1),X2)))
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0) ),
inference(cnf_transformation,[],[f14896]) ).
tcf(c_3097,plain,
! [X0: $i,X1: $i] :
( ( k4_xboole_0(X1,k4_xboole_0(X1,k9_relat_1(X0,k1_relat_1(X0)))) = k9_relat_1(X0,k10_relat_1(X0,X1)) )
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0) ),
inference(cnf_transformation,[],[f14897]) ).
tcf(c_3098,plain,
! [X0: $i,X1: $i] :
( ( k9_relat_1(X1,k10_relat_1(X1,X0)) = X0 )
| ~ v1_relat_1(X1)
| ~ v1_funct_1(X1)
| ~ r1_tarski(X0,k2_relat_1(X1)) ),
inference(cnf_transformation,[],[f13333]) ).
tcf(c_3099,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,k10_relat_1(X1,k9_relat_1(X1,X0)))
| ~ v1_relat_1(X1)
| ~ r1_tarski(X0,k1_relat_1(X1)) ),
inference(cnf_transformation,[],[f13334]) ).
tcf(c_3100,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k9_relat_1(X0,k10_relat_1(X0,X1)),X1)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0) ),
inference(cnf_transformation,[],[f13335]) ).
tcf(c_3101,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X1,k2_relat_1(X0))
| r2_hidden(sK481(X1,X0),X1)
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f13337]) ).
tcf(c_3102,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X1,k2_relat_1(X0))
| ( k10_relat_1(X0,k2_enumset1(sK481(X1,X0),sK481(X1,X0),sK481(X1,X0),sK481(X1,X0))) = np__0 )
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f14898]) ).
tcf(c_3103,plain,
! [X0: $i,X1: $i] :
( r2_hidden(X1,k2_relat_1(X0))
| ( k10_relat_1(X0,k2_enumset1(X1,X1,X1,X1)) = np__0 )
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f14899]) ).
tcf(c_3104,plain,
! [X0: $i,X1: $i] :
( ~ v1_relat_1(X0)
| ~ r2_hidden(X1,k2_relat_1(X0))
| ( k10_relat_1(X0,k2_enumset1(X1,X1,X1,X1)) != np__0 ) ),
inference(cnf_transformation,[],[f14900]) ).
tcf(c_3105,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k4_xboole_0(k10_relat_1(X0,X1),k10_relat_1(X0,X2)) = k10_relat_1(X0,k4_xboole_0(X1,X2)) )
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0) ),
inference(cnf_transformation,[],[f13340]) ).
tcf(c_3106,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k4_xboole_0(k10_relat_1(X0,X1),k4_xboole_0(k10_relat_1(X0,X1),k10_relat_1(X0,X2))) = k10_relat_1(X0,k4_xboole_0(X1,k4_xboole_0(X1,X2))) )
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0) ),
inference(cnf_transformation,[],[f14901]) ).
tcf(c_3107,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k10_relat_1(X0,X1) = X2 )
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0)
| ~ r2_hidden(sK482(X0,X1,X2),X2)
| ~ r2_hidden(sK482(X0,X1,X2),k1_relat_1(X0))
| ~ r2_hidden(k1_funct_1(X0,sK482(X0,X1,X2)),X1) ),
inference(cnf_transformation,[],[f13347]) ).
tcf(c_3108,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(sK482(X0,X1,X2),X2)
| r2_hidden(sK482(X0,X1,X2),k1_relat_1(X0))
| ( k10_relat_1(X0,X1) = X2 )
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0) ),
inference(cnf_transformation,[],[f13346]) ).
tcf(c_3109,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(sK482(X0,X1,X2),X2)
| r2_hidden(k1_funct_1(X0,sK482(X0,X1,X2)),X1)
| ( k10_relat_1(X0,X1) = X2 )
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0) ),
inference(cnf_transformation,[],[f13345]) ).
tcf(c_3110,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(X1,k10_relat_1(X0,X2))
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0)
| ~ r2_hidden(X1,k1_relat_1(X0))
| ~ r2_hidden(k1_funct_1(X0,X1),X2) ),
inference(cnf_transformation,[],[f15296]) ).
tcf(c_3111,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(X0,k1_relat_1(X1))
| ~ v1_relat_1(X1)
| ~ v1_funct_1(X1)
| ~ r2_hidden(X0,k10_relat_1(X1,X2)) ),
inference(cnf_transformation,[],[f15297]) ).
tcf(c_3112,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(k1_funct_1(X1,X0),X2)
| ~ v1_relat_1(X1)
| ~ v1_funct_1(X1)
| ~ r2_hidden(X0,k10_relat_1(X1,X2)) ),
inference(cnf_transformation,[],[f15298]) ).
tcf(c_3113,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_tarski(k10_relat_1(X2,X0),k10_relat_1(X3,X1))
| ~ v1_relat_1(X3)
| ~ v1_relat_1(X2)
| ~ r1_tarski(X2,X3)
| ~ r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f13348]) ).
tcf(c_3114,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k10_relat_1(X0,X2),k10_relat_1(X1,X2))
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0)
| ~ r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f13349]) ).
tcf(c_3115,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k10_relat_1(X2,X0),k10_relat_1(X2,X1))
| ~ v1_relat_1(X2)
| ~ r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f13350]) ).
tcf(c_3116,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k4_xboole_0(k10_relat_1(X0,X1),k10_relat_1(X0,X2)),k10_relat_1(X0,k4_xboole_0(X1,X2)))
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f13351]) ).
tcf(c_3117,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k10_relat_1(X0,k4_xboole_0(X1,k4_xboole_0(X1,X2))),k4_xboole_0(k10_relat_1(X0,X1),k4_xboole_0(k10_relat_1(X0,X1),k10_relat_1(X0,X2))))
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f14902]) ).
tcf(c_3118,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k3_tarski(k2_tarski(k10_relat_1(X0,X1),k10_relat_1(X0,X2))) = k10_relat_1(X0,k3_tarski(k2_tarski(X1,X2))) )
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f14903]) ).
tcf(c_3119,plain,
! [X0: $i,X1: $i] :
( ( X1 = np__0 )
| ~ v1_relat_1(X0)
| ~ r1_tarski(X1,k2_relat_1(X0))
| ( k10_relat_1(X0,X1) != np__0 ) ),
inference(cnf_transformation,[],[f14904]) ).
tcf(c_3120,plain,
! [X0: $i] : k10_relat_1(np__0,X0) = np__0,
inference(cnf_transformation,[],[f14905]) ).
tcf(c_3121,plain,
! [X0: $i] :
( ( k10_relat_1(X0,np__0) = np__0 )
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f14906]) ).
tcf(c_3122,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k10_relat_1(X0,X1),k10_relat_1(X0,k2_relat_1(X0)))
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f13357]) ).
tcf(c_3123,plain,
! [X0: $i] :
( ( k10_relat_1(X0,k2_relat_1(X0)) = k1_relat_1(X0) )
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f13358]) ).
tcf(c_3124,plain,
! [X0: $i,X1: $i] :
( ( k10_relat_1(X0,k4_xboole_0(k2_relat_1(X0),k4_xboole_0(k2_relat_1(X0),X1))) = k10_relat_1(X0,X1) )
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f14907]) ).
tcf(c_3125,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k10_relat_1(X0,X1),k1_relat_1(X0))
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f13360]) ).
tcf(c_3126,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r2_hidden(X0,k10_relat_1(X2,X3))
| ~ v1_relat_1(X2)
| ~ r2_hidden(X1,X3)
| ~ r2_hidden(X1,k2_relat_1(X2))
| ~ r2_hidden(k2_tarski(k2_tarski(X0,X1),k2_enumset1(X0,X0,X0,X0)),X2) ),
inference(cnf_transformation,[],[f14908]) ).
tcf(c_3127,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(sK483(X0,X2,X1),k2_relat_1(X1))
| ~ v1_relat_1(X1)
| ~ r2_hidden(X0,k10_relat_1(X1,X2)) ),
inference(cnf_transformation,[],[f13363]) ).
tcf(c_3128,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(k2_tarski(k2_tarski(X0,sK483(X0,X2,X1)),k2_enumset1(X0,X0,X0,X0)),X1)
| ~ v1_relat_1(X1)
| ~ r2_hidden(X0,k10_relat_1(X1,X2)) ),
inference(cnf_transformation,[],[f14909]) ).
tcf(c_3129,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(sK483(X0,X2,X1),X2)
| ~ v1_relat_1(X1)
| ~ r2_hidden(X0,k10_relat_1(X1,X2)) ),
inference(cnf_transformation,[],[f13361]) ).
tcf(c_3130,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( k10_relat_1(X0,X1) = X2 )
| ~ v1_relat_1(X0)
| ~ r2_hidden(X3,X1)
| ~ r2_hidden(sK484(X0,X1,X2),X2)
| ~ r2_hidden(k2_tarski(k2_tarski(sK484(X0,X1,X2),X3),k2_enumset1(sK484(X0,X1,X2),sK484(X0,X1,X2),sK484(X0,X1,X2),sK484(X0,X1,X2))),X0) ),
inference(cnf_transformation,[],[f14910]) ).
tcf(c_3131,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(sK484(X0,X1,X2),X2)
| r2_hidden(k2_tarski(k2_tarski(sK484(X0,X1,X2),sK485(X0,X1,X2)),k2_enumset1(sK484(X0,X1,X2),sK484(X0,X1,X2),sK484(X0,X1,X2),sK484(X0,X1,X2))),X0)
| ( k10_relat_1(X0,X1) = X2 )
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f14911]) ).
tcf(c_3132,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(sK485(X0,X1,X2),X1)
| r2_hidden(sK484(X0,X1,X2),X2)
| ( k10_relat_1(X0,X1) = X2 )
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f13368]) ).
tcf(c_3133,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r2_hidden(X0,k10_relat_1(X2,X3))
| ~ v1_relat_1(X2)
| ~ r2_hidden(X1,X3)
| ~ r2_hidden(k2_tarski(k2_tarski(X0,X1),k2_enumset1(X0,X0,X0,X0)),X2) ),
inference(cnf_transformation,[],[f15299]) ).
tcf(c_3134,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(k2_tarski(k2_tarski(X0,sK486(X1,X2,X0)),k2_enumset1(X0,X0,X0,X0)),X1)
| ~ v1_relat_1(X1)
| ~ r2_hidden(X0,k10_relat_1(X1,X2)) ),
inference(cnf_transformation,[],[f15300]) ).
tcf(c_3135,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(sK486(X1,X2,X0),X2)
| ~ v1_relat_1(X1)
| ~ r2_hidden(X0,k10_relat_1(X1,X2)) ),
inference(cnf_transformation,[],[f15301]) ).
tcf(c_3137,plain,
! [X0: $i,X1: $i] :
( v1_finset_1(k9_relat_1(X0,X1))
| ~ v1_finset_1(X1)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0) ),
inference(cnf_transformation,[],[f13372]) ).
tcf(c_3138,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_tarski(k9_relat_1(X0,X3),X2)
| ~ v1_funct_1(X0)
| ~ m2_relset_1(X0,X1,X2)
| ~ v1_funct_2(X0,X1,X2) ),
inference(cnf_transformation,[],[f13373]) ).
tcf(c_3139,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( r2_hidden(k1_funct_1(X0,X3),k9_relat_1(X0,X4))
| ( X2 = np__0 )
| ~ v1_funct_1(X0)
| ~ r2_hidden(X3,X4)
| ~ r2_hidden(X3,X1)
| ~ m2_relset_1(X0,X1,X2)
| ~ v1_funct_2(X0,X1,X2) ),
inference(cnf_transformation,[],[f15302]) ).
tcf(c_3140,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_tarski(k9_relat_1(X0,X3),k2_enumset1(k1_funct_1(X0,X1),k1_funct_1(X0,X1),k1_funct_1(X0,X1),k1_funct_1(X0,X1)))
| ~ v1_funct_1(X0)
| ~ m2_relset_1(X0,k2_enumset1(X1,X1,X1,X1),X2) ),
inference(cnf_transformation,[],[f14915]) ).
tcf(c_3141,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k9_relat_1(X0,X2) = np__0 )
| ~ v1_funct_1(X0)
| ~ m2_relset_1(X0,X1,np__0) ),
inference(cnf_transformation,[],[f14916]) ).
tcf(c_3142,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k9_relat_1(X0,X2) = np__0 )
| ~ v1_funct_1(X0)
| ~ m2_relset_1(X0,np__0,X1) ),
inference(cnf_transformation,[],[f14917]) ).
tcf(c_3143,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k9_relat_1(X0,X1) = k2_relat_1(X0) )
| ~ v1_funct_1(X0)
| ~ m2_relset_1(X0,X1,X2) ),
inference(cnf_transformation,[],[f13378]) ).
tcf(c_3144,plain,
! [X0: $i,X1: $i] :
( ( k2_enumset1(k1_funct_1(X1,X0),k1_funct_1(X1,X0),k1_funct_1(X1,X0),k1_funct_1(X1,X0)) = k9_relat_1(X1,k2_enumset1(X0,X0,X0,X0)) )
| ~ v1_relat_1(X1)
| ~ v1_funct_1(X1)
| ~ r2_hidden(X0,k1_relat_1(X1)) ),
inference(cnf_transformation,[],[f14918]) ).
tcf(c_3145,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( k9_relat_1(X0,X1) = X2 )
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0)
| ~ r2_hidden(X3,X1)
| ~ r2_hidden(X3,k1_relat_1(X0))
| ~ r2_hidden(sK487(X0,X1,X2),X2)
| ( sK487(X0,X1,X2) != k1_funct_1(X0,X3) ) ),
inference(cnf_transformation,[],[f13387]) ).
tcf(c_3146,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(sK487(X0,X1,X2),X2)
| r2_hidden(sK488(X0,X1,X2),k1_relat_1(X0))
| ( k9_relat_1(X0,X1) = X2 )
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0) ),
inference(cnf_transformation,[],[f13386]) ).
tcf(c_3147,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(sK488(X0,X1,X2),X1)
| r2_hidden(sK487(X0,X1,X2),X2)
| ( k9_relat_1(X0,X1) = X2 )
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0) ),
inference(cnf_transformation,[],[f13385]) ).
tcf(c_3148,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(sK487(X0,X1,X2),X2)
| ( k9_relat_1(X0,X1) = X2 )
| ( k1_funct_1(X0,sK488(X0,X1,X2)) = sK487(X0,X1,X2) )
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0) ),
inference(cnf_transformation,[],[f13384]) ).
tcf(c_3149,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(k1_funct_1(X1,X0),k9_relat_1(X1,X2))
| ~ v1_relat_1(X1)
| ~ v1_funct_1(X1)
| ~ r2_hidden(X0,X2)
| ~ r2_hidden(X0,k1_relat_1(X1)) ),
inference(cnf_transformation,[],[f15304]) ).
tcf(c_3150,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(sK489(X1,X2,X0),k1_relat_1(X1))
| ~ v1_relat_1(X1)
| ~ v1_funct_1(X1)
| ~ r2_hidden(X0,k9_relat_1(X1,X2)) ),
inference(cnf_transformation,[],[f15305]) ).
tcf(c_3151,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(sK489(X1,X2,X0),X2)
| ~ v1_relat_1(X1)
| ~ v1_funct_1(X1)
| ~ r2_hidden(X0,k9_relat_1(X1,X2)) ),
inference(cnf_transformation,[],[f15306]) ).
tcf(c_3152,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k1_funct_1(X1,sK489(X1,X2,X0)) = X0 )
| ~ v1_relat_1(X1)
| ~ v1_funct_1(X1)
| ~ r2_hidden(X0,k9_relat_1(X1,X2)) ),
inference(cnf_transformation,[],[f15307]) ).
tcf(c_3153,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_tarski(k9_relat_1(X2,X0),k9_relat_1(X3,X1))
| ~ v1_relat_1(X3)
| ~ v1_relat_1(X2)
| ~ r1_tarski(X2,X3)
| ~ r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f13388]) ).
tcf(c_3154,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k9_relat_1(X0,X2),k9_relat_1(X1,X2))
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0)
| ~ r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f13389]) ).
tcf(c_3155,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k9_relat_1(X2,X0),k9_relat_1(X2,X1))
| ~ v1_relat_1(X2)
| ~ r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f13390]) ).
tcf(c_3156,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k4_xboole_0(k9_relat_1(X0,X1),k9_relat_1(X0,X2)),k9_relat_1(X0,k4_xboole_0(X1,X2)))
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f13391]) ).
tcf(c_3157,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k9_relat_1(X0,k4_xboole_0(X1,k4_xboole_0(X1,X2))),k4_xboole_0(k9_relat_1(X0,X1),k4_xboole_0(k9_relat_1(X0,X1),k9_relat_1(X0,X2))))
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f14919]) ).
tcf(c_3158,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k3_tarski(k2_tarski(k9_relat_1(X0,X1),k9_relat_1(X0,X2))) = k9_relat_1(X0,k3_tarski(k2_tarski(X1,X2))) )
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f14920]) ).
tcf(c_3159,plain,
! [X0: $i,X1: $i] :
( ( X1 = np__0 )
| ~ v1_relat_1(X0)
| ~ r1_tarski(X1,k1_relat_1(X0))
| ( k9_relat_1(X0,X1) != np__0 ) ),
inference(cnf_transformation,[],[f14921]) ).
tcf(c_3160,plain,
! [X0: $i] : k9_relat_1(np__0,X0) = np__0,
inference(cnf_transformation,[],[f14922]) ).
tcf(c_3161,plain,
! [X0: $i] :
( ( k9_relat_1(X0,np__0) = np__0 )
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f14923]) ).
tcf(c_3162,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k9_relat_1(X0,X1),k9_relat_1(X0,k1_relat_1(X0)))
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f13397]) ).
tcf(c_3163,plain,
! [X0: $i] :
( ( k9_relat_1(X0,k1_relat_1(X0)) = k2_relat_1(X0) )
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f13398]) ).
tcf(c_3164,plain,
! [X0: $i,X1: $i] :
( ( k9_relat_1(X0,k4_xboole_0(k1_relat_1(X0),k4_xboole_0(k1_relat_1(X0),X1))) = k9_relat_1(X0,X1) )
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f14924]) ).
tcf(c_3165,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k9_relat_1(X0,X1),k2_relat_1(X0))
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f13400]) ).
tcf(c_3166,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r2_hidden(X1,k9_relat_1(X2,X3))
| ~ v1_relat_1(X2)
| ~ r2_hidden(X0,X3)
| ~ r2_hidden(X0,k1_relat_1(X2))
| ~ r2_hidden(k2_tarski(k2_tarski(X0,X1),k2_enumset1(X0,X0,X0,X0)),X2) ),
inference(cnf_transformation,[],[f14925]) ).
tcf(c_3167,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(sK490(X0,X2,X1),k1_relat_1(X1))
| ~ v1_relat_1(X1)
| ~ r2_hidden(X0,k9_relat_1(X1,X2)) ),
inference(cnf_transformation,[],[f13403]) ).
tcf(c_3168,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(k2_tarski(k2_tarski(sK490(X0,X2,X1),X0),k2_enumset1(sK490(X0,X2,X1),sK490(X0,X2,X1),sK490(X0,X2,X1),sK490(X0,X2,X1))),X1)
| ~ v1_relat_1(X1)
| ~ r2_hidden(X0,k9_relat_1(X1,X2)) ),
inference(cnf_transformation,[],[f14926]) ).
tcf(c_3169,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(sK490(X0,X2,X1),X2)
| ~ v1_relat_1(X1)
| ~ r2_hidden(X0,k9_relat_1(X1,X2)) ),
inference(cnf_transformation,[],[f13401]) ).
tcf(c_3170,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( k9_relat_1(X1,X2) = X3 )
| ~ v1_relat_1(X1)
| ~ r2_hidden(X0,X2)
| ~ r2_hidden(sK491(X1,X2,X3),X3)
| ~ r2_hidden(k2_tarski(k2_tarski(X0,sK491(X1,X2,X3)),k2_enumset1(X0,X0,X0,X0)),X1) ),
inference(cnf_transformation,[],[f14927]) ).
tcf(c_3171,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(sK491(X0,X1,X2),X2)
| r2_hidden(k2_tarski(k2_tarski(sK492(X0,X1,X2),sK491(X0,X1,X2)),k2_enumset1(sK492(X0,X1,X2),sK492(X0,X1,X2),sK492(X0,X1,X2),sK492(X0,X1,X2))),X0)
| ( k9_relat_1(X0,X1) = X2 )
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f14928]) ).
tcf(c_3172,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(sK492(X0,X1,X2),X1)
| r2_hidden(sK491(X0,X1,X2),X2)
| ( k9_relat_1(X0,X1) = X2 )
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f13408]) ).
tcf(c_3173,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r2_hidden(X1,k9_relat_1(X2,X3))
| ~ v1_relat_1(X2)
| ~ r2_hidden(X0,X3)
| ~ r2_hidden(k2_tarski(k2_tarski(X0,X1),k2_enumset1(X0,X0,X0,X0)),X2) ),
inference(cnf_transformation,[],[f15308]) ).
tcf(c_3174,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(k2_tarski(k2_tarski(sK493(X1,X2,X0),X0),k2_enumset1(sK493(X1,X2,X0),sK493(X1,X2,X0),sK493(X1,X2,X0),sK493(X1,X2,X0))),X1)
| ~ v1_relat_1(X1)
| ~ r2_hidden(X0,k9_relat_1(X1,X2)) ),
inference(cnf_transformation,[],[f15309]) ).
tcf(c_3175,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(sK493(X1,X2,X0),X2)
| ~ v1_relat_1(X1)
| ~ r2_hidden(X0,k9_relat_1(X1,X2)) ),
inference(cnf_transformation,[],[f15310]) ).
tcf(c_3176,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v1_xboole_0(X1)
| v1_xboole_0(X0)
| ( X3 = np__0 )
| ~ v1_funct_1(X2)
| ~ m1_subset_1(X3,k5_finsub_1(X0))
| ~ m2_relset_1(X2,X0,X1)
| ~ v1_funct_2(X2,X0,X1)
| ( k2_funct_2(X0,X1,X2,X3) != np__0 ) ),
inference(cnf_transformation,[],[f14931]) ).
tcf(c_3177,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( v1_xboole_0(X1)
| v1_xboole_0(X0)
| r1_tarski(k2_funct_2(X0,X1,X2,X3),X4)
| ~ v1_funct_1(X2)
| ~ m1_subset_1(X3,k5_finsub_1(X0))
| ~ m2_relset_1(X2,X0,X1)
| ~ v1_funct_2(X2,X0,X1)
| ~ r2_hidden(k8_funct_2(X0,X1,X2,sK494(X0,X1,X3,X4,X2)),X4) ),
inference(cnf_transformation,[],[f13414]) ).
tcf(c_3178,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( v1_xboole_0(X2)
| v1_xboole_0(X1)
| r1_tarski(k2_funct_2(X1,X2,X0,X3),X4)
| r2_hidden(sK494(X1,X2,X3,X4,X0),X3)
| ~ v1_funct_1(X0)
| ~ m1_subset_1(X3,k5_finsub_1(X1))
| ~ m2_relset_1(X0,X1,X2)
| ~ v1_funct_2(X0,X1,X2) ),
inference(cnf_transformation,[],[f13413]) ).
tcf(c_3179,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( v1_xboole_0(X2)
| v1_xboole_0(X1)
| r1_tarski(k2_funct_2(X1,X2,X0,X3),X4)
| m1_subset_1(sK494(X1,X2,X3,X4,X0),X1)
| ~ v1_funct_1(X0)
| ~ m1_subset_1(X3,k5_finsub_1(X1))
| ~ m2_relset_1(X0,X1,X2)
| ~ v1_funct_2(X0,X1,X2) ),
inference(cnf_transformation,[],[f13412]) ).
tcf(c_3180,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v1_xboole_0(X2)
| v1_xboole_0(X1)
| ( k2_enumset1(k8_funct_2(X1,X2,X0,X3),k8_funct_2(X1,X2,X0,X3),k8_funct_2(X1,X2,X0,X3),k8_funct_2(X1,X2,X0,X3)) = k2_funct_2(X1,X2,X0,k2_enumset1(X3,X3,X3,X3)) )
| ~ v1_funct_1(X0)
| ~ m1_subset_1(X3,X1)
| ~ m2_relset_1(X0,X1,X2)
| ~ v1_funct_2(X0,X1,X2) ),
inference(cnf_transformation,[],[f14932]) ).
tcf(c_3181,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v1_xboole_0(X2)
| ( k2_funct_2(X1,X2,X0,k3_tarski(X3)) = k3_tarski(k9_relat_1(k1_funct_3(X0),X3)) )
| ~ v1_funct_1(X0)
| ~ r1_tarski(X3,k1_zfmisc_1(X1))
| ~ m2_relset_1(X0,X1,X2)
| ~ v1_funct_2(X0,X1,X2) ),
inference(cnf_transformation,[],[f13416]) ).
tcf(c_3182,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( k2_funct_2(X1,X2,X0,X3) = k9_relat_1(X0,X3) )
| ~ v1_funct_1(X0)
| ~ m1_relset_1(X0,X1,X2)
| ~ v1_funct_2(X0,X1,X2) ),
inference(cnf_transformation,[],[f13417]) ).
tcf(c_3183,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( m1_subset_1(k2_funct_2(X1,X2,X0,X3),k1_zfmisc_1(X2))
| ~ v1_funct_1(X0)
| ~ m1_relset_1(X0,X1,X2)
| ~ v1_funct_2(X0,X1,X2) ),
inference(cnf_transformation,[],[f13418]) ).
tcf(c_3184,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( r2_hidden(sK495(X1,X4,X3,X0),X4)
| ~ v1_funct_1(X3)
| ~ m2_relset_1(X3,X1,X2)
| ~ v1_funct_2(X3,X1,X2)
| ~ r2_hidden(X0,k2_funct_2(X1,X2,X3,X4)) ),
inference(cnf_transformation,[],[f13421]) ).
tcf(c_3185,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( k1_funct_1(X3,sK495(X1,X4,X3,X0)) = X0 )
| ~ v1_funct_1(X3)
| ~ m2_relset_1(X3,X1,X2)
| ~ v1_funct_2(X3,X1,X2)
| ~ r2_hidden(X0,k2_funct_2(X1,X2,X3,X4)) ),
inference(cnf_transformation,[],[f13420]) ).
tcf(c_3186,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( m1_subset_1(sK495(X1,X4,X3,X0),X1)
| ~ v1_funct_1(X3)
| ~ m2_relset_1(X3,X1,X2)
| ~ v1_funct_2(X3,X1,X2)
| ~ r2_hidden(X0,k2_funct_2(X1,X2,X3,X4)) ),
inference(cnf_transformation,[],[f13419]) ).
tcf(c_3187,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( r2_hidden(sK496(X1,X4,X3,X0),X1)
| ~ v1_funct_1(X3)
| ~ m2_relset_1(X3,X1,X2)
| ~ v1_funct_2(X3,X1,X2)
| ~ r2_hidden(X0,k2_funct_2(X1,X2,X3,X4)) ),
inference(cnf_transformation,[],[f13424]) ).
tcf(c_3188,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( r2_hidden(sK496(X1,X4,X3,X0),X4)
| ~ v1_funct_1(X3)
| ~ m2_relset_1(X3,X1,X2)
| ~ v1_funct_2(X3,X1,X2)
| ~ r2_hidden(X0,k2_funct_2(X1,X2,X3,X4)) ),
inference(cnf_transformation,[],[f13423]) ).
tcf(c_3189,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( k1_funct_1(X3,sK496(X1,X4,X3,X0)) = X0 )
| ~ v1_funct_1(X3)
| ~ m2_relset_1(X3,X1,X2)
| ~ v1_funct_2(X3,X1,X2)
| ~ r2_hidden(X0,k2_funct_2(X1,X2,X3,X4)) ),
inference(cnf_transformation,[],[f13422]) ).
tcf(c_3190,plain,
! [X0: $i,X1: $i] :
( ( k2_funct_2(X1,X1,X0,X1) = k2_relat_1(X0) )
| ~ v1_funct_1(X0)
| ~ m2_relset_1(X0,X1,X1)
| ~ v1_funct_2(X0,X1,X1) ),
inference(cnf_transformation,[],[f13425]) ).
tcf(c_3191,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_tarski(k2_funct_2(k2_enumset1(X1,X1,X1,X1),X2,X0,X3),k2_enumset1(k1_funct_1(X0,X1),k1_funct_1(X0,X1),k1_funct_1(X0,X1),k1_funct_1(X0,X1)))
| ( X2 = np__0 )
| ~ v1_funct_1(X0)
| ~ m2_relset_1(X0,k2_enumset1(X1,X1,X1,X1),X2)
| ~ v1_funct_2(X0,k2_enumset1(X1,X1,X1,X1),X2) ),
inference(cnf_transformation,[],[f14933]) ).
tcf(c_3192,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k2_funct_2(np__0,X1,X0,X2) = np__0 )
| ~ v1_funct_1(X0)
| ~ m2_relset_1(X0,np__0,X1)
| ~ v1_funct_2(X0,np__0,X1) ),
inference(cnf_transformation,[],[f14934]) ).
tcf(c_3193,plain,
! [X0: $i,X1: $i] :
( ( k2_funct_2(np__0,X1,X0,np__0) = k2_relat_1(X0) )
| ~ v1_funct_1(X0)
| ~ m2_relset_1(X0,np__0,X1)
| ~ v1_funct_2(X0,np__0,X1) ),
inference(cnf_transformation,[],[f15311]) ).
tcf(c_3194,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2 = np__0 )
| ( k2_funct_2(X1,X2,X0,X1) = k2_relat_1(X0) )
| ~ v1_funct_1(X0)
| ~ m2_relset_1(X0,X1,X2)
| ~ v1_funct_2(X0,X1,X2) ),
inference(cnf_transformation,[],[f14936]) ).
tcf(c_3195,plain,
! [X0: $i,X1: $i] :
( v1_relat_1(k3_funct_4(X0,X1))
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X0) ),
inference(cnf_transformation,[],[f13431]) ).
tcf(c_3196,plain,
! [X0: $i,X1: $i] :
( v1_funct_1(k3_funct_4(X0,X1))
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X0) ),
inference(cnf_transformation,[],[f13430]) ).
tcf(c_3198,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( v1_xboole_0(X7)
| v1_xboole_0(X3)
| v1_funct_2(k3_funct_4(X4,X0),k2_zfmisc_1(k2_zfmisc_1(X5,X1),k2_zfmisc_1(X6,X2)),k2_zfmisc_1(X7,X3))
| ~ v1_funct_1(X4)
| ~ v1_funct_1(X0)
| ~ m2_relset_1(X4,k2_zfmisc_1(X5,X6),X7)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X2),X3)
| ~ v1_funct_2(X4,k2_zfmisc_1(X5,X6),X7)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X2),X3) ),
inference(cnf_transformation,[],[f13433]) ).
tcf(c_3201,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( v1_funct_2(k3_funct_4(X4,X0),k2_zfmisc_1(k2_zfmisc_1(X5,X1),k2_zfmisc_1(X6,X2)),k2_zfmisc_1(X7,X3))
| ( X7 = np__0 )
| ( X3 = np__0 )
| ~ v1_funct_1(X4)
| ~ v1_funct_1(X0)
| ~ m2_relset_1(X4,k2_zfmisc_1(X5,X6),X7)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X2),X3)
| ~ v1_funct_2(X4,k2_zfmisc_1(X5,X6),X7)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X2),X3) ),
inference(cnf_transformation,[],[f14938]) ).
tcf(c_3203,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( v1_funct_1(k3_funct_4(X4,X0))
| ~ v1_funct_1(X4)
| ~ v1_funct_1(X0)
| ~ m2_relset_1(X4,k2_zfmisc_1(X5,X6),X7)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X2),X3) ),
inference(cnf_transformation,[],[f13439]) ).
tcf(c_3204,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( m2_relset_1(k3_funct_4(X4,X0),k2_zfmisc_1(k2_zfmisc_1(X5,X1),k2_zfmisc_1(X6,X2)),k2_zfmisc_1(X7,X3))
| ~ v1_funct_1(X4)
| ~ v1_funct_1(X0)
| ~ m2_relset_1(X4,k2_zfmisc_1(X5,X6),X7)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X2),X3) ),
inference(cnf_transformation,[],[f13438]) ).
tcf(c_3205,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( k2_zfmisc_1(k2_zfmisc_1(X0,X3),k2_zfmisc_1(X1,X4)) = k1_relat_1(k3_funct_4(X2,X5)) )
| ~ v1_relat_1(X5)
| ~ v1_relat_1(X2)
| ~ v1_funct_1(X5)
| ~ v1_funct_1(X2)
| ( k2_zfmisc_1(X3,X4) != k1_relat_1(X5) )
| ( k2_zfmisc_1(X0,X1) != k1_relat_1(X2) ) ),
inference(cnf_transformation,[],[f13440]) ).
tcf(c_3206,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( r1_tarski(k1_relat_1(k3_funct_4(X0,X3)),k2_zfmisc_1(k2_zfmisc_1(X1,X4),k2_zfmisc_1(X2,X5)))
| ~ v1_relat_1(X3)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X3)
| ~ v1_funct_1(X0)
| ~ r1_tarski(k1_relat_1(X3),k2_zfmisc_1(X4,X5))
| ~ r1_tarski(k1_relat_1(X0),k2_zfmisc_1(X1,X2)) ),
inference(cnf_transformation,[],[f13441]) ).
tcf(c_3207,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k2_relat_1(k3_funct_4(X0,X1)),k2_zfmisc_1(k2_relat_1(X0),k2_relat_1(X1)))
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X0) ),
inference(cnf_transformation,[],[f13442]) ).
tcf(c_3208,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( k2_tarski(k2_tarski(k1_funct_1(X4,k2_tarski(k2_tarski(X0,X2),k2_enumset1(X0,X0,X0,X0))),k1_funct_1(X5,k2_tarski(k2_tarski(X1,X3),k2_enumset1(X1,X1,X1,X1)))),k2_enumset1(k1_funct_1(X4,k2_tarski(k2_tarski(X0,X2),k2_enumset1(X0,X0,X0,X0))),k1_funct_1(X4,k2_tarski(k2_tarski(X0,X2),k2_enumset1(X0,X0,X0,X0))),k1_funct_1(X4,k2_tarski(k2_tarski(X0,X2),k2_enumset1(X0,X0,X0,X0))),k1_funct_1(X4,k2_tarski(k2_tarski(X0,X2),k2_enumset1(X0,X0,X0,X0))))) = k1_funct_1(k3_funct_4(X4,X5),k2_tarski(k2_tarski(k2_tarski(k2_tarski(X0,X1),k2_enumset1(X0,X0,X0,X0)),k2_tarski(k2_tarski(X2,X3),k2_enumset1(X2,X2,X2,X2))),k2_enumset1(k2_tarski(k2_tarski(X0,X1),k2_enumset1(X0,X0,X0,X0)),k2_tarski(k2_tarski(X0,X1),k2_enumset1(X0,X0,X0,X0)),k2_tarski(k2_tarski(X0,X1),k2_enumset1(X0,X0,X0,X0)),k2_tarski(k2_tarski(X0,X1),k2_enumset1(X0,X0,X0,X0))))) )
| ~ v1_relat_1(X5)
| ~ v1_relat_1(X4)
| ~ v1_funct_1(X5)
| ~ v1_funct_1(X4)
| ~ r2_hidden(k2_tarski(k2_tarski(k2_tarski(k2_tarski(X0,X1),k2_enumset1(X0,X0,X0,X0)),k2_tarski(k2_tarski(X2,X3),k2_enumset1(X2,X2,X2,X2))),k2_enumset1(k2_tarski(k2_tarski(X0,X1),k2_enumset1(X0,X0,X0,X0)),k2_tarski(k2_tarski(X0,X1),k2_enumset1(X0,X0,X0,X0)),k2_tarski(k2_tarski(X0,X1),k2_enumset1(X0,X0,X0,X0)),k2_tarski(k2_tarski(X0,X1),k2_enumset1(X0,X0,X0,X0)))),k1_relat_1(k3_funct_4(X4,X5))) ),
inference(cnf_transformation,[],[f14940]) ).
tcf(c_3209,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( r2_hidden(k2_tarski(k2_tarski(k2_tarski(k2_tarski(X0,X3),k2_enumset1(X0,X0,X0,X0)),k2_tarski(k2_tarski(X1,X4),k2_enumset1(X1,X1,X1,X1))),k2_enumset1(k2_tarski(k2_tarski(X0,X3),k2_enumset1(X0,X0,X0,X0)),k2_tarski(k2_tarski(X0,X3),k2_enumset1(X0,X0,X0,X0)),k2_tarski(k2_tarski(X0,X3),k2_enumset1(X0,X0,X0,X0)),k2_tarski(k2_tarski(X0,X3),k2_enumset1(X0,X0,X0,X0)))),k1_relat_1(k3_funct_4(X2,X5)))
| ~ v1_relat_1(X5)
| ~ v1_relat_1(X2)
| ~ v1_funct_1(X5)
| ~ v1_funct_1(X2)
| ~ r2_hidden(k2_tarski(k2_tarski(X3,X4),k2_enumset1(X3,X3,X3,X3)),k1_relat_1(X5))
| ~ r2_hidden(k2_tarski(k2_tarski(X0,X1),k2_enumset1(X0,X0,X0,X0)),k1_relat_1(X2)) ),
inference(cnf_transformation,[],[f14941]) ).
tcf(c_3210,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( r2_hidden(k2_tarski(k2_tarski(X0,X2),k2_enumset1(X0,X0,X0,X0)),k1_relat_1(X4))
| ~ v1_relat_1(X5)
| ~ v1_relat_1(X4)
| ~ v1_funct_1(X5)
| ~ v1_funct_1(X4)
| ~ r2_hidden(k2_tarski(k2_tarski(k2_tarski(k2_tarski(X0,X1),k2_enumset1(X0,X0,X0,X0)),k2_tarski(k2_tarski(X2,X3),k2_enumset1(X2,X2,X2,X2))),k2_enumset1(k2_tarski(k2_tarski(X0,X1),k2_enumset1(X0,X0,X0,X0)),k2_tarski(k2_tarski(X0,X1),k2_enumset1(X0,X0,X0,X0)),k2_tarski(k2_tarski(X0,X1),k2_enumset1(X0,X0,X0,X0)),k2_tarski(k2_tarski(X0,X1),k2_enumset1(X0,X0,X0,X0)))),k1_relat_1(k3_funct_4(X4,X5))) ),
inference(cnf_transformation,[],[f14942]) ).
tcf(c_3211,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( r2_hidden(k2_tarski(k2_tarski(X1,X3),k2_enumset1(X1,X1,X1,X1)),k1_relat_1(X5))
| ~ v1_relat_1(X5)
| ~ v1_relat_1(X4)
| ~ v1_funct_1(X5)
| ~ v1_funct_1(X4)
| ~ r2_hidden(k2_tarski(k2_tarski(k2_tarski(k2_tarski(X0,X1),k2_enumset1(X0,X0,X0,X0)),k2_tarski(k2_tarski(X2,X3),k2_enumset1(X2,X2,X2,X2))),k2_enumset1(k2_tarski(k2_tarski(X0,X1),k2_enumset1(X0,X0,X0,X0)),k2_tarski(k2_tarski(X0,X1),k2_enumset1(X0,X0,X0,X0)),k2_tarski(k2_tarski(X0,X1),k2_enumset1(X0,X0,X0,X0)),k2_tarski(k2_tarski(X0,X1),k2_enumset1(X0,X0,X0,X0)))),k1_relat_1(k3_funct_4(X4,X5))) ),
inference(cnf_transformation,[],[f14943]) ).
tcf(c_3220,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k3_funct_4(X0,X1) = X2 )
| ~ v1_relat_1(X2)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X0)
| ~ sP28(X0,X1,X2)
| ( k2_tarski(k2_tarski(k1_funct_1(X0,k2_tarski(k2_tarski(sK506(X0,X1,X2),sK507(X0,X1,X2)),k2_enumset1(sK506(X0,X1,X2),sK506(X0,X1,X2),sK506(X0,X1,X2),sK506(X0,X1,X2)))),k1_funct_1(X1,k2_tarski(k2_tarski(sK508(X0,X1,X2),sK509(X0,X1,X2)),k2_enumset1(sK508(X0,X1,X2),sK508(X0,X1,X2),sK508(X0,X1,X2),sK508(X0,X1,X2))))),k2_enumset1(k1_funct_1(X0,k2_tarski(k2_tarski(sK506(X0,X1,X2),sK507(X0,X1,X2)),k2_enumset1(sK506(X0,X1,X2),sK506(X0,X1,X2),sK506(X0,X1,X2),sK506(X0,X1,X2)))),k1_funct_1(X0,k2_tarski(k2_tarski(sK506(X0,X1,X2),sK507(X0,X1,X2)),k2_enumset1(sK506(X0,X1,X2),sK506(X0,X1,X2),sK506(X0,X1,X2),sK506(X0,X1,X2)))),k1_funct_1(X0,k2_tarski(k2_tarski(sK506(X0,X1,X2),sK507(X0,X1,X2)),k2_enumset1(sK506(X0,X1,X2),sK506(X0,X1,X2),sK506(X0,X1,X2),sK506(X0,X1,X2)))),k1_funct_1(X0,k2_tarski(k2_tarski(sK506(X0,X1,X2),sK507(X0,X1,X2)),k2_enumset1(sK506(X0,X1,X2),sK506(X0,X1,X2),sK506(X0,X1,X2),sK506(X0,X1,X2)))))) != k1_funct_1(X2,k2_tarski(k2_tarski(k2_tarski(k2_tarski(sK506(X0,X1,X2),sK508(X0,X1,X2)),k2_enumset1(sK506(X0,X1,X2),sK506(X0,X1,X2),sK506(X0,X1,X2),sK506(X0,X1,X2))),k2_tarski(k2_tarski(sK507(X0,X1,X2),sK509(X0,X1,X2)),k2_enumset1(sK507(X0,X1,X2),sK507(X0,X1,X2),sK507(X0,X1,X2),sK507(X0,X1,X2)))),k2_enumset1(k2_tarski(k2_tarski(sK506(X0,X1,X2),sK508(X0,X1,X2)),k2_enumset1(sK506(X0,X1,X2),sK506(X0,X1,X2),sK506(X0,X1,X2),sK506(X0,X1,X2))),k2_tarski(k2_tarski(sK506(X0,X1,X2),sK508(X0,X1,X2)),k2_enumset1(sK506(X0,X1,X2),sK506(X0,X1,X2),sK506(X0,X1,X2),sK506(X0,X1,X2))),k2_tarski(k2_tarski(sK506(X0,X1,X2),sK508(X0,X1,X2)),k2_enumset1(sK506(X0,X1,X2),sK506(X0,X1,X2),sK506(X0,X1,X2),sK506(X0,X1,X2))),k2_tarski(k2_tarski(sK506(X0,X1,X2),sK508(X0,X1,X2)),k2_enumset1(sK506(X0,X1,X2),sK506(X0,X1,X2),sK506(X0,X1,X2),sK506(X0,X1,X2)))))) ) ),
inference(cnf_transformation,[],[f14952]) ).
tcf(c_3221,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(k2_tarski(k2_tarski(sK506(X0,X1,X2),sK507(X0,X1,X2)),k2_enumset1(sK506(X0,X1,X2),sK506(X0,X1,X2),sK506(X0,X1,X2),sK506(X0,X1,X2))),k1_relat_1(X0))
| ( k3_funct_4(X0,X1) = X2 )
| ~ v1_relat_1(X2)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X0)
| ~ sP28(X0,X1,X2) ),
inference(cnf_transformation,[],[f14953]) ).
tcf(c_3222,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(k2_tarski(k2_tarski(sK508(X0,X1,X2),sK509(X0,X1,X2)),k2_enumset1(sK508(X0,X1,X2),sK508(X0,X1,X2),sK508(X0,X1,X2),sK508(X0,X1,X2))),k1_relat_1(X1))
| ( k3_funct_4(X0,X1) = X2 )
| ~ v1_relat_1(X2)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X0)
| ~ sP28(X0,X1,X2) ),
inference(cnf_transformation,[],[f14954]) ).
tcf(c_3223,plain,
! [X0: $i,X1: $i] :
( sP28(X0,X1,k3_funct_4(X0,X1))
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(k3_funct_4(X0,X1))
| ~ v1_funct_1(k3_funct_4(X0,X1)) ),
inference(cnf_transformation,[],[f15313]) ).
tcf(c_3224,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( k2_tarski(k2_tarski(k1_funct_1(X2,k2_tarski(k2_tarski(X0,X1),k2_enumset1(X0,X0,X0,X0))),k1_funct_1(X5,k2_tarski(k2_tarski(X3,X4),k2_enumset1(X3,X3,X3,X3)))),k2_enumset1(k1_funct_1(X2,k2_tarski(k2_tarski(X0,X1),k2_enumset1(X0,X0,X0,X0))),k1_funct_1(X2,k2_tarski(k2_tarski(X0,X1),k2_enumset1(X0,X0,X0,X0))),k1_funct_1(X2,k2_tarski(k2_tarski(X0,X1),k2_enumset1(X0,X0,X0,X0))),k1_funct_1(X2,k2_tarski(k2_tarski(X0,X1),k2_enumset1(X0,X0,X0,X0))))) = k1_funct_1(k3_funct_4(X2,X5),k2_tarski(k2_tarski(k2_tarski(k2_tarski(X0,X3),k2_enumset1(X0,X0,X0,X0)),k2_tarski(k2_tarski(X1,X4),k2_enumset1(X1,X1,X1,X1))),k2_enumset1(k2_tarski(k2_tarski(X0,X3),k2_enumset1(X0,X0,X0,X0)),k2_tarski(k2_tarski(X0,X3),k2_enumset1(X0,X0,X0,X0)),k2_tarski(k2_tarski(X0,X3),k2_enumset1(X0,X0,X0,X0)),k2_tarski(k2_tarski(X0,X3),k2_enumset1(X0,X0,X0,X0))))) )
| ~ v1_relat_1(X5)
| ~ v1_relat_1(X2)
| ~ v1_funct_1(X5)
| ~ v1_funct_1(X2)
| ~ v1_relat_1(k3_funct_4(X2,X5))
| ~ v1_funct_1(k3_funct_4(X2,X5))
| ~ r2_hidden(k2_tarski(k2_tarski(X3,X4),k2_enumset1(X3,X3,X3,X3)),k1_relat_1(X5))
| ~ r2_hidden(k2_tarski(k2_tarski(X0,X1),k2_enumset1(X0,X0,X0,X0)),k1_relat_1(X2)) ),
inference(cnf_transformation,[],[f15314]) ).
tcf(c_3225,plain,
! [X0: $i] :
( v3_struct_0(X0)
| m2_lattice4(sK510(X0),X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0) ),
inference(cnf_transformation,[],[f13460]) ).
tcf(c_3226,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1)))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m2_lattice4(X0,X1) ),
inference(cnf_transformation,[],[f13461]) ).
tcf(c_3227,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X1)
| r2_hidden(k1_lattice4(X1,X0),X2)
| ~ v13_lattices(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m2_lattice4(X2,X1)
| ~ r1_tarski(X0,X2)
| ~ r2_hidden(k5_lattices(X1),X2)
| ~ m1_subset_1(X0,k5_finsub_1(u1_struct_0(X1))) ),
inference(cnf_transformation,[],[f13462]) ).
tcf(c_3228,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| m2_lattice4(X0,X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_filter_0(X0,X1) ),
inference(cnf_transformation,[],[f13463]) ).
tcf(c_3229,plain,
! [X0: $i] :
( v3_struct_0(X0)
| m2_lattice4(u1_struct_0(X0),X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0) ),
inference(cnf_transformation,[],[f13464]) ).
tcf(c_3230,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X0)
| m2_lattice4(X1,X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ r2_hidden(k3_lattices(X0,sK511(X0,X1),sK512(X0,X1)),X1)
| ~ r2_hidden(k4_lattices(X0,sK511(X0,X1),sK512(X0,X1)),X1) ),
inference(cnf_transformation,[],[f13471]) ).
tcf(c_3231,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| m2_lattice4(X0,X1)
| r2_hidden(sK511(X1,X0),X0)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(cnf_transformation,[],[f13470]) ).
tcf(c_3232,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| m2_lattice4(X0,X1)
| r2_hidden(sK512(X1,X0),X0)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(cnf_transformation,[],[f13469]) ).
tcf(c_3233,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| m2_lattice4(X0,X1)
| m1_subset_1(sK512(X1,X0),u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(cnf_transformation,[],[f13468]) ).
tcf(c_3234,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| m2_lattice4(X0,X1)
| m1_subset_1(sK511(X1,X0),u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(cnf_transformation,[],[f13467]) ).
tcf(c_3235,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v3_struct_0(X1)
| r2_hidden(k4_lattices(X1,X2,X3),X0)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m2_lattice4(X0,X1)
| ~ r2_hidden(X3,X0)
| ~ r2_hidden(X2,X0)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(cnf_transformation,[],[f13466]) ).
tcf(c_3236,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v3_struct_0(X1)
| r2_hidden(k3_lattices(X1,X2,X3),X0)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m2_lattice4(X0,X1)
| ~ r2_hidden(X3,X0)
| ~ r2_hidden(X2,X0)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(cnf_transformation,[],[f13465]) ).
tcf(c_3237,plain,
! [X0: $i] :
( v3_struct_0(X0)
| m2_lattice4(sK513(X0),X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0) ),
inference(cnf_transformation,[],[f13473]) ).
tcf(c_3238,plain,
! [X0: $i] :
( v3_struct_0(X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| ~ v1_xboole_0(sK513(X0)) ),
inference(cnf_transformation,[],[f13472]) ).
tcf(c_3239,plain,
! [X0: $i] :
( v3_struct_0(X0)
| ( k1_lattice4(X0,np__0) = k5_lattices(X0) )
| ~ v13_lattices(X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0) ),
inference(cnf_transformation,[],[f14956]) ).
tcf(c_3240,plain,
v1_xboole_0(np__0),
inference(cnf_transformation,[],[f14957]) ).
tcf(c_3241,plain,
! [X0: $i] : m1_subset_1(np__0,k5_finsub_1(X0)),
inference(cnf_transformation,[],[f14958]) ).
tcf(c_3242,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( v1_xboole_0(X4)
| ( k10_setwiseo(X4,X0,X5,k7_funct_2(X4,k5_finsub_1(X1),k5_finsub_1(X0),X3,X2)) = k8_funct_2(k5_finsub_1(X1),k5_finsub_1(X0),X2,k10_setwiseo(X4,X1,X5,X3)) )
| ~ v1_funct_1(X3)
| ~ v1_funct_1(X2)
| ~ m1_subset_1(X5,k5_finsub_1(X4))
| ~ m2_relset_1(X3,X4,k5_finsub_1(X1))
| ~ v1_funct_2(X3,X4,k5_finsub_1(X1))
| ~ m2_relset_1(X2,k5_finsub_1(X1),k5_finsub_1(X0))
| ~ v1_funct_2(X2,k5_finsub_1(X1),k5_finsub_1(X0))
| ( k8_funct_2(k5_finsub_1(X1),k5_finsub_1(X0),X2,np__0) != np__0 )
| ( k5_setwiseo(X0,k8_funct_2(k5_finsub_1(X1),k5_finsub_1(X0),X2,sK514(X1,X0,X2)),k8_funct_2(k5_finsub_1(X1),k5_finsub_1(X0),X2,sK515(X1,X0,X2))) != k8_funct_2(k5_finsub_1(X1),k5_finsub_1(X0),X2,k5_setwiseo(X1,sK514(X1,X0,X2),sK515(X1,X0,X2))) ) ),
inference(cnf_transformation,[],[f14959]) ).
tcf(c_3243,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( v1_xboole_0(X4)
| m1_subset_1(sK515(X0,X1,X2),k5_finsub_1(X0))
| ( k10_setwiseo(X4,X1,X5,k7_funct_2(X4,k5_finsub_1(X0),k5_finsub_1(X1),X3,X2)) = k8_funct_2(k5_finsub_1(X0),k5_finsub_1(X1),X2,k10_setwiseo(X4,X0,X5,X3)) )
| ~ v1_funct_1(X3)
| ~ v1_funct_1(X2)
| ~ m1_subset_1(X5,k5_finsub_1(X4))
| ~ m2_relset_1(X3,X4,k5_finsub_1(X0))
| ~ v1_funct_2(X3,X4,k5_finsub_1(X0))
| ~ m2_relset_1(X2,k5_finsub_1(X0),k5_finsub_1(X1))
| ~ v1_funct_2(X2,k5_finsub_1(X0),k5_finsub_1(X1))
| ( k8_funct_2(k5_finsub_1(X0),k5_finsub_1(X1),X2,np__0) != np__0 ) ),
inference(cnf_transformation,[],[f14960]) ).
tcf(c_3244,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( v1_xboole_0(X4)
| m1_subset_1(sK514(X0,X1,X2),k5_finsub_1(X0))
| ( k10_setwiseo(X4,X1,X5,k7_funct_2(X4,k5_finsub_1(X0),k5_finsub_1(X1),X3,X2)) = k8_funct_2(k5_finsub_1(X0),k5_finsub_1(X1),X2,k10_setwiseo(X4,X0,X5,X3)) )
| ~ v1_funct_1(X3)
| ~ v1_funct_1(X2)
| ~ m1_subset_1(X5,k5_finsub_1(X4))
| ~ m2_relset_1(X3,X4,k5_finsub_1(X0))
| ~ v1_funct_2(X3,X4,k5_finsub_1(X0))
| ~ m2_relset_1(X2,k5_finsub_1(X0),k5_finsub_1(X1))
| ~ v1_funct_2(X2,k5_finsub_1(X0),k5_finsub_1(X1))
| ( k8_funct_2(k5_finsub_1(X0),k5_finsub_1(X1),X2,np__0) != np__0 ) ),
inference(cnf_transformation,[],[f14961]) ).
tcf(c_3245,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( v1_xboole_0(X5)
| v1_xboole_0(X0)
| ( k7_setwiseo(X5,X0,X1,X6,k7_funct_2(X5,k5_finsub_1(X2),X0,X4,X3)) = k8_funct_2(k5_finsub_1(X2),X0,X3,k10_setwiseo(X5,X2,X6,X4)) )
| ~ v1_funct_1(X4)
| ~ v1_funct_1(X3)
| ~ v1_funct_1(X1)
| ~ v3_binop_1(X1,X0)
| ~ v1_binop_1(X1,X0)
| ~ v2_binop_1(X1,X0)
| ~ v1_setwiseo(X1,X0)
| ~ m1_subset_1(X6,k5_finsub_1(X5))
| ~ m2_relset_1(X4,X5,k5_finsub_1(X2))
| ~ m2_relset_1(X3,k5_finsub_1(X2),X0)
| ~ v1_funct_2(X4,X5,k5_finsub_1(X2))
| ~ v1_funct_2(X3,k5_finsub_1(X2),X0)
| ~ m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ( k8_funct_2(k5_finsub_1(X2),X0,X3,np__0) != k3_binop_1(X0,X1) )
| ( k2_binop_1(X0,X0,X0,X1,k8_funct_2(k5_finsub_1(X2),X0,X3,sK516(X0,X2,X1,X3)),k8_funct_2(k5_finsub_1(X2),X0,X3,sK517(X0,X2,X1,X3))) != k8_funct_2(k5_finsub_1(X2),X0,X3,k5_setwiseo(X2,sK516(X0,X2,X1,X3),sK517(X0,X2,X1,X3))) ) ),
inference(cnf_transformation,[],[f14962]) ).
tcf(c_3246,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( v1_xboole_0(X5)
| v1_xboole_0(X1)
| m1_subset_1(sK517(X1,X0,X3,X2),k5_finsub_1(X0))
| ( k7_setwiseo(X5,X1,X3,X6,k7_funct_2(X5,k5_finsub_1(X0),X1,X4,X2)) = k8_funct_2(k5_finsub_1(X0),X1,X2,k10_setwiseo(X5,X0,X6,X4)) )
| ~ v1_funct_1(X4)
| ~ v1_funct_1(X3)
| ~ v1_funct_1(X2)
| ~ v3_binop_1(X3,X1)
| ~ v1_binop_1(X3,X1)
| ~ v2_binop_1(X3,X1)
| ~ v1_setwiseo(X3,X1)
| ~ m1_subset_1(X6,k5_finsub_1(X5))
| ~ m2_relset_1(X4,X5,k5_finsub_1(X0))
| ~ m2_relset_1(X2,k5_finsub_1(X0),X1)
| ~ v1_funct_2(X4,X5,k5_finsub_1(X0))
| ~ v1_funct_2(X2,k5_finsub_1(X0),X1)
| ~ m2_relset_1(X3,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
| ( k8_funct_2(k5_finsub_1(X0),X1,X2,np__0) != k3_binop_1(X1,X3) ) ),
inference(cnf_transformation,[],[f14963]) ).
tcf(c_3247,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( v1_xboole_0(X5)
| v1_xboole_0(X1)
| m1_subset_1(sK516(X1,X0,X3,X2),k5_finsub_1(X0))
| ( k7_setwiseo(X5,X1,X3,X6,k7_funct_2(X5,k5_finsub_1(X0),X1,X4,X2)) = k8_funct_2(k5_finsub_1(X0),X1,X2,k10_setwiseo(X5,X0,X6,X4)) )
| ~ v1_funct_1(X4)
| ~ v1_funct_1(X3)
| ~ v1_funct_1(X2)
| ~ v3_binop_1(X3,X1)
| ~ v1_binop_1(X3,X1)
| ~ v2_binop_1(X3,X1)
| ~ v1_setwiseo(X3,X1)
| ~ m1_subset_1(X6,k5_finsub_1(X5))
| ~ m2_relset_1(X4,X5,k5_finsub_1(X0))
| ~ m2_relset_1(X2,k5_finsub_1(X0),X1)
| ~ v1_funct_2(X4,X5,k5_finsub_1(X0))
| ~ v1_funct_2(X2,k5_finsub_1(X0),X1)
| ~ m2_relset_1(X3,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
| ( k8_funct_2(k5_finsub_1(X0),X1,X2,np__0) != k3_binop_1(X1,X3) ) ),
inference(cnf_transformation,[],[f14964]) ).
tcf(c_3248,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_xboole_0(X1)
| ( k10_setwiseo(X1,X2,np__0,X0) = np__0 )
| ~ v1_funct_1(X0)
| ~ m2_relset_1(X0,X1,k5_finsub_1(X2))
| ~ v1_funct_2(X0,X1,k5_finsub_1(X2)) ),
inference(cnf_transformation,[],[f14965]) ).
tcf(c_3249,plain,
! [X0: $i] : r3_binop_1(k5_finsub_1(X0),np__0,k9_setwiseo(X0)),
inference(cnf_transformation,[],[f14966]) ).
tcf(c_3250,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v1_xboole_0(X3)
| v1_xboole_0(X1)
| ( k7_setwiseo(X3,X1,X0,np__0,X2) = k3_binop_1(X1,X0) )
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X0)
| ~ v1_binop_1(X0,X1)
| ~ v2_binop_1(X0,X1)
| ~ v1_setwiseo(X0,X1)
| ~ m2_relset_1(X2,X3,X1)
| ~ v1_funct_2(X2,X3,X1)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1) ),
inference(cnf_transformation,[],[f14967]) ).
tcf(c_3251,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| ( k7_setwiseo(u1_struct_0(X1),u1_struct_0(X1),u2_lattices(X1),X0,k7_grcat_1(X1)) = k1_lattice4(X1,X0) )
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X0,k5_finsub_1(u1_struct_0(X1))) ),
inference(cnf_transformation,[],[f13487]) ).
tcf(c_3252,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| ( k2_lattice2(u1_struct_0(X1),X1,X0,k7_grcat_1(X1)) = k1_lattice4(X1,X0) )
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X0,k5_finsub_1(u1_struct_0(X1))) ),
inference(cnf_transformation,[],[f13488]) ).
tcf(c_3253,plain,
! [X0: $i] :
( v1_funct_1(k7_grcat_1(X0))
| ~ l1_struct_0(X0) ),
inference(cnf_transformation,[],[f13491]) ).
tcf(c_3254,plain,
! [X0: $i] :
( v1_funct_2(k7_grcat_1(X0),u1_struct_0(X0),u1_struct_0(X0))
| ~ l1_struct_0(X0) ),
inference(cnf_transformation,[],[f13490]) ).
tcf(c_3255,plain,
! [X0: $i] :
( m2_relset_1(k7_grcat_1(X0),u1_struct_0(X0),u1_struct_0(X0))
| ~ l1_struct_0(X0) ),
inference(cnf_transformation,[],[f13489]) ).
tcf(c_3256,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X2)
| ( k1_partfun1(u1_struct_0(X1),u1_struct_0(X1),u1_struct_0(X1),u1_struct_0(X2),k7_grcat_1(X1),X0) = X0 )
| ~ v1_funct_1(X0)
| ~ l1_struct_0(X2)
| ~ l1_struct_0(X1)
| ~ m2_relset_1(X0,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_2(X0,u1_struct_0(X1),u1_struct_0(X2)) ),
inference(cnf_transformation,[],[f13493]) ).
tcf(c_3257,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X2)
| ( k7_funct_2(u1_struct_0(X1),u1_struct_0(X2),u1_struct_0(X2),X0,k7_grcat_1(X2)) = X0 )
| ~ v1_funct_1(X0)
| ~ l1_struct_0(X2)
| ~ l1_struct_0(X1)
| ~ m2_relset_1(X0,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_2(X0,u1_struct_0(X1),u1_struct_0(X2)) ),
inference(cnf_transformation,[],[f13492]) ).
tcf(c_3258,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| ( k8_funct_2(u1_struct_0(X1),u1_struct_0(X1),k7_grcat_1(X1),X0) = X0 )
| ~ l1_struct_0(X1)
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f13494]) ).
tcf(c_3259,plain,
! [X0: $i] :
( ( k6_partfun1(u1_struct_0(X0)) = k7_grcat_1(X0) )
| ~ l1_struct_0(X0) ),
inference(cnf_transformation,[],[f13495]) ).
tcf(c_3260,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_tarski(k7_relat_1(k8_relat_1(X2,X0),X3),k7_relat_1(k8_relat_1(X2,X1),X3))
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X0)
| ~ r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f13496]) ).
tcf(c_3261,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k7_relat_1(k8_relat_1(X1,X0),X2),X0)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0) ),
inference(cnf_transformation,[],[f13497]) ).
tcf(c_3262,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k7_relat_1(k8_relat_1(X1,X0),X2) = k3_partfun1(X0,X2,X1) )
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0) ),
inference(cnf_transformation,[],[f13498]) ).
tcf(c_3263,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_funct_1(k7_relat_1(k8_relat_1(X1,X0),X2))
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0) ),
inference(cnf_transformation,[],[f13500]) ).
tcf(c_3264,plain,
! [X0: $i,X1: $i,X2: $i] :
( m2_relset_1(k7_relat_1(k8_relat_1(X1,X0),X2),X2,X1)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0) ),
inference(cnf_transformation,[],[f13499]) ).
tcf(c_3265,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k4_xboole_0(X1,k4_xboole_0(X1,k9_relat_1(X0,X2))) = k9_relat_1(k8_relat_1(X1,X0),X2) )
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0) ),
inference(cnf_transformation,[],[f14968]) ).
tcf(c_3266,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k9_relat_1(k8_relat_1(X1,X0),X2),k9_relat_1(X0,X2))
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0) ),
inference(cnf_transformation,[],[f13502]) ).
tcf(c_3267,plain,
! [X0: $i,X1: $i] :
( v2_funct_1(k8_relat_1(X1,X0))
| ~ v2_funct_1(X0)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0) ),
inference(cnf_transformation,[],[f13503]) ).
tcf(c_3270,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k1_relat_1(k8_relat_1(X1,X0)),k1_relat_1(X0))
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0) ),
inference(cnf_transformation,[],[f13507]) ).
tcf(c_3272,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k1_funct_1(k8_relat_1(X1,X2),X0) = k1_funct_1(X2,X0) )
| ~ v1_relat_1(X2)
| ~ v1_funct_1(X2)
| ~ r2_hidden(X0,k1_relat_1(k8_relat_1(X1,X2))) ),
inference(cnf_transformation,[],[f13508]) ).
tcf(c_3273,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(X1,k1_relat_1(k8_relat_1(X2,X0)))
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0)
| ~ r2_hidden(X1,k1_relat_1(X0))
| ~ r2_hidden(k1_funct_1(X0,X1),X2) ),
inference(cnf_transformation,[],[f13511]) ).
tcf(c_3274,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(X0,k1_relat_1(X2))
| ~ v1_relat_1(X2)
| ~ v1_funct_1(X2)
| ~ r2_hidden(X0,k1_relat_1(k8_relat_1(X1,X2))) ),
inference(cnf_transformation,[],[f13510]) ).
tcf(c_3275,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(k1_funct_1(X2,X0),X1)
| ~ v1_relat_1(X2)
| ~ v1_funct_1(X2)
| ~ r2_hidden(X0,k1_relat_1(k8_relat_1(X1,X2))) ),
inference(cnf_transformation,[],[f13509]) ).
tcf(c_3276,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k8_relat_1(X1,X0) = X2 )
| ~ sP30(X2,X1,X0)
| ~ sP29(X0,X1,X2) ),
inference(cnf_transformation,[],[f13513]) ).
tcf(c_3277,plain,
! [X0: $i,X1: $i] :
( sP29(X1,X0,k8_relat_1(X0,X1))
| ~ sP30(k8_relat_1(X0,X1),X0,X1) ),
inference(cnf_transformation,[],[f15315]) ).
tcf(c_3288,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP30(X0,X2,X1)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X0) ),
inference(cnf_transformation,[],[f13524]) ).
tcf(c_3290,plain,
! [X0: $i,X1: $i] :
( v1_funct_1(k8_relat_1(X1,X0))
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0) ),
inference(cnf_transformation,[],[f13525]) ).
tcf(c_3291,plain,
! [X0: $i,X1: $i] :
( v1_relat_1(k8_relat_1(X1,X0))
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f13527]) ).
tcf(c_3292,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k7_relat_1(k8_relat_1(X1,X0),X2) = k8_relat_1(X1,k7_relat_1(X0,X2)) )
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f13528]) ).
tcf(c_3293,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k5_relat_1(X0,k8_relat_1(X2,X1)) = k8_relat_1(X2,k5_relat_1(X0,X1)) )
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f13529]) ).
tcf(c_3294,plain,
! [X0: $i] : k8_relat_1(X0,np__0) = np__0,
inference(cnf_transformation,[],[f14969]) ).
tcf(c_3295,plain,
! [X0: $i] :
( ( k8_relat_1(np__0,X0) = np__0 )
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f14970]) ).
tcf(c_3296,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k4_xboole_0(k8_relat_1(X1,X0),k8_relat_1(X2,X0)) = k8_relat_1(k4_xboole_0(X1,X2),X0) )
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f13532]) ).
tcf(c_3297,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k4_xboole_0(k8_relat_1(X1,X0),k4_xboole_0(k8_relat_1(X1,X0),k8_relat_1(X2,X0))) = k8_relat_1(k4_xboole_0(X1,k4_xboole_0(X1,X2)),X0) )
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f14971]) ).
tcf(c_3298,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k3_tarski(k2_tarski(k8_relat_1(X1,X0),k8_relat_1(X2,X0))) = k8_relat_1(k3_tarski(k2_tarski(X1,X2)),X0) )
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f14972]) ).
tcf(c_3299,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_tarski(k8_relat_1(X0,X2),k8_relat_1(X1,X3))
| ~ v1_relat_1(X3)
| ~ v1_relat_1(X2)
| ~ r1_tarski(X2,X3)
| ~ r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f13535]) ).
tcf(c_3300,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k8_relat_1(X2,X0),k8_relat_1(X2,X1))
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0)
| ~ r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f13536]) ).
tcf(c_3301,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k8_relat_1(X0,X2),k8_relat_1(X1,X2))
| ~ v1_relat_1(X2)
| ~ r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f13537]) ).
tcf(c_3302,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k8_relat_1(X0,k8_relat_1(X1,X2)) = k8_relat_1(X0,X2) )
| ~ v1_relat_1(X2)
| ~ r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f13538]) ).
tcf(c_3303,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k8_relat_1(X1,k8_relat_1(X0,X2)) = k8_relat_1(X0,X2) )
| ~ v1_relat_1(X2)
| ~ r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f13539]) ).
tcf(c_3304,plain,
! [X0: $i,X1: $i] :
( ( k8_relat_1(X1,k8_relat_1(X1,X0)) = k8_relat_1(X1,X0) )
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f13540]) ).
tcf(c_3305,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k8_relat_1(k4_xboole_0(X1,k4_xboole_0(X1,X2)),X0) = k8_relat_1(X1,k8_relat_1(X2,X0)) )
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f14973]) ).
tcf(c_3306,plain,
! [X0: $i] :
( ( k8_relat_1(k2_relat_1(X0),X0) = X0 )
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f13542]) ).
tcf(c_3307,plain,
! [X0: $i,X1: $i] :
( ( k8_relat_1(X1,X0) = X0 )
| ~ v1_relat_1(X0)
| ~ r1_tarski(k2_relat_1(X0),X1) ),
inference(cnf_transformation,[],[f13543]) ).
tcf(c_3308,plain,
! [X0: $i,X1: $i] :
( ( k4_xboole_0(X0,k4_xboole_0(X0,k2_zfmisc_1(k1_relat_1(X0),X1))) = k8_relat_1(X1,X0) )
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f14974]) ).
tcf(c_3309,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k5_relat_1(X0,k8_relat_1(X2,X1)),k5_relat_1(X0,X1))
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f13545]) ).
tcf(c_3310,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k5_relat_1(k8_relat_1(X2,X0),X1),k5_relat_1(X0,X1))
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f13546]) ).
tcf(c_3311,plain,
! [X0: $i,X1: $i] :
( ( k2_relat_1(k8_relat_1(X0,X1)) = X0 )
| ~ v1_relat_1(X1)
| ~ r1_tarski(X0,k2_relat_1(X1)) ),
inference(cnf_transformation,[],[f13547]) ).
tcf(c_3312,plain,
! [X0: $i,X1: $i] :
( ( k4_xboole_0(k2_relat_1(X0),k4_xboole_0(k2_relat_1(X0),X1)) = k2_relat_1(k8_relat_1(X1,X0)) )
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f14975]) ).
tcf(c_3313,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k2_relat_1(k8_relat_1(X1,X0)),k2_relat_1(X0))
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f13549]) ).
tcf(c_3314,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k8_relat_1(X1,X0),X0)
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f13550]) ).
tcf(c_3315,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k2_relat_1(k8_relat_1(X1,X0)),X1)
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f13551]) ).
tcf(c_3316,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(X0,k2_relat_1(k8_relat_1(X2,X1)))
| ~ v1_relat_1(X1)
| ~ r2_hidden(X0,X2)
| ~ r2_hidden(X0,k2_relat_1(X1)) ),
inference(cnf_transformation,[],[f13554]) ).
tcf(c_3317,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(X0,X1)
| ~ v1_relat_1(X2)
| ~ r2_hidden(X0,k2_relat_1(k8_relat_1(X1,X2))) ),
inference(cnf_transformation,[],[f13553]) ).
tcf(c_3318,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(X0,k2_relat_1(X2))
| ~ v1_relat_1(X2)
| ~ r2_hidden(X0,k2_relat_1(k8_relat_1(X1,X2))) ),
inference(cnf_transformation,[],[f13552]) ).
tcf(c_3319,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k8_relat_1(X0,X1) = X2 )
| ~ v1_relat_1(X2)
| ~ v1_relat_1(X1)
| ~ r2_hidden(sK521(X0,X1,X2),X0)
| ~ r2_hidden(k2_tarski(k2_tarski(sK520(X0,X1,X2),sK521(X0,X1,X2)),k2_enumset1(sK520(X0,X1,X2),sK520(X0,X1,X2),sK520(X0,X1,X2),sK520(X0,X1,X2))),X2)
| ~ r2_hidden(k2_tarski(k2_tarski(sK520(X0,X1,X2),sK521(X0,X1,X2)),k2_enumset1(sK520(X0,X1,X2),sK520(X0,X1,X2),sK520(X0,X1,X2),sK520(X0,X1,X2))),X1) ),
inference(cnf_transformation,[],[f14976]) ).
tcf(c_3320,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(sK521(X2,X0,X1),X2)
| r2_hidden(k2_tarski(k2_tarski(sK520(X2,X0,X1),sK521(X2,X0,X1)),k2_enumset1(sK520(X2,X0,X1),sK520(X2,X0,X1),sK520(X2,X0,X1),sK520(X2,X0,X1))),X1)
| ( k8_relat_1(X2,X0) = X1 )
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f14977]) ).
tcf(c_3321,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(k2_tarski(k2_tarski(sK520(X2,X0,X1),sK521(X2,X0,X1)),k2_enumset1(sK520(X2,X0,X1),sK520(X2,X0,X1),sK520(X2,X0,X1),sK520(X2,X0,X1))),X1)
| r2_hidden(k2_tarski(k2_tarski(sK520(X2,X0,X1),sK521(X2,X0,X1)),k2_enumset1(sK520(X2,X0,X1),sK520(X2,X0,X1),sK520(X2,X0,X1),sK520(X2,X0,X1))),X0)
| ( k8_relat_1(X2,X0) = X1 )
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f14978]) ).
tcf(c_3322,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r2_hidden(k2_tarski(k2_tarski(X0,X1),k2_enumset1(X0,X0,X0,X0)),k8_relat_1(X3,X2))
| ~ v1_relat_1(X2)
| ~ r2_hidden(X1,X3)
| ~ v1_relat_1(k8_relat_1(X3,X2))
| ~ r2_hidden(k2_tarski(k2_tarski(X0,X1),k2_enumset1(X0,X0,X0,X0)),X2) ),
inference(cnf_transformation,[],[f15316]) ).
tcf(c_3323,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r2_hidden(X1,X2)
| ~ v1_relat_1(X3)
| ~ v1_relat_1(k8_relat_1(X2,X3))
| ~ r2_hidden(k2_tarski(k2_tarski(X0,X1),k2_enumset1(X0,X0,X0,X0)),k8_relat_1(X2,X3)) ),
inference(cnf_transformation,[],[f15317]) ).
tcf(c_3324,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r2_hidden(k2_tarski(k2_tarski(X0,X1),k2_enumset1(X0,X0,X0,X0)),X3)
| ~ v1_relat_1(X3)
| ~ v1_relat_1(k8_relat_1(X2,X3))
| ~ r2_hidden(k2_tarski(k2_tarski(X0,X1),k2_enumset1(X0,X0,X0,X0)),k8_relat_1(X2,X3)) ),
inference(cnf_transformation,[],[f15318]) ).
tcf(c_3325,plain,
! [X0: $i] :
( ( k1_card_1(X0) = k3_finseq_1(X0) )
| ~ v1_finseq_1(X0)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0) ),
inference(cnf_transformation,[],[f13561]) ).
tcf(c_3326,plain,
! [X0: $i] :
( m2_subset_1(k3_finseq_1(X0),k1_numbers,k5_numbers)
| ~ v1_finseq_1(X0)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0) ),
inference(cnf_transformation,[],[f13562]) ).
tcf(c_3327,plain,
! [X0: $i,X1: $i] :
( v1_funct_1(X0)
| ~ m2_finseq_1(X0,X1) ),
inference(cnf_transformation,[],[f13565]) ).
tcf(c_3328,plain,
! [X0: $i,X1: $i] :
( v1_finseq_1(X0)
| ~ m2_finseq_1(X0,X1) ),
inference(cnf_transformation,[],[f13564]) ).
tcf(c_3329,plain,
! [X0: $i,X1: $i] :
( m2_relset_1(X0,k5_numbers,X1)
| ~ m2_finseq_1(X0,X1) ),
inference(cnf_transformation,[],[f13563]) ).
tcf(c_3330,plain,
! [X0: $i] :
( v1_finset_1(k2_relat_1(X0))
| ~ v1_finseq_1(X0)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0) ),
inference(cnf_transformation,[],[f15319]) ).
tcf(c_3331,plain,
! [X0: $i] :
( v1_relat_1(sK522(X0))
| ~ v1_finset_1(X0) ),
inference(cnf_transformation,[],[f13569]) ).
tcf(c_3332,plain,
! [X0: $i] :
( v1_funct_1(sK522(X0))
| ~ v1_finset_1(X0) ),
inference(cnf_transformation,[],[f13568]) ).
tcf(c_3333,plain,
! [X0: $i] :
( v1_finseq_1(sK522(X0))
| ~ v1_finset_1(X0) ),
inference(cnf_transformation,[],[f13567]) ).
tcf(c_3334,plain,
! [X0: $i] :
( ( k2_relat_1(sK522(X0)) = X0 )
| ~ v1_finset_1(X0) ),
inference(cnf_transformation,[],[f13566]) ).
tcf(c_3337,plain,
( ( k3_finseq_1(np__0) = np__0 )
| ~ v1_finseq_1(np__0)
| ~ v1_relat_1(np__0)
| ~ v1_funct_1(np__0) ),
inference(cnf_transformation,[],[f15321]) ).
tcf(c_3338,plain,
! [X0: $i] :
( ( X0 = np__0 )
| ~ v1_finseq_1(X0)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0)
| ( k3_finseq_1(X0) != np__0 ) ),
inference(cnf_transformation,[],[f14985]) ).
tcf(c_3339,plain,
v1_relat_1(np__0),
inference(cnf_transformation,[],[f14986]) ).
tcf(c_3340,plain,
v1_funct_1(np__0),
inference(cnf_transformation,[],[f14987]) ).
tcf(c_3341,plain,
v1_finseq_1(np__0),
inference(cnf_transformation,[],[f14988]) ).
tcf(c_3342,plain,
~ v1_xboole_0(sK523),
inference(cnf_transformation,[],[f13582]) ).
tcf(c_3343,plain,
v1_relat_1(sK523),
inference(cnf_transformation,[],[f13581]) ).
tcf(c_3344,plain,
v1_funct_1(sK523),
inference(cnf_transformation,[],[f13580]) ).
tcf(c_3345,plain,
v1_finset_1(sK523),
inference(cnf_transformation,[],[f13579]) ).
tcf(c_3346,plain,
v1_finseq_1(sK523),
inference(cnf_transformation,[],[f13578]) ).
tcf(c_3347,plain,
! [X0: $i] : m1_relset_1(sK524(X0),k5_numbers,X0),
inference(cnf_transformation,[],[f13587]) ).
tcf(c_3348,plain,
! [X0: $i] : v1_relat_1(sK524(X0)),
inference(cnf_transformation,[],[f13586]) ).
tcf(c_3349,plain,
! [X0: $i] : v1_funct_1(sK524(X0)),
inference(cnf_transformation,[],[f13585]) ).
tcf(c_3350,plain,
! [X0: $i] : v1_finset_1(sK524(X0)),
inference(cnf_transformation,[],[f13584]) ).
tcf(c_3351,plain,
! [X0: $i] : v1_finseq_1(sK524(X0)),
inference(cnf_transformation,[],[f13583]) ).
tcf(c_3352,plain,
! [X0: $i] :
( v1_finset_1(X0)
| ~ v1_finseq_1(X0)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0) ),
inference(cnf_transformation,[],[f13588]) ).
tcf(c_3353,plain,
v1_relat_1(sK525),
inference(cnf_transformation,[],[f13593]) ).
tcf(c_3354,plain,
v1_funct_1(sK525),
inference(cnf_transformation,[],[f13592]) ).
tcf(c_3355,plain,
v1_finseq_1(sK525),
inference(cnf_transformation,[],[f13591]) ).
tcf(c_3356,plain,
! [X0: $i,X1: $i] :
( ~ v1_relat_2(np__0)
| ~ r2_hidden(X1,X0)
| ~ v1_partfun1(np__0,X0,X0)
| ~ m2_relset_1(np__0,X0,X0) ),
inference(cnf_transformation,[],[f15322]) ).
tcf(c_3357,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(k2_tarski(k2_tarski(X2,X2),k2_enumset1(X2,X2,X2,X2)),X0)
| ~ v1_relat_2(X0)
| ~ r2_hidden(X2,X1)
| ~ v1_partfun1(X0,X1,X1)
| ~ m2_relset_1(X0,X1,X1) ),
inference(cnf_transformation,[],[f14990]) ).
tcf(c_3359,plain,
! [X0: $i,X1: $i] :
( v1_relat_2(k3_tarski(k2_tarski(X0,X1)))
| ~ v1_relat_2(X1)
| ~ v1_relat_2(X0)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f14991]) ).
tcf(c_3360,plain,
! [X0: $i,X1: $i] :
( v1_relat_2(k4_xboole_0(X0,k4_xboole_0(X0,X1)))
| ~ v1_relat_2(X1)
| ~ v1_relat_2(X0)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f14992]) ).
tcf(c_3361,plain,
! [X0: $i] :
( ( k1_relat_1(k4_relat_1(X0)) = k1_relat_1(X0) )
| ~ v1_relat_2(X0)
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f13601]) ).
tcf(c_3362,plain,
! [X0: $i] :
( ( k2_relat_1(k4_relat_1(X0)) = k2_relat_1(X0) )
| ~ v1_relat_2(X0)
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f13600]) ).
tcf(c_3363,plain,
! [X0: $i] :
( v1_relat_2(k4_relat_1(X0))
| ~ v1_relat_2(X0)
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f13602]) ).
tcf(c_3364,plain,
! [X0: $i] :
( v1_relat_2(X0)
| ~ v8_relat_2(X0)
| ~ v3_relat_2(X0)
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f13603]) ).
tcf(c_3365,plain,
! [X0: $i] :
( v8_relat_2(k4_relat_1(X0))
| ~ v8_relat_2(X0)
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f13604]) ).
tcf(c_3366,plain,
! [X0: $i] :
( v3_relat_2(k4_relat_1(X0))
| ~ v3_relat_2(X0)
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f13605]) ).
tcf(c_3367,plain,
! [X0: $i] :
( v3_relat_2(X0)
| ~ v1_relat_1(X0)
| ( k4_relat_1(X0) != X0 ) ),
inference(cnf_transformation,[],[f13607]) ).
tcf(c_3368,plain,
! [X0: $i] :
( ( k4_relat_1(X0) = X0 )
| ~ v3_relat_2(X0)
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f13606]) ).
tcf(c_3369,plain,
! [X0: $i] :
( ( k4_relat_1(X0) = k2_funct_1(X0) )
| ~ v2_funct_1(X0)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0) ),
inference(cnf_transformation,[],[f13608]) ).
tcf(c_3371,plain,
! [X0: $i] :
( v1_funct_1(k4_relat_1(X0))
| ~ v2_funct_1(X0)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0) ),
inference(cnf_transformation,[],[f13609]) ).
tcf(c_3372,plain,
! [X0: $i] :
( ( k4_relat_1(k4_relat_1(X0)) = X0 )
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f13611]) ).
tcf(c_3373,plain,
! [X0: $i] :
( v1_relat_1(k4_relat_1(X0))
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f13612]) ).
tcf(c_3374,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k4_xboole_0(k2_relat_1(X0),k4_xboole_0(k2_relat_1(X0),X1)),k10_relat_1(k4_relat_1(X0),k10_relat_1(X0,X1)))
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f14993]) ).
tcf(c_3375,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k4_xboole_0(k1_relat_1(X0),k4_xboole_0(k1_relat_1(X0),X1)),k9_relat_1(k4_relat_1(X0),k9_relat_1(X0,X1)))
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f14994]) ).
tcf(c_3376,plain,
! [X0: $i] : k4_relat_1(k6_partfun1(X0)) = k6_partfun1(X0),
inference(cnf_transformation,[],[f14995]) ).
tcf(c_3377,plain,
k4_relat_1(np__0) = np__0,
inference(cnf_transformation,[],[f14996]) ).
tcf(c_3378,plain,
! [X0: $i,X1: $i] :
( ( k5_relat_1(k4_relat_1(X1),k4_relat_1(X0)) = k4_relat_1(k5_relat_1(X0,X1)) )
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f13617]) ).
tcf(c_3379,plain,
! [X0: $i,X1: $i] :
( ( k4_xboole_0(k4_relat_1(X0),k4_relat_1(X1)) = k4_relat_1(k4_xboole_0(X0,X1)) )
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f13618]) ).
tcf(c_3380,plain,
! [X0: $i,X1: $i] :
( ( k3_tarski(k2_tarski(k4_relat_1(X0),k4_relat_1(X1))) = k4_relat_1(k3_tarski(k2_tarski(X0,X1))) )
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f14997]) ).
tcf(c_3381,plain,
! [X0: $i,X1: $i] :
( ( k4_xboole_0(k4_relat_1(X0),k4_xboole_0(k4_relat_1(X0),k4_relat_1(X1))) = k4_relat_1(k4_xboole_0(X0,k4_xboole_0(X0,X1))) )
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f14998]) ).
tcf(c_3382,plain,
! [X0: $i] :
( ( k1_relat_1(k4_relat_1(X0)) = k2_relat_1(X0) )
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f13622]) ).
tcf(c_3383,plain,
! [X0: $i] :
( ( k2_relat_1(k4_relat_1(X0)) = k1_relat_1(X0) )
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f13621]) ).
tcf(c_3384,plain,
! [X0: $i,X1: $i] :
( ( k4_relat_1(X0) = X1 )
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0)
| ~ r2_hidden(k2_tarski(k2_tarski(sK526(X0,X1),sK527(X0,X1)),k2_enumset1(sK526(X0,X1),sK526(X0,X1),sK526(X0,X1),sK526(X0,X1))),X1)
| ~ r2_hidden(k2_tarski(k2_tarski(sK527(X0,X1),sK526(X0,X1)),k2_enumset1(sK527(X0,X1),sK527(X0,X1),sK527(X0,X1),sK527(X0,X1))),X0) ),
inference(cnf_transformation,[],[f14999]) ).
tcf(c_3385,plain,
! [X0: $i,X1: $i] :
( r2_hidden(k2_tarski(k2_tarski(sK526(X0,X1),sK527(X0,X1)),k2_enumset1(sK526(X0,X1),sK526(X0,X1),sK526(X0,X1),sK526(X0,X1))),X1)
| r2_hidden(k2_tarski(k2_tarski(sK527(X0,X1),sK526(X0,X1)),k2_enumset1(sK527(X0,X1),sK527(X0,X1),sK527(X0,X1),sK527(X0,X1))),X0)
| ( k4_relat_1(X0) = X1 )
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f15000]) ).
tcf(c_3386,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(k2_tarski(k2_tarski(X1,X0),k2_enumset1(X1,X1,X1,X1)),k4_relat_1(X2))
| ~ v1_relat_1(X2)
| ~ v1_relat_1(k4_relat_1(X2))
| ~ r2_hidden(k2_tarski(k2_tarski(X0,X1),k2_enumset1(X0,X0,X0,X0)),X2) ),
inference(cnf_transformation,[],[f15323]) ).
tcf(c_3387,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(k2_tarski(k2_tarski(X1,X0),k2_enumset1(X1,X1,X1,X1)),X2)
| ~ v1_relat_1(X2)
| ~ v1_relat_1(k4_relat_1(X2))
| ~ r2_hidden(k2_tarski(k2_tarski(X0,X1),k2_enumset1(X0,X0,X0,X0)),k4_relat_1(X2)) ),
inference(cnf_transformation,[],[f15324]) ).
tcf(c_3388,plain,
! [X0: $i] :
( v1_xboole_0(k4_relat_1(X0))
| ~ v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f13628]) ).
tcf(c_3389,plain,
! [X0: $i] :
( v1_relat_1(k4_relat_1(X0))
| ~ v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f13627]) ).
tcf(c_3390,plain,
! [X0: $i] :
( ~ l1_cat_1(X0)
| ~ v1_xboole_0(u1_cat_1(X0)) ),
inference(cnf_transformation,[],[f13629]) ).
tcf(c_3391,plain,
l1_cat_1(sK528),
inference(cnf_transformation,[],[f13630]) ).
tcf(c_3392,plain,
l1_cat_1(sK529),
inference(cnf_transformation,[],[f13632]) ).
tcf(c_3393,plain,
v2_cat_1(sK529),
inference(cnf_transformation,[],[f13631]) ).
tcf(c_3394,plain,
! [X0: $i] :
( ~ l1_cat_1(X0)
| ~ v1_xboole_0(u2_cat_1(X0)) ),
inference(cnf_transformation,[],[f13633]) ).
tcf(c_3395,plain,
! [X0: $i,X1: $i] :
( v2_cat_1(k11_cat_2(X0,X1))
| ~ l1_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X1)
| ~ v2_cat_1(X0) ),
inference(cnf_transformation,[],[f13635]) ).
tcf(c_3396,plain,
! [X0: $i,X1: $i] :
( l1_cat_1(k11_cat_2(X0,X1))
| ~ l1_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X1)
| ~ v2_cat_1(X0) ),
inference(cnf_transformation,[],[f13634]) ).
tcf(c_3397,plain,
l1_rlvect_1(sK530),
inference(cnf_transformation,[],[f13636]) ).
tcf(c_3398,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X1)
| ( k5_rlvect_1(X1,k2_rlvect_1(X1,k5_rlvect_1(X1,X0),X2)) = k2_rlvect_1(X1,k5_rlvect_1(X1,X2),X0) )
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ l1_rlvect_1(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f13637]) ).
tcf(c_3399,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X1)
| ( k5_rlvect_1(X1,k2_rlvect_1(X1,k5_rlvect_1(X1,X2),k5_rlvect_1(X1,X0))) = k2_rlvect_1(X1,X0,X2) )
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ l1_rlvect_1(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f13638]) ).
tcf(c_3401,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X0)
| ( k5_rlvect_1(X0,X1) = X2 )
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ l1_rlvect_1(X0)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ( k2_rlvect_1(X0,X1,X2) != k1_rlvect_1(X0) ) ),
inference(cnf_transformation,[],[f13639]) ).
tcf(c_3402,plain,
! [X0: $i] :
( sP32(X0)
| v3_struct_0(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| ~ l1_rlvect_1(X0) ),
inference(cnf_transformation,[],[f13647]) ).
tcf(c_3403,plain,
! [X0: $i] :
( ~ sP32(X0)
| ~ v3_struct_0(X0) ),
inference(cnf_transformation,[],[f13646]) ).
tcf(c_3404,plain,
! [X0: $i] :
( v3_rlvect_1(X0)
| ~ sP32(X0) ),
inference(cnf_transformation,[],[f13645]) ).
tcf(c_3405,plain,
! [X0: $i] :
( v4_rlvect_1(X0)
| ~ sP32(X0) ),
inference(cnf_transformation,[],[f13644]) ).
tcf(c_3406,plain,
! [X0: $i] :
( v5_rlvect_1(X0)
| ~ sP32(X0) ),
inference(cnf_transformation,[],[f13643]) ).
tcf(c_3407,plain,
! [X0: $i] :
( v6_rlvect_1(X0)
| ~ sP32(X0) ),
inference(cnf_transformation,[],[f13642]) ).
tcf(c_3408,plain,
! [X0: $i] :
( l1_rlvect_1(X0)
| ~ sP32(X0) ),
inference(cnf_transformation,[],[f13641]) ).
tcf(c_3418,plain,
! [X0: $i] :
( sP31(X0)
| v3_struct_0(X0)
| ~ sP32(X0)
| ~ l1_rlvect_1(X0) ),
inference(cnf_transformation,[],[f13658]) ).
tcf(c_3419,plain,
! [X0: $i] :
( sP32(X0)
| v3_struct_0(X0)
| ~ sP31(X0)
| ~ l1_rlvect_1(X0) ),
inference(cnf_transformation,[],[f13657]) ).
tcf(c_3420,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X1)
| m1_subset_1(k2_rlvect_1(X1,X0,X2),u1_struct_0(X1))
| ~ l1_rlvect_1(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f13659]) ).
tcf(c_3421,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X1)
| ( k2_rlvect_1(X1,k5_rlvect_1(X1,X2),k5_rlvect_1(X1,X0)) = k5_rlvect_1(X1,k2_rlvect_1(X1,X0,X2)) )
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ l1_rlvect_1(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f13660]) ).
tcf(c_3422,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X0)
| ( k1_rlvect_1(X0) = X2 )
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ l1_rlvect_1(X0)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ( k2_rlvect_1(X0,X1,X2) != X1 ) ),
inference(cnf_transformation,[],[f13662]) ).
tcf(c_3423,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X0)
| ( k1_rlvect_1(X0) = X1 )
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ l1_rlvect_1(X0)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ( k2_rlvect_1(X0,X1,X2) != X2 ) ),
inference(cnf_transformation,[],[f13661]) ).
tcf(c_3424,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( v3_struct_0(X0)
| ( X2 = X3 )
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ l1_rlvect_1(X0)
| ~ m1_subset_1(X4,u1_struct_0(X0))
| ~ m1_subset_1(X3,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ( k2_rlvect_1(X0,X1,X2) != k2_rlvect_1(X0,X1,X3) ) ),
inference(cnf_transformation,[],[f13664]) ).
tcf(c_3425,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( v3_struct_0(X0)
| ( X1 = X3 )
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ l1_rlvect_1(X0)
| ~ m1_subset_1(X4,u1_struct_0(X0))
| ~ m1_subset_1(X3,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ( k2_rlvect_1(X0,X1,X2) != k2_rlvect_1(X0,X3,X2) ) ),
inference(cnf_transformation,[],[f13663]) ).
tcf(c_3426,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X1)
| m1_subset_1(sK535(X1,X0,X2),u1_struct_0(X1))
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ l1_rlvect_1(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f13666]) ).
tcf(c_3427,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X1)
| ( k2_rlvect_1(X1,X0,sK535(X1,X0,X2)) = X2 )
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ l1_rlvect_1(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f13665]) ).
tcf(c_3428,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X0)
| ( k5_rlvect_1(X0,X2) = X1 )
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ l1_rlvect_1(X0)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ( k2_rlvect_1(X0,X1,X2) != k1_rlvect_1(X0) ) ),
inference(cnf_transformation,[],[f13667]) ).
tcf(c_3429,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| ( k2_rlvect_1(X1,X0,k5_rlvect_1(X1,X0)) = k1_rlvect_1(X1) )
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ l1_rlvect_1(X1)
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f13669]) ).
tcf(c_3430,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| ( k2_rlvect_1(X1,k5_rlvect_1(X1,X0),X0) = k1_rlvect_1(X1) )
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ l1_rlvect_1(X1)
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f13668]) ).
tcf(c_3431,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X0)
| ( k5_rlvect_1(X0,X1) = X2 )
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ l1_rlvect_1(X0)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ( k2_rlvect_1(X0,X1,X2) != k1_rlvect_1(X0) ) ),
inference(cnf_transformation,[],[f13671]) ).
tcf(c_3433,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| ( k2_rlvect_1(X1,X0,k1_rlvect_1(X1)) = X0 )
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ l1_rlvect_1(X1)
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f13673]) ).
tcf(c_3434,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| ( k2_rlvect_1(X1,k1_rlvect_1(X1),X0) = X0 )
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ l1_rlvect_1(X1)
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f13672]) ).
tcf(c_3435,plain,
! [X0: $i,X1: $i] :
( v6_rlvect_1(X0)
| v3_struct_0(X0)
| ~ l1_rlvect_1(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ( k2_rlvect_1(X0,sK536(X0),X1) != k1_rlvect_1(X0) ) ),
inference(cnf_transformation,[],[f13677]) ).
tcf(c_3436,plain,
! [X0: $i] :
( v6_rlvect_1(X0)
| v3_struct_0(X0)
| m1_subset_1(sK536(X0),u1_struct_0(X0))
| ~ l1_rlvect_1(X0) ),
inference(cnf_transformation,[],[f13676]) ).
tcf(c_3437,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| m1_subset_1(sK537(X1,X0),u1_struct_0(X1))
| ~ v6_rlvect_1(X1)
| ~ l1_rlvect_1(X1)
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f13675]) ).
tcf(c_3438,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| ( k2_rlvect_1(X1,X0,sK537(X1,X0)) = k1_rlvect_1(X1) )
| ~ v6_rlvect_1(X1)
| ~ l1_rlvect_1(X1)
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f13674]) ).
tcf(c_3439,plain,
! [X0: $i] :
( v5_rlvect_1(X0)
| v3_struct_0(X0)
| ~ l1_rlvect_1(X0)
| ( k2_rlvect_1(X0,sK538(X0),k1_rlvect_1(X0)) != sK538(X0) ) ),
inference(cnf_transformation,[],[f13680]) ).
tcf(c_3440,plain,
! [X0: $i] :
( v5_rlvect_1(X0)
| v3_struct_0(X0)
| m1_subset_1(sK538(X0),u1_struct_0(X0))
| ~ l1_rlvect_1(X0) ),
inference(cnf_transformation,[],[f13679]) ).
tcf(c_3441,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| ( k2_rlvect_1(X1,X0,k1_rlvect_1(X1)) = X0 )
| ~ v5_rlvect_1(X1)
| ~ l1_rlvect_1(X1)
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f13678]) ).
tcf(c_3442,plain,
! [X0: $i] :
( v4_rlvect_1(X0)
| v3_struct_0(X0)
| ~ l1_rlvect_1(X0)
| ( k2_rlvect_1(X0,k2_rlvect_1(X0,sK539(X0),sK540(X0)),sK541(X0)) != k2_rlvect_1(X0,sK539(X0),k2_rlvect_1(X0,sK540(X0),sK541(X0))) ) ),
inference(cnf_transformation,[],[f13685]) ).
tcf(c_3443,plain,
! [X0: $i] :
( v4_rlvect_1(X0)
| v3_struct_0(X0)
| m1_subset_1(sK541(X0),u1_struct_0(X0))
| ~ l1_rlvect_1(X0) ),
inference(cnf_transformation,[],[f13684]) ).
tcf(c_3444,plain,
! [X0: $i] :
( v4_rlvect_1(X0)
| v3_struct_0(X0)
| m1_subset_1(sK540(X0),u1_struct_0(X0))
| ~ l1_rlvect_1(X0) ),
inference(cnf_transformation,[],[f13683]) ).
tcf(c_3445,plain,
! [X0: $i] :
( v4_rlvect_1(X0)
| v3_struct_0(X0)
| m1_subset_1(sK539(X0),u1_struct_0(X0))
| ~ l1_rlvect_1(X0) ),
inference(cnf_transformation,[],[f13682]) ).
tcf(c_3446,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v3_struct_0(X1)
| ( k2_rlvect_1(X1,k2_rlvect_1(X1,X0,X2),X3) = k2_rlvect_1(X1,X0,k2_rlvect_1(X1,X2,X3)) )
| ~ v4_rlvect_1(X1)
| ~ l1_rlvect_1(X1)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f13681]) ).
tcf(c_3447,plain,
! [X0: $i] :
( v3_rlvect_1(X0)
| v3_struct_0(X0)
| ~ l1_rlvect_1(X0)
| ( k2_rlvect_1(X0,sK542(X0),sK543(X0)) != k2_rlvect_1(X0,sK543(X0),sK542(X0)) ) ),
inference(cnf_transformation,[],[f13689]) ).
tcf(c_3448,plain,
! [X0: $i] :
( v3_rlvect_1(X0)
| v3_struct_0(X0)
| m1_subset_1(sK543(X0),u1_struct_0(X0))
| ~ l1_rlvect_1(X0) ),
inference(cnf_transformation,[],[f13688]) ).
tcf(c_3449,plain,
! [X0: $i] :
( v3_rlvect_1(X0)
| v3_struct_0(X0)
| m1_subset_1(sK542(X0),u1_struct_0(X0))
| ~ l1_rlvect_1(X0) ),
inference(cnf_transformation,[],[f13687]) ).
tcf(c_3450,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X1)
| ( k2_rlvect_1(X1,X0,X2) = k2_rlvect_1(X1,X2,X0) )
| ~ v3_rlvect_1(X1)
| ~ l1_rlvect_1(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f13686]) ).
tcf(c_3451,plain,
! [X0: $i] :
( v1_funct_1(u1_rlvect_1(X0))
| ~ l1_rlvect_1(X0) ),
inference(cnf_transformation,[],[f13692]) ).
tcf(c_3452,plain,
! [X0: $i] :
( v1_funct_2(u1_rlvect_1(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ l1_rlvect_1(X0) ),
inference(cnf_transformation,[],[f13691]) ).
tcf(c_3453,plain,
! [X0: $i] :
( m2_relset_1(u1_rlvect_1(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ l1_rlvect_1(X0) ),
inference(cnf_transformation,[],[f13690]) ).
tcf(c_3454,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X1)
| ( k2_binop_1(u1_struct_0(X1),u1_struct_0(X1),u1_struct_0(X1),u1_rlvect_1(X1),X0,X2) = k2_rlvect_1(X1,X0,X2) )
| ~ l1_rlvect_1(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f13693]) ).
tcf(c_3455,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( v1_xboole_0(X1)
| v1_xboole_0(X0)
| r2_binop_1(X0,X2,X4)
| ~ v1_funct_1(X5)
| ~ v1_funct_1(X4)
| ~ m1_subset_1(X3,X1)
| ~ m1_subset_1(X2,X0)
| ~ m2_relset_1(X5,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(X4,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X5,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X4,k2_zfmisc_1(X0,X0),X0)
| ~ r2_binop_1(k2_zfmisc_1(X0,X1),k1_domain_1(X0,X1,X2,X3),k7_filter_1(X0,X1,X4,X5)) ),
inference(cnf_transformation,[],[f13696]) ).
tcf(c_3456,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( v1_xboole_0(X1)
| v1_xboole_0(X0)
| r2_binop_1(X1,X3,X5)
| ~ v1_funct_1(X5)
| ~ v1_funct_1(X4)
| ~ m1_subset_1(X3,X1)
| ~ m1_subset_1(X2,X0)
| ~ m2_relset_1(X5,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(X4,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X5,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X4,k2_zfmisc_1(X0,X0),X0)
| ~ r2_binop_1(k2_zfmisc_1(X0,X1),k1_domain_1(X0,X1,X2,X3),k7_filter_1(X0,X1,X4,X5)) ),
inference(cnf_transformation,[],[f13695]) ).
tcf(c_3457,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( v1_xboole_0(X3)
| v1_xboole_0(X1)
| r2_binop_1(k2_zfmisc_1(X1,X3),k1_domain_1(X1,X3,X4,X5),k7_filter_1(X1,X3,X0,X2))
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X0)
| ~ m1_subset_1(X5,X3)
| ~ m1_subset_1(X4,X1)
| ~ r2_binop_1(X3,X5,X2)
| ~ r2_binop_1(X1,X4,X0)
| ~ m2_relset_1(X2,k2_zfmisc_1(X3,X3),X3)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X2,k2_zfmisc_1(X3,X3),X3)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1) ),
inference(cnf_transformation,[],[f13694]) ).
tcf(c_3458,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_xboole_0(X0)
| r2_binop_1(X0,X2,X1)
| ~ v1_funct_1(X1)
| ~ m1_subset_1(X2,X0)
| ~ m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ( k2_binop_1(X0,X0,X0,X1,sK544(X0,X2,X1),X2) != sK544(X0,X2,X1) ) ),
inference(cnf_transformation,[],[f13699]) ).
tcf(c_3459,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_xboole_0(X1)
| r2_binop_1(X1,X2,X0)
| m1_subset_1(sK544(X1,X2,X0),X1)
| ~ v1_funct_1(X0)
| ~ m1_subset_1(X2,X1)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1) ),
inference(cnf_transformation,[],[f13698]) ).
tcf(c_3460,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v1_xboole_0(X1)
| ( k2_binop_1(X1,X1,X1,X0,X3,X2) = X3 )
| ~ v1_funct_1(X0)
| ~ m1_subset_1(X3,X1)
| ~ m1_subset_1(X2,X1)
| ~ r2_binop_1(X1,X2,X0)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1) ),
inference(cnf_transformation,[],[f13697]) ).
tcf(c_3461,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X2 = X3 )
| ~ v1_funct_1(X0)
| ~ m1_subset_1(X3,X1)
| ~ m1_subset_1(X2,X1)
| ~ r1_binop_1(X1,X3,X0)
| ~ r2_binop_1(X1,X2,X0)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1) ),
inference(cnf_transformation,[],[f13700]) ).
tcf(c_3462,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_binop_1(X1,X2,X0)
| ~ v1_funct_1(X0)
| ~ v1_binop_1(X0,X1)
| ~ m1_subset_1(X2,X1)
| ~ r2_binop_1(X1,X2,X0)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1) ),
inference(cnf_transformation,[],[f13702]) ).
tcf(c_3463,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_binop_1(X1,X2,X0)
| ~ v1_funct_1(X0)
| ~ v1_binop_1(X0,X1)
| ~ m1_subset_1(X2,X1)
| ~ r1_binop_1(X1,X2,X0)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1) ),
inference(cnf_transformation,[],[f13701]) ).
tcf(c_3464,plain,
! [X0: $i,X1: $i,X2: $i] :
( r3_binop_1(X1,X2,X0)
| ~ v1_funct_1(X0)
| ~ v1_binop_1(X0,X1)
| ~ m1_subset_1(X2,X1)
| ~ r2_binop_1(X1,X2,X0)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1) ),
inference(cnf_transformation,[],[f13704]) ).
tcf(c_3466,plain,
! [X0: $i,X1: $i,X2: $i] :
( r3_binop_1(X1,X2,X0)
| ~ v1_funct_1(X0)
| ~ m1_subset_1(X2,X1)
| ~ r1_binop_1(X1,X2,X0)
| ~ r2_binop_1(X1,X2,X0)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1) ),
inference(cnf_transformation,[],[f13707]) ).
tcf(c_3467,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_binop_1(X1,X2,X0)
| ~ v1_funct_1(X0)
| ~ m1_subset_1(X2,X1)
| ~ r3_binop_1(X1,X2,X0)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1) ),
inference(cnf_transformation,[],[f13706]) ).
tcf(c_3468,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_binop_1(X1,X2,X0)
| ~ v1_funct_1(X0)
| ~ m1_subset_1(X2,X1)
| ~ r3_binop_1(X1,X2,X0)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1) ),
inference(cnf_transformation,[],[f13705]) ).
tcf(c_3469,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_binop_1(X1,X2,X0)
| ~ v1_funct_1(X0)
| ~ m1_subset_1(X2,X1)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1)
| ( k1_binop_1(X0,sK545(X1,X2,X0),X2) != sK545(X1,X2,X0) ) ),
inference(cnf_transformation,[],[f13710]) ).
tcf(c_3470,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_binop_1(X1,X2,X0)
| m1_subset_1(sK545(X1,X2,X0),X1)
| ~ v1_funct_1(X0)
| ~ m1_subset_1(X2,X1)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1) ),
inference(cnf_transformation,[],[f13709]) ).
tcf(c_3471,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( k1_binop_1(X0,X3,X2) = X3 )
| ~ v1_funct_1(X0)
| ~ m1_subset_1(X3,X1)
| ~ m1_subset_1(X2,X1)
| ~ r2_binop_1(X1,X2,X0)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1) ),
inference(cnf_transformation,[],[f13708]) ).
tcf(c_3472,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( v1_xboole_0(X1)
| v1_xboole_0(X0)
| r1_binop_1(X0,X2,X4)
| ~ v1_funct_1(X5)
| ~ v1_funct_1(X4)
| ~ m1_subset_1(X3,X1)
| ~ m1_subset_1(X2,X0)
| ~ m2_relset_1(X5,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(X4,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X5,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X4,k2_zfmisc_1(X0,X0),X0)
| ~ r1_binop_1(k2_zfmisc_1(X0,X1),k1_domain_1(X0,X1,X2,X3),k7_filter_1(X0,X1,X4,X5)) ),
inference(cnf_transformation,[],[f13713]) ).
tcf(c_3473,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( v1_xboole_0(X1)
| v1_xboole_0(X0)
| r1_binop_1(X1,X3,X5)
| ~ v1_funct_1(X5)
| ~ v1_funct_1(X4)
| ~ m1_subset_1(X3,X1)
| ~ m1_subset_1(X2,X0)
| ~ m2_relset_1(X5,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(X4,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X5,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X4,k2_zfmisc_1(X0,X0),X0)
| ~ r1_binop_1(k2_zfmisc_1(X0,X1),k1_domain_1(X0,X1,X2,X3),k7_filter_1(X0,X1,X4,X5)) ),
inference(cnf_transformation,[],[f13712]) ).
tcf(c_3474,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( v1_xboole_0(X3)
| v1_xboole_0(X1)
| r1_binop_1(k2_zfmisc_1(X1,X3),k1_domain_1(X1,X3,X4,X5),k7_filter_1(X1,X3,X0,X2))
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X0)
| ~ m1_subset_1(X5,X3)
| ~ m1_subset_1(X4,X1)
| ~ r1_binop_1(X3,X5,X2)
| ~ r1_binop_1(X1,X4,X0)
| ~ m2_relset_1(X2,k2_zfmisc_1(X3,X3),X3)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X2,k2_zfmisc_1(X3,X3),X3)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1) ),
inference(cnf_transformation,[],[f13711]) ).
tcf(c_3475,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_xboole_0(X0)
| r1_binop_1(X0,X2,X1)
| ~ v1_funct_1(X1)
| ~ m1_subset_1(X2,X0)
| ~ m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ( k2_binop_1(X0,X0,X0,X1,X2,sK546(X0,X2,X1)) != sK546(X0,X2,X1) ) ),
inference(cnf_transformation,[],[f13716]) ).
tcf(c_3476,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_xboole_0(X1)
| r1_binop_1(X1,X2,X0)
| m1_subset_1(sK546(X1,X2,X0),X1)
| ~ v1_funct_1(X0)
| ~ m1_subset_1(X2,X1)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1) ),
inference(cnf_transformation,[],[f13715]) ).
tcf(c_3477,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v1_xboole_0(X1)
| ( k2_binop_1(X1,X1,X1,X0,X2,X3) = X3 )
| ~ v1_funct_1(X0)
| ~ m1_subset_1(X3,X1)
| ~ m1_subset_1(X2,X1)
| ~ r1_binop_1(X1,X2,X0)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1) ),
inference(cnf_transformation,[],[f13714]) ).
tcf(c_3478,plain,
! [X0: $i,X1: $i,X2: $i] :
( r3_binop_1(X1,X2,X0)
| ~ v1_funct_1(X0)
| ~ v1_binop_1(X0,X1)
| ~ m1_subset_1(X2,X1)
| ~ r1_binop_1(X1,X2,X0)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1) ),
inference(cnf_transformation,[],[f13718]) ).
tcf(c_3480,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_binop_1(X2,X1,X0)
| ~ v1_funct_1(X0)
| ~ m1_subset_1(X1,X2)
| ~ m2_relset_1(X0,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_2(X0,k2_zfmisc_1(X2,X2),X2)
| ( k1_binop_1(X0,X1,sK547(X2,X1,X0)) != sK547(X2,X1,X0) ) ),
inference(cnf_transformation,[],[f13721]) ).
tcf(c_3481,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_binop_1(X1,X2,X0)
| m1_subset_1(sK547(X1,X2,X0),X1)
| ~ v1_funct_1(X0)
| ~ m1_subset_1(X2,X1)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1) ),
inference(cnf_transformation,[],[f13720]) ).
tcf(c_3482,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( k1_binop_1(X0,X2,X3) = X3 )
| ~ v1_funct_1(X0)
| ~ m1_subset_1(X3,X1)
| ~ m1_subset_1(X2,X1)
| ~ r1_binop_1(X1,X2,X0)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1) ),
inference(cnf_transformation,[],[f13719]) ).
tcf(c_3484,plain,
! [X0: $i] :
( v3_struct_0(X0)
| v1_funct_2(k6_partfun1(u1_struct_0(X0)),u1_struct_0(X0),u1_struct_0(X0))
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f13724]) ).
tcf(c_3485,plain,
! [X0: $i] :
( v3_struct_0(X0)
| v1_group_6(k6_partfun1(u1_struct_0(X0)),X0,X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f13723]) ).
tcf(c_3487,plain,
! [X0: $i,X1: $i] :
( ( k3_funct_2(X1,X1,k6_partfun1(X1),X0) = X0 )
| ~ m1_subset_1(X0,k1_zfmisc_1(X1)) ),
inference(cnf_transformation,[],[f13726]) ).
tcf(c_3489,plain,
! [X0: $i] : v3_relat_2(k6_partfun1(X0)),
inference(cnf_transformation,[],[f13731]) ).
tcf(c_3490,plain,
! [X0: $i] : v8_relat_2(k6_partfun1(X0)),
inference(cnf_transformation,[],[f13730]) ).
tcf(c_3493,plain,
! [X0: $i,X1: $i] : k6_partfun1(k3_tarski(k2_tarski(X0,X1))) = k1_funct_4(k6_partfun1(X0),k6_partfun1(X1)),
inference(cnf_transformation,[],[f15003]) ).
tcf(c_3494,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k6_partfun1(X0),k6_partfun1(X1))
| ~ r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f13734]) ).
tcf(c_3495,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,X1)
| ~ r1_tarski(k6_partfun1(X0),k6_partfun1(X1)) ),
inference(cnf_transformation,[],[f13733]) ).
tcf(c_3496,plain,
! [X0: $i,X1: $i] :
( ( k2_relat_1(X0) = np__0 )
| ( k5_relat_1(X0,k2_funct_1(X0)) = k6_partfun1(X1) )
| ~ v2_funct_1(X0)
| ~ v1_funct_1(X0)
| ~ m2_relset_1(X0,X1,k2_relat_1(X0))
| ~ v1_funct_2(X0,X1,k2_relat_1(X0)) ),
inference(cnf_transformation,[],[f15327]) ).
tcf(c_3497,plain,
! [X0: $i,X1: $i] :
( ( k2_relat_1(X0) = np__0 )
| ( k5_relat_1(k2_funct_1(X0),X0) = k6_partfun1(k2_relat_1(X0)) )
| ~ v2_funct_1(X0)
| ~ v1_funct_1(X0)
| ~ m2_relset_1(X0,X1,k2_relat_1(X0))
| ~ v1_funct_2(X0,X1,k2_relat_1(X0)) ),
inference(cnf_transformation,[],[f15328]) ).
tcf(c_3498,plain,
! [X0: $i] : v1_partfun1(k6_partfun1(X0),X0,X0),
inference(cnf_transformation,[],[f13739]) ).
tcf(c_3499,plain,
! [X0: $i] : m2_relset_1(k6_partfun1(X0),X0,X0),
inference(cnf_transformation,[],[f13738]) ).
tcf(c_3500,plain,
! [X0: $i] : ~ r2_hidden(sK548(X0),X0),
inference(cnf_transformation,[],[f13741]) ).
tcf(c_3501,plain,
! [X0: $i] : v3_ordinal1(sK548(X0)),
inference(cnf_transformation,[],[f13740]) ).
tcf(c_3502,plain,
! [X0: $i] :
( ~ v3_ordinal1(sK549(X0))
| ~ r2_hidden(sK549(X0),X0) ),
inference(cnf_transformation,[],[f13743]) ).
tcf(c_3503,plain,
! [X0: $i] :
( v3_ordinal1(sK549(X0))
| r2_hidden(sK549(X0),X0) ),
inference(cnf_transformation,[],[f13742]) ).
tcf(c_3504,plain,
! [X0: $i] :
( r1_tarski(X0,sK551(X0))
| ~ v3_ordinal1(sK550(X0)) ),
inference(cnf_transformation,[],[f13747]) ).
tcf(c_3505,plain,
! [X0: $i] :
( v3_ordinal1(sK551(X0))
| ~ v3_ordinal1(sK550(X0)) ),
inference(cnf_transformation,[],[f13746]) ).
tcf(c_3506,plain,
! [X0: $i] :
( r2_hidden(sK550(X0),X0)
| r1_tarski(X0,sK551(X0)) ),
inference(cnf_transformation,[],[f13745]) ).
tcf(c_3507,plain,
! [X0: $i] :
( v3_ordinal1(sK551(X0))
| r2_hidden(sK550(X0),X0) ),
inference(cnf_transformation,[],[f13744]) ).
tcf(c_3508,plain,
! [X0: $i] :
( v3_ordinal1(X0)
| ~ v3_ordinal1(sK552(X0))
| ~ r1_tarski(sK552(X0),X0) ),
inference(cnf_transformation,[],[f13749]) ).
tcf(c_3509,plain,
! [X0: $i] :
( v3_ordinal1(X0)
| r2_hidden(sK552(X0),X0) ),
inference(cnf_transformation,[],[f13748]) ).
tcf(c_3510,plain,
v3_ordinal1(np__0),
inference(cnf_transformation,[],[f15006]) ).
tcf(c_3511,plain,
! [X0: $i,X1: $i] :
( r2_hidden(X1,X0)
| r2_hidden(X0,X1)
| ( X0 = X1 )
| ~ v3_ordinal1(X1)
| ~ v3_ordinal1(X0) ),
inference(cnf_transformation,[],[f13751]) ).
tcf(c_3512,plain,
! [X0: $i,X1: $i] :
( v3_ordinal1(X0)
| ~ v3_ordinal1(X1)
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f13752]) ).
tcf(c_3513,plain,
! [X0: $i] :
( ( k4_xboole_0(k3_tarski(k2_tarski(X0,k2_enumset1(X0,X0,X0,X0))),k2_enumset1(X0,X0,X0,X0)) = X0 )
| ~ v3_ordinal1(X0) ),
inference(cnf_transformation,[],[f15007]) ).
tcf(c_3514,plain,
! [X0: $i] :
( r1_tarski(k3_tarski(k2_tarski(X0,k2_enumset1(X0,X0,X0,X0))),k1_zfmisc_1(X0))
| ~ v3_ordinal1(X0) ),
inference(cnf_transformation,[],[f15008]) ).
tcf(c_3515,plain,
! [X0: $i] :
( v4_ordinal1(X0)
| ( k3_tarski(k2_tarski(sK553(X0),k2_enumset1(sK553(X0),sK553(X0),sK553(X0),sK553(X0)))) = X0 )
| ~ v3_ordinal1(X0) ),
inference(cnf_transformation,[],[f15009]) ).
tcf(c_3516,plain,
! [X0: $i] :
( v4_ordinal1(X0)
| v3_ordinal1(sK553(X0))
| ~ v3_ordinal1(X0) ),
inference(cnf_transformation,[],[f13756]) ).
tcf(c_3517,plain,
! [X0: $i] :
( ~ v3_ordinal1(X0)
| ~ v4_ordinal1(k3_tarski(k2_tarski(X0,k2_enumset1(X0,X0,X0,X0))))
| ~ v3_ordinal1(k3_tarski(k2_tarski(X0,k2_enumset1(X0,X0,X0,X0)))) ),
inference(cnf_transformation,[],[f15329]) ).
tcf(c_3518,plain,
! [X0: $i] :
( v4_ordinal1(X0)
| ~ v3_ordinal1(X0)
| ~ r2_hidden(k3_tarski(k2_tarski(sK554(X0),k2_enumset1(sK554(X0),sK554(X0),sK554(X0),sK554(X0)))),X0) ),
inference(cnf_transformation,[],[f15011]) ).
tcf(c_3519,plain,
! [X0: $i] :
( v4_ordinal1(X0)
| r2_hidden(sK554(X0),X0)
| ~ v3_ordinal1(X0) ),
inference(cnf_transformation,[],[f13760]) ).
tcf(c_3520,plain,
! [X0: $i] :
( v4_ordinal1(X0)
| v3_ordinal1(sK554(X0))
| ~ v3_ordinal1(X0) ),
inference(cnf_transformation,[],[f13759]) ).
tcf(c_3521,plain,
! [X0: $i,X1: $i] :
( r2_hidden(k3_tarski(k2_tarski(X0,k2_enumset1(X0,X0,X0,X0))),X1)
| ~ v4_ordinal1(X1)
| ~ v3_ordinal1(X1)
| ~ v3_ordinal1(X0)
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f15012]) ).
tcf(c_3522,plain,
! [X0: $i] :
( v3_ordinal1(k3_tarski(k2_tarski(X0,k2_enumset1(X0,X0,X0,X0))))
| ~ v3_ordinal1(X0) ),
inference(cnf_transformation,[],[f15013]) ).
tcf(c_3523,plain,
! [X0: $i] : k3_tarski(k2_tarski(X0,k2_enumset1(X0,X0,X0,X0))) != X0,
inference(cnf_transformation,[],[f15014]) ).
tcf(c_3527,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( k3_tarski(k2_tarski(X0,k2_enumset1(X0,X0,X0,X0))) != k3_tarski(k2_tarski(X1,k2_enumset1(X1,X1,X1,X1))) ) ),
inference(cnf_transformation,[],[f15018]) ).
tcf(c_3529,plain,
! [X0: $i] : ~ v1_xboole_0(k3_tarski(k2_tarski(X0,k2_enumset1(X0,X0,X0,X0)))),
inference(cnf_transformation,[],[f15020]) ).
tcf(c_3542,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X1)
| ( k1_group_1(X1,k6_group_1(X1,X2,X0),X0) = k6_group_1(X1,k2_xcmplx_0(X2,np__1),X0) )
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ v1_int_1(X2)
| ~ l1_group_1(X1)
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f13785]) ).
tcf(c_3543,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X1)
| ( k1_group_1(X1,X0,k6_group_1(X1,X2,X0)) = k6_group_1(X1,k2_xcmplx_0(X2,np__1),X0) )
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ v1_int_1(X2)
| ~ l1_group_1(X1)
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f13784]) ).
tcf(c_3544,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v3_struct_0(X1)
| ( k1_group_1(X1,k6_group_1(X1,X3,X0),k6_group_1(X1,X2,X0)) = k6_group_1(X1,k2_xcmplx_0(X3,X2),X0) )
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ v1_int_1(X3)
| ~ l1_group_1(X1)
| ~ m2_subset_1(X2,k1_numbers,k5_numbers)
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f13786]) ).
tcf(c_3545,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v3_struct_0(X1)
| ( k1_group_1(X1,k6_group_1(X1,X2,X0),k6_group_1(X1,X3,X0)) = k6_group_1(X1,k2_xcmplx_0(X2,X3),X0) )
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ v1_int_1(X3)
| ~ l1_group_1(X1)
| ~ m2_subset_1(X2,k1_numbers,k5_numbers)
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f13787]) ).
tcf(c_3546,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v3_struct_0(X1)
| ( k1_group_1(X1,k6_group_1(X1,X2,X0),k6_group_1(X1,X3,X0)) = k6_group_1(X1,k2_xcmplx_0(X2,X3),X0) )
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ v1_int_1(X3)
| ~ v1_int_1(X2)
| ~ l1_group_1(X1)
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f13788]) ).
tcf(c_3547,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_xreal_0(k2_xcmplx_0(X0,np__1),X2)
| r1_xreal_0(k2_xcmplx_0(X0,np__1),X1)
| ( X1 = X2 )
| ~ v1_xreal_0(X0)
| ~ v1_int_1(X2)
| ~ v1_int_1(X1)
| ~ r1_xreal_0(X0,X2)
| ~ r1_xreal_0(X0,X1) ),
inference(cnf_transformation,[],[f13789]) ).
tcf(c_3548,plain,
! [X0: $i,X1: $i] :
( r1_xreal_0(X1,X0)
| r1_xreal_0(k2_xcmplx_0(X0,np__1),X1)
| ~ v1_int_1(X1)
| ~ v1_int_1(X0) ),
inference(cnf_transformation,[],[f13790]) ).
tcf(c_3549,plain,
! [X0: $i,X1: $i] :
( r1_xreal_0(X0,k2_xcmplx_0(X0,X1))
| ~ v1_int_1(X0)
| ~ m2_subset_1(X1,k1_numbers,k5_numbers)
| ~ v1_int_1(k2_xcmplx_0(X0,X1)) ),
inference(cnf_transformation,[],[f15331]) ).
tcf(c_3550,plain,
! [X0: $i] :
( v1_int_1(k2_xcmplx_0(X0,np__1))
| ~ v1_xreal_0(X0)
| ~ v1_int_1(X0) ),
inference(cnf_transformation,[],[f13793]) ).
tcf(c_3551,plain,
! [X0: $i] :
( v1_int_1(k6_xcmplx_0(X0,np__1))
| ~ v1_xreal_0(X0)
| ~ v1_int_1(X0) ),
inference(cnf_transformation,[],[f13792]) ).
tcf(c_3552,plain,
! [X0: $i,X1: $i] :
( v1_xcmplx_0(k2_xcmplx_0(X1,X0))
| ~ v1_int_1(X1)
| ~ m1_subset_1(X0,k5_numbers) ),
inference(cnf_transformation,[],[f13796]) ).
tcf(c_3553,plain,
! [X0: $i,X1: $i] :
( v1_xreal_0(k2_xcmplx_0(X1,X0))
| ~ v1_int_1(X1)
| ~ m1_subset_1(X0,k5_numbers) ),
inference(cnf_transformation,[],[f13795]) ).
tcf(c_3554,plain,
! [X0: $i,X1: $i] :
( v1_int_1(k2_xcmplx_0(X1,X0))
| ~ v1_int_1(X1)
| ~ m1_subset_1(X0,k5_numbers) ),
inference(cnf_transformation,[],[f13794]) ).
tcf(c_3555,plain,
! [X0: $i,X1: $i] :
( v1_xcmplx_0(k2_xcmplx_0(X0,X1))
| ~ v1_int_1(X1)
| ~ v1_int_1(X0) ),
inference(cnf_transformation,[],[f13799]) ).
tcf(c_3556,plain,
! [X0: $i,X1: $i] :
( v1_xreal_0(k2_xcmplx_0(X0,X1))
| ~ v1_int_1(X1)
| ~ v1_int_1(X0) ),
inference(cnf_transformation,[],[f13798]) ).
tcf(c_3557,plain,
! [X0: $i,X1: $i] :
( v1_int_1(k2_xcmplx_0(X0,X1))
| ~ v1_int_1(X1)
| ~ v1_int_1(X0) ),
inference(cnf_transformation,[],[f13797]) ).
tcf(c_3584,plain,
! [X0: $i,X1: $i] :
( v1_xcmplx_0(k2_xcmplx_0(X0,X1))
| ~ v1_xreal_0(X1)
| ~ v1_xreal_0(X0) ),
inference(cnf_transformation,[],[f13827]) ).
tcf(c_3585,plain,
! [X0: $i,X1: $i] :
( v1_xreal_0(k2_xcmplx_0(X0,X1))
| ~ v1_xreal_0(X1)
| ~ v1_xreal_0(X0) ),
inference(cnf_transformation,[],[f13826]) ).
tcf(c_3586,plain,
! [X0: $i] : m2_finseq_1(sK556(X0),X0),
inference(cnf_transformation,[],[f13828]) ).
tcf(c_3587,plain,
! [X0: $i] : m2_finseq_1(np__0,X0),
inference(cnf_transformation,[],[f15027]) ).
tcf(c_3588,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| ( k9_rlvect_1(X1,X0) = k1_funct_1(X0,np__1) )
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ l1_rlvect_1(X1)
| ~ m2_finseq_1(X0,u1_struct_0(X1))
| ( k3_finseq_1(X0) != np__1 ) ),
inference(cnf_transformation,[],[f13830]) ).
tcf(c_3589,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| ( k9_rlvect_1(X1,X0) = k1_rlvect_1(X1) )
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ l1_rlvect_1(X1)
| ~ m2_finseq_1(X0,u1_struct_0(X1))
| ( k3_finseq_1(X0) != np__0 ) ),
inference(cnf_transformation,[],[f13831]) ).
tcf(c_3590,plain,
! [X0: $i] : v4_finsub_1(k5_finsub_1(X0)),
inference(cnf_transformation,[],[f13832]) ).
tcf(c_3591,plain,
! [X0: $i,X1: $i] :
( ( k5_finsub_1(X0) = X1 )
| ~ v4_finsub_1(X1)
| ~ v1_finset_1(sK557(X0,X1))
| ~ r2_hidden(sK557(X0,X1),X1)
| ~ r1_tarski(sK557(X0,X1),X0) ),
inference(cnf_transformation,[],[f13838]) ).
tcf(c_3592,plain,
! [X0: $i,X1: $i] :
( r2_hidden(sK557(X1,X0),X0)
| r1_tarski(sK557(X1,X0),X1)
| ( k5_finsub_1(X1) = X0 )
| ~ v4_finsub_1(X0) ),
inference(cnf_transformation,[],[f13837]) ).
tcf(c_3593,plain,
! [X0: $i,X1: $i] :
( v1_finset_1(sK557(X1,X0))
| r2_hidden(sK557(X1,X0),X0)
| ( k5_finsub_1(X1) = X0 )
| ~ v4_finsub_1(X0) ),
inference(cnf_transformation,[],[f13836]) ).
tcf(c_3594,plain,
! [X0: $i,X1: $i] :
( r2_hidden(X0,k5_finsub_1(X1))
| ~ v1_finset_1(X0)
| ~ v4_finsub_1(k5_finsub_1(X1))
| ~ r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f15332]) ).
tcf(c_3595,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,X1)
| ~ v4_finsub_1(k5_finsub_1(X1))
| ~ r2_hidden(X0,k5_finsub_1(X1)) ),
inference(cnf_transformation,[],[f15333]) ).
tcf(c_3596,plain,
! [X0: $i,X1: $i] :
( v1_finset_1(X0)
| ~ v4_finsub_1(k5_finsub_1(X1))
| ~ r2_hidden(X0,k5_finsub_1(X1)) ),
inference(cnf_transformation,[],[f15334]) ).
tcf(c_3597,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(X1)
| v1_xboole_0(X0)
| ~ v4_finsub_1(X1)
| ~ v4_finsub_1(X0)
| ~ v1_xboole_0(k4_xboole_0(X0,k4_xboole_0(X0,X1))) ),
inference(cnf_transformation,[],[f15028]) ).
tcf(c_3598,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(X1)
| v1_xboole_0(X0)
| v4_finsub_1(k4_xboole_0(X0,k4_xboole_0(X0,X1)))
| ~ v4_finsub_1(X1)
| ~ v4_finsub_1(X0) ),
inference(cnf_transformation,[],[f15029]) ).
tcf(c_3599,plain,
! [X0: $i] : v4_finsub_1(k1_zfmisc_1(X0)),
inference(cnf_transformation,[],[f13841]) ).
tcf(c_3600,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| r2_hidden(np__0,X0)
| ~ v4_finsub_1(X0) ),
inference(cnf_transformation,[],[f15030]) ).
tcf(c_3601,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_xboole_0(X1)
| m1_subset_1(k4_xboole_0(X0,k4_xboole_0(X0,X2)),X1)
| ~ v4_finsub_1(X1)
| ~ m1_subset_1(X2,X1)
| ~ m1_subset_1(X0,X1) ),
inference(cnf_transformation,[],[f15031]) ).
tcf(c_3602,plain,
! [X0: $i] :
( v4_finsub_1(X0)
| ~ r2_hidden(k4_xboole_0(sK558(X0),sK559(X0)),X0)
| ~ r2_hidden(k3_tarski(k2_tarski(sK558(X0),sK559(X0))),X0) ),
inference(cnf_transformation,[],[f15032]) ).
tcf(c_3603,plain,
! [X0: $i] :
( v4_finsub_1(X0)
| r2_hidden(sK558(X0),X0) ),
inference(cnf_transformation,[],[f13847]) ).
tcf(c_3604,plain,
! [X0: $i] :
( v4_finsub_1(X0)
| r2_hidden(sK559(X0),X0) ),
inference(cnf_transformation,[],[f13846]) ).
tcf(c_3605,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(k3_tarski(k2_tarski(X0,X2)),X1)
| ~ v4_finsub_1(X1)
| ~ r2_hidden(X2,X1)
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f15033]) ).
tcf(c_3606,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(k4_xboole_0(X0,X2),X1)
| ~ v4_finsub_1(X1)
| ~ r2_hidden(X2,X1)
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f13844]) ).
tcf(c_3607,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : v1_finset_1(k2_enumset1(X0,X1,X2,X3)),
inference(cnf_transformation,[],[f13849]) ).
tcf(c_3608,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : k2_enumset1(k2_tarski(k2_tarski(X0,X1),k2_enumset1(X0,X0,X0,X0)),k2_tarski(k2_tarski(X0,X2),k2_enumset1(X0,X0,X0,X0)),k2_tarski(k2_tarski(X3,X1),k2_enumset1(X3,X3,X3,X3)),k2_tarski(k2_tarski(X3,X2),k2_enumset1(X3,X3,X3,X3))) = k2_zfmisc_1(k2_tarski(X0,X3),k2_tarski(X1,X2)),
inference(cnf_transformation,[],[f15034]) ).
tcf(c_3609,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( m1_subset_1(k2_enumset1(X0,X2,X3,X4),k1_zfmisc_1(X1))
| ( X1 = np__0 )
| ~ m1_subset_1(X4,X1)
| ~ m1_subset_1(X3,X1)
| ~ m1_subset_1(X2,X1)
| ~ m1_subset_1(X0,X1) ),
inference(cnf_transformation,[],[f15035]) ).
tcf(c_3610,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : k2_enumset1(X0,X1,X2,X3) = k2_enumset1(X3,X2,X1,X0),
inference(cnf_transformation,[],[f13852]) ).
tcf(c_3611,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : k2_enumset1(X0,X1,X2,X3) = k2_enumset1(X3,X1,X2,X0),
inference(cnf_transformation,[],[f13853]) ).
tcf(c_3612,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : k2_enumset1(X0,X1,X2,X3) = k2_enumset1(X2,X3,X1,X0),
inference(cnf_transformation,[],[f13854]) ).
tcf(c_3613,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : k2_enumset1(X0,X1,X2,X3) = k2_enumset1(X2,X3,X0,X1),
inference(cnf_transformation,[],[f13855]) ).
tcf(c_3614,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : k2_enumset1(X0,X1,X2,X3) = k2_enumset1(X2,X1,X3,X0),
inference(cnf_transformation,[],[f13856]) ).
tcf(c_3615,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : k2_enumset1(X0,X1,X2,X3) = k2_enumset1(X2,X1,X0,X3),
inference(cnf_transformation,[],[f13857]) ).
tcf(c_3616,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : k2_enumset1(X0,X1,X2,X3) = k2_enumset1(X1,X3,X2,X0),
inference(cnf_transformation,[],[f13858]) ).
tcf(c_3617,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : k2_enumset1(X0,X1,X2,X3) = k2_enumset1(X1,X3,X0,X2),
inference(cnf_transformation,[],[f13859]) ).
tcf(c_3618,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : k2_enumset1(X0,X1,X2,X3) = k2_enumset1(X1,X2,X3,X0),
inference(cnf_transformation,[],[f13860]) ).
tcf(c_3619,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : k2_enumset1(X0,X1,X2,X3) = k2_enumset1(X1,X2,X0,X3),
inference(cnf_transformation,[],[f13861]) ).
tcf(c_3620,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : k2_enumset1(X0,X1,X2,X3) = k2_enumset1(X1,X0,X3,X2),
inference(cnf_transformation,[],[f13862]) ).
tcf(c_3621,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : k2_enumset1(X0,X1,X2,X3) = k2_enumset1(X1,X0,X2,X3),
inference(cnf_transformation,[],[f13863]) ).
tcf(c_3622,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : k2_enumset1(X0,X1,X2,X3) = k2_enumset1(X0,X3,X2,X1),
inference(cnf_transformation,[],[f13864]) ).
tcf(c_3623,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : k2_enumset1(X0,X1,X2,X3) = k2_enumset1(X0,X2,X3,X1),
inference(cnf_transformation,[],[f13865]) ).
tcf(c_3624,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : k2_enumset1(X0,X1,X2,X3) = k2_enumset1(X0,X2,X1,X3),
inference(cnf_transformation,[],[f13866]) ).
tcf(c_3625,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : k2_enumset1(X0,X1,X2,X3) = k2_enumset1(X0,X1,X3,X2),
inference(cnf_transformation,[],[f13867]) ).
tcf(c_3626,plain,
! [X0: $i,X1: $i] : k2_enumset1(X0,X0,X0,X1) = k2_tarski(X0,X1),
inference(cnf_transformation,[],[f13869]) ).
tcf(c_3627,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : k3_tarski(k2_tarski(k2_tarski(X0,X1),k2_tarski(X2,X3))) = k2_enumset1(X0,X1,X2,X3),
inference(cnf_transformation,[],[f15037]) ).
tcf(c_3638,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( k2_enumset1(X0,X1,X2,X3) = X4 )
| ~ sP33(X0,X1,X2,X3,X4) ),
inference(cnf_transformation,[],[f13882]) ).
tcf(c_3639,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : sP33(X0,X1,X2,X3,k2_enumset1(X0,X1,X2,X3)),
inference(cnf_transformation,[],[f15339]) ).
tcf(c_3640,plain,
! [X0: $i] :
( r1_tarski(X0,k2_numbers)
| ~ v1_membered(X0) ),
inference(cnf_transformation,[],[f13883]) ).
tcf(c_3642,plain,
v1_membered(k2_numbers),
inference(cnf_transformation,[],[f13884]) ).
tcf(c_3643,plain,
! [X0: $i] :
( v1_membered(X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(k2_numbers)) ),
inference(cnf_transformation,[],[f13886]) ).
tcf(c_3644,plain,
k5_numbers != k2_numbers,
inference(cnf_transformation,[],[f13887]) ).
tcf(c_3645,plain,
k1_numbers != k2_numbers,
inference(cnf_transformation,[],[f13888]) ).
tcf(c_3646,plain,
r1_tarski(k5_numbers,k2_numbers),
inference(cnf_transformation,[],[f13889]) ).
tcf(c_3647,plain,
r1_tarski(k1_numbers,k2_numbers),
inference(cnf_transformation,[],[f13890]) ).
tcf(c_3648,plain,
~ v1_xboole_0(k2_numbers),
inference(cnf_transformation,[],[f13891]) ).
tcf(c_3649,plain,
! [X0: $i,X1: $i] :
( v1_finset_1(X1)
| r2_wellord2(k2_zfmisc_1(X1,X0),X1)
| ( X0 = np__0 )
| ~ v1_finset_1(X0) ),
inference(cnf_transformation,[],[f15038]) ).
tcf(c_3650,plain,
! [X0: $i,X1: $i] :
( v1_finset_1(X1)
| ( X0 = np__0 )
| ( k1_card_1(k2_zfmisc_1(X1,X0)) = k1_card_1(X1) )
| ~ v1_finset_1(X0) ),
inference(cnf_transformation,[],[f15039]) ).
tcf(c_3651,plain,
! [X0: $i] :
( v1_finset_1(X0)
| r2_wellord2(k2_zfmisc_1(X0,X0),X0) ),
inference(cnf_transformation,[],[f13895]) ).
tcf(c_3652,plain,
! [X0: $i] :
( v1_finset_1(X0)
| ( k1_card_1(k2_zfmisc_1(X0,X0)) = k1_card_1(X0) ) ),
inference(cnf_transformation,[],[f13894]) ).
tcf(c_3653,plain,
! [X0: $i,X1: $i] :
( v1_finset_1(X1)
| r2_wellord2(k3_tarski(k2_tarski(X1,X0)),X1)
| ~ r2_hidden(k1_card_1(X0),k1_card_1(X1)) ),
inference(cnf_transformation,[],[f15040]) ).
tcf(c_3654,plain,
! [X0: $i,X1: $i] :
( v1_finset_1(X1)
| ( k1_card_1(k3_tarski(k2_tarski(X1,X0))) = k1_card_1(X1) )
| ~ r2_hidden(k1_card_1(X0),k1_card_1(X1)) ),
inference(cnf_transformation,[],[f15041]) ).
tcf(c_3655,plain,
! [X0: $i,X1: $i] :
( v1_finset_1(X1)
| r2_wellord2(k3_tarski(k2_tarski(X1,X0)),X1)
| ~ r1_tarski(k1_card_1(X0),k1_card_1(X1)) ),
inference(cnf_transformation,[],[f15042]) ).
tcf(c_3656,plain,
! [X0: $i,X1: $i] :
( v1_finset_1(X1)
| ( k1_card_1(k3_tarski(k2_tarski(X1,X0))) = k1_card_1(X1) )
| ~ r1_tarski(k1_card_1(X0),k1_card_1(X1)) ),
inference(cnf_transformation,[],[f15043]) ).
tcf(c_3657,plain,
! [X0: $i,X1: $i] :
( v1_finset_1(X1)
| r2_wellord2(k3_tarski(k2_tarski(X1,X0)),X1)
| ~ v1_finset_1(X0) ),
inference(cnf_transformation,[],[f15044]) ).
tcf(c_3658,plain,
! [X0: $i,X1: $i] :
( v1_finset_1(X1)
| ( k1_card_1(k3_tarski(k2_tarski(X1,X0))) = k1_card_1(X1) )
| ~ v1_finset_1(X0) ),
inference(cnf_transformation,[],[f15045]) ).
tcf(c_3659,plain,
! [X0: $i,X1: $i] :
( v1_finset_1(X0)
| r2_wellord2(k3_tarski(k2_tarski(X0,X1)),X0)
| ~ r2_wellord2(X0,X1) ),
inference(cnf_transformation,[],[f15046]) ).
tcf(c_3660,plain,
! [X0: $i,X1: $i] :
( v1_finset_1(X0)
| ( k1_card_1(k3_tarski(k2_tarski(X0,X1))) = k1_card_1(X0) )
| ~ r2_wellord2(X0,X1) ),
inference(cnf_transformation,[],[f15047]) ).
tcf(c_3661,plain,
! [X0: $i,X1: $i] :
( v1_finset_1(X1)
| r2_wellord2(k3_tarski(k2_tarski(X1,X0)),X1)
| ~ r2_wellord2(X0,X1) ),
inference(cnf_transformation,[],[f15048]) ).
tcf(c_3662,plain,
! [X0: $i,X1: $i] :
( v1_finset_1(X1)
| ( k1_card_1(k3_tarski(k2_tarski(X1,X0))) = k1_card_1(X1) )
| ~ r2_wellord2(X0,X1) ),
inference(cnf_transformation,[],[f15049]) ).
tcf(c_3663,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ v3_ordinal1(X1)
| ~ r2_wellord2(X1,X0)
| ~ m2_subset_1(X0,k1_numbers,k5_numbers) ),
inference(cnf_transformation,[],[f13906]) ).
tcf(c_3664,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_wellord2(k1_funct_2(k2_tarski(X0,X1),X2),k2_zfmisc_1(X2,X2))
| ( X0 = X1 ) ),
inference(cnf_transformation,[],[f13908]) ).
tcf(c_3665,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X1 )
| ( k1_card_1(k1_funct_2(k2_tarski(X0,X1),X2)) = k1_card_1(k2_zfmisc_1(X2,X2)) ) ),
inference(cnf_transformation,[],[f13907]) ).
tcf(c_3666,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_wellord2(k1_funct_2(X2,k2_tarski(X0,X1)),k1_zfmisc_1(X2))
| ( X0 = X1 ) ),
inference(cnf_transformation,[],[f13910]) ).
tcf(c_3667,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X2 )
| ( k1_card_1(k1_funct_2(X0,k2_tarski(X1,X2))) = k1_card_1(k1_zfmisc_1(X0)) ) ),
inference(cnf_transformation,[],[f13909]) ).
tcf(c_3668,plain,
! [X0: $i,X1: $i,X2: $i] : r2_wellord2(k1_funct_2(X0,k2_zfmisc_1(X1,X2)),k2_zfmisc_1(k1_funct_2(X0,X1),k1_funct_2(X0,X2))),
inference(cnf_transformation,[],[f13912]) ).
tcf(c_3669,plain,
! [X0: $i,X1: $i,X2: $i] : k1_card_1(k2_zfmisc_1(k1_funct_2(X0,X1),k1_funct_2(X0,X2))) = k1_card_1(k1_funct_2(X0,k2_zfmisc_1(X1,X2))),
inference(cnf_transformation,[],[f13911]) ).
tcf(c_3670,plain,
! [X0: $i,X1: $i,X2: $i] : r2_wellord2(k1_funct_2(k2_zfmisc_1(X0,X1),X2),k1_funct_2(X0,k1_funct_2(X1,X2))),
inference(cnf_transformation,[],[f13914]) ).
tcf(c_3671,plain,
! [X0: $i,X1: $i,X2: $i] : k1_card_1(k1_funct_2(k2_zfmisc_1(X0,X1),X2)) = k1_card_1(k1_funct_2(X0,k1_funct_2(X1,X2))),
inference(cnf_transformation,[],[f13913]) ).
tcf(c_3672,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_wellord2(k1_funct_2(k3_tarski(k2_tarski(X0,X1)),X2),k2_zfmisc_1(k1_funct_2(X0,X2),k1_funct_2(X1,X2)))
| ~ r1_xboole_0(X0,X1) ),
inference(cnf_transformation,[],[f15050]) ).
tcf(c_3673,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k1_card_1(k2_zfmisc_1(k1_funct_2(X0,X2),k1_funct_2(X1,X2))) = k1_card_1(k1_funct_2(k3_tarski(k2_tarski(X0,X1)),X2)) )
| ~ r1_xboole_0(X0,X1) ),
inference(cnf_transformation,[],[f15051]) ).
tcf(c_3674,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r2_wellord2(k1_funct_2(X0,X2),k1_funct_2(X1,X3))
| ~ r2_wellord2(X2,X3)
| ~ r2_wellord2(X0,X1) ),
inference(cnf_transformation,[],[f13918]) ).
tcf(c_3675,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( k1_card_1(k1_funct_2(X0,X2)) = k1_card_1(k1_funct_2(X1,X3)) )
| ~ r2_wellord2(X2,X3)
| ~ r2_wellord2(X0,X1) ),
inference(cnf_transformation,[],[f13917]) ).
tcf(c_3676,plain,
! [X0: $i,X1: $i] : r2_wellord2(X0,k1_funct_2(k2_enumset1(X1,X1,X1,X1),X0)),
inference(cnf_transformation,[],[f15052]) ).
tcf(c_3677,plain,
! [X0: $i,X1: $i] : k1_card_1(k1_funct_2(k2_enumset1(X0,X0,X0,X0),X1)) = k1_card_1(X1),
inference(cnf_transformation,[],[f15053]) ).
tcf(c_3678,plain,
! [X0: $i] :
( r2_wellord2(X0,sK561(X0))
| ~ v1_finset_1(X0) ),
inference(cnf_transformation,[],[f13922]) ).
tcf(c_3679,plain,
! [X0: $i] :
( m2_subset_1(sK561(X0),k1_numbers,k5_numbers)
| ~ v1_finset_1(X0) ),
inference(cnf_transformation,[],[f13921]) ).
tcf(c_3680,plain,
! [X0: $i,X1: $i] :
( v1_finset_1(X1)
| ~ v1_finset_1(X0)
| ~ r2_wellord2(X0,X1) ),
inference(cnf_transformation,[],[f13923]) ).
tcf(c_3681,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ r2_wellord2(X0,X1)
| ~ m2_subset_1(X1,k1_numbers,k5_numbers)
| ~ m2_subset_1(X0,k1_numbers,k5_numbers) ),
inference(cnf_transformation,[],[f13924]) ).
tcf(c_3682,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r2_wellord2(k4_xboole_0(X1,k2_enumset1(X0,X0,X0,X0)),k4_xboole_0(X3,k2_enumset1(X2,X2,X2,X2)))
| ~ r2_wellord2(X1,X3)
| ~ r2_hidden(X2,X3)
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f15054]) ).
tcf(c_3683,plain,
! [X0: $i,X1: $i] :
( r2_wellord2(X0,k9_relat_1(X1,X0))
| ~ v2_funct_1(X1)
| ~ v1_relat_1(X1)
| ~ v1_funct_1(X1)
| ~ r1_tarski(X0,k1_relat_1(X1)) ),
inference(cnf_transformation,[],[f13926]) ).
tcf(c_3684,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_wellord2(k4_xboole_0(X1,k2_enumset1(X0,X0,X0,X0)),k4_xboole_0(X1,k2_enumset1(X2,X2,X2,X2)))
| ~ r2_hidden(X2,X1)
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f15055]) ).
tcf(c_3685,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r2_wellord2(k3_tarski(k2_tarski(X0,X1)),k3_tarski(k2_tarski(X2,X3)))
| ~ r2_wellord2(X1,X3)
| ~ r2_wellord2(X0,X2)
| ~ r1_xboole_0(X2,X3)
| ~ r1_xboole_0(X0,X1) ),
inference(cnf_transformation,[],[f15056]) ).
tcf(c_3686,plain,
! [X0: $i,X1: $i] : r2_wellord2(k2_enumset1(X0,X0,X0,X0),k2_enumset1(X1,X1,X1,X1)),
inference(cnf_transformation,[],[f15340]) ).
tcf(c_3687,plain,
! [X0: $i,X1: $i] :
( ( k2_enumset1(sK562(X0),sK562(X0),sK562(X0),sK562(X0)) = X0 )
| ~ r2_wellord2(X0,k2_enumset1(X1,X1,X1,X1)) ),
inference(cnf_transformation,[],[f15058]) ).
tcf(c_3688,plain,
r2_wellord2(np__0,np__0),
inference(cnf_transformation,[],[f15341]) ).
tcf(c_3689,plain,
! [X0: $i] :
( ( X0 = np__0 )
| ~ r2_wellord2(X0,np__0) ),
inference(cnf_transformation,[],[f15060]) ).
tcf(c_3690,plain,
! [X0: $i,X1: $i] :
( r2_hidden(k1_card_1(X0),k1_card_1(X1))
| ~ r1_tarski(k1_zfmisc_1(X0),X1) ),
inference(cnf_transformation,[],[f13934]) ).
tcf(c_3691,plain,
! [X0: $i,X1: $i] :
( ~ r2_wellord2(X0,X1)
| ~ r1_tarski(k1_zfmisc_1(X0),X1) ),
inference(cnf_transformation,[],[f13933]) ).
tcf(c_3692,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_wellord2(X0,X1)
| ~ r2_wellord2(X0,X2)
| ~ r1_tarski(X1,X2)
| ~ r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f13936]) ).
tcf(c_3693,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_wellord2(X1,X2)
| ~ r2_wellord2(X0,X2)
| ~ r1_tarski(X1,X2)
| ~ r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f13935]) ).
tcf(c_3694,plain,
! [X0: $i] : ~ r2_wellord2(X0,k1_zfmisc_1(X0)),
inference(cnf_transformation,[],[f13937]) ).
tcf(c_3695,plain,
! [X0: $i,X1: $i] :
( r2_wellord2(X0,X1)
| ( k1_card_1(X0) != k1_card_1(X1) ) ),
inference(cnf_transformation,[],[f13939]) ).
tcf(c_3696,plain,
! [X0: $i,X1: $i] :
( ( k1_card_1(X0) = k1_card_1(X1) )
| ~ r2_wellord2(X0,X1) ),
inference(cnf_transformation,[],[f13938]) ).
tcf(c_3697,plain,
! [X0: $i,X1: $i] :
( ( k1_card_1(X0) = X1 )
| ~ v1_card_1(X1)
| ~ r2_wellord2(X0,X1) ),
inference(cnf_transformation,[],[f13941]) ).
tcf(c_3698,plain,
! [X0: $i] :
( r2_wellord2(X0,k1_card_1(X0))
| ~ v1_card_1(k1_card_1(X0)) ),
inference(cnf_transformation,[],[f15342]) ).
tcf(c_3699,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ v1_card_1(X1)
| ~ v1_card_1(X0)
| ~ r2_wellord2(X0,X1) ),
inference(cnf_transformation,[],[f13943]) ).
tcf(c_3700,plain,
! [X0: $i] :
( r2_wellord2(X0,X0)
| ~ v1_card_1(X0) ),
inference(cnf_transformation,[],[f15420]) ).
tcf(c_3701,plain,
! [X0: $i] : v3_ordinal1(sK563(X0)),
inference(cnf_transformation,[],[f13945]) ).
tcf(c_3702,plain,
! [X0: $i] : r2_wellord2(X0,sK563(X0)),
inference(cnf_transformation,[],[f13944]) ).
tcf(c_3703,plain,
! [X0: $i] :
( v1_card_1(X0)
| r2_wellord2(sK564(X0),X0)
| ~ v3_ordinal1(X0) ),
inference(cnf_transformation,[],[f15344]) ).
tcf(c_3704,plain,
! [X0: $i] :
( v1_card_1(X0)
| v3_ordinal1(sK564(X0))
| ~ v3_ordinal1(X0) ),
inference(cnf_transformation,[],[f15345]) ).
tcf(c_3705,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X1)
| ( k1_group_1(X1,k6_group_1(X1,X2,X0),X0) = k6_group_1(X1,k1_nat_1(X2,np__1),X0) )
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ l1_group_1(X1)
| ~ m2_subset_1(X2,k1_numbers,k5_numbers)
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f13949]) ).
tcf(c_3706,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X1)
| ( k1_group_1(X1,X0,k6_group_1(X1,X2,X0)) = k6_group_1(X1,k1_nat_1(X2,np__1),X0) )
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ l1_group_1(X1)
| ~ m2_subset_1(X2,k1_numbers,k5_numbers)
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f13948]) ).
tcf(c_3707,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v3_struct_0(X1)
| ( k1_group_1(X1,k6_group_1(X1,X2,X0),k6_group_1(X1,X3,X0)) = k6_group_1(X1,k1_nat_1(X2,X3),X0) )
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ l1_group_1(X1)
| ~ m2_subset_1(X3,k1_numbers,k5_numbers)
| ~ m2_subset_1(X2,k1_numbers,k5_numbers)
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f13950]) ).
tcf(c_3708,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X2)
| ( k2_rlvect_1(X2,k9_rlvect_1(X2,X1),k1_funct_1(X0,k3_finseq_1(X0))) = k9_rlvect_1(X2,X0) )
| ~ l1_rlvect_1(X2)
| ~ m2_finseq_1(X1,u1_struct_0(X2))
| ~ m2_finseq_1(X0,u1_struct_0(X2))
| ~ m1_subset_1(k1_funct_1(X0,k3_finseq_1(X0)),u1_struct_0(X2))
| ( k1_nat_1(k3_finseq_1(X1),np__1) != k3_finseq_1(X0) )
| ( k7_relat_1(X0,k4_finseq_1(X1)) != X1 ) ),
inference(cnf_transformation,[],[f15346]) ).
tcf(c_3709,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k9_rlvect_1(X0,X2) = X1 )
| ~ sP35(X2,X1,X0)
| ~ sP34(X0,X1,X2) ),
inference(cnf_transformation,[],[f13953]) ).
tcf(c_3710,plain,
! [X0: $i,X1: $i] :
( sP34(X1,k9_rlvect_1(X1,X0),X0)
| ~ sP35(X0,k9_rlvect_1(X1,X0),X1) ),
inference(cnf_transformation,[],[f15347]) ).
tcf(c_3722,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X1)
| sP35(X2,X0,X1)
| ~ l1_rlvect_1(X1)
| ~ m2_finseq_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f13965]) ).
tcf(c_3725,plain,
! [X0: $i] :
( sP37(k1_funct_1(X0,np__1),k1_funct_1(X0,k3_finseq_1(X0)))
| ~ v1_finseq_1(X0)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0)
| ~ r1_xreal_0(np__1,k3_finseq_1(X0))
| ~ sP36(k3_finseq_1(X0),X0)
| ~ m2_subset_1(k3_finseq_1(X0),k1_numbers,k5_numbers) ),
inference(cnf_transformation,[],[f15356]) ).
tcf(c_3726,plain,
! [X0: $i,X1: $i] :
( m2_subset_1(sK568(X0,X1),k1_numbers,k5_numbers)
| ~ sP37(X0,X1) ),
inference(cnf_transformation,[],[f13976]) ).
tcf(c_3727,plain,
! [X0: $i,X1: $i] :
( v1_relat_1(sK569(X0,X1))
| ~ sP37(X0,X1) ),
inference(cnf_transformation,[],[f13975]) ).
tcf(c_3728,plain,
! [X0: $i,X1: $i] :
( v1_funct_1(sK569(X0,X1))
| ~ sP37(X0,X1) ),
inference(cnf_transformation,[],[f13974]) ).
tcf(c_3729,plain,
! [X0: $i,X1: $i] :
( v1_finseq_1(sK569(X0,X1))
| ~ sP37(X0,X1) ),
inference(cnf_transformation,[],[f13973]) ).
tcf(c_3730,plain,
! [X0: $i,X1: $i] :
( r1_xreal_0(np__1,sK568(X0,X1))
| ~ sP37(X0,X1) ),
inference(cnf_transformation,[],[f13972]) ).
tcf(c_3731,plain,
! [X0: $i,X1: $i] :
( ( k3_finseq_1(sK569(X0,X1)) = sK568(X0,X1) )
| ~ sP37(X0,X1) ),
inference(cnf_transformation,[],[f13971]) ).
tcf(c_3732,plain,
! [X0: $i,X1: $i] :
( ( k1_funct_1(sK569(X0,X1),np__1) = X0 )
| ~ sP37(X0,X1) ),
inference(cnf_transformation,[],[f13970]) ).
tcf(c_3733,plain,
! [X0: $i,X1: $i] :
( ( k1_funct_1(sK569(X0,X1),sK568(X0,X1)) = X1 )
| ~ sP37(X0,X1) ),
inference(cnf_transformation,[],[f13969]) ).
tcf(c_3734,plain,
! [X0: $i,X1: $i] :
( sP36(sK568(X0,X1),sK569(X0,X1))
| ~ sP37(X0,X1) ),
inference(cnf_transformation,[],[f13968]) ).
tcf(c_3745,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k1_funct_1(k7_finseq_1(X2,X1),k1_nat_1(k3_finseq_1(X2),X0)) = k1_funct_1(X1,X0) )
| ~ v1_finseq_1(X2)
| ~ v1_finseq_1(X1)
| ~ v1_relat_1(X2)
| ~ v1_relat_1(X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X1)
| ~ r1_xreal_0(np__1,X0)
| ~ m2_subset_1(X0,k1_numbers,k5_numbers)
| ~ r1_xreal_0(X0,k3_finseq_1(X1)) ),
inference(cnf_transformation,[],[f13988]) ).
tcf(c_3746,plain,
! [X0: $i,X1: $i] :
( ( k1_funct_1(k7_finseq_1(X0,k9_finseq_1(X1)),k1_nat_1(k3_finseq_1(X0),np__1)) = X1 )
| ~ v1_finseq_1(X0)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0) ),
inference(cnf_transformation,[],[f13989]) ).
tcf(c_3747,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(k1_nat_1(k3_finseq_1(X2),X0),k4_finseq_1(k7_finseq_1(X2,X1)))
| ~ v1_finseq_1(X2)
| ~ v1_finseq_1(X1)
| ~ v1_relat_1(X2)
| ~ v1_relat_1(X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X1)
| ~ m2_subset_1(X0,k1_numbers,k5_numbers)
| ~ r2_hidden(X0,k4_finseq_1(X1)) ),
inference(cnf_transformation,[],[f13990]) ).
tcf(c_3748,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sK573(X0,X1,X2) = X0 )
| ~ v1_finseq_1(X2)
| ~ v1_finseq_1(X1)
| ~ v1_relat_1(X2)
| ~ v1_relat_1(X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X1)
| ~ r2_hidden(X0,k4_finseq_1(X1)) ),
inference(cnf_transformation,[],[f13993]) ).
tcf(c_3749,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(k1_nat_1(k3_finseq_1(X2),sK573(X0,X1,X2)),k4_finseq_1(k7_finseq_1(X2,X1)))
| ~ v1_finseq_1(X2)
| ~ v1_finseq_1(X1)
| ~ v1_relat_1(X2)
| ~ v1_relat_1(X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X1)
| ~ r2_hidden(X0,k4_finseq_1(X1)) ),
inference(cnf_transformation,[],[f13992]) ).
tcf(c_3750,plain,
! [X0: $i,X1: $i,X2: $i] :
( m2_subset_1(sK573(X0,X1,X2),k1_numbers,k5_numbers)
| ~ v1_finseq_1(X2)
| ~ v1_finseq_1(X1)
| ~ v1_relat_1(X2)
| ~ v1_relat_1(X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X1)
| ~ r2_hidden(X0,k4_finseq_1(X1)) ),
inference(cnf_transformation,[],[f13991]) ).
tcf(c_3751,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(X0,k4_finseq_1(X1))
| r2_hidden(sK574(X1,X2,X0),k4_finseq_1(X2))
| ~ v1_finseq_1(X2)
| ~ v1_finseq_1(X1)
| ~ v1_relat_1(X2)
| ~ v1_relat_1(X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X1)
| ~ m2_subset_1(X0,k1_numbers,k5_numbers)
| ~ r2_hidden(X0,k4_finseq_1(k7_finseq_1(X1,X2))) ),
inference(cnf_transformation,[],[f13996]) ).
tcf(c_3752,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(X0,k4_finseq_1(X1))
| ( k1_nat_1(k3_finseq_1(X1),sK574(X1,X2,X0)) = X0 )
| ~ v1_finseq_1(X2)
| ~ v1_finseq_1(X1)
| ~ v1_relat_1(X2)
| ~ v1_relat_1(X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X1)
| ~ m2_subset_1(X0,k1_numbers,k5_numbers)
| ~ r2_hidden(X0,k4_finseq_1(k7_finseq_1(X1,X2))) ),
inference(cnf_transformation,[],[f13995]) ).
tcf(c_3753,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(X0,k4_finseq_1(X1))
| m2_subset_1(sK574(X1,X2,X0),k1_numbers,k5_numbers)
| ~ v1_finseq_1(X2)
| ~ v1_finseq_1(X1)
| ~ v1_relat_1(X2)
| ~ v1_relat_1(X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X1)
| ~ m2_subset_1(X0,k1_numbers,k5_numbers)
| ~ r2_hidden(X0,k4_finseq_1(k7_finseq_1(X1,X2))) ),
inference(cnf_transformation,[],[f13994]) ).
tcf(c_3754,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k1_funct_1(X2,k6_xcmplx_0(X0,k3_finseq_1(X1))) = k1_funct_1(k7_finseq_1(X1,X2),X0) )
| ~ v1_finseq_1(X2)
| ~ v1_finseq_1(X1)
| ~ v4_ordinal2(X0)
| ~ v1_relat_1(X2)
| ~ v1_relat_1(X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X1)
| ~ r1_xreal_0(k1_nat_1(k3_finseq_1(X1),np__1),X0)
| ~ r1_xreal_0(X0,k1_nat_1(k3_finseq_1(X1),k3_finseq_1(X2))) ),
inference(cnf_transformation,[],[f13997]) ).
tcf(c_3755,plain,
! [X0: $i,X1: $i] :
( ( k1_nat_1(k3_finseq_1(X0),k3_finseq_1(X1)) = k3_finseq_1(k7_finseq_1(X0,X1)) )
| ~ v1_finseq_1(X1)
| ~ v1_finseq_1(X0)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X0) ),
inference(cnf_transformation,[],[f13998]) ).
tcf(c_3756,plain,
! [X0: $i] :
( ( k3_tarski(k2_tarski(X0,k2_enumset1(X0,X0,X0,X0))) = k1_nat_1(X0,np__1) )
| ~ m2_subset_1(X0,k1_numbers,k5_numbers) ),
inference(cnf_transformation,[],[f15061]) ).
tcf(c_3757,plain,
! [X0: $i,X1: $i] :
( v1_relat_1(k7_finseq_1(X0,X1))
| ~ v1_finseq_1(X1)
| ~ v1_finseq_1(X0)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X0) ),
inference(cnf_transformation,[],[f14002]) ).
tcf(c_3758,plain,
! [X0: $i,X1: $i] :
( v1_funct_1(k7_finseq_1(X0,X1))
| ~ v1_finseq_1(X1)
| ~ v1_finseq_1(X0)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X0) ),
inference(cnf_transformation,[],[f14001]) ).
tcf(c_3759,plain,
! [X0: $i,X1: $i] :
( v1_finseq_1(k7_finseq_1(X0,X1))
| ~ v1_finseq_1(X1)
| ~ v1_finseq_1(X0)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X0) ),
inference(cnf_transformation,[],[f14000]) ).
tcf(c_3760,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k1_funct_1(k7_finseq_1(X1,X2),X0) = k1_funct_1(X1,X0) )
| ~ v1_finseq_1(X2)
| ~ v1_finseq_1(X1)
| ~ v1_relat_1(X2)
| ~ v1_relat_1(X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X1)
| ~ r1_xreal_0(np__1,X0)
| ~ m2_subset_1(X0,k1_numbers,k5_numbers)
| ~ r1_xreal_0(X0,k3_finseq_1(X1)) ),
inference(cnf_transformation,[],[f14003]) ).
tcf(c_3761,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( k7_finseq_1(X0,sK575(X0,X2)) = X2 )
| ~ v1_finseq_1(X3)
| ~ v1_finseq_1(X2)
| ~ v1_finseq_1(X1)
| ~ v1_finseq_1(X0)
| ~ v1_relat_1(X3)
| ~ v1_relat_1(X2)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X3)
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X0)
| ~ r1_xreal_0(k3_finseq_1(X0),k3_finseq_1(X2))
| ( k7_finseq_1(X0,X1) != k7_finseq_1(X2,X3) ) ),
inference(cnf_transformation,[],[f14007]) ).
tcf(c_3762,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v1_relat_1(sK575(X0,X2))
| ~ v1_finseq_1(X3)
| ~ v1_finseq_1(X2)
| ~ v1_finseq_1(X1)
| ~ v1_finseq_1(X0)
| ~ v1_relat_1(X3)
| ~ v1_relat_1(X2)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X3)
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X0)
| ~ r1_xreal_0(k3_finseq_1(X0),k3_finseq_1(X2))
| ( k7_finseq_1(X0,X1) != k7_finseq_1(X2,X3) ) ),
inference(cnf_transformation,[],[f14006]) ).
tcf(c_3763,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v1_funct_1(sK575(X0,X2))
| ~ v1_finseq_1(X3)
| ~ v1_finseq_1(X2)
| ~ v1_finseq_1(X1)
| ~ v1_finseq_1(X0)
| ~ v1_relat_1(X3)
| ~ v1_relat_1(X2)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X3)
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X0)
| ~ r1_xreal_0(k3_finseq_1(X0),k3_finseq_1(X2))
| ( k7_finseq_1(X0,X1) != k7_finseq_1(X2,X3) ) ),
inference(cnf_transformation,[],[f14005]) ).
tcf(c_3764,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v1_finseq_1(sK575(X0,X2))
| ~ v1_finseq_1(X3)
| ~ v1_finseq_1(X2)
| ~ v1_finseq_1(X1)
| ~ v1_finseq_1(X0)
| ~ v1_relat_1(X3)
| ~ v1_relat_1(X2)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X3)
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X0)
| ~ r1_xreal_0(k3_finseq_1(X0),k3_finseq_1(X2))
| ( k7_finseq_1(X0,X1) != k7_finseq_1(X2,X3) ) ),
inference(cnf_transformation,[],[f14004]) ).
tcf(c_3765,plain,
! [X0: $i,X1: $i,X2: $i] :
( m2_finseq_1(X0,X2)
| ~ v1_finseq_1(X1)
| ~ v1_finseq_1(X0)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X0)
| ~ m2_finseq_1(k7_finseq_1(X0,X1),X2) ),
inference(cnf_transformation,[],[f14009]) ).
tcf(c_3766,plain,
! [X0: $i,X1: $i,X2: $i] :
( m2_finseq_1(X1,X2)
| ~ v1_finseq_1(X1)
| ~ v1_finseq_1(X0)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X0)
| ~ m2_finseq_1(k7_finseq_1(X0,X1),X2) ),
inference(cnf_transformation,[],[f14008]) ).
tcf(c_3767,plain,
! [X0: $i,X1: $i] :
( ( X0 = np__0 )
| ~ v1_finseq_1(X1)
| ~ v1_finseq_1(X0)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X0)
| ( k7_finseq_1(X0,X1) != np__0 ) ),
inference(cnf_transformation,[],[f15062]) ).
tcf(c_3768,plain,
! [X0: $i,X1: $i] :
( ( X1 = np__0 )
| ~ v1_finseq_1(X1)
| ~ v1_finseq_1(X0)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X0)
| ( k7_finseq_1(X0,X1) != np__0 ) ),
inference(cnf_transformation,[],[f15063]) ).
tcf(c_3769,plain,
! [X0: $i] :
( ( k7_finseq_1(X0,np__0) = X0 )
| ~ v1_finseq_1(X0)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0) ),
inference(cnf_transformation,[],[f15064]) ).
tcf(c_3770,plain,
! [X0: $i] :
( ( k7_finseq_1(np__0,X0) = X0 )
| ~ v1_finseq_1(X0)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0) ),
inference(cnf_transformation,[],[f15065]) ).
tcf(c_3771,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X2 )
| ~ v1_finseq_1(X2)
| ~ v1_finseq_1(X1)
| ~ v1_finseq_1(X0)
| ~ v1_relat_1(X2)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X0)
| ( k7_finseq_1(X0,X1) != k7_finseq_1(X2,X1) ) ),
inference(cnf_transformation,[],[f14015]) ).
tcf(c_3772,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X2 )
| ~ v1_finseq_1(X2)
| ~ v1_finseq_1(X1)
| ~ v1_finseq_1(X0)
| ~ v1_relat_1(X2)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X0)
| ( k7_finseq_1(X0,X1) != k7_finseq_1(X0,X2) ) ),
inference(cnf_transformation,[],[f14014]) ).
tcf(c_3773,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k7_finseq_1(k7_finseq_1(X0,X1),X2) = k7_finseq_1(X0,k7_finseq_1(X1,X2)) )
| ~ v1_finseq_1(X2)
| ~ v1_finseq_1(X1)
| ~ v1_finseq_1(X0)
| ~ v1_relat_1(X2)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X0) ),
inference(cnf_transformation,[],[f14016]) ).
tcf(c_3774,plain,
! [X0: $i,X1: $i] :
( ( k3_tarski(k2_tarski(k2_relat_1(X0),k2_relat_1(X1))) = k2_relat_1(k7_finseq_1(X0,X1)) )
| ~ v1_finseq_1(X1)
| ~ v1_finseq_1(X0)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X0) ),
inference(cnf_transformation,[],[f15066]) ).
tcf(c_3775,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k2_relat_1(X0),k2_relat_1(k7_finseq_1(X1,X0)))
| ~ v1_finseq_1(X1)
| ~ v1_finseq_1(X0)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X0) ),
inference(cnf_transformation,[],[f14018]) ).
tcf(c_3776,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k2_relat_1(X0),k2_relat_1(k7_finseq_1(X0,X1)))
| ~ v1_finseq_1(X1)
| ~ v1_finseq_1(X0)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X0) ),
inference(cnf_transformation,[],[f14019]) ).
tcf(c_3777,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_xreal_0(X0,k3_finseq_1(X1))
| ( k1_funct_1(X2,k6_xcmplx_0(X0,k3_finseq_1(X1))) = k1_funct_1(k7_finseq_1(X1,X2),X0) )
| ~ v1_finseq_1(X2)
| ~ v1_finseq_1(X1)
| ~ v4_ordinal2(X0)
| ~ v1_relat_1(X2)
| ~ v1_relat_1(X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X1)
| ~ r1_xreal_0(X0,k3_finseq_1(k7_finseq_1(X1,X2))) ),
inference(cnf_transformation,[],[f14020]) ).
tcf(c_3778,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(X0)
| ~ v1_finseq_1(X1)
| ~ v1_finseq_1(X0)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X0)
| ~ v1_xboole_0(k7_finseq_1(X0,X1)) ),
inference(cnf_transformation,[],[f14025]) ).
tcf(c_3781,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(X1)
| v1_finset_1(k7_finseq_1(X1,X0))
| ~ v1_finseq_1(X1)
| ~ v1_finseq_1(X0)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X0) ),
inference(cnf_transformation,[],[f14022]) ).
tcf(c_3783,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(X1)
| ~ v1_finseq_1(X1)
| ~ v1_finseq_1(X0)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X0)
| ~ v1_xboole_0(k7_finseq_1(X0,X1)) ),
inference(cnf_transformation,[],[f14030]) ).
tcf(c_3784,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(X1)
| v1_relat_1(k7_finseq_1(X0,X1))
| ~ v1_finseq_1(X1)
| ~ v1_finseq_1(X0)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X0) ),
inference(cnf_transformation,[],[f14029]) ).
tcf(c_3785,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(X1)
| v1_funct_1(k7_finseq_1(X0,X1))
| ~ v1_finseq_1(X1)
| ~ v1_finseq_1(X0)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X0) ),
inference(cnf_transformation,[],[f14028]) ).
tcf(c_3786,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(X1)
| v1_finset_1(k7_finseq_1(X0,X1))
| ~ v1_finseq_1(X1)
| ~ v1_finseq_1(X0)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X0) ),
inference(cnf_transformation,[],[f14027]) ).
tcf(c_3787,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(X1)
| v1_finseq_1(k7_finseq_1(X0,X1))
| ~ v1_finseq_1(X1)
| ~ v1_finseq_1(X0)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X0) ),
inference(cnf_transformation,[],[f14026]) ).
tcf(c_3788,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X1)
| ( k5_rlvect_1(X1,k9_rlvect_1(X1,X2)) = k9_rlvect_1(X1,X0) )
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| ~ l1_rlvect_1(X1)
| ~ m2_finseq_1(X2,u1_struct_0(X1))
| ~ m2_finseq_1(X0,u1_struct_0(X1))
| ( k3_finseq_1(X0) != k3_finseq_1(X2) )
| ( k1_funct_1(X0,sK576(X1,X0,X2)) != k5_rlvect_1(X1,sK577(X1,X0,X2)) ) ),
inference(cnf_transformation,[],[f14035]) ).
tcf(c_3789,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X2)
| r2_hidden(sK576(X2,X0,X1),k4_finseq_1(X0))
| ( k5_rlvect_1(X2,k9_rlvect_1(X2,X1)) = k9_rlvect_1(X2,X0) )
| ~ v6_rlvect_1(X2)
| ~ v5_rlvect_1(X2)
| ~ v4_rlvect_1(X2)
| ~ v3_rlvect_1(X2)
| ~ l1_rlvect_1(X2)
| ~ m2_finseq_1(X1,u1_struct_0(X2))
| ~ m2_finseq_1(X0,u1_struct_0(X2))
| ( k3_finseq_1(X0) != k3_finseq_1(X1) ) ),
inference(cnf_transformation,[],[f14034]) ).
tcf(c_3790,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X2)
| ( k5_rlvect_1(X2,k9_rlvect_1(X2,X1)) = k9_rlvect_1(X2,X0) )
| ( k1_funct_1(X1,sK576(X2,X0,X1)) = sK577(X2,X0,X1) )
| ~ v6_rlvect_1(X2)
| ~ v5_rlvect_1(X2)
| ~ v4_rlvect_1(X2)
| ~ v3_rlvect_1(X2)
| ~ l1_rlvect_1(X2)
| ~ m2_finseq_1(X1,u1_struct_0(X2))
| ~ m2_finseq_1(X0,u1_struct_0(X2))
| ( k3_finseq_1(X0) != k3_finseq_1(X1) ) ),
inference(cnf_transformation,[],[f14033]) ).
tcf(c_3791,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X2)
| m1_subset_1(sK577(X2,X0,X1),u1_struct_0(X2))
| ( k5_rlvect_1(X2,k9_rlvect_1(X2,X1)) = k9_rlvect_1(X2,X0) )
| ~ v6_rlvect_1(X2)
| ~ v5_rlvect_1(X2)
| ~ v4_rlvect_1(X2)
| ~ v3_rlvect_1(X2)
| ~ l1_rlvect_1(X2)
| ~ m2_finseq_1(X1,u1_struct_0(X2))
| ~ m2_finseq_1(X0,u1_struct_0(X2))
| ( k3_finseq_1(X0) != k3_finseq_1(X1) ) ),
inference(cnf_transformation,[],[f14032]) ).
tcf(c_3792,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X2)
| m2_subset_1(sK576(X2,X0,X1),k1_numbers,k5_numbers)
| ( k5_rlvect_1(X2,k9_rlvect_1(X2,X1)) = k9_rlvect_1(X2,X0) )
| ~ v6_rlvect_1(X2)
| ~ v5_rlvect_1(X2)
| ~ v4_rlvect_1(X2)
| ~ v3_rlvect_1(X2)
| ~ l1_rlvect_1(X2)
| ~ m2_finseq_1(X1,u1_struct_0(X2))
| ~ m2_finseq_1(X0,u1_struct_0(X2))
| ( k3_finseq_1(X0) != k3_finseq_1(X1) ) ),
inference(cnf_transformation,[],[f14031]) ).
tcf(c_3793,plain,
! [X0: $i] :
( ( k1_relat_1(X0) = k4_finseq_1(X0) )
| ~ v1_finseq_1(X0)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0) ),
inference(cnf_transformation,[],[f14036]) ).
tcf(c_3794,plain,
! [X0: $i] :
( m1_subset_1(k4_finseq_1(X0),k1_zfmisc_1(k5_numbers))
| ~ v1_finseq_1(X0)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0) ),
inference(cnf_transformation,[],[f14037]) ).
tcf(c_3795,plain,
! [X0: $i,X1: $i] :
( ( k9_finseq_1(X0) = X1 )
| ~ v1_finseq_1(X1)
| ~ v1_relat_1(X1)
| ~ v1_funct_1(X1)
| ( k4_finseq_1(X1) != k2_finseq_1(np__1) )
| ( k2_enumset1(X0,X0,X0,X0) != k2_relat_1(X1) ) ),
inference(cnf_transformation,[],[f15067]) ).
tcf(c_3796,plain,
! [X0: $i] :
( ( k4_finseq_1(k9_finseq_1(X0)) = k2_finseq_1(np__1) )
| ~ v1_finseq_1(k9_finseq_1(X0))
| ~ v1_relat_1(k9_finseq_1(X0))
| ~ v1_funct_1(k9_finseq_1(X0)) ),
inference(cnf_transformation,[],[f15359]) ).
tcf(c_3797,plain,
! [X0: $i] :
( ( k2_enumset1(X0,X0,X0,X0) = k2_relat_1(k9_finseq_1(X0)) )
| ~ v1_finseq_1(k9_finseq_1(X0))
| ~ v1_relat_1(k9_finseq_1(X0))
| ~ v1_funct_1(k9_finseq_1(X0)) ),
inference(cnf_transformation,[],[f15360]) ).
tcf(c_3798,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k4_finseq_1(X0),k4_finseq_1(k7_finseq_1(X0,X1)))
| ~ v1_finseq_1(X1)
| ~ v1_finseq_1(X0)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X0) ),
inference(cnf_transformation,[],[f14041]) ).
tcf(c_3799,plain,
! [X0: $i,X1: $i] :
( ( k7_relat_1(k7_finseq_1(X0,X1),k4_finseq_1(X0)) = X0 )
| ~ v1_finseq_1(X1)
| ~ v1_finseq_1(X0)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X0) ),
inference(cnf_transformation,[],[f14042]) ).
tcf(c_3800,plain,
! [X0: $i] :
( ( X0 = np__0 )
| ~ v1_finseq_1(X0)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0)
| ( k4_finseq_1(X0) != np__0 ) ),
inference(cnf_transformation,[],[f15069]) ).
tcf(c_3801,plain,
( ( k4_finseq_1(np__0) = np__0 )
| ~ v1_finseq_1(np__0)
| ~ v1_relat_1(np__0)
| ~ v1_funct_1(np__0) ),
inference(cnf_transformation,[],[f15361]) ).
tcf(c_3802,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ v1_finseq_1(X1)
| ~ v1_finseq_1(X0)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X0)
| ( k4_finseq_1(X0) != k4_finseq_1(X1) )
| ( k1_funct_1(X0,sK578(X0,X1)) != k1_funct_1(X1,sK578(X0,X1)) ) ),
inference(cnf_transformation,[],[f14047]) ).
tcf(c_3803,plain,
! [X0: $i,X1: $i] :
( r2_hidden(sK578(X1,X0),k4_finseq_1(X1))
| ( X0 = X1 )
| ~ v1_finseq_1(X1)
| ~ v1_finseq_1(X0)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X0)
| ( k4_finseq_1(X0) != k4_finseq_1(X1) ) ),
inference(cnf_transformation,[],[f14046]) ).
tcf(c_3804,plain,
! [X0: $i,X1: $i] :
( m2_subset_1(sK578(X1,X0),k1_numbers,k5_numbers)
| ( X0 = X1 )
| ~ v1_finseq_1(X1)
| ~ v1_finseq_1(X0)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X0)
| ( k4_finseq_1(X0) != k4_finseq_1(X1) ) ),
inference(cnf_transformation,[],[f14045]) ).
tcf(c_3805,plain,
! [X0: $i,X1: $i] :
( r2_hidden(sK579(X0,X1),k4_finseq_1(X1))
| ~ v1_finseq_1(X1)
| ~ v1_relat_1(X1)
| ~ v1_funct_1(X1)
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f14050]) ).
tcf(c_3806,plain,
! [X0: $i,X1: $i] :
( ( k2_tarski(k2_tarski(sK579(X0,X1),k1_funct_1(X1,sK579(X0,X1))),k2_enumset1(sK579(X0,X1),sK579(X0,X1),sK579(X0,X1),sK579(X0,X1))) = X0 )
| ~ v1_finseq_1(X1)
| ~ v1_relat_1(X1)
| ~ v1_funct_1(X1)
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f15071]) ).
tcf(c_3807,plain,
! [X0: $i,X1: $i] :
( m2_subset_1(sK579(X0,X1),k1_numbers,k5_numbers)
| ~ v1_finseq_1(X1)
| ~ v1_relat_1(X1)
| ~ v1_funct_1(X1)
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f14048]) ).
tcf(c_3840,plain,
m2_relset_1(np__0,np__0,np__0),
inference(instantiation,[status(thm)],[c_686]) ).
tcf(c_4091,plain,
( sP24(np__0)
| ~ v1_relat_1(np__0)
| ~ v1_funct_1(np__0) ),
inference(instantiation,[status(thm)],[c_2235]) ).
tcf(c_4094,plain,
( sP23(np__0)
| ~ sP24(np__0)
| ~ v2_funct_1(np__0) ),
inference(instantiation,[status(thm)],[c_2224]) ).
tcf(c_4188,plain,
( v1_xreal_0(np__0)
| ~ v2_membered(np__0)
| ~ m1_subset_1(np__0,np__0) ),
inference(instantiation,[status(thm)],[c_1551]) ).
tcf(c_4221,plain,
( m1_subset_1(np__0,np__0)
| ~ v1_xboole_0(np__0) ),
inference(instantiation,[status(thm)],[c_589]) ).
tcf(c_4274,plain,
( v2_funct_1(np__0)
| ~ v1_funct_1(np__0)
| ~ m2_relset_1(np__0,np__0,np__0) ),
inference(instantiation,[status(thm)],[c_2853]) ).
tcf(c_6119,plain,
! [X0: $i] :
( v5_membered(k1_pre_topc(X0))
| ~ l1_pre_topc(X0) ),
inference(global_subsumption_just,[status(thm)],[c_322,c_152,c_333]) ).
tcf(c_6122,plain,
! [X0: $i] :
( v4_membered(k1_pre_topc(X0))
| ~ l1_pre_topc(X0) ),
inference(global_subsumption_just,[status(thm)],[c_321,c_152,c_332]) ).
tcf(c_6125,plain,
! [X0: $i] :
( v3_membered(k1_pre_topc(X0))
| ~ l1_pre_topc(X0) ),
inference(global_subsumption_just,[status(thm)],[c_320,c_152,c_331]) ).
tcf(c_6128,plain,
! [X0: $i] :
( v2_membered(k1_pre_topc(X0))
| ~ l1_pre_topc(X0) ),
inference(global_subsumption_just,[status(thm)],[c_319,c_152,c_330]) ).
tcf(c_6131,plain,
! [X0: $i] :
( v1_membered(k1_pre_topc(X0))
| ~ l1_pre_topc(X0) ),
inference(global_subsumption_just,[status(thm)],[c_318,c_152,c_329]) ).
tcf(c_6134,plain,
! [X0: $i] :
( v1_xboole_0(k1_pre_topc(X0))
| ~ l1_pre_topc(X0) ),
inference(global_subsumption_just,[status(thm)],[c_316,c_152,c_328]) ).
tcf(c_6155,plain,
! [X0: $i] :
( sP31(X0)
| ~ sP32(X0) ),
inference(global_subsumption_just,[status(thm)],[c_3418,c_3408,c_3403,c_3418]) ).
tcf(c_6166,plain,
! [X0: $i] :
( v2_funct_1(X0)
| ~ v1_xboole_0(X0) ),
inference(global_subsumption_just,[status(thm)],[c_2878,c_582,c_577,c_2878]) ).
tcf(c_6237,plain,
k4_finseq_1(np__0) = np__0,
inference(global_subsumption_just,[status(thm)],[c_3801,c_3341,c_3340,c_3339,c_3801]) ).
tcf(c_6247,plain,
k3_finseq_1(np__0) = np__0,
inference(global_subsumption_just,[status(thm)],[c_3337,c_3341,c_3340,c_3339,c_3337]) ).
tcf(c_6257,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ m1_subset_1(X0,k5_finsub_1(X1))
| ~ r2_hidden(X2,X0)
| m1_subset_1(X2,X1) ),
inference(global_subsumption_just,[status(thm)],[c_1641,c_1649,c_827]) ).
tcf(c_6258,plain,
! [X0: $i,X1: $i,X2: $i] :
( m1_subset_1(X2,X1)
| ~ r2_hidden(X2,X0)
| ~ m1_subset_1(X0,k5_finsub_1(X1)) ),
inference(renaming,[status(thm)],[c_6257]) ).
tcf(c_6272,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k3_relat_1(X0),k3_relat_1(X1))
| ~ v1_relat_1(X1)
| ~ r1_tarski(X0,X1) ),
inference(global_subsumption_just,[status(thm)],[c_2306,c_539,c_2306]) ).
tcf(c_6276,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k2_relat_1(X0),k2_relat_1(X1))
| ~ v1_relat_1(X1)
| ~ r1_tarski(X0,X1) ),
inference(global_subsumption_just,[status(thm)],[c_734,c_539,c_734]) ).
tcf(c_6278,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k1_relat_1(X0),k1_relat_1(X1))
| ~ v1_relat_1(X1)
| ~ r1_tarski(X0,X1) ),
inference(global_subsumption_just,[status(thm)],[c_733,c_539,c_733]) ).
tcf(c_6290,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( m2_relset_1(X0,X3,X2)
| ~ m2_relset_1(X0,X1,X2)
| ~ r1_tarski(X1,X3) ),
inference(global_subsumption_just,[status(thm)],[c_533,c_536]) ).
tcf(c_6291,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( m2_relset_1(X0,X3,X2)
| ~ r1_tarski(X1,X3)
| ~ m2_relset_1(X0,X1,X2) ),
inference(renaming,[status(thm)],[c_6290]) ).
tcf(c_6294,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k8_relat_1(X2,X0),k8_relat_1(X2,X1))
| ~ v1_relat_1(X1)
| ~ r1_tarski(X0,X1) ),
inference(global_subsumption_just,[status(thm)],[c_3300,c_539,c_3300]) ).
tcf(c_6296,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k9_relat_1(X0,X2),k9_relat_1(X1,X2))
| ~ v1_relat_1(X1)
| ~ r1_tarski(X0,X1) ),
inference(global_subsumption_just,[status(thm)],[c_3154,c_539,c_3154]) ).
tcf(c_6298,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k10_relat_1(X0,X2),k10_relat_1(X1,X2))
| ~ v1_relat_1(X1)
| ~ r1_tarski(X0,X1) ),
inference(global_subsumption_just,[status(thm)],[c_3114,c_539,c_3114]) ).
tcf(c_6302,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k7_relat_1(X0,X2),k7_relat_1(X1,X2))
| ~ v1_relat_1(X1)
| ~ r1_tarski(X0,X1) ),
inference(global_subsumption_just,[status(thm)],[c_2050,c_539,c_2050]) ).
tcf(c_6308,plain,
! [X0: $i] :
( v3_struct_0(X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| ~ v1_filter_0(u1_struct_0(X0),X0) ),
inference(global_subsumption_just,[status(thm)],[c_2909,c_865,c_2909]) ).
tcf(c_6335,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| l3_lattices(k5_filter_1(X1,X0))
| ~ l3_lattices(X1)
| ~ m1_filter_0(X0,X1)
| ~ v10_lattices(X1) ),
inference(global_subsumption_just,[status(thm)],[c_288,c_284]) ).
tcf(c_6336,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| l3_lattices(k5_filter_1(X1,X0))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_filter_0(X0,X1) ),
inference(renaming,[status(thm)],[c_6335]) ).
tcf(c_6337,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| v10_lattices(k5_filter_1(X1,X0))
| ~ l3_lattices(X1)
| ~ m1_filter_0(X0,X1)
| ~ v10_lattices(X1) ),
inference(global_subsumption_just,[status(thm)],[c_286,c_283]) ).
tcf(c_6338,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| v10_lattices(k5_filter_1(X1,X0))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_filter_0(X0,X1) ),
inference(renaming,[status(thm)],[c_6337]) ).
tcf(c_6343,plain,
! [X0: $i] :
( ( k6_subset_1(u1_struct_0(X0),k2_pre_topc(X0),k2_pre_topc(X0)) = np__0 )
| ~ l1_struct_0(X0) ),
inference(global_subsumption_just,[status(thm)],[c_2760,c_341,c_2760]) ).
tcf(c_6348,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k5_relat_1(X2,X0),k5_relat_1(X2,X1))
| ~ v1_relat_1(X2)
| ~ v1_relat_1(X1)
| ~ r1_tarski(X0,X1) ),
inference(global_subsumption_just,[status(thm)],[c_2276,c_539,c_2276]) ).
tcf(c_6350,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k5_relat_1(X0,X2),k5_relat_1(X1,X2))
| ~ v1_relat_1(X2)
| ~ v1_relat_1(X1)
| ~ r1_tarski(X0,X1) ),
inference(global_subsumption_just,[status(thm)],[c_2275,c_539,c_2275]) ).
tcf(c_6364,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(X2,X1)
| ~ r1_tarski(X0,X1)
| ~ r2_hidden(X2,X0) ),
inference(global_subsumption_just,[status(thm)],[c_1334,c_573]) ).
tcf(c_6365,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(X2,X1)
| ~ r2_hidden(X2,X0)
| ~ r1_tarski(X0,X1) ),
inference(renaming,[status(thm)],[c_6364]) ).
tcf(c_6366,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_xboole_0(X2)
| v1_xboole_0(X1)
| ~ v1_funct_2(X0,X1,X2)
| ~ m1_relset_1(X0,X1,X2)
| ~ v1_xboole_0(X0) ),
inference(global_subsumption_just,[status(thm)],[c_1154,c_577,c_1154]) ).
tcf(c_6367,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_xboole_0(X2)
| v1_xboole_0(X1)
| ~ v1_xboole_0(X0)
| ~ m1_relset_1(X0,X1,X2)
| ~ v1_funct_2(X0,X1,X2) ),
inference(renaming,[status(thm)],[c_6366]) ).
tcf(c_6368,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( m2_relset_1(X0,X3,X4)
| ~ m2_relset_1(X0,X1,X2)
| ~ r1_tarski(X1,X3)
| ~ r1_tarski(X2,X4) ),
inference(global_subsumption_just,[status(thm)],[c_531,c_534]) ).
tcf(c_6369,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( m2_relset_1(X0,X3,X4)
| ~ r1_tarski(X2,X4)
| ~ r1_tarski(X1,X3)
| ~ m2_relset_1(X0,X1,X2) ),
inference(renaming,[status(thm)],[c_6368]) ).
tcf(c_6372,plain,
! [X0: $i] :
( v3_struct_0(X0)
| ~ l3_lattices(X0)
| ~ v1_filter_0(u1_struct_0(X0),X0)
| ~ v10_lattices(X0) ),
inference(global_subsumption_just,[status(thm)],[c_2897,c_6308]) ).
tcf(c_6373,plain,
! [X0: $i] :
( v3_struct_0(X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| ~ v1_filter_0(u1_struct_0(X0),X0) ),
inference(renaming,[status(thm)],[c_6372]) ).
tcf(c_6386,plain,
! [X0: $i] :
( ( k2_finseq_1(k3_finseq_1(X0)) = k1_relat_1(X0) )
| ~ v1_finseq_1(X0)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_2802,c_3326,c_2802]) ).
tcf(c_6393,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(X0,k1_relat_1(X2))
| ~ v1_relat_1(X2)
| ~ r2_hidden(k2_tarski(k2_tarski(X0,X1),k2_enumset1(X0,X0,X0,X0)),X2) ),
inference(global_subsumption_just,[status(thm)],[c_669,c_778]) ).
tcf(c_6395,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( m2_relset_1(X3,X1,X2)
| ~ m2_relset_1(X0,X1,X2)
| ~ r1_tarski(X3,X0) ),
inference(global_subsumption_just,[status(thm)],[c_530,c_537]) ).
tcf(c_6396,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( m2_relset_1(X3,X1,X2)
| ~ r1_tarski(X3,X0)
| ~ m2_relset_1(X0,X1,X2) ),
inference(renaming,[status(thm)],[c_6395]) ).
tcf(c_6397,plain,
! [X0: $i,X1: $i] :
( r2_hidden(k3_tarski(k2_tarski(X0,k2_enumset1(X0,X0,X0,X0))),X1)
| ~ v4_ordinal1(X1)
| ~ v3_ordinal1(X1)
| ~ r2_hidden(X0,X1) ),
inference(global_subsumption_just,[status(thm)],[c_3521,c_3512,c_3521]) ).
tcf(c_6399,plain,
! [X0: $i] :
( ~ v3_ordinal1(X0)
| ~ v4_ordinal1(k3_tarski(k2_tarski(X0,k2_enumset1(X0,X0,X0,X0)))) ),
inference(global_subsumption_just,[status(thm)],[c_3517,c_3522,c_3517]) ).
tcf(c_6402,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| m2_relset_1(k10_filter_0(X1,X0),u1_struct_0(X1),u1_struct_0(X1))
| ~ m1_filter_0(X0,X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
inference(global_subsumption_just,[status(thm)],[c_1167,c_1168]) ).
tcf(c_6403,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| m2_relset_1(k10_filter_0(X1,X0),u1_struct_0(X1),u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_filter_0(X0,X1) ),
inference(renaming,[status(thm)],[c_6402]) ).
tcf(c_6404,plain,
! [X0: $i,X1: $i] :
( ~ m1_filter_0(X0,X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| sP8(X0,X1)
| v3_struct_0(X1) ),
inference(global_subsumption_just,[status(thm)],[c_440,c_863,c_864,c_440]) ).
tcf(c_6405,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| sP8(X0,X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_filter_0(X0,X1) ),
inference(renaming,[status(thm)],[c_6404]) ).
tcf(c_6407,plain,
! [X0: $i,X1: $i] :
( ~ v1_funct_1(X0)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X0)
| ~ v1_relat_1(X1)
| ~ v1_finseq_1(X0)
| ~ v1_finseq_1(X1)
| v1_finseq_1(k7_finseq_1(X0,X1)) ),
inference(global_subsumption_just,[status(thm)],[c_3787,c_3759]) ).
tcf(c_6408,plain,
! [X0: $i,X1: $i] :
( v1_finseq_1(k7_finseq_1(X0,X1))
| ~ v1_finseq_1(X1)
| ~ v1_finseq_1(X0)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X0) ),
inference(renaming,[status(thm)],[c_6407]) ).
tcf(c_6409,plain,
! [X0: $i,X1: $i] :
( ~ v1_funct_1(X0)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X0)
| ~ v1_relat_1(X1)
| ~ v1_finseq_1(X0)
| ~ v1_finseq_1(X1)
| v1_funct_1(k7_finseq_1(X0,X1)) ),
inference(global_subsumption_just,[status(thm)],[c_3785,c_3758]) ).
tcf(c_6410,plain,
! [X0: $i,X1: $i] :
( v1_funct_1(k7_finseq_1(X0,X1))
| ~ v1_finseq_1(X1)
| ~ v1_finseq_1(X0)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X0) ),
inference(renaming,[status(thm)],[c_6409]) ).
tcf(c_6411,plain,
! [X0: $i,X1: $i] :
( ~ v1_funct_1(X0)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X0)
| ~ v1_relat_1(X1)
| ~ v1_finseq_1(X0)
| ~ v1_finseq_1(X1)
| v1_relat_1(k7_finseq_1(X0,X1)) ),
inference(global_subsumption_just,[status(thm)],[c_3784,c_3757]) ).
tcf(c_6412,plain,
! [X0: $i,X1: $i] :
( v1_relat_1(k7_finseq_1(X0,X1))
| ~ v1_finseq_1(X1)
| ~ v1_finseq_1(X0)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X0) ),
inference(renaming,[status(thm)],[c_6411]) ).
tcf(c_6417,plain,
! [X0: $i,X1: $i] :
( v1_relat_1(k5_relat_1(X0,X1))
| ~ v1_relat_1(X0)
| ~ v1_relat_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_2211,c_2263]) ).
tcf(c_6418,plain,
! [X0: $i,X1: $i] :
( v1_relat_1(k5_relat_1(X0,X1))
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0) ),
inference(renaming,[status(thm)],[c_6417]) ).
tcf(c_6422,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( m2_relset_1(X0,X1,X3)
| ~ r1_tarski(X2,X3)
| ~ m2_relset_1(X0,X1,X2) ),
inference(global_subsumption_just,[status(thm)],[c_527,c_535]) ).
tcf(c_6426,plain,
! [X0: $i,X1: $i] :
( ( k3_finseq_1(X0) = X1 )
| ( k1_relat_1(X0) != k2_finseq_1(X1) )
| ~ m2_subset_1(X1,k1_numbers,k5_numbers)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_2801,c_2803,c_2801]) ).
tcf(c_6427,plain,
! [X0: $i,X1: $i] :
( ( k3_finseq_1(X0) = X1 )
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0)
| ~ m2_subset_1(X1,k1_numbers,k5_numbers)
| ( k1_relat_1(X0) != k2_finseq_1(X1) ) ),
inference(renaming,[status(thm)],[c_6426]) ).
tcf(c_6428,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( m2_relset_1(X0,X1,X3)
| ~ r1_tarski(k2_relat_1(X0),X3)
| ~ m2_relset_1(X0,X1,X2) ),
inference(global_subsumption_just,[status(thm)],[c_700,c_712]) ).
tcf(c_6430,plain,
! [X0: $i,X1: $i] :
( v10_lattices(X1)
| v3_struct_0(X1)
| v3_struct_0(X0)
| ~ v10_lattices(k8_filter_1(X0,X1))
| ~ l3_lattices(X0)
| ~ l3_lattices(X1) ),
inference(global_subsumption_just,[status(thm)],[c_268,c_223,c_279,c_268]) ).
tcf(c_6431,plain,
! [X0: $i,X1: $i] :
( v10_lattices(X1)
| v3_struct_0(X1)
| v3_struct_0(X0)
| ~ l3_lattices(X1)
| ~ l3_lattices(X0)
| ~ v10_lattices(k8_filter_1(X0,X1)) ),
inference(renaming,[status(thm)],[c_6430]) ).
tcf(c_6433,plain,
! [X0: $i,X1: $i] :
( v10_lattices(X0)
| v3_struct_0(X1)
| v3_struct_0(X0)
| ~ v10_lattices(k8_filter_1(X0,X1))
| ~ l3_lattices(X0)
| ~ l3_lattices(X1) ),
inference(global_subsumption_just,[status(thm)],[c_267,c_223,c_279,c_267]) ).
tcf(c_6434,plain,
! [X0: $i,X1: $i] :
( v10_lattices(X0)
| v3_struct_0(X1)
| v3_struct_0(X0)
| ~ l3_lattices(X1)
| ~ l3_lattices(X0)
| ~ v10_lattices(k8_filter_1(X0,X1)) ),
inference(renaming,[status(thm)],[c_6433]) ).
tcf(c_6435,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| ( k2_rlvect_1(X1,X0,k1_rlvect_1(X1)) = X0 )
| ~ l1_rlvect_1(X1)
| ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ v5_rlvect_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_3433,c_3441]) ).
tcf(c_6436,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| ( k2_rlvect_1(X1,X0,k1_rlvect_1(X1)) = X0 )
| ~ v5_rlvect_1(X1)
| ~ l1_rlvect_1(X1)
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(renaming,[status(thm)],[c_6435]) ).
tcf(c_6437,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_tarski(k7_relat_1(k8_relat_1(X2,X0),X3),k7_relat_1(k8_relat_1(X2,X1),X3))
| ~ v1_relat_1(X1)
| ~ r1_tarski(X0,X1)
| ~ v1_funct_1(X0)
| ~ v1_funct_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_3260,c_539,c_3260]) ).
tcf(c_6438,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_tarski(k7_relat_1(k8_relat_1(X2,X0),X3),k7_relat_1(k8_relat_1(X2,X1),X3))
| ~ v1_relat_1(X1)
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X0)
| ~ r1_tarski(X0,X1) ),
inference(renaming,[status(thm)],[c_6437]) ).
tcf(c_6444,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X0)
| ( k1_group_1(X0,k2_group_1(X0),X1) = X1 )
| ~ v2_group_1(X0)
| ~ l1_group_1(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0)) ),
inference(global_subsumption_just,[status(thm)],[c_2954,c_2979,c_2954]) ).
tcf(c_6445,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| ( k1_group_1(X1,k2_group_1(X1),X0) = X0 )
| ~ v2_group_1(X1)
| ~ l1_group_1(X1)
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(renaming,[status(thm)],[c_6444]) ).
tcf(c_6447,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X0)
| ( k1_group_1(X0,X1,k2_group_1(X0)) = X1 )
| ~ v2_group_1(X0)
| ~ l1_group_1(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0)) ),
inference(global_subsumption_just,[status(thm)],[c_2953,c_2979,c_2953]) ).
tcf(c_6448,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| ( k1_group_1(X1,X0,k2_group_1(X1)) = X0 )
| ~ v2_group_1(X1)
| ~ l1_group_1(X1)
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(renaming,[status(thm)],[c_6447]) ).
tcf(c_6450,plain,
! [X0: $i,X1: $i] :
( r1_xreal_0(k3_finseq_1(X0),k3_finseq_1(X1))
| ~ v1_finseq_1(X1)
| ~ v1_finseq_1(X0)
| ~ v1_relat_1(X1)
| ~ r1_tarski(X0,X1)
| ~ v1_funct_1(X0)
| ~ v1_funct_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_2770,c_539,c_2770]) ).
tcf(c_6451,plain,
! [X0: $i,X1: $i] :
( r1_xreal_0(k3_finseq_1(X0),k3_finseq_1(X1))
| ~ v1_finseq_1(X1)
| ~ v1_finseq_1(X0)
| ~ v1_relat_1(X1)
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X0)
| ~ r1_tarski(X0,X1) ),
inference(renaming,[status(thm)],[c_6450]) ).
tcf(c_6452,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_tarski(k5_relat_1(X0,X2),k5_relat_1(X1,X3))
| ~ v1_relat_1(X3)
| ~ v1_relat_1(X2)
| ~ v1_relat_1(X1)
| ~ r1_tarski(X0,X1)
| ~ r1_tarski(X2,X3) ),
inference(global_subsumption_just,[status(thm)],[c_2274,c_539,c_2274]) ).
tcf(c_6453,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_tarski(k5_relat_1(X0,X2),k5_relat_1(X1,X3))
| ~ v1_relat_1(X3)
| ~ v1_relat_1(X2)
| ~ v1_relat_1(X1)
| ~ r1_tarski(X2,X3)
| ~ r1_tarski(X0,X1) ),
inference(renaming,[status(thm)],[c_6452]) ).
tcf(c_6454,plain,
! [X0: $i,X1: $i] :
( sP28(X0,X1,k3_funct_4(X0,X1))
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_3223,c_3196,c_3195,c_3223]) ).
tcf(c_6461,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X0)
| ( k2_lattices(X0,X1,k5_lattices(X0)) = k5_lattices(X0) )
| ~ l1_lattices(X0)
| ~ v13_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0)) ),
inference(global_subsumption_just,[status(thm)],[c_1938,c_980,c_1938]) ).
tcf(c_6462,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| ( k2_lattices(X1,X0,k5_lattices(X1)) = k5_lattices(X1) )
| ~ l1_lattices(X1)
| ~ v13_lattices(X1)
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(renaming,[status(thm)],[c_6461]) ).
tcf(c_6464,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X0)
| ( k2_lattices(X0,k5_lattices(X0),X1) = k5_lattices(X0) )
| ~ l1_lattices(X0)
| ~ v13_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0)) ),
inference(global_subsumption_just,[status(thm)],[c_1937,c_980,c_1937]) ).
tcf(c_6465,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| ( k2_lattices(X1,k5_lattices(X1),X0) = k5_lattices(X1) )
| ~ l1_lattices(X1)
| ~ v13_lattices(X1)
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(renaming,[status(thm)],[c_6464]) ).
tcf(c_6471,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r2_hidden(X1,k9_relat_1(X2,X3))
| ~ v1_relat_1(X2)
| ~ r2_hidden(X0,X3)
| ~ r2_hidden(k2_tarski(k2_tarski(X0,X1),k2_enumset1(X0,X0,X0,X0)),X2) ),
inference(global_subsumption_just,[status(thm)],[c_3166,c_3173]) ).
tcf(c_6473,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r2_hidden(X0,k10_relat_1(X2,X3))
| ~ v1_relat_1(X2)
| ~ r2_hidden(X1,X3)
| ~ r2_hidden(k2_tarski(k2_tarski(X0,X1),k2_enumset1(X0,X0,X0,X0)),X2) ),
inference(global_subsumption_just,[status(thm)],[c_3126,c_3133]) ).
tcf(c_6477,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k1_funct_1(X2,X0) = X1 )
| ~ v1_relat_1(X2)
| ~ v1_funct_1(X2)
| ~ r2_hidden(k2_tarski(k2_tarski(X0,X1),k2_enumset1(X0,X0,X0,X0)),X2) ),
inference(global_subsumption_just,[status(thm)],[c_671,c_670]) ).
tcf(c_6479,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = np__0 )
| ( k2_enumset1(X0,X0,X0,X0) != k3_tarski(k2_tarski(X1,X2)) )
| ( k2_enumset1(X0,X0,X0,X0) = X1 ) ),
inference(global_subsumption_just,[status(thm)],[c_128,c_124]) ).
tcf(c_6480,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = np__0 )
| ( k2_enumset1(X0,X0,X0,X0) = X1 )
| ( k2_enumset1(X0,X0,X0,X0) != k3_tarski(k2_tarski(X1,X2)) ) ),
inference(renaming,[status(thm)],[c_6479]) ).
tcf(c_6481,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2 = np__0 )
| ( k2_enumset1(X0,X0,X0,X0) = X2 )
| ( k2_enumset1(X0,X0,X0,X0) != k3_tarski(k2_tarski(X1,X2)) ) ),
inference(global_subsumption_just,[status(thm)],[c_127,c_131]) ).
tcf(c_6483,plain,
! [X0: $i] :
( sP37(k1_funct_1(X0,np__1),k1_funct_1(X0,k3_finseq_1(X0)))
| ~ v1_finseq_1(X0)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0)
| ~ r1_xreal_0(np__1,k3_finseq_1(X0))
| ~ sP36(k3_finseq_1(X0),X0) ),
inference(global_subsumption_just,[status(thm)],[c_3725,c_3326,c_3725]) ).
tcf(c_6492,plain,
! [X0: $i,X1: $i] :
( sP25(X0,k7_finseq_1(X0,X1),X1)
| ~ v1_finseq_1(X1)
| ~ v1_finseq_1(X0)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_2794,c_3759,c_3758,c_3757,c_2794]) ).
tcf(c_6503,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v3_struct_0(X1)
| r2_hidden(k3_lattices(X1,X2,X3),X0)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m2_lattice4(X0,X1)
| ~ r2_hidden(X3,X0)
| ~ r2_hidden(X2,X0)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
inference(global_subsumption_just,[status(thm)],[c_3236,c_3226,c_3236]) ).
tcf(c_6504,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v3_struct_0(X1)
| r2_hidden(k3_lattices(X1,X0,X2),X3)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m2_lattice4(X3,X1)
| ~ r2_hidden(X2,X3)
| ~ r2_hidden(X0,X3)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(renaming,[status(thm)],[c_6503]) ).
tcf(c_6505,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v3_struct_0(X1)
| r2_hidden(k4_lattices(X1,X2,X3),X0)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m2_lattice4(X0,X1)
| ~ r2_hidden(X3,X0)
| ~ r2_hidden(X2,X0)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
inference(global_subsumption_just,[status(thm)],[c_3235,c_3226,c_3235]) ).
tcf(c_6506,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v3_struct_0(X1)
| r2_hidden(k4_lattices(X1,X0,X2),X3)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m2_lattice4(X3,X1)
| ~ r2_hidden(X2,X3)
| ~ r2_hidden(X0,X3)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(renaming,[status(thm)],[c_6505]) ).
tcf(c_6509,plain,
! [X0: $i,X1: $i] :
( ( k3_finseq_1(k7_relat_1(X0,k2_finseq_1(X1))) = X1 )
| ~ v1_finseq_1(X0)
| ~ v4_ordinal2(X1)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0)
| ~ r1_xreal_0(X1,k3_finseq_1(X0)) ),
inference(global_subsumption_just,[status(thm)],[c_2795,c_2561,c_2560,c_2559,c_2795]) ).
tcf(c_6510,plain,
! [X0: $i,X1: $i] :
( ( k3_finseq_1(k7_relat_1(X1,k2_finseq_1(X0))) = X0 )
| ~ v1_finseq_1(X1)
| ~ v4_ordinal2(X0)
| ~ v1_relat_1(X1)
| ~ v1_funct_1(X1)
| ~ r1_xreal_0(X0,k3_finseq_1(X1)) ),
inference(renaming,[status(thm)],[c_6509]) ).
tcf(c_6514,plain,
! [X0: $i,X1: $i] :
( ( k4_finseq_1(k7_relat_1(X0,k2_finseq_1(X1))) = k2_finseq_1(X1) )
| ~ v1_finseq_1(X0)
| ~ v4_ordinal2(X1)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0)
| ~ r1_xreal_0(X1,k3_finseq_1(X0)) ),
inference(global_subsumption_just,[status(thm)],[c_2796,c_2561,c_2560,c_2559,c_2796]) ).
tcf(c_6515,plain,
! [X0: $i,X1: $i] :
( ( k4_finseq_1(k7_relat_1(X1,k2_finseq_1(X0))) = k2_finseq_1(X0) )
| ~ v1_finseq_1(X1)
| ~ v4_ordinal2(X0)
| ~ v1_relat_1(X1)
| ~ v1_funct_1(X1)
| ~ r1_xreal_0(X0,k3_finseq_1(X1)) ),
inference(renaming,[status(thm)],[c_6514]) ).
tcf(c_6519,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ r2_hidden(X2,X0)
| ~ r2_hidden(X3,X0)
| ~ m1_filter_0(X0,X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| r2_hidden(k4_lattices(X1,X2,X3),X0)
| v3_struct_0(X1) ),
inference(global_subsumption_just,[status(thm)],[c_439,c_3228,c_864,c_3235]) ).
tcf(c_6520,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v3_struct_0(X1)
| r2_hidden(k4_lattices(X1,X0,X2),X3)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_filter_0(X3,X1)
| ~ r2_hidden(X2,X3)
| ~ r2_hidden(X0,X3)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(renaming,[status(thm)],[c_6519]) ).
tcf(c_6525,plain,
! [X0: $i,X1: $i] :
( ( k2_finseq_1(k1_nat_1(k3_finseq_1(X0),k3_finseq_1(X1))) = k4_finseq_1(k7_finseq_1(X0,X1)) )
| ~ v1_finseq_1(X1)
| ~ v1_finseq_1(X0)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_2792,c_3759,c_3758,c_3757,c_2792]) ).
tcf(c_6530,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : k2_relat_1(k2_tarski(k2_tarski(k2_tarski(X0,X1),k2_enumset1(X0,X0,X0,X0)),k2_tarski(k2_tarski(X2,X3),k2_enumset1(X2,X2,X2,X2)))) = k2_tarski(X1,X3),
inference(global_subsumption_just,[status(thm)],[c_2652,c_2653,c_2652]) ).
tcf(c_6533,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : k1_relat_1(k2_tarski(k2_tarski(k2_tarski(X0,X1),k2_enumset1(X0,X0,X0,X0)),k2_tarski(k2_tarski(X2,X3),k2_enumset1(X2,X2,X2,X2)))) = k2_tarski(X0,X2),
inference(global_subsumption_just,[status(thm)],[c_2651,c_2653,c_2651]) ).
tcf(c_6542,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( v3_struct_0(X2)
| v3_struct_0(X1)
| ( k4_lattices(X2,k8_funct_2(u1_struct_0(X1),u1_struct_0(X2),X0,X3),k8_funct_2(u1_struct_0(X1),u1_struct_0(X2),X0,X4)) = k8_funct_2(u1_struct_0(X1),u1_struct_0(X2),X0,k4_lattices(X1,X3,X4)) )
| ~ m1_lattice4(X0,X1,X2)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X4,u1_struct_0(X1))
| ~ v10_lattices(X1)
| ~ v10_lattices(X2)
| ~ l3_lattices(X1)
| ~ l3_lattices(X2) ),
inference(global_subsumption_just,[status(thm)],[c_861,c_852,c_854,c_853,c_861]) ).
tcf(c_6543,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( v3_struct_0(X2)
| v3_struct_0(X1)
| ( k4_lattices(X2,k8_funct_2(u1_struct_0(X1),u1_struct_0(X2),X0,X3),k8_funct_2(u1_struct_0(X1),u1_struct_0(X2),X0,X4)) = k8_funct_2(u1_struct_0(X1),u1_struct_0(X2),X0,k4_lattices(X1,X3,X4)) )
| ~ l3_lattices(X2)
| ~ l3_lattices(X1)
| ~ v10_lattices(X2)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X4,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_lattice4(X0,X1,X2) ),
inference(renaming,[status(thm)],[c_6542]) ).
tcf(c_6545,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( v3_struct_0(X2)
| v3_struct_0(X1)
| ( k3_lattices(X2,k8_funct_2(u1_struct_0(X1),u1_struct_0(X2),X0,X3),k8_funct_2(u1_struct_0(X1),u1_struct_0(X2),X0,X4)) = k8_funct_2(u1_struct_0(X1),u1_struct_0(X2),X0,k3_lattices(X1,X3,X4)) )
| ~ m1_lattice4(X0,X1,X2)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X4,u1_struct_0(X1))
| ~ v10_lattices(X1)
| ~ v10_lattices(X2)
| ~ l3_lattices(X1)
| ~ l3_lattices(X2) ),
inference(global_subsumption_just,[status(thm)],[c_860,c_852,c_854,c_853,c_860]) ).
tcf(c_6546,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( v3_struct_0(X2)
| v3_struct_0(X1)
| ( k3_lattices(X2,k8_funct_2(u1_struct_0(X1),u1_struct_0(X2),X0,X3),k8_funct_2(u1_struct_0(X1),u1_struct_0(X2),X0,X4)) = k8_funct_2(u1_struct_0(X1),u1_struct_0(X2),X0,k3_lattices(X1,X3,X4)) )
| ~ l3_lattices(X2)
| ~ l3_lattices(X1)
| ~ v10_lattices(X2)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X4,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_lattice4(X0,X1,X2) ),
inference(renaming,[status(thm)],[c_6545]) ).
tcf(c_6548,plain,
! [X0: $i,X1: $i] : k3_relat_1(k2_enumset1(k2_tarski(k2_tarski(X0,X1),k2_enumset1(X0,X0,X0,X0)),k2_tarski(k2_tarski(X0,X1),k2_enumset1(X0,X0,X0,X0)),k2_tarski(k2_tarski(X0,X1),k2_enumset1(X0,X0,X0,X0)),k2_tarski(k2_tarski(X0,X1),k2_enumset1(X0,X0,X0,X0)))) = k2_tarski(X0,X1),
inference(global_subsumption_just,[status(thm)],[c_2305,c_107,c_2305]) ).
tcf(c_6551,plain,
! [X0: $i,X1: $i] : k2_relat_1(k2_enumset1(k2_tarski(k2_tarski(X0,X1),k2_enumset1(X0,X0,X0,X0)),k2_tarski(k2_tarski(X0,X1),k2_enumset1(X0,X0,X0,X0)),k2_tarski(k2_tarski(X0,X1),k2_enumset1(X0,X0,X0,X0)),k2_tarski(k2_tarski(X0,X1),k2_enumset1(X0,X0,X0,X0)))) = k2_enumset1(X1,X1,X1,X1),
inference(global_subsumption_just,[status(thm)],[c_106,c_107,c_106]) ).
tcf(c_6554,plain,
! [X0: $i,X1: $i] : k1_relat_1(k2_enumset1(k2_tarski(k2_tarski(X0,X1),k2_enumset1(X0,X0,X0,X0)),k2_tarski(k2_tarski(X0,X1),k2_enumset1(X0,X0,X0,X0)),k2_tarski(k2_tarski(X0,X1),k2_enumset1(X0,X0,X0,X0)),k2_tarski(k2_tarski(X0,X1),k2_enumset1(X0,X0,X0,X0)))) = k2_enumset1(X0,X0,X0,X0),
inference(global_subsumption_just,[status(thm)],[c_105,c_107,c_105]) ).
tcf(c_6557,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X0)
| ~ m2_relset_1(k10_filter_0(X0,X1),u1_struct_0(X0),u1_struct_0(X0))
| ~ v1_partfun1(k10_filter_0(X0,X1),u1_struct_0(X0),u1_struct_0(X0))
| ~ v10_lattices(k5_filter_1(X0,X1))
| ~ l3_lattices(k5_filter_1(X0,X1))
| ~ v3_lattices(k5_filter_1(X0,X1))
| ~ v3_relat_2(k10_filter_0(X0,X1))
| ~ v8_relat_2(k10_filter_0(X0,X1))
| ~ m1_filter_0(X1,X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ v3_filter_0(X0)
| ( g3_lattices(k8_eqrel_1(u1_struct_0(X0),k10_filter_0(X0,X1)),k4_filter_1(u1_struct_0(X0),k10_filter_0(X0,X1),u2_lattices(X0)),k4_filter_1(u1_struct_0(X0),k10_filter_0(X0,X1),u1_lattices(X0))) = k5_filter_1(X0,X1) ) ),
inference(global_subsumption_just,[status(thm)],[c_296,c_281,c_296]) ).
tcf(c_6558,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X0)
| ( g3_lattices(k8_eqrel_1(u1_struct_0(X0),k10_filter_0(X0,X1)),k4_filter_1(u1_struct_0(X0),k10_filter_0(X0,X1),u2_lattices(X0)),k4_filter_1(u1_struct_0(X0),k10_filter_0(X0,X1),u1_lattices(X0))) = k5_filter_1(X0,X1) )
| ~ v3_filter_0(X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| ~ m1_filter_0(X1,X0)
| ~ v8_relat_2(k10_filter_0(X0,X1))
| ~ v3_relat_2(k10_filter_0(X0,X1))
| ~ v3_lattices(k5_filter_1(X0,X1))
| ~ l3_lattices(k5_filter_1(X0,X1))
| ~ v10_lattices(k5_filter_1(X0,X1))
| ~ v1_partfun1(k10_filter_0(X0,X1),u1_struct_0(X0),u1_struct_0(X0))
| ~ m2_relset_1(k10_filter_0(X0,X1),u1_struct_0(X0),u1_struct_0(X0)) ),
inference(renaming,[status(thm)],[c_6557]) ).
tcf(c_6560,plain,
! [X0: $i,X1: $i] : k5_xboole_0(X0,k5_xboole_0(X1,k3_tarski(k2_tarski(X0,X1)))) = k4_xboole_0(X0,k4_xboole_0(X0,X1)),
inference(theory_normalisation,[status(thm)],[c_2609,c_2613,c_2615]) ).
tcf(c_6564,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k2_enumset1(X0,X0,X0,X0),X1)
| ~ r2_hidden(X0,X1) ),
inference(prop_impl_just,[status(thm)],[c_137]) ).
tcf(c_6568,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(X0,k2_zfmisc_1(X1,X2))
| ~ m1_relset_1(X0,X1,X2) ),
inference(prop_impl_just,[status(thm)],[c_2124]) ).
tcf(c_6572,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(X0,k3_tarski(k2_tarski(X1,X2)))
| ~ r1_tarski(k4_xboole_0(X0,X1),X2) ),
inference(prop_impl_just,[status(thm)],[c_481]) ).
tcf(c_6574,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ m2_relset_1(X0,X1,X2)
| m1_relset_1(X0,X1,X2) ),
inference(prop_impl_just,[status(thm)],[c_2121]) ).
tcf(c_6575,plain,
! [X0: $i,X1: $i,X2: $i] :
( m1_relset_1(X0,X1,X2)
| ~ m2_relset_1(X0,X1,X2) ),
inference(renaming,[status(thm)],[c_6574]) ).
tcf(c_6576,plain,
! [X0: $i,X1: $i,X2: $i] :
( m2_relset_1(X0,X1,X2)
| ~ m1_relset_1(X0,X1,X2) ),
inference(prop_impl_just,[status(thm)],[c_2120]) ).
tcf(c_6580,plain,
! [X0: $i,X1: $i] :
( m1_subset_1(X0,k1_zfmisc_1(X1))
| ~ r1_tarski(X0,X1) ),
inference(prop_impl_just,[status(thm)],[c_540]) ).
tcf(c_6588,plain,
! [X0: $i,X1: $i] :
( ( k1_card_1(X0) = k1_card_1(X1) )
| ~ r2_wellord2(X0,X1) ),
inference(prop_impl_just,[status(thm)],[c_3696]) ).
tcf(c_6604,plain,
! [X0: $i,X1: $i] :
( ( k4_xboole_0(k2_enumset1(X0,X0,X0,X0),X1) = np__0 )
| ~ r2_hidden(X0,X1) ),
inference(prop_impl_just,[status(thm)],[c_1716]) ).
tcf(c_6606,plain,
! [X0: $i,X1: $i] :
( ( k4_xboole_0(X0,k2_enumset1(X1,X1,X1,X1)) != X0 )
| ~ r2_hidden(X1,X0) ),
inference(prop_impl_just,[status(thm)],[c_1722]) ).
tcf(c_6607,plain,
! [X0: $i,X1: $i] :
( ~ r2_hidden(X1,X0)
| ( k4_xboole_0(X0,k2_enumset1(X1,X1,X1,X1)) != X0 ) ),
inference(renaming,[status(thm)],[c_6606]) ).
tcf(c_6608,plain,
! [X0: $i,X1: $i] :
( ( k4_xboole_0(X0,k2_enumset1(X1,X1,X1,X1)) = X0 )
| r2_hidden(X1,X0) ),
inference(prop_impl_just,[status(thm)],[c_1721]) ).
tcf(c_6609,plain,
! [X0: $i,X1: $i] :
( r2_hidden(X1,X0)
| ( k4_xboole_0(X0,k2_enumset1(X1,X1,X1,X1)) = X0 ) ),
inference(renaming,[status(thm)],[c_6608]) ).
tcf(c_6616,plain,
! [X0: $i,X1: $i] :
( r1_xboole_0(k2_enumset1(X0,X0,X0,X0),X1)
| r2_hidden(X0,X1) ),
inference(prop_impl_just,[status(thm)],[c_2430]) ).
tcf(c_6617,plain,
! [X0: $i,X1: $i] :
( r2_hidden(X0,X1)
| r1_xboole_0(k2_enumset1(X0,X0,X0,X0),X1) ),
inference(renaming,[status(thm)],[c_6616]) ).
tcf(c_6622,plain,
! [X0: $i,X1: $i] :
( ( k4_xboole_0(X0,k4_xboole_0(X0,X1)) != np__0 )
| r1_xboole_0(X0,X1) ),
inference(prop_impl_just,[status(thm)],[c_2478]) ).
tcf(c_6623,plain,
! [X0: $i,X1: $i] :
( r1_xboole_0(X0,X1)
| ( k4_xboole_0(X0,k4_xboole_0(X0,X1)) != np__0 ) ),
inference(renaming,[status(thm)],[c_6622]) ).
tcf(c_6624,plain,
! [X0: $i,X1: $i] :
( ( k4_xboole_0(X0,k4_xboole_0(X0,X1)) = np__0 )
| ~ r1_xboole_0(X0,X1) ),
inference(prop_impl_just,[status(thm)],[c_2479]) ).
tcf(c_6652,plain,
! [X0: $i] :
( v1_xboole_0(k1_pre_topc(X0))
| ~ l1_pre_topc(X0) ),
inference(prop_impl_just,[status(thm)],[c_6134]) ).
tcf(c_6654,plain,
! [X0: $i] :
( v1_membered(k1_pre_topc(X0))
| ~ l1_pre_topc(X0) ),
inference(prop_impl_just,[status(thm)],[c_6131]) ).
tcf(c_6656,plain,
! [X0: $i] :
( v2_membered(k1_pre_topc(X0))
| ~ l1_pre_topc(X0) ),
inference(prop_impl_just,[status(thm)],[c_6128]) ).
tcf(c_6658,plain,
! [X0: $i] :
( v3_membered(k1_pre_topc(X0))
| ~ l1_pre_topc(X0) ),
inference(prop_impl_just,[status(thm)],[c_6125]) ).
tcf(c_6660,plain,
! [X0: $i] :
( v4_membered(k1_pre_topc(X0))
| ~ l1_pre_topc(X0) ),
inference(prop_impl_just,[status(thm)],[c_6122]) ).
tcf(c_6662,plain,
! [X0: $i] :
( v5_membered(k1_pre_topc(X0))
| ~ l1_pre_topc(X0) ),
inference(prop_impl_just,[status(thm)],[c_6119]) ).
tcf(c_6694,plain,
! [X0: $i] :
( ~ sP32(X0)
| ~ v3_struct_0(X0) ),
inference(prop_impl_just,[status(thm)],[c_3403]) ).
tcf(c_6720,plain,
! [X0: $i] :
( ( k6_subset_1(u1_struct_0(X0),k2_pre_topc(X0),k2_pre_topc(X0)) = np__0 )
| ~ l1_struct_0(X0) ),
inference(prop_impl_just,[status(thm)],[c_6343]) ).
tcf(c_6810,plain,
! [X0: $i] :
( v2_funct_1(X0)
| ~ v1_xboole_0(X0) ),
inference(prop_impl_just,[status(thm)],[c_6166]) ).
tcf(c_6826,plain,
! [X0: $i,X1: $i] :
( ~ r2_hidden(X0,X1)
| ~ v1_xboole_0(X1) ),
inference(prop_impl_just,[status(thm)],[c_597]) ).
tcf(c_6827,plain,
! [X0: $i,X1: $i] :
( ~ v1_xboole_0(X1)
| ~ r2_hidden(X0,X1) ),
inference(renaming,[status(thm)],[c_6826]) ).
tcf(c_6828,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(X1,X2)
| ~ r1_tarski(k3_tarski(k2_tarski(X0,k2_enumset1(X1,X1,X1,X1))),X2) ),
inference(prop_impl_just,[status(thm)],[c_86]) ).
tcf(c_6846,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k4_xboole_0(k3_tarski(k2_tarski(X0,X2)),k4_xboole_0(k3_tarski(k2_tarski(X0,X2)),X1)) = k3_tarski(k2_tarski(X0,k4_xboole_0(X2,k4_xboole_0(X2,X1)))) )
| ~ r1_tarski(X0,X1) ),
inference(prop_impl_just,[status(thm)],[c_402]) ).
tcf(c_6848,plain,
! [X0: $i,X1: $i] :
( ( k4_xboole_0(X0,k4_xboole_0(X0,X1)) = X0 )
| ~ r1_tarski(X0,X1) ),
inference(prop_impl_just,[status(thm)],[c_404]) ).
tcf(c_6850,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k4_xboole_0(X0,k4_xboole_0(X0,X2)),k4_xboole_0(X1,k4_xboole_0(X1,X2)))
| ~ r1_tarski(X0,X1) ),
inference(prop_impl_just,[status(thm)],[c_406]) ).
tcf(c_6868,plain,
! [X0: $i,X1: $i] :
( v1_funct_1(sK90(X1,X0))
| ~ r1_tarski(X0,X1) ),
inference(prop_impl_just,[status(thm)],[c_540,c_604]) ).
tcf(c_6870,plain,
! [X0: $i,X1: $i] :
( v1_funct_2(sK90(X1,X0),k2_zfmisc_1(X1,X1),X1)
| ~ r1_tarski(X0,X1) ),
inference(prop_impl_just,[status(thm)],[c_540,c_605]) ).
tcf(c_6872,plain,
! [X0: $i,X1: $i] :
( m2_relset_1(sK90(X1,X0),k2_zfmisc_1(X1,X1),X1)
| ~ r1_tarski(X0,X1) ),
inference(prop_impl_just,[status(thm)],[c_540,c_606]) ).
tcf(c_6874,plain,
! [X0: $i,X1: $i] :
( ( k3_subset_1(X1,k3_subset_1(X1,X0)) = X0 )
| ~ r1_tarski(X0,X1) ),
inference(prop_impl_just,[status(thm)],[c_540,c_1292]) ).
tcf(c_6876,plain,
! [X0: $i,X1: $i] :
( m1_subset_1(k3_subset_1(X1,X0),k1_zfmisc_1(X1))
| ~ r1_tarski(X0,X1) ),
inference(prop_impl_just,[status(thm)],[c_540,c_1293]) ).
tcf(c_6878,plain,
! [X0: $i,X1: $i] :
( r1_xboole_0(X0,k3_subset_1(X1,X0))
| ~ r1_tarski(X0,X1) ),
inference(prop_impl_just,[status(thm)],[c_540,c_1317]) ).
tcf(c_6880,plain,
! [X0: $i,X1: $i] :
( ( k4_xboole_0(X1,X0) = k3_subset_1(X1,X0) )
| ~ r1_tarski(X0,X1) ),
inference(prop_impl_just,[status(thm)],[c_540,c_1318]) ).
tcf(c_6892,plain,
! [X0: $i,X1: $i] :
( ( k9_relat_1(k6_partfun1(X1),X0) = X0 )
| ~ r1_tarski(X0,X1) ),
inference(prop_impl_just,[status(thm)],[c_540,c_2164]) ).
tcf(c_6900,plain,
! [X0: $i,X1: $i] :
( ( k3_funct_2(X1,X1,k6_partfun1(X1),X0) = X0 )
| ~ r1_tarski(X0,X1) ),
inference(prop_impl_just,[status(thm)],[c_540,c_3487]) ).
tcf(c_6908,plain,
! [X0: $i,X1: $i] :
( ~ m1_subset_1(X0,k5_finsub_1(X1))
| r1_tarski(X0,X1) ),
inference(prop_impl_just,[status(thm)],[c_541,c_1649]) ).
tcf(c_6909,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,X1)
| ~ m1_subset_1(X0,k5_finsub_1(X1)) ),
inference(renaming,[status(thm)],[c_6908]) ).
tcf(c_6916,plain,
! [X0: $i,X1: $i] :
( m1_subset_1(k2_enumset1(X0,X0,X0,X0),k1_zfmisc_1(X1))
| ~ r2_hidden(X0,X1) ),
inference(prop_impl_just,[status(thm)],[c_108]) ).
tcf(c_6918,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(k2_tarski(k2_tarski(X0,X2),k2_enumset1(X0,X0,X0,X0)),k2_zfmisc_1(X1,k2_enumset1(X2,X2,X2,X2)))
| ~ r2_hidden(X0,X1) ),
inference(prop_impl_just,[status(thm)],[c_113]) ).
tcf(c_6920,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(k2_tarski(k2_tarski(X2,X0),k2_enumset1(X2,X2,X2,X2)),k2_zfmisc_1(k2_enumset1(X2,X2,X2,X2),X1))
| ~ r2_hidden(X0,X1) ),
inference(prop_impl_just,[status(thm)],[c_116]) ).
tcf(c_6922,plain,
! [X0: $i,X1: $i] :
( ( k3_tarski(k2_tarski(k2_enumset1(X0,X0,X0,X0),X1)) = X1 )
| ~ r2_hidden(X0,X1) ),
inference(prop_impl_just,[status(thm)],[c_121]) ).
tcf(c_6924,plain,
! [X0: $i,X1: $i] :
( ( k4_xboole_0(X1,k4_xboole_0(X1,k2_enumset1(X0,X0,X0,X0))) = k2_enumset1(X0,X0,X0,X0) )
| ~ r2_hidden(X0,X1) ),
inference(prop_impl_just,[status(thm)],[c_388]) ).
tcf(c_6940,plain,
! [X0: $i,X1: $i] :
( ( k2_enumset1(X0,X0,X0,X0) = k6_eqrel_1(X1,k6_partfun1(X1),X0) )
| ~ r2_hidden(X0,X1) ),
inference(prop_impl_just,[status(thm)],[c_2390]) ).
tcf(c_6948,plain,
! [X0: $i,X1: $i] :
( ( k4_xboole_0(k2_tarski(X0,X0),k4_xboole_0(k2_tarski(X0,X0),X1)) = k2_enumset1(X0,X0,X0,X0) )
| ~ r2_hidden(X0,X1) ),
inference(prop_impl_just,[status(thm)],[c_2676]) ).
tcf(c_6960,plain,
! [X0: $i,X1: $i] :
( ( k2_enumset1(X0,X0,X0,X0) = k4_xboole_0(k2_tarski(X0,X0),X1) )
| r2_hidden(X0,X1) ),
inference(prop_impl_just,[status(thm)],[c_2671]) ).
tcf(c_6961,plain,
! [X0: $i,X1: $i] :
( r2_hidden(X0,X1)
| ( k2_enumset1(X0,X0,X0,X0) = k4_xboole_0(k2_tarski(X0,X0),X1) ) ),
inference(renaming,[status(thm)],[c_6960]) ).
tcf(c_6968,plain,
! [X0: $i] :
( r2_hidden(k2_tarski(k2_tarski(sK134(X0),sK135(X0)),k2_enumset1(sK134(X0),sK134(X0),sK134(X0),sK134(X0))),X0)
| v1_funct_1(X0) ),
inference(prop_impl_just,[status(thm)],[c_772]) ).
tcf(c_6969,plain,
! [X0: $i] :
( v1_funct_1(X0)
| r2_hidden(k2_tarski(k2_tarski(sK134(X0),sK135(X0)),k2_enumset1(sK134(X0),sK134(X0),sK134(X0),sK134(X0))),X0) ),
inference(renaming,[status(thm)],[c_6968]) ).
tcf(c_6970,plain,
! [X0: $i] :
( r2_hidden(k2_tarski(k2_tarski(sK134(X0),sK136(X0)),k2_enumset1(sK134(X0),sK134(X0),sK134(X0),sK134(X0))),X0)
| v1_funct_1(X0) ),
inference(prop_impl_just,[status(thm)],[c_773]) ).
tcf(c_6971,plain,
! [X0: $i] :
( v1_funct_1(X0)
| r2_hidden(k2_tarski(k2_tarski(sK134(X0),sK136(X0)),k2_enumset1(sK134(X0),sK134(X0),sK134(X0),sK134(X0))),X0) ),
inference(renaming,[status(thm)],[c_6970]) ).
tcf(c_6974,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k2_tarski(k2_tarski(X0,X1),k2_enumset1(X0,X0,X0,X0)) != sK146(X2) )
| v1_relat_1(X2) ),
inference(prop_impl_just,[status(thm)],[c_788]) ).
tcf(c_6975,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_relat_1(X2)
| ( k2_tarski(k2_tarski(X0,X1),k2_enumset1(X0,X0,X0,X0)) != sK146(X2) ) ),
inference(renaming,[status(thm)],[c_6974]) ).
tcf(c_6976,plain,
! [X0: $i,X1: $i] :
( ( X1 = np__0 )
| ( k2_zfmisc_1(k2_enumset1(X0,X0,X0,X0),X1) != np__0 ) ),
inference(prop_impl_just,[status(thm)],[c_111]) ).
tcf(c_6978,plain,
! [X0: $i,X1: $i] :
( ( X0 = np__0 )
| ( k2_zfmisc_1(X0,k2_enumset1(X1,X1,X1,X1)) != np__0 ) ),
inference(prop_impl_just,[status(thm)],[c_112]) ).
tcf(c_6986,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k2_enumset1(X0,X0,X0,X0) != k4_xboole_0(k2_tarski(X0,X1),X2) )
| ~ r2_hidden(X0,X2) ),
inference(prop_impl_just,[status(thm)],[c_2672]) ).
tcf(c_6987,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r2_hidden(X0,X2)
| ( k2_enumset1(X0,X0,X0,X0) != k4_xboole_0(k2_tarski(X0,X1),X2) ) ),
inference(renaming,[status(thm)],[c_6986]) ).
tcf(c_6990,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r2_hidden(X0,k4_xboole_0(X1,k4_xboole_0(X1,X2)))
| r2_hidden(X0,X2) ),
inference(prop_impl_just,[status(thm)],[c_427]) ).
tcf(c_6991,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(X0,X2)
| ~ r2_hidden(X0,k4_xboole_0(X1,k4_xboole_0(X1,X2))) ),
inference(renaming,[status(thm)],[c_6990]) ).
tcf(c_6992,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r2_hidden(k2_tarski(k2_tarski(X0,X1),k2_enumset1(X0,X0,X0,X0)),k2_zfmisc_1(X2,X3))
| r2_hidden(X0,X2) ),
inference(prop_impl_just,[status(thm)],[c_810]) ).
tcf(c_6993,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r2_hidden(X0,X2)
| ~ r2_hidden(k2_tarski(k2_tarski(X0,X1),k2_enumset1(X0,X0,X0,X0)),k2_zfmisc_1(X2,X3)) ),
inference(renaming,[status(thm)],[c_6992]) ).
tcf(c_6996,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k4_xboole_0(k2_tarski(X0,X1),k4_xboole_0(k2_tarski(X0,X1),X2)) != k2_tarski(X0,X1) )
| r2_hidden(X0,X2) ),
inference(prop_impl_just,[status(thm)],[c_2674]) ).
tcf(c_6997,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(X0,X2)
| ( k4_xboole_0(k2_tarski(X0,X1),k4_xboole_0(k2_tarski(X0,X1),X2)) != k2_tarski(X0,X1) ) ),
inference(renaming,[status(thm)],[c_6996]) ).
tcf(c_7004,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X1 = X3 )
| ~ r2_hidden(k2_tarski(k2_tarski(X0,X1),k2_enumset1(X0,X0,X0,X0)),k2_zfmisc_1(X2,k2_enumset1(X3,X3,X3,X3))) ),
inference(prop_impl_just,[status(thm)],[c_115]) ).
tcf(c_7008,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r2_hidden(k2_tarski(k2_tarski(X0,X1),k2_enumset1(X0,X0,X0,X0)),k2_zfmisc_1(X2,X3))
| r2_hidden(X1,X3) ),
inference(prop_impl_just,[status(thm)],[c_811]) ).
tcf(c_7009,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r2_hidden(X1,X3)
| ~ r2_hidden(k2_tarski(k2_tarski(X0,X1),k2_enumset1(X0,X0,X0,X0)),k2_zfmisc_1(X2,X3)) ),
inference(renaming,[status(thm)],[c_7008]) ).
tcf(c_7010,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X0 = X2 )
| ~ r2_hidden(k2_tarski(k2_tarski(X0,X1),k2_enumset1(X0,X0,X0,X0)),k2_zfmisc_1(k2_enumset1(X2,X2,X2,X2),X3)) ),
inference(prop_impl_just,[status(thm)],[c_117]) ).
tcf(c_7022,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( k3_tarski(k2_tarski(k2_enumset1(X0,X0,X0,X0),k2_enumset1(X1,X1,X1,X1))) != k2_enumset1(X0,X0,X0,X0) ) ),
inference(prop_impl_just,[status(thm)],[c_144]) ).
tcf(c_7024,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ r2_hidden(X0,k2_enumset1(X1,X1,X1,X1)) ),
inference(prop_impl_just,[status(thm)],[c_150]) ).
tcf(c_7188,plain,
! [X0: $i,X1: $i] :
( v1_finset_1(k4_xboole_0(X1,k4_xboole_0(X1,X0)))
| ~ v1_finset_1(X0) ),
inference(prop_impl_just,[status(thm)],[c_366]) ).
tcf(c_7226,plain,
! [X0: $i] :
( ( k4_xboole_0(X0,k4_xboole_0(X0,k2_zfmisc_1(k1_relat_1(X0),k2_relat_1(X0)))) = X0 )
| ~ v1_relat_1(X0) ),
inference(prop_impl_just,[status(thm)],[c_375]) ).
tcf(c_7228,plain,
! [X0: $i,X1: $i] :
( v1_relat_1(k4_xboole_0(X1,k4_xboole_0(X1,X0)))
| ~ v1_relat_1(X0) ),
inference(prop_impl_just,[status(thm)],[c_377]) ).
tcf(c_7238,plain,
! [X0: $i,X1: $i] :
( v1_relat_1(k7_relat_1(X0,X1))
| ~ v1_relat_1(X0) ),
inference(prop_impl_just,[status(thm)],[c_2035]) ).
tcf(c_7240,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k4_xboole_0(X1,k4_xboole_0(X1,k10_relat_1(X0,X2))) = k10_relat_1(k7_relat_1(X0,X1),X2) )
| ~ v1_relat_1(X0) ),
inference(prop_impl_just,[status(thm)],[c_2019]) ).
tcf(c_7246,plain,
! [X0: $i,X1: $i] :
( ( k4_xboole_0(k1_relat_1(X0),k4_xboole_0(k1_relat_1(X0),X1)) = k1_relat_1(k7_relat_1(X0,X1)) )
| ~ v1_relat_1(X0) ),
inference(prop_impl_just,[status(thm)],[c_2065]) ).
tcf(c_7256,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k4_xboole_0(k7_relat_1(X0,X1),k4_xboole_0(k7_relat_1(X0,X1),k7_relat_1(X0,X2))) = k7_relat_1(X0,k4_xboole_0(X1,k4_xboole_0(X1,X2))) )
| ~ v1_relat_1(X0) ),
inference(prop_impl_just,[status(thm)],[c_2047]) ).
tcf(c_7262,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k7_relat_1(X0,k4_xboole_0(X1,k4_xboole_0(X1,X2))) = k7_relat_1(k7_relat_1(X0,X1),X2) )
| ~ v1_relat_1(X0) ),
inference(prop_impl_just,[status(thm)],[c_2055]) ).
tcf(c_7266,plain,
! [X0: $i,X1: $i] :
( ( k4_xboole_0(X0,k4_xboole_0(X0,k2_zfmisc_1(X1,k2_relat_1(X0)))) = k7_relat_1(X0,X1) )
| ~ v1_relat_1(X0) ),
inference(prop_impl_just,[status(thm)],[c_2059]) ).
tcf(c_7296,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k4_xboole_0(X1,k4_xboole_0(X1,k10_relat_1(X0,X2))),k10_relat_1(X0,k4_xboole_0(k9_relat_1(X0,X1),k4_xboole_0(k9_relat_1(X0,X1),X2))))
| ~ v1_relat_1(X0) ),
inference(prop_impl_just,[status(thm)],[c_3094]) ).
tcf(c_7300,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k10_relat_1(X0,k4_xboole_0(X1,k4_xboole_0(X1,X2))),k4_xboole_0(k10_relat_1(X0,X1),k4_xboole_0(k10_relat_1(X0,X1),k10_relat_1(X0,X2))))
| ~ v1_relat_1(X0) ),
inference(prop_impl_just,[status(thm)],[c_3117]) ).
tcf(c_7310,plain,
! [X0: $i,X1: $i] :
( ( k10_relat_1(X0,k4_xboole_0(k2_relat_1(X0),k4_xboole_0(k2_relat_1(X0),X1))) = k10_relat_1(X0,X1) )
| ~ v1_relat_1(X0) ),
inference(prop_impl_just,[status(thm)],[c_3124]) ).
tcf(c_7316,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k9_relat_1(X0,k4_xboole_0(X1,k4_xboole_0(X1,X2))),k4_xboole_0(k9_relat_1(X0,X1),k4_xboole_0(k9_relat_1(X0,X1),k9_relat_1(X0,X2))))
| ~ v1_relat_1(X0) ),
inference(prop_impl_just,[status(thm)],[c_3157]) ).
tcf(c_7326,plain,
! [X0: $i,X1: $i] :
( ( k9_relat_1(X0,k4_xboole_0(k1_relat_1(X0),k4_xboole_0(k1_relat_1(X0),X1))) = k9_relat_1(X0,X1) )
| ~ v1_relat_1(X0) ),
inference(prop_impl_just,[status(thm)],[c_3164]) ).
tcf(c_7332,plain,
! [X0: $i,X1: $i] :
( v1_relat_1(k8_relat_1(X1,X0))
| ~ v1_relat_1(X0) ),
inference(prop_impl_just,[status(thm)],[c_3291]) ).
tcf(c_7340,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k4_xboole_0(k8_relat_1(X1,X0),k4_xboole_0(k8_relat_1(X1,X0),k8_relat_1(X2,X0))) = k8_relat_1(k4_xboole_0(X1,k4_xboole_0(X1,X2)),X0) )
| ~ v1_relat_1(X0) ),
inference(prop_impl_just,[status(thm)],[c_3297]) ).
tcf(c_7346,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k8_relat_1(k4_xboole_0(X1,k4_xboole_0(X1,X2)),X0) = k8_relat_1(X1,k8_relat_1(X2,X0)) )
| ~ v1_relat_1(X0) ),
inference(prop_impl_just,[status(thm)],[c_3305]) ).
tcf(c_7350,plain,
! [X0: $i,X1: $i] :
( ( k4_xboole_0(X0,k4_xboole_0(X0,k2_zfmisc_1(k1_relat_1(X0),X1))) = k8_relat_1(X1,X0) )
| ~ v1_relat_1(X0) ),
inference(prop_impl_just,[status(thm)],[c_3308]) ).
tcf(c_7352,plain,
! [X0: $i,X1: $i] :
( ( k4_xboole_0(k2_relat_1(X0),k4_xboole_0(k2_relat_1(X0),X1)) = k2_relat_1(k8_relat_1(X1,X0)) )
| ~ v1_relat_1(X0) ),
inference(prop_impl_just,[status(thm)],[c_3312]) ).
tcf(c_7358,plain,
! [X0: $i] :
( v1_relat_1(k4_relat_1(X0))
| ~ v1_relat_1(X0) ),
inference(prop_impl_just,[status(thm)],[c_3373]) ).
tcf(c_7362,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k4_xboole_0(k2_relat_1(X0),k4_xboole_0(k2_relat_1(X0),X1)),k10_relat_1(k4_relat_1(X0),k10_relat_1(X0,X1)))
| ~ v1_relat_1(X0) ),
inference(prop_impl_just,[status(thm)],[c_3374]) ).
tcf(c_7364,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k4_xboole_0(k1_relat_1(X0),k4_xboole_0(k1_relat_1(X0),X1)),k9_relat_1(k4_relat_1(X0),k9_relat_1(X0,X1)))
| ~ v1_relat_1(X0) ),
inference(prop_impl_just,[status(thm)],[c_3375]) ).
tcf(c_7376,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k2_tarski(k2_tarski(sK164(X0),sK165(X0)),k2_enumset1(sK164(X0),sK164(X0),sK164(X0),sK164(X0))) = X0 )
| ~ r2_hidden(X0,k2_zfmisc_1(X1,X2)) ),
inference(prop_impl_just,[status(thm)],[c_815]) ).
tcf(c_7382,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k2_tarski(k2_tarski(sK169(X1,X2,X0),sK170(X1,X2,X0)),k2_enumset1(sK169(X1,X2,X0),sK169(X1,X2,X0),sK169(X1,X2,X0),sK169(X1,X2,X0))) = X0 )
| ~ r2_hidden(X0,k2_zfmisc_1(X1,X2)) ),
inference(prop_impl_just,[status(thm)],[c_825]) ).
tcf(c_7384,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( k2_tarski(k2_tarski(sK60(X0,X1,X2,X3,X4),sK61(X0,X1,X2,X3,X4)),k2_enumset1(sK60(X0,X1,X2,X3,X4),sK60(X0,X1,X2,X3,X4),sK60(X0,X1,X2,X3,X4),sK60(X0,X1,X2,X3,X4))) = X0 )
| ~ r2_hidden(X0,k4_xboole_0(k2_zfmisc_1(X1,X2),k4_xboole_0(k2_zfmisc_1(X1,X2),k2_zfmisc_1(X3,X4)))) ),
inference(prop_impl_just,[status(thm)],[c_384]) ).
tcf(c_7386,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( r2_hidden(sK60(X0,X1,X2,X3,X4),k4_xboole_0(X1,k4_xboole_0(X1,X3)))
| ~ r2_hidden(X0,k4_xboole_0(k2_zfmisc_1(X1,X2),k4_xboole_0(k2_zfmisc_1(X1,X2),k2_zfmisc_1(X3,X4)))) ),
inference(prop_impl_just,[status(thm)],[c_385]) ).
tcf(c_7388,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( r2_hidden(sK61(X0,X1,X2,X3,X4),k4_xboole_0(X2,k4_xboole_0(X2,X4)))
| ~ r2_hidden(X0,k4_xboole_0(k2_zfmisc_1(X1,X2),k4_xboole_0(k2_zfmisc_1(X1,X2),k2_zfmisc_1(X3,X4)))) ),
inference(prop_impl_just,[status(thm)],[c_386]) ).
tcf(c_7394,plain,
! [X0: $i,X1: $i] :
( r2_hidden(X1,X0)
| ( k4_xboole_0(X0,k4_xboole_0(X0,k2_enumset1(X1,X1,X1,X1))) != k2_enumset1(X1,X1,X1,X1) ) ),
inference(prop_impl_just,[status(thm)],[c_389]) ).
tcf(c_7396,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( k4_xboole_0(k2_enumset1(X0,X0,X0,X0),k4_xboole_0(k2_enumset1(X0,X0,X0,X0),k2_enumset1(X1,X1,X1,X1))) != k2_enumset1(X0,X0,X0,X0) ) ),
inference(prop_impl_just,[status(thm)],[c_390]) ).
tcf(c_7404,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r1_xboole_0(X1,X2)
| ~ r2_hidden(X0,k4_xboole_0(X1,k4_xboole_0(X1,X2))) ),
inference(prop_impl_just,[status(thm)],[c_2474]) ).
tcf(c_7418,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r1_tarski(X0,k5_xboole_0(X1,X2))
| r1_tarski(k4_xboole_0(X0,X1),X2) ),
inference(prop_impl_just,[status(thm)],[c_2601,c_482]) ).
tcf(c_7419,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k4_xboole_0(X0,X1),X2)
| ~ r1_tarski(X0,k5_xboole_0(X1,X2)) ),
inference(renaming,[status(thm)],[c_7418]) ).
tcf(c_7486,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ m1_relset_1(X0,X1,X2)
| m1_subset_1(X0,k1_zfmisc_1(k2_zfmisc_1(X1,X2))) ),
inference(prop_impl_just,[status(thm)],[c_2120,c_611]) ).
tcf(c_7487,plain,
! [X0: $i,X1: $i,X2: $i] :
( m1_subset_1(X0,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
| ~ m1_relset_1(X0,X1,X2) ),
inference(renaming,[status(thm)],[c_7486]) ).
tcf(c_7494,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ m1_relset_1(X0,X1,X2)
| r1_tarski(k1_relat_1(X0),X1) ),
inference(prop_impl_just,[status(thm)],[c_2120,c_713]) ).
tcf(c_7495,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k1_relat_1(X0),X1)
| ~ m1_relset_1(X0,X1,X2) ),
inference(renaming,[status(thm)],[c_7494]) ).
tcf(c_7500,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(X2,k2_zfmisc_1(sK125(X2),sK126(X2)))
| ( k2_tarski(k2_tarski(X0,X1),k2_enumset1(X0,X0,X0,X0)) != sK124(X2) ) ),
inference(prop_impl_just,[status(thm)],[c_757]) ).
tcf(c_7518,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r2_hidden(k2_tarski(k2_tarski(X1,X0),k2_enumset1(X1,X1,X1,X1)),k2_zfmisc_1(X3,X2))
| ~ r2_hidden(k2_tarski(k2_tarski(X0,X1),k2_enumset1(X0,X0,X0,X0)),k2_zfmisc_1(X2,X3)) ),
inference(prop_impl_just,[status(thm)],[c_808]) ).
tcf(c_7520,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X0 = X2 )
| ( k2_tarski(k2_tarski(X0,X1),k2_enumset1(X0,X0,X0,X0)) != k2_tarski(k2_tarski(X2,X3),k2_enumset1(X2,X2,X2,X2)) ) ),
inference(prop_impl_just,[status(thm)],[c_816]) ).
tcf(c_7522,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X1 = X3 )
| ( k2_tarski(k2_tarski(X0,X1),k2_enumset1(X0,X0,X0,X0)) != k2_tarski(k2_tarski(X2,X3),k2_enumset1(X2,X2,X2,X2)) ) ),
inference(prop_impl_just,[status(thm)],[c_817]) ).
tcf(c_7682,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k2_relat_1(X0),X2)
| ~ m1_relset_1(X0,X1,X2) ),
inference(prop_impl_just,[status(thm)],[c_2120,c_714]) ).
tcf(c_7684,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k5_relat_1(X0,k6_partfun1(X2)) = X0 )
| ~ m1_relset_1(X0,X1,X2) ),
inference(prop_impl_just,[status(thm)],[c_2120,c_2157]) ).
tcf(c_7686,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k5_relat_1(k6_partfun1(X1),X0) = X0 )
| ~ m1_relset_1(X0,X1,X2) ),
inference(prop_impl_just,[status(thm)],[c_2120,c_2158]) ).
tcf(c_7688,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k3_relat_1(X0),k3_tarski(k2_tarski(X1,X2)))
| ~ m1_relset_1(X0,X1,X2) ),
inference(prop_impl_just,[status(thm)],[c_2120,c_2299]) ).
tcf(c_7694,plain,
! [X0: $i,X1: $i] :
( sP16(X0,X1,k6_pre_topc(X0,X1))
| ~ sP17(k6_pre_topc(X0,X1),X1,X0) ),
inference(prop_impl_just,[status(thm)],[c_1237]) ).
tcf(c_7714,plain,
! [X0: $i,X1: $i] :
( v1_membered(k4_xboole_0(X1,k4_xboole_0(X1,X0)))
| ~ v5_membered(X0) ),
inference(prop_impl_just,[status(thm)],[c_1354]) ).
tcf(c_7716,plain,
! [X0: $i,X1: $i] :
( v2_membered(k4_xboole_0(X1,k4_xboole_0(X1,X0)))
| ~ v5_membered(X0) ),
inference(prop_impl_just,[status(thm)],[c_1355]) ).
tcf(c_7718,plain,
! [X0: $i,X1: $i] :
( v3_membered(k4_xboole_0(X1,k4_xboole_0(X1,X0)))
| ~ v5_membered(X0) ),
inference(prop_impl_just,[status(thm)],[c_1356]) ).
tcf(c_7720,plain,
! [X0: $i,X1: $i] :
( v4_membered(k4_xboole_0(X1,k4_xboole_0(X1,X0)))
| ~ v5_membered(X0) ),
inference(prop_impl_just,[status(thm)],[c_1357]) ).
tcf(c_7722,plain,
! [X0: $i,X1: $i] :
( v5_membered(k4_xboole_0(X1,k4_xboole_0(X1,X0)))
| ~ v5_membered(X0) ),
inference(prop_impl_just,[status(thm)],[c_1358]) ).
tcf(c_7756,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k4_xboole_0(X0,k4_xboole_0(X0,k3_tarski(k2_tarski(X1,X2)))) = k4_xboole_0(X0,k4_xboole_0(X0,X2)) )
| ~ r1_xboole_0(X0,X1) ),
inference(prop_impl_just,[status(thm)],[c_2451]) ).
tcf(c_7760,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_xboole_0(k4_xboole_0(X2,k4_xboole_0(X2,X0)),k4_xboole_0(X2,k4_xboole_0(X2,X1)))
| ~ r1_xboole_0(X0,X1) ),
inference(prop_impl_just,[status(thm)],[c_2453]) ).
tcf(c_7768,plain,
! [X0: $i,X1: $i] :
( ~ r1_xboole_0(k4_xboole_0(X0,k4_xboole_0(X0,X1)),X1)
| r1_xboole_0(X0,X1) ),
inference(prop_impl_just,[status(thm)],[c_2454]) ).
tcf(c_7769,plain,
! [X0: $i,X1: $i] :
( r1_xboole_0(X0,X1)
| ~ r1_xboole_0(k4_xboole_0(X0,k4_xboole_0(X0,X1)),X1) ),
inference(renaming,[status(thm)],[c_7768]) ).
tcf(c_7772,plain,
! [X0: $i,X1: $i] :
( r2_hidden(sK391(X0,X1),k4_xboole_0(X0,k4_xboole_0(X0,X1)))
| r1_xboole_0(X0,X1) ),
inference(prop_impl_just,[status(thm)],[c_2473]) ).
tcf(c_7773,plain,
! [X0: $i,X1: $i] :
( r1_xboole_0(X0,X1)
| r2_hidden(sK391(X0,X1),k4_xboole_0(X0,k4_xboole_0(X0,X1))) ),
inference(renaming,[status(thm)],[c_7772]) ).
tcf(c_7778,plain,
! [X0: $i] :
( v1_membered(k2_enumset1(X0,X0,X0,X0))
| ~ v4_ordinal2(X0) ),
inference(prop_impl_just,[status(thm)],[c_1384]) ).
tcf(c_7780,plain,
! [X0: $i] :
( v2_membered(k2_enumset1(X0,X0,X0,X0))
| ~ v4_ordinal2(X0) ),
inference(prop_impl_just,[status(thm)],[c_1385]) ).
tcf(c_7782,plain,
! [X0: $i] :
( v3_membered(k2_enumset1(X0,X0,X0,X0))
| ~ v4_ordinal2(X0) ),
inference(prop_impl_just,[status(thm)],[c_1386]) ).
tcf(c_7784,plain,
! [X0: $i] :
( v4_membered(k2_enumset1(X0,X0,X0,X0))
| ~ v4_ordinal2(X0) ),
inference(prop_impl_just,[status(thm)],[c_1387]) ).
tcf(c_7786,plain,
! [X0: $i] :
( v5_membered(k2_enumset1(X0,X0,X0,X0))
| ~ v4_ordinal2(X0) ),
inference(prop_impl_just,[status(thm)],[c_1388]) ).
tcf(c_7794,plain,
! [X0: $i] :
( ( k4_xboole_0(k2_finseq_1(k2_xcmplx_0(X0,np__1)),k2_enumset1(k2_xcmplx_0(X0,np__1),k2_xcmplx_0(X0,np__1),k2_xcmplx_0(X0,np__1),k2_xcmplx_0(X0,np__1))) = k2_finseq_1(X0) )
| ~ v4_ordinal2(X0) ),
inference(prop_impl_just,[status(thm)],[c_2562]) ).
tcf(c_7796,plain,
! [X0: $i] :
( ( k3_tarski(k2_tarski(k2_finseq_1(X0),k2_enumset1(k2_xcmplx_0(X0,np__1),k2_xcmplx_0(X0,np__1),k2_xcmplx_0(X0,np__1),k2_xcmplx_0(X0,np__1)))) = k2_finseq_1(k2_xcmplx_0(X0,np__1)) )
| ~ v4_ordinal2(X0) ),
inference(prop_impl_just,[status(thm)],[c_2563]) ).
tcf(c_7804,plain,
! [X0: $i,X1: $i] :
( v1_membered(k4_xboole_0(X1,k4_xboole_0(X1,X0)))
| ~ v1_membered(X0) ),
inference(prop_impl_just,[status(thm)],[c_1580]) ).
tcf(c_7814,plain,
! [X0: $i,X1: $i] :
( v1_membered(k4_xboole_0(X1,k4_xboole_0(X1,X0)))
| ~ v2_membered(X0) ),
inference(prop_impl_just,[status(thm)],[c_1538]) ).
tcf(c_7816,plain,
! [X0: $i,X1: $i] :
( v2_membered(k4_xboole_0(X1,k4_xboole_0(X1,X0)))
| ~ v2_membered(X0) ),
inference(prop_impl_just,[status(thm)],[c_1539]) ).
tcf(c_7832,plain,
! [X0: $i,X1: $i] :
( v1_membered(k4_xboole_0(X1,k4_xboole_0(X1,X0)))
| ~ v3_membered(X0) ),
inference(prop_impl_just,[status(thm)],[c_1492]) ).
tcf(c_7834,plain,
! [X0: $i,X1: $i] :
( v2_membered(k4_xboole_0(X1,k4_xboole_0(X1,X0)))
| ~ v3_membered(X0) ),
inference(prop_impl_just,[status(thm)],[c_1493]) ).
tcf(c_7836,plain,
! [X0: $i,X1: $i] :
( v3_membered(k4_xboole_0(X1,k4_xboole_0(X1,X0)))
| ~ v3_membered(X0) ),
inference(prop_impl_just,[status(thm)],[c_1494]) ).
tcf(c_7856,plain,
! [X0: $i,X1: $i] :
( v1_membered(k4_xboole_0(X1,k4_xboole_0(X1,X0)))
| ~ v4_membered(X0) ),
inference(prop_impl_just,[status(thm)],[c_1444]) ).
tcf(c_7858,plain,
! [X0: $i,X1: $i] :
( v2_membered(k4_xboole_0(X1,k4_xboole_0(X1,X0)))
| ~ v4_membered(X0) ),
inference(prop_impl_just,[status(thm)],[c_1445]) ).
tcf(c_7860,plain,
! [X0: $i,X1: $i] :
( v3_membered(k4_xboole_0(X1,k4_xboole_0(X1,X0)))
| ~ v4_membered(X0) ),
inference(prop_impl_just,[status(thm)],[c_1446]) ).
tcf(c_7862,plain,
! [X0: $i,X1: $i] :
( v4_membered(k4_xboole_0(X1,k4_xboole_0(X1,X0)))
| ~ v4_membered(X0) ),
inference(prop_impl_just,[status(thm)],[c_1447]) ).
tcf(c_7900,plain,
! [X0: $i] :
( v1_membered(k2_enumset1(X0,X0,X0,X0))
| ~ v1_int_1(X0) ),
inference(prop_impl_just,[status(thm)],[c_1468]) ).
tcf(c_7902,plain,
! [X0: $i] :
( v2_membered(k2_enumset1(X0,X0,X0,X0))
| ~ v1_int_1(X0) ),
inference(prop_impl_just,[status(thm)],[c_1469]) ).
tcf(c_7904,plain,
! [X0: $i] :
( v3_membered(k2_enumset1(X0,X0,X0,X0))
| ~ v1_int_1(X0) ),
inference(prop_impl_just,[status(thm)],[c_1470]) ).
tcf(c_7906,plain,
! [X0: $i] :
( v4_membered(k2_enumset1(X0,X0,X0,X0))
| ~ v1_int_1(X0) ),
inference(prop_impl_just,[status(thm)],[c_1471]) ).
tcf(c_7912,plain,
! [X0: $i] :
( v1_int_1(k2_xcmplx_0(X0,np__1))
| ~ v1_int_1(X0) ),
inference(prop_impl_just,[status(thm)],[c_2716,c_3550]) ).
tcf(c_7914,plain,
! [X0: $i] :
( v1_int_1(k6_xcmplx_0(X0,np__1))
| ~ v1_int_1(X0) ),
inference(prop_impl_just,[status(thm)],[c_2716,c_3551]) ).
tcf(c_7966,plain,
! [X0: $i] :
( v1_membered(k2_enumset1(X0,X0,X0,X0))
| ~ v1_xreal_0(X0) ),
inference(prop_impl_just,[status(thm)],[c_1548]) ).
tcf(c_7968,plain,
! [X0: $i] :
( v2_membered(k2_enumset1(X0,X0,X0,X0))
| ~ v1_xreal_0(X0) ),
inference(prop_impl_just,[status(thm)],[c_1549]) ).
tcf(c_7978,plain,
! [X0: $i] :
( v1_membered(k2_enumset1(X0,X0,X0,X0))
| ~ v1_xcmplx_0(X0) ),
inference(prop_impl_just,[status(thm)],[c_1585]) ).
tcf(c_8028,plain,
! [X0: $i] :
( ( k3_tarski(k2_tarski(X0,k2_enumset1(X0,X0,X0,X0))) = k1_nat_1(X0,np__1) )
| ~ m2_subset_1(X0,k1_numbers,k5_numbers) ),
inference(prop_impl_just,[status(thm)],[c_3756]) ).
tcf(c_8034,plain,
! [X0: $i] :
( ~ m1_subset_1(X0,sK268)
| ~ v1_xboole_0(k4_xboole_0(sK268,k2_enumset1(X0,X0,X0,X0))) ),
inference(prop_impl_just,[status(thm)],[c_1708]) ).
tcf(c_8040,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( k4_xboole_0(k2_enumset1(X0,X0,X0,X0),k2_enumset1(X1,X1,X1,X1)) != np__0 ) ),
inference(prop_impl_just,[status(thm)],[c_1727]) ).
tcf(c_8122,plain,
! [X0: $i,X1: $i] :
( ~ v1_xboole_0(k4_xboole_0(X0,k2_enumset1(X1,X1,X1,X1)))
| v1_realset1(X0) ),
inference(prop_impl_just,[status(thm)],[c_2002,c_1995]) ).
tcf(c_8123,plain,
! [X0: $i,X1: $i] :
( v1_realset1(X0)
| ~ v1_xboole_0(k4_xboole_0(X0,k2_enumset1(X1,X1,X1,X1))) ),
inference(renaming,[status(thm)],[c_8122]) ).
tcf(c_8160,plain,
! [X0: $i] :
( v1_funct_2(u1_rlvect_1(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ l1_rlvect_1(X0) ),
inference(prop_impl_just,[status(thm)],[c_3452]) ).
tcf(c_8162,plain,
! [X0: $i] :
( m2_relset_1(u1_rlvect_1(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ l1_rlvect_1(X0) ),
inference(prop_impl_just,[status(thm)],[c_3453]) ).
tcf(c_8164,plain,
! [X0: $i] :
( v1_funct_1(u1_rlvect_1(X0))
| ~ l1_rlvect_1(X0) ),
inference(prop_impl_just,[status(thm)],[c_3451]) ).
tcf(c_8166,plain,
! [X0: $i] :
( ~ sP32(X0)
| l1_rlvect_1(X0) ),
inference(prop_impl_just,[status(thm)],[c_3408]) ).
tcf(c_8167,plain,
! [X0: $i] :
( l1_rlvect_1(X0)
| ~ sP32(X0) ),
inference(renaming,[status(thm)],[c_8166]) ).
tcf(c_8168,plain,
! [X0: $i] :
( ~ sP32(X0)
| v3_rlvect_1(X0) ),
inference(prop_impl_just,[status(thm)],[c_3404]) ).
tcf(c_8169,plain,
! [X0: $i] :
( v3_rlvect_1(X0)
| ~ sP32(X0) ),
inference(renaming,[status(thm)],[c_8168]) ).
tcf(c_8170,plain,
! [X0: $i] :
( ~ sP32(X0)
| v4_rlvect_1(X0) ),
inference(prop_impl_just,[status(thm)],[c_3405]) ).
tcf(c_8171,plain,
! [X0: $i] :
( v4_rlvect_1(X0)
| ~ sP32(X0) ),
inference(renaming,[status(thm)],[c_8170]) ).
tcf(c_8172,plain,
! [X0: $i,X1: $i] :
( ( k4_xboole_0(k3_tarski(X0),k4_xboole_0(k3_tarski(X0),k3_tarski(X1))) = k3_tarski(k4_xboole_0(X0,k4_xboole_0(X0,X1))) )
| ( sK388(X0,X1) != sK389(X0,X1) ) ),
inference(prop_impl_just,[status(thm)],[c_2422]) ).
tcf(c_8174,plain,
! [X0: $i,X1: $i] :
( ( k4_xboole_0(k3_tarski(X0),k4_xboole_0(k3_tarski(X0),k3_tarski(X1))) = k3_tarski(k4_xboole_0(X0,k4_xboole_0(X0,X1))) )
| ~ r1_xboole_0(sK388(X0,X1),sK389(X0,X1)) ),
inference(prop_impl_just,[status(thm)],[c_2423]) ).
tcf(c_8190,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r1_tarski(X0,k5_xboole_0(X1,X2))
| r1_xboole_0(X0,k4_xboole_0(X1,k4_xboole_0(X1,X2))) ),
inference(prop_impl_just,[status(thm)],[c_2602]) ).
tcf(c_8191,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_xboole_0(X0,k4_xboole_0(X1,k4_xboole_0(X1,X2)))
| ~ r1_tarski(X0,k5_xboole_0(X1,X2)) ),
inference(renaming,[status(thm)],[c_8190]) ).
tcf(c_8204,plain,
! [X0: $i] :
( ( k3_tarski(k3_tarski(k2_tarski(X0,k2_enumset1(X0,X0,X0,X0)))) = X0 )
| ~ v3_ordinal1(X0) ),
inference(prop_impl_just,[status(thm)],[c_2501]) ).
tcf(c_8208,plain,
! [X0: $i] :
( ( k4_xboole_0(k3_tarski(k2_tarski(X0,k2_enumset1(X0,X0,X0,X0))),k2_enumset1(X0,X0,X0,X0)) = X0 )
| ~ v3_ordinal1(X0) ),
inference(prop_impl_just,[status(thm)],[c_3513]) ).
tcf(c_8210,plain,
! [X0: $i] :
( r1_tarski(k3_tarski(k2_tarski(X0,k2_enumset1(X0,X0,X0,X0))),k1_zfmisc_1(X0))
| ~ v3_ordinal1(X0) ),
inference(prop_impl_just,[status(thm)],[c_3514]) ).
tcf(c_8212,plain,
! [X0: $i] :
( v3_ordinal1(k3_tarski(k2_tarski(X0,k2_enumset1(X0,X0,X0,X0))))
| ~ v3_ordinal1(X0) ),
inference(prop_impl_just,[status(thm)],[c_3522]) ).
tcf(c_8214,plain,
! [X0: $i] :
( ~ v4_ordinal1(k3_tarski(k2_tarski(X0,k2_enumset1(X0,X0,X0,X0))))
| ~ v3_ordinal1(X0) ),
inference(prop_impl_just,[status(thm)],[c_6399]) ).
tcf(c_8215,plain,
! [X0: $i] :
( ~ v3_ordinal1(X0)
| ~ v4_ordinal1(k3_tarski(k2_tarski(X0,k2_enumset1(X0,X0,X0,X0)))) ),
inference(renaming,[status(thm)],[c_8214]) ).
tcf(c_8262,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X2 )
| ~ r1_tarski(k2_tarski(X0,X1),k2_enumset1(X2,X2,X2,X2)) ),
inference(prop_impl_just,[status(thm)],[c_2695]) ).
tcf(c_8264,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k2_enumset1(X2,X2,X2,X2) = k2_tarski(X0,X1) )
| ~ r1_tarski(k2_tarski(X0,X1),k2_enumset1(X2,X2,X2,X2)) ),
inference(prop_impl_just,[status(thm)],[c_2694]) ).
tcf(c_8266,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X2 )
| ( k2_enumset1(X0,X0,X0,X0) != k2_tarski(X1,X2) ) ),
inference(prop_impl_just,[status(thm)],[c_2703]) ).
tcf(c_8268,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X1 )
| ( k2_enumset1(X0,X0,X0,X0) != k2_tarski(X1,X2) ) ),
inference(prop_impl_just,[status(thm)],[c_2704]) ).
tcf(c_8304,plain,
! [X0: $i,X1: $i] :
( ( k2_enumset1(sK426(X1),sK426(X1),sK426(X1),sK426(X1)) = X1 )
| ( k1_card_1(k2_enumset1(X0,X0,X0,X0)) != k1_card_1(X1) ) ),
inference(prop_impl_just,[status(thm)],[c_2811]) ).
tcf(c_8326,plain,
! [X0: $i,X1: $i] :
( sP29(X1,X0,k8_relat_1(X0,X1))
| ~ sP30(k8_relat_1(X0,X1),X0,X1) ),
inference(prop_impl_just,[status(thm)],[c_3277]) ).
tcf(c_8336,plain,
! [X0: $i] :
( ~ sP32(X0)
| v5_rlvect_1(X0) ),
inference(prop_impl_just,[status(thm)],[c_3406]) ).
tcf(c_8337,plain,
! [X0: $i] :
( v5_rlvect_1(X0)
| ~ sP32(X0) ),
inference(renaming,[status(thm)],[c_8336]) ).
tcf(c_8338,plain,
! [X0: $i] :
( ~ sP32(X0)
| v6_rlvect_1(X0) ),
inference(prop_impl_just,[status(thm)],[c_3407]) ).
tcf(c_8339,plain,
! [X0: $i] :
( v6_rlvect_1(X0)
| ~ sP32(X0) ),
inference(renaming,[status(thm)],[c_8338]) ).
tcf(c_8352,plain,
! [X0: $i] :
( sP31(X0)
| ~ sP32(X0) ),
inference(prop_impl_just,[status(thm)],[c_6155]) ).
tcf(c_8372,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( k3_tarski(k2_tarski(X0,k2_enumset1(X0,X0,X0,X0))) != k3_tarski(k2_tarski(X1,k2_enumset1(X1,X1,X1,X1))) ) ),
inference(prop_impl_just,[status(thm)],[c_3527]) ).
tcf(c_8392,plain,
! [X0: $i,X1: $i] :
( ( k2_enumset1(sK562(X0),sK562(X0),sK562(X0),sK562(X0)) = X0 )
| ~ r2_wellord2(X0,k2_enumset1(X1,X1,X1,X1)) ),
inference(prop_impl_just,[status(thm)],[c_3687]) ).
tcf(c_8414,plain,
! [X0: $i,X1: $i] :
( sP34(X1,k9_rlvect_1(X1,X0),X0)
| ~ sP35(X0,k9_rlvect_1(X1,X0),X1) ),
inference(prop_impl_just,[status(thm)],[c_3710]) ).
tcf(c_9108,plain,
! [X0: $i,X1: $i] :
( ( k4_xboole_0(k2_enumset1(X0,X0,X0,X0),k2_enumset1(X1,X1,X1,X1)) = k2_enumset1(X0,X0,X0,X0) )
| ( X0 = X1 ) ),
inference(prop_impl_just,[status(thm)],[c_1728]) ).
tcf(c_9109,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( k4_xboole_0(k2_enumset1(X0,X0,X0,X0),k2_enumset1(X1,X1,X1,X1)) = k2_enumset1(X0,X0,X0,X0) ) ),
inference(renaming,[status(thm)],[c_9108]) ).
tcf(c_9112,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_xboole_0(k2_zfmisc_1(k2_enumset1(X0,X0,X0,X0),X2),k2_zfmisc_1(k2_enumset1(X1,X1,X1,X1),X3))
| ( X0 = X1 ) ),
inference(prop_impl_just,[status(thm)],[c_2418]) ).
tcf(c_9114,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_xboole_0(k2_zfmisc_1(X2,k2_enumset1(X0,X0,X0,X0)),k2_zfmisc_1(X3,k2_enumset1(X1,X1,X1,X1)))
| ( X0 = X1 ) ),
inference(prop_impl_just,[status(thm)],[c_2419]) ).
tcf(c_9116,plain,
! [X0: $i,X1: $i] :
( r1_xboole_0(k2_enumset1(X0,X0,X0,X0),k2_enumset1(X1,X1,X1,X1))
| ( X0 = X1 ) ),
inference(prop_impl_just,[status(thm)],[c_2433]) ).
tcf(c_9118,plain,
! [X0: $i,X1: $i] :
( ( k5_xboole_0(k2_enumset1(X0,X0,X0,X0),k2_enumset1(X1,X1,X1,X1)) = k2_tarski(X0,X1) )
| ( X0 = X1 ) ),
inference(prop_impl_just,[status(thm)],[c_2597]) ).
tcf(c_9119,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( k5_xboole_0(k2_enumset1(X0,X0,X0,X0),k2_enumset1(X1,X1,X1,X1)) = k2_tarski(X0,X1) ) ),
inference(renaming,[status(thm)],[c_9118]) ).
tcf(c_9120,plain,
! [X0: $i,X1: $i] :
( ( k4_xboole_0(k2_tarski(X0,X1),k2_enumset1(X1,X1,X1,X1)) = k2_enumset1(X0,X0,X0,X0) )
| ( X0 = X1 ) ),
inference(prop_impl_just,[status(thm)],[c_2697]) ).
tcf(c_9121,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( k4_xboole_0(k2_tarski(X0,X1),k2_enumset1(X1,X1,X1,X1)) = k2_enumset1(X0,X0,X0,X0) ) ),
inference(renaming,[status(thm)],[c_9120]) ).
tcf(c_9172,plain,
! [X0: $i,X1: $i] :
( ( k2_enumset1(X0,X0,X0,X0) = k2_relat_1(sK46(X1,X0)) )
| ( X1 = np__0 ) ),
inference(prop_impl_just,[status(thm)],[c_103]) ).
tcf(c_9173,plain,
! [X0: $i,X1: $i] :
( ( X1 = np__0 )
| ( k2_enumset1(X0,X0,X0,X0) = k2_relat_1(sK46(X1,X0)) ) ),
inference(renaming,[status(thm)],[c_9172]) ).
tcf(c_9510,plain,
! [X0: $i,X1: $i] :
( r2_hidden(sK388(X0,X1),k3_tarski(k2_tarski(X0,X1)))
| ( k4_xboole_0(k3_tarski(X0),k4_xboole_0(k3_tarski(X0),k3_tarski(X1))) = k3_tarski(k4_xboole_0(X0,k4_xboole_0(X0,X1))) ) ),
inference(prop_impl_just,[status(thm)],[c_2424]) ).
tcf(c_9512,plain,
! [X0: $i,X1: $i] :
( r2_hidden(sK389(X0,X1),k3_tarski(k2_tarski(X0,X1)))
| ( k4_xboole_0(k3_tarski(X0),k4_xboole_0(k3_tarski(X0),k3_tarski(X1))) = k3_tarski(k4_xboole_0(X0,k4_xboole_0(X0,X1))) ) ),
inference(prop_impl_just,[status(thm)],[c_2425]) ).
tcf(c_14151,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( r1_tarski(k3_tarski(k2_tarski(X3,X0)),k2_zfmisc_1(k3_tarski(k2_tarski(X4,X1)),k3_tarski(k2_tarski(X5,X2))))
| ~ m1_relset_1(X3,X4,X5)
| ~ r1_tarski(X0,k2_zfmisc_1(X1,X2)) ),
inference(bin_hyper_res,[status(thm)],[c_465,c_6568]) ).
tcf(c_14152,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v1_funct_2(X0,X1,X3)
| ( X2 = np__0 )
| ~ v1_funct_1(X0)
| ~ r1_tarski(X2,X3)
| ~ m1_relset_1(X0,X1,X2)
| ~ v1_funct_2(X0,X1,X2) ),
inference(bin_hyper_res,[status(thm)],[c_526,c_6576]) ).
tcf(c_14153,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( m2_relset_1(X0,X3,X4)
| ~ r1_tarski(X2,X4)
| ~ r1_tarski(X1,X3)
| ~ m1_relset_1(X0,X1,X2) ),
inference(bin_hyper_res,[status(thm)],[c_6369,c_6576]) ).
tcf(c_14154,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( m2_relset_1(X0,X1,X3)
| ~ r1_tarski(X2,X3)
| ~ m1_relset_1(X0,X1,X2) ),
inference(bin_hyper_res,[status(thm)],[c_6422,c_6576]) ).
tcf(c_14155,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( m2_relset_1(X0,X3,X2)
| ~ r1_tarski(X1,X3)
| ~ m1_relset_1(X0,X1,X2) ),
inference(bin_hyper_res,[status(thm)],[c_6291,c_6576]) ).
tcf(c_14156,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( m2_relset_1(X3,X1,X2)
| ~ r1_tarski(X3,X0)
| ~ m1_relset_1(X0,X1,X2) ),
inference(bin_hyper_res,[status(thm)],[c_6396,c_6576]) ).
tcf(c_14157,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(X2,X0)
| m1_subset_1(sK79(X2,X0),X2)
| ~ r1_tarski(X2,X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(X1)) ),
inference(bin_hyper_res,[status(thm)],[c_543,c_6580]) ).
tcf(c_14158,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(X2,X0)
| r2_hidden(sK80(X1,X2,X0),X2)
| ~ r1_tarski(X2,X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(X1)) ),
inference(bin_hyper_res,[status(thm)],[c_545,c_6580]) ).
tcf(c_14159,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(X2,X0)
| m1_subset_1(sK80(X1,X2,X0),X1)
| ~ r1_tarski(X2,X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(X1)) ),
inference(bin_hyper_res,[status(thm)],[c_546,c_6580]) ).
tcf(c_14160,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ v1_xboole_0(X1)
| ~ r2_hidden(X2,X0)
| ~ r1_tarski(X0,X1) ),
inference(bin_hyper_res,[status(thm)],[c_585,c_6580]) ).
tcf(c_14161,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( m1_subset_1(sK101(X1,X0,X3),X1)
| ( X0 = X3 )
| ~ v1_funct_1(X3)
| ~ v1_funct_1(X0)
| ~ m1_relset_1(X0,X1,X2)
| ~ m2_relset_1(X3,X1,X2)
| ~ v1_funct_2(X3,X1,X2)
| ~ v1_funct_2(X0,X1,X2) ),
inference(bin_hyper_res,[status(thm)],[c_644,c_6576]) ).
tcf(c_14162,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r2_hidden(sK102(X1,X0,X3),X1)
| ( X0 = X3 )
| ~ v1_funct_1(X3)
| ~ v1_funct_1(X0)
| ~ m1_relset_1(X0,X1,X2)
| ~ m2_relset_1(X3,X1,X2)
| ~ v1_funct_2(X3,X1,X2)
| ~ v1_funct_2(X0,X1,X2) ),
inference(bin_hyper_res,[status(thm)],[c_646,c_6576]) ).
tcf(c_14163,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(sK104(X1,X2,X0),X2)
| ( X2 = np__0 )
| ( k2_relat_1(X0) = X2 )
| ~ v1_funct_1(X0)
| ~ m1_relset_1(X0,X1,X2)
| ~ v1_funct_2(X0,X1,X2) ),
inference(bin_hyper_res,[status(thm)],[c_649,c_6576]) ).
tcf(c_14164,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r2_hidden(k1_funct_1(X0,X3),X2)
| ( X2 = np__0 )
| ~ v1_funct_1(X0)
| ~ r2_hidden(X3,X1)
| ~ m1_relset_1(X0,X1,X2)
| ~ v1_funct_2(X0,X1,X2) ),
inference(bin_hyper_res,[status(thm)],[c_651,c_6576]) ).
tcf(c_14165,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r2_hidden(k1_funct_1(X0,X3),k2_relat_1(X0))
| ( X2 = np__0 )
| ~ v1_funct_1(X0)
| ~ r2_hidden(X3,X1)
| ~ m1_relset_1(X0,X1,X2)
| ~ v1_funct_2(X0,X1,X2) ),
inference(bin_hyper_res,[status(thm)],[c_652,c_6576]) ).
tcf(c_14166,plain,
! [X0: $i,X1: $i,X2: $i] :
( m1_relset_1(X0,X1,X2)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0)
| ( k1_relat_1(X0) != np__0 ) ),
inference(bin_hyper_res,[status(thm)],[c_683,c_6575]) ).
tcf(c_14167,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = np__0 )
| ~ m2_relset_1(X0,X1,np__0)
| ~ m1_relset_1(X0,X1,X2) ),
inference(bin_hyper_res,[status(thm)],[c_684,c_6576]) ).
tcf(c_14168,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = np__0 )
| ~ m2_relset_1(X0,np__0,X2)
| ~ m1_relset_1(X0,X1,X2) ),
inference(bin_hyper_res,[status(thm)],[c_685,c_6576]) ).
tcf(c_14169,plain,
! [X0: $i,X1: $i] :
( r2_hidden(sK113(X1,X0),X0)
| ( X0 = np__0 )
| ~ r1_tarski(X0,X1) ),
inference(bin_hyper_res,[status(thm)],[c_694,c_6580]) ).
tcf(c_14170,plain,
! [X0: $i,X1: $i] :
( m1_subset_1(sK113(X1,X0),X1)
| ( X0 = np__0 )
| ~ r1_tarski(X0,X1) ),
inference(bin_hyper_res,[status(thm)],[c_695,c_6580]) ).
tcf(c_14171,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v1_funct_2(X0,X1,X3)
| ( X2 = np__0 )
| ~ v1_funct_1(X0)
| ~ r1_tarski(k2_relat_1(X0),X3)
| ~ m1_relset_1(X0,X1,X2)
| ~ v1_funct_2(X0,X1,X2) ),
inference(bin_hyper_res,[status(thm)],[c_699,c_6576]) ).
tcf(c_14172,plain,
! [X0: $i,X1: $i,X2: $i] :
( m1_relset_1(X0,X1,X2)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0)
| ( k2_relat_1(X0) != np__0 ) ),
inference(bin_hyper_res,[status(thm)],[c_707,c_6575]) ).
tcf(c_14173,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( m2_relset_1(X0,X1,X3)
| ~ r1_tarski(k2_relat_1(X0),X3)
| ~ m1_relset_1(X0,X1,X2) ),
inference(bin_hyper_res,[status(thm)],[c_6428,c_6576]) ).
tcf(c_14174,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( m2_relset_1(X0,X3,X2)
| ~ r1_tarski(k1_relat_1(X0),X3)
| ~ m1_relset_1(X0,X1,X2) ),
inference(bin_hyper_res,[status(thm)],[c_749,c_6576]) ).
tcf(c_14175,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( k2_tarski(k2_tarski(sK122(X1,X2,X3),sK123(X1,X2,X3)),k2_enumset1(sK122(X1,X2,X3),sK122(X1,X2,X3),sK122(X1,X2,X3),sK122(X1,X2,X3))) = X3 )
| ~ r2_hidden(X3,X0)
| ~ m1_relset_1(X0,X1,X2) ),
inference(bin_hyper_res,[status(thm)],[c_753,c_6568]) ).
tcf(c_14176,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( m1_subset_1(sK123(X1,X2,X3),X2)
| ~ r2_hidden(X3,X0)
| ~ m1_relset_1(X0,X1,X2) ),
inference(bin_hyper_res,[status(thm)],[c_754,c_6568]) ).
tcf(c_14177,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( m1_subset_1(sK122(X1,X2,X3),X1)
| ~ r2_hidden(X3,X0)
| ~ m1_relset_1(X0,X1,X2) ),
inference(bin_hyper_res,[status(thm)],[c_755,c_6568]) ).
tcf(c_14178,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( k2_tarski(k2_tarski(sK128(X1,X2,X3),sK129(X1,X2,X3)),k2_enumset1(sK128(X1,X2,X3),sK128(X1,X2,X3),sK128(X1,X2,X3),sK128(X1,X2,X3))) = X3 )
| ~ r2_hidden(X3,X0)
| ~ m1_relset_1(X0,X1,X2) ),
inference(bin_hyper_res,[status(thm)],[c_761,c_6576]) ).
tcf(c_14179,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r2_hidden(sK128(X1,X2,X3),X1)
| ~ r2_hidden(X3,X0)
| ~ m1_relset_1(X0,X1,X2) ),
inference(bin_hyper_res,[status(thm)],[c_762,c_6576]) ).
tcf(c_14180,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r2_hidden(sK129(X1,X2,X3),X2)
| ~ r2_hidden(X3,X0)
| ~ m1_relset_1(X0,X1,X2) ),
inference(bin_hyper_res,[status(thm)],[c_763,c_6576]) ).
tcf(c_14181,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( r2_hidden(k2_tarski(k2_tarski(sK156(X3,X0),sK157(X3,X0)),k2_enumset1(sK156(X3,X0),sK156(X3,X0),sK156(X3,X0),sK156(X3,X0))),X3)
| r2_hidden(k2_tarski(k2_tarski(sK156(X3,X0),sK157(X3,X0)),k2_enumset1(sK156(X3,X0),sK156(X3,X0),sK156(X3,X0),sK156(X3,X0))),X0)
| ( X3 = X0 )
| ~ m1_relset_1(X3,X4,X5)
| ~ r1_tarski(X0,k2_zfmisc_1(X1,X2)) ),
inference(bin_hyper_res,[status(thm)],[c_803,c_6568]) ).
tcf(c_14182,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_tarski(X0,X3)
| r2_hidden(k2_tarski(k2_tarski(sK158(X0,X3),sK159(X0,X3)),k2_enumset1(sK158(X0,X3),sK158(X0,X3),sK158(X0,X3),sK158(X0,X3))),X0)
| ~ m1_relset_1(X0,X1,X2) ),
inference(bin_hyper_res,[status(thm)],[c_805,c_6568]) ).
tcf(c_14183,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r2_hidden(sK162(X1,X2,X3),X1)
| ~ r2_hidden(X3,X0)
| ~ m1_relset_1(X0,X1,X2) ),
inference(bin_hyper_res,[status(thm)],[c_812,c_6568]) ).
tcf(c_14184,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r2_hidden(sK163(X1,X2,X3),X2)
| ~ r2_hidden(X3,X0)
| ~ m1_relset_1(X0,X1,X2) ),
inference(bin_hyper_res,[status(thm)],[c_813,c_6568]) ).
tcf(c_14185,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( k2_tarski(k2_tarski(sK162(X1,X2,X3),sK163(X1,X2,X3)),k2_enumset1(sK162(X1,X2,X3),sK162(X1,X2,X3),sK162(X1,X2,X3),sK162(X1,X2,X3))) = X3 )
| ~ r2_hidden(X3,X0)
| ~ m1_relset_1(X0,X1,X2) ),
inference(bin_hyper_res,[status(thm)],[c_814,c_6568]) ).
tcf(c_14186,plain,
! [X0: $i,X1: $i,X2: $i] :
( m1_subset_1(X2,X1)
| ~ r2_hidden(X2,X0)
| ~ r1_tarski(X0,X1) ),
inference(bin_hyper_res,[status(thm)],[c_827,c_6580]) ).
tcf(c_14187,plain,
! [X0: $i,X1: $i] :
( m1_subset_1(sK172(X1,X0),X1)
| ( X0 = X1 )
| ~ r1_tarski(X0,X1) ),
inference(bin_hyper_res,[status(thm)],[c_832,c_6580]) ).
tcf(c_14188,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(sK173(X1,X2,X0),X2)
| r2_hidden(sK173(X1,X2,X0),X0)
| ( X2 = X0 )
| ~ r1_tarski(X2,X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(X1)) ),
inference(bin_hyper_res,[status(thm)],[c_834,c_6580]) ).
tcf(c_14189,plain,
! [X0: $i,X1: $i,X2: $i] :
( m1_subset_1(sK173(X1,X2,X0),X1)
| ( X2 = X0 )
| ~ r1_tarski(X2,X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(X1)) ),
inference(bin_hyper_res,[status(thm)],[c_835,c_6580]) ).
tcf(c_14190,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_partfun1(X0,X1,X2)
| ( X2 = np__0 )
| ~ v1_funct_1(X0)
| ~ m1_relset_1(X0,X1,X2)
| ~ v1_funct_2(X0,X1,X2) ),
inference(bin_hyper_res,[status(thm)],[c_1151,c_6576]) ).
tcf(c_14192,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_xboole_0(X2)
| v1_xboole_0(X1)
| m2_subset_1(X0,X2,X1)
| ~ r1_tarski(X1,X2)
| ~ m1_subset_1(X0,X1) ),
inference(bin_hyper_res,[status(thm)],[c_1190,c_6580]) ).
tcf(c_14193,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(X1)
| v1_xboole_0(X0)
| m2_subset_1(sK204(X1,X0),X1,X0)
| ~ r1_tarski(X0,X1) ),
inference(bin_hyper_res,[status(thm)],[c_1192,c_6580]) ).
tcf(c_14194,plain,
! [X0: $i,X1: $i,X2: $i] :
( m1_subset_1(sK220(X1,X2,X0),X1)
| ( k3_subset_1(X1,X0) = X2 )
| ~ r1_tarski(X2,X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(X1)) ),
inference(bin_hyper_res,[status(thm)],[c_1297,c_6580]) ).
tcf(c_14195,plain,
! [X0: $i,X1: $i,X2: $i] :
( m1_subset_1(sK221(X1,X2,X0),X1)
| ( k3_subset_1(X1,X0) = X2 )
| ~ r1_tarski(X2,X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(X1)) ),
inference(bin_hyper_res,[status(thm)],[c_1300,c_6580]) ).
tcf(c_14196,plain,
! [X0: $i,X1: $i,X2: $i] :
( m1_subset_1(sK222(X1,X2,X0),X1)
| ( k3_subset_1(X1,X0) = X2 )
| ~ r1_tarski(X2,X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(X1)) ),
inference(bin_hyper_res,[status(thm)],[c_1303,c_6580]) ).
tcf(c_14197,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(X0,X2)
| r2_hidden(X0,k3_subset_1(X1,X2))
| ( X1 = np__0 )
| ~ r1_tarski(X2,X1)
| ~ m1_subset_1(X0,X1) ),
inference(bin_hyper_res,[status(thm)],[c_1304,c_6580]) ).
tcf(c_14198,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_tarski(X3,k3_subset_1(X1,X2))
| ~ r1_xboole_0(X2,X0)
| ~ r1_tarski(X3,X1)
| ~ r1_tarski(X3,X0)
| ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| ~ m1_subset_1(X0,k1_zfmisc_1(X1)) ),
inference(bin_hyper_res,[status(thm)],[c_1305,c_6580]) ).
tcf(c_14199,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_xboole_0(X2,k3_subset_1(X1,X0))
| ~ r1_tarski(X2,X1)
| ~ r1_tarski(X2,X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(X1)) ),
inference(bin_hyper_res,[status(thm)],[c_1307,c_6580]) ).
tcf(c_14200,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(X0,X2)
| ~ r1_tarski(X0,X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| ~ r1_xboole_0(X0,k3_subset_1(X1,X2)) ),
inference(bin_hyper_res,[status(thm)],[c_1308,c_6580]) ).
tcf(c_14201,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_xboole_0(X0,X2)
| ~ r1_tarski(X0,X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| ~ r1_tarski(X0,k3_subset_1(X1,X2)) ),
inference(bin_hyper_res,[status(thm)],[c_1309,c_6580]) ).
tcf(c_14202,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(X2,k3_subset_1(X1,X0))
| ~ r1_xboole_0(X2,X0)
| ~ r1_tarski(X2,X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(X1)) ),
inference(bin_hyper_res,[status(thm)],[c_1310,c_6580]) ).
tcf(c_14203,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k3_subset_1(X1,k4_subset_1(X1,X2,X0)),k3_subset_1(X1,X2))
| ~ r1_tarski(X2,X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(X1)) ),
inference(bin_hyper_res,[status(thm)],[c_1311,c_6580]) ).
tcf(c_14204,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(X2,k3_subset_1(X1,X0))
| ~ r1_tarski(X0,X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| ~ r1_tarski(X0,k3_subset_1(X1,X2)) ),
inference(bin_hyper_res,[status(thm)],[c_1314,c_6580]) ).
tcf(c_14205,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k3_subset_1(X1,X0),k3_subset_1(X1,X2))
| ~ r1_tarski(X2,X1)
| ~ r1_tarski(X2,X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(X1)) ),
inference(bin_hyper_res,[status(thm)],[c_1316,c_6580]) ).
tcf(c_14206,plain,
! [X0: $i,X1: $i] :
( v1_membered(X0)
| ~ v5_membered(X1)
| ~ r1_tarski(X0,X1) ),
inference(bin_hyper_res,[status(thm)],[c_1369,c_6580]) ).
tcf(c_14207,plain,
! [X0: $i,X1: $i] :
( v2_membered(X0)
| ~ v5_membered(X1)
| ~ r1_tarski(X0,X1) ),
inference(bin_hyper_res,[status(thm)],[c_1370,c_6580]) ).
tcf(c_14208,plain,
! [X0: $i,X1: $i] :
( v3_membered(X0)
| ~ v5_membered(X1)
| ~ r1_tarski(X0,X1) ),
inference(bin_hyper_res,[status(thm)],[c_1371,c_6580]) ).
tcf(c_14209,plain,
! [X0: $i,X1: $i] :
( v4_membered(X0)
| ~ v5_membered(X1)
| ~ r1_tarski(X0,X1) ),
inference(bin_hyper_res,[status(thm)],[c_1372,c_6580]) ).
tcf(c_14211,plain,
! [X0: $i,X1: $i] :
( v1_membered(X0)
| ~ v4_membered(X1)
| ~ r1_tarski(X0,X1) ),
inference(bin_hyper_res,[status(thm)],[c_1456,c_6580]) ).
tcf(c_14212,plain,
! [X0: $i,X1: $i] :
( v2_membered(X0)
| ~ v4_membered(X1)
| ~ r1_tarski(X0,X1) ),
inference(bin_hyper_res,[status(thm)],[c_1457,c_6580]) ).
tcf(c_14213,plain,
! [X0: $i,X1: $i] :
( v3_membered(X0)
| ~ v4_membered(X1)
| ~ r1_tarski(X0,X1) ),
inference(bin_hyper_res,[status(thm)],[c_1458,c_6580]) ).
tcf(c_14215,plain,
! [X0: $i,X1: $i] :
( v1_membered(X0)
| ~ v3_membered(X1)
| ~ r1_tarski(X0,X1) ),
inference(bin_hyper_res,[status(thm)],[c_1501,c_6580]) ).
tcf(c_14216,plain,
! [X0: $i,X1: $i] :
( v2_membered(X0)
| ~ v3_membered(X1)
| ~ r1_tarski(X0,X1) ),
inference(bin_hyper_res,[status(thm)],[c_1502,c_6580]) ).
tcf(c_14218,plain,
! [X0: $i,X1: $i] :
( v1_membered(X0)
| ~ v2_membered(X1)
| ~ r1_tarski(X0,X1) ),
inference(bin_hyper_res,[status(thm)],[c_1544,c_6580]) ).
tcf(c_14221,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k4_subset_1(X1,X2,X0) = k3_tarski(k2_tarski(X2,X0)) )
| ~ r1_tarski(X2,X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(X1)) ),
inference(bin_hyper_res,[status(thm)],[c_1602,c_6580]) ).
tcf(c_14222,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k4_subset_1(X1,X2,X2) = X2 )
| ~ r1_tarski(X2,X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(X1)) ),
inference(bin_hyper_res,[status(thm)],[c_1603,c_6580]) ).
tcf(c_14223,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k4_subset_1(X1,X2,X0) = k4_subset_1(X1,X0,X2) )
| ~ r1_tarski(X2,X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(X1)) ),
inference(bin_hyper_res,[status(thm)],[c_1604,c_6580]) ).
tcf(c_14224,plain,
! [X0: $i,X1: $i,X2: $i] :
( m1_subset_1(k4_subset_1(X1,X2,X0),k1_zfmisc_1(X1))
| ~ r1_tarski(X2,X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(X1)) ),
inference(bin_hyper_res,[status(thm)],[c_1605,c_6580]) ).
tcf(c_14225,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k4_subset_1(X1,k3_subset_1(X1,X2),k3_subset_1(X1,X0)) = k3_subset_1(X1,k5_subset_1(X1,X2,X0)) )
| ~ r1_tarski(X2,X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(X1)) ),
inference(bin_hyper_res,[status(thm)],[c_1606,c_6580]) ).
tcf(c_14226,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k5_subset_1(X1,k3_subset_1(X1,X2),k3_subset_1(X1,X0)) = k3_subset_1(X1,k4_subset_1(X1,X2,X0)) )
| ~ r1_tarski(X2,X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(X1)) ),
inference(bin_hyper_res,[status(thm)],[c_1607,c_6580]) ).
tcf(c_14227,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r2_hidden(sK252(X1,X3,X0,X2),X3)
| r2_hidden(sK252(X1,X3,X0,X2),X2)
| r2_hidden(sK252(X1,X3,X0,X2),X0)
| ( k4_subset_1(X1,X0,X2) = X3 )
| ~ r1_tarski(X3,X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| ~ m1_subset_1(X0,k1_zfmisc_1(X1)) ),
inference(bin_hyper_res,[status(thm)],[c_1610,c_6580]) ).
tcf(c_14228,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( m1_subset_1(sK252(X1,X3,X0,X2),X1)
| ( k4_subset_1(X1,X0,X2) = X3 )
| ~ r1_tarski(X3,X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| ~ m1_subset_1(X0,k1_zfmisc_1(X1)) ),
inference(bin_hyper_res,[status(thm)],[c_1611,c_6580]) ).
tcf(c_14229,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( k4_xboole_0(k3_tarski(X2),k4_xboole_0(k3_tarski(X2),k3_tarski(X0))) = k3_tarski(k5_subset_1(X1,X2,X0)) )
| ~ m1_eqrel_1(X1,X3)
| ~ r1_tarski(X2,X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(X1)) ),
inference(bin_hyper_res,[status(thm)],[c_1617,c_6580]) ).
tcf(c_14230,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k4_xboole_0(X2,k4_xboole_0(X2,X0)) = k5_subset_1(X1,X2,X0) )
| ~ r1_tarski(X2,X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(X1)) ),
inference(bin_hyper_res,[status(thm)],[c_1623,c_6580]) ).
tcf(c_14231,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k5_subset_1(X1,X2,X2) = X2 )
| ~ r1_tarski(X2,X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(X1)) ),
inference(bin_hyper_res,[status(thm)],[c_1624,c_6580]) ).
tcf(c_14232,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k5_subset_1(X1,X2,X0) = k5_subset_1(X1,X0,X2) )
| ~ r1_tarski(X2,X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(X1)) ),
inference(bin_hyper_res,[status(thm)],[c_1625,c_6580]) ).
tcf(c_14233,plain,
! [X0: $i,X1: $i,X2: $i] :
( m1_subset_1(k5_subset_1(X1,X2,X0),k1_zfmisc_1(X1))
| ~ r1_tarski(X2,X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(X1)) ),
inference(bin_hyper_res,[status(thm)],[c_1626,c_6580]) ).
tcf(c_14234,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k3_subset_1(X1,X2),k3_subset_1(X1,k5_subset_1(X1,X2,X0)))
| ~ r1_tarski(X2,X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(X1)) ),
inference(bin_hyper_res,[status(thm)],[c_1627,c_6580]) ).
tcf(c_14235,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k5_subset_1(X1,X2,k3_subset_1(X1,X0)) = k6_subset_1(X1,X2,X0) )
| ~ r1_tarski(X2,X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(X1)) ),
inference(bin_hyper_res,[status(thm)],[c_1628,c_6580]) ).
tcf(c_14236,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r2_hidden(sK254(X1,X3,X0,X2),X3)
| r2_hidden(sK254(X1,X3,X0,X2),X0)
| ( k5_subset_1(X1,X0,X2) = X3 )
| ~ r1_tarski(X3,X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| ~ m1_subset_1(X0,k1_zfmisc_1(X1)) ),
inference(bin_hyper_res,[status(thm)],[c_1630,c_6580]) ).
tcf(c_14237,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r2_hidden(sK254(X1,X3,X0,X2),X3)
| r2_hidden(sK254(X1,X3,X0,X2),X2)
| ( k5_subset_1(X1,X0,X2) = X3 )
| ~ r1_tarski(X3,X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| ~ m1_subset_1(X0,k1_zfmisc_1(X1)) ),
inference(bin_hyper_res,[status(thm)],[c_1631,c_6580]) ).
tcf(c_14238,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( m1_subset_1(sK254(X1,X3,X0,X2),X1)
| ( k5_subset_1(X1,X0,X2) = X3 )
| ~ r1_tarski(X3,X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| ~ m1_subset_1(X0,k1_zfmisc_1(X1)) ),
inference(bin_hyper_res,[status(thm)],[c_1632,c_6580]) ).
tcf(c_14239,plain,
! [X0: $i,X1: $i] :
( m1_subset_1(X0,k5_finsub_1(X1))
| ~ v1_finset_1(X1)
| ~ r1_tarski(X0,X1) ),
inference(bin_hyper_res,[status(thm)],[c_1648,c_6580]) ).
tcf(c_14240,plain,
! [X0: $i,X1: $i] :
( v1_finset_1(X1)
| ~ r2_wellord2(X1,X0)
| ~ m2_subset_1(X0,k1_numbers,k5_numbers) ),
inference(bin_hyper_res,[status(thm)],[c_1657,c_6588]) ).
tcf(c_14242,plain,
! [X0: $i,X1: $i] :
( v1_realset1(X0)
| r2_hidden(sK313(X1,X0),X0)
| ~ r1_tarski(X0,X1) ),
inference(bin_hyper_res,[status(thm)],[c_1980,c_6580]) ).
tcf(c_14243,plain,
! [X0: $i,X1: $i] :
( v1_realset1(X0)
| r2_hidden(sK314(X1,X0),X0)
| ~ r1_tarski(X0,X1) ),
inference(bin_hyper_res,[status(thm)],[c_1981,c_6580]) ).
tcf(c_14244,plain,
! [X0: $i,X1: $i] :
( v1_realset1(X0)
| m1_subset_1(sK314(X1,X0),X1)
| ~ r1_tarski(X0,X1) ),
inference(bin_hyper_res,[status(thm)],[c_1983,c_6580]) ).
tcf(c_14245,plain,
! [X0: $i,X1: $i] :
( v1_realset1(X0)
| m1_subset_1(sK313(X1,X0),X1)
| ~ r1_tarski(X0,X1) ),
inference(bin_hyper_res,[status(thm)],[c_1984,c_6580]) ).
tcf(c_14246,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( X2 = np__0 )
| ( k1_funct_1(k5_relat_1(X0,X4),X3) = k1_funct_1(X4,k1_funct_1(X0,X3)) )
| ~ v1_relat_1(X4)
| ~ v1_funct_1(X4)
| ~ v1_funct_1(X0)
| ~ r2_hidden(X3,X1)
| ~ m1_relset_1(X0,X1,X2)
| ~ v1_funct_2(X0,X1,X2) ),
inference(bin_hyper_res,[status(thm)],[c_2219,c_6576]) ).
tcf(c_14247,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(X0,X1)
| ~ r1_xboole_0(X0,X2)
| ~ r1_tarski(k4_xboole_0(X0,X1),X2) ),
inference(bin_hyper_res,[status(thm)],[c_2456,c_6572]) ).
tcf(c_14248,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(X0,k5_xboole_0(X1,X2))
| ~ r1_tarski(k4_xboole_0(X0,X1),X2)
| ~ r1_xboole_0(X0,k4_xboole_0(X1,k4_xboole_0(X1,X2))) ),
inference(bin_hyper_res,[status(thm)],[c_2600,c_6572]) ).
tcf(c_14249,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k6_subset_1(X1,X2,X0) = k4_xboole_0(X2,X0) )
| ~ r1_tarski(X2,X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(X1)) ),
inference(bin_hyper_res,[status(thm)],[c_2763,c_6580]) ).
tcf(c_14250,plain,
! [X0: $i,X1: $i,X2: $i] :
( m1_subset_1(k6_subset_1(X1,X2,X0),k1_zfmisc_1(X1))
| ~ r1_tarski(X2,X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(X1)) ),
inference(bin_hyper_res,[status(thm)],[c_2764,c_6580]) ).
tcf(c_14251,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k3_subset_1(X1,k6_subset_1(X1,X2,X0)) = k4_subset_1(X1,k3_subset_1(X1,X2),X0) )
| ~ r1_tarski(X2,X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(X1)) ),
inference(bin_hyper_res,[status(thm)],[c_2765,c_6580]) ).
tcf(c_14252,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r2_hidden(sK419(X1,X3,X0,X2),X3)
| r2_hidden(sK419(X1,X3,X0,X2),X0)
| ( k6_subset_1(X1,X0,X2) = X3 )
| ~ r1_tarski(X3,X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| ~ m1_subset_1(X0,k1_zfmisc_1(X1)) ),
inference(bin_hyper_res,[status(thm)],[c_2767,c_6580]) ).
tcf(c_14253,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( m1_subset_1(sK419(X1,X3,X0,X2),X1)
| ( k6_subset_1(X1,X0,X2) = X3 )
| ~ r1_tarski(X3,X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| ~ m1_subset_1(X0,k1_zfmisc_1(X1)) ),
inference(bin_hyper_res,[status(thm)],[c_2769,c_6580]) ).
tcf(c_14255,plain,
! [X0: $i,X1: $i,X2: $i] :
( v2_funct_1(X0)
| v1_xboole_0(X2)
| v1_xboole_0(X1)
| ( k8_funct_2(X1,X2,X0,sK429(X1,X2,X0)) = k8_funct_2(X1,X2,X0,sK430(X1,X2,X0)) )
| ~ v1_funct_1(X0)
| ~ m1_relset_1(X0,X1,X2)
| ~ v1_funct_2(X0,X1,X2) ),
inference(bin_hyper_res,[status(thm)],[c_2827,c_6576]) ).
tcf(c_14256,plain,
! [X0: $i,X1: $i,X2: $i] :
( v2_funct_1(X0)
| v1_xboole_0(X2)
| v1_xboole_0(X1)
| m1_subset_1(sK430(X1,X2,X0),X1)
| ~ v1_funct_1(X0)
| ~ m1_relset_1(X0,X1,X2)
| ~ v1_funct_2(X0,X1,X2) ),
inference(bin_hyper_res,[status(thm)],[c_2828,c_6576]) ).
tcf(c_14257,plain,
! [X0: $i,X1: $i,X2: $i] :
( v2_funct_1(X0)
| v1_xboole_0(X2)
| v1_xboole_0(X1)
| m1_subset_1(sK429(X1,X2,X0),X1)
| ~ v1_funct_1(X0)
| ~ m1_relset_1(X0,X1,X2)
| ~ v1_funct_2(X0,X1,X2) ),
inference(bin_hyper_res,[status(thm)],[c_2829,c_6576]) ).
tcf(c_14258,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP26(X1,X0)
| ( X2 = np__0 )
| ~ v1_funct_1(X0)
| ~ m1_relset_1(X0,X1,X2)
| ~ v1_funct_2(X0,X1,X2) ),
inference(bin_hyper_res,[status(thm)],[c_2850,c_6576]) ).
tcf(c_14259,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( v1_xboole_0(X4)
| v1_xboole_0(X2)
| v1_xboole_0(X1)
| sP27(X3,X0,X4,X2,X1)
| ( k8_funct_2(X1,X2,X0,sK466(X1,X2,X4,X0,X3)) = k8_funct_2(X1,X2,X0,sK467(X1,X2,X4,X0,X3)) )
| ~ v1_funct_1(X3)
| ~ v1_funct_1(X0)
| ~ m1_relset_1(X0,X1,X2)
| ~ m2_relset_1(X3,X1,X4)
| ~ v1_funct_2(X3,X1,X4)
| ~ v1_funct_2(X0,X1,X2) ),
inference(bin_hyper_res,[status(thm)],[c_3007,c_6576]) ).
tcf(c_14260,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( v1_xboole_0(X4)
| v1_xboole_0(X2)
| v1_xboole_0(X1)
| sP27(X3,X0,X4,X2,X1)
| m1_subset_1(sK467(X1,X2,X4,X0,X3),X1)
| ~ v1_funct_1(X3)
| ~ v1_funct_1(X0)
| ~ m1_relset_1(X0,X1,X2)
| ~ m2_relset_1(X3,X1,X4)
| ~ v1_funct_2(X3,X1,X4)
| ~ v1_funct_2(X0,X1,X2) ),
inference(bin_hyper_res,[status(thm)],[c_3008,c_6576]) ).
tcf(c_14261,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( v1_xboole_0(X4)
| v1_xboole_0(X2)
| v1_xboole_0(X1)
| sP27(X3,X0,X4,X2,X1)
| m1_subset_1(sK466(X1,X2,X4,X0,X3),X1)
| ~ v1_funct_1(X3)
| ~ v1_funct_1(X0)
| ~ m1_relset_1(X0,X1,X2)
| ~ m2_relset_1(X3,X1,X4)
| ~ v1_funct_2(X3,X1,X4)
| ~ v1_funct_2(X0,X1,X2) ),
inference(bin_hyper_res,[status(thm)],[c_3009,c_6576]) ).
tcf(c_14262,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( v1_xboole_0(X2)
| r2_hidden(sK477(X1,X0,X3,X4),X4)
| ( k1_funct_4(X3,k2_partfun1(X1,X2,X0,X4)) = X3 )
| ~ v1_funct_1(X3)
| ~ v1_funct_1(X0)
| ~ m1_subset_1(X4,k5_finsub_1(X1))
| ~ m1_relset_1(X0,X1,X2)
| ~ m2_relset_1(X3,X1,X2)
| ~ v1_funct_2(X3,X1,X2)
| ~ v1_funct_2(X0,X1,X2) ),
inference(bin_hyper_res,[status(thm)],[c_3041,c_6576]) ).
tcf(c_14263,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( v1_xboole_0(X2)
| m1_subset_1(sK477(X1,X0,X3,X4),X1)
| ( k1_funct_4(X3,k2_partfun1(X1,X2,X0,X4)) = X3 )
| ~ v1_funct_1(X3)
| ~ v1_funct_1(X0)
| ~ m1_subset_1(X4,k5_finsub_1(X1))
| ~ m1_relset_1(X0,X1,X2)
| ~ m2_relset_1(X3,X1,X2)
| ~ v1_funct_2(X3,X1,X2)
| ~ v1_funct_2(X0,X1,X2) ),
inference(bin_hyper_res,[status(thm)],[c_3042,c_6576]) ).
tcf(c_14264,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v1_xboole_0(X2)
| ( k1_relat_1(k2_partfun1(X1,X2,X0,X3)) = X3 )
| ~ v1_funct_1(X0)
| ~ m1_subset_1(X3,k5_finsub_1(X1))
| ~ m1_relset_1(X0,X1,X2)
| ~ v1_funct_2(X0,X1,X2) ),
inference(bin_hyper_res,[status(thm)],[c_3043,c_6576]) ).
tcf(c_14265,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( v1_xboole_0(X2)
| ( k1_funct_4(k2_partfun1(X1,X2,X0,X4),X3) = X3 )
| ~ v1_funct_1(X3)
| ~ v1_funct_1(X0)
| ~ m1_subset_1(X4,k5_finsub_1(X1))
| ~ m1_relset_1(X0,X1,X2)
| ~ m2_relset_1(X3,X1,X2)
| ~ v1_funct_2(X3,X1,X2)
| ~ v1_funct_2(X0,X1,X2) ),
inference(bin_hyper_res,[status(thm)],[c_3044,c_6576]) ).
tcf(c_14266,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( v1_xboole_0(X2)
| r2_hidden(sK478(X1,X4,X0,X3),X4)
| ( k1_funct_4(X3,k2_partfun1(X1,X2,X0,X4)) = X3 )
| ~ v1_funct_1(X3)
| ~ v1_funct_1(X0)
| ~ m1_subset_1(X4,k1_zfmisc_1(X1))
| ~ m1_relset_1(X0,X1,X2)
| ~ m2_relset_1(X3,X1,X2)
| ~ v1_funct_2(X3,X1,X2)
| ~ v1_funct_2(X0,X1,X2) ),
inference(bin_hyper_res,[status(thm)],[c_3046,c_6576]) ).
tcf(c_14267,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( v1_xboole_0(X2)
| m1_subset_1(sK478(X1,X4,X0,X3),X1)
| ( k1_funct_4(X3,k2_partfun1(X1,X2,X0,X4)) = X3 )
| ~ v1_funct_1(X3)
| ~ v1_funct_1(X0)
| ~ m1_subset_1(X4,k1_zfmisc_1(X1))
| ~ m1_relset_1(X0,X1,X2)
| ~ m2_relset_1(X3,X1,X2)
| ~ v1_funct_2(X3,X1,X2)
| ~ v1_funct_2(X0,X1,X2) ),
inference(bin_hyper_res,[status(thm)],[c_3047,c_6576]) ).
tcf(c_14268,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v1_xboole_0(X2)
| ( k1_funct_4(X0,k2_partfun1(X1,X2,X0,X3)) = X0 )
| ~ v1_funct_1(X0)
| ~ m1_subset_1(X3,k1_zfmisc_1(X1))
| ~ m1_relset_1(X0,X1,X2)
| ~ v1_funct_2(X0,X1,X2) ),
inference(bin_hyper_res,[status(thm)],[c_3048,c_6576]) ).
tcf(c_14269,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( v1_xboole_0(X2)
| ( k1_funct_4(k2_partfun1(X1,X2,X0,X4),X3) = X3 )
| ~ v1_funct_1(X3)
| ~ v1_funct_1(X0)
| ~ m1_subset_1(X4,k1_zfmisc_1(X1))
| ~ m1_relset_1(X0,X1,X2)
| ~ m2_relset_1(X3,X1,X2)
| ~ v1_funct_2(X3,X1,X2)
| ~ v1_funct_2(X0,X1,X2) ),
inference(bin_hyper_res,[status(thm)],[c_3049,c_6576]) ).
tcf(c_14270,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( v1_xboole_0(X2)
| v1_funct_1(k1_funct_4(X0,k2_partfun1(X1,X2,X3,X4)))
| ~ v1_funct_1(X3)
| ~ v1_funct_1(X0)
| ~ m1_relset_1(X0,X1,X2)
| ~ m2_relset_1(X3,X1,X2)
| ~ v1_funct_2(X3,X1,X2)
| ~ v1_funct_2(X0,X1,X2) ),
inference(bin_hyper_res,[status(thm)],[c_3050,c_6576]) ).
tcf(c_14271,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( v1_xboole_0(X2)
| v1_funct_2(k1_funct_4(X0,k2_partfun1(X1,X2,X3,X4)),X1,X2)
| ~ v1_funct_1(X3)
| ~ v1_funct_1(X0)
| ~ m1_relset_1(X0,X1,X2)
| ~ m2_relset_1(X3,X1,X2)
| ~ v1_funct_2(X3,X1,X2)
| ~ v1_funct_2(X0,X1,X2) ),
inference(bin_hyper_res,[status(thm)],[c_3051,c_6576]) ).
tcf(c_14272,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( v1_xboole_0(X2)
| m2_relset_1(k1_funct_4(X0,k2_partfun1(X1,X2,X3,X4)),X1,X2)
| ~ v1_funct_1(X3)
| ~ v1_funct_1(X0)
| ~ m1_relset_1(X0,X1,X2)
| ~ m2_relset_1(X3,X1,X2)
| ~ v1_funct_2(X3,X1,X2)
| ~ v1_funct_2(X0,X1,X2) ),
inference(bin_hyper_res,[status(thm)],[c_3052,c_6576]) ).
tcf(c_14273,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( v1_xboole_0(X2)
| r2_hidden(sK479(X1,X4,X0,X3),X4)
| ( k2_partfun1(X1,X2,X0,X4) = k2_partfun1(X1,X2,X3,X4) )
| ~ v1_funct_1(X3)
| ~ v1_funct_1(X0)
| ~ m1_subset_1(X4,k1_zfmisc_1(X1))
| ~ m1_relset_1(X0,X1,X2)
| ~ m2_relset_1(X3,X1,X2)
| ~ v1_funct_2(X3,X1,X2)
| ~ v1_funct_2(X0,X1,X2) ),
inference(bin_hyper_res,[status(thm)],[c_3054,c_6576]) ).
tcf(c_14274,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( v1_xboole_0(X2)
| m1_subset_1(sK479(X1,X4,X0,X3),X1)
| ( k2_partfun1(X1,X2,X0,X4) = k2_partfun1(X1,X2,X3,X4) )
| ~ v1_funct_1(X3)
| ~ v1_funct_1(X0)
| ~ m1_subset_1(X4,k1_zfmisc_1(X1))
| ~ m1_relset_1(X0,X1,X2)
| ~ m2_relset_1(X3,X1,X2)
| ~ v1_funct_2(X3,X1,X2)
| ~ v1_funct_2(X0,X1,X2) ),
inference(bin_hyper_res,[status(thm)],[c_3055,c_6576]) ).
tcf(c_14275,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v1_xboole_0(X2)
| ( k1_relat_1(k2_partfun1(X1,X2,X0,X3)) = X3 )
| ~ v1_funct_1(X0)
| ~ m1_subset_1(X3,k1_zfmisc_1(X1))
| ~ m1_relset_1(X0,X1,X2)
| ~ v1_funct_2(X0,X1,X2) ),
inference(bin_hyper_res,[status(thm)],[c_3057,c_6576]) ).
tcf(c_14276,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( k2_partfun1(X1,X2,X0,X3) = X0 )
| ~ v1_funct_1(X0)
| ~ r1_tarski(X1,X3)
| ~ m1_relset_1(X0,X1,X2)
| ~ v1_funct_2(X0,X1,X2) ),
inference(bin_hyper_res,[status(thm)],[c_3061,c_6576]) ).
tcf(c_14277,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v1_funct_2(k2_partfun1(X1,X2,X0,X3),X3,X2)
| ( X2 = np__0 )
| ~ v1_funct_1(X0)
| ~ r1_tarski(X3,X1)
| ~ m1_relset_1(X0,X1,X2)
| ~ v1_funct_2(X0,X1,X2) ),
inference(bin_hyper_res,[status(thm)],[c_3063,c_6576]) ).
tcf(c_14278,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( m2_relset_1(k2_partfun1(X1,X2,X0,X3),X3,X2)
| ( X2 = np__0 )
| ~ v1_funct_1(X0)
| ~ r1_tarski(X3,X1)
| ~ m1_relset_1(X0,X1,X2)
| ~ v1_funct_2(X0,X1,X2) ),
inference(bin_hyper_res,[status(thm)],[c_3064,c_6576]) ).
tcf(c_14279,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_tarski(k10_relat_1(X0,X3),X1)
| ~ v1_funct_1(X0)
| ~ m1_relset_1(X0,X1,X2) ),
inference(bin_hyper_res,[status(thm)],[c_3086,c_6576]) ).
tcf(c_14280,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_tarski(k9_relat_1(X0,X3),X2)
| ~ v1_funct_1(X0)
| ~ m1_relset_1(X0,X1,X2)
| ~ v1_funct_2(X0,X1,X2) ),
inference(bin_hyper_res,[status(thm)],[c_3138,c_6576]) ).
tcf(c_14281,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( r2_hidden(k1_funct_1(X0,X3),k9_relat_1(X0,X4))
| ( X2 = np__0 )
| ~ v1_funct_1(X0)
| ~ r2_hidden(X3,X4)
| ~ r2_hidden(X3,X1)
| ~ m1_relset_1(X0,X1,X2)
| ~ v1_funct_2(X0,X1,X2) ),
inference(bin_hyper_res,[status(thm)],[c_3139,c_6576]) ).
tcf(c_14282,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k9_relat_1(X0,X1) = k2_relat_1(X0) )
| ~ v1_funct_1(X0)
| ~ m1_relset_1(X0,X1,X2) ),
inference(bin_hyper_res,[status(thm)],[c_3143,c_6576]) ).
tcf(c_14283,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( v1_xboole_0(X2)
| v1_xboole_0(X1)
| r1_tarski(k2_funct_2(X1,X2,X0,X3),X4)
| r2_hidden(sK494(X1,X2,X3,X4,X0),X3)
| ~ v1_funct_1(X0)
| ~ m1_subset_1(X3,k5_finsub_1(X1))
| ~ m1_relset_1(X0,X1,X2)
| ~ v1_funct_2(X0,X1,X2) ),
inference(bin_hyper_res,[status(thm)],[c_3178,c_6576]) ).
tcf(c_14284,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( v1_xboole_0(X2)
| v1_xboole_0(X1)
| r1_tarski(k2_funct_2(X1,X2,X0,X3),X4)
| m1_subset_1(sK494(X1,X2,X3,X4,X0),X1)
| ~ v1_funct_1(X0)
| ~ m1_subset_1(X3,k5_finsub_1(X1))
| ~ m1_relset_1(X0,X1,X2)
| ~ v1_funct_2(X0,X1,X2) ),
inference(bin_hyper_res,[status(thm)],[c_3179,c_6576]) ).
tcf(c_14285,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v1_xboole_0(X2)
| v1_xboole_0(X1)
| ( k2_enumset1(k8_funct_2(X1,X2,X0,X3),k8_funct_2(X1,X2,X0,X3),k8_funct_2(X1,X2,X0,X3),k8_funct_2(X1,X2,X0,X3)) = k2_funct_2(X1,X2,X0,k2_enumset1(X3,X3,X3,X3)) )
| ~ v1_funct_1(X0)
| ~ m1_subset_1(X3,X1)
| ~ m1_relset_1(X0,X1,X2)
| ~ v1_funct_2(X0,X1,X2) ),
inference(bin_hyper_res,[status(thm)],[c_3180,c_6576]) ).
tcf(c_14286,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v1_xboole_0(X2)
| ( k2_funct_2(X1,X2,X0,k3_tarski(X3)) = k3_tarski(k9_relat_1(k1_funct_3(X0),X3)) )
| ~ v1_funct_1(X0)
| ~ r1_tarski(X3,k1_zfmisc_1(X1))
| ~ m1_relset_1(X0,X1,X2)
| ~ v1_funct_2(X0,X1,X2) ),
inference(bin_hyper_res,[status(thm)],[c_3181,c_6576]) ).
tcf(c_14287,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2 = np__0 )
| ( k2_funct_2(X1,X2,X0,X1) = k2_relat_1(X0) )
| ~ v1_funct_1(X0)
| ~ m1_relset_1(X0,X1,X2)
| ~ v1_funct_2(X0,X1,X2) ),
inference(bin_hyper_res,[status(thm)],[c_3194,c_6576]) ).
tcf(c_14725,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X1 )
| ~ r2_hidden(k2_tarski(k2_tarski(X0,X1),k2_enumset1(X0,X0,X0,X0)),k6_partfun1(X2)) ),
inference(backward_subsumption_resolution,[status(thm)],[c_2210,c_2182]) ).
tcf(c_14726,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(X0,X2)
| ~ r2_hidden(k2_tarski(k2_tarski(X0,X1),k2_enumset1(X0,X0,X0,X0)),k6_partfun1(X2)) ),
inference(backward_subsumption_resolution,[status(thm)],[c_2209,c_2182]) ).
tcf(c_14727,plain,
! [X0: $i,X1: $i] :
( r2_hidden(k2_tarski(k2_tarski(X0,X0),k2_enumset1(X0,X0,X0,X0)),k6_partfun1(X1))
| ~ r2_hidden(X0,X1) ),
inference(backward_subsumption_resolution,[status(thm)],[c_2208,c_2182]) ).
tcf(c_14774,plain,
! [X0: $i,X1: $i] :
( v1_finset_1(X0)
| ~ r2_hidden(X0,k5_finsub_1(X1)) ),
inference(backward_subsumption_resolution,[status(thm)],[c_3596,c_3590]) ).
tcf(c_14775,plain,
! [X0: $i,X1: $i] :
( r2_hidden(X0,k5_finsub_1(X1))
| ~ v1_finset_1(X0)
| ~ r1_tarski(X0,X1) ),
inference(backward_subsumption_resolution,[status(thm)],[c_3594,c_3590]) ).
tcf(c_14776,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,X1)
| ~ r2_hidden(X0,k5_finsub_1(X1)) ),
inference(backward_subsumption_resolution,[status(thm)],[c_3595,c_3590]) ).
tcf(c_14799,plain,
! [X0: $i,X1: $i] :
( ~ v1_relat_2(np__0)
| ~ r2_hidden(X1,X0)
| ~ v1_partfun1(np__0,X0,X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_3356,c_682]) ).
tcf(c_15734,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(k2_tarski(k2_tarski(X1,X0),k2_enumset1(X1,X1,X1,X1)),X2)
| ~ v1_relat_1(X2)
| ~ r2_hidden(k2_tarski(k2_tarski(X0,X1),k2_enumset1(X0,X0,X0,X0)),k4_relat_1(X2)) ),
inference(backward_subsumption_resolution,[status(thm)],[c_3387,c_7358]) ).
tcf(c_15735,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(k2_tarski(k2_tarski(X1,X0),k2_enumset1(X1,X1,X1,X1)),k4_relat_1(X2))
| ~ v1_relat_1(X2)
| ~ r2_hidden(k2_tarski(k2_tarski(X0,X1),k2_enumset1(X0,X0,X0,X0)),X2) ),
inference(backward_subsumption_resolution,[status(thm)],[c_3386,c_7358]) ).
tcf(c_15954,plain,
! [X0: $i] :
( v4_finsub_1(X0)
| ~ r2_hidden(k5_xboole_0(sK408(X0),sK409(X0)),X0)
| ~ r2_hidden(k4_xboole_0(sK408(X0),k4_xboole_0(sK408(X0),sK409(X0))),X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_2587,c_6827]) ).
tcf(c_15956,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X1)
| r1_tarski(k2_filter_0(X1,X2),k3_filter_0(X1,X0))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ r2_hidden(X2,X0)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(backward_subsumption_resolution,[status(thm)],[c_215,c_6827]) ).
tcf(c_15957,plain,
! [X0: $i] :
( v4_finsub_1(X0)
| ~ r2_hidden(k4_xboole_0(sK410(X0),sK411(X0)),X0)
| ~ r2_hidden(k5_xboole_0(sK410(X0),sK411(X0)),X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_2590,c_6827]) ).
tcf(c_15958,plain,
! [X0: $i] :
( v4_finsub_1(X0)
| ~ r2_hidden(k5_xboole_0(sK406(X0),sK407(X0)),X0)
| ~ r2_hidden(k3_tarski(k2_tarski(sK406(X0),sK407(X0))),X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_2584,c_6827]) ).
tcf(c_15959,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X0)
| m1_filter_0(X1,X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ r2_hidden(sK69(X0,X1),X1)
| ~ r2_hidden(sK68(X0,X1),X1)
| ~ r2_hidden(k4_lattices(X0,sK68(X0,X1),sK69(X0,X1)),X1) ),
inference(backward_subsumption_resolution,[status(thm)],[c_441,c_6827]) ).
tcf(c_15960,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v3_struct_0(X0)
| r2_hidden(X2,X3)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| ~ m1_filter_0(X3,X0)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0)))
| ~ r2_hidden(k4_lattices(X0,X1,X2),X3) ),
inference(backward_subsumption_resolution,[status(thm)],[c_447,c_6827]) ).
tcf(c_15961,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v3_struct_0(X0)
| r2_hidden(X1,X3)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| ~ m1_filter_0(X3,X0)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0)))
| ~ r2_hidden(k4_lattices(X0,X1,X2),X3) ),
inference(backward_subsumption_resolution,[status(thm)],[c_446,c_6827]) ).
tcf(c_15962,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X0)
| m1_filter_0(X1,X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| ~ sP8(X1,X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ r2_hidden(k4_lattices(X0,sK66(X0,X1),sK67(X0,X1)),X1) ),
inference(backward_subsumption_resolution,[status(thm)],[c_434,c_6827]) ).
tcf(c_16001,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r2_hidden(X0,X3)
| ~ v1_relat_1(X2)
| ~ r2_hidden(k2_tarski(k2_tarski(X0,X1),k2_enumset1(X0,X0,X0,X0)),k7_relat_1(X2,X3)) ),
inference(backward_subsumption_resolution,[status(thm)],[c_2076,c_7238]) ).
tcf(c_16002,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r2_hidden(k2_tarski(k2_tarski(X0,X1),k2_enumset1(X0,X0,X0,X0)),X2)
| ~ v1_relat_1(X2)
| ~ r2_hidden(k2_tarski(k2_tarski(X0,X1),k2_enumset1(X0,X0,X0,X0)),k7_relat_1(X2,X3)) ),
inference(backward_subsumption_resolution,[status(thm)],[c_2077,c_7238]) ).
tcf(c_16003,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r2_hidden(k2_tarski(k2_tarski(X0,X1),k2_enumset1(X0,X0,X0,X0)),k7_relat_1(X2,X3))
| ~ v1_relat_1(X2)
| ~ r2_hidden(X0,X3)
| ~ r2_hidden(k2_tarski(k2_tarski(X0,X1),k2_enumset1(X0,X0,X0,X0)),X2) ),
inference(backward_subsumption_resolution,[status(thm)],[c_2075,c_7238]) ).
tcf(c_16010,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r2_hidden(X1,X2)
| ~ v1_relat_1(X3)
| ~ r2_hidden(k2_tarski(k2_tarski(X0,X1),k2_enumset1(X0,X0,X0,X0)),k8_relat_1(X2,X3)) ),
inference(backward_subsumption_resolution,[status(thm)],[c_3323,c_7332]) ).
tcf(c_16011,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r2_hidden(k2_tarski(k2_tarski(X0,X1),k2_enumset1(X0,X0,X0,X0)),X3)
| ~ v1_relat_1(X3)
| ~ r2_hidden(k2_tarski(k2_tarski(X0,X1),k2_enumset1(X0,X0,X0,X0)),k8_relat_1(X2,X3)) ),
inference(backward_subsumption_resolution,[status(thm)],[c_3324,c_7332]) ).
tcf(c_16012,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r2_hidden(k2_tarski(k2_tarski(X0,X1),k2_enumset1(X0,X0,X0,X0)),k8_relat_1(X3,X2))
| ~ v1_relat_1(X2)
| ~ r2_hidden(X1,X3)
| ~ r2_hidden(k2_tarski(k2_tarski(X0,X1),k2_enumset1(X0,X0,X0,X0)),X2) ),
inference(backward_subsumption_resolution,[status(thm)],[c_3322,c_7332]) ).
tcf(c_18385,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_tarski(k8_relat_1(X0,X2),k8_relat_1(X1,X3))
| ~ v1_relat_1(X3)
| ~ r1_tarski(X2,X3)
| ~ r1_tarski(X0,X1) ),
inference(backward_subsumption_resolution,[status(thm)],[c_3299,c_539]) ).
tcf(c_18386,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_tarski(k5_relat_1(X0,X2),k5_relat_1(X1,X3))
| ~ v1_relat_1(X3)
| ~ v1_relat_1(X1)
| ~ r1_tarski(X2,X3)
| ~ r1_tarski(X0,X1) ),
inference(backward_subsumption_resolution,[status(thm)],[c_6453,c_539]) ).
tcf(c_18387,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_tarski(k9_relat_1(X2,X0),k9_relat_1(X3,X1))
| ~ v1_relat_1(X3)
| ~ r1_tarski(X2,X3)
| ~ r1_tarski(X0,X1) ),
inference(backward_subsumption_resolution,[status(thm)],[c_3153,c_539]) ).
tcf(c_18388,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_tarski(k7_relat_1(X2,X0),k7_relat_1(X3,X1))
| ~ v1_relat_1(X3)
| ~ r1_tarski(X2,X3)
| ~ r1_tarski(X0,X1) ),
inference(backward_subsumption_resolution,[status(thm)],[c_2049,c_539]) ).
tcf(c_18389,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(X0,k7_relat_1(X2,X1))
| ~ v1_relat_1(X2)
| ~ r1_tarski(X0,X2)
| ~ r1_tarski(k1_relat_1(X0),X1) ),
inference(backward_subsumption_resolution,[status(thm)],[c_2039,c_539]) ).
tcf(c_18391,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_tarski(k10_relat_1(X2,X0),k10_relat_1(X3,X1))
| ~ v1_relat_1(X3)
| ~ r1_tarski(X2,X3)
| ~ r1_tarski(X0,X1) ),
inference(backward_subsumption_resolution,[status(thm)],[c_3113,c_539]) ).
tcf(c_19172,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r2_hidden(k2_tarski(k2_tarski(X0,sK354(X2,X3,X0,X1)),k2_enumset1(X0,X0,X0,X0)),X2)
| ~ v1_relat_1(X3)
| ~ v1_relat_1(X2)
| ~ r2_hidden(k2_tarski(k2_tarski(X0,X1),k2_enumset1(X0,X0,X0,X0)),k5_relat_1(X2,X3)) ),
inference(backward_subsumption_resolution,[status(thm)],[c_2285,c_6418]) ).
tcf(c_19173,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r2_hidden(k2_tarski(k2_tarski(sK354(X2,X3,X0,X1),X1),k2_enumset1(sK354(X2,X3,X0,X1),sK354(X2,X3,X0,X1),sK354(X2,X3,X0,X1),sK354(X2,X3,X0,X1))),X3)
| ~ v1_relat_1(X3)
| ~ v1_relat_1(X2)
| ~ r2_hidden(k2_tarski(k2_tarski(X0,X1),k2_enumset1(X0,X0,X0,X0)),k5_relat_1(X2,X3)) ),
inference(backward_subsumption_resolution,[status(thm)],[c_2286,c_6418]) ).
tcf(c_19174,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( r2_hidden(k2_tarski(k2_tarski(X0,X3),k2_enumset1(X0,X0,X0,X0)),k5_relat_1(X2,X4))
| ~ v1_relat_1(X4)
| ~ v1_relat_1(X2)
| ~ r2_hidden(k2_tarski(k2_tarski(X1,X3),k2_enumset1(X1,X1,X1,X1)),X4)
| ~ r2_hidden(k2_tarski(k2_tarski(X0,X1),k2_enumset1(X0,X0,X0,X0)),X2) ),
inference(backward_subsumption_resolution,[status(thm)],[c_2284,c_6418]) ).
tcf(c_19196,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k1_funct_1(X1,X0) = k1_funct_1(X2,X0) )
| ~ v1_relat_1(X2)
| ~ v1_relat_1(X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X1)
| ~ v1_funct_1(k3_tarski(k2_tarski(X1,X2)))
| ~ r2_hidden(X0,k4_xboole_0(k1_relat_1(X1),k4_xboole_0(k1_relat_1(X1),k1_relat_1(X2)))) ),
inference(backward_subsumption_resolution,[status(thm)],[c_367,c_468]) ).
tcf(c_19336,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r2_hidden(k1_funct_1(X3,X0),k4_xboole_0(X1,k2_enumset1(X2,X2,X2,X2)))
| ~ m1_subset_1(X2,X1)
| ~ m3_realset1(X3,X1,X2)
| ~ m2_relset_1(X3,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
| ~ r2_hidden(X0,k2_zfmisc_1(k4_xboole_0(X1,k2_enumset1(X2,X2,X2,X2)),k4_xboole_0(X1,k2_enumset1(X2,X2,X2,X2)))) ),
inference(backward_subsumption_resolution,[status(thm)],[c_2013,c_2008]) ).
tcf(c_19759,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( v1_xboole_0(X2)
| v3_struct_0(X0)
| r3_lattices(X0,X1,k8_funct_2(X2,u1_struct_0(X0),X4,X5))
| ~ v1_funct_1(X4)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| ~ r2_hidden(X5,X3)
| ~ m1_subset_1(X3,k5_finsub_1(X2))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m2_relset_1(X4,X2,u1_struct_0(X0))
| ~ v1_funct_2(X4,X2,u1_struct_0(X0))
| ~ r3_lattices(X0,X1,k3_lattice2(X2,X0,X3,X4)) ),
inference(backward_subsumption_resolution,[status(thm)],[c_2149,c_6258]) ).
tcf(c_19760,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( v1_xboole_0(X1)
| v3_struct_0(X0)
| r3_lattices(X0,k8_funct_2(X1,u1_struct_0(X0),X3,X5),X4)
| ~ v1_funct_1(X3)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| ~ r2_hidden(X5,X2)
| ~ m1_subset_1(X4,u1_struct_0(X0))
| ~ m1_subset_1(X2,k5_finsub_1(X1))
| ~ m2_relset_1(X3,X1,u1_struct_0(X0))
| ~ v1_funct_2(X3,X1,u1_struct_0(X0))
| ~ r3_lattices(X0,k2_lattice2(X1,X0,X2,X3),X4) ),
inference(backward_subsumption_resolution,[status(thm)],[c_1970,c_6258]) ).
tcf(c_19761,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( v1_xboole_0(X1)
| v3_struct_0(X0)
| r3_lattices(X0,k3_lattice2(X1,X0,X5,X2),X4)
| ~ v1_funct_1(X2)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| ~ r2_hidden(X3,X5)
| ~ m1_subset_1(X5,k5_finsub_1(X1))
| ~ m1_subset_1(X4,u1_struct_0(X0))
| ~ m2_relset_1(X2,X1,u1_struct_0(X0))
| ~ v1_funct_2(X2,X1,u1_struct_0(X0))
| ~ r3_lattices(X0,k8_funct_2(X1,u1_struct_0(X0),X2,X3),X4) ),
inference(backward_subsumption_resolution,[status(thm)],[c_2153,c_6258]) ).
tcf(c_19762,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( v1_xboole_0(X2)
| v3_struct_0(X0)
| r3_lattices(X0,X1,k2_lattice2(X2,X0,X5,X3))
| ~ v1_funct_1(X3)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| ~ r2_hidden(X4,X5)
| ~ m1_subset_1(X5,k5_finsub_1(X2))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m2_relset_1(X3,X2,u1_struct_0(X0))
| ~ v1_funct_2(X3,X2,u1_struct_0(X0))
| ~ r3_lattices(X0,X1,k8_funct_2(X2,u1_struct_0(X0),X3,X4)) ),
inference(backward_subsumption_resolution,[status(thm)],[c_1974,c_6258]) ).
tcf(c_19763,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( v1_xboole_0(X1)
| v3_struct_0(X2)
| r3_lattices(X2,k3_lattice2(X1,X2,X3,X0),k8_funct_2(X1,u1_struct_0(X2),X0,X4))
| ~ v1_funct_1(X0)
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| ~ r2_hidden(X4,X3)
| ~ m1_subset_1(X3,k5_finsub_1(X1))
| ~ m2_relset_1(X0,X1,u1_struct_0(X2))
| ~ v1_funct_2(X0,X1,u1_struct_0(X2)) ),
inference(backward_subsumption_resolution,[status(thm)],[c_2154,c_6258]) ).
tcf(c_19764,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( v1_xboole_0(X1)
| v3_struct_0(X2)
| r3_lattices(X2,k8_funct_2(X1,u1_struct_0(X2),X0,X4),k2_lattice2(X1,X2,X3,X0))
| ~ v1_funct_1(X0)
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| ~ r2_hidden(X4,X3)
| ~ m1_subset_1(X3,k5_finsub_1(X1))
| ~ m2_relset_1(X0,X1,u1_struct_0(X2))
| ~ v1_funct_2(X0,X1,u1_struct_0(X2)) ),
inference(backward_subsumption_resolution,[status(thm)],[c_1975,c_6258]) ).
tcf(c_19765,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( v1_xboole_0(X3)
| v1_xboole_0(X1)
| ( k2_binop_1(X1,X1,X1,X0,k8_funct_2(X3,X1,X2,X5),k7_setwiseo(X3,X1,X0,X4,X2)) = k7_setwiseo(X3,X1,X0,X4,X2) )
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X0)
| ~ v3_binop_1(X0,X1)
| ~ v1_binop_1(X0,X1)
| ~ v2_binop_1(X0,X1)
| ~ r2_hidden(X5,X4)
| ~ m1_subset_1(X4,k5_finsub_1(X3))
| ~ m2_relset_1(X2,X3,X1)
| ~ v1_funct_2(X2,X3,X1)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1) ),
inference(backward_subsumption_resolution,[status(thm)],[c_2090,c_6258]) ).
tcf(c_19874,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( v1_xboole_0(X3)
| v1_xboole_0(X1)
| ( X5 = np__0 )
| ( k2_binop_1(X1,X1,X1,X0,k7_setwiseo(X3,X1,X0,X5,X2),k7_setwiseo(X3,X1,X0,X4,X2)) = k7_setwiseo(X3,X1,X0,X4,X2) )
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X0)
| ~ v3_binop_1(X0,X1)
| ~ v1_binop_1(X0,X1)
| ~ v2_binop_1(X0,X1)
| ~ r1_tarski(X5,X4)
| ~ m1_subset_1(X4,k5_finsub_1(X3))
| ~ m2_relset_1(X2,X3,X1)
| ~ v1_funct_2(X2,X3,X1)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1) ),
inference(backward_subsumption_resolution,[status(thm)],[c_2089,c_1640]) ).
tcf(c_20427,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r2_hidden(k1_funct_1(X3,X0),k4_xboole_0(X1,k2_enumset1(X2,X2,X2,X2)))
| ~ m1_subset_1(X2,X1)
| ~ m3_realset1(X3,X1,X2)
| ~ m2_relset_1(X3,k2_zfmisc_1(X1,X1),X1)
| ~ r2_hidden(X0,k2_zfmisc_1(k4_xboole_0(X1,k2_enumset1(X2,X2,X2,X2)),k4_xboole_0(X1,k2_enumset1(X2,X2,X2,X2)))) ),
inference(backward_subsumption_resolution,[status(thm)],[c_19336,c_2009]) ).
tcf(c_20435,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r2_hidden(k1_funct_1(X3,X0),k4_xboole_0(X1,k2_enumset1(X2,X2,X2,X2)))
| ~ m1_subset_1(X2,X1)
| ~ m3_realset1(X3,X1,X2)
| ~ r2_hidden(X0,k2_zfmisc_1(k4_xboole_0(X1,k2_enumset1(X2,X2,X2,X2)),k4_xboole_0(X1,k2_enumset1(X2,X2,X2,X2)))) ),
inference(backward_subsumption_resolution,[status(thm)],[c_20427,c_2010]) ).
tcf(c_22301,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( v1_xboole_0(X0)
| r2_hidden(k1_domain_1(X0,X0,k2_binop_1(X0,X0,X0,X6,X1,X4),k2_binop_1(X0,X0,X0,X6,X2,X5)),X3)
| ~ v1_relat_1(X3)
| ~ m1_subset_1(X5,X0)
| ~ m1_subset_1(X4,X0)
| ~ m1_subset_1(X2,X0)
| ~ m1_subset_1(X1,X0)
| ~ m2_filter_1(X6,X0,X3)
| ~ m2_relset_1(X6,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X6,k2_zfmisc_1(X0,X0),X0)
| ~ r2_hidden(k1_domain_1(X0,X0,X4,X5),X3)
| ~ r2_hidden(k1_domain_1(X0,X0,X1,X2),X3) ),
inference(backward_subsumption_resolution,[status(thm)],[c_2319,c_2360]) ).
tcf(c_23373,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( v1_xboole_0(X0)
| r2_hidden(k1_domain_1(X0,X0,k2_binop_1(X0,X0,X0,X6,X1,X4),k2_binop_1(X0,X0,X0,X6,X2,X5)),X3)
| ~ v1_relat_1(X3)
| ~ m1_subset_1(X5,X0)
| ~ m1_subset_1(X4,X0)
| ~ m1_subset_1(X2,X0)
| ~ m1_subset_1(X1,X0)
| ~ m2_filter_1(X6,X0,X3)
| ~ m2_relset_1(X6,k2_zfmisc_1(X0,X0),X0)
| ~ r2_hidden(k1_domain_1(X0,X0,X4,X5),X3)
| ~ r2_hidden(k1_domain_1(X0,X0,X1,X2),X3) ),
inference(backward_subsumption_resolution,[status(thm)],[c_22301,c_2361]) ).
tcf(c_23382,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( v1_xboole_0(X0)
| r2_hidden(k1_domain_1(X0,X0,k2_binop_1(X0,X0,X0,X6,X1,X4),k2_binop_1(X0,X0,X0,X6,X2,X5)),X3)
| ~ v1_relat_1(X3)
| ~ m1_subset_1(X5,X0)
| ~ m1_subset_1(X4,X0)
| ~ m1_subset_1(X2,X0)
| ~ m1_subset_1(X1,X0)
| ~ m2_filter_1(X6,X0,X3)
| ~ r2_hidden(k1_domain_1(X0,X0,X4,X5),X3)
| ~ r2_hidden(k1_domain_1(X0,X0,X1,X2),X3) ),
inference(backward_subsumption_resolution,[status(thm)],[c_23373,c_2362]) ).
tcf(c_23728,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k4_xboole_0(k6_pre_topc(X2,X0),k4_xboole_0(k6_pre_topc(X2,X0),k2_pre_topc(X1))) = k6_pre_topc(X1,X0) )
| ~ l1_pre_topc(X2)
| ~ m1_pre_topc(X1,X2)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(backward_subsumption_resolution,[status(thm)],[c_342,c_1615]) ).
tcf(c_25614,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X0)
| ( g3_lattices(k8_eqrel_1(u1_struct_0(X0),k10_filter_0(X0,X1)),k4_filter_1(u1_struct_0(X0),k10_filter_0(X0,X1),u2_lattices(X0)),k4_filter_1(u1_struct_0(X0),k10_filter_0(X0,X1),u1_lattices(X0))) = k5_filter_1(X0,X1) )
| ~ v3_filter_0(X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| ~ m1_filter_0(X1,X0)
| ~ v8_relat_2(k10_filter_0(X0,X1))
| ~ v3_relat_2(k10_filter_0(X0,X1))
| ~ l3_lattices(k5_filter_1(X0,X1))
| ~ v10_lattices(k5_filter_1(X0,X1))
| ~ v1_partfun1(k10_filter_0(X0,X1),u1_struct_0(X0),u1_struct_0(X0))
| ~ m2_relset_1(k10_filter_0(X0,X1),u1_struct_0(X0),u1_struct_0(X0)) ),
inference(backward_subsumption_resolution,[status(thm)],[c_6558,c_282]) ).
tcf(c_25656,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v3_struct_0(X0)
| r2_hidden(k9_filter_0(X0,X1,X2),X3)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| ~ m1_filter_0(X3,X0)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ r2_hidden(k1_domain_1(u1_struct_0(X0),u1_struct_0(X0),X1,X2),k10_filter_0(X0,X3)) ),
inference(backward_subsumption_resolution,[status(thm)],[c_1175,c_1162]) ).
tcf(c_25657,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v3_struct_0(X0)
| r2_hidden(k1_domain_1(u1_struct_0(X0),u1_struct_0(X0),X1,X2),k10_filter_0(X0,X3))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| ~ m1_filter_0(X3,X0)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ r2_hidden(k9_filter_0(X0,X1,X2),X3) ),
inference(backward_subsumption_resolution,[status(thm)],[c_1174,c_1162]) ).
tcf(c_25658,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| r1_tarski(k3_relat_1(k10_filter_0(X1,X0)),u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_filter_0(X0,X1) ),
inference(backward_subsumption_resolution,[status(thm)],[c_1173,c_1162]) ).
tcf(c_25683,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( k2_tarski(k2_tarski(k1_funct_1(X2,k2_tarski(k2_tarski(X0,X1),k2_enumset1(X0,X0,X0,X0))),k1_funct_1(X5,k2_tarski(k2_tarski(X3,X4),k2_enumset1(X3,X3,X3,X3)))),k2_enumset1(k1_funct_1(X2,k2_tarski(k2_tarski(X0,X1),k2_enumset1(X0,X0,X0,X0))),k1_funct_1(X2,k2_tarski(k2_tarski(X0,X1),k2_enumset1(X0,X0,X0,X0))),k1_funct_1(X2,k2_tarski(k2_tarski(X0,X1),k2_enumset1(X0,X0,X0,X0))),k1_funct_1(X2,k2_tarski(k2_tarski(X0,X1),k2_enumset1(X0,X0,X0,X0))))) = k1_funct_1(k3_funct_4(X2,X5),k2_tarski(k2_tarski(k2_tarski(k2_tarski(X0,X3),k2_enumset1(X0,X0,X0,X0)),k2_tarski(k2_tarski(X1,X4),k2_enumset1(X1,X1,X1,X1))),k2_enumset1(k2_tarski(k2_tarski(X0,X3),k2_enumset1(X0,X0,X0,X0)),k2_tarski(k2_tarski(X0,X3),k2_enumset1(X0,X0,X0,X0)),k2_tarski(k2_tarski(X0,X3),k2_enumset1(X0,X0,X0,X0)),k2_tarski(k2_tarski(X0,X3),k2_enumset1(X0,X0,X0,X0))))) )
| ~ v1_relat_1(X5)
| ~ v1_relat_1(X2)
| ~ v1_funct_1(X5)
| ~ v1_funct_1(X2)
| ~ v1_funct_1(k3_funct_4(X2,X5))
| ~ r2_hidden(k2_tarski(k2_tarski(X3,X4),k2_enumset1(X3,X3,X3,X3)),k1_relat_1(X5))
| ~ r2_hidden(k2_tarski(k2_tarski(X0,X1),k2_enumset1(X0,X0,X0,X0)),k1_relat_1(X2)) ),
inference(backward_subsumption_resolution,[status(thm)],[c_3224,c_3195]) ).
tcf(c_25695,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( k2_tarski(k2_tarski(k1_funct_1(X2,k2_tarski(k2_tarski(X0,X1),k2_enumset1(X0,X0,X0,X0))),k1_funct_1(X5,k2_tarski(k2_tarski(X3,X4),k2_enumset1(X3,X3,X3,X3)))),k2_enumset1(k1_funct_1(X2,k2_tarski(k2_tarski(X0,X1),k2_enumset1(X0,X0,X0,X0))),k1_funct_1(X2,k2_tarski(k2_tarski(X0,X1),k2_enumset1(X0,X0,X0,X0))),k1_funct_1(X2,k2_tarski(k2_tarski(X0,X1),k2_enumset1(X0,X0,X0,X0))),k1_funct_1(X2,k2_tarski(k2_tarski(X0,X1),k2_enumset1(X0,X0,X0,X0))))) = k1_funct_1(k3_funct_4(X2,X5),k2_tarski(k2_tarski(k2_tarski(k2_tarski(X0,X3),k2_enumset1(X0,X0,X0,X0)),k2_tarski(k2_tarski(X1,X4),k2_enumset1(X1,X1,X1,X1))),k2_enumset1(k2_tarski(k2_tarski(X0,X3),k2_enumset1(X0,X0,X0,X0)),k2_tarski(k2_tarski(X0,X3),k2_enumset1(X0,X0,X0,X0)),k2_tarski(k2_tarski(X0,X3),k2_enumset1(X0,X0,X0,X0)),k2_tarski(k2_tarski(X0,X3),k2_enumset1(X0,X0,X0,X0))))) )
| ~ v1_relat_1(X5)
| ~ v1_relat_1(X2)
| ~ v1_funct_1(X5)
| ~ v1_funct_1(X2)
| ~ r2_hidden(k2_tarski(k2_tarski(X3,X4),k2_enumset1(X3,X3,X3,X3)),k1_relat_1(X5))
| ~ r2_hidden(k2_tarski(k2_tarski(X0,X1),k2_enumset1(X0,X0,X0,X0)),k1_relat_1(X2)) ),
inference(backward_subsumption_resolution,[status(thm)],[c_25683,c_3196]) ).
tcf(c_25846,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X0)
| ( g3_lattices(k8_eqrel_1(u1_struct_0(X0),k10_filter_0(X0,X1)),k4_filter_1(u1_struct_0(X0),k10_filter_0(X0,X1),u2_lattices(X0)),k4_filter_1(u1_struct_0(X0),k10_filter_0(X0,X1),u1_lattices(X0))) = k5_filter_1(X0,X1) )
| ~ v3_filter_0(X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| ~ m1_filter_0(X1,X0)
| ~ v8_relat_2(k10_filter_0(X0,X1))
| ~ v3_relat_2(k10_filter_0(X0,X1))
| ~ v10_lattices(k5_filter_1(X0,X1))
| ~ v1_partfun1(k10_filter_0(X0,X1),u1_struct_0(X0),u1_struct_0(X0))
| ~ m2_relset_1(k10_filter_0(X0,X1),u1_struct_0(X0),u1_struct_0(X0)) ),
inference(backward_subsumption_resolution,[status(thm)],[c_25614,c_6336]) ).
tcf(c_25858,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X0)
| ( g3_lattices(k8_eqrel_1(u1_struct_0(X0),k10_filter_0(X0,X1)),k4_filter_1(u1_struct_0(X0),k10_filter_0(X0,X1),u2_lattices(X0)),k4_filter_1(u1_struct_0(X0),k10_filter_0(X0,X1),u1_lattices(X0))) = k5_filter_1(X0,X1) )
| ~ v3_filter_0(X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| ~ m1_filter_0(X1,X0)
| ~ v8_relat_2(k10_filter_0(X0,X1))
| ~ v3_relat_2(k10_filter_0(X0,X1))
| ~ v1_partfun1(k10_filter_0(X0,X1),u1_struct_0(X0),u1_struct_0(X0))
| ~ m2_relset_1(k10_filter_0(X0,X1),u1_struct_0(X0),u1_struct_0(X0)) ),
inference(backward_subsumption_resolution,[status(thm)],[c_25846,c_6338]) ).
tcf(c_25910,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v3_struct_0(X0)
| r2_hidden(X1,X3)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| ~ m1_filter_0(X3,X0)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ r2_hidden(k4_lattices(X0,X1,X2),X3) ),
inference(backward_subsumption_resolution,[status(thm)],[c_15961,c_864]) ).
tcf(c_25911,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v3_struct_0(X0)
| r2_hidden(X2,X3)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| ~ m1_filter_0(X3,X0)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ r2_hidden(k4_lattices(X0,X1,X2),X3) ),
inference(backward_subsumption_resolution,[status(thm)],[c_15960,c_864]) ).
tcf(c_26174,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( r2_hidden(k2_tarski(k2_tarski(X0,X4),k2_enumset1(X0,X0,X0,X0)),X2)
| ~ v8_relat_2(X2)
| ~ v3_relat_2(X2)
| ~ v1_partfun1(X2,X1,X1)
| ~ m2_relset_1(X2,X1,X1)
| ~ r2_hidden(X4,k6_eqrel_1(X1,X2,X3))
| ~ r2_hidden(X0,k6_eqrel_1(X1,X2,X3)) ),
inference(backward_subsumption_resolution,[status(thm)],[c_2394,c_2295]) ).
tcf(c_26685,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X0)
| ( g3_lattices(k8_eqrel_1(u1_struct_0(X0),k10_filter_0(X0,X1)),k4_filter_1(u1_struct_0(X0),k10_filter_0(X0,X1),u2_lattices(X0)),k4_filter_1(u1_struct_0(X0),k10_filter_0(X0,X1),u1_lattices(X0))) = k5_filter_1(X0,X1) )
| ~ v3_filter_0(X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| ~ m1_filter_0(X1,X0)
| ~ v8_relat_2(k10_filter_0(X0,X1))
| ~ v3_relat_2(k10_filter_0(X0,X1))
| ~ v1_partfun1(k10_filter_0(X0,X1),u1_struct_0(X0),u1_struct_0(X0)) ),
inference(backward_subsumption_resolution,[status(thm)],[c_25858,c_6403]) ).
tcf(c_29033,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X0)
| ( g3_lattices(k8_eqrel_1(u1_struct_0(X0),k10_filter_0(X0,X1)),k4_filter_1(u1_struct_0(X0),k10_filter_0(X0,X1),u2_lattices(X0)),k4_filter_1(u1_struct_0(X0),k10_filter_0(X0,X1),u1_lattices(X0))) = k5_filter_1(X0,X1) )
| ~ v3_filter_0(X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| ~ m1_filter_0(X1,X0)
| ~ v8_relat_2(k10_filter_0(X0,X1))
| ~ v1_partfun1(k10_filter_0(X0,X1),u1_struct_0(X0),u1_struct_0(X0)) ),
inference(backward_subsumption_resolution,[status(thm)],[c_26685,c_1164]) ).
tcf(c_29047,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X0)
| ( g3_lattices(k8_eqrel_1(u1_struct_0(X0),k10_filter_0(X0,X1)),k4_filter_1(u1_struct_0(X0),k10_filter_0(X0,X1),u2_lattices(X0)),k4_filter_1(u1_struct_0(X0),k10_filter_0(X0,X1),u1_lattices(X0))) = k5_filter_1(X0,X1) )
| ~ v3_filter_0(X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| ~ m1_filter_0(X1,X0)
| ~ v1_partfun1(k10_filter_0(X0,X1),u1_struct_0(X0),u1_struct_0(X0)) ),
inference(backward_subsumption_resolution,[status(thm)],[c_29033,c_1165]) ).
tcf(c_29192,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(X0)
| v3_struct_0(X1)
| r1_tarski(X0,k3_filter_0(X1,X0))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(backward_subsumption_resolution,[status(thm)],[c_1111,c_1103]) ).
tcf(c_29193,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_xboole_0(X0)
| v3_struct_0(X1)
| r1_tarski(k3_filter_0(X1,X0),X2)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_filter_0(X2,X1)
| ~ r1_tarski(X0,X2)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(backward_subsumption_resolution,[status(thm)],[c_1112,c_1103]) ).
tcf(c_29387,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| ( g3_lattices(k8_eqrel_1(u1_struct_0(X1),k10_filter_0(X1,X0)),k4_filter_1(u1_struct_0(X1),k10_filter_0(X1,X0),u2_lattices(X1)),k4_filter_1(u1_struct_0(X1),k10_filter_0(X1,X0),u1_lattices(X1))) = k5_filter_1(X1,X0) )
| ~ v3_filter_0(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_filter_0(X0,X1) ),
inference(backward_subsumption_resolution,[status(thm)],[c_29047,c_1166]) ).
tcf(c_29689,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X1)
| r3_lattices(X1,k4_lattices(X1,X0,k4_filter_0(X1,X0,X2)),X2)
| ~ v3_filter_0(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(backward_subsumption_resolution,[status(thm)],[c_1815,c_1807]) ).
tcf(c_29690,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v3_struct_0(X0)
| r3_lattices(X0,X2,k4_filter_0(X0,X1,X3))
| ~ v3_filter_0(X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| ~ m1_subset_1(X3,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ r3_lattices(X0,k4_lattices(X0,X1,X2),X3) ),
inference(backward_subsumption_resolution,[status(thm)],[c_1816,c_1807]) ).
tcf(c_31492,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k1_funct_1(k7_finseq_1(X1,X2),X0) = k1_funct_1(X1,X0) )
| ~ v1_finseq_1(X2)
| ~ v1_finseq_1(X1)
| ~ v1_relat_1(X2)
| ~ v1_relat_1(X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X1)
| ~ m2_subset_1(X0,k1_numbers,k5_numbers)
| ~ v1_relat_1(k7_finseq_1(X1,X2))
| ~ v1_funct_1(k7_finseq_1(X1,X2))
| ~ r2_hidden(X0,k4_finseq_1(X1)) ),
inference(backward_subsumption_resolution,[status(thm)],[c_2793,c_6408]) ).
tcf(c_31508,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k1_funct_1(k7_finseq_1(X1,X2),X0) = k1_funct_1(X1,X0) )
| ~ v1_finseq_1(X2)
| ~ v1_finseq_1(X1)
| ~ v1_relat_1(X2)
| ~ v1_relat_1(X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X1)
| ~ m2_subset_1(X0,k1_numbers,k5_numbers)
| ~ v1_relat_1(k7_finseq_1(X1,X2))
| ~ r2_hidden(X0,k4_finseq_1(X1)) ),
inference(backward_subsumption_resolution,[status(thm)],[c_31492,c_6410]) ).
tcf(c_31524,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k1_funct_1(k7_finseq_1(X1,X2),X0) = k1_funct_1(X1,X0) )
| ~ v1_finseq_1(X2)
| ~ v1_finseq_1(X1)
| ~ v1_relat_1(X2)
| ~ v1_relat_1(X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X1)
| ~ m2_subset_1(X0,k1_numbers,k5_numbers)
| ~ r2_hidden(X0,k4_finseq_1(X1)) ),
inference(backward_subsumption_resolution,[status(thm)],[c_31508,c_6412]) ).
tcf(c_45740,plain,
! [X0: $i] : k4_xboole_0(X0,X0) = np__0,
inference(light_normalisation,[status(thm)],[c_419,c_1740]) ).
tcf(c_46572,plain,
k1_zfmisc_1(np__0) = k5_finsub_1(np__0),
inference(demodulation,[status(thm)],[c_1651,c_146]) ).
tcf(c_47393,plain,
! [X0: $i,X1: $i] : r2_hidden(X0,k3_tarski(k2_tarski(X1,k2_tarski(X0,X0)))),
inference(demodulation,[status(thm)],[c_89,c_49]) ).
tcf(c_47394,plain,
! [X0: $i,X1: $i] : ~ r2_hidden(X0,k4_xboole_0(X1,k2_tarski(X0,X0))),
inference(demodulation,[status(thm)],[c_1725,c_49]) ).
tcf(c_47395,plain,
! [X0: $i,X1: $i] :
( r2_hidden(X0,X1)
| r1_xboole_0(k2_tarski(X0,X0),X1) ),
inference(demodulation,[status(thm)],[c_6617,c_49]) ).
tcf(c_47396,plain,
! [X0: $i] : ~ v1_xboole_0(k3_tarski(k2_tarski(X0,k2_tarski(X0,X0)))),
inference(demodulation,[status(thm)],[c_3529,c_49]) ).
tcf(c_47397,plain,
! [X0: $i] :
( v1_membered(k2_tarski(X0,X0))
| ~ v4_ordinal2(X0) ),
inference(demodulation,[status(thm)],[c_7778,c_49]) ).
tcf(c_47398,plain,
! [X0: $i] :
( v2_membered(k2_tarski(X0,X0))
| ~ v4_ordinal2(X0) ),
inference(demodulation,[status(thm)],[c_7780,c_49]) ).
tcf(c_47399,plain,
! [X0: $i] :
( v3_membered(k2_tarski(X0,X0))
| ~ v4_ordinal2(X0) ),
inference(demodulation,[status(thm)],[c_7782,c_49]) ).
tcf(c_47400,plain,
! [X0: $i] :
( v4_membered(k2_tarski(X0,X0))
| ~ v4_ordinal2(X0) ),
inference(demodulation,[status(thm)],[c_7784,c_49]) ).
tcf(c_47401,plain,
! [X0: $i] :
( v5_membered(k2_tarski(X0,X0))
| ~ v4_ordinal2(X0) ),
inference(demodulation,[status(thm)],[c_7786,c_49]) ).
tcf(c_47402,plain,
! [X0: $i] :
( v1_membered(k2_tarski(X0,X0))
| ~ v1_int_1(X0) ),
inference(demodulation,[status(thm)],[c_7900,c_49]) ).
tcf(c_47403,plain,
! [X0: $i] :
( v2_membered(k2_tarski(X0,X0))
| ~ v1_int_1(X0) ),
inference(demodulation,[status(thm)],[c_7902,c_49]) ).
tcf(c_47404,plain,
! [X0: $i] :
( v3_membered(k2_tarski(X0,X0))
| ~ v1_int_1(X0) ),
inference(demodulation,[status(thm)],[c_7904,c_49]) ).
tcf(c_47405,plain,
! [X0: $i] :
( v4_membered(k2_tarski(X0,X0))
| ~ v1_int_1(X0) ),
inference(demodulation,[status(thm)],[c_7906,c_49]) ).
tcf(c_47406,plain,
! [X0: $i] :
( v1_membered(k2_tarski(X0,X0))
| ~ v1_xreal_0(X0) ),
inference(demodulation,[status(thm)],[c_7966,c_49]) ).
tcf(c_47407,plain,
! [X0: $i] :
( v2_membered(k2_tarski(X0,X0))
| ~ v1_xreal_0(X0) ),
inference(demodulation,[status(thm)],[c_7968,c_49]) ).
tcf(c_47408,plain,
! [X0: $i] :
( v1_membered(k2_tarski(X0,X0))
| ~ v1_xcmplx_0(X0) ),
inference(demodulation,[status(thm)],[c_7978,c_49]) ).
tcf(c_47410,plain,
! [X0: $i] : k1_setfam_1(k2_tarski(X0,X0)) = X0,
inference(demodulation,[status(thm)],[c_2533,c_49]) ).
tcf(c_47411,plain,
! [X0: $i,X1: $i] : r1_tarski(k2_tarski(X0,X0),k2_tarski(X0,X1)),
inference(demodulation,[status(thm)],[c_2683,c_49]) ).
tcf(c_47412,plain,
! [X0: $i,X1: $i] : r1_tarski(k2_tarski(X0,X0),k2_tarski(X1,X0)),
inference(demodulation,[status(thm)],[c_2684,c_49]) ).
tcf(c_47413,plain,
! [X0: $i] : r1_tarski(k2_tarski(X0,X0),k1_zfmisc_1(X0)),
inference(demodulation,[status(thm)],[c_119,c_49]) ).
tcf(c_47415,plain,
! [X0: $i] : v1_realset1(k2_tarski(X0,X0)),
inference(demodulation,[status(thm)],[c_1997,c_49]) ).
tcf(c_47416,plain,
! [X0: $i,X1: $i] : r2_wellord2(X0,k1_funct_2(k2_tarski(X1,X1),X0)),
inference(demodulation,[status(thm)],[c_3676,c_49]) ).
tcf(c_47417,plain,
k2_tarski(np__0,np__0) = k1_zfmisc_1(np__0),
inference(demodulation,[status(thm)],[c_146,c_49]) ).
tcf(c_47544,plain,
! [X0: $i,X1: $i] :
( v1_realset1(X0)
| ~ v1_xboole_0(k4_xboole_0(X0,k2_tarski(X1,X1))) ),
inference(demodulation,[status(thm)],[c_8123,c_49]) ).
tcf(c_47591,plain,
! [X0: $i,X1: $i] : r2_wellord2(k2_tarski(X0,X0),k2_tarski(X1,X1)),
inference(demodulation,[status(thm)],[c_3686,c_49]) ).
tcf(c_47692,plain,
! [X0: $i,X1: $i,X2: $i] : r1_tarski(k2_tarski(X0,X0),k2_enumset1(X0,X0,X1,X2)),
inference(demodulation,[status(thm)],[c_2630,c_49]) ).
tcf(c_47703,plain,
! [X0: $i,X1: $i,X2: $i] : r1_tarski(k1_setfam_1(k2_tarski(X0,X1)),k3_tarski(k2_tarski(X0,X2))),
inference(demodulation,[status(thm)],[c_403,c_2532]) ).
tcf(c_47704,plain,
! [X0: $i,X1: $i] : r1_xboole_0(k4_xboole_0(X0,k1_setfam_1(k2_tarski(X0,X1))),X1),
inference(demodulation,[status(thm)],[c_2438,c_2532]) ).
tcf(c_47705,plain,
! [X0: $i,X1: $i] : r1_xboole_0(k1_setfam_1(k2_tarski(X0,X1)),k5_xboole_0(X0,X1)),
inference(demodulation,[status(thm)],[c_2603,c_2532]) ).
tcf(c_47706,plain,
! [X0: $i,X1: $i] :
( v1_finset_1(k1_setfam_1(k2_tarski(X1,X0)))
| ~ v1_finset_1(X0) ),
inference(demodulation,[status(thm)],[c_7188,c_2532]) ).
tcf(c_47707,plain,
! [X0: $i,X1: $i] :
( v1_relat_1(k1_setfam_1(k2_tarski(X1,X0)))
| ~ v1_relat_1(X0) ),
inference(demodulation,[status(thm)],[c_7228,c_2532]) ).
tcf(c_47708,plain,
! [X0: $i,X1: $i] :
( v1_membered(k1_setfam_1(k2_tarski(X1,X0)))
| ~ v5_membered(X0) ),
inference(demodulation,[status(thm)],[c_7714,c_2532]) ).
tcf(c_47709,plain,
! [X0: $i,X1: $i] :
( v2_membered(k1_setfam_1(k2_tarski(X1,X0)))
| ~ v5_membered(X0) ),
inference(demodulation,[status(thm)],[c_7716,c_2532]) ).
tcf(c_47710,plain,
! [X0: $i,X1: $i] :
( v3_membered(k1_setfam_1(k2_tarski(X1,X0)))
| ~ v5_membered(X0) ),
inference(demodulation,[status(thm)],[c_7718,c_2532]) ).
tcf(c_47711,plain,
! [X0: $i,X1: $i] :
( v4_membered(k1_setfam_1(k2_tarski(X1,X0)))
| ~ v5_membered(X0) ),
inference(demodulation,[status(thm)],[c_7720,c_2532]) ).
tcf(c_47712,plain,
! [X0: $i,X1: $i] :
( v5_membered(k1_setfam_1(k2_tarski(X1,X0)))
| ~ v5_membered(X0) ),
inference(demodulation,[status(thm)],[c_7722,c_2532]) ).
tcf(c_47713,plain,
! [X0: $i,X1: $i] :
( v1_membered(k1_setfam_1(k2_tarski(X1,X0)))
| ~ v4_membered(X0) ),
inference(demodulation,[status(thm)],[c_7856,c_2532]) ).
tcf(c_47714,plain,
! [X0: $i,X1: $i] :
( v2_membered(k1_setfam_1(k2_tarski(X1,X0)))
| ~ v4_membered(X0) ),
inference(demodulation,[status(thm)],[c_7858,c_2532]) ).
tcf(c_47715,plain,
! [X0: $i,X1: $i] :
( v3_membered(k1_setfam_1(k2_tarski(X1,X0)))
| ~ v4_membered(X0) ),
inference(demodulation,[status(thm)],[c_7860,c_2532]) ).
tcf(c_47716,plain,
! [X0: $i,X1: $i] :
( v4_membered(k1_setfam_1(k2_tarski(X1,X0)))
| ~ v4_membered(X0) ),
inference(demodulation,[status(thm)],[c_7862,c_2532]) ).
tcf(c_47717,plain,
! [X0: $i,X1: $i] :
( v1_membered(k1_setfam_1(k2_tarski(X1,X0)))
| ~ v3_membered(X0) ),
inference(demodulation,[status(thm)],[c_7832,c_2532]) ).
tcf(c_47718,plain,
! [X0: $i,X1: $i] :
( v2_membered(k1_setfam_1(k2_tarski(X1,X0)))
| ~ v3_membered(X0) ),
inference(demodulation,[status(thm)],[c_7834,c_2532]) ).
tcf(c_47719,plain,
! [X0: $i,X1: $i] :
( v3_membered(k1_setfam_1(k2_tarski(X1,X0)))
| ~ v3_membered(X0) ),
inference(demodulation,[status(thm)],[c_7836,c_2532]) ).
tcf(c_47720,plain,
! [X0: $i,X1: $i] :
( v1_membered(k1_setfam_1(k2_tarski(X1,X0)))
| ~ v2_membered(X0) ),
inference(demodulation,[status(thm)],[c_7814,c_2532]) ).
tcf(c_47721,plain,
! [X0: $i,X1: $i] :
( v2_membered(k1_setfam_1(k2_tarski(X1,X0)))
| ~ v2_membered(X0) ),
inference(demodulation,[status(thm)],[c_7816,c_2532]) ).
tcf(c_47722,plain,
! [X0: $i,X1: $i] :
( v1_membered(k1_setfam_1(k2_tarski(X1,X0)))
| ~ v1_membered(X0) ),
inference(demodulation,[status(thm)],[c_7804,c_2532]) ).
tcf(c_47797,plain,
! [X0: $i,X1: $i] :
( r1_xboole_0(X0,X1)
| ~ r1_xboole_0(k1_setfam_1(k2_tarski(X0,X1)),X1) ),
inference(light_normalisation,[status(thm)],[c_7769,c_2532]) ).
tcf(c_48088,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(X0,X2)
| ~ r2_hidden(X0,k1_setfam_1(k2_tarski(X1,X2))) ),
inference(demodulation,[status(thm)],[c_6991,c_2532]) ).
tcf(c_48096,plain,
! [X0: $i,X1: $i] : k3_tarski(k2_tarski(X0,k1_setfam_1(k2_tarski(X0,X1)))) = X0,
inference(light_normalisation,[status(thm)],[c_410,c_2532]) ).
tcf(c_48112,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k2_tarski(X0,X0),X1)
| ~ r2_hidden(X0,X1) ),
inference(demodulation,[status(thm)],[c_6564,c_49]) ).
tcf(c_48215,plain,
! [X0: $i,X1: $i] : k1_card_1(k1_funct_2(k2_tarski(X0,X0),X1)) = k1_card_1(X1),
inference(demodulation,[status(thm)],[c_3677,c_49]) ).
tcf(c_48232,plain,
! [X0: $i] : k3_tarski(k2_tarski(X0,k2_tarski(X0,X0))) != X0,
inference(demodulation,[status(thm)],[c_3523,c_49]) ).
tcf(c_48233,plain,
! [X0: $i] :
( v3_ordinal1(k3_tarski(k2_tarski(X0,k2_tarski(X0,X0))))
| ~ v3_ordinal1(X0) ),
inference(demodulation,[status(thm)],[c_8212,c_49]) ).
tcf(c_48462,plain,
! [X0: $i,X1: $i] : k4_xboole_0(k2_tarski(X0,X0),k2_tarski(X1,X0)) = np__0,
inference(demodulation,[status(thm)],[c_2660,c_49]) ).
tcf(c_48463,plain,
! [X0: $i,X1: $i] : k4_xboole_0(k2_tarski(X0,X0),k2_tarski(X0,X1)) = np__0,
inference(demodulation,[status(thm)],[c_2659,c_49]) ).
tcf(c_48512,plain,
! [X0: $i,X1: $i] :
( ( k1_setfam_1(k2_tarski(X0,X1)) = np__0 )
| ~ r1_xboole_0(X0,X1) ),
inference(light_normalisation,[status(thm)],[c_6624,c_2532]) ).
tcf(c_48519,plain,
! [X0: $i,X1: $i] :
( r1_xboole_0(X0,X1)
| ( k1_setfam_1(k2_tarski(X0,X1)) != np__0 ) ),
inference(light_normalisation,[status(thm)],[c_6623,c_2532]) ).
tcf(c_48532,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r1_xboole_0(X1,X2)
| ~ r2_hidden(X0,k1_setfam_1(k2_tarski(X1,X2))) ),
inference(demodulation,[status(thm)],[c_7404,c_2532]) ).
tcf(c_48539,plain,
! [X0: $i,X1: $i] :
( r1_xboole_0(X0,X1)
| r2_hidden(sK391(X0,X1),k1_setfam_1(k2_tarski(X0,X1))) ),
inference(light_normalisation,[status(thm)],[c_7773,c_2532]) ).
tcf(c_48546,plain,
! [X0: $i] : ~ r1_xboole_0(k2_tarski(X0,X0),k2_tarski(X0,X0)),
inference(demodulation,[status(thm)],[c_2434,c_49]) ).
tcf(c_48896,plain,
! [X0: $i,X1: $i] : k4_xboole_0(X0,k4_xboole_0(X0,X1)) = k1_setfam_1(k2_tarski(X1,X0)),
inference(light_normalisation,[status(thm)],[c_421,c_2532]) ).
tcf(c_48897,plain,
! [X0: $i,X1: $i] :
( ( k1_setfam_1(k2_tarski(X1,X0)) = X0 )
| ~ r1_tarski(X0,X1) ),
inference(light_normalisation,[status(thm)],[c_6848,c_48896]) ).
tcf(c_48904,plain,
! [X0: $i,X1: $i] : k4_xboole_0(X0,k1_setfam_1(k2_tarski(X1,X0))) = k4_xboole_0(X0,X1),
inference(light_normalisation,[status(thm)],[c_400,c_48896]) ).
tcf(c_48927,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ r2_hidden(X0,k2_tarski(X1,X1)) ),
inference(demodulation,[status(thm)],[c_7024,c_49]) ).
tcf(c_48935,plain,
! [X0: $i,X1: $i] :
( m1_subset_1(k2_tarski(X0,X0),k1_zfmisc_1(X1))
| ~ r2_hidden(X0,X1) ),
inference(demodulation,[status(thm)],[c_6916,c_49]) ).
tcf(c_48956,plain,
! [X0: $i,X1: $i] : k5_xboole_0(X0,k1_setfam_1(k2_tarski(X1,X0))) = k4_xboole_0(X0,X1),
inference(light_normalisation,[status(thm)],[c_52,c_48896]) ).
tcf(c_49009,plain,
! [X0: $i] :
( ~ v3_ordinal1(X0)
| ~ v4_ordinal1(k3_tarski(k2_tarski(X0,k2_tarski(X0,X0)))) ),
inference(demodulation,[status(thm)],[c_8215,c_49]) ).
tcf(c_49200,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_xboole_0(X0,k1_setfam_1(k2_tarski(X2,X1)))
| ~ r1_tarski(X0,k5_xboole_0(X1,X2)) ),
inference(demodulation,[status(thm)],[c_8191,c_48896]) ).
tcf(c_49266,plain,
! [X0: $i,X1: $i] : k6_partfun1(k1_setfam_1(k2_tarski(X0,X1))) = k5_relat_1(k6_partfun1(X0),k6_partfun1(X1)),
inference(light_normalisation,[status(thm)],[c_2169,c_48896]) ).
tcf(c_49341,plain,
! [X0: $i,X1: $i] :
( r2_hidden(X1,X0)
| ( k4_xboole_0(X0,k2_tarski(X1,X1)) = X0 ) ),
inference(demodulation,[status(thm)],[c_6609,c_49]) ).
tcf(c_49348,plain,
! [X0: $i] :
( ~ m1_subset_1(X0,sK268)
| ~ v1_xboole_0(k4_xboole_0(sK268,k2_tarski(X0,X0))) ),
inference(demodulation,[status(thm)],[c_8034,c_49]) ).
tcf(c_49786,plain,
! [X0: $i] :
( r1_tarski(k3_tarski(k2_tarski(X0,k2_tarski(X0,X0))),k1_zfmisc_1(X0))
| ~ v3_ordinal1(X0) ),
inference(demodulation,[status(thm)],[c_8210,c_49]) ).
tcf(c_49877,plain,
! [X0: $i,X1: $i,X2: $i] :
( v2_funct_1(X0)
| ~ v1_funct_1(X0)
| ~ m2_relset_1(X0,k2_tarski(X1,X1),X2) ),
inference(demodulation,[status(thm)],[c_2851,c_49]) ).
tcf(c_49887,plain,
! [X0: $i,X1: $i] : k1_card_1(k2_tarski(X0,X0)) = k1_card_1(k2_tarski(X1,X1)),
inference(demodulation,[status(thm)],[c_2810,c_49]) ).
tcf(c_49894,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X2 )
| ~ r1_tarski(k2_tarski(X0,X1),k2_tarski(X2,X2)) ),
inference(demodulation,[status(thm)],[c_8262,c_49]) ).
tcf(c_50010,plain,
! [X0: $i,X1: $i] :
( ( k4_xboole_0(k2_tarski(X0,X0),X1) = np__0 )
| ~ r2_hidden(X0,X1) ),
inference(demodulation,[status(thm)],[c_6604,c_49]) ).
tcf(c_50348,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(X1,X2)
| ~ r1_tarski(k3_tarski(k2_tarski(X0,k2_tarski(X1,X1))),X2) ),
inference(demodulation,[status(thm)],[c_6828,c_49]) ).
tcf(c_50414,plain,
! [X0: $i,X1: $i] : k5_xboole_0(X0,k5_xboole_0(X1,k3_tarski(k2_tarski(X0,X1)))) = k1_setfam_1(k2_tarski(X1,X0)),
inference(light_normalisation,[status(thm)],[c_6560,c_48896]) ).
tcf(c_50665,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X1 )
| ( k2_tarski(X0,X0) != k2_tarski(X1,X2) ) ),
inference(demodulation,[status(thm)],[c_8268,c_49]) ).
tcf(c_50672,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X2 )
| ( k2_tarski(X0,X0) != k2_tarski(X1,X2) ) ),
inference(demodulation,[status(thm)],[c_8266,c_49]) ).
tcf(c_50679,plain,
! [X0: $i] : k2_tarski(np__0,k2_tarski(X0,X0)) = k1_zfmisc_1(k2_tarski(X0,X0)),
inference(demodulation,[status(thm)],[c_2692,c_49]) ).
tcf(c_50680,plain,
! [X0: $i,X1: $i] :
( r2_hidden(X0,X1)
| ( k4_xboole_0(k2_tarski(X0,X0),X1) = k2_tarski(X0,X0) ) ),
inference(demodulation,[status(thm)],[c_6961,c_49]) ).
tcf(c_50741,plain,
! [X0: $i,X1: $i] : r1_tarski(k3_tarski(k1_setfam_1(k2_tarski(X0,X1))),k4_xboole_0(k3_tarski(X1),k4_xboole_0(k3_tarski(X1),k3_tarski(X0)))),
inference(light_normalisation,[status(thm)],[c_2508,c_48896]) ).
tcf(c_50742,plain,
! [X0: $i,X1: $i] : r1_tarski(k3_tarski(k1_setfam_1(k2_tarski(X0,X1))),k1_setfam_1(k2_tarski(k3_tarski(X0),k3_tarski(X1)))),
inference(demodulation,[status(thm)],[c_50741,c_48896]) ).
tcf(c_50743,plain,
! [X0: $i] :
( ( k3_tarski(k3_tarski(k2_tarski(X0,k2_tarski(X0,X0)))) = X0 )
| ~ v3_ordinal1(X0) ),
inference(demodulation,[status(thm)],[c_8204,c_49]) ).
tcf(c_50758,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_xboole_0(k1_setfam_1(k2_tarski(X0,X2)),k1_setfam_1(k2_tarski(X1,X2)))
| ~ r1_xboole_0(X0,X1) ),
inference(demodulation,[status(thm)],[c_7760,c_48896]) ).
tcf(c_50765,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_xboole_0(X0,X2)
| ~ r1_tarski(X0,X1)
| ~ r1_xboole_0(X0,k1_setfam_1(k2_tarski(X1,X2))) ),
inference(demodulation,[status(thm)],[c_2452,c_48896]) ).
tcf(c_50775,plain,
! [X0: $i,X1: $i] :
( r1_xboole_0(k2_tarski(X0,X0),k2_tarski(X1,X1))
| ( X0 = X1 ) ),
inference(demodulation,[status(thm)],[c_9116,c_49]) ).
tcf(c_50878,plain,
! [X0: $i,X1: $i] :
( ~ r2_hidden(X1,X0)
| ( k4_xboole_0(X0,k2_tarski(X1,X1)) != X0 ) ),
inference(demodulation,[status(thm)],[c_6607,c_49]) ).
tcf(c_51099,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(X0,k1_setfam_1(k2_tarski(X2,X1)))
| ~ r2_hidden(X0,X2)
| ~ r2_hidden(X0,X1) ),
inference(demodulation,[status(thm)],[c_425,c_48896]) ).
tcf(c_51109,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(X0,k1_setfam_1(k2_tarski(X2,X1)))
| ~ r1_tarski(X0,X2)
| ~ r1_tarski(X0,X1) ),
inference(demodulation,[status(thm)],[c_415,c_48896]) ).
tcf(c_51119,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k1_setfam_1(k2_tarski(X2,X0)),k1_setfam_1(k2_tarski(X2,X1)))
| ~ r1_tarski(X0,X1) ),
inference(demodulation,[status(thm)],[c_6850,c_48896]) ).
tcf(c_51126,plain,
! [X0: $i] :
( ( k1_setfam_1(k2_tarski(X0,k2_zfmisc_1(k1_relat_1(X0),k2_relat_1(X0)))) = X0 )
| ~ v1_relat_1(X0) ),
inference(demodulation,[status(thm)],[c_7226,c_2707,c_48896]) ).
tcf(c_51161,plain,
! [X0: $i,X1: $i] :
( ( k3_tarski(k2_tarski(k2_tarski(X0,X0),X1)) = X1 )
| ~ r2_hidden(X0,X1) ),
inference(demodulation,[status(thm)],[c_6922,c_49]) ).
tcf(c_51168,plain,
! [X0: $i,X1: $i] :
( ( X0 = np__0 )
| ( k2_zfmisc_1(X0,k2_tarski(X1,X1)) != np__0 ) ),
inference(demodulation,[status(thm)],[c_6978,c_49]) ).
tcf(c_51175,plain,
! [X0: $i,X1: $i] :
( ( X1 = np__0 )
| ( k2_zfmisc_1(k2_tarski(X0,X0),X1) != np__0 ) ),
inference(demodulation,[status(thm)],[c_6976,c_49]) ).
tcf(c_51182,plain,
! [X0: $i,X1: $i] :
( ( X0 = np__0 )
| ( k2_relat_1(sK46(X0,X1)) = k2_tarski(X1,X1) ) ),
inference(demodulation,[status(thm)],[c_9173,c_49]) ).
tcf(c_51197,plain,
! [X0: $i,X1: $i] : k4_xboole_0(k3_tarski(k2_tarski(X0,X1)),k1_setfam_1(k2_tarski(X1,X0))) = k5_xboole_0(X0,X1),
inference(light_normalisation,[status(thm)],[c_51,c_48896]) ).
tcf(c_51198,plain,
! [X0: $i,X1: $i] :
( r2_hidden(k2_tarski(k2_tarski(X0,X0),k2_tarski(X0,X0)),k6_partfun1(X1))
| ~ r2_hidden(X0,X1) ),
inference(demodulation,[status(thm)],[c_14727,c_49]) ).
tcf(c_51205,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(X0,X2)
| ~ r2_hidden(k2_tarski(k2_tarski(X0,X1),k2_tarski(X0,X0)),k6_partfun1(X2)) ),
inference(demodulation,[status(thm)],[c_14726,c_49]) ).
tcf(c_51326,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(X1)
| v1_xboole_0(X0)
| v4_finsub_1(k1_setfam_1(k2_tarski(X1,X0)))
| ~ v4_finsub_1(X1)
| ~ v4_finsub_1(X0) ),
inference(light_normalisation,[status(thm)],[c_3598,c_48896]) ).
tcf(c_51480,plain,
! [X0: $i,X1: $i] :
( ( k1_setfam_1(k2_tarski(X1,k2_relat_1(X0))) = k2_relat_1(k8_relat_1(X1,X0)) )
| ~ v1_relat_1(X0) ),
inference(demodulation,[status(thm)],[c_7352,c_48896]) ).
tcf(c_51487,plain,
! [X0: $i,X1: $i] :
( ( k1_setfam_1(k2_tarski(X0,k2_zfmisc_1(k1_relat_1(X0),X1))) = k8_relat_1(X1,X0) )
| ~ v1_relat_1(X0) ),
inference(demodulation,[status(thm)],[c_7350,c_2707,c_48896]) ).
tcf(c_51564,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(X1)
| ( k2_tarski(X0,X0) = k2_setwiseo(X1,X0) )
| ~ m1_subset_1(X0,X1) ),
inference(demodulation,[status(thm)],[c_3020,c_49]) ).
tcf(c_51640,plain,
! [X0: $i,X1: $i] : k3_tarski(k2_tarski(k5_xboole_0(X0,X1),k1_setfam_1(k2_tarski(X1,X0)))) = k3_tarski(k2_tarski(X0,X1)),
inference(light_normalisation,[status(thm)],[c_2611,c_48896]) ).
tcf(c_51671,plain,
! [X0: $i,X1: $i] :
( ( k6_eqrel_1(X1,k6_partfun1(X1),X0) = k2_tarski(X0,X0) )
| ~ r2_hidden(X0,X1) ),
inference(demodulation,[status(thm)],[c_6940,c_49]) ).
tcf(c_51716,plain,
! [X0: $i,X1: $i] :
( ( k1_setfam_1(k2_tarski(X1,k1_relat_1(X0))) = k1_relat_1(k7_relat_1(X0,X1)) )
| ~ v1_relat_1(X0) ),
inference(demodulation,[status(thm)],[c_7246,c_48896]) ).
tcf(c_51723,plain,
! [X0: $i,X1: $i] :
( ( k1_setfam_1(k2_tarski(X0,k2_zfmisc_1(X1,k2_relat_1(X0)))) = k7_relat_1(X0,X1) )
| ~ v1_relat_1(X0) ),
inference(demodulation,[status(thm)],[c_7266,c_2707,c_48896]) ).
tcf(c_51736,plain,
! [X0: $i,X1: $i] :
( v1_realset1(X1)
| ( k2_tarski(X0,X0) = k5_realset1(X1,X0) )
| ~ m1_subset_1(X0,X1) ),
inference(demodulation,[status(thm)],[c_1979,c_49]) ).
tcf(c_51814,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(X2,X0)
| r1_tarski(X0,k4_xboole_0(X1,k2_tarski(X2,X2)))
| ~ r1_tarski(X0,X1) ),
inference(demodulation,[status(thm)],[c_1726,c_49]) ).
tcf(c_51964,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_relat_1(X2)
| ( k2_tarski(k2_tarski(X0,X1),k2_tarski(X0,X0)) != sK146(X2) ) ),
inference(demodulation,[status(thm)],[c_6975,c_49]) ).
tcf(c_52023,plain,
! [X0: $i,X1: $i,X2: $i] : k4_xboole_0(X0,k4_xboole_0(X0,k4_xboole_0(X1,X2))) = k4_xboole_0(k1_setfam_1(k2_tarski(X1,X0)),X2),
inference(light_normalisation,[status(thm)],[c_399,c_48896]) ).
tcf(c_52024,plain,
! [X0: $i,X1: $i,X2: $i] : k4_xboole_0(k1_setfam_1(k2_tarski(X0,X1)),X2) = k1_setfam_1(k2_tarski(k4_xboole_0(X0,X2),X1)),
inference(demodulation,[status(thm)],[c_52023,c_48896]) ).
tcf(c_52025,plain,
! [X0: $i,X1: $i] : k4_xboole_0(k1_zfmisc_1(X0),k4_xboole_0(k1_zfmisc_1(X0),k1_zfmisc_1(X1))) = k1_zfmisc_1(k1_setfam_1(k2_tarski(X1,X0))),
inference(light_normalisation,[status(thm)],[c_387,c_48896]) ).
tcf(c_52026,plain,
! [X0: $i,X1: $i] : k1_setfam_1(k2_tarski(k1_zfmisc_1(X0),k1_zfmisc_1(X1))) = k1_zfmisc_1(k1_setfam_1(k2_tarski(X0,X1))),
inference(demodulation,[status(thm)],[c_52025,c_48896]) ).
tcf(c_52027,plain,
! [X0: $i,X1: $i] : k4_xboole_0(k5_finsub_1(X0),k4_xboole_0(k5_finsub_1(X0),k5_finsub_1(X1))) = k5_finsub_1(k1_setfam_1(k2_tarski(X1,X0))),
inference(light_normalisation,[status(thm)],[c_363,c_48896]) ).
tcf(c_52028,plain,
! [X0: $i,X1: $i] : k1_setfam_1(k2_tarski(k5_finsub_1(X0),k5_finsub_1(X1))) = k5_finsub_1(k1_setfam_1(k2_tarski(X0,X1))),
inference(demodulation,[status(thm)],[c_52027,c_48896]) ).
tcf(c_52126,plain,
! [X0: $i,X1: $i] :
( m1_subset_1(k2_tarski(X0,X0),k1_zfmisc_1(X1))
| ( X1 = np__0 )
| ~ m1_subset_1(X0,X1) ),
inference(demodulation,[status(thm)],[c_109,c_49]) ).
tcf(c_52144,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X1 )
| ~ r2_hidden(k2_tarski(k2_tarski(X0,X1),k2_tarski(X0,X0)),k6_partfun1(X2)) ),
inference(demodulation,[status(thm)],[c_14725,c_49]) ).
tcf(c_52253,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(X1)
| v1_xboole_0(X0)
| ~ v4_finsub_1(X1)
| ~ v4_finsub_1(X0)
| ~ v1_xboole_0(k1_setfam_1(k2_tarski(X0,X1))) ),
inference(light_normalisation,[status(thm)],[c_3597,c_48896]) ).
tcf(c_52315,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k1_setfam_1(k2_tarski(X1,k1_relat_1(X0))),k9_relat_1(k4_relat_1(X0),k9_relat_1(X0,X1)))
| ~ v1_relat_1(X0) ),
inference(demodulation,[status(thm)],[c_7364,c_48896]) ).
tcf(c_52322,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k1_setfam_1(k2_tarski(X1,k2_relat_1(X0))),k10_relat_1(k4_relat_1(X0),k10_relat_1(X0,X1)))
| ~ v1_relat_1(X0) ),
inference(demodulation,[status(thm)],[c_7362,c_48896]) ).
tcf(c_52339,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k8_relat_1(k1_setfam_1(k2_tarski(X1,X2)),X0) = k8_relat_1(X2,k8_relat_1(X1,X0)) )
| ~ v1_relat_1(X0) ),
inference(demodulation,[status(thm)],[c_7346,c_48896]) ).
tcf(c_52386,plain,
! [X0: $i,X1: $i] :
( ( k9_relat_1(X0,k1_setfam_1(k2_tarski(X1,k1_relat_1(X0)))) = k9_relat_1(X0,X1) )
| ~ v1_relat_1(X0) ),
inference(demodulation,[status(thm)],[c_7326,c_48896]) ).
tcf(c_52393,plain,
! [X0: $i,X1: $i] :
( ( k10_relat_1(X0,k1_setfam_1(k2_tarski(X1,k2_relat_1(X0)))) = k10_relat_1(X0,X1) )
| ~ v1_relat_1(X0) ),
inference(demodulation,[status(thm)],[c_7310,c_48896]) ).
tcf(c_52408,plain,
! [X0: $i,X1: $i] :
( r2_hidden(X1,k2_relat_1(X0))
| ( k10_relat_1(X0,k2_tarski(X1,X1)) = np__0 )
| ~ v1_relat_1(X0) ),
inference(demodulation,[status(thm)],[c_3103,c_49]) ).
tcf(c_52478,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r2_hidden(X0,X2)
| ( k4_xboole_0(k2_tarski(X0,X1),X2) != k2_tarski(X0,X0) ) ),
inference(demodulation,[status(thm)],[c_6987,c_49]) ).
tcf(c_52485,plain,
! [X0: $i,X1: $i,X2: $i] : k2_enumset1(X0,X0,X1,X2) = k2_enumset1(X0,X1,X2,X2),
inference(demodulation,[status(thm)],[c_2638,c_49,c_3627]) ).
tcf(c_52523,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k7_relat_1(X0,k1_setfam_1(k2_tarski(X1,X2))) = k7_relat_1(k7_relat_1(X0,X2),X1) )
| ~ v1_relat_1(X0) ),
inference(demodulation,[status(thm)],[c_7262,c_48896]) ).
tcf(c_52546,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k1_setfam_1(k2_tarski(k10_relat_1(X0,X1),X2)) = k10_relat_1(k7_relat_1(X0,X2),X1) )
| ~ v1_relat_1(X0) ),
inference(demodulation,[status(thm)],[c_7240,c_48896]) ).
tcf(c_52553,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| ( k2_tarski(sK320(X0),sK320(X0)) = X0 )
| ~ v1_realset1(X0) ),
inference(demodulation,[status(thm)],[c_1998,c_49]) ).
tcf(c_52563,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| v1_xboole_0(k4_xboole_0(X0,k2_tarski(sK319(X0),sK319(X0))))
| ~ v1_realset1(X0) ),
inference(demodulation,[status(thm)],[c_1994,c_49]) ).
tcf(c_52573,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| v1_xboole_0(k4_xboole_0(X0,k2_tarski(sK318(X0),sK318(X0))))
| ~ v1_realset1(X0) ),
inference(demodulation,[status(thm)],[c_1992,c_49]) ).
tcf(c_52583,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| v1_xboole_0(k4_xboole_0(X0,k2_tarski(sK317(X0),sK317(X0))))
| ~ v1_realset1(X0) ),
inference(demodulation,[status(thm)],[c_1990,c_49]) ).
tcf(c_52617,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(X0,k4_xboole_0(X1,k2_tarski(X2,X2)))
| ( X0 = X2 )
| ~ r2_hidden(X0,X1) ),
inference(demodulation,[status(thm)],[c_1723,c_49]) ).
tcf(c_52742,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r2_hidden(X1,X3)
| ~ r2_hidden(k2_tarski(k2_tarski(X0,X1),k2_tarski(X0,X0)),k2_zfmisc_1(X2,X3)) ),
inference(demodulation,[status(thm)],[c_7009,c_49]) ).
tcf(c_52749,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r2_hidden(X0,X2)
| ~ r2_hidden(k2_tarski(k2_tarski(X0,X1),k2_tarski(X0,X0)),k2_zfmisc_1(X2,X3)) ),
inference(demodulation,[status(thm)],[c_6993,c_49]) ).
tcf(c_52804,plain,
! [X0: $i,X1: $i] : r1_tarski(k1_zfmisc_1(k4_xboole_0(X0,X1)),k3_tarski(k2_tarski(k1_zfmisc_1(np__0),k4_xboole_0(k1_zfmisc_1(X0),k1_zfmisc_1(X1))))),
inference(demodulation,[status(thm)],[c_476,c_49,c_47417]) ).
tcf(c_52805,plain,
! [X0: $i,X1: $i,X2: $i] : r1_tarski(k3_tarski(k2_tarski(k1_setfam_1(k2_tarski(X0,X1)),k4_xboole_0(X1,k4_xboole_0(X1,X2)))),k3_tarski(k2_tarski(X0,X2))),
inference(light_normalisation,[status(thm)],[c_401,c_48896]) ).
tcf(c_52806,plain,
! [X0: $i,X1: $i,X2: $i] : r1_tarski(k3_tarski(k2_tarski(k1_setfam_1(k2_tarski(X0,X1)),k1_setfam_1(k2_tarski(X2,X1)))),k3_tarski(k2_tarski(X0,X2))),
inference(demodulation,[status(thm)],[c_52805,c_48896]) ).
tcf(c_52807,plain,
! [X0: $i,X1: $i,X2: $i] : k3_tarski(k2_tarski(k4_xboole_0(X0,X1),k1_setfam_1(k2_tarski(X2,X0)))) = k4_xboole_0(X0,k4_xboole_0(X1,X2)),
inference(demodulation,[status(thm)],[c_396,c_48896]) ).
tcf(c_52809,plain,
! [X0: $i,X1: $i,X2: $i] : k3_tarski(k2_tarski(k4_xboole_0(X0,X1),k4_xboole_0(X0,X2))) = k4_xboole_0(X0,k1_setfam_1(k2_tarski(X2,X1))),
inference(demodulation,[status(thm)],[c_394,c_48896]) ).
tcf(c_52842,plain,
! [X0: $i,X1: $i] :
( r2_hidden(sK47(X1,X0),X1)
| ( X1 = np__0 )
| ( k2_tarski(X0,X0) = X1 ) ),
inference(demodulation,[status(thm)],[c_132,c_49]) ).
tcf(c_52852,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(X2,X0)
| r1_tarski(X0,X1)
| ~ r1_tarski(X0,k3_tarski(k2_tarski(X1,k2_tarski(X2,X2)))) ),
inference(demodulation,[status(thm)],[c_91,c_49]) ).
tcf(c_52862,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_xboole_0(X1)
| r1_tarski(k2_zfmisc_1(k2_tarski(X0,X0),X2),k2_zfmisc_1(X1,X2))
| ~ m1_subset_1(X0,X1) ),
inference(demodulation,[status(thm)],[c_84,c_49]) ).
tcf(c_52884,plain,
! [X0: $i,X1: $i] :
( v3_realset2(X1)
| v3_struct_0(X1)
| ~ l1_struct_0(X1)
| ( k2_tarski(X0,X0) != u1_struct_0(X1) ) ),
inference(demodulation,[status(thm)],[c_61,c_49]) ).
tcf(c_53020,plain,
! [X0: $i] :
( ( k3_tarski(k2_tarski(X0,k2_tarski(X0,X0))) = k1_nat_1(X0,np__1) )
| ~ m2_subset_1(X0,k1_numbers,k5_numbers) ),
inference(demodulation,[status(thm)],[c_8028,c_49]) ).
tcf(c_53077,plain,
! [X0: $i,X1: $i] :
( v1_relat_2(k1_setfam_1(k2_tarski(X1,X0)))
| ~ v1_relat_2(X1)
| ~ v1_relat_2(X0)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0) ),
inference(light_normalisation,[status(thm)],[c_3360,c_48896]) ).
tcf(c_53196,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(X1,X0)
| ( k1_setfam_1(k2_tarski(X0,k2_tarski(X1,X2))) != k2_tarski(X1,X2) ) ),
inference(demodulation,[status(thm)],[c_6997,c_48896]) ).
tcf(c_53443,plain,
! [X0: $i,X1: $i] :
( v8_relat_2(k1_setfam_1(k2_tarski(X1,X0)))
| ~ v8_relat_2(X1)
| ~ v8_relat_2(X0)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0) ),
inference(light_normalisation,[status(thm)],[c_1150,c_48896]) ).
tcf(c_53459,plain,
! [X0: $i,X1: $i] :
( v3_relat_2(k1_setfam_1(k2_tarski(X1,X0)))
| ~ v3_relat_2(X1)
| ~ v3_relat_2(X0)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0) ),
inference(light_normalisation,[status(thm)],[c_1143,c_48896]) ).
tcf(c_53561,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP9(X2)
| v1_funct_1(X2)
| ( k2_tarski(k2_tarski(X0,X1),k2_tarski(X0,X0)) != sK133(X2) ) ),
inference(demodulation,[status(thm)],[c_770,c_49]) ).
tcf(c_53571,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP9(X2)
| v1_relat_1(X2)
| ( k2_tarski(k2_tarski(X0,X1),k2_tarski(X0,X0)) != sK133(X2) ) ),
inference(demodulation,[status(thm)],[c_768,c_49]) ).
tcf(c_53607,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(X0,X1)
| ( X0 = X2 )
| ~ r2_hidden(X0,k3_tarski(k2_tarski(X1,k2_tarski(X2,X2)))) ),
inference(demodulation,[status(thm)],[c_90,c_49]) ).
tcf(c_53617,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k3_tarski(k2_tarski(X0,k2_tarski(X2,X2))),X1)
| ~ r2_hidden(X2,X1)
| ~ r1_tarski(X0,X1) ),
inference(demodulation,[status(thm)],[c_85,c_49]) ).
tcf(c_53643,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(X0,k5_xboole_0(X2,X1))
| ~ r1_tarski(k4_xboole_0(X0,X2),X1)
| ~ r1_xboole_0(X0,k1_setfam_1(k2_tarski(X1,X2))) ),
inference(demodulation,[status(thm)],[c_14248,c_48896]) ).
tcf(c_53841,plain,
! [X0: $i,X1: $i] :
( ~ v1_relat_1(X0)
| ~ r2_hidden(X1,k2_relat_1(X0))
| ( k10_relat_1(X0,k2_tarski(X1,X1)) != np__0 ) ),
inference(demodulation,[status(thm)],[c_3104,c_49]) ).
tcf(c_53885,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(X2,X1)
| ( k4_xboole_0(k2_tarski(X2,X0),X1) = k2_tarski(X2,X2) )
| ~ r2_hidden(X0,X1) ),
inference(demodulation,[status(thm)],[c_2670,c_49]) ).
tcf(c_53895,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : k3_tarski(k2_tarski(k2_tarski(X0,X0),k2_enumset1(X1,X1,X2,X3))) = k2_enumset1(X0,X1,X2,X3),
inference(demodulation,[status(thm)],[c_2637,c_49]) ).
tcf(c_53896,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k4_xboole_0(X0,k4_xboole_0(k4_xboole_0(X0,X1),X2)) = k4_xboole_0(X0,k4_xboole_0(X0,X2)) )
| ~ r1_xboole_0(X0,X1) ),
inference(light_normalisation,[status(thm)],[c_7756,c_484]) ).
tcf(c_53897,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k4_xboole_0(X0,k4_xboole_0(k4_xboole_0(X0,X1),X2)) = k1_setfam_1(k2_tarski(X2,X0)) )
| ~ r1_xboole_0(X0,X1) ),
inference(demodulation,[status(thm)],[c_53896,c_48896]) ).
tcf(c_53904,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_xboole_0(k2_zfmisc_1(X2,k2_tarski(X0,X0)),k2_zfmisc_1(X3,k2_tarski(X1,X1)))
| ( X0 = X1 ) ),
inference(demodulation,[status(thm)],[c_9114,c_49]) ).
tcf(c_53911,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_xboole_0(k2_zfmisc_1(k2_tarski(X0,X0),X2),k2_zfmisc_1(k2_tarski(X1,X1),X3))
| ( X0 = X1 ) ),
inference(demodulation,[status(thm)],[c_9112,c_49]) ).
tcf(c_53918,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(X1,k3_relat_1(X2))
| ~ v1_relat_1(X2)
| ~ r2_hidden(k2_tarski(k2_tarski(X0,X1),k2_tarski(X0,X0)),X2) ),
inference(demodulation,[status(thm)],[c_2308,c_49]) ).
tcf(c_53928,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(X0,k3_relat_1(X2))
| ~ v1_relat_1(X2)
| ~ r2_hidden(k2_tarski(k2_tarski(X0,X1),k2_tarski(X0,X0)),X2) ),
inference(demodulation,[status(thm)],[c_2307,c_49]) ).
tcf(c_53960,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| ~ v1_funct_1(X0)
| ~ m1_relset_1(X0,np__0,np__0)
| ~ v1_funct_2(X0,np__0,np__0) ),
inference(demodulation,[status(thm)],[c_2078,c_619]) ).
tcf(c_54021,plain,
! [X0: $i] : k2_tarski(X0,X0) != np__0,
inference(demodulation,[status(thm)],[c_1729,c_49,c_45740]) ).
tcf(c_54022,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( k4_xboole_0(k2_tarski(X0,X0),k2_tarski(X1,X1)) != np__0 ) ),
inference(demodulation,[status(thm)],[c_8040,c_49]) ).
tcf(c_54232,plain,
! [X0: $i] :
( v1_funct_1(X0)
| r2_hidden(k2_tarski(k2_tarski(sK134(X0),sK134(X0)),k2_tarski(sK134(X0),sK136(X0))),X0) ),
inference(demodulation,[status(thm)],[c_6971,c_49,c_2707]) ).
tcf(c_54239,plain,
! [X0: $i] :
( v1_funct_1(X0)
| r2_hidden(k2_tarski(k2_tarski(sK134(X0),sK134(X0)),k2_tarski(sK134(X0),sK135(X0))),X0) ),
inference(demodulation,[status(thm)],[c_6969,c_49,c_2707]) ).
tcf(c_54246,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(X1,k2_relat_1(X2))
| ~ v1_relat_1(X2)
| ~ r2_hidden(k2_tarski(k2_tarski(X0,X1),k2_tarski(X0,X0)),X2) ),
inference(demodulation,[status(thm)],[c_737,c_49]) ).
tcf(c_54256,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(X0,k1_relat_1(X2))
| ~ v1_relat_1(X2)
| ~ r2_hidden(k2_tarski(k2_tarski(X0,X1),k2_tarski(X0,X0)),X2) ),
inference(demodulation,[status(thm)],[c_6393,c_49]) ).
tcf(c_54298,plain,
! [X0: $i,X1: $i,X2: $i] : k3_tarski(k2_tarski(X0,k3_tarski(k2_tarski(X1,k3_tarski(k2_tarski(X2,X1)))))) = k3_tarski(k2_tarski(X0,k3_tarski(k2_tarski(X2,X1)))),
inference(demodulation,[status(thm)],[c_499,c_500]) ).
tcf(c_54311,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_tarski(k1_setfam_1(k2_tarski(X2,X0)),k1_setfam_1(k2_tarski(X3,X1)))
| ~ r1_tarski(X2,X3)
| ~ r1_tarski(X0,X1) ),
inference(demodulation,[status(thm)],[c_405,c_48896]) ).
tcf(c_54321,plain,
! [X0: $i,X1: $i,X2: $i] : k4_xboole_0(k4_xboole_0(X0,X1),k4_xboole_0(k4_xboole_0(X0,X1),k4_xboole_0(X0,X2))) = k4_xboole_0(k4_xboole_0(X0,X1),X2),
inference(light_normalisation,[status(thm)],[c_395,c_484]) ).
tcf(c_54322,plain,
! [X0: $i,X1: $i,X2: $i] : k4_xboole_0(k1_setfam_1(k2_tarski(X0,k4_xboole_0(X0,X1))),X2) = k4_xboole_0(k4_xboole_0(X0,X1),X2),
inference(demodulation,[status(thm)],[c_54321,c_48896,c_52024]) ).
tcf(c_54483,plain,
! [X0: $i,X1: $i] :
( r2_hidden(sK48(X0,X1),X1)
| ( sK48(X0,X1) = X0 )
| ( k2_tarski(X0,X0) = X1 ) ),
inference(demodulation,[status(thm)],[c_148,c_49]) ).
tcf(c_54493,plain,
! [X0: $i,X1: $i] :
( ( X0 = np__0 )
| ( k2_tarski(X1,X1) = X0 )
| ( sK47(X0,X1) != X1 ) ),
inference(demodulation,[status(thm)],[c_133,c_49]) ).
tcf(c_54517,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : k3_tarski(k2_tarski(k2_enumset1(X0,X0,X1,X2),k2_tarski(X3,X3))) = k2_enumset1(X0,X1,X2,X3),
inference(demodulation,[status(thm)],[c_50,c_49]) ).
tcf(c_54518,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r2_hidden(X1,X2)
| ~ v1_relat_1(X3)
| ~ r2_hidden(k2_tarski(k2_tarski(X0,X1),k2_tarski(X0,X0)),k8_relat_1(X2,X3)) ),
inference(demodulation,[status(thm)],[c_16010,c_49]) ).
tcf(c_54528,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r2_hidden(X0,X3)
| ~ v1_relat_1(X2)
| ~ r2_hidden(k2_tarski(k2_tarski(X0,X1),k2_tarski(X0,X0)),k7_relat_1(X2,X3)) ),
inference(demodulation,[status(thm)],[c_16001,c_49]) ).
tcf(c_54548,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k5_subset_1(X1,X2,X0) = k1_setfam_1(k2_tarski(X0,X2)) )
| ~ r1_tarski(X2,X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(X1)) ),
inference(demodulation,[status(thm)],[c_14230,c_48896]) ).
tcf(c_54584,plain,
! [X0: $i,X1: $i] :
( r2_hidden(k3_tarski(k2_tarski(X0,k2_tarski(X0,X0))),X1)
| ~ v4_ordinal1(X1)
| ~ v3_ordinal1(X1)
| ~ r2_hidden(X0,X1) ),
inference(demodulation,[status(thm)],[c_6397,c_49]) ).
tcf(c_54597,plain,
! [X0: $i,X1: $i] :
( ( k2_tarski(sK562(X0),sK562(X0)) = X0 )
| ~ r2_wellord2(X0,k2_tarski(X1,X1)) ),
inference(demodulation,[status(thm)],[c_8392,c_49]) ).
tcf(c_54604,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_xboole_0(X1)
| m1_subset_1(k1_setfam_1(k2_tarski(X2,X0)),X1)
| ~ v4_finsub_1(X1)
| ~ m1_subset_1(X2,X1)
| ~ m1_subset_1(X0,X1) ),
inference(demodulation,[status(thm)],[c_3601,c_48896]) ).
tcf(c_54634,plain,
! [X0: $i] :
( ( k4_xboole_0(X0,k2_tarski(X0,X0)) = X0 )
| ~ v3_ordinal1(X0) ),
inference(demodulation,[status(thm)],[c_8208,c_49,c_485]) ).
tcf(c_54649,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k1_setfam_1(k2_tarski(k9_relat_1(X0,X1),X2)) = k9_relat_1(k8_relat_1(X2,X0),X1) )
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0) ),
inference(demodulation,[status(thm)],[c_3265,c_48896]) ).
tcf(c_54771,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( k4_xboole_0(k2_tarski(X0,X1),k2_tarski(X1,X1)) = k2_tarski(X0,X0) ) ),
inference(demodulation,[status(thm)],[c_9121,c_49]) ).
tcf(c_54778,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k2_tarski(X0,X1) = k2_tarski(X2,X2) )
| ~ r1_tarski(k2_tarski(X0,X1),k2_tarski(X2,X2)) ),
inference(demodulation,[status(thm)],[c_8264,c_49]) ).
tcf(c_54785,plain,
! [X0: $i,X1: $i] :
( ( k1_setfam_1(k2_tarski(X1,k2_tarski(X0,X0))) = k2_tarski(X0,X0) )
| ~ r2_hidden(X0,X1) ),
inference(demodulation,[status(thm)],[c_6948,c_49,c_48896]) ).
tcf(c_54792,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(X1,X2)
| ( X0 = X1 )
| ( k4_xboole_0(k2_tarski(X0,X1),X2) != k2_tarski(X0,X0) ) ),
inference(demodulation,[status(thm)],[c_2673,c_49]) ).
tcf(c_54802,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : v1_relat_1(k2_tarski(k2_tarski(k2_tarski(X0,X1),k2_tarski(X0,X0)),k2_tarski(k2_tarski(X2,X3),k2_tarski(X2,X2)))),
inference(demodulation,[status(thm)],[c_2653,c_49]) ).
tcf(c_54811,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( k5_xboole_0(k2_tarski(X0,X0),k2_tarski(X1,X1)) = k2_tarski(X0,X1) ) ),
inference(demodulation,[status(thm)],[c_9119,c_49]) ).
tcf(c_54908,plain,
! [X0: $i,X1: $i] :
( ( k1_relat_1(k5_relat_1(k6_partfun1(X1),X0)) = k1_setfam_1(k2_tarski(X1,k1_relat_1(X0))) )
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0) ),
inference(demodulation,[status(thm)],[c_2176,c_48896]) ).
tcf(c_54928,plain,
! [X0: $i] :
( v2_binop_1(X0,np__0)
| ~ v1_funct_1(X0)
| ~ m1_relset_1(X0,np__0,np__0)
| ~ v1_funct_2(X0,np__0,np__0) ),
inference(demodulation,[status(thm)],[c_2080,c_619]) ).
tcf(c_54941,plain,
! [X0: $i] :
( v1_binop_1(X0,np__0)
| ~ v1_funct_1(X0)
| ~ m1_relset_1(X0,np__0,np__0)
| ~ v1_funct_2(X0,np__0,np__0) ),
inference(demodulation,[status(thm)],[c_2079,c_619]) ).
tcf(c_55155,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(sK63(X1,X0,X2),X2)
| r2_hidden(sK63(X1,X0,X2),X0)
| ( k1_setfam_1(k2_tarski(X0,X1)) = X2 ) ),
inference(light_normalisation,[status(thm)],[c_424,c_48896]) ).
tcf(c_55165,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(sK63(X1,X0,X2),X2)
| r2_hidden(sK63(X1,X0,X2),X1)
| ( k1_setfam_1(k2_tarski(X0,X1)) = X2 ) ),
inference(light_normalisation,[status(thm)],[c_423,c_48896]) ).
tcf(c_55175,plain,
! [X0: $i,X1: $i,X2: $i] : k4_xboole_0(k1_setfam_1(k2_tarski(X0,X1)),k4_xboole_0(X1,k4_xboole_0(X1,X2))) = k4_xboole_0(X1,k4_xboole_0(X1,k4_xboole_0(X0,X2))),
inference(light_normalisation,[status(thm)],[c_398,c_48896]) ).
tcf(c_55176,plain,
! [X0: $i,X1: $i,X2: $i] : k4_xboole_0(k1_setfam_1(k2_tarski(X0,X1)),k1_setfam_1(k2_tarski(X2,X1))) = k4_xboole_0(k1_setfam_1(k2_tarski(X0,X1)),X2),
inference(demodulation,[status(thm)],[c_55175,c_48896,c_52024]) ).
tcf(c_55178,plain,
! [X0: $i,X1: $i] :
( r2_hidden(X0,X1)
| ( k1_setfam_1(k2_tarski(k2_tarski(X0,X0),X1)) != k2_tarski(X0,X0) ) ),
inference(demodulation,[status(thm)],[c_7394,c_49,c_48896]) ).
tcf(c_55185,plain,
! [X0: $i,X1: $i] :
( ( k1_setfam_1(k2_tarski(k2_tarski(X0,X0),X1)) = k2_tarski(X0,X0) )
| ~ r2_hidden(X0,X1) ),
inference(demodulation,[status(thm)],[c_6924,c_49,c_48896]) ).
tcf(c_55214,plain,
! [X0: $i,X1: $i] :
( ( X0 = np__0 )
| ( k2_tarski(X1,X1) = X0 )
| ~ r1_tarski(X0,k2_tarski(X1,X1)) ),
inference(demodulation,[status(thm)],[c_136,c_49]) ).
tcf(c_55256,plain,
! [X0: $i] :
( v4_finsub_1(X0)
| ~ r2_hidden(k5_xboole_0(sK408(X0),sK409(X0)),X0)
| ~ r2_hidden(k1_setfam_1(k2_tarski(sK408(X0),sK409(X0))),X0) ),
inference(demodulation,[status(thm)],[c_15954,c_2707,c_48896]) ).
tcf(c_55358,plain,
! [X0: $i] :
( v4_ordinal1(X0)
| ~ v3_ordinal1(X0)
| ~ r2_hidden(k3_tarski(k2_tarski(sK554(X0),k2_tarski(sK554(X0),sK554(X0)))),X0) ),
inference(demodulation,[status(thm)],[c_3518,c_49]) ).
tcf(c_55368,plain,
! [X0: $i] :
( v4_ordinal1(X0)
| ( k3_tarski(k2_tarski(sK553(X0),k2_tarski(sK553(X0),sK553(X0)))) = X0 )
| ~ v3_ordinal1(X0) ),
inference(demodulation,[status(thm)],[c_3515,c_49]) ).
tcf(c_55436,plain,
! [X0: $i,X1: $i] :
( ( k1_setfam_1(k2_tarski(k9_relat_1(X0,k1_relat_1(X0)),X1)) = k9_relat_1(X0,k10_relat_1(X0,X1)) )
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0) ),
inference(demodulation,[status(thm)],[c_3097,c_48896]) ).
tcf(c_55553,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_xboole_0(k3_tarski(k2_tarski(X0,k3_tarski(k2_tarski(X2,X3)))),X1)
| ~ r1_xboole_0(X3,X1)
| ~ r1_xboole_0(X2,X1)
| ~ r1_xboole_0(X0,X1) ),
inference(demodulation,[status(thm)],[c_2435,c_500]) ).
tcf(c_55566,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k3_relat_1(k1_setfam_1(k2_tarski(X1,X0))),k4_xboole_0(k3_relat_1(X0),k4_xboole_0(k3_relat_1(X0),k3_relat_1(X1))))
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0) ),
inference(light_normalisation,[status(thm)],[c_2303,c_48896]) ).
tcf(c_55567,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k3_relat_1(k1_setfam_1(k2_tarski(X1,X0))),k1_setfam_1(k2_tarski(k3_relat_1(X1),k3_relat_1(X0))))
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0) ),
inference(demodulation,[status(thm)],[c_55566,c_48896]) ).
tcf(c_55595,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r2_hidden(X0,X2)
| ~ v1_relat_1(X3)
| ~ r2_hidden(k2_tarski(k2_tarski(X0,X1),k2_tarski(X0,X0)),k5_relat_1(k6_partfun1(X2),X3)) ),
inference(demodulation,[status(thm)],[c_2199,c_49]) ).
tcf(c_55605,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r2_hidden(X1,X3)
| ~ v1_relat_1(X2)
| ~ r2_hidden(k2_tarski(k2_tarski(X0,X1),k2_tarski(X0,X0)),k5_relat_1(X2,k6_partfun1(X3))) ),
inference(demodulation,[status(thm)],[c_2196,c_49]) ).
tcf(c_55685,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_realset1(X1)
| v1_funct_1(k1_realset1(X0,k4_xboole_0(X1,k2_tarski(X2,X2))))
| ~ m1_subset_1(X2,X1)
| ~ m3_realset1(X0,X1,X2) ),
inference(demodulation,[status(thm)],[c_998,c_49]) ).
tcf(c_55722,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r2_hidden(k2_tarski(k2_tarski(X0,X2),k2_tarski(X0,X0)),k2_zfmisc_1(X1,X3))
| ~ r2_hidden(X2,X3)
| ~ r2_hidden(X0,X1) ),
inference(demodulation,[status(thm)],[c_809,c_49]) ).
tcf(c_55732,plain,
! [X0: $i,X1: $i] :
( r2_hidden(k2_tarski(k2_tarski(X0,X0),k2_tarski(X0,sK141(X1,X0))),X1)
| ~ v1_relat_1(X1)
| ~ r2_hidden(X0,k1_relat_1(X1)) ),
inference(demodulation,[status(thm)],[c_779,c_49,c_2707]) ).
tcf(c_55742,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(X2,k2_zfmisc_1(sK125(X2),sK126(X2)))
| ( k2_tarski(k2_tarski(X0,X1),k2_tarski(X0,X0)) != sK124(X2) ) ),
inference(demodulation,[status(thm)],[c_7500,c_49]) ).
tcf(c_55830,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k1_relat_1(k1_setfam_1(k2_tarski(X1,X0))),k4_xboole_0(k1_relat_1(X0),k4_xboole_0(k1_relat_1(X0),k1_relat_1(X1))))
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0) ),
inference(light_normalisation,[status(thm)],[c_376,c_48896]) ).
tcf(c_55831,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k1_relat_1(k1_setfam_1(k2_tarski(X1,X0))),k1_setfam_1(k2_tarski(k1_relat_1(X1),k1_relat_1(X0))))
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0) ),
inference(demodulation,[status(thm)],[c_55830,c_48896]) ).
tcf(c_55841,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k2_relat_1(k1_setfam_1(k2_tarski(X1,X0))),k4_xboole_0(k2_relat_1(X0),k4_xboole_0(k2_relat_1(X0),k2_relat_1(X1))))
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0) ),
inference(light_normalisation,[status(thm)],[c_374,c_48896]) ).
tcf(c_55842,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k2_relat_1(k1_setfam_1(k2_tarski(X1,X0))),k1_setfam_1(k2_tarski(k2_relat_1(X1),k2_relat_1(X0))))
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0) ),
inference(demodulation,[status(thm)],[c_55841,c_48896]) ).
tcf(c_55870,plain,
! [X0: $i,X1: $i] :
( ( k2_tarski(X0,X0) = X1 )
| ~ r2_hidden(sK48(X0,X1),X1)
| ( sK48(X0,X1) != X0 ) ),
inference(demodulation,[status(thm)],[c_147,c_49]) ).
tcf(c_55880,plain,
! [X0: $i,X1: $i] : r2_hidden(k2_tarski(k2_tarski(X0,X1),k2_tarski(X0,X0)),k2_zfmisc_1(k2_tarski(X0,X0),k2_tarski(X1,X1))),
inference(demodulation,[status(thm)],[c_140,c_49]) ).
tcf(c_55881,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(k2_tarski(k2_tarski(X2,X0),k2_tarski(X2,X2)),k2_zfmisc_1(k2_tarski(X2,X2),X1))
| ~ r2_hidden(X0,X1) ),
inference(demodulation,[status(thm)],[c_6920,c_49]) ).
tcf(c_55888,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(k2_tarski(k2_tarski(X0,X2),k2_tarski(X0,X0)),k2_zfmisc_1(X1,k2_tarski(X2,X2)))
| ~ r2_hidden(X0,X1) ),
inference(demodulation,[status(thm)],[c_6918,c_49]) ).
tcf(c_55895,plain,
! [X0: $i] :
( v3_struct_0(X0)
| ( k2_tarski(sK42(X0),sK42(X0)) = u1_struct_0(X0) )
| ~ l1_struct_0(X0)
| ~ v3_realset2(X0) ),
inference(demodulation,[status(thm)],[c_62,c_49]) ).
tcf(c_55941,plain,
! [X0: $i] :
( ( k2_tarski(X0,X0) = k2_relat_1(k9_finseq_1(X0)) )
| ~ v1_finseq_1(k9_finseq_1(X0))
| ~ v1_relat_1(k9_finseq_1(X0))
| ~ v1_funct_1(k9_finseq_1(X0)) ),
inference(demodulation,[status(thm)],[c_3797,c_49]) ).
tcf(c_56024,plain,
! [X0: $i,X1: $i] :
( ( k4_xboole_0(k4_relat_1(X0),k4_xboole_0(k4_relat_1(X0),k4_relat_1(X1))) = k4_relat_1(k1_setfam_1(k2_tarski(X1,X0))) )
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0) ),
inference(light_normalisation,[status(thm)],[c_3381,c_48896]) ).
tcf(c_56025,plain,
! [X0: $i,X1: $i] :
( ( k1_setfam_1(k2_tarski(k4_relat_1(X1),k4_relat_1(X0))) = k4_relat_1(k1_setfam_1(k2_tarski(X1,X0))) )
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0) ),
inference(demodulation,[status(thm)],[c_56024,c_48896]) ).
tcf(c_56085,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k9_relat_1(X0,k1_setfam_1(k2_tarski(X1,X2))),k1_setfam_1(k2_tarski(k9_relat_1(X0,X1),k9_relat_1(X0,X2))))
| ~ v1_relat_1(X0) ),
inference(demodulation,[status(thm)],[c_7316,c_48896]) ).
tcf(c_56102,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k10_relat_1(X0,k1_setfam_1(k2_tarski(X1,X2))),k1_setfam_1(k2_tarski(k10_relat_1(X0,X1),k10_relat_1(X0,X2))))
| ~ v1_relat_1(X0) ),
inference(demodulation,[status(thm)],[c_7300,c_48896]) ).
tcf(c_56119,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k1_setfam_1(k2_tarski(k10_relat_1(X0,X1),X2)),k10_relat_1(X0,k1_setfam_1(k2_tarski(X1,k9_relat_1(X0,X2)))))
| ~ v1_relat_1(X0) ),
inference(demodulation,[status(thm)],[c_7296,c_48896]) ).
tcf(c_56156,plain,
! [X0: $i,X1: $i] : k1_setfam_1(k2_tarski(k2_tarski(X0,X1),k2_tarski(X0,X0))) = k2_tarski(X0,X0),
inference(demodulation,[status(thm)],[c_2699,c_49,c_48896]) ).
tcf(c_56157,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k1_setfam_1(k2_tarski(X1,k2_tarski(X0,X2))) = k2_tarski(X0,X2) )
| ~ r2_hidden(X2,X1)
| ~ r2_hidden(X0,X1) ),
inference(demodulation,[status(thm)],[c_2678,c_48896]) ).
tcf(c_56167,plain,
! [X0: $i,X1: $i,X2: $i] : k5_xboole_0(k1_setfam_1(k2_tarski(X0,X1)),k4_xboole_0(X2,k4_xboole_0(X2,X0))) = k4_xboole_0(k5_xboole_0(X1,X2),k4_xboole_0(k5_xboole_0(X1,X2),X0)),
inference(light_normalisation,[status(thm)],[c_2598,c_48896]) ).
tcf(c_56168,plain,
! [X0: $i,X1: $i,X2: $i] : k5_xboole_0(k1_setfam_1(k2_tarski(X0,X1)),k1_setfam_1(k2_tarski(X0,X2))) = k1_setfam_1(k2_tarski(X0,k5_xboole_0(X1,X2))),
inference(demodulation,[status(thm)],[c_56167,c_48896]) ).
tcf(c_56249,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( k4_xboole_0(k2_tarski(X0,X0),k2_tarski(X1,X1)) = k2_tarski(X0,X0) ) ),
inference(demodulation,[status(thm)],[c_9109,c_49]) ).
tcf(c_56328,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2 = np__0 )
| ~ r2_hidden(X1,X2)
| ( k2_tarski(k2_tarski(X0,X1),k2_tarski(X0,X0)) != sK127(X2) ) ),
inference(demodulation,[status(thm)],[c_760,c_49]) ).
tcf(c_56338,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2 = np__0 )
| ~ r2_hidden(X0,X2)
| ( k2_tarski(k2_tarski(X0,X1),k2_tarski(X0,X0)) != sK127(X2) ) ),
inference(demodulation,[status(thm)],[c_759,c_49]) ).
tcf(c_56387,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(sK62(X0,X1,X2),X2)
| ( k1_setfam_1(k2_tarski(X2,X1)) = X0 )
| ~ r1_tarski(X0,X2)
| ~ r1_tarski(X0,X1) ),
inference(demodulation,[status(thm)],[c_414,c_48896]) ).
tcf(c_56400,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(sK62(X0,X1,X2),X1)
| ( k1_setfam_1(k2_tarski(X2,X1)) = X0 )
| ~ r1_tarski(X0,X2)
| ~ r1_tarski(X0,X1) ),
inference(demodulation,[status(thm)],[c_413,c_48896]) ).
tcf(c_56413,plain,
! [X0: $i,X1: $i,X2: $i] : k3_tarski(k2_tarski(k1_setfam_1(k2_tarski(X0,X1)),k4_xboole_0(X1,k4_xboole_0(X1,X2)))) = k4_xboole_0(X1,k4_xboole_0(k4_xboole_0(X1,X0),X2)),
inference(light_normalisation,[status(thm)],[c_409,c_484,c_48896]) ).
tcf(c_56414,plain,
! [X0: $i,X1: $i,X2: $i] : k3_tarski(k2_tarski(k1_setfam_1(k2_tarski(X0,X1)),k1_setfam_1(k2_tarski(X2,X1)))) = k4_xboole_0(X1,k4_xboole_0(k4_xboole_0(X1,X0),X2)),
inference(demodulation,[status(thm)],[c_56413,c_48896]) ).
tcf(c_56415,plain,
! [X0: $i,X1: $i,X2: $i] : r1_tarski(k4_xboole_0(X0,k4_xboole_0(k4_xboole_0(X0,X1),X2)),k3_tarski(k2_tarski(X1,X2))),
inference(demodulation,[status(thm)],[c_52806,c_56414]) ).
tcf(c_56416,plain,
! [X0: $i,X1: $i,X2: $i] : k4_xboole_0(k1_setfam_1(k2_tarski(X0,X1)),k4_xboole_0(X2,k4_xboole_0(X2,X0))) = k4_xboole_0(k4_xboole_0(X1,X2),k4_xboole_0(k4_xboole_0(X1,X2),X0)),
inference(light_normalisation,[status(thm)],[c_391,c_48896]) ).
tcf(c_56417,plain,
! [X0: $i,X1: $i,X2: $i] : k4_xboole_0(k1_setfam_1(k2_tarski(X0,X1)),k1_setfam_1(k2_tarski(X0,X2))) = k1_setfam_1(k2_tarski(X0,k4_xboole_0(X1,X2))),
inference(demodulation,[status(thm)],[c_56416,c_48896]) ).
tcf(c_56520,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X0 = X2 )
| ~ r2_hidden(k2_tarski(k2_tarski(X0,X1),k2_tarski(X0,X0)),k2_zfmisc_1(k2_tarski(X2,X2),X3)) ),
inference(demodulation,[status(thm)],[c_7010,c_49]) ).
tcf(c_56527,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X1 = X3 )
| ~ r2_hidden(k2_tarski(k2_tarski(X0,X1),k2_tarski(X0,X0)),k2_zfmisc_1(X2,k2_tarski(X3,X3))) ),
inference(demodulation,[status(thm)],[c_7004,c_49]) ).
tcf(c_56570,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_wellord2(k4_xboole_0(X1,k2_tarski(X0,X0)),k4_xboole_0(X1,k2_tarski(X2,X2)))
| ~ r2_hidden(X2,X1)
| ~ r2_hidden(X0,X1) ),
inference(demodulation,[status(thm)],[c_3684,c_49]) ).
tcf(c_56580,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( k3_tarski(k2_tarski(X0,k2_tarski(X0,X0))) != k3_tarski(k2_tarski(X1,k2_tarski(X1,X1))) ) ),
inference(demodulation,[status(thm)],[c_8372,c_49]) ).
tcf(c_56597,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k1_setfam_1(k2_tarski(k8_relat_1(X1,X0),k8_relat_1(X2,X0))) = k8_relat_1(k1_setfam_1(k2_tarski(X1,X2)),X0) )
| ~ v1_relat_1(X0) ),
inference(demodulation,[status(thm)],[c_7340,c_48896]) ).
tcf(c_56654,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(k2_tarski(k2_tarski(X0,X0),k2_tarski(X0,sK486(X1,X2,X0))),X1)
| ~ v1_relat_1(X1)
| ~ r2_hidden(X0,k10_relat_1(X1,X2)) ),
inference(demodulation,[status(thm)],[c_3134,c_49,c_2707]) ).
tcf(c_56664,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(k2_tarski(k2_tarski(X0,X0),k2_tarski(X0,sK483(X0,X2,X1))),X1)
| ~ v1_relat_1(X1)
| ~ r2_hidden(X0,k10_relat_1(X1,X2)) ),
inference(demodulation,[status(thm)],[c_3128,c_49,c_2707]) ).
tcf(c_56732,plain,
! [X0: $i,X1: $i] :
( ( k2_tarski(sK426(X1),sK426(X1)) = X1 )
| ( k1_card_1(k2_tarski(X0,X0)) != k1_card_1(X1) ) ),
inference(demodulation,[status(thm)],[c_8304,c_49]) ).
tcf(c_56745,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(X2,X1)
| ( k1_setfam_1(k2_tarski(X1,k2_tarski(X0,X2))) = k2_tarski(X0,X0) )
| ~ r2_hidden(X0,X1) ),
inference(demodulation,[status(thm)],[c_2675,c_49,c_48896]) ).
tcf(c_56775,plain,
! [X0: $i,X1: $i] :
( ( X1 = np__0 )
| ( X0 = np__0 )
| ( k1_setfam_1(k2_tarski(k1_setfam_1(X0),k1_setfam_1(X1))) = k1_setfam_1(k3_tarski(k2_tarski(X1,X0))) ) ),
inference(demodulation,[status(thm)],[c_2534,c_48896]) ).
tcf(c_56811,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k1_funct_1(X0,k2_tarski(k2_tarski(X1,X2),k2_tarski(X1,X1))) = k1_binop_1(X0,X1,X2) )
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0) ),
inference(demodulation,[status(thm)],[c_2386,c_49]) ).
tcf(c_56885,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k1_setfam_1(k2_tarski(k7_relat_1(X0,X1),k7_relat_1(X0,X2))) = k7_relat_1(X0,k1_setfam_1(k2_tarski(X1,X2))) )
| ~ v1_relat_1(X0) ),
inference(demodulation,[status(thm)],[c_7256,c_48896]) ).
tcf(c_56924,plain,
! [X0: $i,X1: $i] :
( ( X0 = np__0 )
| ( k2_tarski(X1,X1) = X0 )
| ( k4_xboole_0(X0,k2_tarski(X1,X1)) != np__0 ) ),
inference(demodulation,[status(thm)],[c_1720,c_49]) ).
tcf(c_57050,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k1_setfam_1(k2_tarski(X2,X1)) = X0 )
| ~ r1_tarski(X0,X2)
| ~ r1_tarski(X0,X1)
| ~ r1_tarski(sK62(X0,X1,X2),X0) ),
inference(demodulation,[status(thm)],[c_412,c_48896]) ).
tcf(c_57364,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r2_hidden(X1,k9_relat_1(X2,X3))
| ~ v1_relat_1(X2)
| ~ r2_hidden(X0,X3)
| ~ r2_hidden(k2_tarski(k2_tarski(X0,X1),k2_tarski(X0,X0)),X2) ),
inference(demodulation,[status(thm)],[c_6471,c_49]) ).
tcf(c_57387,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r2_hidden(X0,k10_relat_1(X2,X3))
| ~ v1_relat_1(X2)
| ~ r2_hidden(X1,X3)
| ~ r2_hidden(k2_tarski(k2_tarski(X0,X1),k2_tarski(X0,X0)),X2) ),
inference(demodulation,[status(thm)],[c_6473,c_49]) ).
tcf(c_57400,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( k2_partfun1(X1,X2,k3_partfun1(X0,X1,X2),X3) = k3_partfun1(X0,k1_setfam_1(k2_tarski(X3,X1)),X2) )
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0) ),
inference(demodulation,[status(thm)],[c_3071,c_48896]) ).
tcf(c_57520,plain,
! [X0: $i,X1: $i] :
( r2_hidden(sK389(X0,X1),k3_tarski(k2_tarski(X0,X1)))
| ( k4_xboole_0(k3_tarski(X0),k4_xboole_0(k3_tarski(X0),k3_tarski(X1))) = k3_tarski(k1_setfam_1(k2_tarski(X1,X0))) ) ),
inference(light_normalisation,[status(thm)],[c_9512,c_48896]) ).
tcf(c_57521,plain,
! [X0: $i,X1: $i] :
( r2_hidden(sK389(X1,X0),k3_tarski(k2_tarski(X1,X0)))
| ( k1_setfam_1(k2_tarski(k3_tarski(X0),k3_tarski(X1))) = k3_tarski(k1_setfam_1(k2_tarski(X0,X1))) ) ),
inference(demodulation,[status(thm)],[c_57520,c_48896]) ).
tcf(c_57528,plain,
! [X0: $i,X1: $i] :
( r2_hidden(sK388(X0,X1),k3_tarski(k2_tarski(X0,X1)))
| ( k4_xboole_0(k3_tarski(X0),k4_xboole_0(k3_tarski(X0),k3_tarski(X1))) = k3_tarski(k1_setfam_1(k2_tarski(X1,X0))) ) ),
inference(light_normalisation,[status(thm)],[c_9510,c_48896]) ).
tcf(c_57529,plain,
! [X0: $i,X1: $i] :
( r2_hidden(sK388(X1,X0),k3_tarski(k2_tarski(X1,X0)))
| ( k1_setfam_1(k2_tarski(k3_tarski(X0),k3_tarski(X1))) = k3_tarski(k1_setfam_1(k2_tarski(X0,X1))) ) ),
inference(demodulation,[status(thm)],[c_57528,c_48896]) ).
tcf(c_57536,plain,
! [X0: $i,X1: $i] :
( ( k4_xboole_0(k3_tarski(X0),k4_xboole_0(k3_tarski(X0),k3_tarski(X1))) = k3_tarski(k1_setfam_1(k2_tarski(X1,X0))) )
| ~ r1_xboole_0(sK388(X0,X1),sK389(X0,X1)) ),
inference(light_normalisation,[status(thm)],[c_8174,c_48896]) ).
tcf(c_57537,plain,
! [X0: $i,X1: $i] :
( ( k1_setfam_1(k2_tarski(k3_tarski(X1),k3_tarski(X0))) = k3_tarski(k1_setfam_1(k2_tarski(X1,X0))) )
| ~ r1_xboole_0(sK388(X0,X1),sK389(X0,X1)) ),
inference(demodulation,[status(thm)],[c_57536,c_48896]) ).
tcf(c_57702,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k2_tarski(k2_tarski(sK164(X0),sK164(X0)),k2_tarski(sK164(X0),sK165(X0))) = X0 )
| ~ r2_hidden(X0,k2_zfmisc_1(X1,X2)) ),
inference(demodulation,[status(thm)],[c_7376,c_49,c_2707]) ).
tcf(c_57709,plain,
! [X0: $i] :
( r2_hidden(k2_tarski(k2_tarski(sK137(X0),sK137(X0)),k2_tarski(sK137(X0),sK138(X0))),X0)
| ( X0 = np__0 )
| ~ v1_relat_1(X0) ),
inference(demodulation,[status(thm)],[c_775,c_49,c_2707]) ).
tcf(c_57719,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k1_funct_1(X2,X0) = X1 )
| ~ v1_relat_1(X2)
| ~ v1_funct_1(X2)
| ~ r2_hidden(k2_tarski(k2_tarski(X0,X1),k2_tarski(X0,X0)),X2) ),
inference(demodulation,[status(thm)],[c_6477,c_49]) ).
tcf(c_57732,plain,
! [X0: $i,X1: $i] :
( r2_hidden(k2_tarski(k2_tarski(X0,X0),k2_tarski(X0,k1_funct_1(X1,X0))),X1)
| ~ v1_relat_1(X1)
| ~ v1_funct_1(X1)
| ~ r2_hidden(X0,k1_relat_1(X1)) ),
inference(demodulation,[status(thm)],[c_668,c_49,c_2707]) ).
tcf(c_57791,plain,
! [X0: $i,X1: $i,X2: $i] : k4_xboole_0(k1_setfam_1(k2_tarski(X0,X1)),k4_xboole_0(k1_setfam_1(k2_tarski(X0,X1)),X2)) = k4_xboole_0(X1,k4_xboole_0(X1,k4_xboole_0(X0,k4_xboole_0(X0,X2)))),
inference(light_normalisation,[status(thm)],[c_418,c_48896]) ).
tcf(c_57792,plain,
! [X0: $i,X1: $i,X2: $i] : k4_xboole_0(k1_setfam_1(k2_tarski(X0,X1)),k4_xboole_0(X0,X2)) = k1_setfam_1(k2_tarski(X2,k1_setfam_1(k2_tarski(X0,X1)))),
inference(demodulation,[status(thm)],[c_57791,c_48896,c_52024]) ).
tcf(c_57793,plain,
! [X0: $i,X1: $i,X2: $i] : k1_setfam_1(k2_tarski(k3_tarski(k2_tarski(X0,X1)),k3_tarski(k2_tarski(X0,X2)))) = k3_tarski(k2_tarski(X0,k1_setfam_1(k2_tarski(X1,X2)))),
inference(demodulation,[status(thm)],[c_408,c_48896]) ).
tcf(c_57794,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : k2_zfmisc_1(k1_setfam_1(k2_tarski(X0,X1)),k1_setfam_1(k2_tarski(X2,X3))) = k1_setfam_1(k2_tarski(k2_zfmisc_1(X0,X2),k2_zfmisc_1(X1,X3))),
inference(demodulation,[status(thm)],[c_381,c_48896]) ).
tcf(c_57795,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( k1_setfam_1(k2_tarski(k2_zfmisc_1(X1,X2),k2_zfmisc_1(X0,X3))) = k2_zfmisc_1(X0,X2) )
| ~ r1_tarski(X2,X3)
| ~ r1_tarski(X0,X1) ),
inference(demodulation,[status(thm)],[c_380,c_48896]) ).
tcf(c_57821,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( k2_enumset1(X0,X0,X1,X1) != k2_tarski(X0,X0) ) ),
inference(demodulation,[status(thm)],[c_7022,c_49,c_3627]) ).
tcf(c_57828,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = np__0 )
| ( k2_tarski(X2,X2) = X1 )
| ( k3_tarski(k2_tarski(X0,X1)) != k2_tarski(X2,X2) ) ),
inference(demodulation,[status(thm)],[c_6481,c_49]) ).
tcf(c_57838,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = np__0 )
| ( k2_tarski(X2,X2) = X0 )
| ( k3_tarski(k2_tarski(X0,X1)) != k2_tarski(X2,X2) ) ),
inference(demodulation,[status(thm)],[c_6480,c_49]) ).
tcf(c_57848,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = np__0 )
| ( X0 = np__0 )
| ( X0 = X1 )
| ( k3_tarski(k2_tarski(X0,X1)) != k2_tarski(X2,X2) ) ),
inference(demodulation,[status(thm)],[c_123,c_49]) ).
tcf(c_57939,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : k1_relat_1(k2_tarski(k2_tarski(k2_tarski(X0,X1),k2_tarski(X0,X0)),k2_tarski(k2_tarski(X2,X3),k2_tarski(X2,X2)))) = k2_tarski(X0,X2),
inference(demodulation,[status(thm)],[c_6533,c_49]) ).
tcf(c_57940,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : k2_relat_1(k2_tarski(k2_tarski(k2_tarski(X0,X1),k2_tarski(X0,X0)),k2_tarski(k2_tarski(X2,X3),k2_tarski(X2,X2)))) = k2_tarski(X1,X3),
inference(demodulation,[status(thm)],[c_6530,c_49]) ).
tcf(c_58109,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X1,k2_relat_1(X0))
| ( k10_relat_1(X0,k2_tarski(sK481(X1,X0),sK481(X1,X0))) = np__0 )
| ~ v1_relat_1(X0) ),
inference(demodulation,[status(thm)],[c_3102,c_49]) ).
tcf(c_58119,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k9_relat_1(X0,k1_setfam_1(k2_tarski(k10_relat_1(X0,X1),X2))),k1_setfam_1(k2_tarski(X1,k9_relat_1(X0,X2))))
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0) ),
inference(demodulation,[status(thm)],[c_3096,c_48896]) ).
tcf(c_58259,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X2 )
| ~ r2_hidden(X2,X0)
| ( k1_setfam_1(k2_tarski(X0,k2_tarski(X1,X2))) != k2_tarski(X1,X1) ) ),
inference(demodulation,[status(thm)],[c_2677,c_49,c_48896]) ).
tcf(c_58297,plain,
! [X0: $i] :
( ( k4_xboole_0(k2_finseq_1(k2_xcmplx_0(X0,np__1)),k2_tarski(k2_xcmplx_0(X0,np__1),k2_xcmplx_0(X0,np__1))) = k2_finseq_1(X0) )
| ~ v4_ordinal2(X0) ),
inference(demodulation,[status(thm)],[c_7794,c_49]) ).
tcf(c_58304,plain,
! [X0: $i,X1: $i] :
( ( k4_xboole_0(k3_tarski(X0),k4_xboole_0(k3_tarski(X0),k3_tarski(X1))) = k3_tarski(k1_setfam_1(k2_tarski(X1,X0))) )
| ( sK388(X0,X1) != sK389(X0,X1) ) ),
inference(light_normalisation,[status(thm)],[c_8172,c_48896]) ).
tcf(c_58305,plain,
! [X0: $i,X1: $i] :
( ( k1_setfam_1(k2_tarski(k3_tarski(X1),k3_tarski(X0))) = k3_tarski(k1_setfam_1(k2_tarski(X1,X0))) )
| ( sK388(X0,X1) != sK389(X0,X1) ) ),
inference(demodulation,[status(thm)],[c_58304,c_48896]) ).
tcf(c_58604,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X1 = X3 )
| ( k2_tarski(k2_tarski(X0,X1),k2_tarski(X0,X0)) != k2_tarski(k2_tarski(X2,X3),k2_tarski(X2,X2)) ) ),
inference(demodulation,[status(thm)],[c_7522,c_49]) ).
tcf(c_58611,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X0 = X2 )
| ( k2_tarski(k2_tarski(X0,X1),k2_tarski(X0,X0)) != k2_tarski(k2_tarski(X2,X3),k2_tarski(X2,X2)) ) ),
inference(demodulation,[status(thm)],[c_7520,c_49]) ).
tcf(c_58618,plain,
! [X0: $i,X1: $i] :
( ( k2_tarski(k2_tarski(sK147(X0),sK147(X0)),k2_tarski(sK147(X0),sK148(X0))) = X0 )
| ~ v1_relat_1(X1)
| ~ r2_hidden(X0,X1) ),
inference(demodulation,[status(thm)],[c_789,c_49,c_2707]) ).
tcf(c_58664,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k3_tarski(k2_tarski(X0,k1_setfam_1(k2_tarski(X1,X2)))) = k1_setfam_1(k2_tarski(X1,k3_tarski(k2_tarski(X0,X2)))) )
| ~ r1_tarski(X0,X1) ),
inference(demodulation,[status(thm)],[c_6846,c_48896]) ).
tcf(c_58804,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k1_setfam_1(k2_tarski(k10_relat_1(X0,X1),k10_relat_1(X0,X2))) = k10_relat_1(X0,k1_setfam_1(k2_tarski(X1,X2))) )
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0) ),
inference(demodulation,[status(thm)],[c_3106,c_48896]) ).
tcf(c_58814,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k9_relat_1(X0,k1_setfam_1(k2_tarski(k10_relat_1(X0,X1),X2))) = k1_setfam_1(k2_tarski(X1,k9_relat_1(X0,X2))) )
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0) ),
inference(demodulation,[status(thm)],[c_3095,c_48896]) ).
tcf(c_58926,plain,
! [X0: $i,X1: $i] :
( v2_funct_1(X0)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0)
| ~ r1_tarski(k10_relat_1(X0,k2_tarski(sK437(X0),sK437(X0))),k2_tarski(X1,X1)) ),
inference(demodulation,[status(thm)],[c_2858,c_49]) ).
tcf(c_58979,plain,
! [X0: $i] :
( ( k3_tarski(k2_tarski(k2_finseq_1(X0),k2_tarski(k2_xcmplx_0(X0,np__1),k2_xcmplx_0(X0,np__1)))) = k2_finseq_1(k2_xcmplx_0(X0,np__1)) )
| ~ v4_ordinal2(X0) ),
inference(demodulation,[status(thm)],[c_7796,c_49]) ).
tcf(c_59056,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k1_funct_1(k7_relat_1(X2,X1),X0) = k1_funct_1(X2,X0) )
| ~ v1_relat_1(X2)
| ~ v1_funct_1(X2)
| ~ r2_hidden(X0,k1_setfam_1(k2_tarski(X1,k1_relat_1(X2)))) ),
inference(demodulation,[status(thm)],[c_2027,c_48896]) ).
tcf(c_59237,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( r2_hidden(sK61(X0,X3,X4,X1,X2),k1_setfam_1(k2_tarski(X2,X4)))
| ~ r2_hidden(X0,k1_setfam_1(k2_tarski(k2_zfmisc_1(X1,X2),k2_zfmisc_1(X3,X4)))) ),
inference(demodulation,[status(thm)],[c_7388,c_48896]) ).
tcf(c_59244,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( r2_hidden(sK60(X0,X3,X4,X1,X2),k1_setfam_1(k2_tarski(X1,X3)))
| ~ r2_hidden(X0,k1_setfam_1(k2_tarski(k2_zfmisc_1(X1,X2),k2_zfmisc_1(X3,X4)))) ),
inference(demodulation,[status(thm)],[c_7386,c_48896]) ).
tcf(c_59407,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(k2_tarski(k2_tarski(X1,X0),k2_tarski(X1,X1)),k4_relat_1(X2))
| ~ v1_relat_1(X2)
| ~ r2_hidden(k2_tarski(k2_tarski(X0,X1),k2_tarski(X0,X0)),X2) ),
inference(demodulation,[status(thm)],[c_15735,c_49]) ).
tcf(c_59417,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(k2_tarski(k2_tarski(X1,X0),k2_tarski(X1,X1)),X2)
| ~ v1_relat_1(X2)
| ~ r2_hidden(k2_tarski(k2_tarski(X0,X1),k2_tarski(X0,X0)),k4_relat_1(X2)) ),
inference(demodulation,[status(thm)],[c_15734,c_49]) ).
tcf(c_59509,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r2_wellord2(k4_xboole_0(X1,k2_tarski(X0,X0)),k4_xboole_0(X3,k2_tarski(X2,X2)))
| ~ r2_wellord2(X1,X3)
| ~ r2_hidden(X2,X3)
| ~ r2_hidden(X0,X1) ),
inference(demodulation,[status(thm)],[c_3682,c_49]) ).
tcf(c_59600,plain,
! [X0: $i,X1: $i] :
( v2_funct_1(X0)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0)
| ( k10_relat_1(X0,k2_tarski(sK441(X0),sK441(X0))) != k2_tarski(X1,X1) ) ),
inference(demodulation,[status(thm)],[c_2865,c_49]) ).
tcf(c_59635,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k1_funct_1(k5_relat_1(k6_partfun1(X1),X2),X0) = k1_funct_1(X2,X0) )
| ~ v1_relat_1(X2)
| ~ v1_funct_1(X2)
| ~ r2_hidden(X0,k1_setfam_1(k2_tarski(X1,k1_relat_1(X2)))) ),
inference(demodulation,[status(thm)],[c_2175,c_48896]) ).
tcf(c_59830,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r2_hidden(k2_tarski(k2_tarski(X1,X0),k2_tarski(X1,X1)),k2_zfmisc_1(X3,X2))
| ~ r2_hidden(k2_tarski(k2_tarski(X0,X1),k2_tarski(X0,X0)),k2_zfmisc_1(X2,X3)) ),
inference(demodulation,[status(thm)],[c_7518,c_49]) ).
tcf(c_59851,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k1_setfam_1(k2_tarski(k2_pre_topc(X1),k6_pre_topc(X2,X0))) = k6_pre_topc(X1,X0) )
| ~ l1_pre_topc(X2)
| ~ m1_pre_topc(X1,X2)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(demodulation,[status(thm)],[c_23728,c_48896]) ).
tcf(c_59864,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r2_hidden(k2_tarski(k2_tarski(X0,X1),k2_tarski(X0,X0)),X3)
| ~ v1_relat_1(X3)
| ~ r2_hidden(k2_tarski(k2_tarski(X0,X1),k2_tarski(X0,X0)),k8_relat_1(X2,X3)) ),
inference(demodulation,[status(thm)],[c_16011,c_49]) ).
tcf(c_59874,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r2_hidden(k2_tarski(k2_tarski(X0,X1),k2_tarski(X0,X0)),X2)
| ~ v1_relat_1(X2)
| ~ r2_hidden(k2_tarski(k2_tarski(X0,X1),k2_tarski(X0,X0)),k7_relat_1(X2,X3)) ),
inference(demodulation,[status(thm)],[c_16002,c_49]) ).
tcf(c_59904,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( k1_setfam_1(k2_tarski(k3_tarski(X0),k3_tarski(X2))) = k3_tarski(k5_subset_1(X1,X2,X0)) )
| ~ m1_eqrel_1(X1,X3)
| ~ r1_tarski(X2,X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(X1)) ),
inference(demodulation,[status(thm)],[c_14229,c_48896]) ).
tcf(c_59983,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(k2_tarski(k2_tarski(X2,X2),k2_tarski(X2,X2)),X0)
| ~ v1_relat_2(X0)
| ~ r2_hidden(X2,X1)
| ~ v1_partfun1(X0,X1,X1)
| ~ m2_relset_1(X0,X1,X1) ),
inference(demodulation,[status(thm)],[c_3357,c_49]) ).
tcf(c_60119,plain,
! [X0: $i,X1: $i,X2: $i] : k3_tarski(k2_tarski(k4_xboole_0(k4_xboole_0(X0,X1),X2),k4_xboole_0(k1_setfam_1(k2_tarski(X1,X0)),k4_xboole_0(k1_setfam_1(k2_tarski(X1,X0)),X2)))) = k4_xboole_0(X0,k5_xboole_0(X1,X2)),
inference(light_normalisation,[status(thm)],[c_2604,c_484,c_48896]) ).
tcf(c_60120,plain,
! [X0: $i,X1: $i,X2: $i] : k3_tarski(k2_tarski(k4_xboole_0(k4_xboole_0(X0,X1),X2),k1_setfam_1(k2_tarski(X2,k1_setfam_1(k2_tarski(X1,X0)))))) = k4_xboole_0(X0,k5_xboole_0(X1,X2)),
inference(demodulation,[status(thm)],[c_60119,c_48896]) ).
tcf(c_60187,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k5_relat_1(X0,k1_setfam_1(k2_tarski(X2,X1))),k1_setfam_1(k2_tarski(k5_relat_1(X0,X2),k5_relat_1(X0,X1))))
| ~ v1_relat_1(X2)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0) ),
inference(demodulation,[status(thm)],[c_2272,c_48896]) ).
tcf(c_60354,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k2_relat_1(X1) = X2 )
| ~ v1_relat_1(X1)
| ~ r2_hidden(sK118(X1,X2),X2)
| ~ r2_hidden(k2_tarski(k2_tarski(X0,sK118(X1,X2)),k2_tarski(X0,X0)),X1) ),
inference(demodulation,[status(thm)],[c_740,c_49]) ).
tcf(c_60409,plain,
! [X0: $i,X1: $i] :
( v1_funct_1(sK59(X0,X1))
| r2_hidden(sK58(X0,X1),k1_setfam_1(k2_tarski(k1_relat_1(X1),k1_relat_1(X0))))
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X0) ),
inference(demodulation,[status(thm)],[c_373,c_48896]) ).
tcf(c_60428,plain,
! [X0: $i,X1: $i] :
( v1_relat_1(sK59(X0,X1))
| r2_hidden(sK58(X0,X1),k1_setfam_1(k2_tarski(k1_relat_1(X1),k1_relat_1(X0))))
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X0) ),
inference(demodulation,[status(thm)],[c_372,c_48896]) ).
tcf(c_60475,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k2_tarski(X2,X2) = X1 )
| ( k2_tarski(X2,X2) = X0 )
| ( k3_tarski(k2_tarski(X0,X1)) != k2_tarski(X2,X2) ) ),
inference(demodulation,[status(thm)],[c_126,c_49]) ).
tcf(c_60485,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k2_relat_1(X0),k2_tarski(k1_funct_1(X0,X1),k1_funct_1(X0,X1)))
| ~ v1_funct_1(X0)
| ~ m2_relset_1(X0,k2_tarski(X1,X1),X2) ),
inference(demodulation,[status(thm)],[c_97,c_49]) ).
tcf(c_60643,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_tarski(k9_relat_1(X0,X3),k2_tarski(k1_funct_1(X0,X1),k1_funct_1(X0,X1)))
| ~ v1_funct_1(X0)
| ~ m2_relset_1(X0,k2_tarski(X1,X1),X2) ),
inference(demodulation,[status(thm)],[c_3140,c_49]) ).
tcf(c_60711,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k1_setfam_1(k2_tarski(k9_relat_1(X0,X1),k9_relat_1(X0,X2))) = k9_relat_1(X0,k1_setfam_1(k2_tarski(X1,X2))) )
| ~ v2_funct_1(X0)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0) ),
inference(demodulation,[status(thm)],[c_2869,c_48896]) ).
tcf(c_60782,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r2_hidden(k2_tarski(k2_tarski(X0,X1),k2_tarski(X0,X0)),X3)
| ~ v1_relat_1(X3)
| ~ r2_hidden(k2_tarski(k2_tarski(X0,X1),k2_tarski(X0,X0)),k5_relat_1(k6_partfun1(X2),X3)) ),
inference(demodulation,[status(thm)],[c_2200,c_49]) ).
tcf(c_60792,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r2_hidden(k2_tarski(k2_tarski(X0,X1),k2_tarski(X0,X0)),X2)
| ~ v1_relat_1(X2)
| ~ r2_hidden(k2_tarski(k2_tarski(X0,X1),k2_tarski(X0,X0)),k5_relat_1(X2,k6_partfun1(X3))) ),
inference(demodulation,[status(thm)],[c_2197,c_49]) ).
tcf(c_60974,plain,
! [X0: $i,X1: $i] :
( r2_hidden(k2_tarski(k2_tarski(X0,sK120(X1,X0)),k2_tarski(sK120(X1,X0),sK120(X1,X0))),X1)
| ~ v1_relat_1(X1)
| ~ r2_hidden(X0,k2_relat_1(X1)) ),
inference(demodulation,[status(thm)],[c_743,c_49,c_2707]) ).
tcf(c_61041,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k1_setfam_1(k2_tarski(X1,X0)) = X2 )
| ~ r2_hidden(sK63(X0,X1,X2),X2)
| ~ r2_hidden(sK63(X0,X1,X2),X1)
| ~ r2_hidden(sK63(X0,X1,X2),X0) ),
inference(light_normalisation,[status(thm)],[c_422,c_48896]) ).
tcf(c_61054,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( k1_setfam_1(k2_tarski(k2_tarski(X0,X0),k2_tarski(X1,X1))) != k2_tarski(X1,X1) ) ),
inference(demodulation,[status(thm)],[c_7396,c_49,c_48896]) ).
tcf(c_61279,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k10_relat_1(X0,k2_tarski(X1,X1)),k2_tarski(sK438(X0,X1),sK438(X0,X1)))
| ~ v2_funct_1(X0)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0) ),
inference(demodulation,[status(thm)],[c_2859,c_49]) ).
tcf(c_61306,plain,
! [X0: $i,X1: $i,X2: $i] : k2_tarski(k2_tarski(k2_tarski(X0,X1),k2_tarski(X0,X0)),k2_tarski(k2_tarski(X2,X1),k2_tarski(X2,X2))) = k2_zfmisc_1(k2_tarski(X0,X2),k2_tarski(X1,X1)),
inference(demodulation,[status(thm)],[c_2691,c_49]) ).
tcf(c_61307,plain,
! [X0: $i,X1: $i,X2: $i] : k2_tarski(k2_tarski(k2_tarski(X0,X1),k2_tarski(X0,X0)),k2_tarski(k2_tarski(X0,X2),k2_tarski(X0,X0))) = k2_zfmisc_1(k2_tarski(X0,X0),k2_tarski(X1,X2)),
inference(demodulation,[status(thm)],[c_2690,c_49]) ).
tcf(c_61546,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,X1)
| r2_hidden(sK153(X0),X0)
| r2_hidden(k2_tarski(k2_tarski(sK154(X0,X1),sK154(X0,X1)),k2_tarski(sK154(X0,X1),sK155(X0,X1))),X0) ),
inference(demodulation,[status(thm)],[c_799,c_49,c_2707]) ).
tcf(c_61568,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( m2_relset_1(X1,X3,X2)
| ~ v1_relat_1(X1)
| ~ v1_funct_1(X1)
| ~ r2_hidden(X0,X3)
| ~ r2_hidden(k1_funct_1(X1,X0),X2)
| ( k2_tarski(X0,X0) != k1_relat_1(X1) ) ),
inference(demodulation,[status(thm)],[c_96,c_49]) ).
tcf(c_61587,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(k1_funct_1(X0,X1),X2)
| ( X2 = np__0 )
| ~ v1_funct_1(X0)
| ~ m2_relset_1(X0,k2_tarski(X1,X1),X2)
| ~ v1_funct_2(X0,k2_tarski(X1,X1),X2) ),
inference(demodulation,[status(thm)],[c_95,c_49]) ).
tcf(c_61617,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_tarski(X0,X3)
| r2_hidden(k2_tarski(k2_tarski(sK158(X0,X3),sK158(X0,X3)),k2_tarski(sK158(X0,X3),sK159(X0,X3))),X0)
| ~ m1_relset_1(X0,X1,X2) ),
inference(demodulation,[status(thm)],[c_14182,c_49,c_2707]) ).
tcf(c_61627,plain,
! [X0: $i,X1: $i] :
( ( k9_finseq_1(X0) = X1 )
| ~ v1_finseq_1(X1)
| ~ v1_relat_1(X1)
| ~ v1_funct_1(X1)
| ( k4_finseq_1(X1) != k2_finseq_1(np__1) )
| ( k2_tarski(X0,X0) != k2_relat_1(X1) ) ),
inference(demodulation,[status(thm)],[c_3795,c_49]) ).
tcf(c_61816,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k6_partfun1(X0),X1)
| ~ v1_relat_1(X1)
| ~ r2_hidden(k2_tarski(k2_tarski(sK342(X0,X1),sK342(X0,X1)),k2_tarski(sK342(X0,X1),sK342(X0,X1))),X1) ),
inference(demodulation,[status(thm)],[c_2201,c_49]) ).
tcf(c_61996,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,X1)
| r2_hidden(sK153(X0),X0)
| ~ r2_hidden(k2_tarski(k2_tarski(sK154(X0,X1),sK154(X0,X1)),k2_tarski(sK154(X0,X1),sK155(X0,X1))),X1) ),
inference(demodulation,[status(thm)],[c_798,c_49,c_2707]) ).
tcf(c_62006,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X1 = X3 )
| ~ v1_funct_1(X2)
| ~ r2_hidden(k2_tarski(k2_tarski(X0,X3),k2_tarski(X0,X0)),X2)
| ~ r2_hidden(k2_tarski(k2_tarski(X0,X1),k2_tarski(X0,X0)),X2) ),
inference(demodulation,[status(thm)],[c_774,c_49]) ).
tcf(c_62045,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( k1_funct_1(X0,X3) = X2 )
| ~ v1_funct_1(X0)
| ~ r2_hidden(X3,X1)
| ~ m2_relset_1(X0,X1,k2_tarski(X2,X2))
| ~ v1_funct_2(X0,X1,k2_tarski(X2,X2)) ),
inference(demodulation,[status(thm)],[c_93,c_49]) ).
tcf(c_62105,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r2_hidden(k2_tarski(k2_tarski(X0,X1),k2_tarski(X0,X0)),k8_relat_1(X3,X2))
| ~ v1_relat_1(X2)
| ~ r2_hidden(X1,X3)
| ~ r2_hidden(k2_tarski(k2_tarski(X0,X1),k2_tarski(X0,X0)),X2) ),
inference(demodulation,[status(thm)],[c_16012,c_49]) ).
tcf(c_62118,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r2_hidden(k2_tarski(k2_tarski(X0,X1),k2_tarski(X0,X0)),k7_relat_1(X2,X3))
| ~ v1_relat_1(X2)
| ~ r2_hidden(X0,X3)
| ~ r2_hidden(k2_tarski(k2_tarski(X0,X1),k2_tarski(X0,X0)),X2) ),
inference(demodulation,[status(thm)],[c_16003,c_49]) ).
tcf(c_62303,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = np__0 )
| ( k2_tarski(X2,X2) = X0 )
| ( k2_tarski(X1,X2) = X0 )
| ( k2_tarski(X1,X1) = X0 )
| ~ r1_tarski(X0,k2_tarski(X1,X2)) ),
inference(demodulation,[status(thm)],[c_2686,c_49]) ).
tcf(c_62591,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,X1)
| r2_hidden(k2_tarski(k2_tarski(sK142(X0,X1),sK142(X0,X1)),k2_tarski(sK142(X0,X1),sK143(X0,X1))),X0)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0) ),
inference(demodulation,[status(thm)],[c_781,c_49,c_2707]) ).
tcf(c_62636,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k1_setfam_1(k2_tarski(k2_pre_topc(X1),sK57(X2,X1,X0))) = X0 )
| ~ l1_pre_topc(X2)
| ~ m1_pre_topc(X1,X2)
| ~ v4_pre_topc(X0,X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(demodulation,[status(thm)],[c_346,c_48896]) ).
tcf(c_62652,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X1)
| ( k4_lattices(k6_lopclset(X1),X0,X2) = k1_setfam_1(k2_tarski(X2,X0)) )
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1)
| ~ m1_subset_1(X2,u1_struct_0(k6_lopclset(X1)))
| ~ m1_subset_1(X0,u1_struct_0(k6_lopclset(X1))) ),
inference(demodulation,[status(thm)],[c_79,c_48896]) ).
tcf(c_62727,plain,
! [X0: $i,X1: $i] :
( ( k2_tarski(k1_funct_1(X1,X0),k1_funct_1(X1,X0)) = k9_relat_1(X1,k2_tarski(X0,X0)) )
| ~ v1_relat_1(X1)
| ~ v1_funct_1(X1)
| ~ r2_hidden(X0,k1_relat_1(X1)) ),
inference(demodulation,[status(thm)],[c_3144,c_49]) ).
tcf(c_62814,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r2_hidden(k2_tarski(k2_tarski(X0,X1),k2_tarski(X0,X0)),k5_relat_1(k6_partfun1(X3),X2))
| ~ v1_relat_1(X2)
| ~ r2_hidden(X0,X3)
| ~ r2_hidden(k2_tarski(k2_tarski(X0,X1),k2_tarski(X0,X0)),X2) ),
inference(demodulation,[status(thm)],[c_2198,c_49]) ).
tcf(c_62827,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r2_hidden(k2_tarski(k2_tarski(X0,X1),k2_tarski(X0,X0)),k5_relat_1(X2,k6_partfun1(X3)))
| ~ v1_relat_1(X2)
| ~ r2_hidden(X1,X3)
| ~ r2_hidden(k2_tarski(k2_tarski(X0,X1),k2_tarski(X0,X0)),X2) ),
inference(demodulation,[status(thm)],[c_2195,c_49]) ).
tcf(c_62966,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_tarski(X0,X1)
| ~ r1_tarski(X0,k2_zfmisc_1(X2,X3))
| ~ r2_hidden(k2_tarski(k2_tarski(sK158(X0,X1),sK158(X0,X1)),k2_tarski(sK158(X0,X1),sK159(X0,X1))),X1) ),
inference(demodulation,[status(thm)],[c_804,c_49,c_2707]) ).
tcf(c_62976,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,X1)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0)
| ~ r2_hidden(k2_tarski(k2_tarski(sK142(X0,X1),sK142(X0,X1)),k2_tarski(sK142(X0,X1),sK143(X0,X1))),X1) ),
inference(demodulation,[status(thm)],[c_780,c_49,c_2707]) ).
tcf(c_62989,plain,
! [X0: $i,X1: $i] :
( r2_hidden(sK58(X0,X1),k1_setfam_1(k2_tarski(k1_relat_1(X1),k1_relat_1(X0))))
| ( k3_tarski(k2_tarski(X0,X1)) = sK59(X0,X1) )
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X0) ),
inference(demodulation,[status(thm)],[c_371,c_48896]) ).
tcf(c_63022,plain,
! [X0: $i,X1: $i] :
( ( k2_tarski(k1_funct_1(X1,X0),k1_funct_1(X1,X0)) = k2_relat_1(X1) )
| ~ v1_relat_1(X1)
| ~ v1_funct_1(X1)
| ( k2_tarski(X0,X0) != k1_relat_1(X1) ) ),
inference(demodulation,[status(thm)],[c_104,c_49]) ).
tcf(c_63239,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r2_hidden(k2_tarski(k2_tarski(X0,X3),k2_tarski(X0,X0)),X2)
| ~ v1_relat_2(X2)
| ~ v3_relat_2(X2)
| ~ v1_partfun1(X2,X1,X1)
| ~ m2_relset_1(X2,X1,X1)
| ~ r2_hidden(X0,k6_eqrel_1(X1,X2,X3)) ),
inference(demodulation,[status(thm)],[c_2398,c_49]) ).
tcf(c_63258,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r2_hidden(X0,k6_eqrel_1(X3,X2,X1))
| ~ v1_relat_2(X2)
| ~ v3_relat_2(X2)
| ~ v1_partfun1(X2,X3,X3)
| ~ m2_relset_1(X2,X3,X3)
| ~ r2_hidden(k2_tarski(k2_tarski(X0,X1),k2_tarski(X0,X0)),X2) ),
inference(demodulation,[status(thm)],[c_2397,c_49]) ).
tcf(c_63487,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r2_hidden(k2_tarski(k2_tarski(X0,X0),k2_tarski(X0,sK354(X2,X3,X0,X1))),X2)
| ~ v1_relat_1(X3)
| ~ v1_relat_1(X2)
| ~ r2_hidden(k2_tarski(k2_tarski(X0,X1),k2_tarski(X0,X0)),k5_relat_1(X2,X3)) ),
inference(demodulation,[status(thm)],[c_19172,c_49,c_2707]) ).
tcf(c_63654,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(k2_tarski(k2_tarski(X0,sK493(X1,X2,X0)),k2_tarski(sK493(X1,X2,X0),sK493(X1,X2,X0))),X1)
| ~ v1_relat_1(X1)
| ~ r2_hidden(X0,k9_relat_1(X1,X2)) ),
inference(demodulation,[status(thm)],[c_3174,c_49,c_2707]) ).
tcf(c_63664,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( k9_relat_1(X1,X2) = X3 )
| ~ v1_relat_1(X1)
| ~ r2_hidden(X0,X2)
| ~ r2_hidden(sK491(X1,X2,X3),X3)
| ~ r2_hidden(k2_tarski(k2_tarski(X0,sK491(X1,X2,X3)),k2_tarski(X0,X0)),X1) ),
inference(demodulation,[status(thm)],[c_3170,c_49]) ).
tcf(c_63680,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(k2_tarski(k2_tarski(X0,sK490(X0,X2,X1)),k2_tarski(sK490(X0,X2,X1),sK490(X0,X2,X1))),X1)
| ~ v1_relat_1(X1)
| ~ r2_hidden(X0,k9_relat_1(X1,X2)) ),
inference(demodulation,[status(thm)],[c_3168,c_49,c_2707]) ).
tcf(c_63734,plain,
! [X0: $i] :
( v2_funct_1(X0)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0)
| ( k1_setfam_1(k2_tarski(k9_relat_1(X0,sK444(X0)),k9_relat_1(X0,sK445(X0)))) != k9_relat_1(X0,k1_setfam_1(k2_tarski(sK444(X0),sK445(X0)))) ) ),
inference(demodulation,[status(thm)],[c_2868,c_2707,c_48896]) ).
tcf(c_63803,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = np__0 )
| ( k2_tarski(X2,X2) = X0 )
| ( k2_tarski(X1,X2) = X0 )
| ( k2_tarski(X1,X1) = X0 )
| ( k4_xboole_0(X0,k2_tarski(X1,X2)) != np__0 ) ),
inference(demodulation,[status(thm)],[c_2662,c_49]) ).
tcf(c_63939,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(k1_funct_1(sK267(X1,X2),X0),k4_xboole_0(X1,k2_tarski(X2,X2)))
| ~ m1_subset_1(X2,X1)
| ~ r2_hidden(X0,k2_zfmisc_1(k4_xboole_0(X1,k2_tarski(X2,X2)),k4_xboole_0(X1,k2_tarski(X2,X2)))) ),
inference(demodulation,[status(thm)],[c_1706,c_49]) ).
tcf(c_64347,plain,
! [X0: $i,X1: $i] :
( ( k2_tarski(sK440(X1,X0),sK440(X1,X0)) = k10_relat_1(X1,k2_tarski(X0,X0)) )
| ~ v2_funct_1(X1)
| ~ v1_relat_1(X1)
| ~ v1_funct_1(X1)
| ~ r2_hidden(X0,k2_relat_1(X1)) ),
inference(demodulation,[status(thm)],[c_2863,c_49]) ).
tcf(c_64363,plain,
! [X0: $i,X1: $i] :
( r2_hidden(sK343(X1,X0),X1)
| r2_hidden(k2_tarski(k2_tarski(sK343(X1,X0),sK343(X1,X0)),k2_tarski(sK343(X1,X0),sK344(X1,X0))),X0)
| ( k6_partfun1(X1) = X0 )
| ~ v1_relat_1(X0) ),
inference(demodulation,[status(thm)],[c_2206,c_49,c_2707]) ).
tcf(c_64376,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(sK325(X2,X1),k1_relat_1(X2))
| ( k7_relat_1(X1,X0) = X2 )
| ~ v1_relat_1(X2)
| ~ v1_relat_1(X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X1)
| ( k1_setfam_1(k2_tarski(X0,k1_relat_1(X1))) != k1_relat_1(X2) ) ),
inference(demodulation,[status(thm)],[c_2030,c_48896]) ).
tcf(c_64438,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r2_hidden(k2_tarski(k2_tarski(X1,X0),k2_tarski(X1,X1)),X2)
| ~ v3_relat_2(X2)
| ~ v1_partfun1(X2,X3,X3)
| ~ m2_relset_1(X2,X3,X3)
| ~ r2_hidden(k2_tarski(k2_tarski(X0,X1),k2_tarski(X0,X0)),X2) ),
inference(demodulation,[status(thm)],[c_1141,c_49]) ).
tcf(c_64554,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k2_tarski(k2_tarski(sK169(X1,X2,X0),sK169(X1,X2,X0)),k2_tarski(sK169(X1,X2,X0),sK170(X1,X2,X0))) = X0 )
| ~ r2_hidden(X0,k2_zfmisc_1(X1,X2)) ),
inference(demodulation,[status(thm)],[c_7382,c_49,c_2707]) ).
tcf(c_64561,plain,
! [X0: $i,X1: $i] :
( r2_hidden(sK139(X0,X1),X1)
| r2_hidden(k2_tarski(k2_tarski(sK139(X0,X1),sK139(X0,X1)),k2_tarski(sK139(X0,X1),sK140(X0,X1))),X0)
| ( k1_relat_1(X0) = X1 )
| ~ v1_relat_1(X0) ),
inference(demodulation,[status(thm)],[c_777,c_49,c_2707]) ).
tcf(c_64574,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k1_relat_1(X0) = X1 )
| ~ v1_relat_1(X0)
| ~ r2_hidden(sK139(X0,X1),X1)
| ~ r2_hidden(k2_tarski(k2_tarski(sK139(X0,X1),X2),k2_tarski(sK139(X0,X1),sK139(X0,X1))),X0) ),
inference(demodulation,[status(thm)],[c_776,c_49]) ).
tcf(c_64587,plain,
! [X0: $i,X1: $i] :
( r2_hidden(sK118(X0,X1),X1)
| r2_hidden(k2_tarski(k2_tarski(sK119(X0,X1),sK119(X0,X1)),k2_tarski(sK119(X0,X1),sK118(X0,X1))),X0)
| ( k2_relat_1(X0) = X1 )
| ~ v1_relat_1(X0) ),
inference(demodulation,[status(thm)],[c_741,c_49,c_2707]) ).
tcf(c_64628,plain,
! [X0: $i,X1: $i,X2: $i] :
( v4_pre_topc(k1_setfam_1(k2_tarski(k2_pre_topc(X0),X1)),X0)
| ~ l1_pre_topc(X2)
| ~ m1_pre_topc(X0,X2)
| ~ v4_pre_topc(X1,X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X2)))
| ~ m1_subset_1(k1_setfam_1(k2_tarski(k2_pre_topc(X0),X1)),k1_zfmisc_1(u1_struct_0(X0))) ),
inference(demodulation,[status(thm)],[c_343,c_48896]) ).
tcf(c_64647,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k1_funct_1(X1,X0) = k1_funct_1(X2,X0) )
| ~ v1_relat_1(X2)
| ~ v1_relat_1(X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X1)
| ~ v1_funct_1(k3_tarski(k2_tarski(X2,X1)))
| ~ r2_hidden(X0,k1_setfam_1(k2_tarski(k1_relat_1(X1),k1_relat_1(X2)))) ),
inference(demodulation,[status(thm)],[c_19196,c_48896]) ).
tcf(c_65095,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( k2_zfmisc_1(X2,X3) = X4 )
| ~ r2_hidden(X1,X3)
| ~ r2_hidden(X0,X2)
| ~ r2_hidden(sK166(X2,X3,X4),X4)
| ( k2_tarski(k2_tarski(X0,X1),k2_tarski(X0,X0)) != sK166(X2,X3,X4) ) ),
inference(demodulation,[status(thm)],[c_818,c_49]) ).
tcf(c_65173,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r2_hidden(k1_funct_1(X3,X0),k4_xboole_0(X1,k2_tarski(X2,X2)))
| ~ m1_subset_1(X2,X1)
| ~ m3_realset1(X3,X1,X2)
| ~ r2_hidden(X0,k2_zfmisc_1(k4_xboole_0(X1,k2_tarski(X2,X2)),k4_xboole_0(X1,k2_tarski(X2,X2)))) ),
inference(demodulation,[status(thm)],[c_20435,c_49]) ).
tcf(c_65529,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( k2_tarski(k2_tarski(sK162(X1,X2,X3),sK162(X1,X2,X3)),k2_tarski(sK162(X1,X2,X3),sK163(X1,X2,X3))) = X3 )
| ~ r2_hidden(X3,X0)
| ~ m1_relset_1(X0,X1,X2) ),
inference(demodulation,[status(thm)],[c_14185,c_49,c_2707]) ).
tcf(c_65539,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( k2_tarski(k2_tarski(sK128(X1,X2,X3),sK128(X1,X2,X3)),k2_tarski(sK128(X1,X2,X3),sK129(X1,X2,X3))) = X3 )
| ~ r2_hidden(X3,X0)
| ~ m1_relset_1(X0,X1,X2) ),
inference(demodulation,[status(thm)],[c_14178,c_49,c_2707]) ).
tcf(c_65549,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( k2_tarski(k2_tarski(sK122(X1,X2,X3),sK122(X1,X2,X3)),k2_tarski(sK122(X1,X2,X3),sK123(X1,X2,X3))) = X3 )
| ~ r2_hidden(X3,X0)
| ~ m1_relset_1(X0,X1,X2) ),
inference(demodulation,[status(thm)],[c_14175,c_49,c_2707]) ).
tcf(c_65559,plain,
! [X0: $i,X1: $i] :
( ( k2_tarski(k2_tarski(sK579(X0,X1),sK579(X0,X1)),k2_tarski(sK579(X0,X1),k1_funct_1(X1,sK579(X0,X1)))) = X0 )
| ~ v1_finseq_1(X1)
| ~ v1_relat_1(X1)
| ~ v1_funct_1(X1)
| ~ r2_hidden(X0,X1) ),
inference(demodulation,[status(thm)],[c_3806,c_49,c_2707]) ).
tcf(c_65811,plain,
! [X0: $i,X1: $i] :
( r2_hidden(k2_tarski(k2_tarski(sK343(X1,X0),sK343(X1,X0)),k2_tarski(sK343(X1,X0),sK344(X1,X0))),X0)
| ( k6_partfun1(X1) = X0 )
| ( sK343(X1,X0) = sK344(X1,X0) )
| ~ v1_relat_1(X0) ),
inference(demodulation,[status(thm)],[c_2207,c_49,c_2707]) ).
tcf(c_66298,plain,
! [X0: $i,X1: $i,X2: $i] :
( m3_realset1(X0,X1,X2)
| ~ v1_funct_1(X0)
| ~ m1_subset_1(X2,X1)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1)
| ~ r2_hidden(k1_funct_1(X0,sK324(X1,X2,X0)),k4_xboole_0(X1,k2_tarski(X2,X2))) ),
inference(demodulation,[status(thm)],[c_2011,c_49]) ).
tcf(c_66427,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_tarski(X2,X3)
| r2_hidden(k2_tarski(k2_tarski(sK154(X2,X3),sK154(X2,X3)),k2_tarski(sK154(X2,X3),sK155(X2,X3))),X2)
| ( k2_tarski(k2_tarski(X0,X1),k2_tarski(X0,X0)) != sK153(X2) ) ),
inference(demodulation,[status(thm)],[c_801,c_49,c_2707]) ).
tcf(c_66491,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( r2_hidden(k2_tarski(k2_tarski(X0,X4),k2_tarski(X0,X0)),X2)
| ~ v8_relat_2(X2)
| ~ v3_relat_2(X2)
| ~ v1_partfun1(X2,X1,X1)
| ~ m2_relset_1(X2,X1,X1)
| ~ r2_hidden(X4,k6_eqrel_1(X1,X2,X3))
| ~ r2_hidden(X0,k6_eqrel_1(X1,X2,X3)) ),
inference(demodulation,[status(thm)],[c_26174,c_49]) ).
tcf(c_66717,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_tarski(X2,X3)
| ~ r2_hidden(k2_tarski(k2_tarski(sK154(X2,X3),sK154(X2,X3)),k2_tarski(sK154(X2,X3),sK155(X2,X3))),X3)
| ( k2_tarski(k2_tarski(X0,X1),k2_tarski(X0,X0)) != sK153(X2) ) ),
inference(demodulation,[status(thm)],[c_800,c_49,c_2707]) ).
tcf(c_66995,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k4_xboole_0(k2_tarski(X0,X1),X2) = np__0 )
| ( k4_xboole_0(k2_tarski(X0,X1),X2) = k2_tarski(X1,X1) )
| ( k4_xboole_0(k2_tarski(X0,X1),X2) = k2_tarski(X0,X1) )
| ( k4_xboole_0(k2_tarski(X0,X1),X2) = k2_tarski(X0,X0) ) ),
inference(demodulation,[status(thm)],[c_2663,c_49]) ).
tcf(c_67008,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( k6_eqrel_1(X3,X2,X0) = k6_eqrel_1(X3,X2,X1) )
| ~ v8_relat_2(X2)
| ~ v3_relat_2(X2)
| ~ r2_hidden(X0,X3)
| ~ v1_partfun1(X2,X3,X3)
| ~ m2_relset_1(X2,X3,X3)
| ~ r2_hidden(k2_tarski(k2_tarski(X0,X1),k2_tarski(X0,X0)),X2) ),
inference(demodulation,[status(thm)],[c_2389,c_49]) ).
tcf(c_67030,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r2_hidden(k2_tarski(k2_tarski(X2,X3),k2_tarski(X2,X2)),X1)
| ~ v8_relat_2(X1)
| ~ v3_relat_2(X1)
| ~ r2_hidden(X2,X0)
| ~ v1_partfun1(X1,X0,X0)
| ~ m2_relset_1(X1,X0,X0)
| ( k6_eqrel_1(X0,X1,X2) != k6_eqrel_1(X0,X1,X3) ) ),
inference(demodulation,[status(thm)],[c_2388,c_49]) ).
tcf(c_67148,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( r2_hidden(k1_funct_1(X0,k2_tarski(k2_tarski(X4,X5),k2_tarski(X4,X4))),X3)
| ( X3 = np__0 )
| ~ v1_funct_1(X0)
| ~ r2_hidden(X5,X2)
| ~ r2_hidden(X4,X1)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X2),X3)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X2),X3) ),
inference(demodulation,[status(thm)],[c_639,c_49]) ).
tcf(c_67170,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2 = np__0 )
| ( k2_tarski(k1_funct_1(X0,X1),k1_funct_1(X0,X1)) = k2_relat_1(X0) )
| ~ v1_funct_1(X0)
| ~ m2_relset_1(X0,k2_tarski(X1,X1),X2)
| ~ v1_funct_2(X0,k2_tarski(X1,X1),X2) ),
inference(demodulation,[status(thm)],[c_94,c_49]) ).
tcf(c_67198,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( r2_hidden(k2_tarski(k2_tarski(X0,X3),k2_tarski(X0,X0)),k5_relat_1(X2,X4))
| ~ v1_relat_1(X4)
| ~ v1_relat_1(X2)
| ~ r2_hidden(k2_tarski(k2_tarski(X1,X3),k2_tarski(X1,X1)),X4)
| ~ r2_hidden(k2_tarski(k2_tarski(X0,X1),k2_tarski(X0,X0)),X2) ),
inference(demodulation,[status(thm)],[c_19174,c_49]) ).
tcf(c_67250,plain,
! [X0: $i,X1: $i] : k3_relat_1(k2_zfmisc_1(k2_tarski(X0,X0),k2_tarski(X1,X1))) = k2_tarski(X0,X1),
inference(demodulation,[status(thm)],[c_6548,c_49,c_61307]) ).
tcf(c_67353,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k7_relat_1(X1,X2) = X0 )
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X0)
| ( k1_setfam_1(k2_tarski(X2,k1_relat_1(X1))) != k1_relat_1(X0) )
| ( k1_funct_1(X0,sK325(X0,X1)) != k1_funct_1(X1,sK325(X0,X1)) ) ),
inference(demodulation,[status(thm)],[c_2029,c_48896]) ).
tcf(c_67421,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_realset1(X1)
| m2_relset_1(k1_realset1(X0,k4_xboole_0(X1,k2_tarski(X2,X2))),k2_zfmisc_1(k4_xboole_0(X1,k2_tarski(X2,X2)),k4_xboole_0(X1,k2_tarski(X2,X2))),k4_xboole_0(X1,k2_tarski(X2,X2)))
| ~ m1_subset_1(X2,X1)
| ~ m3_realset1(X0,X1,X2) ),
inference(demodulation,[status(thm)],[c_1000,c_49]) ).
tcf(c_67434,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_realset1(X1)
| v1_funct_2(k1_realset1(X0,k4_xboole_0(X1,k2_tarski(X2,X2))),k2_zfmisc_1(k4_xboole_0(X1,k2_tarski(X2,X2)),k4_xboole_0(X1,k2_tarski(X2,X2))),k4_xboole_0(X1,k2_tarski(X2,X2)))
| ~ m1_subset_1(X2,X1)
| ~ m3_realset1(X0,X1,X2) ),
inference(demodulation,[status(thm)],[c_999,c_49]) ).
tcf(c_67447,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X2 )
| ~ v1_relat_1(X2)
| ~ v1_relat_1(X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X1)
| ( k1_relat_1(X1) != k1_relat_1(X2) )
| ( k2_tarski(X0,X0) != k2_relat_1(X2) )
| ( k2_tarski(X0,X0) != k2_relat_1(X1) ) ),
inference(demodulation,[status(thm)],[c_99,c_49]) ).
tcf(c_67548,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(sK491(X0,X1,X2),X2)
| r2_hidden(k2_tarski(k2_tarski(sK492(X0,X1,X2),sK492(X0,X1,X2)),k2_tarski(sK492(X0,X1,X2),sK491(X0,X1,X2))),X0)
| ( k9_relat_1(X0,X1) = X2 )
| ~ v1_relat_1(X0) ),
inference(demodulation,[status(thm)],[c_3171,c_49,c_2707]) ).
tcf(c_67561,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(sK484(X0,X1,X2),X2)
| r2_hidden(k2_tarski(k2_tarski(sK484(X0,X1,X2),sK484(X0,X1,X2)),k2_tarski(sK484(X0,X1,X2),sK485(X0,X1,X2))),X0)
| ( k10_relat_1(X0,X1) = X2 )
| ~ v1_relat_1(X0) ),
inference(demodulation,[status(thm)],[c_3131,c_49,c_2707]) ).
tcf(c_67802,plain,
! [X0: $i,X1: $i] : k1_relat_1(k2_zfmisc_1(k2_tarski(X0,X0),k2_tarski(X1,X1))) = k2_tarski(X0,X0),
inference(demodulation,[status(thm)],[c_6554,c_49,c_61307]) ).
tcf(c_67803,plain,
! [X0: $i,X1: $i] : k2_relat_1(k2_zfmisc_1(k2_tarski(X0,X0),k2_tarski(X1,X1))) = k2_tarski(X1,X1),
inference(demodulation,[status(thm)],[c_6551,c_49,c_61307]) ).
tcf(c_67936,plain,
! [X0: $i,X1: $i,X2: $i] :
( m3_realset1(X0,X1,X2)
| r2_hidden(sK324(X1,X2,X0),k2_zfmisc_1(k4_xboole_0(X1,k2_tarski(X2,X2)),k4_xboole_0(X1,k2_tarski(X2,X2))))
| ~ v1_funct_1(X0)
| ~ m1_subset_1(X2,X1)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1) ),
inference(demodulation,[status(thm)],[c_2012,c_49]) ).
tcf(c_68039,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(sK166(X0,X1,X2),X2)
| ( k2_zfmisc_1(X0,X1) = X2 )
| ( k2_tarski(k2_tarski(sK167(X0,X1,X2),sK167(X0,X1,X2)),k2_tarski(sK167(X0,X1,X2),sK168(X0,X1,X2))) = sK166(X0,X1,X2) ) ),
inference(demodulation,[status(thm)],[c_821,c_49,c_2707]) ).
tcf(c_68189,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : k2_enumset1(k2_tarski(k2_tarski(X0,X1),k2_tarski(X0,X0)),k2_tarski(k2_tarski(X0,X2),k2_tarski(X0,X0)),k2_tarski(k2_tarski(X3,X1),k2_tarski(X3,X3)),k2_tarski(k2_tarski(X3,X2),k2_tarski(X3,X3))) = k2_zfmisc_1(k2_tarski(X0,X3),k2_tarski(X1,X2)),
inference(demodulation,[status(thm)],[c_3608,c_49]) ).
tcf(c_68210,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_realset2(X1)
| v3_struct_0(X1)
| ( k1_setfam_1(k2_tarski(k1_funct_1(k8_lopclset(X1),X2),k1_funct_1(k8_lopclset(X1),X0))) = k1_funct_1(k8_lopclset(X1),k4_lattices(X1,X0,X2)) )
| ~ l3_lattices(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(demodulation,[status(thm)],[c_1758,c_48896]) ).
tcf(c_68249,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X0 = X3 )
| ~ v1_funct_1(X3)
| ~ v1_funct_1(X0)
| ~ m2_relset_1(X3,X1,k2_tarski(X2,X2))
| ~ m2_relset_1(X0,X1,k2_tarski(X2,X2))
| ~ v1_funct_2(X3,X1,k2_tarski(X2,X2))
| ~ v1_funct_2(X0,X1,k2_tarski(X2,X2)) ),
inference(demodulation,[status(thm)],[c_92,c_49]) ).
tcf(c_68311,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(sK521(X2,X0,X1),X2)
| r2_hidden(k2_tarski(k2_tarski(sK520(X2,X0,X1),sK520(X2,X0,X1)),k2_tarski(sK520(X2,X0,X1),sK521(X2,X0,X1))),X1)
| ( k8_relat_1(X2,X0) = X1 )
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0) ),
inference(demodulation,[status(thm)],[c_3320,c_49,c_2707]) ).
tcf(c_68327,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( k10_relat_1(X0,X1) = X2 )
| ~ v1_relat_1(X0)
| ~ r2_hidden(X3,X1)
| ~ r2_hidden(sK484(X0,X1,X2),X2)
| ~ r2_hidden(k2_tarski(k2_tarski(sK484(X0,X1,X2),X3),k2_tarski(sK484(X0,X1,X2),sK484(X0,X1,X2))),X0) ),
inference(demodulation,[status(thm)],[c_3130,c_49]) ).
tcf(c_68403,plain,
! [X0: $i,X1: $i] :
( ( k6_partfun1(X0) = X1 )
| ~ v1_relat_1(X1)
| ~ r2_hidden(sK343(X0,X1),X0)
| ~ r2_hidden(k2_tarski(k2_tarski(sK343(X0,X1),sK343(X0,X1)),k2_tarski(sK343(X0,X1),sK344(X0,X1))),X1)
| ( sK343(X0,X1) != sK344(X0,X1) ) ),
inference(demodulation,[status(thm)],[c_2205,c_49,c_2707]) ).
tcf(c_68419,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(sK326(X0,X2,X1),X2)
| r2_hidden(k2_tarski(k2_tarski(sK326(X0,X2,X1),sK326(X0,X2,X1)),k2_tarski(sK326(X0,X2,X1),sK327(X0,X2,X1))),X1)
| ( k7_relat_1(X0,X2) = X1 )
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0) ),
inference(demodulation,[status(thm)],[c_2073,c_49,c_2707]) ).
tcf(c_68599,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_tarski(k2_funct_2(k2_tarski(X1,X1),X2,X0,X3),k2_tarski(k1_funct_1(X0,X1),k1_funct_1(X0,X1)))
| ( X2 = np__0 )
| ~ v1_funct_1(X0)
| ~ m2_relset_1(X0,k2_tarski(X1,X1),X2)
| ~ v1_funct_2(X0,k2_tarski(X1,X1),X2) ),
inference(demodulation,[status(thm)],[c_3191,c_49]) ).
tcf(c_68629,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( r2_hidden(k2_tarski(k2_tarski(X0,X3),k2_tarski(X0,X0)),X2)
| ~ v8_relat_2(X2)
| ~ v1_partfun1(X2,X4,X4)
| ~ m2_relset_1(X2,X4,X4)
| ~ r2_hidden(k2_tarski(k2_tarski(X1,X3),k2_tarski(X1,X1)),X2)
| ~ r2_hidden(k2_tarski(k2_tarski(X0,X1),k2_tarski(X0,X0)),X2) ),
inference(demodulation,[status(thm)],[c_1147,c_49]) ).
tcf(c_68764,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( m2_relset_1(k2_zfmisc_1(k2_tarski(X0,X0),k2_tarski(X2,X2)),X1,X3)
| ~ r2_hidden(X2,X3)
| ~ r2_hidden(X0,X1) ),
inference(demodulation,[status(thm)],[c_98,c_49,c_61307]) ).
tcf(c_69350,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r2_hidden(k2_tarski(k2_tarski(X1,sK354(X2,X3,X0,X1)),k2_tarski(sK354(X2,X3,X0,X1),sK354(X2,X3,X0,X1))),X3)
| ~ v1_relat_1(X3)
| ~ v1_relat_1(X2)
| ~ r2_hidden(k2_tarski(k2_tarski(X0,X1),k2_tarski(X0,X0)),k5_relat_1(X2,X3)) ),
inference(demodulation,[status(thm)],[c_19173,c_49,c_2707]) ).
tcf(c_69803,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v1_xboole_0(X2)
| v1_xboole_0(X1)
| ( k2_tarski(k8_funct_2(X1,X2,X0,X3),k8_funct_2(X1,X2,X0,X3)) = k2_funct_2(X1,X2,X0,k2_tarski(X3,X3)) )
| ~ v1_funct_1(X0)
| ~ m1_subset_1(X3,X1)
| ~ m1_relset_1(X0,X1,X2)
| ~ v1_funct_2(X0,X1,X2) ),
inference(demodulation,[status(thm)],[c_14285,c_49]) ).
tcf(c_70459,plain,
! [X0: $i,X1: $i,X2: $i] : k4_xboole_0(k4_xboole_0(k3_tarski(k2_tarski(X0,X1)),k4_xboole_0(k3_tarski(k2_tarski(X0,X1)),k3_tarski(k2_tarski(X1,X2)))),k4_xboole_0(k4_xboole_0(k3_tarski(k2_tarski(X0,X1)),k4_xboole_0(k3_tarski(k2_tarski(X0,X1)),k3_tarski(k2_tarski(X1,X2)))),k3_tarski(k2_tarski(X2,X0)))) = k3_tarski(k2_tarski(k3_tarski(k2_tarski(k1_setfam_1(k2_tarski(X1,X0)),k4_xboole_0(X1,k4_xboole_0(X1,X2)))),k4_xboole_0(X2,k4_xboole_0(X2,X0)))),
inference(light_normalisation,[status(thm)],[c_407,c_48896]) ).
tcf(c_70460,plain,
! [X0: $i,X1: $i,X2: $i] : k3_tarski(k2_tarski(k1_setfam_1(k2_tarski(X0,X1)),k3_tarski(k2_tarski(k1_setfam_1(k2_tarski(X2,X0)),k1_setfam_1(k2_tarski(X1,X2)))))) = k1_setfam_1(k2_tarski(k3_tarski(k2_tarski(X2,X1)),k1_setfam_1(k2_tarski(k3_tarski(k2_tarski(X0,X2)),k3_tarski(k2_tarski(X1,X0)))))),
inference(demodulation,[status(thm)],[c_70459,c_500,c_48896]) ).
tcf(c_70565,plain,
! [X0: $i,X1: $i] :
( r2_hidden(k2_tarski(k2_tarski(sK144(X0,X1),sK144(X0,X1)),k2_tarski(sK144(X0,X1),sK145(X0,X1))),X1)
| r2_hidden(k2_tarski(k2_tarski(sK144(X0,X1),sK144(X0,X1)),k2_tarski(sK144(X0,X1),sK145(X0,X1))),X0)
| ( X0 = X1 )
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0) ),
inference(demodulation,[status(thm)],[c_784,c_49,c_2707]) ).
tcf(c_70581,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( k2_tarski(k2_tarski(sK60(X0,X3,X4,X1,X2),sK60(X0,X3,X4,X1,X2)),k2_tarski(sK60(X0,X3,X4,X1,X2),sK61(X0,X3,X4,X1,X2))) = X0 )
| ~ r2_hidden(X0,k1_setfam_1(k2_tarski(k2_zfmisc_1(X1,X2),k2_zfmisc_1(X3,X4)))) ),
inference(demodulation,[status(thm)],[c_7384,c_49,c_2707,c_48896]) ).
tcf(c_70684,plain,
! [X0: $i,X1: $i] :
( r2_hidden(k2_tarski(k2_tarski(sK527(X0,X1),sK526(X0,X1)),k2_tarski(sK526(X0,X1),sK526(X0,X1))),X1)
| r2_hidden(k2_tarski(k2_tarski(sK527(X0,X1),sK527(X0,X1)),k2_tarski(sK527(X0,X1),sK526(X0,X1))),X0)
| ( k4_relat_1(X0) = X1 )
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0) ),
inference(demodulation,[status(thm)],[c_3385,c_49,c_2707]) ).
tcf(c_70926,plain,
! [X0: $i,X1: $i] :
( r2_hidden(sK150(X1),X1)
| r2_hidden(sK149(X0),X0)
| r2_hidden(k2_tarski(k2_tarski(sK151(X0,X1),sK151(X0,X1)),k2_tarski(sK151(X0,X1),sK152(X0,X1))),X1)
| r2_hidden(k2_tarski(k2_tarski(sK151(X0,X1),sK151(X0,X1)),k2_tarski(sK151(X0,X1),sK152(X0,X1))),X0)
| ( X0 = X1 ) ),
inference(demodulation,[status(thm)],[c_791,c_49,c_2707]) ).
tcf(c_70942,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0)
| ~ r2_hidden(k2_tarski(k2_tarski(sK144(X0,X1),sK144(X0,X1)),k2_tarski(sK144(X0,X1),sK145(X0,X1))),X1)
| ~ r2_hidden(k2_tarski(k2_tarski(sK144(X0,X1),sK144(X0,X1)),k2_tarski(sK144(X0,X1),sK145(X0,X1))),X0) ),
inference(demodulation,[status(thm)],[c_783,c_49,c_2707]) ).
tcf(c_71050,plain,
! [X0: $i,X1: $i] :
( ( k4_relat_1(X0) = X1 )
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0)
| ~ r2_hidden(k2_tarski(k2_tarski(sK527(X0,X1),sK526(X0,X1)),k2_tarski(sK526(X0,X1),sK526(X0,X1))),X1)
| ~ r2_hidden(k2_tarski(k2_tarski(sK527(X0,X1),sK527(X0,X1)),k2_tarski(sK527(X0,X1),sK526(X0,X1))),X0) ),
inference(demodulation,[status(thm)],[c_3384,c_49,c_2707]) ).
tcf(c_71066,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(k2_tarski(k2_tarski(sK508(X0,X1,X2),sK508(X0,X1,X2)),k2_tarski(sK508(X0,X1,X2),sK509(X0,X1,X2))),k1_relat_1(X1))
| ( k3_funct_4(X0,X1) = X2 )
| ~ v1_relat_1(X2)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X0)
| ~ sP28(X0,X1,X2) ),
inference(demodulation,[status(thm)],[c_3222,c_49,c_2707]) ).
tcf(c_71094,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(k2_tarski(k2_tarski(sK506(X0,X1,X2),sK506(X0,X1,X2)),k2_tarski(sK506(X0,X1,X2),sK507(X0,X1,X2))),k1_relat_1(X0))
| ( k3_funct_4(X0,X1) = X2 )
| ~ v1_relat_1(X2)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X0)
| ~ sP28(X0,X1,X2) ),
inference(demodulation,[status(thm)],[c_3221,c_49,c_2707]) ).
tcf(c_71224,plain,
! [X0: $i,X1: $i] :
( r2_hidden(sK150(X1),X1)
| r2_hidden(sK149(X0),X0)
| ( X0 = X1 )
| ~ r2_hidden(k2_tarski(k2_tarski(sK151(X0,X1),sK151(X0,X1)),k2_tarski(sK151(X0,X1),sK152(X0,X1))),X1)
| ~ r2_hidden(k2_tarski(k2_tarski(sK151(X0,X1),sK151(X0,X1)),k2_tarski(sK151(X0,X1),sK152(X0,X1))),X0) ),
inference(demodulation,[status(thm)],[c_790,c_49,c_2707]) ).
tcf(c_71260,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( r2_hidden(k2_tarski(k2_tarski(sK156(X3,X0),sK156(X3,X0)),k2_tarski(sK156(X3,X0),sK157(X3,X0))),X3)
| r2_hidden(k2_tarski(k2_tarski(sK156(X3,X0),sK156(X3,X0)),k2_tarski(sK156(X3,X0),sK157(X3,X0))),X0)
| ( X0 = X3 )
| ~ m1_relset_1(X3,X4,X5)
| ~ r1_tarski(X0,k2_zfmisc_1(X1,X2)) ),
inference(demodulation,[status(thm)],[c_14181,c_49,c_2707]) ).
tcf(c_71640,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( X0 = X1 )
| ~ r1_tarski(X1,k2_zfmisc_1(X4,X5))
| ~ r1_tarski(X0,k2_zfmisc_1(X2,X3))
| ~ r2_hidden(k2_tarski(k2_tarski(sK156(X0,X1),sK156(X0,X1)),k2_tarski(sK156(X0,X1),sK157(X0,X1))),X1)
| ~ r2_hidden(k2_tarski(k2_tarski(sK156(X0,X1),sK156(X0,X1)),k2_tarski(sK156(X0,X1),sK157(X0,X1))),X0) ),
inference(demodulation,[status(thm)],[c_802,c_49,c_2707]) ).
tcf(c_72104,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r2_hidden(sK150(X3),X3)
| r2_hidden(k2_tarski(k2_tarski(sK151(X2,X3),sK151(X2,X3)),k2_tarski(sK151(X2,X3),sK152(X2,X3))),X3)
| r2_hidden(k2_tarski(k2_tarski(sK151(X2,X3),sK151(X2,X3)),k2_tarski(sK151(X2,X3),sK152(X2,X3))),X2)
| ( X2 = X3 )
| ( k2_tarski(k2_tarski(X0,X1),k2_tarski(X0,X0)) != sK149(X2) ) ),
inference(demodulation,[status(thm)],[c_795,c_49,c_2707]) ).
tcf(c_72120,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r2_hidden(sK149(X3),X3)
| r2_hidden(k2_tarski(k2_tarski(sK151(X3,X2),sK151(X3,X2)),k2_tarski(sK151(X3,X2),sK152(X3,X2))),X3)
| r2_hidden(k2_tarski(k2_tarski(sK151(X3,X2),sK151(X3,X2)),k2_tarski(sK151(X3,X2),sK152(X3,X2))),X2)
| ( X2 = X3 )
| ( k2_tarski(k2_tarski(X0,X1),k2_tarski(X0,X0)) != sK150(X2) ) ),
inference(demodulation,[status(thm)],[c_793,c_49,c_2707]) ).
tcf(c_72386,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(k2_tarski(k2_tarski(sK520(X2,X0,X1),sK520(X2,X0,X1)),k2_tarski(sK520(X2,X0,X1),sK521(X2,X0,X1))),X1)
| r2_hidden(k2_tarski(k2_tarski(sK520(X2,X0,X1),sK520(X2,X0,X1)),k2_tarski(sK520(X2,X0,X1),sK521(X2,X0,X1))),X0)
| ( k8_relat_1(X2,X0) = X1 )
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0) ),
inference(demodulation,[status(thm)],[c_3321,c_49,c_2707]) ).
tcf(c_72468,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(k2_tarski(k2_tarski(sK326(X0,X2,X1),sK326(X0,X2,X1)),k2_tarski(sK326(X0,X2,X1),sK327(X0,X2,X1))),X1)
| r2_hidden(k2_tarski(k2_tarski(sK326(X0,X2,X1),sK326(X0,X2,X1)),k2_tarski(sK326(X0,X2,X1),sK327(X0,X2,X1))),X0)
| ( k7_relat_1(X0,X2) = X1 )
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0) ),
inference(demodulation,[status(thm)],[c_2074,c_49,c_2707]) ).
tcf(c_72510,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r2_hidden(sK150(X3),X3)
| ( X2 = X3 )
| ~ r2_hidden(k2_tarski(k2_tarski(sK151(X2,X3),sK151(X2,X3)),k2_tarski(sK151(X2,X3),sK152(X2,X3))),X3)
| ~ r2_hidden(k2_tarski(k2_tarski(sK151(X2,X3),sK151(X2,X3)),k2_tarski(sK151(X2,X3),sK152(X2,X3))),X2)
| ( k2_tarski(k2_tarski(X0,X1),k2_tarski(X0,X0)) != sK149(X2) ) ),
inference(demodulation,[status(thm)],[c_794,c_49,c_2707]) ).
tcf(c_72526,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r2_hidden(sK149(X3),X3)
| ( X2 = X3 )
| ~ r2_hidden(k2_tarski(k2_tarski(sK151(X3,X2),sK151(X3,X2)),k2_tarski(sK151(X3,X2),sK152(X3,X2))),X3)
| ~ r2_hidden(k2_tarski(k2_tarski(sK151(X3,X2),sK151(X3,X2)),k2_tarski(sK151(X3,X2),sK152(X3,X2))),X2)
| ( k2_tarski(k2_tarski(X0,X1),k2_tarski(X0,X0)) != sK150(X2) ) ),
inference(demodulation,[status(thm)],[c_792,c_49,c_2707]) ).
tcf(c_72622,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(k2_tarski(k2_tarski(sK353(X0,X1,X2),sK353(X0,X1,X2)),k2_tarski(sK353(X0,X1,X2),sK352(X0,X1,X2))),X1)
| r2_hidden(k2_tarski(k2_tarski(sK351(X0,X1,X2),sK351(X0,X1,X2)),k2_tarski(sK351(X0,X1,X2),sK352(X0,X1,X2))),X2)
| ( k5_relat_1(X0,X1) = X2 )
| ~ v1_relat_1(X2)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0) ),
inference(demodulation,[status(thm)],[c_2283,c_49,c_2707]) ).
tcf(c_72641,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(k2_tarski(k2_tarski(sK351(X0,X1,X2),sK351(X0,X1,X2)),k2_tarski(sK351(X0,X1,X2),sK353(X0,X1,X2))),X0)
| r2_hidden(k2_tarski(k2_tarski(sK351(X0,X1,X2),sK351(X0,X1,X2)),k2_tarski(sK351(X0,X1,X2),sK352(X0,X1,X2))),X2)
| ( k5_relat_1(X0,X1) = X2 )
| ~ v1_relat_1(X2)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0) ),
inference(demodulation,[status(thm)],[c_2282,c_49,c_2707]) ).
tcf(c_72926,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( r2_hidden(k2_tarski(k2_tarski(sK151(X2,X5),sK151(X2,X5)),k2_tarski(sK151(X2,X5),sK152(X2,X5))),X5)
| r2_hidden(k2_tarski(k2_tarski(sK151(X2,X5),sK151(X2,X5)),k2_tarski(sK151(X2,X5),sK152(X2,X5))),X2)
| ( X2 = X5 )
| ( k2_tarski(k2_tarski(X3,X4),k2_tarski(X3,X3)) != sK150(X5) )
| ( k2_tarski(k2_tarski(X0,X1),k2_tarski(X0,X0)) != sK149(X2) ) ),
inference(demodulation,[status(thm)],[c_797,c_49,c_2707]) ).
tcf(c_72970,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k8_relat_1(X0,X1) = X2 )
| ~ v1_relat_1(X2)
| ~ v1_relat_1(X1)
| ~ r2_hidden(sK521(X0,X1,X2),X0)
| ~ r2_hidden(k2_tarski(k2_tarski(sK520(X0,X1,X2),sK520(X0,X1,X2)),k2_tarski(sK520(X0,X1,X2),sK521(X0,X1,X2))),X2)
| ~ r2_hidden(k2_tarski(k2_tarski(sK520(X0,X1,X2),sK520(X0,X1,X2)),k2_tarski(sK520(X0,X1,X2),sK521(X0,X1,X2))),X1) ),
inference(demodulation,[status(thm)],[c_3319,c_49,c_2707]) ).
tcf(c_72989,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k7_relat_1(X0,X1) = X2 )
| ~ v1_relat_1(X2)
| ~ v1_relat_1(X0)
| ~ r2_hidden(sK326(X0,X1,X2),X1)
| ~ r2_hidden(k2_tarski(k2_tarski(sK326(X0,X1,X2),sK326(X0,X1,X2)),k2_tarski(sK326(X0,X1,X2),sK327(X0,X1,X2))),X2)
| ~ r2_hidden(k2_tarski(k2_tarski(sK326(X0,X1,X2),sK326(X0,X1,X2)),k2_tarski(sK326(X0,X1,X2),sK327(X0,X1,X2))),X0) ),
inference(demodulation,[status(thm)],[c_2072,c_49,c_2707]) ).
tcf(c_73072,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( X2 = X5 )
| ~ r2_hidden(k2_tarski(k2_tarski(sK151(X2,X5),sK151(X2,X5)),k2_tarski(sK151(X2,X5),sK152(X2,X5))),X5)
| ~ r2_hidden(k2_tarski(k2_tarski(sK151(X2,X5),sK151(X2,X5)),k2_tarski(sK151(X2,X5),sK152(X2,X5))),X2)
| ( k2_tarski(k2_tarski(X3,X4),k2_tarski(X3,X3)) != sK150(X5) )
| ( k2_tarski(k2_tarski(X0,X1),k2_tarski(X0,X0)) != sK149(X2) ) ),
inference(demodulation,[status(thm)],[c_796,c_49,c_2707]) ).
tcf(c_73316,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r2_hidden(k2_tarski(k2_tarski(sK160(X0,X1,X2,X3),sK160(X0,X1,X2,X3)),k2_tarski(sK160(X0,X1,X2,X3),sK161(X0,X1,X2,X3))),k2_zfmisc_1(X2,X3))
| r2_hidden(k2_tarski(k2_tarski(sK160(X0,X1,X2,X3),sK160(X0,X1,X2,X3)),k2_tarski(sK160(X0,X1,X2,X3),sK161(X0,X1,X2,X3))),k2_zfmisc_1(X0,X1))
| ( k2_zfmisc_1(X0,X1) = k2_zfmisc_1(X2,X3) ) ),
inference(demodulation,[status(thm)],[c_807,c_49,c_2707]) ).
tcf(c_73356,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( k2_zfmisc_1(X0,X1) = k2_zfmisc_1(X2,X3) )
| ~ r2_hidden(k2_tarski(k2_tarski(sK160(X0,X1,X2,X3),sK160(X0,X1,X2,X3)),k2_tarski(sK160(X0,X1,X2,X3),sK161(X0,X1,X2,X3))),k2_zfmisc_1(X2,X3))
| ~ r2_hidden(k2_tarski(k2_tarski(sK160(X0,X1,X2,X3),sK160(X0,X1,X2,X3)),k2_tarski(sK160(X0,X1,X2,X3),sK161(X0,X1,X2,X3))),k2_zfmisc_1(X0,X1)) ),
inference(demodulation,[status(thm)],[c_806,c_49,c_2707]) ).
tcf(c_73534,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( r2_hidden(k2_tarski(k2_tarski(X1,X3),k2_tarski(X1,X1)),k1_relat_1(X5))
| ~ v1_relat_1(X5)
| ~ v1_relat_1(X4)
| ~ v1_funct_1(X5)
| ~ v1_funct_1(X4)
| ~ r2_hidden(k2_tarski(k2_tarski(k2_tarski(k2_tarski(X0,X1),k2_tarski(X0,X0)),k2_tarski(k2_tarski(X2,X3),k2_tarski(X2,X2))),k2_zfmisc_1(k2_tarski(X0,X0),k2_tarski(X1,X1))),k1_relat_1(k3_funct_4(X4,X5))) ),
inference(demodulation,[status(thm)],[c_3211,c_49,c_61307]) ).
tcf(c_73553,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( r2_hidden(k2_tarski(k2_tarski(X0,X2),k2_tarski(X0,X0)),k1_relat_1(X4))
| ~ v1_relat_1(X5)
| ~ v1_relat_1(X4)
| ~ v1_funct_1(X5)
| ~ v1_funct_1(X4)
| ~ r2_hidden(k2_tarski(k2_tarski(k2_tarski(k2_tarski(X0,X1),k2_tarski(X0,X0)),k2_tarski(k2_tarski(X2,X3),k2_tarski(X2,X2))),k2_zfmisc_1(k2_tarski(X0,X0),k2_tarski(X1,X1))),k1_relat_1(k3_funct_4(X4,X5))) ),
inference(demodulation,[status(thm)],[c_3210,c_49,c_61307]) ).
tcf(c_73614,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( k5_relat_1(X0,X1) = X2 )
| ~ v1_relat_1(X2)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0)
| ~ r2_hidden(k2_tarski(k2_tarski(X3,sK352(X0,X1,X2)),k2_tarski(X3,X3)),X1)
| ~ r2_hidden(k2_tarski(k2_tarski(sK351(X0,X1,X2),X3),k2_tarski(sK351(X0,X1,X2),sK351(X0,X1,X2))),X0)
| ~ r2_hidden(k2_tarski(k2_tarski(sK351(X0,X1,X2),sK351(X0,X1,X2)),k2_tarski(sK351(X0,X1,X2),sK352(X0,X1,X2))),X2) ),
inference(demodulation,[status(thm)],[c_2281,c_49,c_2707]) ).
tcf(c_74187,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( r2_hidden(k2_tarski(k2_tarski(k2_tarski(k2_tarski(X0,X3),k2_tarski(X0,X0)),k2_tarski(k2_tarski(X1,X4),k2_tarski(X1,X1))),k2_zfmisc_1(k2_tarski(X0,X0),k2_tarski(X3,X3))),k1_relat_1(k3_funct_4(X2,X5)))
| ~ v1_relat_1(X5)
| ~ v1_relat_1(X2)
| ~ v1_funct_1(X5)
| ~ v1_funct_1(X2)
| ~ r2_hidden(k2_tarski(k2_tarski(X3,X4),k2_tarski(X3,X3)),k1_relat_1(X5))
| ~ r2_hidden(k2_tarski(k2_tarski(X0,X1),k2_tarski(X0,X0)),k1_relat_1(X2)) ),
inference(demodulation,[status(thm)],[c_3209,c_49,c_61307]) ).
tcf(c_74407,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X0 = X3 )
| ~ v1_relat_1(X3)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X3)
| ~ v1_funct_1(X0)
| ( k2_zfmisc_1(X1,X2) != k1_relat_1(X3) )
| ( k2_zfmisc_1(X1,X2) != k1_relat_1(X0) )
| ( k1_funct_1(X0,k2_tarski(k2_tarski(sK95(X1,X2,X0,X3),sK95(X1,X2,X0,X3)),k2_tarski(sK95(X1,X2,X0,X3),sK96(X1,X2,X0,X3)))) != k1_funct_1(X3,k2_tarski(k2_tarski(sK95(X1,X2,X0,X3),sK95(X1,X2,X0,X3)),k2_tarski(sK95(X1,X2,X0,X3),sK96(X1,X2,X0,X3)))) ) ),
inference(demodulation,[status(thm)],[c_633,c_49,c_2707]) ).
tcf(c_74460,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( X0 = X3 )
| ~ v1_funct_1(X3)
| ~ v1_funct_1(X0)
| ~ m2_relset_1(X3,k2_zfmisc_1(X1,X2),X4)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X2),X4)
| ~ v1_funct_2(X3,k2_zfmisc_1(X1,X2),X4)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X2),X4)
| ( k1_funct_1(X0,k2_tarski(k2_tarski(sK99(X1,X2,X0,X3),sK99(X1,X2,X0,X3)),k2_tarski(sK99(X1,X2,X0,X3),sK100(X1,X2,X0,X3)))) != k1_funct_1(X3,k2_tarski(k2_tarski(sK99(X1,X2,X0,X3),sK99(X1,X2,X0,X3)),k2_tarski(sK99(X1,X2,X0,X3),sK100(X1,X2,X0,X3)))) ) ),
inference(demodulation,[status(thm)],[c_640,c_49,c_2707]) ).
tcf(c_74485,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( X0 = X3 )
| ~ v1_funct_1(X3)
| ~ v1_funct_1(X0)
| ~ m2_relset_1(X3,k2_zfmisc_1(X1,X2),X4)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X2),X4)
| ~ v1_funct_2(X3,k2_zfmisc_1(X1,X2),X4)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X2),X4)
| ( k1_funct_1(X0,k2_tarski(k2_tarski(sK97(X1,X2,X0,X3),sK97(X1,X2,X0,X3)),k2_tarski(sK97(X1,X2,X0,X3),sK98(X1,X2,X0,X3)))) != k1_funct_1(X3,k2_tarski(k2_tarski(sK97(X1,X2,X0,X3),sK97(X1,X2,X0,X3)),k2_tarski(sK97(X1,X2,X0,X3),sK98(X1,X2,X0,X3)))) ) ),
inference(demodulation,[status(thm)],[c_636,c_49,c_2707]) ).
tcf(c_74966,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( k2_tarski(k2_tarski(k1_funct_1(X2,k2_tarski(k2_tarski(X0,X1),k2_tarski(X0,X0))),k1_funct_1(X5,k2_tarski(k2_tarski(X3,X4),k2_tarski(X3,X3)))),k2_tarski(k1_funct_1(X2,k2_tarski(k2_tarski(X0,X1),k2_tarski(X0,X0))),k1_funct_1(X2,k2_tarski(k2_tarski(X0,X1),k2_tarski(X0,X0))))) = k1_funct_1(k3_funct_4(X2,X5),k2_tarski(k2_tarski(k2_tarski(k2_tarski(X0,X3),k2_tarski(X0,X0)),k2_tarski(k2_tarski(X1,X4),k2_tarski(X1,X1))),k2_zfmisc_1(k2_tarski(X0,X0),k2_tarski(X3,X3)))) )
| ~ v1_relat_1(X5)
| ~ v1_relat_1(X2)
| ~ v1_funct_1(X5)
| ~ v1_funct_1(X2)
| ~ r2_hidden(k2_tarski(k2_tarski(X3,X4),k2_tarski(X3,X3)),k1_relat_1(X5))
| ~ r2_hidden(k2_tarski(k2_tarski(X0,X1),k2_tarski(X0,X0)),k1_relat_1(X2)) ),
inference(demodulation,[status(thm)],[c_25695,c_49,c_61307]) ).
tcf(c_75112,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( k2_tarski(k2_tarski(k1_funct_1(X4,k2_tarski(k2_tarski(X0,X2),k2_tarski(X0,X0))),k1_funct_1(X5,k2_tarski(k2_tarski(X1,X3),k2_tarski(X1,X1)))),k2_tarski(k1_funct_1(X4,k2_tarski(k2_tarski(X0,X2),k2_tarski(X0,X0))),k1_funct_1(X4,k2_tarski(k2_tarski(X0,X2),k2_tarski(X0,X0))))) = k1_funct_1(k3_funct_4(X4,X5),k2_tarski(k2_tarski(k2_tarski(k2_tarski(X0,X1),k2_tarski(X0,X0)),k2_tarski(k2_tarski(X2,X3),k2_tarski(X2,X2))),k2_zfmisc_1(k2_tarski(X0,X0),k2_tarski(X1,X1)))) )
| ~ v1_relat_1(X5)
| ~ v1_relat_1(X4)
| ~ v1_funct_1(X5)
| ~ v1_funct_1(X4)
| ~ r2_hidden(k2_tarski(k2_tarski(k2_tarski(k2_tarski(X0,X1),k2_tarski(X0,X0)),k2_tarski(k2_tarski(X2,X3),k2_tarski(X2,X2))),k2_zfmisc_1(k2_tarski(X0,X0),k2_tarski(X1,X1))),k1_relat_1(k3_funct_4(X4,X5))) ),
inference(demodulation,[status(thm)],[c_3208,c_49,c_61307]) ).
tcf(c_75131,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k3_funct_4(X0,X1) = X2 )
| ~ v1_relat_1(X2)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X0)
| ~ sP28(X0,X1,X2)
| ( k2_tarski(k2_tarski(k1_funct_1(X0,k2_tarski(k2_tarski(sK506(X0,X1,X2),sK506(X0,X1,X2)),k2_tarski(sK506(X0,X1,X2),sK507(X0,X1,X2)))),k1_funct_1(X1,k2_tarski(k2_tarski(sK508(X0,X1,X2),sK508(X0,X1,X2)),k2_tarski(sK508(X0,X1,X2),sK509(X0,X1,X2))))),k2_tarski(k1_funct_1(X0,k2_tarski(k2_tarski(sK506(X0,X1,X2),sK506(X0,X1,X2)),k2_tarski(sK506(X0,X1,X2),sK507(X0,X1,X2)))),k1_funct_1(X0,k2_tarski(k2_tarski(sK506(X0,X1,X2),sK506(X0,X1,X2)),k2_tarski(sK506(X0,X1,X2),sK507(X0,X1,X2)))))) != k1_funct_1(X2,k2_tarski(k2_tarski(k2_tarski(k2_tarski(sK506(X0,X1,X2),sK506(X0,X1,X2)),k2_tarski(sK506(X0,X1,X2),sK508(X0,X1,X2))),k2_tarski(k2_tarski(sK506(X0,X1,X2),sK506(X0,X1,X2)),k2_tarski(sK506(X0,X1,X2),sK508(X0,X1,X2)))),k2_tarski(k2_tarski(k2_tarski(sK506(X0,X1,X2),sK506(X0,X1,X2)),k2_tarski(sK506(X0,X1,X2),sK508(X0,X1,X2))),k2_tarski(k2_tarski(sK507(X0,X1,X2),sK507(X0,X1,X2)),k2_tarski(sK507(X0,X1,X2),sK509(X0,X1,X2)))))) ) ),
inference(demodulation,[status(thm)],[c_3220,c_49,c_2707]) ).
tcf(c_75733,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( k6_pre_topc(X0,X2) = X4 )
| ~ l1_pre_topc(X1)
| ~ sP16(X0,X2,X4)
| ~ m1_subset_1(X5,k1_zfmisc_1(u1_struct_0(X1)))
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1)))
| ( X4 != X5 )
| ( X2 != X3 )
| ( X0 != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_1236,c_1249]) ).
tcf(c_75734,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k6_pre_topc(X1,X0) = X2 )
| ~ l1_pre_topc(X1)
| ~ sP16(X1,X0,X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(unflattening,[status(thm)],[c_75733]) ).
tcf(c_75751,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sP16(X0,X1,k6_pre_topc(X0,X1))
| ~ l1_pre_topc(X3)
| ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X3)))
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X3)))
| ( X1 != X4 )
| ( X0 != X3 )
| ( k6_pre_topc(X0,X1) != X2 ) ),
inference(resolution_lifted,[status(thm)],[c_7694,c_1249]) ).
tcf(c_75752,plain,
! [X0: $i,X1: $i] :
( sP16(X0,X1,k6_pre_topc(X0,X1))
| ~ l1_pre_topc(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ m1_subset_1(k6_pre_topc(X0,X1),k1_zfmisc_1(u1_struct_0(X0))) ),
inference(unflattening,[status(thm)],[c_75751]) ).
tcf(c_75762,plain,
! [X0: $i,X1: $i] :
( sP16(X1,X0,k6_pre_topc(X1,X0))
| ~ l1_pre_topc(X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_75752,c_1594]) ).
tcf(c_75821,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v3_struct_0(X2)
| v3_struct_0(X0)
| sP3(X1,X3)
| v3_struct_0(k8_filter_1(X1,X3))
| ~ l3_lattices(X2)
| ~ l3_lattices(X0)
| ~ v10_lattices(X2)
| ~ v10_lattices(X0)
| ~ l3_lattices(k8_filter_1(X1,X3))
| ~ v17_lattices(k8_filter_1(X1,X3))
| ~ v10_lattices(k8_filter_1(X1,X3))
| ( X2 != X3 )
| ( X0 != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_242,c_228]) ).
tcf(c_75822,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| v3_struct_0(X0)
| sP3(X0,X1)
| v3_struct_0(k8_filter_1(X0,X1))
| ~ l3_lattices(X1)
| ~ l3_lattices(X0)
| ~ v10_lattices(X1)
| ~ v10_lattices(X0)
| ~ l3_lattices(k8_filter_1(X0,X1))
| ~ v17_lattices(k8_filter_1(X0,X1))
| ~ v10_lattices(k8_filter_1(X0,X1)) ),
inference(unflattening,[status(thm)],[c_75821]) ).
tcf(c_75824,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| v3_struct_0(X0)
| sP3(X0,X1)
| ~ v17_lattices(k8_filter_1(X0,X1))
| ~ v10_lattices(k8_filter_1(X0,X1))
| ~ l3_lattices(X0)
| ~ l3_lattices(X1) ),
inference(global_subsumption_just,[status(thm)],[c_75822,c_223,c_279,c_268,c_267,c_75822]) ).
tcf(c_75825,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| v3_struct_0(X0)
| sP3(X0,X1)
| ~ l3_lattices(X1)
| ~ l3_lattices(X0)
| ~ v17_lattices(k8_filter_1(X0,X1))
| ~ v10_lattices(k8_filter_1(X0,X1)) ),
inference(renaming,[status(thm)],[c_75824]) ).
tcf(c_75855,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v3_struct_0(X2)
| v3_struct_0(X0)
| sP5(X1,X3)
| v3_struct_0(k8_filter_1(X1,X3))
| ~ l3_lattices(X2)
| ~ l3_lattices(X0)
| ~ v10_lattices(X2)
| ~ v10_lattices(X0)
| ~ v11_lattices(k8_filter_1(X1,X3))
| ~ l3_lattices(k8_filter_1(X1,X3))
| ~ v10_lattices(k8_filter_1(X1,X3))
| ( X2 != X3 )
| ( X0 != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_266,c_252]) ).
tcf(c_75856,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| v3_struct_0(X0)
| sP5(X0,X1)
| v3_struct_0(k8_filter_1(X0,X1))
| ~ l3_lattices(X1)
| ~ l3_lattices(X0)
| ~ v10_lattices(X1)
| ~ v10_lattices(X0)
| ~ v11_lattices(k8_filter_1(X0,X1))
| ~ l3_lattices(k8_filter_1(X0,X1))
| ~ v10_lattices(k8_filter_1(X0,X1)) ),
inference(unflattening,[status(thm)],[c_75855]) ).
tcf(c_75858,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| v3_struct_0(X0)
| sP5(X0,X1)
| ~ v10_lattices(k8_filter_1(X0,X1))
| ~ v11_lattices(k8_filter_1(X0,X1))
| ~ l3_lattices(X0)
| ~ l3_lattices(X1) ),
inference(global_subsumption_just,[status(thm)],[c_75856,c_223,c_279,c_268,c_267,c_75856]) ).
tcf(c_75859,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| v3_struct_0(X0)
| sP5(X0,X1)
| ~ l3_lattices(X1)
| ~ l3_lattices(X0)
| ~ v11_lattices(k8_filter_1(X0,X1))
| ~ v10_lattices(k8_filter_1(X0,X1)) ),
inference(renaming,[status(thm)],[c_75858]) ).
tcf(c_75889,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( k8_relat_1(X2,X0) = X4 )
| ~ v1_relat_1(X5)
| ~ v1_relat_1(X1)
| ~ v1_funct_1(X5)
| ~ v1_funct_1(X1)
| ~ sP29(X0,X2,X4)
| ( X4 != X5 )
| ( X2 != X3 )
| ( X0 != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_3276,c_3288]) ).
tcf(c_75890,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k8_relat_1(X1,X0) = X2 )
| ~ v1_relat_1(X2)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X0)
| ~ sP29(X0,X1,X2) ),
inference(unflattening,[status(thm)],[c_75889]) ).
tcf(c_75909,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sP29(X1,X0,k8_relat_1(X0,X1))
| ~ v1_relat_1(X4)
| ~ v1_relat_1(X2)
| ~ v1_funct_1(X4)
| ~ v1_funct_1(X2)
| ( X1 != X4 )
| ( X0 != X3 )
| ( k8_relat_1(X0,X1) != X2 ) ),
inference(resolution_lifted,[status(thm)],[c_8326,c_3288]) ).
tcf(c_75910,plain,
! [X0: $i,X1: $i] :
( sP29(X1,X0,k8_relat_1(X0,X1))
| ~ v1_relat_1(X1)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(k8_relat_1(X0,X1))
| ~ v1_funct_1(k8_relat_1(X0,X1)) ),
inference(unflattening,[status(thm)],[c_75909]) ).
tcf(c_75922,plain,
! [X0: $i,X1: $i] :
( sP29(X0,X1,k8_relat_1(X1,X0))
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_75910,c_7332,c_3290]) ).
tcf(c_75986,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v3_struct_0(X2)
| v3_struct_0(X0)
| sP10(X1,X3)
| v3_struct_0(k8_filter_1(X1,X3))
| ~ l3_lattices(X2)
| ~ l3_lattices(X0)
| ~ v10_lattices(X2)
| ~ v10_lattices(X0)
| ~ v16_lattices(k8_filter_1(X1,X3))
| ~ v15_lattices(k8_filter_1(X1,X3))
| ~ l3_lattices(k8_filter_1(X1,X3))
| ~ v10_lattices(k8_filter_1(X1,X3))
| ( X2 != X3 )
| ( X0 != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_886,c_869]) ).
tcf(c_75987,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| v3_struct_0(X0)
| sP10(X0,X1)
| v3_struct_0(k8_filter_1(X0,X1))
| ~ l3_lattices(X1)
| ~ l3_lattices(X0)
| ~ v10_lattices(X1)
| ~ v10_lattices(X0)
| ~ v16_lattices(k8_filter_1(X0,X1))
| ~ v15_lattices(k8_filter_1(X0,X1))
| ~ l3_lattices(k8_filter_1(X0,X1))
| ~ v10_lattices(k8_filter_1(X0,X1)) ),
inference(unflattening,[status(thm)],[c_75986]) ).
tcf(c_75989,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| v3_struct_0(X0)
| sP10(X0,X1)
| ~ v10_lattices(k8_filter_1(X0,X1))
| ~ v15_lattices(k8_filter_1(X0,X1))
| ~ v16_lattices(k8_filter_1(X0,X1))
| ~ l3_lattices(X0)
| ~ l3_lattices(X1) ),
inference(global_subsumption_just,[status(thm)],[c_75987,c_223,c_279,c_268,c_267,c_75987]) ).
tcf(c_75990,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| v3_struct_0(X0)
| sP10(X0,X1)
| ~ l3_lattices(X1)
| ~ l3_lattices(X0)
| ~ v16_lattices(k8_filter_1(X0,X1))
| ~ v15_lattices(k8_filter_1(X0,X1))
| ~ v10_lattices(k8_filter_1(X0,X1)) ),
inference(renaming,[status(thm)],[c_75989]) ).
tcf(c_81257,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( v3_struct_0(X5)
| v3_struct_0(X4)
| v3_struct_0(X3)
| v3_struct_0(X2)
| r1_filter_1(X3,X5)
| ~ l3_lattices(X5)
| ~ l3_lattices(X4)
| ~ l3_lattices(X3)
| ~ l3_lattices(X2)
| ~ v10_lattices(X5)
| ~ v10_lattices(X4)
| ~ v10_lattices(X3)
| ~ v10_lattices(X2)
| ~ v2_lattice4(X0,X2,X4)
| ~ v1_lattice4(X0,X2,X4)
| ~ m1_lattice4(X1,X3,X5)
| ~ m1_lattice4(X0,X2,X4)
| ( X4 != X5 )
| ( X2 != X3 )
| ( X0 != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_840,c_837]) ).
tcf(c_81258,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X2)
| v3_struct_0(X1)
| r1_filter_1(X1,X2)
| ~ l3_lattices(X2)
| ~ l3_lattices(X1)
| ~ v10_lattices(X2)
| ~ v10_lattices(X1)
| ~ v2_lattice4(X0,X1,X2)
| ~ v1_lattice4(X0,X1,X2)
| ~ m1_lattice4(X0,X1,X2) ),
inference(unflattening,[status(thm)],[c_81257]) ).
tcf(c_81289,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v3_realset2(X0)
| v3_struct_0(X3)
| v3_struct_0(X1)
| v3_struct_0(X0)
| v2_lattice4(X2,X3,X1)
| ~ l3_lattices(X3)
| ~ l3_lattices(X1)
| ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X3)
| ~ v10_lattices(X1)
| ~ v10_lattices(X0)
| ~ m1_lattice4(X2,X3,X1)
| ( X0 != X3 )
| ( k13_lopclset(X0) != X2 )
| ( k12_lopclset(X0) != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_162,c_842]) ).
tcf(c_81290,plain,
! [X0: $i] :
( v3_realset2(X0)
| v3_struct_0(X0)
| v3_struct_0(k12_lopclset(X0))
| v2_lattice4(k13_lopclset(X0),X0,k12_lopclset(X0))
| ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(k12_lopclset(X0))
| ~ v10_lattices(k12_lopclset(X0))
| ~ m1_lattice4(k13_lopclset(X0),X0,k12_lopclset(X0)) ),
inference(unflattening,[status(thm)],[c_81289]) ).
tcf(c_81292,plain,
! [X0: $i] :
( v3_realset2(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v17_lattices(X0)
| ~ l3_lattices(X0)
| v2_lattice4(k13_lopclset(X0),X0,k12_lopclset(X0)) ),
inference(global_subsumption_just,[status(thm)],[c_81290,c_168,c_167,c_166,c_165,c_81290]) ).
tcf(c_81293,plain,
! [X0: $i] :
( v3_realset2(X0)
| v3_struct_0(X0)
| v2_lattice4(k13_lopclset(X0),X0,k12_lopclset(X0))
| ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0) ),
inference(renaming,[status(thm)],[c_81292]) ).
tcf(c_81313,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v3_realset2(X0)
| v3_struct_0(X3)
| v3_struct_0(X1)
| v3_struct_0(X0)
| v1_lattice4(X2,X3,X1)
| ~ l3_lattices(X3)
| ~ l3_lattices(X1)
| ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X3)
| ~ v10_lattices(X1)
| ~ v10_lattices(X0)
| ~ m1_lattice4(X2,X3,X1)
| ( X0 != X3 )
| ( k13_lopclset(X0) != X2 )
| ( k12_lopclset(X0) != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_162,c_841]) ).
tcf(c_81314,plain,
! [X0: $i] :
( v3_realset2(X0)
| v3_struct_0(X0)
| v3_struct_0(k12_lopclset(X0))
| v1_lattice4(k13_lopclset(X0),X0,k12_lopclset(X0))
| ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(k12_lopclset(X0))
| ~ v10_lattices(k12_lopclset(X0))
| ~ m1_lattice4(k13_lopclset(X0),X0,k12_lopclset(X0)) ),
inference(unflattening,[status(thm)],[c_81313]) ).
tcf(c_81316,plain,
! [X0: $i] :
( v3_realset2(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v17_lattices(X0)
| ~ l3_lattices(X0)
| v1_lattice4(k13_lopclset(X0),X0,k12_lopclset(X0)) ),
inference(global_subsumption_just,[status(thm)],[c_81314,c_168,c_167,c_166,c_165,c_81314]) ).
tcf(c_81317,plain,
! [X0: $i] :
( v3_realset2(X0)
| v3_struct_0(X0)
| v1_lattice4(k13_lopclset(X0),X0,k12_lopclset(X0))
| ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0) ),
inference(renaming,[status(thm)],[c_81316]) ).
tcf(c_81342,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( v3_struct_0(X4)
| v3_struct_0(X3)
| v3_struct_0(X1)
| v3_struct_0(X0)
| v2_lattice4(X2,X3,X4)
| ~ l3_lattices(X4)
| ~ l3_lattices(X3)
| ~ l3_lattices(X1)
| ~ l3_lattices(X0)
| ~ v10_lattices(X4)
| ~ v10_lattices(X3)
| ~ v10_lattices(X1)
| ~ v10_lattices(X0)
| ~ r1_filter_1(X0,X1)
| ~ m1_lattice4(X2,X3,X4)
| ( X1 != X4 )
| ( X0 != X3 )
| ( sK175(X0,X1) != X2 ) ),
inference(resolution_lifted,[status(thm)],[c_842,c_839]) ).
tcf(c_81343,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| v3_struct_0(X0)
| v2_lattice4(sK175(X0,X1),X0,X1)
| ~ l3_lattices(X1)
| ~ l3_lattices(X0)
| ~ v10_lattices(X1)
| ~ v10_lattices(X0)
| ~ r1_filter_1(X0,X1)
| ~ m1_lattice4(sK175(X0,X1),X0,X1) ),
inference(unflattening,[status(thm)],[c_81342]) ).
tcf(c_81345,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| v3_struct_0(X0)
| v2_lattice4(sK175(X0,X1),X0,X1)
| ~ l3_lattices(X1)
| ~ l3_lattices(X0)
| ~ v10_lattices(X1)
| ~ v10_lattices(X0)
| ~ r1_filter_1(X0,X1) ),
inference(global_subsumption_just,[status(thm)],[c_81343,c_838,c_81343]) ).
tcf(c_81372,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( v3_struct_0(X4)
| v3_struct_0(X3)
| v3_struct_0(X1)
| v3_struct_0(X0)
| v1_lattice4(X2,X3,X4)
| ~ l3_lattices(X4)
| ~ l3_lattices(X3)
| ~ l3_lattices(X1)
| ~ l3_lattices(X0)
| ~ v10_lattices(X4)
| ~ v10_lattices(X3)
| ~ v10_lattices(X1)
| ~ v10_lattices(X0)
| ~ r1_filter_1(X0,X1)
| ~ m1_lattice4(X2,X3,X4)
| ( X1 != X4 )
| ( X0 != X3 )
| ( sK175(X0,X1) != X2 ) ),
inference(resolution_lifted,[status(thm)],[c_841,c_839]) ).
tcf(c_81373,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| v3_struct_0(X0)
| v1_lattice4(sK175(X0,X1),X0,X1)
| ~ l3_lattices(X1)
| ~ l3_lattices(X0)
| ~ v10_lattices(X1)
| ~ v10_lattices(X0)
| ~ r1_filter_1(X0,X1)
| ~ m1_lattice4(sK175(X0,X1),X0,X1) ),
inference(unflattening,[status(thm)],[c_81372]) ).
tcf(c_81375,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| v3_struct_0(X0)
| v1_lattice4(sK175(X0,X1),X0,X1)
| ~ l3_lattices(X1)
| ~ l3_lattices(X0)
| ~ v10_lattices(X1)
| ~ v10_lattices(X0)
| ~ r1_filter_1(X0,X1) ),
inference(global_subsumption_just,[status(thm)],[c_81373,c_838,c_81373]) ).
tcf(c_104130,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v3_struct_0(X1)
| ( k5_rlvect_1(X1,k9_rlvect_1(X1,X2)) = k9_rlvect_1(X1,X0) )
| ~ sP32(X3)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ l1_rlvect_1(X1)
| ~ m2_finseq_1(X2,u1_struct_0(X1))
| ~ m2_finseq_1(X0,u1_struct_0(X1))
| ( X1 != X3 )
| ( k3_finseq_1(X0) != k3_finseq_1(X2) )
| ( k1_funct_1(X0,sK576(X1,X0,X2)) != k5_rlvect_1(X1,sK577(X1,X0,X2)) ) ),
inference(resolution_lifted,[status(thm)],[c_8169,c_3788]) ).
tcf(c_104131,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X1)
| ( k5_rlvect_1(X1,k9_rlvect_1(X1,X2)) = k9_rlvect_1(X1,X0) )
| ~ sP32(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ l1_rlvect_1(X1)
| ~ m2_finseq_1(X2,u1_struct_0(X1))
| ~ m2_finseq_1(X0,u1_struct_0(X1))
| ( k3_finseq_1(X0) != k3_finseq_1(X2) )
| ( k1_funct_1(X0,sK576(X1,X0,X2)) != k5_rlvect_1(X1,sK577(X1,X0,X2)) ) ),
inference(unflattening,[status(thm)],[c_104130]) ).
tcf(c_104155,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k5_rlvect_1(X1,k9_rlvect_1(X1,X2)) = k9_rlvect_1(X1,X0) )
| ~ sP32(X1)
| ~ m2_finseq_1(X2,u1_struct_0(X1))
| ~ m2_finseq_1(X0,u1_struct_0(X1))
| ( k3_finseq_1(X0) != k3_finseq_1(X2) )
| ( k1_funct_1(X0,sK576(X1,X0,X2)) != k5_rlvect_1(X1,sK577(X1,X0,X2)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_104131,c_6694,c_8339,c_8337,c_8171,c_8167]) ).
tcf(c_104163,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v3_struct_0(X1)
| ( k2_rlvect_1(X1,X2,X3) = k2_rlvect_1(X1,X3,X2) )
| ~ sP32(X0)
| ~ l1_rlvect_1(X1)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ( X0 != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_8169,c_3450]) ).
tcf(c_104164,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X1)
| ( k2_rlvect_1(X1,X0,X2) = k2_rlvect_1(X1,X2,X0) )
| ~ sP32(X1)
| ~ l1_rlvect_1(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(unflattening,[status(thm)],[c_104163]) ).
tcf(c_104178,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k2_rlvect_1(X1,X0,X2) = k2_rlvect_1(X1,X2,X0) )
| ~ sP32(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_104164,c_6694,c_8167]) ).
tcf(c_104183,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v3_struct_0(X1)
| ( k1_binop_1(u1_rlvect_1(X1),X2,X3) = k1_binop_1(u1_rlvect_1(X1),X3,X2) )
| ~ sP32(X0)
| ~ l1_rlvect_1(X1)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ( X0 != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_8169,c_2370]) ).
tcf(c_104184,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X1)
| ( k1_binop_1(u1_rlvect_1(X1),X0,X2) = k1_binop_1(u1_rlvect_1(X1),X2,X0) )
| ~ sP32(X1)
| ~ l1_rlvect_1(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(unflattening,[status(thm)],[c_104183]) ).
tcf(c_104198,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k1_binop_1(u1_rlvect_1(X1),X0,X2) = k1_binop_1(u1_rlvect_1(X1),X2,X0) )
| ~ sP32(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_104184,c_6694,c_8167]) ).
tcf(c_104870,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v3_struct_0(X3)
| m2_subset_1(sK576(X3,X0,X1),k1_numbers,k5_numbers)
| ( k5_rlvect_1(X3,k9_rlvect_1(X3,X1)) = k9_rlvect_1(X3,X0) )
| ~ sP32(X2)
| ~ v6_rlvect_1(X3)
| ~ v5_rlvect_1(X3)
| ~ v4_rlvect_1(X3)
| ~ l1_rlvect_1(X3)
| ~ m2_finseq_1(X1,u1_struct_0(X3))
| ~ m2_finseq_1(X0,u1_struct_0(X3))
| ( X2 != X3 )
| ( k3_finseq_1(X0) != k3_finseq_1(X1) ) ),
inference(resolution_lifted,[status(thm)],[c_8169,c_3792]) ).
tcf(c_104871,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X2)
| m2_subset_1(sK576(X2,X0,X1),k1_numbers,k5_numbers)
| ( k5_rlvect_1(X2,k9_rlvect_1(X2,X1)) = k9_rlvect_1(X2,X0) )
| ~ sP32(X2)
| ~ v6_rlvect_1(X2)
| ~ v5_rlvect_1(X2)
| ~ v4_rlvect_1(X2)
| ~ l1_rlvect_1(X2)
| ~ m2_finseq_1(X1,u1_struct_0(X2))
| ~ m2_finseq_1(X0,u1_struct_0(X2))
| ( k3_finseq_1(X0) != k3_finseq_1(X1) ) ),
inference(unflattening,[status(thm)],[c_104870]) ).
tcf(c_104895,plain,
! [X0: $i,X1: $i,X2: $i] :
( m2_subset_1(sK576(X2,X0,X1),k1_numbers,k5_numbers)
| ( k5_rlvect_1(X2,k9_rlvect_1(X2,X1)) = k9_rlvect_1(X2,X0) )
| ~ sP32(X2)
| ~ m2_finseq_1(X1,u1_struct_0(X2))
| ~ m2_finseq_1(X0,u1_struct_0(X2))
| ( k3_finseq_1(X0) != k3_finseq_1(X1) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_104871,c_6694,c_8339,c_8337,c_8171,c_8167]) ).
tcf(c_104903,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v3_struct_0(X3)
| m1_subset_1(sK577(X3,X0,X1),u1_struct_0(X3))
| ( k5_rlvect_1(X3,k9_rlvect_1(X3,X1)) = k9_rlvect_1(X3,X0) )
| ~ sP32(X2)
| ~ v6_rlvect_1(X3)
| ~ v5_rlvect_1(X3)
| ~ v4_rlvect_1(X3)
| ~ l1_rlvect_1(X3)
| ~ m2_finseq_1(X1,u1_struct_0(X3))
| ~ m2_finseq_1(X0,u1_struct_0(X3))
| ( X2 != X3 )
| ( k3_finseq_1(X0) != k3_finseq_1(X1) ) ),
inference(resolution_lifted,[status(thm)],[c_8169,c_3791]) ).
tcf(c_104904,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X2)
| m1_subset_1(sK577(X2,X0,X1),u1_struct_0(X2))
| ( k5_rlvect_1(X2,k9_rlvect_1(X2,X1)) = k9_rlvect_1(X2,X0) )
| ~ sP32(X2)
| ~ v6_rlvect_1(X2)
| ~ v5_rlvect_1(X2)
| ~ v4_rlvect_1(X2)
| ~ l1_rlvect_1(X2)
| ~ m2_finseq_1(X1,u1_struct_0(X2))
| ~ m2_finseq_1(X0,u1_struct_0(X2))
| ( k3_finseq_1(X0) != k3_finseq_1(X1) ) ),
inference(unflattening,[status(thm)],[c_104903]) ).
tcf(c_104928,plain,
! [X0: $i,X1: $i,X2: $i] :
( m1_subset_1(sK577(X2,X0,X1),u1_struct_0(X2))
| ( k5_rlvect_1(X2,k9_rlvect_1(X2,X1)) = k9_rlvect_1(X2,X0) )
| ~ sP32(X2)
| ~ m2_finseq_1(X1,u1_struct_0(X2))
| ~ m2_finseq_1(X0,u1_struct_0(X2))
| ( k3_finseq_1(X0) != k3_finseq_1(X1) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_104904,c_6694,c_8339,c_8337,c_8171,c_8167]) ).
tcf(c_104936,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v3_struct_0(X3)
| ( k5_rlvect_1(X3,k9_rlvect_1(X3,X1)) = k9_rlvect_1(X3,X0) )
| ( k1_funct_1(X1,sK576(X3,X0,X1)) = sK577(X3,X0,X1) )
| ~ sP32(X2)
| ~ v6_rlvect_1(X3)
| ~ v5_rlvect_1(X3)
| ~ v4_rlvect_1(X3)
| ~ l1_rlvect_1(X3)
| ~ m2_finseq_1(X1,u1_struct_0(X3))
| ~ m2_finseq_1(X0,u1_struct_0(X3))
| ( X2 != X3 )
| ( k3_finseq_1(X0) != k3_finseq_1(X1) ) ),
inference(resolution_lifted,[status(thm)],[c_8169,c_3790]) ).
tcf(c_104937,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X2)
| ( k5_rlvect_1(X2,k9_rlvect_1(X2,X1)) = k9_rlvect_1(X2,X0) )
| ( k1_funct_1(X1,sK576(X2,X0,X1)) = sK577(X2,X0,X1) )
| ~ sP32(X2)
| ~ v6_rlvect_1(X2)
| ~ v5_rlvect_1(X2)
| ~ v4_rlvect_1(X2)
| ~ l1_rlvect_1(X2)
| ~ m2_finseq_1(X1,u1_struct_0(X2))
| ~ m2_finseq_1(X0,u1_struct_0(X2))
| ( k3_finseq_1(X0) != k3_finseq_1(X1) ) ),
inference(unflattening,[status(thm)],[c_104936]) ).
tcf(c_104961,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k5_rlvect_1(X2,k9_rlvect_1(X2,X1)) = k9_rlvect_1(X2,X0) )
| ( k1_funct_1(X1,sK576(X2,X0,X1)) = sK577(X2,X0,X1) )
| ~ sP32(X2)
| ~ m2_finseq_1(X1,u1_struct_0(X2))
| ~ m2_finseq_1(X0,u1_struct_0(X2))
| ( k3_finseq_1(X0) != k3_finseq_1(X1) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_104937,c_6694,c_8339,c_8337,c_8171,c_8167]) ).
tcf(c_104969,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v3_struct_0(X3)
| r2_hidden(sK576(X3,X0,X1),k4_finseq_1(X0))
| ( k5_rlvect_1(X3,k9_rlvect_1(X3,X1)) = k9_rlvect_1(X3,X0) )
| ~ sP32(X2)
| ~ v6_rlvect_1(X3)
| ~ v5_rlvect_1(X3)
| ~ v4_rlvect_1(X3)
| ~ l1_rlvect_1(X3)
| ~ m2_finseq_1(X1,u1_struct_0(X3))
| ~ m2_finseq_1(X0,u1_struct_0(X3))
| ( X2 != X3 )
| ( k3_finseq_1(X0) != k3_finseq_1(X1) ) ),
inference(resolution_lifted,[status(thm)],[c_8169,c_3789]) ).
tcf(c_104970,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X2)
| r2_hidden(sK576(X2,X0,X1),k4_finseq_1(X0))
| ( k5_rlvect_1(X2,k9_rlvect_1(X2,X1)) = k9_rlvect_1(X2,X0) )
| ~ sP32(X2)
| ~ v6_rlvect_1(X2)
| ~ v5_rlvect_1(X2)
| ~ v4_rlvect_1(X2)
| ~ l1_rlvect_1(X2)
| ~ m2_finseq_1(X1,u1_struct_0(X2))
| ~ m2_finseq_1(X0,u1_struct_0(X2))
| ( k3_finseq_1(X0) != k3_finseq_1(X1) ) ),
inference(unflattening,[status(thm)],[c_104969]) ).
tcf(c_104994,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(sK576(X2,X0,X1),k4_finseq_1(X0))
| ( k5_rlvect_1(X2,k9_rlvect_1(X2,X1)) = k9_rlvect_1(X2,X0) )
| ~ sP32(X2)
| ~ m2_finseq_1(X1,u1_struct_0(X2))
| ~ m2_finseq_1(X0,u1_struct_0(X2))
| ( k3_finseq_1(X0) != k3_finseq_1(X1) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_104970,c_6694,c_8339,c_8337,c_8171,c_8167]) ).
tcf(c_105657,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v3_struct_0(X0)
| ( k5_rlvect_1(X0,X2) = X1 )
| ~ sP32(X3)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ( X0 != X3 )
| ( k2_rlvect_1(X0,X1,X2) != k1_rlvect_1(X0) ) ),
inference(resolution_lifted,[status(thm)],[c_8167,c_3428]) ).
tcf(c_105658,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X0)
| ( k5_rlvect_1(X0,X2) = X1 )
| ~ sP32(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ( k2_rlvect_1(X0,X1,X2) != k1_rlvect_1(X0) ) ),
inference(unflattening,[status(thm)],[c_105657]) ).
tcf(c_105660,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ( k2_rlvect_1(X0,X1,X2) != k1_rlvect_1(X0) )
| ~ sP32(X0)
| ( k5_rlvect_1(X0,X2) = X1 ) ),
inference(global_subsumption_just,[status(thm)],[c_105658,c_3408,c_3407,c_3406,c_3405,c_3403,c_3428]) ).
tcf(c_105661,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k5_rlvect_1(X0,X2) = X1 )
| ~ sP32(X0)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ( k2_rlvect_1(X0,X1,X2) != k1_rlvect_1(X0) ) ),
inference(renaming,[status(thm)],[c_105660]) ).
tcf(c_105678,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( v3_struct_0(X0)
| ( X1 = X3 )
| ~ sP32(X4)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ m1_subset_1(X5,u1_struct_0(X0))
| ~ m1_subset_1(X3,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ( X0 != X4 )
| ( k2_rlvect_1(X0,X1,X2) != k2_rlvect_1(X0,X3,X2) ) ),
inference(resolution_lifted,[status(thm)],[c_8167,c_3425]) ).
tcf(c_105679,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( v3_struct_0(X0)
| ( X1 = X3 )
| ~ sP32(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ m1_subset_1(X4,u1_struct_0(X0))
| ~ m1_subset_1(X3,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ( k2_rlvect_1(X0,X1,X2) != k2_rlvect_1(X0,X3,X2) ) ),
inference(unflattening,[status(thm)],[c_105678]) ).
tcf(c_105681,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ m1_subset_1(X4,u1_struct_0(X0))
| ~ m1_subset_1(X3,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ( k2_rlvect_1(X0,X1,X2) != k2_rlvect_1(X0,X3,X2) )
| ~ sP32(X0)
| ( X1 = X3 ) ),
inference(global_subsumption_just,[status(thm)],[c_105679,c_3408,c_3407,c_3406,c_3405,c_3403,c_3425]) ).
tcf(c_105682,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( X1 = X3 )
| ~ sP32(X0)
| ~ m1_subset_1(X4,u1_struct_0(X0))
| ~ m1_subset_1(X3,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ( k2_rlvect_1(X0,X1,X2) != k2_rlvect_1(X0,X3,X2) ) ),
inference(renaming,[status(thm)],[c_105681]) ).
tcf(c_105705,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( v3_struct_0(X0)
| ( X2 = X3 )
| ~ sP32(X4)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ m1_subset_1(X5,u1_struct_0(X0))
| ~ m1_subset_1(X3,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ( X0 != X4 )
| ( k2_rlvect_1(X0,X1,X2) != k2_rlvect_1(X0,X1,X3) ) ),
inference(resolution_lifted,[status(thm)],[c_8167,c_3424]) ).
tcf(c_105706,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( v3_struct_0(X0)
| ( X2 = X3 )
| ~ sP32(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ m1_subset_1(X4,u1_struct_0(X0))
| ~ m1_subset_1(X3,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ( k2_rlvect_1(X0,X1,X2) != k2_rlvect_1(X0,X1,X3) ) ),
inference(unflattening,[status(thm)],[c_105705]) ).
tcf(c_105707,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ m1_subset_1(X4,u1_struct_0(X0))
| ~ m1_subset_1(X3,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ( k2_rlvect_1(X0,X1,X2) != k2_rlvect_1(X0,X1,X3) )
| ~ sP32(X0)
| ( X2 = X3 ) ),
inference(global_subsumption_just,[status(thm)],[c_105706,c_3407,c_3406,c_3405,c_3403,c_105706]) ).
tcf(c_105708,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( X2 = X3 )
| ~ sP32(X0)
| ~ m1_subset_1(X4,u1_struct_0(X0))
| ~ m1_subset_1(X3,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ( k2_rlvect_1(X0,X1,X2) != k2_rlvect_1(X0,X1,X3) ) ),
inference(renaming,[status(thm)],[c_105707]) ).
tcf(c_105730,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v3_struct_0(X0)
| ( k1_rlvect_1(X0) = X1 )
| ~ sP32(X3)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ( X0 != X3 )
| ( k2_rlvect_1(X0,X1,X2) != X2 ) ),
inference(resolution_lifted,[status(thm)],[c_8167,c_3423]) ).
tcf(c_105731,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X0)
| ( k1_rlvect_1(X0) = X1 )
| ~ sP32(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ( k2_rlvect_1(X0,X1,X2) != X2 ) ),
inference(unflattening,[status(thm)],[c_105730]) ).
tcf(c_105733,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ( k2_rlvect_1(X0,X1,X2) != X2 )
| ~ sP32(X0)
| ( k1_rlvect_1(X0) = X1 ) ),
inference(global_subsumption_just,[status(thm)],[c_105731,c_3408,c_3407,c_3406,c_3405,c_3403,c_3423]) ).
tcf(c_105734,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k1_rlvect_1(X0) = X1 )
| ~ sP32(X0)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ( k2_rlvect_1(X0,X1,X2) != X2 ) ),
inference(renaming,[status(thm)],[c_105733]) ).
tcf(c_105751,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v3_struct_0(X0)
| ( k1_rlvect_1(X0) = X2 )
| ~ sP32(X3)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ( X0 != X3 )
| ( k2_rlvect_1(X0,X1,X2) != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_8167,c_3422]) ).
tcf(c_105752,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X0)
| ( k1_rlvect_1(X0) = X2 )
| ~ sP32(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ( k2_rlvect_1(X0,X1,X2) != X1 ) ),
inference(unflattening,[status(thm)],[c_105751]) ).
tcf(c_105753,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ( k2_rlvect_1(X0,X1,X2) != X1 )
| ~ sP32(X0)
| ( k1_rlvect_1(X0) = X2 ) ),
inference(global_subsumption_just,[status(thm)],[c_105752,c_3408,c_3407,c_3406,c_3405,c_3403,c_3422]) ).
tcf(c_105754,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k1_rlvect_1(X0) = X2 )
| ~ sP32(X0)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ( k2_rlvect_1(X0,X1,X2) != X1 ) ),
inference(renaming,[status(thm)],[c_105753]) ).
tcf(c_105774,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v3_struct_0(X0)
| ( k5_rlvect_1(X0,X1) = X2 )
| ~ sP32(X3)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ( X0 != X3 )
| ( k2_rlvect_1(X0,X1,X2) != k1_rlvect_1(X0) ) ),
inference(resolution_lifted,[status(thm)],[c_8167,c_3401]) ).
tcf(c_105775,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X0)
| ( k5_rlvect_1(X0,X1) = X2 )
| ~ sP32(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ( k2_rlvect_1(X0,X1,X2) != k1_rlvect_1(X0) ) ),
inference(unflattening,[status(thm)],[c_105774]) ).
tcf(c_105776,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ( k2_rlvect_1(X0,X1,X2) != k1_rlvect_1(X0) )
| ~ sP32(X0)
| ( k5_rlvect_1(X0,X1) = X2 ) ),
inference(global_subsumption_just,[status(thm)],[c_105775,c_3408,c_3407,c_3406,c_3405,c_3403,c_3431]) ).
tcf(c_105777,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k5_rlvect_1(X0,X1) = X2 )
| ~ sP32(X0)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ( k2_rlvect_1(X0,X1,X2) != k1_rlvect_1(X0) ) ),
inference(renaming,[status(thm)],[c_105776]) ).
tcf(c_105821,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v3_struct_0(X1)
| ( k5_rlvect_1(X1,k9_rlvect_1(X1,X2)) = k9_rlvect_1(X1,X0) )
| ~ sP32(X3)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| ~ m2_finseq_1(X2,u1_struct_0(X1))
| ~ m2_finseq_1(X0,u1_struct_0(X1))
| ( X1 != X3 )
| ( k3_finseq_1(X0) != k3_finseq_1(X2) )
| ( k1_funct_1(X0,sK576(X1,X0,X2)) != k5_rlvect_1(X1,sK577(X1,X0,X2)) ) ),
inference(resolution_lifted,[status(thm)],[c_8167,c_3788]) ).
tcf(c_105822,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X1)
| ( k5_rlvect_1(X1,k9_rlvect_1(X1,X2)) = k9_rlvect_1(X1,X0) )
| ~ sP32(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| ~ m2_finseq_1(X2,u1_struct_0(X1))
| ~ m2_finseq_1(X0,u1_struct_0(X1))
| ( k3_finseq_1(X0) != k3_finseq_1(X2) )
| ( k1_funct_1(X0,sK576(X1,X0,X2)) != k5_rlvect_1(X1,sK577(X1,X0,X2)) ) ),
inference(unflattening,[status(thm)],[c_105821]) ).
tcf(c_105824,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k1_funct_1(X0,sK576(X1,X0,X2)) != k5_rlvect_1(X1,sK577(X1,X0,X2)) )
| ( k3_finseq_1(X0) != k3_finseq_1(X2) )
| ~ m2_finseq_1(X0,u1_struct_0(X1))
| ~ m2_finseq_1(X2,u1_struct_0(X1))
| ~ sP32(X1)
| ( k5_rlvect_1(X1,k9_rlvect_1(X1,X2)) = k9_rlvect_1(X1,X0) ) ),
inference(global_subsumption_just,[status(thm)],[c_105822,c_104155]) ).
tcf(c_105825,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k5_rlvect_1(X1,k9_rlvect_1(X1,X2)) = k9_rlvect_1(X1,X0) )
| ~ sP32(X1)
| ~ m2_finseq_1(X2,u1_struct_0(X1))
| ~ m2_finseq_1(X0,u1_struct_0(X1))
| ( k3_finseq_1(X0) != k3_finseq_1(X2) )
| ( k1_funct_1(X0,sK576(X1,X0,X2)) != k5_rlvect_1(X1,sK577(X1,X0,X2)) ) ),
inference(renaming,[status(thm)],[c_105824]) ).
tcf(c_105863,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X2)
| ( k9_rlvect_1(X2,X0) = k1_rlvect_1(X2) )
| ~ sP32(X1)
| ~ v6_rlvect_1(X2)
| ~ v5_rlvect_1(X2)
| ~ v4_rlvect_1(X2)
| ~ m2_finseq_1(X0,u1_struct_0(X2))
| ( X1 != X2 )
| ( k3_finseq_1(X0) != np__0 ) ),
inference(resolution_lifted,[status(thm)],[c_8167,c_3589]) ).
tcf(c_105864,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| ( k9_rlvect_1(X1,X0) = k1_rlvect_1(X1) )
| ~ sP32(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ m2_finseq_1(X0,u1_struct_0(X1))
| ( k3_finseq_1(X0) != np__0 ) ),
inference(unflattening,[status(thm)],[c_105863]) ).
tcf(c_105882,plain,
! [X0: $i,X1: $i] :
( ( k9_rlvect_1(X1,X0) = k1_rlvect_1(X1) )
| ~ sP32(X1)
| ~ m2_finseq_1(X0,u1_struct_0(X1))
| ( k3_finseq_1(X0) != np__0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_105864,c_6694,c_8339,c_8337,c_8171]) ).
tcf(c_105888,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X2)
| ( k9_rlvect_1(X2,X0) = k1_funct_1(X0,np__1) )
| ~ sP32(X1)
| ~ v6_rlvect_1(X2)
| ~ v5_rlvect_1(X2)
| ~ v4_rlvect_1(X2)
| ~ m2_finseq_1(X0,u1_struct_0(X2))
| ( X1 != X2 )
| ( k3_finseq_1(X0) != np__1 ) ),
inference(resolution_lifted,[status(thm)],[c_8167,c_3588]) ).
tcf(c_105889,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| ( k9_rlvect_1(X1,X0) = k1_funct_1(X0,np__1) )
| ~ sP32(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ m2_finseq_1(X0,u1_struct_0(X1))
| ( k3_finseq_1(X0) != np__1 ) ),
inference(unflattening,[status(thm)],[c_105888]) ).
tcf(c_105907,plain,
! [X0: $i,X1: $i] :
( ( k9_rlvect_1(X1,X0) = k1_funct_1(X0,np__1) )
| ~ sP32(X1)
| ~ m2_finseq_1(X0,u1_struct_0(X1))
| ( k3_finseq_1(X0) != np__1 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_105889,c_6694,c_8339,c_8337,c_8171]) ).
tcf(c_105932,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v3_struct_0(X1)
| ( k2_rlvect_1(X1,X2,X3) = k2_rlvect_1(X1,X3,X2) )
| ~ sP32(X0)
| ~ v3_rlvect_1(X1)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ( X0 != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_8167,c_3450]) ).
tcf(c_105933,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X1)
| ( k2_rlvect_1(X1,X0,X2) = k2_rlvect_1(X1,X2,X0) )
| ~ sP32(X1)
| ~ v3_rlvect_1(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(unflattening,[status(thm)],[c_105932]) ).
tcf(c_105935,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ sP32(X1)
| ( k2_rlvect_1(X1,X0,X2) = k2_rlvect_1(X1,X2,X0) ) ),
inference(global_subsumption_just,[status(thm)],[c_105933,c_104178]) ).
tcf(c_105936,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k2_rlvect_1(X1,X0,X2) = k2_rlvect_1(X1,X2,X0) )
| ~ sP32(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(renaming,[status(thm)],[c_105935]) ).
tcf(c_105972,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X1)
| ( k2_rlvect_1(X1,X2,k1_rlvect_1(X1)) = X2 )
| ~ sP32(X0)
| ~ v5_rlvect_1(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ( X0 != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_8167,c_6436]) ).
tcf(c_105973,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| ( k2_rlvect_1(X1,X0,k1_rlvect_1(X1)) = X0 )
| ~ sP32(X1)
| ~ v5_rlvect_1(X1)
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(unflattening,[status(thm)],[c_105972]) ).
tcf(c_105985,plain,
! [X0: $i,X1: $i] :
( ( k2_rlvect_1(X1,X0,k1_rlvect_1(X1)) = X0 )
| ~ sP32(X1)
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_105973,c_6694,c_8337]) ).
tcf(c_105989,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X1)
| ( k2_rlvect_1(X1,X2,sK537(X1,X2)) = k1_rlvect_1(X1) )
| ~ sP32(X0)
| ~ v6_rlvect_1(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ( X0 != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_8167,c_3438]) ).
tcf(c_105990,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| ( k2_rlvect_1(X1,X0,sK537(X1,X0)) = k1_rlvect_1(X1) )
| ~ sP32(X1)
| ~ v6_rlvect_1(X1)
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(unflattening,[status(thm)],[c_105989]) ).
tcf(c_106002,plain,
! [X0: $i,X1: $i] :
( ( k2_rlvect_1(X1,X0,sK537(X1,X0)) = k1_rlvect_1(X1) )
| ~ sP32(X1)
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_105990,c_6694,c_8339]) ).
tcf(c_106007,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X1)
| m1_subset_1(sK537(X1,X2),u1_struct_0(X1))
| ~ sP32(X0)
| ~ v6_rlvect_1(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ( X0 != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_8167,c_3437]) ).
tcf(c_106008,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| m1_subset_1(sK537(X1,X0),u1_struct_0(X1))
| ~ sP32(X1)
| ~ v6_rlvect_1(X1)
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(unflattening,[status(thm)],[c_106007]) ).
tcf(c_106020,plain,
! [X0: $i,X1: $i] :
( m1_subset_1(sK537(X1,X0),u1_struct_0(X1))
| ~ sP32(X1)
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_106008,c_6694,c_8339]) ).
tcf(c_106025,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X1)
| ( k2_rlvect_1(X1,k1_rlvect_1(X1),X2) = X2 )
| ~ sP32(X0)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ( X0 != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_8167,c_3434]) ).
tcf(c_106026,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| ( k2_rlvect_1(X1,k1_rlvect_1(X1),X0) = X0 )
| ~ sP32(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(unflattening,[status(thm)],[c_106025]) ).
tcf(c_106042,plain,
! [X0: $i,X1: $i] :
( ( k2_rlvect_1(X1,k1_rlvect_1(X1),X0) = X0 )
| ~ sP32(X1)
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_106026,c_6694,c_8339,c_8337,c_8171]) ).
tcf(c_106047,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X1)
| ( k2_rlvect_1(X1,k5_rlvect_1(X1,X2),X2) = k1_rlvect_1(X1) )
| ~ sP32(X0)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ( X0 != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_8167,c_3430]) ).
tcf(c_106048,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| ( k2_rlvect_1(X1,k5_rlvect_1(X1,X0),X0) = k1_rlvect_1(X1) )
| ~ sP32(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(unflattening,[status(thm)],[c_106047]) ).
tcf(c_106064,plain,
! [X0: $i,X1: $i] :
( ( k2_rlvect_1(X1,k5_rlvect_1(X1,X0),X0) = k1_rlvect_1(X1) )
| ~ sP32(X1)
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_106048,c_6694,c_8339,c_8337,c_8171]) ).
tcf(c_106069,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X1)
| ( k2_rlvect_1(X1,X2,k5_rlvect_1(X1,X2)) = k1_rlvect_1(X1) )
| ~ sP32(X0)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ( X0 != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_8167,c_3429]) ).
tcf(c_106070,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| ( k2_rlvect_1(X1,X0,k5_rlvect_1(X1,X0)) = k1_rlvect_1(X1) )
| ~ sP32(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(unflattening,[status(thm)],[c_106069]) ).
tcf(c_106086,plain,
! [X0: $i,X1: $i] :
( ( k2_rlvect_1(X1,X0,k5_rlvect_1(X1,X0)) = k1_rlvect_1(X1) )
| ~ sP32(X1)
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_106070,c_6694,c_8339,c_8337,c_8171]) ).
tcf(c_106091,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v3_struct_0(X1)
| ( k2_rlvect_1(X1,X2,sK535(X1,X2,X3)) = X3 )
| ~ sP32(X0)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ( X0 != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_8167,c_3427]) ).
tcf(c_106092,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X1)
| ( k2_rlvect_1(X1,X0,sK535(X1,X0,X2)) = X2 )
| ~ sP32(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(unflattening,[status(thm)],[c_106091]) ).
tcf(c_106110,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k2_rlvect_1(X1,X0,sK535(X1,X0,X2)) = X2 )
| ~ sP32(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_106092,c_6694,c_8339,c_8337,c_8171]) ).
tcf(c_106116,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v3_struct_0(X1)
| m1_subset_1(sK535(X1,X2,X3),u1_struct_0(X1))
| ~ sP32(X0)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ( X0 != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_8167,c_3426]) ).
tcf(c_106117,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X1)
| m1_subset_1(sK535(X1,X0,X2),u1_struct_0(X1))
| ~ sP32(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(unflattening,[status(thm)],[c_106116]) ).
tcf(c_106135,plain,
! [X0: $i,X1: $i,X2: $i] :
( m1_subset_1(sK535(X1,X0,X2),u1_struct_0(X1))
| ~ sP32(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_106117,c_6694,c_8339,c_8337,c_8171]) ).
tcf(c_106141,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v3_struct_0(X1)
| ( k2_rlvect_1(X1,k5_rlvect_1(X1,X3),k5_rlvect_1(X1,X2)) = k5_rlvect_1(X1,k2_rlvect_1(X1,X2,X3)) )
| ~ sP32(X0)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ( X0 != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_8167,c_3421]) ).
tcf(c_106142,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X1)
| ( k2_rlvect_1(X1,k5_rlvect_1(X1,X2),k5_rlvect_1(X1,X0)) = k5_rlvect_1(X1,k2_rlvect_1(X1,X0,X2)) )
| ~ sP32(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(unflattening,[status(thm)],[c_106141]) ).
tcf(c_106160,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k2_rlvect_1(X1,k5_rlvect_1(X1,X2),k5_rlvect_1(X1,X0)) = k5_rlvect_1(X1,k2_rlvect_1(X1,X0,X2)) )
| ~ sP32(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_106142,c_6694,c_8339,c_8337,c_8171]) ).
tcf(c_106185,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v3_struct_0(X1)
| ( k5_rlvect_1(X1,k2_rlvect_1(X1,k5_rlvect_1(X1,X3),k5_rlvect_1(X1,X2))) = k2_rlvect_1(X1,X2,X3) )
| ~ sP32(X0)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ( X0 != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_8167,c_3399]) ).
tcf(c_106186,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X1)
| ( k5_rlvect_1(X1,k2_rlvect_1(X1,k5_rlvect_1(X1,X2),k5_rlvect_1(X1,X0))) = k2_rlvect_1(X1,X0,X2) )
| ~ sP32(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(unflattening,[status(thm)],[c_106185]) ).
tcf(c_106204,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k5_rlvect_1(X1,k2_rlvect_1(X1,k5_rlvect_1(X1,X2),k5_rlvect_1(X1,X0))) = k2_rlvect_1(X1,X0,X2) )
| ~ sP32(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_106186,c_6694,c_8339,c_8337,c_8171]) ).
tcf(c_106210,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v3_struct_0(X1)
| ( k5_rlvect_1(X1,k2_rlvect_1(X1,k5_rlvect_1(X1,X2),X3)) = k2_rlvect_1(X1,k5_rlvect_1(X1,X3),X2) )
| ~ sP32(X0)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ( X0 != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_8167,c_3398]) ).
tcf(c_106211,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X1)
| ( k5_rlvect_1(X1,k2_rlvect_1(X1,k5_rlvect_1(X1,X0),X2)) = k2_rlvect_1(X1,k5_rlvect_1(X1,X2),X0) )
| ~ sP32(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(unflattening,[status(thm)],[c_106210]) ).
tcf(c_106229,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k5_rlvect_1(X1,k2_rlvect_1(X1,k5_rlvect_1(X1,X0),X2)) = k2_rlvect_1(X1,k5_rlvect_1(X1,X2),X0) )
| ~ sP32(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_106211,c_6694,c_8339,c_8337,c_8171]) ).
tcf(c_106235,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( v3_struct_0(X1)
| ( k1_binop_1(u1_rlvect_1(X1),k1_binop_1(u1_rlvect_1(X1),X2,X3),X4) = k1_binop_1(u1_rlvect_1(X1),X2,k1_binop_1(u1_rlvect_1(X1),X3,X4)) )
| ~ sP32(X0)
| ~ v4_rlvect_1(X1)
| ~ m1_subset_1(X4,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ( X0 != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_8167,c_2375]) ).
tcf(c_106236,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v3_struct_0(X1)
| ( k1_binop_1(u1_rlvect_1(X1),k1_binop_1(u1_rlvect_1(X1),X0,X2),X3) = k1_binop_1(u1_rlvect_1(X1),X0,k1_binop_1(u1_rlvect_1(X1),X2,X3)) )
| ~ sP32(X1)
| ~ v4_rlvect_1(X1)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(unflattening,[status(thm)],[c_106235]) ).
tcf(c_106252,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( k1_binop_1(u1_rlvect_1(X1),k1_binop_1(u1_rlvect_1(X1),X0,X2),X3) = k1_binop_1(u1_rlvect_1(X1),X0,k1_binop_1(u1_rlvect_1(X1),X2,X3)) )
| ~ sP32(X1)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_106236,c_6694,c_8171]) ).
tcf(c_106259,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v3_struct_0(X1)
| ( k1_binop_1(u1_rlvect_1(X1),X2,X3) = k1_binop_1(u1_rlvect_1(X1),X3,X2) )
| ~ sP32(X0)
| ~ v3_rlvect_1(X1)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ( X0 != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_8167,c_2370]) ).
tcf(c_106260,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X1)
| ( k1_binop_1(u1_rlvect_1(X1),X0,X2) = k1_binop_1(u1_rlvect_1(X1),X2,X0) )
| ~ sP32(X1)
| ~ v3_rlvect_1(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(unflattening,[status(thm)],[c_106259]) ).
tcf(c_106262,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ sP32(X1)
| ( k1_binop_1(u1_rlvect_1(X1),X0,X2) = k1_binop_1(u1_rlvect_1(X1),X2,X0) ) ),
inference(global_subsumption_just,[status(thm)],[c_106260,c_104198]) ).
tcf(c_106263,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k1_binop_1(u1_rlvect_1(X1),X0,X2) = k1_binop_1(u1_rlvect_1(X1),X2,X0) )
| ~ sP32(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(renaming,[status(thm)],[c_106262]) ).
tcf(c_106295,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v3_struct_0(X3)
| m2_subset_1(sK576(X3,X0,X1),k1_numbers,k5_numbers)
| ( k5_rlvect_1(X3,k9_rlvect_1(X3,X1)) = k9_rlvect_1(X3,X0) )
| ~ sP32(X2)
| ~ v6_rlvect_1(X3)
| ~ v5_rlvect_1(X3)
| ~ v4_rlvect_1(X3)
| ~ v3_rlvect_1(X3)
| ~ m2_finseq_1(X1,u1_struct_0(X3))
| ~ m2_finseq_1(X0,u1_struct_0(X3))
| ( X2 != X3 )
| ( k3_finseq_1(X0) != k3_finseq_1(X1) ) ),
inference(resolution_lifted,[status(thm)],[c_8167,c_3792]) ).
tcf(c_106296,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X2)
| m2_subset_1(sK576(X2,X0,X1),k1_numbers,k5_numbers)
| ( k5_rlvect_1(X2,k9_rlvect_1(X2,X1)) = k9_rlvect_1(X2,X0) )
| ~ sP32(X2)
| ~ v6_rlvect_1(X2)
| ~ v5_rlvect_1(X2)
| ~ v4_rlvect_1(X2)
| ~ v3_rlvect_1(X2)
| ~ m2_finseq_1(X1,u1_struct_0(X2))
| ~ m2_finseq_1(X0,u1_struct_0(X2))
| ( k3_finseq_1(X0) != k3_finseq_1(X1) ) ),
inference(unflattening,[status(thm)],[c_106295]) ).
tcf(c_106298,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k3_finseq_1(X0) != k3_finseq_1(X1) )
| ~ m2_finseq_1(X0,u1_struct_0(X2))
| ~ m2_finseq_1(X1,u1_struct_0(X2))
| ~ sP32(X2)
| ( k5_rlvect_1(X2,k9_rlvect_1(X2,X1)) = k9_rlvect_1(X2,X0) )
| m2_subset_1(sK576(X2,X0,X1),k1_numbers,k5_numbers) ),
inference(global_subsumption_just,[status(thm)],[c_106296,c_104895]) ).
tcf(c_106299,plain,
! [X0: $i,X1: $i,X2: $i] :
( m2_subset_1(sK576(X2,X0,X1),k1_numbers,k5_numbers)
| ( k5_rlvect_1(X2,k9_rlvect_1(X2,X1)) = k9_rlvect_1(X2,X0) )
| ~ sP32(X2)
| ~ m2_finseq_1(X1,u1_struct_0(X2))
| ~ m2_finseq_1(X0,u1_struct_0(X2))
| ( k3_finseq_1(X0) != k3_finseq_1(X1) ) ),
inference(renaming,[status(thm)],[c_106298]) ).
tcf(c_106318,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v3_struct_0(X3)
| m1_subset_1(sK577(X3,X0,X1),u1_struct_0(X3))
| ( k5_rlvect_1(X3,k9_rlvect_1(X3,X1)) = k9_rlvect_1(X3,X0) )
| ~ sP32(X2)
| ~ v6_rlvect_1(X3)
| ~ v5_rlvect_1(X3)
| ~ v4_rlvect_1(X3)
| ~ v3_rlvect_1(X3)
| ~ m2_finseq_1(X1,u1_struct_0(X3))
| ~ m2_finseq_1(X0,u1_struct_0(X3))
| ( X2 != X3 )
| ( k3_finseq_1(X0) != k3_finseq_1(X1) ) ),
inference(resolution_lifted,[status(thm)],[c_8167,c_3791]) ).
tcf(c_106319,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X2)
| m1_subset_1(sK577(X2,X0,X1),u1_struct_0(X2))
| ( k5_rlvect_1(X2,k9_rlvect_1(X2,X1)) = k9_rlvect_1(X2,X0) )
| ~ sP32(X2)
| ~ v6_rlvect_1(X2)
| ~ v5_rlvect_1(X2)
| ~ v4_rlvect_1(X2)
| ~ v3_rlvect_1(X2)
| ~ m2_finseq_1(X1,u1_struct_0(X2))
| ~ m2_finseq_1(X0,u1_struct_0(X2))
| ( k3_finseq_1(X0) != k3_finseq_1(X1) ) ),
inference(unflattening,[status(thm)],[c_106318]) ).
tcf(c_106321,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k3_finseq_1(X0) != k3_finseq_1(X1) )
| ~ m2_finseq_1(X0,u1_struct_0(X2))
| ~ m2_finseq_1(X1,u1_struct_0(X2))
| ~ sP32(X2)
| ( k5_rlvect_1(X2,k9_rlvect_1(X2,X1)) = k9_rlvect_1(X2,X0) )
| m1_subset_1(sK577(X2,X0,X1),u1_struct_0(X2)) ),
inference(global_subsumption_just,[status(thm)],[c_106319,c_104928]) ).
tcf(c_106322,plain,
! [X0: $i,X1: $i,X2: $i] :
( m1_subset_1(sK577(X2,X0,X1),u1_struct_0(X2))
| ( k5_rlvect_1(X2,k9_rlvect_1(X2,X1)) = k9_rlvect_1(X2,X0) )
| ~ sP32(X2)
| ~ m2_finseq_1(X1,u1_struct_0(X2))
| ~ m2_finseq_1(X0,u1_struct_0(X2))
| ( k3_finseq_1(X0) != k3_finseq_1(X1) ) ),
inference(renaming,[status(thm)],[c_106321]) ).
tcf(c_106341,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v3_struct_0(X3)
| ( k5_rlvect_1(X3,k9_rlvect_1(X3,X1)) = k9_rlvect_1(X3,X0) )
| ( k1_funct_1(X1,sK576(X3,X0,X1)) = sK577(X3,X0,X1) )
| ~ sP32(X2)
| ~ v6_rlvect_1(X3)
| ~ v5_rlvect_1(X3)
| ~ v4_rlvect_1(X3)
| ~ v3_rlvect_1(X3)
| ~ m2_finseq_1(X1,u1_struct_0(X3))
| ~ m2_finseq_1(X0,u1_struct_0(X3))
| ( X2 != X3 )
| ( k3_finseq_1(X0) != k3_finseq_1(X1) ) ),
inference(resolution_lifted,[status(thm)],[c_8167,c_3790]) ).
tcf(c_106342,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X2)
| ( k5_rlvect_1(X2,k9_rlvect_1(X2,X1)) = k9_rlvect_1(X2,X0) )
| ( k1_funct_1(X1,sK576(X2,X0,X1)) = sK577(X2,X0,X1) )
| ~ sP32(X2)
| ~ v6_rlvect_1(X2)
| ~ v5_rlvect_1(X2)
| ~ v4_rlvect_1(X2)
| ~ v3_rlvect_1(X2)
| ~ m2_finseq_1(X1,u1_struct_0(X2))
| ~ m2_finseq_1(X0,u1_struct_0(X2))
| ( k3_finseq_1(X0) != k3_finseq_1(X1) ) ),
inference(unflattening,[status(thm)],[c_106341]) ).
tcf(c_106344,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k3_finseq_1(X0) != k3_finseq_1(X1) )
| ~ m2_finseq_1(X0,u1_struct_0(X2))
| ~ m2_finseq_1(X1,u1_struct_0(X2))
| ~ sP32(X2)
| ( k1_funct_1(X1,sK576(X2,X0,X1)) = sK577(X2,X0,X1) )
| ( k5_rlvect_1(X2,k9_rlvect_1(X2,X1)) = k9_rlvect_1(X2,X0) ) ),
inference(global_subsumption_just,[status(thm)],[c_106342,c_104961]) ).
tcf(c_106345,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k5_rlvect_1(X2,k9_rlvect_1(X2,X1)) = k9_rlvect_1(X2,X0) )
| ( k1_funct_1(X1,sK576(X2,X0,X1)) = sK577(X2,X0,X1) )
| ~ sP32(X2)
| ~ m2_finseq_1(X1,u1_struct_0(X2))
| ~ m2_finseq_1(X0,u1_struct_0(X2))
| ( k3_finseq_1(X0) != k3_finseq_1(X1) ) ),
inference(renaming,[status(thm)],[c_106344]) ).
tcf(c_106364,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v3_struct_0(X3)
| r2_hidden(sK576(X3,X0,X1),k4_finseq_1(X0))
| ( k5_rlvect_1(X3,k9_rlvect_1(X3,X1)) = k9_rlvect_1(X3,X0) )
| ~ sP32(X2)
| ~ v6_rlvect_1(X3)
| ~ v5_rlvect_1(X3)
| ~ v4_rlvect_1(X3)
| ~ v3_rlvect_1(X3)
| ~ m2_finseq_1(X1,u1_struct_0(X3))
| ~ m2_finseq_1(X0,u1_struct_0(X3))
| ( X2 != X3 )
| ( k3_finseq_1(X0) != k3_finseq_1(X1) ) ),
inference(resolution_lifted,[status(thm)],[c_8167,c_3789]) ).
tcf(c_106365,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X2)
| r2_hidden(sK576(X2,X0,X1),k4_finseq_1(X0))
| ( k5_rlvect_1(X2,k9_rlvect_1(X2,X1)) = k9_rlvect_1(X2,X0) )
| ~ sP32(X2)
| ~ v6_rlvect_1(X2)
| ~ v5_rlvect_1(X2)
| ~ v4_rlvect_1(X2)
| ~ v3_rlvect_1(X2)
| ~ m2_finseq_1(X1,u1_struct_0(X2))
| ~ m2_finseq_1(X0,u1_struct_0(X2))
| ( k3_finseq_1(X0) != k3_finseq_1(X1) ) ),
inference(unflattening,[status(thm)],[c_106364]) ).
tcf(c_106367,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k3_finseq_1(X0) != k3_finseq_1(X1) )
| ~ m2_finseq_1(X0,u1_struct_0(X2))
| ~ m2_finseq_1(X1,u1_struct_0(X2))
| ~ sP32(X2)
| ( k5_rlvect_1(X2,k9_rlvect_1(X2,X1)) = k9_rlvect_1(X2,X0) )
| r2_hidden(sK576(X2,X0,X1),k4_finseq_1(X0)) ),
inference(global_subsumption_just,[status(thm)],[c_106365,c_104994]) ).
tcf(c_106368,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(sK576(X2,X0,X1),k4_finseq_1(X0))
| ( k5_rlvect_1(X2,k9_rlvect_1(X2,X1)) = k9_rlvect_1(X2,X0) )
| ~ sP32(X2)
| ~ m2_finseq_1(X1,u1_struct_0(X2))
| ~ m2_finseq_1(X0,u1_struct_0(X2))
| ( k3_finseq_1(X0) != k3_finseq_1(X1) ) ),
inference(renaming,[status(thm)],[c_106367]) ).
tcf(c_106440,plain,
! [X0: $i] :
( m2_relset_1(u1_rlvect_1(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ( X0 != sK530 ) ),
inference(resolution_lifted,[status(thm)],[c_8162,c_3397]) ).
tcf(c_106441,plain,
m2_relset_1(u1_rlvect_1(sK530),k2_zfmisc_1(u1_struct_0(sK530),u1_struct_0(sK530)),u1_struct_0(sK530)),
inference(unflattening,[status(thm)],[c_106440]) ).
tcf(c_106445,plain,
! [X0: $i] :
( v1_funct_2(u1_rlvect_1(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ( X0 != sK530 ) ),
inference(resolution_lifted,[status(thm)],[c_8160,c_3397]) ).
tcf(c_106446,plain,
v1_funct_2(u1_rlvect_1(sK530),k2_zfmisc_1(u1_struct_0(sK530),u1_struct_0(sK530)),u1_struct_0(sK530)),
inference(unflattening,[status(thm)],[c_106445]) ).
tcf(c_106450,plain,
! [X0: $i] :
( v1_funct_1(u1_rlvect_1(X0))
| ( X0 != sK530 ) ),
inference(resolution_lifted,[status(thm)],[c_8164,c_3397]) ).
tcf(c_106451,plain,
v1_funct_1(u1_rlvect_1(sK530)),
inference(unflattening,[status(thm)],[c_106450]) ).
tcf(c_106455,plain,
! [X0: $i] :
( v3_rlvect_1(X0)
| v3_struct_0(X0)
| m1_subset_1(sK542(X0),u1_struct_0(X0))
| ( X0 != sK530 ) ),
inference(resolution_lifted,[status(thm)],[c_3449,c_3397]) ).
tcf(c_106456,plain,
( v3_rlvect_1(sK530)
| v3_struct_0(sK530)
| m1_subset_1(sK542(sK530),u1_struct_0(sK530)) ),
inference(unflattening,[status(thm)],[c_106455]) ).
tcf(c_106466,plain,
! [X0: $i] :
( v3_rlvect_1(X0)
| v3_struct_0(X0)
| m1_subset_1(sK543(X0),u1_struct_0(X0))
| ( X0 != sK530 ) ),
inference(resolution_lifted,[status(thm)],[c_3448,c_3397]) ).
tcf(c_106467,plain,
( v3_rlvect_1(sK530)
| v3_struct_0(sK530)
| m1_subset_1(sK543(sK530),u1_struct_0(sK530)) ),
inference(unflattening,[status(thm)],[c_106466]) ).
tcf(c_106477,plain,
! [X0: $i] :
( v3_rlvect_1(X0)
| v3_struct_0(X0)
| ( X0 != sK530 )
| ( k2_rlvect_1(X0,sK542(X0),sK543(X0)) != k2_rlvect_1(X0,sK543(X0),sK542(X0)) ) ),
inference(resolution_lifted,[status(thm)],[c_3447,c_3397]) ).
tcf(c_106478,plain,
( v3_rlvect_1(sK530)
| v3_struct_0(sK530)
| ( k2_rlvect_1(sK530,sK542(sK530),sK543(sK530)) != k2_rlvect_1(sK530,sK543(sK530),sK542(sK530)) ) ),
inference(unflattening,[status(thm)],[c_106477]) ).
tcf(c_106488,plain,
! [X0: $i] :
( v4_rlvect_1(X0)
| v3_struct_0(X0)
| m1_subset_1(sK539(X0),u1_struct_0(X0))
| ( X0 != sK530 ) ),
inference(resolution_lifted,[status(thm)],[c_3445,c_3397]) ).
tcf(c_106489,plain,
( v4_rlvect_1(sK530)
| v3_struct_0(sK530)
| m1_subset_1(sK539(sK530),u1_struct_0(sK530)) ),
inference(unflattening,[status(thm)],[c_106488]) ).
tcf(c_106499,plain,
! [X0: $i] :
( v4_rlvect_1(X0)
| v3_struct_0(X0)
| m1_subset_1(sK540(X0),u1_struct_0(X0))
| ( X0 != sK530 ) ),
inference(resolution_lifted,[status(thm)],[c_3444,c_3397]) ).
tcf(c_106500,plain,
( v4_rlvect_1(sK530)
| v3_struct_0(sK530)
| m1_subset_1(sK540(sK530),u1_struct_0(sK530)) ),
inference(unflattening,[status(thm)],[c_106499]) ).
tcf(c_106510,plain,
! [X0: $i] :
( v4_rlvect_1(X0)
| v3_struct_0(X0)
| m1_subset_1(sK541(X0),u1_struct_0(X0))
| ( X0 != sK530 ) ),
inference(resolution_lifted,[status(thm)],[c_3443,c_3397]) ).
tcf(c_106511,plain,
( v4_rlvect_1(sK530)
| v3_struct_0(sK530)
| m1_subset_1(sK541(sK530),u1_struct_0(sK530)) ),
inference(unflattening,[status(thm)],[c_106510]) ).
tcf(c_106521,plain,
! [X0: $i] :
( v4_rlvect_1(X0)
| v3_struct_0(X0)
| ( X0 != sK530 )
| ( k2_rlvect_1(X0,k2_rlvect_1(X0,sK539(X0),sK540(X0)),sK541(X0)) != k2_rlvect_1(X0,sK539(X0),k2_rlvect_1(X0,sK540(X0),sK541(X0))) ) ),
inference(resolution_lifted,[status(thm)],[c_3442,c_3397]) ).
tcf(c_106522,plain,
( v4_rlvect_1(sK530)
| v3_struct_0(sK530)
| ( k2_rlvect_1(sK530,k2_rlvect_1(sK530,sK539(sK530),sK540(sK530)),sK541(sK530)) != k2_rlvect_1(sK530,sK539(sK530),k2_rlvect_1(sK530,sK540(sK530),sK541(sK530))) ) ),
inference(unflattening,[status(thm)],[c_106521]) ).
tcf(c_106532,plain,
! [X0: $i] :
( v5_rlvect_1(X0)
| v3_struct_0(X0)
| m1_subset_1(sK538(X0),u1_struct_0(X0))
| ( X0 != sK530 ) ),
inference(resolution_lifted,[status(thm)],[c_3440,c_3397]) ).
tcf(c_106533,plain,
( v5_rlvect_1(sK530)
| v3_struct_0(sK530)
| m1_subset_1(sK538(sK530),u1_struct_0(sK530)) ),
inference(unflattening,[status(thm)],[c_106532]) ).
tcf(c_106543,plain,
! [X0: $i] :
( v5_rlvect_1(X0)
| v3_struct_0(X0)
| ( X0 != sK530 )
| ( k2_rlvect_1(X0,sK538(X0),k1_rlvect_1(X0)) != sK538(X0) ) ),
inference(resolution_lifted,[status(thm)],[c_3439,c_3397]) ).
tcf(c_106544,plain,
( v5_rlvect_1(sK530)
| v3_struct_0(sK530)
| ( k2_rlvect_1(sK530,sK538(sK530),k1_rlvect_1(sK530)) != sK538(sK530) ) ),
inference(unflattening,[status(thm)],[c_106543]) ).
tcf(c_106554,plain,
! [X0: $i] :
( v6_rlvect_1(X0)
| v3_struct_0(X0)
| m1_subset_1(sK536(X0),u1_struct_0(X0))
| ( X0 != sK530 ) ),
inference(resolution_lifted,[status(thm)],[c_3436,c_3397]) ).
tcf(c_106555,plain,
( v6_rlvect_1(sK530)
| v3_struct_0(sK530)
| m1_subset_1(sK536(sK530),u1_struct_0(sK530)) ),
inference(unflattening,[status(thm)],[c_106554]) ).
tcf(c_106565,plain,
! [X0: $i,X1: $i] :
( v6_rlvect_1(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ( X0 != sK530 )
| ( k2_rlvect_1(X0,sK536(X0),X1) != k1_rlvect_1(X0) ) ),
inference(resolution_lifted,[status(thm)],[c_3435,c_3397]) ).
tcf(c_106566,plain,
! [X0: $i] :
( v6_rlvect_1(sK530)
| v3_struct_0(sK530)
| ~ m1_subset_1(X0,u1_struct_0(sK530))
| ( k2_rlvect_1(sK530,sK536(sK530),X0) != k1_rlvect_1(sK530) ) ),
inference(unflattening,[status(thm)],[c_106565]) ).
tcf(c_106580,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X0)
| ( k5_rlvect_1(X0,X2) = X1 )
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ( X0 != sK530 )
| ( k2_rlvect_1(X0,X1,X2) != k1_rlvect_1(X0) ) ),
inference(resolution_lifted,[status(thm)],[c_3428,c_3397]) ).
tcf(c_106581,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(sK530)
| ( k5_rlvect_1(sK530,X1) = X0 )
| ~ v6_rlvect_1(sK530)
| ~ v5_rlvect_1(sK530)
| ~ v4_rlvect_1(sK530)
| ~ m1_subset_1(X1,u1_struct_0(sK530))
| ~ m1_subset_1(X0,u1_struct_0(sK530))
| ( k2_rlvect_1(sK530,X0,X1) != k1_rlvect_1(sK530) ) ),
inference(unflattening,[status(thm)],[c_106580]) ).
tcf(c_106607,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( v3_struct_0(X0)
| ( X1 = X3 )
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ m1_subset_1(X4,u1_struct_0(X0))
| ~ m1_subset_1(X3,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ( X0 != sK530 )
| ( k2_rlvect_1(X0,X1,X2) != k2_rlvect_1(X0,X3,X2) ) ),
inference(resolution_lifted,[status(thm)],[c_3425,c_3397]) ).
tcf(c_106608,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v3_struct_0(sK530)
| ( X0 = X2 )
| ~ v6_rlvect_1(sK530)
| ~ v5_rlvect_1(sK530)
| ~ v4_rlvect_1(sK530)
| ~ m1_subset_1(X3,u1_struct_0(sK530))
| ~ m1_subset_1(X2,u1_struct_0(sK530))
| ~ m1_subset_1(X1,u1_struct_0(sK530))
| ~ m1_subset_1(X0,u1_struct_0(sK530))
| ( k2_rlvect_1(sK530,X0,X1) != k2_rlvect_1(sK530,X2,X1) ) ),
inference(unflattening,[status(thm)],[c_106607]) ).
tcf(c_106640,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( v3_struct_0(X0)
| ( X2 = X3 )
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ m1_subset_1(X4,u1_struct_0(X0))
| ~ m1_subset_1(X3,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ( X0 != sK530 )
| ( k2_rlvect_1(X0,X1,X2) != k2_rlvect_1(X0,X1,X3) ) ),
inference(resolution_lifted,[status(thm)],[c_3424,c_3397]) ).
tcf(c_106641,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v3_struct_0(sK530)
| ( X1 = X2 )
| ~ v6_rlvect_1(sK530)
| ~ v5_rlvect_1(sK530)
| ~ v4_rlvect_1(sK530)
| ~ m1_subset_1(X3,u1_struct_0(sK530))
| ~ m1_subset_1(X2,u1_struct_0(sK530))
| ~ m1_subset_1(X1,u1_struct_0(sK530))
| ~ m1_subset_1(X0,u1_struct_0(sK530))
| ( k2_rlvect_1(sK530,X0,X1) != k2_rlvect_1(sK530,X0,X2) ) ),
inference(unflattening,[status(thm)],[c_106640]) ).
tcf(c_106672,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X0)
| ( k1_rlvect_1(X0) = X1 )
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ( X0 != sK530 )
| ( k2_rlvect_1(X0,X1,X2) != X2 ) ),
inference(resolution_lifted,[status(thm)],[c_3423,c_3397]) ).
tcf(c_106673,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(sK530)
| ( k1_rlvect_1(sK530) = X0 )
| ~ v6_rlvect_1(sK530)
| ~ v5_rlvect_1(sK530)
| ~ v4_rlvect_1(sK530)
| ~ m1_subset_1(X1,u1_struct_0(sK530))
| ~ m1_subset_1(X0,u1_struct_0(sK530))
| ( k2_rlvect_1(sK530,X0,X1) != X1 ) ),
inference(unflattening,[status(thm)],[c_106672]) ).
tcf(c_106699,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X0)
| ( k1_rlvect_1(X0) = X2 )
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ( X0 != sK530 )
| ( k2_rlvect_1(X0,X1,X2) != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_3422,c_3397]) ).
tcf(c_106700,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(sK530)
| ( k1_rlvect_1(sK530) = X1 )
| ~ v6_rlvect_1(sK530)
| ~ v5_rlvect_1(sK530)
| ~ v4_rlvect_1(sK530)
| ~ m1_subset_1(X1,u1_struct_0(sK530))
| ~ m1_subset_1(X0,u1_struct_0(sK530))
| ( k2_rlvect_1(sK530,X0,X1) != X0 ) ),
inference(unflattening,[status(thm)],[c_106699]) ).
tcf(c_106725,plain,
! [X0: $i] :
( sP32(X0)
| v3_struct_0(X0)
| ~ sP31(X0)
| ( X0 != sK530 ) ),
inference(resolution_lifted,[status(thm)],[c_3419,c_3397]) ).
tcf(c_106726,plain,
( sP32(sK530)
| v3_struct_0(sK530)
| ~ sP31(sK530) ),
inference(unflattening,[status(thm)],[c_106725]) ).
tcf(c_106736,plain,
! [X0: $i] :
( sP32(X0)
| v3_struct_0(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| ( X0 != sK530 ) ),
inference(resolution_lifted,[status(thm)],[c_3402,c_3397]) ).
tcf(c_106737,plain,
( sP32(sK530)
| v3_struct_0(sK530)
| ~ v6_rlvect_1(sK530)
| ~ v5_rlvect_1(sK530)
| ~ v4_rlvect_1(sK530)
| ~ v3_rlvect_1(sK530) ),
inference(unflattening,[status(thm)],[c_106736]) ).
tcf(c_106756,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X0)
| ( k5_rlvect_1(X0,X1) = X2 )
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ( X0 != sK530 )
| ( k2_rlvect_1(X0,X1,X2) != k1_rlvect_1(X0) ) ),
inference(resolution_lifted,[status(thm)],[c_3401,c_3397]) ).
tcf(c_106757,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(sK530)
| ( k5_rlvect_1(sK530,X0) = X1 )
| ~ v6_rlvect_1(sK530)
| ~ v5_rlvect_1(sK530)
| ~ v4_rlvect_1(sK530)
| ~ m1_subset_1(X1,u1_struct_0(sK530))
| ~ m1_subset_1(X0,u1_struct_0(sK530))
| ( k2_rlvect_1(sK530,X0,X1) != k1_rlvect_1(sK530) ) ),
inference(unflattening,[status(thm)],[c_106756]) ).
tcf(c_106782,plain,
! [X0: $i] :
( v4_rlvect_1(X0)
| v3_struct_0(X0)
| m1_subset_1(sK372(X0),u1_struct_0(X0))
| ( X0 != sK530 ) ),
inference(resolution_lifted,[status(thm)],[c_2374,c_3397]) ).
tcf(c_106783,plain,
( v4_rlvect_1(sK530)
| v3_struct_0(sK530)
| m1_subset_1(sK372(sK530),u1_struct_0(sK530)) ),
inference(unflattening,[status(thm)],[c_106782]) ).
tcf(c_106793,plain,
! [X0: $i] :
( v4_rlvect_1(X0)
| v3_struct_0(X0)
| m1_subset_1(sK373(X0),u1_struct_0(X0))
| ( X0 != sK530 ) ),
inference(resolution_lifted,[status(thm)],[c_2373,c_3397]) ).
tcf(c_106794,plain,
( v4_rlvect_1(sK530)
| v3_struct_0(sK530)
| m1_subset_1(sK373(sK530),u1_struct_0(sK530)) ),
inference(unflattening,[status(thm)],[c_106793]) ).
tcf(c_106804,plain,
! [X0: $i] :
( v4_rlvect_1(X0)
| v3_struct_0(X0)
| m1_subset_1(sK374(X0),u1_struct_0(X0))
| ( X0 != sK530 ) ),
inference(resolution_lifted,[status(thm)],[c_2372,c_3397]) ).
tcf(c_106805,plain,
( v4_rlvect_1(sK530)
| v3_struct_0(sK530)
| m1_subset_1(sK374(sK530),u1_struct_0(sK530)) ),
inference(unflattening,[status(thm)],[c_106804]) ).
tcf(c_106815,plain,
! [X0: $i] :
( v4_rlvect_1(X0)
| v3_struct_0(X0)
| ( X0 != sK530 )
| ( k1_binop_1(u1_rlvect_1(X0),k1_binop_1(u1_rlvect_1(X0),sK372(X0),sK373(X0)),sK374(X0)) != k1_binop_1(u1_rlvect_1(X0),sK372(X0),k1_binop_1(u1_rlvect_1(X0),sK373(X0),sK374(X0))) ) ),
inference(resolution_lifted,[status(thm)],[c_2371,c_3397]) ).
tcf(c_106816,plain,
( v4_rlvect_1(sK530)
| v3_struct_0(sK530)
| ( k1_binop_1(u1_rlvect_1(sK530),k1_binop_1(u1_rlvect_1(sK530),sK372(sK530),sK373(sK530)),sK374(sK530)) != k1_binop_1(u1_rlvect_1(sK530),sK372(sK530),k1_binop_1(u1_rlvect_1(sK530),sK373(sK530),sK374(sK530))) ) ),
inference(unflattening,[status(thm)],[c_106815]) ).
tcf(c_106826,plain,
! [X0: $i] :
( v3_rlvect_1(X0)
| v3_struct_0(X0)
| m1_subset_1(sK370(X0),u1_struct_0(X0))
| ( X0 != sK530 ) ),
inference(resolution_lifted,[status(thm)],[c_2369,c_3397]) ).
tcf(c_106827,plain,
( v3_rlvect_1(sK530)
| v3_struct_0(sK530)
| m1_subset_1(sK370(sK530),u1_struct_0(sK530)) ),
inference(unflattening,[status(thm)],[c_106826]) ).
tcf(c_106837,plain,
! [X0: $i] :
( v3_rlvect_1(X0)
| v3_struct_0(X0)
| m1_subset_1(sK371(X0),u1_struct_0(X0))
| ( X0 != sK530 ) ),
inference(resolution_lifted,[status(thm)],[c_2368,c_3397]) ).
tcf(c_106838,plain,
( v3_rlvect_1(sK530)
| v3_struct_0(sK530)
| m1_subset_1(sK371(sK530),u1_struct_0(sK530)) ),
inference(unflattening,[status(thm)],[c_106837]) ).
tcf(c_106848,plain,
! [X0: $i] :
( v3_rlvect_1(X0)
| v3_struct_0(X0)
| ( X0 != sK530 )
| ( k1_binop_1(u1_rlvect_1(X0),sK370(X0),sK371(X0)) != k1_binop_1(u1_rlvect_1(X0),sK371(X0),sK370(X0)) ) ),
inference(resolution_lifted,[status(thm)],[c_2367,c_3397]) ).
tcf(c_106849,plain,
( v3_rlvect_1(sK530)
| v3_struct_0(sK530)
| ( k1_binop_1(u1_rlvect_1(sK530),sK370(sK530),sK371(sK530)) != k1_binop_1(u1_rlvect_1(sK530),sK371(sK530),sK370(sK530)) ) ),
inference(unflattening,[status(thm)],[c_106848]) ).
tcf(c_106859,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X1)
| ( k5_rlvect_1(X1,k9_rlvect_1(X1,X2)) = k9_rlvect_1(X1,X0) )
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| ~ m2_finseq_1(X2,u1_struct_0(X1))
| ~ m2_finseq_1(X0,u1_struct_0(X1))
| ( X1 != sK530 )
| ( k3_finseq_1(X0) != k3_finseq_1(X2) )
| ( k1_funct_1(X0,sK576(X1,X0,X2)) != k5_rlvect_1(X1,sK577(X1,X0,X2)) ) ),
inference(resolution_lifted,[status(thm)],[c_3788,c_3397]) ).
tcf(c_106860,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(sK530)
| ( k5_rlvect_1(sK530,k9_rlvect_1(sK530,X1)) = k9_rlvect_1(sK530,X0) )
| ~ v6_rlvect_1(sK530)
| ~ v5_rlvect_1(sK530)
| ~ v4_rlvect_1(sK530)
| ~ v3_rlvect_1(sK530)
| ~ m2_finseq_1(X1,u1_struct_0(sK530))
| ~ m2_finseq_1(X0,u1_struct_0(sK530))
| ( k3_finseq_1(X0) != k3_finseq_1(X1) )
| ( k1_funct_1(X0,sK576(sK530,X0,X1)) != k5_rlvect_1(sK530,sK577(sK530,X0,X1)) ) ),
inference(unflattening,[status(thm)],[c_106859]) ).
tcf(c_106892,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X0)
| sP35(X2,X1,X0)
| ~ m2_finseq_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ( X0 != sK530 ) ),
inference(resolution_lifted,[status(thm)],[c_3722,c_3397]) ).
tcf(c_106893,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(sK530)
| sP35(X1,X0,sK530)
| ~ m2_finseq_1(X1,u1_struct_0(sK530))
| ~ m1_subset_1(X0,u1_struct_0(sK530)) ),
inference(unflattening,[status(thm)],[c_106892]) ).
tcf(c_106907,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| ( k9_rlvect_1(X1,X0) = k1_rlvect_1(X1) )
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ m2_finseq_1(X0,u1_struct_0(X1))
| ( X1 != sK530 )
| ( k3_finseq_1(X0) != np__0 ) ),
inference(resolution_lifted,[status(thm)],[c_3589,c_3397]) ).
tcf(c_106908,plain,
! [X0: $i] :
( v3_struct_0(sK530)
| ( k9_rlvect_1(sK530,X0) = k1_rlvect_1(sK530) )
| ~ v6_rlvect_1(sK530)
| ~ v5_rlvect_1(sK530)
| ~ v4_rlvect_1(sK530)
| ~ m2_finseq_1(X0,u1_struct_0(sK530))
| ( k3_finseq_1(X0) != np__0 ) ),
inference(unflattening,[status(thm)],[c_106907]) ).
tcf(c_106931,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| ( k9_rlvect_1(X1,X0) = k1_funct_1(X0,np__1) )
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ m2_finseq_1(X0,u1_struct_0(X1))
| ( X1 != sK530 )
| ( k3_finseq_1(X0) != np__1 ) ),
inference(resolution_lifted,[status(thm)],[c_3588,c_3397]) ).
tcf(c_106932,plain,
! [X0: $i] :
( v3_struct_0(sK530)
| ( k9_rlvect_1(sK530,X0) = k1_funct_1(X0,np__1) )
| ~ v6_rlvect_1(sK530)
| ~ v5_rlvect_1(sK530)
| ~ v4_rlvect_1(sK530)
| ~ m2_finseq_1(X0,u1_struct_0(sK530))
| ( k3_finseq_1(X0) != np__1 ) ),
inference(unflattening,[status(thm)],[c_106931]) ).
tcf(c_106955,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X0)
| ( k2_binop_1(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),u1_rlvect_1(X0),X1,X2) = k2_rlvect_1(X0,X1,X2) )
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ( X0 != sK530 ) ),
inference(resolution_lifted,[status(thm)],[c_3454,c_3397]) ).
tcf(c_106956,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(sK530)
| ( k2_binop_1(u1_struct_0(sK530),u1_struct_0(sK530),u1_struct_0(sK530),u1_rlvect_1(sK530),X0,X1) = k2_rlvect_1(sK530,X0,X1) )
| ~ m1_subset_1(X1,u1_struct_0(sK530))
| ~ m1_subset_1(X0,u1_struct_0(sK530)) ),
inference(unflattening,[status(thm)],[c_106955]) ).
tcf(c_106970,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X0)
| ( k2_rlvect_1(X0,X1,X2) = k2_rlvect_1(X0,X2,X1) )
| ~ v3_rlvect_1(X0)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ( X0 != sK530 ) ),
inference(resolution_lifted,[status(thm)],[c_3450,c_3397]) ).
tcf(c_106971,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(sK530)
| ( k2_rlvect_1(sK530,X0,X1) = k2_rlvect_1(sK530,X1,X0) )
| ~ v3_rlvect_1(sK530)
| ~ m1_subset_1(X1,u1_struct_0(sK530))
| ~ m1_subset_1(X0,u1_struct_0(sK530)) ),
inference(unflattening,[status(thm)],[c_106970]) ).
tcf(c_106988,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v3_struct_0(X0)
| ( k2_rlvect_1(X0,k2_rlvect_1(X0,X1,X2),X3) = k2_rlvect_1(X0,X1,k2_rlvect_1(X0,X2,X3)) )
| ~ v4_rlvect_1(X0)
| ~ m1_subset_1(X3,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ( X0 != sK530 ) ),
inference(resolution_lifted,[status(thm)],[c_3446,c_3397]) ).
tcf(c_106989,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(sK530)
| ( k2_rlvect_1(sK530,k2_rlvect_1(sK530,X0,X1),X2) = k2_rlvect_1(sK530,X0,k2_rlvect_1(sK530,X1,X2)) )
| ~ v4_rlvect_1(sK530)
| ~ m1_subset_1(X2,u1_struct_0(sK530))
| ~ m1_subset_1(X1,u1_struct_0(sK530))
| ~ m1_subset_1(X0,u1_struct_0(sK530)) ),
inference(unflattening,[status(thm)],[c_106988]) ).
tcf(c_107009,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X0)
| ( k2_rlvect_1(X0,X1,k1_rlvect_1(X0)) = X1 )
| ~ v5_rlvect_1(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ( X0 != sK530 ) ),
inference(resolution_lifted,[status(thm)],[c_6436,c_3397]) ).
tcf(c_107010,plain,
! [X0: $i] :
( v3_struct_0(sK530)
| ( k2_rlvect_1(sK530,X0,k1_rlvect_1(sK530)) = X0 )
| ~ v5_rlvect_1(sK530)
| ~ m1_subset_1(X0,u1_struct_0(sK530)) ),
inference(unflattening,[status(thm)],[c_107009]) ).
tcf(c_107024,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X0)
| ( k2_rlvect_1(X0,X1,sK537(X0,X1)) = k1_rlvect_1(X0) )
| ~ v6_rlvect_1(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ( X0 != sK530 ) ),
inference(resolution_lifted,[status(thm)],[c_3438,c_3397]) ).
tcf(c_107025,plain,
! [X0: $i] :
( v3_struct_0(sK530)
| ( k2_rlvect_1(sK530,X0,sK537(sK530,X0)) = k1_rlvect_1(sK530) )
| ~ v6_rlvect_1(sK530)
| ~ m1_subset_1(X0,u1_struct_0(sK530)) ),
inference(unflattening,[status(thm)],[c_107024]) ).
tcf(c_107039,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X0)
| m1_subset_1(sK537(X0,X1),u1_struct_0(X0))
| ~ v6_rlvect_1(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ( X0 != sK530 ) ),
inference(resolution_lifted,[status(thm)],[c_3437,c_3397]) ).
tcf(c_107040,plain,
! [X0: $i] :
( v3_struct_0(sK530)
| m1_subset_1(sK537(sK530,X0),u1_struct_0(sK530))
| ~ v6_rlvect_1(sK530)
| ~ m1_subset_1(X0,u1_struct_0(sK530)) ),
inference(unflattening,[status(thm)],[c_107039]) ).
tcf(c_107054,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X0)
| ( k2_rlvect_1(X0,k1_rlvect_1(X0),X1) = X1 )
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ( X0 != sK530 ) ),
inference(resolution_lifted,[status(thm)],[c_3434,c_3397]) ).
tcf(c_107055,plain,
! [X0: $i] :
( v3_struct_0(sK530)
| ( k2_rlvect_1(sK530,k1_rlvect_1(sK530),X0) = X0 )
| ~ v6_rlvect_1(sK530)
| ~ v5_rlvect_1(sK530)
| ~ v4_rlvect_1(sK530)
| ~ m1_subset_1(X0,u1_struct_0(sK530)) ),
inference(unflattening,[status(thm)],[c_107054]) ).
tcf(c_107075,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X0)
| ( k2_rlvect_1(X0,k5_rlvect_1(X0,X1),X1) = k1_rlvect_1(X0) )
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ( X0 != sK530 ) ),
inference(resolution_lifted,[status(thm)],[c_3430,c_3397]) ).
tcf(c_107076,plain,
! [X0: $i] :
( v3_struct_0(sK530)
| ( k2_rlvect_1(sK530,k5_rlvect_1(sK530,X0),X0) = k1_rlvect_1(sK530) )
| ~ v6_rlvect_1(sK530)
| ~ v5_rlvect_1(sK530)
| ~ v4_rlvect_1(sK530)
| ~ m1_subset_1(X0,u1_struct_0(sK530)) ),
inference(unflattening,[status(thm)],[c_107075]) ).
tcf(c_107096,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X0)
| ( k2_rlvect_1(X0,X1,k5_rlvect_1(X0,X1)) = k1_rlvect_1(X0) )
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ( X0 != sK530 ) ),
inference(resolution_lifted,[status(thm)],[c_3429,c_3397]) ).
tcf(c_107097,plain,
! [X0: $i] :
( v3_struct_0(sK530)
| ( k2_rlvect_1(sK530,X0,k5_rlvect_1(sK530,X0)) = k1_rlvect_1(sK530) )
| ~ v6_rlvect_1(sK530)
| ~ v5_rlvect_1(sK530)
| ~ v4_rlvect_1(sK530)
| ~ m1_subset_1(X0,u1_struct_0(sK530)) ),
inference(unflattening,[status(thm)],[c_107096]) ).
tcf(c_107117,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X0)
| ( k2_rlvect_1(X0,X1,sK535(X0,X1,X2)) = X2 )
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ( X0 != sK530 ) ),
inference(resolution_lifted,[status(thm)],[c_3427,c_3397]) ).
tcf(c_107118,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(sK530)
| ( k2_rlvect_1(sK530,X0,sK535(sK530,X0,X1)) = X1 )
| ~ v6_rlvect_1(sK530)
| ~ v5_rlvect_1(sK530)
| ~ v4_rlvect_1(sK530)
| ~ m1_subset_1(X1,u1_struct_0(sK530))
| ~ m1_subset_1(X0,u1_struct_0(sK530)) ),
inference(unflattening,[status(thm)],[c_107117]) ).
tcf(c_107141,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X0)
| m1_subset_1(sK535(X0,X1,X2),u1_struct_0(X0))
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ( X0 != sK530 ) ),
inference(resolution_lifted,[status(thm)],[c_3426,c_3397]) ).
tcf(c_107142,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(sK530)
| m1_subset_1(sK535(sK530,X0,X1),u1_struct_0(sK530))
| ~ v6_rlvect_1(sK530)
| ~ v5_rlvect_1(sK530)
| ~ v4_rlvect_1(sK530)
| ~ m1_subset_1(X1,u1_struct_0(sK530))
| ~ m1_subset_1(X0,u1_struct_0(sK530)) ),
inference(unflattening,[status(thm)],[c_107141]) ).
tcf(c_107165,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X0)
| ( k2_rlvect_1(X0,k5_rlvect_1(X0,X2),k5_rlvect_1(X0,X1)) = k5_rlvect_1(X0,k2_rlvect_1(X0,X1,X2)) )
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ( X0 != sK530 ) ),
inference(resolution_lifted,[status(thm)],[c_3421,c_3397]) ).
tcf(c_107166,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(sK530)
| ( k2_rlvect_1(sK530,k5_rlvect_1(sK530,X1),k5_rlvect_1(sK530,X0)) = k5_rlvect_1(sK530,k2_rlvect_1(sK530,X0,X1)) )
| ~ v6_rlvect_1(sK530)
| ~ v5_rlvect_1(sK530)
| ~ v4_rlvect_1(sK530)
| ~ m1_subset_1(X1,u1_struct_0(sK530))
| ~ m1_subset_1(X0,u1_struct_0(sK530)) ),
inference(unflattening,[status(thm)],[c_107165]) ).
tcf(c_107189,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X0)
| m1_subset_1(k2_rlvect_1(X0,X1,X2),u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ( X0 != sK530 ) ),
inference(resolution_lifted,[status(thm)],[c_3420,c_3397]) ).
tcf(c_107190,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(sK530)
| m1_subset_1(k2_rlvect_1(sK530,X0,X1),u1_struct_0(sK530))
| ~ m1_subset_1(X1,u1_struct_0(sK530))
| ~ m1_subset_1(X0,u1_struct_0(sK530)) ),
inference(unflattening,[status(thm)],[c_107189]) ).
tcf(c_107204,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X0)
| ( k5_rlvect_1(X0,k2_rlvect_1(X0,k5_rlvect_1(X0,X2),k5_rlvect_1(X0,X1))) = k2_rlvect_1(X0,X1,X2) )
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ( X0 != sK530 ) ),
inference(resolution_lifted,[status(thm)],[c_3399,c_3397]) ).
tcf(c_107205,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(sK530)
| ( k5_rlvect_1(sK530,k2_rlvect_1(sK530,k5_rlvect_1(sK530,X1),k5_rlvect_1(sK530,X0))) = k2_rlvect_1(sK530,X0,X1) )
| ~ v6_rlvect_1(sK530)
| ~ v5_rlvect_1(sK530)
| ~ v4_rlvect_1(sK530)
| ~ m1_subset_1(X1,u1_struct_0(sK530))
| ~ m1_subset_1(X0,u1_struct_0(sK530)) ),
inference(unflattening,[status(thm)],[c_107204]) ).
tcf(c_107228,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X0)
| ( k5_rlvect_1(X0,k2_rlvect_1(X0,k5_rlvect_1(X0,X1),X2)) = k2_rlvect_1(X0,k5_rlvect_1(X0,X2),X1) )
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ( X0 != sK530 ) ),
inference(resolution_lifted,[status(thm)],[c_3398,c_3397]) ).
tcf(c_107229,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(sK530)
| ( k5_rlvect_1(sK530,k2_rlvect_1(sK530,k5_rlvect_1(sK530,X0),X1)) = k2_rlvect_1(sK530,k5_rlvect_1(sK530,X1),X0) )
| ~ v6_rlvect_1(sK530)
| ~ v5_rlvect_1(sK530)
| ~ v4_rlvect_1(sK530)
| ~ m1_subset_1(X1,u1_struct_0(sK530))
| ~ m1_subset_1(X0,u1_struct_0(sK530)) ),
inference(unflattening,[status(thm)],[c_107228]) ).
tcf(c_107252,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v3_struct_0(X0)
| ( k1_binop_1(u1_rlvect_1(X0),k1_binop_1(u1_rlvect_1(X0),X1,X2),X3) = k1_binop_1(u1_rlvect_1(X0),X1,k1_binop_1(u1_rlvect_1(X0),X2,X3)) )
| ~ v4_rlvect_1(X0)
| ~ m1_subset_1(X3,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ( X0 != sK530 ) ),
inference(resolution_lifted,[status(thm)],[c_2375,c_3397]) ).
tcf(c_107253,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(sK530)
| ( k1_binop_1(u1_rlvect_1(sK530),k1_binop_1(u1_rlvect_1(sK530),X0,X1),X2) = k1_binop_1(u1_rlvect_1(sK530),X0,k1_binop_1(u1_rlvect_1(sK530),X1,X2)) )
| ~ v4_rlvect_1(sK530)
| ~ m1_subset_1(X2,u1_struct_0(sK530))
| ~ m1_subset_1(X1,u1_struct_0(sK530))
| ~ m1_subset_1(X0,u1_struct_0(sK530)) ),
inference(unflattening,[status(thm)],[c_107252]) ).
tcf(c_107273,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X0)
| ( k1_binop_1(u1_rlvect_1(X0),X1,X2) = k1_binop_1(u1_rlvect_1(X0),X2,X1) )
| ~ v3_rlvect_1(X0)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ( X0 != sK530 ) ),
inference(resolution_lifted,[status(thm)],[c_2370,c_3397]) ).
tcf(c_107274,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(sK530)
| ( k1_binop_1(u1_rlvect_1(sK530),X0,X1) = k1_binop_1(u1_rlvect_1(sK530),X1,X0) )
| ~ v3_rlvect_1(sK530)
| ~ m1_subset_1(X1,u1_struct_0(sK530))
| ~ m1_subset_1(X0,u1_struct_0(sK530)) ),
inference(unflattening,[status(thm)],[c_107273]) ).
tcf(c_107291,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X0)
| ( k8_funct_2(k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0),u1_rlvect_1(X0),k1_domain_1(u1_struct_0(X0),u1_struct_0(X0),X1,X2)) = k2_rlvect_1(X0,X1,X2) )
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ( X0 != sK530 ) ),
inference(resolution_lifted,[status(thm)],[c_2322,c_3397]) ).
tcf(c_107292,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(sK530)
| ( k8_funct_2(k2_zfmisc_1(u1_struct_0(sK530),u1_struct_0(sK530)),u1_struct_0(sK530),u1_rlvect_1(sK530),k1_domain_1(u1_struct_0(sK530),u1_struct_0(sK530),X0,X1)) = k2_rlvect_1(sK530,X0,X1) )
| ~ m1_subset_1(X1,u1_struct_0(sK530))
| ~ m1_subset_1(X0,u1_struct_0(sK530)) ),
inference(unflattening,[status(thm)],[c_107291]) ).
tcf(c_107306,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X2)
| m2_subset_1(sK576(X2,X0,X1),k1_numbers,k5_numbers)
| ( k5_rlvect_1(X2,k9_rlvect_1(X2,X1)) = k9_rlvect_1(X2,X0) )
| ~ v6_rlvect_1(X2)
| ~ v5_rlvect_1(X2)
| ~ v4_rlvect_1(X2)
| ~ v3_rlvect_1(X2)
| ~ m2_finseq_1(X1,u1_struct_0(X2))
| ~ m2_finseq_1(X0,u1_struct_0(X2))
| ( X2 != sK530 )
| ( k3_finseq_1(X0) != k3_finseq_1(X1) ) ),
inference(resolution_lifted,[status(thm)],[c_3792,c_3397]) ).
tcf(c_107307,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(sK530)
| m2_subset_1(sK576(sK530,X0,X1),k1_numbers,k5_numbers)
| ( k5_rlvect_1(sK530,k9_rlvect_1(sK530,X1)) = k9_rlvect_1(sK530,X0) )
| ~ v6_rlvect_1(sK530)
| ~ v5_rlvect_1(sK530)
| ~ v4_rlvect_1(sK530)
| ~ v3_rlvect_1(sK530)
| ~ m2_finseq_1(X1,u1_struct_0(sK530))
| ~ m2_finseq_1(X0,u1_struct_0(sK530))
| ( k3_finseq_1(X0) != k3_finseq_1(X1) ) ),
inference(unflattening,[status(thm)],[c_107306]) ).
tcf(c_107339,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X2)
| m1_subset_1(sK577(X2,X0,X1),u1_struct_0(X2))
| ( k5_rlvect_1(X2,k9_rlvect_1(X2,X1)) = k9_rlvect_1(X2,X0) )
| ~ v6_rlvect_1(X2)
| ~ v5_rlvect_1(X2)
| ~ v4_rlvect_1(X2)
| ~ v3_rlvect_1(X2)
| ~ m2_finseq_1(X1,u1_struct_0(X2))
| ~ m2_finseq_1(X0,u1_struct_0(X2))
| ( X2 != sK530 )
| ( k3_finseq_1(X0) != k3_finseq_1(X1) ) ),
inference(resolution_lifted,[status(thm)],[c_3791,c_3397]) ).
tcf(c_107340,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(sK530)
| m1_subset_1(sK577(sK530,X0,X1),u1_struct_0(sK530))
| ( k5_rlvect_1(sK530,k9_rlvect_1(sK530,X1)) = k9_rlvect_1(sK530,X0) )
| ~ v6_rlvect_1(sK530)
| ~ v5_rlvect_1(sK530)
| ~ v4_rlvect_1(sK530)
| ~ v3_rlvect_1(sK530)
| ~ m2_finseq_1(X1,u1_struct_0(sK530))
| ~ m2_finseq_1(X0,u1_struct_0(sK530))
| ( k3_finseq_1(X0) != k3_finseq_1(X1) ) ),
inference(unflattening,[status(thm)],[c_107339]) ).
tcf(c_107372,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X2)
| ( k5_rlvect_1(X2,k9_rlvect_1(X2,X1)) = k9_rlvect_1(X2,X0) )
| ( k1_funct_1(X1,sK576(X2,X0,X1)) = sK577(X2,X0,X1) )
| ~ v6_rlvect_1(X2)
| ~ v5_rlvect_1(X2)
| ~ v4_rlvect_1(X2)
| ~ v3_rlvect_1(X2)
| ~ m2_finseq_1(X1,u1_struct_0(X2))
| ~ m2_finseq_1(X0,u1_struct_0(X2))
| ( X2 != sK530 )
| ( k3_finseq_1(X0) != k3_finseq_1(X1) ) ),
inference(resolution_lifted,[status(thm)],[c_3790,c_3397]) ).
tcf(c_107373,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(sK530)
| ( k5_rlvect_1(sK530,k9_rlvect_1(sK530,X1)) = k9_rlvect_1(sK530,X0) )
| ( k1_funct_1(X1,sK576(sK530,X0,X1)) = sK577(sK530,X0,X1) )
| ~ v6_rlvect_1(sK530)
| ~ v5_rlvect_1(sK530)
| ~ v4_rlvect_1(sK530)
| ~ v3_rlvect_1(sK530)
| ~ m2_finseq_1(X1,u1_struct_0(sK530))
| ~ m2_finseq_1(X0,u1_struct_0(sK530))
| ( k3_finseq_1(X0) != k3_finseq_1(X1) ) ),
inference(unflattening,[status(thm)],[c_107372]) ).
tcf(c_107405,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X2)
| r2_hidden(sK576(X2,X0,X1),k4_finseq_1(X0))
| ( k5_rlvect_1(X2,k9_rlvect_1(X2,X1)) = k9_rlvect_1(X2,X0) )
| ~ v6_rlvect_1(X2)
| ~ v5_rlvect_1(X2)
| ~ v4_rlvect_1(X2)
| ~ v3_rlvect_1(X2)
| ~ m2_finseq_1(X1,u1_struct_0(X2))
| ~ m2_finseq_1(X0,u1_struct_0(X2))
| ( X2 != sK530 )
| ( k3_finseq_1(X0) != k3_finseq_1(X1) ) ),
inference(resolution_lifted,[status(thm)],[c_3789,c_3397]) ).
tcf(c_107406,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(sK530)
| r2_hidden(sK576(sK530,X0,X1),k4_finseq_1(X0))
| ( k5_rlvect_1(sK530,k9_rlvect_1(sK530,X1)) = k9_rlvect_1(sK530,X0) )
| ~ v6_rlvect_1(sK530)
| ~ v5_rlvect_1(sK530)
| ~ v4_rlvect_1(sK530)
| ~ v3_rlvect_1(sK530)
| ~ m2_finseq_1(X1,u1_struct_0(sK530))
| ~ m2_finseq_1(X0,u1_struct_0(sK530))
| ( k3_finseq_1(X0) != k3_finseq_1(X1) ) ),
inference(unflattening,[status(thm)],[c_107405]) ).
tcf(c_107438,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X2)
| ( k2_rlvect_1(X2,k9_rlvect_1(X2,X1),k1_funct_1(X0,k3_finseq_1(X0))) = k9_rlvect_1(X2,X0) )
| ~ m2_finseq_1(X1,u1_struct_0(X2))
| ~ m2_finseq_1(X0,u1_struct_0(X2))
| ~ m1_subset_1(k1_funct_1(X0,k3_finseq_1(X0)),u1_struct_0(X2))
| ( X2 != sK530 )
| ( k1_nat_1(k3_finseq_1(X1),np__1) != k3_finseq_1(X0) )
| ( k7_relat_1(X0,k4_finseq_1(X1)) != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_3708,c_3397]) ).
tcf(c_107439,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(sK530)
| ( k2_rlvect_1(sK530,k9_rlvect_1(sK530,X1),k1_funct_1(X0,k3_finseq_1(X0))) = k9_rlvect_1(sK530,X0) )
| ~ m2_finseq_1(X1,u1_struct_0(sK530))
| ~ m2_finseq_1(X0,u1_struct_0(sK530))
| ~ m1_subset_1(k1_funct_1(X0,k3_finseq_1(X0)),u1_struct_0(sK530))
| ( k1_nat_1(k3_finseq_1(X1),np__1) != k3_finseq_1(X0) )
| ( k7_relat_1(X0,k4_finseq_1(X1)) != X1 ) ),
inference(unflattening,[status(thm)],[c_107438]) ).
tcf(c_107462,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X0)
| m1_subset_1(k1_funct_1(X2,X1),u1_struct_0(X0))
| ~ m2_subset_1(X1,k1_numbers,k5_numbers)
| ~ m2_finseq_1(X2,u1_struct_0(X0))
| ~ m2_subset_1(k3_finseq_1(X2),k1_numbers,k5_numbers)
| ~ r2_hidden(X1,k2_finseq_1(k3_finseq_1(X2)))
| ( X0 != sK530 ) ),
inference(resolution_lifted,[status(thm)],[c_2779,c_3397]) ).
tcf(c_107463,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(sK530)
| m1_subset_1(k1_funct_1(X1,X0),u1_struct_0(sK530))
| ~ m2_finseq_1(X1,u1_struct_0(sK530))
| ~ m2_subset_1(X0,k1_numbers,k5_numbers)
| ~ m2_subset_1(k3_finseq_1(X1),k1_numbers,k5_numbers)
| ~ r2_hidden(X0,k2_finseq_1(k3_finseq_1(X1))) ),
inference(unflattening,[status(thm)],[c_107462]) ).
tcf(c_110378,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(sK530)
| ( k5_rlvect_1(X0,X1) = X2 )
| ~ sP31(sK530)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ( X0 != sK530 )
| ( k2_rlvect_1(X0,X1,X2) != k1_rlvect_1(X0) ) ),
inference(resolution_lifted,[status(thm)],[c_105777,c_106726]) ).
tcf(c_110379,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(sK530)
| ( k5_rlvect_1(sK530,X0) = X1 )
| ~ sP31(sK530)
| ~ m1_subset_1(X1,u1_struct_0(sK530))
| ~ m1_subset_1(X0,u1_struct_0(sK530))
| ( k2_rlvect_1(sK530,X0,X1) != k1_rlvect_1(sK530) ) ),
inference(unflattening,[status(thm)],[c_110378]) ).
tcf(c_110404,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(sK530)
| ( k1_rlvect_1(X0) = X2 )
| ~ sP31(sK530)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ( X0 != sK530 )
| ( k2_rlvect_1(X0,X1,X2) != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_105754,c_106726]) ).
tcf(c_110405,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(sK530)
| ( k1_rlvect_1(sK530) = X1 )
| ~ sP31(sK530)
| ~ m1_subset_1(X1,u1_struct_0(sK530))
| ~ m1_subset_1(X0,u1_struct_0(sK530))
| ( k2_rlvect_1(sK530,X0,X1) != X0 ) ),
inference(unflattening,[status(thm)],[c_110404]) ).
tcf(c_110429,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(sK530)
| ( k1_rlvect_1(X0) = X1 )
| ~ sP31(sK530)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ( X0 != sK530 )
| ( k2_rlvect_1(X0,X1,X2) != X2 ) ),
inference(resolution_lifted,[status(thm)],[c_105734,c_106726]) ).
tcf(c_110430,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(sK530)
| ( k1_rlvect_1(sK530) = X0 )
| ~ sP31(sK530)
| ~ m1_subset_1(X1,u1_struct_0(sK530))
| ~ m1_subset_1(X0,u1_struct_0(sK530))
| ( k2_rlvect_1(sK530,X0,X1) != X1 ) ),
inference(unflattening,[status(thm)],[c_110429]) ).
tcf(c_110454,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( v3_struct_0(sK530)
| ( X2 = X3 )
| ~ sP31(sK530)
| ~ m1_subset_1(X4,u1_struct_0(X0))
| ~ m1_subset_1(X3,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ( X0 != sK530 )
| ( k2_rlvect_1(X0,X1,X2) != k2_rlvect_1(X0,X1,X3) ) ),
inference(resolution_lifted,[status(thm)],[c_105708,c_106726]) ).
tcf(c_110455,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v3_struct_0(sK530)
| ( X1 = X2 )
| ~ sP31(sK530)
| ~ m1_subset_1(X3,u1_struct_0(sK530))
| ~ m1_subset_1(X2,u1_struct_0(sK530))
| ~ m1_subset_1(X1,u1_struct_0(sK530))
| ~ m1_subset_1(X0,u1_struct_0(sK530))
| ( k2_rlvect_1(sK530,X0,X1) != k2_rlvect_1(sK530,X0,X2) ) ),
inference(unflattening,[status(thm)],[c_110454]) ).
tcf(c_110485,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( v3_struct_0(sK530)
| ( X1 = X3 )
| ~ sP31(sK530)
| ~ m1_subset_1(X4,u1_struct_0(X0))
| ~ m1_subset_1(X3,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ( X0 != sK530 )
| ( k2_rlvect_1(X0,X1,X2) != k2_rlvect_1(X0,X3,X2) ) ),
inference(resolution_lifted,[status(thm)],[c_105682,c_106726]) ).
tcf(c_110486,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v3_struct_0(sK530)
| ( X0 = X2 )
| ~ sP31(sK530)
| ~ m1_subset_1(X3,u1_struct_0(sK530))
| ~ m1_subset_1(X2,u1_struct_0(sK530))
| ~ m1_subset_1(X1,u1_struct_0(sK530))
| ~ m1_subset_1(X0,u1_struct_0(sK530))
| ( k2_rlvect_1(sK530,X0,X1) != k2_rlvect_1(sK530,X2,X1) ) ),
inference(unflattening,[status(thm)],[c_110485]) ).
tcf(c_110515,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(sK530)
| ( k5_rlvect_1(X0,X2) = X1 )
| ~ sP31(sK530)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ( X0 != sK530 )
| ( k2_rlvect_1(X0,X1,X2) != k1_rlvect_1(X0) ) ),
inference(resolution_lifted,[status(thm)],[c_105661,c_106726]) ).
tcf(c_110516,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(sK530)
| ( k5_rlvect_1(sK530,X1) = X0 )
| ~ sP31(sK530)
| ~ m1_subset_1(X1,u1_struct_0(sK530))
| ~ m1_subset_1(X0,u1_struct_0(sK530))
| ( k2_rlvect_1(sK530,X0,X1) != k1_rlvect_1(sK530) ) ),
inference(unflattening,[status(thm)],[c_110515]) ).
tcf(c_110547,plain,
! [X0: $i] :
( v3_struct_0(sK530)
| sP31(X0)
| ~ v6_rlvect_1(sK530)
| ~ v5_rlvect_1(sK530)
| ~ v4_rlvect_1(sK530)
| ~ v3_rlvect_1(sK530)
| ( X0 != sK530 ) ),
inference(resolution_lifted,[status(thm)],[c_8352,c_106737]) ).
tcf(c_110548,plain,
( sP31(sK530)
| v3_struct_0(sK530)
| ~ v6_rlvect_1(sK530)
| ~ v5_rlvect_1(sK530)
| ~ v4_rlvect_1(sK530)
| ~ v3_rlvect_1(sK530) ),
inference(unflattening,[status(thm)],[c_110547]) ).
tcf(c_110571,plain,
! [X0: $i] :
( v3_struct_0(sK530)
| v6_rlvect_1(X0)
| ~ sP31(sK530)
| ( X0 != sK530 ) ),
inference(resolution_lifted,[status(thm)],[c_8339,c_106726]) ).
tcf(c_110572,plain,
( v6_rlvect_1(sK530)
| v3_struct_0(sK530)
| ~ sP31(sK530) ),
inference(unflattening,[status(thm)],[c_110571]) ).
tcf(c_110584,plain,
! [X0: $i] :
( v3_struct_0(sK530)
| v5_rlvect_1(X0)
| ~ sP31(sK530)
| ( X0 != sK530 ) ),
inference(resolution_lifted,[status(thm)],[c_8337,c_106726]) ).
tcf(c_110585,plain,
( v5_rlvect_1(sK530)
| v3_struct_0(sK530)
| ~ sP31(sK530) ),
inference(unflattening,[status(thm)],[c_110584]) ).
tcf(c_110597,plain,
! [X0: $i] :
( v3_struct_0(sK530)
| v4_rlvect_1(X0)
| ~ sP31(sK530)
| ( X0 != sK530 ) ),
inference(resolution_lifted,[status(thm)],[c_8171,c_106726]) ).
tcf(c_110598,plain,
( v4_rlvect_1(sK530)
| v3_struct_0(sK530)
| ~ sP31(sK530) ),
inference(unflattening,[status(thm)],[c_110597]) ).
tcf(c_110610,plain,
! [X0: $i] :
( v3_struct_0(sK530)
| v3_rlvect_1(X0)
| ~ sP31(sK530)
| ( X0 != sK530 ) ),
inference(resolution_lifted,[status(thm)],[c_8169,c_106726]) ).
tcf(c_110611,plain,
( v3_rlvect_1(sK530)
| v3_struct_0(sK530)
| ~ sP31(sK530) ),
inference(unflattening,[status(thm)],[c_110610]) ).
tcf(c_110640,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v3_struct_0(sK530)
| ( k1_binop_1(u1_rlvect_1(X0),k1_binop_1(u1_rlvect_1(X0),X1,X2),X3) = k1_binop_1(u1_rlvect_1(X0),X1,k1_binop_1(u1_rlvect_1(X0),X2,X3)) )
| ~ sP31(sK530)
| ~ m1_subset_1(X3,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ( X0 != sK530 ) ),
inference(resolution_lifted,[status(thm)],[c_106252,c_106726]) ).
tcf(c_110641,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(sK530)
| ( k1_binop_1(u1_rlvect_1(sK530),k1_binop_1(u1_rlvect_1(sK530),X0,X1),X2) = k1_binop_1(u1_rlvect_1(sK530),X0,k1_binop_1(u1_rlvect_1(sK530),X1,X2)) )
| ~ sP31(sK530)
| ~ m1_subset_1(X2,u1_struct_0(sK530))
| ~ m1_subset_1(X1,u1_struct_0(sK530))
| ~ m1_subset_1(X0,u1_struct_0(sK530)) ),
inference(unflattening,[status(thm)],[c_110640]) ).
tcf(c_110666,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(sK530)
| ( k5_rlvect_1(X0,k2_rlvect_1(X0,k5_rlvect_1(X0,X1),X2)) = k2_rlvect_1(X0,k5_rlvect_1(X0,X2),X1) )
| ~ sP31(sK530)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ( X0 != sK530 ) ),
inference(resolution_lifted,[status(thm)],[c_106229,c_106726]) ).
tcf(c_110667,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(sK530)
| ( k5_rlvect_1(sK530,k2_rlvect_1(sK530,k5_rlvect_1(sK530,X0),X1)) = k2_rlvect_1(sK530,k5_rlvect_1(sK530,X1),X0) )
| ~ sP31(sK530)
| ~ m1_subset_1(X1,u1_struct_0(sK530))
| ~ m1_subset_1(X0,u1_struct_0(sK530)) ),
inference(unflattening,[status(thm)],[c_110666]) ).
tcf(c_110689,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(sK530)
| ( k5_rlvect_1(X0,k2_rlvect_1(X0,k5_rlvect_1(X0,X2),k5_rlvect_1(X0,X1))) = k2_rlvect_1(X0,X1,X2) )
| ~ sP31(sK530)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ( X0 != sK530 ) ),
inference(resolution_lifted,[status(thm)],[c_106204,c_106726]) ).
tcf(c_110690,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(sK530)
| ( k5_rlvect_1(sK530,k2_rlvect_1(sK530,k5_rlvect_1(sK530,X1),k5_rlvect_1(sK530,X0))) = k2_rlvect_1(sK530,X0,X1) )
| ~ sP31(sK530)
| ~ m1_subset_1(X1,u1_struct_0(sK530))
| ~ m1_subset_1(X0,u1_struct_0(sK530)) ),
inference(unflattening,[status(thm)],[c_110689]) ).
tcf(c_110722,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(sK530)
| ( k2_rlvect_1(X0,k5_rlvect_1(X0,X2),k5_rlvect_1(X0,X1)) = k5_rlvect_1(X0,k2_rlvect_1(X0,X1,X2)) )
| ~ sP31(sK530)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ( X0 != sK530 ) ),
inference(resolution_lifted,[status(thm)],[c_106160,c_106726]) ).
tcf(c_110723,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(sK530)
| ( k2_rlvect_1(sK530,k5_rlvect_1(sK530,X1),k5_rlvect_1(sK530,X0)) = k5_rlvect_1(sK530,k2_rlvect_1(sK530,X0,X1)) )
| ~ sP31(sK530)
| ~ m1_subset_1(X1,u1_struct_0(sK530))
| ~ m1_subset_1(X0,u1_struct_0(sK530)) ),
inference(unflattening,[status(thm)],[c_110722]) ).
tcf(c_110745,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(sK530)
| m1_subset_1(sK535(X0,X1,X2),u1_struct_0(X0))
| ~ sP31(sK530)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ( X0 != sK530 ) ),
inference(resolution_lifted,[status(thm)],[c_106135,c_106726]) ).
tcf(c_110746,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(sK530)
| m1_subset_1(sK535(sK530,X0,X1),u1_struct_0(sK530))
| ~ sP31(sK530)
| ~ m1_subset_1(X1,u1_struct_0(sK530))
| ~ m1_subset_1(X0,u1_struct_0(sK530)) ),
inference(unflattening,[status(thm)],[c_110745]) ).
tcf(c_110768,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(sK530)
| ( k2_rlvect_1(X0,X1,sK535(X0,X1,X2)) = X2 )
| ~ sP31(sK530)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ( X0 != sK530 ) ),
inference(resolution_lifted,[status(thm)],[c_106110,c_106726]) ).
tcf(c_110769,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(sK530)
| ( k2_rlvect_1(sK530,X0,sK535(sK530,X0,X1)) = X1 )
| ~ sP31(sK530)
| ~ m1_subset_1(X1,u1_struct_0(sK530))
| ~ m1_subset_1(X0,u1_struct_0(sK530)) ),
inference(unflattening,[status(thm)],[c_110768]) ).
tcf(c_110791,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(sK530)
| ( k2_rlvect_1(X0,X1,k5_rlvect_1(X0,X1)) = k1_rlvect_1(X0) )
| ~ sP31(sK530)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ( X0 != sK530 ) ),
inference(resolution_lifted,[status(thm)],[c_106086,c_106726]) ).
tcf(c_110792,plain,
! [X0: $i] :
( v3_struct_0(sK530)
| ( k2_rlvect_1(sK530,X0,k5_rlvect_1(sK530,X0)) = k1_rlvect_1(sK530) )
| ~ sP31(sK530)
| ~ m1_subset_1(X0,u1_struct_0(sK530)) ),
inference(unflattening,[status(thm)],[c_110791]) ).
tcf(c_110811,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(sK530)
| ( k2_rlvect_1(X0,k5_rlvect_1(X0,X1),X1) = k1_rlvect_1(X0) )
| ~ sP31(sK530)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ( X0 != sK530 ) ),
inference(resolution_lifted,[status(thm)],[c_106064,c_106726]) ).
tcf(c_110812,plain,
! [X0: $i] :
( v3_struct_0(sK530)
| ( k2_rlvect_1(sK530,k5_rlvect_1(sK530,X0),X0) = k1_rlvect_1(sK530) )
| ~ sP31(sK530)
| ~ m1_subset_1(X0,u1_struct_0(sK530)) ),
inference(unflattening,[status(thm)],[c_110811]) ).
tcf(c_110831,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(sK530)
| ( k2_rlvect_1(X0,k1_rlvect_1(X0),X1) = X1 )
| ~ sP31(sK530)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ( X0 != sK530 ) ),
inference(resolution_lifted,[status(thm)],[c_106042,c_106726]) ).
tcf(c_110832,plain,
! [X0: $i] :
( v3_struct_0(sK530)
| ( k2_rlvect_1(sK530,k1_rlvect_1(sK530),X0) = X0 )
| ~ sP31(sK530)
| ~ m1_subset_1(X0,u1_struct_0(sK530)) ),
inference(unflattening,[status(thm)],[c_110831]) ).
tcf(c_110851,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(sK530)
| m1_subset_1(sK537(X0,X1),u1_struct_0(X0))
| ~ sP31(sK530)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ( X0 != sK530 ) ),
inference(resolution_lifted,[status(thm)],[c_106020,c_106726]) ).
tcf(c_110852,plain,
! [X0: $i] :
( v3_struct_0(sK530)
| m1_subset_1(sK537(sK530,X0),u1_struct_0(sK530))
| ~ sP31(sK530)
| ~ m1_subset_1(X0,u1_struct_0(sK530)) ),
inference(unflattening,[status(thm)],[c_110851]) ).
tcf(c_110871,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(sK530)
| ( k2_rlvect_1(X0,X1,sK537(X0,X1)) = k1_rlvect_1(X0) )
| ~ sP31(sK530)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ( X0 != sK530 ) ),
inference(resolution_lifted,[status(thm)],[c_106002,c_106726]) ).
tcf(c_110872,plain,
! [X0: $i] :
( v3_struct_0(sK530)
| ( k2_rlvect_1(sK530,X0,sK537(sK530,X0)) = k1_rlvect_1(sK530) )
| ~ sP31(sK530)
| ~ m1_subset_1(X0,u1_struct_0(sK530)) ),
inference(unflattening,[status(thm)],[c_110871]) ).
tcf(c_110891,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(sK530)
| ( k2_rlvect_1(X0,X1,k1_rlvect_1(X0)) = X1 )
| ~ sP31(sK530)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ( X0 != sK530 ) ),
inference(resolution_lifted,[status(thm)],[c_105985,c_106726]) ).
tcf(c_110892,plain,
! [X0: $i] :
( v3_struct_0(sK530)
| ( k2_rlvect_1(sK530,X0,k1_rlvect_1(sK530)) = X0 )
| ~ sP31(sK530)
| ~ m1_subset_1(X0,u1_struct_0(sK530)) ),
inference(unflattening,[status(thm)],[c_110891]) ).
tcf(c_110929,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(sK530)
| ( k9_rlvect_1(X1,X0) = k1_funct_1(X0,np__1) )
| ~ sP31(sK530)
| ~ m2_finseq_1(X0,u1_struct_0(X1))
| ( X1 != sK530 )
| ( k3_finseq_1(X0) != np__1 ) ),
inference(resolution_lifted,[status(thm)],[c_105907,c_106726]) ).
tcf(c_110930,plain,
! [X0: $i] :
( v3_struct_0(sK530)
| ( k9_rlvect_1(sK530,X0) = k1_funct_1(X0,np__1) )
| ~ sP31(sK530)
| ~ m2_finseq_1(X0,u1_struct_0(sK530))
| ( k3_finseq_1(X0) != np__1 ) ),
inference(unflattening,[status(thm)],[c_110929]) ).
tcf(c_110952,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(sK530)
| ( k9_rlvect_1(X1,X0) = k1_rlvect_1(X1) )
| ~ sP31(sK530)
| ~ m2_finseq_1(X0,u1_struct_0(X1))
| ( X1 != sK530 )
| ( k3_finseq_1(X0) != np__0 ) ),
inference(resolution_lifted,[status(thm)],[c_105882,c_106726]) ).
tcf(c_110953,plain,
! [X0: $i] :
( v3_struct_0(sK530)
| ( k9_rlvect_1(sK530,X0) = k1_rlvect_1(sK530) )
| ~ sP31(sK530)
| ~ m2_finseq_1(X0,u1_struct_0(sK530))
| ( k3_finseq_1(X0) != np__0 ) ),
inference(unflattening,[status(thm)],[c_110952]) ).
tcf(c_110985,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(sK530)
| ( k1_binop_1(u1_rlvect_1(X0),X1,X2) = k1_binop_1(u1_rlvect_1(X0),X2,X1) )
| ~ sP31(sK530)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ( X0 != sK530 ) ),
inference(resolution_lifted,[status(thm)],[c_106263,c_106726]) ).
tcf(c_110986,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(sK530)
| ( k1_binop_1(u1_rlvect_1(sK530),X0,X1) = k1_binop_1(u1_rlvect_1(sK530),X1,X0) )
| ~ sP31(sK530)
| ~ m1_subset_1(X1,u1_struct_0(sK530))
| ~ m1_subset_1(X0,u1_struct_0(sK530)) ),
inference(unflattening,[status(thm)],[c_110985]) ).
tcf(c_111008,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(sK530)
| ( k2_rlvect_1(X0,X1,X2) = k2_rlvect_1(X0,X2,X1) )
| ~ sP31(sK530)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ( X0 != sK530 ) ),
inference(resolution_lifted,[status(thm)],[c_105936,c_106726]) ).
tcf(c_111009,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(sK530)
| ( k2_rlvect_1(sK530,X0,X1) = k2_rlvect_1(sK530,X1,X0) )
| ~ sP31(sK530)
| ~ m1_subset_1(X1,u1_struct_0(sK530))
| ~ m1_subset_1(X0,u1_struct_0(sK530)) ),
inference(unflattening,[status(thm)],[c_111008]) ).
tcf(c_111028,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(sK530)
| ( k5_rlvect_1(X1,k9_rlvect_1(X1,X2)) = k9_rlvect_1(X1,X0) )
| ~ sP31(sK530)
| ~ m2_finseq_1(X2,u1_struct_0(X1))
| ~ m2_finseq_1(X0,u1_struct_0(X1))
| ( X1 != sK530 )
| ( k3_finseq_1(X0) != k3_finseq_1(X2) )
| ( k1_funct_1(X0,sK576(X1,X0,X2)) != k5_rlvect_1(X1,sK577(X1,X0,X2)) ) ),
inference(resolution_lifted,[status(thm)],[c_105825,c_106726]) ).
tcf(c_111029,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(sK530)
| ( k5_rlvect_1(sK530,k9_rlvect_1(sK530,X1)) = k9_rlvect_1(sK530,X0) )
| ~ sP31(sK530)
| ~ m2_finseq_1(X1,u1_struct_0(sK530))
| ~ m2_finseq_1(X0,u1_struct_0(sK530))
| ( k3_finseq_1(X0) != k3_finseq_1(X1) )
| ( k1_funct_1(X0,sK576(sK530,X0,X1)) != k5_rlvect_1(sK530,sK577(sK530,X0,X1)) ) ),
inference(unflattening,[status(thm)],[c_111028]) ).
tcf(c_111074,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(sK530)
| r2_hidden(sK576(X2,X0,X1),k4_finseq_1(X0))
| ( k5_rlvect_1(X2,k9_rlvect_1(X2,X1)) = k9_rlvect_1(X2,X0) )
| ~ sP31(sK530)
| ~ m2_finseq_1(X1,u1_struct_0(X2))
| ~ m2_finseq_1(X0,u1_struct_0(X2))
| ( X2 != sK530 )
| ( k3_finseq_1(X0) != k3_finseq_1(X1) ) ),
inference(resolution_lifted,[status(thm)],[c_106368,c_106726]) ).
tcf(c_111075,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(sK530)
| r2_hidden(sK576(sK530,X0,X1),k4_finseq_1(X0))
| ( k5_rlvect_1(sK530,k9_rlvect_1(sK530,X1)) = k9_rlvect_1(sK530,X0) )
| ~ sP31(sK530)
| ~ m2_finseq_1(X1,u1_struct_0(sK530))
| ~ m2_finseq_1(X0,u1_struct_0(sK530))
| ( k3_finseq_1(X0) != k3_finseq_1(X1) ) ),
inference(unflattening,[status(thm)],[c_111074]) ).
tcf(c_111100,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(sK530)
| ( k5_rlvect_1(X2,k9_rlvect_1(X2,X1)) = k9_rlvect_1(X2,X0) )
| ( k1_funct_1(X1,sK576(X2,X0,X1)) = sK577(X2,X0,X1) )
| ~ sP31(sK530)
| ~ m2_finseq_1(X1,u1_struct_0(X2))
| ~ m2_finseq_1(X0,u1_struct_0(X2))
| ( X2 != sK530 )
| ( k3_finseq_1(X0) != k3_finseq_1(X1) ) ),
inference(resolution_lifted,[status(thm)],[c_106345,c_106726]) ).
tcf(c_111101,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(sK530)
| ( k5_rlvect_1(sK530,k9_rlvect_1(sK530,X1)) = k9_rlvect_1(sK530,X0) )
| ( k1_funct_1(X1,sK576(sK530,X0,X1)) = sK577(sK530,X0,X1) )
| ~ sP31(sK530)
| ~ m2_finseq_1(X1,u1_struct_0(sK530))
| ~ m2_finseq_1(X0,u1_struct_0(sK530))
| ( k3_finseq_1(X0) != k3_finseq_1(X1) ) ),
inference(unflattening,[status(thm)],[c_111100]) ).
tcf(c_111126,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(sK530)
| m1_subset_1(sK577(X2,X0,X1),u1_struct_0(X2))
| ( k5_rlvect_1(X2,k9_rlvect_1(X2,X1)) = k9_rlvect_1(X2,X0) )
| ~ sP31(sK530)
| ~ m2_finseq_1(X1,u1_struct_0(X2))
| ~ m2_finseq_1(X0,u1_struct_0(X2))
| ( X2 != sK530 )
| ( k3_finseq_1(X0) != k3_finseq_1(X1) ) ),
inference(resolution_lifted,[status(thm)],[c_106322,c_106726]) ).
tcf(c_111127,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(sK530)
| m1_subset_1(sK577(sK530,X0,X1),u1_struct_0(sK530))
| ( k5_rlvect_1(sK530,k9_rlvect_1(sK530,X1)) = k9_rlvect_1(sK530,X0) )
| ~ sP31(sK530)
| ~ m2_finseq_1(X1,u1_struct_0(sK530))
| ~ m2_finseq_1(X0,u1_struct_0(sK530))
| ( k3_finseq_1(X0) != k3_finseq_1(X1) ) ),
inference(unflattening,[status(thm)],[c_111126]) ).
tcf(c_111152,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(sK530)
| m2_subset_1(sK576(X2,X0,X1),k1_numbers,k5_numbers)
| ( k5_rlvect_1(X2,k9_rlvect_1(X2,X1)) = k9_rlvect_1(X2,X0) )
| ~ sP31(sK530)
| ~ m2_finseq_1(X1,u1_struct_0(X2))
| ~ m2_finseq_1(X0,u1_struct_0(X2))
| ( X2 != sK530 )
| ( k3_finseq_1(X0) != k3_finseq_1(X1) ) ),
inference(resolution_lifted,[status(thm)],[c_106299,c_106726]) ).
tcf(c_111153,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(sK530)
| m2_subset_1(sK576(sK530,X0,X1),k1_numbers,k5_numbers)
| ( k5_rlvect_1(sK530,k9_rlvect_1(sK530,X1)) = k9_rlvect_1(sK530,X0) )
| ~ sP31(sK530)
| ~ m2_finseq_1(X1,u1_struct_0(sK530))
| ~ m2_finseq_1(X0,u1_struct_0(sK530))
| ( k3_finseq_1(X0) != k3_finseq_1(X1) ) ),
inference(unflattening,[status(thm)],[c_111152]) ).
tcf(c_111344,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( v3_struct_0(sK530)
| ( k9_rlvect_1(X0,X3) = X1 )
| ~ m2_finseq_1(X4,u1_struct_0(sK530))
| ~ m1_subset_1(X2,u1_struct_0(sK530))
| ~ sP34(X0,X1,X3)
| ( X3 != X4 )
| ( X1 != X2 )
| ( X0 != sK530 ) ),
inference(resolution_lifted,[status(thm)],[c_3709,c_106893]) ).
tcf(c_111345,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(sK530)
| ( k9_rlvect_1(sK530,X1) = X0 )
| ~ m2_finseq_1(X1,u1_struct_0(sK530))
| ~ m1_subset_1(X0,u1_struct_0(sK530))
| ~ sP34(sK530,X0,X1) ),
inference(unflattening,[status(thm)],[c_111344]) ).
tcf(c_111361,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v3_struct_0(sK530)
| sP34(X0,k9_rlvect_1(X0,X1),X1)
| ~ m2_finseq_1(X3,u1_struct_0(sK530))
| ~ m1_subset_1(X2,u1_struct_0(sK530))
| ( X1 != X3 )
| ( X0 != sK530 )
| ( k9_rlvect_1(X0,X1) != X2 ) ),
inference(resolution_lifted,[status(thm)],[c_8414,c_106893]) ).
tcf(c_111362,plain,
! [X0: $i] :
( v3_struct_0(sK530)
| sP34(sK530,k9_rlvect_1(sK530,X0),X0)
| ~ m2_finseq_1(X0,u1_struct_0(sK530))
| ~ m1_subset_1(k9_rlvect_1(sK530,X0),u1_struct_0(sK530)) ),
inference(unflattening,[status(thm)],[c_111361]) ).
tcf(c_119975,plain,
! [X0: $i,X1: $i] :
( ~ iPr_def_10
| ( k3_finseq_1(X0) != k3_finseq_1(X1) )
| ( k5_rlvect_1(sK530,k9_rlvect_1(sK530,X1)) = k9_rlvect_1(sK530,X0) )
| ~ m2_finseq_1(X1,u1_struct_0(sK530))
| ~ m2_finseq_1(X0,u1_struct_0(sK530))
| m2_subset_1(sK576(sK530,X0,X1),k1_numbers,k5_numbers) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_10])],[c_111153]) ).
tcf(c_119976,plain,
( iPr_def_10
| v3_struct_0(sK530)
| ~ sP31(sK530) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_111153]) ).
tcf(c_119977,plain,
! [X0: $i,X1: $i] :
( ~ iPr_def_11
| ( k3_finseq_1(X0) != k3_finseq_1(X1) )
| ( k5_rlvect_1(sK530,k9_rlvect_1(sK530,X1)) = k9_rlvect_1(sK530,X0) )
| m1_subset_1(sK577(sK530,X0,X1),u1_struct_0(sK530))
| ~ m2_finseq_1(X1,u1_struct_0(sK530))
| ~ m2_finseq_1(X0,u1_struct_0(sK530)) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_11])],[c_111127]) ).
tcf(c_119978,plain,
( iPr_def_11
| v3_struct_0(sK530)
| ~ sP31(sK530) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_111127]) ).
tcf(c_119979,plain,
! [X0: $i,X1: $i] :
( ~ iPr_def_12
| ( k3_finseq_1(X0) != k3_finseq_1(X1) )
| ( k1_funct_1(X1,sK576(sK530,X0,X1)) = sK577(sK530,X0,X1) )
| ( k5_rlvect_1(sK530,k9_rlvect_1(sK530,X1)) = k9_rlvect_1(sK530,X0) )
| ~ m2_finseq_1(X1,u1_struct_0(sK530))
| ~ m2_finseq_1(X0,u1_struct_0(sK530)) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_12])],[c_111101]) ).
tcf(c_119980,plain,
( iPr_def_12
| v3_struct_0(sK530)
| ~ sP31(sK530) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_111101]) ).
tcf(c_119981,plain,
! [X0: $i,X1: $i] :
( ~ iPr_def_13
| ( k3_finseq_1(X0) != k3_finseq_1(X1) )
| ( k5_rlvect_1(sK530,k9_rlvect_1(sK530,X1)) = k9_rlvect_1(sK530,X0) )
| r2_hidden(sK576(sK530,X0,X1),k4_finseq_1(X0))
| ~ m2_finseq_1(X1,u1_struct_0(sK530))
| ~ m2_finseq_1(X0,u1_struct_0(sK530)) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_13])],[c_111075]) ).
tcf(c_119982,plain,
( iPr_def_13
| v3_struct_0(sK530)
| ~ sP31(sK530) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_111075]) ).
tcf(c_119983,plain,
! [X0: $i,X1: $i] :
( ~ iPr_def_14
| ( k3_finseq_1(X0) != k3_finseq_1(X1) )
| ( k1_funct_1(X0,sK576(sK530,X0,X1)) != k5_rlvect_1(sK530,sK577(sK530,X0,X1)) )
| ( k5_rlvect_1(sK530,k9_rlvect_1(sK530,X1)) = k9_rlvect_1(sK530,X0) )
| ~ m2_finseq_1(X1,u1_struct_0(sK530))
| ~ m2_finseq_1(X0,u1_struct_0(sK530)) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_14])],[c_111029]) ).
tcf(c_119984,plain,
( iPr_def_14
| v3_struct_0(sK530)
| ~ sP31(sK530) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_111029]) ).
tcf(c_119985,plain,
! [X0: $i,X1: $i] :
( ~ iPr_def_15
| ( k2_rlvect_1(sK530,X1,X0) = k2_rlvect_1(sK530,X0,X1) )
| ~ m1_subset_1(X1,u1_struct_0(sK530))
| ~ m1_subset_1(X0,u1_struct_0(sK530)) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_15])],[c_111009]) ).
tcf(c_119986,plain,
( iPr_def_15
| v3_struct_0(sK530)
| ~ sP31(sK530) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_111009]) ).
tcf(c_119987,plain,
! [X0: $i,X1: $i] :
( ~ iPr_def_16
| ( k1_binop_1(u1_rlvect_1(sK530),X1,X0) = k1_binop_1(u1_rlvect_1(sK530),X0,X1) )
| ~ m1_subset_1(X1,u1_struct_0(sK530))
| ~ m1_subset_1(X0,u1_struct_0(sK530)) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_16])],[c_110986]) ).
tcf(c_119988,plain,
( iPr_def_16
| v3_struct_0(sK530)
| ~ sP31(sK530) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_110986]) ).
tcf(c_119989,plain,
! [X0: $i] :
( ~ iPr_def_17
| ( k3_finseq_1(X0) != np__0 )
| ( k9_rlvect_1(sK530,X0) = k1_rlvect_1(sK530) )
| ~ m2_finseq_1(X0,u1_struct_0(sK530)) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_17])],[c_110953]) ).
tcf(c_119990,plain,
( iPr_def_17
| v3_struct_0(sK530)
| ~ sP31(sK530) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_110953]) ).
tcf(c_119991,plain,
! [X0: $i] :
( ~ iPr_def_18
| ( k3_finseq_1(X0) != np__1 )
| ( k9_rlvect_1(sK530,X0) = k1_funct_1(X0,np__1) )
| ~ m2_finseq_1(X0,u1_struct_0(sK530)) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_18])],[c_110930]) ).
tcf(c_119992,plain,
( iPr_def_18
| v3_struct_0(sK530)
| ~ sP31(sK530) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_110930]) ).
tcf(c_119993,plain,
! [X0: $i] :
( ~ iPr_def_19
| ( k2_rlvect_1(sK530,X0,k1_rlvect_1(sK530)) = X0 )
| ~ m1_subset_1(X0,u1_struct_0(sK530)) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_19])],[c_110892]) ).
tcf(c_119994,plain,
( iPr_def_19
| v3_struct_0(sK530)
| ~ sP31(sK530) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_110892]) ).
tcf(c_119995,plain,
! [X0: $i] :
( ~ iPr_def_20
| ( k2_rlvect_1(sK530,X0,sK537(sK530,X0)) = k1_rlvect_1(sK530) )
| ~ m1_subset_1(X0,u1_struct_0(sK530)) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_20])],[c_110872]) ).
tcf(c_119996,plain,
( iPr_def_20
| v3_struct_0(sK530)
| ~ sP31(sK530) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_110872]) ).
tcf(c_119997,plain,
! [X0: $i] :
( ~ iPr_def_21
| m1_subset_1(sK537(sK530,X0),u1_struct_0(sK530))
| ~ m1_subset_1(X0,u1_struct_0(sK530)) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_21])],[c_110852]) ).
tcf(c_119998,plain,
( iPr_def_21
| v3_struct_0(sK530)
| ~ sP31(sK530) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_110852]) ).
tcf(c_119999,plain,
! [X0: $i] :
( ~ iPr_def_22
| ( k2_rlvect_1(sK530,k1_rlvect_1(sK530),X0) = X0 )
| ~ m1_subset_1(X0,u1_struct_0(sK530)) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_22])],[c_110832]) ).
tcf(c_120000,plain,
( iPr_def_22
| v3_struct_0(sK530)
| ~ sP31(sK530) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_110832]) ).
tcf(c_120001,plain,
! [X0: $i] :
( ~ iPr_def_23
| ( k2_rlvect_1(sK530,k5_rlvect_1(sK530,X0),X0) = k1_rlvect_1(sK530) )
| ~ m1_subset_1(X0,u1_struct_0(sK530)) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_23])],[c_110812]) ).
tcf(c_120002,plain,
( iPr_def_23
| v3_struct_0(sK530)
| ~ sP31(sK530) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_110812]) ).
tcf(c_120003,plain,
! [X0: $i] :
( ~ iPr_def_24
| ( k2_rlvect_1(sK530,X0,k5_rlvect_1(sK530,X0)) = k1_rlvect_1(sK530) )
| ~ m1_subset_1(X0,u1_struct_0(sK530)) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_24])],[c_110792]) ).
tcf(c_120004,plain,
( iPr_def_24
| v3_struct_0(sK530)
| ~ sP31(sK530) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_110792]) ).
tcf(c_120005,plain,
! [X0: $i,X1: $i] :
( ~ iPr_def_25
| ( k2_rlvect_1(sK530,X1,sK535(sK530,X1,X0)) = X0 )
| ~ m1_subset_1(X1,u1_struct_0(sK530))
| ~ m1_subset_1(X0,u1_struct_0(sK530)) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_25])],[c_110769]) ).
tcf(c_120006,plain,
( iPr_def_25
| v3_struct_0(sK530)
| ~ sP31(sK530) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_110769]) ).
tcf(c_120007,plain,
! [X0: $i,X1: $i] :
( ~ iPr_def_26
| m1_subset_1(sK535(sK530,X1,X0),u1_struct_0(sK530))
| ~ m1_subset_1(X1,u1_struct_0(sK530))
| ~ m1_subset_1(X0,u1_struct_0(sK530)) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_26])],[c_110746]) ).
tcf(c_120008,plain,
( iPr_def_26
| v3_struct_0(sK530)
| ~ sP31(sK530) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_110746]) ).
tcf(c_120009,plain,
! [X0: $i,X1: $i] :
( ~ iPr_def_27
| ( k2_rlvect_1(sK530,k5_rlvect_1(sK530,X0),k5_rlvect_1(sK530,X1)) = k5_rlvect_1(sK530,k2_rlvect_1(sK530,X1,X0)) )
| ~ m1_subset_1(X1,u1_struct_0(sK530))
| ~ m1_subset_1(X0,u1_struct_0(sK530)) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_27])],[c_110723]) ).
tcf(c_120010,plain,
( iPr_def_27
| v3_struct_0(sK530)
| ~ sP31(sK530) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_110723]) ).
tcf(c_120011,plain,
! [X0: $i,X1: $i] :
( ~ iPr_def_28
| ( k5_rlvect_1(sK530,k2_rlvect_1(sK530,k5_rlvect_1(sK530,X0),k5_rlvect_1(sK530,X1))) = k2_rlvect_1(sK530,X1,X0) )
| ~ m1_subset_1(X1,u1_struct_0(sK530))
| ~ m1_subset_1(X0,u1_struct_0(sK530)) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_28])],[c_110690]) ).
tcf(c_120012,plain,
( iPr_def_28
| v3_struct_0(sK530)
| ~ sP31(sK530) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_110690]) ).
tcf(c_120013,plain,
! [X0: $i,X1: $i] :
( ~ iPr_def_29
| ( k5_rlvect_1(sK530,k2_rlvect_1(sK530,k5_rlvect_1(sK530,X1),X0)) = k2_rlvect_1(sK530,k5_rlvect_1(sK530,X0),X1) )
| ~ m1_subset_1(X1,u1_struct_0(sK530))
| ~ m1_subset_1(X0,u1_struct_0(sK530)) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_29])],[c_110667]) ).
tcf(c_120014,plain,
( iPr_def_29
| v3_struct_0(sK530)
| ~ sP31(sK530) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_110667]) ).
tcf(c_120015,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ iPr_def_30
| ( k1_binop_1(u1_rlvect_1(sK530),k1_binop_1(u1_rlvect_1(sK530),X1,X0),X2) = k1_binop_1(u1_rlvect_1(sK530),X1,k1_binop_1(u1_rlvect_1(sK530),X0,X2)) )
| ~ m1_subset_1(X2,u1_struct_0(sK530))
| ~ m1_subset_1(X1,u1_struct_0(sK530))
| ~ m1_subset_1(X0,u1_struct_0(sK530)) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_30])],[c_110641]) ).
tcf(c_120016,plain,
( iPr_def_30
| v3_struct_0(sK530)
| ~ sP31(sK530) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_110641]) ).
tcf(c_120017,plain,
! [X0: $i,X1: $i] :
( ~ iPr_def_31
| ( k5_rlvect_1(sK530,X0) = X1 )
| ( k2_rlvect_1(sK530,X1,X0) != k1_rlvect_1(sK530) )
| ~ m1_subset_1(X1,u1_struct_0(sK530))
| ~ m1_subset_1(X0,u1_struct_0(sK530)) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_31])],[c_110516]) ).
tcf(c_120018,plain,
( iPr_def_31
| v3_struct_0(sK530)
| ~ sP31(sK530) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_110516]) ).
tcf(c_120019,plain,
! [X0: $i] :
( ~ iPr_def_32
| ~ m1_subset_1(X0,u1_struct_0(sK530)) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_32])],[c_110486]) ).
tcf(c_120020,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ iPr_def_33
| ( k2_rlvect_1(sK530,X1,X0) != k2_rlvect_1(sK530,X2,X0) )
| ( X1 = X2 )
| ~ m1_subset_1(X2,u1_struct_0(sK530))
| ~ m1_subset_1(X1,u1_struct_0(sK530))
| ~ m1_subset_1(X0,u1_struct_0(sK530)) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_33])],[c_110486]) ).
tcf(c_120021,plain,
( iPr_def_33
| iPr_def_32
| v3_struct_0(sK530)
| ~ sP31(sK530) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_110486]) ).
tcf(c_120022,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ iPr_def_34
| ( k2_rlvect_1(sK530,X1,X0) != k2_rlvect_1(sK530,X1,X2) )
| ( X0 = X2 )
| ~ m1_subset_1(X2,u1_struct_0(sK530))
| ~ m1_subset_1(X1,u1_struct_0(sK530))
| ~ m1_subset_1(X0,u1_struct_0(sK530)) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_34])],[c_110455]) ).
tcf(c_120023,plain,
( iPr_def_34
| iPr_def_32
| v3_struct_0(sK530)
| ~ sP31(sK530) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_110455]) ).
tcf(c_120024,plain,
! [X0: $i,X1: $i] :
( ~ iPr_def_35
| ( k1_rlvect_1(sK530) = X1 )
| ( k2_rlvect_1(sK530,X1,X0) != X0 )
| ~ m1_subset_1(X1,u1_struct_0(sK530))
| ~ m1_subset_1(X0,u1_struct_0(sK530)) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_35])],[c_110430]) ).
tcf(c_120025,plain,
( iPr_def_35
| v3_struct_0(sK530)
| ~ sP31(sK530) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_110430]) ).
tcf(c_120026,plain,
! [X0: $i,X1: $i] :
( ~ iPr_def_36
| ( k1_rlvect_1(sK530) = X0 )
| ( k2_rlvect_1(sK530,X1,X0) != X1 )
| ~ m1_subset_1(X1,u1_struct_0(sK530))
| ~ m1_subset_1(X0,u1_struct_0(sK530)) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_36])],[c_110405]) ).
tcf(c_120027,plain,
( iPr_def_36
| v3_struct_0(sK530)
| ~ sP31(sK530) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_110405]) ).
tcf(c_120028,plain,
! [X0: $i,X1: $i] :
( ~ iPr_def_37
| ( k5_rlvect_1(sK530,X1) = X0 )
| ( k2_rlvect_1(sK530,X1,X0) != k1_rlvect_1(sK530) )
| ~ m1_subset_1(X1,u1_struct_0(sK530))
| ~ m1_subset_1(X0,u1_struct_0(sK530)) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_37])],[c_110379]) ).
tcf(c_120029,plain,
( iPr_def_37
| v3_struct_0(sK530)
| ~ sP31(sK530) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_110379]) ).
tcf(c_120030,plain,
( iPr_def_13
| v3_struct_0(sK530)
| ~ v6_rlvect_1(sK530)
| ~ v5_rlvect_1(sK530)
| ~ v4_rlvect_1(sK530)
| ~ v3_rlvect_1(sK530) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_107406]) ).
tcf(c_120031,plain,
( iPr_def_12
| v3_struct_0(sK530)
| ~ v6_rlvect_1(sK530)
| ~ v5_rlvect_1(sK530)
| ~ v4_rlvect_1(sK530)
| ~ v3_rlvect_1(sK530) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_107373]) ).
tcf(c_120032,plain,
( iPr_def_11
| v3_struct_0(sK530)
| ~ v6_rlvect_1(sK530)
| ~ v5_rlvect_1(sK530)
| ~ v4_rlvect_1(sK530)
| ~ v3_rlvect_1(sK530) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_107340]) ).
tcf(c_120033,plain,
( iPr_def_10
| v3_struct_0(sK530)
| ~ v6_rlvect_1(sK530)
| ~ v5_rlvect_1(sK530)
| ~ v4_rlvect_1(sK530)
| ~ v3_rlvect_1(sK530) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_107307]) ).
tcf(c_120034,plain,
( iPr_def_16
| v3_struct_0(sK530)
| ~ v3_rlvect_1(sK530) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_107274]) ).
tcf(c_120035,plain,
( iPr_def_30
| v3_struct_0(sK530)
| ~ v4_rlvect_1(sK530) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_107253]) ).
tcf(c_120036,plain,
( iPr_def_29
| v3_struct_0(sK530)
| ~ v6_rlvect_1(sK530)
| ~ v5_rlvect_1(sK530)
| ~ v4_rlvect_1(sK530) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_107229]) ).
tcf(c_120037,plain,
( iPr_def_28
| v3_struct_0(sK530)
| ~ v6_rlvect_1(sK530)
| ~ v5_rlvect_1(sK530)
| ~ v4_rlvect_1(sK530) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_107205]) ).
tcf(c_120038,plain,
( iPr_def_27
| v3_struct_0(sK530)
| ~ v6_rlvect_1(sK530)
| ~ v5_rlvect_1(sK530)
| ~ v4_rlvect_1(sK530) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_107166]) ).
tcf(c_120039,plain,
( iPr_def_26
| v3_struct_0(sK530)
| ~ v6_rlvect_1(sK530)
| ~ v5_rlvect_1(sK530)
| ~ v4_rlvect_1(sK530) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_107142]) ).
tcf(c_120040,plain,
( iPr_def_25
| v3_struct_0(sK530)
| ~ v6_rlvect_1(sK530)
| ~ v5_rlvect_1(sK530)
| ~ v4_rlvect_1(sK530) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_107118]) ).
tcf(c_120041,plain,
( iPr_def_24
| v3_struct_0(sK530)
| ~ v6_rlvect_1(sK530)
| ~ v5_rlvect_1(sK530)
| ~ v4_rlvect_1(sK530) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_107097]) ).
tcf(c_120042,plain,
( iPr_def_23
| v3_struct_0(sK530)
| ~ v6_rlvect_1(sK530)
| ~ v5_rlvect_1(sK530)
| ~ v4_rlvect_1(sK530) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_107076]) ).
tcf(c_120043,plain,
( iPr_def_22
| v3_struct_0(sK530)
| ~ v6_rlvect_1(sK530)
| ~ v5_rlvect_1(sK530)
| ~ v4_rlvect_1(sK530) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_107055]) ).
tcf(c_120044,plain,
( iPr_def_21
| v3_struct_0(sK530)
| ~ v6_rlvect_1(sK530) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_107040]) ).
tcf(c_120045,plain,
( iPr_def_20
| v3_struct_0(sK530)
| ~ v6_rlvect_1(sK530) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_107025]) ).
tcf(c_120046,plain,
( iPr_def_19
| v3_struct_0(sK530)
| ~ v5_rlvect_1(sK530) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_107010]) ).
tcf(c_120047,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ iPr_def_38
| ( k2_rlvect_1(sK530,k2_rlvect_1(sK530,X1,X0),X2) = k2_rlvect_1(sK530,X1,k2_rlvect_1(sK530,X0,X2)) )
| ~ m1_subset_1(X2,u1_struct_0(sK530))
| ~ m1_subset_1(X1,u1_struct_0(sK530))
| ~ m1_subset_1(X0,u1_struct_0(sK530)) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_38])],[c_106989]) ).
tcf(c_120048,plain,
( iPr_def_38
| v3_struct_0(sK530)
| ~ v4_rlvect_1(sK530) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_106989]) ).
tcf(c_120049,plain,
( iPr_def_15
| v3_struct_0(sK530)
| ~ v3_rlvect_1(sK530) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_106971]) ).
tcf(c_120050,plain,
( iPr_def_18
| v3_struct_0(sK530)
| ~ v6_rlvect_1(sK530)
| ~ v5_rlvect_1(sK530)
| ~ v4_rlvect_1(sK530) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_106932]) ).
tcf(c_120051,plain,
( iPr_def_17
| v3_struct_0(sK530)
| ~ v6_rlvect_1(sK530)
| ~ v5_rlvect_1(sK530)
| ~ v4_rlvect_1(sK530) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_106908]) ).
tcf(c_120052,plain,
( iPr_def_14
| v3_struct_0(sK530)
| ~ v6_rlvect_1(sK530)
| ~ v5_rlvect_1(sK530)
| ~ v4_rlvect_1(sK530)
| ~ v3_rlvect_1(sK530) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_106860]) ).
tcf(c_120053,plain,
( iPr_def_37
| v3_struct_0(sK530)
| ~ v6_rlvect_1(sK530)
| ~ v5_rlvect_1(sK530)
| ~ v4_rlvect_1(sK530) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_106757]) ).
tcf(c_120054,plain,
( iPr_def_36
| v3_struct_0(sK530)
| ~ v6_rlvect_1(sK530)
| ~ v5_rlvect_1(sK530)
| ~ v4_rlvect_1(sK530) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_106700]) ).
tcf(c_120055,plain,
( iPr_def_35
| v3_struct_0(sK530)
| ~ v6_rlvect_1(sK530)
| ~ v5_rlvect_1(sK530)
| ~ v4_rlvect_1(sK530) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_106673]) ).
tcf(c_120056,plain,
( iPr_def_34
| iPr_def_32
| v3_struct_0(sK530)
| ~ v6_rlvect_1(sK530)
| ~ v5_rlvect_1(sK530)
| ~ v4_rlvect_1(sK530) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_106641]) ).
tcf(c_120057,plain,
( iPr_def_33
| iPr_def_32
| v3_struct_0(sK530)
| ~ v6_rlvect_1(sK530)
| ~ v5_rlvect_1(sK530)
| ~ v4_rlvect_1(sK530) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_106608]) ).
tcf(c_120058,plain,
( iPr_def_31
| v3_struct_0(sK530)
| ~ v6_rlvect_1(sK530)
| ~ v5_rlvect_1(sK530)
| ~ v4_rlvect_1(sK530) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_106581]) ).
tcf(c_120059,plain,
! [X0: $i] :
( ~ iPr_def_39
| ( k2_rlvect_1(sK530,sK536(sK530),X0) != k1_rlvect_1(sK530) )
| ~ m1_subset_1(X0,u1_struct_0(sK530)) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_39])],[c_106566]) ).
tcf(c_120060,plain,
( iPr_def_39
| v6_rlvect_1(sK530)
| v3_struct_0(sK530) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_106566]) ).
tcf(c_120061,plain,
! [X0: $i] :
( ~ iPr_def_40
| ~ v1_xreal_0(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_40])],[c_2742]) ).
tcf(c_120062,plain,
! [X0: $i] :
( ~ iPr_def_41
| ~ v1_xreal_0(X0)
| r1_xreal_0(X0,X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_41])],[c_2742]) ).
tcf(c_120063,plain,
( iPr_def_41
| iPr_def_40 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_2742]) ).
tcf(c_120064,plain,
! [X0: $i,X1: $i] :
( ~ iPr_def_42
| ~ l1_pre_topc(X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_42])],[c_1257]) ).
tcf(c_120065,plain,
! [X0: $i,X1: $i] :
( ~ iPr_def_43
| ( k1_tops_1(X1,X0) != X0 )
| ~ v2_pre_topc(X1)
| ~ l1_pre_topc(X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1)))
| v3_pre_topc(X0,X1) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_43])],[c_1257]) ).
tcf(c_120066,plain,
( iPr_def_43
| iPr_def_42 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_1257]) ).
tcf(c_120067,plain,
! [X0: $i,X1: $i] :
( ~ iPr_def_44
| ( k1_tops_1(X1,X0) = X0 )
| ~ l1_pre_topc(X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1)))
| ~ v3_pre_topc(X0,X1) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_44])],[c_1256]) ).
tcf(c_120068,plain,
! [X0: $i,X1: $i] :
( ~ iPr_def_45
| ~ v2_pre_topc(X1)
| ~ l1_pre_topc(X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_45])],[c_1256]) ).
tcf(c_120069,plain,
( iPr_def_45
| iPr_def_44 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_1256]) ).
tcf(c_120070,plain,
! [X0: $i] :
( ~ iPr_def_46
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_46])],[c_70]) ).
tcf(c_120071,plain,
! [X0: $i] :
( ~ iPr_def_47
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| r1_filter_1(X0,X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_47])],[c_70]) ).
tcf(c_120072,plain,
( iPr_def_47
| iPr_def_46 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_70]) ).
tcf(c_120449,plain,
( ~ iPr_def_40
| ~ v1_xreal_0(np__0) ),
inference(instantiation,[status(thm)],[c_120061]) ).
tcf(c_159059,plain,
! [X0: $i,X1: $i,X2: $i] : k5_xboole_0(X0,k5_xboole_0(X1,X2)) = k5_xboole_0(X1,k5_xboole_0(X0,X2)),
inference(superposition,[status(thm)],[c_2613,c_2615]) ).
tcf(c_159102,plain,
! [X0: $i,X1: $i] : k2_zfmisc_1(k3_tarski(k2_tarski(X0,X0)),X1) = k2_zfmisc_1(X0,k3_tarski(k2_tarski(X1,X1))),
inference(superposition,[status(thm)],[c_473,c_474]) ).
tcf(c_159104,plain,
! [X0: $i,X1: $i] : k2_zfmisc_1(X0,k3_tarski(k2_tarski(X1,X1))) = k2_zfmisc_1(X0,X1),
inference(light_normalisation,[status(thm)],[c_159102,c_502]) ).
tcf(c_159106,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : k4_xboole_0(k4_xboole_0(X0,k2_zfmisc_1(k4_xboole_0(X1,X2),X3)),k2_zfmisc_1(X1,k4_xboole_0(X3,X4))) = k4_xboole_0(X0,k4_xboole_0(k2_zfmisc_1(X1,X3),k2_zfmisc_1(X2,X4))),
inference(superposition,[status(thm)],[c_471,c_484]) ).
tcf(c_159107,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : k4_xboole_0(k4_xboole_0(X0,k2_zfmisc_1(X1,X2)),k2_zfmisc_1(X1,X3)) = k4_xboole_0(X0,k2_zfmisc_1(X1,k3_tarski(k2_tarski(X2,X3)))),
inference(superposition,[status(thm)],[c_474,c_484]) ).
tcf(c_159108,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : k4_xboole_0(k4_xboole_0(X0,k2_zfmisc_1(X1,X2)),k2_zfmisc_1(X3,X2)) = k4_xboole_0(X0,k2_zfmisc_1(k3_tarski(k2_tarski(X1,X3)),X2)),
inference(superposition,[status(thm)],[c_473,c_484]) ).
tcf(c_159109,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : k4_xboole_0(k4_xboole_0(X0,k4_xboole_0(X1,X2)),k4_xboole_0(X3,X2)) = k4_xboole_0(X0,k4_xboole_0(k3_tarski(k2_tarski(X1,X3)),X2)),
inference(superposition,[status(thm)],[c_483,c_484]) ).
tcf(c_159110,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : k3_tarski(k2_tarski(k4_xboole_0(k4_xboole_0(X0,X1),X2),k4_xboole_0(X3,k3_tarski(k2_tarski(X1,X2))))) = k4_xboole_0(k3_tarski(k2_tarski(X0,X3)),k3_tarski(k2_tarski(X1,X2))),
inference(superposition,[status(thm)],[c_484,c_483]) ).
tcf(c_159111,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : k3_tarski(k2_tarski(k2_zfmisc_1(k4_xboole_0(k4_xboole_0(X0,X1),X2),X3),k2_zfmisc_1(X0,k4_xboole_0(X3,X4)))) = k4_xboole_0(k2_zfmisc_1(X0,X3),k2_zfmisc_1(k3_tarski(k2_tarski(X1,X2)),X4)),
inference(superposition,[status(thm)],[c_484,c_471]) ).
tcf(c_159112,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : k3_tarski(k2_tarski(k2_zfmisc_1(k4_xboole_0(X0,X1),X2),k2_zfmisc_1(X0,k4_xboole_0(k4_xboole_0(X2,X3),X4)))) = k4_xboole_0(k2_zfmisc_1(X0,X2),k2_zfmisc_1(X1,k3_tarski(k2_tarski(X3,X4)))),
inference(superposition,[status(thm)],[c_484,c_471]) ).
tcf(c_159113,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : k3_tarski(k2_tarski(k4_xboole_0(X0,k3_tarski(k2_tarski(X1,X2))),k4_xboole_0(k4_xboole_0(X3,X1),X2))) = k4_xboole_0(k3_tarski(k2_tarski(X0,X3)),k3_tarski(k2_tarski(X1,X2))),
inference(superposition,[status(thm)],[c_484,c_483]) ).
tcf(c_159114,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : k3_tarski(k2_tarski(k4_xboole_0(k4_xboole_0(X0,X1),X2),k4_xboole_0(k4_xboole_0(X3,X1),X2))) = k4_xboole_0(k3_tarski(k2_tarski(X0,X3)),k3_tarski(k2_tarski(X1,X2))),
inference(light_normalisation,[status(thm)],[c_159113,c_484]) ).
tcf(c_159124,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : k4_xboole_0(k4_xboole_0(k2_zfmisc_1(X0,X1),k2_zfmisc_1(X2,X3)),k2_zfmisc_1(X0,k4_xboole_0(X1,X3))) = k4_xboole_0(k2_zfmisc_1(k4_xboole_0(X0,X2),X1),k2_zfmisc_1(X0,k4_xboole_0(X1,X3))),
inference(superposition,[status(thm)],[c_471,c_485]) ).
tcf(c_159125,plain,
! [X0: $i,X1: $i,X2: $i] : k4_xboole_0(k2_zfmisc_1(X0,k3_tarski(k2_tarski(X1,X2))),k2_zfmisc_1(X0,X2)) = k4_xboole_0(k2_zfmisc_1(X0,X1),k2_zfmisc_1(X0,X2)),
inference(superposition,[status(thm)],[c_474,c_485]) ).
tcf(c_159126,plain,
! [X0: $i,X1: $i,X2: $i] : k4_xboole_0(k2_zfmisc_1(k3_tarski(k2_tarski(X0,X1)),X2),k2_zfmisc_1(X1,X2)) = k4_xboole_0(k2_zfmisc_1(X0,X2),k2_zfmisc_1(X1,X2)),
inference(superposition,[status(thm)],[c_473,c_485]) ).
tcf(c_159127,plain,
! [X0: $i,X1: $i,X2: $i] : k4_xboole_0(k4_xboole_0(k3_tarski(k2_tarski(X0,X1)),X2),k4_xboole_0(X1,X2)) = k4_xboole_0(k4_xboole_0(X0,X2),k4_xboole_0(X1,X2)),
inference(superposition,[status(thm)],[c_483,c_485]) ).
tcf(c_159128,plain,
! [X0: $i,X1: $i,X2: $i] : k4_xboole_0(k3_tarski(k2_tarski(k3_tarski(k2_tarski(X0,X1)),X2)),X1) = k3_tarski(k2_tarski(k4_xboole_0(X0,X1),k4_xboole_0(X2,X1))),
inference(superposition,[status(thm)],[c_485,c_483]) ).
tcf(c_159129,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : k3_tarski(k2_tarski(k2_zfmisc_1(k4_xboole_0(X0,X1),X2),k2_zfmisc_1(k3_tarski(k2_tarski(X0,X1)),k4_xboole_0(X2,X3)))) = k4_xboole_0(k2_zfmisc_1(k3_tarski(k2_tarski(X0,X1)),X2),k2_zfmisc_1(X1,X3)),
inference(superposition,[status(thm)],[c_485,c_471]) ).
tcf(c_159130,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : k3_tarski(k2_tarski(k2_zfmisc_1(k4_xboole_0(X0,X1),k3_tarski(k2_tarski(X2,X3))),k2_zfmisc_1(X0,k4_xboole_0(X2,X3)))) = k4_xboole_0(k2_zfmisc_1(X0,k3_tarski(k2_tarski(X2,X3))),k2_zfmisc_1(X1,X3)),
inference(superposition,[status(thm)],[c_485,c_471]) ).
tcf(c_159131,plain,
! [X0: $i,X1: $i,X2: $i] : k4_xboole_0(k3_tarski(k2_tarski(X0,k3_tarski(k2_tarski(X1,X2)))),X2) = k3_tarski(k2_tarski(k4_xboole_0(X0,X2),k4_xboole_0(X1,X2))),
inference(superposition,[status(thm)],[c_485,c_483]) ).
tcf(c_159132,plain,
! [X0: $i,X1: $i,X2: $i] : k4_xboole_0(k4_xboole_0(k3_tarski(k2_tarski(X0,k3_tarski(k2_tarski(X1,X2)))),X1),X2) = k4_xboole_0(X0,k3_tarski(k2_tarski(X1,X2))),
inference(superposition,[status(thm)],[c_485,c_484]) ).
tcf(c_159133,plain,
! [X0: $i,X1: $i,X2: $i] : k4_xboole_0(k4_xboole_0(k3_tarski(k2_tarski(X0,k3_tarski(k2_tarski(X1,X2)))),X1),X2) = k4_xboole_0(k4_xboole_0(X0,X1),X2),
inference(light_normalisation,[status(thm)],[c_159132,c_484]) ).
tcf(c_159134,plain,
! [X0: $i,X1: $i,X2: $i] : k4_xboole_0(k3_tarski(k2_tarski(X0,k3_tarski(k2_tarski(X1,X2)))),X1) = k4_xboole_0(k3_tarski(k2_tarski(X0,X2)),X1),
inference(light_normalisation,[status(thm)],[c_159128,c_483,c_500]) ).
tcf(c_159135,plain,
! [X0: $i,X1: $i,X2: $i] : k4_xboole_0(k2_zfmisc_1(X0,k3_tarski(k2_tarski(X1,X2))),k2_zfmisc_1(X0,X2)) = k2_zfmisc_1(X0,k4_xboole_0(X1,X2)),
inference(light_normalisation,[status(thm)],[c_159125,c_1714]) ).
tcf(c_159145,plain,
! [X0: $i,X1: $i,X2: $i] : k3_tarski(k2_tarski(k3_tarski(k2_tarski(X0,X1)),k4_xboole_0(k4_xboole_0(X2,X0),X1))) = k3_tarski(k2_tarski(k3_tarski(k2_tarski(X0,X1)),X2)),
inference(superposition,[status(thm)],[c_484,c_486]) ).
tcf(c_159146,plain,
! [X0: $i,X1: $i] : k3_tarski(k2_tarski(X0,k3_tarski(k2_tarski(X1,X0)))) = k3_tarski(k2_tarski(X0,k4_xboole_0(X1,X0))),
inference(superposition,[status(thm)],[c_485,c_486]) ).
tcf(c_159147,plain,
! [X0: $i,X1: $i] : k4_xboole_0(k3_tarski(k2_tarski(X0,X1)),k4_xboole_0(X1,X0)) = k4_xboole_0(X0,k4_xboole_0(X1,X0)),
inference(superposition,[status(thm)],[c_486,c_485]) ).
tcf(c_159148,plain,
! [X0: $i,X1: $i,X2: $i] : k4_xboole_0(k4_xboole_0(X0,X1),k4_xboole_0(X2,X1)) = k4_xboole_0(X0,k3_tarski(k2_tarski(X1,X2))),
inference(superposition,[status(thm)],[c_486,c_484]) ).
tcf(c_159149,plain,
! [X0: $i,X1: $i,X2: $i] : k4_xboole_0(k4_xboole_0(X0,X1),k4_xboole_0(X2,X1)) = k4_xboole_0(k4_xboole_0(X0,X1),X2),
inference(light_normalisation,[status(thm)],[c_159148,c_484]) ).
tcf(c_159150,plain,
! [X0: $i,X1: $i] : k3_tarski(k2_tarski(X0,k3_tarski(k2_tarski(X1,X0)))) = k3_tarski(k2_tarski(X0,X1)),
inference(light_normalisation,[status(thm)],[c_159146,c_486]) ).
tcf(c_159151,plain,
! [X0: $i,X1: $i,X2: $i] : k3_tarski(k2_tarski(k3_tarski(k2_tarski(X0,X1)),k4_xboole_0(k4_xboole_0(X2,X0),X1))) = k3_tarski(k2_tarski(X0,k3_tarski(k2_tarski(X1,X2)))),
inference(light_normalisation,[status(thm)],[c_159145,c_500]) ).
tcf(c_159155,plain,
iPr_def_41,
inference(global_subsumption_just,[status(thm)],[c_120063,c_3240,c_1396,c_4188,c_4221,c_120449,c_120063]) ).
tcf(c_159173,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( k2_zfmisc_1(k4_xboole_0(X0,X2),X1) = np__0 )
| ( k4_xboole_0(k2_zfmisc_1(X0,X1),k2_zfmisc_1(X2,X3)) != np__0 ) ),
inference(superposition,[status(thm)],[c_471,c_487]) ).
tcf(c_159174,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k2_zfmisc_1(X0,X1) = np__0 )
| ( k2_zfmisc_1(X0,k3_tarski(k2_tarski(X1,X2))) != np__0 ) ),
inference(superposition,[status(thm)],[c_474,c_487]) ).
tcf(c_159175,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k2_zfmisc_1(X0,X2) = np__0 )
| ( k2_zfmisc_1(k3_tarski(k2_tarski(X0,X1)),X2) != np__0 ) ),
inference(superposition,[status(thm)],[c_473,c_487]) ).
tcf(c_159177,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k4_xboole_0(X0,X2) = np__0 )
| ( k4_xboole_0(k3_tarski(k2_tarski(X0,X1)),X2) != np__0 ) ),
inference(superposition,[status(thm)],[c_483,c_487]) ).
tcf(c_159187,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : k3_tarski(k2_tarski(k2_zfmisc_1(k4_xboole_0(X0,X1),X2),k4_xboole_0(k2_zfmisc_1(X0,X2),k2_zfmisc_1(X1,X3)))) = k4_xboole_0(k2_zfmisc_1(X0,X2),k2_zfmisc_1(X1,X3)),
inference(superposition,[status(thm)],[c_471,c_498]) ).
tcf(c_159188,plain,
! [X0: $i,X1: $i,X2: $i] : k3_tarski(k2_tarski(k2_zfmisc_1(X0,X1),k2_zfmisc_1(X0,k3_tarski(k2_tarski(X1,X2))))) = k2_zfmisc_1(X0,k3_tarski(k2_tarski(X1,X2))),
inference(superposition,[status(thm)],[c_474,c_498]) ).
tcf(c_159189,plain,
! [X0: $i,X1: $i,X2: $i] : k3_tarski(k2_tarski(k2_zfmisc_1(X0,X1),k2_zfmisc_1(k3_tarski(k2_tarski(X0,X2)),X1))) = k2_zfmisc_1(k3_tarski(k2_tarski(X0,X2)),X1),
inference(superposition,[status(thm)],[c_473,c_498]) ).
tcf(c_159191,plain,
! [X0: $i,X1: $i,X2: $i] : k3_tarski(k2_tarski(k4_xboole_0(X0,X1),k4_xboole_0(k3_tarski(k2_tarski(X0,X2)),X1))) = k4_xboole_0(k3_tarski(k2_tarski(X0,X2)),X1),
inference(superposition,[status(thm)],[c_483,c_498]) ).
tcf(c_159193,plain,
! [X0: $i,X1: $i] : k4_xboole_0(k3_tarski(k2_tarski(X0,X1)),k3_tarski(k2_tarski(X0,X1))) = k4_xboole_0(X0,k3_tarski(k2_tarski(X0,X1))),
inference(superposition,[status(thm)],[c_498,c_485]) ).
tcf(c_159194,plain,
! [X0: $i,X1: $i,X2: $i] : k4_xboole_0(k4_xboole_0(X0,X1),k3_tarski(k2_tarski(X1,X2))) = k4_xboole_0(X0,k3_tarski(k2_tarski(X1,X2))),
inference(superposition,[status(thm)],[c_498,c_484]) ).
tcf(c_159195,plain,
! [X0: $i,X1: $i,X2: $i] : k4_xboole_0(k4_xboole_0(X0,X1),k3_tarski(k2_tarski(X1,X2))) = k4_xboole_0(k4_xboole_0(X0,X1),X2),
inference(light_normalisation,[status(thm)],[c_159194,c_484]) ).
tcf(c_159204,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : k3_tarski(k2_tarski(k2_zfmisc_1(k4_xboole_0(X0,X1),X2),k3_tarski(k2_tarski(k2_zfmisc_1(X0,k4_xboole_0(X2,X3)),X4)))) = k3_tarski(k2_tarski(k4_xboole_0(k2_zfmisc_1(X0,X2),k2_zfmisc_1(X1,X3)),X4)),
inference(superposition,[status(thm)],[c_471,c_500]) ).
tcf(c_159205,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : k3_tarski(k2_tarski(k2_zfmisc_1(X0,X1),k3_tarski(k2_tarski(k2_zfmisc_1(X0,X2),X3)))) = k3_tarski(k2_tarski(k2_zfmisc_1(X0,k3_tarski(k2_tarski(X1,X2))),X3)),
inference(superposition,[status(thm)],[c_474,c_500]) ).
tcf(c_159206,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : k3_tarski(k2_tarski(k2_zfmisc_1(X0,X1),k3_tarski(k2_tarski(k2_zfmisc_1(X2,X1),X3)))) = k3_tarski(k2_tarski(k2_zfmisc_1(k3_tarski(k2_tarski(X0,X2)),X1),X3)),
inference(superposition,[status(thm)],[c_473,c_500]) ).
tcf(c_159208,plain,
! [X0: $i,X1: $i,X2: $i] : k3_tarski(k2_tarski(X0,k3_tarski(k2_tarski(k4_xboole_0(X1,X0),X2)))) = k3_tarski(k2_tarski(k3_tarski(k2_tarski(X0,X1)),X2)),
inference(superposition,[status(thm)],[c_486,c_500]) ).
tcf(c_159209,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : k3_tarski(k2_tarski(k4_xboole_0(X0,X1),k3_tarski(k2_tarski(k4_xboole_0(X2,X1),X3)))) = k3_tarski(k2_tarski(k4_xboole_0(k3_tarski(k2_tarski(X0,X2)),X1),X3)),
inference(superposition,[status(thm)],[c_483,c_500]) ).
tcf(c_159210,plain,
! [X0: $i,X1: $i,X2: $i] : k3_tarski(k2_tarski(X0,k3_tarski(k2_tarski(k3_tarski(k2_tarski(X0,X1)),X2)))) = k3_tarski(k2_tarski(k3_tarski(k2_tarski(X0,X1)),X2)),
inference(superposition,[status(thm)],[c_498,c_500]) ).
tcf(c_159211,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : k3_tarski(k2_tarski(k3_tarski(k2_tarski(X0,k3_tarski(k2_tarski(X1,X2)))),X3)) = k3_tarski(k2_tarski(k3_tarski(k2_tarski(X0,X1)),k3_tarski(k2_tarski(X2,X3)))),
inference(superposition,[status(thm)],[c_500,c_500]) ).
tcf(c_159212,plain,
! [X0: $i,X1: $i,X2: $i] : k3_tarski(k2_tarski(k3_tarski(k2_tarski(X0,X1)),k3_tarski(k2_tarski(X0,k3_tarski(k2_tarski(X1,X2)))))) = k3_tarski(k2_tarski(X0,k3_tarski(k2_tarski(X1,X2)))),
inference(superposition,[status(thm)],[c_500,c_498]) ).
tcf(c_159213,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k3_tarski(k2_tarski(X0,X1)) = np__0 )
| ( k3_tarski(k2_tarski(X0,k3_tarski(k2_tarski(X1,X2)))) != np__0 ) ),
inference(superposition,[status(thm)],[c_500,c_487]) ).
tcf(c_159214,plain,
! [X0: $i,X1: $i,X2: $i] : k4_xboole_0(k3_tarski(k2_tarski(X0,k3_tarski(k2_tarski(X1,X2)))),X2) = k4_xboole_0(k3_tarski(k2_tarski(X0,X1)),X2),
inference(superposition,[status(thm)],[c_500,c_485]) ).
tcf(c_159215,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : k4_xboole_0(X0,k3_tarski(k2_tarski(X1,k3_tarski(k2_tarski(X2,X3))))) = k4_xboole_0(k4_xboole_0(X0,k3_tarski(k2_tarski(X1,X2))),X3),
inference(superposition,[status(thm)],[c_500,c_484]) ).
tcf(c_159216,plain,
! [X0: $i,X1: $i,X2: $i] : k3_tarski(k2_tarski(X0,k3_tarski(k2_tarski(X1,k4_xboole_0(X2,k3_tarski(k2_tarski(X0,X1))))))) = k3_tarski(k2_tarski(k3_tarski(k2_tarski(X0,X1)),X2)),
inference(superposition,[status(thm)],[c_500,c_486]) ).
tcf(c_159217,plain,
! [X0: $i,X1: $i,X2: $i] : k3_tarski(k2_tarski(X0,k3_tarski(k2_tarski(X1,k3_tarski(k2_tarski(k3_tarski(k2_tarski(X0,X1)),X2)))))) = k3_tarski(k2_tarski(k3_tarski(k2_tarski(X0,X1)),X2)),
inference(superposition,[status(thm)],[c_500,c_498]) ).
tcf(c_159220,plain,
! [X0: $i,X1: $i,X2: $i] : k3_tarski(k2_tarski(X0,k3_tarski(k2_tarski(k4_xboole_0(X1,X0),X2)))) = k3_tarski(k2_tarski(X0,k3_tarski(k2_tarski(X1,X2)))),
inference(light_normalisation,[status(thm)],[c_159208,c_500]) ).
tcf(c_159221,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : k4_xboole_0(X0,k3_tarski(k2_tarski(X1,k3_tarski(k2_tarski(X2,X3))))) = k4_xboole_0(k4_xboole_0(k4_xboole_0(X0,X1),X2),X3),
inference(light_normalisation,[status(thm)],[c_159215,c_484]) ).
tcf(c_159222,plain,
! [X0: $i,X1: $i,X2: $i] : k3_tarski(k2_tarski(X0,k3_tarski(k2_tarski(X0,k3_tarski(k2_tarski(X1,X2)))))) = k3_tarski(k2_tarski(X0,k3_tarski(k2_tarski(X1,X2)))),
inference(light_normalisation,[status(thm)],[c_159210,c_500]) ).
tcf(c_159223,plain,
! [X0: $i,X1: $i,X2: $i] : k3_tarski(k2_tarski(X0,k3_tarski(k2_tarski(X1,k4_xboole_0(X2,k3_tarski(k2_tarski(X0,X1))))))) = k3_tarski(k2_tarski(X0,k3_tarski(k2_tarski(X1,X2)))),
inference(light_normalisation,[status(thm)],[c_159216,c_500]) ).
tcf(c_159224,plain,
! [X0: $i,X1: $i,X2: $i] : k3_tarski(k2_tarski(X0,k3_tarski(k2_tarski(X1,k3_tarski(k2_tarski(X0,k3_tarski(k2_tarski(X1,X2)))))))) = k3_tarski(k2_tarski(X0,k3_tarski(k2_tarski(X1,X2)))),
inference(light_normalisation,[status(thm)],[c_159217,c_500]) ).
tcf(c_159236,plain,
! [X0: $i,X1: $i] : k3_tarski(k2_tarski(X0,k3_tarski(k2_tarski(np__0,X1)))) = k3_tarski(k2_tarski(X0,X1)),
inference(superposition,[status(thm)],[c_501,c_500]) ).
tcf(c_159239,plain,
! [X0: $i,X1: $i] : k4_xboole_0(k4_xboole_0(X0,X1),np__0) = k4_xboole_0(X0,X1),
inference(superposition,[status(thm)],[c_501,c_484]) ).
tcf(c_159240,plain,
! [X0: $i,X1: $i] : k3_tarski(k2_tarski(X0,k3_tarski(k2_tarski(X1,np__0)))) = k3_tarski(k2_tarski(X0,X1)),
inference(superposition,[status(thm)],[c_501,c_500]) ).
tcf(c_159248,plain,
! [X0: $i,X1: $i] : k4_xboole_0(k4_xboole_0(X0,X1),X1) = k4_xboole_0(X0,X1),
inference(superposition,[status(thm)],[c_502,c_484]) ).
tcf(c_159250,plain,
! [X0: $i,X1: $i] : k2_zfmisc_1(k3_tarski(k2_tarski(X0,X0)),X1) = k2_zfmisc_1(X0,X1),
inference(superposition,[status(thm)],[c_502,c_473]) ).
tcf(c_159251,plain,
! [X0: $i,X1: $i] : k3_tarski(k2_tarski(X0,k3_tarski(k2_tarski(X1,k3_tarski(k2_tarski(X0,X1)))))) = k3_tarski(k2_tarski(X0,X1)),
inference(superposition,[status(thm)],[c_502,c_500]) ).
tcf(c_159252,plain,
! [X0: $i,X1: $i] : k4_xboole_0(k3_tarski(k2_tarski(X0,X0)),X1) = k4_xboole_0(X0,X1),
inference(superposition,[status(thm)],[c_502,c_483]) ).
tcf(c_159260,plain,
l1_struct_0(sK174),
inference(superposition,[status(thm)],[c_836,c_151]) ).
tcf(c_159261,plain,
l1_struct_0(sK458),
inference(superposition,[status(thm)],[c_2944,c_151]) ).
tcf(c_159262,plain,
l1_struct_0(sK462),
inference(superposition,[status(thm)],[c_2960,c_151]) ).
tcf(c_159263,plain,
l1_struct_0(sK463),
inference(superposition,[status(thm)],[c_2967,c_151]) ).
tcf(c_159268,plain,
l1_struct_0(sK41),
inference(superposition,[status(thm)],[c_60,c_152]) ).
tcf(c_159269,plain,
l1_struct_0(sK277),
inference(superposition,[status(thm)],[c_1792,c_152]) ).
tcf(c_159270,plain,
l1_struct_0(sK278),
inference(superposition,[status(thm)],[c_1795,c_152]) ).
tcf(c_159277,plain,
v1_funct_1(sK85),
inference(superposition,[status(thm)],[c_583,c_577]) ).
tcf(c_159278,plain,
! [X0: $i] : v1_funct_1(sK86(X0)),
inference(superposition,[status(thm)],[c_592,c_577]) ).
tcf(c_159279,plain,
v1_funct_1(sK89),
inference(superposition,[status(thm)],[c_602,c_577]) ).
tcf(c_159280,plain,
! [X0: $i] : v1_funct_1(sK259(X0)),
inference(superposition,[status(thm)],[c_1646,c_577]) ).
tcf(c_159302,plain,
! [X0: $i] : v1_relat_1(sK86(X0)),
inference(superposition,[status(thm)],[c_592,c_582]) ).
tcf(c_159303,plain,
v1_relat_1(sK89),
inference(superposition,[status(thm)],[c_602,c_582]) ).
tcf(c_159304,plain,
! [X0: $i] : v1_relat_1(sK259(X0)),
inference(superposition,[status(thm)],[c_1646,c_582]) ).
tcf(c_159314,plain,
v1_membered(sK83),
inference(superposition,[status(thm)],[c_575,c_1389]) ).
tcf(c_159316,plain,
v1_membered(sK85),
inference(superposition,[status(thm)],[c_583,c_1389]) ).
tcf(c_159317,plain,
! [X0: $i] : v1_membered(sK86(X0)),
inference(superposition,[status(thm)],[c_592,c_1389]) ).
tcf(c_159318,plain,
v1_membered(sK89),
inference(superposition,[status(thm)],[c_602,c_1389]) ).
tcf(c_159319,plain,
! [X0: $i] : v1_membered(sK259(X0)),
inference(superposition,[status(thm)],[c_1646,c_1389]) ).
tcf(c_159320,plain,
v1_membered(sK262),
inference(superposition,[status(thm)],[c_1668,c_1389]) ).
tcf(c_159321,plain,
v1_membered(sK431),
inference(superposition,[status(thm)],[c_2832,c_1389]) ).
tcf(c_159322,plain,
v1_membered(sK436),
inference(superposition,[status(thm)],[c_2857,c_1389]) ).
tcf(c_159338,plain,
v2_membered(sK83),
inference(superposition,[status(thm)],[c_575,c_1390]) ).
tcf(c_159340,plain,
v2_membered(sK85),
inference(superposition,[status(thm)],[c_583,c_1390]) ).
tcf(c_159341,plain,
! [X0: $i] : v2_membered(sK86(X0)),
inference(superposition,[status(thm)],[c_592,c_1390]) ).
tcf(c_159342,plain,
v2_membered(sK89),
inference(superposition,[status(thm)],[c_602,c_1390]) ).
tcf(c_159343,plain,
! [X0: $i] : v2_membered(sK259(X0)),
inference(superposition,[status(thm)],[c_1646,c_1390]) ).
tcf(c_159344,plain,
v2_membered(sK262),
inference(superposition,[status(thm)],[c_1668,c_1390]) ).
tcf(c_159345,plain,
v2_membered(sK431),
inference(superposition,[status(thm)],[c_2832,c_1390]) ).
tcf(c_159346,plain,
v2_membered(sK436),
inference(superposition,[status(thm)],[c_2857,c_1390]) ).
tcf(c_159353,plain,
v3_membered(sK83),
inference(superposition,[status(thm)],[c_575,c_1391]) ).
tcf(c_159355,plain,
v3_membered(sK85),
inference(superposition,[status(thm)],[c_583,c_1391]) ).
tcf(c_159356,plain,
! [X0: $i] : v3_membered(sK86(X0)),
inference(superposition,[status(thm)],[c_592,c_1391]) ).
tcf(c_159357,plain,
v3_membered(sK89),
inference(superposition,[status(thm)],[c_602,c_1391]) ).
tcf(c_159358,plain,
! [X0: $i] : v3_membered(sK259(X0)),
inference(superposition,[status(thm)],[c_1646,c_1391]) ).
tcf(c_159359,plain,
v3_membered(sK262),
inference(superposition,[status(thm)],[c_1668,c_1391]) ).
tcf(c_159360,plain,
v3_membered(sK431),
inference(superposition,[status(thm)],[c_2832,c_1391]) ).
tcf(c_159361,plain,
v3_membered(sK436),
inference(superposition,[status(thm)],[c_2857,c_1391]) ).
tcf(c_159368,plain,
v4_membered(sK83),
inference(superposition,[status(thm)],[c_575,c_1392]) ).
tcf(c_159370,plain,
v4_membered(sK85),
inference(superposition,[status(thm)],[c_583,c_1392]) ).
tcf(c_159371,plain,
! [X0: $i] : v4_membered(sK86(X0)),
inference(superposition,[status(thm)],[c_592,c_1392]) ).
tcf(c_159372,plain,
v4_membered(sK89),
inference(superposition,[status(thm)],[c_602,c_1392]) ).
tcf(c_159373,plain,
! [X0: $i] : v4_membered(sK259(X0)),
inference(superposition,[status(thm)],[c_1646,c_1392]) ).
tcf(c_159374,plain,
v4_membered(sK262),
inference(superposition,[status(thm)],[c_1668,c_1392]) ).
tcf(c_159375,plain,
v4_membered(sK431),
inference(superposition,[status(thm)],[c_2832,c_1392]) ).
tcf(c_159376,plain,
v4_membered(sK436),
inference(superposition,[status(thm)],[c_2857,c_1392]) ).
tcf(c_159383,plain,
v5_membered(sK83),
inference(superposition,[status(thm)],[c_575,c_1393]) ).
tcf(c_159385,plain,
v5_membered(sK85),
inference(superposition,[status(thm)],[c_583,c_1393]) ).
tcf(c_159386,plain,
! [X0: $i] : v5_membered(sK86(X0)),
inference(superposition,[status(thm)],[c_592,c_1393]) ).
tcf(c_159387,plain,
v5_membered(sK89),
inference(superposition,[status(thm)],[c_602,c_1393]) ).
tcf(c_159388,plain,
! [X0: $i] : v5_membered(sK259(X0)),
inference(superposition,[status(thm)],[c_1646,c_1393]) ).
tcf(c_159389,plain,
v5_membered(sK262),
inference(superposition,[status(thm)],[c_1668,c_1393]) ).
tcf(c_159390,plain,
v5_membered(sK431),
inference(superposition,[status(thm)],[c_2832,c_1393]) ).
tcf(c_159391,plain,
v5_membered(sK436),
inference(superposition,[status(thm)],[c_2857,c_1393]) ).
tcf(c_159456,plain,
! [X0: $i,X1: $i] : k2_zfmisc_1(np__0,k3_tarski(k2_tarski(X0,X1))) = k3_tarski(k2_tarski(np__0,k2_zfmisc_1(np__0,X1))),
inference(superposition,[status(thm)],[c_619,c_474]) ).
tcf(c_159457,plain,
! [X0: $i,X1: $i] : k3_tarski(k2_tarski(np__0,k2_zfmisc_1(X0,X1))) = k2_zfmisc_1(k3_tarski(k2_tarski(np__0,X0)),X1),
inference(superposition,[status(thm)],[c_619,c_473]) ).
tcf(c_159458,plain,
! [X0: $i] :
( ( X0 = np__0 )
| ( k2_zfmisc_1(X0,X0) != np__0 ) ),
inference(superposition,[status(thm)],[c_619,c_617]) ).
tcf(c_159460,plain,
! [X0: $i,X1: $i] : k2_zfmisc_1(np__0,k3_tarski(k2_tarski(X0,X1))) = k3_tarski(k2_tarski(k2_zfmisc_1(np__0,X0),np__0)),
inference(superposition,[status(thm)],[c_619,c_474]) ).
tcf(c_159461,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = np__0 )
| ( X1 = X2 )
| ( X0 = np__0 )
| ( k2_zfmisc_1(X0,X1) != np__0 ) ),
inference(superposition,[status(thm)],[c_619,c_616]) ).
tcf(c_159463,plain,
! [X0: $i,X1: $i] : k3_tarski(k2_tarski(k2_zfmisc_1(X0,X1),np__0)) = k2_zfmisc_1(k3_tarski(k2_tarski(X0,np__0)),X1),
inference(superposition,[status(thm)],[c_619,c_473]) ).
tcf(c_159464,plain,
! [X0: $i,X1: $i,X2: $i] : k3_tarski(k2_tarski(k2_zfmisc_1(k4_xboole_0(np__0,X0),X1),np__0)) = k4_xboole_0(k2_zfmisc_1(np__0,X1),k2_zfmisc_1(X0,X2)),
inference(superposition,[status(thm)],[c_619,c_471]) ).
tcf(c_159467,plain,
! [X0: $i,X1: $i] : k3_tarski(k2_tarski(k2_zfmisc_1(X0,X1),np__0)) = k2_zfmisc_1(X0,X1),
inference(light_normalisation,[status(thm)],[c_159463,c_501]) ).
tcf(c_159468,plain,
! [X0: $i,X1: $i] : k2_zfmisc_1(np__0,k3_tarski(k2_tarski(X0,X1))) = k3_tarski(k1_zfmisc_1(np__0)),
inference(light_normalisation,[status(thm)],[c_159460,c_619,c_47417]) ).
tcf(c_159469,plain,
! [X0: $i,X1: $i,X2: $i] : k4_xboole_0(k2_zfmisc_1(np__0,X0),k2_zfmisc_1(X1,X2)) = k3_tarski(k2_tarski(k2_zfmisc_1(np__0,X0),np__0)),
inference(light_normalisation,[status(thm)],[c_159464,c_1739]) ).
tcf(c_159470,plain,
! [X0: $i,X1: $i] : k4_xboole_0(np__0,k2_zfmisc_1(X0,X1)) = k3_tarski(k1_zfmisc_1(np__0)),
inference(light_normalisation,[status(thm)],[c_159469,c_619,c_47417]) ).
tcf(c_159506,plain,
! [X0: $i,X1: $i] : k3_tarski(k2_tarski(np__0,k2_zfmisc_1(X0,X1))) = k2_zfmisc_1(X0,k3_tarski(k2_tarski(np__0,X1))),
inference(superposition,[status(thm)],[c_620,c_474]) ).
tcf(c_159507,plain,
! [X0: $i,X1: $i] : k2_zfmisc_1(k3_tarski(k2_tarski(X0,X1)),np__0) = k3_tarski(k2_tarski(np__0,k2_zfmisc_1(X1,np__0))),
inference(superposition,[status(thm)],[c_620,c_473]) ).
tcf(c_159510,plain,
! [X0: $i,X1: $i] : k3_tarski(k2_tarski(k2_zfmisc_1(X0,X1),np__0)) = k2_zfmisc_1(X0,k3_tarski(k2_tarski(X1,np__0))),
inference(superposition,[status(thm)],[c_620,c_474]) ).
tcf(c_159512,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = np__0 )
| ( X0 = np__0 )
| ( X0 = X2 )
| ( k2_zfmisc_1(X0,X1) != np__0 ) ),
inference(superposition,[status(thm)],[c_620,c_615]) ).
tcf(c_159513,plain,
! [X0: $i,X1: $i] : k2_zfmisc_1(k3_tarski(k2_tarski(X0,X1)),np__0) = k3_tarski(k2_tarski(k2_zfmisc_1(X0,np__0),np__0)),
inference(superposition,[status(thm)],[c_620,c_473]) ).
tcf(c_159514,plain,
! [X0: $i,X1: $i,X2: $i] : k3_tarski(k2_tarski(np__0,k2_zfmisc_1(X0,k4_xboole_0(np__0,X1)))) = k4_xboole_0(k2_zfmisc_1(X0,np__0),k2_zfmisc_1(X2,X1)),
inference(superposition,[status(thm)],[c_620,c_471]) ).
tcf(c_159515,plain,
! [X0: $i,X1: $i] : k2_zfmisc_1(k3_tarski(k2_tarski(X0,X1)),np__0) = k3_tarski(k1_zfmisc_1(np__0)),
inference(light_normalisation,[status(thm)],[c_159513,c_620,c_47417]) ).
tcf(c_159516,plain,
! [X0: $i,X1: $i,X2: $i] : k3_tarski(k2_tarski(np__0,k2_zfmisc_1(X0,k4_xboole_0(np__0,X1)))) = k4_xboole_0(np__0,k2_zfmisc_1(X2,X1)),
inference(light_normalisation,[status(thm)],[c_159514,c_620]) ).
tcf(c_159530,plain,
v1_finset_1(sK83),
inference(superposition,[status(thm)],[c_575,c_1700]) ).
tcf(c_159531,plain,
v1_finset_1(np__0),
inference(superposition,[status(thm)],[c_3240,c_1700]) ).
tcf(c_159532,plain,
v1_finset_1(sK85),
inference(superposition,[status(thm)],[c_583,c_1700]) ).
tcf(c_159533,plain,
! [X0: $i] : v1_finset_1(sK86(X0)),
inference(superposition,[status(thm)],[c_592,c_1700]) ).
tcf(c_159534,plain,
v1_finset_1(sK89),
inference(superposition,[status(thm)],[c_602,c_1700]) ).
tcf(c_159538,plain,
v1_finset_1(sK436),
inference(superposition,[status(thm)],[c_2857,c_1700]) ).
tcf(c_159540,plain,
! [X0: $i,X1: $i,X2: $i] : r1_tarski(k4_xboole_0(k4_xboole_0(X0,X1),X2),X0),
inference(superposition,[status(thm)],[c_484,c_1734]) ).
tcf(c_159541,plain,
! [X0: $i,X1: $i] : r1_tarski(k4_xboole_0(X0,X1),k3_tarski(k2_tarski(X0,X1))),
inference(superposition,[status(thm)],[c_485,c_1734]) ).
tcf(c_159548,plain,
l1_lattices(sK39),
inference(superposition,[status(thm)],[c_58,c_1916]) ).
tcf(c_159549,plain,
l1_lattices(sK40),
inference(superposition,[status(thm)],[c_59,c_1916]) ).
tcf(c_159550,plain,
l1_lattices(sK181),
inference(superposition,[status(thm)],[c_906,c_1916]) ).
tcf(c_159551,plain,
l1_lattices(sK182),
inference(superposition,[status(thm)],[c_928,c_1916]) ).
tcf(c_159552,plain,
l1_lattices(sK183),
inference(superposition,[status(thm)],[c_942,c_1916]) ).
tcf(c_159553,plain,
l1_lattices(sK191),
inference(superposition,[status(thm)],[c_1049,c_1916]) ).
tcf(c_159554,plain,
l1_lattices(sK192),
inference(superposition,[status(thm)],[c_1060,c_1916]) ).
tcf(c_159555,plain,
l1_lattices(sK193),
inference(superposition,[status(thm)],[c_1070,c_1916]) ).
tcf(c_159556,plain,
l1_lattices(sK194),
inference(superposition,[status(thm)],[c_1073,c_1916]) ).
tcf(c_159561,plain,
l2_lattices(sK39),
inference(superposition,[status(thm)],[c_58,c_1917]) ).
tcf(c_159562,plain,
l2_lattices(sK40),
inference(superposition,[status(thm)],[c_59,c_1917]) ).
tcf(c_159563,plain,
l2_lattices(sK181),
inference(superposition,[status(thm)],[c_906,c_1917]) ).
tcf(c_159564,plain,
l2_lattices(sK182),
inference(superposition,[status(thm)],[c_928,c_1917]) ).
tcf(c_159565,plain,
l2_lattices(sK183),
inference(superposition,[status(thm)],[c_942,c_1917]) ).
tcf(c_159566,plain,
l2_lattices(sK191),
inference(superposition,[status(thm)],[c_1049,c_1917]) ).
tcf(c_159567,plain,
l2_lattices(sK192),
inference(superposition,[status(thm)],[c_1060,c_1917]) ).
tcf(c_159568,plain,
l2_lattices(sK193),
inference(superposition,[status(thm)],[c_1070,c_1917]) ).
tcf(c_159569,plain,
l2_lattices(sK194),
inference(superposition,[status(thm)],[c_1073,c_1917]) ).
tcf(c_159582,plain,
l1_struct_0(sK298),
inference(superposition,[status(thm)],[c_1918,c_1919]) ).
tcf(c_159583,plain,
l1_struct_0(sK39),
inference(superposition,[status(thm)],[c_159561,c_1919]) ).
tcf(c_159588,plain,
l1_struct_0(sK299),
inference(superposition,[status(thm)],[c_1933,c_1934]) ).
tcf(c_159589,plain,
l1_struct_0(sK181),
inference(superposition,[status(thm)],[c_159550,c_1934]) ).
tcf(c_159590,plain,
l1_struct_0(sK182),
inference(superposition,[status(thm)],[c_159551,c_1934]) ).
tcf(c_159591,plain,
l1_struct_0(sK183),
inference(superposition,[status(thm)],[c_159552,c_1934]) ).
tcf(c_159592,plain,
l1_struct_0(sK191),
inference(superposition,[status(thm)],[c_159553,c_1934]) ).
tcf(c_159594,plain,
l1_struct_0(sK40),
inference(superposition,[status(thm)],[c_159549,c_1934]) ).
tcf(c_159599,plain,
v1_realset1(sK83),
inference(superposition,[status(thm)],[c_575,c_2002]) ).
tcf(c_159600,plain,
v1_realset1(np__0),
inference(superposition,[status(thm)],[c_3240,c_2002]) ).
tcf(c_159601,plain,
v1_realset1(sK85),
inference(superposition,[status(thm)],[c_583,c_2002]) ).
tcf(c_159602,plain,
! [X0: $i] : v1_realset1(sK86(X0)),
inference(superposition,[status(thm)],[c_592,c_2002]) ).
tcf(c_159603,plain,
v1_realset1(sK89),
inference(superposition,[status(thm)],[c_602,c_2002]) ).
tcf(c_159604,plain,
! [X0: $i] : v1_realset1(sK259(X0)),
inference(superposition,[status(thm)],[c_1646,c_2002]) ).
tcf(c_159605,plain,
v1_realset1(sK262),
inference(superposition,[status(thm)],[c_1668,c_2002]) ).
tcf(c_159606,plain,
v1_realset1(sK431),
inference(superposition,[status(thm)],[c_2832,c_2002]) ).
tcf(c_159607,plain,
v1_realset1(sK436),
inference(superposition,[status(thm)],[c_2857,c_2002]) ).
tcf(c_159610,plain,
v8_relat_2(np__0),
inference(superposition,[status(thm)],[c_2188,c_3490]) ).
tcf(c_159611,plain,
v3_relat_2(np__0),
inference(superposition,[status(thm)],[c_2188,c_3489]) ).
tcf(c_159614,plain,
v2_funct_1(np__0),
inference(superposition,[status(thm)],[c_2188,c_2166]) ).
tcf(c_159615,plain,
l1_struct_0(sK192),
inference(superposition,[status(thm)],[c_159554,c_1934]) ).
tcf(c_159616,plain,
l1_struct_0(sK193),
inference(superposition,[status(thm)],[c_159555,c_1934]) ).
tcf(c_159617,plain,
l1_struct_0(sK194),
inference(superposition,[status(thm)],[c_159556,c_1934]) ).
tcf(c_159650,plain,
! [X0: $i,X1: $i,X2: $i] : r1_xboole_0(k4_xboole_0(k4_xboole_0(X0,X1),X2),k3_tarski(k2_tarski(X1,X2))),
inference(superposition,[status(thm)],[c_484,c_2450]) ).
tcf(c_159653,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : r1_tarski(k2_tarski(k2_zfmisc_1(k4_xboole_0(X0,X1),X2),k2_zfmisc_1(X0,k4_xboole_0(X2,X3))),k1_zfmisc_1(k4_xboole_0(k2_zfmisc_1(X0,X2),k2_zfmisc_1(X1,X3)))),
inference(superposition,[status(thm)],[c_471,c_2506]) ).
tcf(c_159654,plain,
! [X0: $i,X1: $i,X2: $i] : r1_tarski(k2_tarski(k2_zfmisc_1(X0,X1),k2_zfmisc_1(X0,X2)),k1_zfmisc_1(k2_zfmisc_1(X0,k3_tarski(k2_tarski(X1,X2))))),
inference(superposition,[status(thm)],[c_474,c_2506]) ).
tcf(c_159655,plain,
! [X0: $i,X1: $i,X2: $i] : r1_tarski(k2_tarski(k2_zfmisc_1(X0,X1),k2_zfmisc_1(X2,X1)),k1_zfmisc_1(k2_zfmisc_1(k3_tarski(k2_tarski(X0,X2)),X1))),
inference(superposition,[status(thm)],[c_473,c_2506]) ).
tcf(c_159656,plain,
! [X0: $i,X1: $i,X2: $i] : r1_tarski(k2_tarski(k3_tarski(k2_tarski(X0,X1)),X2),k1_zfmisc_1(k3_tarski(k2_tarski(X0,k3_tarski(k2_tarski(X1,X2)))))),
inference(superposition,[status(thm)],[c_500,c_2506]) ).
tcf(c_159657,plain,
! [X0: $i,X1: $i] : r1_tarski(k2_tarski(X0,k4_xboole_0(X1,X0)),k1_zfmisc_1(k3_tarski(k2_tarski(X0,X1)))),
inference(superposition,[status(thm)],[c_486,c_2506]) ).
tcf(c_159658,plain,
! [X0: $i,X1: $i,X2: $i] : r1_tarski(k2_tarski(k4_xboole_0(X0,X1),k4_xboole_0(X2,X1)),k1_zfmisc_1(k4_xboole_0(k3_tarski(k2_tarski(X0,X2)),X1))),
inference(superposition,[status(thm)],[c_483,c_2506]) ).
tcf(c_159659,plain,
! [X0: $i,X1: $i] : r1_tarski(k2_tarski(X0,k3_tarski(k2_tarski(X0,X1))),k1_zfmisc_1(k3_tarski(k2_tarski(X0,X1)))),
inference(superposition,[status(thm)],[c_498,c_2506]) ).
tcf(c_159660,plain,
! [X0: $i] : r1_tarski(k2_tarski(X0,np__0),k1_zfmisc_1(X0)),
inference(superposition,[status(thm)],[c_501,c_2506]) ).
tcf(c_159669,plain,
r1_tarski(np__0,k1_zfmisc_1(np__0)),
inference(superposition,[status(thm)],[c_2516,c_2506]) ).
tcf(c_159670,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : r1_tarski(k1_setfam_1(k2_tarski(k2_zfmisc_1(k4_xboole_0(X0,X1),X2),k2_zfmisc_1(X0,k4_xboole_0(X2,X3)))),k4_xboole_0(k2_zfmisc_1(X0,X2),k2_zfmisc_1(X1,X3))),
inference(superposition,[status(thm)],[c_471,c_2542]) ).
tcf(c_159671,plain,
! [X0: $i,X1: $i,X2: $i] : r1_tarski(k1_setfam_1(k2_tarski(k2_zfmisc_1(X0,X1),k2_zfmisc_1(X0,X2))),k2_zfmisc_1(X0,k3_tarski(k2_tarski(X1,X2)))),
inference(superposition,[status(thm)],[c_474,c_2542]) ).
tcf(c_159672,plain,
! [X0: $i,X1: $i,X2: $i] : r1_tarski(k1_setfam_1(k2_tarski(k2_zfmisc_1(X0,X1),k2_zfmisc_1(X2,X1))),k2_zfmisc_1(k3_tarski(k2_tarski(X0,X2)),X1)),
inference(superposition,[status(thm)],[c_473,c_2542]) ).
tcf(c_159673,plain,
! [X0: $i,X1: $i,X2: $i] : r1_tarski(k1_setfam_1(k2_tarski(k3_tarski(k2_tarski(X0,X1)),X2)),k3_tarski(k2_tarski(X0,k3_tarski(k2_tarski(X1,X2))))),
inference(superposition,[status(thm)],[c_500,c_2542]) ).
tcf(c_159674,plain,
! [X0: $i,X1: $i] : r1_tarski(k1_setfam_1(k2_tarski(X0,k4_xboole_0(X1,X0))),k3_tarski(k2_tarski(X0,X1))),
inference(superposition,[status(thm)],[c_486,c_2542]) ).
tcf(c_159675,plain,
! [X0: $i,X1: $i,X2: $i] : r1_tarski(k1_setfam_1(k2_tarski(k4_xboole_0(X0,X1),k4_xboole_0(X2,X1))),k4_xboole_0(k3_tarski(k2_tarski(X0,X2)),X1)),
inference(superposition,[status(thm)],[c_483,c_2542]) ).
tcf(c_159676,plain,
! [X0: $i,X1: $i] : r1_tarski(k1_setfam_1(k2_tarski(X0,k3_tarski(k2_tarski(X0,X1)))),k3_tarski(k2_tarski(X0,X1))),
inference(superposition,[status(thm)],[c_498,c_2542]) ).
tcf(c_159677,plain,
! [X0: $i] : r1_tarski(k1_setfam_1(k2_tarski(X0,np__0)),X0),
inference(superposition,[status(thm)],[c_501,c_2542]) ).
tcf(c_159678,plain,
! [X0: $i] : r1_tarski(k1_setfam_1(k2_tarski(X0,X0)),X0),
inference(superposition,[status(thm)],[c_502,c_2542]) ).
tcf(c_159679,plain,
r1_tarski(k1_setfam_1(np__0),np__0),
inference(superposition,[status(thm)],[c_2516,c_2542]) ).
tcf(c_159680,plain,
r1_tarski(np__0,np__0),
inference(light_normalisation,[status(thm)],[c_159679,c_2551]) ).
tcf(c_159690,plain,
r1_tarski(np__0,k3_tarski(np__0)),
inference(superposition,[status(thm)],[c_2551,c_2542]) ).
tcf(c_159708,plain,
v1_xcmplx_0(sK415),
inference(superposition,[status(thm)],[c_2717,c_2715]) ).
tcf(c_159714,plain,
v1_xreal_0(sK415),
inference(superposition,[status(thm)],[c_2717,c_2716]) ).
tcf(c_159727,plain,
v1_partfun1(np__0,np__0,np__0),
inference(superposition,[status(thm)],[c_2188,c_3498]) ).
tcf(c_159728,plain,
m2_relset_1(np__0,np__0,np__0),
inference(superposition,[status(thm)],[c_2188,c_3499]) ).
tcf(c_159733,plain,
v2_funct_1(sK83),
inference(superposition,[status(thm)],[c_575,c_6810]) ).
tcf(c_159735,plain,
v2_funct_1(sK85),
inference(superposition,[status(thm)],[c_583,c_6810]) ).
tcf(c_159736,plain,
! [X0: $i] : v2_funct_1(sK86(X0)),
inference(superposition,[status(thm)],[c_592,c_6810]) ).
tcf(c_159737,plain,
v2_funct_1(sK89),
inference(superposition,[status(thm)],[c_602,c_6810]) ).
tcf(c_159738,plain,
! [X0: $i] : v2_funct_1(sK259(X0)),
inference(superposition,[status(thm)],[c_1646,c_6810]) ).
tcf(c_159766,plain,
~ iPr_def_40,
inference(global_subsumption_just,[status(thm)],[c_120061,c_3240,c_1396,c_4188,c_4221,c_120449]) ).
tcf(c_159792,plain,
! [X0: $i,X1: $i] : k4_xboole_0(np__0,k2_zfmisc_1(X0,X1)) = k2_zfmisc_1(k4_xboole_0(np__0,X0),X1),
inference(superposition,[status(thm)],[c_619,c_1713]) ).
tcf(c_159793,plain,
! [X0: $i,X1: $i] : k2_zfmisc_1(k4_xboole_0(X0,X1),np__0) = k4_xboole_0(np__0,k2_zfmisc_1(X1,np__0)),
inference(superposition,[status(thm)],[c_620,c_1713]) ).
tcf(c_159794,plain,
! [X0: $i,X1: $i] : k4_xboole_0(k2_zfmisc_1(X0,X1),np__0) = k2_zfmisc_1(k4_xboole_0(X0,np__0),X1),
inference(superposition,[status(thm)],[c_619,c_1713]) ).
tcf(c_159795,plain,
! [X0: $i,X1: $i] : k2_zfmisc_1(k4_xboole_0(X0,X1),np__0) = k4_xboole_0(k2_zfmisc_1(X0,np__0),np__0),
inference(superposition,[status(thm)],[c_620,c_1713]) ).
tcf(c_159796,plain,
! [X0: $i,X1: $i,X2: $i] : r1_xboole_0(k2_zfmisc_1(k4_xboole_0(X0,X1),X2),k2_zfmisc_1(X1,X2)),
inference(superposition,[status(thm)],[c_1713,c_2450]) ).
tcf(c_159797,plain,
! [X0: $i,X1: $i,X2: $i] : r1_tarski(k2_zfmisc_1(k4_xboole_0(X0,X1),X2),k2_zfmisc_1(X0,X2)),
inference(superposition,[status(thm)],[c_1713,c_1734]) ).
tcf(c_159798,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : k3_tarski(k2_tarski(k2_zfmisc_1(k4_xboole_0(X0,X1),X2),k4_xboole_0(X3,k2_zfmisc_1(X1,X2)))) = k4_xboole_0(k3_tarski(k2_tarski(k2_zfmisc_1(X0,X2),X3)),k2_zfmisc_1(X1,X2)),
inference(superposition,[status(thm)],[c_1713,c_483]) ).
tcf(c_159799,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : k3_tarski(k2_tarski(k2_zfmisc_1(k2_zfmisc_1(k4_xboole_0(X0,X1),X2),X3),k2_zfmisc_1(k2_zfmisc_1(X0,X2),k4_xboole_0(X3,X4)))) = k4_xboole_0(k2_zfmisc_1(k2_zfmisc_1(X0,X2),X3),k2_zfmisc_1(k2_zfmisc_1(X1,X2),X4)),
inference(superposition,[status(thm)],[c_1713,c_471]) ).
tcf(c_159800,plain,
! [X0: $i,X1: $i,X2: $i] : k3_tarski(k2_tarski(k2_zfmisc_1(X0,X1),k2_zfmisc_1(k4_xboole_0(X2,X0),X1))) = k3_tarski(k2_tarski(k2_zfmisc_1(X0,X1),k2_zfmisc_1(X2,X1))),
inference(superposition,[status(thm)],[c_1713,c_486]) ).
tcf(c_159801,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : k3_tarski(k2_tarski(k2_zfmisc_1(k4_xboole_0(X0,X1),k2_zfmisc_1(X2,X3)),k2_zfmisc_1(X0,k2_zfmisc_1(k4_xboole_0(X2,X4),X3)))) = k4_xboole_0(k2_zfmisc_1(X0,k2_zfmisc_1(X2,X3)),k2_zfmisc_1(X1,k2_zfmisc_1(X4,X3))),
inference(superposition,[status(thm)],[c_1713,c_471]) ).
tcf(c_159802,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : k3_tarski(k2_tarski(k4_xboole_0(X0,k2_zfmisc_1(X1,X2)),k2_zfmisc_1(k4_xboole_0(X3,X1),X2))) = k4_xboole_0(k3_tarski(k2_tarski(X0,k2_zfmisc_1(X3,X2))),k2_zfmisc_1(X1,X2)),
inference(superposition,[status(thm)],[c_1713,c_483]) ).
tcf(c_159803,plain,
! [X0: $i,X1: $i] : k2_zfmisc_1(k4_xboole_0(X0,X1),np__0) = k4_xboole_0(np__0,np__0),
inference(light_normalisation,[status(thm)],[c_159795,c_620]) ).
tcf(c_159804,plain,
! [X0: $i,X1: $i] : k4_xboole_0(k2_zfmisc_1(X0,X1),np__0) = k2_zfmisc_1(X0,X1),
inference(light_normalisation,[status(thm)],[c_159794,c_1740]) ).
tcf(c_159805,plain,
! [X0: $i] : k2_zfmisc_1(np__0,X0) = k3_tarski(k1_zfmisc_1(np__0)),
inference(light_normalisation,[status(thm)],[c_159792,c_1739,c_159470]) ).
tcf(c_159806,plain,
k3_tarski(k1_zfmisc_1(np__0)) = np__0,
inference(light_normalisation,[status(thm)],[c_159805,c_619]) ).
tcf(c_159807,plain,
! [X0: $i,X1: $i,X2: $i] : k3_tarski(k2_tarski(k2_zfmisc_1(X0,X1),k2_zfmisc_1(k4_xboole_0(X2,X0),X1))) = k2_zfmisc_1(k3_tarski(k2_tarski(X0,X2)),X1),
inference(light_normalisation,[status(thm)],[c_159800,c_473]) ).
tcf(c_159830,plain,
! [X0: $i] :
( v2_funct_1(k1_pre_topc(X0))
| ~ l1_struct_0(X0) ),
inference(superposition,[status(thm)],[c_328,c_6810]) ).
tcf(c_159831,plain,
! [X0: $i] :
( v1_realset1(k1_pre_topc(X0))
| ~ l1_struct_0(X0) ),
inference(superposition,[status(thm)],[c_328,c_2002]) ).
tcf(c_159832,plain,
! [X0: $i] :
( v1_finset_1(k1_pre_topc(X0))
| ~ l1_struct_0(X0) ),
inference(superposition,[status(thm)],[c_328,c_1700]) ).
tcf(c_159838,plain,
! [X0: $i] :
( v1_relat_1(k1_pre_topc(X0))
| ~ l1_struct_0(X0) ),
inference(superposition,[status(thm)],[c_328,c_582]) ).
tcf(c_159839,plain,
! [X0: $i] :
( v1_funct_1(k1_pre_topc(X0))
| ~ l1_struct_0(X0) ),
inference(superposition,[status(thm)],[c_328,c_577]) ).
tcf(c_159879,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : r1_tarski(k2_zfmisc_1(k4_xboole_0(X0,X1),X2),k4_xboole_0(k2_zfmisc_1(X0,X2),k2_zfmisc_1(X1,X3))),
inference(superposition,[status(thm)],[c_471,c_497]) ).
tcf(c_159880,plain,
! [X0: $i,X1: $i,X2: $i] : r1_tarski(k2_zfmisc_1(X0,X1),k2_zfmisc_1(X0,k3_tarski(k2_tarski(X1,X2)))),
inference(superposition,[status(thm)],[c_474,c_497]) ).
tcf(c_159881,plain,
! [X0: $i,X1: $i,X2: $i] : r1_tarski(k2_zfmisc_1(X0,X1),k2_zfmisc_1(k3_tarski(k2_tarski(X0,X2)),X1)),
inference(superposition,[status(thm)],[c_473,c_497]) ).
tcf(c_159882,plain,
! [X0: $i,X1: $i,X2: $i] : r1_tarski(k3_tarski(k2_tarski(X0,X1)),k3_tarski(k2_tarski(X0,k3_tarski(k2_tarski(X1,X2))))),
inference(superposition,[status(thm)],[c_500,c_497]) ).
tcf(c_159884,plain,
! [X0: $i,X1: $i,X2: $i] : r1_tarski(k4_xboole_0(X0,X1),k4_xboole_0(k3_tarski(k2_tarski(X0,X2)),X1)),
inference(superposition,[status(thm)],[c_483,c_497]) ).
tcf(c_159902,plain,
! [X0: $i] :
( v2_funct_1(k2_relat_1(X0))
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_744,c_6810]) ).
tcf(c_159903,plain,
! [X0: $i] :
( v1_realset1(k2_relat_1(X0))
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_744,c_2002]) ).
tcf(c_159904,plain,
! [X0: $i] :
( v1_finset_1(k2_relat_1(X0))
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_744,c_1700]) ).
tcf(c_159905,plain,
! [X0: $i] :
( v5_membered(k2_relat_1(X0))
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_744,c_1393]) ).
tcf(c_159906,plain,
! [X0: $i] :
( v4_membered(k2_relat_1(X0))
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_744,c_1392]) ).
tcf(c_159907,plain,
! [X0: $i] :
( v3_membered(k2_relat_1(X0))
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_744,c_1391]) ).
tcf(c_159908,plain,
! [X0: $i] :
( v2_membered(k2_relat_1(X0))
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_744,c_1390]) ).
tcf(c_159909,plain,
! [X0: $i] :
( v1_membered(k2_relat_1(X0))
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_744,c_1389]) ).
tcf(c_159911,plain,
! [X0: $i] :
( v1_funct_1(k2_relat_1(X0))
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_744,c_577]) ).
tcf(c_159948,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(X0)
| ( X0 = np__0 )
| ~ v1_xboole_0(sK46(X0,X1)) ),
inference(superposition,[status(thm)],[c_102,c_750]) ).
tcf(c_159949,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| ( X0 = np__0 )
| ~ v1_xboole_0(sK111(X0)) ),
inference(superposition,[status(thm)],[c_688,c_750]) ).
tcf(c_159950,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| ( X0 = np__0 )
| ~ v1_xboole_0(sK112(X0)) ),
inference(superposition,[status(thm)],[c_689,c_750]) ).
tcf(c_159951,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(X1)
| ( X0 = np__0 )
| ~ v1_xboole_0(sK115(X0,X1)) ),
inference(superposition,[status(thm)],[c_718,c_750]) ).
tcf(c_159954,plain,
! [X0: $i] :
( v2_funct_1(k1_relat_1(X0))
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_750,c_6810]) ).
tcf(c_159955,plain,
! [X0: $i] :
( v1_realset1(k1_relat_1(X0))
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_750,c_2002]) ).
tcf(c_159956,plain,
! [X0: $i] :
( v1_finset_1(k1_relat_1(X0))
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_750,c_1700]) ).
tcf(c_159957,plain,
! [X0: $i] :
( v5_membered(k1_relat_1(X0))
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_750,c_1393]) ).
tcf(c_159958,plain,
! [X0: $i] :
( v4_membered(k1_relat_1(X0))
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_750,c_1392]) ).
tcf(c_159959,plain,
! [X0: $i] :
( v3_membered(k1_relat_1(X0))
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_750,c_1391]) ).
tcf(c_159960,plain,
! [X0: $i] :
( v2_membered(k1_relat_1(X0))
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_750,c_1390]) ).
tcf(c_159961,plain,
! [X0: $i] :
( v1_membered(k1_relat_1(X0))
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_750,c_1389]) ).
tcf(c_159963,plain,
! [X0: $i] :
( v1_funct_1(k1_relat_1(X0))
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_750,c_577]) ).
tcf(c_160007,plain,
! [X0: $i,X1: $i] :
( v1_relat_1(X0)
| ( X0 = np__0 )
| ~ v1_xboole_0(sK46(X0,X1)) ),
inference(superposition,[status(thm)],[c_102,c_751]) ).
tcf(c_160008,plain,
! [X0: $i] :
( v1_relat_1(X0)
| ( X0 = np__0 )
| ~ v1_xboole_0(sK111(X0)) ),
inference(superposition,[status(thm)],[c_688,c_751]) ).
tcf(c_160009,plain,
! [X0: $i] :
( v1_relat_1(X0)
| ( X0 = np__0 )
| ~ v1_xboole_0(sK112(X0)) ),
inference(superposition,[status(thm)],[c_689,c_751]) ).
tcf(c_160010,plain,
! [X0: $i,X1: $i] :
( v1_relat_1(X1)
| ( X0 = np__0 )
| ~ v1_xboole_0(sK115(X0,X1)) ),
inference(superposition,[status(thm)],[c_718,c_751]) ).
tcf(c_160026,plain,
! [X0: $i,X1: $i] : k2_zfmisc_1(np__0,k4_xboole_0(X0,X1)) = k4_xboole_0(np__0,k2_zfmisc_1(np__0,X1)),
inference(superposition,[status(thm)],[c_619,c_1714]) ).
tcf(c_160027,plain,
! [X0: $i,X1: $i] : k4_xboole_0(np__0,k2_zfmisc_1(X0,X1)) = k2_zfmisc_1(X0,k4_xboole_0(np__0,X1)),
inference(superposition,[status(thm)],[c_620,c_1714]) ).
tcf(c_160028,plain,
! [X0: $i,X1: $i] : k2_zfmisc_1(np__0,k4_xboole_0(X0,X1)) = k4_xboole_0(k2_zfmisc_1(np__0,X0),np__0),
inference(superposition,[status(thm)],[c_619,c_1714]) ).
tcf(c_160029,plain,
! [X0: $i,X1: $i] : k4_xboole_0(k2_zfmisc_1(X0,X1),np__0) = k2_zfmisc_1(X0,k4_xboole_0(X1,np__0)),
inference(superposition,[status(thm)],[c_620,c_1714]) ).
tcf(c_160030,plain,
! [X0: $i,X1: $i,X2: $i] : r1_xboole_0(k2_zfmisc_1(X0,k4_xboole_0(X1,X2)),k2_zfmisc_1(X0,X2)),
inference(superposition,[status(thm)],[c_1714,c_2450]) ).
tcf(c_160031,plain,
! [X0: $i,X1: $i,X2: $i] : r1_tarski(k2_zfmisc_1(X0,k4_xboole_0(X1,X2)),k2_zfmisc_1(X0,X1)),
inference(superposition,[status(thm)],[c_1714,c_1734]) ).
tcf(c_160032,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : k3_tarski(k2_tarski(k2_zfmisc_1(X0,k4_xboole_0(X1,X2)),k4_xboole_0(X3,k2_zfmisc_1(X0,X2)))) = k4_xboole_0(k3_tarski(k2_tarski(k2_zfmisc_1(X0,X1),X3)),k2_zfmisc_1(X0,X2)),
inference(superposition,[status(thm)],[c_1714,c_483]) ).
tcf(c_160033,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : k3_tarski(k2_tarski(k2_zfmisc_1(k2_zfmisc_1(X0,k4_xboole_0(X1,X2)),X3),k2_zfmisc_1(k2_zfmisc_1(X0,X1),k4_xboole_0(X3,X4)))) = k4_xboole_0(k2_zfmisc_1(k2_zfmisc_1(X0,X1),X3),k2_zfmisc_1(k2_zfmisc_1(X0,X2),X4)),
inference(superposition,[status(thm)],[c_1714,c_471]) ).
tcf(c_160034,plain,
! [X0: $i,X1: $i,X2: $i] : k3_tarski(k2_tarski(k2_zfmisc_1(X0,X1),k2_zfmisc_1(X0,k4_xboole_0(X2,X1)))) = k3_tarski(k2_tarski(k2_zfmisc_1(X0,X1),k2_zfmisc_1(X0,X2))),
inference(superposition,[status(thm)],[c_1714,c_486]) ).
tcf(c_160035,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : k3_tarski(k2_tarski(k2_zfmisc_1(k4_xboole_0(X0,X1),k2_zfmisc_1(X2,X3)),k2_zfmisc_1(X0,k2_zfmisc_1(X2,k4_xboole_0(X3,X4))))) = k4_xboole_0(k2_zfmisc_1(X0,k2_zfmisc_1(X2,X3)),k2_zfmisc_1(X1,k2_zfmisc_1(X2,X4))),
inference(superposition,[status(thm)],[c_1714,c_471]) ).
tcf(c_160036,plain,
! [X0: $i,X1: $i] : k2_zfmisc_1(k4_xboole_0(X0,X0),X1) = k2_zfmisc_1(X0,k4_xboole_0(X1,X1)),
inference(superposition,[status(thm)],[c_1714,c_1713]) ).
tcf(c_160037,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : k3_tarski(k2_tarski(k4_xboole_0(X0,k2_zfmisc_1(X1,X2)),k2_zfmisc_1(X1,k4_xboole_0(X3,X2)))) = k4_xboole_0(k3_tarski(k2_tarski(X0,k2_zfmisc_1(X1,X3))),k2_zfmisc_1(X1,X2)),
inference(superposition,[status(thm)],[c_1714,c_483]) ).
tcf(c_160038,plain,
! [X0: $i,X1: $i] : k2_zfmisc_1(X0,k4_xboole_0(X1,X1)) = k2_zfmisc_1(np__0,X1),
inference(light_normalisation,[status(thm)],[c_160036,c_45740]) ).
tcf(c_160039,plain,
! [X0: $i,X1: $i] : k2_zfmisc_1(X0,k4_xboole_0(X1,np__0)) = k2_zfmisc_1(X0,X1),
inference(light_normalisation,[status(thm)],[c_160029,c_159804]) ).
tcf(c_160040,plain,
! [X0: $i,X1: $i] : k2_zfmisc_1(np__0,k4_xboole_0(X0,X1)) = k4_xboole_0(np__0,np__0),
inference(light_normalisation,[status(thm)],[c_160028,c_619]) ).
tcf(c_160041,plain,
! [X0: $i,X1: $i] : k2_zfmisc_1(X0,k4_xboole_0(np__0,X1)) = np__0,
inference(light_normalisation,[status(thm)],[c_160027,c_159806,c_159470]) ).
tcf(c_160042,plain,
! [X0: $i,X1: $i,X2: $i] : k3_tarski(k2_tarski(k2_zfmisc_1(X0,X1),k2_zfmisc_1(X0,k4_xboole_0(X2,X1)))) = k2_zfmisc_1(X0,k3_tarski(k2_tarski(X1,X2))),
inference(light_normalisation,[status(thm)],[c_160034,c_474]) ).
tcf(c_160103,plain,
! [X0: $i] :
( l2_lattices(k1_lattice2(X0))
| ~ l3_lattices(X0) ),
inference(superposition,[status(thm)],[c_1035,c_1917]) ).
tcf(c_160104,plain,
! [X0: $i] :
( l1_lattices(k1_lattice2(X0))
| ~ l3_lattices(X0) ),
inference(superposition,[status(thm)],[c_1035,c_1916]) ).
tcf(c_160135,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k2_zfmisc_1(X0,X1) = k2_zfmisc_1(X2,X1) )
| ( k4_xboole_0(k2_zfmisc_1(X0,X1),k2_zfmisc_1(X2,X1)) != k2_zfmisc_1(k4_xboole_0(X2,X0),X1) ) ),
inference(superposition,[status(thm)],[c_1713,c_1738]) ).
tcf(c_160136,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k2_zfmisc_1(X0,X1) = k2_zfmisc_1(X0,X2) )
| ( k4_xboole_0(k2_zfmisc_1(X0,X1),k2_zfmisc_1(X0,X2)) != k2_zfmisc_1(X0,k4_xboole_0(X2,X1)) ) ),
inference(superposition,[status(thm)],[c_1714,c_1738]) ).
tcf(c_160137,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k3_tarski(k2_tarski(X0,X1)) = X2 )
| ( k4_xboole_0(k3_tarski(k2_tarski(X0,X1)),X2) != k4_xboole_0(k4_xboole_0(X2,X0),X1) ) ),
inference(superposition,[status(thm)],[c_484,c_1738]) ).
tcf(c_160138,plain,
! [X0: $i,X1: $i] :
( ( k3_tarski(k2_tarski(X1,X0)) = X0 )
| ( k4_xboole_0(X0,k3_tarski(k2_tarski(X1,X0))) != k4_xboole_0(X1,X0) ) ),
inference(superposition,[status(thm)],[c_485,c_1738]) ).
tcf(c_160144,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k2_zfmisc_1(X0,X1) = k2_zfmisc_1(X0,X2) )
| ( k2_zfmisc_1(X0,k4_xboole_0(X1,X2)) != k2_zfmisc_1(X0,k4_xboole_0(X2,X1)) ) ),
inference(light_normalisation,[status(thm)],[c_160136,c_1714]) ).
tcf(c_160147,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k2_zfmisc_1(X0,X2) = k2_zfmisc_1(X1,X2) )
| ( k2_zfmisc_1(k4_xboole_0(X0,X1),X2) != k2_zfmisc_1(k4_xboole_0(X1,X0),X2) ) ),
inference(light_normalisation,[status(thm)],[c_160135,c_1713]) ).
tcf(c_160222,plain,
! [X0: $i] : r1_xboole_0(np__0,X0),
inference(superposition,[status(thm)],[c_1739,c_2450]) ).
tcf(c_160224,plain,
! [X0: $i,X1: $i] : k3_tarski(k2_tarski(np__0,k4_xboole_0(X0,X1))) = k4_xboole_0(k3_tarski(k2_tarski(np__0,X0)),X1),
inference(superposition,[status(thm)],[c_1739,c_483]) ).
tcf(c_160225,plain,
! [X0: $i,X1: $i,X2: $i] : k3_tarski(k2_tarski(k2_zfmisc_1(np__0,X0),k2_zfmisc_1(np__0,k4_xboole_0(X0,X1)))) = k4_xboole_0(k2_zfmisc_1(np__0,X0),k2_zfmisc_1(X2,X1)),
inference(superposition,[status(thm)],[c_1739,c_471]) ).
tcf(c_160226,plain,
! [X0: $i] :
( ( X0 = np__0 )
| ( k4_xboole_0(X0,np__0) != np__0 ) ),
inference(superposition,[status(thm)],[c_1739,c_1738]) ).
tcf(c_160227,plain,
! [X0: $i,X1: $i,X2: $i] : k3_tarski(k2_tarski(k2_zfmisc_1(k4_xboole_0(X0,X1),np__0),k2_zfmisc_1(X0,np__0))) = k4_xboole_0(k2_zfmisc_1(X0,np__0),k2_zfmisc_1(X1,X2)),
inference(superposition,[status(thm)],[c_1739,c_471]) ).
tcf(c_160228,plain,
! [X0: $i,X1: $i] : k3_tarski(k2_tarski(k4_xboole_0(X0,X1),np__0)) = k4_xboole_0(k3_tarski(k2_tarski(X0,np__0)),X1),
inference(superposition,[status(thm)],[c_1739,c_483]) ).
tcf(c_160229,plain,
! [X0: $i,X1: $i] : k4_xboole_0(k4_xboole_0(np__0,X0),X1) = np__0,
inference(superposition,[status(thm)],[c_1739,c_484]) ).
tcf(c_160232,plain,
! [X0: $i,X1: $i] : k3_tarski(k2_tarski(k4_xboole_0(X0,X1),np__0)) = k4_xboole_0(X0,X1),
inference(light_normalisation,[status(thm)],[c_160228,c_501]) ).
tcf(c_160233,plain,
! [X0: $i,X1: $i] : k3_tarski(k2_tarski(k4_xboole_0(np__0,np__0),np__0)) = k4_xboole_0(np__0,k2_zfmisc_1(X0,X1)),
inference(light_normalisation,[status(thm)],[c_160227,c_620,c_159803]) ).
tcf(c_160234,plain,
k3_tarski(k2_tarski(k4_xboole_0(np__0,np__0),np__0)) = np__0,
inference(light_normalisation,[status(thm)],[c_160233,c_159806,c_159470]) ).
tcf(c_160235,plain,
! [X0: $i,X1: $i] : k3_tarski(k2_tarski(np__0,k4_xboole_0(np__0,np__0))) = k4_xboole_0(np__0,k2_zfmisc_1(X0,X1)),
inference(light_normalisation,[status(thm)],[c_160225,c_619,c_160040]) ).
tcf(c_160236,plain,
k3_tarski(k2_tarski(np__0,k4_xboole_0(np__0,np__0))) = np__0,
inference(light_normalisation,[status(thm)],[c_160235,c_159806,c_159470]) ).
tcf(c_160282,plain,
! [X0: $i,X1: $i] : k3_tarski(k2_tarski(X0,k4_xboole_0(X1,np__0))) = k4_xboole_0(k3_tarski(k2_tarski(X0,X1)),np__0),
inference(superposition,[status(thm)],[c_1740,c_483]) ).
tcf(c_160283,plain,
! [X0: $i,X1: $i,X2: $i] : k3_tarski(k2_tarski(k2_zfmisc_1(X0,X1),k2_zfmisc_1(X0,k4_xboole_0(X1,X2)))) = k4_xboole_0(k2_zfmisc_1(X0,X1),k2_zfmisc_1(np__0,X2)),
inference(superposition,[status(thm)],[c_1740,c_471]) ).
tcf(c_160284,plain,
! [X0: $i] :
( ( X0 = np__0 )
| ( k4_xboole_0(np__0,X0) != X0 ) ),
inference(superposition,[status(thm)],[c_1740,c_1738]) ).
tcf(c_160285,plain,
! [X0: $i,X1: $i,X2: $i] : k3_tarski(k2_tarski(k2_zfmisc_1(k4_xboole_0(X0,X1),X2),k2_zfmisc_1(X0,X2))) = k4_xboole_0(k2_zfmisc_1(X0,X2),k2_zfmisc_1(X1,np__0)),
inference(superposition,[status(thm)],[c_1740,c_471]) ).
tcf(c_160286,plain,
! [X0: $i,X1: $i] : k3_tarski(k2_tarski(k4_xboole_0(X0,np__0),X1)) = k4_xboole_0(k3_tarski(k2_tarski(X0,X1)),np__0),
inference(superposition,[status(thm)],[c_1740,c_483]) ).
tcf(c_160287,plain,
! [X0: $i] : k3_tarski(k2_tarski(X0,np__0)) = k4_xboole_0(X0,np__0),
inference(superposition,[status(thm)],[c_1740,c_485]) ).
tcf(c_160290,plain,
! [X0: $i,X1: $i] : k4_xboole_0(k3_tarski(k2_tarski(X0,X1)),np__0) = k3_tarski(k2_tarski(X0,X1)),
inference(light_normalisation,[status(thm)],[c_160286,c_1740]) ).
tcf(c_160308,plain,
! [X0: $i] :
( v1_relat_1(X0)
| ~ v1_xboole_0(k6_partfun1(X0)) ),
inference(superposition,[status(thm)],[c_2203,c_751]) ).
tcf(c_160309,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| ~ v1_xboole_0(k6_partfun1(X0)) ),
inference(superposition,[status(thm)],[c_2203,c_750]) ).
tcf(c_160314,plain,
r1_tarski(np__0,k2_zfmisc_1(np__0,np__0)),
inference(superposition,[status(thm)],[c_2188,c_2163]) ).
tcf(c_160315,plain,
r1_tarski(k6_partfun1(np__0),np__0),
inference(superposition,[status(thm)],[c_619,c_2163]) ).
tcf(c_160325,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v1_finset_1(k2_tarski(k2_zfmisc_1(k4_xboole_0(X0,X2),X1),k2_zfmisc_1(X0,k4_xboole_0(X1,X3))))
| ~ v1_finset_1(k4_xboole_0(k2_zfmisc_1(X0,X1),k2_zfmisc_1(X2,X3))) ),
inference(superposition,[status(thm)],[c_471,c_2497]) ).
tcf(c_160326,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_finset_1(k2_tarski(k2_zfmisc_1(X0,X1),k2_zfmisc_1(X0,X2)))
| ~ v1_finset_1(k2_zfmisc_1(X0,k3_tarski(k2_tarski(X1,X2)))) ),
inference(superposition,[status(thm)],[c_474,c_2497]) ).
tcf(c_160327,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_finset_1(k2_tarski(k2_zfmisc_1(X0,X2),k2_zfmisc_1(X1,X2)))
| ~ v1_finset_1(k2_zfmisc_1(k3_tarski(k2_tarski(X0,X1)),X2)) ),
inference(superposition,[status(thm)],[c_473,c_2497]) ).
tcf(c_160328,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_finset_1(k2_tarski(k3_tarski(k2_tarski(X0,X1)),X2))
| ~ v1_finset_1(k3_tarski(k2_tarski(X0,k3_tarski(k2_tarski(X1,X2))))) ),
inference(superposition,[status(thm)],[c_500,c_2497]) ).
tcf(c_160329,plain,
! [X0: $i,X1: $i] :
( v1_finset_1(k2_tarski(X0,k4_xboole_0(X1,X0)))
| ~ v1_finset_1(k3_tarski(k2_tarski(X0,X1))) ),
inference(superposition,[status(thm)],[c_486,c_2497]) ).
tcf(c_160330,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_finset_1(k2_tarski(k4_xboole_0(X0,X2),k4_xboole_0(X1,X2)))
| ~ v1_finset_1(k4_xboole_0(k3_tarski(k2_tarski(X0,X1)),X2)) ),
inference(superposition,[status(thm)],[c_483,c_2497]) ).
tcf(c_160331,plain,
! [X0: $i,X1: $i] :
( v1_finset_1(k2_tarski(X0,k3_tarski(k2_tarski(X0,X1))))
| ~ v1_finset_1(k3_tarski(k2_tarski(X0,X1))) ),
inference(superposition,[status(thm)],[c_498,c_2497]) ).
tcf(c_160332,plain,
! [X0: $i] :
( v1_finset_1(k2_tarski(X0,np__0))
| ~ v1_finset_1(X0) ),
inference(superposition,[status(thm)],[c_501,c_2497]) ).
tcf(c_160333,plain,
! [X0: $i] :
( v1_finset_1(k2_tarski(X0,X0))
| ~ v1_finset_1(X0) ),
inference(superposition,[status(thm)],[c_502,c_2497]) ).
tcf(c_160339,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v3_ordinal1(k4_xboole_0(k2_zfmisc_1(X0,X2),k2_zfmisc_1(X1,X3)))
| ~ v3_ordinal1(k2_tarski(k2_zfmisc_1(k4_xboole_0(X0,X1),X2),k2_zfmisc_1(X0,k4_xboole_0(X2,X3)))) ),
inference(superposition,[status(thm)],[c_471,c_2504]) ).
tcf(c_160340,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_ordinal1(k2_zfmisc_1(X0,k3_tarski(k2_tarski(X1,X2))))
| ~ v3_ordinal1(k2_tarski(k2_zfmisc_1(X0,X1),k2_zfmisc_1(X0,X2))) ),
inference(superposition,[status(thm)],[c_474,c_2504]) ).
tcf(c_160341,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_ordinal1(k2_zfmisc_1(k3_tarski(k2_tarski(X0,X2)),X1))
| ~ v3_ordinal1(k2_tarski(k2_zfmisc_1(X0,X1),k2_zfmisc_1(X2,X1))) ),
inference(superposition,[status(thm)],[c_473,c_2504]) ).
tcf(c_160342,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_ordinal1(k3_tarski(k2_tarski(X0,k3_tarski(k2_tarski(X1,X2)))))
| ~ v3_ordinal1(k2_tarski(k3_tarski(k2_tarski(X0,X1)),X2)) ),
inference(superposition,[status(thm)],[c_500,c_2504]) ).
tcf(c_160343,plain,
! [X0: $i,X1: $i] :
( v3_ordinal1(k3_tarski(k2_tarski(X0,X1)))
| ~ v3_ordinal1(k2_tarski(X0,k4_xboole_0(X1,X0))) ),
inference(superposition,[status(thm)],[c_486,c_2504]) ).
tcf(c_160344,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_ordinal1(k4_xboole_0(k3_tarski(k2_tarski(X0,X2)),X1))
| ~ v3_ordinal1(k2_tarski(k4_xboole_0(X0,X1),k4_xboole_0(X2,X1))) ),
inference(superposition,[status(thm)],[c_483,c_2504]) ).
tcf(c_160345,plain,
! [X0: $i,X1: $i] :
( v3_ordinal1(k3_tarski(k2_tarski(X0,X1)))
| ~ v3_ordinal1(k2_tarski(X0,k3_tarski(k2_tarski(X0,X1)))) ),
inference(superposition,[status(thm)],[c_498,c_2504]) ).
tcf(c_160346,plain,
! [X0: $i] :
( v3_ordinal1(X0)
| ~ v3_ordinal1(k2_tarski(X0,np__0)) ),
inference(superposition,[status(thm)],[c_501,c_2504]) ).
tcf(c_160347,plain,
! [X0: $i] :
( v3_ordinal1(X0)
| ~ v3_ordinal1(k2_tarski(X0,X0)) ),
inference(superposition,[status(thm)],[c_502,c_2504]) ).
tcf(c_160374,plain,
! [X0: $i] :
( v3_ordinal1(X0)
| ~ v3_ordinal1(k1_zfmisc_1(X0)) ),
inference(superposition,[status(thm)],[c_2507,c_2504]) ).
tcf(c_160376,plain,
! [X0: $i] : r1_tarski(k1_setfam_1(k1_zfmisc_1(X0)),X0),
inference(superposition,[status(thm)],[c_2507,c_2542]) ).
tcf(c_160377,plain,
! [X0: $i] : r1_tarski(k1_zfmisc_1(X0),k1_zfmisc_1(X0)),
inference(superposition,[status(thm)],[c_2507,c_2506]) ).
tcf(c_160385,plain,
( v1_relat_1(k4_numbers)
| v1_int_1(sK146(k4_numbers)) ),
inference(superposition,[status(thm)],[c_787,c_2722]) ).
tcf(c_160386,plain,
( v5_membered(k4_numbers)
| v1_int_1(sK229(k4_numbers)) ),
inference(superposition,[status(thm)],[c_1342,c_2722]) ).
tcf(c_160390,plain,
( v1_realset1(k4_numbers)
| v1_int_1(sK315(k4_numbers)) ),
inference(superposition,[status(thm)],[c_1986,c_2722]) ).
tcf(c_160391,plain,
( v1_realset1(k4_numbers)
| v1_int_1(sK316(k4_numbers)) ),
inference(superposition,[status(thm)],[c_1987,c_2722]) ).
tcf(c_160404,plain,
( v1_relat_1(k4_numbers)
| v1_xreal_0(sK146(k4_numbers)) ),
inference(superposition,[status(thm)],[c_160385,c_2716]) ).
tcf(c_160405,plain,
( v1_relat_1(k4_numbers)
| v1_xcmplx_0(sK146(k4_numbers)) ),
inference(superposition,[status(thm)],[c_160385,c_2715]) ).
tcf(c_160414,plain,
( v5_membered(k4_numbers)
| v1_xreal_0(sK229(k4_numbers)) ),
inference(superposition,[status(thm)],[c_160386,c_2716]) ).
tcf(c_160415,plain,
( v5_membered(k4_numbers)
| v1_xcmplx_0(sK229(k4_numbers)) ),
inference(superposition,[status(thm)],[c_160386,c_2715]) ).
tcf(c_160424,plain,
( v1_realset1(k4_numbers)
| v1_xreal_0(sK315(k4_numbers)) ),
inference(superposition,[status(thm)],[c_160390,c_2716]) ).
tcf(c_160425,plain,
( v1_realset1(k4_numbers)
| v1_xcmplx_0(sK315(k4_numbers)) ),
inference(superposition,[status(thm)],[c_160390,c_2715]) ).
tcf(c_160434,plain,
( v1_realset1(k4_numbers)
| v1_xreal_0(sK316(k4_numbers)) ),
inference(superposition,[status(thm)],[c_160391,c_2716]) ).
tcf(c_160435,plain,
( v1_realset1(k4_numbers)
| v1_xcmplx_0(sK316(k4_numbers)) ),
inference(superposition,[status(thm)],[c_160391,c_2715]) ).
tcf(c_160443,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : k3_tarski(k3_tarski(k2_tarski(k2_tarski(k2_zfmisc_1(k4_xboole_0(X0,X1),X2),k2_zfmisc_1(X0,k4_xboole_0(X2,X3))),X4))) = k3_tarski(k2_tarski(k4_xboole_0(k2_zfmisc_1(X0,X2),k2_zfmisc_1(X1,X3)),k3_tarski(X4))),
inference(superposition,[status(thm)],[c_471,c_2509]) ).
tcf(c_160444,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : k3_tarski(k3_tarski(k2_tarski(k2_tarski(k2_zfmisc_1(X0,X1),k2_zfmisc_1(X0,X2)),X3))) = k3_tarski(k2_tarski(k2_zfmisc_1(X0,k3_tarski(k2_tarski(X1,X2))),k3_tarski(X3))),
inference(superposition,[status(thm)],[c_474,c_2509]) ).
tcf(c_160445,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : k3_tarski(k3_tarski(k2_tarski(k2_tarski(k2_zfmisc_1(X0,X1),k2_zfmisc_1(X2,X1)),X3))) = k3_tarski(k2_tarski(k2_zfmisc_1(k3_tarski(k2_tarski(X0,X2)),X1),k3_tarski(X3))),
inference(superposition,[status(thm)],[c_473,c_2509]) ).
tcf(c_160446,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : k3_tarski(k2_tarski(k3_tarski(k2_tarski(X0,k3_tarski(k2_tarski(X1,X2)))),k3_tarski(X3))) = k3_tarski(k3_tarski(k2_tarski(k2_tarski(k3_tarski(k2_tarski(X0,X1)),X2),X3))),
inference(superposition,[status(thm)],[c_500,c_2509]) ).
tcf(c_160447,plain,
! [X0: $i,X1: $i,X2: $i] : k3_tarski(k3_tarski(k2_tarski(k2_tarski(X0,k4_xboole_0(X1,X0)),X2))) = k3_tarski(k2_tarski(k3_tarski(k2_tarski(X0,X1)),k3_tarski(X2))),
inference(superposition,[status(thm)],[c_486,c_2509]) ).
tcf(c_160448,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : k3_tarski(k3_tarski(k2_tarski(k2_tarski(k4_xboole_0(X0,X1),k4_xboole_0(X2,X1)),X3))) = k3_tarski(k2_tarski(k4_xboole_0(k3_tarski(k2_tarski(X0,X2)),X1),k3_tarski(X3))),
inference(superposition,[status(thm)],[c_483,c_2509]) ).
tcf(c_160449,plain,
! [X0: $i,X1: $i,X2: $i] : k3_tarski(k3_tarski(k2_tarski(k2_tarski(X0,k3_tarski(k2_tarski(X0,X1))),X2))) = k3_tarski(k2_tarski(k3_tarski(k2_tarski(X0,X1)),k3_tarski(X2))),
inference(superposition,[status(thm)],[c_498,c_2509]) ).
tcf(c_160450,plain,
! [X0: $i,X1: $i] : k3_tarski(k3_tarski(k2_tarski(k2_tarski(X0,np__0),X1))) = k3_tarski(k2_tarski(X0,k3_tarski(X1))),
inference(superposition,[status(thm)],[c_501,c_2509]) ).
tcf(c_160451,plain,
! [X0: $i,X1: $i] : k3_tarski(k3_tarski(k2_tarski(k2_tarski(X0,X0),X1))) = k3_tarski(k2_tarski(X0,k3_tarski(X1))),
inference(superposition,[status(thm)],[c_502,c_2509]) ).
tcf(c_160452,plain,
! [X0: $i,X1: $i] : k3_tarski(k3_tarski(k2_tarski(k1_zfmisc_1(X0),X1))) = k3_tarski(k2_tarski(X0,k3_tarski(X1))),
inference(superposition,[status(thm)],[c_2507,c_2509]) ).
tcf(c_160454,plain,
! [X0: $i] : k3_tarski(k2_tarski(np__0,k3_tarski(X0))) = k3_tarski(k3_tarski(k2_tarski(np__0,X0))),
inference(superposition,[status(thm)],[c_2516,c_2509]) ).
tcf(c_160455,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : k3_tarski(k3_tarski(k2_tarski(X0,k2_tarski(k2_zfmisc_1(k4_xboole_0(X1,X2),X3),k2_zfmisc_1(X1,k4_xboole_0(X3,X4)))))) = k3_tarski(k2_tarski(k3_tarski(X0),k4_xboole_0(k2_zfmisc_1(X1,X3),k2_zfmisc_1(X2,X4)))),
inference(superposition,[status(thm)],[c_471,c_2509]) ).
tcf(c_160456,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : k3_tarski(k3_tarski(k2_tarski(X0,k2_tarski(k2_zfmisc_1(X1,X2),k2_zfmisc_1(X1,X3))))) = k3_tarski(k2_tarski(k3_tarski(X0),k2_zfmisc_1(X1,k3_tarski(k2_tarski(X2,X3))))),
inference(superposition,[status(thm)],[c_474,c_2509]) ).
tcf(c_160457,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : k3_tarski(k3_tarski(k2_tarski(X0,k2_tarski(k2_zfmisc_1(X1,X2),k2_zfmisc_1(X3,X2))))) = k3_tarski(k2_tarski(k3_tarski(X0),k2_zfmisc_1(k3_tarski(k2_tarski(X1,X3)),X2))),
inference(superposition,[status(thm)],[c_473,c_2509]) ).
tcf(c_160458,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : k3_tarski(k2_tarski(k3_tarski(X0),k3_tarski(k2_tarski(X1,k3_tarski(k2_tarski(X2,X3)))))) = k3_tarski(k3_tarski(k2_tarski(X0,k2_tarski(k3_tarski(k2_tarski(X1,X2)),X3)))),
inference(superposition,[status(thm)],[c_500,c_2509]) ).
tcf(c_160459,plain,
! [X0: $i,X1: $i,X2: $i] : k3_tarski(k3_tarski(k2_tarski(X0,k2_tarski(X1,k4_xboole_0(X2,X1))))) = k3_tarski(k2_tarski(k3_tarski(X0),k3_tarski(k2_tarski(X1,X2)))),
inference(superposition,[status(thm)],[c_486,c_2509]) ).
tcf(c_160460,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : k3_tarski(k3_tarski(k2_tarski(X0,k2_tarski(k4_xboole_0(X1,X2),k4_xboole_0(X3,X2))))) = k3_tarski(k2_tarski(k3_tarski(X0),k4_xboole_0(k3_tarski(k2_tarski(X1,X3)),X2))),
inference(superposition,[status(thm)],[c_483,c_2509]) ).
tcf(c_160461,plain,
! [X0: $i,X1: $i,X2: $i] : k3_tarski(k3_tarski(k2_tarski(X0,k2_tarski(X1,k3_tarski(k2_tarski(X1,X2)))))) = k3_tarski(k2_tarski(k3_tarski(X0),k3_tarski(k2_tarski(X1,X2)))),
inference(superposition,[status(thm)],[c_498,c_2509]) ).
tcf(c_160462,plain,
! [X0: $i,X1: $i] : k3_tarski(k3_tarski(k2_tarski(X0,k2_tarski(X1,np__0)))) = k3_tarski(k2_tarski(k3_tarski(X0),X1)),
inference(superposition,[status(thm)],[c_501,c_2509]) ).
tcf(c_160463,plain,
! [X0: $i,X1: $i] : k3_tarski(k3_tarski(k2_tarski(X0,k2_tarski(X1,X1)))) = k3_tarski(k2_tarski(k3_tarski(X0),X1)),
inference(superposition,[status(thm)],[c_502,c_2509]) ).
tcf(c_160464,plain,
! [X0: $i,X1: $i] : k3_tarski(k3_tarski(k2_tarski(X0,k1_zfmisc_1(X1)))) = k3_tarski(k2_tarski(k3_tarski(X0),X1)),
inference(superposition,[status(thm)],[c_2507,c_2509]) ).
tcf(c_160466,plain,
! [X0: $i] : k3_tarski(k2_tarski(k3_tarski(X0),np__0)) = k3_tarski(k3_tarski(k2_tarski(X0,np__0))),
inference(superposition,[status(thm)],[c_2516,c_2509]) ).
tcf(c_160467,plain,
! [X0: $i,X1: $i] : r1_tarski(k3_tarski(X0),k3_tarski(k3_tarski(k2_tarski(X0,X1)))),
inference(superposition,[status(thm)],[c_2509,c_497]) ).
tcf(c_160468,plain,
! [X0: $i,X1: $i,X2: $i] : k3_tarski(k2_tarski(k3_tarski(X0),k3_tarski(k2_tarski(k3_tarski(X1),X2)))) = k3_tarski(k2_tarski(k3_tarski(k3_tarski(k2_tarski(X0,X1))),X2)),
inference(superposition,[status(thm)],[c_2509,c_500]) ).
tcf(c_160469,plain,
! [X0: $i,X1: $i] : k3_tarski(k2_tarski(k3_tarski(X0),k3_tarski(k3_tarski(k2_tarski(X0,X1))))) = k3_tarski(k3_tarski(k2_tarski(X0,X1))),
inference(superposition,[status(thm)],[c_2509,c_498]) ).
tcf(c_160470,plain,
! [X0: $i,X1: $i] :
( ( k3_tarski(X0) = np__0 )
| ( k3_tarski(k3_tarski(k2_tarski(X0,X1))) != np__0 ) ),
inference(superposition,[status(thm)],[c_2509,c_487]) ).
tcf(c_160471,plain,
! [X0: $i,X1: $i] : k4_xboole_0(k3_tarski(k3_tarski(k2_tarski(X0,X1))),k3_tarski(X1)) = k4_xboole_0(k3_tarski(X0),k3_tarski(X1)),
inference(superposition,[status(thm)],[c_2509,c_485]) ).
tcf(c_160472,plain,
! [X0: $i,X1: $i,X2: $i] : k4_xboole_0(k4_xboole_0(X0,k3_tarski(X1)),k3_tarski(X2)) = k4_xboole_0(X0,k3_tarski(k3_tarski(k2_tarski(X1,X2)))),
inference(superposition,[status(thm)],[c_2509,c_484]) ).
tcf(c_160473,plain,
! [X0: $i,X1: $i,X2: $i] : k3_tarski(k2_tarski(X0,k3_tarski(k2_tarski(X1,k3_tarski(X2))))) = k3_tarski(k3_tarski(k2_tarski(k2_tarski(X0,X1),X2))),
inference(superposition,[status(thm)],[c_2509,c_500]) ).
tcf(c_160474,plain,
! [X0: $i,X1: $i] : k3_tarski(k3_tarski(k2_tarski(X0,k2_tarski(k3_tarski(X0),X1)))) = k3_tarski(k2_tarski(k3_tarski(X0),X1)),
inference(superposition,[status(thm)],[c_2509,c_498]) ).
tcf(c_160475,plain,
! [X0: $i] : k3_tarski(k3_tarski(k2_tarski(X0,X0))) = k3_tarski(X0),
inference(superposition,[status(thm)],[c_2509,c_502]) ).
tcf(c_160476,plain,
! [X0: $i,X1: $i,X2: $i] : k3_tarski(k2_tarski(k3_tarski(k3_tarski(k2_tarski(X0,X1))),k3_tarski(X2))) = k3_tarski(k3_tarski(k2_tarski(k2_tarski(k3_tarski(X0),k3_tarski(X1)),X2))),
inference(superposition,[status(thm)],[c_2509,c_2509]) ).
tcf(c_160477,plain,
! [X0: $i,X1: $i] :
( v3_ordinal1(k3_tarski(k3_tarski(k2_tarski(X0,X1))))
| ~ v3_ordinal1(k2_tarski(k3_tarski(X0),k3_tarski(X1))) ),
inference(superposition,[status(thm)],[c_2509,c_2504]) ).
tcf(c_160478,plain,
! [X0: $i,X1: $i] :
( v1_finset_1(k2_tarski(k3_tarski(X0),k3_tarski(X1)))
| ~ v1_finset_1(k3_tarski(k3_tarski(k2_tarski(X0,X1)))) ),
inference(superposition,[status(thm)],[c_2509,c_2497]) ).
tcf(c_160479,plain,
! [X0: $i,X1: $i] : r1_tarski(k1_setfam_1(k2_tarski(k3_tarski(X0),k3_tarski(X1))),k3_tarski(k3_tarski(k2_tarski(X0,X1)))),
inference(superposition,[status(thm)],[c_2509,c_2542]) ).
tcf(c_160480,plain,
! [X0: $i,X1: $i] : r1_tarski(k2_tarski(k3_tarski(X0),k3_tarski(X1)),k1_zfmisc_1(k3_tarski(k3_tarski(k2_tarski(X0,X1))))),
inference(superposition,[status(thm)],[c_2509,c_2506]) ).
tcf(c_160481,plain,
! [X0: $i,X1: $i,X2: $i] : k3_tarski(k2_tarski(k3_tarski(X0),k3_tarski(k3_tarski(k2_tarski(X1,X2))))) = k3_tarski(k3_tarski(k2_tarski(X0,k2_tarski(k3_tarski(X1),k3_tarski(X2))))),
inference(superposition,[status(thm)],[c_2509,c_2509]) ).
tcf(c_160483,plain,
! [X0: $i] : k3_tarski(k2_tarski(k3_tarski(X0),np__0)) = k3_tarski(X0),
inference(light_normalisation,[status(thm)],[c_160466,c_501]) ).
tcf(c_160524,plain,
~ v1_int_1(sK548(k4_numbers)),
inference(superposition,[status(thm)],[c_2723,c_3500]) ).
tcf(c_160529,plain,
v1_int_1(sK52(k4_numbers)),
inference(superposition,[status(thm)],[c_161,c_2724]) ).
tcf(c_160534,plain,
( v1_relat_1(k1_numbers)
| v1_xreal_0(sK146(k1_numbers)) ),
inference(superposition,[status(thm)],[c_787,c_2743]) ).
tcf(c_160535,plain,
( v5_membered(k1_numbers)
| v1_xreal_0(sK229(k1_numbers)) ),
inference(superposition,[status(thm)],[c_1342,c_2743]) ).
tcf(c_160536,plain,
( v4_membered(k1_numbers)
| v1_xreal_0(sK237(k1_numbers)) ),
inference(superposition,[status(thm)],[c_1434,c_2743]) ).
tcf(c_160539,plain,
( v1_realset1(k1_numbers)
| v1_xreal_0(sK315(k1_numbers)) ),
inference(superposition,[status(thm)],[c_1986,c_2743]) ).
tcf(c_160540,plain,
( v1_realset1(k1_numbers)
| v1_xreal_0(sK316(k1_numbers)) ),
inference(superposition,[status(thm)],[c_1987,c_2743]) ).
tcf(c_160556,plain,
~ v1_xreal_0(sK548(k1_numbers)),
inference(superposition,[status(thm)],[c_2744,c_3500]) ).
tcf(c_160557,plain,
v1_xreal_0(sK52(k4_numbers)),
inference(superposition,[status(thm)],[c_160529,c_2716]) ).
tcf(c_160558,plain,
v1_xcmplx_0(sK52(k4_numbers)),
inference(superposition,[status(thm)],[c_160529,c_2715]) ).
tcf(c_160594,plain,
! [X0: $i,X1: $i,X2: $i] : k4_xboole_0(k2_zfmisc_1(X0,X1),k2_zfmisc_1(k4_xboole_0(X0,X2),X1)) = k1_setfam_1(k2_tarski(k2_zfmisc_1(X0,X1),k2_zfmisc_1(X2,X1))),
inference(superposition,[status(thm)],[c_1713,c_2532]) ).
tcf(c_160595,plain,
! [X0: $i,X1: $i,X2: $i] : k4_xboole_0(k2_zfmisc_1(X0,X1),k2_zfmisc_1(X0,k4_xboole_0(X1,X2))) = k1_setfam_1(k2_tarski(k2_zfmisc_1(X0,X1),k2_zfmisc_1(X0,X2))),
inference(superposition,[status(thm)],[c_1714,c_2532]) ).
tcf(c_160596,plain,
! [X0: $i,X1: $i,X2: $i] : k4_xboole_0(X0,k4_xboole_0(k4_xboole_0(X0,X1),X2)) = k1_setfam_1(k2_tarski(X0,k3_tarski(k2_tarski(X1,X2)))),
inference(superposition,[status(thm)],[c_484,c_2532]) ).
tcf(c_160597,plain,
! [X0: $i] : k1_setfam_1(k2_tarski(X0,np__0)) = k4_xboole_0(X0,X0),
inference(superposition,[status(thm)],[c_1740,c_2532]) ).
tcf(c_160598,plain,
! [X0: $i,X1: $i] : k4_xboole_0(k3_tarski(k2_tarski(X0,X1)),k4_xboole_0(X0,X1)) = k1_setfam_1(k2_tarski(k3_tarski(k2_tarski(X0,X1)),X1)),
inference(superposition,[status(thm)],[c_485,c_2532]) ).
tcf(c_160599,plain,
! [X0: $i] : k1_setfam_1(k2_tarski(np__0,X0)) = k4_xboole_0(np__0,np__0),
inference(superposition,[status(thm)],[c_1739,c_2532]) ).
tcf(c_160600,plain,
! [X0: $i,X1: $i] : k4_xboole_0(X0,k1_setfam_1(k2_tarski(X0,X1))) = k1_setfam_1(k2_tarski(X0,k4_xboole_0(X0,X1))),
inference(superposition,[status(thm)],[c_2532,c_2532]) ).
tcf(c_160601,plain,
! [X0: $i,X1: $i] : r1_xboole_0(k1_setfam_1(k2_tarski(X0,X1)),k4_xboole_0(X0,X1)),
inference(superposition,[status(thm)],[c_2532,c_2450]) ).
tcf(c_160602,plain,
! [X0: $i,X1: $i] : r1_tarski(k1_setfam_1(k2_tarski(X0,X1)),X0),
inference(superposition,[status(thm)],[c_2532,c_1734]) ).
tcf(c_160603,plain,
! [X0: $i,X1: $i,X2: $i] : k3_tarski(k2_tarski(k1_setfam_1(k2_tarski(X0,X1)),k4_xboole_0(X2,k4_xboole_0(X0,X1)))) = k4_xboole_0(k3_tarski(k2_tarski(X0,X2)),k4_xboole_0(X0,X1)),
inference(superposition,[status(thm)],[c_2532,c_483]) ).
tcf(c_160604,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : k3_tarski(k2_tarski(k2_zfmisc_1(k1_setfam_1(k2_tarski(X0,X1)),X2),k2_zfmisc_1(X0,k4_xboole_0(X2,X3)))) = k4_xboole_0(k2_zfmisc_1(X0,X2),k2_zfmisc_1(k4_xboole_0(X0,X1),X3)),
inference(superposition,[status(thm)],[c_2532,c_471]) ).
tcf(c_160605,plain,
! [X0: $i,X1: $i] : k3_tarski(k2_tarski(k4_xboole_0(X0,X1),k1_setfam_1(k2_tarski(X0,X1)))) = k3_tarski(k2_tarski(k4_xboole_0(X0,X1),X0)),
inference(superposition,[status(thm)],[c_2532,c_486]) ).
tcf(c_160606,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : k3_tarski(k2_tarski(k2_zfmisc_1(k4_xboole_0(X0,X1),X2),k2_zfmisc_1(X0,k1_setfam_1(k2_tarski(X2,X3))))) = k4_xboole_0(k2_zfmisc_1(X0,X2),k2_zfmisc_1(X1,k4_xboole_0(X2,X3))),
inference(superposition,[status(thm)],[c_2532,c_471]) ).
tcf(c_160607,plain,
! [X0: $i,X1: $i,X2: $i] : k3_tarski(k2_tarski(k4_xboole_0(X0,k4_xboole_0(X1,X2)),k1_setfam_1(k2_tarski(X1,X2)))) = k4_xboole_0(k3_tarski(k2_tarski(X0,X1)),k4_xboole_0(X1,X2)),
inference(superposition,[status(thm)],[c_2532,c_483]) ).
tcf(c_160608,plain,
! [X0: $i] : k1_setfam_1(k2_tarski(np__0,X0)) = np__0,
inference(superposition,[status(thm)],[c_2532,c_1739]) ).
tcf(c_160609,plain,
! [X0: $i] : k1_setfam_1(k2_tarski(X0,np__0)) = np__0,
inference(light_normalisation,[status(thm)],[c_160597,c_45740]) ).
tcf(c_160622,plain,
r2_hidden(np__0,k1_card_1(k1_zfmisc_1(np__0))),
inference(superposition,[status(thm)],[c_2812,c_2813]) ).
tcf(c_160635,plain,
( v1_relat_1(k1_numbers)
| v1_xcmplx_0(sK146(k1_numbers)) ),
inference(superposition,[status(thm)],[c_160534,c_2750]) ).
tcf(c_160642,plain,
( v5_membered(k1_numbers)
| v1_xcmplx_0(sK229(k1_numbers)) ),
inference(superposition,[status(thm)],[c_160535,c_2750]) ).
tcf(c_160649,plain,
( v4_membered(k1_numbers)
| v1_xcmplx_0(sK237(k1_numbers)) ),
inference(superposition,[status(thm)],[c_160536,c_2750]) ).
tcf(c_160656,plain,
( v1_realset1(k1_numbers)
| v1_xcmplx_0(sK315(k1_numbers)) ),
inference(superposition,[status(thm)],[c_160539,c_2750]) ).
tcf(c_160663,plain,
( v1_realset1(k1_numbers)
| v1_xcmplx_0(sK316(k1_numbers)) ),
inference(superposition,[status(thm)],[c_160540,c_2750]) ).
tcf(c_160686,plain,
! [X0: $i,X1: $i] : k5_xboole_0(k4_xboole_0(X0,X1),k1_setfam_1(k2_tarski(X0,X1))) = k3_tarski(k2_tarski(k4_xboole_0(X0,X1),X0)),
inference(superposition,[status(thm)],[c_2532,c_2606]) ).
tcf(c_160687,plain,
! [X0: $i,X1: $i,X2: $i] : k5_xboole_0(k2_zfmisc_1(X0,X1),k2_zfmisc_1(k4_xboole_0(X2,X0),X1)) = k3_tarski(k2_tarski(k2_zfmisc_1(X0,X1),k2_zfmisc_1(X2,X1))),
inference(superposition,[status(thm)],[c_1713,c_2606]) ).
tcf(c_160688,plain,
! [X0: $i,X1: $i,X2: $i] : k5_xboole_0(k2_zfmisc_1(X0,X1),k2_zfmisc_1(X0,k4_xboole_0(X2,X1))) = k3_tarski(k2_tarski(k2_zfmisc_1(X0,X1),k2_zfmisc_1(X0,X2))),
inference(superposition,[status(thm)],[c_1714,c_2606]) ).
tcf(c_160689,plain,
! [X0: $i,X1: $i,X2: $i] : k5_xboole_0(k3_tarski(k2_tarski(X0,X1)),k4_xboole_0(k4_xboole_0(X2,X0),X1)) = k3_tarski(k2_tarski(k3_tarski(k2_tarski(X0,X1)),X2)),
inference(superposition,[status(thm)],[c_484,c_2606]) ).
tcf(c_160690,plain,
! [X0: $i] : k3_tarski(k2_tarski(np__0,X0)) = k5_xboole_0(np__0,X0),
inference(superposition,[status(thm)],[c_1740,c_2606]) ).
tcf(c_160691,plain,
! [X0: $i,X1: $i] : k3_tarski(k2_tarski(X0,k3_tarski(k2_tarski(X1,X0)))) = k5_xboole_0(X0,k4_xboole_0(X1,X0)),
inference(superposition,[status(thm)],[c_485,c_2606]) ).
tcf(c_160692,plain,
! [X0: $i] : k3_tarski(k2_tarski(X0,np__0)) = k5_xboole_0(X0,np__0),
inference(superposition,[status(thm)],[c_1739,c_2606]) ).
tcf(c_160695,plain,
! [X0: $i,X1: $i,X2: $i] : k5_xboole_0(k3_tarski(k2_tarski(X0,X1)),k4_xboole_0(k4_xboole_0(X2,X0),X1)) = k3_tarski(k2_tarski(X0,k3_tarski(k2_tarski(X1,X2)))),
inference(light_normalisation,[status(thm)],[c_160689,c_500]) ).
tcf(c_160696,plain,
! [X0: $i,X1: $i,X2: $i] : k5_xboole_0(k2_zfmisc_1(X0,X1),k2_zfmisc_1(X0,k4_xboole_0(X2,X1))) = k2_zfmisc_1(X0,k3_tarski(k2_tarski(X1,X2))),
inference(light_normalisation,[status(thm)],[c_160688,c_474]) ).
tcf(c_160697,plain,
! [X0: $i,X1: $i,X2: $i] : k5_xboole_0(k2_zfmisc_1(X0,X1),k2_zfmisc_1(k4_xboole_0(X2,X0),X1)) = k2_zfmisc_1(k3_tarski(k2_tarski(X0,X2)),X1),
inference(light_normalisation,[status(thm)],[c_160687,c_473]) ).
tcf(c_160711,plain,
! [X0: $i] : v1_funct_1(sK556(X0)),
inference(superposition,[status(thm)],[c_3586,c_3327]) ).
tcf(c_160718,plain,
! [X0: $i] : v1_finseq_1(sK556(X0)),
inference(superposition,[status(thm)],[c_3586,c_3328]) ).
tcf(c_160743,plain,
! [X0: $i] :
( v2_funct_1(k4_relat_1(X0))
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_3388,c_6810]) ).
tcf(c_160744,plain,
! [X0: $i] :
( v1_realset1(k4_relat_1(X0))
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_3388,c_2002]) ).
tcf(c_160745,plain,
! [X0: $i] :
( v1_finset_1(k4_relat_1(X0))
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_3388,c_1700]) ).
tcf(c_160746,plain,
! [X0: $i] :
( v5_membered(k4_relat_1(X0))
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_3388,c_1393]) ).
tcf(c_160747,plain,
! [X0: $i] :
( v4_membered(k4_relat_1(X0))
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_3388,c_1392]) ).
tcf(c_160748,plain,
! [X0: $i] :
( v3_membered(k4_relat_1(X0))
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_3388,c_1391]) ).
tcf(c_160749,plain,
! [X0: $i] :
( v2_membered(k4_relat_1(X0))
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_3388,c_1390]) ).
tcf(c_160750,plain,
! [X0: $i] :
( v1_membered(k4_relat_1(X0))
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_3388,c_1389]) ).
tcf(c_160752,plain,
! [X0: $i] :
( v1_funct_1(k4_relat_1(X0))
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_3388,c_577]) ).
tcf(c_160790,plain,
( v3_ordinal1(k4_numbers)
| v1_int_1(sK552(k4_numbers)) ),
inference(superposition,[status(thm)],[c_3509,c_2722]) ).
tcf(c_160791,plain,
( v3_ordinal1(k1_numbers)
| v1_xreal_0(sK552(k1_numbers)) ),
inference(superposition,[status(thm)],[c_3509,c_2743]) ).
tcf(c_160800,plain,
( v3_ordinal1(k4_numbers)
| v1_xreal_0(sK552(k4_numbers)) ),
inference(superposition,[status(thm)],[c_160790,c_2716]) ).
tcf(c_160801,plain,
( v3_ordinal1(k4_numbers)
| v1_xcmplx_0(sK552(k4_numbers)) ),
inference(superposition,[status(thm)],[c_160790,c_2715]) ).
tcf(c_160810,plain,
( v3_ordinal1(k1_numbers)
| v1_xcmplx_0(sK552(k1_numbers)) ),
inference(superposition,[status(thm)],[c_160791,c_2750]) ).
tcf(c_160816,plain,
! [X0: $i,X1: $i,X2: $i] : k5_xboole_0(X0,k5_xboole_0(k4_xboole_0(X1,X0),X2)) = k5_xboole_0(k3_tarski(k2_tarski(X0,X1)),X2),
inference(superposition,[status(thm)],[c_2606,c_2613]) ).
tcf(c_160817,plain,
! [X0: $i,X1: $i] : k5_xboole_0(X0,k5_xboole_0(X0,X1)) = k5_xboole_0(np__0,X1),
inference(superposition,[status(thm)],[c_2612,c_2613]) ).
tcf(c_160818,plain,
! [X0: $i,X1: $i] : k5_xboole_0(X0,k5_xboole_0(np__0,X1)) = k5_xboole_0(X0,X1),
inference(superposition,[status(thm)],[c_2614,c_2613]) ).
tcf(c_160819,plain,
! [X0: $i,X1: $i,X2: $i] : k5_xboole_0(X0,k5_xboole_0(X1,k4_xboole_0(X2,k5_xboole_0(X0,X1)))) = k3_tarski(k2_tarski(k5_xboole_0(X0,X1),X2)),
inference(superposition,[status(thm)],[c_2613,c_2606]) ).
tcf(c_160820,plain,
! [X0: $i,X1: $i] : k5_xboole_0(X0,k5_xboole_0(X1,k5_xboole_0(X0,X1))) = np__0,
inference(superposition,[status(thm)],[c_2613,c_2612]) ).
tcf(c_160821,plain,
! [X0: $i,X1: $i] : k5_xboole_0(X0,k5_xboole_0(X1,np__0)) = k5_xboole_0(X0,X1),
inference(superposition,[status(thm)],[c_2613,c_2614]) ).
tcf(c_160830,plain,
v4_finsub_1(np__0),
inference(superposition,[status(thm)],[c_3603,c_698]) ).
tcf(c_160831,plain,
( v4_finsub_1(k4_numbers)
| v1_int_1(sK558(k4_numbers)) ),
inference(superposition,[status(thm)],[c_3603,c_2722]) ).
tcf(c_160832,plain,
( v4_finsub_1(k1_numbers)
| v1_xreal_0(sK558(k1_numbers)) ),
inference(superposition,[status(thm)],[c_3603,c_2743]) ).
tcf(c_160842,plain,
( v4_finsub_1(k4_numbers)
| v1_int_1(sK559(k4_numbers)) ),
inference(superposition,[status(thm)],[c_3604,c_2722]) ).
tcf(c_160843,plain,
( v4_finsub_1(k1_numbers)
| v1_xreal_0(sK559(k1_numbers)) ),
inference(superposition,[status(thm)],[c_3604,c_2743]) ).
tcf(c_160869,plain,
( v4_finsub_1(k4_numbers)
| v1_xreal_0(sK558(k4_numbers)) ),
inference(superposition,[status(thm)],[c_160831,c_2716]) ).
tcf(c_160870,plain,
( v4_finsub_1(k4_numbers)
| v1_xcmplx_0(sK558(k4_numbers)) ),
inference(superposition,[status(thm)],[c_160831,c_2715]) ).
tcf(c_160879,plain,
( v4_finsub_1(k1_numbers)
| v1_xcmplx_0(sK558(k1_numbers)) ),
inference(superposition,[status(thm)],[c_160832,c_2750]) ).
tcf(c_160886,plain,
( v4_finsub_1(k4_numbers)
| v1_xreal_0(sK559(k4_numbers)) ),
inference(superposition,[status(thm)],[c_160842,c_2716]) ).
tcf(c_160887,plain,
( v4_finsub_1(k4_numbers)
| v1_xcmplx_0(sK559(k4_numbers)) ),
inference(superposition,[status(thm)],[c_160842,c_2715]) ).
tcf(c_160896,plain,
( v4_finsub_1(k1_numbers)
| v1_xcmplx_0(sK559(k1_numbers)) ),
inference(superposition,[status(thm)],[c_160843,c_2750]) ).
tcf(c_160917,plain,
! [X0: $i] : k5_xboole_0(np__0,X0) = X0,
inference(superposition,[status(thm)],[c_2614,c_2615]) ).
tcf(c_160929,plain,
! [X0: $i] :
( v2_funct_1(k1_pre_topc(X0))
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_6652,c_6810]) ).
tcf(c_160930,plain,
! [X0: $i] :
( v1_realset1(k1_pre_topc(X0))
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_6652,c_2002]) ).
tcf(c_160931,plain,
! [X0: $i] :
( v1_finset_1(k1_pre_topc(X0))
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_6652,c_1700]) ).
tcf(c_160937,plain,
! [X0: $i] :
( v1_relat_1(k1_pre_topc(X0))
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_6652,c_582]) ).
tcf(c_160938,plain,
! [X0: $i] :
( v1_funct_1(k1_pre_topc(X0))
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_6652,c_577]) ).
tcf(c_160989,plain,
! [X0: $i] : k1_setfam_1(k2_tarski(X0,X0)) = k4_xboole_0(X0,np__0),
inference(superposition,[status(thm)],[c_45740,c_2532]) ).
tcf(c_160992,plain,
! [X0: $i,X1: $i] : k4_xboole_0(k3_tarski(k2_tarski(X0,X1)),X0) = k3_tarski(k2_tarski(np__0,k4_xboole_0(X1,X0))),
inference(superposition,[status(thm)],[c_45740,c_483]) ).
tcf(c_160993,plain,
! [X0: $i,X1: $i,X2: $i] : k3_tarski(k2_tarski(k2_zfmisc_1(np__0,X0),k2_zfmisc_1(X1,k4_xboole_0(X0,X2)))) = k4_xboole_0(k2_zfmisc_1(X1,X0),k2_zfmisc_1(X1,X2)),
inference(superposition,[status(thm)],[c_45740,c_471]) ).
tcf(c_160994,plain,
! [X0: $i] : k3_tarski(k2_tarski(X0,X0)) = k5_xboole_0(X0,np__0),
inference(superposition,[status(thm)],[c_45740,c_2606]) ).
tcf(c_160995,plain,
! [X0: $i] : k3_tarski(k2_tarski(X0,X0)) = k3_tarski(k2_tarski(X0,np__0)),
inference(superposition,[status(thm)],[c_45740,c_486]) ).
tcf(c_160996,plain,
! [X0: $i,X1: $i,X2: $i] : k3_tarski(k2_tarski(k2_zfmisc_1(k4_xboole_0(X0,X1),X2),k2_zfmisc_1(X0,np__0))) = k4_xboole_0(k2_zfmisc_1(X0,X2),k2_zfmisc_1(X1,X2)),
inference(superposition,[status(thm)],[c_45740,c_471]) ).
tcf(c_160997,plain,
! [X0: $i,X1: $i] : k2_zfmisc_1(k4_xboole_0(X0,X0),X1) = np__0,
inference(superposition,[status(thm)],[c_45740,c_1713]) ).
tcf(c_160998,plain,
! [X0: $i,X1: $i] : k2_zfmisc_1(X0,k4_xboole_0(X1,X1)) = np__0,
inference(superposition,[status(thm)],[c_45740,c_1714]) ).
tcf(c_160999,plain,
! [X0: $i,X1: $i] : k4_xboole_0(k3_tarski(k2_tarski(X0,X1)),X1) = k3_tarski(k2_tarski(k4_xboole_0(X0,X1),np__0)),
inference(superposition,[status(thm)],[c_45740,c_483]) ).
tcf(c_161000,plain,
! [X0: $i,X1: $i] : k4_xboole_0(k4_xboole_0(k3_tarski(k2_tarski(X0,X1)),X0),X1) = np__0,
inference(superposition,[status(thm)],[c_45740,c_484]) ).
tcf(c_161006,plain,
! [X0: $i,X1: $i,X2: $i] : k3_tarski(k2_tarski(k2_zfmisc_1(k4_xboole_0(X0,X1),X2),np__0)) = k4_xboole_0(k2_zfmisc_1(X0,X2),k2_zfmisc_1(X1,X2)),
inference(light_normalisation,[status(thm)],[c_160996,c_620]) ).
tcf(c_161007,plain,
! [X0: $i,X1: $i,X2: $i] : k3_tarski(k2_tarski(np__0,k2_zfmisc_1(X0,k4_xboole_0(X1,X2)))) = k4_xboole_0(k2_zfmisc_1(X0,X1),k2_zfmisc_1(X0,X2)),
inference(light_normalisation,[status(thm)],[c_160993,c_619]) ).
tcf(c_161008,plain,
! [X0: $i,X1: $i,X2: $i] : k3_tarski(k2_tarski(np__0,k2_zfmisc_1(X0,k4_xboole_0(X1,X2)))) = k2_zfmisc_1(X0,k4_xboole_0(X1,X2)),
inference(light_normalisation,[status(thm)],[c_161007,c_1714]) ).
tcf(c_161013,plain,
r3_binop_1(k1_zfmisc_1(np__0),np__0,k9_setwiseo(np__0)),
inference(superposition,[status(thm)],[c_46572,c_3249]) ).
tcf(c_161014,plain,
r1_tarski(k1_zfmisc_1(np__0),k1_zfmisc_1(np__0)),
inference(superposition,[status(thm)],[c_46572,c_1653]) ).
tcf(c_161015,plain,
m1_subset_1(sK259(np__0),k1_zfmisc_1(np__0)),
inference(superposition,[status(thm)],[c_46572,c_1645]) ).
tcf(c_161016,plain,
m1_subset_1(np__0,k1_zfmisc_1(np__0)),
inference(superposition,[status(thm)],[c_46572,c_3241]) ).
tcf(c_161017,plain,
v4_finsub_1(k1_zfmisc_1(np__0)),
inference(superposition,[status(thm)],[c_46572,c_3590]) ).
tcf(c_161038,plain,
! [X0: $i,X1: $i] : k3_tarski(k2_tarski(k1_setfam_1(k2_tarski(X0,X1)),k4_xboole_0(k4_xboole_0(X0,X1),X0))) = k5_xboole_0(X0,k4_xboole_0(X0,X1)),
inference(superposition,[status(thm)],[c_2532,c_2624]) ).
tcf(c_161039,plain,
! [X0: $i,X1: $i,X2: $i] : k3_tarski(k2_tarski(k2_zfmisc_1(k4_xboole_0(X0,X1),X2),k4_xboole_0(k2_zfmisc_1(X1,X2),k2_zfmisc_1(X0,X2)))) = k5_xboole_0(k2_zfmisc_1(X0,X2),k2_zfmisc_1(X1,X2)),
inference(superposition,[status(thm)],[c_1713,c_2624]) ).
tcf(c_161040,plain,
! [X0: $i,X1: $i,X2: $i] : k3_tarski(k2_tarski(k2_zfmisc_1(X0,k4_xboole_0(X1,X2)),k4_xboole_0(k2_zfmisc_1(X0,X2),k2_zfmisc_1(X0,X1)))) = k5_xboole_0(k2_zfmisc_1(X0,X1),k2_zfmisc_1(X0,X2)),
inference(superposition,[status(thm)],[c_1714,c_2624]) ).
tcf(c_161041,plain,
! [X0: $i,X1: $i,X2: $i] : k3_tarski(k2_tarski(k4_xboole_0(k4_xboole_0(X0,X1),X2),k4_xboole_0(k3_tarski(k2_tarski(X1,X2)),X0))) = k5_xboole_0(X0,k3_tarski(k2_tarski(X1,X2))),
inference(superposition,[status(thm)],[c_484,c_2624]) ).
tcf(c_161042,plain,
! [X0: $i] : k3_tarski(k2_tarski(X0,k4_xboole_0(np__0,X0))) = k5_xboole_0(X0,np__0),
inference(superposition,[status(thm)],[c_1740,c_2624]) ).
tcf(c_161044,plain,
! [X0: $i,X1: $i] : k3_tarski(k2_tarski(k4_xboole_0(X0,X1),k4_xboole_0(X1,k3_tarski(k2_tarski(X0,X1))))) = k5_xboole_0(k3_tarski(k2_tarski(X0,X1)),X1),
inference(superposition,[status(thm)],[c_485,c_2624]) ).
tcf(c_161045,plain,
! [X0: $i] : k3_tarski(k2_tarski(np__0,k4_xboole_0(X0,np__0))) = k5_xboole_0(np__0,X0),
inference(superposition,[status(thm)],[c_1739,c_2624]) ).
tcf(c_161046,plain,
! [X0: $i,X1: $i] : k3_tarski(k2_tarski(k4_xboole_0(k4_xboole_0(X0,X1),X0),k1_setfam_1(k2_tarski(X0,X1)))) = k5_xboole_0(k4_xboole_0(X0,X1),X0),
inference(superposition,[status(thm)],[c_2532,c_2624]) ).
tcf(c_161047,plain,
! [X0: $i,X1: $i,X2: $i] : k3_tarski(k2_tarski(k4_xboole_0(k2_zfmisc_1(X0,X1),k2_zfmisc_1(X2,X1)),k2_zfmisc_1(k4_xboole_0(X2,X0),X1))) = k5_xboole_0(k2_zfmisc_1(X0,X1),k2_zfmisc_1(X2,X1)),
inference(superposition,[status(thm)],[c_1713,c_2624]) ).
tcf(c_161048,plain,
! [X0: $i,X1: $i,X2: $i] : k3_tarski(k2_tarski(k4_xboole_0(k2_zfmisc_1(X0,X1),k2_zfmisc_1(X0,X2)),k2_zfmisc_1(X0,k4_xboole_0(X2,X1)))) = k5_xboole_0(k2_zfmisc_1(X0,X1),k2_zfmisc_1(X0,X2)),
inference(superposition,[status(thm)],[c_1714,c_2624]) ).
tcf(c_161049,plain,
! [X0: $i,X1: $i,X2: $i] : k3_tarski(k2_tarski(k4_xboole_0(k3_tarski(k2_tarski(X0,X1)),X2),k4_xboole_0(k4_xboole_0(X2,X0),X1))) = k5_xboole_0(k3_tarski(k2_tarski(X0,X1)),X2),
inference(superposition,[status(thm)],[c_484,c_2624]) ).
tcf(c_161050,plain,
! [X0: $i] : k3_tarski(k2_tarski(k4_xboole_0(np__0,X0),X0)) = k5_xboole_0(np__0,X0),
inference(superposition,[status(thm)],[c_1740,c_2624]) ).
tcf(c_161051,plain,
! [X0: $i] : k3_tarski(k2_tarski(np__0,np__0)) = k5_xboole_0(X0,X0),
inference(superposition,[status(thm)],[c_45740,c_2624]) ).
tcf(c_161052,plain,
! [X0: $i,X1: $i] : k3_tarski(k2_tarski(k4_xboole_0(X0,k3_tarski(k2_tarski(X1,X0))),k4_xboole_0(X1,X0))) = k5_xboole_0(X0,k3_tarski(k2_tarski(X1,X0))),
inference(superposition,[status(thm)],[c_485,c_2624]) ).
tcf(c_161053,plain,
! [X0: $i] : k3_tarski(k2_tarski(k4_xboole_0(X0,np__0),np__0)) = k5_xboole_0(X0,np__0),
inference(superposition,[status(thm)],[c_1739,c_2624]) ).
tcf(c_161055,plain,
! [X0: $i,X1: $i,X2: $i] : k3_tarski(k2_tarski(k4_xboole_0(X0,X1),k3_tarski(k2_tarski(k4_xboole_0(X1,X0),X2)))) = k3_tarski(k2_tarski(k5_xboole_0(X0,X1),X2)),
inference(superposition,[status(thm)],[c_2624,c_500]) ).
tcf(c_161056,plain,
! [X0: $i,X1: $i] : k3_tarski(k2_tarski(k4_xboole_0(X0,X1),k5_xboole_0(X0,X1))) = k5_xboole_0(X0,X1),
inference(superposition,[status(thm)],[c_2624,c_498]) ).
tcf(c_161057,plain,
! [X0: $i,X1: $i] :
( ( k4_xboole_0(X0,X1) = np__0 )
| ( k5_xboole_0(X0,X1) != np__0 ) ),
inference(superposition,[status(thm)],[c_2624,c_487]) ).
tcf(c_161058,plain,
! [X0: $i,X1: $i] : k4_xboole_0(k5_xboole_0(X0,X1),k4_xboole_0(X1,X0)) = k4_xboole_0(k4_xboole_0(X0,X1),k4_xboole_0(X1,X0)),
inference(superposition,[status(thm)],[c_2624,c_485]) ).
tcf(c_161059,plain,
! [X0: $i,X1: $i,X2: $i] : k4_xboole_0(k4_xboole_0(X0,k4_xboole_0(X1,X2)),k4_xboole_0(X2,X1)) = k4_xboole_0(X0,k5_xboole_0(X1,X2)),
inference(superposition,[status(thm)],[c_2624,c_484]) ).
tcf(c_161060,plain,
! [X0: $i] : k4_xboole_0(k3_tarski(k2_tarski(X0,X0)),X0) = k5_xboole_0(X0,X0),
inference(superposition,[status(thm)],[c_2624,c_483]) ).
tcf(c_161061,plain,
! [X0: $i] : k5_xboole_0(X0,X0) = k4_xboole_0(X0,X0),
inference(superposition,[status(thm)],[c_2624,c_502]) ).
tcf(c_161062,plain,
! [X0: $i,X1: $i,X2: $i] : k3_tarski(k3_tarski(k2_tarski(k2_tarski(k4_xboole_0(X0,X1),k4_xboole_0(X1,X0)),X2))) = k3_tarski(k2_tarski(k5_xboole_0(X0,X1),k3_tarski(X2))),
inference(superposition,[status(thm)],[c_2624,c_2509]) ).
tcf(c_161063,plain,
! [X0: $i,X1: $i] :
( v3_ordinal1(k5_xboole_0(X0,X1))
| ~ v3_ordinal1(k2_tarski(k4_xboole_0(X0,X1),k4_xboole_0(X1,X0))) ),
inference(superposition,[status(thm)],[c_2624,c_2504]) ).
tcf(c_161064,plain,
! [X0: $i,X1: $i] :
( v1_finset_1(k2_tarski(k4_xboole_0(X0,X1),k4_xboole_0(X1,X0)))
| ~ v1_finset_1(k5_xboole_0(X0,X1)) ),
inference(superposition,[status(thm)],[c_2624,c_2497]) ).
tcf(c_161065,plain,
! [X0: $i,X1: $i] : r1_tarski(k1_setfam_1(k2_tarski(k4_xboole_0(X0,X1),k4_xboole_0(X1,X0))),k5_xboole_0(X0,X1)),
inference(superposition,[status(thm)],[c_2624,c_2542]) ).
tcf(c_161066,plain,
! [X0: $i,X1: $i] : r1_tarski(k2_tarski(k4_xboole_0(X0,X1),k4_xboole_0(X1,X0)),k1_zfmisc_1(k5_xboole_0(X0,X1))),
inference(superposition,[status(thm)],[c_2624,c_2506]) ).
tcf(c_161067,plain,
! [X0: $i,X1: $i,X2: $i] : k3_tarski(k3_tarski(k2_tarski(X0,k2_tarski(k4_xboole_0(X1,X2),k4_xboole_0(X2,X1))))) = k3_tarski(k2_tarski(k3_tarski(X0),k5_xboole_0(X1,X2))),
inference(superposition,[status(thm)],[c_2624,c_2509]) ).
tcf(c_161079,plain,
! [X0: $i,X1: $i] : k3_tarski(k2_tarski(k4_xboole_0(k4_xboole_0(X0,X1),X0),k1_setfam_1(k2_tarski(X0,X1)))) = k5_xboole_0(X0,k4_xboole_0(X0,X1)),
inference(theory_normalisation,[status(thm)],[c_161046,c_2613,c_2615]) ).
tcf(c_161080,plain,
! [X0: $i,X1: $i] : k3_tarski(k2_tarski(k4_xboole_0(X0,X1),k4_xboole_0(X1,k3_tarski(k2_tarski(X0,X1))))) = k5_xboole_0(X1,k3_tarski(k2_tarski(X0,X1))),
inference(theory_normalisation,[status(thm)],[c_161044,c_2613,c_2615]) ).
tcf(c_161081,plain,
! [X0: $i,X1: $i,X2: $i] : k3_tarski(k2_tarski(k2_zfmisc_1(X0,k4_xboole_0(X1,X2)),k2_zfmisc_1(X0,k4_xboole_0(X2,X1)))) = k5_xboole_0(k2_zfmisc_1(X0,X1),k2_zfmisc_1(X0,X2)),
inference(light_normalisation,[status(thm)],[c_161048,c_1714]) ).
tcf(c_161082,plain,
! [X0: $i,X1: $i,X2: $i] : k3_tarski(k2_tarski(k2_zfmisc_1(k4_xboole_0(X0,X1),X2),k2_zfmisc_1(k4_xboole_0(X1,X0),X2))) = k5_xboole_0(k2_zfmisc_1(X0,X2),k2_zfmisc_1(X1,X2)),
inference(light_normalisation,[status(thm)],[c_161047,c_1713]) ).
tcf(c_161209,plain,
! [X0: $i] : ~ v1_xboole_0(k1_card_1(k1_zfmisc_1(X0))),
inference(superposition,[status(thm)],[c_2813,c_597]) ).
tcf(c_161210,plain,
! [X0: $i] :
( v3_ordinal1(X0)
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_3509,c_597]) ).
tcf(c_161211,plain,
! [X0: $i] :
( v4_finsub_1(X0)
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_3603,c_597]) ).
tcf(c_161223,plain,
! [X0: $i] :
( ( k1_pre_topc(X0) = np__0 )
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_6652,c_600]) ).
tcf(c_161225,plain,
np__0 = sK83,
inference(superposition,[status(thm)],[c_575,c_600]) ).
tcf(c_161227,plain,
np__0 = sK85,
inference(superposition,[status(thm)],[c_583,c_600]) ).
tcf(c_161228,plain,
! [X0: $i] : sK86(X0) = np__0,
inference(superposition,[status(thm)],[c_592,c_600]) ).
tcf(c_161229,plain,
np__0 = sK89,
inference(superposition,[status(thm)],[c_602,c_600]) ).
tcf(c_161230,plain,
! [X0: $i] :
( ( k2_relat_1(X0) = np__0 )
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_744,c_600]) ).
tcf(c_161231,plain,
! [X0: $i] :
( ( k1_relat_1(X0) = np__0 )
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_750,c_600]) ).
tcf(c_161232,plain,
! [X0: $i] : sK259(X0) = np__0,
inference(superposition,[status(thm)],[c_1646,c_600]) ).
tcf(c_161233,plain,
np__0 = sK262,
inference(superposition,[status(thm)],[c_1668,c_600]) ).
tcf(c_161234,plain,
np__0 = sK431,
inference(superposition,[status(thm)],[c_2832,c_600]) ).
tcf(c_161235,plain,
np__0 = sK436,
inference(superposition,[status(thm)],[c_2857,c_600]) ).
tcf(c_161236,plain,
! [X0: $i] :
( ( k4_relat_1(X0) = np__0 )
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_3388,c_600]) ).
tcf(c_161344,plain,
! [X0: $i] :
( v1_relat_1(X0)
| m1_subset_1(sK146(X0),X0) ),
inference(superposition,[status(thm)],[c_787,c_626]) ).
tcf(c_161345,plain,
! [X0: $i] :
( v5_membered(X0)
| m1_subset_1(sK229(X0),X0) ),
inference(superposition,[status(thm)],[c_1342,c_626]) ).
tcf(c_161346,plain,
! [X0: $i] :
( v4_membered(X0)
| m1_subset_1(sK237(X0),X0) ),
inference(superposition,[status(thm)],[c_1434,c_626]) ).
tcf(c_161347,plain,
! [X0: $i] :
( v2_membered(X0)
| m1_subset_1(sK245(X0),X0) ),
inference(superposition,[status(thm)],[c_1534,c_626]) ).
tcf(c_161348,plain,
! [X0: $i] :
( v1_membered(X0)
| m1_subset_1(sK251(X0),X0) ),
inference(superposition,[status(thm)],[c_1577,c_626]) ).
tcf(c_161349,plain,
! [X0: $i] :
( v1_realset1(X0)
| m1_subset_1(sK315(X0),X0) ),
inference(superposition,[status(thm)],[c_1986,c_626]) ).
tcf(c_161350,plain,
! [X0: $i] :
( v1_realset1(X0)
| m1_subset_1(sK316(X0),X0) ),
inference(superposition,[status(thm)],[c_1987,c_626]) ).
tcf(c_161351,plain,
! [X0: $i,X1: $i] : m1_subset_1(X0,k2_tarski(X0,X1)),
inference(superposition,[status(thm)],[c_2711,c_626]) ).
tcf(c_161352,plain,
! [X0: $i,X1: $i] : m1_subset_1(X0,k2_tarski(X1,X0)),
inference(superposition,[status(thm)],[c_2712,c_626]) ).
tcf(c_161353,plain,
! [X0: $i] :
( m1_subset_1(X0,k4_numbers)
| ~ v1_int_1(X0) ),
inference(superposition,[status(thm)],[c_2723,c_626]) ).
tcf(c_161354,plain,
! [X0: $i] :
( m1_subset_1(X0,k1_numbers)
| ~ v1_xreal_0(X0) ),
inference(superposition,[status(thm)],[c_2744,c_626]) ).
tcf(c_161355,plain,
! [X0: $i] : m1_subset_1(k1_card_1(X0),k1_card_1(k1_zfmisc_1(X0))),
inference(superposition,[status(thm)],[c_2813,c_626]) ).
tcf(c_161356,plain,
! [X0: $i] :
( v3_ordinal1(X0)
| m1_subset_1(sK552(X0),X0) ),
inference(superposition,[status(thm)],[c_3509,c_626]) ).
tcf(c_161357,plain,
! [X0: $i] :
( v4_finsub_1(X0)
| m1_subset_1(sK558(X0),X0) ),
inference(superposition,[status(thm)],[c_3603,c_626]) ).
tcf(c_161358,plain,
! [X0: $i] :
( v4_finsub_1(X0)
| m1_subset_1(sK559(X0),X0) ),
inference(superposition,[status(thm)],[c_3604,c_626]) ).
tcf(c_161359,plain,
m1_subset_1(np__0,k1_card_1(k1_zfmisc_1(np__0))),
inference(superposition,[status(thm)],[c_160622,c_626]) ).
tcf(c_161392,plain,
! [X0: $i] :
( v3_ordinal1(k1_pre_topc(X0))
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_6652,c_161210]) ).
tcf(c_161393,plain,
! [X0: $i] :
( v3_ordinal1(k1_pre_topc(X0))
| ~ l1_struct_0(X0) ),
inference(superposition,[status(thm)],[c_328,c_161210]) ).
tcf(c_161395,plain,
! [X0: $i] :
( v3_ordinal1(k2_relat_1(X0))
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_744,c_161210]) ).
tcf(c_161396,plain,
! [X0: $i] :
( v3_ordinal1(k1_relat_1(X0))
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_750,c_161210]) ).
tcf(c_161397,plain,
! [X0: $i] :
( v3_ordinal1(k4_relat_1(X0))
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_3388,c_161210]) ).
tcf(c_161417,plain,
! [X0: $i] :
( v4_finsub_1(k1_pre_topc(X0))
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_6652,c_161211]) ).
tcf(c_161418,plain,
! [X0: $i] :
( v4_finsub_1(k1_pre_topc(X0))
| ~ l1_struct_0(X0) ),
inference(superposition,[status(thm)],[c_328,c_161211]) ).
tcf(c_161420,plain,
! [X0: $i] :
( v4_finsub_1(k2_relat_1(X0))
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_744,c_161211]) ).
tcf(c_161421,plain,
! [X0: $i] :
( v4_finsub_1(k1_relat_1(X0))
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_750,c_161211]) ).
tcf(c_161422,plain,
! [X0: $i] :
( v4_finsub_1(k4_relat_1(X0))
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_3388,c_161211]) ).
tcf(c_161548,plain,
( iPr_def_39
| iPr_def_21
| v3_struct_0(sK530) ),
inference(superposition,[status(thm)],[c_120060,c_120044]) ).
tcf(c_161564,plain,
( iPr_def_39
| iPr_def_20
| v3_struct_0(sK530) ),
inference(superposition,[status(thm)],[c_120060,c_120045]) ).
tcf(c_161595,plain,
! [X0: $i,X1: $i] : k2_tarski(X0,X1) != np__0,
inference(superposition,[status(thm)],[c_501,c_2679]) ).
tcf(c_161605,plain,
! [X0: $i] :
( v5_membered(k3_tarski(X0))
| m1_subset_1(sK223(X0),X0) ),
inference(superposition,[status(thm)],[c_1321,c_626]) ).
tcf(c_161606,plain,
! [X0: $i] :
( v5_membered(k3_tarski(X0))
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_1321,c_597]) ).
tcf(c_161607,plain,
v5_membered(k3_tarski(np__0)),
inference(superposition,[status(thm)],[c_1321,c_698]) ).
tcf(c_161608,plain,
( v1_int_1(sK223(k4_numbers))
| v5_membered(k3_tarski(k4_numbers)) ),
inference(superposition,[status(thm)],[c_1321,c_2722]) ).
tcf(c_161609,plain,
( v1_xreal_0(sK223(k1_numbers))
| v5_membered(k3_tarski(k1_numbers)) ),
inference(superposition,[status(thm)],[c_1321,c_2743]) ).
tcf(c_161625,plain,
! [X0: $i,X1: $i] :
( v1_membered(k1_setfam_1(k2_tarski(X0,X1)))
| ~ v5_membered(X0) ),
inference(superposition,[status(thm)],[c_2532,c_1349]) ).
tcf(c_161626,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_membered(k2_zfmisc_1(k4_xboole_0(X0,X2),X1))
| ~ v5_membered(k2_zfmisc_1(X0,X1)) ),
inference(superposition,[status(thm)],[c_1713,c_1349]) ).
tcf(c_161627,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_membered(k2_zfmisc_1(X0,k4_xboole_0(X1,X2)))
| ~ v5_membered(k2_zfmisc_1(X0,X1)) ),
inference(superposition,[status(thm)],[c_1714,c_1349]) ).
tcf(c_161628,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_membered(k4_xboole_0(k4_xboole_0(X0,X1),X2))
| ~ v5_membered(X0) ),
inference(superposition,[status(thm)],[c_484,c_1349]) ).
tcf(c_161629,plain,
! [X0: $i] :
( v1_membered(X0)
| ~ v5_membered(X0) ),
inference(superposition,[status(thm)],[c_1740,c_1349]) ).
tcf(c_161631,plain,
! [X0: $i,X1: $i] :
( v1_membered(k4_xboole_0(X0,X1))
| ~ v5_membered(k3_tarski(k2_tarski(X0,X1))) ),
inference(superposition,[status(thm)],[c_485,c_1349]) ).
tcf(c_161653,plain,
! [X0: $i,X1: $i] :
( v2_membered(k1_setfam_1(k2_tarski(X0,X1)))
| ~ v5_membered(X0) ),
inference(superposition,[status(thm)],[c_2532,c_1350]) ).
tcf(c_161654,plain,
! [X0: $i,X1: $i,X2: $i] :
( v2_membered(k2_zfmisc_1(k4_xboole_0(X0,X2),X1))
| ~ v5_membered(k2_zfmisc_1(X0,X1)) ),
inference(superposition,[status(thm)],[c_1713,c_1350]) ).
tcf(c_161655,plain,
! [X0: $i,X1: $i,X2: $i] :
( v2_membered(k2_zfmisc_1(X0,k4_xboole_0(X1,X2)))
| ~ v5_membered(k2_zfmisc_1(X0,X1)) ),
inference(superposition,[status(thm)],[c_1714,c_1350]) ).
tcf(c_161656,plain,
! [X0: $i,X1: $i,X2: $i] :
( v2_membered(k4_xboole_0(k4_xboole_0(X0,X1),X2))
| ~ v5_membered(X0) ),
inference(superposition,[status(thm)],[c_484,c_1350]) ).
tcf(c_161657,plain,
! [X0: $i] :
( v2_membered(X0)
| ~ v5_membered(X0) ),
inference(superposition,[status(thm)],[c_1740,c_1350]) ).
tcf(c_161659,plain,
! [X0: $i,X1: $i] :
( v2_membered(k4_xboole_0(X0,X1))
| ~ v5_membered(k3_tarski(k2_tarski(X0,X1))) ),
inference(superposition,[status(thm)],[c_485,c_1350]) ).
tcf(c_161719,plain,
! [X0: $i] :
( v2_funct_1(X0)
| ~ v1_xboole_0(k6_partfun1(X0)) ),
inference(superposition,[status(thm)],[c_2204,c_159902]) ).
tcf(c_161727,plain,
! [X0: $i] :
( v1_realset1(X0)
| ~ v1_xboole_0(k6_partfun1(X0)) ),
inference(superposition,[status(thm)],[c_2204,c_159903]) ).
tcf(c_161735,plain,
! [X0: $i] :
( v1_finset_1(X0)
| ~ v1_xboole_0(k6_partfun1(X0)) ),
inference(superposition,[status(thm)],[c_2204,c_159904]) ).
tcf(c_161743,plain,
! [X0: $i] :
( v5_membered(X0)
| ~ v1_xboole_0(k6_partfun1(X0)) ),
inference(superposition,[status(thm)],[c_2204,c_159905]) ).
tcf(c_161754,plain,
! [X0: $i] :
( v4_membered(X0)
| ~ v1_xboole_0(k6_partfun1(X0)) ),
inference(superposition,[status(thm)],[c_2204,c_159906]) ).
tcf(c_161769,plain,
! [X0: $i,X1: $i] :
( v3_membered(k1_setfam_1(k2_tarski(X0,X1)))
| ~ v5_membered(X0) ),
inference(superposition,[status(thm)],[c_2532,c_1351]) ).
tcf(c_161770,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_membered(k2_zfmisc_1(k4_xboole_0(X0,X2),X1))
| ~ v5_membered(k2_zfmisc_1(X0,X1)) ),
inference(superposition,[status(thm)],[c_1713,c_1351]) ).
tcf(c_161771,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_membered(k2_zfmisc_1(X0,k4_xboole_0(X1,X2)))
| ~ v5_membered(k2_zfmisc_1(X0,X1)) ),
inference(superposition,[status(thm)],[c_1714,c_1351]) ).
tcf(c_161772,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_membered(k4_xboole_0(k4_xboole_0(X0,X1),X2))
| ~ v5_membered(X0) ),
inference(superposition,[status(thm)],[c_484,c_1351]) ).
tcf(c_161773,plain,
! [X0: $i] :
( v3_membered(X0)
| ~ v5_membered(X0) ),
inference(superposition,[status(thm)],[c_1740,c_1351]) ).
tcf(c_161775,plain,
! [X0: $i,X1: $i] :
( v3_membered(k4_xboole_0(X0,X1))
| ~ v5_membered(k3_tarski(k2_tarski(X0,X1))) ),
inference(superposition,[status(thm)],[c_485,c_1351]) ).
tcf(c_161798,plain,
! [X0: $i,X1: $i] :
( v4_membered(k1_setfam_1(k2_tarski(X0,X1)))
| ~ v5_membered(X0) ),
inference(superposition,[status(thm)],[c_2532,c_1352]) ).
tcf(c_161799,plain,
! [X0: $i,X1: $i,X2: $i] :
( v4_membered(k2_zfmisc_1(k4_xboole_0(X0,X2),X1))
| ~ v5_membered(k2_zfmisc_1(X0,X1)) ),
inference(superposition,[status(thm)],[c_1713,c_1352]) ).
tcf(c_161800,plain,
! [X0: $i,X1: $i,X2: $i] :
( v4_membered(k2_zfmisc_1(X0,k4_xboole_0(X1,X2)))
| ~ v5_membered(k2_zfmisc_1(X0,X1)) ),
inference(superposition,[status(thm)],[c_1714,c_1352]) ).
tcf(c_161801,plain,
! [X0: $i,X1: $i,X2: $i] :
( v4_membered(k4_xboole_0(k4_xboole_0(X0,X1),X2))
| ~ v5_membered(X0) ),
inference(superposition,[status(thm)],[c_484,c_1352]) ).
tcf(c_161804,plain,
! [X0: $i,X1: $i] :
( v4_membered(k4_xboole_0(X0,X1))
| ~ v5_membered(k3_tarski(k2_tarski(X0,X1))) ),
inference(superposition,[status(thm)],[c_485,c_1352]) ).
tcf(c_161825,plain,
! [X0: $i,X1: $i] :
( v5_membered(k1_setfam_1(k2_tarski(X0,X1)))
| ~ v5_membered(X0) ),
inference(superposition,[status(thm)],[c_2532,c_1353]) ).
tcf(c_161826,plain,
! [X0: $i,X1: $i,X2: $i] :
( v5_membered(k2_zfmisc_1(k4_xboole_0(X0,X2),X1))
| ~ v5_membered(k2_zfmisc_1(X0,X1)) ),
inference(superposition,[status(thm)],[c_1713,c_1353]) ).
tcf(c_161827,plain,
! [X0: $i,X1: $i,X2: $i] :
( v5_membered(k2_zfmisc_1(X0,k4_xboole_0(X1,X2)))
| ~ v5_membered(k2_zfmisc_1(X0,X1)) ),
inference(superposition,[status(thm)],[c_1714,c_1353]) ).
tcf(c_161828,plain,
! [X0: $i,X1: $i,X2: $i] :
( v5_membered(k4_xboole_0(k4_xboole_0(X0,X1),X2))
| ~ v5_membered(X0) ),
inference(superposition,[status(thm)],[c_484,c_1353]) ).
tcf(c_161831,plain,
! [X0: $i,X1: $i] :
( v5_membered(k4_xboole_0(X0,X1))
| ~ v5_membered(k3_tarski(k2_tarski(X0,X1))) ),
inference(superposition,[status(thm)],[c_485,c_1353]) ).
tcf(c_161854,plain,
v1_membered(sK52(k1_zfmisc_1(k5_numbers))),
inference(superposition,[status(thm)],[c_161,c_1400]) ).
tcf(c_161855,plain,
( v1_xboole_0(k5_numbers)
| v1_membered(sK87(k5_numbers)) ),
inference(superposition,[status(thm)],[c_593,c_1400]) ).
tcf(c_161878,plain,
! [X0: $i] :
( v3_membered(X0)
| ~ v1_xboole_0(k6_partfun1(X0)) ),
inference(superposition,[status(thm)],[c_2204,c_159907]) ).
tcf(c_161887,plain,
! [X0: $i] :
( v2_membered(X0)
| ~ v1_xboole_0(k6_partfun1(X0)) ),
inference(superposition,[status(thm)],[c_2204,c_159908]) ).
tcf(c_161896,plain,
! [X0: $i] :
( v1_membered(X0)
| ~ v1_xboole_0(k6_partfun1(X0)) ),
inference(superposition,[status(thm)],[c_2204,c_159909]) ).
tcf(c_161904,plain,
! [X0: $i] :
( v1_funct_1(X0)
| ~ v1_xboole_0(k6_partfun1(X0)) ),
inference(superposition,[status(thm)],[c_2204,c_159911]) ).
tcf(c_161911,plain,
! [X0: $i,X1: $i] :
( v2_funct_1(X0)
| ( X0 = np__0 )
| ~ v1_xboole_0(sK46(X0,X1)) ),
inference(superposition,[status(thm)],[c_102,c_159954]) ).
tcf(c_161912,plain,
! [X0: $i] :
( v2_funct_1(X0)
| ( X0 = np__0 )
| ~ v1_xboole_0(sK111(X0)) ),
inference(superposition,[status(thm)],[c_688,c_159954]) ).
tcf(c_161913,plain,
! [X0: $i] :
( v2_funct_1(X0)
| ( X0 = np__0 )
| ~ v1_xboole_0(sK112(X0)) ),
inference(superposition,[status(thm)],[c_689,c_159954]) ).
tcf(c_161914,plain,
! [X0: $i,X1: $i] :
( v2_funct_1(X1)
| ( X0 = np__0 )
| ~ v1_xboole_0(sK115(X0,X1)) ),
inference(superposition,[status(thm)],[c_718,c_159954]) ).
tcf(c_161934,plain,
! [X0: $i,X1: $i] :
( v1_realset1(X0)
| ( X0 = np__0 )
| ~ v1_xboole_0(sK46(X0,X1)) ),
inference(superposition,[status(thm)],[c_102,c_159955]) ).
tcf(c_161935,plain,
! [X0: $i] :
( v1_realset1(X0)
| ( X0 = np__0 )
| ~ v1_xboole_0(sK111(X0)) ),
inference(superposition,[status(thm)],[c_688,c_159955]) ).
tcf(c_161936,plain,
! [X0: $i] :
( v1_realset1(X0)
| ( X0 = np__0 )
| ~ v1_xboole_0(sK112(X0)) ),
inference(superposition,[status(thm)],[c_689,c_159955]) ).
tcf(c_161937,plain,
! [X0: $i,X1: $i] :
( v1_realset1(X1)
| ( X0 = np__0 )
| ~ v1_xboole_0(sK115(X0,X1)) ),
inference(superposition,[status(thm)],[c_718,c_159955]) ).
tcf(c_161957,plain,
! [X0: $i,X1: $i] :
( v1_finset_1(X0)
| ( X0 = np__0 )
| ~ v1_xboole_0(sK46(X0,X1)) ),
inference(superposition,[status(thm)],[c_102,c_159956]) ).
tcf(c_161958,plain,
! [X0: $i] :
( v1_finset_1(X0)
| ( X0 = np__0 )
| ~ v1_xboole_0(sK111(X0)) ),
inference(superposition,[status(thm)],[c_688,c_159956]) ).
tcf(c_161959,plain,
! [X0: $i] :
( v1_finset_1(X0)
| ( X0 = np__0 )
| ~ v1_xboole_0(sK112(X0)) ),
inference(superposition,[status(thm)],[c_689,c_159956]) ).
tcf(c_161960,plain,
! [X0: $i,X1: $i] :
( v1_finset_1(X1)
| ( X0 = np__0 )
| ~ v1_xboole_0(sK115(X0,X1)) ),
inference(superposition,[status(thm)],[c_718,c_159956]) ).
tcf(c_161980,plain,
! [X0: $i,X1: $i] :
( v5_membered(X0)
| ( X0 = np__0 )
| ~ v1_xboole_0(sK46(X0,X1)) ),
inference(superposition,[status(thm)],[c_102,c_159957]) ).
tcf(c_161981,plain,
! [X0: $i] :
( v5_membered(X0)
| ( X0 = np__0 )
| ~ v1_xboole_0(sK111(X0)) ),
inference(superposition,[status(thm)],[c_688,c_159957]) ).
tcf(c_161982,plain,
! [X0: $i] :
( v5_membered(X0)
| ( X0 = np__0 )
| ~ v1_xboole_0(sK112(X0)) ),
inference(superposition,[status(thm)],[c_689,c_159957]) ).
tcf(c_161983,plain,
! [X0: $i,X1: $i] :
( v5_membered(X1)
| ( X0 = np__0 )
| ~ v1_xboole_0(sK115(X0,X1)) ),
inference(superposition,[status(thm)],[c_718,c_159957]) ).
tcf(c_162007,plain,
! [X0: $i,X1: $i] :
( v4_membered(X0)
| ( X0 = np__0 )
| ~ v1_xboole_0(sK46(X0,X1)) ),
inference(superposition,[status(thm)],[c_102,c_159958]) ).
tcf(c_162008,plain,
! [X0: $i] :
( v4_membered(X0)
| ( X0 = np__0 )
| ~ v1_xboole_0(sK111(X0)) ),
inference(superposition,[status(thm)],[c_688,c_159958]) ).
tcf(c_162009,plain,
! [X0: $i] :
( v4_membered(X0)
| ( X0 = np__0 )
| ~ v1_xboole_0(sK112(X0)) ),
inference(superposition,[status(thm)],[c_689,c_159958]) ).
tcf(c_162010,plain,
! [X0: $i,X1: $i] :
( v4_membered(X1)
| ( X0 = np__0 )
| ~ v1_xboole_0(sK115(X0,X1)) ),
inference(superposition,[status(thm)],[c_718,c_159958]) ).
tcf(c_162052,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X1 = X3 )
| ( X1 = X2 )
| ( k2_tarski(X0,X1) != k2_tarski(X2,X3) ) ),
inference(superposition,[status(thm)],[c_2707,c_2702]) ).
tcf(c_162055,plain,
! [X0: $i,X1: $i] : r1_tarski(X0,k3_tarski(k2_tarski(X1,X0))),
inference(superposition,[status(thm)],[c_2707,c_497]) ).
tcf(c_162059,plain,
! [X0: $i,X1: $i,X2: $i] : k3_tarski(k2_tarski(k3_tarski(k2_tarski(X0,X1)),X2)) = k3_tarski(k2_tarski(X1,k3_tarski(k2_tarski(X0,X2)))),
inference(superposition,[status(thm)],[c_2707,c_500]) ).
tcf(c_162060,plain,
! [X0: $i,X1: $i] : k3_tarski(k2_tarski(X0,k3_tarski(k2_tarski(X1,X0)))) = k3_tarski(k2_tarski(X1,X0)),
inference(superposition,[status(thm)],[c_2707,c_498]) ).
tcf(c_162061,plain,
! [X0: $i,X1: $i] :
( ( X1 = np__0 )
| ( k3_tarski(k2_tarski(X0,X1)) != np__0 ) ),
inference(superposition,[status(thm)],[c_2707,c_487]) ).
tcf(c_162062,plain,
! [X0: $i,X1: $i] : k4_xboole_0(k3_tarski(k2_tarski(X0,X1)),X0) = k4_xboole_0(X1,X0),
inference(superposition,[status(thm)],[c_2707,c_485]) ).
tcf(c_162063,plain,
! [X0: $i,X1: $i,X2: $i] : k4_xboole_0(X0,k3_tarski(k2_tarski(X1,X2))) = k4_xboole_0(k4_xboole_0(X0,X2),X1),
inference(superposition,[status(thm)],[c_2707,c_484]) ).
tcf(c_162065,plain,
! [X0: $i,X1: $i] : k3_tarski(k2_tarski(k4_xboole_0(X0,X1),k4_xboole_0(X1,X0))) = k5_xboole_0(X1,X0),
inference(superposition,[status(thm)],[c_2707,c_2624]) ).
tcf(c_162066,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : k3_tarski(k2_tarski(k2_zfmisc_1(X0,k4_xboole_0(X1,X2)),k2_zfmisc_1(k4_xboole_0(X0,X3),X1))) = k4_xboole_0(k2_zfmisc_1(X0,X1),k2_zfmisc_1(X3,X2)),
inference(superposition,[status(thm)],[c_2707,c_471]) ).
tcf(c_162067,plain,
! [X0: $i,X1: $i,X2: $i] : k3_tarski(k2_tarski(k2_zfmisc_1(X0,X1),k2_zfmisc_1(X0,X2))) = k2_zfmisc_1(X0,k3_tarski(k2_tarski(X2,X1))),
inference(superposition,[status(thm)],[c_2707,c_474]) ).
tcf(c_162068,plain,
! [X0: $i,X1: $i,X2: $i] : k3_tarski(k2_tarski(k2_zfmisc_1(X0,X1),k2_zfmisc_1(X2,X1))) = k2_zfmisc_1(k3_tarski(k2_tarski(X2,X0)),X1),
inference(superposition,[status(thm)],[c_2707,c_473]) ).
tcf(c_162069,plain,
! [X0: $i,X1: $i,X2: $i] : k3_tarski(k2_tarski(X0,k3_tarski(k2_tarski(X1,X2)))) = k3_tarski(k2_tarski(X1,k3_tarski(k2_tarski(X2,X0)))),
inference(superposition,[status(thm)],[c_2707,c_500]) ).
tcf(c_162070,plain,
! [X0: $i,X1: $i,X2: $i] : k3_tarski(k2_tarski(k4_xboole_0(X0,X1),k4_xboole_0(X2,X1))) = k4_xboole_0(k3_tarski(k2_tarski(X2,X0)),X1),
inference(superposition,[status(thm)],[c_2707,c_483]) ).
tcf(c_162071,plain,
! [X0: $i] : r1_tarski(k2_tarski(np__0,X0),k1_zfmisc_1(X0)),
inference(superposition,[status(thm)],[c_2707,c_159660]) ).
tcf(c_162072,plain,
! [X0: $i] : k3_tarski(k2_tarski(np__0,X0)) = X0,
inference(superposition,[status(thm)],[c_2707,c_501]) ).
tcf(c_162075,plain,
! [X0: $i,X1: $i] : k3_tarski(k2_tarski(k3_tarski(X0),k3_tarski(X1))) = k3_tarski(k3_tarski(k2_tarski(X1,X0))),
inference(superposition,[status(thm)],[c_2707,c_2509]) ).
tcf(c_162076,plain,
! [X0: $i,X1: $i,X2: $i] : k3_tarski(k2_tarski(X0,k2_tarski(X1,X2))) != np__0,
inference(superposition,[status(thm)],[c_2707,c_2679]) ).
tcf(c_162088,plain,
v2_membered(sK52(k1_zfmisc_1(k5_numbers))),
inference(superposition,[status(thm)],[c_161,c_1401]) ).
tcf(c_162089,plain,
( v1_xboole_0(k5_numbers)
| v2_membered(sK87(k5_numbers)) ),
inference(superposition,[status(thm)],[c_593,c_1401]) ).
tcf(c_162097,plain,
v3_membered(sK52(k1_zfmisc_1(k5_numbers))),
inference(superposition,[status(thm)],[c_161,c_1402]) ).
tcf(c_162098,plain,
( v1_xboole_0(k5_numbers)
| v3_membered(sK87(k5_numbers)) ),
inference(superposition,[status(thm)],[c_593,c_1402]) ).
tcf(c_162106,plain,
v4_membered(sK52(k1_zfmisc_1(k5_numbers))),
inference(superposition,[status(thm)],[c_161,c_1403]) ).
tcf(c_162107,plain,
( v1_xboole_0(k5_numbers)
| v4_membered(sK87(k5_numbers)) ),
inference(superposition,[status(thm)],[c_593,c_1403]) ).
tcf(c_162115,plain,
v5_membered(sK52(k1_zfmisc_1(k5_numbers))),
inference(superposition,[status(thm)],[c_161,c_1404]) ).
tcf(c_162116,plain,
( v1_xboole_0(k5_numbers)
| v5_membered(sK87(k5_numbers)) ),
inference(superposition,[status(thm)],[c_593,c_1404]) ).
tcf(c_162154,plain,
! [X0: $i,X1: $i] :
( v3_membered(X0)
| ( X0 = np__0 )
| ~ v1_xboole_0(sK46(X0,X1)) ),
inference(superposition,[status(thm)],[c_102,c_159959]) ).
tcf(c_162155,plain,
! [X0: $i] :
( v3_membered(X0)
| ( X0 = np__0 )
| ~ v1_xboole_0(sK111(X0)) ),
inference(superposition,[status(thm)],[c_688,c_159959]) ).
tcf(c_162156,plain,
! [X0: $i] :
( v3_membered(X0)
| ( X0 = np__0 )
| ~ v1_xboole_0(sK112(X0)) ),
inference(superposition,[status(thm)],[c_689,c_159959]) ).
tcf(c_162157,plain,
! [X0: $i,X1: $i] :
( v3_membered(X1)
| ( X0 = np__0 )
| ~ v1_xboole_0(sK115(X0,X1)) ),
inference(superposition,[status(thm)],[c_718,c_159959]) ).
tcf(c_162178,plain,
! [X0: $i,X1: $i] :
( v2_membered(X0)
| ( X0 = np__0 )
| ~ v1_xboole_0(sK46(X0,X1)) ),
inference(superposition,[status(thm)],[c_102,c_159960]) ).
tcf(c_162179,plain,
! [X0: $i] :
( v2_membered(X0)
| ( X0 = np__0 )
| ~ v1_xboole_0(sK111(X0)) ),
inference(superposition,[status(thm)],[c_688,c_159960]) ).
tcf(c_162180,plain,
! [X0: $i] :
( v2_membered(X0)
| ( X0 = np__0 )
| ~ v1_xboole_0(sK112(X0)) ),
inference(superposition,[status(thm)],[c_689,c_159960]) ).
tcf(c_162181,plain,
! [X0: $i,X1: $i] :
( v2_membered(X1)
| ( X0 = np__0 )
| ~ v1_xboole_0(sK115(X0,X1)) ),
inference(superposition,[status(thm)],[c_718,c_159960]) ).
tcf(c_162202,plain,
! [X0: $i,X1: $i] :
( v1_membered(X0)
| ( X0 = np__0 )
| ~ v1_xboole_0(sK46(X0,X1)) ),
inference(superposition,[status(thm)],[c_102,c_159961]) ).
tcf(c_162203,plain,
! [X0: $i] :
( v1_membered(X0)
| ( X0 = np__0 )
| ~ v1_xboole_0(sK111(X0)) ),
inference(superposition,[status(thm)],[c_688,c_159961]) ).
tcf(c_162204,plain,
! [X0: $i] :
( v1_membered(X0)
| ( X0 = np__0 )
| ~ v1_xboole_0(sK112(X0)) ),
inference(superposition,[status(thm)],[c_689,c_159961]) ).
tcf(c_162205,plain,
! [X0: $i,X1: $i] :
( v1_membered(X1)
| ( X0 = np__0 )
| ~ v1_xboole_0(sK115(X0,X1)) ),
inference(superposition,[status(thm)],[c_718,c_159961]) ).
tcf(c_162225,plain,
! [X0: $i,X1: $i] :
( v1_funct_1(X0)
| ( X0 = np__0 )
| ~ v1_xboole_0(sK46(X0,X1)) ),
inference(superposition,[status(thm)],[c_102,c_159963]) ).
tcf(c_162226,plain,
! [X0: $i] :
( v1_funct_1(X0)
| ( X0 = np__0 )
| ~ v1_xboole_0(sK111(X0)) ),
inference(superposition,[status(thm)],[c_688,c_159963]) ).
tcf(c_162227,plain,
! [X0: $i] :
( v1_funct_1(X0)
| ( X0 = np__0 )
| ~ v1_xboole_0(sK112(X0)) ),
inference(superposition,[status(thm)],[c_689,c_159963]) ).
tcf(c_162228,plain,
! [X0: $i,X1: $i] :
( v1_funct_1(X1)
| ( X0 = np__0 )
| ~ v1_xboole_0(sK115(X0,X1)) ),
inference(superposition,[status(thm)],[c_718,c_159963]) ).
tcf(c_162257,plain,
! [X0: $i] :
( v4_membered(k3_tarski(X0))
| m1_subset_1(sK231(X0),X0) ),
inference(superposition,[status(thm)],[c_1413,c_626]) ).
tcf(c_162258,plain,
! [X0: $i] :
( v4_membered(k3_tarski(X0))
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_1413,c_597]) ).
tcf(c_162259,plain,
v4_membered(k3_tarski(np__0)),
inference(superposition,[status(thm)],[c_1413,c_698]) ).
tcf(c_162260,plain,
( v1_int_1(sK231(k4_numbers))
| v4_membered(k3_tarski(k4_numbers)) ),
inference(superposition,[status(thm)],[c_1413,c_2722]) ).
tcf(c_162261,plain,
( v1_xreal_0(sK231(k1_numbers))
| v4_membered(k3_tarski(k1_numbers)) ),
inference(superposition,[status(thm)],[c_1413,c_2743]) ).
tcf(c_162277,plain,
! [X0: $i,X1: $i] :
( v1_membered(k1_setfam_1(k2_tarski(X0,X1)))
| ~ v4_membered(X0) ),
inference(superposition,[status(thm)],[c_2532,c_1440]) ).
tcf(c_162278,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_membered(k2_zfmisc_1(k4_xboole_0(X0,X2),X1))
| ~ v4_membered(k2_zfmisc_1(X0,X1)) ),
inference(superposition,[status(thm)],[c_1713,c_1440]) ).
tcf(c_162279,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_membered(k2_zfmisc_1(X0,k4_xboole_0(X1,X2)))
| ~ v4_membered(k2_zfmisc_1(X0,X1)) ),
inference(superposition,[status(thm)],[c_1714,c_1440]) ).
tcf(c_162280,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_membered(k4_xboole_0(k4_xboole_0(X0,X1),X2))
| ~ v4_membered(X0) ),
inference(superposition,[status(thm)],[c_484,c_1440]) ).
tcf(c_162281,plain,
! [X0: $i] :
( v1_membered(X0)
| ~ v4_membered(X0) ),
inference(superposition,[status(thm)],[c_1740,c_1440]) ).
tcf(c_162283,plain,
! [X0: $i,X1: $i] :
( v1_membered(k4_xboole_0(X0,X1))
| ~ v4_membered(k3_tarski(k2_tarski(X0,X1))) ),
inference(superposition,[status(thm)],[c_485,c_1440]) ).
tcf(c_162305,plain,
! [X0: $i,X1: $i] :
( v2_membered(k1_setfam_1(k2_tarski(X0,X1)))
| ~ v4_membered(X0) ),
inference(superposition,[status(thm)],[c_2532,c_1441]) ).
tcf(c_162306,plain,
! [X0: $i,X1: $i,X2: $i] :
( v2_membered(k2_zfmisc_1(k4_xboole_0(X0,X2),X1))
| ~ v4_membered(k2_zfmisc_1(X0,X1)) ),
inference(superposition,[status(thm)],[c_1713,c_1441]) ).
tcf(c_162307,plain,
! [X0: $i,X1: $i,X2: $i] :
( v2_membered(k2_zfmisc_1(X0,k4_xboole_0(X1,X2)))
| ~ v4_membered(k2_zfmisc_1(X0,X1)) ),
inference(superposition,[status(thm)],[c_1714,c_1441]) ).
tcf(c_162308,plain,
! [X0: $i,X1: $i,X2: $i] :
( v2_membered(k4_xboole_0(k4_xboole_0(X0,X1),X2))
| ~ v4_membered(X0) ),
inference(superposition,[status(thm)],[c_484,c_1441]) ).
tcf(c_162309,plain,
! [X0: $i] :
( v2_membered(X0)
| ~ v4_membered(X0) ),
inference(superposition,[status(thm)],[c_1740,c_1441]) ).
tcf(c_162311,plain,
! [X0: $i,X1: $i] :
( v2_membered(k4_xboole_0(X0,X1))
| ~ v4_membered(k3_tarski(k2_tarski(X0,X1))) ),
inference(superposition,[status(thm)],[c_485,c_1441]) ).
tcf(c_162362,plain,
! [X0: $i] :
( l1_struct_0(k1_lattice2(X0))
| ~ l3_lattices(X0) ),
inference(superposition,[status(thm)],[c_160103,c_1919]) ).
tcf(c_162385,plain,
! [X0: $i,X1: $i] : r1_tarski(k1_setfam_1(k2_tarski(X0,X1)),X1),
inference(superposition,[status(thm)],[c_2707,c_160602]) ).
tcf(c_162412,plain,
! [X0: $i] :
( v5_membered(k6_partfun1(X0))
| ~ v1_xboole_0(k6_partfun1(X0)) ),
inference(superposition,[status(thm)],[c_3376,c_160746]) ).
tcf(c_162413,plain,
! [X0: $i] :
( v1_finset_1(k6_partfun1(X0))
| ~ v1_xboole_0(k6_partfun1(X0)) ),
inference(superposition,[status(thm)],[c_3376,c_160745]) ).
tcf(c_162414,plain,
! [X0: $i] :
( v1_realset1(k6_partfun1(X0))
| ~ v1_xboole_0(k6_partfun1(X0)) ),
inference(superposition,[status(thm)],[c_3376,c_160744]) ).
tcf(c_162432,plain,
! [X0: $i,X1: $i] :
( v3_membered(k1_setfam_1(k2_tarski(X0,X1)))
| ~ v4_membered(X0) ),
inference(superposition,[status(thm)],[c_2532,c_1442]) ).
tcf(c_162433,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_membered(k2_zfmisc_1(k4_xboole_0(X0,X2),X1))
| ~ v4_membered(k2_zfmisc_1(X0,X1)) ),
inference(superposition,[status(thm)],[c_1713,c_1442]) ).
tcf(c_162434,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_membered(k2_zfmisc_1(X0,k4_xboole_0(X1,X2)))
| ~ v4_membered(k2_zfmisc_1(X0,X1)) ),
inference(superposition,[status(thm)],[c_1714,c_1442]) ).
tcf(c_162435,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_membered(k4_xboole_0(k4_xboole_0(X0,X1),X2))
| ~ v4_membered(X0) ),
inference(superposition,[status(thm)],[c_484,c_1442]) ).
tcf(c_162438,plain,
! [X0: $i,X1: $i] :
( v3_membered(k4_xboole_0(X0,X1))
| ~ v4_membered(k3_tarski(k2_tarski(X0,X1))) ),
inference(superposition,[status(thm)],[c_485,c_1442]) ).
tcf(c_162459,plain,
! [X0: $i,X1: $i] :
( v4_membered(k1_setfam_1(k2_tarski(X0,X1)))
| ~ v4_membered(X0) ),
inference(superposition,[status(thm)],[c_2532,c_1443]) ).
tcf(c_162460,plain,
! [X0: $i,X1: $i,X2: $i] :
( v4_membered(k2_zfmisc_1(k4_xboole_0(X0,X2),X1))
| ~ v4_membered(k2_zfmisc_1(X0,X1)) ),
inference(superposition,[status(thm)],[c_1713,c_1443]) ).
tcf(c_162461,plain,
! [X0: $i,X1: $i,X2: $i] :
( v4_membered(k2_zfmisc_1(X0,k4_xboole_0(X1,X2)))
| ~ v4_membered(k2_zfmisc_1(X0,X1)) ),
inference(superposition,[status(thm)],[c_1714,c_1443]) ).
tcf(c_162462,plain,
! [X0: $i,X1: $i,X2: $i] :
( v4_membered(k4_xboole_0(k4_xboole_0(X0,X1),X2))
| ~ v4_membered(X0) ),
inference(superposition,[status(thm)],[c_484,c_1443]) ).
tcf(c_162465,plain,
! [X0: $i,X1: $i] :
( v4_membered(k4_xboole_0(X0,X1))
| ~ v4_membered(k3_tarski(k2_tarski(X0,X1))) ),
inference(superposition,[status(thm)],[c_485,c_1443]) ).
tcf(c_162488,plain,
v1_membered(sK52(k1_zfmisc_1(k4_numbers))),
inference(superposition,[status(thm)],[c_161,c_1477]) ).
tcf(c_162489,plain,
( v1_xboole_0(k4_numbers)
| v1_membered(sK87(k4_numbers)) ),
inference(superposition,[status(thm)],[c_593,c_1477]) ).
tcf(c_162491,plain,
v1_membered(sK87(k4_numbers)),
inference(forward_subsumption_resolution,[status(thm)],[c_162489,c_2733]) ).
tcf(c_162496,plain,
v2_membered(sK52(k1_zfmisc_1(k4_numbers))),
inference(superposition,[status(thm)],[c_161,c_1478]) ).
tcf(c_162497,plain,
( v1_xboole_0(k4_numbers)
| v2_membered(sK87(k4_numbers)) ),
inference(superposition,[status(thm)],[c_593,c_1478]) ).
tcf(c_162499,plain,
v2_membered(sK87(k4_numbers)),
inference(forward_subsumption_resolution,[status(thm)],[c_162497,c_2733]) ).
tcf(c_162506,plain,
! [X0: $i] :
( v4_membered(k6_partfun1(X0))
| ~ v1_xboole_0(k6_partfun1(X0)) ),
inference(superposition,[status(thm)],[c_3376,c_160747]) ).
tcf(c_162518,plain,
! [X0: $i] :
( v3_membered(k6_partfun1(X0))
| ~ v1_xboole_0(k6_partfun1(X0)) ),
inference(superposition,[status(thm)],[c_3376,c_160748]) ).
tcf(c_162528,plain,
! [X0: $i] :
( v2_membered(k6_partfun1(X0))
| ~ v1_xboole_0(k6_partfun1(X0)) ),
inference(superposition,[status(thm)],[c_3376,c_160749]) ).
tcf(c_162538,plain,
! [X0: $i] :
( v1_membered(k6_partfun1(X0))
| ~ v1_xboole_0(k6_partfun1(X0)) ),
inference(superposition,[status(thm)],[c_3376,c_160750]) ).
tcf(c_162554,plain,
! [X0: $i] : k3_tarski(k2_tarski(np__0,X0)) = k4_xboole_0(X0,np__0),
inference(superposition,[status(thm)],[c_160917,c_2606]) ).
tcf(c_162565,plain,
! [X0: $i] : k6_partfun1(k3_tarski(k2_tarski(np__0,X0))) = k1_funct_4(np__0,k6_partfun1(X0)),
inference(superposition,[status(thm)],[c_2188,c_3493]) ).
tcf(c_162566,plain,
! [X0: $i] : k6_partfun1(k3_tarski(k2_tarski(X0,np__0))) = k1_funct_4(k6_partfun1(X0),np__0),
inference(superposition,[status(thm)],[c_2188,c_3493]) ).
tcf(c_162567,plain,
! [X0: $i] : k1_funct_4(k6_partfun1(X0),np__0) = k6_partfun1(X0),
inference(light_normalisation,[status(thm)],[c_162566,c_501]) ).
tcf(c_162568,plain,
! [X0: $i] : k1_funct_4(np__0,k6_partfun1(X0)) = k6_partfun1(X0),
inference(light_normalisation,[status(thm)],[c_162565,c_162072]) ).
tcf(c_162575,plain,
v3_membered(sK52(k1_zfmisc_1(k4_numbers))),
inference(superposition,[status(thm)],[c_161,c_1479]) ).
tcf(c_162576,plain,
( v1_xboole_0(k4_numbers)
| v3_membered(sK87(k4_numbers)) ),
inference(superposition,[status(thm)],[c_593,c_1479]) ).
tcf(c_162578,plain,
v3_membered(sK87(k4_numbers)),
inference(forward_subsumption_resolution,[status(thm)],[c_162576,c_2733]) ).
tcf(c_162583,plain,
v4_membered(sK52(k1_zfmisc_1(k4_numbers))),
inference(superposition,[status(thm)],[c_161,c_1480]) ).
tcf(c_162584,plain,
( v1_xboole_0(k4_numbers)
| v4_membered(sK87(k4_numbers)) ),
inference(superposition,[status(thm)],[c_593,c_1480]) ).
tcf(c_162586,plain,
v4_membered(sK87(k4_numbers)),
inference(forward_subsumption_resolution,[status(thm)],[c_162584,c_2733]) ).
tcf(c_162595,plain,
! [X0: $i] :
( v3_membered(k3_tarski(X0))
| m1_subset_1(sK238(X0),X0) ),
inference(superposition,[status(thm)],[c_1483,c_626]) ).
tcf(c_162596,plain,
! [X0: $i] :
( v3_membered(k3_tarski(X0))
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_1483,c_597]) ).
tcf(c_162597,plain,
v3_membered(k3_tarski(np__0)),
inference(superposition,[status(thm)],[c_1483,c_698]) ).
tcf(c_162598,plain,
( v1_int_1(sK238(k4_numbers))
| v3_membered(k3_tarski(k4_numbers)) ),
inference(superposition,[status(thm)],[c_1483,c_2722]) ).
tcf(c_162599,plain,
( v1_xreal_0(sK238(k1_numbers))
| v3_membered(k3_tarski(k1_numbers)) ),
inference(superposition,[status(thm)],[c_1483,c_2743]) ).
tcf(c_162635,plain,
( v1_relat_1(k1_zfmisc_1(k5_numbers))
| v5_membered(sK146(k1_zfmisc_1(k5_numbers))) ),
inference(superposition,[status(thm)],[c_161344,c_1404]) ).
tcf(c_162636,plain,
( v1_relat_1(k1_zfmisc_1(k5_numbers))
| v4_membered(sK146(k1_zfmisc_1(k5_numbers))) ),
inference(superposition,[status(thm)],[c_161344,c_1403]) ).
tcf(c_162637,plain,
( v1_relat_1(k1_zfmisc_1(k5_numbers))
| v3_membered(sK146(k1_zfmisc_1(k5_numbers))) ),
inference(superposition,[status(thm)],[c_161344,c_1402]) ).
tcf(c_162638,plain,
( v1_relat_1(k1_zfmisc_1(k5_numbers))
| v2_membered(sK146(k1_zfmisc_1(k5_numbers))) ),
inference(superposition,[status(thm)],[c_161344,c_1401]) ).
tcf(c_162639,plain,
( v1_relat_1(k1_zfmisc_1(k5_numbers))
| v1_membered(sK146(k1_zfmisc_1(k5_numbers))) ),
inference(superposition,[status(thm)],[c_161344,c_1400]) ).
tcf(c_162640,plain,
( v1_relat_1(k1_zfmisc_1(k4_numbers))
| v4_membered(sK146(k1_zfmisc_1(k4_numbers))) ),
inference(superposition,[status(thm)],[c_161344,c_1480]) ).
tcf(c_162641,plain,
( v1_relat_1(k1_zfmisc_1(k4_numbers))
| v3_membered(sK146(k1_zfmisc_1(k4_numbers))) ),
inference(superposition,[status(thm)],[c_161344,c_1479]) ).
tcf(c_162642,plain,
( v1_relat_1(k1_zfmisc_1(k4_numbers))
| v2_membered(sK146(k1_zfmisc_1(k4_numbers))) ),
inference(superposition,[status(thm)],[c_161344,c_1478]) ).
tcf(c_162643,plain,
( v1_relat_1(k1_zfmisc_1(k4_numbers))
| v1_membered(sK146(k1_zfmisc_1(k4_numbers))) ),
inference(superposition,[status(thm)],[c_161344,c_1477]) ).
tcf(c_162667,plain,
( v5_membered(k1_zfmisc_1(k5_numbers))
| v5_membered(sK229(k1_zfmisc_1(k5_numbers))) ),
inference(superposition,[status(thm)],[c_161345,c_1404]) ).
tcf(c_162668,plain,
( v5_membered(k1_zfmisc_1(k5_numbers))
| v4_membered(sK229(k1_zfmisc_1(k5_numbers))) ),
inference(superposition,[status(thm)],[c_161345,c_1403]) ).
tcf(c_162669,plain,
( v5_membered(k1_zfmisc_1(k5_numbers))
| v3_membered(sK229(k1_zfmisc_1(k5_numbers))) ),
inference(superposition,[status(thm)],[c_161345,c_1402]) ).
tcf(c_162670,plain,
( v5_membered(k1_zfmisc_1(k5_numbers))
| v2_membered(sK229(k1_zfmisc_1(k5_numbers))) ),
inference(superposition,[status(thm)],[c_161345,c_1401]) ).
tcf(c_162671,plain,
( v5_membered(k1_zfmisc_1(k5_numbers))
| v1_membered(sK229(k1_zfmisc_1(k5_numbers))) ),
inference(superposition,[status(thm)],[c_161345,c_1400]) ).
tcf(c_162672,plain,
( v5_membered(k1_zfmisc_1(k4_numbers))
| v4_membered(sK229(k1_zfmisc_1(k4_numbers))) ),
inference(superposition,[status(thm)],[c_161345,c_1480]) ).
tcf(c_162673,plain,
( v5_membered(k1_zfmisc_1(k4_numbers))
| v3_membered(sK229(k1_zfmisc_1(k4_numbers))) ),
inference(superposition,[status(thm)],[c_161345,c_1479]) ).
tcf(c_162674,plain,
( v5_membered(k1_zfmisc_1(k4_numbers))
| v2_membered(sK229(k1_zfmisc_1(k4_numbers))) ),
inference(superposition,[status(thm)],[c_161345,c_1478]) ).
tcf(c_162675,plain,
( v5_membered(k1_zfmisc_1(k4_numbers))
| v1_membered(sK229(k1_zfmisc_1(k4_numbers))) ),
inference(superposition,[status(thm)],[c_161345,c_1477]) ).
tcf(c_162699,plain,
( v4_membered(k1_zfmisc_1(k5_numbers))
| v5_membered(sK237(k1_zfmisc_1(k5_numbers))) ),
inference(superposition,[status(thm)],[c_161346,c_1404]) ).
tcf(c_162700,plain,
( v4_membered(k1_zfmisc_1(k5_numbers))
| v4_membered(sK237(k1_zfmisc_1(k5_numbers))) ),
inference(superposition,[status(thm)],[c_161346,c_1403]) ).
tcf(c_162701,plain,
( v4_membered(k1_zfmisc_1(k5_numbers))
| v3_membered(sK237(k1_zfmisc_1(k5_numbers))) ),
inference(superposition,[status(thm)],[c_161346,c_1402]) ).
tcf(c_162702,plain,
( v4_membered(k1_zfmisc_1(k5_numbers))
| v2_membered(sK237(k1_zfmisc_1(k5_numbers))) ),
inference(superposition,[status(thm)],[c_161346,c_1401]) ).
tcf(c_162703,plain,
( v4_membered(k1_zfmisc_1(k5_numbers))
| v1_membered(sK237(k1_zfmisc_1(k5_numbers))) ),
inference(superposition,[status(thm)],[c_161346,c_1400]) ).
tcf(c_162704,plain,
( v4_membered(k1_zfmisc_1(k4_numbers))
| v4_membered(sK237(k1_zfmisc_1(k4_numbers))) ),
inference(superposition,[status(thm)],[c_161346,c_1480]) ).
tcf(c_162705,plain,
( v4_membered(k1_zfmisc_1(k4_numbers))
| v3_membered(sK237(k1_zfmisc_1(k4_numbers))) ),
inference(superposition,[status(thm)],[c_161346,c_1479]) ).
tcf(c_162706,plain,
( v4_membered(k1_zfmisc_1(k4_numbers))
| v2_membered(sK237(k1_zfmisc_1(k4_numbers))) ),
inference(superposition,[status(thm)],[c_161346,c_1478]) ).
tcf(c_162707,plain,
( v4_membered(k1_zfmisc_1(k4_numbers))
| v1_membered(sK237(k1_zfmisc_1(k4_numbers))) ),
inference(superposition,[status(thm)],[c_161346,c_1477]) ).
tcf(c_162731,plain,
( v2_membered(k1_zfmisc_1(k5_numbers))
| v5_membered(sK245(k1_zfmisc_1(k5_numbers))) ),
inference(superposition,[status(thm)],[c_161347,c_1404]) ).
tcf(c_162732,plain,
( v2_membered(k1_zfmisc_1(k5_numbers))
| v4_membered(sK245(k1_zfmisc_1(k5_numbers))) ),
inference(superposition,[status(thm)],[c_161347,c_1403]) ).
tcf(c_162733,plain,
( v2_membered(k1_zfmisc_1(k5_numbers))
| v3_membered(sK245(k1_zfmisc_1(k5_numbers))) ),
inference(superposition,[status(thm)],[c_161347,c_1402]) ).
tcf(c_162734,plain,
( v2_membered(k1_zfmisc_1(k5_numbers))
| v2_membered(sK245(k1_zfmisc_1(k5_numbers))) ),
inference(superposition,[status(thm)],[c_161347,c_1401]) ).
tcf(c_162735,plain,
( v2_membered(k1_zfmisc_1(k5_numbers))
| v1_membered(sK245(k1_zfmisc_1(k5_numbers))) ),
inference(superposition,[status(thm)],[c_161347,c_1400]) ).
tcf(c_162736,plain,
( v2_membered(k1_zfmisc_1(k4_numbers))
| v4_membered(sK245(k1_zfmisc_1(k4_numbers))) ),
inference(superposition,[status(thm)],[c_161347,c_1480]) ).
tcf(c_162737,plain,
( v2_membered(k1_zfmisc_1(k4_numbers))
| v3_membered(sK245(k1_zfmisc_1(k4_numbers))) ),
inference(superposition,[status(thm)],[c_161347,c_1479]) ).
tcf(c_162738,plain,
( v2_membered(k1_zfmisc_1(k4_numbers))
| v2_membered(sK245(k1_zfmisc_1(k4_numbers))) ),
inference(superposition,[status(thm)],[c_161347,c_1478]) ).
tcf(c_162739,plain,
( v2_membered(k1_zfmisc_1(k4_numbers))
| v1_membered(sK245(k1_zfmisc_1(k4_numbers))) ),
inference(superposition,[status(thm)],[c_161347,c_1477]) ).
tcf(c_162765,plain,
! [X0: $i,X1: $i] :
( v1_membered(k1_setfam_1(k2_tarski(X0,X1)))
| ~ v3_membered(X0) ),
inference(superposition,[status(thm)],[c_2532,c_1489]) ).
tcf(c_162766,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_membered(k2_zfmisc_1(k4_xboole_0(X0,X2),X1))
| ~ v3_membered(k2_zfmisc_1(X0,X1)) ),
inference(superposition,[status(thm)],[c_1713,c_1489]) ).
tcf(c_162767,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_membered(k2_zfmisc_1(X0,k4_xboole_0(X1,X2)))
| ~ v3_membered(k2_zfmisc_1(X0,X1)) ),
inference(superposition,[status(thm)],[c_1714,c_1489]) ).
tcf(c_162768,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_membered(k4_xboole_0(k4_xboole_0(X0,X1),X2))
| ~ v3_membered(X0) ),
inference(superposition,[status(thm)],[c_484,c_1489]) ).
tcf(c_162769,plain,
! [X0: $i] :
( v1_membered(X0)
| ~ v3_membered(X0) ),
inference(superposition,[status(thm)],[c_1740,c_1489]) ).
tcf(c_162771,plain,
! [X0: $i,X1: $i] :
( v1_membered(k4_xboole_0(X0,X1))
| ~ v3_membered(k3_tarski(k2_tarski(X0,X1))) ),
inference(superposition,[status(thm)],[c_485,c_1489]) ).
tcf(c_162793,plain,
! [X0: $i,X1: $i] :
( v2_membered(k1_setfam_1(k2_tarski(X0,X1)))
| ~ v3_membered(X0) ),
inference(superposition,[status(thm)],[c_2532,c_1490]) ).
tcf(c_162794,plain,
! [X0: $i,X1: $i,X2: $i] :
( v2_membered(k2_zfmisc_1(k4_xboole_0(X0,X2),X1))
| ~ v3_membered(k2_zfmisc_1(X0,X1)) ),
inference(superposition,[status(thm)],[c_1713,c_1490]) ).
tcf(c_162795,plain,
! [X0: $i,X1: $i,X2: $i] :
( v2_membered(k2_zfmisc_1(X0,k4_xboole_0(X1,X2)))
| ~ v3_membered(k2_zfmisc_1(X0,X1)) ),
inference(superposition,[status(thm)],[c_1714,c_1490]) ).
tcf(c_162796,plain,
! [X0: $i,X1: $i,X2: $i] :
( v2_membered(k4_xboole_0(k4_xboole_0(X0,X1),X2))
| ~ v3_membered(X0) ),
inference(superposition,[status(thm)],[c_484,c_1490]) ).
tcf(c_162799,plain,
! [X0: $i,X1: $i] :
( v2_membered(k4_xboole_0(X0,X1))
| ~ v3_membered(k3_tarski(k2_tarski(X0,X1))) ),
inference(superposition,[status(thm)],[c_485,c_1490]) ).
tcf(c_162820,plain,
! [X0: $i,X1: $i] :
( v3_membered(k1_setfam_1(k2_tarski(X0,X1)))
| ~ v3_membered(X0) ),
inference(superposition,[status(thm)],[c_2532,c_1491]) ).
tcf(c_162821,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_membered(k2_zfmisc_1(k4_xboole_0(X0,X2),X1))
| ~ v3_membered(k2_zfmisc_1(X0,X1)) ),
inference(superposition,[status(thm)],[c_1713,c_1491]) ).
tcf(c_162822,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_membered(k2_zfmisc_1(X0,k4_xboole_0(X1,X2)))
| ~ v3_membered(k2_zfmisc_1(X0,X1)) ),
inference(superposition,[status(thm)],[c_1714,c_1491]) ).
tcf(c_162823,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_membered(k4_xboole_0(k4_xboole_0(X0,X1),X2))
| ~ v3_membered(X0) ),
inference(superposition,[status(thm)],[c_484,c_1491]) ).
tcf(c_162826,plain,
! [X0: $i,X1: $i] :
( v3_membered(k4_xboole_0(X0,X1))
| ~ v3_membered(k3_tarski(k2_tarski(X0,X1))) ),
inference(superposition,[status(thm)],[c_485,c_1491]) ).
tcf(c_162847,plain,
v1_membered(sK52(k1_zfmisc_1(k3_numbers))),
inference(superposition,[status(thm)],[c_161,c_1508]) ).
tcf(c_162848,plain,
( v1_xboole_0(k3_numbers)
| v1_membered(sK87(k3_numbers)) ),
inference(superposition,[status(thm)],[c_593,c_1508]) ).
tcf(c_162850,plain,
( v1_relat_1(k1_zfmisc_1(k3_numbers))
| v1_membered(sK146(k1_zfmisc_1(k3_numbers))) ),
inference(superposition,[status(thm)],[c_161344,c_1508]) ).
tcf(c_162851,plain,
( v5_membered(k1_zfmisc_1(k3_numbers))
| v1_membered(sK229(k1_zfmisc_1(k3_numbers))) ),
inference(superposition,[status(thm)],[c_161345,c_1508]) ).
tcf(c_162852,plain,
( v4_membered(k1_zfmisc_1(k3_numbers))
| v1_membered(sK237(k1_zfmisc_1(k3_numbers))) ),
inference(superposition,[status(thm)],[c_161346,c_1508]) ).
tcf(c_162853,plain,
( v2_membered(k1_zfmisc_1(k3_numbers))
| v1_membered(sK245(k1_zfmisc_1(k3_numbers))) ),
inference(superposition,[status(thm)],[c_161347,c_1508]) ).
tcf(c_162854,plain,
v1_membered(sK87(k3_numbers)),
inference(forward_subsumption_resolution,[status(thm)],[c_162848,c_2740]) ).
tcf(c_162887,plain,
( v1_membered(k1_zfmisc_1(k5_numbers))
| v5_membered(sK251(k1_zfmisc_1(k5_numbers))) ),
inference(superposition,[status(thm)],[c_161348,c_1404]) ).
tcf(c_162888,plain,
( v1_membered(k1_zfmisc_1(k5_numbers))
| v4_membered(sK251(k1_zfmisc_1(k5_numbers))) ),
inference(superposition,[status(thm)],[c_161348,c_1403]) ).
tcf(c_162889,plain,
( v1_membered(k1_zfmisc_1(k5_numbers))
| v3_membered(sK251(k1_zfmisc_1(k5_numbers))) ),
inference(superposition,[status(thm)],[c_161348,c_1402]) ).
tcf(c_162890,plain,
( v1_membered(k1_zfmisc_1(k5_numbers))
| v2_membered(sK251(k1_zfmisc_1(k5_numbers))) ),
inference(superposition,[status(thm)],[c_161348,c_1401]) ).
tcf(c_162891,plain,
( v1_membered(k1_zfmisc_1(k5_numbers))
| v1_membered(sK251(k1_zfmisc_1(k5_numbers))) ),
inference(superposition,[status(thm)],[c_161348,c_1400]) ).
tcf(c_162892,plain,
( v1_membered(k1_zfmisc_1(k4_numbers))
| v4_membered(sK251(k1_zfmisc_1(k4_numbers))) ),
inference(superposition,[status(thm)],[c_161348,c_1480]) ).
tcf(c_162893,plain,
( v1_membered(k1_zfmisc_1(k4_numbers))
| v3_membered(sK251(k1_zfmisc_1(k4_numbers))) ),
inference(superposition,[status(thm)],[c_161348,c_1479]) ).
tcf(c_162894,plain,
( v1_membered(k1_zfmisc_1(k4_numbers))
| v2_membered(sK251(k1_zfmisc_1(k4_numbers))) ),
inference(superposition,[status(thm)],[c_161348,c_1478]) ).
tcf(c_162895,plain,
( v1_membered(k1_zfmisc_1(k4_numbers))
| v1_membered(sK251(k1_zfmisc_1(k4_numbers))) ),
inference(superposition,[status(thm)],[c_161348,c_1477]) ).
tcf(c_162896,plain,
( v1_membered(k1_zfmisc_1(k3_numbers))
| v1_membered(sK251(k1_zfmisc_1(k3_numbers))) ),
inference(superposition,[status(thm)],[c_161348,c_1508]) ).
tcf(c_162922,plain,
( v1_realset1(k1_zfmisc_1(k5_numbers))
| v5_membered(sK315(k1_zfmisc_1(k5_numbers))) ),
inference(superposition,[status(thm)],[c_161349,c_1404]) ).
tcf(c_162923,plain,
( v1_realset1(k1_zfmisc_1(k5_numbers))
| v4_membered(sK315(k1_zfmisc_1(k5_numbers))) ),
inference(superposition,[status(thm)],[c_161349,c_1403]) ).
tcf(c_162924,plain,
( v1_realset1(k1_zfmisc_1(k5_numbers))
| v3_membered(sK315(k1_zfmisc_1(k5_numbers))) ),
inference(superposition,[status(thm)],[c_161349,c_1402]) ).
tcf(c_162925,plain,
( v1_realset1(k1_zfmisc_1(k5_numbers))
| v2_membered(sK315(k1_zfmisc_1(k5_numbers))) ),
inference(superposition,[status(thm)],[c_161349,c_1401]) ).
tcf(c_162926,plain,
( v1_realset1(k1_zfmisc_1(k5_numbers))
| v1_membered(sK315(k1_zfmisc_1(k5_numbers))) ),
inference(superposition,[status(thm)],[c_161349,c_1400]) ).
tcf(c_162927,plain,
( v1_realset1(k1_zfmisc_1(k4_numbers))
| v4_membered(sK315(k1_zfmisc_1(k4_numbers))) ),
inference(superposition,[status(thm)],[c_161349,c_1480]) ).
tcf(c_162928,plain,
( v1_realset1(k1_zfmisc_1(k4_numbers))
| v3_membered(sK315(k1_zfmisc_1(k4_numbers))) ),
inference(superposition,[status(thm)],[c_161349,c_1479]) ).
tcf(c_162929,plain,
( v1_realset1(k1_zfmisc_1(k4_numbers))
| v2_membered(sK315(k1_zfmisc_1(k4_numbers))) ),
inference(superposition,[status(thm)],[c_161349,c_1478]) ).
tcf(c_162930,plain,
( v1_realset1(k1_zfmisc_1(k4_numbers))
| v1_membered(sK315(k1_zfmisc_1(k4_numbers))) ),
inference(superposition,[status(thm)],[c_161349,c_1477]) ).
tcf(c_162931,plain,
( v1_realset1(k1_zfmisc_1(k3_numbers))
| v1_membered(sK315(k1_zfmisc_1(k3_numbers))) ),
inference(superposition,[status(thm)],[c_161349,c_1508]) ).
tcf(c_162957,plain,
( v1_realset1(k1_zfmisc_1(k5_numbers))
| v5_membered(sK316(k1_zfmisc_1(k5_numbers))) ),
inference(superposition,[status(thm)],[c_161350,c_1404]) ).
tcf(c_162958,plain,
( v1_realset1(k1_zfmisc_1(k5_numbers))
| v4_membered(sK316(k1_zfmisc_1(k5_numbers))) ),
inference(superposition,[status(thm)],[c_161350,c_1403]) ).
tcf(c_162959,plain,
( v1_realset1(k1_zfmisc_1(k5_numbers))
| v3_membered(sK316(k1_zfmisc_1(k5_numbers))) ),
inference(superposition,[status(thm)],[c_161350,c_1402]) ).
tcf(c_162960,plain,
( v1_realset1(k1_zfmisc_1(k5_numbers))
| v2_membered(sK316(k1_zfmisc_1(k5_numbers))) ),
inference(superposition,[status(thm)],[c_161350,c_1401]) ).
tcf(c_162961,plain,
( v1_realset1(k1_zfmisc_1(k5_numbers))
| v1_membered(sK316(k1_zfmisc_1(k5_numbers))) ),
inference(superposition,[status(thm)],[c_161350,c_1400]) ).
tcf(c_162962,plain,
( v1_realset1(k1_zfmisc_1(k4_numbers))
| v4_membered(sK316(k1_zfmisc_1(k4_numbers))) ),
inference(superposition,[status(thm)],[c_161350,c_1480]) ).
tcf(c_162963,plain,
( v1_realset1(k1_zfmisc_1(k4_numbers))
| v3_membered(sK316(k1_zfmisc_1(k4_numbers))) ),
inference(superposition,[status(thm)],[c_161350,c_1479]) ).
tcf(c_162964,plain,
( v1_realset1(k1_zfmisc_1(k4_numbers))
| v2_membered(sK316(k1_zfmisc_1(k4_numbers))) ),
inference(superposition,[status(thm)],[c_161350,c_1478]) ).
tcf(c_162965,plain,
( v1_realset1(k1_zfmisc_1(k4_numbers))
| v1_membered(sK316(k1_zfmisc_1(k4_numbers))) ),
inference(superposition,[status(thm)],[c_161350,c_1477]) ).
tcf(c_162966,plain,
( v1_realset1(k1_zfmisc_1(k3_numbers))
| v1_membered(sK316(k1_zfmisc_1(k3_numbers))) ),
inference(superposition,[status(thm)],[c_161350,c_1508]) ).
tcf(c_163002,plain,
( v3_ordinal1(k1_zfmisc_1(k5_numbers))
| v5_membered(sK552(k1_zfmisc_1(k5_numbers))) ),
inference(superposition,[status(thm)],[c_161356,c_1404]) ).
tcf(c_163003,plain,
( v3_ordinal1(k1_zfmisc_1(k5_numbers))
| v4_membered(sK552(k1_zfmisc_1(k5_numbers))) ),
inference(superposition,[status(thm)],[c_161356,c_1403]) ).
tcf(c_163004,plain,
( v3_ordinal1(k1_zfmisc_1(k5_numbers))
| v3_membered(sK552(k1_zfmisc_1(k5_numbers))) ),
inference(superposition,[status(thm)],[c_161356,c_1402]) ).
tcf(c_163005,plain,
( v3_ordinal1(k1_zfmisc_1(k5_numbers))
| v2_membered(sK552(k1_zfmisc_1(k5_numbers))) ),
inference(superposition,[status(thm)],[c_161356,c_1401]) ).
tcf(c_163006,plain,
( v3_ordinal1(k1_zfmisc_1(k5_numbers))
| v1_membered(sK552(k1_zfmisc_1(k5_numbers))) ),
inference(superposition,[status(thm)],[c_161356,c_1400]) ).
tcf(c_163007,plain,
( v3_ordinal1(k1_zfmisc_1(k4_numbers))
| v4_membered(sK552(k1_zfmisc_1(k4_numbers))) ),
inference(superposition,[status(thm)],[c_161356,c_1480]) ).
tcf(c_163008,plain,
( v3_ordinal1(k1_zfmisc_1(k4_numbers))
| v3_membered(sK552(k1_zfmisc_1(k4_numbers))) ),
inference(superposition,[status(thm)],[c_161356,c_1479]) ).
tcf(c_163009,plain,
( v3_ordinal1(k1_zfmisc_1(k4_numbers))
| v2_membered(sK552(k1_zfmisc_1(k4_numbers))) ),
inference(superposition,[status(thm)],[c_161356,c_1478]) ).
tcf(c_163010,plain,
( v3_ordinal1(k1_zfmisc_1(k4_numbers))
| v1_membered(sK552(k1_zfmisc_1(k4_numbers))) ),
inference(superposition,[status(thm)],[c_161356,c_1477]) ).
tcf(c_163011,plain,
( v3_ordinal1(k1_zfmisc_1(k3_numbers))
| v1_membered(sK552(k1_zfmisc_1(k3_numbers))) ),
inference(superposition,[status(thm)],[c_161356,c_1508]) ).
tcf(c_163037,plain,
( v4_finsub_1(k1_zfmisc_1(k5_numbers))
| v5_membered(sK558(k1_zfmisc_1(k5_numbers))) ),
inference(superposition,[status(thm)],[c_161357,c_1404]) ).
tcf(c_163038,plain,
( v4_finsub_1(k1_zfmisc_1(k5_numbers))
| v4_membered(sK558(k1_zfmisc_1(k5_numbers))) ),
inference(superposition,[status(thm)],[c_161357,c_1403]) ).
tcf(c_163039,plain,
( v4_finsub_1(k1_zfmisc_1(k5_numbers))
| v3_membered(sK558(k1_zfmisc_1(k5_numbers))) ),
inference(superposition,[status(thm)],[c_161357,c_1402]) ).
tcf(c_163040,plain,
( v4_finsub_1(k1_zfmisc_1(k5_numbers))
| v2_membered(sK558(k1_zfmisc_1(k5_numbers))) ),
inference(superposition,[status(thm)],[c_161357,c_1401]) ).
tcf(c_163041,plain,
( v4_finsub_1(k1_zfmisc_1(k5_numbers))
| v1_membered(sK558(k1_zfmisc_1(k5_numbers))) ),
inference(superposition,[status(thm)],[c_161357,c_1400]) ).
tcf(c_163042,plain,
( v4_finsub_1(k1_zfmisc_1(k4_numbers))
| v4_membered(sK558(k1_zfmisc_1(k4_numbers))) ),
inference(superposition,[status(thm)],[c_161357,c_1480]) ).
tcf(c_163043,plain,
( v4_finsub_1(k1_zfmisc_1(k4_numbers))
| v3_membered(sK558(k1_zfmisc_1(k4_numbers))) ),
inference(superposition,[status(thm)],[c_161357,c_1479]) ).
tcf(c_163044,plain,
( v4_finsub_1(k1_zfmisc_1(k4_numbers))
| v2_membered(sK558(k1_zfmisc_1(k4_numbers))) ),
inference(superposition,[status(thm)],[c_161357,c_1478]) ).
tcf(c_163045,plain,
( v4_finsub_1(k1_zfmisc_1(k4_numbers))
| v1_membered(sK558(k1_zfmisc_1(k4_numbers))) ),
inference(superposition,[status(thm)],[c_161357,c_1477]) ).
tcf(c_163046,plain,
( v4_finsub_1(k1_zfmisc_1(k3_numbers))
| v1_membered(sK558(k1_zfmisc_1(k3_numbers))) ),
inference(superposition,[status(thm)],[c_161357,c_1508]) ).
tcf(c_163052,plain,
( v4_finsub_1(k1_zfmisc_1(k5_numbers))
| v5_membered(sK559(k1_zfmisc_1(k5_numbers))) ),
inference(superposition,[status(thm)],[c_161358,c_1404]) ).
tcf(c_163053,plain,
( v4_finsub_1(k1_zfmisc_1(k5_numbers))
| v4_membered(sK559(k1_zfmisc_1(k5_numbers))) ),
inference(superposition,[status(thm)],[c_161358,c_1403]) ).
tcf(c_163054,plain,
( v4_finsub_1(k1_zfmisc_1(k5_numbers))
| v3_membered(sK559(k1_zfmisc_1(k5_numbers))) ),
inference(superposition,[status(thm)],[c_161358,c_1402]) ).
tcf(c_163055,plain,
( v4_finsub_1(k1_zfmisc_1(k5_numbers))
| v2_membered(sK559(k1_zfmisc_1(k5_numbers))) ),
inference(superposition,[status(thm)],[c_161358,c_1401]) ).
tcf(c_163056,plain,
( v4_finsub_1(k1_zfmisc_1(k5_numbers))
| v1_membered(sK559(k1_zfmisc_1(k5_numbers))) ),
inference(superposition,[status(thm)],[c_161358,c_1400]) ).
tcf(c_163057,plain,
( v4_finsub_1(k1_zfmisc_1(k4_numbers))
| v4_membered(sK559(k1_zfmisc_1(k4_numbers))) ),
inference(superposition,[status(thm)],[c_161358,c_1480]) ).
tcf(c_163058,plain,
( v4_finsub_1(k1_zfmisc_1(k4_numbers))
| v3_membered(sK559(k1_zfmisc_1(k4_numbers))) ),
inference(superposition,[status(thm)],[c_161358,c_1479]) ).
tcf(c_163059,plain,
( v4_finsub_1(k1_zfmisc_1(k4_numbers))
| v2_membered(sK559(k1_zfmisc_1(k4_numbers))) ),
inference(superposition,[status(thm)],[c_161358,c_1478]) ).
tcf(c_163060,plain,
( v4_finsub_1(k1_zfmisc_1(k4_numbers))
| v1_membered(sK559(k1_zfmisc_1(k4_numbers))) ),
inference(superposition,[status(thm)],[c_161358,c_1477]) ).
tcf(c_163061,plain,
( v4_finsub_1(k1_zfmisc_1(k3_numbers))
| v1_membered(sK559(k1_zfmisc_1(k3_numbers))) ),
inference(superposition,[status(thm)],[c_161358,c_1508]) ).
tcf(c_163077,plain,
v2_membered(sK52(k1_zfmisc_1(k3_numbers))),
inference(superposition,[status(thm)],[c_161,c_1509]) ).
tcf(c_163078,plain,
( v1_xboole_0(k3_numbers)
| v2_membered(sK87(k3_numbers)) ),
inference(superposition,[status(thm)],[c_593,c_1509]) ).
tcf(c_163080,plain,
( v1_relat_1(k1_zfmisc_1(k3_numbers))
| v2_membered(sK146(k1_zfmisc_1(k3_numbers))) ),
inference(superposition,[status(thm)],[c_161344,c_1509]) ).
tcf(c_163081,plain,
( v5_membered(k1_zfmisc_1(k3_numbers))
| v2_membered(sK229(k1_zfmisc_1(k3_numbers))) ),
inference(superposition,[status(thm)],[c_161345,c_1509]) ).
tcf(c_163082,plain,
( v4_membered(k1_zfmisc_1(k3_numbers))
| v2_membered(sK237(k1_zfmisc_1(k3_numbers))) ),
inference(superposition,[status(thm)],[c_161346,c_1509]) ).
tcf(c_163083,plain,
( v2_membered(k1_zfmisc_1(k3_numbers))
| v2_membered(sK245(k1_zfmisc_1(k3_numbers))) ),
inference(superposition,[status(thm)],[c_161347,c_1509]) ).
tcf(c_163084,plain,
( v1_membered(k1_zfmisc_1(k3_numbers))
| v2_membered(sK251(k1_zfmisc_1(k3_numbers))) ),
inference(superposition,[status(thm)],[c_161348,c_1509]) ).
tcf(c_163085,plain,
( v1_realset1(k1_zfmisc_1(k3_numbers))
| v2_membered(sK315(k1_zfmisc_1(k3_numbers))) ),
inference(superposition,[status(thm)],[c_161349,c_1509]) ).
tcf(c_163086,plain,
( v1_realset1(k1_zfmisc_1(k3_numbers))
| v2_membered(sK316(k1_zfmisc_1(k3_numbers))) ),
inference(superposition,[status(thm)],[c_161350,c_1509]) ).
tcf(c_163087,plain,
( v3_ordinal1(k1_zfmisc_1(k3_numbers))
| v2_membered(sK552(k1_zfmisc_1(k3_numbers))) ),
inference(superposition,[status(thm)],[c_161356,c_1509]) ).
tcf(c_163088,plain,
( v4_finsub_1(k1_zfmisc_1(k3_numbers))
| v2_membered(sK558(k1_zfmisc_1(k3_numbers))) ),
inference(superposition,[status(thm)],[c_161357,c_1509]) ).
tcf(c_163089,plain,
( v4_finsub_1(k1_zfmisc_1(k3_numbers))
| v2_membered(sK559(k1_zfmisc_1(k3_numbers))) ),
inference(superposition,[status(thm)],[c_161358,c_1509]) ).
tcf(c_163090,plain,
v2_membered(sK87(k3_numbers)),
inference(forward_subsumption_resolution,[status(thm)],[c_163078,c_2740]) ).
tcf(c_163111,plain,
v3_membered(sK52(k1_zfmisc_1(k3_numbers))),
inference(superposition,[status(thm)],[c_161,c_1510]) ).
tcf(c_163112,plain,
( v1_xboole_0(k3_numbers)
| v3_membered(sK87(k3_numbers)) ),
inference(superposition,[status(thm)],[c_593,c_1510]) ).
tcf(c_163114,plain,
( v1_relat_1(k1_zfmisc_1(k3_numbers))
| v3_membered(sK146(k1_zfmisc_1(k3_numbers))) ),
inference(superposition,[status(thm)],[c_161344,c_1510]) ).
tcf(c_163115,plain,
( v5_membered(k1_zfmisc_1(k3_numbers))
| v3_membered(sK229(k1_zfmisc_1(k3_numbers))) ),
inference(superposition,[status(thm)],[c_161345,c_1510]) ).
tcf(c_163116,plain,
( v4_membered(k1_zfmisc_1(k3_numbers))
| v3_membered(sK237(k1_zfmisc_1(k3_numbers))) ),
inference(superposition,[status(thm)],[c_161346,c_1510]) ).
tcf(c_163117,plain,
( v2_membered(k1_zfmisc_1(k3_numbers))
| v3_membered(sK245(k1_zfmisc_1(k3_numbers))) ),
inference(superposition,[status(thm)],[c_161347,c_1510]) ).
tcf(c_163118,plain,
( v1_membered(k1_zfmisc_1(k3_numbers))
| v3_membered(sK251(k1_zfmisc_1(k3_numbers))) ),
inference(superposition,[status(thm)],[c_161348,c_1510]) ).
tcf(c_163119,plain,
( v1_realset1(k1_zfmisc_1(k3_numbers))
| v3_membered(sK315(k1_zfmisc_1(k3_numbers))) ),
inference(superposition,[status(thm)],[c_161349,c_1510]) ).
tcf(c_163120,plain,
( v1_realset1(k1_zfmisc_1(k3_numbers))
| v3_membered(sK316(k1_zfmisc_1(k3_numbers))) ),
inference(superposition,[status(thm)],[c_161350,c_1510]) ).
tcf(c_163121,plain,
( v3_ordinal1(k1_zfmisc_1(k3_numbers))
| v3_membered(sK552(k1_zfmisc_1(k3_numbers))) ),
inference(superposition,[status(thm)],[c_161356,c_1510]) ).
tcf(c_163122,plain,
( v4_finsub_1(k1_zfmisc_1(k3_numbers))
| v3_membered(sK558(k1_zfmisc_1(k3_numbers))) ),
inference(superposition,[status(thm)],[c_161357,c_1510]) ).
tcf(c_163123,plain,
( v4_finsub_1(k1_zfmisc_1(k3_numbers))
| v3_membered(sK559(k1_zfmisc_1(k3_numbers))) ),
inference(superposition,[status(thm)],[c_161358,c_1510]) ).
tcf(c_163124,plain,
v3_membered(sK87(k3_numbers)),
inference(forward_subsumption_resolution,[status(thm)],[c_163112,c_2740]) ).
tcf(c_163149,plain,
! [X0: $i] :
( v2_membered(k3_tarski(X0))
| m1_subset_1(sK239(X0),X0) ),
inference(superposition,[status(thm)],[c_1513,c_626]) ).
tcf(c_163150,plain,
! [X0: $i] :
( v2_membered(k3_tarski(X0))
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_1513,c_597]) ).
tcf(c_163151,plain,
v2_membered(k3_tarski(np__0)),
inference(superposition,[status(thm)],[c_1513,c_698]) ).
tcf(c_163152,plain,
( v1_int_1(sK239(k4_numbers))
| v2_membered(k3_tarski(k4_numbers)) ),
inference(superposition,[status(thm)],[c_1513,c_2722]) ).
tcf(c_163153,plain,
( v1_xreal_0(sK239(k1_numbers))
| v2_membered(k3_tarski(k1_numbers)) ),
inference(superposition,[status(thm)],[c_1513,c_2743]) ).
tcf(c_163184,plain,
! [X0: $i] :
( v3_ordinal1(X0)
| ~ v1_xboole_0(k6_partfun1(X0)) ),
inference(superposition,[status(thm)],[c_2204,c_161395]) ).
tcf(c_163191,plain,
! [X0: $i,X1: $i] :
( v3_ordinal1(X0)
| ( X0 = np__0 )
| ~ v1_xboole_0(sK46(X0,X1)) ),
inference(superposition,[status(thm)],[c_102,c_161396]) ).
tcf(c_163192,plain,
! [X0: $i] :
( v3_ordinal1(X0)
| ( X0 = np__0 )
| ~ v1_xboole_0(sK111(X0)) ),
inference(superposition,[status(thm)],[c_688,c_161396]) ).
tcf(c_163193,plain,
! [X0: $i] :
( v3_ordinal1(X0)
| ( X0 = np__0 )
| ~ v1_xboole_0(sK112(X0)) ),
inference(superposition,[status(thm)],[c_689,c_161396]) ).
tcf(c_163194,plain,
! [X0: $i,X1: $i] :
( v3_ordinal1(X1)
| ( X0 = np__0 )
| ~ v1_xboole_0(sK115(X0,X1)) ),
inference(superposition,[status(thm)],[c_718,c_161396]) ).
tcf(c_163214,plain,
! [X0: $i] :
( v3_ordinal1(k6_partfun1(X0))
| ~ v1_xboole_0(k6_partfun1(X0)) ),
inference(superposition,[status(thm)],[c_3376,c_161397]) ).
tcf(c_163232,plain,
! [X0: $i] :
( v4_finsub_1(X0)
| ~ v1_xboole_0(k6_partfun1(X0)) ),
inference(superposition,[status(thm)],[c_2204,c_161420]) ).
tcf(c_163261,plain,
! [X0: $i,X1: $i] :
( v1_membered(k1_setfam_1(k2_tarski(X0,X1)))
| ~ v2_membered(X0) ),
inference(superposition,[status(thm)],[c_2532,c_1536]) ).
tcf(c_163262,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_membered(k2_zfmisc_1(k4_xboole_0(X0,X2),X1))
| ~ v2_membered(k2_zfmisc_1(X0,X1)) ),
inference(superposition,[status(thm)],[c_1713,c_1536]) ).
tcf(c_163263,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_membered(k2_zfmisc_1(X0,k4_xboole_0(X1,X2)))
| ~ v2_membered(k2_zfmisc_1(X0,X1)) ),
inference(superposition,[status(thm)],[c_1714,c_1536]) ).
tcf(c_163264,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_membered(k4_xboole_0(k4_xboole_0(X0,X1),X2))
| ~ v2_membered(X0) ),
inference(superposition,[status(thm)],[c_484,c_1536]) ).
tcf(c_163267,plain,
! [X0: $i,X1: $i] :
( v1_membered(k4_xboole_0(X0,X1))
| ~ v2_membered(k3_tarski(k2_tarski(X0,X1))) ),
inference(superposition,[status(thm)],[c_485,c_1536]) ).
tcf(c_163287,plain,
! [X0: $i,X1: $i] :
( v2_membered(k1_setfam_1(k2_tarski(X0,X1)))
| ~ v2_membered(X0) ),
inference(superposition,[status(thm)],[c_2532,c_1537]) ).
tcf(c_163288,plain,
! [X0: $i,X1: $i,X2: $i] :
( v2_membered(k2_zfmisc_1(k4_xboole_0(X0,X2),X1))
| ~ v2_membered(k2_zfmisc_1(X0,X1)) ),
inference(superposition,[status(thm)],[c_1713,c_1537]) ).
tcf(c_163289,plain,
! [X0: $i,X1: $i,X2: $i] :
( v2_membered(k2_zfmisc_1(X0,k4_xboole_0(X1,X2)))
| ~ v2_membered(k2_zfmisc_1(X0,X1)) ),
inference(superposition,[status(thm)],[c_1714,c_1537]) ).
tcf(c_163290,plain,
! [X0: $i,X1: $i,X2: $i] :
( v2_membered(k4_xboole_0(k4_xboole_0(X0,X1),X2))
| ~ v2_membered(X0) ),
inference(superposition,[status(thm)],[c_484,c_1537]) ).
tcf(c_163293,plain,
! [X0: $i,X1: $i] :
( v2_membered(k4_xboole_0(X0,X1))
| ~ v2_membered(k3_tarski(k2_tarski(X0,X1))) ),
inference(superposition,[status(thm)],[c_485,c_1537]) ).
tcf(c_163314,plain,
v1_membered(sK52(k1_zfmisc_1(k1_numbers))),
inference(superposition,[status(thm)],[c_161,c_1555]) ).
tcf(c_163315,plain,
( v1_xboole_0(k1_numbers)
| v1_membered(sK87(k1_numbers)) ),
inference(superposition,[status(thm)],[c_593,c_1555]) ).
tcf(c_163317,plain,
v1_membered(k5_numbers),
inference(superposition,[status(thm)],[c_2574,c_1555]) ).
tcf(c_163318,plain,
( v1_relat_1(k1_zfmisc_1(k1_numbers))
| v1_membered(sK146(k1_zfmisc_1(k1_numbers))) ),
inference(superposition,[status(thm)],[c_161344,c_1555]) ).
tcf(c_163319,plain,
( v5_membered(k1_zfmisc_1(k1_numbers))
| v1_membered(sK229(k1_zfmisc_1(k1_numbers))) ),
inference(superposition,[status(thm)],[c_161345,c_1555]) ).
tcf(c_163320,plain,
( v4_membered(k1_zfmisc_1(k1_numbers))
| v1_membered(sK237(k1_zfmisc_1(k1_numbers))) ),
inference(superposition,[status(thm)],[c_161346,c_1555]) ).
tcf(c_163321,plain,
( v2_membered(k1_zfmisc_1(k1_numbers))
| v1_membered(sK245(k1_zfmisc_1(k1_numbers))) ),
inference(superposition,[status(thm)],[c_161347,c_1555]) ).
tcf(c_163322,plain,
( v1_membered(k1_zfmisc_1(k1_numbers))
| v1_membered(sK251(k1_zfmisc_1(k1_numbers))) ),
inference(superposition,[status(thm)],[c_161348,c_1555]) ).
tcf(c_163323,plain,
( v1_realset1(k1_zfmisc_1(k1_numbers))
| v1_membered(sK315(k1_zfmisc_1(k1_numbers))) ),
inference(superposition,[status(thm)],[c_161349,c_1555]) ).
tcf(c_163324,plain,
( v1_realset1(k1_zfmisc_1(k1_numbers))
| v1_membered(sK316(k1_zfmisc_1(k1_numbers))) ),
inference(superposition,[status(thm)],[c_161350,c_1555]) ).
tcf(c_163325,plain,
( v3_ordinal1(k1_zfmisc_1(k1_numbers))
| v1_membered(sK552(k1_zfmisc_1(k1_numbers))) ),
inference(superposition,[status(thm)],[c_161356,c_1555]) ).
tcf(c_163326,plain,
( v4_finsub_1(k1_zfmisc_1(k1_numbers))
| v1_membered(sK558(k1_zfmisc_1(k1_numbers))) ),
inference(superposition,[status(thm)],[c_161357,c_1555]) ).
tcf(c_163327,plain,
( v4_finsub_1(k1_zfmisc_1(k1_numbers))
| v1_membered(sK559(k1_zfmisc_1(k1_numbers))) ),
inference(superposition,[status(thm)],[c_161358,c_1555]) ).
tcf(c_163328,plain,
v1_membered(sK87(k1_numbers)),
inference(forward_subsumption_resolution,[status(thm)],[c_163315,c_2745]) ).
tcf(c_163349,plain,
v2_membered(sK52(k1_zfmisc_1(k1_numbers))),
inference(superposition,[status(thm)],[c_161,c_1556]) ).
tcf(c_163350,plain,
( v1_xboole_0(k1_numbers)
| v2_membered(sK87(k1_numbers)) ),
inference(superposition,[status(thm)],[c_593,c_1556]) ).
tcf(c_163352,plain,
v2_membered(k5_numbers),
inference(superposition,[status(thm)],[c_2574,c_1556]) ).
tcf(c_163353,plain,
( v1_relat_1(k1_zfmisc_1(k1_numbers))
| v2_membered(sK146(k1_zfmisc_1(k1_numbers))) ),
inference(superposition,[status(thm)],[c_161344,c_1556]) ).
tcf(c_163354,plain,
( v5_membered(k1_zfmisc_1(k1_numbers))
| v2_membered(sK229(k1_zfmisc_1(k1_numbers))) ),
inference(superposition,[status(thm)],[c_161345,c_1556]) ).
tcf(c_163355,plain,
( v4_membered(k1_zfmisc_1(k1_numbers))
| v2_membered(sK237(k1_zfmisc_1(k1_numbers))) ),
inference(superposition,[status(thm)],[c_161346,c_1556]) ).
tcf(c_163356,plain,
( v2_membered(k1_zfmisc_1(k1_numbers))
| v2_membered(sK245(k1_zfmisc_1(k1_numbers))) ),
inference(superposition,[status(thm)],[c_161347,c_1556]) ).
tcf(c_163357,plain,
( v1_membered(k1_zfmisc_1(k1_numbers))
| v2_membered(sK251(k1_zfmisc_1(k1_numbers))) ),
inference(superposition,[status(thm)],[c_161348,c_1556]) ).
tcf(c_163358,plain,
( v1_realset1(k1_zfmisc_1(k1_numbers))
| v2_membered(sK315(k1_zfmisc_1(k1_numbers))) ),
inference(superposition,[status(thm)],[c_161349,c_1556]) ).
tcf(c_163359,plain,
( v1_realset1(k1_zfmisc_1(k1_numbers))
| v2_membered(sK316(k1_zfmisc_1(k1_numbers))) ),
inference(superposition,[status(thm)],[c_161350,c_1556]) ).
tcf(c_163360,plain,
( v3_ordinal1(k1_zfmisc_1(k1_numbers))
| v2_membered(sK552(k1_zfmisc_1(k1_numbers))) ),
inference(superposition,[status(thm)],[c_161356,c_1556]) ).
tcf(c_163361,plain,
( v4_finsub_1(k1_zfmisc_1(k1_numbers))
| v2_membered(sK558(k1_zfmisc_1(k1_numbers))) ),
inference(superposition,[status(thm)],[c_161357,c_1556]) ).
tcf(c_163362,plain,
( v4_finsub_1(k1_zfmisc_1(k1_numbers))
| v2_membered(sK559(k1_zfmisc_1(k1_numbers))) ),
inference(superposition,[status(thm)],[c_161358,c_1556]) ).
tcf(c_163363,plain,
v2_membered(sK87(k1_numbers)),
inference(forward_subsumption_resolution,[status(thm)],[c_163350,c_2745]) ).
tcf(c_163387,plain,
! [X0: $i,X1: $i] :
( v4_finsub_1(X0)
| ( X0 = np__0 )
| ~ v1_xboole_0(sK46(X0,X1)) ),
inference(superposition,[status(thm)],[c_102,c_161421]) ).
tcf(c_163388,plain,
! [X0: $i] :
( v4_finsub_1(X0)
| ( X0 = np__0 )
| ~ v1_xboole_0(sK111(X0)) ),
inference(superposition,[status(thm)],[c_688,c_161421]) ).
tcf(c_163389,plain,
! [X0: $i] :
( v4_finsub_1(X0)
| ( X0 = np__0 )
| ~ v1_xboole_0(sK112(X0)) ),
inference(superposition,[status(thm)],[c_689,c_161421]) ).
tcf(c_163390,plain,
! [X0: $i,X1: $i] :
( v4_finsub_1(X1)
| ( X0 = np__0 )
| ~ v1_xboole_0(sK115(X0,X1)) ),
inference(superposition,[status(thm)],[c_718,c_161421]) ).
tcf(c_163410,plain,
! [X0: $i] :
( v4_finsub_1(k6_partfun1(X0))
| ~ v1_xboole_0(k6_partfun1(X0)) ),
inference(superposition,[status(thm)],[c_3376,c_161422]) ).
tcf(c_163419,plain,
! [X0: $i,X1: $i] :
( v5_membered(k5_xboole_0(X0,X1))
| ~ v1_xboole_0(k2_tarski(k4_xboole_0(X0,X1),k4_xboole_0(X1,X0))) ),
inference(superposition,[status(thm)],[c_2624,c_161606]) ).
tcf(c_163420,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v5_membered(k4_xboole_0(k2_zfmisc_1(X0,X2),k2_zfmisc_1(X1,X3)))
| ~ v1_xboole_0(k2_tarski(k2_zfmisc_1(k4_xboole_0(X0,X1),X2),k2_zfmisc_1(X0,k4_xboole_0(X2,X3)))) ),
inference(superposition,[status(thm)],[c_471,c_161606]) ).
tcf(c_163421,plain,
! [X0: $i,X1: $i,X2: $i] :
( v5_membered(k2_zfmisc_1(X0,k3_tarski(k2_tarski(X1,X2))))
| ~ v1_xboole_0(k2_tarski(k2_zfmisc_1(X0,X1),k2_zfmisc_1(X0,X2))) ),
inference(superposition,[status(thm)],[c_474,c_161606]) ).
tcf(c_163422,plain,
! [X0: $i,X1: $i,X2: $i] :
( v5_membered(k2_zfmisc_1(k3_tarski(k2_tarski(X0,X2)),X1))
| ~ v1_xboole_0(k2_tarski(k2_zfmisc_1(X0,X1),k2_zfmisc_1(X2,X1))) ),
inference(superposition,[status(thm)],[c_473,c_161606]) ).
tcf(c_163423,plain,
! [X0: $i,X1: $i,X2: $i] :
( v5_membered(k3_tarski(k2_tarski(X0,k3_tarski(k2_tarski(X1,X2)))))
| ~ v1_xboole_0(k2_tarski(k3_tarski(k2_tarski(X0,X1)),X2)) ),
inference(superposition,[status(thm)],[c_500,c_161606]) ).
tcf(c_163424,plain,
! [X0: $i,X1: $i] :
( v5_membered(k3_tarski(k2_tarski(X0,X1)))
| ~ v1_xboole_0(k2_tarski(X0,k4_xboole_0(X1,X0))) ),
inference(superposition,[status(thm)],[c_486,c_161606]) ).
tcf(c_163425,plain,
! [X0: $i,X1: $i,X2: $i] :
( v5_membered(k4_xboole_0(k3_tarski(k2_tarski(X0,X2)),X1))
| ~ v1_xboole_0(k2_tarski(k4_xboole_0(X0,X1),k4_xboole_0(X2,X1))) ),
inference(superposition,[status(thm)],[c_483,c_161606]) ).
tcf(c_163426,plain,
! [X0: $i,X1: $i] :
( v5_membered(k3_tarski(k2_tarski(X0,X1)))
| ~ v1_xboole_0(k2_tarski(X0,k3_tarski(k2_tarski(X0,X1)))) ),
inference(superposition,[status(thm)],[c_498,c_161606]) ).
tcf(c_163427,plain,
! [X0: $i] :
( v5_membered(X0)
| ~ v1_xboole_0(k2_tarski(X0,np__0)) ),
inference(superposition,[status(thm)],[c_501,c_161606]) ).
tcf(c_163428,plain,
! [X0: $i] :
( v5_membered(X0)
| ~ v1_xboole_0(k2_tarski(X0,X0)) ),
inference(superposition,[status(thm)],[c_502,c_161606]) ).
tcf(c_163430,plain,
! [X0: $i,X1: $i] :
( v5_membered(k3_tarski(k3_tarski(k2_tarski(X0,X1))))
| ~ v1_xboole_0(k2_tarski(k3_tarski(X0),k3_tarski(X1))) ),
inference(superposition,[status(thm)],[c_2509,c_161606]) ).
tcf(c_163434,plain,
! [X0: $i] :
( v1_membered(k3_tarski(X0))
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_161606,c_161629]) ).
tcf(c_163443,plain,
( v1_xreal_0(sK223(k4_numbers))
| v5_membered(k3_tarski(k4_numbers)) ),
inference(superposition,[status(thm)],[c_161608,c_2716]) ).
tcf(c_163444,plain,
( v1_xcmplx_0(sK223(k4_numbers))
| v5_membered(k3_tarski(k4_numbers)) ),
inference(superposition,[status(thm)],[c_161608,c_2715]) ).
tcf(c_163453,plain,
( v1_xreal_0(sK223(k1_numbers))
| v3_membered(k3_tarski(k1_numbers)) ),
inference(superposition,[status(thm)],[c_161609,c_161773]) ).
tcf(c_163454,plain,
( v1_xreal_0(sK223(k1_numbers))
| v2_membered(k3_tarski(k1_numbers)) ),
inference(superposition,[status(thm)],[c_161609,c_161657]) ).
tcf(c_163455,plain,
( v1_xreal_0(sK223(k1_numbers))
| v1_membered(k3_tarski(k1_numbers)) ),
inference(superposition,[status(thm)],[c_161609,c_161629]) ).
tcf(c_163456,plain,
( v1_xreal_0(sK223(k1_numbers))
| v4_membered(k3_tarski(k1_numbers)) ),
inference(superposition,[status(thm)],[c_161609,c_1411]) ).
tcf(c_163504,plain,
! [X0: $i] :
( v1_membered(k3_tarski(X0))
| m1_subset_1(sK246(X0),X0) ),
inference(superposition,[status(thm)],[c_1559,c_626]) ).
tcf(c_163506,plain,
v1_membered(k3_tarski(np__0)),
inference(superposition,[status(thm)],[c_1559,c_698]) ).
tcf(c_163507,plain,
( v1_int_1(sK246(k4_numbers))
| v1_membered(k3_tarski(k4_numbers)) ),
inference(superposition,[status(thm)],[c_1559,c_2722]) ).
tcf(c_163508,plain,
( v1_xreal_0(sK246(k1_numbers))
| v1_membered(k3_tarski(k1_numbers)) ),
inference(superposition,[status(thm)],[c_1559,c_2743]) ).
tcf(c_163521,plain,
! [X0: $i,X1: $i] :
( v1_membered(k1_setfam_1(k2_tarski(X0,X1)))
| ~ v1_membered(X0) ),
inference(superposition,[status(thm)],[c_2532,c_1579]) ).
tcf(c_163522,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_membered(k2_zfmisc_1(k4_xboole_0(X0,X2),X1))
| ~ v1_membered(k2_zfmisc_1(X0,X1)) ),
inference(superposition,[status(thm)],[c_1713,c_1579]) ).
tcf(c_163523,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_membered(k2_zfmisc_1(X0,k4_xboole_0(X1,X2)))
| ~ v1_membered(k2_zfmisc_1(X0,X1)) ),
inference(superposition,[status(thm)],[c_1714,c_1579]) ).
tcf(c_163524,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_membered(k4_xboole_0(k4_xboole_0(X0,X1),X2))
| ~ v1_membered(X0) ),
inference(superposition,[status(thm)],[c_484,c_1579]) ).
tcf(c_163527,plain,
! [X0: $i,X1: $i] :
( v1_membered(k4_xboole_0(X0,X1))
| ~ v1_membered(k3_tarski(k2_tarski(X0,X1))) ),
inference(superposition,[status(thm)],[c_485,c_1579]) ).
tcf(c_163587,plain,
! [X0: $i,X1: $i] : r1_tarski(k4_xboole_0(X0,X1),k5_xboole_0(X1,X0)),
inference(superposition,[status(thm)],[c_2624,c_162055]) ).
tcf(c_163588,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : r1_tarski(k2_zfmisc_1(X0,k4_xboole_0(X1,X2)),k4_xboole_0(k2_zfmisc_1(X0,X1),k2_zfmisc_1(X3,X2))),
inference(superposition,[status(thm)],[c_471,c_162055]) ).
tcf(c_163589,plain,
! [X0: $i,X1: $i,X2: $i] : r1_tarski(k2_zfmisc_1(X0,X1),k2_zfmisc_1(X0,k3_tarski(k2_tarski(X2,X1)))),
inference(superposition,[status(thm)],[c_474,c_162055]) ).
tcf(c_163590,plain,
! [X0: $i,X1: $i,X2: $i] : r1_tarski(k2_zfmisc_1(X0,X1),k2_zfmisc_1(k3_tarski(k2_tarski(X2,X0)),X1)),
inference(superposition,[status(thm)],[c_473,c_162055]) ).
tcf(c_163591,plain,
! [X0: $i,X1: $i,X2: $i] : r1_tarski(X0,k3_tarski(k2_tarski(X1,k3_tarski(k2_tarski(X2,X0))))),
inference(superposition,[status(thm)],[c_500,c_162055]) ).
tcf(c_163592,plain,
! [X0: $i,X1: $i] : r1_tarski(k4_xboole_0(X0,X1),k3_tarski(k2_tarski(X1,X0))),
inference(superposition,[status(thm)],[c_486,c_162055]) ).
tcf(c_163593,plain,
! [X0: $i,X1: $i,X2: $i] : r1_tarski(k4_xboole_0(X0,X1),k4_xboole_0(k3_tarski(k2_tarski(X2,X0)),X1)),
inference(superposition,[status(thm)],[c_483,c_162055]) ).
tcf(c_163594,plain,
! [X0: $i,X1: $i] : r1_tarski(k3_tarski(k2_tarski(X0,X1)),k3_tarski(k2_tarski(X0,X1))),
inference(superposition,[status(thm)],[c_498,c_162055]) ).
tcf(c_163597,plain,
! [X0: $i,X1: $i] : r1_tarski(k3_tarski(X0),k3_tarski(k3_tarski(k2_tarski(X1,X0)))),
inference(superposition,[status(thm)],[c_2509,c_162055]) ).
tcf(c_163608,plain,
! [X0: $i,X1: $i] :
( v4_membered(k5_xboole_0(X0,X1))
| ~ v1_xboole_0(k2_tarski(k4_xboole_0(X0,X1),k4_xboole_0(X1,X0))) ),
inference(superposition,[status(thm)],[c_2624,c_162258]) ).
tcf(c_163609,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v4_membered(k4_xboole_0(k2_zfmisc_1(X0,X2),k2_zfmisc_1(X1,X3)))
| ~ v1_xboole_0(k2_tarski(k2_zfmisc_1(k4_xboole_0(X0,X1),X2),k2_zfmisc_1(X0,k4_xboole_0(X2,X3)))) ),
inference(superposition,[status(thm)],[c_471,c_162258]) ).
tcf(c_163610,plain,
! [X0: $i,X1: $i,X2: $i] :
( v4_membered(k2_zfmisc_1(X0,k3_tarski(k2_tarski(X1,X2))))
| ~ v1_xboole_0(k2_tarski(k2_zfmisc_1(X0,X1),k2_zfmisc_1(X0,X2))) ),
inference(superposition,[status(thm)],[c_474,c_162258]) ).
tcf(c_163611,plain,
! [X0: $i,X1: $i,X2: $i] :
( v4_membered(k2_zfmisc_1(k3_tarski(k2_tarski(X0,X2)),X1))
| ~ v1_xboole_0(k2_tarski(k2_zfmisc_1(X0,X1),k2_zfmisc_1(X2,X1))) ),
inference(superposition,[status(thm)],[c_473,c_162258]) ).
tcf(c_163612,plain,
! [X0: $i,X1: $i,X2: $i] :
( v4_membered(k3_tarski(k2_tarski(X0,k3_tarski(k2_tarski(X1,X2)))))
| ~ v1_xboole_0(k2_tarski(k3_tarski(k2_tarski(X0,X1)),X2)) ),
inference(superposition,[status(thm)],[c_500,c_162258]) ).
tcf(c_163613,plain,
! [X0: $i,X1: $i] :
( v4_membered(k3_tarski(k2_tarski(X0,X1)))
| ~ v1_xboole_0(k2_tarski(X0,k4_xboole_0(X1,X0))) ),
inference(superposition,[status(thm)],[c_486,c_162258]) ).
tcf(c_163614,plain,
! [X0: $i,X1: $i,X2: $i] :
( v4_membered(k4_xboole_0(k3_tarski(k2_tarski(X0,X2)),X1))
| ~ v1_xboole_0(k2_tarski(k4_xboole_0(X0,X1),k4_xboole_0(X2,X1))) ),
inference(superposition,[status(thm)],[c_483,c_162258]) ).
tcf(c_163615,plain,
! [X0: $i,X1: $i] :
( v4_membered(k3_tarski(k2_tarski(X0,X1)))
| ~ v1_xboole_0(k2_tarski(X0,k3_tarski(k2_tarski(X0,X1)))) ),
inference(superposition,[status(thm)],[c_498,c_162258]) ).
tcf(c_163616,plain,
! [X0: $i] :
( v4_membered(X0)
| ~ v1_xboole_0(k2_tarski(X0,np__0)) ),
inference(superposition,[status(thm)],[c_501,c_162258]) ).
tcf(c_163617,plain,
! [X0: $i] :
( v4_membered(X0)
| ~ v1_xboole_0(k2_tarski(X0,X0)) ),
inference(superposition,[status(thm)],[c_502,c_162258]) ).
tcf(c_163619,plain,
! [X0: $i,X1: $i] :
( v4_membered(k3_tarski(k3_tarski(k2_tarski(X0,X1))))
| ~ v1_xboole_0(k2_tarski(k3_tarski(X0),k3_tarski(X1))) ),
inference(superposition,[status(thm)],[c_2509,c_162258]) ).
tcf(c_163628,plain,
( v1_xreal_0(sK231(k4_numbers))
| v4_membered(k3_tarski(k4_numbers)) ),
inference(superposition,[status(thm)],[c_162260,c_2716]) ).
tcf(c_163629,plain,
( v1_xcmplx_0(sK231(k4_numbers))
| v4_membered(k3_tarski(k4_numbers)) ),
inference(superposition,[status(thm)],[c_162260,c_2715]) ).
tcf(c_163691,plain,
! [X0: $i] : v1_finset_1(sK52(k5_finsub_1(X0))),
inference(superposition,[status(thm)],[c_161,c_1655]) ).
tcf(c_163693,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| v1_finset_1(sK256(X0)) ),
inference(superposition,[status(thm)],[c_1637,c_1655]) ).
tcf(c_163696,plain,
! [X0: $i] :
( v1_relat_1(k5_finsub_1(X0))
| v1_finset_1(sK146(k5_finsub_1(X0))) ),
inference(superposition,[status(thm)],[c_161344,c_1655]) ).
tcf(c_163697,plain,
! [X0: $i] :
( v5_membered(k5_finsub_1(X0))
| v1_finset_1(sK229(k5_finsub_1(X0))) ),
inference(superposition,[status(thm)],[c_161345,c_1655]) ).
tcf(c_163698,plain,
! [X0: $i] :
( v4_membered(k5_finsub_1(X0))
| v1_finset_1(sK237(k5_finsub_1(X0))) ),
inference(superposition,[status(thm)],[c_161346,c_1655]) ).
tcf(c_163699,plain,
! [X0: $i] :
( v2_membered(k5_finsub_1(X0))
| v1_finset_1(sK245(k5_finsub_1(X0))) ),
inference(superposition,[status(thm)],[c_161347,c_1655]) ).
tcf(c_163700,plain,
! [X0: $i] :
( v1_membered(k5_finsub_1(X0))
| v1_finset_1(sK251(k5_finsub_1(X0))) ),
inference(superposition,[status(thm)],[c_161348,c_1655]) ).
tcf(c_163701,plain,
! [X0: $i] :
( v1_realset1(k5_finsub_1(X0))
| v1_finset_1(sK315(k5_finsub_1(X0))) ),
inference(superposition,[status(thm)],[c_161349,c_1655]) ).
tcf(c_163702,plain,
! [X0: $i] :
( v1_realset1(k5_finsub_1(X0))
| v1_finset_1(sK316(k5_finsub_1(X0))) ),
inference(superposition,[status(thm)],[c_161350,c_1655]) ).
tcf(c_163703,plain,
! [X0: $i] :
( v3_ordinal1(k5_finsub_1(X0))
| v1_finset_1(sK552(k5_finsub_1(X0))) ),
inference(superposition,[status(thm)],[c_161356,c_1655]) ).
tcf(c_163706,plain,
! [X0: $i] :
( v1_finset_1(X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(np__0)) ),
inference(superposition,[status(thm)],[c_46572,c_1655]) ).
tcf(c_163736,plain,
v1_finset_1(sK52(k1_zfmisc_1(np__0))),
inference(superposition,[status(thm)],[c_46572,c_163691]) ).
tcf(c_163745,plain,
( v1_xreal_0(sK231(k1_numbers))
| v2_membered(k3_tarski(k1_numbers)) ),
inference(superposition,[status(thm)],[c_162261,c_162309]) ).
tcf(c_163746,plain,
( v1_xreal_0(sK231(k1_numbers))
| v1_membered(k3_tarski(k1_numbers)) ),
inference(superposition,[status(thm)],[c_162261,c_162281]) ).
tcf(c_163747,plain,
( v1_xreal_0(sK231(k1_numbers))
| v3_membered(k3_tarski(k1_numbers)) ),
inference(superposition,[status(thm)],[c_162261,c_1481]) ).
tcf(c_163764,plain,
! [X0: $i,X1: $i] :
( v3_membered(k5_xboole_0(X0,X1))
| ~ v1_xboole_0(k2_tarski(k4_xboole_0(X0,X1),k4_xboole_0(X1,X0))) ),
inference(superposition,[status(thm)],[c_2624,c_162596]) ).
tcf(c_163765,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v3_membered(k4_xboole_0(k2_zfmisc_1(X0,X2),k2_zfmisc_1(X1,X3)))
| ~ v1_xboole_0(k2_tarski(k2_zfmisc_1(k4_xboole_0(X0,X1),X2),k2_zfmisc_1(X0,k4_xboole_0(X2,X3)))) ),
inference(superposition,[status(thm)],[c_471,c_162596]) ).
tcf(c_163766,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_membered(k2_zfmisc_1(X0,k3_tarski(k2_tarski(X1,X2))))
| ~ v1_xboole_0(k2_tarski(k2_zfmisc_1(X0,X1),k2_zfmisc_1(X0,X2))) ),
inference(superposition,[status(thm)],[c_474,c_162596]) ).
tcf(c_163767,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_membered(k2_zfmisc_1(k3_tarski(k2_tarski(X0,X2)),X1))
| ~ v1_xboole_0(k2_tarski(k2_zfmisc_1(X0,X1),k2_zfmisc_1(X2,X1))) ),
inference(superposition,[status(thm)],[c_473,c_162596]) ).
tcf(c_163768,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_membered(k3_tarski(k2_tarski(X0,k3_tarski(k2_tarski(X1,X2)))))
| ~ v1_xboole_0(k2_tarski(k3_tarski(k2_tarski(X0,X1)),X2)) ),
inference(superposition,[status(thm)],[c_500,c_162596]) ).
tcf(c_163769,plain,
! [X0: $i,X1: $i] :
( v3_membered(k3_tarski(k2_tarski(X0,X1)))
| ~ v1_xboole_0(k2_tarski(X0,k4_xboole_0(X1,X0))) ),
inference(superposition,[status(thm)],[c_486,c_162596]) ).
tcf(c_163770,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_membered(k4_xboole_0(k3_tarski(k2_tarski(X0,X2)),X1))
| ~ v1_xboole_0(k2_tarski(k4_xboole_0(X0,X1),k4_xboole_0(X2,X1))) ),
inference(superposition,[status(thm)],[c_483,c_162596]) ).
tcf(c_163771,plain,
! [X0: $i,X1: $i] :
( v3_membered(k3_tarski(k2_tarski(X0,X1)))
| ~ v1_xboole_0(k2_tarski(X0,k3_tarski(k2_tarski(X0,X1)))) ),
inference(superposition,[status(thm)],[c_498,c_162596]) ).
tcf(c_163772,plain,
! [X0: $i] :
( v3_membered(X0)
| ~ v1_xboole_0(k2_tarski(X0,np__0)) ),
inference(superposition,[status(thm)],[c_501,c_162596]) ).
tcf(c_163773,plain,
! [X0: $i] :
( v3_membered(X0)
| ~ v1_xboole_0(k2_tarski(X0,X0)) ),
inference(superposition,[status(thm)],[c_502,c_162596]) ).
tcf(c_163775,plain,
! [X0: $i,X1: $i] :
( v3_membered(k3_tarski(k3_tarski(k2_tarski(X0,X1))))
| ~ v1_xboole_0(k2_tarski(k3_tarski(X0),k3_tarski(X1))) ),
inference(superposition,[status(thm)],[c_2509,c_162596]) ).
tcf(c_163783,plain,
( v1_int_1(sK238(k4_numbers))
| v1_membered(k3_tarski(k4_numbers)) ),
inference(superposition,[status(thm)],[c_162598,c_162769]) ).
tcf(c_163784,plain,
( v1_int_1(sK238(k4_numbers))
| v2_membered(k3_tarski(k4_numbers)) ),
inference(superposition,[status(thm)],[c_162598,c_1511]) ).
tcf(c_163793,plain,
( v1_xreal_0(sK238(k1_numbers))
| v1_membered(k3_tarski(k1_numbers)) ),
inference(superposition,[status(thm)],[c_162599,c_162769]) ).
tcf(c_163794,plain,
( v1_xreal_0(sK238(k1_numbers))
| v2_membered(k3_tarski(k1_numbers)) ),
inference(superposition,[status(thm)],[c_162599,c_1511]) ).
tcf(c_163803,plain,
! [X0: $i,X1: $i] :
( v2_membered(k5_xboole_0(X0,X1))
| ~ v1_xboole_0(k2_tarski(k4_xboole_0(X0,X1),k4_xboole_0(X1,X0))) ),
inference(superposition,[status(thm)],[c_2624,c_163150]) ).
tcf(c_163804,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v2_membered(k4_xboole_0(k2_zfmisc_1(X0,X2),k2_zfmisc_1(X1,X3)))
| ~ v1_xboole_0(k2_tarski(k2_zfmisc_1(k4_xboole_0(X0,X1),X2),k2_zfmisc_1(X0,k4_xboole_0(X2,X3)))) ),
inference(superposition,[status(thm)],[c_471,c_163150]) ).
tcf(c_163805,plain,
! [X0: $i,X1: $i,X2: $i] :
( v2_membered(k2_zfmisc_1(X0,k3_tarski(k2_tarski(X1,X2))))
| ~ v1_xboole_0(k2_tarski(k2_zfmisc_1(X0,X1),k2_zfmisc_1(X0,X2))) ),
inference(superposition,[status(thm)],[c_474,c_163150]) ).
tcf(c_163806,plain,
! [X0: $i,X1: $i,X2: $i] :
( v2_membered(k2_zfmisc_1(k3_tarski(k2_tarski(X0,X2)),X1))
| ~ v1_xboole_0(k2_tarski(k2_zfmisc_1(X0,X1),k2_zfmisc_1(X2,X1))) ),
inference(superposition,[status(thm)],[c_473,c_163150]) ).
tcf(c_163807,plain,
! [X0: $i,X1: $i,X2: $i] :
( v2_membered(k3_tarski(k2_tarski(X0,k3_tarski(k2_tarski(X1,X2)))))
| ~ v1_xboole_0(k2_tarski(k3_tarski(k2_tarski(X0,X1)),X2)) ),
inference(superposition,[status(thm)],[c_500,c_163150]) ).
tcf(c_163808,plain,
! [X0: $i,X1: $i] :
( v2_membered(k3_tarski(k2_tarski(X0,X1)))
| ~ v1_xboole_0(k2_tarski(X0,k4_xboole_0(X1,X0))) ),
inference(superposition,[status(thm)],[c_486,c_163150]) ).
tcf(c_163809,plain,
! [X0: $i,X1: $i,X2: $i] :
( v2_membered(k4_xboole_0(k3_tarski(k2_tarski(X0,X2)),X1))
| ~ v1_xboole_0(k2_tarski(k4_xboole_0(X0,X1),k4_xboole_0(X2,X1))) ),
inference(superposition,[status(thm)],[c_483,c_163150]) ).
tcf(c_163810,plain,
! [X0: $i,X1: $i] :
( v2_membered(k3_tarski(k2_tarski(X0,X1)))
| ~ v1_xboole_0(k2_tarski(X0,k3_tarski(k2_tarski(X0,X1)))) ),
inference(superposition,[status(thm)],[c_498,c_163150]) ).
tcf(c_163811,plain,
! [X0: $i] :
( v2_membered(X0)
| ~ v1_xboole_0(k2_tarski(X0,np__0)) ),
inference(superposition,[status(thm)],[c_501,c_163150]) ).
tcf(c_163812,plain,
! [X0: $i] :
( v2_membered(X0)
| ~ v1_xboole_0(k2_tarski(X0,X0)) ),
inference(superposition,[status(thm)],[c_502,c_163150]) ).
tcf(c_163814,plain,
! [X0: $i,X1: $i] :
( v2_membered(k3_tarski(k3_tarski(k2_tarski(X0,X1))))
| ~ v1_xboole_0(k2_tarski(k3_tarski(X0),k3_tarski(X1))) ),
inference(superposition,[status(thm)],[c_2509,c_163150]) ).
tcf(c_163821,plain,
( v1_xreal_0(sK239(k4_numbers))
| v2_membered(k3_tarski(k4_numbers)) ),
inference(superposition,[status(thm)],[c_163152,c_2716]) ).
tcf(c_163822,plain,
( v1_xcmplx_0(sK239(k4_numbers))
| v2_membered(k3_tarski(k4_numbers)) ),
inference(superposition,[status(thm)],[c_163152,c_2715]) ).
tcf(c_163831,plain,
( v1_xcmplx_0(sK239(k1_numbers))
| v2_membered(k3_tarski(k1_numbers)) ),
inference(superposition,[status(thm)],[c_163153,c_2750]) ).
tcf(c_163884,plain,
( v1_xboole_0(k5_numbers)
| v5_membered(sK264(k5_numbers)) ),
inference(superposition,[status(thm)],[c_1687,c_1404]) ).
tcf(c_163885,plain,
( v1_xboole_0(k5_numbers)
| v4_membered(sK264(k5_numbers)) ),
inference(superposition,[status(thm)],[c_1687,c_1403]) ).
tcf(c_163886,plain,
( v1_xboole_0(k5_numbers)
| v3_membered(sK264(k5_numbers)) ),
inference(superposition,[status(thm)],[c_1687,c_1402]) ).
tcf(c_163887,plain,
( v1_xboole_0(k5_numbers)
| v2_membered(sK264(k5_numbers)) ),
inference(superposition,[status(thm)],[c_1687,c_1401]) ).
tcf(c_163888,plain,
( v1_xboole_0(k5_numbers)
| v1_membered(sK264(k5_numbers)) ),
inference(superposition,[status(thm)],[c_1687,c_1400]) ).
tcf(c_163889,plain,
( v1_xboole_0(k4_numbers)
| v4_membered(sK264(k4_numbers)) ),
inference(superposition,[status(thm)],[c_1687,c_1480]) ).
tcf(c_163890,plain,
( v1_xboole_0(k4_numbers)
| v3_membered(sK264(k4_numbers)) ),
inference(superposition,[status(thm)],[c_1687,c_1479]) ).
tcf(c_163891,plain,
( v1_xboole_0(k4_numbers)
| v2_membered(sK264(k4_numbers)) ),
inference(superposition,[status(thm)],[c_1687,c_1478]) ).
tcf(c_163892,plain,
( v1_xboole_0(k4_numbers)
| v1_membered(sK264(k4_numbers)) ),
inference(superposition,[status(thm)],[c_1687,c_1477]) ).
tcf(c_163893,plain,
( v1_xboole_0(k3_numbers)
| v3_membered(sK264(k3_numbers)) ),
inference(superposition,[status(thm)],[c_1687,c_1510]) ).
tcf(c_163894,plain,
( v1_xboole_0(k3_numbers)
| v2_membered(sK264(k3_numbers)) ),
inference(superposition,[status(thm)],[c_1687,c_1509]) ).
tcf(c_163895,plain,
( v1_xboole_0(k3_numbers)
| v1_membered(sK264(k3_numbers)) ),
inference(superposition,[status(thm)],[c_1687,c_1508]) ).
tcf(c_163896,plain,
( v1_xboole_0(k1_numbers)
| v2_membered(sK264(k1_numbers)) ),
inference(superposition,[status(thm)],[c_1687,c_1556]) ).
tcf(c_163897,plain,
( v1_xboole_0(k1_numbers)
| v1_membered(sK264(k1_numbers)) ),
inference(superposition,[status(thm)],[c_1687,c_1555]) ).
tcf(c_163898,plain,
v1_membered(sK264(k1_numbers)),
inference(forward_subsumption_resolution,[status(thm)],[c_163897,c_2745]) ).
tcf(c_163899,plain,
v2_membered(sK264(k1_numbers)),
inference(forward_subsumption_resolution,[status(thm)],[c_163896,c_2745]) ).
tcf(c_163900,plain,
v1_membered(sK264(k3_numbers)),
inference(forward_subsumption_resolution,[status(thm)],[c_163895,c_2740]) ).
tcf(c_163901,plain,
v2_membered(sK264(k3_numbers)),
inference(forward_subsumption_resolution,[status(thm)],[c_163894,c_2740]) ).
tcf(c_163902,plain,
v3_membered(sK264(k3_numbers)),
inference(forward_subsumption_resolution,[status(thm)],[c_163893,c_2740]) ).
tcf(c_163903,plain,
v1_membered(sK264(k4_numbers)),
inference(forward_subsumption_resolution,[status(thm)],[c_163892,c_2733]) ).
tcf(c_163904,plain,
v2_membered(sK264(k4_numbers)),
inference(forward_subsumption_resolution,[status(thm)],[c_163891,c_2733]) ).
tcf(c_163905,plain,
v3_membered(sK264(k4_numbers)),
inference(forward_subsumption_resolution,[status(thm)],[c_163890,c_2733]) ).
tcf(c_163906,plain,
v4_membered(sK264(k4_numbers)),
inference(forward_subsumption_resolution,[status(thm)],[c_163889,c_2733]) ).
tcf(c_163921,plain,
! [X0: $i,X1: $i] :
( v1_finset_1(k1_setfam_1(k2_tarski(X0,X1)))
| ~ v1_finset_1(X0) ),
inference(superposition,[status(thm)],[c_2532,c_1691]) ).
tcf(c_163922,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_finset_1(k2_zfmisc_1(k4_xboole_0(X0,X2),X1))
| ~ v1_finset_1(k2_zfmisc_1(X0,X1)) ),
inference(superposition,[status(thm)],[c_1713,c_1691]) ).
tcf(c_163923,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_finset_1(k2_zfmisc_1(X0,k4_xboole_0(X1,X2)))
| ~ v1_finset_1(k2_zfmisc_1(X0,X1)) ),
inference(superposition,[status(thm)],[c_1714,c_1691]) ).
tcf(c_163924,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_finset_1(k4_xboole_0(k4_xboole_0(X0,X1),X2))
| ~ v1_finset_1(X0) ),
inference(superposition,[status(thm)],[c_484,c_1691]) ).
tcf(c_163927,plain,
! [X0: $i,X1: $i] :
( v1_finset_1(k4_xboole_0(X0,X1))
| ~ v1_finset_1(k3_tarski(k2_tarski(X0,X1))) ),
inference(superposition,[status(thm)],[c_485,c_1691]) ).
tcf(c_163947,plain,
( v1_xboole_0(k5_numbers)
| v5_membered(sK265(k5_numbers)) ),
inference(superposition,[status(thm)],[c_1695,c_1404]) ).
tcf(c_163948,plain,
( v1_xboole_0(k5_numbers)
| v4_membered(sK265(k5_numbers)) ),
inference(superposition,[status(thm)],[c_1695,c_1403]) ).
tcf(c_163949,plain,
( v1_xboole_0(k5_numbers)
| v3_membered(sK265(k5_numbers)) ),
inference(superposition,[status(thm)],[c_1695,c_1402]) ).
tcf(c_163950,plain,
( v1_xboole_0(k5_numbers)
| v2_membered(sK265(k5_numbers)) ),
inference(superposition,[status(thm)],[c_1695,c_1401]) ).
tcf(c_163951,plain,
( v1_xboole_0(k5_numbers)
| v1_membered(sK265(k5_numbers)) ),
inference(superposition,[status(thm)],[c_1695,c_1400]) ).
tcf(c_163952,plain,
( v1_xboole_0(k4_numbers)
| v4_membered(sK265(k4_numbers)) ),
inference(superposition,[status(thm)],[c_1695,c_1480]) ).
tcf(c_163953,plain,
( v1_xboole_0(k4_numbers)
| v3_membered(sK265(k4_numbers)) ),
inference(superposition,[status(thm)],[c_1695,c_1479]) ).
tcf(c_163954,plain,
( v1_xboole_0(k4_numbers)
| v2_membered(sK265(k4_numbers)) ),
inference(superposition,[status(thm)],[c_1695,c_1478]) ).
tcf(c_163955,plain,
( v1_xboole_0(k4_numbers)
| v1_membered(sK265(k4_numbers)) ),
inference(superposition,[status(thm)],[c_1695,c_1477]) ).
tcf(c_163956,plain,
( v1_xboole_0(k3_numbers)
| v3_membered(sK265(k3_numbers)) ),
inference(superposition,[status(thm)],[c_1695,c_1510]) ).
tcf(c_163957,plain,
( v1_xboole_0(k3_numbers)
| v2_membered(sK265(k3_numbers)) ),
inference(superposition,[status(thm)],[c_1695,c_1509]) ).
tcf(c_163958,plain,
( v1_xboole_0(k3_numbers)
| v1_membered(sK265(k3_numbers)) ),
inference(superposition,[status(thm)],[c_1695,c_1508]) ).
tcf(c_163959,plain,
( v1_xboole_0(k1_numbers)
| v2_membered(sK265(k1_numbers)) ),
inference(superposition,[status(thm)],[c_1695,c_1556]) ).
tcf(c_163960,plain,
( v1_xboole_0(k1_numbers)
| v1_membered(sK265(k1_numbers)) ),
inference(superposition,[status(thm)],[c_1695,c_1555]) ).
tcf(c_163961,plain,
v1_membered(sK265(k1_numbers)),
inference(forward_subsumption_resolution,[status(thm)],[c_163960,c_2745]) ).
tcf(c_163962,plain,
v2_membered(sK265(k1_numbers)),
inference(forward_subsumption_resolution,[status(thm)],[c_163959,c_2745]) ).
tcf(c_163963,plain,
v1_membered(sK265(k3_numbers)),
inference(forward_subsumption_resolution,[status(thm)],[c_163958,c_2740]) ).
tcf(c_163964,plain,
v2_membered(sK265(k3_numbers)),
inference(forward_subsumption_resolution,[status(thm)],[c_163957,c_2740]) ).
tcf(c_163965,plain,
v3_membered(sK265(k3_numbers)),
inference(forward_subsumption_resolution,[status(thm)],[c_163956,c_2740]) ).
tcf(c_163966,plain,
v1_membered(sK265(k4_numbers)),
inference(forward_subsumption_resolution,[status(thm)],[c_163955,c_2733]) ).
tcf(c_163967,plain,
v2_membered(sK265(k4_numbers)),
inference(forward_subsumption_resolution,[status(thm)],[c_163954,c_2733]) ).
tcf(c_163968,plain,
v3_membered(sK265(k4_numbers)),
inference(forward_subsumption_resolution,[status(thm)],[c_163953,c_2733]) ).
tcf(c_163969,plain,
v4_membered(sK265(k4_numbers)),
inference(forward_subsumption_resolution,[status(thm)],[c_163952,c_2733]) ).
tcf(c_164049,plain,
! [X0: $i,X1: $i] :
( v1_relat_1(k1_setfam_1(k2_tarski(X0,X1)))
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_2532,c_1711]) ).
tcf(c_164050,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_relat_1(k2_zfmisc_1(k4_xboole_0(X0,X2),X1))
| ~ v1_relat_1(k2_zfmisc_1(X0,X1)) ),
inference(superposition,[status(thm)],[c_1713,c_1711]) ).
tcf(c_164051,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_relat_1(k2_zfmisc_1(X0,k4_xboole_0(X1,X2)))
| ~ v1_relat_1(k2_zfmisc_1(X0,X1)) ),
inference(superposition,[status(thm)],[c_1714,c_1711]) ).
tcf(c_164052,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_relat_1(k4_xboole_0(k4_xboole_0(X0,X1),X2))
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_484,c_1711]) ).
tcf(c_164055,plain,
! [X0: $i,X1: $i] :
( v1_relat_1(k4_xboole_0(X0,X1))
| ~ v1_relat_1(k3_tarski(k2_tarski(X0,X1))) ),
inference(superposition,[status(thm)],[c_485,c_1711]) ).
tcf(c_164074,plain,
! [X0: $i,X1: $i] : r1_xboole_0(k1_setfam_1(k2_tarski(X0,X1)),k4_xboole_0(k4_xboole_0(X0,X1),X0)),
inference(superposition,[status(thm)],[c_2532,c_2447]) ).
tcf(c_164075,plain,
! [X0: $i,X1: $i,X2: $i] : r1_xboole_0(k2_zfmisc_1(k4_xboole_0(X0,X1),X2),k4_xboole_0(k2_zfmisc_1(X1,X2),k2_zfmisc_1(X0,X2))),
inference(superposition,[status(thm)],[c_1713,c_2447]) ).
tcf(c_164076,plain,
! [X0: $i,X1: $i,X2: $i] : r1_xboole_0(k2_zfmisc_1(X0,k4_xboole_0(X1,X2)),k4_xboole_0(k2_zfmisc_1(X0,X2),k2_zfmisc_1(X0,X1))),
inference(superposition,[status(thm)],[c_1714,c_2447]) ).
tcf(c_164077,plain,
! [X0: $i,X1: $i,X2: $i] : r1_xboole_0(k4_xboole_0(k4_xboole_0(X0,X1),X2),k4_xboole_0(k3_tarski(k2_tarski(X1,X2)),X0)),
inference(superposition,[status(thm)],[c_484,c_2447]) ).
tcf(c_164078,plain,
! [X0: $i] : r1_xboole_0(X0,k4_xboole_0(np__0,X0)),
inference(superposition,[status(thm)],[c_1740,c_2447]) ).
tcf(c_164080,plain,
! [X0: $i,X1: $i] : r1_xboole_0(k4_xboole_0(X0,X1),k4_xboole_0(X1,k3_tarski(k2_tarski(X0,X1)))),
inference(superposition,[status(thm)],[c_485,c_2447]) ).
tcf(c_164081,plain,
! [X0: $i] : r1_xboole_0(np__0,k4_xboole_0(X0,np__0)),
inference(superposition,[status(thm)],[c_1739,c_2447]) ).
tcf(c_164082,plain,
! [X0: $i,X1: $i] : r1_xboole_0(k4_xboole_0(k4_xboole_0(X0,X1),X0),k1_setfam_1(k2_tarski(X0,X1))),
inference(superposition,[status(thm)],[c_2532,c_2447]) ).
tcf(c_164083,plain,
! [X0: $i,X1: $i,X2: $i] : r1_xboole_0(k4_xboole_0(k2_zfmisc_1(X0,X1),k2_zfmisc_1(X2,X1)),k2_zfmisc_1(k4_xboole_0(X2,X0),X1)),
inference(superposition,[status(thm)],[c_1713,c_2447]) ).
tcf(c_164084,plain,
! [X0: $i,X1: $i,X2: $i] : r1_xboole_0(k4_xboole_0(k2_zfmisc_1(X0,X1),k2_zfmisc_1(X0,X2)),k2_zfmisc_1(X0,k4_xboole_0(X2,X1))),
inference(superposition,[status(thm)],[c_1714,c_2447]) ).
tcf(c_164085,plain,
! [X0: $i,X1: $i,X2: $i] : r1_xboole_0(k4_xboole_0(k3_tarski(k2_tarski(X0,X1)),X2),k4_xboole_0(k4_xboole_0(X2,X0),X1)),
inference(superposition,[status(thm)],[c_484,c_2447]) ).
tcf(c_164086,plain,
! [X0: $i] : r1_xboole_0(k4_xboole_0(np__0,X0),X0),
inference(superposition,[status(thm)],[c_1740,c_2447]) ).
tcf(c_164087,plain,
r1_xboole_0(np__0,np__0),
inference(superposition,[status(thm)],[c_45740,c_2447]) ).
tcf(c_164088,plain,
! [X0: $i,X1: $i] : r1_xboole_0(k4_xboole_0(X0,k3_tarski(k2_tarski(X1,X0))),k4_xboole_0(X1,X0)),
inference(superposition,[status(thm)],[c_485,c_2447]) ).
tcf(c_164089,plain,
! [X0: $i] : r1_xboole_0(k4_xboole_0(X0,np__0),np__0),
inference(superposition,[status(thm)],[c_1739,c_2447]) ).
tcf(c_164094,plain,
! [X0: $i,X1: $i,X2: $i] : r1_xboole_0(k2_zfmisc_1(X0,k4_xboole_0(X1,X2)),k2_zfmisc_1(X0,k4_xboole_0(X2,X1))),
inference(light_normalisation,[status(thm)],[c_164084,c_1714]) ).
tcf(c_164095,plain,
! [X0: $i,X1: $i,X2: $i] : r1_xboole_0(k2_zfmisc_1(k4_xboole_0(X0,X1),X2),k2_zfmisc_1(k4_xboole_0(X1,X0),X2)),
inference(light_normalisation,[status(thm)],[c_164083,c_1713]) ).
tcf(c_164220,plain,
! [X0: $i,X1: $i] : r1_xboole_0(X0,k4_xboole_0(X1,X0)),
inference(superposition,[status(thm)],[c_2450,c_2470]) ).
tcf(c_164232,plain,
! [X0: $i] :
( v3_ordinal1(k3_tarski(X0))
| m1_subset_1(sK395(X0),X0) ),
inference(superposition,[status(thm)],[c_2503,c_626]) ).
tcf(c_164233,plain,
! [X0: $i] :
( v3_ordinal1(k3_tarski(X0))
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_2503,c_597]) ).
tcf(c_164234,plain,
v3_ordinal1(k3_tarski(np__0)),
inference(superposition,[status(thm)],[c_2503,c_698]) ).
tcf(c_164235,plain,
( v3_ordinal1(k3_tarski(k4_numbers))
| v1_int_1(sK395(k4_numbers)) ),
inference(superposition,[status(thm)],[c_2503,c_2722]) ).
tcf(c_164236,plain,
( v3_ordinal1(k3_tarski(k1_numbers))
| v1_xreal_0(sK395(k1_numbers)) ),
inference(superposition,[status(thm)],[c_2503,c_2743]) ).
tcf(c_164274,plain,
! [X0: $i,X1: $i] : r1_xboole_0(k4_xboole_0(X0,X1),k1_setfam_1(k2_tarski(X0,X1))),
inference(superposition,[status(thm)],[c_2532,c_164220]) ).
tcf(c_164275,plain,
! [X0: $i,X1: $i,X2: $i] : r1_xboole_0(k2_zfmisc_1(X0,X1),k2_zfmisc_1(k4_xboole_0(X2,X0),X1)),
inference(superposition,[status(thm)],[c_1713,c_164220]) ).
tcf(c_164276,plain,
! [X0: $i,X1: $i,X2: $i] : r1_xboole_0(k2_zfmisc_1(X0,X1),k2_zfmisc_1(X0,k4_xboole_0(X2,X1))),
inference(superposition,[status(thm)],[c_1714,c_164220]) ).
tcf(c_164277,plain,
! [X0: $i,X1: $i,X2: $i] : r1_xboole_0(k3_tarski(k2_tarski(X0,X1)),k4_xboole_0(k4_xboole_0(X2,X0),X1)),
inference(superposition,[status(thm)],[c_484,c_164220]) ).
tcf(c_164301,plain,
! [X0: $i,X1: $i] :
( v1_membered(k5_xboole_0(X0,X1))
| ~ v1_xboole_0(k2_tarski(k4_xboole_0(X0,X1),k4_xboole_0(X1,X0))) ),
inference(superposition,[status(thm)],[c_2624,c_163434]) ).
tcf(c_164302,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v1_membered(k4_xboole_0(k2_zfmisc_1(X0,X2),k2_zfmisc_1(X1,X3)))
| ~ v1_xboole_0(k2_tarski(k2_zfmisc_1(k4_xboole_0(X0,X1),X2),k2_zfmisc_1(X0,k4_xboole_0(X2,X3)))) ),
inference(superposition,[status(thm)],[c_471,c_163434]) ).
tcf(c_164303,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_membered(k2_zfmisc_1(X0,k3_tarski(k2_tarski(X1,X2))))
| ~ v1_xboole_0(k2_tarski(k2_zfmisc_1(X0,X1),k2_zfmisc_1(X0,X2))) ),
inference(superposition,[status(thm)],[c_474,c_163434]) ).
tcf(c_164304,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_membered(k2_zfmisc_1(k3_tarski(k2_tarski(X0,X2)),X1))
| ~ v1_xboole_0(k2_tarski(k2_zfmisc_1(X0,X1),k2_zfmisc_1(X2,X1))) ),
inference(superposition,[status(thm)],[c_473,c_163434]) ).
tcf(c_164305,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_membered(k3_tarski(k2_tarski(X0,k3_tarski(k2_tarski(X1,X2)))))
| ~ v1_xboole_0(k2_tarski(k3_tarski(k2_tarski(X0,X1)),X2)) ),
inference(superposition,[status(thm)],[c_500,c_163434]) ).
tcf(c_164306,plain,
! [X0: $i,X1: $i] :
( v1_membered(k3_tarski(k2_tarski(X0,X1)))
| ~ v1_xboole_0(k2_tarski(X0,k4_xboole_0(X1,X0))) ),
inference(superposition,[status(thm)],[c_486,c_163434]) ).
tcf(c_164307,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_membered(k4_xboole_0(k3_tarski(k2_tarski(X0,X2)),X1))
| ~ v1_xboole_0(k2_tarski(k4_xboole_0(X0,X1),k4_xboole_0(X2,X1))) ),
inference(superposition,[status(thm)],[c_483,c_163434]) ).
tcf(c_164308,plain,
! [X0: $i,X1: $i] :
( v1_membered(k3_tarski(k2_tarski(X0,X1)))
| ~ v1_xboole_0(k2_tarski(X0,k3_tarski(k2_tarski(X0,X1)))) ),
inference(superposition,[status(thm)],[c_498,c_163434]) ).
tcf(c_164309,plain,
! [X0: $i] :
( v1_membered(X0)
| ~ v1_xboole_0(k2_tarski(X0,np__0)) ),
inference(superposition,[status(thm)],[c_501,c_163434]) ).
tcf(c_164310,plain,
! [X0: $i] :
( v1_membered(X0)
| ~ v1_xboole_0(k2_tarski(X0,X0)) ),
inference(superposition,[status(thm)],[c_502,c_163434]) ).
tcf(c_164312,plain,
! [X0: $i,X1: $i] :
( v1_membered(k3_tarski(k3_tarski(k2_tarski(X0,X1))))
| ~ v1_xboole_0(k2_tarski(k3_tarski(X0),k3_tarski(X1))) ),
inference(superposition,[status(thm)],[c_2509,c_163434]) ).
tcf(c_164318,plain,
( v1_xreal_0(sK223(k4_numbers))
| v3_membered(k3_tarski(k4_numbers)) ),
inference(superposition,[status(thm)],[c_163443,c_161773]) ).
tcf(c_164319,plain,
( v1_xreal_0(sK223(k4_numbers))
| v2_membered(k3_tarski(k4_numbers)) ),
inference(superposition,[status(thm)],[c_163443,c_161657]) ).
tcf(c_164320,plain,
( v1_xreal_0(sK223(k4_numbers))
| v1_membered(k3_tarski(k4_numbers)) ),
inference(superposition,[status(thm)],[c_163443,c_161629]) ).
tcf(c_164321,plain,
( v1_xreal_0(sK223(k4_numbers))
| v4_membered(k3_tarski(k4_numbers)) ),
inference(superposition,[status(thm)],[c_163443,c_1411]) ).
tcf(c_164344,plain,
( v1_xcmplx_0(sK223(k1_numbers))
| v2_membered(k3_tarski(k1_numbers)) ),
inference(superposition,[status(thm)],[c_163454,c_2750]) ).
tcf(c_164421,plain,
! [X0: $i] :
( v3_ordinal1(k1_setfam_1(X0))
| m1_subset_1(sK400(X0),X0) ),
inference(superposition,[status(thm)],[c_2531,c_626]) ).
tcf(c_164422,plain,
! [X0: $i] :
( v3_ordinal1(k1_setfam_1(X0))
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_2531,c_597]) ).
tcf(c_164423,plain,
v3_ordinal1(k1_setfam_1(np__0)),
inference(superposition,[status(thm)],[c_2531,c_698]) ).
tcf(c_164424,plain,
( v3_ordinal1(k1_setfam_1(k4_numbers))
| v1_int_1(sK400(k4_numbers)) ),
inference(superposition,[status(thm)],[c_2531,c_2722]) ).
tcf(c_164425,plain,
( v3_ordinal1(k1_setfam_1(k1_numbers))
| v1_xreal_0(sK400(k1_numbers)) ),
inference(superposition,[status(thm)],[c_2531,c_2743]) ).
tcf(c_164437,plain,
! [X0: $i,X1: $i] : r1_tarski(k1_setfam_1(k2_tarski(X0,X1)),k5_xboole_0(X0,k4_xboole_0(X0,X1))),
inference(superposition,[status(thm)],[c_2532,c_2608]) ).
tcf(c_164438,plain,
! [X0: $i,X1: $i,X2: $i] : r1_tarski(k2_zfmisc_1(k4_xboole_0(X0,X1),X2),k5_xboole_0(k2_zfmisc_1(X0,X2),k2_zfmisc_1(X1,X2))),
inference(superposition,[status(thm)],[c_1713,c_2608]) ).
tcf(c_164439,plain,
! [X0: $i,X1: $i,X2: $i] : r1_tarski(k2_zfmisc_1(X0,k4_xboole_0(X1,X2)),k5_xboole_0(k2_zfmisc_1(X0,X1),k2_zfmisc_1(X0,X2))),
inference(superposition,[status(thm)],[c_1714,c_2608]) ).
tcf(c_164440,plain,
! [X0: $i,X1: $i,X2: $i] : r1_tarski(k4_xboole_0(k4_xboole_0(X0,X1),X2),k5_xboole_0(X0,k3_tarski(k2_tarski(X1,X2)))),
inference(superposition,[status(thm)],[c_484,c_2608]) ).
tcf(c_164441,plain,
! [X0: $i] : r1_tarski(X0,k5_xboole_0(X0,np__0)),
inference(superposition,[status(thm)],[c_1740,c_2608]) ).
tcf(c_164442,plain,
! [X0: $i] : r1_tarski(np__0,k5_xboole_0(X0,X0)),
inference(superposition,[status(thm)],[c_45740,c_2608]) ).
tcf(c_164443,plain,
! [X0: $i,X1: $i] : r1_tarski(k4_xboole_0(X0,X1),k5_xboole_0(k3_tarski(k2_tarski(X0,X1)),X1)),
inference(superposition,[status(thm)],[c_485,c_2608]) ).
tcf(c_164444,plain,
! [X0: $i] : r1_tarski(np__0,k5_xboole_0(np__0,X0)),
inference(superposition,[status(thm)],[c_1739,c_2608]) ).
tcf(c_164446,plain,
! [X0: $i,X1: $i] : r1_tarski(k4_xboole_0(X0,k4_xboole_0(X1,X0)),k3_tarski(k2_tarski(X0,X1))),
inference(superposition,[status(thm)],[c_2606,c_2608]) ).
tcf(c_164447,plain,
! [X0: $i] : r1_tarski(k4_xboole_0(X0,X0),np__0),
inference(superposition,[status(thm)],[c_2612,c_2608]) ).
tcf(c_164448,plain,
! [X0: $i,X1: $i,X2: $i] : r1_tarski(k4_xboole_0(k5_xboole_0(X0,X1),X2),k5_xboole_0(X0,k5_xboole_0(X1,X2))),
inference(superposition,[status(thm)],[c_2613,c_2608]) ).
tcf(c_164449,plain,
! [X0: $i] : r1_tarski(k4_xboole_0(X0,np__0),X0),
inference(superposition,[status(thm)],[c_2614,c_2608]) ).
tcf(c_164451,plain,
! [X0: $i] : r1_tarski(k4_xboole_0(np__0,X0),X0),
inference(superposition,[status(thm)],[c_160917,c_2608]) ).
tcf(c_164458,plain,
! [X0: $i,X1: $i] : r1_tarski(k4_xboole_0(X0,X1),k5_xboole_0(X1,k3_tarski(k2_tarski(X0,X1)))),
inference(theory_normalisation,[status(thm)],[c_164443,c_2613,c_2615]) ).
tcf(c_164478,plain,
( v1_xcmplx_0(sK223(k1_numbers))
| v1_membered(k3_tarski(k1_numbers)) ),
inference(superposition,[status(thm)],[c_163455,c_2750]) ).
tcf(c_164492,plain,
( v1_xreal_0(sK246(k4_numbers))
| v1_membered(k3_tarski(k4_numbers)) ),
inference(superposition,[status(thm)],[c_163507,c_2716]) ).
tcf(c_164493,plain,
( v1_xcmplx_0(sK246(k4_numbers))
| v1_membered(k3_tarski(k4_numbers)) ),
inference(superposition,[status(thm)],[c_163507,c_2715]) ).
tcf(c_164502,plain,
( v1_xcmplx_0(sK246(k1_numbers))
| v1_membered(k3_tarski(k1_numbers)) ),
inference(superposition,[status(thm)],[c_163508,c_2750]) ).
tcf(c_164509,plain,
( v1_xreal_0(sK231(k4_numbers))
| v2_membered(k3_tarski(k4_numbers)) ),
inference(superposition,[status(thm)],[c_163628,c_162309]) ).
tcf(c_164510,plain,
( v1_xreal_0(sK231(k4_numbers))
| v1_membered(k3_tarski(k4_numbers)) ),
inference(superposition,[status(thm)],[c_163628,c_162281]) ).
tcf(c_164511,plain,
( v1_xreal_0(sK231(k4_numbers))
| v3_membered(k3_tarski(k4_numbers)) ),
inference(superposition,[status(thm)],[c_163628,c_1481]) ).
tcf(c_164526,plain,
( v1_xcmplx_0(sK231(k1_numbers))
| v2_membered(k3_tarski(k1_numbers)) ),
inference(superposition,[status(thm)],[c_163745,c_2750]) ).
tcf(c_164533,plain,
( v1_xcmplx_0(sK231(k1_numbers))
| v1_membered(k3_tarski(k1_numbers)) ),
inference(superposition,[status(thm)],[c_163746,c_2750]) ).
tcf(c_164546,plain,
( v1_xreal_0(sK238(k4_numbers))
| v1_membered(k3_tarski(k4_numbers)) ),
inference(superposition,[status(thm)],[c_163783,c_2716]) ).
tcf(c_164547,plain,
( v1_xcmplx_0(sK238(k4_numbers))
| v1_membered(k3_tarski(k4_numbers)) ),
inference(superposition,[status(thm)],[c_163783,c_2715]) ).
tcf(c_164556,plain,
( v1_xreal_0(sK238(k4_numbers))
| v2_membered(k3_tarski(k4_numbers)) ),
inference(superposition,[status(thm)],[c_163784,c_2716]) ).
tcf(c_164557,plain,
( v1_xcmplx_0(sK238(k4_numbers))
| v2_membered(k3_tarski(k4_numbers)) ),
inference(superposition,[status(thm)],[c_163784,c_2715]) ).
tcf(c_164566,plain,
( v1_xcmplx_0(sK238(k1_numbers))
| v1_membered(k3_tarski(k1_numbers)) ),
inference(superposition,[status(thm)],[c_163793,c_2750]) ).
tcf(c_164667,plain,
( v1_xcmplx_0(sK238(k1_numbers))
| v2_membered(k3_tarski(k1_numbers)) ),
inference(superposition,[status(thm)],[c_163794,c_2750]) ).
tcf(c_164687,plain,
! [X0: $i,X1: $i] :
( v3_ordinal1(k5_xboole_0(X0,X1))
| ~ v1_xboole_0(k2_tarski(k4_xboole_0(X0,X1),k4_xboole_0(X1,X0))) ),
inference(superposition,[status(thm)],[c_2624,c_164233]) ).
tcf(c_164688,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v3_ordinal1(k4_xboole_0(k2_zfmisc_1(X0,X2),k2_zfmisc_1(X1,X3)))
| ~ v1_xboole_0(k2_tarski(k2_zfmisc_1(k4_xboole_0(X0,X1),X2),k2_zfmisc_1(X0,k4_xboole_0(X2,X3)))) ),
inference(superposition,[status(thm)],[c_471,c_164233]) ).
tcf(c_164689,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_ordinal1(k2_zfmisc_1(X0,k3_tarski(k2_tarski(X1,X2))))
| ~ v1_xboole_0(k2_tarski(k2_zfmisc_1(X0,X1),k2_zfmisc_1(X0,X2))) ),
inference(superposition,[status(thm)],[c_474,c_164233]) ).
tcf(c_164690,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_ordinal1(k2_zfmisc_1(k3_tarski(k2_tarski(X0,X2)),X1))
| ~ v1_xboole_0(k2_tarski(k2_zfmisc_1(X0,X1),k2_zfmisc_1(X2,X1))) ),
inference(superposition,[status(thm)],[c_473,c_164233]) ).
tcf(c_164691,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_ordinal1(k3_tarski(k2_tarski(X0,k3_tarski(k2_tarski(X1,X2)))))
| ~ v1_xboole_0(k2_tarski(k3_tarski(k2_tarski(X0,X1)),X2)) ),
inference(superposition,[status(thm)],[c_500,c_164233]) ).
tcf(c_164692,plain,
! [X0: $i,X1: $i] :
( v3_ordinal1(k3_tarski(k2_tarski(X0,X1)))
| ~ v1_xboole_0(k2_tarski(X0,k4_xboole_0(X1,X0))) ),
inference(superposition,[status(thm)],[c_486,c_164233]) ).
tcf(c_164693,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_ordinal1(k4_xboole_0(k3_tarski(k2_tarski(X0,X2)),X1))
| ~ v1_xboole_0(k2_tarski(k4_xboole_0(X0,X1),k4_xboole_0(X2,X1))) ),
inference(superposition,[status(thm)],[c_483,c_164233]) ).
tcf(c_164694,plain,
! [X0: $i,X1: $i] :
( v3_ordinal1(k3_tarski(k2_tarski(X0,X1)))
| ~ v1_xboole_0(k2_tarski(X0,k3_tarski(k2_tarski(X0,X1)))) ),
inference(superposition,[status(thm)],[c_498,c_164233]) ).
tcf(c_164695,plain,
! [X0: $i] :
( v3_ordinal1(X0)
| ~ v1_xboole_0(k2_tarski(X0,np__0)) ),
inference(superposition,[status(thm)],[c_501,c_164233]) ).
tcf(c_164696,plain,
! [X0: $i] :
( v3_ordinal1(X0)
| ~ v1_xboole_0(k2_tarski(X0,X0)) ),
inference(superposition,[status(thm)],[c_502,c_164233]) ).
tcf(c_164698,plain,
! [X0: $i,X1: $i] :
( v3_ordinal1(k3_tarski(k3_tarski(k2_tarski(X0,X1))))
| ~ v1_xboole_0(k2_tarski(k3_tarski(X0),k3_tarski(X1))) ),
inference(superposition,[status(thm)],[c_2509,c_164233]) ).
tcf(c_164718,plain,
( v1_xcmplx_0(sK223(k4_numbers))
| v2_membered(k3_tarski(k4_numbers)) ),
inference(superposition,[status(thm)],[c_164319,c_2750]) ).
tcf(c_164725,plain,
( v1_xcmplx_0(sK223(k4_numbers))
| v1_membered(k3_tarski(k4_numbers)) ),
inference(superposition,[status(thm)],[c_164320,c_2750]) ).
tcf(c_164825,plain,
! [X0: $i] :
( v3_ordinal1(sK549(X0))
| m1_subset_1(sK549(X0),X0) ),
inference(superposition,[status(thm)],[c_3503,c_626]) ).
tcf(c_164826,plain,
! [X0: $i] :
( v3_ordinal1(sK549(X0))
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_3503,c_597]) ).
tcf(c_164827,plain,
v3_ordinal1(sK549(np__0)),
inference(superposition,[status(thm)],[c_3503,c_698]) ).
tcf(c_164828,plain,
( v3_ordinal1(sK549(k4_numbers))
| v1_int_1(sK549(k4_numbers)) ),
inference(superposition,[status(thm)],[c_3503,c_2722]) ).
tcf(c_164829,plain,
( v3_ordinal1(sK549(k1_numbers))
| v1_xreal_0(sK549(k1_numbers)) ),
inference(superposition,[status(thm)],[c_3503,c_2743]) ).
tcf(c_164846,plain,
! [X0: $i] :
( v3_ordinal1(sK551(X0))
| m1_subset_1(sK550(X0),X0) ),
inference(superposition,[status(thm)],[c_3507,c_626]) ).
tcf(c_164847,plain,
! [X0: $i] :
( v3_ordinal1(sK551(X0))
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_3507,c_597]) ).
tcf(c_164848,plain,
v3_ordinal1(sK551(np__0)),
inference(superposition,[status(thm)],[c_3507,c_698]) ).
tcf(c_164849,plain,
( v3_ordinal1(sK551(k4_numbers))
| v1_int_1(sK550(k4_numbers)) ),
inference(superposition,[status(thm)],[c_3507,c_2722]) ).
tcf(c_164850,plain,
( v3_ordinal1(sK551(k1_numbers))
| v1_xreal_0(sK550(k1_numbers)) ),
inference(superposition,[status(thm)],[c_3507,c_2743]) ).
tcf(c_164863,plain,
v1_membered(sK52(k1_zfmisc_1(k2_numbers))),
inference(superposition,[status(thm)],[c_161,c_3643]) ).
tcf(c_164864,plain,
( v1_xboole_0(k2_numbers)
| v1_membered(sK87(k2_numbers)) ),
inference(superposition,[status(thm)],[c_593,c_3643]) ).
tcf(c_164866,plain,
( v1_xboole_0(k2_numbers)
| v1_membered(sK264(k2_numbers)) ),
inference(superposition,[status(thm)],[c_1687,c_3643]) ).
tcf(c_164867,plain,
( v1_xboole_0(k2_numbers)
| v1_membered(sK265(k2_numbers)) ),
inference(superposition,[status(thm)],[c_1695,c_3643]) ).
tcf(c_164868,plain,
( v1_relat_1(k1_zfmisc_1(k2_numbers))
| v1_membered(sK146(k1_zfmisc_1(k2_numbers))) ),
inference(superposition,[status(thm)],[c_161344,c_3643]) ).
tcf(c_164869,plain,
( v5_membered(k1_zfmisc_1(k2_numbers))
| v1_membered(sK229(k1_zfmisc_1(k2_numbers))) ),
inference(superposition,[status(thm)],[c_161345,c_3643]) ).
tcf(c_164870,plain,
( v4_membered(k1_zfmisc_1(k2_numbers))
| v1_membered(sK237(k1_zfmisc_1(k2_numbers))) ),
inference(superposition,[status(thm)],[c_161346,c_3643]) ).
tcf(c_164871,plain,
( v2_membered(k1_zfmisc_1(k2_numbers))
| v1_membered(sK245(k1_zfmisc_1(k2_numbers))) ),
inference(superposition,[status(thm)],[c_161347,c_3643]) ).
tcf(c_164872,plain,
( v1_membered(k1_zfmisc_1(k2_numbers))
| v1_membered(sK251(k1_zfmisc_1(k2_numbers))) ),
inference(superposition,[status(thm)],[c_161348,c_3643]) ).
tcf(c_164873,plain,
( v1_realset1(k1_zfmisc_1(k2_numbers))
| v1_membered(sK315(k1_zfmisc_1(k2_numbers))) ),
inference(superposition,[status(thm)],[c_161349,c_3643]) ).
tcf(c_164874,plain,
( v1_realset1(k1_zfmisc_1(k2_numbers))
| v1_membered(sK316(k1_zfmisc_1(k2_numbers))) ),
inference(superposition,[status(thm)],[c_161350,c_3643]) ).
tcf(c_164875,plain,
( v3_ordinal1(k1_zfmisc_1(k2_numbers))
| v1_membered(sK552(k1_zfmisc_1(k2_numbers))) ),
inference(superposition,[status(thm)],[c_161356,c_3643]) ).
tcf(c_164876,plain,
( v4_finsub_1(k1_zfmisc_1(k2_numbers))
| v1_membered(sK558(k1_zfmisc_1(k2_numbers))) ),
inference(superposition,[status(thm)],[c_161357,c_3643]) ).
tcf(c_164877,plain,
( v4_finsub_1(k1_zfmisc_1(k2_numbers))
| v1_membered(sK559(k1_zfmisc_1(k2_numbers))) ),
inference(superposition,[status(thm)],[c_161358,c_3643]) ).
tcf(c_164878,plain,
v1_membered(sK265(k2_numbers)),
inference(forward_subsumption_resolution,[status(thm)],[c_164867,c_3648]) ).
tcf(c_164879,plain,
v1_membered(sK264(k2_numbers)),
inference(forward_subsumption_resolution,[status(thm)],[c_164866,c_3648]) ).
tcf(c_164880,plain,
v1_membered(sK87(k2_numbers)),
inference(forward_subsumption_resolution,[status(thm)],[c_164864,c_3648]) ).
tcf(c_165027,plain,
! [X0: $i] :
( v1_xreal_0(k2_xcmplx_0(X0,np__1))
| ~ v1_int_1(X0) ),
inference(superposition,[status(thm)],[c_7912,c_2716]) ).
tcf(c_165028,plain,
! [X0: $i] :
( v1_xcmplx_0(k2_xcmplx_0(X0,np__1))
| ~ v1_int_1(X0) ),
inference(superposition,[status(thm)],[c_7912,c_2715]) ).
tcf(c_165039,plain,
! [X0: $i] :
( v1_xreal_0(k6_xcmplx_0(X0,np__1))
| ~ v1_int_1(X0) ),
inference(superposition,[status(thm)],[c_7914,c_2716]) ).
tcf(c_165040,plain,
! [X0: $i] :
( v1_xcmplx_0(k6_xcmplx_0(X0,np__1))
| ~ v1_int_1(X0) ),
inference(superposition,[status(thm)],[c_7914,c_2715]) ).
tcf(c_165055,plain,
( v1_xcmplx_0(sK231(k4_numbers))
| v2_membered(k3_tarski(k4_numbers)) ),
inference(superposition,[status(thm)],[c_164509,c_2750]) ).
tcf(c_165062,plain,
( v1_xcmplx_0(sK231(k4_numbers))
| v1_membered(k3_tarski(k4_numbers)) ),
inference(superposition,[status(thm)],[c_164510,c_2750]) ).
tcf(c_165208,plain,
! [X0: $i] :
( v1_finset_1(sK223(k5_finsub_1(X0)))
| v5_membered(k3_tarski(k5_finsub_1(X0))) ),
inference(superposition,[status(thm)],[c_1321,c_14774]) ).
tcf(c_165210,plain,
! [X0: $i] :
( v1_finset_1(sK231(k5_finsub_1(X0)))
| v4_membered(k3_tarski(k5_finsub_1(X0))) ),
inference(superposition,[status(thm)],[c_1413,c_14774]) ).
tcf(c_165212,plain,
! [X0: $i] :
( v1_finset_1(sK238(k5_finsub_1(X0)))
| v3_membered(k3_tarski(k5_finsub_1(X0))) ),
inference(superposition,[status(thm)],[c_1483,c_14774]) ).
tcf(c_165213,plain,
! [X0: $i] :
( v1_finset_1(sK239(k5_finsub_1(X0)))
| v2_membered(k3_tarski(k5_finsub_1(X0))) ),
inference(superposition,[status(thm)],[c_1513,c_14774]) ).
tcf(c_165215,plain,
! [X0: $i] :
( v1_finset_1(sK246(k5_finsub_1(X0)))
| v1_membered(k3_tarski(k5_finsub_1(X0))) ),
inference(superposition,[status(thm)],[c_1559,c_14774]) ).
tcf(c_165219,plain,
! [X0: $i] :
( v3_ordinal1(k3_tarski(k5_finsub_1(X0)))
| v1_finset_1(sK395(k5_finsub_1(X0))) ),
inference(superposition,[status(thm)],[c_2503,c_14774]) ).
tcf(c_165220,plain,
! [X0: $i] :
( v3_ordinal1(k1_setfam_1(k5_finsub_1(X0)))
| v1_finset_1(sK400(k5_finsub_1(X0))) ),
inference(superposition,[status(thm)],[c_2531,c_14774]) ).
tcf(c_165221,plain,
! [X0: $i] :
( v3_ordinal1(sK549(k5_finsub_1(X0)))
| v1_finset_1(sK549(k5_finsub_1(X0))) ),
inference(superposition,[status(thm)],[c_3503,c_14774]) ).
tcf(c_165222,plain,
! [X0: $i] :
( v3_ordinal1(sK551(k5_finsub_1(X0)))
| v1_finset_1(sK550(k5_finsub_1(X0))) ),
inference(superposition,[status(thm)],[c_3507,c_14774]) ).
tcf(c_165226,plain,
! [X0: $i] :
( v1_finset_1(X0)
| ~ r2_hidden(X0,k1_zfmisc_1(np__0)) ),
inference(superposition,[status(thm)],[c_46572,c_14774]) ).
tcf(c_165472,plain,
! [X0: $i] : r1_tarski(X0,k3_tarski(k2_tarski(X0,X0))),
inference(superposition,[status(thm)],[c_47410,c_2542]) ).
tcf(c_165481,plain,
r1_tarski(k1_setfam_1(k1_zfmisc_1(np__0)),np__0),
inference(superposition,[status(thm)],[c_47417,c_162385]) ).
tcf(c_165484,plain,
! [X0: $i] : k3_tarski(k2_tarski(k1_zfmisc_1(np__0),X0)) != np__0,
inference(superposition,[status(thm)],[c_47417,c_2679]) ).
tcf(c_165488,plain,
~ v1_xboole_0(k1_zfmisc_1(np__0)),
inference(superposition,[status(thm)],[c_47417,c_2655]) ).
tcf(c_165489,plain,
v1_finset_1(k1_zfmisc_1(np__0)),
inference(superposition,[status(thm)],[c_47417,c_1694]) ).
tcf(c_165490,plain,
! [X0: $i] : k3_tarski(k2_tarski(np__0,k3_tarski(k2_tarski(np__0,X0)))) = k3_tarski(k2_tarski(k3_tarski(k1_zfmisc_1(np__0)),X0)),
inference(superposition,[status(thm)],[c_47417,c_500]) ).
tcf(c_165491,plain,
k3_tarski(k2_tarski(np__0,k3_tarski(k1_zfmisc_1(np__0)))) = k3_tarski(k1_zfmisc_1(np__0)),
inference(superposition,[status(thm)],[c_47417,c_498]) ).
tcf(c_165493,plain,
k4_xboole_0(k3_tarski(k1_zfmisc_1(np__0)),np__0) = k4_xboole_0(np__0,np__0),
inference(superposition,[status(thm)],[c_47417,c_485]) ).
tcf(c_165494,plain,
! [X0: $i] : k4_xboole_0(k4_xboole_0(X0,np__0),np__0) = k4_xboole_0(X0,k3_tarski(k1_zfmisc_1(np__0))),
inference(superposition,[status(thm)],[c_47417,c_484]) ).
tcf(c_165495,plain,
! [X0: $i,X1: $i] :
( ( X0 = np__0 )
| ( k2_tarski(X0,X1) != k1_zfmisc_1(np__0) ) ),
inference(superposition,[status(thm)],[c_47417,c_2702]) ).
tcf(c_165498,plain,
! [X0: $i] : r1_tarski(k1_zfmisc_1(np__0),k2_tarski(X0,np__0)),
inference(superposition,[status(thm)],[c_47417,c_47412]) ).
tcf(c_165499,plain,
! [X0: $i] : r1_tarski(k1_zfmisc_1(np__0),k2_tarski(np__0,X0)),
inference(superposition,[status(thm)],[c_47417,c_47411]) ).
tcf(c_165500,plain,
k1_setfam_1(k1_zfmisc_1(np__0)) = np__0,
inference(superposition,[status(thm)],[c_47417,c_47410]) ).
tcf(c_165501,plain,
( v1_membered(k1_zfmisc_1(np__0))
| ~ v1_xcmplx_0(np__0) ),
inference(superposition,[status(thm)],[c_47417,c_47408]) ).
tcf(c_165502,plain,
( v2_membered(k1_zfmisc_1(np__0))
| ~ v1_xreal_0(np__0) ),
inference(superposition,[status(thm)],[c_47417,c_47407]) ).
tcf(c_165503,plain,
( v1_membered(k1_zfmisc_1(np__0))
| ~ v1_xreal_0(np__0) ),
inference(superposition,[status(thm)],[c_47417,c_47406]) ).
tcf(c_165504,plain,
( v4_membered(k1_zfmisc_1(np__0))
| ~ v1_int_1(np__0) ),
inference(superposition,[status(thm)],[c_47417,c_47405]) ).
tcf(c_165505,plain,
( v3_membered(k1_zfmisc_1(np__0))
| ~ v1_int_1(np__0) ),
inference(superposition,[status(thm)],[c_47417,c_47404]) ).
tcf(c_165506,plain,
( v2_membered(k1_zfmisc_1(np__0))
| ~ v1_int_1(np__0) ),
inference(superposition,[status(thm)],[c_47417,c_47403]) ).
tcf(c_165507,plain,
( v1_membered(k1_zfmisc_1(np__0))
| ~ v1_int_1(np__0) ),
inference(superposition,[status(thm)],[c_47417,c_47402]) ).
tcf(c_165508,plain,
( v5_membered(k1_zfmisc_1(np__0))
| ~ v4_ordinal2(np__0) ),
inference(superposition,[status(thm)],[c_47417,c_47401]) ).
tcf(c_165509,plain,
( v4_membered(k1_zfmisc_1(np__0))
| ~ v4_ordinal2(np__0) ),
inference(superposition,[status(thm)],[c_47417,c_47400]) ).
tcf(c_165510,plain,
( v3_membered(k1_zfmisc_1(np__0))
| ~ v4_ordinal2(np__0) ),
inference(superposition,[status(thm)],[c_47417,c_47399]) ).
tcf(c_165511,plain,
( v2_membered(k1_zfmisc_1(np__0))
| ~ v4_ordinal2(np__0) ),
inference(superposition,[status(thm)],[c_47417,c_47398]) ).
tcf(c_165512,plain,
( v1_membered(k1_zfmisc_1(np__0))
| ~ v4_ordinal2(np__0) ),
inference(superposition,[status(thm)],[c_47417,c_47397]) ).
tcf(c_165514,plain,
v1_realset1(k1_zfmisc_1(np__0)),
inference(superposition,[status(thm)],[c_47417,c_47415]) ).
tcf(c_165517,plain,
r1_tarski(np__0,k3_tarski(k1_zfmisc_1(np__0))),
inference(superposition,[status(thm)],[c_47417,c_162055]) ).
tcf(c_165519,plain,
r2_hidden(np__0,k1_zfmisc_1(np__0)),
inference(superposition,[status(thm)],[c_47417,c_2712]) ).
tcf(c_165520,plain,
! [X0: $i] : r2_wellord2(X0,k1_funct_2(k1_zfmisc_1(np__0),X0)),
inference(superposition,[status(thm)],[c_47417,c_47416]) ).
tcf(c_165548,plain,
! [X0: $i] : k4_xboole_0(X0,k3_tarski(k1_zfmisc_1(np__0))) = X0,
inference(light_normalisation,[status(thm)],[c_165494,c_1740]) ).
tcf(c_165549,plain,
! [X0: $i] : k3_tarski(k2_tarski(k3_tarski(k1_zfmisc_1(np__0)),X0)) = X0,
inference(light_normalisation,[status(thm)],[c_165490,c_162072]) ).
tcf(c_165675,plain,
! [X0: $i] : r2_wellord2(k1_zfmisc_1(np__0),k2_tarski(X0,X0)),
inference(superposition,[status(thm)],[c_47417,c_47591]) ).
tcf(c_165676,plain,
! [X0: $i] : r2_wellord2(k2_tarski(X0,X0),k1_zfmisc_1(np__0)),
inference(superposition,[status(thm)],[c_47417,c_47591]) ).
tcf(c_165679,plain,
k1_zfmisc_1(np__0) != np__0,
inference(superposition,[status(thm)],[c_47417,c_54021]) ).
tcf(c_165694,plain,
v1_membered(k1_zfmisc_1(np__0)),
inference(global_subsumption_just,[status(thm)],[c_165501,c_3240,c_1396,c_4188,c_4221,c_165503]) ).
tcf(c_165696,plain,
v2_membered(k1_zfmisc_1(np__0)),
inference(global_subsumption_just,[status(thm)],[c_165502,c_3240,c_1396,c_4188,c_4221,c_165502]) ).
tcf(c_165881,plain,
r2_wellord2(k1_zfmisc_1(np__0),k1_zfmisc_1(np__0)),
inference(superposition,[status(thm)],[c_47417,c_165675]) ).
tcf(c_166043,plain,
! [X0: $i,X1: $i] : k2_enumset1(X0,X1,X1,X1) = k2_tarski(X1,X0),
inference(superposition,[status(thm)],[c_3626,c_3618]) ).
tcf(c_166047,plain,
! [X0: $i,X1: $i] : k2_enumset1(X0,X1,X0,X0) = k2_tarski(X0,X1),
inference(superposition,[status(thm)],[c_3626,c_3622]) ).
tcf(c_166049,plain,
! [X0: $i,X1: $i] : k2_enumset1(X0,X0,X1,X0) = k2_tarski(X0,X1),
inference(superposition,[status(thm)],[c_3626,c_3625]) ).
tcf(c_166082,plain,
~ iPr_def_32,
inference(superposition,[status(thm)],[c_161,c_120019]) ).
tcf(c_166096,plain,
( iPr_def_33
| ~ sP31(sK530)
| v3_struct_0(sK530) ),
inference(global_subsumption_just,[status(thm)],[c_120021,c_120021,c_166082]) ).
tcf(c_166097,plain,
( iPr_def_33
| v3_struct_0(sK530)
| ~ sP31(sK530) ),
inference(renaming,[status(thm)],[c_166096]) ).
tcf(c_166104,plain,
( iPr_def_34
| ~ sP31(sK530)
| v3_struct_0(sK530) ),
inference(global_subsumption_just,[status(thm)],[c_120023,c_120023,c_166082]) ).
tcf(c_166105,plain,
( iPr_def_34
| v3_struct_0(sK530)
| ~ sP31(sK530) ),
inference(renaming,[status(thm)],[c_166104]) ).
tcf(c_166112,plain,
! [X0: $i,X1: $i,X2: $i] : r1_tarski(k1_setfam_1(k2_tarski(k4_xboole_0(X0,X1),X2)),X0),
inference(superposition,[status(thm)],[c_2532,c_159540]) ).
tcf(c_166116,plain,
! [X0: $i,X1: $i,X2: $i] : r1_tarski(k4_xboole_0(k1_setfam_1(k2_tarski(X0,X1)),X2),X0),
inference(superposition,[status(thm)],[c_2532,c_159540]) ).
tcf(c_166117,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : r1_tarski(k4_xboole_0(k2_zfmisc_1(k4_xboole_0(X0,X1),X2),X3),k2_zfmisc_1(X0,X2)),
inference(superposition,[status(thm)],[c_1713,c_159540]) ).
tcf(c_166118,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : r1_tarski(k4_xboole_0(k2_zfmisc_1(X0,k4_xboole_0(X1,X2)),X3),k2_zfmisc_1(X0,X1)),
inference(superposition,[status(thm)],[c_1714,c_159540]) ).
tcf(c_166119,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : r1_tarski(k4_xboole_0(k4_xboole_0(k4_xboole_0(X0,X1),X2),X3),X0),
inference(superposition,[status(thm)],[c_484,c_159540]) ).
tcf(c_166121,plain,
! [X0: $i,X1: $i] : r1_tarski(k4_xboole_0(np__0,X0),X1),
inference(superposition,[status(thm)],[c_45740,c_159540]) ).
tcf(c_166122,plain,
! [X0: $i,X1: $i,X2: $i] : r1_tarski(k4_xboole_0(k4_xboole_0(X0,X1),X2),k3_tarski(k2_tarski(X0,X1))),
inference(superposition,[status(thm)],[c_485,c_159540]) ).
tcf(c_166123,plain,
! [X0: $i] : r1_tarski(k4_xboole_0(np__0,X0),np__0),
inference(superposition,[status(thm)],[c_1739,c_159540]) ).
tcf(c_166136,plain,
! [X0: $i] :
( v3_ordinal1(X0)
| ~ v3_ordinal1(k2_tarski(np__0,X0)) ),
inference(superposition,[status(thm)],[c_2707,c_160346]) ).
tcf(c_166150,plain,
! [X0: $i] : r1_tarski(np__0,k3_tarski(k2_tarski(np__0,X0))),
inference(superposition,[status(thm)],[c_160608,c_2542]) ).
tcf(c_166158,plain,
! [X0: $i] : r1_tarski(np__0,k3_tarski(k2_tarski(X0,np__0))),
inference(superposition,[status(thm)],[c_160609,c_2542]) ).
tcf(c_166166,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : k3_tarski(k2_tarski(k2_tarski(X0,X1),k2_tarski(X2,X3))) = k2_enumset1(X2,X3,X0,X1),
inference(superposition,[status(thm)],[c_2707,c_3627]) ).
tcf(c_166168,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : k3_tarski(k2_tarski(k2_tarski(X0,X1),k2_tarski(X2,X3))) = k2_enumset1(X1,X0,X2,X3),
inference(superposition,[status(thm)],[c_2707,c_3627]) ).
tcf(c_166170,plain,
! [X0: $i,X1: $i] : k3_tarski(k2_tarski(k1_zfmisc_1(np__0),k2_tarski(X0,X1))) = k2_enumset1(np__0,np__0,X0,X1),
inference(superposition,[status(thm)],[c_47417,c_3627]) ).
tcf(c_166171,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : k3_tarski(k2_tarski(k2_tarski(X0,X1),k2_tarski(X2,X3))) = k2_enumset1(X0,X1,X3,X2),
inference(superposition,[status(thm)],[c_2707,c_3627]) ).
tcf(c_166173,plain,
! [X0: $i,X1: $i] : k3_tarski(k2_tarski(k2_tarski(X0,X1),k1_zfmisc_1(np__0))) = k2_enumset1(X0,X1,np__0,np__0),
inference(superposition,[status(thm)],[c_47417,c_3627]) ).
tcf(c_166174,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : r1_tarski(k2_tarski(X0,X1),k2_enumset1(X0,X1,X2,X3)),
inference(superposition,[status(thm)],[c_3627,c_497]) ).
tcf(c_166175,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : k3_tarski(k2_tarski(k2_tarski(X0,X1),k3_tarski(k2_tarski(k2_tarski(X2,X3),X4)))) = k3_tarski(k2_tarski(k2_enumset1(X0,X1,X2,X3),X4)),
inference(superposition,[status(thm)],[c_3627,c_500]) ).
tcf(c_166176,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : k3_tarski(k2_tarski(k2_tarski(X0,X1),k2_enumset1(X0,X1,X2,X3))) = k2_enumset1(X0,X1,X2,X3),
inference(superposition,[status(thm)],[c_3627,c_498]) ).
tcf(c_166178,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : k4_xboole_0(k2_enumset1(X0,X1,X2,X3),k2_tarski(X2,X3)) = k4_xboole_0(k2_tarski(X0,X1),k2_tarski(X2,X3)),
inference(superposition,[status(thm)],[c_3627,c_485]) ).
tcf(c_166179,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : k4_xboole_0(k4_xboole_0(X0,k2_tarski(X1,X2)),k2_tarski(X3,X4)) = k4_xboole_0(X0,k2_enumset1(X1,X2,X3,X4)),
inference(superposition,[status(thm)],[c_3627,c_484]) ).
tcf(c_166180,plain,
! [X0: $i,X1: $i] : k2_enumset1(X0,X1,X0,X1) = k2_tarski(X0,X1),
inference(superposition,[status(thm)],[c_3627,c_502]) ).
tcf(c_166181,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : r1_tarski(k2_tarski(X0,X1),k2_enumset1(X2,X3,X0,X1)),
inference(superposition,[status(thm)],[c_3627,c_162055]) ).
tcf(c_166182,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v3_ordinal1(k2_enumset1(X0,X1,X2,X3))
| ~ v1_xboole_0(k2_tarski(k2_tarski(X0,X1),k2_tarski(X2,X3))) ),
inference(superposition,[status(thm)],[c_3627,c_164233]) ).
tcf(c_166183,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v1_membered(k2_enumset1(X0,X1,X2,X3))
| ~ v1_xboole_0(k2_tarski(k2_tarski(X0,X1),k2_tarski(X2,X3))) ),
inference(superposition,[status(thm)],[c_3627,c_163434]) ).
tcf(c_166184,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v2_membered(k2_enumset1(X0,X1,X2,X3))
| ~ v1_xboole_0(k2_tarski(k2_tarski(X0,X1),k2_tarski(X2,X3))) ),
inference(superposition,[status(thm)],[c_3627,c_163150]) ).
tcf(c_166185,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v3_membered(k2_enumset1(X0,X1,X2,X3))
| ~ v1_xboole_0(k2_tarski(k2_tarski(X0,X1),k2_tarski(X2,X3))) ),
inference(superposition,[status(thm)],[c_3627,c_162596]) ).
tcf(c_166186,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v4_membered(k2_enumset1(X0,X1,X2,X3))
| ~ v1_xboole_0(k2_tarski(k2_tarski(X0,X1),k2_tarski(X2,X3))) ),
inference(superposition,[status(thm)],[c_3627,c_162258]) ).
tcf(c_166187,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v5_membered(k2_enumset1(X0,X1,X2,X3))
| ~ v1_xboole_0(k2_tarski(k2_tarski(X0,X1),k2_tarski(X2,X3))) ),
inference(superposition,[status(thm)],[c_3627,c_161606]) ).
tcf(c_166188,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : k3_tarski(k3_tarski(k2_tarski(k2_tarski(k2_tarski(X0,X1),k2_tarski(X2,X3)),X4))) = k3_tarski(k2_tarski(k2_enumset1(X0,X1,X2,X3),k3_tarski(X4))),
inference(superposition,[status(thm)],[c_3627,c_2509]) ).
tcf(c_166189,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v3_ordinal1(k2_enumset1(X0,X1,X2,X3))
| ~ v3_ordinal1(k2_tarski(k2_tarski(X0,X1),k2_tarski(X2,X3))) ),
inference(superposition,[status(thm)],[c_3627,c_2504]) ).
tcf(c_166190,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v1_finset_1(k2_tarski(k2_tarski(X0,X1),k2_tarski(X2,X3)))
| ~ v1_finset_1(k2_enumset1(X0,X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_3627,c_2497]) ).
tcf(c_166191,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : r1_tarski(k1_setfam_1(k2_tarski(k2_tarski(X0,X1),k2_tarski(X2,X3))),k2_enumset1(X0,X1,X2,X3)),
inference(superposition,[status(thm)],[c_3627,c_2542]) ).
tcf(c_166192,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : r1_tarski(k2_tarski(k2_tarski(X0,X1),k2_tarski(X2,X3)),k1_zfmisc_1(k2_enumset1(X0,X1,X2,X3))),
inference(superposition,[status(thm)],[c_3627,c_2506]) ).
tcf(c_166193,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : k3_tarski(k3_tarski(k2_tarski(X0,k2_tarski(k2_tarski(X1,X2),k2_tarski(X3,X4))))) = k3_tarski(k2_tarski(k3_tarski(X0),k2_enumset1(X1,X2,X3,X4))),
inference(superposition,[status(thm)],[c_3627,c_2509]) ).
tcf(c_166194,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : k2_enumset1(X0,X1,X2,X3) != np__0,
inference(superposition,[status(thm)],[c_3627,c_2679]) ).
tcf(c_166228,plain,
( v5_membered(sK223(k1_zfmisc_1(k5_numbers)))
| v5_membered(k3_tarski(k1_zfmisc_1(k5_numbers))) ),
inference(superposition,[status(thm)],[c_161605,c_1404]) ).
tcf(c_166229,plain,
( v5_membered(k3_tarski(k1_zfmisc_1(k5_numbers)))
| v4_membered(sK223(k1_zfmisc_1(k5_numbers))) ),
inference(superposition,[status(thm)],[c_161605,c_1403]) ).
tcf(c_166230,plain,
( v5_membered(k3_tarski(k1_zfmisc_1(k5_numbers)))
| v3_membered(sK223(k1_zfmisc_1(k5_numbers))) ),
inference(superposition,[status(thm)],[c_161605,c_1402]) ).
tcf(c_166231,plain,
( v5_membered(k3_tarski(k1_zfmisc_1(k5_numbers)))
| v2_membered(sK223(k1_zfmisc_1(k5_numbers))) ),
inference(superposition,[status(thm)],[c_161605,c_1401]) ).
tcf(c_166232,plain,
( v5_membered(k3_tarski(k1_zfmisc_1(k5_numbers)))
| v1_membered(sK223(k1_zfmisc_1(k5_numbers))) ),
inference(superposition,[status(thm)],[c_161605,c_1400]) ).
tcf(c_166233,plain,
( v5_membered(k3_tarski(k1_zfmisc_1(k4_numbers)))
| v4_membered(sK223(k1_zfmisc_1(k4_numbers))) ),
inference(superposition,[status(thm)],[c_161605,c_1480]) ).
tcf(c_166234,plain,
( v5_membered(k3_tarski(k1_zfmisc_1(k4_numbers)))
| v3_membered(sK223(k1_zfmisc_1(k4_numbers))) ),
inference(superposition,[status(thm)],[c_161605,c_1479]) ).
tcf(c_166235,plain,
( v5_membered(k3_tarski(k1_zfmisc_1(k4_numbers)))
| v2_membered(sK223(k1_zfmisc_1(k4_numbers))) ),
inference(superposition,[status(thm)],[c_161605,c_1478]) ).
tcf(c_166236,plain,
( v5_membered(k3_tarski(k1_zfmisc_1(k4_numbers)))
| v1_membered(sK223(k1_zfmisc_1(k4_numbers))) ),
inference(superposition,[status(thm)],[c_161605,c_1477]) ).
tcf(c_166237,plain,
( v5_membered(k3_tarski(k1_zfmisc_1(k3_numbers)))
| v3_membered(sK223(k1_zfmisc_1(k3_numbers))) ),
inference(superposition,[status(thm)],[c_161605,c_1510]) ).
tcf(c_166238,plain,
( v5_membered(k3_tarski(k1_zfmisc_1(k3_numbers)))
| v2_membered(sK223(k1_zfmisc_1(k3_numbers))) ),
inference(superposition,[status(thm)],[c_161605,c_1509]) ).
tcf(c_166239,plain,
( v5_membered(k3_tarski(k1_zfmisc_1(k3_numbers)))
| v1_membered(sK223(k1_zfmisc_1(k3_numbers))) ),
inference(superposition,[status(thm)],[c_161605,c_1508]) ).
tcf(c_166240,plain,
( v5_membered(k3_tarski(k1_zfmisc_1(k1_numbers)))
| v2_membered(sK223(k1_zfmisc_1(k1_numbers))) ),
inference(superposition,[status(thm)],[c_161605,c_1556]) ).
tcf(c_166241,plain,
( v5_membered(k3_tarski(k1_zfmisc_1(k1_numbers)))
| v1_membered(sK223(k1_zfmisc_1(k1_numbers))) ),
inference(superposition,[status(thm)],[c_161605,c_1555]) ).
tcf(c_166244,plain,
( v5_membered(k3_tarski(k1_zfmisc_1(k2_numbers)))
| v1_membered(sK223(k1_zfmisc_1(k2_numbers))) ),
inference(superposition,[status(thm)],[c_161605,c_3643]) ).
tcf(c_166282,plain,
! [X0: $i] : k4_xboole_0(X0,X0) = k4_xboole_0(np__0,X0),
inference(superposition,[status(thm)],[c_162072,c_485]) ).
tcf(c_166283,plain,
! [X0: $i,X1: $i] : k4_xboole_0(k4_xboole_0(X0,np__0),X1) = k4_xboole_0(X0,X1),
inference(superposition,[status(thm)],[c_162072,c_484]) ).
tcf(c_166286,plain,
! [X0: $i] :
( v3_ordinal1(X0)
| ~ v1_xboole_0(k2_tarski(np__0,X0)) ),
inference(superposition,[status(thm)],[c_162072,c_164233]) ).
tcf(c_166287,plain,
! [X0: $i] :
( v1_membered(X0)
| ~ v1_xboole_0(k2_tarski(np__0,X0)) ),
inference(superposition,[status(thm)],[c_162072,c_163434]) ).
tcf(c_166288,plain,
! [X0: $i] :
( v2_membered(X0)
| ~ v1_xboole_0(k2_tarski(np__0,X0)) ),
inference(superposition,[status(thm)],[c_162072,c_163150]) ).
tcf(c_166289,plain,
! [X0: $i] :
( v3_membered(X0)
| ~ v1_xboole_0(k2_tarski(np__0,X0)) ),
inference(superposition,[status(thm)],[c_162072,c_162596]) ).
tcf(c_166290,plain,
! [X0: $i] :
( v4_membered(X0)
| ~ v1_xboole_0(k2_tarski(np__0,X0)) ),
inference(superposition,[status(thm)],[c_162072,c_162258]) ).
tcf(c_166291,plain,
! [X0: $i] :
( v5_membered(X0)
| ~ v1_xboole_0(k2_tarski(np__0,X0)) ),
inference(superposition,[status(thm)],[c_162072,c_161606]) ).
tcf(c_166292,plain,
! [X0: $i,X1: $i] : k3_tarski(k3_tarski(k2_tarski(k2_tarski(np__0,X0),X1))) = k3_tarski(k2_tarski(X0,k3_tarski(X1))),
inference(superposition,[status(thm)],[c_162072,c_2509]) ).
tcf(c_166294,plain,
! [X0: $i] :
( v1_finset_1(k2_tarski(np__0,X0))
| ~ v1_finset_1(X0) ),
inference(superposition,[status(thm)],[c_162072,c_2497]) ).
tcf(c_166295,plain,
! [X0: $i] : r1_tarski(k1_setfam_1(k2_tarski(np__0,X0)),X0),
inference(superposition,[status(thm)],[c_162072,c_2542]) ).
tcf(c_166297,plain,
! [X0: $i,X1: $i] : k3_tarski(k3_tarski(k2_tarski(X0,k2_tarski(np__0,X1)))) = k3_tarski(k2_tarski(k3_tarski(X0),X1)),
inference(superposition,[status(thm)],[c_162072,c_2509]) ).
tcf(c_166298,plain,
! [X0: $i] : r1_tarski(k4_xboole_0(np__0,np__0),X0),
inference(light_normalisation,[status(thm)],[c_166295,c_160599]) ).
tcf(c_166306,plain,
( v5_membered(sK231(k1_zfmisc_1(k5_numbers)))
| v4_membered(k3_tarski(k1_zfmisc_1(k5_numbers))) ),
inference(superposition,[status(thm)],[c_162257,c_1404]) ).
tcf(c_166307,plain,
( v4_membered(sK231(k1_zfmisc_1(k5_numbers)))
| v4_membered(k3_tarski(k1_zfmisc_1(k5_numbers))) ),
inference(superposition,[status(thm)],[c_162257,c_1403]) ).
tcf(c_166308,plain,
( v4_membered(k3_tarski(k1_zfmisc_1(k5_numbers)))
| v3_membered(sK231(k1_zfmisc_1(k5_numbers))) ),
inference(superposition,[status(thm)],[c_162257,c_1402]) ).
tcf(c_166309,plain,
( v4_membered(k3_tarski(k1_zfmisc_1(k5_numbers)))
| v2_membered(sK231(k1_zfmisc_1(k5_numbers))) ),
inference(superposition,[status(thm)],[c_162257,c_1401]) ).
tcf(c_166310,plain,
( v4_membered(k3_tarski(k1_zfmisc_1(k5_numbers)))
| v1_membered(sK231(k1_zfmisc_1(k5_numbers))) ),
inference(superposition,[status(thm)],[c_162257,c_1400]) ).
tcf(c_166311,plain,
( v4_membered(sK231(k1_zfmisc_1(k4_numbers)))
| v4_membered(k3_tarski(k1_zfmisc_1(k4_numbers))) ),
inference(superposition,[status(thm)],[c_162257,c_1480]) ).
tcf(c_166312,plain,
( v4_membered(k3_tarski(k1_zfmisc_1(k4_numbers)))
| v3_membered(sK231(k1_zfmisc_1(k4_numbers))) ),
inference(superposition,[status(thm)],[c_162257,c_1479]) ).
tcf(c_166313,plain,
( v4_membered(k3_tarski(k1_zfmisc_1(k4_numbers)))
| v2_membered(sK231(k1_zfmisc_1(k4_numbers))) ),
inference(superposition,[status(thm)],[c_162257,c_1478]) ).
tcf(c_166314,plain,
( v4_membered(k3_tarski(k1_zfmisc_1(k4_numbers)))
| v1_membered(sK231(k1_zfmisc_1(k4_numbers))) ),
inference(superposition,[status(thm)],[c_162257,c_1477]) ).
tcf(c_166315,plain,
( v4_membered(k3_tarski(k1_zfmisc_1(k3_numbers)))
| v3_membered(sK231(k1_zfmisc_1(k3_numbers))) ),
inference(superposition,[status(thm)],[c_162257,c_1510]) ).
tcf(c_166316,plain,
( v4_membered(k3_tarski(k1_zfmisc_1(k3_numbers)))
| v2_membered(sK231(k1_zfmisc_1(k3_numbers))) ),
inference(superposition,[status(thm)],[c_162257,c_1509]) ).
tcf(c_166317,plain,
( v4_membered(k3_tarski(k1_zfmisc_1(k3_numbers)))
| v1_membered(sK231(k1_zfmisc_1(k3_numbers))) ),
inference(superposition,[status(thm)],[c_162257,c_1508]) ).
tcf(c_166318,plain,
( v4_membered(k3_tarski(k1_zfmisc_1(k1_numbers)))
| v2_membered(sK231(k1_zfmisc_1(k1_numbers))) ),
inference(superposition,[status(thm)],[c_162257,c_1556]) ).
tcf(c_166319,plain,
( v4_membered(k3_tarski(k1_zfmisc_1(k1_numbers)))
| v1_membered(sK231(k1_zfmisc_1(k1_numbers))) ),
inference(superposition,[status(thm)],[c_162257,c_1555]) ).
tcf(c_166322,plain,
( v4_membered(k3_tarski(k1_zfmisc_1(k2_numbers)))
| v1_membered(sK231(k1_zfmisc_1(k2_numbers))) ),
inference(superposition,[status(thm)],[c_162257,c_3643]) ).
tcf(c_166357,plain,
( v5_membered(sK238(k1_zfmisc_1(k5_numbers)))
| v3_membered(k3_tarski(k1_zfmisc_1(k5_numbers))) ),
inference(superposition,[status(thm)],[c_162595,c_1404]) ).
tcf(c_166358,plain,
( v4_membered(sK238(k1_zfmisc_1(k5_numbers)))
| v3_membered(k3_tarski(k1_zfmisc_1(k5_numbers))) ),
inference(superposition,[status(thm)],[c_162595,c_1403]) ).
tcf(c_166359,plain,
( v3_membered(sK238(k1_zfmisc_1(k5_numbers)))
| v3_membered(k3_tarski(k1_zfmisc_1(k5_numbers))) ),
inference(superposition,[status(thm)],[c_162595,c_1402]) ).
tcf(c_166360,plain,
( v3_membered(k3_tarski(k1_zfmisc_1(k5_numbers)))
| v2_membered(sK238(k1_zfmisc_1(k5_numbers))) ),
inference(superposition,[status(thm)],[c_162595,c_1401]) ).
tcf(c_166361,plain,
( v3_membered(k3_tarski(k1_zfmisc_1(k5_numbers)))
| v1_membered(sK238(k1_zfmisc_1(k5_numbers))) ),
inference(superposition,[status(thm)],[c_162595,c_1400]) ).
tcf(c_166362,plain,
( v4_membered(sK238(k1_zfmisc_1(k4_numbers)))
| v3_membered(k3_tarski(k1_zfmisc_1(k4_numbers))) ),
inference(superposition,[status(thm)],[c_162595,c_1480]) ).
tcf(c_166363,plain,
( v3_membered(sK238(k1_zfmisc_1(k4_numbers)))
| v3_membered(k3_tarski(k1_zfmisc_1(k4_numbers))) ),
inference(superposition,[status(thm)],[c_162595,c_1479]) ).
tcf(c_166364,plain,
( v3_membered(k3_tarski(k1_zfmisc_1(k4_numbers)))
| v2_membered(sK238(k1_zfmisc_1(k4_numbers))) ),
inference(superposition,[status(thm)],[c_162595,c_1478]) ).
tcf(c_166365,plain,
( v3_membered(k3_tarski(k1_zfmisc_1(k4_numbers)))
| v1_membered(sK238(k1_zfmisc_1(k4_numbers))) ),
inference(superposition,[status(thm)],[c_162595,c_1477]) ).
tcf(c_166366,plain,
( v3_membered(sK238(k1_zfmisc_1(k3_numbers)))
| v3_membered(k3_tarski(k1_zfmisc_1(k3_numbers))) ),
inference(superposition,[status(thm)],[c_162595,c_1510]) ).
tcf(c_166367,plain,
( v3_membered(k3_tarski(k1_zfmisc_1(k3_numbers)))
| v2_membered(sK238(k1_zfmisc_1(k3_numbers))) ),
inference(superposition,[status(thm)],[c_162595,c_1509]) ).
tcf(c_166368,plain,
( v3_membered(k3_tarski(k1_zfmisc_1(k3_numbers)))
| v1_membered(sK238(k1_zfmisc_1(k3_numbers))) ),
inference(superposition,[status(thm)],[c_162595,c_1508]) ).
tcf(c_166369,plain,
( v3_membered(k3_tarski(k1_zfmisc_1(k1_numbers)))
| v2_membered(sK238(k1_zfmisc_1(k1_numbers))) ),
inference(superposition,[status(thm)],[c_162595,c_1556]) ).
tcf(c_166370,plain,
( v3_membered(k3_tarski(k1_zfmisc_1(k1_numbers)))
| v1_membered(sK238(k1_zfmisc_1(k1_numbers))) ),
inference(superposition,[status(thm)],[c_162595,c_1555]) ).
tcf(c_166373,plain,
( v3_membered(k3_tarski(k1_zfmisc_1(k2_numbers)))
| v1_membered(sK238(k1_zfmisc_1(k2_numbers))) ),
inference(superposition,[status(thm)],[c_162595,c_3643]) ).
tcf(c_166412,plain,
! [X0: $i,X1: $i,X2: $i] :
( m1_subset_1(k1_card_1(k2_zfmisc_1(X2,X2)),k1_card_1(k1_zfmisc_1(k1_funct_2(k2_tarski(X0,X1),X2))))
| ( X0 = X1 ) ),
inference(superposition,[status(thm)],[c_3665,c_161355]) ).
tcf(c_166413,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X2 )
| ( k1_funct_2(k2_tarski(X1,X2),X0) = np__0 )
| ( k1_card_1(k2_zfmisc_1(X0,X0)) != np__0 ) ),
inference(superposition,[status(thm)],[c_3665,c_2806]) ).
tcf(c_166414,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(k1_card_1(k2_zfmisc_1(X2,X2)),k1_card_1(k1_zfmisc_1(k1_funct_2(k2_tarski(X0,X1),X2))))
| ( X0 = X1 ) ),
inference(superposition,[status(thm)],[c_3665,c_2813]) ).
tcf(c_166415,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_finset_1(k1_card_1(k2_zfmisc_1(X2,X2)))
| ( X0 = X1 )
| ~ v1_finset_1(k1_funct_2(k2_tarski(X0,X1),X2)) ),
inference(superposition,[status(thm)],[c_3665,c_1661]) ).
tcf(c_166416,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_finset_1(k1_funct_2(k2_tarski(X1,X2),X0))
| ( X1 = X2 )
| ~ v1_finset_1(k1_card_1(k2_zfmisc_1(X0,X0))) ),
inference(superposition,[status(thm)],[c_3665,c_1660]) ).
tcf(c_166417,plain,
! [X0: $i,X1: $i,X2: $i] :
( m1_subset_1(k1_card_1(k1_funct_2(k2_tarski(X0,X1),X2)),k1_card_1(k1_zfmisc_1(k2_zfmisc_1(X2,X2))))
| ( X0 = X1 ) ),
inference(superposition,[status(thm)],[c_3665,c_161355]) ).
tcf(c_166418,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X1 )
| ( k2_zfmisc_1(X2,X2) = np__0 )
| ( k1_card_1(k1_funct_2(k2_tarski(X0,X1),X2)) != np__0 ) ),
inference(superposition,[status(thm)],[c_3665,c_2806]) ).
tcf(c_166419,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(k1_card_1(k1_funct_2(k2_tarski(X0,X1),X2)),k1_card_1(k1_zfmisc_1(k2_zfmisc_1(X2,X2))))
| ( X0 = X1 ) ),
inference(superposition,[status(thm)],[c_3665,c_2813]) ).
tcf(c_166420,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_finset_1(k1_card_1(k1_funct_2(k2_tarski(X1,X2),X0)))
| ( X1 = X2 )
| ~ v1_finset_1(k2_zfmisc_1(X0,X0)) ),
inference(superposition,[status(thm)],[c_3665,c_1661]) ).
tcf(c_166421,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_finset_1(k2_zfmisc_1(X2,X2))
| ( X0 = X1 )
| ~ v1_finset_1(k1_card_1(k1_funct_2(k2_tarski(X0,X1),X2))) ),
inference(superposition,[status(thm)],[c_3665,c_1660]) ).
tcf(c_166422,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( X3 = X4 )
| ( X0 = X1 )
| ( k1_card_1(k1_funct_2(k2_tarski(X0,X1),X2)) = k1_card_1(k1_funct_2(k2_tarski(X3,X4),X2)) ) ),
inference(superposition,[status(thm)],[c_3665,c_3665]) ).
tcf(c_166564,plain,
! [X0: $i,X1: $i,X2: $i] :
( m1_subset_1(k1_card_1(k1_zfmisc_1(X2)),k1_card_1(k1_zfmisc_1(k1_funct_2(X2,k2_tarski(X0,X1)))))
| ( X0 = X1 ) ),
inference(superposition,[status(thm)],[c_3667,c_161355]) ).
tcf(c_166565,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X2 )
| ( k1_funct_2(X0,k2_tarski(X1,X2)) = np__0 )
| ( k1_card_1(k1_zfmisc_1(X0)) != np__0 ) ),
inference(superposition,[status(thm)],[c_3667,c_2806]) ).
tcf(c_166566,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(k1_card_1(k1_zfmisc_1(X2)),k1_card_1(k1_zfmisc_1(k1_funct_2(X2,k2_tarski(X0,X1)))))
| ( X0 = X1 ) ),
inference(superposition,[status(thm)],[c_3667,c_2813]) ).
tcf(c_166567,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_finset_1(k1_card_1(k1_zfmisc_1(X0)))
| ( X1 = X2 )
| ~ v1_finset_1(k1_funct_2(X0,k2_tarski(X1,X2))) ),
inference(superposition,[status(thm)],[c_3667,c_1661]) ).
tcf(c_166568,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_finset_1(k1_funct_2(X0,k2_tarski(X1,X2)))
| ( X1 = X2 )
| ~ v1_finset_1(k1_card_1(k1_zfmisc_1(X0))) ),
inference(superposition,[status(thm)],[c_3667,c_1660]) ).
tcf(c_166569,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X2 = X3 )
| ( X0 = X1 )
| ( k1_card_1(k2_zfmisc_1(k2_tarski(X0,X1),k2_tarski(X0,X1))) = k1_card_1(k1_zfmisc_1(k2_tarski(X2,X3))) ) ),
inference(superposition,[status(thm)],[c_3667,c_3665]) ).
tcf(c_166590,plain,
! [X0: $i] :
( v4_finsub_1(k1_tops_1(X0,k1_pre_topc(X0)))
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_310,c_161211]) ).
tcf(c_166591,plain,
! [X0: $i] :
( v3_ordinal1(k1_tops_1(X0,k1_pre_topc(X0)))
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_310,c_161210]) ).
tcf(c_166592,plain,
! [X0: $i] :
( ( k1_tops_1(X0,k1_pre_topc(X0)) = np__0 )
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_310,c_600]) ).
tcf(c_166593,plain,
! [X0: $i] :
( v2_funct_1(k1_tops_1(X0,k1_pre_topc(X0)))
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_310,c_6810]) ).
tcf(c_166594,plain,
! [X0: $i] :
( v1_realset1(k1_tops_1(X0,k1_pre_topc(X0)))
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_310,c_2002]) ).
tcf(c_166595,plain,
! [X0: $i] :
( v1_finset_1(k1_tops_1(X0,k1_pre_topc(X0)))
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_310,c_1700]) ).
tcf(c_166601,plain,
! [X0: $i] :
( v1_relat_1(k1_tops_1(X0,k1_pre_topc(X0)))
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_310,c_582]) ).
tcf(c_166602,plain,
! [X0: $i] :
( v1_funct_1(k1_tops_1(X0,k1_pre_topc(X0)))
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_310,c_577]) ).
tcf(c_166711,plain,
! [X0: $i,X1: $i,X2: $i] : m1_subset_1(k1_card_1(k1_funct_2(X0,k2_zfmisc_1(X1,X2))),k1_card_1(k1_zfmisc_1(k2_zfmisc_1(k1_funct_2(X0,X1),k1_funct_2(X0,X2))))),
inference(superposition,[status(thm)],[c_3669,c_161355]) ).
tcf(c_166712,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k2_zfmisc_1(k1_funct_2(X0,X1),k1_funct_2(X0,X2)) = np__0 )
| ( k1_card_1(k1_funct_2(X0,k2_zfmisc_1(X1,X2))) != np__0 ) ),
inference(superposition,[status(thm)],[c_3669,c_2806]) ).
tcf(c_166713,plain,
! [X0: $i,X1: $i,X2: $i] : r2_hidden(k1_card_1(k1_funct_2(X0,k2_zfmisc_1(X1,X2))),k1_card_1(k1_zfmisc_1(k2_zfmisc_1(k1_funct_2(X0,X1),k1_funct_2(X0,X2))))),
inference(superposition,[status(thm)],[c_3669,c_2813]) ).
tcf(c_166714,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_finset_1(k1_card_1(k1_funct_2(X0,k2_zfmisc_1(X1,X2))))
| ~ v1_finset_1(k2_zfmisc_1(k1_funct_2(X0,X1),k1_funct_2(X0,X2))) ),
inference(superposition,[status(thm)],[c_3669,c_1661]) ).
tcf(c_166715,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_finset_1(k2_zfmisc_1(k1_funct_2(X0,X1),k1_funct_2(X0,X2)))
| ~ v1_finset_1(k1_card_1(k1_funct_2(X0,k2_zfmisc_1(X1,X2)))) ),
inference(superposition,[status(thm)],[c_3669,c_1660]) ).
tcf(c_166716,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X0 = X1 )
| ( k1_card_1(k1_funct_2(k2_tarski(X0,X1),k1_funct_2(X2,X3))) = k1_card_1(k1_funct_2(X2,k2_zfmisc_1(X3,X3))) ) ),
inference(superposition,[status(thm)],[c_3669,c_3665]) ).
tcf(c_166749,plain,
k1_pre_topc(sK45) = np__0,
inference(superposition,[status(thm)],[c_67,c_327]) ).
tcf(c_166750,plain,
k1_pre_topc(sK49) = np__0,
inference(superposition,[status(thm)],[c_153,c_327]) ).
tcf(c_166751,plain,
k1_pre_topc(sK51) = np__0,
inference(superposition,[status(thm)],[c_159,c_327]) ).
tcf(c_166752,plain,
k1_pre_topc(sK298) = np__0,
inference(superposition,[status(thm)],[c_159582,c_327]) ).
tcf(c_166753,plain,
k1_pre_topc(sK299) = np__0,
inference(superposition,[status(thm)],[c_159588,c_327]) ).
tcf(c_166754,plain,
k1_pre_topc(sK174) = np__0,
inference(superposition,[status(thm)],[c_159260,c_327]) ).
tcf(c_166755,plain,
k1_pre_topc(sK458) = np__0,
inference(superposition,[status(thm)],[c_159261,c_327]) ).
tcf(c_166756,plain,
k1_pre_topc(sK462) = np__0,
inference(superposition,[status(thm)],[c_159262,c_327]) ).
tcf(c_166757,plain,
k1_pre_topc(sK463) = np__0,
inference(superposition,[status(thm)],[c_159263,c_327]) ).
tcf(c_166758,plain,
k1_pre_topc(sK41) = np__0,
inference(superposition,[status(thm)],[c_159268,c_327]) ).
tcf(c_166759,plain,
k1_pre_topc(sK277) = np__0,
inference(superposition,[status(thm)],[c_159269,c_327]) ).
tcf(c_166760,plain,
k1_pre_topc(sK278) = np__0,
inference(superposition,[status(thm)],[c_159270,c_327]) ).
tcf(c_166761,plain,
k1_pre_topc(sK39) = np__0,
inference(superposition,[status(thm)],[c_159583,c_327]) ).
tcf(c_166762,plain,
k1_pre_topc(sK181) = np__0,
inference(superposition,[status(thm)],[c_159589,c_327]) ).
tcf(c_166763,plain,
k1_pre_topc(sK182) = np__0,
inference(superposition,[status(thm)],[c_159590,c_327]) ).
tcf(c_166764,plain,
k1_pre_topc(sK183) = np__0,
inference(superposition,[status(thm)],[c_159591,c_327]) ).
tcf(c_166765,plain,
k1_pre_topc(sK191) = np__0,
inference(superposition,[status(thm)],[c_159592,c_327]) ).
tcf(c_166766,plain,
k1_pre_topc(sK40) = np__0,
inference(superposition,[status(thm)],[c_159594,c_327]) ).
tcf(c_166767,plain,
k1_pre_topc(sK192) = np__0,
inference(superposition,[status(thm)],[c_159615,c_327]) ).
tcf(c_166768,plain,
k1_pre_topc(sK193) = np__0,
inference(superposition,[status(thm)],[c_159616,c_327]) ).
tcf(c_166769,plain,
k1_pre_topc(sK194) = np__0,
inference(superposition,[status(thm)],[c_159617,c_327]) ).
tcf(c_166770,plain,
! [X0: $i] :
( ( k1_pre_topc(k1_lattice2(X0)) = np__0 )
| ~ l3_lattices(X0) ),
inference(superposition,[status(thm)],[c_162362,c_327]) ).
tcf(c_166798,plain,
( v5_membered(k1_tops_1(sK45,np__0))
| ~ l1_pre_topc(sK45) ),
inference(superposition,[status(thm)],[c_166749,c_315]) ).
tcf(c_166799,plain,
( v4_membered(k1_tops_1(sK45,np__0))
| ~ l1_pre_topc(sK45) ),
inference(superposition,[status(thm)],[c_166749,c_314]) ).
tcf(c_166800,plain,
( v3_membered(k1_tops_1(sK45,np__0))
| ~ l1_pre_topc(sK45) ),
inference(superposition,[status(thm)],[c_166749,c_313]) ).
tcf(c_166801,plain,
( v2_membered(k1_tops_1(sK45,np__0))
| ~ l1_pre_topc(sK45) ),
inference(superposition,[status(thm)],[c_166749,c_312]) ).
tcf(c_166802,plain,
( v1_membered(k1_tops_1(sK45,np__0))
| ~ l1_pre_topc(sK45) ),
inference(superposition,[status(thm)],[c_166749,c_311]) ).
tcf(c_166803,plain,
( v1_xboole_0(k1_tops_1(sK45,np__0))
| ~ l1_pre_topc(sK45) ),
inference(superposition,[status(thm)],[c_166749,c_310]) ).
tcf(c_166842,plain,
( v5_membered(k1_tops_1(sK49,np__0))
| ~ l1_pre_topc(sK49) ),
inference(superposition,[status(thm)],[c_166750,c_315]) ).
tcf(c_166843,plain,
( v4_membered(k1_tops_1(sK49,np__0))
| ~ l1_pre_topc(sK49) ),
inference(superposition,[status(thm)],[c_166750,c_314]) ).
tcf(c_166844,plain,
( v3_membered(k1_tops_1(sK49,np__0))
| ~ l1_pre_topc(sK49) ),
inference(superposition,[status(thm)],[c_166750,c_313]) ).
tcf(c_166845,plain,
( v2_membered(k1_tops_1(sK49,np__0))
| ~ l1_pre_topc(sK49) ),
inference(superposition,[status(thm)],[c_166750,c_312]) ).
tcf(c_166846,plain,
( v1_membered(k1_tops_1(sK49,np__0))
| ~ l1_pre_topc(sK49) ),
inference(superposition,[status(thm)],[c_166750,c_311]) ).
tcf(c_166847,plain,
( v1_xboole_0(k1_tops_1(sK49,np__0))
| ~ l1_pre_topc(sK49) ),
inference(superposition,[status(thm)],[c_166750,c_310]) ).
tcf(c_166886,plain,
( v5_membered(k1_tops_1(sK51,np__0))
| ~ l1_pre_topc(sK51) ),
inference(superposition,[status(thm)],[c_166751,c_315]) ).
tcf(c_166887,plain,
( v4_membered(k1_tops_1(sK51,np__0))
| ~ l1_pre_topc(sK51) ),
inference(superposition,[status(thm)],[c_166751,c_314]) ).
tcf(c_166888,plain,
( v3_membered(k1_tops_1(sK51,np__0))
| ~ l1_pre_topc(sK51) ),
inference(superposition,[status(thm)],[c_166751,c_313]) ).
tcf(c_166889,plain,
( v2_membered(k1_tops_1(sK51,np__0))
| ~ l1_pre_topc(sK51) ),
inference(superposition,[status(thm)],[c_166751,c_312]) ).
tcf(c_166890,plain,
( v1_membered(k1_tops_1(sK51,np__0))
| ~ l1_pre_topc(sK51) ),
inference(superposition,[status(thm)],[c_166751,c_311]) ).
tcf(c_166891,plain,
( v1_xboole_0(k1_tops_1(sK51,np__0))
| ~ l1_pre_topc(sK51) ),
inference(superposition,[status(thm)],[c_166751,c_310]) ).
tcf(c_166930,plain,
( v5_membered(k1_tops_1(sK39,np__0))
| ~ l1_pre_topc(sK39) ),
inference(superposition,[status(thm)],[c_166761,c_315]) ).
tcf(c_166931,plain,
( v4_membered(k1_tops_1(sK39,np__0))
| ~ l1_pre_topc(sK39) ),
inference(superposition,[status(thm)],[c_166761,c_314]) ).
tcf(c_166932,plain,
( v3_membered(k1_tops_1(sK39,np__0))
| ~ l1_pre_topc(sK39) ),
inference(superposition,[status(thm)],[c_166761,c_313]) ).
tcf(c_166933,plain,
( v2_membered(k1_tops_1(sK39,np__0))
| ~ l1_pre_topc(sK39) ),
inference(superposition,[status(thm)],[c_166761,c_312]) ).
tcf(c_166934,plain,
( v1_membered(k1_tops_1(sK39,np__0))
| ~ l1_pre_topc(sK39) ),
inference(superposition,[status(thm)],[c_166761,c_311]) ).
tcf(c_166935,plain,
( v1_xboole_0(k1_tops_1(sK39,np__0))
| ~ l1_pre_topc(sK39) ),
inference(superposition,[status(thm)],[c_166761,c_310]) ).
tcf(c_167008,plain,
( v4_finsub_1(k1_tops_1(sK39,np__0))
| ~ l1_pre_topc(sK39) ),
inference(superposition,[status(thm)],[c_166935,c_161211]) ).
tcf(c_167009,plain,
( v3_ordinal1(k1_tops_1(sK39,np__0))
| ~ l1_pre_topc(sK39) ),
inference(superposition,[status(thm)],[c_166935,c_161210]) ).
tcf(c_167010,plain,
( ( k1_tops_1(sK39,np__0) = np__0 )
| ~ l1_pre_topc(sK39) ),
inference(superposition,[status(thm)],[c_166935,c_600]) ).
tcf(c_167011,plain,
( v2_funct_1(k1_tops_1(sK39,np__0))
| ~ l1_pre_topc(sK39) ),
inference(superposition,[status(thm)],[c_166935,c_6810]) ).
tcf(c_167012,plain,
( v1_realset1(k1_tops_1(sK39,np__0))
| ~ l1_pre_topc(sK39) ),
inference(superposition,[status(thm)],[c_166935,c_2002]) ).
tcf(c_167013,plain,
( v1_finset_1(k1_tops_1(sK39,np__0))
| ~ l1_pre_topc(sK39) ),
inference(superposition,[status(thm)],[c_166935,c_1700]) ).
tcf(c_167019,plain,
( v1_relat_1(k1_tops_1(sK39,np__0))
| ~ l1_pre_topc(sK39) ),
inference(superposition,[status(thm)],[c_166935,c_582]) ).
tcf(c_167020,plain,
( v1_funct_1(k1_tops_1(sK39,np__0))
| ~ l1_pre_topc(sK39) ),
inference(superposition,[status(thm)],[c_166935,c_577]) ).
tcf(c_167042,plain,
! [X0: $i,X1: $i] : k1_card_1(k1_funct_2(np__0,k1_funct_2(X0,X1))) = k1_card_1(k1_funct_2(np__0,X1)),
inference(superposition,[status(thm)],[c_619,c_3671]) ).
tcf(c_167043,plain,
! [X0: $i,X1: $i] : k1_card_1(k1_funct_2(X0,k1_funct_2(np__0,X1))) = k1_card_1(k1_funct_2(np__0,X1)),
inference(superposition,[status(thm)],[c_620,c_3671]) ).
tcf(c_167044,plain,
! [X0: $i,X1: $i,X2: $i] : m1_subset_1(k1_card_1(k1_funct_2(X0,k1_funct_2(X1,X2))),k1_card_1(k1_zfmisc_1(k1_funct_2(k2_zfmisc_1(X0,X1),X2)))),
inference(superposition,[status(thm)],[c_3671,c_161355]) ).
tcf(c_167045,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k1_funct_2(k2_zfmisc_1(X0,X1),X2) = np__0 )
| ( k1_card_1(k1_funct_2(X0,k1_funct_2(X1,X2))) != np__0 ) ),
inference(superposition,[status(thm)],[c_3671,c_2806]) ).
tcf(c_167046,plain,
! [X0: $i,X1: $i,X2: $i] : r2_hidden(k1_card_1(k1_funct_2(X0,k1_funct_2(X1,X2))),k1_card_1(k1_zfmisc_1(k1_funct_2(k2_zfmisc_1(X0,X1),X2)))),
inference(superposition,[status(thm)],[c_3671,c_2813]) ).
tcf(c_167047,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_finset_1(k1_card_1(k1_funct_2(X0,k1_funct_2(X1,X2))))
| ~ v1_finset_1(k1_funct_2(k2_zfmisc_1(X0,X1),X2)) ),
inference(superposition,[status(thm)],[c_3671,c_1661]) ).
tcf(c_167048,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_finset_1(k1_funct_2(k2_zfmisc_1(X0,X1),X2))
| ~ v1_finset_1(k1_card_1(k1_funct_2(X0,k1_funct_2(X1,X2)))) ),
inference(superposition,[status(thm)],[c_3671,c_1660]) ).
tcf(c_167049,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X2 = X3 )
| ( k1_card_1(k1_funct_2(X0,k1_funct_2(X1,k2_tarski(X2,X3)))) = k1_card_1(k1_zfmisc_1(k2_zfmisc_1(X0,X1))) ) ),
inference(superposition,[status(thm)],[c_3671,c_3667]) ).
tcf(c_167068,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(k4_xboole_0(X1,X0))
| ~ v1_xboole_0(k5_xboole_0(X0,X1)) ),
inference(superposition,[status(thm)],[c_2624,c_510]) ).
tcf(c_167069,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v1_xboole_0(k2_zfmisc_1(X0,k4_xboole_0(X1,X3)))
| ~ v1_xboole_0(k4_xboole_0(k2_zfmisc_1(X0,X1),k2_zfmisc_1(X2,X3))) ),
inference(superposition,[status(thm)],[c_471,c_510]) ).
tcf(c_167070,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_xboole_0(k2_zfmisc_1(X0,X2))
| ~ v1_xboole_0(k2_zfmisc_1(X0,k3_tarski(k2_tarski(X1,X2)))) ),
inference(superposition,[status(thm)],[c_474,c_510]) ).
tcf(c_167071,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_xboole_0(k2_zfmisc_1(X1,X2))
| ~ v1_xboole_0(k2_zfmisc_1(k3_tarski(k2_tarski(X0,X1)),X2)) ),
inference(superposition,[status(thm)],[c_473,c_510]) ).
tcf(c_167072,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_xboole_0(X2)
| ~ v1_xboole_0(k3_tarski(k2_tarski(X0,k3_tarski(k2_tarski(X1,X2))))) ),
inference(superposition,[status(thm)],[c_500,c_510]) ).
tcf(c_167073,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(k4_xboole_0(X1,X0))
| ~ v1_xboole_0(k3_tarski(k2_tarski(X0,X1))) ),
inference(superposition,[status(thm)],[c_486,c_510]) ).
tcf(c_167074,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_xboole_0(k4_xboole_0(X1,X2))
| ~ v1_xboole_0(k4_xboole_0(k3_tarski(k2_tarski(X0,X1)),X2)) ),
inference(superposition,[status(thm)],[c_483,c_510]) ).
tcf(c_167078,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(k3_tarski(X1))
| ~ v1_xboole_0(k3_tarski(k3_tarski(k2_tarski(X0,X1)))) ),
inference(superposition,[status(thm)],[c_2509,c_510]) ).
tcf(c_167111,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(k4_xboole_0(X0,X1))
| ~ v1_xboole_0(k5_xboole_0(X0,X1)) ),
inference(superposition,[status(thm)],[c_2624,c_511]) ).
tcf(c_167112,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v1_xboole_0(k2_zfmisc_1(k4_xboole_0(X0,X2),X1))
| ~ v1_xboole_0(k4_xboole_0(k2_zfmisc_1(X0,X1),k2_zfmisc_1(X2,X3))) ),
inference(superposition,[status(thm)],[c_471,c_511]) ).
tcf(c_167113,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_xboole_0(k2_zfmisc_1(X0,X1))
| ~ v1_xboole_0(k2_zfmisc_1(X0,k3_tarski(k2_tarski(X1,X2)))) ),
inference(superposition,[status(thm)],[c_474,c_511]) ).
tcf(c_167114,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_xboole_0(k2_zfmisc_1(X0,X2))
| ~ v1_xboole_0(k2_zfmisc_1(k3_tarski(k2_tarski(X0,X1)),X2)) ),
inference(superposition,[status(thm)],[c_473,c_511]) ).
tcf(c_167115,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_xboole_0(k3_tarski(k2_tarski(X0,X1)))
| ~ v1_xboole_0(k3_tarski(k2_tarski(X0,k3_tarski(k2_tarski(X1,X2))))) ),
inference(superposition,[status(thm)],[c_500,c_511]) ).
tcf(c_167117,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_xboole_0(k4_xboole_0(X0,X2))
| ~ v1_xboole_0(k4_xboole_0(k3_tarski(k2_tarski(X0,X1)),X2)) ),
inference(superposition,[status(thm)],[c_483,c_511]) ).
tcf(c_167121,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(k3_tarski(X0))
| ~ v1_xboole_0(k3_tarski(k3_tarski(k2_tarski(X0,X1)))) ),
inference(superposition,[status(thm)],[c_2509,c_511]) ).
tcf(c_167147,plain,
! [X0: $i,X1: $i] : ~ r2_hidden(k3_tarski(k2_tarski(X0,X1)),X0),
inference(superposition,[status(thm)],[c_497,c_538]) ).
tcf(c_167149,plain,
! [X0: $i] : ~ r2_hidden(X0,X0),
inference(superposition,[status(thm)],[c_570,c_538]) ).
tcf(c_167150,plain,
! [X0: $i] : ~ r2_hidden(X0,k2_relat_1(sK115(X0,np__0))),
inference(superposition,[status(thm)],[c_723,c_538]) ).
tcf(c_167151,plain,
! [X0: $i] :
( ~ v5_membered(X0)
| ~ r2_hidden(k5_numbers,X0) ),
inference(superposition,[status(thm)],[c_1340,c_538]) ).
tcf(c_167152,plain,
! [X0: $i] :
( ~ v4_membered(X0)
| ~ r2_hidden(k4_numbers,X0) ),
inference(superposition,[status(thm)],[c_1432,c_538]) ).
tcf(c_167153,plain,
! [X0: $i] :
( ~ v3_membered(X0)
| ~ r2_hidden(k3_numbers,X0) ),
inference(superposition,[status(thm)],[c_1485,c_538]) ).
tcf(c_167154,plain,
! [X0: $i] :
( ~ v2_membered(X0)
| ~ r2_hidden(k1_numbers,X0) ),
inference(superposition,[status(thm)],[c_1532,c_538]) ).
tcf(c_167155,plain,
! [X0: $i] : ~ r2_hidden(k1_zfmisc_1(X0),k5_finsub_1(X0)),
inference(superposition,[status(thm)],[c_1653,c_538]) ).
tcf(c_167156,plain,
! [X0: $i,X1: $i] : ~ r2_hidden(X0,k4_xboole_0(X0,X1)),
inference(superposition,[status(thm)],[c_1734,c_538]) ).
tcf(c_167157,plain,
! [X0: $i] : ~ r2_hidden(k2_zfmisc_1(X0,X0),k6_partfun1(X0)),
inference(superposition,[status(thm)],[c_2163,c_538]) ).
tcf(c_167158,plain,
! [X0: $i] : ~ r2_hidden(k1_zfmisc_1(k3_tarski(X0)),X0),
inference(superposition,[status(thm)],[c_2506,c_538]) ).
tcf(c_167159,plain,
! [X0: $i] : ~ r2_hidden(k3_tarski(X0),k1_setfam_1(X0)),
inference(superposition,[status(thm)],[c_2542,c_538]) ).
tcf(c_167160,plain,
~ r2_hidden(k1_numbers,k5_numbers),
inference(superposition,[status(thm)],[c_2576,c_538]) ).
tcf(c_167161,plain,
! [X0: $i,X1: $i] : ~ r2_hidden(k5_xboole_0(X0,X1),k4_xboole_0(X0,X1)),
inference(superposition,[status(thm)],[c_2608,c_538]) ).
tcf(c_167162,plain,
~ r2_hidden(k4_numbers,k5_numbers),
inference(superposition,[status(thm)],[c_2729,c_538]) ).
tcf(c_167163,plain,
~ r2_hidden(k2_numbers,k4_numbers),
inference(superposition,[status(thm)],[c_2730,c_538]) ).
tcf(c_167164,plain,
~ r2_hidden(k1_numbers,k4_numbers),
inference(superposition,[status(thm)],[c_2731,c_538]) ).
tcf(c_167165,plain,
~ r2_hidden(k3_numbers,k4_numbers),
inference(superposition,[status(thm)],[c_2732,c_538]) ).
tcf(c_167166,plain,
~ r2_hidden(k3_numbers,k5_numbers),
inference(superposition,[status(thm)],[c_2737,c_538]) ).
tcf(c_167167,plain,
~ r2_hidden(k2_numbers,k3_numbers),
inference(superposition,[status(thm)],[c_2738,c_538]) ).
tcf(c_167168,plain,
~ r2_hidden(k1_numbers,k3_numbers),
inference(superposition,[status(thm)],[c_2739,c_538]) ).
tcf(c_167169,plain,
! [X0: $i] :
( ~ v1_membered(X0)
| ~ r2_hidden(k2_numbers,X0) ),
inference(superposition,[status(thm)],[c_3640,c_538]) ).
tcf(c_167170,plain,
~ r2_hidden(k2_numbers,k5_numbers),
inference(superposition,[status(thm)],[c_3646,c_538]) ).
tcf(c_167171,plain,
~ r2_hidden(k2_numbers,k1_numbers),
inference(superposition,[status(thm)],[c_3647,c_538]) ).
tcf(c_167172,plain,
! [X0: $i,X1: $i] : ~ r2_hidden(k2_tarski(X0,X1),k2_tarski(X0,X0)),
inference(superposition,[status(thm)],[c_47411,c_538]) ).
tcf(c_167173,plain,
! [X0: $i,X1: $i] : ~ r2_hidden(k2_tarski(X0,X1),k2_tarski(X1,X1)),
inference(superposition,[status(thm)],[c_47412,c_538]) ).
tcf(c_167174,plain,
! [X0: $i] : ~ r2_hidden(k1_zfmisc_1(X0),k2_tarski(X0,X0)),
inference(superposition,[status(thm)],[c_47413,c_538]) ).
tcf(c_167175,plain,
! [X0: $i,X1: $i,X2: $i] : ~ r2_hidden(X0,k4_xboole_0(k4_xboole_0(X0,X1),X2)),
inference(superposition,[status(thm)],[c_159540,c_538]) ).
tcf(c_167176,plain,
! [X0: $i] : ~ r2_hidden(k1_zfmisc_1(X0),k2_tarski(X0,np__0)),
inference(superposition,[status(thm)],[c_159660,c_538]) ).
tcf(c_167177,plain,
! [X0: $i] : ~ r2_hidden(X0,k1_setfam_1(k1_zfmisc_1(X0))),
inference(superposition,[status(thm)],[c_160376,c_538]) ).
tcf(c_167178,plain,
! [X0: $i,X1: $i] : ~ r2_hidden(X0,k1_setfam_1(k2_tarski(X0,X1))),
inference(superposition,[status(thm)],[c_160602,c_538]) ).
tcf(c_167179,plain,
! [X0: $i,X1: $i] : ~ r2_hidden(k3_tarski(k2_tarski(X0,X1)),X1),
inference(superposition,[status(thm)],[c_162055,c_538]) ).
tcf(c_167180,plain,
! [X0: $i] : ~ r2_hidden(k1_zfmisc_1(X0),k2_tarski(np__0,X0)),
inference(superposition,[status(thm)],[c_162071,c_538]) ).
tcf(c_167181,plain,
! [X0: $i,X1: $i] : ~ r2_hidden(X0,k1_setfam_1(k2_tarski(X1,X0))),
inference(superposition,[status(thm)],[c_162385,c_538]) ).
tcf(c_167182,plain,
! [X0: $i] : ~ r2_hidden(k2_tarski(X0,np__0),k1_zfmisc_1(np__0)),
inference(superposition,[status(thm)],[c_165498,c_538]) ).
tcf(c_167183,plain,
! [X0: $i] : ~ r2_hidden(k2_tarski(np__0,X0),k1_zfmisc_1(np__0)),
inference(superposition,[status(thm)],[c_165499,c_538]) ).
tcf(c_167217,plain,
! [X0: $i] :
( v5_membered(X0)
| ~ r1_tarski(X0,k5_numbers) ),
inference(superposition,[status(thm)],[c_540,c_1404]) ).
tcf(c_167218,plain,
! [X0: $i] :
( v4_membered(X0)
| ~ r1_tarski(X0,k5_numbers) ),
inference(superposition,[status(thm)],[c_540,c_1403]) ).
tcf(c_167219,plain,
! [X0: $i] :
( v3_membered(X0)
| ~ r1_tarski(X0,k5_numbers) ),
inference(superposition,[status(thm)],[c_540,c_1402]) ).
tcf(c_167220,plain,
! [X0: $i] :
( v2_membered(X0)
| ~ r1_tarski(X0,k5_numbers) ),
inference(superposition,[status(thm)],[c_540,c_1401]) ).
tcf(c_167221,plain,
! [X0: $i] :
( v1_membered(X0)
| ~ r1_tarski(X0,k5_numbers) ),
inference(superposition,[status(thm)],[c_540,c_1400]) ).
tcf(c_167222,plain,
! [X0: $i] :
( v4_membered(X0)
| ~ r1_tarski(X0,k4_numbers) ),
inference(superposition,[status(thm)],[c_540,c_1480]) ).
tcf(c_167223,plain,
! [X0: $i] :
( v3_membered(X0)
| ~ r1_tarski(X0,k4_numbers) ),
inference(superposition,[status(thm)],[c_540,c_1479]) ).
tcf(c_167224,plain,
! [X0: $i] :
( v2_membered(X0)
| ~ r1_tarski(X0,k4_numbers) ),
inference(superposition,[status(thm)],[c_540,c_1478]) ).
tcf(c_167225,plain,
! [X0: $i] :
( v1_membered(X0)
| ~ r1_tarski(X0,k4_numbers) ),
inference(superposition,[status(thm)],[c_540,c_1477]) ).
tcf(c_167226,plain,
! [X0: $i] :
( v3_membered(X0)
| ~ r1_tarski(X0,k3_numbers) ),
inference(superposition,[status(thm)],[c_540,c_1510]) ).
tcf(c_167227,plain,
! [X0: $i] :
( v2_membered(X0)
| ~ r1_tarski(X0,k3_numbers) ),
inference(superposition,[status(thm)],[c_540,c_1509]) ).
tcf(c_167228,plain,
! [X0: $i] :
( v1_membered(X0)
| ~ r1_tarski(X0,k3_numbers) ),
inference(superposition,[status(thm)],[c_540,c_1508]) ).
tcf(c_167229,plain,
! [X0: $i] :
( v2_membered(X0)
| ~ r1_tarski(X0,k1_numbers) ),
inference(superposition,[status(thm)],[c_540,c_1556]) ).
tcf(c_167230,plain,
! [X0: $i] :
( v1_membered(X0)
| ~ r1_tarski(X0,k1_numbers) ),
inference(superposition,[status(thm)],[c_540,c_1555]) ).
tcf(c_167231,plain,
! [X0: $i] :
( v1_membered(X0)
| ~ r1_tarski(X0,k2_numbers) ),
inference(superposition,[status(thm)],[c_540,c_3643]) ).
tcf(c_167262,plain,
~ v1_int_1(k4_numbers),
inference(superposition,[status(thm)],[c_2723,c_167149]) ).
tcf(c_167263,plain,
~ v1_xreal_0(k1_numbers),
inference(superposition,[status(thm)],[c_2744,c_167149]) ).
tcf(c_167296,plain,
k3_tarski(k2_tarski(np__0,np__0)) = np__0,
inference(superposition,[status(thm)],[c_160608,c_48096]) ).
tcf(c_167297,plain,
! [X0: $i,X1: $i] : k3_tarski(k2_tarski(X0,k1_setfam_1(k2_tarski(X1,X0)))) = X0,
inference(superposition,[status(thm)],[c_2707,c_48096]) ).
tcf(c_167299,plain,
k3_tarski(k2_tarski(np__0,k1_setfam_1(k1_zfmisc_1(np__0)))) = np__0,
inference(superposition,[status(thm)],[c_47417,c_48096]) ).
tcf(c_167301,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(k1_setfam_1(k2_tarski(X0,X1)))
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_48096,c_510]) ).
tcf(c_167303,plain,
! [X0: $i,X1: $i,X2: $i] : k3_tarski(k2_tarski(X0,k3_tarski(k2_tarski(k1_setfam_1(k2_tarski(X0,X1)),X2)))) = k3_tarski(k2_tarski(X0,X2)),
inference(superposition,[status(thm)],[c_48096,c_500]) ).
tcf(c_167306,plain,
! [X0: $i,X1: $i,X2: $i] : k4_xboole_0(k4_xboole_0(X0,X1),k1_setfam_1(k2_tarski(X1,X2))) = k4_xboole_0(X0,X1),
inference(superposition,[status(thm)],[c_48096,c_484]) ).
tcf(c_167307,plain,
! [X0: $i,X1: $i,X2: $i] : k3_tarski(k2_tarski(X0,k3_tarski(k2_tarski(X1,k1_setfam_1(k2_tarski(k3_tarski(k2_tarski(X0,X1)),X2)))))) = k3_tarski(k2_tarski(X0,X1)),
inference(superposition,[status(thm)],[c_48096,c_500]) ).
tcf(c_167309,plain,
! [X0: $i,X1: $i] :
( v3_ordinal1(X0)
| ~ v1_xboole_0(k2_tarski(X0,k1_setfam_1(k2_tarski(X0,X1)))) ),
inference(superposition,[status(thm)],[c_48096,c_164233]) ).
tcf(c_167310,plain,
! [X0: $i,X1: $i] :
( v1_membered(X0)
| ~ v1_xboole_0(k2_tarski(X0,k1_setfam_1(k2_tarski(X0,X1)))) ),
inference(superposition,[status(thm)],[c_48096,c_163434]) ).
tcf(c_167311,plain,
! [X0: $i,X1: $i] :
( v2_membered(X0)
| ~ v1_xboole_0(k2_tarski(X0,k1_setfam_1(k2_tarski(X0,X1)))) ),
inference(superposition,[status(thm)],[c_48096,c_163150]) ).
tcf(c_167312,plain,
! [X0: $i,X1: $i] :
( v3_membered(X0)
| ~ v1_xboole_0(k2_tarski(X0,k1_setfam_1(k2_tarski(X0,X1)))) ),
inference(superposition,[status(thm)],[c_48096,c_162596]) ).
tcf(c_167313,plain,
! [X0: $i,X1: $i] :
( v4_membered(X0)
| ~ v1_xboole_0(k2_tarski(X0,k1_setfam_1(k2_tarski(X0,X1)))) ),
inference(superposition,[status(thm)],[c_48096,c_162258]) ).
tcf(c_167314,plain,
! [X0: $i,X1: $i] :
( v5_membered(X0)
| ~ v1_xboole_0(k2_tarski(X0,k1_setfam_1(k2_tarski(X0,X1)))) ),
inference(superposition,[status(thm)],[c_48096,c_161606]) ).
tcf(c_167315,plain,
! [X0: $i,X1: $i,X2: $i] : k3_tarski(k3_tarski(k2_tarski(k2_tarski(X0,k1_setfam_1(k2_tarski(X0,X1))),X2))) = k3_tarski(k2_tarski(X0,k3_tarski(X2))),
inference(superposition,[status(thm)],[c_48096,c_2509]) ).
tcf(c_167316,plain,
! [X0: $i,X1: $i] :
( v3_ordinal1(X0)
| ~ v3_ordinal1(k2_tarski(X0,k1_setfam_1(k2_tarski(X0,X1)))) ),
inference(superposition,[status(thm)],[c_48096,c_2504]) ).
tcf(c_167317,plain,
! [X0: $i,X1: $i] :
( v1_finset_1(k2_tarski(X0,k1_setfam_1(k2_tarski(X0,X1))))
| ~ v1_finset_1(X0) ),
inference(superposition,[status(thm)],[c_48096,c_2497]) ).
tcf(c_167318,plain,
! [X0: $i,X1: $i] : r1_tarski(k1_setfam_1(k2_tarski(X0,k1_setfam_1(k2_tarski(X0,X1)))),X0),
inference(superposition,[status(thm)],[c_48096,c_2542]) ).
tcf(c_167319,plain,
! [X0: $i,X1: $i] : r1_tarski(k2_tarski(X0,k1_setfam_1(k2_tarski(X0,X1))),k1_zfmisc_1(X0)),
inference(superposition,[status(thm)],[c_48096,c_2506]) ).
tcf(c_167320,plain,
! [X0: $i,X1: $i,X2: $i] : k3_tarski(k3_tarski(k2_tarski(X0,k2_tarski(X1,k1_setfam_1(k2_tarski(X1,X2)))))) = k3_tarski(k2_tarski(k3_tarski(X0),X1)),
inference(superposition,[status(thm)],[c_48096,c_2509]) ).
tcf(c_167340,plain,
! [X0: $i] : r1_tarski(sK52(k1_zfmisc_1(X0)),X0),
inference(superposition,[status(thm)],[c_161,c_541]) ).
tcf(c_167342,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| r1_tarski(sK87(X0),X0) ),
inference(superposition,[status(thm)],[c_593,c_541]) ).
tcf(c_167344,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| r1_tarski(sK264(X0),X0) ),
inference(superposition,[status(thm)],[c_1687,c_541]) ).
tcf(c_167345,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| r1_tarski(sK265(X0),X0) ),
inference(superposition,[status(thm)],[c_1695,c_541]) ).
tcf(c_167347,plain,
! [X0: $i] :
( v1_relat_1(k1_zfmisc_1(X0))
| r1_tarski(sK146(k1_zfmisc_1(X0)),X0) ),
inference(superposition,[status(thm)],[c_161344,c_541]) ).
tcf(c_167348,plain,
! [X0: $i] :
( v5_membered(k1_zfmisc_1(X0))
| r1_tarski(sK229(k1_zfmisc_1(X0)),X0) ),
inference(superposition,[status(thm)],[c_161345,c_541]) ).
tcf(c_167349,plain,
! [X0: $i] :
( v4_membered(k1_zfmisc_1(X0))
| r1_tarski(sK237(k1_zfmisc_1(X0)),X0) ),
inference(superposition,[status(thm)],[c_161346,c_541]) ).
tcf(c_167350,plain,
! [X0: $i] :
( v2_membered(k1_zfmisc_1(X0))
| r1_tarski(sK245(k1_zfmisc_1(X0)),X0) ),
inference(superposition,[status(thm)],[c_161347,c_541]) ).
tcf(c_167351,plain,
! [X0: $i] :
( v1_membered(k1_zfmisc_1(X0))
| r1_tarski(sK251(k1_zfmisc_1(X0)),X0) ),
inference(superposition,[status(thm)],[c_161348,c_541]) ).
tcf(c_167352,plain,
! [X0: $i] :
( v1_realset1(k1_zfmisc_1(X0))
| r1_tarski(sK315(k1_zfmisc_1(X0)),X0) ),
inference(superposition,[status(thm)],[c_161349,c_541]) ).
tcf(c_167353,plain,
! [X0: $i] :
( v1_realset1(k1_zfmisc_1(X0))
| r1_tarski(sK316(k1_zfmisc_1(X0)),X0) ),
inference(superposition,[status(thm)],[c_161350,c_541]) ).
tcf(c_167354,plain,
! [X0: $i] :
( v3_ordinal1(k1_zfmisc_1(X0))
| r1_tarski(sK552(k1_zfmisc_1(X0)),X0) ),
inference(superposition,[status(thm)],[c_161356,c_541]) ).
tcf(c_167357,plain,
! [X0: $i] :
( v5_membered(k3_tarski(k1_zfmisc_1(X0)))
| r1_tarski(sK223(k1_zfmisc_1(X0)),X0) ),
inference(superposition,[status(thm)],[c_161605,c_541]) ).
tcf(c_167358,plain,
! [X0: $i] :
( v4_membered(k3_tarski(k1_zfmisc_1(X0)))
| r1_tarski(sK231(k1_zfmisc_1(X0)),X0) ),
inference(superposition,[status(thm)],[c_162257,c_541]) ).
tcf(c_167359,plain,
! [X0: $i] :
( v3_membered(k3_tarski(k1_zfmisc_1(X0)))
| r1_tarski(sK238(k1_zfmisc_1(X0)),X0) ),
inference(superposition,[status(thm)],[c_162595,c_541]) ).
tcf(c_167382,plain,
! [X0: $i] :
( v3_membered(X0)
| r1_tarski(sK238(k1_zfmisc_1(X0)),X0) ),
inference(light_normalisation,[status(thm)],[c_167359,c_2507]) ).
tcf(c_167385,plain,
! [X0: $i] :
( v4_membered(X0)
| r1_tarski(sK231(k1_zfmisc_1(X0)),X0) ),
inference(light_normalisation,[status(thm)],[c_167358,c_2507]) ).
tcf(c_167388,plain,
! [X0: $i] :
( v5_membered(X0)
| r1_tarski(sK223(k1_zfmisc_1(X0)),X0) ),
inference(light_normalisation,[status(thm)],[c_167357,c_2507]) ).
tcf(c_167401,plain,
! [X0: $i,X1: $i] :
( ~ v1_xboole_0(k1_zfmisc_1(X1))
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_562,c_597]) ).
tcf(c_167402,plain,
! [X0: $i] : ~ r1_tarski(sK548(k1_zfmisc_1(X0)),X0),
inference(superposition,[status(thm)],[c_562,c_3500]) ).
tcf(c_167403,plain,
! [X0: $i] : ~ r1_tarski(k1_zfmisc_1(X0),X0),
inference(superposition,[status(thm)],[c_562,c_167149]) ).
tcf(c_167418,plain,
! [X0: $i] :
( v2_membered(k3_tarski(k1_zfmisc_1(X0)))
| r1_tarski(sK239(k1_zfmisc_1(X0)),X0) ),
inference(superposition,[status(thm)],[c_1513,c_563]) ).
tcf(c_167420,plain,
! [X0: $i] :
( v1_membered(k3_tarski(k1_zfmisc_1(X0)))
| r1_tarski(sK246(k1_zfmisc_1(X0)),X0) ),
inference(superposition,[status(thm)],[c_1559,c_563]) ).
tcf(c_167424,plain,
! [X0: $i] :
( v3_ordinal1(k3_tarski(k1_zfmisc_1(X0)))
| r1_tarski(sK395(k1_zfmisc_1(X0)),X0) ),
inference(superposition,[status(thm)],[c_2503,c_563]) ).
tcf(c_167425,plain,
! [X0: $i] :
( v3_ordinal1(k1_setfam_1(k1_zfmisc_1(X0)))
| r1_tarski(sK400(k1_zfmisc_1(X0)),X0) ),
inference(superposition,[status(thm)],[c_2531,c_563]) ).
tcf(c_167426,plain,
! [X0: $i] :
( v3_ordinal1(sK549(k1_zfmisc_1(X0)))
| r1_tarski(sK549(k1_zfmisc_1(X0)),X0) ),
inference(superposition,[status(thm)],[c_3503,c_563]) ).
tcf(c_167427,plain,
! [X0: $i] :
( v3_ordinal1(sK551(k1_zfmisc_1(X0)))
| r1_tarski(sK550(k1_zfmisc_1(X0)),X0) ),
inference(superposition,[status(thm)],[c_3507,c_563]) ).
tcf(c_167438,plain,
! [X0: $i] :
( v3_ordinal1(X0)
| r1_tarski(sK395(k1_zfmisc_1(X0)),X0) ),
inference(light_normalisation,[status(thm)],[c_167424,c_2507]) ).
tcf(c_167441,plain,
! [X0: $i] :
( v1_membered(X0)
| r1_tarski(sK246(k1_zfmisc_1(X0)),X0) ),
inference(light_normalisation,[status(thm)],[c_167420,c_2507]) ).
tcf(c_167444,plain,
! [X0: $i] :
( v2_membered(X0)
| r1_tarski(sK239(k1_zfmisc_1(X0)),X0) ),
inference(light_normalisation,[status(thm)],[c_167418,c_2507]) ).
tcf(c_167459,plain,
k2_relat_1(sK115(np__0,np__0)) = np__0,
inference(superposition,[status(thm)],[c_723,c_564]) ).
tcf(c_167465,plain,
~ v1_int_1(k2_numbers),
inference(superposition,[status(thm)],[c_2723,c_167163]) ).
tcf(c_167466,plain,
~ v1_int_1(k1_numbers),
inference(superposition,[status(thm)],[c_2723,c_167164]) ).
tcf(c_167467,plain,
~ v1_int_1(k3_numbers),
inference(superposition,[status(thm)],[c_2723,c_167165]) ).
tcf(c_167468,plain,
~ v1_xreal_0(k2_numbers),
inference(superposition,[status(thm)],[c_2744,c_167171]) ).
tcf(c_167471,plain,
! [X0: $i] : k1_card_1(k1_funct_2(k1_zfmisc_1(np__0),X0)) = k1_card_1(X0),
inference(superposition,[status(thm)],[c_47417,c_48215]) ).
tcf(c_167472,plain,
! [X0: $i,X1: $i] : m1_subset_1(k1_card_1(X0),k1_card_1(k1_zfmisc_1(k1_funct_2(k2_tarski(X1,X1),X0)))),
inference(superposition,[status(thm)],[c_48215,c_161355]) ).
tcf(c_167473,plain,
! [X0: $i,X1: $i] :
( ( k1_funct_2(k2_tarski(X1,X1),X0) = np__0 )
| ( k1_card_1(X0) != np__0 ) ),
inference(superposition,[status(thm)],[c_48215,c_2806]) ).
tcf(c_167474,plain,
! [X0: $i,X1: $i] : r2_hidden(k1_card_1(X0),k1_card_1(k1_zfmisc_1(k1_funct_2(k2_tarski(X1,X1),X0)))),
inference(superposition,[status(thm)],[c_48215,c_2813]) ).
tcf(c_167475,plain,
! [X0: $i,X1: $i] :
( v1_finset_1(k1_card_1(X1))
| ~ v1_finset_1(k1_funct_2(k2_tarski(X0,X0),X1)) ),
inference(superposition,[status(thm)],[c_48215,c_1661]) ).
tcf(c_167476,plain,
! [X0: $i,X1: $i] :
( v1_finset_1(k1_funct_2(k2_tarski(X1,X1),X0))
| ~ v1_finset_1(k1_card_1(X0)) ),
inference(superposition,[status(thm)],[c_48215,c_1660]) ).
tcf(c_167478,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X2 )
| ( k1_card_1(k1_zfmisc_1(k2_tarski(X0,X0))) = k1_card_1(k2_tarski(X1,X2)) ) ),
inference(superposition,[status(thm)],[c_48215,c_3667]) ).
tcf(c_167497,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,X1)
| m1_subset_1(sK82(X0,X1),X0) ),
inference(superposition,[status(thm)],[c_572,c_626]) ).
tcf(c_167498,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,X1)
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_572,c_597]) ).
tcf(c_167499,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k1_zfmisc_1(X0),X1)
| r1_tarski(sK82(k1_zfmisc_1(X0),X1),X0) ),
inference(superposition,[status(thm)],[c_572,c_563]) ).
tcf(c_167501,plain,
! [X0: $i] :
( r1_tarski(k4_numbers,X0)
| v1_int_1(sK82(k4_numbers,X0)) ),
inference(superposition,[status(thm)],[c_572,c_2722]) ).
tcf(c_167502,plain,
! [X0: $i] :
( r1_tarski(k1_numbers,X0)
| v1_xreal_0(sK82(k1_numbers,X0)) ),
inference(superposition,[status(thm)],[c_572,c_2743]) ).
tcf(c_167503,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k5_finsub_1(X0),X1)
| v1_finset_1(sK82(k5_finsub_1(X0),X1)) ),
inference(superposition,[status(thm)],[c_572,c_14774]) ).
tcf(c_167525,plain,
! [X0: $i,X1: $i] :
( r2_hidden(sK92(k1_zfmisc_1(X1)),k1_zfmisc_1(X1))
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_562,c_627]) ).
tcf(c_167526,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,X1)
| r2_hidden(sK92(X0),X0) ),
inference(superposition,[status(thm)],[c_572,c_627]) ).
tcf(c_167527,plain,
! [X0: $i] :
( v1_relat_1(X0)
| r2_hidden(sK92(X0),X0) ),
inference(superposition,[status(thm)],[c_787,c_627]) ).
tcf(c_167528,plain,
! [X0: $i] :
( v5_membered(k3_tarski(X0))
| r2_hidden(sK92(X0),X0) ),
inference(superposition,[status(thm)],[c_1321,c_627]) ).
tcf(c_167529,plain,
! [X0: $i] :
( v5_membered(X0)
| r2_hidden(sK92(X0),X0) ),
inference(superposition,[status(thm)],[c_1342,c_627]) ).
tcf(c_167530,plain,
! [X0: $i] :
( v4_membered(k3_tarski(X0))
| r2_hidden(sK92(X0),X0) ),
inference(superposition,[status(thm)],[c_1413,c_627]) ).
tcf(c_167531,plain,
! [X0: $i] :
( v4_membered(X0)
| r2_hidden(sK92(X0),X0) ),
inference(superposition,[status(thm)],[c_1434,c_627]) ).
tcf(c_167532,plain,
! [X0: $i] :
( v3_membered(k3_tarski(X0))
| r2_hidden(sK92(X0),X0) ),
inference(superposition,[status(thm)],[c_1483,c_627]) ).
tcf(c_167533,plain,
! [X0: $i] :
( v2_membered(k3_tarski(X0))
| r2_hidden(sK92(X0),X0) ),
inference(superposition,[status(thm)],[c_1513,c_627]) ).
tcf(c_167534,plain,
! [X0: $i] :
( v2_membered(X0)
| r2_hidden(sK92(X0),X0) ),
inference(superposition,[status(thm)],[c_1534,c_627]) ).
tcf(c_167535,plain,
! [X0: $i] :
( v1_membered(k3_tarski(X0))
| r2_hidden(sK92(X0),X0) ),
inference(superposition,[status(thm)],[c_1559,c_627]) ).
tcf(c_167536,plain,
! [X0: $i] :
( v1_membered(X0)
| r2_hidden(sK92(X0),X0) ),
inference(superposition,[status(thm)],[c_1577,c_627]) ).
tcf(c_167537,plain,
! [X0: $i] :
( v1_realset1(X0)
| r2_hidden(sK92(X0),X0) ),
inference(superposition,[status(thm)],[c_1986,c_627]) ).
tcf(c_167539,plain,
! [X0: $i] :
( v3_ordinal1(k3_tarski(X0))
| r2_hidden(sK92(X0),X0) ),
inference(superposition,[status(thm)],[c_2503,c_627]) ).
tcf(c_167540,plain,
! [X0: $i] :
( v3_ordinal1(k1_setfam_1(X0))
| r2_hidden(sK92(X0),X0) ),
inference(superposition,[status(thm)],[c_2531,c_627]) ).
tcf(c_167541,plain,
! [X0: $i,X1: $i] : r2_hidden(sK92(k2_tarski(X0,X1)),k2_tarski(X0,X1)),
inference(superposition,[status(thm)],[c_2711,c_627]) ).
tcf(c_167543,plain,
! [X0: $i] :
( r2_hidden(sK92(k4_numbers),k4_numbers)
| ~ v1_int_1(X0) ),
inference(superposition,[status(thm)],[c_2723,c_627]) ).
tcf(c_167544,plain,
! [X0: $i] :
( r2_hidden(sK92(k1_numbers),k1_numbers)
| ~ v1_xreal_0(X0) ),
inference(superposition,[status(thm)],[c_2744,c_627]) ).
tcf(c_167545,plain,
! [X0: $i] : r2_hidden(sK92(k1_card_1(k1_zfmisc_1(X0))),k1_card_1(k1_zfmisc_1(X0))),
inference(superposition,[status(thm)],[c_2813,c_627]) ).
tcf(c_167546,plain,
! [X0: $i] :
( v3_ordinal1(sK549(X0))
| r2_hidden(sK92(X0),X0) ),
inference(superposition,[status(thm)],[c_3503,c_627]) ).
tcf(c_167547,plain,
! [X0: $i] :
( v3_ordinal1(sK551(X0))
| r2_hidden(sK92(X0),X0) ),
inference(superposition,[status(thm)],[c_3507,c_627]) ).
tcf(c_167548,plain,
! [X0: $i] :
( v3_ordinal1(X0)
| r2_hidden(sK92(X0),X0) ),
inference(superposition,[status(thm)],[c_3509,c_627]) ).
tcf(c_167549,plain,
! [X0: $i] :
( v4_finsub_1(X0)
| r2_hidden(sK92(X0),X0) ),
inference(superposition,[status(thm)],[c_3603,c_627]) ).
tcf(c_167551,plain,
r2_hidden(sK92(k1_zfmisc_1(np__0)),k1_zfmisc_1(np__0)),
inference(superposition,[status(thm)],[c_165519,c_627]) ).
tcf(c_167617,plain,
! [X0: $i,X1: $i] :
( ~ r1_tarski(X1,X0)
| ~ r2_hidden(k1_zfmisc_1(X0),X1) ),
inference(superposition,[status(thm)],[c_562,c_631]) ).
tcf(c_167618,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,X1)
| ~ r2_hidden(X0,sK82(X0,X1)) ),
inference(superposition,[status(thm)],[c_572,c_631]) ).
tcf(c_167619,plain,
! [X0: $i] :
( v1_relat_1(X0)
| ~ r2_hidden(X0,sK146(X0)) ),
inference(superposition,[status(thm)],[c_787,c_631]) ).
tcf(c_167620,plain,
! [X0: $i] :
( v5_membered(k3_tarski(X0))
| ~ r2_hidden(X0,sK223(X0)) ),
inference(superposition,[status(thm)],[c_1321,c_631]) ).
tcf(c_167621,plain,
! [X0: $i] :
( v5_membered(X0)
| ~ r2_hidden(X0,sK229(X0)) ),
inference(superposition,[status(thm)],[c_1342,c_631]) ).
tcf(c_167622,plain,
! [X0: $i] :
( v4_membered(k3_tarski(X0))
| ~ r2_hidden(X0,sK231(X0)) ),
inference(superposition,[status(thm)],[c_1413,c_631]) ).
tcf(c_167623,plain,
! [X0: $i] :
( v4_membered(X0)
| ~ r2_hidden(X0,sK237(X0)) ),
inference(superposition,[status(thm)],[c_1434,c_631]) ).
tcf(c_167624,plain,
! [X0: $i] :
( v3_membered(k3_tarski(X0))
| ~ r2_hidden(X0,sK238(X0)) ),
inference(superposition,[status(thm)],[c_1483,c_631]) ).
tcf(c_167625,plain,
! [X0: $i] :
( v2_membered(k3_tarski(X0))
| ~ r2_hidden(X0,sK239(X0)) ),
inference(superposition,[status(thm)],[c_1513,c_631]) ).
tcf(c_167626,plain,
! [X0: $i] :
( v2_membered(X0)
| ~ r2_hidden(X0,sK245(X0)) ),
inference(superposition,[status(thm)],[c_1534,c_631]) ).
tcf(c_167627,plain,
! [X0: $i] :
( v1_membered(k3_tarski(X0))
| ~ r2_hidden(X0,sK246(X0)) ),
inference(superposition,[status(thm)],[c_1559,c_631]) ).
tcf(c_167628,plain,
! [X0: $i] :
( v1_membered(X0)
| ~ r2_hidden(X0,sK251(X0)) ),
inference(superposition,[status(thm)],[c_1577,c_631]) ).
tcf(c_167629,plain,
! [X0: $i] :
( v1_realset1(X0)
| ~ r2_hidden(X0,sK315(X0)) ),
inference(superposition,[status(thm)],[c_1986,c_631]) ).
tcf(c_167630,plain,
! [X0: $i] :
( v1_realset1(X0)
| ~ r2_hidden(X0,sK316(X0)) ),
inference(superposition,[status(thm)],[c_1987,c_631]) ).
tcf(c_167631,plain,
! [X0: $i] :
( v3_ordinal1(k3_tarski(X0))
| ~ r2_hidden(X0,sK395(X0)) ),
inference(superposition,[status(thm)],[c_2503,c_631]) ).
tcf(c_167632,plain,
! [X0: $i] :
( v3_ordinal1(k1_setfam_1(X0))
| ~ r2_hidden(X0,sK400(X0)) ),
inference(superposition,[status(thm)],[c_2531,c_631]) ).
tcf(c_167633,plain,
! [X0: $i,X1: $i] : ~ r2_hidden(k2_tarski(X0,X1),X0),
inference(superposition,[status(thm)],[c_2711,c_631]) ).
tcf(c_167634,plain,
! [X0: $i,X1: $i] : ~ r2_hidden(k2_tarski(X0,X1),X1),
inference(superposition,[status(thm)],[c_2712,c_631]) ).
tcf(c_167635,plain,
! [X0: $i] :
( ~ v1_int_1(X0)
| ~ r2_hidden(k4_numbers,X0) ),
inference(superposition,[status(thm)],[c_2723,c_631]) ).
tcf(c_167636,plain,
! [X0: $i] :
( ~ v1_xreal_0(X0)
| ~ r2_hidden(k1_numbers,X0) ),
inference(superposition,[status(thm)],[c_2744,c_631]) ).
tcf(c_167637,plain,
! [X0: $i] : ~ r2_hidden(k1_card_1(k1_zfmisc_1(X0)),k1_card_1(X0)),
inference(superposition,[status(thm)],[c_2813,c_631]) ).
tcf(c_167638,plain,
! [X0: $i] :
( v3_ordinal1(sK549(X0))
| ~ r2_hidden(X0,sK549(X0)) ),
inference(superposition,[status(thm)],[c_3503,c_631]) ).
tcf(c_167639,plain,
! [X0: $i] :
( v3_ordinal1(sK551(X0))
| ~ r2_hidden(X0,sK550(X0)) ),
inference(superposition,[status(thm)],[c_3507,c_631]) ).
tcf(c_167640,plain,
! [X0: $i] :
( v3_ordinal1(X0)
| ~ r2_hidden(X0,sK552(X0)) ),
inference(superposition,[status(thm)],[c_3509,c_631]) ).
tcf(c_167641,plain,
! [X0: $i] :
( v4_finsub_1(X0)
| ~ r2_hidden(X0,sK558(X0)) ),
inference(superposition,[status(thm)],[c_3603,c_631]) ).
tcf(c_167642,plain,
! [X0: $i] :
( v4_finsub_1(X0)
| ~ r2_hidden(X0,sK559(X0)) ),
inference(superposition,[status(thm)],[c_3604,c_631]) ).
tcf(c_167643,plain,
~ r2_hidden(k1_zfmisc_1(np__0),np__0),
inference(superposition,[status(thm)],[c_165519,c_631]) ).
tcf(c_167647,plain,
~ r2_hidden(k1_card_1(k1_zfmisc_1(np__0)),np__0),
inference(superposition,[status(thm)],[c_160622,c_631]) ).
tcf(c_167713,plain,
! [X0: $i] :
( ( X0 = np__0 )
| ~ r2_hidden(X0,sK114(X0)) ),
inference(superposition,[status(thm)],[c_697,c_631]) ).
tcf(c_167714,plain,
! [X0: $i] :
( r2_hidden(sK92(X0),X0)
| ( X0 = np__0 ) ),
inference(superposition,[status(thm)],[c_697,c_627]) ).
tcf(c_167715,plain,
! [X0: $i] :
( m1_subset_1(sK114(X0),X0)
| ( X0 = np__0 ) ),
inference(superposition,[status(thm)],[c_697,c_626]) ).
tcf(c_167717,plain,
! [X0: $i] :
( r1_tarski(sK114(k1_zfmisc_1(X0)),X0)
| ( k1_zfmisc_1(X0) = np__0 ) ),
inference(superposition,[status(thm)],[c_697,c_563]) ).
tcf(c_167719,plain,
( v1_int_1(sK114(k4_numbers))
| ( np__0 = k4_numbers ) ),
inference(superposition,[status(thm)],[c_697,c_2722]) ).
tcf(c_167720,plain,
( v1_xreal_0(sK114(k1_numbers))
| ( np__0 = k1_numbers ) ),
inference(superposition,[status(thm)],[c_697,c_2743]) ).
tcf(c_167721,plain,
! [X0: $i] :
( v1_finset_1(sK114(k5_finsub_1(X0)))
| ( k5_finsub_1(X0) = np__0 ) ),
inference(superposition,[status(thm)],[c_697,c_14774]) ).
tcf(c_167738,plain,
( v5_membered(k1_tops_1(sK298,np__0))
| ~ l1_pre_topc(sK298) ),
inference(superposition,[status(thm)],[c_166752,c_315]) ).
tcf(c_167739,plain,
( v4_membered(k1_tops_1(sK298,np__0))
| ~ l1_pre_topc(sK298) ),
inference(superposition,[status(thm)],[c_166752,c_314]) ).
tcf(c_167740,plain,
( v3_membered(k1_tops_1(sK298,np__0))
| ~ l1_pre_topc(sK298) ),
inference(superposition,[status(thm)],[c_166752,c_313]) ).
tcf(c_167741,plain,
( v2_membered(k1_tops_1(sK298,np__0))
| ~ l1_pre_topc(sK298) ),
inference(superposition,[status(thm)],[c_166752,c_312]) ).
tcf(c_167742,plain,
( v1_membered(k1_tops_1(sK298,np__0))
| ~ l1_pre_topc(sK298) ),
inference(superposition,[status(thm)],[c_166752,c_311]) ).
tcf(c_167743,plain,
( v1_xboole_0(k1_tops_1(sK298,np__0))
| ~ l1_pre_topc(sK298) ),
inference(superposition,[status(thm)],[c_166752,c_310]) ).
tcf(c_167782,plain,
( v5_membered(k1_tops_1(sK299,np__0))
| ~ l1_pre_topc(sK299) ),
inference(superposition,[status(thm)],[c_166753,c_315]) ).
tcf(c_167783,plain,
( v4_membered(k1_tops_1(sK299,np__0))
| ~ l1_pre_topc(sK299) ),
inference(superposition,[status(thm)],[c_166753,c_314]) ).
tcf(c_167784,plain,
( v3_membered(k1_tops_1(sK299,np__0))
| ~ l1_pre_topc(sK299) ),
inference(superposition,[status(thm)],[c_166753,c_313]) ).
tcf(c_167785,plain,
( v2_membered(k1_tops_1(sK299,np__0))
| ~ l1_pre_topc(sK299) ),
inference(superposition,[status(thm)],[c_166753,c_312]) ).
tcf(c_167786,plain,
( v1_membered(k1_tops_1(sK299,np__0))
| ~ l1_pre_topc(sK299) ),
inference(superposition,[status(thm)],[c_166753,c_311]) ).
tcf(c_167787,plain,
( v1_xboole_0(k1_tops_1(sK299,np__0))
| ~ l1_pre_topc(sK299) ),
inference(superposition,[status(thm)],[c_166753,c_310]) ).
tcf(c_167826,plain,
( v5_membered(k1_tops_1(sK174,np__0))
| ~ l1_pre_topc(sK174) ),
inference(superposition,[status(thm)],[c_166754,c_315]) ).
tcf(c_167827,plain,
( v4_membered(k1_tops_1(sK174,np__0))
| ~ l1_pre_topc(sK174) ),
inference(superposition,[status(thm)],[c_166754,c_314]) ).
tcf(c_167828,plain,
( v3_membered(k1_tops_1(sK174,np__0))
| ~ l1_pre_topc(sK174) ),
inference(superposition,[status(thm)],[c_166754,c_313]) ).
tcf(c_167829,plain,
( v2_membered(k1_tops_1(sK174,np__0))
| ~ l1_pre_topc(sK174) ),
inference(superposition,[status(thm)],[c_166754,c_312]) ).
tcf(c_167830,plain,
( v1_membered(k1_tops_1(sK174,np__0))
| ~ l1_pre_topc(sK174) ),
inference(superposition,[status(thm)],[c_166754,c_311]) ).
tcf(c_167831,plain,
( v1_xboole_0(k1_tops_1(sK174,np__0))
| ~ l1_pre_topc(sK174) ),
inference(superposition,[status(thm)],[c_166754,c_310]) ).
tcf(c_167870,plain,
( v5_membered(k1_tops_1(sK458,np__0))
| ~ l1_pre_topc(sK458) ),
inference(superposition,[status(thm)],[c_166755,c_315]) ).
tcf(c_167871,plain,
( v4_membered(k1_tops_1(sK458,np__0))
| ~ l1_pre_topc(sK458) ),
inference(superposition,[status(thm)],[c_166755,c_314]) ).
tcf(c_167872,plain,
( v3_membered(k1_tops_1(sK458,np__0))
| ~ l1_pre_topc(sK458) ),
inference(superposition,[status(thm)],[c_166755,c_313]) ).
tcf(c_167873,plain,
( v2_membered(k1_tops_1(sK458,np__0))
| ~ l1_pre_topc(sK458) ),
inference(superposition,[status(thm)],[c_166755,c_312]) ).
tcf(c_167874,plain,
( v1_membered(k1_tops_1(sK458,np__0))
| ~ l1_pre_topc(sK458) ),
inference(superposition,[status(thm)],[c_166755,c_311]) ).
tcf(c_167875,plain,
( v1_xboole_0(k1_tops_1(sK458,np__0))
| ~ l1_pre_topc(sK458) ),
inference(superposition,[status(thm)],[c_166755,c_310]) ).
tcf(c_167914,plain,
( v5_membered(k1_tops_1(sK462,np__0))
| ~ l1_pre_topc(sK462) ),
inference(superposition,[status(thm)],[c_166756,c_315]) ).
tcf(c_167915,plain,
( v4_membered(k1_tops_1(sK462,np__0))
| ~ l1_pre_topc(sK462) ),
inference(superposition,[status(thm)],[c_166756,c_314]) ).
tcf(c_167916,plain,
( v3_membered(k1_tops_1(sK462,np__0))
| ~ l1_pre_topc(sK462) ),
inference(superposition,[status(thm)],[c_166756,c_313]) ).
tcf(c_167917,plain,
( v2_membered(k1_tops_1(sK462,np__0))
| ~ l1_pre_topc(sK462) ),
inference(superposition,[status(thm)],[c_166756,c_312]) ).
tcf(c_167918,plain,
( v1_membered(k1_tops_1(sK462,np__0))
| ~ l1_pre_topc(sK462) ),
inference(superposition,[status(thm)],[c_166756,c_311]) ).
tcf(c_167919,plain,
( v1_xboole_0(k1_tops_1(sK462,np__0))
| ~ l1_pre_topc(sK462) ),
inference(superposition,[status(thm)],[c_166756,c_310]) ).
tcf(c_167958,plain,
( v5_membered(k1_tops_1(sK463,np__0))
| ~ l1_pre_topc(sK463) ),
inference(superposition,[status(thm)],[c_166757,c_315]) ).
tcf(c_167959,plain,
( v4_membered(k1_tops_1(sK463,np__0))
| ~ l1_pre_topc(sK463) ),
inference(superposition,[status(thm)],[c_166757,c_314]) ).
tcf(c_167960,plain,
( v3_membered(k1_tops_1(sK463,np__0))
| ~ l1_pre_topc(sK463) ),
inference(superposition,[status(thm)],[c_166757,c_313]) ).
tcf(c_167961,plain,
( v2_membered(k1_tops_1(sK463,np__0))
| ~ l1_pre_topc(sK463) ),
inference(superposition,[status(thm)],[c_166757,c_312]) ).
tcf(c_167962,plain,
( v1_membered(k1_tops_1(sK463,np__0))
| ~ l1_pre_topc(sK463) ),
inference(superposition,[status(thm)],[c_166757,c_311]) ).
tcf(c_167963,plain,
( v1_xboole_0(k1_tops_1(sK463,np__0))
| ~ l1_pre_topc(sK463) ),
inference(superposition,[status(thm)],[c_166757,c_310]) ).
tcf(c_168002,plain,
( v5_membered(k1_tops_1(sK41,np__0))
| ~ l1_pre_topc(sK41) ),
inference(superposition,[status(thm)],[c_166758,c_315]) ).
tcf(c_168003,plain,
( v4_membered(k1_tops_1(sK41,np__0))
| ~ l1_pre_topc(sK41) ),
inference(superposition,[status(thm)],[c_166758,c_314]) ).
tcf(c_168004,plain,
( v3_membered(k1_tops_1(sK41,np__0))
| ~ l1_pre_topc(sK41) ),
inference(superposition,[status(thm)],[c_166758,c_313]) ).
tcf(c_168005,plain,
( v2_membered(k1_tops_1(sK41,np__0))
| ~ l1_pre_topc(sK41) ),
inference(superposition,[status(thm)],[c_166758,c_312]) ).
tcf(c_168006,plain,
( v1_membered(k1_tops_1(sK41,np__0))
| ~ l1_pre_topc(sK41) ),
inference(superposition,[status(thm)],[c_166758,c_311]) ).
tcf(c_168007,plain,
( v1_xboole_0(k1_tops_1(sK41,np__0))
| ~ l1_pre_topc(sK41) ),
inference(superposition,[status(thm)],[c_166758,c_310]) ).
tcf(c_168034,plain,
v1_xboole_0(k1_tops_1(sK41,np__0)),
inference(forward_subsumption_resolution,[status(thm)],[c_168007,c_60]) ).
tcf(c_168035,plain,
v1_membered(k1_tops_1(sK41,np__0)),
inference(forward_subsumption_resolution,[status(thm)],[c_168006,c_60]) ).
tcf(c_168036,plain,
v2_membered(k1_tops_1(sK41,np__0)),
inference(forward_subsumption_resolution,[status(thm)],[c_168005,c_60]) ).
tcf(c_168037,plain,
v3_membered(k1_tops_1(sK41,np__0)),
inference(forward_subsumption_resolution,[status(thm)],[c_168004,c_60]) ).
tcf(c_168038,plain,
v4_membered(k1_tops_1(sK41,np__0)),
inference(forward_subsumption_resolution,[status(thm)],[c_168003,c_60]) ).
tcf(c_168039,plain,
v5_membered(k1_tops_1(sK41,np__0)),
inference(forward_subsumption_resolution,[status(thm)],[c_168002,c_60]) ).
tcf(c_168040,plain,
v4_finsub_1(k1_tops_1(sK41,np__0)),
inference(superposition,[status(thm)],[c_168034,c_161211]) ).
tcf(c_168041,plain,
v3_ordinal1(k1_tops_1(sK41,np__0)),
inference(superposition,[status(thm)],[c_168034,c_161210]) ).
tcf(c_168042,plain,
k1_tops_1(sK41,np__0) = np__0,
inference(superposition,[status(thm)],[c_168034,c_600]) ).
tcf(c_168043,plain,
v2_funct_1(k1_tops_1(sK41,np__0)),
inference(superposition,[status(thm)],[c_168034,c_6810]) ).
tcf(c_168044,plain,
v1_realset1(k1_tops_1(sK41,np__0)),
inference(superposition,[status(thm)],[c_168034,c_2002]) ).
tcf(c_168045,plain,
v1_finset_1(k1_tops_1(sK41,np__0)),
inference(superposition,[status(thm)],[c_168034,c_1700]) ).
tcf(c_168051,plain,
v1_relat_1(k1_tops_1(sK41,np__0)),
inference(superposition,[status(thm)],[c_168034,c_582]) ).
tcf(c_168052,plain,
v1_funct_1(k1_tops_1(sK41,np__0)),
inference(superposition,[status(thm)],[c_168034,c_577]) ).
tcf(c_168058,plain,
! [X0: $i,X1: $i] : k3_tarski(k2_tarski(X0,k3_tarski(k2_tarski(X1,k2_tarski(k3_tarski(k2_tarski(X0,X1)),k3_tarski(k2_tarski(X0,X1))))))) != k3_tarski(k2_tarski(X0,X1)),
inference(superposition,[status(thm)],[c_500,c_48232]) ).
tcf(c_168059,plain,
! [X0: $i,X1: $i] : k2_enumset1(X0,X1,k2_tarski(X0,X1),k2_tarski(X0,X1)) != k2_tarski(X0,X1),
inference(superposition,[status(thm)],[c_3627,c_48232]) ).
tcf(c_168060,plain,
k2_tarski(np__0,np__0) != np__0,
inference(superposition,[status(thm)],[c_162072,c_48232]) ).
tcf(c_168061,plain,
k3_tarski(k2_tarski(np__0,k1_zfmisc_1(np__0))) != np__0,
inference(superposition,[status(thm)],[c_47417,c_48232]) ).
tcf(c_168077,plain,
! [X0: $i] :
( ( X0 = np__0 )
| ~ r2_hidden(X0,sK127(X0)) ),
inference(superposition,[status(thm)],[c_758,c_631]) ).
tcf(c_168079,plain,
! [X0: $i] :
( m1_subset_1(sK127(X0),X0)
| ( X0 = np__0 ) ),
inference(superposition,[status(thm)],[c_758,c_626]) ).
tcf(c_168081,plain,
! [X0: $i] :
( r1_tarski(sK127(k1_zfmisc_1(X0)),X0)
| ( k1_zfmisc_1(X0) = np__0 ) ),
inference(superposition,[status(thm)],[c_758,c_563]) ).
tcf(c_168083,plain,
( v1_int_1(sK127(k4_numbers))
| ( np__0 = k4_numbers ) ),
inference(superposition,[status(thm)],[c_758,c_2722]) ).
tcf(c_168084,plain,
( v1_xreal_0(sK127(k1_numbers))
| ( np__0 = k1_numbers ) ),
inference(superposition,[status(thm)],[c_758,c_2743]) ).
tcf(c_168085,plain,
! [X0: $i] :
( v1_finset_1(sK127(k5_finsub_1(X0)))
| ( k5_finsub_1(X0) = np__0 ) ),
inference(superposition,[status(thm)],[c_758,c_14774]) ).
tcf(c_168106,plain,
! [X0: $i] :
( sP9(X0)
| v1_relat_1(X0)
| ~ r2_hidden(X0,sK133(X0)) ),
inference(superposition,[status(thm)],[c_767,c_631]) ).
tcf(c_168108,plain,
! [X0: $i] :
( sP9(X0)
| v1_relat_1(X0)
| m1_subset_1(sK133(X0),X0) ),
inference(superposition,[status(thm)],[c_767,c_626]) ).
tcf(c_168110,plain,
! [X0: $i] :
( sP9(k1_zfmisc_1(X0))
| v1_relat_1(k1_zfmisc_1(X0))
| r1_tarski(sK133(k1_zfmisc_1(X0)),X0) ),
inference(superposition,[status(thm)],[c_767,c_563]) ).
tcf(c_168112,plain,
( sP9(k4_numbers)
| v1_relat_1(k4_numbers)
| v1_int_1(sK133(k4_numbers)) ),
inference(superposition,[status(thm)],[c_767,c_2722]) ).
tcf(c_168113,plain,
( sP9(k1_numbers)
| v1_relat_1(k1_numbers)
| v1_xreal_0(sK133(k1_numbers)) ),
inference(superposition,[status(thm)],[c_767,c_2743]) ).
tcf(c_168114,plain,
! [X0: $i] :
( sP9(k5_finsub_1(X0))
| v1_relat_1(k5_finsub_1(X0))
| v1_finset_1(sK133(k5_finsub_1(X0))) ),
inference(superposition,[status(thm)],[c_767,c_14774]) ).
tcf(c_168143,plain,
( v5_membered(k1_tops_1(sK277,np__0))
| ~ l1_pre_topc(sK277) ),
inference(superposition,[status(thm)],[c_166759,c_315]) ).
tcf(c_168144,plain,
( v4_membered(k1_tops_1(sK277,np__0))
| ~ l1_pre_topc(sK277) ),
inference(superposition,[status(thm)],[c_166759,c_314]) ).
tcf(c_168145,plain,
( v3_membered(k1_tops_1(sK277,np__0))
| ~ l1_pre_topc(sK277) ),
inference(superposition,[status(thm)],[c_166759,c_313]) ).
tcf(c_168146,plain,
( v2_membered(k1_tops_1(sK277,np__0))
| ~ l1_pre_topc(sK277) ),
inference(superposition,[status(thm)],[c_166759,c_312]) ).
tcf(c_168147,plain,
( v1_membered(k1_tops_1(sK277,np__0))
| ~ l1_pre_topc(sK277) ),
inference(superposition,[status(thm)],[c_166759,c_311]) ).
tcf(c_168148,plain,
( v1_xboole_0(k1_tops_1(sK277,np__0))
| ~ l1_pre_topc(sK277) ),
inference(superposition,[status(thm)],[c_166759,c_310]) ).
tcf(c_168175,plain,
v1_xboole_0(k1_tops_1(sK277,np__0)),
inference(forward_subsumption_resolution,[status(thm)],[c_168148,c_1792]) ).
tcf(c_168176,plain,
v1_membered(k1_tops_1(sK277,np__0)),
inference(forward_subsumption_resolution,[status(thm)],[c_168147,c_1792]) ).
tcf(c_168177,plain,
v2_membered(k1_tops_1(sK277,np__0)),
inference(forward_subsumption_resolution,[status(thm)],[c_168146,c_1792]) ).
tcf(c_168178,plain,
v3_membered(k1_tops_1(sK277,np__0)),
inference(forward_subsumption_resolution,[status(thm)],[c_168145,c_1792]) ).
tcf(c_168179,plain,
v4_membered(k1_tops_1(sK277,np__0)),
inference(forward_subsumption_resolution,[status(thm)],[c_168144,c_1792]) ).
tcf(c_168180,plain,
v5_membered(k1_tops_1(sK277,np__0)),
inference(forward_subsumption_resolution,[status(thm)],[c_168143,c_1792]) ).
tcf(c_168181,plain,
v4_finsub_1(k1_tops_1(sK277,np__0)),
inference(superposition,[status(thm)],[c_168175,c_161211]) ).
tcf(c_168182,plain,
v3_ordinal1(k1_tops_1(sK277,np__0)),
inference(superposition,[status(thm)],[c_168175,c_161210]) ).
tcf(c_168183,plain,
k1_tops_1(sK277,np__0) = np__0,
inference(superposition,[status(thm)],[c_168175,c_600]) ).
tcf(c_168184,plain,
v2_funct_1(k1_tops_1(sK277,np__0)),
inference(superposition,[status(thm)],[c_168175,c_6810]) ).
tcf(c_168185,plain,
v1_realset1(k1_tops_1(sK277,np__0)),
inference(superposition,[status(thm)],[c_168175,c_2002]) ).
tcf(c_168186,plain,
v1_finset_1(k1_tops_1(sK277,np__0)),
inference(superposition,[status(thm)],[c_168175,c_1700]) ).
tcf(c_168192,plain,
v1_relat_1(k1_tops_1(sK277,np__0)),
inference(superposition,[status(thm)],[c_168175,c_582]) ).
tcf(c_168193,plain,
v1_funct_1(k1_tops_1(sK277,np__0)),
inference(superposition,[status(thm)],[c_168175,c_577]) ).
tcf(c_168197,plain,
! [X0: $i] : k4_xboole_0(k1_zfmisc_1(np__0),k2_tarski(X0,np__0)) = np__0,
inference(superposition,[status(thm)],[c_47417,c_48462]) ).
tcf(c_168200,plain,
k4_xboole_0(k1_zfmisc_1(np__0),k1_zfmisc_1(np__0)) = np__0,
inference(superposition,[status(thm)],[c_47417,c_48462]) ).
tcf(c_168201,plain,
! [X0: $i,X1: $i] : r1_tarski(k4_xboole_0(np__0,X0),k2_tarski(X1,X1)),
inference(superposition,[status(thm)],[c_48462,c_159540]) ).
tcf(c_168202,plain,
! [X0: $i,X1: $i] : r1_tarski(np__0,k5_xboole_0(k2_tarski(X0,X0),k2_tarski(X1,X0))),
inference(superposition,[status(thm)],[c_48462,c_2608]) ).
tcf(c_168203,plain,
! [X0: $i,X1: $i] : r1_xboole_0(np__0,k4_xboole_0(k2_tarski(X0,X1),k2_tarski(X1,X1))),
inference(superposition,[status(thm)],[c_48462,c_2447]) ).
tcf(c_168221,plain,
! [X0: $i,X1: $i] : k3_tarski(k2_tarski(np__0,k4_xboole_0(k2_tarski(X0,X1),k2_tarski(X1,X1)))) = k5_xboole_0(k2_tarski(X1,X1),k2_tarski(X0,X1)),
inference(superposition,[status(thm)],[c_48462,c_2624]) ).
tcf(c_168222,plain,
! [X0: $i,X1: $i] : k1_setfam_1(k2_tarski(k2_tarski(X0,X0),k2_tarski(X1,X0))) = k4_xboole_0(k2_tarski(X0,X0),np__0),
inference(superposition,[status(thm)],[c_48462,c_2532]) ).
tcf(c_168224,plain,
! [X0: $i,X1: $i] : r1_xboole_0(np__0,k2_tarski(X0,X1)),
inference(superposition,[status(thm)],[c_48462,c_2450]) ).
tcf(c_168225,plain,
! [X0: $i] : r1_tarski(np__0,k2_tarski(X0,X0)),
inference(superposition,[status(thm)],[c_48462,c_1734]) ).
tcf(c_168226,plain,
! [X0: $i,X1: $i,X2: $i] : k4_xboole_0(k3_tarski(k2_tarski(k2_tarski(X0,X0),X1)),k2_tarski(X2,X0)) = k3_tarski(k2_tarski(np__0,k4_xboole_0(X1,k2_tarski(X2,X0)))),
inference(superposition,[status(thm)],[c_48462,c_483]) ).
tcf(c_168227,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : k3_tarski(k2_tarski(k2_zfmisc_1(np__0,X0),k2_zfmisc_1(k2_tarski(X1,X1),k4_xboole_0(X0,X2)))) = k4_xboole_0(k2_zfmisc_1(k2_tarski(X1,X1),X0),k2_zfmisc_1(k2_tarski(X3,X1),X2)),
inference(superposition,[status(thm)],[c_48462,c_471]) ).
tcf(c_168228,plain,
! [X0: $i,X1: $i] : r1_xboole_0(k2_tarski(X0,X1),np__0),
inference(superposition,[status(thm)],[c_48462,c_164220]) ).
tcf(c_168229,plain,
! [X0: $i,X1: $i] : r1_xboole_0(k4_xboole_0(k2_tarski(X0,X1),k2_tarski(X1,X1)),np__0),
inference(superposition,[status(thm)],[c_48462,c_2447]) ).
tcf(c_168230,plain,
! [X0: $i,X1: $i] : k3_tarski(k2_tarski(k4_xboole_0(k2_tarski(X0,X1),k2_tarski(X1,X1)),np__0)) = k5_xboole_0(k2_tarski(X0,X1),k2_tarski(X1,X1)),
inference(superposition,[status(thm)],[c_48462,c_2624]) ).
tcf(c_168231,plain,
! [X0: $i,X1: $i] : k3_tarski(k2_tarski(k2_tarski(X0,X1),k2_tarski(X1,X1))) = k5_xboole_0(k2_tarski(X0,X1),np__0),
inference(superposition,[status(thm)],[c_48462,c_2606]) ).
tcf(c_168232,plain,
! [X0: $i,X1: $i] :
( ( k2_tarski(X0,X1) = k2_tarski(X1,X1) )
| ( k4_xboole_0(k2_tarski(X0,X1),k2_tarski(X1,X1)) != np__0 ) ),
inference(superposition,[status(thm)],[c_48462,c_1738]) ).
tcf(c_168233,plain,
! [X0: $i,X1: $i] : k3_tarski(k2_tarski(k2_tarski(X0,X1),k2_tarski(X1,X1))) = k3_tarski(k2_tarski(k2_tarski(X0,X1),np__0)),
inference(superposition,[status(thm)],[c_48462,c_486]) ).
tcf(c_168234,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : k3_tarski(k2_tarski(k2_zfmisc_1(k4_xboole_0(X0,X1),k2_tarski(X2,X2)),k2_zfmisc_1(X0,np__0))) = k4_xboole_0(k2_zfmisc_1(X0,k2_tarski(X2,X2)),k2_zfmisc_1(X1,k2_tarski(X3,X2))),
inference(superposition,[status(thm)],[c_48462,c_471]) ).
tcf(c_168235,plain,
! [X0: $i,X1: $i,X2: $i] : k4_xboole_0(k3_tarski(k2_tarski(X0,k2_tarski(X1,X1))),k2_tarski(X2,X1)) = k3_tarski(k2_tarski(k4_xboole_0(X0,k2_tarski(X2,X1)),np__0)),
inference(superposition,[status(thm)],[c_48462,c_483]) ).
tcf(c_168237,plain,
! [X0: $i,X1: $i] : k3_tarski(k2_tarski(k2_tarski(X0,X1),k2_tarski(X1,X1))) = k5_xboole_0(np__0,k2_tarski(X0,X1)),
inference(theory_normalisation,[status(thm)],[c_168231,c_2613,c_2615]) ).
tcf(c_168240,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : k4_xboole_0(k2_zfmisc_1(X0,k2_tarski(X1,X1)),k2_zfmisc_1(X2,k2_tarski(X3,X1))) = k3_tarski(k2_tarski(k2_zfmisc_1(k4_xboole_0(X0,X2),k2_tarski(X1,X1)),np__0)),
inference(light_normalisation,[status(thm)],[c_168234,c_620]) ).
tcf(c_168241,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : k4_xboole_0(k2_zfmisc_1(k2_tarski(X0,X0),X1),k2_zfmisc_1(k2_tarski(X2,X0),X3)) = k3_tarski(k2_tarski(np__0,k2_zfmisc_1(k2_tarski(X0,X0),k4_xboole_0(X1,X3)))),
inference(light_normalisation,[status(thm)],[c_168227,c_619]) ).
tcf(c_168258,plain,
! [X0: $i] :
( sP9(X0)
| v1_funct_1(X0)
| ~ r2_hidden(X0,sK133(X0)) ),
inference(superposition,[status(thm)],[c_769,c_631]) ).
tcf(c_168259,plain,
! [X0: $i] :
( sP9(X0)
| v1_funct_1(X0)
| r2_hidden(sK92(X0),X0) ),
inference(superposition,[status(thm)],[c_769,c_627]) ).
tcf(c_168260,plain,
! [X0: $i] :
( sP9(X0)
| v1_funct_1(X0)
| m1_subset_1(sK133(X0),X0) ),
inference(superposition,[status(thm)],[c_769,c_626]) ).
tcf(c_168262,plain,
! [X0: $i] :
( sP9(k1_zfmisc_1(X0))
| v1_funct_1(k1_zfmisc_1(X0))
| r1_tarski(sK133(k1_zfmisc_1(X0)),X0) ),
inference(superposition,[status(thm)],[c_769,c_563]) ).
tcf(c_168264,plain,
( sP9(k4_numbers)
| v1_funct_1(k4_numbers)
| v1_int_1(sK133(k4_numbers)) ),
inference(superposition,[status(thm)],[c_769,c_2722]) ).
tcf(c_168265,plain,
( sP9(k1_numbers)
| v1_funct_1(k1_numbers)
| v1_xreal_0(sK133(k1_numbers)) ),
inference(superposition,[status(thm)],[c_769,c_2743]) ).
tcf(c_168266,plain,
! [X0: $i] :
( sP9(k5_finsub_1(X0))
| v1_funct_1(k5_finsub_1(X0))
| v1_finset_1(sK133(k5_finsub_1(X0))) ),
inference(superposition,[status(thm)],[c_769,c_14774]) ).
tcf(c_168296,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| v1_xreal_0(sK228(X0))
| ~ v5_membered(X0) ),
inference(superposition,[status(thm)],[c_1338,c_2573]) ).
tcf(c_168297,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| v1_int_1(sK228(X0))
| ~ v5_membered(X0) ),
inference(superposition,[status(thm)],[c_1338,c_2572]) ).
tcf(c_168310,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| v1_xreal_0(sK236(X0))
| ~ v4_membered(X0) ),
inference(superposition,[status(thm)],[c_1430,c_2716]) ).
tcf(c_168311,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| v1_xcmplx_0(sK236(X0))
| ~ v4_membered(X0) ),
inference(superposition,[status(thm)],[c_1430,c_2715]) ).
tcf(c_168324,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| v1_xcmplx_0(sK244(X0))
| ~ v2_membered(X0) ),
inference(superposition,[status(thm)],[c_1530,c_2750]) ).
tcf(c_168338,plain,
( v5_membered(k1_tops_1(sK278,np__0))
| ~ l1_pre_topc(sK278) ),
inference(superposition,[status(thm)],[c_166760,c_315]) ).
tcf(c_168339,plain,
( v4_membered(k1_tops_1(sK278,np__0))
| ~ l1_pre_topc(sK278) ),
inference(superposition,[status(thm)],[c_166760,c_314]) ).
tcf(c_168340,plain,
( v3_membered(k1_tops_1(sK278,np__0))
| ~ l1_pre_topc(sK278) ),
inference(superposition,[status(thm)],[c_166760,c_313]) ).
tcf(c_168341,plain,
( v2_membered(k1_tops_1(sK278,np__0))
| ~ l1_pre_topc(sK278) ),
inference(superposition,[status(thm)],[c_166760,c_312]) ).
tcf(c_168342,plain,
( v1_membered(k1_tops_1(sK278,np__0))
| ~ l1_pre_topc(sK278) ),
inference(superposition,[status(thm)],[c_166760,c_311]) ).
tcf(c_168343,plain,
( v1_xboole_0(k1_tops_1(sK278,np__0))
| ~ l1_pre_topc(sK278) ),
inference(superposition,[status(thm)],[c_166760,c_310]) ).
tcf(c_168370,plain,
v1_xboole_0(k1_tops_1(sK278,np__0)),
inference(forward_subsumption_resolution,[status(thm)],[c_168343,c_1795]) ).
tcf(c_168371,plain,
v1_membered(k1_tops_1(sK278,np__0)),
inference(forward_subsumption_resolution,[status(thm)],[c_168342,c_1795]) ).
tcf(c_168372,plain,
v2_membered(k1_tops_1(sK278,np__0)),
inference(forward_subsumption_resolution,[status(thm)],[c_168341,c_1795]) ).
tcf(c_168373,plain,
v3_membered(k1_tops_1(sK278,np__0)),
inference(forward_subsumption_resolution,[status(thm)],[c_168340,c_1795]) ).
tcf(c_168374,plain,
v4_membered(k1_tops_1(sK278,np__0)),
inference(forward_subsumption_resolution,[status(thm)],[c_168339,c_1795]) ).
tcf(c_168375,plain,
v5_membered(k1_tops_1(sK278,np__0)),
inference(forward_subsumption_resolution,[status(thm)],[c_168338,c_1795]) ).
tcf(c_168376,plain,
v4_finsub_1(k1_tops_1(sK278,np__0)),
inference(superposition,[status(thm)],[c_168370,c_161211]) ).
tcf(c_168377,plain,
v3_ordinal1(k1_tops_1(sK278,np__0)),
inference(superposition,[status(thm)],[c_168370,c_161210]) ).
tcf(c_168378,plain,
k1_tops_1(sK278,np__0) = np__0,
inference(superposition,[status(thm)],[c_168370,c_600]) ).
tcf(c_168379,plain,
v2_funct_1(k1_tops_1(sK278,np__0)),
inference(superposition,[status(thm)],[c_168370,c_6810]) ).
tcf(c_168380,plain,
v1_realset1(k1_tops_1(sK278,np__0)),
inference(superposition,[status(thm)],[c_168370,c_2002]) ).
tcf(c_168381,plain,
v1_finset_1(k1_tops_1(sK278,np__0)),
inference(superposition,[status(thm)],[c_168370,c_1700]) ).
tcf(c_168387,plain,
v1_relat_1(k1_tops_1(sK278,np__0)),
inference(superposition,[status(thm)],[c_168370,c_582]) ).
tcf(c_168388,plain,
v1_funct_1(k1_tops_1(sK278,np__0)),
inference(superposition,[status(thm)],[c_168370,c_577]) ).
tcf(c_168390,plain,
! [X0: $i] : k4_xboole_0(k1_zfmisc_1(np__0),k2_tarski(np__0,X0)) = np__0,
inference(superposition,[status(thm)],[c_47417,c_48463]) ).
tcf(c_168395,plain,
! [X0: $i,X1: $i] : r1_tarski(np__0,k5_xboole_0(k2_tarski(X0,X0),k2_tarski(X0,X1))),
inference(superposition,[status(thm)],[c_48463,c_2608]) ).
tcf(c_168396,plain,
! [X0: $i,X1: $i] : r1_xboole_0(np__0,k4_xboole_0(k2_tarski(X0,X1),k2_tarski(X0,X0))),
inference(superposition,[status(thm)],[c_48463,c_2447]) ).
tcf(c_168414,plain,
! [X0: $i,X1: $i] : k3_tarski(k2_tarski(np__0,k4_xboole_0(k2_tarski(X0,X1),k2_tarski(X0,X0)))) = k5_xboole_0(k2_tarski(X0,X0),k2_tarski(X0,X1)),
inference(superposition,[status(thm)],[c_48463,c_2624]) ).
tcf(c_168415,plain,
! [X0: $i,X1: $i] : k1_setfam_1(k2_tarski(k2_tarski(X0,X0),k2_tarski(X0,X1))) = k4_xboole_0(k2_tarski(X0,X0),np__0),
inference(superposition,[status(thm)],[c_48463,c_2532]) ).
tcf(c_168419,plain,
! [X0: $i,X1: $i,X2: $i] : k4_xboole_0(k3_tarski(k2_tarski(k2_tarski(X0,X0),X1)),k2_tarski(X0,X2)) = k3_tarski(k2_tarski(np__0,k4_xboole_0(X1,k2_tarski(X0,X2)))),
inference(superposition,[status(thm)],[c_48463,c_483]) ).
tcf(c_168420,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : k3_tarski(k2_tarski(k2_zfmisc_1(np__0,X0),k2_zfmisc_1(k2_tarski(X1,X1),k4_xboole_0(X0,X2)))) = k4_xboole_0(k2_zfmisc_1(k2_tarski(X1,X1),X0),k2_zfmisc_1(k2_tarski(X1,X3),X2)),
inference(superposition,[status(thm)],[c_48463,c_471]) ).
tcf(c_168422,plain,
! [X0: $i,X1: $i] : r1_xboole_0(k4_xboole_0(k2_tarski(X0,X1),k2_tarski(X0,X0)),np__0),
inference(superposition,[status(thm)],[c_48463,c_2447]) ).
tcf(c_168423,plain,
! [X0: $i,X1: $i] : k3_tarski(k2_tarski(k4_xboole_0(k2_tarski(X0,X1),k2_tarski(X0,X0)),np__0)) = k5_xboole_0(k2_tarski(X0,X1),k2_tarski(X0,X0)),
inference(superposition,[status(thm)],[c_48463,c_2624]) ).
tcf(c_168424,plain,
! [X0: $i,X1: $i] : k3_tarski(k2_tarski(k2_tarski(X0,X1),k2_tarski(X0,X0))) = k5_xboole_0(k2_tarski(X0,X1),np__0),
inference(superposition,[status(thm)],[c_48463,c_2606]) ).
tcf(c_168425,plain,
! [X0: $i,X1: $i] :
( ( k2_tarski(X0,X0) = k2_tarski(X0,X1) )
| ( k4_xboole_0(k2_tarski(X0,X1),k2_tarski(X0,X0)) != np__0 ) ),
inference(superposition,[status(thm)],[c_48463,c_1738]) ).
tcf(c_168426,plain,
! [X0: $i,X1: $i] : k3_tarski(k2_tarski(k2_tarski(X0,X1),k2_tarski(X0,X0))) = k3_tarski(k2_tarski(k2_tarski(X0,X1),np__0)),
inference(superposition,[status(thm)],[c_48463,c_486]) ).
tcf(c_168427,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : k3_tarski(k2_tarski(k2_zfmisc_1(k4_xboole_0(X0,X1),k2_tarski(X2,X2)),k2_zfmisc_1(X0,np__0))) = k4_xboole_0(k2_zfmisc_1(X0,k2_tarski(X2,X2)),k2_zfmisc_1(X1,k2_tarski(X2,X3))),
inference(superposition,[status(thm)],[c_48463,c_471]) ).
tcf(c_168428,plain,
! [X0: $i,X1: $i,X2: $i] : k4_xboole_0(k3_tarski(k2_tarski(X0,k2_tarski(X1,X1))),k2_tarski(X1,X2)) = k3_tarski(k2_tarski(k4_xboole_0(X0,k2_tarski(X1,X2)),np__0)),
inference(superposition,[status(thm)],[c_48463,c_483]) ).
tcf(c_168429,plain,
! [X0: $i,X1: $i] : k3_tarski(k2_tarski(k2_tarski(X0,X1),k2_tarski(X0,X0))) = k5_xboole_0(np__0,k2_tarski(X0,X1)),
inference(theory_normalisation,[status(thm)],[c_168424,c_2613,c_2615]) ).
tcf(c_168432,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : k4_xboole_0(k2_zfmisc_1(X0,k2_tarski(X1,X1)),k2_zfmisc_1(X2,k2_tarski(X1,X3))) = k3_tarski(k2_tarski(k2_zfmisc_1(k4_xboole_0(X0,X2),k2_tarski(X1,X1)),np__0)),
inference(light_normalisation,[status(thm)],[c_168427,c_620]) ).
tcf(c_168433,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : k4_xboole_0(k2_zfmisc_1(k2_tarski(X0,X0),X1),k2_zfmisc_1(k2_tarski(X0,X2),X3)) = k3_tarski(k2_tarski(np__0,k2_zfmisc_1(k2_tarski(X0,X0),k4_xboole_0(X1,X3)))),
inference(light_normalisation,[status(thm)],[c_168420,c_619]) ).
tcf(c_168444,plain,
! [X0: $i] :
( v1_finset_1(sK260(X0))
| ~ v1_finset_1(X0) ),
inference(superposition,[status(thm)],[c_1658,c_1673]) ).
tcf(c_168456,plain,
( r1_tarski(np__0,np__0)
| ~ v1_relat_1(np__0) ),
inference(superposition,[status(thm)],[c_2044,c_2067]) ).
tcf(c_168457,plain,
! [X0: $i,X1: $i] :
( ~ v1_relat_1(X0)
| ~ r2_hidden(X0,k7_relat_1(X0,X1)) ),
inference(superposition,[status(thm)],[c_2067,c_538]) ).
tcf(c_168477,plain,
! [X0: $i,X1: $i] : k4_xboole_0(X0,k1_setfam_1(k2_tarski(X0,X1))) = k1_setfam_1(k2_tarski(k4_xboole_0(X0,X1),X0)),
inference(superposition,[status(thm)],[c_2532,c_48896]) ).
tcf(c_168478,plain,
! [X0: $i,X1: $i,X2: $i] : k4_xboole_0(k2_zfmisc_1(X0,X1),k2_zfmisc_1(k4_xboole_0(X0,X2),X1)) = k1_setfam_1(k2_tarski(k2_zfmisc_1(X2,X1),k2_zfmisc_1(X0,X1))),
inference(superposition,[status(thm)],[c_1713,c_48896]) ).
tcf(c_168479,plain,
! [X0: $i,X1: $i,X2: $i] : k4_xboole_0(k2_zfmisc_1(X0,X1),k2_zfmisc_1(X0,k4_xboole_0(X1,X2))) = k1_setfam_1(k2_tarski(k2_zfmisc_1(X0,X2),k2_zfmisc_1(X0,X1))),
inference(superposition,[status(thm)],[c_1714,c_48896]) ).
tcf(c_168480,plain,
! [X0: $i,X1: $i,X2: $i] : k4_xboole_0(X0,k4_xboole_0(k4_xboole_0(X0,X1),X2)) = k1_setfam_1(k2_tarski(k3_tarski(k2_tarski(X1,X2)),X0)),
inference(superposition,[status(thm)],[c_484,c_48896]) ).
tcf(c_168481,plain,
! [X0: $i] : k1_setfam_1(k2_tarski(np__0,X0)) = k4_xboole_0(X0,X0),
inference(superposition,[status(thm)],[c_1740,c_48896]) ).
tcf(c_168483,plain,
! [X0: $i,X1: $i] : k4_xboole_0(k3_tarski(k2_tarski(X0,X1)),k4_xboole_0(X0,X1)) = k1_setfam_1(k2_tarski(X1,k3_tarski(k2_tarski(X0,X1)))),
inference(superposition,[status(thm)],[c_485,c_48896]) ).
tcf(c_168484,plain,
! [X0: $i] : k1_setfam_1(k2_tarski(X0,np__0)) = k4_xboole_0(np__0,np__0),
inference(superposition,[status(thm)],[c_1739,c_48896]) ).
tcf(c_168485,plain,
! [X0: $i,X1: $i] : k1_setfam_1(k2_tarski(k2_tarski(X0,X1),k2_tarski(X1,X1))) = k4_xboole_0(k2_tarski(X1,X1),np__0),
inference(superposition,[status(thm)],[c_48462,c_48896]) ).
tcf(c_168486,plain,
! [X0: $i,X1: $i] : k1_setfam_1(k2_tarski(k2_tarski(X0,X1),k2_tarski(X0,X0))) = k4_xboole_0(k2_tarski(X0,X0),np__0),
inference(superposition,[status(thm)],[c_48463,c_48896]) ).
tcf(c_168487,plain,
! [X0: $i,X1: $i] : k4_xboole_0(X0,k1_setfam_1(k2_tarski(X1,X0))) = k1_setfam_1(k2_tarski(k4_xboole_0(X0,X1),X0)),
inference(superposition,[status(thm)],[c_48896,c_48896]) ).
tcf(c_168488,plain,
! [X0: $i,X1: $i,X2: $i] : r1_tarski(k4_xboole_0(k1_setfam_1(k2_tarski(X0,X1)),X2),X1),
inference(superposition,[status(thm)],[c_48896,c_159540]) ).
tcf(c_168489,plain,
! [X0: $i,X1: $i] : r1_tarski(k1_setfam_1(k2_tarski(X0,X1)),k5_xboole_0(X1,k4_xboole_0(X1,X0))),
inference(superposition,[status(thm)],[c_48896,c_2608]) ).
tcf(c_168490,plain,
! [X0: $i,X1: $i] : r1_xboole_0(k1_setfam_1(k2_tarski(X0,X1)),k4_xboole_0(k4_xboole_0(X1,X0),X1)),
inference(superposition,[status(thm)],[c_48896,c_2447]) ).
tcf(c_168508,plain,
! [X0: $i,X1: $i] : k3_tarski(k2_tarski(k1_setfam_1(k2_tarski(X0,X1)),k4_xboole_0(k4_xboole_0(X1,X0),X1))) = k5_xboole_0(X1,k4_xboole_0(X1,X0)),
inference(superposition,[status(thm)],[c_48896,c_2624]) ).
tcf(c_168509,plain,
! [X0: $i,X1: $i] : k4_xboole_0(X0,k1_setfam_1(k2_tarski(X1,X0))) = k1_setfam_1(k2_tarski(X0,k4_xboole_0(X0,X1))),
inference(superposition,[status(thm)],[c_48896,c_2532]) ).
tcf(c_168510,plain,
! [X0: $i,X1: $i] : r1_xboole_0(k1_setfam_1(k2_tarski(X0,X1)),k4_xboole_0(X1,X0)),
inference(superposition,[status(thm)],[c_48896,c_2450]) ).
tcf(c_168512,plain,
! [X0: $i,X1: $i,X2: $i] : k3_tarski(k2_tarski(k1_setfam_1(k2_tarski(X0,X1)),k4_xboole_0(X2,k4_xboole_0(X1,X0)))) = k4_xboole_0(k3_tarski(k2_tarski(X1,X2)),k4_xboole_0(X1,X0)),
inference(superposition,[status(thm)],[c_48896,c_483]) ).
tcf(c_168513,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : k3_tarski(k2_tarski(k2_zfmisc_1(k1_setfam_1(k2_tarski(X0,X1)),X2),k2_zfmisc_1(X1,k4_xboole_0(X2,X3)))) = k4_xboole_0(k2_zfmisc_1(X1,X2),k2_zfmisc_1(k4_xboole_0(X1,X0),X3)),
inference(superposition,[status(thm)],[c_48896,c_471]) ).
tcf(c_168514,plain,
! [X0: $i,X1: $i] : k1_setfam_1(k2_tarski(X0,X1)) = k1_setfam_1(k2_tarski(X1,X0)),
inference(superposition,[status(thm)],[c_48896,c_2532]) ).
tcf(c_168515,plain,
! [X0: $i,X1: $i] : r1_xboole_0(k4_xboole_0(X0,X1),k1_setfam_1(k2_tarski(X1,X0))),
inference(superposition,[status(thm)],[c_48896,c_164220]) ).
tcf(c_168516,plain,
! [X0: $i,X1: $i] : r1_xboole_0(k4_xboole_0(k4_xboole_0(X0,X1),X0),k1_setfam_1(k2_tarski(X1,X0))),
inference(superposition,[status(thm)],[c_48896,c_2447]) ).
tcf(c_168517,plain,
! [X0: $i,X1: $i] : k3_tarski(k2_tarski(k4_xboole_0(k4_xboole_0(X0,X1),X0),k1_setfam_1(k2_tarski(X1,X0)))) = k5_xboole_0(k4_xboole_0(X0,X1),X0),
inference(superposition,[status(thm)],[c_48896,c_2624]) ).
tcf(c_168518,plain,
! [X0: $i,X1: $i] : k5_xboole_0(k4_xboole_0(X0,X1),k1_setfam_1(k2_tarski(X1,X0))) = k3_tarski(k2_tarski(k4_xboole_0(X0,X1),X0)),
inference(superposition,[status(thm)],[c_48896,c_2606]) ).
tcf(c_168519,plain,
! [X0: $i,X1: $i] : k3_tarski(k2_tarski(k4_xboole_0(X0,X1),k1_setfam_1(k2_tarski(X1,X0)))) = k3_tarski(k2_tarski(k4_xboole_0(X0,X1),X0)),
inference(superposition,[status(thm)],[c_48896,c_486]) ).
tcf(c_168520,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : k3_tarski(k2_tarski(k2_zfmisc_1(k4_xboole_0(X0,X1),X2),k2_zfmisc_1(X0,k1_setfam_1(k2_tarski(X3,X2))))) = k4_xboole_0(k2_zfmisc_1(X0,X2),k2_zfmisc_1(X1,k4_xboole_0(X2,X3))),
inference(superposition,[status(thm)],[c_48896,c_471]) ).
tcf(c_168521,plain,
! [X0: $i,X1: $i,X2: $i] : k3_tarski(k2_tarski(k4_xboole_0(X0,k4_xboole_0(X1,X2)),k1_setfam_1(k2_tarski(X2,X1)))) = k4_xboole_0(k3_tarski(k2_tarski(X0,X1)),k4_xboole_0(X1,X2)),
inference(superposition,[status(thm)],[c_48896,c_483]) ).
tcf(c_168522,plain,
! [X0: $i,X1: $i,X2: $i] : r1_tarski(k1_setfam_1(k2_tarski(X0,k4_xboole_0(X1,X2))),X1),
inference(superposition,[status(thm)],[c_48896,c_159540]) ).
tcf(c_168524,plain,
k4_xboole_0(np__0,np__0) = np__0,
inference(light_normalisation,[status(thm)],[c_168484,c_160609]) ).
tcf(c_168526,plain,
! [X0: $i,X1: $i] : k1_setfam_1(k2_tarski(X0,k4_xboole_0(X0,X1))) = k4_xboole_0(X0,X1),
inference(light_normalisation,[status(thm)],[c_168509,c_48904,c_160600]) ).
tcf(c_168527,plain,
! [X0: $i,X1: $i] : k1_setfam_1(k2_tarski(k4_xboole_0(X0,X1),X0)) = k4_xboole_0(X0,X1),
inference(light_normalisation,[status(thm)],[c_168487,c_48904]) ).
tcf(c_168528,plain,
! [X0: $i] : k4_xboole_0(k2_tarski(X0,X0),np__0) = k2_tarski(X0,X0),
inference(light_normalisation,[status(thm)],[c_168486,c_56156]) ).
tcf(c_168529,plain,
! [X0: $i,X1: $i] : k3_tarski(k2_tarski(k4_xboole_0(k4_xboole_0(X0,X1),X0),k1_setfam_1(k2_tarski(X1,X0)))) = k5_xboole_0(X0,k4_xboole_0(X0,X1)),
inference(theory_normalisation,[status(thm)],[c_168517,c_2613,c_2615]) ).
tcf(c_168554,plain,
! [X0: $i] :
( sP23(k6_partfun1(X0))
| ~ sP24(k6_partfun1(X0)) ),
inference(superposition,[status(thm)],[c_2166,c_2224]) ).
tcf(c_168555,plain,
( sP23(sK448)
| ~ sP24(sK448) ),
inference(superposition,[status(thm)],[c_2877,c_2224]) ).
tcf(c_168556,plain,
( sP23(np__0)
| ~ sP24(np__0) ),
inference(superposition,[status(thm)],[c_159614,c_2224]) ).
tcf(c_168557,plain,
! [X0: $i] :
( sP23(k1_pre_topc(X0))
| ~ l1_pre_topc(X0)
| ~ sP24(k1_pre_topc(X0)) ),
inference(superposition,[status(thm)],[c_160929,c_2224]) ).
tcf(c_168558,plain,
! [X0: $i] :
( sP23(k1_pre_topc(X0))
| ~ l1_struct_0(X0)
| ~ sP24(k1_pre_topc(X0)) ),
inference(superposition,[status(thm)],[c_159830,c_2224]) ).
tcf(c_168559,plain,
! [X0: $i] :
( sP23(k2_relat_1(X0))
| ~ v1_xboole_0(X0)
| ~ sP24(k2_relat_1(X0)) ),
inference(superposition,[status(thm)],[c_159902,c_2224]) ).
tcf(c_168560,plain,
! [X0: $i] :
( sP23(k1_relat_1(X0))
| ~ v1_xboole_0(X0)
| ~ sP24(k1_relat_1(X0)) ),
inference(superposition,[status(thm)],[c_159954,c_2224]) ).
tcf(c_168561,plain,
! [X0: $i] :
( sP23(k4_relat_1(X0))
| ~ v1_xboole_0(X0)
| ~ sP24(k4_relat_1(X0)) ),
inference(superposition,[status(thm)],[c_160743,c_2224]) ).
tcf(c_168562,plain,
( sP23(k1_tops_1(sK39,np__0))
| ~ l1_pre_topc(sK39)
| ~ sP24(k1_tops_1(sK39,np__0)) ),
inference(superposition,[status(thm)],[c_167011,c_2224]) ).
tcf(c_168628,plain,
( v5_membered(k1_tops_1(sK181,np__0))
| ~ l1_pre_topc(sK181) ),
inference(superposition,[status(thm)],[c_166762,c_315]) ).
tcf(c_168629,plain,
( v4_membered(k1_tops_1(sK181,np__0))
| ~ l1_pre_topc(sK181) ),
inference(superposition,[status(thm)],[c_166762,c_314]) ).
tcf(c_168630,plain,
( v3_membered(k1_tops_1(sK181,np__0))
| ~ l1_pre_topc(sK181) ),
inference(superposition,[status(thm)],[c_166762,c_313]) ).
tcf(c_168631,plain,
( v2_membered(k1_tops_1(sK181,np__0))
| ~ l1_pre_topc(sK181) ),
inference(superposition,[status(thm)],[c_166762,c_312]) ).
tcf(c_168632,plain,
( v1_membered(k1_tops_1(sK181,np__0))
| ~ l1_pre_topc(sK181) ),
inference(superposition,[status(thm)],[c_166762,c_311]) ).
tcf(c_168633,plain,
( v1_xboole_0(k1_tops_1(sK181,np__0))
| ~ l1_pre_topc(sK181) ),
inference(superposition,[status(thm)],[c_166762,c_310]) ).
tcf(c_168672,plain,
( v5_membered(k1_tops_1(sK182,np__0))
| ~ l1_pre_topc(sK182) ),
inference(superposition,[status(thm)],[c_166763,c_315]) ).
tcf(c_168673,plain,
( v4_membered(k1_tops_1(sK182,np__0))
| ~ l1_pre_topc(sK182) ),
inference(superposition,[status(thm)],[c_166763,c_314]) ).
tcf(c_168674,plain,
( v3_membered(k1_tops_1(sK182,np__0))
| ~ l1_pre_topc(sK182) ),
inference(superposition,[status(thm)],[c_166763,c_313]) ).
tcf(c_168675,plain,
( v2_membered(k1_tops_1(sK182,np__0))
| ~ l1_pre_topc(sK182) ),
inference(superposition,[status(thm)],[c_166763,c_312]) ).
tcf(c_168676,plain,
( v1_membered(k1_tops_1(sK182,np__0))
| ~ l1_pre_topc(sK182) ),
inference(superposition,[status(thm)],[c_166763,c_311]) ).
tcf(c_168677,plain,
( v1_xboole_0(k1_tops_1(sK182,np__0))
| ~ l1_pre_topc(sK182) ),
inference(superposition,[status(thm)],[c_166763,c_310]) ).
tcf(c_168716,plain,
( v5_membered(k1_tops_1(sK183,np__0))
| ~ l1_pre_topc(sK183) ),
inference(superposition,[status(thm)],[c_166764,c_315]) ).
tcf(c_168717,plain,
( v4_membered(k1_tops_1(sK183,np__0))
| ~ l1_pre_topc(sK183) ),
inference(superposition,[status(thm)],[c_166764,c_314]) ).
tcf(c_168718,plain,
( v3_membered(k1_tops_1(sK183,np__0))
| ~ l1_pre_topc(sK183) ),
inference(superposition,[status(thm)],[c_166764,c_313]) ).
tcf(c_168719,plain,
( v2_membered(k1_tops_1(sK183,np__0))
| ~ l1_pre_topc(sK183) ),
inference(superposition,[status(thm)],[c_166764,c_312]) ).
tcf(c_168720,plain,
( v1_membered(k1_tops_1(sK183,np__0))
| ~ l1_pre_topc(sK183) ),
inference(superposition,[status(thm)],[c_166764,c_311]) ).
tcf(c_168721,plain,
( v1_xboole_0(k1_tops_1(sK183,np__0))
| ~ l1_pre_topc(sK183) ),
inference(superposition,[status(thm)],[c_166764,c_310]) ).
tcf(c_168760,plain,
( v5_membered(k1_tops_1(sK191,np__0))
| ~ l1_pre_topc(sK191) ),
inference(superposition,[status(thm)],[c_166765,c_315]) ).
tcf(c_168761,plain,
( v4_membered(k1_tops_1(sK191,np__0))
| ~ l1_pre_topc(sK191) ),
inference(superposition,[status(thm)],[c_166765,c_314]) ).
tcf(c_168762,plain,
( v3_membered(k1_tops_1(sK191,np__0))
| ~ l1_pre_topc(sK191) ),
inference(superposition,[status(thm)],[c_166765,c_313]) ).
tcf(c_168763,plain,
( v2_membered(k1_tops_1(sK191,np__0))
| ~ l1_pre_topc(sK191) ),
inference(superposition,[status(thm)],[c_166765,c_312]) ).
tcf(c_168764,plain,
( v1_membered(k1_tops_1(sK191,np__0))
| ~ l1_pre_topc(sK191) ),
inference(superposition,[status(thm)],[c_166765,c_311]) ).
tcf(c_168765,plain,
( v1_xboole_0(k1_tops_1(sK191,np__0))
| ~ l1_pre_topc(sK191) ),
inference(superposition,[status(thm)],[c_166765,c_310]) ).
tcf(c_168810,plain,
( v5_membered(k1_tops_1(sK40,np__0))
| ~ l1_pre_topc(sK40) ),
inference(superposition,[status(thm)],[c_166766,c_315]) ).
tcf(c_168811,plain,
( v4_membered(k1_tops_1(sK40,np__0))
| ~ l1_pre_topc(sK40) ),
inference(superposition,[status(thm)],[c_166766,c_314]) ).
tcf(c_168812,plain,
( v3_membered(k1_tops_1(sK40,np__0))
| ~ l1_pre_topc(sK40) ),
inference(superposition,[status(thm)],[c_166766,c_313]) ).
tcf(c_168813,plain,
( v2_membered(k1_tops_1(sK40,np__0))
| ~ l1_pre_topc(sK40) ),
inference(superposition,[status(thm)],[c_166766,c_312]) ).
tcf(c_168814,plain,
( v1_membered(k1_tops_1(sK40,np__0))
| ~ l1_pre_topc(sK40) ),
inference(superposition,[status(thm)],[c_166766,c_311]) ).
tcf(c_168815,plain,
( v1_xboole_0(k1_tops_1(sK40,np__0))
| ~ l1_pre_topc(sK40) ),
inference(superposition,[status(thm)],[c_166766,c_310]) ).
tcf(c_168854,plain,
( v5_membered(k1_tops_1(sK192,np__0))
| ~ l1_pre_topc(sK192) ),
inference(superposition,[status(thm)],[c_166767,c_315]) ).
tcf(c_168855,plain,
( v4_membered(k1_tops_1(sK192,np__0))
| ~ l1_pre_topc(sK192) ),
inference(superposition,[status(thm)],[c_166767,c_314]) ).
tcf(c_168856,plain,
( v3_membered(k1_tops_1(sK192,np__0))
| ~ l1_pre_topc(sK192) ),
inference(superposition,[status(thm)],[c_166767,c_313]) ).
tcf(c_168857,plain,
( v2_membered(k1_tops_1(sK192,np__0))
| ~ l1_pre_topc(sK192) ),
inference(superposition,[status(thm)],[c_166767,c_312]) ).
tcf(c_168858,plain,
( v1_membered(k1_tops_1(sK192,np__0))
| ~ l1_pre_topc(sK192) ),
inference(superposition,[status(thm)],[c_166767,c_311]) ).
tcf(c_168859,plain,
( v1_xboole_0(k1_tops_1(sK192,np__0))
| ~ l1_pre_topc(sK192) ),
inference(superposition,[status(thm)],[c_166767,c_310]) ).
tcf(c_168898,plain,
( v5_membered(k1_tops_1(sK193,np__0))
| ~ l1_pre_topc(sK193) ),
inference(superposition,[status(thm)],[c_166768,c_315]) ).
tcf(c_168899,plain,
( v4_membered(k1_tops_1(sK193,np__0))
| ~ l1_pre_topc(sK193) ),
inference(superposition,[status(thm)],[c_166768,c_314]) ).
tcf(c_168900,plain,
( v3_membered(k1_tops_1(sK193,np__0))
| ~ l1_pre_topc(sK193) ),
inference(superposition,[status(thm)],[c_166768,c_313]) ).
tcf(c_168901,plain,
( v2_membered(k1_tops_1(sK193,np__0))
| ~ l1_pre_topc(sK193) ),
inference(superposition,[status(thm)],[c_166768,c_312]) ).
tcf(c_168902,plain,
( v1_membered(k1_tops_1(sK193,np__0))
| ~ l1_pre_topc(sK193) ),
inference(superposition,[status(thm)],[c_166768,c_311]) ).
tcf(c_168903,plain,
( v1_xboole_0(k1_tops_1(sK193,np__0))
| ~ l1_pre_topc(sK193) ),
inference(superposition,[status(thm)],[c_166768,c_310]) ).
tcf(c_168942,plain,
( v5_membered(k1_tops_1(sK194,np__0))
| ~ l1_pre_topc(sK194) ),
inference(superposition,[status(thm)],[c_166769,c_315]) ).
tcf(c_168943,plain,
( v4_membered(k1_tops_1(sK194,np__0))
| ~ l1_pre_topc(sK194) ),
inference(superposition,[status(thm)],[c_166769,c_314]) ).
tcf(c_168944,plain,
( v3_membered(k1_tops_1(sK194,np__0))
| ~ l1_pre_topc(sK194) ),
inference(superposition,[status(thm)],[c_166769,c_313]) ).
tcf(c_168945,plain,
( v2_membered(k1_tops_1(sK194,np__0))
| ~ l1_pre_topc(sK194) ),
inference(superposition,[status(thm)],[c_166769,c_312]) ).
tcf(c_168946,plain,
( v1_membered(k1_tops_1(sK194,np__0))
| ~ l1_pre_topc(sK194) ),
inference(superposition,[status(thm)],[c_166769,c_311]) ).
tcf(c_168947,plain,
( v1_xboole_0(k1_tops_1(sK194,np__0))
| ~ l1_pre_topc(sK194) ),
inference(superposition,[status(thm)],[c_166769,c_310]) ).
tcf(c_168986,plain,
! [X0: $i] : ~ r2_hidden(X0,sK52(k1_zfmisc_1(X0))),
inference(superposition,[status(thm)],[c_167340,c_538]) ).
tcf(c_168987,plain,
sK52(k1_zfmisc_1(np__0)) = np__0,
inference(superposition,[status(thm)],[c_167340,c_564]) ).
tcf(c_168990,plain,
~ v5_membered(k1_zfmisc_1(k5_numbers)),
inference(superposition,[status(thm)],[c_1340,c_167403]) ).
tcf(c_168991,plain,
~ v4_membered(k1_zfmisc_1(k4_numbers)),
inference(superposition,[status(thm)],[c_1432,c_167403]) ).
tcf(c_168992,plain,
~ v3_membered(k1_zfmisc_1(k3_numbers)),
inference(superposition,[status(thm)],[c_1485,c_167403]) ).
tcf(c_168993,plain,
~ v2_membered(k1_zfmisc_1(k1_numbers)),
inference(superposition,[status(thm)],[c_1532,c_167403]) ).
tcf(c_168994,plain,
~ v1_membered(k1_zfmisc_1(k2_numbers)),
inference(superposition,[status(thm)],[c_3640,c_167403]) ).
tcf(c_168995,plain,
v1_membered(sK229(k1_zfmisc_1(k5_numbers))),
inference(backward_subsumption_resolution,[status(thm)],[c_162671,c_168990]) ).
tcf(c_168996,plain,
v2_membered(sK229(k1_zfmisc_1(k5_numbers))),
inference(backward_subsumption_resolution,[status(thm)],[c_162670,c_168990]) ).
tcf(c_168997,plain,
v3_membered(sK229(k1_zfmisc_1(k5_numbers))),
inference(backward_subsumption_resolution,[status(thm)],[c_162669,c_168990]) ).
tcf(c_168998,plain,
v4_membered(sK229(k1_zfmisc_1(k5_numbers))),
inference(backward_subsumption_resolution,[status(thm)],[c_162668,c_168990]) ).
tcf(c_168999,plain,
v5_membered(sK229(k1_zfmisc_1(k5_numbers))),
inference(backward_subsumption_resolution,[status(thm)],[c_162667,c_168990]) ).
tcf(c_169000,plain,
v4_membered(sK237(k1_zfmisc_1(k4_numbers))),
inference(backward_subsumption_resolution,[status(thm)],[c_162704,c_168991]) ).
tcf(c_169002,plain,
! [X0: $i] : k4_xboole_0(np__0,X0) = k4_xboole_0(np__0,np__0),
inference(superposition,[status(thm)],[c_160609,c_48904]) ).
tcf(c_169003,plain,
! [X0: $i,X1: $i] : k4_xboole_0(X0,k1_setfam_1(k2_tarski(X0,X1))) = k4_xboole_0(X0,X1),
inference(superposition,[status(thm)],[c_2707,c_48904]) ).
tcf(c_169005,plain,
k4_xboole_0(np__0,k1_setfam_1(k1_zfmisc_1(np__0))) = k4_xboole_0(np__0,np__0),
inference(superposition,[status(thm)],[c_47417,c_48904]) ).
tcf(c_169006,plain,
! [X0: $i,X1: $i] : k1_setfam_1(k2_tarski(k1_setfam_1(k2_tarski(X0,X1)),X1)) = k4_xboole_0(X1,k4_xboole_0(X1,X0)),
inference(superposition,[status(thm)],[c_48904,c_48896]) ).
tcf(c_169008,plain,
! [X0: $i,X1: $i] : r1_tarski(k4_xboole_0(X0,X1),k5_xboole_0(X0,k1_setfam_1(k2_tarski(X1,X0)))),
inference(superposition,[status(thm)],[c_48904,c_2608]) ).
tcf(c_169009,plain,
! [X0: $i,X1: $i] : r1_xboole_0(k4_xboole_0(X0,X1),k4_xboole_0(k1_setfam_1(k2_tarski(X1,X0)),X0)),
inference(superposition,[status(thm)],[c_48904,c_2447]) ).
tcf(c_169027,plain,
! [X0: $i,X1: $i] : k3_tarski(k2_tarski(k4_xboole_0(X0,X1),k4_xboole_0(k1_setfam_1(k2_tarski(X1,X0)),X0))) = k5_xboole_0(X0,k1_setfam_1(k2_tarski(X1,X0))),
inference(superposition,[status(thm)],[c_48904,c_2624]) ).
tcf(c_169028,plain,
! [X0: $i,X1: $i] : k1_setfam_1(k2_tarski(X0,k1_setfam_1(k2_tarski(X1,X0)))) = k4_xboole_0(X0,k4_xboole_0(X0,X1)),
inference(superposition,[status(thm)],[c_48904,c_2532]) ).
tcf(c_169031,plain,
! [X0: $i,X1: $i,X2: $i] : k3_tarski(k2_tarski(k4_xboole_0(X0,X1),k4_xboole_0(X2,k1_setfam_1(k2_tarski(X1,X0))))) = k4_xboole_0(k3_tarski(k2_tarski(X0,X2)),k1_setfam_1(k2_tarski(X1,X0))),
inference(superposition,[status(thm)],[c_48904,c_483]) ).
tcf(c_169032,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : k3_tarski(k2_tarski(k2_zfmisc_1(k4_xboole_0(X0,X1),X2),k2_zfmisc_1(X0,k4_xboole_0(X2,X3)))) = k4_xboole_0(k2_zfmisc_1(X0,X2),k2_zfmisc_1(k1_setfam_1(k2_tarski(X1,X0)),X3)),
inference(superposition,[status(thm)],[c_48904,c_471]) ).
tcf(c_169034,plain,
! [X0: $i,X1: $i] : r1_xboole_0(k4_xboole_0(k1_setfam_1(k2_tarski(X0,X1)),X1),k4_xboole_0(X1,X0)),
inference(superposition,[status(thm)],[c_48904,c_2447]) ).
tcf(c_169035,plain,
! [X0: $i,X1: $i] : k3_tarski(k2_tarski(k4_xboole_0(k1_setfam_1(k2_tarski(X0,X1)),X1),k4_xboole_0(X1,X0))) = k5_xboole_0(k1_setfam_1(k2_tarski(X0,X1)),X1),
inference(superposition,[status(thm)],[c_48904,c_2624]) ).
tcf(c_169036,plain,
! [X0: $i,X1: $i] : k5_xboole_0(k1_setfam_1(k2_tarski(X0,X1)),k4_xboole_0(X1,X0)) = k3_tarski(k2_tarski(k1_setfam_1(k2_tarski(X0,X1)),X1)),
inference(superposition,[status(thm)],[c_48904,c_2606]) ).
tcf(c_169037,plain,
! [X0: $i,X1: $i] : k3_tarski(k2_tarski(k1_setfam_1(k2_tarski(X0,X1)),k4_xboole_0(X1,X0))) = k3_tarski(k2_tarski(k1_setfam_1(k2_tarski(X0,X1)),X1)),
inference(superposition,[status(thm)],[c_48904,c_486]) ).
tcf(c_169038,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : k3_tarski(k2_tarski(k2_zfmisc_1(k4_xboole_0(X0,X1),X2),k2_zfmisc_1(X0,k4_xboole_0(X2,X3)))) = k4_xboole_0(k2_zfmisc_1(X0,X2),k2_zfmisc_1(X1,k1_setfam_1(k2_tarski(X3,X2)))),
inference(superposition,[status(thm)],[c_48904,c_471]) ).
tcf(c_169039,plain,
! [X0: $i,X1: $i,X2: $i] : k3_tarski(k2_tarski(k4_xboole_0(X0,k1_setfam_1(k2_tarski(X1,X2))),k4_xboole_0(X2,X1))) = k4_xboole_0(k3_tarski(k2_tarski(X0,X2)),k1_setfam_1(k2_tarski(X1,X2))),
inference(superposition,[status(thm)],[c_48904,c_483]) ).
tcf(c_169043,plain,
! [X0: $i,X1: $i] : r1_tarski(k4_xboole_0(X0,X1),k4_xboole_0(X0,X1)),
inference(light_normalisation,[status(thm)],[c_169008,c_48956]) ).
tcf(c_169045,plain,
! [X0: $i,X1: $i] : k1_setfam_1(k2_tarski(X0,k1_setfam_1(k2_tarski(X1,X0)))) = k1_setfam_1(k2_tarski(X0,X1)),
inference(light_normalisation,[status(thm)],[c_169028,c_2532]) ).
tcf(c_169046,plain,
! [X0: $i,X1: $i] : k5_xboole_0(k4_xboole_0(X0,X1),k1_setfam_1(k2_tarski(X1,X0))) = k3_tarski(k2_tarski(k1_setfam_1(k2_tarski(X1,X0)),X0)),
inference(theory_normalisation,[status(thm)],[c_169036,c_2613,c_2615]) ).
tcf(c_169047,plain,
! [X0: $i,X1: $i] : k3_tarski(k2_tarski(k1_setfam_1(k2_tarski(X0,X1)),X1)) = k3_tarski(k2_tarski(k4_xboole_0(X1,X0),X1)),
inference(light_normalisation,[status(thm)],[c_169046,c_168518]) ).
tcf(c_169048,plain,
! [X0: $i,X1: $i] : k3_tarski(k2_tarski(k4_xboole_0(k1_setfam_1(k2_tarski(X0,X1)),X1),k4_xboole_0(X1,X0))) = k5_xboole_0(X1,k1_setfam_1(k2_tarski(X0,X1))),
inference(theory_normalisation,[status(thm)],[c_169035,c_2613,c_2615]) ).
tcf(c_169049,plain,
! [X0: $i,X1: $i] : k3_tarski(k2_tarski(k4_xboole_0(X0,X1),k4_xboole_0(k1_setfam_1(k2_tarski(X1,X0)),X0))) = k4_xboole_0(X0,X1),
inference(light_normalisation,[status(thm)],[c_169027,c_48956]) ).
tcf(c_169050,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : k4_xboole_0(k2_zfmisc_1(X0,X1),k2_zfmisc_1(X2,k1_setfam_1(k2_tarski(X3,X1)))) = k4_xboole_0(k2_zfmisc_1(X0,X1),k2_zfmisc_1(X2,X3)),
inference(light_normalisation,[status(thm)],[c_169038,c_471]) ).
tcf(c_169051,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : k4_xboole_0(k2_zfmisc_1(X0,X1),k2_zfmisc_1(k1_setfam_1(k2_tarski(X2,X0)),X3)) = k4_xboole_0(k2_zfmisc_1(X0,X1),k2_zfmisc_1(X2,X3)),
inference(light_normalisation,[status(thm)],[c_169032,c_471]) ).
tcf(c_169105,plain,
! [X0: $i,X1: $i] :
( sP24(sK46(X0,X1))
| ( X0 = np__0 )
| ~ v1_relat_1(sK46(X0,X1)) ),
inference(superposition,[status(thm)],[c_101,c_2235]) ).
tcf(c_169106,plain,
( sP24(np__0)
| ~ v1_relat_1(np__0) ),
inference(superposition,[status(thm)],[c_3340,c_2235]) ).
tcf(c_169107,plain,
! [X0: $i] :
( sP24(sK112(X0))
| ( X0 = np__0 )
| ~ v1_relat_1(sK112(X0)) ),
inference(superposition,[status(thm)],[c_691,c_2235]) ).
tcf(c_169108,plain,
! [X0: $i] :
( sP24(sK111(X0))
| ( X0 = np__0 )
| ~ v1_relat_1(sK111(X0)) ),
inference(superposition,[status(thm)],[c_693,c_2235]) ).
tcf(c_169109,plain,
! [X0: $i,X1: $i] :
( sP24(sK115(X0,X1))
| ( X0 = np__0 )
| ~ v1_relat_1(sK115(X0,X1)) ),
inference(superposition,[status(thm)],[c_721,c_2235]) ).
tcf(c_169110,plain,
! [X0: $i] :
( sP24(sK115(X0,np__0))
| ~ v1_relat_1(sK115(X0,np__0)) ),
inference(superposition,[status(thm)],[c_725,c_2235]) ).
tcf(c_169111,plain,
( sP24(sK121)
| ~ v1_relat_1(sK121) ),
inference(superposition,[status(thm)],[c_748,c_2235]) ).
tcf(c_169112,plain,
! [X0: $i] :
( sP24(u2_lattices(X0))
| ~ l2_lattices(X0)
| ~ v1_relat_1(u2_lattices(X0)) ),
inference(superposition,[status(thm)],[c_1019,c_2235]) ).
tcf(c_169113,plain,
! [X0: $i] :
( sP24(u1_lattices(X0))
| ~ l1_lattices(X0)
| ~ v1_relat_1(u1_lattices(X0)) ),
inference(superposition,[status(thm)],[c_1926,c_2235]) ).
tcf(c_169114,plain,
( sP24(sK261)
| ~ v1_relat_1(sK261) ),
inference(superposition,[status(thm)],[c_1666,c_2235]) ).
tcf(c_169115,plain,
! [X0: $i,X1: $i] :
( sP24(sK267(X0,X1))
| ~ m1_subset_1(X1,X0)
| ~ v1_relat_1(sK267(X0,X1)) ),
inference(superposition,[status(thm)],[c_1703,c_2235]) ).
tcf(c_169116,plain,
! [X0: $i,X1: $i] :
( sP24(sK333(X0,X1))
| ~ v1_relat_1(sK333(X0,X1)) ),
inference(superposition,[status(thm)],[c_2115,c_2235]) ).
tcf(c_169117,plain,
! [X0: $i,X1: $i] :
( sP24(sK334(X0,X1))
| ~ v1_relat_1(sK334(X0,X1)) ),
inference(superposition,[status(thm)],[c_2119,c_2235]) ).
tcf(c_169118,plain,
! [X0: $i] :
( sP24(k6_partfun1(X0))
| ~ v1_relat_1(k6_partfun1(X0)) ),
inference(superposition,[status(thm)],[c_2183,c_2235]) ).
tcf(c_169121,plain,
( sP24(sK448)
| ~ v1_relat_1(sK448) ),
inference(superposition,[status(thm)],[c_2876,c_2235]) ).
tcf(c_169122,plain,
! [X0: $i] :
( sP24(u1_group_1(X0))
| ~ l1_group_1(X0)
| ~ v1_relat_1(u1_group_1(X0)) ),
inference(superposition,[status(thm)],[c_2974,c_2235]) ).
tcf(c_169123,plain,
! [X0: $i] :
( sP24(k7_grcat_1(X0))
| ~ l1_struct_0(X0)
| ~ v1_relat_1(k7_grcat_1(X0)) ),
inference(superposition,[status(thm)],[c_3253,c_2235]) ).
tcf(c_169124,plain,
! [X0: $i] :
( sP24(sK522(X0))
| ~ v1_finset_1(X0)
| ~ v1_relat_1(sK522(X0)) ),
inference(superposition,[status(thm)],[c_3332,c_2235]) ).
tcf(c_169125,plain,
( sP24(sK523)
| ~ v1_relat_1(sK523) ),
inference(superposition,[status(thm)],[c_3344,c_2235]) ).
tcf(c_169126,plain,
! [X0: $i] :
( sP24(sK524(X0))
| ~ v1_relat_1(sK524(X0)) ),
inference(superposition,[status(thm)],[c_3349,c_2235]) ).
tcf(c_169127,plain,
( sP24(sK525)
| ~ v1_relat_1(sK525) ),
inference(superposition,[status(thm)],[c_3354,c_2235]) ).
tcf(c_169128,plain,
! [X0: $i] :
( sP24(k4_relat_1(X0))
| ~ v1_xboole_0(X0)
| ~ v1_relat_1(k4_relat_1(X0)) ),
inference(superposition,[status(thm)],[c_160752,c_2235]) ).
tcf(c_169129,plain,
( sP24(u1_rlvect_1(sK530))
| ~ v1_relat_1(u1_rlvect_1(sK530)) ),
inference(superposition,[status(thm)],[c_106451,c_2235]) ).
tcf(c_169130,plain,
! [X0: $i] :
( sP24(k1_pre_topc(X0))
| ~ l1_pre_topc(X0)
| ~ v1_relat_1(k1_pre_topc(X0)) ),
inference(superposition,[status(thm)],[c_160938,c_2235]) ).
tcf(c_169131,plain,
! [X0: $i] :
( sP24(k1_pre_topc(X0))
| ~ l1_struct_0(X0)
| ~ v1_relat_1(k1_pre_topc(X0)) ),
inference(superposition,[status(thm)],[c_159839,c_2235]) ).
tcf(c_169132,plain,
! [X0: $i] :
( sP24(k2_relat_1(X0))
| ~ v1_xboole_0(X0)
| ~ v1_relat_1(k2_relat_1(X0)) ),
inference(superposition,[status(thm)],[c_159911,c_2235]) ).
tcf(c_169133,plain,
! [X0: $i] :
( sP24(k1_relat_1(X0))
| ~ v1_xboole_0(X0)
| ~ v1_relat_1(k1_relat_1(X0)) ),
inference(superposition,[status(thm)],[c_159963,c_2235]) ).
tcf(c_169134,plain,
! [X0: $i] :
( sP24(sK556(X0))
| ~ v1_relat_1(sK556(X0)) ),
inference(superposition,[status(thm)],[c_160711,c_2235]) ).
tcf(c_169135,plain,
( sP24(k1_tops_1(sK39,np__0))
| ~ l1_pre_topc(sK39)
| ~ v1_relat_1(k1_tops_1(sK39,np__0)) ),
inference(superposition,[status(thm)],[c_167020,c_2235]) ).
tcf(c_169136,plain,
sP24(sK525),
inference(forward_subsumption_resolution,[status(thm)],[c_169127,c_3353]) ).
tcf(c_169137,plain,
sP24(sK523),
inference(forward_subsumption_resolution,[status(thm)],[c_169125,c_3343]) ).
tcf(c_169138,plain,
sP24(sK448),
inference(forward_subsumption_resolution,[status(thm)],[c_169121,c_2875]) ).
tcf(c_169139,plain,
sP24(sK261),
inference(forward_subsumption_resolution,[status(thm)],[c_169114,c_1665]) ).
tcf(c_169140,plain,
sP24(sK121),
inference(forward_subsumption_resolution,[status(thm)],[c_169111,c_747]) ).
tcf(c_169141,plain,
sP24(np__0),
inference(forward_subsumption_resolution,[status(thm)],[c_169106,c_3339]) ).
tcf(c_169146,plain,
! [X0: $i] : sP24(sK524(X0)),
inference(forward_subsumption_resolution,[status(thm)],[c_169126,c_3348]) ).
tcf(c_169147,plain,
! [X0: $i] : sP24(k6_partfun1(X0)),
inference(forward_subsumption_resolution,[status(thm)],[c_169118,c_2184]) ).
tcf(c_169154,plain,
! [X0: $i,X1: $i] : sP24(sK334(X0,X1)),
inference(forward_subsumption_resolution,[status(thm)],[c_169117,c_2118]) ).
tcf(c_169155,plain,
! [X0: $i,X1: $i] : sP24(sK333(X0,X1)),
inference(forward_subsumption_resolution,[status(thm)],[c_169116,c_2114]) ).
tcf(c_169156,plain,
! [X0: $i] : sP24(sK115(X0,np__0)),
inference(forward_subsumption_resolution,[status(thm)],[c_169110,c_724]) ).
tcf(c_169228,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,k3_relat_1(sK46(X0,X1)))
| ( X0 = np__0 )
| ~ v1_relat_1(sK46(X0,X1)) ),
inference(superposition,[status(thm)],[c_102,c_2309]) ).
tcf(c_169229,plain,
! [X0: $i] :
( r1_tarski(X0,k3_relat_1(sK111(X0)))
| ( X0 = np__0 )
| ~ v1_relat_1(sK111(X0)) ),
inference(superposition,[status(thm)],[c_688,c_2309]) ).
tcf(c_169230,plain,
! [X0: $i] :
( r1_tarski(X0,k3_relat_1(sK112(X0)))
| ( X0 = np__0 )
| ~ v1_relat_1(sK112(X0)) ),
inference(superposition,[status(thm)],[c_689,c_2309]) ).
tcf(c_169231,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X1,k3_relat_1(sK115(X0,X1)))
| ( X0 = np__0 )
| ~ v1_relat_1(sK115(X0,X1)) ),
inference(superposition,[status(thm)],[c_718,c_2309]) ).
tcf(c_169232,plain,
! [X0: $i] :
( r1_tarski(np__0,k3_relat_1(sK115(X0,np__0)))
| ~ v1_relat_1(sK115(X0,np__0)) ),
inference(superposition,[status(thm)],[c_722,c_2309]) ).
tcf(c_169233,plain,
( r1_tarski(np__0,k3_relat_1(np__0))
| ~ v1_relat_1(np__0) ),
inference(superposition,[status(thm)],[c_730,c_2309]) ).
tcf(c_169234,plain,
! [X0: $i] :
( r1_tarski(X0,k3_relat_1(k6_partfun1(X0)))
| ~ v1_relat_1(k6_partfun1(X0)) ),
inference(superposition,[status(thm)],[c_2203,c_2309]) ).
tcf(c_169235,plain,
! [X0: $i] :
( ~ v1_relat_1(X0)
| ~ r2_hidden(k3_relat_1(X0),k1_relat_1(X0)) ),
inference(superposition,[status(thm)],[c_2309,c_538]) ).
tcf(c_169238,plain,
! [X0: $i] : r1_tarski(X0,k3_relat_1(k6_partfun1(X0))),
inference(forward_subsumption_resolution,[status(thm)],[c_169234,c_2184]) ).
tcf(c_169259,plain,
! [X0: $i] :
( ~ v1_relat_1(X0)
| ~ r2_hidden(k3_relat_1(X0),k2_relat_1(X0)) ),
inference(superposition,[status(thm)],[c_2310,c_538]) ).
tcf(c_169263,plain,
( sP24(k1_tops_1(sK39,np__0))
| ~ l1_pre_topc(sK39) ),
inference(global_subsumption_just,[status(thm)],[c_169135,c_167019,c_169135]) ).
tcf(c_169269,plain,
( sP23(k1_tops_1(sK39,np__0))
| ~ l1_pre_topc(sK39) ),
inference(backward_subsumption_resolution,[status(thm)],[c_168562,c_169263]) ).
tcf(c_169281,plain,
! [X0: $i] : k4_xboole_0(np__0,X0) = k5_xboole_0(np__0,np__0),
inference(superposition,[status(thm)],[c_160609,c_48956]) ).
tcf(c_169282,plain,
! [X0: $i] : k5_xboole_0(X0,np__0) = k4_xboole_0(X0,np__0),
inference(superposition,[status(thm)],[c_160608,c_48956]) ).
tcf(c_169283,plain,
! [X0: $i,X1: $i] : k5_xboole_0(X0,k1_setfam_1(k2_tarski(X0,X1))) = k4_xboole_0(X0,X1),
inference(superposition,[status(thm)],[c_2707,c_48956]) ).
tcf(c_169285,plain,
k5_xboole_0(np__0,k1_setfam_1(k1_zfmisc_1(np__0))) = k4_xboole_0(np__0,np__0),
inference(superposition,[status(thm)],[c_47417,c_48956]) ).
tcf(c_169286,plain,
! [X0: $i,X1: $i] : r1_tarski(k4_xboole_0(X0,k1_setfam_1(k2_tarski(X1,X0))),k4_xboole_0(X0,X1)),
inference(superposition,[status(thm)],[c_48956,c_2608]) ).
tcf(c_169287,plain,
! [X0: $i,X1: $i,X2: $i] : k5_xboole_0(X0,k5_xboole_0(k1_setfam_1(k2_tarski(X1,X0)),X2)) = k5_xboole_0(k4_xboole_0(X0,X1),X2),
inference(superposition,[status(thm)],[c_48956,c_2613]) ).
tcf(c_169288,plain,
! [X0: $i,X1: $i,X2: $i] : k5_xboole_0(X0,k5_xboole_0(X1,k1_setfam_1(k2_tarski(X2,k5_xboole_0(X0,X1))))) = k4_xboole_0(k5_xboole_0(X0,X1),X2),
inference(superposition,[status(thm)],[c_48956,c_2613]) ).
tcf(c_169289,plain,
! [X0: $i] : k1_setfam_1(k2_tarski(X0,np__0)) = k4_xboole_0(np__0,X0),
inference(superposition,[status(thm)],[c_48956,c_160917]) ).
tcf(c_169291,plain,
k5_xboole_0(np__0,np__0) = np__0,
inference(light_normalisation,[status(thm)],[c_169281,c_1739]) ).
tcf(c_169294,plain,
k5_xboole_0(np__0,np__0) = k4_xboole_0(np__0,np__0),
inference(light_normalisation,[status(thm)],[c_169285,c_165500]) ).
tcf(c_169301,plain,
! [X0: $i] :
( ( X0 = np__0 )
| ~ r2_hidden(X0,sK381(X0)) ),
inference(superposition,[status(thm)],[c_2399,c_631]) ).
tcf(c_169303,plain,
! [X0: $i] :
( m1_subset_1(sK381(X0),X0)
| ( X0 = np__0 ) ),
inference(superposition,[status(thm)],[c_2399,c_626]) ).
tcf(c_169305,plain,
! [X0: $i] :
( r1_tarski(sK381(k1_zfmisc_1(X0)),X0)
| ( k1_zfmisc_1(X0) = np__0 ) ),
inference(superposition,[status(thm)],[c_2399,c_563]) ).
tcf(c_169307,plain,
( v1_int_1(sK381(k4_numbers))
| ( np__0 = k4_numbers ) ),
inference(superposition,[status(thm)],[c_2399,c_2722]) ).
tcf(c_169308,plain,
( v1_xreal_0(sK381(k1_numbers))
| ( np__0 = k1_numbers ) ),
inference(superposition,[status(thm)],[c_2399,c_2743]) ).
tcf(c_169309,plain,
! [X0: $i] :
( v1_finset_1(sK381(k5_finsub_1(X0)))
| ( k5_finsub_1(X0) = np__0 ) ),
inference(superposition,[status(thm)],[c_2399,c_14774]) ).
tcf(c_169328,plain,
! [X0: $i] :
( ( X0 = np__0 )
| ~ r2_hidden(X0,sK382(X0)) ),
inference(superposition,[status(thm)],[c_2401,c_631]) ).
tcf(c_169330,plain,
! [X0: $i] :
( m1_subset_1(sK382(X0),X0)
| ( X0 = np__0 ) ),
inference(superposition,[status(thm)],[c_2401,c_626]) ).
tcf(c_169332,plain,
! [X0: $i] :
( r1_tarski(sK382(k1_zfmisc_1(X0)),X0)
| ( k1_zfmisc_1(X0) = np__0 ) ),
inference(superposition,[status(thm)],[c_2401,c_563]) ).
tcf(c_169334,plain,
( v1_int_1(sK382(k4_numbers))
| ( np__0 = k4_numbers ) ),
inference(superposition,[status(thm)],[c_2401,c_2722]) ).
tcf(c_169335,plain,
( v1_xreal_0(sK382(k1_numbers))
| ( np__0 = k1_numbers ) ),
inference(superposition,[status(thm)],[c_2401,c_2743]) ).
tcf(c_169336,plain,
! [X0: $i] :
( v1_finset_1(sK382(k5_finsub_1(X0)))
| ( k5_finsub_1(X0) = np__0 ) ),
inference(superposition,[status(thm)],[c_2401,c_14774]) ).
tcf(c_169355,plain,
! [X0: $i] :
( ( X0 = np__0 )
| ~ r2_hidden(X0,sK383(X0)) ),
inference(superposition,[status(thm)],[c_2403,c_631]) ).
tcf(c_169357,plain,
! [X0: $i] :
( m1_subset_1(sK383(X0),X0)
| ( X0 = np__0 ) ),
inference(superposition,[status(thm)],[c_2403,c_626]) ).
tcf(c_169359,plain,
! [X0: $i] :
( r1_tarski(sK383(k1_zfmisc_1(X0)),X0)
| ( k1_zfmisc_1(X0) = np__0 ) ),
inference(superposition,[status(thm)],[c_2403,c_563]) ).
tcf(c_169361,plain,
( v1_int_1(sK383(k4_numbers))
| ( np__0 = k4_numbers ) ),
inference(superposition,[status(thm)],[c_2403,c_2722]) ).
tcf(c_169362,plain,
( v1_xreal_0(sK383(k1_numbers))
| ( np__0 = k1_numbers ) ),
inference(superposition,[status(thm)],[c_2403,c_2743]) ).
tcf(c_169363,plain,
! [X0: $i] :
( v1_finset_1(sK383(k5_finsub_1(X0)))
| ( k5_finsub_1(X0) = np__0 ) ),
inference(superposition,[status(thm)],[c_2403,c_14774]) ).
tcf(c_169382,plain,
! [X0: $i] :
( ( X0 = np__0 )
| ~ r2_hidden(X0,sK384(X0)) ),
inference(superposition,[status(thm)],[c_2405,c_631]) ).
tcf(c_169384,plain,
! [X0: $i] :
( m1_subset_1(sK384(X0),X0)
| ( X0 = np__0 ) ),
inference(superposition,[status(thm)],[c_2405,c_626]) ).
tcf(c_169386,plain,
! [X0: $i] :
( r1_tarski(sK384(k1_zfmisc_1(X0)),X0)
| ( k1_zfmisc_1(X0) = np__0 ) ),
inference(superposition,[status(thm)],[c_2405,c_563]) ).
tcf(c_169388,plain,
( v1_int_1(sK384(k4_numbers))
| ( np__0 = k4_numbers ) ),
inference(superposition,[status(thm)],[c_2405,c_2722]) ).
tcf(c_169389,plain,
( v1_xreal_0(sK384(k1_numbers))
| ( np__0 = k1_numbers ) ),
inference(superposition,[status(thm)],[c_2405,c_2743]) ).
tcf(c_169390,plain,
! [X0: $i] :
( v1_finset_1(sK384(k5_finsub_1(X0)))
| ( k5_finsub_1(X0) = np__0 ) ),
inference(superposition,[status(thm)],[c_2405,c_14774]) ).
tcf(c_169415,plain,
v2_membered(sK237(k1_zfmisc_1(k4_numbers))),
inference(superposition,[status(thm)],[c_169000,c_162309]) ).
tcf(c_169416,plain,
v1_membered(sK237(k1_zfmisc_1(k4_numbers))),
inference(superposition,[status(thm)],[c_169000,c_162281]) ).
tcf(c_169417,plain,
v3_membered(sK237(k1_zfmisc_1(k4_numbers))),
inference(superposition,[status(thm)],[c_169000,c_1481]) ).
tcf(c_169419,plain,
! [X0: $i] : k5_relat_1(k6_partfun1(X0),k6_partfun1(X0)) = k6_partfun1(X0),
inference(superposition,[status(thm)],[c_47410,c_49266]) ).
tcf(c_169420,plain,
! [X0: $i] : k5_relat_1(k6_partfun1(X0),k6_partfun1(np__0)) = k6_partfun1(np__0),
inference(superposition,[status(thm)],[c_160609,c_49266]) ).
tcf(c_169421,plain,
! [X0: $i] : k5_relat_1(k6_partfun1(np__0),k6_partfun1(X0)) = k6_partfun1(np__0),
inference(superposition,[status(thm)],[c_160608,c_49266]) ).
tcf(c_169422,plain,
! [X0: $i,X1: $i] : k6_partfun1(k1_setfam_1(k2_tarski(X0,X1))) = k5_relat_1(k6_partfun1(X1),k6_partfun1(X0)),
inference(superposition,[status(thm)],[c_2707,c_49266]) ).
tcf(c_169424,plain,
k5_relat_1(k6_partfun1(np__0),k6_partfun1(np__0)) = k6_partfun1(k1_setfam_1(k1_zfmisc_1(np__0))),
inference(superposition,[status(thm)],[c_47417,c_49266]) ).
tcf(c_169425,plain,
! [X0: $i,X1: $i] : sP24(k5_relat_1(k6_partfun1(X0),k6_partfun1(X1))),
inference(superposition,[status(thm)],[c_49266,c_169147]) ).
tcf(c_169426,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(k1_setfam_1(k2_tarski(X0,X1)))
| ( k5_relat_1(k6_partfun1(X0),k6_partfun1(X1)) != np__0 ) ),
inference(superposition,[status(thm)],[c_49266,c_2159]) ).
tcf(c_169427,plain,
! [X0: $i,X1: $i] :
( v4_finsub_1(k1_setfam_1(k2_tarski(X0,X1)))
| ~ v1_xboole_0(k5_relat_1(k6_partfun1(X0),k6_partfun1(X1))) ),
inference(superposition,[status(thm)],[c_49266,c_163232]) ).
tcf(c_169428,plain,
! [X0: $i,X1: $i] :
( v3_ordinal1(k1_setfam_1(k2_tarski(X0,X1)))
| ~ v1_xboole_0(k5_relat_1(k6_partfun1(X0),k6_partfun1(X1))) ),
inference(superposition,[status(thm)],[c_49266,c_163184]) ).
tcf(c_169429,plain,
! [X0: $i,X1: $i] :
( v1_funct_1(k1_setfam_1(k2_tarski(X0,X1)))
| ~ v1_xboole_0(k5_relat_1(k6_partfun1(X0),k6_partfun1(X1))) ),
inference(superposition,[status(thm)],[c_49266,c_161904]) ).
tcf(c_169430,plain,
! [X0: $i,X1: $i] :
( v1_membered(k1_setfam_1(k2_tarski(X0,X1)))
| ~ v1_xboole_0(k5_relat_1(k6_partfun1(X0),k6_partfun1(X1))) ),
inference(superposition,[status(thm)],[c_49266,c_161896]) ).
tcf(c_169431,plain,
! [X0: $i,X1: $i] :
( v2_membered(k1_setfam_1(k2_tarski(X0,X1)))
| ~ v1_xboole_0(k5_relat_1(k6_partfun1(X0),k6_partfun1(X1))) ),
inference(superposition,[status(thm)],[c_49266,c_161887]) ).
tcf(c_169432,plain,
! [X0: $i,X1: $i] :
( v3_membered(k1_setfam_1(k2_tarski(X0,X1)))
| ~ v1_xboole_0(k5_relat_1(k6_partfun1(X0),k6_partfun1(X1))) ),
inference(superposition,[status(thm)],[c_49266,c_161878]) ).
tcf(c_169433,plain,
! [X0: $i,X1: $i] :
( v4_membered(k1_setfam_1(k2_tarski(X0,X1)))
| ~ v1_xboole_0(k5_relat_1(k6_partfun1(X0),k6_partfun1(X1))) ),
inference(superposition,[status(thm)],[c_49266,c_161754]) ).
tcf(c_169434,plain,
! [X0: $i,X1: $i] :
( v5_membered(k1_setfam_1(k2_tarski(X0,X1)))
| ~ v1_xboole_0(k5_relat_1(k6_partfun1(X0),k6_partfun1(X1))) ),
inference(superposition,[status(thm)],[c_49266,c_161743]) ).
tcf(c_169435,plain,
! [X0: $i,X1: $i] :
( v1_finset_1(k1_setfam_1(k2_tarski(X0,X1)))
| ~ v1_xboole_0(k5_relat_1(k6_partfun1(X0),k6_partfun1(X1))) ),
inference(superposition,[status(thm)],[c_49266,c_161735]) ).
tcf(c_169436,plain,
! [X0: $i,X1: $i] :
( v1_realset1(k1_setfam_1(k2_tarski(X0,X1)))
| ~ v1_xboole_0(k5_relat_1(k6_partfun1(X0),k6_partfun1(X1))) ),
inference(superposition,[status(thm)],[c_49266,c_161727]) ).
tcf(c_169437,plain,
! [X0: $i,X1: $i] :
( v2_funct_1(k1_setfam_1(k2_tarski(X0,X1)))
| ~ v1_xboole_0(k5_relat_1(k6_partfun1(X0),k6_partfun1(X1))) ),
inference(superposition,[status(thm)],[c_49266,c_161719]) ).
tcf(c_169438,plain,
! [X0: $i,X1: $i,X2: $i] : k6_partfun1(k3_tarski(k2_tarski(k1_setfam_1(k2_tarski(X0,X1)),X2))) = k1_funct_4(k5_relat_1(k6_partfun1(X0),k6_partfun1(X1)),k6_partfun1(X2)),
inference(superposition,[status(thm)],[c_49266,c_3493]) ).
tcf(c_169439,plain,
! [X0: $i,X1: $i] : k4_relat_1(k5_relat_1(k6_partfun1(X0),k6_partfun1(X1))) = k5_relat_1(k6_partfun1(X0),k6_partfun1(X1)),
inference(superposition,[status(thm)],[c_49266,c_3376]) ).
tcf(c_169440,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(k1_setfam_1(k2_tarski(X0,X1)))
| ~ v1_xboole_0(k5_relat_1(k6_partfun1(X0),k6_partfun1(X1))) ),
inference(superposition,[status(thm)],[c_49266,c_160309]) ).
tcf(c_169441,plain,
! [X0: $i,X1: $i] :
( v1_relat_1(k1_setfam_1(k2_tarski(X0,X1)))
| ~ v1_xboole_0(k5_relat_1(k6_partfun1(X0),k6_partfun1(X1))) ),
inference(superposition,[status(thm)],[c_49266,c_160308]) ).
tcf(c_169442,plain,
! [X0: $i,X1: $i] : k2_relat_1(k5_relat_1(k6_partfun1(X0),k6_partfun1(X1))) = k1_setfam_1(k2_tarski(X0,X1)),
inference(superposition,[status(thm)],[c_49266,c_2204]) ).
tcf(c_169443,plain,
! [X0: $i,X1: $i] : r1_tarski(k5_relat_1(k6_partfun1(X0),k6_partfun1(X1)),k2_zfmisc_1(k1_setfam_1(k2_tarski(X0,X1)),k1_setfam_1(k2_tarski(X0,X1)))),
inference(superposition,[status(thm)],[c_49266,c_2163]) ).
tcf(c_169444,plain,
! [X0: $i,X1: $i] : k1_relat_1(k5_relat_1(k6_partfun1(X0),k6_partfun1(X1))) = k1_setfam_1(k2_tarski(X0,X1)),
inference(superposition,[status(thm)],[c_49266,c_2203]) ).
tcf(c_169445,plain,
! [X0: $i,X1: $i] : m2_relset_1(k5_relat_1(k6_partfun1(X0),k6_partfun1(X1)),k1_setfam_1(k2_tarski(X0,X1)),k1_setfam_1(k2_tarski(X0,X1))),
inference(superposition,[status(thm)],[c_49266,c_3499]) ).
tcf(c_169446,plain,
! [X0: $i,X1: $i] : v1_partfun1(k5_relat_1(k6_partfun1(X0),k6_partfun1(X1)),k1_setfam_1(k2_tarski(X0,X1)),k1_setfam_1(k2_tarski(X0,X1))),
inference(superposition,[status(thm)],[c_49266,c_3498]) ).
tcf(c_169447,plain,
! [X0: $i,X1: $i] : v8_relat_2(k5_relat_1(k6_partfun1(X0),k6_partfun1(X1))),
inference(superposition,[status(thm)],[c_49266,c_3490]) ).
tcf(c_169448,plain,
! [X0: $i,X1: $i] : v3_relat_2(k5_relat_1(k6_partfun1(X0),k6_partfun1(X1))),
inference(superposition,[status(thm)],[c_49266,c_3489]) ).
tcf(c_169449,plain,
! [X0: $i,X1: $i] : v1_relat_1(k5_relat_1(k6_partfun1(X0),k6_partfun1(X1))),
inference(superposition,[status(thm)],[c_49266,c_2184]) ).
tcf(c_169450,plain,
! [X0: $i,X1: $i] : v1_funct_1(k5_relat_1(k6_partfun1(X0),k6_partfun1(X1))),
inference(superposition,[status(thm)],[c_49266,c_2183]) ).
tcf(c_169451,plain,
! [X0: $i,X1: $i] : v2_funct_1(k5_relat_1(k6_partfun1(X0),k6_partfun1(X1))),
inference(superposition,[status(thm)],[c_49266,c_2166]) ).
tcf(c_169452,plain,
! [X0: $i,X1: $i,X2: $i] : k6_partfun1(k3_tarski(k2_tarski(X0,k1_setfam_1(k2_tarski(X1,X2))))) = k1_funct_4(k6_partfun1(X0),k5_relat_1(k6_partfun1(X1),k6_partfun1(X2))),
inference(superposition,[status(thm)],[c_49266,c_3493]) ).
tcf(c_169453,plain,
! [X0: $i] : k5_relat_1(np__0,k6_partfun1(X0)) = np__0,
inference(light_normalisation,[status(thm)],[c_169421,c_2188]) ).
tcf(c_169454,plain,
! [X0: $i] : k5_relat_1(k6_partfun1(X0),np__0) = np__0,
inference(light_normalisation,[status(thm)],[c_169420,c_2188]) ).
tcf(c_169455,plain,
k5_relat_1(np__0,np__0) = np__0,
inference(light_normalisation,[status(thm)],[c_169424,c_2188,c_165500]) ).
tcf(c_169519,plain,
! [X0: $i] :
( ( X0 = np__0 )
| ~ r2_hidden(X0,sK385(X0)) ),
inference(superposition,[status(thm)],[c_2407,c_631]) ).
tcf(c_169521,plain,
! [X0: $i] :
( m1_subset_1(sK385(X0),X0)
| ( X0 = np__0 ) ),
inference(superposition,[status(thm)],[c_2407,c_626]) ).
tcf(c_169523,plain,
! [X0: $i] :
( r1_tarski(sK385(k1_zfmisc_1(X0)),X0)
| ( k1_zfmisc_1(X0) = np__0 ) ),
inference(superposition,[status(thm)],[c_2407,c_563]) ).
tcf(c_169525,plain,
( v1_int_1(sK385(k4_numbers))
| ( np__0 = k4_numbers ) ),
inference(superposition,[status(thm)],[c_2407,c_2722]) ).
tcf(c_169526,plain,
( v1_xreal_0(sK385(k1_numbers))
| ( np__0 = k1_numbers ) ),
inference(superposition,[status(thm)],[c_2407,c_2743]) ).
tcf(c_169527,plain,
! [X0: $i] :
( v1_finset_1(sK385(k5_finsub_1(X0)))
| ( k5_finsub_1(X0) = np__0 ) ),
inference(superposition,[status(thm)],[c_2407,c_14774]) ).
tcf(c_169546,plain,
! [X0: $i] :
( ( X0 = np__0 )
| ~ r2_hidden(X0,sK386(X0)) ),
inference(superposition,[status(thm)],[c_2409,c_631]) ).
tcf(c_169548,plain,
! [X0: $i] :
( m1_subset_1(sK386(X0),X0)
| ( X0 = np__0 ) ),
inference(superposition,[status(thm)],[c_2409,c_626]) ).
tcf(c_169550,plain,
! [X0: $i] :
( r1_tarski(sK386(k1_zfmisc_1(X0)),X0)
| ( k1_zfmisc_1(X0) = np__0 ) ),
inference(superposition,[status(thm)],[c_2409,c_563]) ).
tcf(c_169552,plain,
( v1_int_1(sK386(k4_numbers))
| ( np__0 = k4_numbers ) ),
inference(superposition,[status(thm)],[c_2409,c_2722]) ).
tcf(c_169553,plain,
( v1_xreal_0(sK386(k1_numbers))
| ( np__0 = k1_numbers ) ),
inference(superposition,[status(thm)],[c_2409,c_2743]) ).
tcf(c_169554,plain,
! [X0: $i] :
( v1_finset_1(sK386(k5_finsub_1(X0)))
| ( k5_finsub_1(X0) = np__0 ) ),
inference(superposition,[status(thm)],[c_2409,c_14774]) ).
tcf(c_169573,plain,
! [X0: $i] :
( r1_xboole_0(X0,sK386(X0))
| ( X0 = np__0 ) ),
inference(superposition,[status(thm)],[c_2410,c_2470]) ).
tcf(c_169585,plain,
sP23(sK448),
inference(global_subsumption_just,[status(thm)],[c_168555,c_168555,c_169138]) ).
tcf(c_169588,plain,
sP23(np__0),
inference(global_subsumption_just,[status(thm)],[c_168556,c_3340,c_3339,c_3840,c_4091,c_4094,c_4274]) ).
tcf(c_169591,plain,
r1_tarski(np__0,k3_relat_1(np__0)),
inference(superposition,[status(thm)],[c_2188,c_169238]) ).
tcf(c_169592,plain,
! [X0: $i,X1: $i] : r1_tarski(k1_setfam_1(k2_tarski(X0,X1)),k3_relat_1(k5_relat_1(k6_partfun1(X0),k6_partfun1(X1)))),
inference(superposition,[status(thm)],[c_49266,c_169238]) ).
tcf(c_169593,plain,
! [X0: $i] : ~ r2_hidden(k3_relat_1(k6_partfun1(X0)),X0),
inference(superposition,[status(thm)],[c_169238,c_538]) ).
tcf(c_169600,plain,
~ r2_hidden(k1_zfmisc_1(np__0),k1_zfmisc_1(np__0)),
inference(superposition,[status(thm)],[c_46572,c_167155]) ).
tcf(c_169603,plain,
! [X0: $i,X1: $i,X2: $i] : ~ r2_hidden(k2_zfmisc_1(X0,X1),k2_zfmisc_1(k4_xboole_0(X0,X2),X1)),
inference(superposition,[status(thm)],[c_1713,c_167156]) ).
tcf(c_169604,plain,
! [X0: $i,X1: $i,X2: $i] : ~ r2_hidden(k2_zfmisc_1(X0,X1),k2_zfmisc_1(X0,k4_xboole_0(X1,X2))),
inference(superposition,[status(thm)],[c_1714,c_167156]) ).
tcf(c_169608,plain,
! [X0: $i,X1: $i] : ~ r2_hidden(k3_tarski(k2_tarski(X0,X1)),k4_xboole_0(X0,X1)),
inference(superposition,[status(thm)],[c_485,c_167156]) ).
tcf(c_169609,plain,
~ r2_hidden(np__0,np__0),
inference(superposition,[status(thm)],[c_1739,c_167156]) ).
tcf(c_169610,plain,
! [X0: $i] : ~ r2_hidden(k2_tarski(X0,X0),np__0),
inference(superposition,[status(thm)],[c_48462,c_167156]) ).
tcf(c_169616,plain,
! [X0: $i] : ~ r1_tarski(k1_zfmisc_1(k3_tarski(k1_zfmisc_1(X0))),X0),
inference(superposition,[status(thm)],[c_562,c_167158]) ).
tcf(c_169617,plain,
~ v1_int_1(k1_zfmisc_1(k3_tarski(k4_numbers))),
inference(superposition,[status(thm)],[c_2723,c_167158]) ).
tcf(c_169618,plain,
~ v1_xreal_0(k1_zfmisc_1(k3_tarski(k1_numbers))),
inference(superposition,[status(thm)],[c_2744,c_167158]) ).
tcf(c_169619,plain,
! [X0: $i,X1: $i] : ~ r2_hidden(k1_zfmisc_1(k5_xboole_0(X0,X1)),k2_tarski(k4_xboole_0(X0,X1),k4_xboole_0(X1,X0))),
inference(superposition,[status(thm)],[c_2624,c_167158]) ).
tcf(c_169620,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ~ r2_hidden(k1_zfmisc_1(k4_xboole_0(k2_zfmisc_1(X0,X1),k2_zfmisc_1(X2,X3))),k2_tarski(k2_zfmisc_1(k4_xboole_0(X0,X2),X1),k2_zfmisc_1(X0,k4_xboole_0(X1,X3)))),
inference(superposition,[status(thm)],[c_471,c_167158]) ).
tcf(c_169621,plain,
! [X0: $i,X1: $i,X2: $i] : ~ r2_hidden(k1_zfmisc_1(k2_zfmisc_1(X0,k3_tarski(k2_tarski(X1,X2)))),k2_tarski(k2_zfmisc_1(X0,X1),k2_zfmisc_1(X0,X2))),
inference(superposition,[status(thm)],[c_474,c_167158]) ).
tcf(c_169622,plain,
! [X0: $i,X1: $i,X2: $i] : ~ r2_hidden(k1_zfmisc_1(k2_zfmisc_1(k3_tarski(k2_tarski(X0,X1)),X2)),k2_tarski(k2_zfmisc_1(X0,X2),k2_zfmisc_1(X1,X2))),
inference(superposition,[status(thm)],[c_473,c_167158]) ).
tcf(c_169623,plain,
! [X0: $i,X1: $i,X2: $i] : ~ r2_hidden(k1_zfmisc_1(k3_tarski(k2_tarski(X0,k3_tarski(k2_tarski(X1,X2))))),k2_tarski(k3_tarski(k2_tarski(X0,X1)),X2)),
inference(superposition,[status(thm)],[c_500,c_167158]) ).
tcf(c_169624,plain,
! [X0: $i,X1: $i] : ~ r2_hidden(k1_zfmisc_1(k3_tarski(k2_tarski(X0,X1))),k2_tarski(X0,k4_xboole_0(X1,X0))),
inference(superposition,[status(thm)],[c_486,c_167158]) ).
tcf(c_169625,plain,
! [X0: $i,X1: $i,X2: $i] : ~ r2_hidden(k1_zfmisc_1(k4_xboole_0(k3_tarski(k2_tarski(X0,X1)),X2)),k2_tarski(k4_xboole_0(X0,X2),k4_xboole_0(X1,X2))),
inference(superposition,[status(thm)],[c_483,c_167158]) ).
tcf(c_169626,plain,
! [X0: $i,X1: $i] : ~ r2_hidden(k1_zfmisc_1(k3_tarski(k2_tarski(X0,X1))),k2_tarski(X0,k3_tarski(k2_tarski(X0,X1)))),
inference(superposition,[status(thm)],[c_498,c_167158]) ).
tcf(c_169629,plain,
! [X0: $i] : ~ r2_hidden(k1_zfmisc_1(X0),k1_zfmisc_1(X0)),
inference(superposition,[status(thm)],[c_2507,c_167158]) ).
tcf(c_169630,plain,
! [X0: $i,X1: $i] : ~ r2_hidden(k1_zfmisc_1(k3_tarski(k3_tarski(k2_tarski(X0,X1)))),k2_tarski(k3_tarski(X0),k3_tarski(X1))),
inference(superposition,[status(thm)],[c_2509,c_167158]) ).
tcf(c_169632,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ~ r2_hidden(k1_zfmisc_1(k2_enumset1(X0,X1,X2,X3)),k2_tarski(k2_tarski(X0,X1),k2_tarski(X2,X3))),
inference(superposition,[status(thm)],[c_3627,c_167158]) ).
tcf(c_169633,plain,
! [X0: $i,X1: $i] : ~ r2_hidden(k1_zfmisc_1(X0),k2_tarski(X0,k1_setfam_1(k2_tarski(X0,X1)))),
inference(superposition,[status(thm)],[c_48096,c_167158]) ).
tcf(c_169647,plain,
! [X0: $i,X1: $i] : ~ r2_hidden(k5_xboole_0(X0,X1),k1_setfam_1(k2_tarski(k4_xboole_0(X0,X1),k4_xboole_0(X1,X0)))),
inference(superposition,[status(thm)],[c_2624,c_167159]) ).
tcf(c_169648,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ~ r2_hidden(k4_xboole_0(k2_zfmisc_1(X0,X1),k2_zfmisc_1(X2,X3)),k1_setfam_1(k2_tarski(k2_zfmisc_1(k4_xboole_0(X0,X2),X1),k2_zfmisc_1(X0,k4_xboole_0(X1,X3))))),
inference(superposition,[status(thm)],[c_471,c_167159]) ).
tcf(c_169649,plain,
! [X0: $i,X1: $i,X2: $i] : ~ r2_hidden(k2_zfmisc_1(X0,k3_tarski(k2_tarski(X1,X2))),k1_setfam_1(k2_tarski(k2_zfmisc_1(X0,X1),k2_zfmisc_1(X0,X2)))),
inference(superposition,[status(thm)],[c_474,c_167159]) ).
tcf(c_169650,plain,
! [X0: $i,X1: $i,X2: $i] : ~ r2_hidden(k2_zfmisc_1(k3_tarski(k2_tarski(X0,X1)),X2),k1_setfam_1(k2_tarski(k2_zfmisc_1(X0,X2),k2_zfmisc_1(X1,X2)))),
inference(superposition,[status(thm)],[c_473,c_167159]) ).
tcf(c_169651,plain,
! [X0: $i,X1: $i,X2: $i] : ~ r2_hidden(k3_tarski(k2_tarski(X0,k3_tarski(k2_tarski(X1,X2)))),k1_setfam_1(k2_tarski(k3_tarski(k2_tarski(X0,X1)),X2))),
inference(superposition,[status(thm)],[c_500,c_167159]) ).
tcf(c_169652,plain,
! [X0: $i,X1: $i] : ~ r2_hidden(k3_tarski(k2_tarski(X0,X1)),k1_setfam_1(k2_tarski(X0,k4_xboole_0(X1,X0)))),
inference(superposition,[status(thm)],[c_486,c_167159]) ).
tcf(c_169653,plain,
! [X0: $i,X1: $i,X2: $i] : ~ r2_hidden(k4_xboole_0(k3_tarski(k2_tarski(X0,X1)),X2),k1_setfam_1(k2_tarski(k4_xboole_0(X0,X2),k4_xboole_0(X1,X2)))),
inference(superposition,[status(thm)],[c_483,c_167159]) ).
tcf(c_169654,plain,
! [X0: $i,X1: $i] : ~ r2_hidden(k3_tarski(k2_tarski(X0,X1)),k1_setfam_1(k2_tarski(X0,k3_tarski(k2_tarski(X0,X1))))),
inference(superposition,[status(thm)],[c_498,c_167159]) ).
tcf(c_169655,plain,
! [X0: $i] : ~ r2_hidden(X0,k1_setfam_1(k2_tarski(X0,np__0))),
inference(superposition,[status(thm)],[c_501,c_167159]) ).
tcf(c_169656,plain,
! [X0: $i] : ~ r2_hidden(X0,k1_setfam_1(k2_tarski(X0,X0))),
inference(superposition,[status(thm)],[c_502,c_167159]) ).
tcf(c_169658,plain,
! [X0: $i,X1: $i] : ~ r2_hidden(k3_tarski(k3_tarski(k2_tarski(X0,X1))),k1_setfam_1(k2_tarski(k3_tarski(X0),k3_tarski(X1)))),
inference(superposition,[status(thm)],[c_2509,c_167159]) ).
tcf(c_169659,plain,
~ r2_hidden(np__0,k1_setfam_1(np__0)),
inference(superposition,[status(thm)],[c_2516,c_167159]) ).
tcf(c_169660,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ~ r2_hidden(k2_enumset1(X0,X1,X2,X3),k1_setfam_1(k2_tarski(k2_tarski(X0,X1),k2_tarski(X2,X3)))),
inference(superposition,[status(thm)],[c_3627,c_167159]) ).
tcf(c_169661,plain,
! [X0: $i,X1: $i] : ~ r2_hidden(X0,k1_setfam_1(k2_tarski(X0,k1_setfam_1(k2_tarski(X0,X1))))),
inference(superposition,[status(thm)],[c_48096,c_167159]) ).
tcf(c_169662,plain,
! [X0: $i] : ~ r2_hidden(X0,k1_setfam_1(k2_tarski(np__0,X0))),
inference(superposition,[status(thm)],[c_162072,c_167159]) ).
tcf(c_169663,plain,
~ r2_hidden(k3_tarski(np__0),np__0),
inference(superposition,[status(thm)],[c_2551,c_167159]) ).
tcf(c_169664,plain,
! [X0: $i] : ~ r2_hidden(k3_tarski(k2_tarski(X0,X0)),X0),
inference(superposition,[status(thm)],[c_47410,c_167159]) ).
tcf(c_169665,plain,
! [X0: $i] : ~ r2_hidden(k3_tarski(k2_tarski(X0,np__0)),np__0),
inference(superposition,[status(thm)],[c_160609,c_167159]) ).
tcf(c_169666,plain,
~ r2_hidden(k3_tarski(k1_zfmisc_1(np__0)),np__0),
inference(superposition,[status(thm)],[c_165500,c_167159]) ).
tcf(c_169667,plain,
! [X0: $i] : ~ r2_hidden(k3_tarski(k2_tarski(np__0,X0)),np__0),
inference(superposition,[status(thm)],[c_160608,c_167159]) ).
tcf(c_169673,plain,
! [X0: $i] : ~ r2_hidden(X0,k4_xboole_0(np__0,np__0)),
inference(light_normalisation,[status(thm)],[c_169662,c_160599]) ).
tcf(c_169692,plain,
! [X0: $i] : k1_card_1(k2_tarski(X0,X0)) = k1_card_1(k1_zfmisc_1(np__0)),
inference(superposition,[status(thm)],[c_47417,c_49887]) ).
tcf(c_169700,plain,
! [X0: $i,X1: $i] : m1_subset_1(k1_card_1(k2_tarski(X0,X0)),k1_card_1(k1_zfmisc_1(k2_tarski(X1,X1)))),
inference(superposition,[status(thm)],[c_49887,c_161355]) ).
tcf(c_169701,plain,
! [X0: $i,X1: $i] :
( ( k2_tarski(X1,X1) = np__0 )
| ( k1_card_1(k2_tarski(X0,X0)) != np__0 ) ),
inference(superposition,[status(thm)],[c_49887,c_2806]) ).
tcf(c_169702,plain,
! [X0: $i,X1: $i] : r2_hidden(k1_card_1(k2_tarski(X0,X0)),k1_card_1(k1_zfmisc_1(k2_tarski(X1,X1)))),
inference(superposition,[status(thm)],[c_49887,c_2813]) ).
tcf(c_169703,plain,
! [X0: $i,X1: $i] :
( v1_finset_1(k1_card_1(k2_tarski(X1,X1)))
| ~ v1_finset_1(k2_tarski(X0,X0)) ),
inference(superposition,[status(thm)],[c_49887,c_1661]) ).
tcf(c_169704,plain,
! [X0: $i,X1: $i] :
( v1_finset_1(k2_tarski(X1,X1))
| ~ v1_finset_1(k1_card_1(k2_tarski(X0,X0))) ),
inference(superposition,[status(thm)],[c_49887,c_1660]) ).
tcf(c_169707,plain,
! [X0: $i] : v1_finset_1(k1_card_1(k2_tarski(X0,X0))),
inference(forward_subsumption_resolution,[status(thm)],[c_169703,c_1694]) ).
tcf(c_169708,plain,
! [X0: $i] : k1_card_1(k2_tarski(X0,X0)) != np__0,
inference(forward_subsumption_resolution,[status(thm)],[c_169701,c_161595]) ).
tcf(c_169719,plain,
! [X0: $i,X1: $i] :
( r1_xboole_0(X0,X1)
| ~ r2_hidden(X0,sK392(X0,X1)) ),
inference(superposition,[status(thm)],[c_2475,c_631]) ).
tcf(c_169720,plain,
! [X0: $i,X1: $i] :
( r1_xboole_0(X0,X1)
| r2_hidden(sK92(X0),X0) ),
inference(superposition,[status(thm)],[c_2475,c_627]) ).
tcf(c_169721,plain,
! [X0: $i,X1: $i] :
( r1_xboole_0(X0,X1)
| m1_subset_1(sK392(X0,X1),X0) ),
inference(superposition,[status(thm)],[c_2475,c_626]) ).
tcf(c_169722,plain,
! [X0: $i,X1: $i] :
( r1_xboole_0(X0,X1)
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_2475,c_597]) ).
tcf(c_169723,plain,
! [X0: $i,X1: $i] :
( r1_xboole_0(k1_zfmisc_1(X0),X1)
| r1_tarski(sK392(k1_zfmisc_1(X0),X1),X0) ),
inference(superposition,[status(thm)],[c_2475,c_563]) ).
tcf(c_169725,plain,
! [X0: $i] :
( r1_xboole_0(k4_numbers,X0)
| v1_int_1(sK392(k4_numbers,X0)) ),
inference(superposition,[status(thm)],[c_2475,c_2722]) ).
tcf(c_169726,plain,
! [X0: $i] :
( r1_xboole_0(k1_numbers,X0)
| v1_xreal_0(sK392(k1_numbers,X0)) ),
inference(superposition,[status(thm)],[c_2475,c_2743]) ).
tcf(c_169727,plain,
! [X0: $i,X1: $i] :
( r1_xboole_0(k5_finsub_1(X0),X1)
| v1_finset_1(sK392(k5_finsub_1(X0),X1)) ),
inference(superposition,[status(thm)],[c_2475,c_14774]) ).
tcf(c_169752,plain,
! [X0: $i,X1: $i] :
( r1_xboole_0(X1,X0)
| ~ r2_hidden(X0,sK392(X1,X0)) ),
inference(superposition,[status(thm)],[c_2476,c_631]) ).
tcf(c_169753,plain,
! [X0: $i,X1: $i] :
( r1_xboole_0(X1,X0)
| r2_hidden(sK92(X0),X0) ),
inference(superposition,[status(thm)],[c_2476,c_627]) ).
tcf(c_169754,plain,
! [X0: $i,X1: $i] :
( r1_xboole_0(X0,X1)
| m1_subset_1(sK392(X0,X1),X1) ),
inference(superposition,[status(thm)],[c_2476,c_626]) ).
tcf(c_169755,plain,
! [X0: $i,X1: $i] :
( r1_xboole_0(X1,X0)
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_2476,c_597]) ).
tcf(c_169756,plain,
! [X0: $i,X1: $i] :
( r1_xboole_0(X0,k1_zfmisc_1(X1))
| r1_tarski(sK392(X0,k1_zfmisc_1(X1)),X1) ),
inference(superposition,[status(thm)],[c_2476,c_563]) ).
tcf(c_169758,plain,
! [X0: $i] :
( r1_xboole_0(X0,k4_numbers)
| v1_int_1(sK392(X0,k4_numbers)) ),
inference(superposition,[status(thm)],[c_2476,c_2722]) ).
tcf(c_169759,plain,
! [X0: $i] :
( r1_xboole_0(X0,k1_numbers)
| v1_xreal_0(sK392(X0,k1_numbers)) ),
inference(superposition,[status(thm)],[c_2476,c_2743]) ).
tcf(c_169760,plain,
! [X0: $i,X1: $i] :
( r1_xboole_0(X0,k5_finsub_1(X1))
| v1_finset_1(sK392(X0,k5_finsub_1(X1))) ),
inference(superposition,[status(thm)],[c_2476,c_14774]) ).
tcf(c_169785,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(X0,k5_xboole_0(X1,X2))
| ~ r2_hidden(X0,k2_tarski(k4_xboole_0(X1,X2),k4_xboole_0(X2,X1))) ),
inference(superposition,[status(thm)],[c_2624,c_2513]) ).
tcf(c_169786,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( r1_tarski(X0,k4_xboole_0(k2_zfmisc_1(X1,X3),k2_zfmisc_1(X2,X4)))
| ~ r2_hidden(X0,k2_tarski(k2_zfmisc_1(k4_xboole_0(X1,X2),X3),k2_zfmisc_1(X1,k4_xboole_0(X3,X4)))) ),
inference(superposition,[status(thm)],[c_471,c_2513]) ).
tcf(c_169787,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_tarski(X0,k2_zfmisc_1(X1,k3_tarski(k2_tarski(X2,X3))))
| ~ r2_hidden(X0,k2_tarski(k2_zfmisc_1(X1,X2),k2_zfmisc_1(X1,X3))) ),
inference(superposition,[status(thm)],[c_474,c_2513]) ).
tcf(c_169788,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_tarski(X0,k2_zfmisc_1(k3_tarski(k2_tarski(X1,X3)),X2))
| ~ r2_hidden(X0,k2_tarski(k2_zfmisc_1(X1,X2),k2_zfmisc_1(X3,X2))) ),
inference(superposition,[status(thm)],[c_473,c_2513]) ).
tcf(c_169789,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_tarski(X0,k3_tarski(k2_tarski(X1,k3_tarski(k2_tarski(X2,X3)))))
| ~ r2_hidden(X0,k2_tarski(k3_tarski(k2_tarski(X1,X2)),X3)) ),
inference(superposition,[status(thm)],[c_500,c_2513]) ).
tcf(c_169790,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(X0,k3_tarski(k2_tarski(X1,X2)))
| ~ r2_hidden(X0,k2_tarski(X1,k4_xboole_0(X2,X1))) ),
inference(superposition,[status(thm)],[c_486,c_2513]) ).
tcf(c_169791,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_tarski(X0,k4_xboole_0(k3_tarski(k2_tarski(X1,X3)),X2))
| ~ r2_hidden(X0,k2_tarski(k4_xboole_0(X1,X2),k4_xboole_0(X3,X2))) ),
inference(superposition,[status(thm)],[c_483,c_2513]) ).
tcf(c_169792,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(X0,k3_tarski(k2_tarski(X1,X2)))
| ~ r2_hidden(X0,k2_tarski(X1,k3_tarski(k2_tarski(X1,X2)))) ),
inference(superposition,[status(thm)],[c_498,c_2513]) ).
tcf(c_169793,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,X1)
| ~ r2_hidden(X0,k2_tarski(X1,np__0)) ),
inference(superposition,[status(thm)],[c_501,c_2513]) ).
tcf(c_169794,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,X1)
| ~ r2_hidden(X0,k2_tarski(X1,X1)) ),
inference(superposition,[status(thm)],[c_502,c_2513]) ).
tcf(c_169796,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(X0,k3_tarski(k3_tarski(k2_tarski(X1,X2))))
| ~ r2_hidden(X0,k2_tarski(k3_tarski(X1),k3_tarski(X2))) ),
inference(superposition,[status(thm)],[c_2509,c_2513]) ).
tcf(c_169798,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( r1_tarski(X0,k2_enumset1(X1,X2,X3,X4))
| ~ r2_hidden(X0,k2_tarski(k2_tarski(X1,X2),k2_tarski(X3,X4))) ),
inference(superposition,[status(thm)],[c_3627,c_2513]) ).
tcf(c_169799,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(X0,X1)
| ~ r2_hidden(X0,k2_tarski(X1,k1_setfam_1(k2_tarski(X1,X2)))) ),
inference(superposition,[status(thm)],[c_48096,c_2513]) ).
tcf(c_169800,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,X1)
| ~ r2_hidden(X0,k2_tarski(np__0,X1)) ),
inference(superposition,[status(thm)],[c_162072,c_2513]) ).
tcf(c_169801,plain,
! [X0: $i,X1: $i] :
( ~ r2_hidden(X1,X0)
| ~ r2_hidden(k3_tarski(X0),X1) ),
inference(superposition,[status(thm)],[c_2513,c_538]) ).
tcf(c_169844,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X1,X0)
| ~ r2_hidden(X0,k2_tarski(X1,X1)) ),
inference(superposition,[status(thm)],[c_47410,c_2541]) ).
tcf(c_169848,plain,
! [X0: $i,X1: $i] :
( ~ r2_hidden(X0,X1)
| ~ r2_hidden(X0,k1_setfam_1(X1)) ),
inference(superposition,[status(thm)],[c_2541,c_538]) ).
tcf(c_169854,plain,
v1_finset_1(k1_card_1(k1_zfmisc_1(np__0))),
inference(light_normalisation,[status(thm)],[c_169707,c_169692]) ).
tcf(c_169862,plain,
v5_membered(k5_numbers),
inference(superposition,[status(thm)],[c_570,c_167217]) ).
tcf(c_169863,plain,
v5_membered(k2_relat_1(sK115(k5_numbers,np__0))),
inference(superposition,[status(thm)],[c_723,c_167217]) ).
tcf(c_169865,plain,
! [X0: $i] : v5_membered(k4_xboole_0(k5_numbers,X0)),
inference(superposition,[status(thm)],[c_1734,c_167217]) ).
tcf(c_169866,plain,
! [X0: $i] :
( v5_membered(k7_relat_1(k5_numbers,X0))
| ~ v1_relat_1(k5_numbers) ),
inference(superposition,[status(thm)],[c_2067,c_167217]) ).
tcf(c_169867,plain,
! [X0: $i] :
( v5_membered(k1_setfam_1(X0))
| ~ r2_hidden(k5_numbers,X0) ),
inference(superposition,[status(thm)],[c_2541,c_167217]) ).
tcf(c_169868,plain,
! [X0: $i,X1: $i] : v5_membered(k4_xboole_0(k4_xboole_0(k5_numbers,X0),X1)),
inference(superposition,[status(thm)],[c_159540,c_167217]) ).
tcf(c_169869,plain,
v5_membered(k1_setfam_1(k1_zfmisc_1(k5_numbers))),
inference(superposition,[status(thm)],[c_160376,c_167217]) ).
tcf(c_169870,plain,
! [X0: $i] : v5_membered(k1_setfam_1(k2_tarski(k5_numbers,X0))),
inference(superposition,[status(thm)],[c_160602,c_167217]) ).
tcf(c_169871,plain,
! [X0: $i] : v5_membered(k1_setfam_1(k2_tarski(X0,k5_numbers))),
inference(superposition,[status(thm)],[c_162385,c_167217]) ).
tcf(c_169883,plain,
v3_membered(k5_numbers),
inference(superposition,[status(thm)],[c_169862,c_161773]) ).
tcf(c_169886,plain,
v4_membered(k5_numbers),
inference(superposition,[status(thm)],[c_169862,c_1411]) ).
tcf(c_169898,plain,
! [X0: $i] : v3_membered(k4_xboole_0(k5_numbers,X0)),
inference(superposition,[status(thm)],[c_169865,c_161773]) ).
tcf(c_169899,plain,
! [X0: $i] : v2_membered(k4_xboole_0(k5_numbers,X0)),
inference(superposition,[status(thm)],[c_169865,c_161657]) ).
tcf(c_169900,plain,
! [X0: $i] : v1_membered(k4_xboole_0(k5_numbers,X0)),
inference(superposition,[status(thm)],[c_169865,c_161629]) ).
tcf(c_169901,plain,
! [X0: $i] : v4_membered(k4_xboole_0(k5_numbers,X0)),
inference(superposition,[status(thm)],[c_169865,c_1411]) ).
tcf(c_169906,plain,
v3_membered(k1_setfam_1(k1_zfmisc_1(k5_numbers))),
inference(superposition,[status(thm)],[c_169869,c_161773]) ).
tcf(c_169907,plain,
v2_membered(k1_setfam_1(k1_zfmisc_1(k5_numbers))),
inference(superposition,[status(thm)],[c_169869,c_161657]) ).
tcf(c_169908,plain,
v1_membered(k1_setfam_1(k1_zfmisc_1(k5_numbers))),
inference(superposition,[status(thm)],[c_169869,c_161629]) ).
tcf(c_169909,plain,
v4_membered(k1_setfam_1(k1_zfmisc_1(k5_numbers))),
inference(superposition,[status(thm)],[c_169869,c_1411]) ).
tcf(c_169910,plain,
! [X0: $i] : v3_membered(k1_setfam_1(k2_tarski(X0,k5_numbers))),
inference(superposition,[status(thm)],[c_48896,c_169898]) ).
tcf(c_169911,plain,
! [X0: $i] : v3_membered(k1_setfam_1(k2_tarski(k5_numbers,X0))),
inference(superposition,[status(thm)],[c_2532,c_169898]) ).
tcf(c_169912,plain,
! [X0: $i,X1: $i] : v3_membered(k4_xboole_0(k4_xboole_0(k5_numbers,X0),X1)),
inference(superposition,[status(thm)],[c_484,c_169898]) ).
tcf(c_169921,plain,
! [X0: $i] : v2_membered(k1_setfam_1(k2_tarski(X0,k5_numbers))),
inference(superposition,[status(thm)],[c_48896,c_169899]) ).
tcf(c_169922,plain,
! [X0: $i] : v2_membered(k1_setfam_1(k2_tarski(k5_numbers,X0))),
inference(superposition,[status(thm)],[c_2532,c_169899]) ).
tcf(c_169923,plain,
! [X0: $i,X1: $i] : v2_membered(k4_xboole_0(k4_xboole_0(k5_numbers,X0),X1)),
inference(superposition,[status(thm)],[c_484,c_169899]) ).
tcf(c_169931,plain,
! [X0: $i] : v1_membered(k1_setfam_1(k2_tarski(X0,k5_numbers))),
inference(superposition,[status(thm)],[c_48896,c_169900]) ).
tcf(c_169932,plain,
! [X0: $i] : v1_membered(k1_setfam_1(k2_tarski(k5_numbers,X0))),
inference(superposition,[status(thm)],[c_2532,c_169900]) ).
tcf(c_169933,plain,
! [X0: $i,X1: $i] : v1_membered(k4_xboole_0(k4_xboole_0(k5_numbers,X0),X1)),
inference(superposition,[status(thm)],[c_484,c_169900]) ).
tcf(c_169940,plain,
! [X0: $i] : v4_membered(k1_setfam_1(k2_tarski(X0,k5_numbers))),
inference(superposition,[status(thm)],[c_48896,c_169901]) ).
tcf(c_169941,plain,
! [X0: $i] : v4_membered(k1_setfam_1(k2_tarski(k5_numbers,X0))),
inference(superposition,[status(thm)],[c_2532,c_169901]) ).
tcf(c_169942,plain,
! [X0: $i,X1: $i] : v4_membered(k4_xboole_0(k4_xboole_0(k5_numbers,X0),X1)),
inference(superposition,[status(thm)],[c_484,c_169901]) ).
tcf(c_169954,plain,
! [X0: $i,X1: $i,X2: $i] : k5_xboole_0(X0,k5_xboole_0(X1,k5_xboole_0(X2,k3_tarski(k2_tarski(X0,k5_xboole_0(X1,X2)))))) = k1_setfam_1(k2_tarski(k5_xboole_0(X1,X2),X0)),
inference(superposition,[status(thm)],[c_2613,c_50414]) ).
tcf(c_169955,plain,
! [X0: $i] : k5_xboole_0(X0,k3_tarski(k2_tarski(X0,np__0))) = k1_setfam_1(k2_tarski(np__0,X0)),
inference(superposition,[status(thm)],[c_160917,c_50414]) ).
tcf(c_169956,plain,
! [X0: $i,X1: $i] : k5_xboole_0(k4_xboole_0(X0,X1),k5_xboole_0(k4_xboole_0(X1,X0),k5_xboole_0(X0,X1))) = k1_setfam_1(k2_tarski(k4_xboole_0(X1,X0),k4_xboole_0(X0,X1))),
inference(superposition,[status(thm)],[c_2624,c_50414]) ).
tcf(c_169957,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : k5_xboole_0(k2_zfmisc_1(k4_xboole_0(X0,X1),X2),k5_xboole_0(k2_zfmisc_1(X0,k4_xboole_0(X2,X3)),k4_xboole_0(k2_zfmisc_1(X0,X2),k2_zfmisc_1(X1,X3)))) = k1_setfam_1(k2_tarski(k2_zfmisc_1(X0,k4_xboole_0(X2,X3)),k2_zfmisc_1(k4_xboole_0(X0,X1),X2))),
inference(superposition,[status(thm)],[c_471,c_50414]) ).
tcf(c_169958,plain,
! [X0: $i,X1: $i,X2: $i] : k5_xboole_0(k2_zfmisc_1(X0,X1),k5_xboole_0(k2_zfmisc_1(X0,X2),k2_zfmisc_1(X0,k3_tarski(k2_tarski(X1,X2))))) = k1_setfam_1(k2_tarski(k2_zfmisc_1(X0,X2),k2_zfmisc_1(X0,X1))),
inference(superposition,[status(thm)],[c_474,c_50414]) ).
tcf(c_169959,plain,
! [X0: $i,X1: $i,X2: $i] : k5_xboole_0(k2_zfmisc_1(X0,X1),k5_xboole_0(k2_zfmisc_1(X2,X1),k2_zfmisc_1(k3_tarski(k2_tarski(X0,X2)),X1))) = k1_setfam_1(k2_tarski(k2_zfmisc_1(X2,X1),k2_zfmisc_1(X0,X1))),
inference(superposition,[status(thm)],[c_473,c_50414]) ).
tcf(c_169960,plain,
! [X0: $i,X1: $i,X2: $i] : k5_xboole_0(k3_tarski(k2_tarski(X0,X1)),k5_xboole_0(X2,k3_tarski(k2_tarski(X0,k3_tarski(k2_tarski(X1,X2)))))) = k1_setfam_1(k2_tarski(X2,k3_tarski(k2_tarski(X0,X1)))),
inference(superposition,[status(thm)],[c_500,c_50414]) ).
tcf(c_169961,plain,
! [X0: $i,X1: $i] : k5_xboole_0(X0,k5_xboole_0(k4_xboole_0(X1,X0),k3_tarski(k2_tarski(X0,X1)))) = k1_setfam_1(k2_tarski(k4_xboole_0(X1,X0),X0)),
inference(superposition,[status(thm)],[c_486,c_50414]) ).
tcf(c_169962,plain,
! [X0: $i,X1: $i,X2: $i] : k5_xboole_0(k4_xboole_0(X0,X1),k5_xboole_0(k4_xboole_0(X2,X1),k4_xboole_0(k3_tarski(k2_tarski(X0,X2)),X1))) = k1_setfam_1(k2_tarski(k4_xboole_0(X2,X1),k4_xboole_0(X0,X1))),
inference(superposition,[status(thm)],[c_483,c_50414]) ).
tcf(c_169963,plain,
! [X0: $i,X1: $i] : k5_xboole_0(X0,k5_xboole_0(k3_tarski(k2_tarski(X0,X1)),k3_tarski(k2_tarski(X0,X1)))) = k1_setfam_1(k2_tarski(k3_tarski(k2_tarski(X0,X1)),X0)),
inference(superposition,[status(thm)],[c_498,c_50414]) ).
tcf(c_169964,plain,
! [X0: $i] : k5_xboole_0(X0,k5_xboole_0(np__0,X0)) = k1_setfam_1(k2_tarski(np__0,X0)),
inference(superposition,[status(thm)],[c_501,c_50414]) ).
tcf(c_169965,plain,
! [X0: $i] : k5_xboole_0(X0,k5_xboole_0(X0,X0)) = k1_setfam_1(k2_tarski(X0,X0)),
inference(superposition,[status(thm)],[c_502,c_50414]) ).
tcf(c_169966,plain,
! [X0: $i,X1: $i] : k5_xboole_0(k3_tarski(X0),k5_xboole_0(k3_tarski(X1),k3_tarski(k3_tarski(k2_tarski(X0,X1))))) = k1_setfam_1(k2_tarski(k3_tarski(X1),k3_tarski(X0))),
inference(superposition,[status(thm)],[c_2509,c_50414]) ).
tcf(c_169967,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : k5_xboole_0(k2_tarski(X0,X1),k5_xboole_0(k2_tarski(X2,X3),k2_enumset1(X0,X1,X2,X3))) = k1_setfam_1(k2_tarski(k2_tarski(X2,X3),k2_tarski(X0,X1))),
inference(superposition,[status(thm)],[c_3627,c_50414]) ).
tcf(c_169968,plain,
! [X0: $i,X1: $i] : k5_xboole_0(X0,k5_xboole_0(k1_setfam_1(k2_tarski(X0,X1)),X0)) = k1_setfam_1(k2_tarski(k1_setfam_1(k2_tarski(X0,X1)),X0)),
inference(superposition,[status(thm)],[c_48096,c_50414]) ).
tcf(c_169969,plain,
! [X0: $i] : k5_xboole_0(np__0,k5_xboole_0(X0,X0)) = k1_setfam_1(k2_tarski(X0,np__0)),
inference(superposition,[status(thm)],[c_162072,c_50414]) ).
tcf(c_169970,plain,
! [X0: $i,X1: $i] : k5_xboole_0(X0,k5_xboole_0(X1,k3_tarski(k2_tarski(X1,X0)))) = k1_setfam_1(k2_tarski(X1,X0)),
inference(superposition,[status(thm)],[c_2707,c_50414]) ).
tcf(c_169972,plain,
k5_xboole_0(np__0,k5_xboole_0(np__0,k3_tarski(k1_zfmisc_1(np__0)))) = k1_setfam_1(k1_zfmisc_1(np__0)),
inference(superposition,[status(thm)],[c_47417,c_50414]) ).
tcf(c_169973,plain,
! [X0: $i,X1: $i] : r1_tarski(k4_xboole_0(X0,k5_xboole_0(X1,k3_tarski(k2_tarski(X0,X1)))),k1_setfam_1(k2_tarski(X1,X0))),
inference(superposition,[status(thm)],[c_50414,c_2608]) ).
tcf(c_169974,plain,
! [X0: $i,X1: $i,X2: $i] : k5_xboole_0(X0,k5_xboole_0(k5_xboole_0(X1,k3_tarski(k2_tarski(X0,X1))),X2)) = k5_xboole_0(k1_setfam_1(k2_tarski(X1,X0)),X2),
inference(superposition,[status(thm)],[c_50414,c_2613]) ).
tcf(c_169975,plain,
! [X0: $i,X1: $i,X2: $i] : k5_xboole_0(X0,k5_xboole_0(X1,k5_xboole_0(X2,k3_tarski(k2_tarski(k5_xboole_0(X0,X1),X2))))) = k1_setfam_1(k2_tarski(X2,k5_xboole_0(X0,X1))),
inference(superposition,[status(thm)],[c_50414,c_2613]) ).
tcf(c_169976,plain,
! [X0: $i] : k5_xboole_0(X0,k3_tarski(k2_tarski(np__0,X0))) = k1_setfam_1(k2_tarski(X0,np__0)),
inference(superposition,[status(thm)],[c_50414,c_160917]) ).
tcf(c_169981,plain,
k5_xboole_0(np__0,k5_xboole_0(np__0,k3_tarski(k1_zfmisc_1(np__0)))) = np__0,
inference(light_normalisation,[status(thm)],[c_169972,c_165500]) ).
tcf(c_169983,plain,
! [X0: $i,X1: $i] : k5_xboole_0(X0,k5_xboole_0(X0,k1_setfam_1(k2_tarski(X0,X1)))) = k1_setfam_1(k2_tarski(k1_setfam_1(k2_tarski(X0,X1)),X0)),
inference(theory_normalisation,[status(thm)],[c_169968,c_2613,c_2615]) ).
tcf(c_169984,plain,
! [X0: $i,X1: $i] : k1_setfam_1(k2_tarski(k1_setfam_1(k2_tarski(X0,X1)),X0)) = k5_xboole_0(X0,k4_xboole_0(X0,X1)),
inference(light_normalisation,[status(thm)],[c_169983,c_169283]) ).
tcf(c_169985,plain,
! [X0: $i,X1: $i,X2: $i] : k5_xboole_0(X0,k5_xboole_0(X1,k5_xboole_0(k3_tarski(k2_tarski(X0,X1)),X2))) = k5_xboole_0(k1_setfam_1(k2_tarski(X1,X0)),X2),
inference(theory_normalisation,[status(thm)],[c_169974,c_2613,c_2615]) ).
tcf(c_169986,plain,
! [X0: $i,X1: $i] : k5_xboole_0(X0,k5_xboole_0(X1,k5_xboole_0(k4_xboole_0(X0,X1),k4_xboole_0(X1,X0)))) = k1_setfam_1(k2_tarski(k4_xboole_0(X1,X0),k4_xboole_0(X0,X1))),
inference(theory_normalisation,[status(thm)],[c_169956,c_2613,c_2615]) ).
tcf(c_170006,plain,
! [X0: $i] :
( r1_tarski(k2_finseq_1(X0),k5_numbers)
| ~ v4_ordinal2(X0) ),
inference(superposition,[status(thm)],[c_2552,c_541]) ).
tcf(c_170007,plain,
! [X0: $i] :
( v5_membered(k2_finseq_1(X0))
| ~ v4_ordinal2(X0) ),
inference(superposition,[status(thm)],[c_2552,c_1404]) ).
tcf(c_170008,plain,
! [X0: $i] :
( v4_membered(k2_finseq_1(X0))
| ~ v4_ordinal2(X0) ),
inference(superposition,[status(thm)],[c_2552,c_1403]) ).
tcf(c_170009,plain,
! [X0: $i] :
( v3_membered(k2_finseq_1(X0))
| ~ v4_ordinal2(X0) ),
inference(superposition,[status(thm)],[c_2552,c_1402]) ).
tcf(c_170010,plain,
! [X0: $i] :
( v2_membered(k2_finseq_1(X0))
| ~ v4_ordinal2(X0) ),
inference(superposition,[status(thm)],[c_2552,c_1401]) ).
tcf(c_170011,plain,
! [X0: $i] :
( v1_membered(k2_finseq_1(X0))
| ~ v4_ordinal2(X0) ),
inference(superposition,[status(thm)],[c_2552,c_1400]) ).
tcf(c_170030,plain,
! [X0: $i] :
( v4_finsub_1(X0)
| m1_subset_1(sK407(X0),X0) ),
inference(global_subsumption_just,[status(thm)],[c_2585,c_2585,c_161211]) ).
tcf(c_170037,plain,
( v4_finsub_1(k1_zfmisc_1(k5_numbers))
| v5_membered(sK407(k1_zfmisc_1(k5_numbers))) ),
inference(superposition,[status(thm)],[c_170030,c_1404]) ).
tcf(c_170038,plain,
( v4_finsub_1(k1_zfmisc_1(k5_numbers))
| v4_membered(sK407(k1_zfmisc_1(k5_numbers))) ),
inference(superposition,[status(thm)],[c_170030,c_1403]) ).
tcf(c_170039,plain,
( v4_finsub_1(k1_zfmisc_1(k5_numbers))
| v3_membered(sK407(k1_zfmisc_1(k5_numbers))) ),
inference(superposition,[status(thm)],[c_170030,c_1402]) ).
tcf(c_170040,plain,
( v4_finsub_1(k1_zfmisc_1(k5_numbers))
| v2_membered(sK407(k1_zfmisc_1(k5_numbers))) ),
inference(superposition,[status(thm)],[c_170030,c_1401]) ).
tcf(c_170041,plain,
( v4_finsub_1(k1_zfmisc_1(k5_numbers))
| v1_membered(sK407(k1_zfmisc_1(k5_numbers))) ),
inference(superposition,[status(thm)],[c_170030,c_1400]) ).
tcf(c_170042,plain,
( v4_finsub_1(k1_zfmisc_1(k4_numbers))
| v4_membered(sK407(k1_zfmisc_1(k4_numbers))) ),
inference(superposition,[status(thm)],[c_170030,c_1480]) ).
tcf(c_170043,plain,
( v4_finsub_1(k1_zfmisc_1(k4_numbers))
| v3_membered(sK407(k1_zfmisc_1(k4_numbers))) ),
inference(superposition,[status(thm)],[c_170030,c_1479]) ).
tcf(c_170044,plain,
( v4_finsub_1(k1_zfmisc_1(k4_numbers))
| v2_membered(sK407(k1_zfmisc_1(k4_numbers))) ),
inference(superposition,[status(thm)],[c_170030,c_1478]) ).
tcf(c_170045,plain,
( v4_finsub_1(k1_zfmisc_1(k4_numbers))
| v1_membered(sK407(k1_zfmisc_1(k4_numbers))) ),
inference(superposition,[status(thm)],[c_170030,c_1477]) ).
tcf(c_170046,plain,
( v4_finsub_1(k1_zfmisc_1(k3_numbers))
| v3_membered(sK407(k1_zfmisc_1(k3_numbers))) ),
inference(superposition,[status(thm)],[c_170030,c_1510]) ).
tcf(c_170047,plain,
( v4_finsub_1(k1_zfmisc_1(k3_numbers))
| v2_membered(sK407(k1_zfmisc_1(k3_numbers))) ),
inference(superposition,[status(thm)],[c_170030,c_1509]) ).
tcf(c_170048,plain,
( v4_finsub_1(k1_zfmisc_1(k3_numbers))
| v1_membered(sK407(k1_zfmisc_1(k3_numbers))) ),
inference(superposition,[status(thm)],[c_170030,c_1508]) ).
tcf(c_170049,plain,
( v4_finsub_1(k1_zfmisc_1(k1_numbers))
| v2_membered(sK407(k1_zfmisc_1(k1_numbers))) ),
inference(superposition,[status(thm)],[c_170030,c_1556]) ).
tcf(c_170050,plain,
( v4_finsub_1(k1_zfmisc_1(k1_numbers))
| v1_membered(sK407(k1_zfmisc_1(k1_numbers))) ),
inference(superposition,[status(thm)],[c_170030,c_1555]) ).
tcf(c_170052,plain,
( v4_finsub_1(k4_numbers)
| v1_int_1(sK407(k4_numbers)) ),
inference(superposition,[status(thm)],[c_170030,c_2724]) ).
tcf(c_170053,plain,
( v4_finsub_1(k1_zfmisc_1(k2_numbers))
| v1_membered(sK407(k1_zfmisc_1(k2_numbers))) ),
inference(superposition,[status(thm)],[c_170030,c_3643]) ).
tcf(c_170056,plain,
! [X0: $i] :
( v4_finsub_1(X0)
| m1_subset_1(sK406(X0),X0) ),
inference(global_subsumption_just,[status(thm)],[c_2586,c_2586,c_161211]) ).
tcf(c_170063,plain,
( v4_finsub_1(k1_zfmisc_1(k5_numbers))
| v5_membered(sK406(k1_zfmisc_1(k5_numbers))) ),
inference(superposition,[status(thm)],[c_170056,c_1404]) ).
tcf(c_170064,plain,
( v4_finsub_1(k1_zfmisc_1(k5_numbers))
| v4_membered(sK406(k1_zfmisc_1(k5_numbers))) ),
inference(superposition,[status(thm)],[c_170056,c_1403]) ).
tcf(c_170065,plain,
( v4_finsub_1(k1_zfmisc_1(k5_numbers))
| v3_membered(sK406(k1_zfmisc_1(k5_numbers))) ),
inference(superposition,[status(thm)],[c_170056,c_1402]) ).
tcf(c_170066,plain,
( v4_finsub_1(k1_zfmisc_1(k5_numbers))
| v2_membered(sK406(k1_zfmisc_1(k5_numbers))) ),
inference(superposition,[status(thm)],[c_170056,c_1401]) ).
tcf(c_170067,plain,
( v4_finsub_1(k1_zfmisc_1(k5_numbers))
| v1_membered(sK406(k1_zfmisc_1(k5_numbers))) ),
inference(superposition,[status(thm)],[c_170056,c_1400]) ).
tcf(c_170068,plain,
( v4_finsub_1(k1_zfmisc_1(k4_numbers))
| v4_membered(sK406(k1_zfmisc_1(k4_numbers))) ),
inference(superposition,[status(thm)],[c_170056,c_1480]) ).
tcf(c_170069,plain,
( v4_finsub_1(k1_zfmisc_1(k4_numbers))
| v3_membered(sK406(k1_zfmisc_1(k4_numbers))) ),
inference(superposition,[status(thm)],[c_170056,c_1479]) ).
tcf(c_170070,plain,
( v4_finsub_1(k1_zfmisc_1(k4_numbers))
| v2_membered(sK406(k1_zfmisc_1(k4_numbers))) ),
inference(superposition,[status(thm)],[c_170056,c_1478]) ).
tcf(c_170071,plain,
( v4_finsub_1(k1_zfmisc_1(k4_numbers))
| v1_membered(sK406(k1_zfmisc_1(k4_numbers))) ),
inference(superposition,[status(thm)],[c_170056,c_1477]) ).
tcf(c_170072,plain,
( v4_finsub_1(k1_zfmisc_1(k3_numbers))
| v3_membered(sK406(k1_zfmisc_1(k3_numbers))) ),
inference(superposition,[status(thm)],[c_170056,c_1510]) ).
tcf(c_170073,plain,
( v4_finsub_1(k1_zfmisc_1(k3_numbers))
| v2_membered(sK406(k1_zfmisc_1(k3_numbers))) ),
inference(superposition,[status(thm)],[c_170056,c_1509]) ).
tcf(c_170074,plain,
( v4_finsub_1(k1_zfmisc_1(k3_numbers))
| v1_membered(sK406(k1_zfmisc_1(k3_numbers))) ),
inference(superposition,[status(thm)],[c_170056,c_1508]) ).
tcf(c_170075,plain,
( v4_finsub_1(k1_zfmisc_1(k1_numbers))
| v2_membered(sK406(k1_zfmisc_1(k1_numbers))) ),
inference(superposition,[status(thm)],[c_170056,c_1556]) ).
tcf(c_170076,plain,
( v4_finsub_1(k1_zfmisc_1(k1_numbers))
| v1_membered(sK406(k1_zfmisc_1(k1_numbers))) ),
inference(superposition,[status(thm)],[c_170056,c_1555]) ).
tcf(c_170078,plain,
( v4_finsub_1(k4_numbers)
| v1_int_1(sK406(k4_numbers)) ),
inference(superposition,[status(thm)],[c_170056,c_2724]) ).
tcf(c_170079,plain,
( v4_finsub_1(k1_zfmisc_1(k2_numbers))
| v1_membered(sK406(k1_zfmisc_1(k2_numbers))) ),
inference(superposition,[status(thm)],[c_170056,c_3643]) ).
tcf(c_170082,plain,
! [X0: $i] :
( v4_finsub_1(X0)
| m1_subset_1(sK409(X0),X0) ),
inference(global_subsumption_just,[status(thm)],[c_2588,c_2588,c_161211]) ).
tcf(c_170089,plain,
( v4_finsub_1(k1_zfmisc_1(k5_numbers))
| v5_membered(sK409(k1_zfmisc_1(k5_numbers))) ),
inference(superposition,[status(thm)],[c_170082,c_1404]) ).
tcf(c_170090,plain,
( v4_finsub_1(k1_zfmisc_1(k5_numbers))
| v4_membered(sK409(k1_zfmisc_1(k5_numbers))) ),
inference(superposition,[status(thm)],[c_170082,c_1403]) ).
tcf(c_170091,plain,
( v4_finsub_1(k1_zfmisc_1(k5_numbers))
| v3_membered(sK409(k1_zfmisc_1(k5_numbers))) ),
inference(superposition,[status(thm)],[c_170082,c_1402]) ).
tcf(c_170092,plain,
( v4_finsub_1(k1_zfmisc_1(k5_numbers))
| v2_membered(sK409(k1_zfmisc_1(k5_numbers))) ),
inference(superposition,[status(thm)],[c_170082,c_1401]) ).
tcf(c_170093,plain,
( v4_finsub_1(k1_zfmisc_1(k5_numbers))
| v1_membered(sK409(k1_zfmisc_1(k5_numbers))) ),
inference(superposition,[status(thm)],[c_170082,c_1400]) ).
tcf(c_170094,plain,
( v4_finsub_1(k1_zfmisc_1(k4_numbers))
| v4_membered(sK409(k1_zfmisc_1(k4_numbers))) ),
inference(superposition,[status(thm)],[c_170082,c_1480]) ).
tcf(c_170095,plain,
( v4_finsub_1(k1_zfmisc_1(k4_numbers))
| v3_membered(sK409(k1_zfmisc_1(k4_numbers))) ),
inference(superposition,[status(thm)],[c_170082,c_1479]) ).
tcf(c_170096,plain,
( v4_finsub_1(k1_zfmisc_1(k4_numbers))
| v2_membered(sK409(k1_zfmisc_1(k4_numbers))) ),
inference(superposition,[status(thm)],[c_170082,c_1478]) ).
tcf(c_170097,plain,
( v4_finsub_1(k1_zfmisc_1(k4_numbers))
| v1_membered(sK409(k1_zfmisc_1(k4_numbers))) ),
inference(superposition,[status(thm)],[c_170082,c_1477]) ).
tcf(c_170098,plain,
( v4_finsub_1(k1_zfmisc_1(k3_numbers))
| v3_membered(sK409(k1_zfmisc_1(k3_numbers))) ),
inference(superposition,[status(thm)],[c_170082,c_1510]) ).
tcf(c_170099,plain,
( v4_finsub_1(k1_zfmisc_1(k3_numbers))
| v2_membered(sK409(k1_zfmisc_1(k3_numbers))) ),
inference(superposition,[status(thm)],[c_170082,c_1509]) ).
tcf(c_170100,plain,
( v4_finsub_1(k1_zfmisc_1(k3_numbers))
| v1_membered(sK409(k1_zfmisc_1(k3_numbers))) ),
inference(superposition,[status(thm)],[c_170082,c_1508]) ).
tcf(c_170101,plain,
( v4_finsub_1(k1_zfmisc_1(k1_numbers))
| v2_membered(sK409(k1_zfmisc_1(k1_numbers))) ),
inference(superposition,[status(thm)],[c_170082,c_1556]) ).
tcf(c_170102,plain,
( v4_finsub_1(k1_zfmisc_1(k1_numbers))
| v1_membered(sK409(k1_zfmisc_1(k1_numbers))) ),
inference(superposition,[status(thm)],[c_170082,c_1555]) ).
tcf(c_170104,plain,
( v4_finsub_1(k4_numbers)
| v1_int_1(sK409(k4_numbers)) ),
inference(superposition,[status(thm)],[c_170082,c_2724]) ).
tcf(c_170105,plain,
( v4_finsub_1(k1_zfmisc_1(k2_numbers))
| v1_membered(sK409(k1_zfmisc_1(k2_numbers))) ),
inference(superposition,[status(thm)],[c_170082,c_3643]) ).
tcf(c_170114,plain,
v3_membered(k2_relat_1(sK115(k5_numbers,np__0))),
inference(superposition,[status(thm)],[c_169863,c_161773]) ).
tcf(c_170115,plain,
v2_membered(k2_relat_1(sK115(k5_numbers,np__0))),
inference(superposition,[status(thm)],[c_169863,c_161657]) ).
tcf(c_170116,plain,
v1_membered(k2_relat_1(sK115(k5_numbers,np__0))),
inference(superposition,[status(thm)],[c_169863,c_161629]) ).
tcf(c_170117,plain,
v4_membered(k2_relat_1(sK115(k5_numbers,np__0))),
inference(superposition,[status(thm)],[c_169863,c_1411]) ).
tcf(c_170165,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X2 )
| ( k2_tarski(X0,X0) != k2_tarski(X1,X2) ) ),
inference(superposition,[status(thm)],[c_2707,c_50665]) ).
tcf(c_170167,plain,
! [X0: $i] :
( ( X0 = np__0 )
| ( k2_tarski(X0,X0) != k1_zfmisc_1(np__0) ) ),
inference(superposition,[status(thm)],[c_47417,c_50665]) ).
tcf(c_170173,plain,
! [X0: $i] :
( v4_finsub_1(X0)
| m1_subset_1(sK408(X0),X0) ),
inference(global_subsumption_just,[status(thm)],[c_2589,c_2589,c_161211]) ).
tcf(c_170180,plain,
( v4_finsub_1(k1_zfmisc_1(k5_numbers))
| v5_membered(sK408(k1_zfmisc_1(k5_numbers))) ),
inference(superposition,[status(thm)],[c_170173,c_1404]) ).
tcf(c_170181,plain,
( v4_finsub_1(k1_zfmisc_1(k5_numbers))
| v4_membered(sK408(k1_zfmisc_1(k5_numbers))) ),
inference(superposition,[status(thm)],[c_170173,c_1403]) ).
tcf(c_170182,plain,
( v4_finsub_1(k1_zfmisc_1(k5_numbers))
| v3_membered(sK408(k1_zfmisc_1(k5_numbers))) ),
inference(superposition,[status(thm)],[c_170173,c_1402]) ).
tcf(c_170183,plain,
( v4_finsub_1(k1_zfmisc_1(k5_numbers))
| v2_membered(sK408(k1_zfmisc_1(k5_numbers))) ),
inference(superposition,[status(thm)],[c_170173,c_1401]) ).
tcf(c_170184,plain,
( v4_finsub_1(k1_zfmisc_1(k5_numbers))
| v1_membered(sK408(k1_zfmisc_1(k5_numbers))) ),
inference(superposition,[status(thm)],[c_170173,c_1400]) ).
tcf(c_170185,plain,
( v4_finsub_1(k1_zfmisc_1(k4_numbers))
| v4_membered(sK408(k1_zfmisc_1(k4_numbers))) ),
inference(superposition,[status(thm)],[c_170173,c_1480]) ).
tcf(c_170186,plain,
( v4_finsub_1(k1_zfmisc_1(k4_numbers))
| v3_membered(sK408(k1_zfmisc_1(k4_numbers))) ),
inference(superposition,[status(thm)],[c_170173,c_1479]) ).
tcf(c_170187,plain,
( v4_finsub_1(k1_zfmisc_1(k4_numbers))
| v2_membered(sK408(k1_zfmisc_1(k4_numbers))) ),
inference(superposition,[status(thm)],[c_170173,c_1478]) ).
tcf(c_170188,plain,
( v4_finsub_1(k1_zfmisc_1(k4_numbers))
| v1_membered(sK408(k1_zfmisc_1(k4_numbers))) ),
inference(superposition,[status(thm)],[c_170173,c_1477]) ).
tcf(c_170189,plain,
( v4_finsub_1(k1_zfmisc_1(k3_numbers))
| v3_membered(sK408(k1_zfmisc_1(k3_numbers))) ),
inference(superposition,[status(thm)],[c_170173,c_1510]) ).
tcf(c_170190,plain,
( v4_finsub_1(k1_zfmisc_1(k3_numbers))
| v2_membered(sK408(k1_zfmisc_1(k3_numbers))) ),
inference(superposition,[status(thm)],[c_170173,c_1509]) ).
tcf(c_170191,plain,
( v4_finsub_1(k1_zfmisc_1(k3_numbers))
| v1_membered(sK408(k1_zfmisc_1(k3_numbers))) ),
inference(superposition,[status(thm)],[c_170173,c_1508]) ).
tcf(c_170192,plain,
( v4_finsub_1(k1_zfmisc_1(k1_numbers))
| v2_membered(sK408(k1_zfmisc_1(k1_numbers))) ),
inference(superposition,[status(thm)],[c_170173,c_1556]) ).
tcf(c_170193,plain,
( v4_finsub_1(k1_zfmisc_1(k1_numbers))
| v1_membered(sK408(k1_zfmisc_1(k1_numbers))) ),
inference(superposition,[status(thm)],[c_170173,c_1555]) ).
tcf(c_170195,plain,
( v4_finsub_1(k4_numbers)
| v1_int_1(sK408(k4_numbers)) ),
inference(superposition,[status(thm)],[c_170173,c_2724]) ).
tcf(c_170196,plain,
( v4_finsub_1(k1_zfmisc_1(k2_numbers))
| v1_membered(sK408(k1_zfmisc_1(k2_numbers))) ),
inference(superposition,[status(thm)],[c_170173,c_3643]) ).
tcf(c_170199,plain,
! [X0: $i] :
( v4_finsub_1(X0)
| m1_subset_1(sK411(X0),X0) ),
inference(global_subsumption_just,[status(thm)],[c_2591,c_2591,c_161211]) ).
tcf(c_170206,plain,
( v4_finsub_1(k1_zfmisc_1(k5_numbers))
| v5_membered(sK411(k1_zfmisc_1(k5_numbers))) ),
inference(superposition,[status(thm)],[c_170199,c_1404]) ).
tcf(c_170207,plain,
( v4_finsub_1(k1_zfmisc_1(k5_numbers))
| v4_membered(sK411(k1_zfmisc_1(k5_numbers))) ),
inference(superposition,[status(thm)],[c_170199,c_1403]) ).
tcf(c_170208,plain,
( v4_finsub_1(k1_zfmisc_1(k5_numbers))
| v3_membered(sK411(k1_zfmisc_1(k5_numbers))) ),
inference(superposition,[status(thm)],[c_170199,c_1402]) ).
tcf(c_170209,plain,
( v4_finsub_1(k1_zfmisc_1(k5_numbers))
| v2_membered(sK411(k1_zfmisc_1(k5_numbers))) ),
inference(superposition,[status(thm)],[c_170199,c_1401]) ).
tcf(c_170210,plain,
( v4_finsub_1(k1_zfmisc_1(k5_numbers))
| v1_membered(sK411(k1_zfmisc_1(k5_numbers))) ),
inference(superposition,[status(thm)],[c_170199,c_1400]) ).
tcf(c_170211,plain,
( v4_finsub_1(k1_zfmisc_1(k4_numbers))
| v4_membered(sK411(k1_zfmisc_1(k4_numbers))) ),
inference(superposition,[status(thm)],[c_170199,c_1480]) ).
tcf(c_170212,plain,
( v4_finsub_1(k1_zfmisc_1(k4_numbers))
| v3_membered(sK411(k1_zfmisc_1(k4_numbers))) ),
inference(superposition,[status(thm)],[c_170199,c_1479]) ).
tcf(c_170213,plain,
( v4_finsub_1(k1_zfmisc_1(k4_numbers))
| v2_membered(sK411(k1_zfmisc_1(k4_numbers))) ),
inference(superposition,[status(thm)],[c_170199,c_1478]) ).
tcf(c_170214,plain,
( v4_finsub_1(k1_zfmisc_1(k4_numbers))
| v1_membered(sK411(k1_zfmisc_1(k4_numbers))) ),
inference(superposition,[status(thm)],[c_170199,c_1477]) ).
tcf(c_170215,plain,
( v4_finsub_1(k1_zfmisc_1(k3_numbers))
| v3_membered(sK411(k1_zfmisc_1(k3_numbers))) ),
inference(superposition,[status(thm)],[c_170199,c_1510]) ).
tcf(c_170216,plain,
( v4_finsub_1(k1_zfmisc_1(k3_numbers))
| v2_membered(sK411(k1_zfmisc_1(k3_numbers))) ),
inference(superposition,[status(thm)],[c_170199,c_1509]) ).
tcf(c_170217,plain,
( v4_finsub_1(k1_zfmisc_1(k3_numbers))
| v1_membered(sK411(k1_zfmisc_1(k3_numbers))) ),
inference(superposition,[status(thm)],[c_170199,c_1508]) ).
tcf(c_170218,plain,
( v4_finsub_1(k1_zfmisc_1(k1_numbers))
| v2_membered(sK411(k1_zfmisc_1(k1_numbers))) ),
inference(superposition,[status(thm)],[c_170199,c_1556]) ).
tcf(c_170219,plain,
( v4_finsub_1(k1_zfmisc_1(k1_numbers))
| v1_membered(sK411(k1_zfmisc_1(k1_numbers))) ),
inference(superposition,[status(thm)],[c_170199,c_1555]) ).
tcf(c_170221,plain,
( v4_finsub_1(k4_numbers)
| v1_int_1(sK411(k4_numbers)) ),
inference(superposition,[status(thm)],[c_170199,c_2724]) ).
tcf(c_170222,plain,
( v4_finsub_1(k1_zfmisc_1(k2_numbers))
| v1_membered(sK411(k1_zfmisc_1(k2_numbers))) ),
inference(superposition,[status(thm)],[c_170199,c_3643]) ).
tcf(c_170225,plain,
! [X0: $i] :
( v4_finsub_1(X0)
| m1_subset_1(sK410(X0),X0) ),
inference(global_subsumption_just,[status(thm)],[c_2592,c_2592,c_161211]) ).
tcf(c_170232,plain,
( v4_finsub_1(k1_zfmisc_1(k5_numbers))
| v5_membered(sK410(k1_zfmisc_1(k5_numbers))) ),
inference(superposition,[status(thm)],[c_170225,c_1404]) ).
tcf(c_170233,plain,
( v4_finsub_1(k1_zfmisc_1(k5_numbers))
| v4_membered(sK410(k1_zfmisc_1(k5_numbers))) ),
inference(superposition,[status(thm)],[c_170225,c_1403]) ).
tcf(c_170234,plain,
( v4_finsub_1(k1_zfmisc_1(k5_numbers))
| v3_membered(sK410(k1_zfmisc_1(k5_numbers))) ),
inference(superposition,[status(thm)],[c_170225,c_1402]) ).
tcf(c_170235,plain,
( v4_finsub_1(k1_zfmisc_1(k5_numbers))
| v2_membered(sK410(k1_zfmisc_1(k5_numbers))) ),
inference(superposition,[status(thm)],[c_170225,c_1401]) ).
tcf(c_170236,plain,
( v4_finsub_1(k1_zfmisc_1(k5_numbers))
| v1_membered(sK410(k1_zfmisc_1(k5_numbers))) ),
inference(superposition,[status(thm)],[c_170225,c_1400]) ).
tcf(c_170237,plain,
( v4_finsub_1(k1_zfmisc_1(k4_numbers))
| v4_membered(sK410(k1_zfmisc_1(k4_numbers))) ),
inference(superposition,[status(thm)],[c_170225,c_1480]) ).
tcf(c_170238,plain,
( v4_finsub_1(k1_zfmisc_1(k4_numbers))
| v3_membered(sK410(k1_zfmisc_1(k4_numbers))) ),
inference(superposition,[status(thm)],[c_170225,c_1479]) ).
tcf(c_170239,plain,
( v4_finsub_1(k1_zfmisc_1(k4_numbers))
| v2_membered(sK410(k1_zfmisc_1(k4_numbers))) ),
inference(superposition,[status(thm)],[c_170225,c_1478]) ).
tcf(c_170240,plain,
( v4_finsub_1(k1_zfmisc_1(k4_numbers))
| v1_membered(sK410(k1_zfmisc_1(k4_numbers))) ),
inference(superposition,[status(thm)],[c_170225,c_1477]) ).
tcf(c_170241,plain,
( v4_finsub_1(k1_zfmisc_1(k3_numbers))
| v3_membered(sK410(k1_zfmisc_1(k3_numbers))) ),
inference(superposition,[status(thm)],[c_170225,c_1510]) ).
tcf(c_170242,plain,
( v4_finsub_1(k1_zfmisc_1(k3_numbers))
| v2_membered(sK410(k1_zfmisc_1(k3_numbers))) ),
inference(superposition,[status(thm)],[c_170225,c_1509]) ).
tcf(c_170243,plain,
( v4_finsub_1(k1_zfmisc_1(k3_numbers))
| v1_membered(sK410(k1_zfmisc_1(k3_numbers))) ),
inference(superposition,[status(thm)],[c_170225,c_1508]) ).
tcf(c_170244,plain,
( v4_finsub_1(k1_zfmisc_1(k1_numbers))
| v2_membered(sK410(k1_zfmisc_1(k1_numbers))) ),
inference(superposition,[status(thm)],[c_170225,c_1556]) ).
tcf(c_170245,plain,
( v4_finsub_1(k1_zfmisc_1(k1_numbers))
| v1_membered(sK410(k1_zfmisc_1(k1_numbers))) ),
inference(superposition,[status(thm)],[c_170225,c_1555]) ).
tcf(c_170247,plain,
( v4_finsub_1(k4_numbers)
| v1_int_1(sK410(k4_numbers)) ),
inference(superposition,[status(thm)],[c_170225,c_2724]) ).
tcf(c_170248,plain,
( v4_finsub_1(k1_zfmisc_1(k2_numbers))
| v1_membered(sK410(k1_zfmisc_1(k2_numbers))) ),
inference(superposition,[status(thm)],[c_170225,c_3643]) ).
tcf(c_170277,plain,
( v4_finsub_1(k4_numbers)
| v1_xreal_0(sK407(k4_numbers)) ),
inference(superposition,[status(thm)],[c_170052,c_2716]) ).
tcf(c_170278,plain,
( v4_finsub_1(k4_numbers)
| v1_xcmplx_0(sK407(k4_numbers)) ),
inference(superposition,[status(thm)],[c_170052,c_2715]) ).
tcf(c_170287,plain,
( v4_finsub_1(k4_numbers)
| v1_xreal_0(sK406(k4_numbers)) ),
inference(superposition,[status(thm)],[c_170078,c_2716]) ).
tcf(c_170288,plain,
( v4_finsub_1(k4_numbers)
| v1_xcmplx_0(sK406(k4_numbers)) ),
inference(superposition,[status(thm)],[c_170078,c_2715]) ).
tcf(c_170297,plain,
( v4_finsub_1(k4_numbers)
| v1_xreal_0(sK409(k4_numbers)) ),
inference(superposition,[status(thm)],[c_170104,c_2716]) ).
tcf(c_170298,plain,
( v4_finsub_1(k4_numbers)
| v1_xcmplx_0(sK409(k4_numbers)) ),
inference(superposition,[status(thm)],[c_170104,c_2715]) ).
tcf(c_170313,plain,
( v4_finsub_1(k4_numbers)
| v1_xreal_0(sK408(k4_numbers)) ),
inference(superposition,[status(thm)],[c_170195,c_2716]) ).
tcf(c_170314,plain,
( v4_finsub_1(k4_numbers)
| v1_xcmplx_0(sK408(k4_numbers)) ),
inference(superposition,[status(thm)],[c_170195,c_2715]) ).
tcf(c_170323,plain,
( v4_finsub_1(k4_numbers)
| v1_xreal_0(sK411(k4_numbers)) ),
inference(superposition,[status(thm)],[c_170221,c_2716]) ).
tcf(c_170324,plain,
( v4_finsub_1(k4_numbers)
| v1_xcmplx_0(sK411(k4_numbers)) ),
inference(superposition,[status(thm)],[c_170221,c_2715]) ).
tcf(c_170333,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( k2_tarski(X0,X1) != k1_zfmisc_1(np__0) ) ),
inference(superposition,[status(thm)],[c_47417,c_50672]) ).
tcf(c_170344,plain,
! [X0: $i] :
( v1_finset_1(sK421(X0))
| ~ v1_finset_1(X0) ),
inference(superposition,[status(thm)],[c_2781,c_1673]) ).
tcf(c_170353,plain,
! [X0: $i,X1: $i] :
( ~ v1_relat_1(X0)
| ~ r2_hidden(X0,k8_relat_1(X1,X0)) ),
inference(superposition,[status(thm)],[c_3314,c_538]) ).
tcf(c_170355,plain,
! [X0: $i] :
( v5_membered(k8_relat_1(X0,k5_numbers))
| ~ v1_relat_1(k5_numbers) ),
inference(superposition,[status(thm)],[c_3314,c_167217]) ).
tcf(c_170370,plain,
! [X0: $i] :
( ~ v3_ordinal1(sK550(X0))
| ~ r2_hidden(sK551(X0),X0) ),
inference(superposition,[status(thm)],[c_3504,c_538]) ).
tcf(c_170378,plain,
( v4_finsub_1(k4_numbers)
| v1_xreal_0(sK410(k4_numbers)) ),
inference(superposition,[status(thm)],[c_170247,c_2716]) ).
tcf(c_170379,plain,
( v4_finsub_1(k4_numbers)
| v1_xcmplx_0(sK410(k4_numbers)) ),
inference(superposition,[status(thm)],[c_170247,c_2715]) ).
tcf(c_170434,plain,
k2_tarski(np__0,k1_zfmisc_1(np__0)) = k1_zfmisc_1(k1_zfmisc_1(np__0)),
inference(superposition,[status(thm)],[c_47417,c_50679]) ).
tcf(c_170435,plain,
! [X0: $i] : k5_xboole_0(np__0,k5_xboole_0(k2_tarski(X0,X0),k3_tarski(k1_zfmisc_1(k2_tarski(X0,X0))))) = k1_setfam_1(k2_tarski(k2_tarski(X0,X0),np__0)),
inference(superposition,[status(thm)],[c_50679,c_50414]) ).
tcf(c_170436,plain,
! [X0: $i] : k5_relat_1(k6_partfun1(np__0),k6_partfun1(k2_tarski(X0,X0))) = k6_partfun1(k1_setfam_1(k1_zfmisc_1(k2_tarski(X0,X0)))),
inference(superposition,[status(thm)],[c_50679,c_49266]) ).
tcf(c_170437,plain,
! [X0: $i] : k4_xboole_0(k2_tarski(np__0,np__0),k1_zfmisc_1(k2_tarski(X0,X0))) = np__0,
inference(superposition,[status(thm)],[c_50679,c_48463]) ).
tcf(c_170438,plain,
! [X0: $i] : k3_tarski(k2_tarski(np__0,k1_setfam_1(k1_zfmisc_1(k2_tarski(X0,X0))))) = np__0,
inference(superposition,[status(thm)],[c_50679,c_48096]) ).
tcf(c_170440,plain,
! [X0: $i] :
( v1_xboole_0(k2_tarski(X0,X0))
| ~ v1_xboole_0(k3_tarski(k1_zfmisc_1(k2_tarski(X0,X0)))) ),
inference(superposition,[status(thm)],[c_50679,c_510]) ).
tcf(c_170441,plain,
! [X0: $i,X1: $i] :
( ( k2_tarski(X0,X0) = np__0 )
| ( k1_card_1(k1_funct_2(k1_zfmisc_1(k2_tarski(X0,X0)),X1)) = k1_card_1(k2_zfmisc_1(X1,X1)) ) ),
inference(superposition,[status(thm)],[c_50679,c_3665]) ).
tcf(c_170442,plain,
! [X0: $i,X1: $i,X2: $i] : k3_tarski(k2_tarski(k1_zfmisc_1(k2_tarski(X0,X0)),k2_tarski(X1,X2))) = k2_enumset1(np__0,k2_tarski(X0,X0),X1,X2),
inference(superposition,[status(thm)],[c_50679,c_3627]) ).
tcf(c_170443,plain,
! [X0: $i] : k1_zfmisc_1(k2_tarski(X0,X0)) != np__0,
inference(superposition,[status(thm)],[c_50679,c_161595]) ).
tcf(c_170444,plain,
! [X0: $i] : r1_tarski(k2_tarski(np__0,np__0),k1_zfmisc_1(k2_tarski(X0,X0))),
inference(superposition,[status(thm)],[c_50679,c_47411]) ).
tcf(c_170445,plain,
! [X0: $i] : r1_tarski(k1_setfam_1(k1_zfmisc_1(k2_tarski(X0,X0))),k2_tarski(X0,X0)),
inference(superposition,[status(thm)],[c_50679,c_162385]) ).
tcf(c_170446,plain,
! [X0: $i] : r1_tarski(k1_setfam_1(k1_zfmisc_1(k2_tarski(X0,X0))),np__0),
inference(superposition,[status(thm)],[c_50679,c_160602]) ).
tcf(c_170447,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2 = np__0 )
| ( X1 = np__0 )
| ( k1_zfmisc_1(k2_tarski(X0,X0)) != k2_tarski(X1,X2) ) ),
inference(superposition,[status(thm)],[c_50679,c_2702]) ).
tcf(c_170448,plain,
! [X0: $i,X1: $i] : k3_tarski(k2_tarski(k1_zfmisc_1(k2_tarski(X0,X0)),X1)) != np__0,
inference(superposition,[status(thm)],[c_50679,c_2679]) ).
tcf(c_170449,plain,
! [X0: $i] : m1_subset_1(np__0,k1_zfmisc_1(k2_tarski(X0,X0))),
inference(superposition,[status(thm)],[c_50679,c_161351]) ).
tcf(c_170450,plain,
! [X0: $i] : r1_tarski(np__0,k3_tarski(k1_zfmisc_1(k2_tarski(X0,X0)))),
inference(superposition,[status(thm)],[c_50679,c_497]) ).
tcf(c_170451,plain,
! [X0: $i] : r2_hidden(np__0,k1_zfmisc_1(k2_tarski(X0,X0))),
inference(superposition,[status(thm)],[c_50679,c_2711]) ).
tcf(c_170452,plain,
! [X0: $i] : ~ v1_xboole_0(k1_zfmisc_1(k2_tarski(X0,X0))),
inference(superposition,[status(thm)],[c_50679,c_2655]) ).
tcf(c_170453,plain,
! [X0: $i] : v1_finset_1(k1_zfmisc_1(k2_tarski(X0,X0))),
inference(superposition,[status(thm)],[c_50679,c_1694]) ).
tcf(c_170454,plain,
! [X0: $i,X1: $i] : k3_tarski(k2_tarski(np__0,k3_tarski(k2_tarski(k2_tarski(X0,X0),X1)))) = k3_tarski(k2_tarski(k3_tarski(k1_zfmisc_1(k2_tarski(X0,X0))),X1)),
inference(superposition,[status(thm)],[c_50679,c_500]) ).
tcf(c_170455,plain,
! [X0: $i] : k3_tarski(k2_tarski(np__0,k3_tarski(k1_zfmisc_1(k2_tarski(X0,X0))))) = k3_tarski(k1_zfmisc_1(k2_tarski(X0,X0))),
inference(superposition,[status(thm)],[c_50679,c_498]) ).
tcf(c_170457,plain,
! [X0: $i] : k4_xboole_0(k3_tarski(k1_zfmisc_1(k2_tarski(X0,X0))),k2_tarski(X0,X0)) = k4_xboole_0(np__0,k2_tarski(X0,X0)),
inference(superposition,[status(thm)],[c_50679,c_485]) ).
tcf(c_170458,plain,
! [X0: $i,X1: $i] :
( ( k2_tarski(X0,X0) = np__0 )
| ( k1_zfmisc_1(k2_tarski(X0,X0)) != k2_tarski(X1,X1) ) ),
inference(superposition,[status(thm)],[c_50679,c_50672]) ).
tcf(c_170460,plain,
! [X0: $i,X1: $i] :
( ( k2_tarski(X1,X1) = np__0 )
| ( k1_card_1(k1_funct_2(X0,k1_zfmisc_1(k2_tarski(X1,X1)))) = k1_card_1(k1_zfmisc_1(X0)) ) ),
inference(superposition,[status(thm)],[c_50679,c_3667]) ).
tcf(c_170461,plain,
! [X0: $i,X1: $i] : k4_xboole_0(k4_xboole_0(X0,np__0),k2_tarski(X1,X1)) = k4_xboole_0(X0,k3_tarski(k1_zfmisc_1(k2_tarski(X1,X1)))),
inference(superposition,[status(thm)],[c_50679,c_484]) ).
tcf(c_170462,plain,
! [X0: $i,X1: $i,X2: $i] : k3_tarski(k2_tarski(k2_tarski(X0,X1),k1_zfmisc_1(k2_tarski(X2,X2)))) = k2_enumset1(X0,X1,np__0,k2_tarski(X2,X2)),
inference(superposition,[status(thm)],[c_50679,c_3627]) ).
tcf(c_170463,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = np__0 )
| ( k2_tarski(X0,X0) = X1 )
| ( k1_zfmisc_1(k2_tarski(X0,X0)) != k2_tarski(X1,X2) ) ),
inference(superposition,[status(thm)],[c_50679,c_2702]) ).
tcf(c_170464,plain,
! [X0: $i] : k5_xboole_0(k2_tarski(X0,X0),k1_setfam_1(k1_zfmisc_1(k2_tarski(X0,X0)))) = k4_xboole_0(k2_tarski(X0,X0),np__0),
inference(superposition,[status(thm)],[c_50679,c_48956]) ).
tcf(c_170465,plain,
! [X0: $i] : k4_xboole_0(k2_tarski(X0,X0),k1_setfam_1(k1_zfmisc_1(k2_tarski(X0,X0)))) = k4_xboole_0(k2_tarski(X0,X0),np__0),
inference(superposition,[status(thm)],[c_50679,c_48904]) ).
tcf(c_170466,plain,
! [X0: $i] : k4_xboole_0(k2_tarski(k2_tarski(X0,X0),k2_tarski(X0,X0)),k1_zfmisc_1(k2_tarski(X0,X0))) = np__0,
inference(superposition,[status(thm)],[c_50679,c_48462]) ).
tcf(c_170467,plain,
! [X0: $i] : r1_tarski(k2_tarski(k2_tarski(X0,X0),k2_tarski(X0,X0)),k1_zfmisc_1(k2_tarski(X0,X0))),
inference(superposition,[status(thm)],[c_50679,c_47412]) ).
tcf(c_170468,plain,
! [X0: $i] : r1_tarski(k2_tarski(X0,X0),k3_tarski(k1_zfmisc_1(k2_tarski(X0,X0)))),
inference(superposition,[status(thm)],[c_50679,c_162055]) ).
tcf(c_170469,plain,
! [X0: $i] : m1_subset_1(k2_tarski(X0,X0),k1_zfmisc_1(k2_tarski(X0,X0))),
inference(superposition,[status(thm)],[c_50679,c_161352]) ).
tcf(c_170470,plain,
! [X0: $i] : r2_hidden(k2_tarski(X0,X0),k1_zfmisc_1(k2_tarski(X0,X0))),
inference(superposition,[status(thm)],[c_50679,c_2712]) ).
tcf(c_170471,plain,
! [X0: $i] : k3_tarski(k1_zfmisc_1(k2_tarski(X0,X0))) = k2_tarski(X0,X0),
inference(superposition,[status(thm)],[c_50679,c_162072]) ).
tcf(c_170472,plain,
! [X0: $i] : k1_setfam_1(k1_zfmisc_1(k2_tarski(X0,X0))) = np__0,
inference(superposition,[status(thm)],[c_50679,c_160608]) ).
tcf(c_170473,plain,
! [X0: $i] : r1_tarski(k1_zfmisc_1(np__0),k1_zfmisc_1(k2_tarski(X0,X0))),
inference(superposition,[status(thm)],[c_50679,c_165499]) ).
tcf(c_170474,plain,
! [X0: $i] : r1_tarski(k1_zfmisc_1(k2_tarski(X0,X0)),k1_zfmisc_1(k2_tarski(X0,X0))),
inference(superposition,[status(thm)],[c_50679,c_162071]) ).
tcf(c_170475,plain,
k3_tarski(k1_zfmisc_1(k2_tarski(np__0,np__0))) != np__0,
inference(superposition,[status(thm)],[c_50679,c_48232]) ).
tcf(c_170477,plain,
k3_tarski(k1_zfmisc_1(k1_zfmisc_1(np__0))) != np__0,
inference(light_normalisation,[status(thm)],[c_170475,c_47417]) ).
tcf(c_170478,plain,
! [X0: $i] : ~ v1_xboole_0(k3_tarski(k1_zfmisc_1(k2_tarski(X0,X0)))),
inference(forward_subsumption_resolution,[status(thm)],[c_170440,c_2655]) ).
tcf(c_170479,plain,
! [X0: $i] : k4_xboole_0(k1_zfmisc_1(np__0),k1_zfmisc_1(k2_tarski(X0,X0))) = np__0,
inference(light_normalisation,[status(thm)],[c_170437,c_47417]) ).
tcf(c_170482,plain,
! [X0: $i] : k6_partfun1(k1_setfam_1(k1_zfmisc_1(k2_tarski(X0,X0)))) = k5_relat_1(np__0,k6_partfun1(k2_tarski(X0,X0))),
inference(light_normalisation,[status(thm)],[c_170436,c_2188]) ).
tcf(c_170483,plain,
! [X0: $i,X1: $i] : k4_xboole_0(X0,k3_tarski(k1_zfmisc_1(k2_tarski(X1,X1)))) = k4_xboole_0(X0,k2_tarski(X1,X1)),
inference(light_normalisation,[status(thm)],[c_170461,c_1740]) ).
tcf(c_170484,plain,
! [X0: $i,X1: $i] : k1_zfmisc_1(k2_tarski(X0,X0)) != k2_tarski(X1,X1),
inference(forward_subsumption_resolution,[status(thm)],[c_170458,c_161595]) ).
tcf(c_170485,plain,
! [X0: $i,X1: $i] : k1_card_1(k1_funct_2(X0,k1_zfmisc_1(k2_tarski(X1,X1)))) = k1_card_1(k1_zfmisc_1(X0)),
inference(forward_subsumption_resolution,[status(thm)],[c_170460,c_161595]) ).
tcf(c_170489,plain,
! [X0: $i,X1: $i] : k1_card_1(k1_funct_2(k1_zfmisc_1(k2_tarski(X0,X0)),X1)) = k1_card_1(k2_zfmisc_1(X1,X1)),
inference(forward_subsumption_resolution,[status(thm)],[c_170441,c_161595]) ).
tcf(c_170523,plain,
! [X0: $i] :
( r2_hidden(sK550(X0),X0)
| ~ r2_hidden(sK551(X0),X0) ),
inference(superposition,[status(thm)],[c_3506,c_538]) ).
tcf(c_170546,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| r2_hidden(sK92(X0),X0)
| ~ v4_finsub_1(X0) ),
inference(superposition,[status(thm)],[c_3600,c_627]) ).
tcf(c_170547,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| m1_subset_1(np__0,X0)
| ~ v4_finsub_1(X0) ),
inference(superposition,[status(thm)],[c_3600,c_626]) ).
tcf(c_170551,plain,
( v1_int_1(np__0)
| v1_xboole_0(k4_numbers)
| ~ v4_finsub_1(k4_numbers) ),
inference(superposition,[status(thm)],[c_3600,c_2722]) ).
tcf(c_170552,plain,
( v1_xreal_0(np__0)
| v1_xboole_0(k1_numbers)
| ~ v4_finsub_1(k1_numbers) ),
inference(superposition,[status(thm)],[c_3600,c_2743]) ).
tcf(c_170555,plain,
! [X0: $i] :
( v1_xboole_0(k4_xboole_0(np__0,X0))
| ~ v4_finsub_1(k4_xboole_0(np__0,X0)) ),
inference(superposition,[status(thm)],[c_3600,c_167156]) ).
tcf(c_170556,plain,
( v1_xboole_0(k1_setfam_1(k1_zfmisc_1(np__0)))
| ~ v4_finsub_1(k1_setfam_1(k1_zfmisc_1(np__0))) ),
inference(superposition,[status(thm)],[c_3600,c_167177]) ).
tcf(c_170557,plain,
( v1_xreal_0(np__0)
| ~ v4_finsub_1(k1_numbers) ),
inference(forward_subsumption_resolution,[status(thm)],[c_170552,c_2745]) ).
tcf(c_170560,plain,
( v1_int_1(np__0)
| ~ v4_finsub_1(k4_numbers) ),
inference(forward_subsumption_resolution,[status(thm)],[c_170551,c_2733]) ).
tcf(c_170566,plain,
( v1_xboole_0(np__0)
| ~ v4_finsub_1(np__0) ),
inference(light_normalisation,[status(thm)],[c_170556,c_165500]) ).
tcf(c_170575,plain,
v1_finset_1(k1_zfmisc_1(k1_zfmisc_1(np__0))),
inference(superposition,[status(thm)],[c_47417,c_170453]) ).
tcf(c_170576,plain,
! [X0: $i] : v1_finset_1(k2_tarski(X0,X0)),
inference(superposition,[status(thm)],[c_170453,c_1678]) ).
tcf(c_170578,plain,
v1_xreal_0(np__0),
inference(global_subsumption_just,[status(thm)],[c_170557,c_3240,c_1396,c_4188,c_4221]) ).
tcf(c_170580,plain,
v1_xcmplx_0(np__0),
inference(superposition,[status(thm)],[c_170578,c_2750]) ).
tcf(c_170594,plain,
! [X0: $i] :
( v4_membered(k7_relat_1(k5_numbers,X0))
| ~ v1_relat_1(k5_numbers) ),
inference(superposition,[status(thm)],[c_2067,c_167218]) ).
tcf(c_170595,plain,
! [X0: $i] :
( v4_membered(k1_setfam_1(X0))
| ~ r2_hidden(k5_numbers,X0) ),
inference(superposition,[status(thm)],[c_2541,c_167218]) ).
tcf(c_170596,plain,
! [X0: $i] :
( v4_membered(k8_relat_1(X0,k5_numbers))
| ~ v1_relat_1(k5_numbers) ),
inference(superposition,[status(thm)],[c_3314,c_167218]) ).
tcf(c_170620,plain,
! [X0: $i] :
( v3_membered(k7_relat_1(k5_numbers,X0))
| ~ v1_relat_1(k5_numbers) ),
inference(superposition,[status(thm)],[c_2067,c_167219]) ).
tcf(c_170621,plain,
! [X0: $i] :
( v3_membered(k1_setfam_1(X0))
| ~ r2_hidden(k5_numbers,X0) ),
inference(superposition,[status(thm)],[c_2541,c_167219]) ).
tcf(c_170622,plain,
! [X0: $i] :
( v3_membered(k8_relat_1(X0,k5_numbers))
| ~ v1_relat_1(k5_numbers) ),
inference(superposition,[status(thm)],[c_3314,c_167219]) ).
tcf(c_170646,plain,
! [X0: $i] :
( v2_membered(k7_relat_1(k5_numbers,X0))
| ~ v1_relat_1(k5_numbers) ),
inference(superposition,[status(thm)],[c_2067,c_167220]) ).
tcf(c_170647,plain,
! [X0: $i] :
( v2_membered(k1_setfam_1(X0))
| ~ r2_hidden(k5_numbers,X0) ),
inference(superposition,[status(thm)],[c_2541,c_167220]) ).
tcf(c_170648,plain,
! [X0: $i] :
( v2_membered(k8_relat_1(X0,k5_numbers))
| ~ v1_relat_1(k5_numbers) ),
inference(superposition,[status(thm)],[c_3314,c_167220]) ).
tcf(c_170672,plain,
! [X0: $i] :
( v1_membered(k7_relat_1(k5_numbers,X0))
| ~ v1_relat_1(k5_numbers) ),
inference(superposition,[status(thm)],[c_2067,c_167221]) ).
tcf(c_170673,plain,
! [X0: $i] :
( v1_membered(k1_setfam_1(X0))
| ~ r2_hidden(k5_numbers,X0) ),
inference(superposition,[status(thm)],[c_2541,c_167221]) ).
tcf(c_170674,plain,
! [X0: $i] :
( v1_membered(k8_relat_1(X0,k5_numbers))
| ~ v1_relat_1(k5_numbers) ),
inference(superposition,[status(thm)],[c_3314,c_167221]) ).
tcf(c_170695,plain,
v4_membered(k2_relat_1(sK115(k4_numbers,np__0))),
inference(superposition,[status(thm)],[c_723,c_167222]) ).
tcf(c_170697,plain,
! [X0: $i] : v4_membered(k4_xboole_0(k4_numbers,X0)),
inference(superposition,[status(thm)],[c_1734,c_167222]) ).
tcf(c_170698,plain,
! [X0: $i] :
( v4_membered(k7_relat_1(k4_numbers,X0))
| ~ v1_relat_1(k4_numbers) ),
inference(superposition,[status(thm)],[c_2067,c_167222]) ).
tcf(c_170699,plain,
! [X0: $i] :
( v4_membered(k1_setfam_1(X0))
| ~ r2_hidden(k4_numbers,X0) ),
inference(superposition,[status(thm)],[c_2541,c_167222]) ).
tcf(c_170701,plain,
! [X0: $i] :
( v4_membered(k8_relat_1(X0,k4_numbers))
| ~ v1_relat_1(k4_numbers) ),
inference(superposition,[status(thm)],[c_3314,c_167222]) ).
tcf(c_170702,plain,
! [X0: $i,X1: $i] : v4_membered(k4_xboole_0(k4_xboole_0(k4_numbers,X0),X1)),
inference(superposition,[status(thm)],[c_159540,c_167222]) ).
tcf(c_170703,plain,
v4_membered(k1_setfam_1(k1_zfmisc_1(k4_numbers))),
inference(superposition,[status(thm)],[c_160376,c_167222]) ).
tcf(c_170704,plain,
! [X0: $i] : v4_membered(k1_setfam_1(k2_tarski(k4_numbers,X0))),
inference(superposition,[status(thm)],[c_160602,c_167222]) ).
tcf(c_170705,plain,
! [X0: $i] : v4_membered(k1_setfam_1(k2_tarski(X0,k4_numbers))),
inference(superposition,[status(thm)],[c_162385,c_167222]) ).
tcf(c_170726,plain,
! [X0: $i] : v2_membered(k4_xboole_0(k4_numbers,X0)),
inference(superposition,[status(thm)],[c_170697,c_162309]) ).
tcf(c_170727,plain,
! [X0: $i] : v1_membered(k4_xboole_0(k4_numbers,X0)),
inference(superposition,[status(thm)],[c_170697,c_162281]) ).
tcf(c_170728,plain,
! [X0: $i] : v3_membered(k4_xboole_0(k4_numbers,X0)),
inference(superposition,[status(thm)],[c_170697,c_1481]) ).
tcf(c_170737,plain,
! [X0: $i] :
( ( X0 = np__0 )
| ( k2_zfmisc_1(X0,k1_zfmisc_1(np__0)) != np__0 ) ),
inference(superposition,[status(thm)],[c_47417,c_51168]) ).
tcf(c_170744,plain,
! [X0: $i] :
( v1_finset_1(sK561(X0))
| ~ v1_finset_1(X0) ),
inference(superposition,[status(thm)],[c_3679,c_1673]) ).
tcf(c_170760,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_wellord2(k1_funct_2(k2_tarski(X0,X1),X2),k1_card_1(k2_zfmisc_1(X2,X2)))
| ( X0 = X1 )
| ~ v1_card_1(k1_card_1(k1_funct_2(k2_tarski(X0,X1),X2))) ),
inference(superposition,[status(thm)],[c_3665,c_3698]) ).
tcf(c_170761,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_wellord2(k2_zfmisc_1(X0,X0),k1_card_1(k1_funct_2(k2_tarski(X1,X2),X0)))
| ( X1 = X2 )
| ~ v1_card_1(k1_card_1(k2_zfmisc_1(X0,X0))) ),
inference(superposition,[status(thm)],[c_3665,c_3698]) ).
tcf(c_170762,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_wellord2(k1_funct_2(X0,k2_tarski(X1,X2)),k1_card_1(k1_zfmisc_1(X0)))
| ( X1 = X2 )
| ~ v1_card_1(k1_card_1(k1_funct_2(X0,k2_tarski(X1,X2)))) ),
inference(superposition,[status(thm)],[c_3667,c_3698]) ).
tcf(c_170763,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_wellord2(k2_zfmisc_1(k1_funct_2(X0,X1),k1_funct_2(X0,X2)),k1_card_1(k1_funct_2(X0,k2_zfmisc_1(X1,X2))))
| ~ v1_card_1(k1_card_1(k2_zfmisc_1(k1_funct_2(X0,X1),k1_funct_2(X0,X2)))) ),
inference(superposition,[status(thm)],[c_3669,c_3698]) ).
tcf(c_170764,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_wellord2(k1_funct_2(k2_zfmisc_1(X0,X1),X2),k1_card_1(k1_funct_2(X0,k1_funct_2(X1,X2))))
| ~ v1_card_1(k1_card_1(k1_funct_2(k2_zfmisc_1(X0,X1),X2))) ),
inference(superposition,[status(thm)],[c_3671,c_3698]) ).
tcf(c_170765,plain,
! [X0: $i,X1: $i] :
( r2_wellord2(k1_funct_2(k2_tarski(X0,X0),X1),k1_card_1(X1))
| ~ v1_card_1(k1_card_1(k1_funct_2(k2_tarski(X0,X0),X1))) ),
inference(superposition,[status(thm)],[c_48215,c_3698]) ).
tcf(c_170766,plain,
! [X0: $i,X1: $i] :
( r2_wellord2(k1_funct_2(k2_tarski(X1,X1),X0),k1_card_1(X0))
| ~ v1_card_1(k1_card_1(X0)) ),
inference(light_normalisation,[status(thm)],[c_170765,c_48215]) ).
tcf(c_170769,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_wellord2(k1_funct_2(k2_zfmisc_1(X0,X1),X2),k1_card_1(k1_funct_2(X0,k1_funct_2(X1,X2))))
| ~ v1_card_1(k1_card_1(k1_funct_2(X0,k1_funct_2(X1,X2)))) ),
inference(light_normalisation,[status(thm)],[c_170764,c_3671]) ).
tcf(c_170781,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_wellord2(k2_zfmisc_1(k1_funct_2(X0,X1),k1_funct_2(X0,X2)),k1_card_1(k1_funct_2(X0,k2_zfmisc_1(X1,X2))))
| ~ v1_card_1(k1_card_1(k1_funct_2(X0,k2_zfmisc_1(X1,X2)))) ),
inference(light_normalisation,[status(thm)],[c_170763,c_3669]) ).
tcf(c_170793,plain,
v2_membered(k1_setfam_1(k1_zfmisc_1(k4_numbers))),
inference(superposition,[status(thm)],[c_170703,c_162309]) ).
tcf(c_170794,plain,
v1_membered(k1_setfam_1(k1_zfmisc_1(k4_numbers))),
inference(superposition,[status(thm)],[c_170703,c_162281]) ).
tcf(c_170795,plain,
v3_membered(k1_setfam_1(k1_zfmisc_1(k4_numbers))),
inference(superposition,[status(thm)],[c_170703,c_1481]) ).
tcf(c_170796,plain,
! [X0: $i] : v2_membered(k1_setfam_1(k2_tarski(X0,k4_numbers))),
inference(superposition,[status(thm)],[c_48896,c_170726]) ).
tcf(c_170797,plain,
! [X0: $i] : v2_membered(k1_setfam_1(k2_tarski(k4_numbers,X0))),
inference(superposition,[status(thm)],[c_2532,c_170726]) ).
tcf(c_170798,plain,
! [X0: $i,X1: $i] : v2_membered(k4_xboole_0(k4_xboole_0(k4_numbers,X0),X1)),
inference(superposition,[status(thm)],[c_484,c_170726]) ).
tcf(c_170806,plain,
! [X0: $i] : v1_membered(k1_setfam_1(k2_tarski(X0,k4_numbers))),
inference(superposition,[status(thm)],[c_48896,c_170727]) ).
tcf(c_170807,plain,
! [X0: $i] : v1_membered(k1_setfam_1(k2_tarski(k4_numbers,X0))),
inference(superposition,[status(thm)],[c_2532,c_170727]) ).
tcf(c_170808,plain,
! [X0: $i,X1: $i] : v1_membered(k4_xboole_0(k4_xboole_0(k4_numbers,X0),X1)),
inference(superposition,[status(thm)],[c_484,c_170727]) ).
tcf(c_170815,plain,
! [X0: $i] : v3_membered(k1_setfam_1(k2_tarski(X0,k4_numbers))),
inference(superposition,[status(thm)],[c_48896,c_170728]) ).
tcf(c_170816,plain,
! [X0: $i] : v3_membered(k1_setfam_1(k2_tarski(k4_numbers,X0))),
inference(superposition,[status(thm)],[c_2532,c_170728]) ).
tcf(c_170817,plain,
! [X0: $i,X1: $i] : v3_membered(k4_xboole_0(k4_xboole_0(k4_numbers,X0),X1)),
inference(superposition,[status(thm)],[c_484,c_170728]) ).
tcf(c_170829,plain,
v2_membered(k2_relat_1(sK115(k4_numbers,np__0))),
inference(superposition,[status(thm)],[c_170695,c_162309]) ).
tcf(c_170830,plain,
v1_membered(k2_relat_1(sK115(k4_numbers,np__0))),
inference(superposition,[status(thm)],[c_170695,c_162281]) ).
tcf(c_170831,plain,
v3_membered(k2_relat_1(sK115(k4_numbers,np__0))),
inference(superposition,[status(thm)],[c_170695,c_1481]) ).
tcf(c_170861,plain,
! [X0: $i] :
( ( X0 = np__0 )
| ( k2_zfmisc_1(k1_zfmisc_1(np__0),X0) != np__0 ) ),
inference(superposition,[status(thm)],[c_47417,c_51175]) ).
tcf(c_170872,plain,
! [X0: $i,X1: $i] :
( sP24(sK569(X0,X1))
| ~ sP37(X0,X1)
| ~ v1_relat_1(sK569(X0,X1)) ),
inference(superposition,[status(thm)],[c_3728,c_2235]) ).
tcf(c_170917,plain,
! [X0: $i] :
( v3_membered(k7_relat_1(k4_numbers,X0))
| ~ v1_relat_1(k4_numbers) ),
inference(superposition,[status(thm)],[c_2067,c_167223]) ).
tcf(c_170918,plain,
! [X0: $i] :
( v3_membered(k1_setfam_1(X0))
| ~ r2_hidden(k4_numbers,X0) ),
inference(superposition,[status(thm)],[c_2541,c_167223]) ).
tcf(c_170920,plain,
! [X0: $i] :
( v3_membered(k8_relat_1(X0,k4_numbers))
| ~ v1_relat_1(k4_numbers) ),
inference(superposition,[status(thm)],[c_3314,c_167223]) ).
tcf(c_170944,plain,
! [X0: $i] :
( v2_membered(k7_relat_1(k4_numbers,X0))
| ~ v1_relat_1(k4_numbers) ),
inference(superposition,[status(thm)],[c_2067,c_167224]) ).
tcf(c_170945,plain,
! [X0: $i] :
( v2_membered(k1_setfam_1(X0))
| ~ r2_hidden(k4_numbers,X0) ),
inference(superposition,[status(thm)],[c_2541,c_167224]) ).
tcf(c_170947,plain,
! [X0: $i] :
( v2_membered(k8_relat_1(X0,k4_numbers))
| ~ v1_relat_1(k4_numbers) ),
inference(superposition,[status(thm)],[c_3314,c_167224]) ).
tcf(c_170971,plain,
! [X0: $i] :
( v1_membered(k7_relat_1(k4_numbers,X0))
| ~ v1_relat_1(k4_numbers) ),
inference(superposition,[status(thm)],[c_2067,c_167225]) ).
tcf(c_170972,plain,
! [X0: $i] :
( v1_membered(k1_setfam_1(X0))
| ~ r2_hidden(k4_numbers,X0) ),
inference(superposition,[status(thm)],[c_2541,c_167225]) ).
tcf(c_170974,plain,
! [X0: $i] :
( v1_membered(k8_relat_1(X0,k4_numbers))
| ~ v1_relat_1(k4_numbers) ),
inference(superposition,[status(thm)],[c_3314,c_167225]) ).
tcf(c_170995,plain,
v3_membered(k2_relat_1(sK115(k3_numbers,np__0))),
inference(superposition,[status(thm)],[c_723,c_167226]) ).
tcf(c_170997,plain,
! [X0: $i] : v3_membered(k4_xboole_0(k3_numbers,X0)),
inference(superposition,[status(thm)],[c_1734,c_167226]) ).
tcf(c_170998,plain,
! [X0: $i] :
( v3_membered(k7_relat_1(k3_numbers,X0))
| ~ v1_relat_1(k3_numbers) ),
inference(superposition,[status(thm)],[c_2067,c_167226]) ).
tcf(c_170999,plain,
! [X0: $i] :
( v3_membered(k1_setfam_1(X0))
| ~ r2_hidden(k3_numbers,X0) ),
inference(superposition,[status(thm)],[c_2541,c_167226]) ).
tcf(c_171002,plain,
! [X0: $i] :
( v3_membered(k8_relat_1(X0,k3_numbers))
| ~ v1_relat_1(k3_numbers) ),
inference(superposition,[status(thm)],[c_3314,c_167226]) ).
tcf(c_171003,plain,
! [X0: $i,X1: $i] : v3_membered(k4_xboole_0(k4_xboole_0(k3_numbers,X0),X1)),
inference(superposition,[status(thm)],[c_159540,c_167226]) ).
tcf(c_171004,plain,
v3_membered(k1_setfam_1(k1_zfmisc_1(k3_numbers))),
inference(superposition,[status(thm)],[c_160376,c_167226]) ).
tcf(c_171005,plain,
! [X0: $i] : v3_membered(k1_setfam_1(k2_tarski(k3_numbers,X0))),
inference(superposition,[status(thm)],[c_160602,c_167226]) ).
tcf(c_171006,plain,
! [X0: $i] : v3_membered(k1_setfam_1(k2_tarski(X0,k3_numbers))),
inference(superposition,[status(thm)],[c_162385,c_167226]) ).
tcf(c_171027,plain,
! [X0: $i] : v1_membered(k4_xboole_0(k3_numbers,X0)),
inference(superposition,[status(thm)],[c_170997,c_162769]) ).
tcf(c_171028,plain,
! [X0: $i] : v2_membered(k4_xboole_0(k3_numbers,X0)),
inference(superposition,[status(thm)],[c_170997,c_1511]) ).
tcf(c_171036,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k2_tarski(X1,X1),k3_relat_1(sK46(X0,X1)))
| ( X0 = np__0 )
| ~ v1_relat_1(sK46(X0,X1)) ),
inference(superposition,[status(thm)],[c_51182,c_2310]) ).
tcf(c_171049,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(k2_tarski(X1,X1))
| ( X0 = np__0 )
| ~ v1_xboole_0(sK46(X0,X1)) ),
inference(superposition,[status(thm)],[c_51182,c_744]) ).
tcf(c_171050,plain,
! [X0: $i,X1: $i] :
( ( X1 = np__0 )
| ( k5_xboole_0(X0,k5_xboole_0(X0,k3_tarski(k2_relat_1(sK46(X1,X0))))) = k1_setfam_1(k2_relat_1(sK46(X1,X0))) ) ),
inference(superposition,[status(thm)],[c_51182,c_50414]) ).
tcf(c_171051,plain,
! [X0: $i,X1: $i] :
( ( X0 = np__0 )
| ( k6_partfun1(k1_setfam_1(k2_relat_1(sK46(X0,X1)))) = k5_relat_1(k6_partfun1(X1),k6_partfun1(X1)) ) ),
inference(superposition,[status(thm)],[c_51182,c_49266]) ).
tcf(c_171053,plain,
! [X0: $i,X1: $i] :
( ( X1 = np__0 )
| ( k3_tarski(k2_tarski(X0,k1_setfam_1(k2_relat_1(sK46(X1,X0))))) = X0 ) ),
inference(superposition,[status(thm)],[c_51182,c_48096]) ).
tcf(c_171054,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(X1)
| ( X0 = np__0 )
| ~ v1_xboole_0(k3_tarski(k2_relat_1(sK46(X0,X1)))) ),
inference(superposition,[status(thm)],[c_51182,c_511]) ).
tcf(c_171057,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X0 = np__0 )
| ( k3_tarski(k2_tarski(k2_relat_1(sK46(X0,X1)),k2_tarski(X2,X3))) = k2_enumset1(X1,X1,X2,X3) ) ),
inference(superposition,[status(thm)],[c_51182,c_3627]) ).
tcf(c_171058,plain,
! [X0: $i,X1: $i] :
( ( X0 = np__0 )
| ( k2_relat_1(sK46(X0,X1)) != np__0 ) ),
inference(superposition,[status(thm)],[c_51182,c_161595]) ).
tcf(c_171060,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k1_setfam_1(k2_relat_1(sK46(X0,X1))),X1)
| ( X0 = np__0 ) ),
inference(superposition,[status(thm)],[c_51182,c_162385]) ).
tcf(c_171063,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = np__0 )
| ( k3_tarski(k2_tarski(k2_relat_1(sK46(X0,X1)),X2)) != np__0 ) ),
inference(superposition,[status(thm)],[c_51182,c_2679]) ).
tcf(c_171067,plain,
! [X0: $i,X1: $i] :
( ( X0 = np__0 )
| ~ v1_xboole_0(k2_relat_1(sK46(X0,X1))) ),
inference(superposition,[status(thm)],[c_51182,c_2655]) ).
tcf(c_171068,plain,
! [X0: $i,X1: $i] :
( v1_finset_1(k2_relat_1(sK46(X0,X1)))
| ( X0 = np__0 ) ),
inference(superposition,[status(thm)],[c_51182,c_1694]) ).
tcf(c_171069,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = np__0 )
| ( k3_tarski(k2_tarski(k3_tarski(k2_relat_1(sK46(X0,X1))),X2)) = k3_tarski(k2_tarski(X1,k3_tarski(k2_tarski(X1,X2)))) ) ),
inference(superposition,[status(thm)],[c_51182,c_500]) ).
tcf(c_171070,plain,
! [X0: $i,X1: $i] :
( ( X1 = np__0 )
| ( k3_tarski(k2_tarski(X0,k3_tarski(k2_relat_1(sK46(X1,X0))))) = k3_tarski(k2_relat_1(sK46(X1,X0))) ) ),
inference(superposition,[status(thm)],[c_51182,c_498]) ).
tcf(c_171071,plain,
! [X0: $i,X1: $i] :
( ( X1 = np__0 )
| ( X0 = np__0 )
| ( k3_tarski(k2_relat_1(sK46(X0,X1))) != np__0 ) ),
inference(superposition,[status(thm)],[c_51182,c_487]) ).
tcf(c_171072,plain,
! [X0: $i,X1: $i] :
( ( X0 = np__0 )
| ( k4_xboole_0(k3_tarski(k2_relat_1(sK46(X0,X1))),X1) = k4_xboole_0(X1,X1) ) ),
inference(superposition,[status(thm)],[c_51182,c_485]) ).
tcf(c_171074,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X2 )
| ( X0 = np__0 )
| ( k2_relat_1(sK46(X0,X1)) != k2_tarski(X2,X2) ) ),
inference(superposition,[status(thm)],[c_51182,c_50665]) ).
tcf(c_171076,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = np__0 )
| ( k4_xboole_0(X0,k3_tarski(k2_relat_1(sK46(X1,X2)))) = k4_xboole_0(k4_xboole_0(X0,X2),X2) ) ),
inference(superposition,[status(thm)],[c_51182,c_484]) ).
tcf(c_171077,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X2 = np__0 )
| ( k3_tarski(k2_tarski(k2_tarski(X0,X1),k2_relat_1(sK46(X2,X3)))) = k2_enumset1(X0,X1,X3,X3) ) ),
inference(superposition,[status(thm)],[c_51182,c_3627]) ).
tcf(c_171079,plain,
! [X0: $i,X1: $i] :
( ( X0 = np__0 )
| ( k3_tarski(k2_relat_1(sK46(X0,k4_xboole_0(X1,X1)))) = k5_xboole_0(X1,X1) ) ),
inference(superposition,[status(thm)],[c_51182,c_2624]) ).
tcf(c_171080,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = np__0 )
| ( k3_tarski(k2_relat_1(sK46(X0,k2_zfmisc_1(X1,X2)))) = k2_zfmisc_1(X1,k3_tarski(k2_tarski(X2,X2))) ) ),
inference(superposition,[status(thm)],[c_51182,c_474]) ).
tcf(c_171081,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = np__0 )
| ( k3_tarski(k2_relat_1(sK46(X0,k2_zfmisc_1(X1,X2)))) = k2_zfmisc_1(k3_tarski(k2_tarski(X1,X1)),X2) ) ),
inference(superposition,[status(thm)],[c_51182,c_473]) ).
tcf(c_171082,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2 = np__0 )
| ( k3_tarski(k2_tarski(X0,k3_tarski(k2_tarski(X1,k3_tarski(k2_tarski(X0,X1)))))) = k3_tarski(k2_relat_1(sK46(X2,k3_tarski(k2_tarski(X0,X1))))) ) ),
inference(superposition,[status(thm)],[c_51182,c_500]) ).
tcf(c_171083,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = np__0 )
| ( k3_tarski(k2_relat_1(sK46(X0,k4_xboole_0(X1,X2)))) = k4_xboole_0(k3_tarski(k2_tarski(X1,X1)),X2) ) ),
inference(superposition,[status(thm)],[c_51182,c_483]) ).
tcf(c_171084,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2 = np__0 )
| ( X0 = np__0 )
| ( k2_zfmisc_1(k2_relat_1(sK46(X0,X1)),X2) != np__0 ) ),
inference(superposition,[status(thm)],[c_51182,c_51175]) ).
tcf(c_171085,plain,
! [X0: $i,X1: $i] :
( v1_finset_1(k1_zfmisc_1(k2_relat_1(sK46(X0,X1))))
| ( X0 = np__0 ) ),
inference(superposition,[status(thm)],[c_51182,c_170453]) ).
tcf(c_171086,plain,
! [X0: $i,X1: $i] :
( ( X0 = np__0 )
| ( k2_tarski(np__0,k2_relat_1(sK46(X0,X1))) = k1_zfmisc_1(k2_relat_1(sK46(X0,X1))) ) ),
inference(superposition,[status(thm)],[c_51182,c_50679]) ).
tcf(c_171087,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X2 = X3 )
| ( X0 = np__0 )
| ( k2_relat_1(sK46(X0,X1)) != k2_tarski(X2,X3) ) ),
inference(superposition,[status(thm)],[c_51182,c_50672]) ).
tcf(c_171088,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X1 = X2 )
| ( X0 = np__0 )
| ( k2_relat_1(sK46(X0,X1)) != k2_tarski(X2,X3) ) ),
inference(superposition,[status(thm)],[c_51182,c_50665]) ).
tcf(c_171089,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = np__0 )
| ( k4_xboole_0(k2_relat_1(sK46(X0,X1)),k2_tarski(X1,X2)) = np__0 ) ),
inference(superposition,[status(thm)],[c_51182,c_48463]) ).
tcf(c_171090,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = np__0 )
| ( k4_xboole_0(k2_relat_1(sK46(X0,X1)),k2_tarski(X2,X1)) = np__0 ) ),
inference(superposition,[status(thm)],[c_51182,c_48462]) ).
tcf(c_171091,plain,
! [X0: $i,X1: $i] :
( ( X1 = np__0 )
| ( k3_tarski(k2_tarski(X0,k2_relat_1(sK46(X1,X0)))) != X0 ) ),
inference(superposition,[status(thm)],[c_51182,c_48232]) ).
tcf(c_171092,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = np__0 )
| ( k1_card_1(k1_funct_2(k2_relat_1(sK46(X0,X1)),X2)) = k1_card_1(X2) ) ),
inference(superposition,[status(thm)],[c_51182,c_48215]) ).
tcf(c_171093,plain,
! [X0: $i,X1: $i] :
( v3_ordinal1(X1)
| ( X0 = np__0 )
| ~ v3_ordinal1(k2_relat_1(sK46(X0,X1))) ),
inference(superposition,[status(thm)],[c_51182,c_160347]) ).
tcf(c_171094,plain,
! [X0: $i,X1: $i] :
( r2_wellord2(k2_relat_1(sK46(X0,X1)),k1_zfmisc_1(np__0))
| ( X0 = np__0 ) ),
inference(superposition,[status(thm)],[c_51182,c_165676]) ).
tcf(c_171095,plain,
! [X0: $i,X1: $i] :
( r2_wellord2(k1_zfmisc_1(np__0),k2_relat_1(sK46(X0,X1)))
| ( X0 = np__0 ) ),
inference(superposition,[status(thm)],[c_51182,c_165675]) ).
tcf(c_171096,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_wellord2(k2_relat_1(sK46(X0,X1)),k2_tarski(X2,X2))
| ( X0 = np__0 ) ),
inference(superposition,[status(thm)],[c_51182,c_47591]) ).
tcf(c_171097,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k2_relat_1(sK46(X0,X1)),k2_tarski(X2,X1))
| ( X0 = np__0 ) ),
inference(superposition,[status(thm)],[c_51182,c_47412]) ).
tcf(c_171098,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k2_relat_1(sK46(X0,X1)),k2_tarski(X1,X2))
| ( X0 = np__0 ) ),
inference(superposition,[status(thm)],[c_51182,c_47411]) ).
tcf(c_171099,plain,
! [X0: $i,X1: $i] :
( ( X0 = np__0 )
| ( k1_setfam_1(k2_relat_1(sK46(X0,X1))) = X1 ) ),
inference(superposition,[status(thm)],[c_51182,c_47410]) ).
tcf(c_171100,plain,
! [X0: $i,X1: $i] :
( v1_membered(k2_relat_1(sK46(X1,X0)))
| ( X1 = np__0 )
| ~ v1_xcmplx_0(X0) ),
inference(superposition,[status(thm)],[c_51182,c_47408]) ).
tcf(c_171101,plain,
! [X0: $i,X1: $i] :
( v2_membered(k2_relat_1(sK46(X1,X0)))
| ( X1 = np__0 )
| ~ v1_xreal_0(X0) ),
inference(superposition,[status(thm)],[c_51182,c_47407]) ).
tcf(c_171102,plain,
! [X0: $i,X1: $i] :
( v1_membered(k2_relat_1(sK46(X1,X0)))
| ( X1 = np__0 )
| ~ v1_xreal_0(X0) ),
inference(superposition,[status(thm)],[c_51182,c_47406]) ).
tcf(c_171103,plain,
! [X0: $i,X1: $i] :
( v4_membered(k2_relat_1(sK46(X1,X0)))
| ( X1 = np__0 )
| ~ v1_int_1(X0) ),
inference(superposition,[status(thm)],[c_51182,c_47405]) ).
tcf(c_171104,plain,
! [X0: $i,X1: $i] :
( v3_membered(k2_relat_1(sK46(X1,X0)))
| ( X1 = np__0 )
| ~ v1_int_1(X0) ),
inference(superposition,[status(thm)],[c_51182,c_47404]) ).
tcf(c_171105,plain,
! [X0: $i,X1: $i] :
( v2_membered(k2_relat_1(sK46(X1,X0)))
| ( X1 = np__0 )
| ~ v1_int_1(X0) ),
inference(superposition,[status(thm)],[c_51182,c_47403]) ).
tcf(c_171106,plain,
! [X0: $i,X1: $i] :
( v1_membered(k2_relat_1(sK46(X1,X0)))
| ( X1 = np__0 )
| ~ v1_int_1(X0) ),
inference(superposition,[status(thm)],[c_51182,c_47402]) ).
tcf(c_171107,plain,
! [X0: $i,X1: $i] :
( v5_membered(k2_relat_1(sK46(X1,X0)))
| ( X1 = np__0 )
| ~ v4_ordinal2(X0) ),
inference(superposition,[status(thm)],[c_51182,c_47401]) ).
tcf(c_171108,plain,
! [X0: $i,X1: $i] :
( v4_membered(k2_relat_1(sK46(X1,X0)))
| ( X1 = np__0 )
| ~ v4_ordinal2(X0) ),
inference(superposition,[status(thm)],[c_51182,c_47400]) ).
tcf(c_171109,plain,
! [X0: $i,X1: $i] :
( v3_membered(k2_relat_1(sK46(X1,X0)))
| ( X1 = np__0 )
| ~ v4_ordinal2(X0) ),
inference(superposition,[status(thm)],[c_51182,c_47399]) ).
tcf(c_171110,plain,
! [X0: $i,X1: $i] :
( v2_membered(k2_relat_1(sK46(X1,X0)))
| ( X1 = np__0 )
| ~ v4_ordinal2(X0) ),
inference(superposition,[status(thm)],[c_51182,c_47398]) ).
tcf(c_171111,plain,
! [X0: $i,X1: $i] :
( v1_membered(k2_relat_1(sK46(X1,X0)))
| ( X1 = np__0 )
| ~ v4_ordinal2(X0) ),
inference(superposition,[status(thm)],[c_51182,c_47397]) ).
tcf(c_171112,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k2_relat_1(sK46(X0,X1)),k1_zfmisc_1(X1))
| ( X0 = np__0 ) ),
inference(superposition,[status(thm)],[c_51182,c_47413]) ).
tcf(c_171113,plain,
! [X0: $i,X1: $i] :
( v1_realset1(k2_relat_1(sK46(X0,X1)))
| ( X0 = np__0 ) ),
inference(superposition,[status(thm)],[c_51182,c_47415]) ).
tcf(c_171114,plain,
! [X0: $i,X1: $i] :
( ( X0 = np__0 )
| ( k3_tarski(k2_relat_1(sK46(X0,X1))) = X1 ) ),
inference(superposition,[status(thm)],[c_51182,c_502]) ).
tcf(c_171115,plain,
! [X0: $i,X1: $i] :
( ( X1 = np__0 )
| ( k5_xboole_0(X0,k1_setfam_1(k2_relat_1(sK46(X1,X0)))) = k4_xboole_0(X0,X0) ) ),
inference(superposition,[status(thm)],[c_51182,c_48956]) ).
tcf(c_171116,plain,
! [X0: $i,X1: $i] :
( ( X1 = np__0 )
| ( k4_xboole_0(X0,k1_setfam_1(k2_relat_1(sK46(X1,X0)))) = k4_xboole_0(X0,X0) ) ),
inference(superposition,[status(thm)],[c_51182,c_48904]) ).
tcf(c_171117,plain,
! [X0: $i,X1: $i] :
( ( X0 = np__0 )
| ( k4_xboole_0(k2_relat_1(sK46(X0,X1)),k2_relat_1(sK46(X0,X1))) = np__0 ) ),
inference(superposition,[status(thm)],[c_51182,c_48462]) ).
tcf(c_171118,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k2_relat_1(sK46(X0,X1)),k2_relat_1(sK46(X0,X1)))
| ( X0 = np__0 ) ),
inference(superposition,[status(thm)],[c_51182,c_47412]) ).
tcf(c_171119,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X1,k3_tarski(k2_relat_1(sK46(X0,X1))))
| ( X0 = np__0 ) ),
inference(superposition,[status(thm)],[c_51182,c_162055]) ).
tcf(c_171120,plain,
! [X0: $i,X1: $i] :
( m1_subset_1(X1,k2_relat_1(sK46(X0,X1)))
| ( X0 = np__0 ) ),
inference(superposition,[status(thm)],[c_51182,c_161352]) ).
tcf(c_171121,plain,
! [X0: $i,X1: $i] :
( r2_hidden(X1,k2_relat_1(sK46(X0,X1)))
| ( X0 = np__0 ) ),
inference(superposition,[status(thm)],[c_51182,c_2712]) ).
tcf(c_171122,plain,
! [X0: $i,X1: $i] :
( ( X0 = np__0 )
| ( k3_tarski(k2_relat_1(sK46(X0,k3_tarski(X1)))) = k3_tarski(k3_tarski(k2_tarski(X1,X1))) ) ),
inference(superposition,[status(thm)],[c_51182,c_2509]) ).
tcf(c_171123,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2 = np__0 )
| ( X0 = np__0 )
| ( k2_relat_1(sK46(X0,X1)) = k2_relat_1(sK46(X2,X1)) ) ),
inference(superposition,[status(thm)],[c_51182,c_51182]) ).
tcf(c_171124,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = np__0 )
| ( X0 = np__0 )
| ( k2_zfmisc_1(X0,k2_relat_1(sK46(X1,X2))) != np__0 ) ),
inference(superposition,[status(thm)],[c_51182,c_51168]) ).
tcf(c_171125,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_wellord2(k2_tarski(X1,X1),k2_relat_1(sK46(X0,X2)))
| ( X0 = np__0 ) ),
inference(superposition,[status(thm)],[c_51182,c_47591]) ).
tcf(c_171126,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_wellord2(X1,k1_funct_2(k2_relat_1(sK46(X0,X2)),X1))
| ( X0 = np__0 ) ),
inference(superposition,[status(thm)],[c_51182,c_47416]) ).
tcf(c_171127,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = np__0 )
| ( k3_tarski(k2_relat_1(sK46(X0,k2_tarski(X1,X2)))) != np__0 ) ),
inference(superposition,[status(thm)],[c_51182,c_2679]) ).
tcf(c_171128,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = np__0 )
| ( k3_tarski(k2_relat_1(sK46(X0,k2_tarski(X1,X2)))) = k2_enumset1(X1,X2,X1,X2) ) ),
inference(superposition,[status(thm)],[c_51182,c_3627]) ).
tcf(c_171209,plain,
! [X0: $i,X1: $i] :
( ( X0 = np__0 )
| ~ v1_xboole_0(sK46(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_171049,c_2655]) ).
tcf(c_171226,plain,
! [X0: $i,X1: $i] :
( ( X1 = np__0 )
| ( k4_xboole_0(X0,k1_setfam_1(k2_relat_1(sK46(X1,X0)))) = np__0 ) ),
inference(light_normalisation,[status(thm)],[c_171116,c_45740]) ).
tcf(c_171229,plain,
! [X0: $i,X1: $i] :
( ( X1 = np__0 )
| ( k5_xboole_0(X0,k1_setfam_1(k2_relat_1(sK46(X1,X0)))) = np__0 ) ),
inference(light_normalisation,[status(thm)],[c_171115,c_45740]) ).
tcf(c_171286,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = np__0 )
| ( k3_tarski(k2_relat_1(sK46(X0,k3_tarski(k2_tarski(X1,X2))))) = k3_tarski(k2_tarski(X1,X2)) ) ),
inference(light_normalisation,[status(thm)],[c_171082,c_159251]) ).
tcf(c_171293,plain,
! [X0: $i,X1: $i] :
( sP24(sK90(X0,X1))
| ~ r1_tarski(X1,X0)
| ~ v1_relat_1(sK90(X0,X1)) ),
inference(superposition,[status(thm)],[c_6868,c_2235]) ).
tcf(c_171303,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k5_finsub_1(X0),X1)
| r1_tarski(sK82(k5_finsub_1(X0),X1),X0) ),
inference(superposition,[status(thm)],[c_572,c_14776]) ).
tcf(c_171304,plain,
! [X0: $i] :
( r1_tarski(sK114(k5_finsub_1(X0)),X0)
| ( k5_finsub_1(X0) = np__0 ) ),
inference(superposition,[status(thm)],[c_697,c_14776]) ).
tcf(c_171305,plain,
! [X0: $i] :
( r1_tarski(sK127(k5_finsub_1(X0)),X0)
| ( k5_finsub_1(X0) = np__0 ) ),
inference(superposition,[status(thm)],[c_758,c_14776]) ).
tcf(c_171306,plain,
! [X0: $i] :
( sP9(k5_finsub_1(X0))
| v1_funct_1(k5_finsub_1(X0))
| r1_tarski(sK133(k5_finsub_1(X0)),X0) ),
inference(superposition,[status(thm)],[c_769,c_14776]) ).
tcf(c_171307,plain,
! [X0: $i] :
( sP9(k5_finsub_1(X0))
| v1_relat_1(k5_finsub_1(X0))
| r1_tarski(sK133(k5_finsub_1(X0)),X0) ),
inference(superposition,[status(thm)],[c_767,c_14776]) ).
tcf(c_171308,plain,
! [X0: $i] :
( v1_relat_1(k5_finsub_1(X0))
| r1_tarski(sK146(k5_finsub_1(X0)),X0) ),
inference(superposition,[status(thm)],[c_787,c_14776]) ).
tcf(c_171309,plain,
! [X0: $i] :
( v5_membered(k3_tarski(k5_finsub_1(X0)))
| r1_tarski(sK223(k5_finsub_1(X0)),X0) ),
inference(superposition,[status(thm)],[c_1321,c_14776]) ).
tcf(c_171310,plain,
! [X0: $i] :
( v5_membered(k5_finsub_1(X0))
| r1_tarski(sK229(k5_finsub_1(X0)),X0) ),
inference(superposition,[status(thm)],[c_1342,c_14776]) ).
tcf(c_171311,plain,
! [X0: $i] :
( v4_membered(k3_tarski(k5_finsub_1(X0)))
| r1_tarski(sK231(k5_finsub_1(X0)),X0) ),
inference(superposition,[status(thm)],[c_1413,c_14776]) ).
tcf(c_171312,plain,
! [X0: $i] :
( v4_membered(k5_finsub_1(X0))
| r1_tarski(sK237(k5_finsub_1(X0)),X0) ),
inference(superposition,[status(thm)],[c_1434,c_14776]) ).
tcf(c_171313,plain,
! [X0: $i] :
( v3_membered(k3_tarski(k5_finsub_1(X0)))
| r1_tarski(sK238(k5_finsub_1(X0)),X0) ),
inference(superposition,[status(thm)],[c_1483,c_14776]) ).
tcf(c_171314,plain,
! [X0: $i] :
( v2_membered(k3_tarski(k5_finsub_1(X0)))
| r1_tarski(sK239(k5_finsub_1(X0)),X0) ),
inference(superposition,[status(thm)],[c_1513,c_14776]) ).
tcf(c_171315,plain,
! [X0: $i] :
( v2_membered(k5_finsub_1(X0))
| r1_tarski(sK245(k5_finsub_1(X0)),X0) ),
inference(superposition,[status(thm)],[c_1534,c_14776]) ).
tcf(c_171316,plain,
! [X0: $i] :
( v1_membered(k3_tarski(k5_finsub_1(X0)))
| r1_tarski(sK246(k5_finsub_1(X0)),X0) ),
inference(superposition,[status(thm)],[c_1559,c_14776]) ).
tcf(c_171317,plain,
! [X0: $i] :
( v1_membered(k5_finsub_1(X0))
| r1_tarski(sK251(k5_finsub_1(X0)),X0) ),
inference(superposition,[status(thm)],[c_1577,c_14776]) ).
tcf(c_171318,plain,
! [X0: $i] :
( v1_realset1(k5_finsub_1(X0))
| r1_tarski(sK315(k5_finsub_1(X0)),X0) ),
inference(superposition,[status(thm)],[c_1986,c_14776]) ).
tcf(c_171319,plain,
! [X0: $i] :
( v1_realset1(k5_finsub_1(X0))
| r1_tarski(sK316(k5_finsub_1(X0)),X0) ),
inference(superposition,[status(thm)],[c_1987,c_14776]) ).
tcf(c_171320,plain,
! [X0: $i] :
( r1_tarski(sK381(k5_finsub_1(X0)),X0)
| ( k5_finsub_1(X0) = np__0 ) ),
inference(superposition,[status(thm)],[c_2399,c_14776]) ).
tcf(c_171321,plain,
! [X0: $i] :
( r1_tarski(sK382(k5_finsub_1(X0)),X0)
| ( k5_finsub_1(X0) = np__0 ) ),
inference(superposition,[status(thm)],[c_2401,c_14776]) ).
tcf(c_171322,plain,
! [X0: $i] :
( r1_tarski(sK383(k5_finsub_1(X0)),X0)
| ( k5_finsub_1(X0) = np__0 ) ),
inference(superposition,[status(thm)],[c_2403,c_14776]) ).
tcf(c_171323,plain,
! [X0: $i] :
( r1_tarski(sK384(k5_finsub_1(X0)),X0)
| ( k5_finsub_1(X0) = np__0 ) ),
inference(superposition,[status(thm)],[c_2405,c_14776]) ).
tcf(c_171324,plain,
! [X0: $i] :
( r1_tarski(sK385(k5_finsub_1(X0)),X0)
| ( k5_finsub_1(X0) = np__0 ) ),
inference(superposition,[status(thm)],[c_2407,c_14776]) ).
tcf(c_171325,plain,
! [X0: $i] :
( r1_tarski(sK386(k5_finsub_1(X0)),X0)
| ( k5_finsub_1(X0) = np__0 ) ),
inference(superposition,[status(thm)],[c_2409,c_14776]) ).
tcf(c_171326,plain,
! [X0: $i,X1: $i] :
( r1_xboole_0(k5_finsub_1(X0),X1)
| r1_tarski(sK392(k5_finsub_1(X0),X1),X0) ),
inference(superposition,[status(thm)],[c_2475,c_14776]) ).
tcf(c_171327,plain,
! [X0: $i,X1: $i] :
( r1_xboole_0(X0,k5_finsub_1(X1))
| r1_tarski(sK392(X0,k5_finsub_1(X1)),X1) ),
inference(superposition,[status(thm)],[c_2476,c_14776]) ).
tcf(c_171328,plain,
! [X0: $i] :
( v3_ordinal1(k3_tarski(k5_finsub_1(X0)))
| r1_tarski(sK395(k5_finsub_1(X0)),X0) ),
inference(superposition,[status(thm)],[c_2503,c_14776]) ).
tcf(c_171329,plain,
! [X0: $i] :
( v3_ordinal1(k1_setfam_1(k5_finsub_1(X0)))
| r1_tarski(sK400(k5_finsub_1(X0)),X0) ),
inference(superposition,[status(thm)],[c_2531,c_14776]) ).
tcf(c_171331,plain,
! [X0: $i] :
( v3_ordinal1(sK549(k5_finsub_1(X0)))
| r1_tarski(sK549(k5_finsub_1(X0)),X0) ),
inference(superposition,[status(thm)],[c_3503,c_14776]) ).
tcf(c_171332,plain,
! [X0: $i] :
( v3_ordinal1(sK551(k5_finsub_1(X0)))
| r1_tarski(sK550(k5_finsub_1(X0)),X0) ),
inference(superposition,[status(thm)],[c_3507,c_14776]) ).
tcf(c_171333,plain,
! [X0: $i] :
( v3_ordinal1(k5_finsub_1(X0))
| r1_tarski(sK552(k5_finsub_1(X0)),X0) ),
inference(superposition,[status(thm)],[c_3509,c_14776]) ).
tcf(c_171336,plain,
! [X0: $i] :
( r1_tarski(X0,np__0)
| ~ r2_hidden(X0,k1_zfmisc_1(np__0)) ),
inference(superposition,[status(thm)],[c_46572,c_14776]) ).
tcf(c_171434,plain,
! [X0: $i,X1: $i,X2: $i] : r2_hidden(X0,k3_tarski(k2_tarski(X1,k3_tarski(k2_tarski(X2,k2_tarski(X0,X0)))))),
inference(superposition,[status(thm)],[c_500,c_47393]) ).
tcf(c_171436,plain,
! [X0: $i,X1: $i,X2: $i] : r2_hidden(X0,k2_enumset1(X1,X2,X0,X0)),
inference(superposition,[status(thm)],[c_3627,c_47393]) ).
tcf(c_171437,plain,
! [X0: $i] : r2_hidden(X0,k2_tarski(X0,X0)),
inference(superposition,[status(thm)],[c_162072,c_47393]) ).
tcf(c_171438,plain,
! [X0: $i,X1: $i] : r2_hidden(X0,k3_tarski(k2_tarski(k2_tarski(X0,X0),X1))),
inference(superposition,[status(thm)],[c_2707,c_47393]) ).
tcf(c_171440,plain,
! [X0: $i,X1: $i] :
( r2_hidden(X1,k3_tarski(k2_relat_1(sK46(X0,k2_tarski(X1,X1)))))
| ( X0 = np__0 ) ),
inference(superposition,[status(thm)],[c_51182,c_47393]) ).
tcf(c_171441,plain,
! [X0: $i] : r2_hidden(X0,k3_tarski(k1_zfmisc_1(k2_tarski(X0,X0)))),
inference(superposition,[status(thm)],[c_50679,c_47393]) ).
tcf(c_171442,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(X1,k3_tarski(k2_tarski(X2,k2_relat_1(sK46(X0,X1)))))
| ( X0 = np__0 ) ),
inference(superposition,[status(thm)],[c_51182,c_47393]) ).
tcf(c_171443,plain,
! [X0: $i] : r2_hidden(np__0,k3_tarski(k2_tarski(X0,k1_zfmisc_1(np__0)))),
inference(superposition,[status(thm)],[c_47417,c_47393]) ).
tcf(c_171444,plain,
! [X0: $i,X1: $i] : ~ r2_hidden(k3_tarski(k2_tarski(X0,k2_tarski(X1,X1))),X1),
inference(superposition,[status(thm)],[c_47393,c_631]) ).
tcf(c_171445,plain,
! [X0: $i,X1: $i] : r2_hidden(sK92(k3_tarski(k2_tarski(X0,k2_tarski(X1,X1)))),k3_tarski(k2_tarski(X0,k2_tarski(X1,X1)))),
inference(superposition,[status(thm)],[c_47393,c_627]) ).
tcf(c_171446,plain,
! [X0: $i,X1: $i] : m1_subset_1(X0,k3_tarski(k2_tarski(X1,k2_tarski(X0,X0)))),
inference(superposition,[status(thm)],[c_47393,c_626]) ).
tcf(c_171447,plain,
! [X0: $i,X1: $i] : ~ v1_xboole_0(k3_tarski(k2_tarski(X0,k2_tarski(X1,X1)))),
inference(superposition,[status(thm)],[c_47393,c_597]) ).
tcf(c_171459,plain,
! [X0: $i] :
( v1_xboole_0(k4_xboole_0(X0,k2_tarski(np__0,np__0)))
| ~ v4_finsub_1(k4_xboole_0(X0,k2_tarski(np__0,np__0))) ),
inference(superposition,[status(thm)],[c_3600,c_47394]) ).
tcf(c_171465,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2 = np__0 )
| ~ r2_hidden(X0,k4_xboole_0(X1,k2_relat_1(sK46(X2,X0)))) ),
inference(superposition,[status(thm)],[c_51182,c_47394]) ).
tcf(c_171466,plain,
! [X0: $i] : ~ r2_hidden(np__0,k4_xboole_0(X0,k1_zfmisc_1(np__0))),
inference(superposition,[status(thm)],[c_47417,c_47394]) ).
tcf(c_171469,plain,
! [X0: $i] :
( v1_xboole_0(k4_xboole_0(X0,k1_zfmisc_1(np__0)))
| ~ v4_finsub_1(k4_xboole_0(X0,k1_zfmisc_1(np__0))) ),
inference(light_normalisation,[status(thm)],[c_171459,c_47417]) ).
tcf(c_171474,plain,
v1_membered(k1_setfam_1(k1_zfmisc_1(k3_numbers))),
inference(superposition,[status(thm)],[c_171004,c_162769]) ).
tcf(c_171475,plain,
v2_membered(k1_setfam_1(k1_zfmisc_1(k3_numbers))),
inference(superposition,[status(thm)],[c_171004,c_1511]) ).
tcf(c_171476,plain,
! [X0: $i] : v1_membered(k1_setfam_1(k2_tarski(X0,k3_numbers))),
inference(superposition,[status(thm)],[c_48896,c_171027]) ).
tcf(c_171477,plain,
! [X0: $i] : v1_membered(k1_setfam_1(k2_tarski(k3_numbers,X0))),
inference(superposition,[status(thm)],[c_2532,c_171027]) ).
tcf(c_171478,plain,
! [X0: $i,X1: $i] : v1_membered(k4_xboole_0(k4_xboole_0(k3_numbers,X0),X1)),
inference(superposition,[status(thm)],[c_484,c_171027]) ).
tcf(c_171485,plain,
! [X0: $i] : v2_membered(k1_setfam_1(k2_tarski(X0,k3_numbers))),
inference(superposition,[status(thm)],[c_48896,c_171028]) ).
tcf(c_171486,plain,
! [X0: $i] : v2_membered(k1_setfam_1(k2_tarski(k3_numbers,X0))),
inference(superposition,[status(thm)],[c_2532,c_171028]) ).
tcf(c_171487,plain,
! [X0: $i,X1: $i] : v2_membered(k4_xboole_0(k4_xboole_0(k3_numbers,X0),X1)),
inference(superposition,[status(thm)],[c_484,c_171028]) ).
tcf(c_171496,plain,
v1_membered(k2_relat_1(sK115(k3_numbers,np__0))),
inference(superposition,[status(thm)],[c_170995,c_162769]) ).
tcf(c_171497,plain,
v2_membered(k2_relat_1(sK115(k3_numbers,np__0))),
inference(superposition,[status(thm)],[c_170995,c_1511]) ).
tcf(c_171528,plain,
! [X0: $i,X1: $i] : k4_xboole_0(k5_xboole_0(X0,X1),k1_setfam_1(k2_tarski(k4_xboole_0(X1,X0),k4_xboole_0(X0,X1)))) = k5_xboole_0(k4_xboole_0(X0,X1),k4_xboole_0(X1,X0)),
inference(superposition,[status(thm)],[c_2624,c_51197]) ).
tcf(c_171529,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : k4_xboole_0(k4_xboole_0(k2_zfmisc_1(X0,X1),k2_zfmisc_1(X2,X3)),k1_setfam_1(k2_tarski(k2_zfmisc_1(X0,k4_xboole_0(X1,X3)),k2_zfmisc_1(k4_xboole_0(X0,X2),X1)))) = k5_xboole_0(k2_zfmisc_1(k4_xboole_0(X0,X2),X1),k2_zfmisc_1(X0,k4_xboole_0(X1,X3))),
inference(superposition,[status(thm)],[c_471,c_51197]) ).
tcf(c_171530,plain,
! [X0: $i,X1: $i,X2: $i] : k4_xboole_0(k2_zfmisc_1(X0,k3_tarski(k2_tarski(X1,X2))),k1_setfam_1(k2_tarski(k2_zfmisc_1(X0,X2),k2_zfmisc_1(X0,X1)))) = k5_xboole_0(k2_zfmisc_1(X0,X1),k2_zfmisc_1(X0,X2)),
inference(superposition,[status(thm)],[c_474,c_51197]) ).
tcf(c_171531,plain,
! [X0: $i,X1: $i,X2: $i] : k4_xboole_0(k2_zfmisc_1(k3_tarski(k2_tarski(X0,X1)),X2),k1_setfam_1(k2_tarski(k2_zfmisc_1(X1,X2),k2_zfmisc_1(X0,X2)))) = k5_xboole_0(k2_zfmisc_1(X0,X2),k2_zfmisc_1(X1,X2)),
inference(superposition,[status(thm)],[c_473,c_51197]) ).
tcf(c_171532,plain,
! [X0: $i,X1: $i,X2: $i] : k4_xboole_0(k3_tarski(k2_tarski(X0,k3_tarski(k2_tarski(X1,X2)))),k1_setfam_1(k2_tarski(X2,k3_tarski(k2_tarski(X0,X1))))) = k5_xboole_0(k3_tarski(k2_tarski(X0,X1)),X2),
inference(superposition,[status(thm)],[c_500,c_51197]) ).
tcf(c_171533,plain,
! [X0: $i,X1: $i] : k4_xboole_0(k3_tarski(k2_tarski(X0,X1)),k1_setfam_1(k2_tarski(k4_xboole_0(X1,X0),X0))) = k5_xboole_0(X0,k4_xboole_0(X1,X0)),
inference(superposition,[status(thm)],[c_486,c_51197]) ).
tcf(c_171534,plain,
! [X0: $i,X1: $i,X2: $i] : k4_xboole_0(k4_xboole_0(k3_tarski(k2_tarski(X0,X1)),X2),k1_setfam_1(k2_tarski(k4_xboole_0(X1,X2),k4_xboole_0(X0,X2)))) = k5_xboole_0(k4_xboole_0(X0,X2),k4_xboole_0(X1,X2)),
inference(superposition,[status(thm)],[c_483,c_51197]) ).
tcf(c_171535,plain,
! [X0: $i,X1: $i] : k4_xboole_0(k3_tarski(k2_tarski(X0,X1)),k1_setfam_1(k2_tarski(k3_tarski(k2_tarski(X0,X1)),X0))) = k5_xboole_0(X0,k3_tarski(k2_tarski(X0,X1))),
inference(superposition,[status(thm)],[c_498,c_51197]) ).
tcf(c_171536,plain,
! [X0: $i] : k4_xboole_0(X0,k1_setfam_1(k2_tarski(np__0,X0))) = k5_xboole_0(X0,np__0),
inference(superposition,[status(thm)],[c_501,c_51197]) ).
tcf(c_171537,plain,
! [X0: $i] : k4_xboole_0(X0,k1_setfam_1(k2_tarski(X0,X0))) = k5_xboole_0(X0,X0),
inference(superposition,[status(thm)],[c_502,c_51197]) ).
tcf(c_171538,plain,
! [X0: $i,X1: $i] : k4_xboole_0(k3_tarski(k3_tarski(k2_tarski(X0,X1))),k1_setfam_1(k2_tarski(k3_tarski(X1),k3_tarski(X0)))) = k5_xboole_0(k3_tarski(X0),k3_tarski(X1)),
inference(superposition,[status(thm)],[c_2509,c_51197]) ).
tcf(c_171539,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : k4_xboole_0(k2_enumset1(X0,X1,X2,X3),k1_setfam_1(k2_tarski(k2_tarski(X2,X3),k2_tarski(X0,X1)))) = k5_xboole_0(k2_tarski(X0,X1),k2_tarski(X2,X3)),
inference(superposition,[status(thm)],[c_3627,c_51197]) ).
tcf(c_171540,plain,
! [X0: $i,X1: $i] : k4_xboole_0(X0,k1_setfam_1(k2_tarski(k1_setfam_1(k2_tarski(X0,X1)),X0))) = k5_xboole_0(X0,k1_setfam_1(k2_tarski(X0,X1))),
inference(superposition,[status(thm)],[c_48096,c_51197]) ).
tcf(c_171541,plain,
! [X0: $i] : k4_xboole_0(X0,k1_setfam_1(k2_tarski(X0,np__0))) = k5_xboole_0(np__0,X0),
inference(superposition,[status(thm)],[c_162072,c_51197]) ).
tcf(c_171542,plain,
! [X0: $i,X1: $i] : k4_xboole_0(k3_tarski(k2_tarski(X0,X1)),k1_setfam_1(k2_tarski(X0,X1))) = k5_xboole_0(X1,X0),
inference(superposition,[status(thm)],[c_2707,c_51197]) ).
tcf(c_171546,plain,
! [X0: $i] : k4_xboole_0(k3_tarski(k1_zfmisc_1(k2_tarski(X0,X0))),k1_setfam_1(k2_tarski(k2_tarski(X0,X0),np__0))) = k5_xboole_0(np__0,k2_tarski(X0,X0)),
inference(superposition,[status(thm)],[c_50679,c_51197]) ).
tcf(c_171548,plain,
! [X0: $i] : k4_xboole_0(k3_tarski(k2_tarski(np__0,X0)),np__0) = k5_xboole_0(np__0,X0),
inference(superposition,[status(thm)],[c_160609,c_51197]) ).
tcf(c_171549,plain,
! [X0: $i] : k4_xboole_0(k3_tarski(k2_tarski(X0,np__0)),np__0) = k5_xboole_0(X0,np__0),
inference(superposition,[status(thm)],[c_160608,c_51197]) ).
tcf(c_171550,plain,
! [X0: $i,X1: $i] : k4_xboole_0(k3_tarski(k2_tarski(X0,X1)),k1_setfam_1(k2_tarski(X0,X1))) = k5_xboole_0(X0,X1),
inference(superposition,[status(thm)],[c_2707,c_51197]) ).
tcf(c_171552,plain,
! [X0: $i,X1: $i] :
( ( X0 = np__0 )
| ( k4_xboole_0(k3_tarski(k2_relat_1(sK46(X0,X1))),k1_setfam_1(k2_relat_1(sK46(X0,X1)))) = k5_xboole_0(X1,X1) ) ),
inference(superposition,[status(thm)],[c_51182,c_51197]) ).
tcf(c_171553,plain,
k4_xboole_0(k3_tarski(k1_zfmisc_1(np__0)),k1_setfam_1(k1_zfmisc_1(np__0))) = k5_xboole_0(np__0,np__0),
inference(superposition,[status(thm)],[c_47417,c_51197]) ).
tcf(c_171554,plain,
! [X0: $i] : k4_xboole_0(k3_tarski(k2_tarski(k2_tarski(X0,X0),np__0)),k1_setfam_1(k1_zfmisc_1(k2_tarski(X0,X0)))) = k5_xboole_0(k2_tarski(X0,X0),np__0),
inference(superposition,[status(thm)],[c_50679,c_51197]) ).
tcf(c_171555,plain,
! [X0: $i,X1: $i] : ~ r2_hidden(k3_tarski(k2_tarski(X0,X1)),k5_xboole_0(X0,X1)),
inference(superposition,[status(thm)],[c_51197,c_167156]) ).
tcf(c_171556,plain,
! [X0: $i,X1: $i] : k1_setfam_1(k2_tarski(k1_setfam_1(k2_tarski(X0,X1)),k3_tarski(k2_tarski(X1,X0)))) = k4_xboole_0(k3_tarski(k2_tarski(X1,X0)),k5_xboole_0(X1,X0)),
inference(superposition,[status(thm)],[c_51197,c_48896]) ).
tcf(c_171557,plain,
! [X0: $i,X1: $i,X2: $i] : r1_tarski(k4_xboole_0(k5_xboole_0(X0,X1),X2),k3_tarski(k2_tarski(X0,X1))),
inference(superposition,[status(thm)],[c_51197,c_159540]) ).
tcf(c_171558,plain,
! [X0: $i,X1: $i] : r1_tarski(k5_xboole_0(X0,X1),k5_xboole_0(k3_tarski(k2_tarski(X0,X1)),k1_setfam_1(k2_tarski(X1,X0)))),
inference(superposition,[status(thm)],[c_51197,c_2608]) ).
tcf(c_171559,plain,
! [X0: $i,X1: $i] : r1_xboole_0(k5_xboole_0(X0,X1),k4_xboole_0(k1_setfam_1(k2_tarski(X1,X0)),k3_tarski(k2_tarski(X0,X1)))),
inference(superposition,[status(thm)],[c_51197,c_2447]) ).
tcf(c_171560,plain,
! [X0: $i,X1: $i] :
( v1_relat_1(k5_xboole_0(X0,X1))
| ~ v1_relat_1(k3_tarski(k2_tarski(X0,X1))) ),
inference(superposition,[status(thm)],[c_51197,c_1711]) ).
tcf(c_171561,plain,
! [X0: $i,X1: $i] :
( v1_finset_1(k5_xboole_0(X0,X1))
| ~ v1_finset_1(k3_tarski(k2_tarski(X0,X1))) ),
inference(superposition,[status(thm)],[c_51197,c_1691]) ).
tcf(c_171562,plain,
! [X0: $i,X1: $i] :
( v1_membered(k5_xboole_0(X0,X1))
| ~ v1_membered(k3_tarski(k2_tarski(X0,X1))) ),
inference(superposition,[status(thm)],[c_51197,c_1579]) ).
tcf(c_171563,plain,
! [X0: $i,X1: $i] :
( v2_membered(k5_xboole_0(X0,X1))
| ~ v2_membered(k3_tarski(k2_tarski(X0,X1))) ),
inference(superposition,[status(thm)],[c_51197,c_1537]) ).
tcf(c_171564,plain,
! [X0: $i,X1: $i] :
( v1_membered(k5_xboole_0(X0,X1))
| ~ v2_membered(k3_tarski(k2_tarski(X0,X1))) ),
inference(superposition,[status(thm)],[c_51197,c_1536]) ).
tcf(c_171565,plain,
! [X0: $i,X1: $i] :
( v3_membered(k5_xboole_0(X0,X1))
| ~ v3_membered(k3_tarski(k2_tarski(X0,X1))) ),
inference(superposition,[status(thm)],[c_51197,c_1491]) ).
tcf(c_171566,plain,
! [X0: $i,X1: $i] :
( v2_membered(k5_xboole_0(X0,X1))
| ~ v3_membered(k3_tarski(k2_tarski(X0,X1))) ),
inference(superposition,[status(thm)],[c_51197,c_1490]) ).
tcf(c_171567,plain,
! [X0: $i,X1: $i] :
( v1_membered(k5_xboole_0(X0,X1))
| ~ v3_membered(k3_tarski(k2_tarski(X0,X1))) ),
inference(superposition,[status(thm)],[c_51197,c_1489]) ).
tcf(c_171568,plain,
! [X0: $i,X1: $i] :
( v4_membered(k5_xboole_0(X0,X1))
| ~ v4_membered(k3_tarski(k2_tarski(X0,X1))) ),
inference(superposition,[status(thm)],[c_51197,c_1443]) ).
tcf(c_171569,plain,
! [X0: $i,X1: $i] :
( v3_membered(k5_xboole_0(X0,X1))
| ~ v4_membered(k3_tarski(k2_tarski(X0,X1))) ),
inference(superposition,[status(thm)],[c_51197,c_1442]) ).
tcf(c_171570,plain,
! [X0: $i,X1: $i] :
( v2_membered(k5_xboole_0(X0,X1))
| ~ v4_membered(k3_tarski(k2_tarski(X0,X1))) ),
inference(superposition,[status(thm)],[c_51197,c_1441]) ).
tcf(c_171571,plain,
! [X0: $i,X1: $i] :
( v1_membered(k5_xboole_0(X0,X1))
| ~ v4_membered(k3_tarski(k2_tarski(X0,X1))) ),
inference(superposition,[status(thm)],[c_51197,c_1440]) ).
tcf(c_171572,plain,
! [X0: $i,X1: $i] :
( v5_membered(k5_xboole_0(X0,X1))
| ~ v5_membered(k3_tarski(k2_tarski(X0,X1))) ),
inference(superposition,[status(thm)],[c_51197,c_1353]) ).
tcf(c_171573,plain,
! [X0: $i,X1: $i] :
( v4_membered(k5_xboole_0(X0,X1))
| ~ v5_membered(k3_tarski(k2_tarski(X0,X1))) ),
inference(superposition,[status(thm)],[c_51197,c_1352]) ).
tcf(c_171574,plain,
! [X0: $i,X1: $i] :
( v3_membered(k5_xboole_0(X0,X1))
| ~ v5_membered(k3_tarski(k2_tarski(X0,X1))) ),
inference(superposition,[status(thm)],[c_51197,c_1351]) ).
tcf(c_171575,plain,
! [X0: $i,X1: $i] :
( v2_membered(k5_xboole_0(X0,X1))
| ~ v5_membered(k3_tarski(k2_tarski(X0,X1))) ),
inference(superposition,[status(thm)],[c_51197,c_1350]) ).
tcf(c_171576,plain,
! [X0: $i,X1: $i] :
( v1_membered(k5_xboole_0(X0,X1))
| ~ v5_membered(k3_tarski(k2_tarski(X0,X1))) ),
inference(superposition,[status(thm)],[c_51197,c_1349]) ).
tcf(c_171577,plain,
! [X0: $i,X1: $i] : k3_tarski(k2_tarski(k5_xboole_0(X0,X1),k4_xboole_0(k1_setfam_1(k2_tarski(X1,X0)),k3_tarski(k2_tarski(X0,X1))))) = k5_xboole_0(k3_tarski(k2_tarski(X0,X1)),k1_setfam_1(k2_tarski(X1,X0))),
inference(superposition,[status(thm)],[c_51197,c_2624]) ).
tcf(c_171578,plain,
! [X0: $i,X1: $i] : k1_setfam_1(k2_tarski(k3_tarski(k2_tarski(X0,X1)),k1_setfam_1(k2_tarski(X1,X0)))) = k4_xboole_0(k3_tarski(k2_tarski(X0,X1)),k5_xboole_0(X0,X1)),
inference(superposition,[status(thm)],[c_51197,c_2532]) ).
tcf(c_171579,plain,
! [X0: $i,X1: $i] : r1_xboole_0(k5_xboole_0(X0,X1),k1_setfam_1(k2_tarski(X1,X0))),
inference(superposition,[status(thm)],[c_51197,c_2450]) ).
tcf(c_171580,plain,
! [X0: $i,X1: $i] : r1_tarski(k5_xboole_0(X0,X1),k3_tarski(k2_tarski(X0,X1))),
inference(superposition,[status(thm)],[c_51197,c_1734]) ).
tcf(c_171581,plain,
! [X0: $i,X1: $i,X2: $i] : k4_xboole_0(k3_tarski(k2_tarski(k3_tarski(k2_tarski(X0,X1)),X2)),k1_setfam_1(k2_tarski(X1,X0))) = k3_tarski(k2_tarski(k5_xboole_0(X0,X1),k4_xboole_0(X2,k1_setfam_1(k2_tarski(X1,X0))))),
inference(superposition,[status(thm)],[c_51197,c_483]) ).
tcf(c_171582,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : k3_tarski(k2_tarski(k2_zfmisc_1(k5_xboole_0(X0,X1),X2),k2_zfmisc_1(k3_tarski(k2_tarski(X0,X1)),k4_xboole_0(X2,X3)))) = k4_xboole_0(k2_zfmisc_1(k3_tarski(k2_tarski(X0,X1)),X2),k2_zfmisc_1(k1_setfam_1(k2_tarski(X1,X0)),X3)),
inference(superposition,[status(thm)],[c_51197,c_471]) ).
tcf(c_171583,plain,
! [X0: $i,X1: $i] : r1_xboole_0(k1_setfam_1(k2_tarski(X0,X1)),k5_xboole_0(X1,X0)),
inference(superposition,[status(thm)],[c_51197,c_164220]) ).
tcf(c_171584,plain,
! [X0: $i,X1: $i] : r1_xboole_0(k4_xboole_0(k1_setfam_1(k2_tarski(X0,X1)),k3_tarski(k2_tarski(X1,X0))),k5_xboole_0(X1,X0)),
inference(superposition,[status(thm)],[c_51197,c_2447]) ).
tcf(c_171585,plain,
! [X0: $i,X1: $i] : k3_tarski(k2_tarski(k4_xboole_0(k1_setfam_1(k2_tarski(X0,X1)),k3_tarski(k2_tarski(X1,X0))),k5_xboole_0(X1,X0))) = k5_xboole_0(k1_setfam_1(k2_tarski(X0,X1)),k3_tarski(k2_tarski(X1,X0))),
inference(superposition,[status(thm)],[c_51197,c_2624]) ).
tcf(c_171586,plain,
! [X0: $i,X1: $i] : k3_tarski(k2_tarski(k1_setfam_1(k2_tarski(X0,X1)),k3_tarski(k2_tarski(X1,X0)))) = k5_xboole_0(k1_setfam_1(k2_tarski(X0,X1)),k5_xboole_0(X1,X0)),
inference(superposition,[status(thm)],[c_51197,c_2606]) ).
tcf(c_171587,plain,
! [X0: $i,X1: $i] : k3_tarski(k2_tarski(k1_setfam_1(k2_tarski(X0,X1)),k3_tarski(k2_tarski(X1,X0)))) = k3_tarski(k2_tarski(k1_setfam_1(k2_tarski(X0,X1)),k5_xboole_0(X1,X0))),
inference(superposition,[status(thm)],[c_51197,c_486]) ).
tcf(c_171588,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : k3_tarski(k2_tarski(k2_zfmisc_1(k4_xboole_0(X0,X1),k3_tarski(k2_tarski(X2,X3))),k2_zfmisc_1(X0,k5_xboole_0(X2,X3)))) = k4_xboole_0(k2_zfmisc_1(X0,k3_tarski(k2_tarski(X2,X3))),k2_zfmisc_1(X1,k1_setfam_1(k2_tarski(X3,X2)))),
inference(superposition,[status(thm)],[c_51197,c_471]) ).
tcf(c_171589,plain,
! [X0: $i,X1: $i,X2: $i] : k4_xboole_0(k3_tarski(k2_tarski(X0,k3_tarski(k2_tarski(X1,X2)))),k1_setfam_1(k2_tarski(X2,X1))) = k3_tarski(k2_tarski(k4_xboole_0(X0,k1_setfam_1(k2_tarski(X2,X1))),k5_xboole_0(X1,X2))),
inference(superposition,[status(thm)],[c_51197,c_483]) ).
tcf(c_171628,plain,
! [X0: $i] : k4_xboole_0(X0,k4_xboole_0(np__0,np__0)) = X0,
inference(light_normalisation,[status(thm)],[c_171536,c_2614,c_160599]) ).
tcf(c_171630,plain,
! [X0: $i,X1: $i] : k4_xboole_0(X0,k5_xboole_0(X0,k4_xboole_0(X0,X1))) = k4_xboole_0(X0,X1),
inference(light_normalisation,[status(thm)],[c_171540,c_169283,c_169984]) ).
tcf(c_171631,plain,
! [X0: $i,X1: $i] : k4_xboole_0(k3_tarski(k2_tarski(X0,X1)),k1_setfam_1(k2_tarski(k4_xboole_0(X1,X0),X0))) = k3_tarski(k2_tarski(X0,X1)),
inference(light_normalisation,[status(thm)],[c_171533,c_2606]) ).
tcf(c_171632,plain,
! [X0: $i] : k4_xboole_0(k3_tarski(k2_tarski(k2_tarski(X0,X0),np__0)),k1_setfam_1(k1_zfmisc_1(k2_tarski(X0,X0)))) = k5_xboole_0(np__0,k2_tarski(X0,X0)),
inference(theory_normalisation,[status(thm)],[c_171554,c_2613,c_2615]) ).
tcf(c_171633,plain,
! [X0: $i] : k4_xboole_0(k3_tarski(k2_tarski(k2_tarski(X0,X0),np__0)),np__0) = k5_xboole_0(np__0,k2_tarski(X0,X0)),
inference(light_normalisation,[status(thm)],[c_171632,c_170472]) ).
tcf(c_171634,plain,
! [X0: $i,X1: $i] : k3_tarski(k2_tarski(k1_setfam_1(k2_tarski(X0,X1)),k3_tarski(k2_tarski(X1,X0)))) = k5_xboole_0(X0,k5_xboole_0(X1,k1_setfam_1(k2_tarski(X0,X1)))),
inference(theory_normalisation,[status(thm)],[c_171586,c_2613,c_2615]) ).
tcf(c_171637,plain,
! [X0: $i,X1: $i] : k3_tarski(k2_tarski(k4_xboole_0(k1_setfam_1(k2_tarski(X0,X1)),k3_tarski(k2_tarski(X1,X0))),k5_xboole_0(X1,X0))) = k5_xboole_0(k3_tarski(k2_tarski(X1,X0)),k1_setfam_1(k2_tarski(X0,X1))),
inference(theory_normalisation,[status(thm)],[c_171585,c_2613,c_2615]) ).
tcf(c_171638,plain,
! [X0: $i,X1: $i,X2: $i] : k4_xboole_0(k3_tarski(k2_tarski(X0,k3_tarski(k2_tarski(X1,X2)))),k1_setfam_1(k2_tarski(X0,X1))) = k3_tarski(k2_tarski(k5_xboole_0(X1,X0),k4_xboole_0(X2,k1_setfam_1(k2_tarski(X0,X1))))),
inference(light_normalisation,[status(thm)],[c_171581,c_162059]) ).
tcf(c_171686,plain,
! [X0: $i,X1: $i] : ~ v1_xboole_0(k3_tarski(k2_tarski(X0,k3_tarski(k2_tarski(X1,k2_tarski(k3_tarski(k2_tarski(X0,X1)),k3_tarski(k2_tarski(X0,X1)))))))),
inference(superposition,[status(thm)],[c_500,c_47396]) ).
tcf(c_171687,plain,
! [X0: $i,X1: $i] : ~ v1_xboole_0(k2_enumset1(X0,X1,k2_tarski(X0,X1),k2_tarski(X0,X1))),
inference(superposition,[status(thm)],[c_3627,c_47396]) ).
tcf(c_171688,plain,
~ v1_xboole_0(k2_tarski(np__0,np__0)),
inference(superposition,[status(thm)],[c_162072,c_47396]) ).
tcf(c_171689,plain,
~ v1_xboole_0(k3_tarski(k1_zfmisc_1(k2_tarski(np__0,np__0)))),
inference(superposition,[status(thm)],[c_50679,c_47396]) ).
tcf(c_171690,plain,
! [X0: $i,X1: $i] :
( ( X1 = np__0 )
| ~ v1_xboole_0(k3_tarski(k2_tarski(X0,k2_relat_1(sK46(X1,X0))))) ),
inference(superposition,[status(thm)],[c_51182,c_47396]) ).
tcf(c_171691,plain,
~ v1_xboole_0(k3_tarski(k2_tarski(np__0,k1_zfmisc_1(np__0)))),
inference(superposition,[status(thm)],[c_47417,c_47396]) ).
tcf(c_171693,plain,
~ v1_xboole_0(k3_tarski(k1_zfmisc_1(k1_zfmisc_1(np__0)))),
inference(light_normalisation,[status(thm)],[c_171691,c_170434]) ).
tcf(c_171700,plain,
! [X0: $i] : r1_xboole_0(X0,k5_xboole_0(X0,X0)),
inference(superposition,[status(thm)],[c_47410,c_47705]) ).
tcf(c_171701,plain,
! [X0: $i] : r1_xboole_0(np__0,k5_xboole_0(X0,np__0)),
inference(superposition,[status(thm)],[c_160609,c_47705]) ).
tcf(c_171702,plain,
! [X0: $i] : r1_xboole_0(np__0,k5_xboole_0(np__0,X0)),
inference(superposition,[status(thm)],[c_160608,c_47705]) ).
tcf(c_171705,plain,
! [X0: $i,X1: $i] :
( r1_xboole_0(k1_setfam_1(k2_relat_1(sK46(X0,X1))),k5_xboole_0(X1,X1))
| ( X0 = np__0 ) ),
inference(superposition,[status(thm)],[c_51182,c_47705]) ).
tcf(c_171706,plain,
r1_xboole_0(k1_setfam_1(k1_zfmisc_1(np__0)),k5_xboole_0(np__0,np__0)),
inference(superposition,[status(thm)],[c_47417,c_47705]) ).
tcf(c_171707,plain,
! [X0: $i] : r1_xboole_0(k1_setfam_1(k1_zfmisc_1(k2_tarski(X0,X0))),k5_xboole_0(np__0,k2_tarski(X0,X0))),
inference(superposition,[status(thm)],[c_50679,c_47705]) ).
tcf(c_171709,plain,
! [X0: $i,X1: $i] : r1_xboole_0(k1_setfam_1(k2_tarski(X0,k4_xboole_0(X1,X0))),k3_tarski(k2_tarski(X0,X1))),
inference(superposition,[status(thm)],[c_2606,c_47705]) ).
tcf(c_171710,plain,
! [X0: $i] : r1_xboole_0(k1_setfam_1(k2_tarski(X0,X0)),np__0),
inference(superposition,[status(thm)],[c_2612,c_47705]) ).
tcf(c_171711,plain,
! [X0: $i,X1: $i,X2: $i] : r1_xboole_0(k1_setfam_1(k2_tarski(k5_xboole_0(X0,X1),X2)),k5_xboole_0(X0,k5_xboole_0(X1,X2))),
inference(superposition,[status(thm)],[c_2613,c_47705]) ).
tcf(c_171712,plain,
! [X0: $i] : r1_xboole_0(k1_setfam_1(k2_tarski(X0,np__0)),X0),
inference(superposition,[status(thm)],[c_2614,c_47705]) ).
tcf(c_171714,plain,
! [X0: $i,X1: $i] : r1_xboole_0(k1_setfam_1(k2_tarski(X0,k5_xboole_0(X1,k3_tarski(k2_tarski(X0,X1))))),k1_setfam_1(k2_tarski(X1,X0))),
inference(superposition,[status(thm)],[c_50414,c_47705]) ).
tcf(c_171715,plain,
! [X0: $i] : r1_xboole_0(k1_setfam_1(k2_tarski(np__0,X0)),X0),
inference(superposition,[status(thm)],[c_160917,c_47705]) ).
tcf(c_171716,plain,
! [X0: $i,X1: $i] : r1_xboole_0(k1_setfam_1(k2_tarski(X0,k1_setfam_1(k2_tarski(X1,X0)))),k4_xboole_0(X0,X1)),
inference(superposition,[status(thm)],[c_48956,c_47705]) ).
tcf(c_171717,plain,
! [X0: $i,X1: $i] : r1_xboole_0(k5_xboole_0(X0,X1),k1_setfam_1(k2_tarski(X0,X1))),
inference(superposition,[status(thm)],[c_47705,c_2470]) ).
tcf(c_171721,plain,
! [X0: $i] : r1_xboole_0(k4_xboole_0(np__0,np__0),X0),
inference(light_normalisation,[status(thm)],[c_171715,c_160599]) ).
tcf(c_171724,plain,
r1_xboole_0(np__0,k4_xboole_0(np__0,np__0)),
inference(light_normalisation,[status(thm)],[c_171706,c_165500,c_169294]) ).
tcf(c_171726,plain,
! [X0: $i] : r1_xboole_0(np__0,k5_xboole_0(np__0,k2_tarski(X0,X0))),
inference(light_normalisation,[status(thm)],[c_171707,c_170472]) ).
tcf(c_171741,plain,
! [X0: $i,X1: $i] :
( v1_finset_1(k1_setfam_1(k2_relat_1(sK46(X1,X0))))
| ( X1 = np__0 )
| ~ v1_finset_1(X0) ),
inference(superposition,[status(thm)],[c_51182,c_47706]) ).
tcf(c_171742,plain,
( v1_finset_1(k1_setfam_1(k1_zfmisc_1(np__0)))
| ~ v1_finset_1(np__0) ),
inference(superposition,[status(thm)],[c_47417,c_47706]) ).
tcf(c_171743,plain,
! [X0: $i] :
( v1_finset_1(k1_setfam_1(k1_zfmisc_1(k2_tarski(X0,X0))))
| ~ v1_finset_1(k2_tarski(X0,X0)) ),
inference(superposition,[status(thm)],[c_50679,c_47706]) ).
tcf(c_171745,plain,
! [X0: $i] :
( v1_finset_1(np__0)
| ~ v1_finset_1(k2_tarski(X0,X0)) ),
inference(light_normalisation,[status(thm)],[c_171743,c_170472]) ).
tcf(c_171760,plain,
! [X0: $i] :
( v2_membered(k7_relat_1(k3_numbers,X0))
| ~ v1_relat_1(k3_numbers) ),
inference(superposition,[status(thm)],[c_2067,c_167227]) ).
tcf(c_171761,plain,
! [X0: $i] :
( v2_membered(k1_setfam_1(X0))
| ~ r2_hidden(k3_numbers,X0) ),
inference(superposition,[status(thm)],[c_2541,c_167227]) ).
tcf(c_171764,plain,
! [X0: $i] :
( v2_membered(k8_relat_1(X0,k3_numbers))
| ~ v1_relat_1(k3_numbers) ),
inference(superposition,[status(thm)],[c_3314,c_167227]) ).
tcf(c_171788,plain,
! [X0: $i] :
( v1_membered(k7_relat_1(k3_numbers,X0))
| ~ v1_relat_1(k3_numbers) ),
inference(superposition,[status(thm)],[c_2067,c_167228]) ).
tcf(c_171789,plain,
! [X0: $i] :
( v1_membered(k1_setfam_1(X0))
| ~ r2_hidden(k3_numbers,X0) ),
inference(superposition,[status(thm)],[c_2541,c_167228]) ).
tcf(c_171792,plain,
! [X0: $i] :
( v1_membered(k8_relat_1(X0,k3_numbers))
| ~ v1_relat_1(k3_numbers) ),
inference(superposition,[status(thm)],[c_3314,c_167228]) ).
tcf(c_171813,plain,
v2_membered(k2_relat_1(sK115(k1_numbers,np__0))),
inference(superposition,[status(thm)],[c_723,c_167229]) ).
tcf(c_171815,plain,
! [X0: $i] : v2_membered(k4_xboole_0(k1_numbers,X0)),
inference(superposition,[status(thm)],[c_1734,c_167229]) ).
tcf(c_171816,plain,
! [X0: $i] :
( v2_membered(k7_relat_1(k1_numbers,X0))
| ~ v1_relat_1(k1_numbers) ),
inference(superposition,[status(thm)],[c_2067,c_167229]) ).
tcf(c_171817,plain,
! [X0: $i] :
( v2_membered(k1_setfam_1(X0))
| ~ r2_hidden(k1_numbers,X0) ),
inference(superposition,[status(thm)],[c_2541,c_167229]) ).
tcf(c_171821,plain,
! [X0: $i] :
( v2_membered(k8_relat_1(X0,k1_numbers))
| ~ v1_relat_1(k1_numbers) ),
inference(superposition,[status(thm)],[c_3314,c_167229]) ).
tcf(c_171822,plain,
! [X0: $i,X1: $i] : v2_membered(k4_xboole_0(k4_xboole_0(k1_numbers,X0),X1)),
inference(superposition,[status(thm)],[c_159540,c_167229]) ).
tcf(c_171823,plain,
v2_membered(k1_setfam_1(k1_zfmisc_1(k1_numbers))),
inference(superposition,[status(thm)],[c_160376,c_167229]) ).
tcf(c_171824,plain,
! [X0: $i] : v2_membered(k1_setfam_1(k2_tarski(k1_numbers,X0))),
inference(superposition,[status(thm)],[c_160602,c_167229]) ).
tcf(c_171825,plain,
! [X0: $i] : v2_membered(k1_setfam_1(k2_tarski(X0,k1_numbers))),
inference(superposition,[status(thm)],[c_162385,c_167229]) ).
tcf(c_171846,plain,
! [X0: $i] : v1_membered(k4_xboole_0(k1_numbers,X0)),
inference(superposition,[status(thm)],[c_171815,c_1557]) ).
tcf(c_171848,plain,
v1_membered(k1_setfam_1(k1_zfmisc_1(k1_numbers))),
inference(superposition,[status(thm)],[c_171823,c_1557]) ).
tcf(c_171849,plain,
! [X0: $i] : v1_membered(k1_setfam_1(k2_tarski(X0,k1_numbers))),
inference(superposition,[status(thm)],[c_48896,c_171846]) ).
tcf(c_171850,plain,
! [X0: $i] : v1_membered(k1_setfam_1(k2_tarski(k1_numbers,X0))),
inference(superposition,[status(thm)],[c_2532,c_171846]) ).
tcf(c_171851,plain,
! [X0: $i,X1: $i] : v1_membered(k4_xboole_0(k4_xboole_0(k1_numbers,X0),X1)),
inference(superposition,[status(thm)],[c_484,c_171846]) ).
tcf(c_171858,plain,
v1_membered(k2_relat_1(sK115(k1_numbers,np__0))),
inference(superposition,[status(thm)],[c_171813,c_1557]) ).
tcf(c_171865,plain,
! [X0: $i,X1: $i] : k3_tarski(k2_tarski(k3_tarski(k2_tarski(X0,X1)),k1_setfam_1(k2_tarski(k4_xboole_0(X1,X0),X0)))) = k3_tarski(k2_tarski(X0,k4_xboole_0(X1,X0))),
inference(superposition,[status(thm)],[c_2606,c_51640]) ).
tcf(c_171866,plain,
! [X0: $i] : k3_tarski(k2_tarski(np__0,k1_setfam_1(k2_tarski(X0,X0)))) = k3_tarski(k2_tarski(X0,X0)),
inference(superposition,[status(thm)],[c_2612,c_51640]) ).
tcf(c_171867,plain,
! [X0: $i,X1: $i,X2: $i] : k3_tarski(k2_tarski(k5_xboole_0(X0,k5_xboole_0(X1,X2)),k1_setfam_1(k2_tarski(X2,k5_xboole_0(X0,X1))))) = k3_tarski(k2_tarski(k5_xboole_0(X0,X1),X2)),
inference(superposition,[status(thm)],[c_2613,c_51640]) ).
tcf(c_171868,plain,
! [X0: $i] : k3_tarski(k2_tarski(X0,k1_setfam_1(k2_tarski(np__0,X0)))) = k3_tarski(k2_tarski(X0,np__0)),
inference(superposition,[status(thm)],[c_2614,c_51640]) ).
tcf(c_171869,plain,
! [X0: $i,X1: $i] : k3_tarski(k2_tarski(k5_xboole_0(X0,X1),k1_setfam_1(k2_tarski(X0,X1)))) = k3_tarski(k2_tarski(X1,X0)),
inference(superposition,[status(thm)],[c_2615,c_51640]) ).
tcf(c_171870,plain,
! [X0: $i,X1: $i] : k3_tarski(k2_tarski(k1_setfam_1(k2_tarski(X0,X1)),k1_setfam_1(k2_tarski(k5_xboole_0(X0,k3_tarski(k2_tarski(X1,X0))),X1)))) = k3_tarski(k2_tarski(X1,k5_xboole_0(X0,k3_tarski(k2_tarski(X1,X0))))),
inference(superposition,[status(thm)],[c_50414,c_51640]) ).
tcf(c_171871,plain,
! [X0: $i] : k3_tarski(k2_tarski(X0,k1_setfam_1(k2_tarski(X0,np__0)))) = k3_tarski(k2_tarski(np__0,X0)),
inference(superposition,[status(thm)],[c_160917,c_51640]) ).
tcf(c_171872,plain,
! [X0: $i,X1: $i] : k3_tarski(k2_tarski(k4_xboole_0(X0,X1),k1_setfam_1(k2_tarski(k1_setfam_1(k2_tarski(X1,X0)),X0)))) = k3_tarski(k2_tarski(X0,k1_setfam_1(k2_tarski(X1,X0)))),
inference(superposition,[status(thm)],[c_48956,c_51640]) ).
tcf(c_171873,plain,
! [X0: $i] : k3_tarski(k2_tarski(k5_xboole_0(X0,X0),X0)) = k3_tarski(k2_tarski(X0,X0)),
inference(superposition,[status(thm)],[c_47410,c_51640]) ).
tcf(c_171874,plain,
! [X0: $i] : k3_tarski(k2_tarski(k5_xboole_0(np__0,X0),np__0)) = k3_tarski(k2_tarski(np__0,X0)),
inference(superposition,[status(thm)],[c_160609,c_51640]) ).
tcf(c_171875,plain,
! [X0: $i] : k3_tarski(k2_tarski(k5_xboole_0(X0,np__0),np__0)) = k3_tarski(k2_tarski(X0,np__0)),
inference(superposition,[status(thm)],[c_160608,c_51640]) ).
tcf(c_171876,plain,
! [X0: $i,X1: $i] : k3_tarski(k2_tarski(k5_xboole_0(X0,X1),k1_setfam_1(k2_tarski(X0,X1)))) = k3_tarski(k2_tarski(X0,X1)),
inference(superposition,[status(thm)],[c_2707,c_51640]) ).
tcf(c_171878,plain,
! [X0: $i,X1: $i] :
( ( X1 = np__0 )
| ( k3_tarski(k2_tarski(k5_xboole_0(X0,X0),k1_setfam_1(k2_relat_1(sK46(X1,X0))))) = k3_tarski(k2_relat_1(sK46(X1,X0))) ) ),
inference(superposition,[status(thm)],[c_51182,c_51640]) ).
tcf(c_171879,plain,
k3_tarski(k2_tarski(k5_xboole_0(np__0,np__0),k1_setfam_1(k1_zfmisc_1(np__0)))) = k3_tarski(k1_zfmisc_1(np__0)),
inference(superposition,[status(thm)],[c_47417,c_51640]) ).
tcf(c_171880,plain,
! [X0: $i] : k3_tarski(k2_tarski(k5_xboole_0(k2_tarski(X0,X0),np__0),k1_setfam_1(k1_zfmisc_1(k2_tarski(X0,X0))))) = k3_tarski(k2_tarski(k2_tarski(X0,X0),np__0)),
inference(superposition,[status(thm)],[c_50679,c_51640]) ).
tcf(c_171881,plain,
! [X0: $i,X1: $i] : k4_xboole_0(k3_tarski(k2_tarski(X0,X1)),k1_setfam_1(k2_tarski(k1_setfam_1(k2_tarski(X1,X0)),k5_xboole_0(X0,X1)))) = k5_xboole_0(k5_xboole_0(X0,X1),k1_setfam_1(k2_tarski(X1,X0))),
inference(superposition,[status(thm)],[c_51640,c_51197]) ).
tcf(c_171882,plain,
! [X0: $i,X1: $i] : k5_xboole_0(k5_xboole_0(X0,X1),k5_xboole_0(k1_setfam_1(k2_tarski(X1,X0)),k3_tarski(k2_tarski(X0,X1)))) = k1_setfam_1(k2_tarski(k1_setfam_1(k2_tarski(X1,X0)),k5_xboole_0(X0,X1))),
inference(superposition,[status(thm)],[c_51640,c_50414]) ).
tcf(c_171883,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(k5_xboole_0(X0,X1))
| ~ v1_xboole_0(k3_tarski(k2_tarski(X0,X1))) ),
inference(superposition,[status(thm)],[c_51640,c_511]) ).
tcf(c_171884,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(k1_setfam_1(k2_tarski(X1,X0)))
| ~ v1_xboole_0(k3_tarski(k2_tarski(X0,X1))) ),
inference(superposition,[status(thm)],[c_51640,c_510]) ).
tcf(c_171886,plain,
! [X0: $i,X1: $i,X2: $i] : k3_tarski(k2_tarski(k5_xboole_0(X0,X1),k3_tarski(k2_tarski(k1_setfam_1(k2_tarski(X1,X0)),X2)))) = k3_tarski(k2_tarski(k3_tarski(k2_tarski(X0,X1)),X2)),
inference(superposition,[status(thm)],[c_51640,c_500]) ).
tcf(c_171887,plain,
! [X0: $i,X1: $i] : k3_tarski(k2_tarski(k5_xboole_0(X0,X1),k3_tarski(k2_tarski(X0,X1)))) = k3_tarski(k2_tarski(X0,X1)),
inference(superposition,[status(thm)],[c_51640,c_498]) ).
tcf(c_171888,plain,
! [X0: $i,X1: $i] :
( ( k5_xboole_0(X0,X1) = np__0 )
| ( k3_tarski(k2_tarski(X0,X1)) != np__0 ) ),
inference(superposition,[status(thm)],[c_51640,c_487]) ).
tcf(c_171889,plain,
! [X0: $i,X1: $i] : k4_xboole_0(k3_tarski(k2_tarski(X0,X1)),k1_setfam_1(k2_tarski(X1,X0))) = k4_xboole_0(k5_xboole_0(X0,X1),k1_setfam_1(k2_tarski(X1,X0))),
inference(superposition,[status(thm)],[c_51640,c_485]) ).
tcf(c_171890,plain,
! [X0: $i,X1: $i,X2: $i] : k4_xboole_0(k4_xboole_0(X0,k5_xboole_0(X1,X2)),k1_setfam_1(k2_tarski(X2,X1))) = k4_xboole_0(X0,k3_tarski(k2_tarski(X1,X2))),
inference(superposition,[status(thm)],[c_51640,c_484]) ).
tcf(c_171891,plain,
! [X0: $i,X1: $i] : r1_tarski(k1_setfam_1(k2_tarski(X0,X1)),k3_tarski(k2_tarski(X1,X0))),
inference(superposition,[status(thm)],[c_51640,c_162055]) ).
tcf(c_171892,plain,
! [X0: $i,X1: $i] : ~ r2_hidden(k3_tarski(k2_tarski(X0,X1)),k1_setfam_1(k2_tarski(k5_xboole_0(X0,X1),k1_setfam_1(k2_tarski(X1,X0))))),
inference(superposition,[status(thm)],[c_51640,c_167159]) ).
tcf(c_171893,plain,
! [X0: $i,X1: $i] : ~ r2_hidden(k1_zfmisc_1(k3_tarski(k2_tarski(X0,X1))),k2_tarski(k5_xboole_0(X0,X1),k1_setfam_1(k2_tarski(X1,X0)))),
inference(superposition,[status(thm)],[c_51640,c_167158]) ).
tcf(c_171894,plain,
! [X0: $i,X1: $i] :
( v3_ordinal1(k3_tarski(k2_tarski(X0,X1)))
| ~ v1_xboole_0(k2_tarski(k5_xboole_0(X0,X1),k1_setfam_1(k2_tarski(X1,X0)))) ),
inference(superposition,[status(thm)],[c_51640,c_164233]) ).
tcf(c_171895,plain,
! [X0: $i,X1: $i] :
( v1_membered(k3_tarski(k2_tarski(X0,X1)))
| ~ v1_xboole_0(k2_tarski(k5_xboole_0(X0,X1),k1_setfam_1(k2_tarski(X1,X0)))) ),
inference(superposition,[status(thm)],[c_51640,c_163434]) ).
tcf(c_171896,plain,
! [X0: $i,X1: $i] :
( v2_membered(k3_tarski(k2_tarski(X0,X1)))
| ~ v1_xboole_0(k2_tarski(k5_xboole_0(X0,X1),k1_setfam_1(k2_tarski(X1,X0)))) ),
inference(superposition,[status(thm)],[c_51640,c_163150]) ).
tcf(c_171897,plain,
! [X0: $i,X1: $i] :
( v3_membered(k3_tarski(k2_tarski(X0,X1)))
| ~ v1_xboole_0(k2_tarski(k5_xboole_0(X0,X1),k1_setfam_1(k2_tarski(X1,X0)))) ),
inference(superposition,[status(thm)],[c_51640,c_162596]) ).
tcf(c_171898,plain,
! [X0: $i,X1: $i] :
( v4_membered(k3_tarski(k2_tarski(X0,X1)))
| ~ v1_xboole_0(k2_tarski(k5_xboole_0(X0,X1),k1_setfam_1(k2_tarski(X1,X0)))) ),
inference(superposition,[status(thm)],[c_51640,c_162258]) ).
tcf(c_171899,plain,
! [X0: $i,X1: $i] :
( v5_membered(k3_tarski(k2_tarski(X0,X1)))
| ~ v1_xboole_0(k2_tarski(k5_xboole_0(X0,X1),k1_setfam_1(k2_tarski(X1,X0)))) ),
inference(superposition,[status(thm)],[c_51640,c_161606]) ).
tcf(c_171900,plain,
! [X0: $i,X1: $i,X2: $i] : k3_tarski(k3_tarski(k2_tarski(k2_tarski(k5_xboole_0(X0,X1),k1_setfam_1(k2_tarski(X1,X0))),X2))) = k3_tarski(k2_tarski(k3_tarski(k2_tarski(X0,X1)),k3_tarski(X2))),
inference(superposition,[status(thm)],[c_51640,c_2509]) ).
tcf(c_171901,plain,
! [X0: $i,X1: $i] :
( v3_ordinal1(k3_tarski(k2_tarski(X0,X1)))
| ~ v3_ordinal1(k2_tarski(k5_xboole_0(X0,X1),k1_setfam_1(k2_tarski(X1,X0)))) ),
inference(superposition,[status(thm)],[c_51640,c_2504]) ).
tcf(c_171902,plain,
! [X0: $i,X1: $i] :
( v1_finset_1(k2_tarski(k5_xboole_0(X0,X1),k1_setfam_1(k2_tarski(X1,X0))))
| ~ v1_finset_1(k3_tarski(k2_tarski(X0,X1))) ),
inference(superposition,[status(thm)],[c_51640,c_2497]) ).
tcf(c_171903,plain,
! [X0: $i,X1: $i] : r1_tarski(k1_setfam_1(k2_tarski(k5_xboole_0(X0,X1),k1_setfam_1(k2_tarski(X1,X0)))),k3_tarski(k2_tarski(X0,X1))),
inference(superposition,[status(thm)],[c_51640,c_2542]) ).
tcf(c_171904,plain,
! [X0: $i,X1: $i] : r1_tarski(k2_tarski(k5_xboole_0(X0,X1),k1_setfam_1(k2_tarski(X1,X0))),k1_zfmisc_1(k3_tarski(k2_tarski(X0,X1)))),
inference(superposition,[status(thm)],[c_51640,c_2506]) ).
tcf(c_171905,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(X0,k3_tarski(k2_tarski(X1,X2)))
| ~ r2_hidden(X0,k2_tarski(k5_xboole_0(X1,X2),k1_setfam_1(k2_tarski(X2,X1)))) ),
inference(superposition,[status(thm)],[c_51640,c_2513]) ).
tcf(c_171906,plain,
! [X0: $i,X1: $i,X2: $i] : k3_tarski(k3_tarski(k2_tarski(X0,k2_tarski(k5_xboole_0(X1,X2),k1_setfam_1(k2_tarski(X2,X1)))))) = k3_tarski(k2_tarski(k3_tarski(X0),k3_tarski(k2_tarski(X1,X2)))),
inference(superposition,[status(thm)],[c_51640,c_2509]) ).
tcf(c_171916,plain,
! [X0: $i] : k3_tarski(k2_tarski(X0,k4_xboole_0(np__0,np__0))) = X0,
inference(light_normalisation,[status(thm)],[c_171868,c_501,c_160599]) ).
tcf(c_171924,plain,
! [X0: $i,X1: $i,X2: $i] : k4_xboole_0(k4_xboole_0(X0,k5_xboole_0(X1,X2)),k1_setfam_1(k2_tarski(X2,X1))) = k4_xboole_0(k4_xboole_0(X0,X2),X1),
inference(light_normalisation,[status(thm)],[c_171890,c_162063]) ).
tcf(c_171925,plain,
! [X0: $i,X1: $i] : k4_xboole_0(k5_xboole_0(X0,X1),k1_setfam_1(k2_tarski(X1,X0))) = k5_xboole_0(X0,X1),
inference(light_normalisation,[status(thm)],[c_171889,c_51197]) ).
tcf(c_171926,plain,
! [X0: $i] : k3_tarski(k2_tarski(k5_xboole_0(np__0,k2_tarski(X0,X0)),k1_setfam_1(k1_zfmisc_1(k2_tarski(X0,X0))))) = k3_tarski(k2_tarski(k2_tarski(X0,X0),np__0)),
inference(theory_normalisation,[status(thm)],[c_171880,c_2613,c_2615]) ).
tcf(c_171927,plain,
! [X0: $i] : k3_tarski(k2_tarski(k5_xboole_0(np__0,k2_tarski(X0,X0)),np__0)) = k3_tarski(k2_tarski(k2_tarski(X0,X0),np__0)),
inference(light_normalisation,[status(thm)],[c_171926,c_170472]) ).
tcf(c_171928,plain,
! [X0: $i,X1: $i] : k3_tarski(k2_tarski(k3_tarski(k2_tarski(X0,X1)),k1_setfam_1(k2_tarski(k4_xboole_0(X1,X0),X0)))) = k3_tarski(k2_tarski(X0,X1)),
inference(light_normalisation,[status(thm)],[c_171865,c_486]) ).
tcf(c_171929,plain,
! [X0: $i,X1: $i,X2: $i] : k3_tarski(k2_tarski(k5_xboole_0(X0,X1),k3_tarski(k2_tarski(k1_setfam_1(k2_tarski(X1,X0)),X2)))) = k3_tarski(k2_tarski(X1,k3_tarski(k2_tarski(X0,X2)))),
inference(light_normalisation,[status(thm)],[c_171886,c_162059]) ).
tcf(c_171930,plain,
! [X0: $i,X1: $i] :
( ( X0 = np__0 )
| ( k3_tarski(k2_tarski(np__0,k1_setfam_1(k2_relat_1(sK46(X0,X1))))) = k3_tarski(k2_relat_1(sK46(X0,X1))) ) ),
inference(light_normalisation,[status(thm)],[c_171878,c_2612]) ).
tcf(c_171933,plain,
! [X0: $i,X1: $i] : k3_tarski(k2_tarski(k4_xboole_0(X0,X1),k1_setfam_1(k2_tarski(k1_setfam_1(k2_tarski(X1,X0)),X0)))) = X0,
inference(light_normalisation,[status(thm)],[c_171872,c_167297]) ).
tcf(c_171934,plain,
! [X0: $i,X1: $i] : k5_xboole_0(X0,k5_xboole_0(X1,k5_xboole_0(k3_tarski(k2_tarski(X0,X1)),k1_setfam_1(k2_tarski(X1,X0))))) = k1_setfam_1(k2_tarski(k1_setfam_1(k2_tarski(X1,X0)),k5_xboole_0(X0,X1))),
inference(theory_normalisation,[status(thm)],[c_171882,c_2613,c_2615]) ).
tcf(c_171935,plain,
! [X0: $i,X1: $i] : k4_xboole_0(k3_tarski(k2_tarski(X0,X1)),k1_setfam_1(k2_tarski(k1_setfam_1(k2_tarski(X1,X0)),k5_xboole_0(X0,X1)))) = k5_xboole_0(X0,k5_xboole_0(X1,k1_setfam_1(k2_tarski(X1,X0)))),
inference(theory_normalisation,[status(thm)],[c_171881,c_2613,c_2615]) ).
tcf(c_171965,plain,
! [X0: $i,X1: $i] :
( v1_relat_1(k1_setfam_1(k2_relat_1(sK46(X1,X0))))
| ( X1 = np__0 )
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_51182,c_47707]) ).
tcf(c_171966,plain,
( v1_relat_1(k1_setfam_1(k1_zfmisc_1(np__0)))
| ~ v1_relat_1(np__0) ),
inference(superposition,[status(thm)],[c_47417,c_47707]) ).
tcf(c_171967,plain,
! [X0: $i] :
( v1_relat_1(k1_setfam_1(k1_zfmisc_1(k2_tarski(X0,X0))))
| ~ v1_relat_1(k2_tarski(X0,X0)) ),
inference(superposition,[status(thm)],[c_50679,c_47707]) ).
tcf(c_171969,plain,
! [X0: $i] :
( v1_relat_1(np__0)
| ~ v1_relat_1(k2_tarski(X0,X0)) ),
inference(light_normalisation,[status(thm)],[c_171967,c_170472]) ).
tcf(c_171982,plain,
! [X0: $i,X1: $i] :
( v1_membered(k1_setfam_1(k2_relat_1(sK46(X1,X0))))
| ( X1 = np__0 )
| ~ v5_membered(X0) ),
inference(superposition,[status(thm)],[c_51182,c_47708]) ).
tcf(c_171983,plain,
( v1_membered(k1_setfam_1(k1_zfmisc_1(np__0)))
| ~ v5_membered(np__0) ),
inference(superposition,[status(thm)],[c_47417,c_47708]) ).
tcf(c_171984,plain,
! [X0: $i] :
( v1_membered(k1_setfam_1(k1_zfmisc_1(k2_tarski(X0,X0))))
| ~ v5_membered(k2_tarski(X0,X0)) ),
inference(superposition,[status(thm)],[c_50679,c_47708]) ).
tcf(c_171985,plain,
( v1_membered(np__0)
| ~ v5_membered(np__0) ),
inference(light_normalisation,[status(thm)],[c_171983,c_165500]) ).
tcf(c_171986,plain,
! [X0: $i] :
( v1_membered(np__0)
| ~ v5_membered(k2_tarski(X0,X0)) ),
inference(light_normalisation,[status(thm)],[c_171984,c_170472]) ).
tcf(c_171999,plain,
! [X0: $i,X1: $i] :
( v2_membered(k1_setfam_1(k2_relat_1(sK46(X1,X0))))
| ( X1 = np__0 )
| ~ v5_membered(X0) ),
inference(superposition,[status(thm)],[c_51182,c_47709]) ).
tcf(c_172000,plain,
( v2_membered(k1_setfam_1(k1_zfmisc_1(np__0)))
| ~ v5_membered(np__0) ),
inference(superposition,[status(thm)],[c_47417,c_47709]) ).
tcf(c_172001,plain,
! [X0: $i] :
( v2_membered(k1_setfam_1(k1_zfmisc_1(k2_tarski(X0,X0))))
| ~ v5_membered(k2_tarski(X0,X0)) ),
inference(superposition,[status(thm)],[c_50679,c_47709]) ).
tcf(c_172003,plain,
( v2_membered(np__0)
| ~ v5_membered(np__0) ),
inference(light_normalisation,[status(thm)],[c_172000,c_165500]) ).
tcf(c_172004,plain,
! [X0: $i] :
( v2_membered(np__0)
| ~ v5_membered(k2_tarski(X0,X0)) ),
inference(light_normalisation,[status(thm)],[c_172001,c_170472]) ).
tcf(c_172017,plain,
! [X0: $i,X1: $i] :
( v3_membered(k1_setfam_1(k2_relat_1(sK46(X1,X0))))
| ( X1 = np__0 )
| ~ v5_membered(X0) ),
inference(superposition,[status(thm)],[c_51182,c_47710]) ).
tcf(c_172018,plain,
( v3_membered(k1_setfam_1(k1_zfmisc_1(np__0)))
| ~ v5_membered(np__0) ),
inference(superposition,[status(thm)],[c_47417,c_47710]) ).
tcf(c_172019,plain,
! [X0: $i] :
( v3_membered(k1_setfam_1(k1_zfmisc_1(k2_tarski(X0,X0))))
| ~ v5_membered(k2_tarski(X0,X0)) ),
inference(superposition,[status(thm)],[c_50679,c_47710]) ).
tcf(c_172022,plain,
( v3_membered(np__0)
| ~ v5_membered(np__0) ),
inference(light_normalisation,[status(thm)],[c_172018,c_165500]) ).
tcf(c_172023,plain,
! [X0: $i] :
( v3_membered(np__0)
| ~ v5_membered(k2_tarski(X0,X0)) ),
inference(light_normalisation,[status(thm)],[c_172019,c_170472]) ).
tcf(c_172049,plain,
! [X0: $i] :
( v1_membered(k7_relat_1(k1_numbers,X0))
| ~ v1_relat_1(k1_numbers) ),
inference(superposition,[status(thm)],[c_2067,c_167230]) ).
tcf(c_172050,plain,
! [X0: $i] :
( v1_membered(k1_setfam_1(X0))
| ~ r2_hidden(k1_numbers,X0) ),
inference(superposition,[status(thm)],[c_2541,c_167230]) ).
tcf(c_172054,plain,
! [X0: $i] :
( v1_membered(k8_relat_1(X0,k1_numbers))
| ~ v1_relat_1(k1_numbers) ),
inference(superposition,[status(thm)],[c_3314,c_167230]) ).
tcf(c_172075,plain,
v1_membered(k2_relat_1(sK115(k2_numbers,np__0))),
inference(superposition,[status(thm)],[c_723,c_167231]) ).
tcf(c_172076,plain,
! [X0: $i] : v1_membered(k4_xboole_0(k2_numbers,X0)),
inference(superposition,[status(thm)],[c_1734,c_167231]) ).
tcf(c_172077,plain,
! [X0: $i] :
( v1_membered(k7_relat_1(k2_numbers,X0))
| ~ v1_relat_1(k2_numbers) ),
inference(superposition,[status(thm)],[c_2067,c_167231]) ).
tcf(c_172078,plain,
! [X0: $i] :
( v1_membered(k1_setfam_1(X0))
| ~ r2_hidden(k2_numbers,X0) ),
inference(superposition,[status(thm)],[c_2541,c_167231]) ).
tcf(c_172081,plain,
! [X0: $i] :
( v1_membered(k8_relat_1(X0,k2_numbers))
| ~ v1_relat_1(k2_numbers) ),
inference(superposition,[status(thm)],[c_3314,c_167231]) ).
tcf(c_172085,plain,
! [X0: $i,X1: $i] : v1_membered(k4_xboole_0(k4_xboole_0(k2_numbers,X0),X1)),
inference(superposition,[status(thm)],[c_159540,c_167231]) ).
tcf(c_172086,plain,
v1_membered(k1_setfam_1(k1_zfmisc_1(k2_numbers))),
inference(superposition,[status(thm)],[c_160376,c_167231]) ).
tcf(c_172087,plain,
! [X0: $i] : v1_membered(k1_setfam_1(k2_tarski(k2_numbers,X0))),
inference(superposition,[status(thm)],[c_160602,c_167231]) ).
tcf(c_172088,plain,
! [X0: $i] : v1_membered(k1_setfam_1(k2_tarski(X0,k2_numbers))),
inference(superposition,[status(thm)],[c_162385,c_167231]) ).
tcf(c_172121,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| ~ r2_hidden(X0,sK87(X0)) ),
inference(superposition,[status(thm)],[c_167342,c_538]) ).
tcf(c_172142,plain,
! [X0: $i,X1: $i,X2: $i] : k4_xboole_0(k1_setfam_1(k2_tarski(X0,X1)),X2) = k1_setfam_1(k2_tarski(X1,k4_xboole_0(X0,X2))),
inference(superposition,[status(thm)],[c_2707,c_52024]) ).
tcf(c_172144,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2 = np__0 )
| ( k4_xboole_0(k1_setfam_1(k2_tarski(X0,k4_xboole_0(X0,X1))),X1) = k1_setfam_1(k2_relat_1(sK46(X2,k4_xboole_0(X0,X1)))) ) ),
inference(superposition,[status(thm)],[c_51182,c_52024]) ).
tcf(c_172145,plain,
! [X0: $i,X1: $i,X2: $i] : k4_xboole_0(k1_setfam_1(k2_tarski(X0,X1)),k4_xboole_0(X0,X2)) = k1_setfam_1(k2_tarski(k1_setfam_1(k2_tarski(X2,X0)),X1)),
inference(superposition,[status(thm)],[c_48896,c_52024]) ).
tcf(c_172146,plain,
! [X0: $i,X1: $i,X2: $i] : k4_xboole_0(k1_setfam_1(k2_tarski(X0,X1)),k4_xboole_0(X0,X2)) = k1_setfam_1(k2_tarski(k1_setfam_1(k2_tarski(X0,X2)),X1)),
inference(superposition,[status(thm)],[c_2532,c_52024]) ).
tcf(c_172147,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : k4_xboole_0(k1_setfam_1(k2_tarski(k2_zfmisc_1(X0,X1),X2)),k2_zfmisc_1(X3,X1)) = k1_setfam_1(k2_tarski(k2_zfmisc_1(k4_xboole_0(X0,X3),X1),X2)),
inference(superposition,[status(thm)],[c_1713,c_52024]) ).
tcf(c_172148,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : k4_xboole_0(k1_setfam_1(k2_tarski(k2_zfmisc_1(X0,X1),X2)),k2_zfmisc_1(X0,X3)) = k1_setfam_1(k2_tarski(k2_zfmisc_1(X0,k4_xboole_0(X1,X3)),X2)),
inference(superposition,[status(thm)],[c_1714,c_52024]) ).
tcf(c_172149,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : k4_xboole_0(k1_setfam_1(k2_tarski(X0,X1)),k3_tarski(k2_tarski(X2,X3))) = k1_setfam_1(k2_tarski(k4_xboole_0(k4_xboole_0(X0,X2),X3),X1)),
inference(superposition,[status(thm)],[c_484,c_52024]) ).
tcf(c_172150,plain,
! [X0: $i,X1: $i] : k4_xboole_0(k1_setfam_1(k2_tarski(X0,X1)),np__0) = k1_setfam_1(k2_tarski(X0,X1)),
inference(superposition,[status(thm)],[c_1740,c_52024]) ).
tcf(c_172151,plain,
! [X0: $i,X1: $i] : k4_xboole_0(k1_setfam_1(k2_tarski(X0,X1)),X0) = k1_setfam_1(k2_tarski(np__0,X1)),
inference(superposition,[status(thm)],[c_45740,c_52024]) ).
tcf(c_172152,plain,
! [X0: $i,X1: $i,X2: $i] : k4_xboole_0(k1_setfam_1(k2_tarski(k3_tarski(k2_tarski(X0,X1)),X2)),X1) = k1_setfam_1(k2_tarski(k4_xboole_0(X0,X1),X2)),
inference(superposition,[status(thm)],[c_485,c_52024]) ).
tcf(c_172153,plain,
! [X0: $i,X1: $i] : k4_xboole_0(k1_setfam_1(k2_tarski(np__0,X0)),X1) = k1_setfam_1(k2_tarski(np__0,X0)),
inference(superposition,[status(thm)],[c_1739,c_52024]) ).
tcf(c_172154,plain,
! [X0: $i,X1: $i,X2: $i] : k4_xboole_0(k1_setfam_1(k2_tarski(k2_tarski(X0,X0),X1)),k2_tarski(X2,X0)) = k1_setfam_1(k2_tarski(np__0,X1)),
inference(superposition,[status(thm)],[c_48462,c_52024]) ).
tcf(c_172155,plain,
! [X0: $i,X1: $i,X2: $i] : k4_xboole_0(k1_setfam_1(k2_tarski(k2_tarski(X0,X0),X1)),k2_tarski(X0,X2)) = k1_setfam_1(k2_tarski(np__0,X1)),
inference(superposition,[status(thm)],[c_48463,c_52024]) ).
tcf(c_172156,plain,
! [X0: $i,X1: $i,X2: $i] : k4_xboole_0(k1_setfam_1(k2_tarski(X0,X1)),k1_setfam_1(k2_tarski(X2,X0))) = k1_setfam_1(k2_tarski(k4_xboole_0(X0,X2),X1)),
inference(superposition,[status(thm)],[c_48904,c_52024]) ).
tcf(c_172157,plain,
! [X0: $i,X1: $i,X2: $i] : k4_xboole_0(k1_setfam_1(k2_tarski(k3_tarski(k2_tarski(X0,X1)),X2)),k1_setfam_1(k2_tarski(X1,X0))) = k1_setfam_1(k2_tarski(k5_xboole_0(X0,X1),X2)),
inference(superposition,[status(thm)],[c_51197,c_52024]) ).
tcf(c_172158,plain,
! [X0: $i,X1: $i,X2: $i] : ~ r2_hidden(k3_tarski(k2_tarski(k4_xboole_0(X0,X1),X2)),k4_xboole_0(k1_setfam_1(k2_tarski(X0,X2)),X1)),
inference(superposition,[status(thm)],[c_52024,c_167159]) ).
tcf(c_172159,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_ordinal1(k4_xboole_0(k1_setfam_1(k2_tarski(X0,X2)),X1))
| ~ v1_xboole_0(k2_tarski(k4_xboole_0(X0,X1),X2)) ),
inference(superposition,[status(thm)],[c_52024,c_164422]) ).
tcf(c_172160,plain,
! [X0: $i,X1: $i,X2: $i] : r1_tarski(k4_xboole_0(k1_setfam_1(k2_tarski(X0,X1)),X2),k3_tarski(k2_tarski(k4_xboole_0(X0,X2),X1))),
inference(superposition,[status(thm)],[c_52024,c_2542]) ).
tcf(c_172161,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_tarski(k4_xboole_0(k1_setfam_1(k2_tarski(X1,X3)),X2),X0)
| ~ r2_hidden(X0,k2_tarski(k4_xboole_0(X1,X2),X3)) ),
inference(superposition,[status(thm)],[c_52024,c_2541]) ).
tcf(c_172162,plain,
! [X0: $i,X1: $i,X2: $i] : r1_xboole_0(k4_xboole_0(k1_setfam_1(k2_tarski(X0,X1)),X2),k5_xboole_0(k4_xboole_0(X0,X2),X1)),
inference(superposition,[status(thm)],[c_52024,c_47705]) ).
tcf(c_172163,plain,
! [X0: $i,X1: $i,X2: $i] : k6_partfun1(k4_xboole_0(k1_setfam_1(k2_tarski(X0,X1)),X2)) = k5_relat_1(k6_partfun1(k4_xboole_0(X0,X2)),k6_partfun1(X1)),
inference(superposition,[status(thm)],[c_52024,c_49266]) ).
tcf(c_172164,plain,
! [X0: $i,X1: $i,X2: $i] : k3_tarski(k2_tarski(k4_xboole_0(X0,X1),k4_xboole_0(k1_setfam_1(k2_tarski(X0,X2)),X1))) = k4_xboole_0(X0,X1),
inference(superposition,[status(thm)],[c_52024,c_48096]) ).
tcf(c_172166,plain,
! [X0: $i,X1: $i,X2: $i] : r1_tarski(k4_xboole_0(k1_setfam_1(k2_tarski(X0,X1)),X2),k4_xboole_0(X0,X2)),
inference(superposition,[status(thm)],[c_52024,c_160602]) ).
tcf(c_172167,plain,
! [X0: $i,X1: $i] : k4_xboole_0(k1_setfam_1(k2_tarski(X0,k4_xboole_0(X0,X1))),X1) = k4_xboole_0(X0,X1),
inference(superposition,[status(thm)],[c_52024,c_47410]) ).
tcf(c_172168,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_membered(k4_xboole_0(k1_setfam_1(k2_tarski(X1,X0)),X2))
| ~ v5_membered(X0) ),
inference(superposition,[status(thm)],[c_52024,c_47710]) ).
tcf(c_172169,plain,
! [X0: $i,X1: $i,X2: $i] :
( v2_membered(k4_xboole_0(k1_setfam_1(k2_tarski(X1,X0)),X2))
| ~ v5_membered(X0) ),
inference(superposition,[status(thm)],[c_52024,c_47709]) ).
tcf(c_172170,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_membered(k4_xboole_0(k1_setfam_1(k2_tarski(X1,X0)),X2))
| ~ v5_membered(X0) ),
inference(superposition,[status(thm)],[c_52024,c_47708]) ).
tcf(c_172171,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_relat_1(k4_xboole_0(k1_setfam_1(k2_tarski(X1,X0)),X2))
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_52024,c_47707]) ).
tcf(c_172172,plain,
! [X0: $i,X1: $i,X2: $i] : k3_tarski(k2_tarski(k5_xboole_0(X0,k4_xboole_0(X1,X2)),k4_xboole_0(k1_setfam_1(k2_tarski(X1,X0)),X2))) = k3_tarski(k2_tarski(X0,k4_xboole_0(X1,X2))),
inference(superposition,[status(thm)],[c_52024,c_51640]) ).
tcf(c_172173,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_finset_1(k4_xboole_0(k1_setfam_1(k2_tarski(X1,X0)),X2))
| ~ v1_finset_1(X0) ),
inference(superposition,[status(thm)],[c_52024,c_47706]) ).
tcf(c_172174,plain,
! [X0: $i,X1: $i,X2: $i] : k4_xboole_0(k3_tarski(k2_tarski(X0,k4_xboole_0(X1,X2))),k4_xboole_0(k1_setfam_1(k2_tarski(X1,X0)),X2)) = k5_xboole_0(X0,k4_xboole_0(X1,X2)),
inference(superposition,[status(thm)],[c_52024,c_51197]) ).
tcf(c_172175,plain,
! [X0: $i,X1: $i,X2: $i] : k5_xboole_0(X0,k4_xboole_0(k1_setfam_1(k2_tarski(X1,X0)),X2)) = k4_xboole_0(X0,k4_xboole_0(X1,X2)),
inference(superposition,[status(thm)],[c_52024,c_48956]) ).
tcf(c_172176,plain,
! [X0: $i,X1: $i,X2: $i] : k4_xboole_0(X0,k4_xboole_0(k1_setfam_1(k2_tarski(X1,X0)),X2)) = k4_xboole_0(X0,k4_xboole_0(X1,X2)),
inference(superposition,[status(thm)],[c_52024,c_48904]) ).
tcf(c_172177,plain,
! [X0: $i,X1: $i] : k4_xboole_0(k1_setfam_1(k2_tarski(X0,np__0)),X1) = np__0,
inference(superposition,[status(thm)],[c_52024,c_160609]) ).
tcf(c_172178,plain,
! [X0: $i,X1: $i] : v4_membered(k4_xboole_0(k1_setfam_1(k2_tarski(X0,k5_numbers)),X1)),
inference(superposition,[status(thm)],[c_52024,c_169940]) ).
tcf(c_172179,plain,
! [X0: $i,X1: $i] : v1_membered(k4_xboole_0(k1_setfam_1(k2_tarski(X0,k5_numbers)),X1)),
inference(superposition,[status(thm)],[c_52024,c_169931]) ).
tcf(c_172180,plain,
! [X0: $i,X1: $i] : v2_membered(k4_xboole_0(k1_setfam_1(k2_tarski(X0,k5_numbers)),X1)),
inference(superposition,[status(thm)],[c_52024,c_169921]) ).
tcf(c_172181,plain,
! [X0: $i,X1: $i] : v3_membered(k4_xboole_0(k1_setfam_1(k2_tarski(X0,k5_numbers)),X1)),
inference(superposition,[status(thm)],[c_52024,c_169910]) ).
tcf(c_172182,plain,
! [X0: $i,X1: $i] : v5_membered(k4_xboole_0(k1_setfam_1(k2_tarski(X0,k5_numbers)),X1)),
inference(superposition,[status(thm)],[c_52024,c_169871]) ).
tcf(c_172183,plain,
! [X0: $i,X1: $i] : v3_membered(k4_xboole_0(k1_setfam_1(k2_tarski(X0,k4_numbers)),X1)),
inference(superposition,[status(thm)],[c_52024,c_170815]) ).
tcf(c_172184,plain,
! [X0: $i,X1: $i] : v1_membered(k4_xboole_0(k1_setfam_1(k2_tarski(X0,k4_numbers)),X1)),
inference(superposition,[status(thm)],[c_52024,c_170806]) ).
tcf(c_172185,plain,
! [X0: $i,X1: $i] : v2_membered(k4_xboole_0(k1_setfam_1(k2_tarski(X0,k4_numbers)),X1)),
inference(superposition,[status(thm)],[c_52024,c_170796]) ).
tcf(c_172186,plain,
! [X0: $i,X1: $i] : v4_membered(k4_xboole_0(k1_setfam_1(k2_tarski(X0,k4_numbers)),X1)),
inference(superposition,[status(thm)],[c_52024,c_170705]) ).
tcf(c_172187,plain,
! [X0: $i,X1: $i] : v2_membered(k4_xboole_0(k1_setfam_1(k2_tarski(X0,k3_numbers)),X1)),
inference(superposition,[status(thm)],[c_52024,c_171485]) ).
tcf(c_172188,plain,
! [X0: $i,X1: $i] : v1_membered(k4_xboole_0(k1_setfam_1(k2_tarski(X0,k3_numbers)),X1)),
inference(superposition,[status(thm)],[c_52024,c_171476]) ).
tcf(c_172189,plain,
! [X0: $i,X1: $i] : v3_membered(k4_xboole_0(k1_setfam_1(k2_tarski(X0,k3_numbers)),X1)),
inference(superposition,[status(thm)],[c_52024,c_171006]) ).
tcf(c_172190,plain,
! [X0: $i,X1: $i] : v1_membered(k4_xboole_0(k1_setfam_1(k2_tarski(X0,k1_numbers)),X1)),
inference(superposition,[status(thm)],[c_52024,c_171849]) ).
tcf(c_172191,plain,
! [X0: $i,X1: $i] : v2_membered(k4_xboole_0(k1_setfam_1(k2_tarski(X0,k1_numbers)),X1)),
inference(superposition,[status(thm)],[c_52024,c_171825]) ).
tcf(c_172192,plain,
! [X0: $i,X1: $i] : v1_membered(k4_xboole_0(k1_setfam_1(k2_tarski(X0,k2_numbers)),X1)),
inference(superposition,[status(thm)],[c_52024,c_172088]) ).
tcf(c_172204,plain,
! [X0: $i] : k4_xboole_0(k4_xboole_0(np__0,np__0),X0) = k4_xboole_0(np__0,np__0),
inference(light_normalisation,[status(thm)],[c_172153,c_160599]) ).
tcf(c_172208,plain,
! [X0: $i,X1: $i,X2: $i] : k4_xboole_0(k1_setfam_1(k2_tarski(X0,X1)),k1_setfam_1(k2_tarski(X2,X0))) = k4_xboole_0(k1_setfam_1(k2_tarski(X0,X1)),X2),
inference(light_normalisation,[status(thm)],[c_172156,c_52024]) ).
tcf(c_172209,plain,
! [X0: $i,X1: $i,X2: $i] : k1_setfam_1(k2_tarski(k1_setfam_1(k2_tarski(X0,X1)),X2)) = k1_setfam_1(k2_tarski(X1,k1_setfam_1(k2_tarski(X0,X2)))),
inference(light_normalisation,[status(thm)],[c_172146,c_57792]) ).
tcf(c_172210,plain,
! [X0: $i,X1: $i,X2: $i] : k1_setfam_1(k2_tarski(k1_setfam_1(k2_tarski(X0,X1)),X2)) = k1_setfam_1(k2_tarski(X0,k1_setfam_1(k2_tarski(X1,X2)))),
inference(light_normalisation,[status(thm)],[c_172145,c_57792]) ).
tcf(c_172211,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = np__0 )
| ( k1_setfam_1(k2_relat_1(sK46(X0,k4_xboole_0(X1,X2)))) = k4_xboole_0(X1,X2) ) ),
inference(light_normalisation,[status(thm)],[c_172144,c_159248,c_168526]) ).
tcf(c_172257,plain,
! [X0: $i,X1: $i,X2: $i] :
( v4_membered(k4_xboole_0(k1_setfam_1(k2_tarski(X1,X0)),X2))
| ~ v5_membered(X0) ),
inference(superposition,[status(thm)],[c_52024,c_47711]) ).
tcf(c_172262,plain,
! [X0: $i,X1: $i] :
( v4_membered(k1_setfam_1(k2_relat_1(sK46(X1,X0))))
| ( X1 = np__0 )
| ~ v5_membered(X0) ),
inference(superposition,[status(thm)],[c_51182,c_47711]) ).
tcf(c_172263,plain,
( v4_membered(k1_setfam_1(k1_zfmisc_1(np__0)))
| ~ v5_membered(np__0) ),
inference(superposition,[status(thm)],[c_47417,c_47711]) ).
tcf(c_172264,plain,
! [X0: $i] :
( v4_membered(k1_setfam_1(k1_zfmisc_1(k2_tarski(X0,X0))))
| ~ v5_membered(k2_tarski(X0,X0)) ),
inference(superposition,[status(thm)],[c_50679,c_47711]) ).
tcf(c_172268,plain,
( v4_membered(np__0)
| ~ v5_membered(np__0) ),
inference(light_normalisation,[status(thm)],[c_172263,c_165500]) ).
tcf(c_172271,plain,
! [X0: $i] :
( v4_membered(np__0)
| ~ v5_membered(k2_tarski(X0,X0)) ),
inference(light_normalisation,[status(thm)],[c_172264,c_170472]) ).
tcf(c_172281,plain,
! [X0: $i,X1: $i,X2: $i] :
( v5_membered(k4_xboole_0(k1_setfam_1(k2_tarski(X1,X0)),X2))
| ~ v5_membered(X0) ),
inference(superposition,[status(thm)],[c_52024,c_47712]) ).
tcf(c_172286,plain,
! [X0: $i,X1: $i] :
( v5_membered(k1_setfam_1(k2_relat_1(sK46(X1,X0))))
| ( X1 = np__0 )
| ~ v5_membered(X0) ),
inference(superposition,[status(thm)],[c_51182,c_47712]) ).
tcf(c_172287,plain,
( v5_membered(k1_setfam_1(k1_zfmisc_1(np__0)))
| ~ v5_membered(np__0) ),
inference(superposition,[status(thm)],[c_47417,c_47712]) ).
tcf(c_172288,plain,
! [X0: $i] :
( v5_membered(k1_setfam_1(k1_zfmisc_1(k2_tarski(X0,X0))))
| ~ v5_membered(k2_tarski(X0,X0)) ),
inference(superposition,[status(thm)],[c_50679,c_47712]) ).
tcf(c_172296,plain,
! [X0: $i] :
( v5_membered(np__0)
| ~ v5_membered(k2_tarski(X0,X0)) ),
inference(light_normalisation,[status(thm)],[c_172288,c_170472]) ).
tcf(c_172306,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_membered(k4_xboole_0(k1_setfam_1(k2_tarski(X1,X0)),X2))
| ~ v4_membered(X0) ),
inference(superposition,[status(thm)],[c_52024,c_47713]) ).
tcf(c_172311,plain,
! [X0: $i,X1: $i] :
( v1_membered(k1_setfam_1(k2_relat_1(sK46(X1,X0))))
| ( X1 = np__0 )
| ~ v4_membered(X0) ),
inference(superposition,[status(thm)],[c_51182,c_47713]) ).
tcf(c_172312,plain,
( v1_membered(k1_setfam_1(k1_zfmisc_1(np__0)))
| ~ v4_membered(np__0) ),
inference(superposition,[status(thm)],[c_47417,c_47713]) ).
tcf(c_172313,plain,
! [X0: $i] :
( v1_membered(k1_setfam_1(k1_zfmisc_1(k2_tarski(X0,X0))))
| ~ v4_membered(k2_tarski(X0,X0)) ),
inference(superposition,[status(thm)],[c_50679,c_47713]) ).
tcf(c_172314,plain,
( v1_membered(np__0)
| ~ v4_membered(np__0) ),
inference(light_normalisation,[status(thm)],[c_172312,c_165500]) ).
tcf(c_172317,plain,
! [X0: $i] :
( v1_membered(np__0)
| ~ v4_membered(k2_tarski(X0,X0)) ),
inference(light_normalisation,[status(thm)],[c_172313,c_170472]) ).
tcf(c_172327,plain,
! [X0: $i,X1: $i,X2: $i] :
( v2_membered(k4_xboole_0(k1_setfam_1(k2_tarski(X1,X0)),X2))
| ~ v4_membered(X0) ),
inference(superposition,[status(thm)],[c_52024,c_47714]) ).
tcf(c_172332,plain,
! [X0: $i,X1: $i] :
( v2_membered(k1_setfam_1(k2_relat_1(sK46(X1,X0))))
| ( X1 = np__0 )
| ~ v4_membered(X0) ),
inference(superposition,[status(thm)],[c_51182,c_47714]) ).
tcf(c_172333,plain,
( v2_membered(k1_setfam_1(k1_zfmisc_1(np__0)))
| ~ v4_membered(np__0) ),
inference(superposition,[status(thm)],[c_47417,c_47714]) ).
tcf(c_172334,plain,
! [X0: $i] :
( v2_membered(k1_setfam_1(k1_zfmisc_1(k2_tarski(X0,X0))))
| ~ v4_membered(k2_tarski(X0,X0)) ),
inference(superposition,[status(thm)],[c_50679,c_47714]) ).
tcf(c_172336,plain,
( v2_membered(np__0)
| ~ v4_membered(np__0) ),
inference(light_normalisation,[status(thm)],[c_172333,c_165500]) ).
tcf(c_172339,plain,
! [X0: $i] :
( v2_membered(np__0)
| ~ v4_membered(k2_tarski(X0,X0)) ),
inference(light_normalisation,[status(thm)],[c_172334,c_170472]) ).
tcf(c_172348,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| ~ r2_hidden(X0,sK264(X0)) ),
inference(superposition,[status(thm)],[c_167344,c_538]) ).
tcf(c_172371,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| ~ r2_hidden(X0,sK265(X0)) ),
inference(superposition,[status(thm)],[c_167345,c_538]) ).
tcf(c_172390,plain,
~ v5_membered(sK548(k1_zfmisc_1(k5_numbers))),
inference(superposition,[status(thm)],[c_1340,c_167402]) ).
tcf(c_172391,plain,
~ v4_membered(sK548(k1_zfmisc_1(k4_numbers))),
inference(superposition,[status(thm)],[c_1432,c_167402]) ).
tcf(c_172392,plain,
~ v3_membered(sK548(k1_zfmisc_1(k3_numbers))),
inference(superposition,[status(thm)],[c_1485,c_167402]) ).
tcf(c_172393,plain,
~ v2_membered(sK548(k1_zfmisc_1(k1_numbers))),
inference(superposition,[status(thm)],[c_1532,c_167402]) ).
tcf(c_172394,plain,
! [X0: $i] : ~ r2_hidden(sK548(k1_zfmisc_1(k3_tarski(X0))),X0),
inference(superposition,[status(thm)],[c_2513,c_167402]) ).
tcf(c_172395,plain,
~ v1_membered(sK548(k1_zfmisc_1(k2_numbers))),
inference(superposition,[status(thm)],[c_3640,c_167402]) ).
tcf(c_172418,plain,
! [X0: $i] : ~ v1_xboole_0(sK548(k1_zfmisc_1(X0))),
inference(superposition,[status(thm)],[c_167498,c_167402]) ).
tcf(c_172425,plain,
! [X0: $i] :
( v1_relat_1(X0)
| ~ r2_hidden(X0,sK92(X0)) ),
inference(superposition,[status(thm)],[c_167527,c_631]) ).
tcf(c_172427,plain,
! [X0: $i] :
( v1_relat_1(X0)
| m1_subset_1(sK92(X0),X0) ),
inference(superposition,[status(thm)],[c_167527,c_626]) ).
tcf(c_172429,plain,
! [X0: $i] :
( v1_relat_1(k1_zfmisc_1(X0))
| r1_tarski(sK92(k1_zfmisc_1(X0)),X0) ),
inference(superposition,[status(thm)],[c_167527,c_563]) ).
tcf(c_172431,plain,
( v1_relat_1(k4_numbers)
| v1_int_1(sK92(k4_numbers)) ),
inference(superposition,[status(thm)],[c_167527,c_2722]) ).
tcf(c_172432,plain,
( v1_relat_1(k1_numbers)
| v1_xreal_0(sK92(k1_numbers)) ),
inference(superposition,[status(thm)],[c_167527,c_2743]) ).
tcf(c_172433,plain,
! [X0: $i] :
( v1_relat_1(k5_finsub_1(X0))
| r1_tarski(sK92(k5_finsub_1(X0)),X0) ),
inference(superposition,[status(thm)],[c_167527,c_14776]) ).
tcf(c_172434,plain,
! [X0: $i] :
( v1_relat_1(k5_finsub_1(X0))
| v1_finset_1(sK92(k5_finsub_1(X0))) ),
inference(superposition,[status(thm)],[c_167527,c_14774]) ).
tcf(c_172456,plain,
( v1_relat_1(k4_numbers)
| v1_xreal_0(sK92(k4_numbers)) ),
inference(superposition,[status(thm)],[c_172431,c_2716]) ).
tcf(c_172457,plain,
( v1_relat_1(k4_numbers)
| v1_xcmplx_0(sK92(k4_numbers)) ),
inference(superposition,[status(thm)],[c_172431,c_2715]) ).
tcf(c_172463,plain,
! [X0: $i,X1: $i] : k1_setfam_1(k2_tarski(k1_zfmisc_1(X0),k1_zfmisc_1(X1))) = k1_zfmisc_1(k1_setfam_1(k2_tarski(X1,X0))),
inference(superposition,[status(thm)],[c_2707,c_52026]) ).
tcf(c_172465,plain,
! [X0: $i,X1: $i] :
( ( X0 = np__0 )
| ( k1_setfam_1(k2_relat_1(sK46(X0,k1_zfmisc_1(X1)))) = k1_zfmisc_1(k1_setfam_1(k2_tarski(X1,X1))) ) ),
inference(superposition,[status(thm)],[c_51182,c_52026]) ).
tcf(c_172466,plain,
! [X0: $i,X1: $i] : ~ r2_hidden(k3_tarski(k2_tarski(k1_zfmisc_1(X0),k1_zfmisc_1(X1))),k1_zfmisc_1(k1_setfam_1(k2_tarski(X0,X1)))),
inference(superposition,[status(thm)],[c_52026,c_167159]) ).
tcf(c_172467,plain,
! [X0: $i,X1: $i] :
( v3_ordinal1(k1_zfmisc_1(k1_setfam_1(k2_tarski(X0,X1))))
| ~ v1_xboole_0(k2_tarski(k1_zfmisc_1(X0),k1_zfmisc_1(X1))) ),
inference(superposition,[status(thm)],[c_52026,c_164422]) ).
tcf(c_172468,plain,
! [X0: $i,X1: $i] : r1_tarski(k1_zfmisc_1(k1_setfam_1(k2_tarski(X0,X1))),k3_tarski(k2_tarski(k1_zfmisc_1(X0),k1_zfmisc_1(X1)))),
inference(superposition,[status(thm)],[c_52026,c_2542]) ).
tcf(c_172469,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k1_zfmisc_1(k1_setfam_1(k2_tarski(X1,X2))),X0)
| ~ r2_hidden(X0,k2_tarski(k1_zfmisc_1(X1),k1_zfmisc_1(X2))) ),
inference(superposition,[status(thm)],[c_52026,c_2541]) ).
tcf(c_172470,plain,
! [X0: $i,X1: $i] : r1_xboole_0(k1_zfmisc_1(k1_setfam_1(k2_tarski(X0,X1))),k5_xboole_0(k1_zfmisc_1(X0),k1_zfmisc_1(X1))),
inference(superposition,[status(thm)],[c_52026,c_47705]) ).
tcf(c_172471,plain,
! [X0: $i,X1: $i] : k5_relat_1(k6_partfun1(k1_zfmisc_1(X0)),k6_partfun1(k1_zfmisc_1(X1))) = k6_partfun1(k1_zfmisc_1(k1_setfam_1(k2_tarski(X0,X1)))),
inference(superposition,[status(thm)],[c_52026,c_49266]) ).
tcf(c_172472,plain,
! [X0: $i,X1: $i] : k3_tarski(k2_tarski(k1_zfmisc_1(X0),k1_zfmisc_1(k1_setfam_1(k2_tarski(X0,X1))))) = k1_zfmisc_1(X0),
inference(superposition,[status(thm)],[c_52026,c_48096]) ).
tcf(c_172473,plain,
! [X0: $i,X1: $i] : r1_tarski(k1_zfmisc_1(k1_setfam_1(k2_tarski(X0,X1))),k1_zfmisc_1(X1)),
inference(superposition,[status(thm)],[c_52026,c_162385]) ).
tcf(c_172474,plain,
! [X0: $i,X1: $i] : r1_tarski(k1_zfmisc_1(k1_setfam_1(k2_tarski(X0,X1))),k1_zfmisc_1(X0)),
inference(superposition,[status(thm)],[c_52026,c_160602]) ).
tcf(c_172475,plain,
! [X0: $i] : k1_zfmisc_1(k1_setfam_1(k2_tarski(X0,X0))) = k1_zfmisc_1(X0),
inference(superposition,[status(thm)],[c_52026,c_47410]) ).
tcf(c_172476,plain,
! [X0: $i,X1: $i] :
( v2_membered(k1_zfmisc_1(k1_setfam_1(k2_tarski(X1,X0))))
| ~ v4_membered(k1_zfmisc_1(X0)) ),
inference(superposition,[status(thm)],[c_52026,c_47714]) ).
tcf(c_172477,plain,
! [X0: $i,X1: $i] :
( v1_membered(k1_zfmisc_1(k1_setfam_1(k2_tarski(X1,X0))))
| ~ v4_membered(k1_zfmisc_1(X0)) ),
inference(superposition,[status(thm)],[c_52026,c_47713]) ).
tcf(c_172478,plain,
! [X0: $i,X1: $i] :
( v5_membered(k1_zfmisc_1(k1_setfam_1(k2_tarski(X1,X0))))
| ~ v5_membered(k1_zfmisc_1(X0)) ),
inference(superposition,[status(thm)],[c_52026,c_47712]) ).
tcf(c_172479,plain,
! [X0: $i,X1: $i] :
( v4_membered(k1_zfmisc_1(k1_setfam_1(k2_tarski(X1,X0))))
| ~ v5_membered(k1_zfmisc_1(X0)) ),
inference(superposition,[status(thm)],[c_52026,c_47711]) ).
tcf(c_172480,plain,
! [X0: $i,X1: $i] :
( v3_membered(k1_zfmisc_1(k1_setfam_1(k2_tarski(X1,X0))))
| ~ v5_membered(k1_zfmisc_1(X0)) ),
inference(superposition,[status(thm)],[c_52026,c_47710]) ).
tcf(c_172481,plain,
! [X0: $i,X1: $i] :
( v2_membered(k1_zfmisc_1(k1_setfam_1(k2_tarski(X1,X0))))
| ~ v5_membered(k1_zfmisc_1(X0)) ),
inference(superposition,[status(thm)],[c_52026,c_47709]) ).
tcf(c_172482,plain,
! [X0: $i,X1: $i] :
( v1_membered(k1_zfmisc_1(k1_setfam_1(k2_tarski(X1,X0))))
| ~ v5_membered(k1_zfmisc_1(X0)) ),
inference(superposition,[status(thm)],[c_52026,c_47708]) ).
tcf(c_172483,plain,
! [X0: $i,X1: $i] :
( v1_relat_1(k1_zfmisc_1(k1_setfam_1(k2_tarski(X1,X0))))
| ~ v1_relat_1(k1_zfmisc_1(X0)) ),
inference(superposition,[status(thm)],[c_52026,c_47707]) ).
tcf(c_172484,plain,
! [X0: $i,X1: $i] : k3_tarski(k2_tarski(k5_xboole_0(k1_zfmisc_1(X0),k1_zfmisc_1(X1)),k1_zfmisc_1(k1_setfam_1(k2_tarski(X1,X0))))) = k3_tarski(k2_tarski(k1_zfmisc_1(X0),k1_zfmisc_1(X1))),
inference(superposition,[status(thm)],[c_52026,c_51640]) ).
tcf(c_172485,plain,
! [X0: $i,X1: $i] :
( v1_finset_1(k1_zfmisc_1(k1_setfam_1(k2_tarski(X1,X0))))
| ~ v1_finset_1(k1_zfmisc_1(X0)) ),
inference(superposition,[status(thm)],[c_52026,c_47706]) ).
tcf(c_172486,plain,
! [X0: $i,X1: $i] : k4_xboole_0(k3_tarski(k2_tarski(k1_zfmisc_1(X0),k1_zfmisc_1(X1))),k1_zfmisc_1(k1_setfam_1(k2_tarski(X1,X0)))) = k5_xboole_0(k1_zfmisc_1(X0),k1_zfmisc_1(X1)),
inference(superposition,[status(thm)],[c_52026,c_51197]) ).
tcf(c_172487,plain,
! [X0: $i,X1: $i] : k5_xboole_0(k1_zfmisc_1(X0),k1_zfmisc_1(k1_setfam_1(k2_tarski(X1,X0)))) = k4_xboole_0(k1_zfmisc_1(X0),k1_zfmisc_1(X1)),
inference(superposition,[status(thm)],[c_52026,c_48956]) ).
tcf(c_172488,plain,
! [X0: $i,X1: $i] : k4_xboole_0(k1_zfmisc_1(X0),k1_zfmisc_1(k1_setfam_1(k2_tarski(X1,X0)))) = k4_xboole_0(k1_zfmisc_1(X0),k1_zfmisc_1(X1)),
inference(superposition,[status(thm)],[c_52026,c_48904]) ).
tcf(c_172537,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_membered(k4_xboole_0(k1_setfam_1(k2_tarski(X1,X0)),X2))
| ~ v4_membered(X0) ),
inference(superposition,[status(thm)],[c_52024,c_47715]) ).
tcf(c_172538,plain,
! [X0: $i,X1: $i] :
( v3_membered(k1_zfmisc_1(k1_setfam_1(k2_tarski(X1,X0))))
| ~ v4_membered(k1_zfmisc_1(X0)) ),
inference(superposition,[status(thm)],[c_52026,c_47715]) ).
tcf(c_172543,plain,
! [X0: $i,X1: $i] :
( v3_membered(k1_setfam_1(k2_relat_1(sK46(X1,X0))))
| ( X1 = np__0 )
| ~ v4_membered(X0) ),
inference(superposition,[status(thm)],[c_51182,c_47715]) ).
tcf(c_172544,plain,
( v3_membered(k1_setfam_1(k1_zfmisc_1(np__0)))
| ~ v4_membered(np__0) ),
inference(superposition,[status(thm)],[c_47417,c_47715]) ).
tcf(c_172545,plain,
! [X0: $i] :
( v3_membered(k1_setfam_1(k1_zfmisc_1(k2_tarski(X0,X0))))
| ~ v4_membered(k2_tarski(X0,X0)) ),
inference(superposition,[status(thm)],[c_50679,c_47715]) ).
tcf(c_172548,plain,
( v3_membered(np__0)
| ~ v4_membered(np__0) ),
inference(light_normalisation,[status(thm)],[c_172544,c_165500]) ).
tcf(c_172553,plain,
! [X0: $i] :
( v3_membered(np__0)
| ~ v4_membered(k2_tarski(X0,X0)) ),
inference(light_normalisation,[status(thm)],[c_172545,c_170472]) ).
tcf(c_172564,plain,
! [X0: $i,X1: $i,X2: $i] :
( v4_membered(k4_xboole_0(k1_setfam_1(k2_tarski(X1,X0)),X2))
| ~ v4_membered(X0) ),
inference(superposition,[status(thm)],[c_52024,c_47716]) ).
tcf(c_172565,plain,
! [X0: $i,X1: $i] :
( v4_membered(k1_zfmisc_1(k1_setfam_1(k2_tarski(X1,X0))))
| ~ v4_membered(k1_zfmisc_1(X0)) ),
inference(superposition,[status(thm)],[c_52026,c_47716]) ).
tcf(c_172570,plain,
! [X0: $i,X1: $i] :
( v4_membered(k1_setfam_1(k2_relat_1(sK46(X1,X0))))
| ( X1 = np__0 )
| ~ v4_membered(X0) ),
inference(superposition,[status(thm)],[c_51182,c_47716]) ).
tcf(c_172571,plain,
( v4_membered(k1_setfam_1(k1_zfmisc_1(np__0)))
| ~ v4_membered(np__0) ),
inference(superposition,[status(thm)],[c_47417,c_47716]) ).
tcf(c_172572,plain,
! [X0: $i] :
( v4_membered(k1_setfam_1(k1_zfmisc_1(k2_tarski(X0,X0))))
| ~ v4_membered(k2_tarski(X0,X0)) ),
inference(superposition,[status(thm)],[c_50679,c_47716]) ).
tcf(c_172581,plain,
! [X0: $i] :
( v4_membered(np__0)
| ~ v4_membered(k2_tarski(X0,X0)) ),
inference(light_normalisation,[status(thm)],[c_172572,c_170472]) ).
tcf(c_172592,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_membered(k4_xboole_0(k1_setfam_1(k2_tarski(X1,X0)),X2))
| ~ v3_membered(X0) ),
inference(superposition,[status(thm)],[c_52024,c_47717]) ).
tcf(c_172593,plain,
! [X0: $i,X1: $i] :
( v1_membered(k1_zfmisc_1(k1_setfam_1(k2_tarski(X1,X0))))
| ~ v3_membered(k1_zfmisc_1(X0)) ),
inference(superposition,[status(thm)],[c_52026,c_47717]) ).
tcf(c_172598,plain,
! [X0: $i,X1: $i] :
( v1_membered(k1_setfam_1(k2_relat_1(sK46(X1,X0))))
| ( X1 = np__0 )
| ~ v3_membered(X0) ),
inference(superposition,[status(thm)],[c_51182,c_47717]) ).
tcf(c_172599,plain,
( v1_membered(k1_setfam_1(k1_zfmisc_1(np__0)))
| ~ v3_membered(np__0) ),
inference(superposition,[status(thm)],[c_47417,c_47717]) ).
tcf(c_172600,plain,
! [X0: $i] :
( v1_membered(k1_setfam_1(k1_zfmisc_1(k2_tarski(X0,X0))))
| ~ v3_membered(k2_tarski(X0,X0)) ),
inference(superposition,[status(thm)],[c_50679,c_47717]) ).
tcf(c_172601,plain,
( v1_membered(np__0)
| ~ v3_membered(np__0) ),
inference(light_normalisation,[status(thm)],[c_172599,c_165500]) ).
tcf(c_172606,plain,
! [X0: $i] :
( v1_membered(np__0)
| ~ v3_membered(k2_tarski(X0,X0)) ),
inference(light_normalisation,[status(thm)],[c_172600,c_170472]) ).
tcf(c_172617,plain,
! [X0: $i,X1: $i,X2: $i] :
( v2_membered(k4_xboole_0(k1_setfam_1(k2_tarski(X1,X0)),X2))
| ~ v3_membered(X0) ),
inference(superposition,[status(thm)],[c_52024,c_47718]) ).
tcf(c_172618,plain,
! [X0: $i,X1: $i] :
( v2_membered(k1_zfmisc_1(k1_setfam_1(k2_tarski(X1,X0))))
| ~ v3_membered(k1_zfmisc_1(X0)) ),
inference(superposition,[status(thm)],[c_52026,c_47718]) ).
tcf(c_172623,plain,
! [X0: $i,X1: $i] :
( v2_membered(k1_setfam_1(k2_relat_1(sK46(X1,X0))))
| ( X1 = np__0 )
| ~ v3_membered(X0) ),
inference(superposition,[status(thm)],[c_51182,c_47718]) ).
tcf(c_172624,plain,
( v2_membered(k1_setfam_1(k1_zfmisc_1(np__0)))
| ~ v3_membered(np__0) ),
inference(superposition,[status(thm)],[c_47417,c_47718]) ).
tcf(c_172625,plain,
! [X0: $i] :
( v2_membered(k1_setfam_1(k1_zfmisc_1(k2_tarski(X0,X0))))
| ~ v3_membered(k2_tarski(X0,X0)) ),
inference(superposition,[status(thm)],[c_50679,c_47718]) ).
tcf(c_172627,plain,
( v2_membered(np__0)
| ~ v3_membered(np__0) ),
inference(light_normalisation,[status(thm)],[c_172624,c_165500]) ).
tcf(c_172632,plain,
! [X0: $i] :
( v2_membered(np__0)
| ~ v3_membered(k2_tarski(X0,X0)) ),
inference(light_normalisation,[status(thm)],[c_172625,c_170472]) ).
tcf(c_172642,plain,
( v1_relat_1(k1_numbers)
| v1_xcmplx_0(sK92(k1_numbers)) ),
inference(superposition,[status(thm)],[c_172432,c_2750]) ).
tcf(c_172662,plain,
! [X0: $i] :
( v5_membered(X0)
| ~ r2_hidden(X0,sK92(X0)) ),
inference(superposition,[status(thm)],[c_167529,c_631]) ).
tcf(c_172664,plain,
! [X0: $i] :
( v5_membered(X0)
| m1_subset_1(sK92(X0),X0) ),
inference(superposition,[status(thm)],[c_167529,c_626]) ).
tcf(c_172666,plain,
! [X0: $i] :
( v5_membered(k1_zfmisc_1(X0))
| r1_tarski(sK92(k1_zfmisc_1(X0)),X0) ),
inference(superposition,[status(thm)],[c_167529,c_563]) ).
tcf(c_172668,plain,
( v5_membered(k4_numbers)
| v1_int_1(sK92(k4_numbers)) ),
inference(superposition,[status(thm)],[c_167529,c_2722]) ).
tcf(c_172669,plain,
( v5_membered(k1_numbers)
| v1_xreal_0(sK92(k1_numbers)) ),
inference(superposition,[status(thm)],[c_167529,c_2743]) ).
tcf(c_172670,plain,
! [X0: $i] :
( v5_membered(k5_finsub_1(X0))
| r1_tarski(sK92(k5_finsub_1(X0)),X0) ),
inference(superposition,[status(thm)],[c_167529,c_14776]) ).
tcf(c_172671,plain,
! [X0: $i] :
( v5_membered(k5_finsub_1(X0))
| v1_finset_1(sK92(k5_finsub_1(X0))) ),
inference(superposition,[status(thm)],[c_167529,c_14774]) ).
tcf(c_172693,plain,
( v5_membered(k4_numbers)
| v1_xreal_0(sK92(k4_numbers)) ),
inference(superposition,[status(thm)],[c_172668,c_2716]) ).
tcf(c_172694,plain,
( v5_membered(k4_numbers)
| v1_xcmplx_0(sK92(k4_numbers)) ),
inference(superposition,[status(thm)],[c_172668,c_2715]) ).
tcf(c_172703,plain,
( v5_membered(k1_numbers)
| v1_xcmplx_0(sK92(k1_numbers)) ),
inference(superposition,[status(thm)],[c_172669,c_2750]) ).
tcf(c_172723,plain,
! [X0: $i] :
( v4_membered(X0)
| ~ r2_hidden(X0,sK92(X0)) ),
inference(superposition,[status(thm)],[c_167531,c_631]) ).
tcf(c_172725,plain,
! [X0: $i] :
( v4_membered(X0)
| m1_subset_1(sK92(X0),X0) ),
inference(superposition,[status(thm)],[c_167531,c_626]) ).
tcf(c_172727,plain,
! [X0: $i] :
( v4_membered(k1_zfmisc_1(X0))
| r1_tarski(sK92(k1_zfmisc_1(X0)),X0) ),
inference(superposition,[status(thm)],[c_167531,c_563]) ).
tcf(c_172730,plain,
( v4_membered(k1_numbers)
| v1_xreal_0(sK92(k1_numbers)) ),
inference(superposition,[status(thm)],[c_167531,c_2743]) ).
tcf(c_172731,plain,
! [X0: $i] :
( v4_membered(k5_finsub_1(X0))
| r1_tarski(sK92(k5_finsub_1(X0)),X0) ),
inference(superposition,[status(thm)],[c_167531,c_14776]) ).
tcf(c_172732,plain,
! [X0: $i] :
( v4_membered(k5_finsub_1(X0))
| v1_finset_1(sK92(k5_finsub_1(X0))) ),
inference(superposition,[status(thm)],[c_167531,c_14774]) ).
tcf(c_172752,plain,
( v4_membered(k1_numbers)
| v1_xcmplx_0(sK92(k1_numbers)) ),
inference(superposition,[status(thm)],[c_172730,c_2750]) ).
tcf(c_172756,plain,
! [X0: $i,X1: $i] : k1_setfam_1(k2_tarski(k5_finsub_1(X0),k5_finsub_1(X1))) = k5_finsub_1(k1_setfam_1(k2_tarski(X1,X0))),
inference(superposition,[status(thm)],[c_2707,c_52028]) ).
tcf(c_172758,plain,
! [X0: $i,X1: $i] :
( ( X0 = np__0 )
| ( k1_setfam_1(k2_relat_1(sK46(X0,k5_finsub_1(X1)))) = k5_finsub_1(k1_setfam_1(k2_tarski(X1,X1))) ) ),
inference(superposition,[status(thm)],[c_51182,c_52028]) ).
tcf(c_172759,plain,
! [X0: $i] : k1_setfam_1(k2_tarski(k1_zfmisc_1(np__0),k5_finsub_1(X0))) = k5_finsub_1(k1_setfam_1(k2_tarski(np__0,X0))),
inference(superposition,[status(thm)],[c_46572,c_52028]) ).
tcf(c_172760,plain,
! [X0: $i] : k1_setfam_1(k2_tarski(k5_finsub_1(X0),k1_zfmisc_1(np__0))) = k5_finsub_1(k1_setfam_1(k2_tarski(X0,np__0))),
inference(superposition,[status(thm)],[c_46572,c_52028]) ).
tcf(c_172761,plain,
! [X0: $i,X1: $i] : ~ r2_hidden(k3_tarski(k2_tarski(k5_finsub_1(X0),k5_finsub_1(X1))),k5_finsub_1(k1_setfam_1(k2_tarski(X0,X1)))),
inference(superposition,[status(thm)],[c_52028,c_167159]) ).
tcf(c_172762,plain,
! [X0: $i,X1: $i] :
( v3_ordinal1(k5_finsub_1(k1_setfam_1(k2_tarski(X0,X1))))
| ~ v1_xboole_0(k2_tarski(k5_finsub_1(X0),k5_finsub_1(X1))) ),
inference(superposition,[status(thm)],[c_52028,c_164422]) ).
tcf(c_172763,plain,
! [X0: $i,X1: $i] : r1_tarski(k5_finsub_1(k1_setfam_1(k2_tarski(X0,X1))),k3_tarski(k2_tarski(k5_finsub_1(X0),k5_finsub_1(X1)))),
inference(superposition,[status(thm)],[c_52028,c_2542]) ).
tcf(c_172764,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k5_finsub_1(k1_setfam_1(k2_tarski(X1,X2))),X0)
| ~ r2_hidden(X0,k2_tarski(k5_finsub_1(X1),k5_finsub_1(X2))) ),
inference(superposition,[status(thm)],[c_52028,c_2541]) ).
tcf(c_172765,plain,
! [X0: $i,X1: $i] : r1_xboole_0(k5_finsub_1(k1_setfam_1(k2_tarski(X0,X1))),k5_xboole_0(k5_finsub_1(X0),k5_finsub_1(X1))),
inference(superposition,[status(thm)],[c_52028,c_47705]) ).
tcf(c_172766,plain,
! [X0: $i,X1: $i] : k5_relat_1(k6_partfun1(k5_finsub_1(X0)),k6_partfun1(k5_finsub_1(X1))) = k6_partfun1(k5_finsub_1(k1_setfam_1(k2_tarski(X0,X1)))),
inference(superposition,[status(thm)],[c_52028,c_49266]) ).
tcf(c_172767,plain,
! [X0: $i,X1: $i] : k3_tarski(k2_tarski(k5_finsub_1(X0),k5_finsub_1(k1_setfam_1(k2_tarski(X0,X1))))) = k5_finsub_1(X0),
inference(superposition,[status(thm)],[c_52028,c_48096]) ).
tcf(c_172768,plain,
! [X0: $i,X1: $i] : r1_tarski(k5_finsub_1(k1_setfam_1(k2_tarski(X0,X1))),k5_finsub_1(X1)),
inference(superposition,[status(thm)],[c_52028,c_162385]) ).
tcf(c_172769,plain,
! [X0: $i,X1: $i] : r1_tarski(k5_finsub_1(k1_setfam_1(k2_tarski(X0,X1))),k5_finsub_1(X0)),
inference(superposition,[status(thm)],[c_52028,c_160602]) ).
tcf(c_172770,plain,
! [X0: $i] : k5_finsub_1(k1_setfam_1(k2_tarski(X0,X0))) = k5_finsub_1(X0),
inference(superposition,[status(thm)],[c_52028,c_47410]) ).
tcf(c_172771,plain,
! [X0: $i,X1: $i] :
( v2_membered(k5_finsub_1(k1_setfam_1(k2_tarski(X1,X0))))
| ~ v3_membered(k5_finsub_1(X0)) ),
inference(superposition,[status(thm)],[c_52028,c_47718]) ).
tcf(c_172772,plain,
! [X0: $i,X1: $i] :
( v1_membered(k5_finsub_1(k1_setfam_1(k2_tarski(X1,X0))))
| ~ v3_membered(k5_finsub_1(X0)) ),
inference(superposition,[status(thm)],[c_52028,c_47717]) ).
tcf(c_172773,plain,
! [X0: $i,X1: $i] :
( v4_membered(k5_finsub_1(k1_setfam_1(k2_tarski(X1,X0))))
| ~ v4_membered(k5_finsub_1(X0)) ),
inference(superposition,[status(thm)],[c_52028,c_47716]) ).
tcf(c_172774,plain,
! [X0: $i,X1: $i] :
( v3_membered(k5_finsub_1(k1_setfam_1(k2_tarski(X1,X0))))
| ~ v4_membered(k5_finsub_1(X0)) ),
inference(superposition,[status(thm)],[c_52028,c_47715]) ).
tcf(c_172775,plain,
! [X0: $i,X1: $i] :
( v2_membered(k5_finsub_1(k1_setfam_1(k2_tarski(X1,X0))))
| ~ v4_membered(k5_finsub_1(X0)) ),
inference(superposition,[status(thm)],[c_52028,c_47714]) ).
tcf(c_172776,plain,
! [X0: $i,X1: $i] :
( v1_membered(k5_finsub_1(k1_setfam_1(k2_tarski(X1,X0))))
| ~ v4_membered(k5_finsub_1(X0)) ),
inference(superposition,[status(thm)],[c_52028,c_47713]) ).
tcf(c_172777,plain,
! [X0: $i,X1: $i] :
( v5_membered(k5_finsub_1(k1_setfam_1(k2_tarski(X1,X0))))
| ~ v5_membered(k5_finsub_1(X0)) ),
inference(superposition,[status(thm)],[c_52028,c_47712]) ).
tcf(c_172778,plain,
! [X0: $i,X1: $i] :
( v4_membered(k5_finsub_1(k1_setfam_1(k2_tarski(X1,X0))))
| ~ v5_membered(k5_finsub_1(X0)) ),
inference(superposition,[status(thm)],[c_52028,c_47711]) ).
tcf(c_172779,plain,
! [X0: $i,X1: $i] :
( v3_membered(k5_finsub_1(k1_setfam_1(k2_tarski(X1,X0))))
| ~ v5_membered(k5_finsub_1(X0)) ),
inference(superposition,[status(thm)],[c_52028,c_47710]) ).
tcf(c_172780,plain,
! [X0: $i,X1: $i] :
( v2_membered(k5_finsub_1(k1_setfam_1(k2_tarski(X1,X0))))
| ~ v5_membered(k5_finsub_1(X0)) ),
inference(superposition,[status(thm)],[c_52028,c_47709]) ).
tcf(c_172781,plain,
! [X0: $i,X1: $i] :
( v1_membered(k5_finsub_1(k1_setfam_1(k2_tarski(X1,X0))))
| ~ v5_membered(k5_finsub_1(X0)) ),
inference(superposition,[status(thm)],[c_52028,c_47708]) ).
tcf(c_172782,plain,
! [X0: $i,X1: $i] :
( v1_relat_1(k5_finsub_1(k1_setfam_1(k2_tarski(X1,X0))))
| ~ v1_relat_1(k5_finsub_1(X0)) ),
inference(superposition,[status(thm)],[c_52028,c_47707]) ).
tcf(c_172783,plain,
! [X0: $i,X1: $i] : k3_tarski(k2_tarski(k5_xboole_0(k5_finsub_1(X0),k5_finsub_1(X1)),k5_finsub_1(k1_setfam_1(k2_tarski(X1,X0))))) = k3_tarski(k2_tarski(k5_finsub_1(X0),k5_finsub_1(X1))),
inference(superposition,[status(thm)],[c_52028,c_51640]) ).
tcf(c_172784,plain,
! [X0: $i,X1: $i] :
( v1_finset_1(k5_finsub_1(k1_setfam_1(k2_tarski(X1,X0))))
| ~ v1_finset_1(k5_finsub_1(X0)) ),
inference(superposition,[status(thm)],[c_52028,c_47706]) ).
tcf(c_172785,plain,
! [X0: $i,X1: $i] : k4_xboole_0(k3_tarski(k2_tarski(k5_finsub_1(X0),k5_finsub_1(X1))),k5_finsub_1(k1_setfam_1(k2_tarski(X1,X0)))) = k5_xboole_0(k5_finsub_1(X0),k5_finsub_1(X1)),
inference(superposition,[status(thm)],[c_52028,c_51197]) ).
tcf(c_172786,plain,
! [X0: $i,X1: $i] : k5_xboole_0(k5_finsub_1(X0),k5_finsub_1(k1_setfam_1(k2_tarski(X1,X0)))) = k4_xboole_0(k5_finsub_1(X0),k5_finsub_1(X1)),
inference(superposition,[status(thm)],[c_52028,c_48956]) ).
tcf(c_172787,plain,
! [X0: $i,X1: $i] : k4_xboole_0(k5_finsub_1(X0),k5_finsub_1(k1_setfam_1(k2_tarski(X1,X0)))) = k4_xboole_0(k5_finsub_1(X0),k5_finsub_1(X1)),
inference(superposition,[status(thm)],[c_52028,c_48904]) ).
tcf(c_172815,plain,
! [X0: $i] : k1_setfam_1(k2_tarski(k5_finsub_1(X0),k1_zfmisc_1(np__0))) = k1_zfmisc_1(np__0),
inference(light_normalisation,[status(thm)],[c_172760,c_46572,c_160609]) ).
tcf(c_172816,plain,
! [X0: $i] : k1_setfam_1(k2_tarski(k1_zfmisc_1(np__0),k5_finsub_1(X0))) = k5_finsub_1(k4_xboole_0(np__0,np__0)),
inference(light_normalisation,[status(thm)],[c_172759,c_160599]) ).
tcf(c_172852,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_membered(k4_xboole_0(k1_setfam_1(k2_tarski(X1,X0)),X2))
| ~ v3_membered(X0) ),
inference(superposition,[status(thm)],[c_52024,c_47719]) ).
tcf(c_172853,plain,
! [X0: $i,X1: $i] :
( v3_membered(k1_zfmisc_1(k1_setfam_1(k2_tarski(X1,X0))))
| ~ v3_membered(k1_zfmisc_1(X0)) ),
inference(superposition,[status(thm)],[c_52026,c_47719]) ).
tcf(c_172854,plain,
! [X0: $i,X1: $i] :
( v3_membered(k5_finsub_1(k1_setfam_1(k2_tarski(X1,X0))))
| ~ v3_membered(k5_finsub_1(X0)) ),
inference(superposition,[status(thm)],[c_52028,c_47719]) ).
tcf(c_172859,plain,
! [X0: $i,X1: $i] :
( v3_membered(k1_setfam_1(k2_relat_1(sK46(X1,X0))))
| ( X1 = np__0 )
| ~ v3_membered(X0) ),
inference(superposition,[status(thm)],[c_51182,c_47719]) ).
tcf(c_172860,plain,
( v3_membered(k1_setfam_1(k1_zfmisc_1(np__0)))
| ~ v3_membered(np__0) ),
inference(superposition,[status(thm)],[c_47417,c_47719]) ).
tcf(c_172861,plain,
! [X0: $i] :
( v3_membered(k1_setfam_1(k1_zfmisc_1(k2_tarski(X0,X0))))
| ~ v3_membered(k2_tarski(X0,X0)) ),
inference(superposition,[status(thm)],[c_50679,c_47719]) ).
tcf(c_172871,plain,
! [X0: $i] :
( v3_membered(np__0)
| ~ v3_membered(k2_tarski(X0,X0)) ),
inference(light_normalisation,[status(thm)],[c_172861,c_170472]) ).
tcf(c_172883,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_membered(k4_xboole_0(k1_setfam_1(k2_tarski(X1,X0)),X2))
| ~ v2_membered(X0) ),
inference(superposition,[status(thm)],[c_52024,c_47720]) ).
tcf(c_172884,plain,
! [X0: $i,X1: $i] :
( v1_membered(k1_zfmisc_1(k1_setfam_1(k2_tarski(X1,X0))))
| ~ v2_membered(k1_zfmisc_1(X0)) ),
inference(superposition,[status(thm)],[c_52026,c_47720]) ).
tcf(c_172885,plain,
! [X0: $i,X1: $i] :
( v1_membered(k5_finsub_1(k1_setfam_1(k2_tarski(X1,X0))))
| ~ v2_membered(k5_finsub_1(X0)) ),
inference(superposition,[status(thm)],[c_52028,c_47720]) ).
tcf(c_172890,plain,
! [X0: $i,X1: $i] :
( v1_membered(k1_setfam_1(k2_relat_1(sK46(X1,X0))))
| ( X1 = np__0 )
| ~ v2_membered(X0) ),
inference(superposition,[status(thm)],[c_51182,c_47720]) ).
tcf(c_172891,plain,
( v1_membered(k1_setfam_1(k1_zfmisc_1(np__0)))
| ~ v2_membered(np__0) ),
inference(superposition,[status(thm)],[c_47417,c_47720]) ).
tcf(c_172892,plain,
! [X0: $i] :
( v1_membered(k1_setfam_1(k1_zfmisc_1(k2_tarski(X0,X0))))
| ~ v2_membered(k2_tarski(X0,X0)) ),
inference(superposition,[status(thm)],[c_50679,c_47720]) ).
tcf(c_172893,plain,
( v1_membered(np__0)
| ~ v2_membered(np__0) ),
inference(light_normalisation,[status(thm)],[c_172891,c_165500]) ).
tcf(c_172900,plain,
! [X0: $i] :
( v1_membered(np__0)
| ~ v2_membered(k2_tarski(X0,X0)) ),
inference(light_normalisation,[status(thm)],[c_172892,c_170472]) ).
tcf(c_172912,plain,
! [X0: $i,X1: $i,X2: $i] :
( v2_membered(k4_xboole_0(k1_setfam_1(k2_tarski(X1,X0)),X2))
| ~ v2_membered(X0) ),
inference(superposition,[status(thm)],[c_52024,c_47721]) ).
tcf(c_172913,plain,
! [X0: $i,X1: $i] :
( v2_membered(k1_zfmisc_1(k1_setfam_1(k2_tarski(X1,X0))))
| ~ v2_membered(k1_zfmisc_1(X0)) ),
inference(superposition,[status(thm)],[c_52026,c_47721]) ).
tcf(c_172914,plain,
! [X0: $i,X1: $i] :
( v2_membered(k5_finsub_1(k1_setfam_1(k2_tarski(X1,X0))))
| ~ v2_membered(k5_finsub_1(X0)) ),
inference(superposition,[status(thm)],[c_52028,c_47721]) ).
tcf(c_172919,plain,
! [X0: $i,X1: $i] :
( v2_membered(k1_setfam_1(k2_relat_1(sK46(X1,X0))))
| ( X1 = np__0 )
| ~ v2_membered(X0) ),
inference(superposition,[status(thm)],[c_51182,c_47721]) ).
tcf(c_172920,plain,
( v2_membered(k1_setfam_1(k1_zfmisc_1(np__0)))
| ~ v2_membered(np__0) ),
inference(superposition,[status(thm)],[c_47417,c_47721]) ).
tcf(c_172921,plain,
! [X0: $i] :
( v2_membered(k1_setfam_1(k1_zfmisc_1(k2_tarski(X0,X0))))
| ~ v2_membered(k2_tarski(X0,X0)) ),
inference(superposition,[status(thm)],[c_50679,c_47721]) ).
tcf(c_172930,plain,
! [X0: $i] :
( v2_membered(np__0)
| ~ v2_membered(k2_tarski(X0,X0)) ),
inference(light_normalisation,[status(thm)],[c_172921,c_170472]) ).
tcf(c_172942,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_membered(k4_xboole_0(k1_setfam_1(k2_tarski(X1,X0)),X2))
| ~ v1_membered(X0) ),
inference(superposition,[status(thm)],[c_52024,c_47722]) ).
tcf(c_172943,plain,
! [X0: $i,X1: $i] :
( v1_membered(k1_zfmisc_1(k1_setfam_1(k2_tarski(X1,X0))))
| ~ v1_membered(k1_zfmisc_1(X0)) ),
inference(superposition,[status(thm)],[c_52026,c_47722]) ).
tcf(c_172944,plain,
! [X0: $i,X1: $i] :
( v1_membered(k5_finsub_1(k1_setfam_1(k2_tarski(X1,X0))))
| ~ v1_membered(k5_finsub_1(X0)) ),
inference(superposition,[status(thm)],[c_52028,c_47722]) ).
tcf(c_172949,plain,
! [X0: $i,X1: $i] :
( v1_membered(k1_setfam_1(k2_relat_1(sK46(X1,X0))))
| ( X1 = np__0 )
| ~ v1_membered(X0) ),
inference(superposition,[status(thm)],[c_51182,c_47722]) ).
tcf(c_172950,plain,
( v1_membered(k1_setfam_1(k1_zfmisc_1(np__0)))
| ~ v1_membered(np__0) ),
inference(superposition,[status(thm)],[c_47417,c_47722]) ).
tcf(c_172951,plain,
! [X0: $i] :
( v1_membered(k1_setfam_1(k1_zfmisc_1(k2_tarski(X0,X0))))
| ~ v1_membered(k2_tarski(X0,X0)) ),
inference(superposition,[status(thm)],[c_50679,c_47722]) ).
tcf(c_172959,plain,
! [X0: $i] :
( v1_membered(np__0)
| ~ v1_membered(k2_tarski(X0,X0)) ),
inference(light_normalisation,[status(thm)],[c_172951,c_170472]) ).
tcf(c_172974,plain,
! [X0: $i] :
( v2_membered(X0)
| ~ r2_hidden(X0,sK92(X0)) ),
inference(superposition,[status(thm)],[c_167534,c_631]) ).
tcf(c_172976,plain,
! [X0: $i] :
( v2_membered(X0)
| m1_subset_1(sK92(X0),X0) ),
inference(superposition,[status(thm)],[c_167534,c_626]) ).
tcf(c_172978,plain,
! [X0: $i] :
( v2_membered(k1_zfmisc_1(X0))
| r1_tarski(sK92(k1_zfmisc_1(X0)),X0) ),
inference(superposition,[status(thm)],[c_167534,c_563]) ).
tcf(c_172982,plain,
! [X0: $i] :
( v2_membered(k5_finsub_1(X0))
| r1_tarski(sK92(k5_finsub_1(X0)),X0) ),
inference(superposition,[status(thm)],[c_167534,c_14776]) ).
tcf(c_172983,plain,
! [X0: $i] :
( v2_membered(k5_finsub_1(X0))
| v1_finset_1(sK92(k5_finsub_1(X0))) ),
inference(superposition,[status(thm)],[c_167534,c_14774]) ).
tcf(c_173000,plain,
! [X0: $i] :
( v1_membered(X0)
| ~ r2_hidden(X0,sK92(X0)) ),
inference(superposition,[status(thm)],[c_167536,c_631]) ).
tcf(c_173002,plain,
! [X0: $i] :
( v1_membered(X0)
| m1_subset_1(sK92(X0),X0) ),
inference(superposition,[status(thm)],[c_167536,c_626]) ).
tcf(c_173004,plain,
! [X0: $i] :
( v1_membered(k1_zfmisc_1(X0))
| r1_tarski(sK92(k1_zfmisc_1(X0)),X0) ),
inference(superposition,[status(thm)],[c_167536,c_563]) ).
tcf(c_173008,plain,
! [X0: $i] :
( v1_membered(k5_finsub_1(X0))
| r1_tarski(sK92(k5_finsub_1(X0)),X0) ),
inference(superposition,[status(thm)],[c_167536,c_14776]) ).
tcf(c_173009,plain,
! [X0: $i] :
( v1_membered(k5_finsub_1(X0))
| v1_finset_1(sK92(k5_finsub_1(X0))) ),
inference(superposition,[status(thm)],[c_167536,c_14774]) ).
tcf(c_173026,plain,
! [X0: $i] :
( v1_realset1(X0)
| ~ r2_hidden(X0,sK92(X0)) ),
inference(superposition,[status(thm)],[c_167537,c_631]) ).
tcf(c_173028,plain,
! [X0: $i] :
( v1_realset1(X0)
| m1_subset_1(sK92(X0),X0) ),
inference(superposition,[status(thm)],[c_167537,c_626]) ).
tcf(c_173030,plain,
! [X0: $i] :
( v1_realset1(k1_zfmisc_1(X0))
| r1_tarski(sK92(k1_zfmisc_1(X0)),X0) ),
inference(superposition,[status(thm)],[c_167537,c_563]) ).
tcf(c_173032,plain,
( v1_realset1(k4_numbers)
| v1_int_1(sK92(k4_numbers)) ),
inference(superposition,[status(thm)],[c_167537,c_2722]) ).
tcf(c_173033,plain,
( v1_realset1(k1_numbers)
| v1_xreal_0(sK92(k1_numbers)) ),
inference(superposition,[status(thm)],[c_167537,c_2743]) ).
tcf(c_173034,plain,
! [X0: $i] :
( v1_realset1(k5_finsub_1(X0))
| r1_tarski(sK92(k5_finsub_1(X0)),X0) ),
inference(superposition,[status(thm)],[c_167537,c_14776]) ).
tcf(c_173035,plain,
! [X0: $i] :
( v1_realset1(k5_finsub_1(X0))
| v1_finset_1(sK92(k5_finsub_1(X0))) ),
inference(superposition,[status(thm)],[c_167537,c_14774]) ).
tcf(c_173056,plain,
( v1_realset1(k4_numbers)
| v1_xreal_0(sK92(k4_numbers)) ),
inference(superposition,[status(thm)],[c_173032,c_2716]) ).
tcf(c_173057,plain,
( v1_realset1(k4_numbers)
| v1_xcmplx_0(sK92(k4_numbers)) ),
inference(superposition,[status(thm)],[c_173032,c_2715]) ).
tcf(c_173066,plain,
( v1_realset1(k1_numbers)
| v1_xcmplx_0(sK92(k1_numbers)) ),
inference(superposition,[status(thm)],[c_173033,c_2750]) ).
tcf(c_173086,plain,
! [X0: $i] :
( v3_ordinal1(X0)
| ~ r2_hidden(X0,sK92(X0)) ),
inference(superposition,[status(thm)],[c_167548,c_631]) ).
tcf(c_173088,plain,
! [X0: $i] :
( v3_ordinal1(X0)
| m1_subset_1(sK92(X0),X0) ),
inference(superposition,[status(thm)],[c_167548,c_626]) ).
tcf(c_173090,plain,
! [X0: $i] :
( v3_ordinal1(k1_zfmisc_1(X0))
| r1_tarski(sK92(k1_zfmisc_1(X0)),X0) ),
inference(superposition,[status(thm)],[c_167548,c_563]) ).
tcf(c_173092,plain,
( v3_ordinal1(k4_numbers)
| v1_int_1(sK92(k4_numbers)) ),
inference(superposition,[status(thm)],[c_167548,c_2722]) ).
tcf(c_173093,plain,
( v3_ordinal1(k1_numbers)
| v1_xreal_0(sK92(k1_numbers)) ),
inference(superposition,[status(thm)],[c_167548,c_2743]) ).
tcf(c_173094,plain,
! [X0: $i] :
( v3_ordinal1(k5_finsub_1(X0))
| r1_tarski(sK92(k5_finsub_1(X0)),X0) ),
inference(superposition,[status(thm)],[c_167548,c_14776]) ).
tcf(c_173095,plain,
! [X0: $i] :
( v3_ordinal1(k5_finsub_1(X0))
| v1_finset_1(sK92(k5_finsub_1(X0))) ),
inference(superposition,[status(thm)],[c_167548,c_14774]) ).
tcf(c_173117,plain,
( v3_ordinal1(k4_numbers)
| v1_xreal_0(sK92(k4_numbers)) ),
inference(superposition,[status(thm)],[c_173092,c_2716]) ).
tcf(c_173118,plain,
( v3_ordinal1(k4_numbers)
| v1_xcmplx_0(sK92(k4_numbers)) ),
inference(superposition,[status(thm)],[c_173092,c_2715]) ).
tcf(c_173127,plain,
( v3_ordinal1(k1_numbers)
| v1_xcmplx_0(sK92(k1_numbers)) ),
inference(superposition,[status(thm)],[c_173093,c_2750]) ).
tcf(c_173193,plain,
! [X0: $i,X1: $i] : k2_enumset1(X0,X0,X1,X1) = k2_tarski(X0,X1),
inference(superposition,[status(thm)],[c_52485,c_3626]) ).
tcf(c_173200,plain,
! [X0: $i,X1: $i,X2: $i] : k2_enumset1(X0,X1,X2,X0) = k2_enumset1(X0,X1,X2,X2),
inference(superposition,[status(thm)],[c_52485,c_3618]) ).
tcf(c_173209,plain,
! [X0: $i,X1: $i,X2: $i] : v1_finset_1(k2_enumset1(X0,X1,X2,X2)),
inference(superposition,[status(thm)],[c_52485,c_3607]) ).
tcf(c_173212,plain,
! [X0: $i,X1: $i,X2: $i] : k2_enumset1(X0,X1,X2,X2) = k2_enumset1(X2,X1,X0,X0),
inference(superposition,[status(thm)],[c_52485,c_3612]) ).
tcf(c_173213,plain,
! [X0: $i,X1: $i,X2: $i] : k2_enumset1(X0,X1,X2,X2) = k2_enumset1(X1,X2,X0,X0),
inference(superposition,[status(thm)],[c_52485,c_3613]) ).
tcf(c_173216,plain,
! [X0: $i,X1: $i,X2: $i] : k2_enumset1(X0,X1,X2,X1) = k2_enumset1(X1,X2,X0,X0),
inference(superposition,[status(thm)],[c_52485,c_3616]) ).
tcf(c_173217,plain,
! [X0: $i,X1: $i,X2: $i] : k2_enumset1(X0,X1,X2,X1) = k2_enumset1(X1,X0,X2,X2),
inference(superposition,[status(thm)],[c_52485,c_3617]) ).
tcf(c_173219,plain,
! [X0: $i,X1: $i,X2: $i] : k2_enumset1(X0,X1,X1,X2) = k2_enumset1(X1,X2,X0,X0),
inference(superposition,[status(thm)],[c_52485,c_3618]) ).
tcf(c_173221,plain,
! [X0: $i,X1: $i,X2: $i] : k2_enumset1(X0,X1,X1,X2) = k2_enumset1(X1,X0,X2,X2),
inference(superposition,[status(thm)],[c_52485,c_3619]) ).
tcf(c_173224,plain,
! [X0: $i,X1: $i,X2: $i] : k2_enumset1(X0,X1,X2,X0) = k2_enumset1(X0,X2,X1,X1),
inference(superposition,[status(thm)],[c_52485,c_3622]) ).
tcf(c_173225,plain,
! [X0: $i,X1: $i,X2: $i] : k2_enumset1(X0,X1,X0,X2) = k2_enumset1(X0,X2,X1,X1),
inference(superposition,[status(thm)],[c_52485,c_3623]) ).
tcf(c_173226,plain,
! [X0: $i,X1: $i,X2: $i] : k2_enumset1(X0,X1,X0,X2) = k2_enumset1(X0,X1,X2,X2),
inference(superposition,[status(thm)],[c_52485,c_3624]) ).
tcf(c_173227,plain,
! [X0: $i,X1: $i,X2: $i] : k2_enumset1(X0,X0,X1,X2) = k2_enumset1(X0,X2,X1,X1),
inference(superposition,[status(thm)],[c_52485,c_3625]) ).
tcf(c_173236,plain,
! [X0: $i,X1: $i,X2: $i] : k2_enumset1(X0,X0,X1,X2) = k2_enumset1(X1,X2,X0,X2),
inference(superposition,[status(thm)],[c_52485,c_3617]) ).
tcf(c_173237,plain,
! [X0: $i,X1: $i,X2: $i] : k2_enumset1(X0,X0,X1,X2) = k2_enumset1(X1,X2,X2,X0),
inference(superposition,[status(thm)],[c_52485,c_3616]) ).
tcf(c_173244,plain,
! [X0: $i,X1: $i,X2: $i] : v1_finset_1(k2_enumset1(X0,X0,X1,X2)),
inference(superposition,[status(thm)],[c_52485,c_3607]) ).
tcf(c_173245,plain,
! [X0: $i,X1: $i] : k2_enumset1(X0,X0,X0,X1) = k2_enumset1(X0,X1,X1,X1),
inference(superposition,[status(thm)],[c_52485,c_52485]) ).
tcf(c_173247,plain,
! [X0: $i,X1: $i,X2: $i] : k2_enumset1(X0,X0,X1,X2) = k2_enumset1(X2,X1,X2,X0),
inference(superposition,[status(thm)],[c_52485,c_3611]) ).
tcf(c_173250,plain,
! [X0: $i,X1: $i,X2: $i] : k2_enumset1(X0,X0,X1,X2) = k2_enumset1(X2,X1,X0,X2),
inference(superposition,[status(thm)],[c_52485,c_3614]) ).
tcf(c_173252,plain,
! [X0: $i,X1: $i,X2: $i] : k2_enumset1(X0,X0,X1,X2) = k2_enumset1(X2,X0,X2,X1),
inference(superposition,[status(thm)],[c_52485,c_3616]) ).
tcf(c_173257,plain,
! [X0: $i,X1: $i,X2: $i] : k2_enumset1(X0,X0,X1,X2) = k2_enumset1(X2,X0,X1,X2),
inference(superposition,[status(thm)],[c_52485,c_3619]) ).
tcf(c_173260,plain,
! [X0: $i,X1: $i,X2: $i] : k2_enumset1(X0,X0,X1,X2) = k2_enumset1(X1,X0,X2,X2),
inference(superposition,[status(thm)],[c_52485,c_3621]) ).
tcf(c_173261,plain,
! [X0: $i,X1: $i,X2: $i] : k2_enumset1(X0,X0,X1,X2) = k2_enumset1(X0,X2,X2,X1),
inference(superposition,[status(thm)],[c_52485,c_3622]) ).
tcf(c_173262,plain,
! [X0: $i,X1: $i,X2: $i] : k2_enumset1(X0,X0,X1,X2) = k2_enumset1(X0,X2,X1,X2),
inference(superposition,[status(thm)],[c_52485,c_3623]) ).
tcf(c_173267,plain,
! [X0: $i,X1: $i] :
( ( X0 = np__0 )
| ~ r1_xboole_0(k2_relat_1(sK46(X0,X1)),k2_relat_1(sK46(X0,X1))) ),
inference(superposition,[status(thm)],[c_51182,c_48546]) ).
tcf(c_173268,plain,
~ r1_xboole_0(k1_zfmisc_1(np__0),k1_zfmisc_1(np__0)),
inference(superposition,[status(thm)],[c_47417,c_48546]) ).
tcf(c_173277,plain,
! [X0: $i] :
( v4_finsub_1(u1_struct_0(X0))
| ~ l1_struct_0(X0)
| ~ v3_struct_0(X0) ),
inference(superposition,[status(thm)],[c_155,c_161211]) ).
tcf(c_173278,plain,
! [X0: $i] :
( v3_ordinal1(u1_struct_0(X0))
| ~ l1_struct_0(X0)
| ~ v3_struct_0(X0) ),
inference(superposition,[status(thm)],[c_155,c_161210]) ).
tcf(c_173279,plain,
! [X0: $i] :
( ( u1_struct_0(X0) = np__0 )
| ~ l1_struct_0(X0)
| ~ v3_struct_0(X0) ),
inference(superposition,[status(thm)],[c_155,c_600]) ).
tcf(c_173280,plain,
! [X0: $i] :
( v2_funct_1(u1_struct_0(X0))
| ~ l1_struct_0(X0)
| ~ v3_struct_0(X0) ),
inference(superposition,[status(thm)],[c_155,c_6810]) ).
tcf(c_173281,plain,
! [X0: $i] :
( v1_realset1(u1_struct_0(X0))
| ~ l1_struct_0(X0)
| ~ v3_struct_0(X0) ),
inference(superposition,[status(thm)],[c_155,c_2002]) ).
tcf(c_173282,plain,
! [X0: $i] :
( v1_finset_1(u1_struct_0(X0))
| ~ l1_struct_0(X0)
| ~ v3_struct_0(X0) ),
inference(superposition,[status(thm)],[c_155,c_1700]) ).
tcf(c_173283,plain,
! [X0: $i] :
( v5_membered(u1_struct_0(X0))
| ~ l1_struct_0(X0)
| ~ v3_struct_0(X0) ),
inference(superposition,[status(thm)],[c_155,c_1393]) ).
tcf(c_173284,plain,
! [X0: $i] :
( v4_membered(u1_struct_0(X0))
| ~ l1_struct_0(X0)
| ~ v3_struct_0(X0) ),
inference(superposition,[status(thm)],[c_155,c_1392]) ).
tcf(c_173285,plain,
! [X0: $i] :
( v3_membered(u1_struct_0(X0))
| ~ l1_struct_0(X0)
| ~ v3_struct_0(X0) ),
inference(superposition,[status(thm)],[c_155,c_1391]) ).
tcf(c_173286,plain,
! [X0: $i] :
( v2_membered(u1_struct_0(X0))
| ~ l1_struct_0(X0)
| ~ v3_struct_0(X0) ),
inference(superposition,[status(thm)],[c_155,c_1390]) ).
tcf(c_173287,plain,
! [X0: $i] :
( v1_membered(u1_struct_0(X0))
| ~ l1_struct_0(X0)
| ~ v3_struct_0(X0) ),
inference(superposition,[status(thm)],[c_155,c_1389]) ).
tcf(c_173288,plain,
! [X0: $i] :
( v1_relat_1(u1_struct_0(X0))
| ~ l1_struct_0(X0)
| ~ v3_struct_0(X0) ),
inference(superposition,[status(thm)],[c_155,c_582]) ).
tcf(c_173289,plain,
! [X0: $i] :
( v1_funct_1(u1_struct_0(X0))
| ~ l1_struct_0(X0)
| ~ v3_struct_0(X0) ),
inference(superposition,[status(thm)],[c_155,c_577]) ).
tcf(c_173372,plain,
! [X0: $i] :
( v4_finsub_1(X0)
| ~ r2_hidden(X0,sK92(X0)) ),
inference(superposition,[status(thm)],[c_167549,c_631]) ).
tcf(c_173374,plain,
! [X0: $i] :
( v4_finsub_1(X0)
| m1_subset_1(sK92(X0),X0) ),
inference(superposition,[status(thm)],[c_167549,c_626]) ).
tcf(c_173378,plain,
( v4_finsub_1(k4_numbers)
| v1_int_1(sK92(k4_numbers)) ),
inference(superposition,[status(thm)],[c_167549,c_2722]) ).
tcf(c_173379,plain,
( v4_finsub_1(k1_numbers)
| v1_xreal_0(sK92(k1_numbers)) ),
inference(superposition,[status(thm)],[c_167549,c_2743]) ).
tcf(c_173394,plain,
( v4_finsub_1(k4_numbers)
| v1_xreal_0(sK92(k4_numbers)) ),
inference(superposition,[status(thm)],[c_173378,c_2716]) ).
tcf(c_173395,plain,
( v4_finsub_1(k4_numbers)
| v1_xcmplx_0(sK92(k4_numbers)) ),
inference(superposition,[status(thm)],[c_173378,c_2715]) ).
tcf(c_173404,plain,
( v4_finsub_1(k1_numbers)
| v1_xcmplx_0(sK92(k1_numbers)) ),
inference(superposition,[status(thm)],[c_173379,c_2750]) ).
tcf(c_173420,plain,
~ r2_hidden(k1_zfmisc_1(np__0),sK92(k1_zfmisc_1(np__0))),
inference(superposition,[status(thm)],[c_167551,c_631]) ).
tcf(c_173422,plain,
m1_subset_1(sK92(k1_zfmisc_1(np__0)),k1_zfmisc_1(np__0)),
inference(superposition,[status(thm)],[c_167551,c_626]) ).
tcf(c_173424,plain,
r1_tarski(sK92(k1_zfmisc_1(np__0)),np__0),
inference(superposition,[status(thm)],[c_167551,c_563]) ).
tcf(c_173425,plain,
~ r2_hidden(np__0,sK92(k1_zfmisc_1(np__0))),
inference(superposition,[status(thm)],[c_173424,c_538]) ).
tcf(c_173426,plain,
sK92(k1_zfmisc_1(np__0)) = np__0,
inference(superposition,[status(thm)],[c_173424,c_564]) ).
tcf(c_173429,plain,
! [X0: $i,X1: $i] : ~ r1_tarski(k2_tarski(k1_zfmisc_1(X0),X1),X0),
inference(superposition,[status(thm)],[c_562,c_167633]) ).
tcf(c_173430,plain,
! [X0: $i] : ~ v1_int_1(k2_tarski(k4_numbers,X0)),
inference(superposition,[status(thm)],[c_2723,c_167633]) ).
tcf(c_173431,plain,
! [X0: $i] : ~ v1_xreal_0(k2_tarski(k1_numbers,X0)),
inference(superposition,[status(thm)],[c_2744,c_167633]) ).
tcf(c_173434,plain,
! [X0: $i,X1: $i] :
( ( X0 = np__0 )
| ~ r2_hidden(k2_relat_1(sK46(X0,X1)),X1) ),
inference(superposition,[status(thm)],[c_51182,c_167633]) ).
tcf(c_173436,plain,
! [X0: $i] : ~ r2_hidden(k1_zfmisc_1(k2_tarski(X0,X0)),np__0),
inference(superposition,[status(thm)],[c_50679,c_167633]) ).
tcf(c_173443,plain,
! [X0: $i,X1: $i,X2: $i] : k3_tarski(k2_tarski(k1_setfam_1(k2_tarski(X0,X1)),k4_xboole_0(X1,X2))) = k4_xboole_0(X1,k4_xboole_0(X2,X0)),
inference(superposition,[status(thm)],[c_2707,c_52807]) ).
tcf(c_173446,plain,
! [X0: $i,X1: $i,X2: $i] : k3_tarski(k2_tarski(k1_setfam_1(k2_tarski(X0,X1)),k1_setfam_1(k2_tarski(X2,X0)))) = k4_xboole_0(X0,k4_xboole_0(k4_xboole_0(X0,X1),X2)),
inference(superposition,[status(thm)],[c_2532,c_52807]) ).
tcf(c_173447,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : k3_tarski(k2_tarski(k2_zfmisc_1(k4_xboole_0(X0,X1),X2),k1_setfam_1(k2_tarski(X3,k2_zfmisc_1(X0,X2))))) = k4_xboole_0(k2_zfmisc_1(X0,X2),k4_xboole_0(k2_zfmisc_1(X1,X2),X3)),
inference(superposition,[status(thm)],[c_1713,c_52807]) ).
tcf(c_173448,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : k3_tarski(k2_tarski(k2_zfmisc_1(X0,k4_xboole_0(X1,X2)),k1_setfam_1(k2_tarski(X3,k2_zfmisc_1(X0,X1))))) = k4_xboole_0(k2_zfmisc_1(X0,X1),k4_xboole_0(k2_zfmisc_1(X0,X2),X3)),
inference(superposition,[status(thm)],[c_1714,c_52807]) ).
tcf(c_173449,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : k3_tarski(k2_tarski(k4_xboole_0(k4_xboole_0(X0,X1),X2),k1_setfam_1(k2_tarski(X3,X0)))) = k4_xboole_0(X0,k4_xboole_0(k3_tarski(k2_tarski(X1,X2)),X3)),
inference(superposition,[status(thm)],[c_484,c_52807]) ).
tcf(c_173450,plain,
! [X0: $i,X1: $i] : k3_tarski(k2_tarski(X0,k1_setfam_1(k2_tarski(X1,X0)))) = k4_xboole_0(X0,k4_xboole_0(np__0,X1)),
inference(superposition,[status(thm)],[c_1740,c_52807]) ).
tcf(c_173451,plain,
! [X0: $i,X1: $i] : k3_tarski(k2_tarski(np__0,k1_setfam_1(k2_tarski(X0,X1)))) = k4_xboole_0(X1,k4_xboole_0(X1,X0)),
inference(superposition,[status(thm)],[c_45740,c_52807]) ).
tcf(c_173452,plain,
! [X0: $i,X1: $i,X2: $i] : k3_tarski(k2_tarski(k4_xboole_0(X0,X1),k1_setfam_1(k2_tarski(X2,k3_tarski(k2_tarski(X0,X1)))))) = k4_xboole_0(k3_tarski(k2_tarski(X0,X1)),k4_xboole_0(X1,X2)),
inference(superposition,[status(thm)],[c_485,c_52807]) ).
tcf(c_173453,plain,
! [X0: $i,X1: $i] : k3_tarski(k2_tarski(np__0,k1_setfam_1(k2_tarski(X0,np__0)))) = k4_xboole_0(np__0,k4_xboole_0(X1,X0)),
inference(superposition,[status(thm)],[c_1739,c_52807]) ).
tcf(c_173454,plain,
! [X0: $i,X1: $i,X2: $i] : k4_xboole_0(k2_tarski(X0,X0),k4_xboole_0(k2_tarski(X1,X0),X2)) = k3_tarski(k2_tarski(np__0,k1_setfam_1(k2_tarski(X2,k2_tarski(X0,X0))))),
inference(superposition,[status(thm)],[c_48462,c_52807]) ).
tcf(c_173455,plain,
! [X0: $i,X1: $i,X2: $i] : k4_xboole_0(k2_tarski(X0,X0),k4_xboole_0(k2_tarski(X0,X1),X2)) = k3_tarski(k2_tarski(np__0,k1_setfam_1(k2_tarski(X2,k2_tarski(X0,X0))))),
inference(superposition,[status(thm)],[c_48463,c_52807]) ).
tcf(c_173456,plain,
! [X0: $i,X1: $i,X2: $i] : k3_tarski(k2_tarski(k4_xboole_0(X0,X1),k1_setfam_1(k2_tarski(X2,X0)))) = k4_xboole_0(X0,k4_xboole_0(k1_setfam_1(k2_tarski(X1,X0)),X2)),
inference(superposition,[status(thm)],[c_48904,c_52807]) ).
tcf(c_173457,plain,
! [X0: $i,X1: $i,X2: $i] : k3_tarski(k2_tarski(k5_xboole_0(X0,X1),k1_setfam_1(k2_tarski(X2,k3_tarski(k2_tarski(X0,X1)))))) = k4_xboole_0(k3_tarski(k2_tarski(X0,X1)),k4_xboole_0(k1_setfam_1(k2_tarski(X1,X0)),X2)),
inference(superposition,[status(thm)],[c_51197,c_52807]) ).
tcf(c_173458,plain,
! [X0: $i,X1: $i] : k3_tarski(k2_tarski(k4_xboole_0(X0,X1),X0)) = k4_xboole_0(X0,k4_xboole_0(X1,X0)),
inference(superposition,[status(thm)],[c_47410,c_52807]) ).
tcf(c_173459,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : k3_tarski(k2_tarski(k4_xboole_0(X0,X1),k4_xboole_0(k1_setfam_1(k2_tarski(X2,X0)),X3))) = k4_xboole_0(X0,k4_xboole_0(X1,k4_xboole_0(X2,X3))),
inference(superposition,[status(thm)],[c_52024,c_52807]) ).
tcf(c_173460,plain,
! [X0: $i,X1: $i,X2: $i] : k3_tarski(k2_tarski(k4_xboole_0(k1_zfmisc_1(X0),X1),k1_zfmisc_1(k1_setfam_1(k2_tarski(X2,X0))))) = k4_xboole_0(k1_zfmisc_1(X0),k4_xboole_0(X1,k1_zfmisc_1(X2))),
inference(superposition,[status(thm)],[c_52026,c_52807]) ).
tcf(c_173461,plain,
! [X0: $i,X1: $i,X2: $i] : k3_tarski(k2_tarski(k4_xboole_0(k5_finsub_1(X0),X1),k5_finsub_1(k1_setfam_1(k2_tarski(X2,X0))))) = k4_xboole_0(k5_finsub_1(X0),k4_xboole_0(X1,k5_finsub_1(X2))),
inference(superposition,[status(thm)],[c_52028,c_52807]) ).
tcf(c_173462,plain,
! [X0: $i,X1: $i] : k3_tarski(k2_tarski(k4_xboole_0(np__0,X0),np__0)) = k4_xboole_0(np__0,k4_xboole_0(X0,X1)),
inference(superposition,[status(thm)],[c_160609,c_52807]) ).
tcf(c_173463,plain,
! [X0: $i,X1: $i] : k3_tarski(k2_tarski(k4_xboole_0(X0,X1),np__0)) = k4_xboole_0(X0,k4_xboole_0(X1,np__0)),
inference(superposition,[status(thm)],[c_160608,c_52807]) ).
tcf(c_173464,plain,
! [X0: $i,X1: $i,X2: $i] : k3_tarski(k2_tarski(k4_xboole_0(X0,X1),k1_setfam_1(k2_tarski(X0,X2)))) = k4_xboole_0(X0,k4_xboole_0(X1,X2)),
inference(superposition,[status(thm)],[c_2707,c_52807]) ).
tcf(c_173466,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2 = np__0 )
| ( k3_tarski(k2_tarski(k4_xboole_0(X0,X1),k1_setfam_1(k2_relat_1(sK46(X2,X0))))) = k4_xboole_0(X0,k4_xboole_0(X1,X0)) ) ),
inference(superposition,[status(thm)],[c_51182,c_52807]) ).
tcf(c_173467,plain,
! [X0: $i] : k3_tarski(k2_tarski(k4_xboole_0(np__0,X0),k1_setfam_1(k1_zfmisc_1(np__0)))) = k4_xboole_0(np__0,k4_xboole_0(X0,np__0)),
inference(superposition,[status(thm)],[c_47417,c_52807]) ).
tcf(c_173468,plain,
! [X0: $i,X1: $i] : k3_tarski(k2_tarski(k4_xboole_0(k2_tarski(X0,X0),X1),k1_setfam_1(k1_zfmisc_1(k2_tarski(X0,X0))))) = k4_xboole_0(k2_tarski(X0,X0),k4_xboole_0(X1,np__0)),
inference(superposition,[status(thm)],[c_50679,c_52807]) ).
tcf(c_173469,plain,
! [X0: $i,X1: $i,X2: $i] : k4_xboole_0(k4_xboole_0(X0,k4_xboole_0(X1,X2)),k1_setfam_1(k2_tarski(k1_setfam_1(k2_tarski(X2,X0)),k4_xboole_0(X0,X1)))) = k5_xboole_0(k4_xboole_0(X0,X1),k1_setfam_1(k2_tarski(X2,X0))),
inference(superposition,[status(thm)],[c_52807,c_51197]) ).
tcf(c_173470,plain,
! [X0: $i,X1: $i,X2: $i] : k5_xboole_0(k4_xboole_0(X0,X1),k5_xboole_0(k1_setfam_1(k2_tarski(X2,X0)),k4_xboole_0(X0,k4_xboole_0(X1,X2)))) = k1_setfam_1(k2_tarski(k1_setfam_1(k2_tarski(X2,X0)),k4_xboole_0(X0,X1))),
inference(superposition,[status(thm)],[c_52807,c_50414]) ).
tcf(c_173471,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_xboole_0(k4_xboole_0(X0,X1))
| ~ v1_xboole_0(k4_xboole_0(X0,k4_xboole_0(X1,X2))) ),
inference(superposition,[status(thm)],[c_52807,c_511]) ).
tcf(c_173472,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_xboole_0(k1_setfam_1(k2_tarski(X2,X0)))
| ~ v1_xboole_0(k4_xboole_0(X0,k4_xboole_0(X1,X2))) ),
inference(superposition,[status(thm)],[c_52807,c_510]) ).
tcf(c_173473,plain,
! [X0: $i,X1: $i,X2: $i] : r1_tarski(k4_xboole_0(X0,X1),k4_xboole_0(X0,k4_xboole_0(X1,X2))),
inference(superposition,[status(thm)],[c_52807,c_497]) ).
tcf(c_173474,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : k3_tarski(k2_tarski(k4_xboole_0(X0,X1),k3_tarski(k2_tarski(k1_setfam_1(k2_tarski(X2,X0)),X3)))) = k3_tarski(k2_tarski(k4_xboole_0(X0,k4_xboole_0(X1,X2)),X3)),
inference(superposition,[status(thm)],[c_52807,c_500]) ).
tcf(c_173475,plain,
! [X0: $i,X1: $i,X2: $i] : k3_tarski(k2_tarski(k4_xboole_0(X0,X1),k4_xboole_0(X0,k4_xboole_0(X1,X2)))) = k4_xboole_0(X0,k4_xboole_0(X1,X2)),
inference(superposition,[status(thm)],[c_52807,c_498]) ).
tcf(c_173476,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k4_xboole_0(X0,X1) = np__0 )
| ( k4_xboole_0(X0,k4_xboole_0(X1,X2)) != np__0 ) ),
inference(superposition,[status(thm)],[c_52807,c_487]) ).
tcf(c_173477,plain,
! [X0: $i,X1: $i,X2: $i] : k4_xboole_0(k4_xboole_0(X0,k4_xboole_0(X1,X2)),k1_setfam_1(k2_tarski(X2,X0))) = k4_xboole_0(k4_xboole_0(X0,X1),k1_setfam_1(k2_tarski(X2,X0))),
inference(superposition,[status(thm)],[c_52807,c_485]) ).
tcf(c_173478,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : k4_xboole_0(k4_xboole_0(X0,k4_xboole_0(X1,X2)),k1_setfam_1(k2_tarski(X3,X1))) = k4_xboole_0(X0,k4_xboole_0(X1,k4_xboole_0(X2,X3))),
inference(superposition,[status(thm)],[c_52807,c_484]) ).
tcf(c_173479,plain,
! [X0: $i,X1: $i,X2: $i] : r1_tarski(k1_setfam_1(k2_tarski(X0,X1)),k4_xboole_0(X1,k4_xboole_0(X2,X0))),
inference(superposition,[status(thm)],[c_52807,c_162055]) ).
tcf(c_173480,plain,
! [X0: $i,X1: $i,X2: $i] : ~ r2_hidden(k4_xboole_0(X0,k4_xboole_0(X1,X2)),k1_setfam_1(k2_tarski(k4_xboole_0(X0,X1),k1_setfam_1(k2_tarski(X2,X0))))),
inference(superposition,[status(thm)],[c_52807,c_167159]) ).
tcf(c_173481,plain,
! [X0: $i,X1: $i,X2: $i] : ~ r2_hidden(k1_zfmisc_1(k4_xboole_0(X0,k4_xboole_0(X1,X2))),k2_tarski(k4_xboole_0(X0,X1),k1_setfam_1(k2_tarski(X2,X0)))),
inference(superposition,[status(thm)],[c_52807,c_167158]) ).
tcf(c_173482,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_ordinal1(k4_xboole_0(X0,k4_xboole_0(X1,X2)))
| ~ v1_xboole_0(k2_tarski(k4_xboole_0(X0,X1),k1_setfam_1(k2_tarski(X2,X0)))) ),
inference(superposition,[status(thm)],[c_52807,c_164233]) ).
tcf(c_173483,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_membered(k4_xboole_0(X0,k4_xboole_0(X1,X2)))
| ~ v1_xboole_0(k2_tarski(k4_xboole_0(X0,X1),k1_setfam_1(k2_tarski(X2,X0)))) ),
inference(superposition,[status(thm)],[c_52807,c_163434]) ).
tcf(c_173484,plain,
! [X0: $i,X1: $i,X2: $i] :
( v2_membered(k4_xboole_0(X0,k4_xboole_0(X1,X2)))
| ~ v1_xboole_0(k2_tarski(k4_xboole_0(X0,X1),k1_setfam_1(k2_tarski(X2,X0)))) ),
inference(superposition,[status(thm)],[c_52807,c_163150]) ).
tcf(c_173485,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_membered(k4_xboole_0(X0,k4_xboole_0(X1,X2)))
| ~ v1_xboole_0(k2_tarski(k4_xboole_0(X0,X1),k1_setfam_1(k2_tarski(X2,X0)))) ),
inference(superposition,[status(thm)],[c_52807,c_162596]) ).
tcf(c_173486,plain,
! [X0: $i,X1: $i,X2: $i] :
( v4_membered(k4_xboole_0(X0,k4_xboole_0(X1,X2)))
| ~ v1_xboole_0(k2_tarski(k4_xboole_0(X0,X1),k1_setfam_1(k2_tarski(X2,X0)))) ),
inference(superposition,[status(thm)],[c_52807,c_162258]) ).
tcf(c_173487,plain,
! [X0: $i,X1: $i,X2: $i] :
( v5_membered(k4_xboole_0(X0,k4_xboole_0(X1,X2)))
| ~ v1_xboole_0(k2_tarski(k4_xboole_0(X0,X1),k1_setfam_1(k2_tarski(X2,X0)))) ),
inference(superposition,[status(thm)],[c_52807,c_161606]) ).
tcf(c_173488,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : k3_tarski(k3_tarski(k2_tarski(k2_tarski(k4_xboole_0(X0,X1),k1_setfam_1(k2_tarski(X2,X0))),X3))) = k3_tarski(k2_tarski(k4_xboole_0(X0,k4_xboole_0(X1,X2)),k3_tarski(X3))),
inference(superposition,[status(thm)],[c_52807,c_2509]) ).
tcf(c_173489,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_ordinal1(k4_xboole_0(X0,k4_xboole_0(X1,X2)))
| ~ v3_ordinal1(k2_tarski(k4_xboole_0(X0,X1),k1_setfam_1(k2_tarski(X2,X0)))) ),
inference(superposition,[status(thm)],[c_52807,c_2504]) ).
tcf(c_173490,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_finset_1(k2_tarski(k4_xboole_0(X0,X1),k1_setfam_1(k2_tarski(X2,X0))))
| ~ v1_finset_1(k4_xboole_0(X0,k4_xboole_0(X1,X2))) ),
inference(superposition,[status(thm)],[c_52807,c_2497]) ).
tcf(c_173491,plain,
! [X0: $i,X1: $i,X2: $i] : r1_tarski(k1_setfam_1(k2_tarski(k4_xboole_0(X0,X1),k1_setfam_1(k2_tarski(X2,X0)))),k4_xboole_0(X0,k4_xboole_0(X1,X2))),
inference(superposition,[status(thm)],[c_52807,c_2542]) ).
tcf(c_173492,plain,
! [X0: $i,X1: $i,X2: $i] : r1_tarski(k2_tarski(k4_xboole_0(X0,X1),k1_setfam_1(k2_tarski(X2,X0))),k1_zfmisc_1(k4_xboole_0(X0,k4_xboole_0(X1,X2)))),
inference(superposition,[status(thm)],[c_52807,c_2506]) ).
tcf(c_173493,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_tarski(X0,k4_xboole_0(X1,k4_xboole_0(X2,X3)))
| ~ r2_hidden(X0,k2_tarski(k4_xboole_0(X1,X2),k1_setfam_1(k2_tarski(X3,X1)))) ),
inference(superposition,[status(thm)],[c_52807,c_2513]) ).
tcf(c_173494,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : k3_tarski(k3_tarski(k2_tarski(X0,k2_tarski(k4_xboole_0(X1,X2),k1_setfam_1(k2_tarski(X3,X1)))))) = k3_tarski(k2_tarski(k3_tarski(X0),k4_xboole_0(X1,k4_xboole_0(X2,X3)))),
inference(superposition,[status(thm)],[c_52807,c_2509]) ).
tcf(c_173495,plain,
! [X0: $i,X1: $i] : k4_xboole_0(X0,k4_xboole_0(X1,k4_xboole_0(X0,X1))) = k4_xboole_0(X0,X1),
inference(superposition,[status(thm)],[c_52807,c_48096]) ).
tcf(c_173500,plain,
! [X0: $i,X1: $i] : k4_xboole_0(np__0,k4_xboole_0(X0,X1)) = k3_tarski(k1_zfmisc_1(np__0)),
inference(light_normalisation,[status(thm)],[c_173462,c_1739,c_47417]) ).
tcf(c_173502,plain,
! [X0: $i,X1: $i] : k4_xboole_0(X0,k4_xboole_0(np__0,X1)) = X0,
inference(light_normalisation,[status(thm)],[c_173450,c_167297]) ).
tcf(c_173511,plain,
! [X0: $i,X1: $i] : k3_tarski(k2_tarski(k4_xboole_0(k2_tarski(X0,X0),X1),np__0)) = k4_xboole_0(k2_tarski(X0,X0),k4_xboole_0(X1,np__0)),
inference(light_normalisation,[status(thm)],[c_173468,c_170472]) ).
tcf(c_173557,plain,
( m1_subset_1(np__0,k1_zfmisc_1(u1_struct_0(sK45)))
| ~ l1_struct_0(sK45) ),
inference(superposition,[status(thm)],[c_166749,c_323]) ).
tcf(c_173558,plain,
( m1_subset_1(np__0,k1_zfmisc_1(u1_struct_0(sK49)))
| ~ l1_struct_0(sK49) ),
inference(superposition,[status(thm)],[c_166750,c_323]) ).
tcf(c_173559,plain,
( m1_subset_1(np__0,k1_zfmisc_1(u1_struct_0(sK51)))
| ~ l1_struct_0(sK51) ),
inference(superposition,[status(thm)],[c_166751,c_323]) ).
tcf(c_173560,plain,
( m1_subset_1(np__0,k1_zfmisc_1(u1_struct_0(sK298)))
| ~ l1_struct_0(sK298) ),
inference(superposition,[status(thm)],[c_166752,c_323]) ).
tcf(c_173561,plain,
( m1_subset_1(np__0,k1_zfmisc_1(u1_struct_0(sK299)))
| ~ l1_struct_0(sK299) ),
inference(superposition,[status(thm)],[c_166753,c_323]) ).
tcf(c_173562,plain,
( m1_subset_1(np__0,k1_zfmisc_1(u1_struct_0(sK174)))
| ~ l1_struct_0(sK174) ),
inference(superposition,[status(thm)],[c_166754,c_323]) ).
tcf(c_173563,plain,
( m1_subset_1(np__0,k1_zfmisc_1(u1_struct_0(sK458)))
| ~ l1_struct_0(sK458) ),
inference(superposition,[status(thm)],[c_166755,c_323]) ).
tcf(c_173564,plain,
( m1_subset_1(np__0,k1_zfmisc_1(u1_struct_0(sK462)))
| ~ l1_struct_0(sK462) ),
inference(superposition,[status(thm)],[c_166756,c_323]) ).
tcf(c_173565,plain,
( m1_subset_1(np__0,k1_zfmisc_1(u1_struct_0(sK463)))
| ~ l1_struct_0(sK463) ),
inference(superposition,[status(thm)],[c_166757,c_323]) ).
tcf(c_173566,plain,
( m1_subset_1(np__0,k1_zfmisc_1(u1_struct_0(sK41)))
| ~ l1_struct_0(sK41) ),
inference(superposition,[status(thm)],[c_166758,c_323]) ).
tcf(c_173567,plain,
( m1_subset_1(np__0,k1_zfmisc_1(u1_struct_0(sK277)))
| ~ l1_struct_0(sK277) ),
inference(superposition,[status(thm)],[c_166759,c_323]) ).
tcf(c_173568,plain,
( m1_subset_1(np__0,k1_zfmisc_1(u1_struct_0(sK278)))
| ~ l1_struct_0(sK278) ),
inference(superposition,[status(thm)],[c_166760,c_323]) ).
tcf(c_173569,plain,
( m1_subset_1(np__0,k1_zfmisc_1(u1_struct_0(sK39)))
| ~ l1_struct_0(sK39) ),
inference(superposition,[status(thm)],[c_166761,c_323]) ).
tcf(c_173570,plain,
( m1_subset_1(np__0,k1_zfmisc_1(u1_struct_0(sK181)))
| ~ l1_struct_0(sK181) ),
inference(superposition,[status(thm)],[c_166762,c_323]) ).
tcf(c_173571,plain,
( m1_subset_1(np__0,k1_zfmisc_1(u1_struct_0(sK182)))
| ~ l1_struct_0(sK182) ),
inference(superposition,[status(thm)],[c_166763,c_323]) ).
tcf(c_173572,plain,
( m1_subset_1(np__0,k1_zfmisc_1(u1_struct_0(sK183)))
| ~ l1_struct_0(sK183) ),
inference(superposition,[status(thm)],[c_166764,c_323]) ).
tcf(c_173573,plain,
( m1_subset_1(np__0,k1_zfmisc_1(u1_struct_0(sK191)))
| ~ l1_struct_0(sK191) ),
inference(superposition,[status(thm)],[c_166765,c_323]) ).
tcf(c_173574,plain,
( m1_subset_1(np__0,k1_zfmisc_1(u1_struct_0(sK40)))
| ~ l1_struct_0(sK40) ),
inference(superposition,[status(thm)],[c_166766,c_323]) ).
tcf(c_173575,plain,
( m1_subset_1(np__0,k1_zfmisc_1(u1_struct_0(sK192)))
| ~ l1_struct_0(sK192) ),
inference(superposition,[status(thm)],[c_166767,c_323]) ).
tcf(c_173576,plain,
( m1_subset_1(np__0,k1_zfmisc_1(u1_struct_0(sK193)))
| ~ l1_struct_0(sK193) ),
inference(superposition,[status(thm)],[c_166768,c_323]) ).
tcf(c_173577,plain,
( m1_subset_1(np__0,k1_zfmisc_1(u1_struct_0(sK194)))
| ~ l1_struct_0(sK194) ),
inference(superposition,[status(thm)],[c_166769,c_323]) ).
tcf(c_173578,plain,
! [X0: $i] :
( r1_tarski(k1_pre_topc(X0),u1_struct_0(X0))
| ~ l1_struct_0(X0) ),
inference(superposition,[status(thm)],[c_323,c_541]) ).
tcf(c_173586,plain,
! [X0: $i] :
( r1_tarski(k2_pre_topc(X0),u1_struct_0(X0))
| ~ l1_struct_0(X0) ),
inference(superposition,[status(thm)],[c_341,c_541]) ).
tcf(c_173590,plain,
! [X0: $i] : ~ v1_int_1(k2_tarski(X0,k4_numbers)),
inference(superposition,[status(thm)],[c_2707,c_173430]) ).
tcf(c_173593,plain,
! [X0: $i] : ~ v1_xreal_0(k2_tarski(X0,k1_numbers)),
inference(superposition,[status(thm)],[c_2707,c_173431]) ).
tcf(c_173600,plain,
! [X0: $i,X1: $i] : ~ r1_tarski(k2_tarski(X0,k1_zfmisc_1(X1)),X1),
inference(superposition,[status(thm)],[c_562,c_167634]) ).
tcf(c_173607,plain,
! [X0: $i] : ~ r2_hidden(k1_zfmisc_1(k2_tarski(X0,X0)),k2_tarski(X0,X0)),
inference(superposition,[status(thm)],[c_50679,c_167634]) ).
tcf(c_173614,plain,
( v1_xboole_0(sK52(k1_zfmisc_1(np__0)))
| ~ v4_finsub_1(sK52(k1_zfmisc_1(np__0))) ),
inference(superposition,[status(thm)],[c_3600,c_168986]) ).
tcf(c_173619,plain,
! [X0: $i] : sP24(k5_relat_1(np__0,k6_partfun1(X0))),
inference(superposition,[status(thm)],[c_2188,c_169425]) ).
tcf(c_173620,plain,
! [X0: $i,X1: $i,X2: $i] : sP24(k5_relat_1(k5_relat_1(k6_partfun1(X0),k6_partfun1(X1)),k6_partfun1(X2))),
inference(superposition,[status(thm)],[c_49266,c_169425]) ).
tcf(c_173621,plain,
! [X0: $i] : sP24(k5_relat_1(k6_partfun1(X0),np__0)),
inference(superposition,[status(thm)],[c_2188,c_169425]) ).
tcf(c_173622,plain,
! [X0: $i,X1: $i,X2: $i] : sP24(k5_relat_1(k6_partfun1(X0),k5_relat_1(k6_partfun1(X1),k6_partfun1(X2)))),
inference(superposition,[status(thm)],[c_49266,c_169425]) ).
tcf(c_173631,plain,
! [X0: $i,X1: $i,X2: $i] : k3_tarski(k2_tarski(k4_xboole_0(X0,X1),k4_xboole_0(X0,X2))) = k4_xboole_0(X0,k1_setfam_1(k2_tarski(X1,X2))),
inference(superposition,[status(thm)],[c_2707,c_52809]) ).
tcf(c_173633,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = np__0 )
| ( k3_tarski(k2_relat_1(sK46(X0,k4_xboole_0(X1,X2)))) = k4_xboole_0(X1,k1_setfam_1(k2_tarski(X2,X2))) ) ),
inference(superposition,[status(thm)],[c_51182,c_52809]) ).
tcf(c_173634,plain,
! [X0: $i,X1: $i,X2: $i] : k3_tarski(k2_tarski(k1_setfam_1(k2_tarski(X0,X1)),k4_xboole_0(X1,X2))) = k4_xboole_0(X1,k1_setfam_1(k2_tarski(X2,k4_xboole_0(X1,X0)))),
inference(superposition,[status(thm)],[c_48896,c_52809]) ).
tcf(c_173635,plain,
! [X0: $i,X1: $i,X2: $i] : k3_tarski(k2_tarski(k1_setfam_1(k2_tarski(X0,X1)),k4_xboole_0(X0,X2))) = k4_xboole_0(X0,k1_setfam_1(k2_tarski(X2,k4_xboole_0(X0,X1)))),
inference(superposition,[status(thm)],[c_2532,c_52809]) ).
tcf(c_173636,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : k3_tarski(k2_tarski(k2_zfmisc_1(k4_xboole_0(X0,X1),X2),k4_xboole_0(k2_zfmisc_1(X0,X2),X3))) = k4_xboole_0(k2_zfmisc_1(X0,X2),k1_setfam_1(k2_tarski(X3,k2_zfmisc_1(X1,X2)))),
inference(superposition,[status(thm)],[c_1713,c_52809]) ).
tcf(c_173637,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : k3_tarski(k2_tarski(k2_zfmisc_1(X0,k4_xboole_0(X1,X2)),k4_xboole_0(k2_zfmisc_1(X0,X1),X3))) = k4_xboole_0(k2_zfmisc_1(X0,X1),k1_setfam_1(k2_tarski(X3,k2_zfmisc_1(X0,X2)))),
inference(superposition,[status(thm)],[c_1714,c_52809]) ).
tcf(c_173638,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : k3_tarski(k2_tarski(k4_xboole_0(k4_xboole_0(X0,X1),X2),k4_xboole_0(X0,X3))) = k4_xboole_0(X0,k1_setfam_1(k2_tarski(X3,k3_tarski(k2_tarski(X1,X2))))),
inference(superposition,[status(thm)],[c_484,c_52809]) ).
tcf(c_173639,plain,
! [X0: $i,X1: $i] : k3_tarski(k2_tarski(X0,k4_xboole_0(X0,X1))) = k4_xboole_0(X0,k1_setfam_1(k2_tarski(X1,np__0))),
inference(superposition,[status(thm)],[c_1740,c_52809]) ).
tcf(c_173640,plain,
! [X0: $i,X1: $i] : k4_xboole_0(X0,k1_setfam_1(k2_tarski(X1,X0))) = k3_tarski(k2_tarski(np__0,k4_xboole_0(X0,X1))),
inference(superposition,[status(thm)],[c_45740,c_52809]) ).
tcf(c_173641,plain,
! [X0: $i,X1: $i,X2: $i] : k3_tarski(k2_tarski(k4_xboole_0(X0,X1),k4_xboole_0(k3_tarski(k2_tarski(X0,X1)),X2))) = k4_xboole_0(k3_tarski(k2_tarski(X0,X1)),k1_setfam_1(k2_tarski(X2,X1))),
inference(superposition,[status(thm)],[c_485,c_52809]) ).
tcf(c_173642,plain,
! [X0: $i,X1: $i] : k4_xboole_0(np__0,k1_setfam_1(k2_tarski(X0,X1))) = k3_tarski(k2_tarski(np__0,k4_xboole_0(np__0,X0))),
inference(superposition,[status(thm)],[c_1739,c_52809]) ).
tcf(c_173643,plain,
! [X0: $i,X1: $i,X2: $i] : k4_xboole_0(k2_tarski(X0,X0),k1_setfam_1(k2_tarski(X1,k2_tarski(X2,X0)))) = k3_tarski(k2_tarski(np__0,k4_xboole_0(k2_tarski(X0,X0),X1))),
inference(superposition,[status(thm)],[c_48462,c_52809]) ).
tcf(c_173644,plain,
! [X0: $i,X1: $i,X2: $i] : k4_xboole_0(k2_tarski(X0,X0),k1_setfam_1(k2_tarski(X1,k2_tarski(X0,X2)))) = k3_tarski(k2_tarski(np__0,k4_xboole_0(k2_tarski(X0,X0),X1))),
inference(superposition,[status(thm)],[c_48463,c_52809]) ).
tcf(c_173645,plain,
! [X0: $i,X1: $i,X2: $i] : k4_xboole_0(X0,k1_setfam_1(k2_tarski(X1,k1_setfam_1(k2_tarski(X2,X0))))) = k3_tarski(k2_tarski(k4_xboole_0(X0,X2),k4_xboole_0(X0,X1))),
inference(superposition,[status(thm)],[c_48904,c_52809]) ).
tcf(c_173646,plain,
! [X0: $i,X1: $i,X2: $i] : k4_xboole_0(k3_tarski(k2_tarski(X0,X1)),k1_setfam_1(k2_tarski(X2,k1_setfam_1(k2_tarski(X1,X0))))) = k3_tarski(k2_tarski(k5_xboole_0(X0,X1),k4_xboole_0(k3_tarski(k2_tarski(X0,X1)),X2))),
inference(superposition,[status(thm)],[c_51197,c_52809]) ).
tcf(c_173647,plain,
! [X0: $i,X1: $i,X2: $i] : k3_tarski(k2_tarski(k4_xboole_0(X0,X1),k1_setfam_1(k2_tarski(X2,X0)))) = k4_xboole_0(X0,k1_setfam_1(k2_tarski(k4_xboole_0(X0,X2),X1))),
inference(superposition,[status(thm)],[c_48896,c_52809]) ).
tcf(c_173648,plain,
! [X0: $i,X1: $i,X2: $i] : k3_tarski(k2_tarski(k4_xboole_0(X0,X1),k1_setfam_1(k2_tarski(X0,X2)))) = k4_xboole_0(X0,k1_setfam_1(k2_tarski(k4_xboole_0(X0,X2),X1))),
inference(superposition,[status(thm)],[c_2532,c_52809]) ).
tcf(c_173649,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : k3_tarski(k2_tarski(k4_xboole_0(k2_zfmisc_1(X0,X1),X2),k2_zfmisc_1(k4_xboole_0(X0,X3),X1))) = k4_xboole_0(k2_zfmisc_1(X0,X1),k1_setfam_1(k2_tarski(k2_zfmisc_1(X3,X1),X2))),
inference(superposition,[status(thm)],[c_1713,c_52809]) ).
tcf(c_173650,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : k3_tarski(k2_tarski(k4_xboole_0(k2_zfmisc_1(X0,X1),X2),k2_zfmisc_1(X0,k4_xboole_0(X1,X3)))) = k4_xboole_0(k2_zfmisc_1(X0,X1),k1_setfam_1(k2_tarski(k2_zfmisc_1(X0,X3),X2))),
inference(superposition,[status(thm)],[c_1714,c_52809]) ).
tcf(c_173651,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : k3_tarski(k2_tarski(k4_xboole_0(X0,X1),k4_xboole_0(k4_xboole_0(X0,X2),X3))) = k4_xboole_0(X0,k1_setfam_1(k2_tarski(k3_tarski(k2_tarski(X2,X3)),X1))),
inference(superposition,[status(thm)],[c_484,c_52809]) ).
tcf(c_173652,plain,
! [X0: $i,X1: $i] : k3_tarski(k2_tarski(k4_xboole_0(X0,X1),X0)) = k4_xboole_0(X0,k1_setfam_1(k2_tarski(np__0,X1))),
inference(superposition,[status(thm)],[c_1740,c_52809]) ).
tcf(c_173653,plain,
! [X0: $i,X1: $i] : k4_xboole_0(X0,k1_setfam_1(k2_tarski(X0,X1))) = k3_tarski(k2_tarski(k4_xboole_0(X0,X1),np__0)),
inference(superposition,[status(thm)],[c_45740,c_52809]) ).
tcf(c_173654,plain,
! [X0: $i,X1: $i,X2: $i] : k3_tarski(k2_tarski(k4_xboole_0(k3_tarski(k2_tarski(X0,X1)),X2),k4_xboole_0(X0,X1))) = k4_xboole_0(k3_tarski(k2_tarski(X0,X1)),k1_setfam_1(k2_tarski(X1,X2))),
inference(superposition,[status(thm)],[c_485,c_52809]) ).
tcf(c_173655,plain,
! [X0: $i,X1: $i] : k4_xboole_0(np__0,k1_setfam_1(k2_tarski(X0,X1))) = k3_tarski(k2_tarski(k4_xboole_0(np__0,X1),np__0)),
inference(superposition,[status(thm)],[c_1739,c_52809]) ).
tcf(c_173656,plain,
! [X0: $i,X1: $i,X2: $i] : k4_xboole_0(k2_tarski(X0,X0),k1_setfam_1(k2_tarski(k2_tarski(X1,X0),X2))) = k3_tarski(k2_tarski(k4_xboole_0(k2_tarski(X0,X0),X2),np__0)),
inference(superposition,[status(thm)],[c_48462,c_52809]) ).
tcf(c_173657,plain,
! [X0: $i,X1: $i,X2: $i] : k4_xboole_0(k2_tarski(X0,X0),k1_setfam_1(k2_tarski(k2_tarski(X0,X1),X2))) = k3_tarski(k2_tarski(k4_xboole_0(k2_tarski(X0,X0),X2),np__0)),
inference(superposition,[status(thm)],[c_48463,c_52809]) ).
tcf(c_173658,plain,
! [X0: $i,X1: $i,X2: $i] : k4_xboole_0(X0,k1_setfam_1(k2_tarski(k1_setfam_1(k2_tarski(X1,X0)),X2))) = k3_tarski(k2_tarski(k4_xboole_0(X0,X2),k4_xboole_0(X0,X1))),
inference(superposition,[status(thm)],[c_48904,c_52809]) ).
tcf(c_173659,plain,
! [X0: $i,X1: $i,X2: $i] : k4_xboole_0(k3_tarski(k2_tarski(X0,X1)),k1_setfam_1(k2_tarski(k1_setfam_1(k2_tarski(X1,X0)),X2))) = k3_tarski(k2_tarski(k4_xboole_0(k3_tarski(k2_tarski(X0,X1)),X2),k5_xboole_0(X0,X1))),
inference(superposition,[status(thm)],[c_51197,c_52809]) ).
tcf(c_173660,plain,
! [X0: $i,X1: $i,X2: $i] : k4_xboole_0(k4_xboole_0(X0,k1_setfam_1(k2_tarski(X1,X2))),k1_setfam_1(k2_tarski(k4_xboole_0(X0,X1),k4_xboole_0(X0,X2)))) = k5_xboole_0(k4_xboole_0(X0,X2),k4_xboole_0(X0,X1)),
inference(superposition,[status(thm)],[c_52809,c_51197]) ).
tcf(c_173661,plain,
! [X0: $i,X1: $i,X2: $i] : k5_xboole_0(k4_xboole_0(X0,X1),k5_xboole_0(k4_xboole_0(X0,X2),k4_xboole_0(X0,k1_setfam_1(k2_tarski(X2,X1))))) = k1_setfam_1(k2_tarski(k4_xboole_0(X0,X2),k4_xboole_0(X0,X1))),
inference(superposition,[status(thm)],[c_52809,c_50414]) ).
tcf(c_173662,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_xboole_0(k4_xboole_0(X0,X2))
| ~ v1_xboole_0(k4_xboole_0(X0,k1_setfam_1(k2_tarski(X1,X2)))) ),
inference(superposition,[status(thm)],[c_52809,c_511]) ).
tcf(c_173663,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_xboole_0(k4_xboole_0(X0,X1))
| ~ v1_xboole_0(k4_xboole_0(X0,k1_setfam_1(k2_tarski(X1,X2)))) ),
inference(superposition,[status(thm)],[c_52809,c_510]) ).
tcf(c_173664,plain,
! [X0: $i,X1: $i,X2: $i] : r1_tarski(k4_xboole_0(X0,X1),k4_xboole_0(X0,k1_setfam_1(k2_tarski(X2,X1)))),
inference(superposition,[status(thm)],[c_52809,c_497]) ).
tcf(c_173665,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : k3_tarski(k2_tarski(k4_xboole_0(X0,X1),k3_tarski(k2_tarski(k4_xboole_0(X0,X2),X3)))) = k3_tarski(k2_tarski(k4_xboole_0(X0,k1_setfam_1(k2_tarski(X2,X1))),X3)),
inference(superposition,[status(thm)],[c_52809,c_500]) ).
tcf(c_173666,plain,
! [X0: $i,X1: $i,X2: $i] : k3_tarski(k2_tarski(k4_xboole_0(X0,X1),k4_xboole_0(X0,k1_setfam_1(k2_tarski(X2,X1))))) = k4_xboole_0(X0,k1_setfam_1(k2_tarski(X2,X1))),
inference(superposition,[status(thm)],[c_52809,c_498]) ).
tcf(c_173667,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k4_xboole_0(X0,X2) = np__0 )
| ( k4_xboole_0(X0,k1_setfam_1(k2_tarski(X1,X2))) != np__0 ) ),
inference(superposition,[status(thm)],[c_52809,c_487]) ).
tcf(c_173668,plain,
! [X0: $i,X1: $i,X2: $i] : k4_xboole_0(k4_xboole_0(X0,k1_setfam_1(k2_tarski(X1,X2))),k4_xboole_0(X0,X1)) = k4_xboole_0(k4_xboole_0(X0,X2),k4_xboole_0(X0,X1)),
inference(superposition,[status(thm)],[c_52809,c_485]) ).
tcf(c_173669,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : k4_xboole_0(k4_xboole_0(X0,k4_xboole_0(X1,X2)),k4_xboole_0(X1,X3)) = k4_xboole_0(X0,k4_xboole_0(X1,k1_setfam_1(k2_tarski(X3,X2)))),
inference(superposition,[status(thm)],[c_52809,c_484]) ).
tcf(c_173671,plain,
! [X0: $i,X1: $i] : k4_xboole_0(X0,k1_setfam_1(k2_tarski(k4_xboole_0(X0,X1),X1))) = k3_tarski(k2_tarski(k4_xboole_0(X0,X1),X0)),
inference(superposition,[status(thm)],[c_52809,c_486]) ).
tcf(c_173672,plain,
! [X0: $i,X1: $i] : k4_xboole_0(k3_tarski(k2_tarski(X0,X0)),X1) = k4_xboole_0(X0,k1_setfam_1(k2_tarski(X1,X1))),
inference(superposition,[status(thm)],[c_52809,c_483]) ).
tcf(c_173673,plain,
! [X0: $i,X1: $i] : k4_xboole_0(X0,k1_setfam_1(k2_tarski(X1,X1))) = k4_xboole_0(X0,X1),
inference(superposition,[status(thm)],[c_52809,c_502]) ).
tcf(c_173674,plain,
! [X0: $i,X1: $i,X2: $i] : r1_tarski(k4_xboole_0(X0,X1),k4_xboole_0(X0,k1_setfam_1(k2_tarski(X1,X2)))),
inference(superposition,[status(thm)],[c_52809,c_162055]) ).
tcf(c_173675,plain,
! [X0: $i,X1: $i,X2: $i] : ~ r2_hidden(k4_xboole_0(X0,k1_setfam_1(k2_tarski(X1,X2))),k1_setfam_1(k2_tarski(k4_xboole_0(X0,X2),k4_xboole_0(X0,X1)))),
inference(superposition,[status(thm)],[c_52809,c_167159]) ).
tcf(c_173676,plain,
! [X0: $i,X1: $i,X2: $i] : ~ r2_hidden(k1_zfmisc_1(k4_xboole_0(X0,k1_setfam_1(k2_tarski(X1,X2)))),k2_tarski(k4_xboole_0(X0,X2),k4_xboole_0(X0,X1))),
inference(superposition,[status(thm)],[c_52809,c_167158]) ).
tcf(c_173677,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_ordinal1(k4_xboole_0(X0,k1_setfam_1(k2_tarski(X2,X1))))
| ~ v1_xboole_0(k2_tarski(k4_xboole_0(X0,X1),k4_xboole_0(X0,X2))) ),
inference(superposition,[status(thm)],[c_52809,c_164233]) ).
tcf(c_173678,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_membered(k4_xboole_0(X0,k1_setfam_1(k2_tarski(X2,X1))))
| ~ v1_xboole_0(k2_tarski(k4_xboole_0(X0,X1),k4_xboole_0(X0,X2))) ),
inference(superposition,[status(thm)],[c_52809,c_163434]) ).
tcf(c_173679,plain,
! [X0: $i,X1: $i,X2: $i] :
( v2_membered(k4_xboole_0(X0,k1_setfam_1(k2_tarski(X2,X1))))
| ~ v1_xboole_0(k2_tarski(k4_xboole_0(X0,X1),k4_xboole_0(X0,X2))) ),
inference(superposition,[status(thm)],[c_52809,c_163150]) ).
tcf(c_173680,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_membered(k4_xboole_0(X0,k1_setfam_1(k2_tarski(X2,X1))))
| ~ v1_xboole_0(k2_tarski(k4_xboole_0(X0,X1),k4_xboole_0(X0,X2))) ),
inference(superposition,[status(thm)],[c_52809,c_162596]) ).
tcf(c_173681,plain,
! [X0: $i,X1: $i,X2: $i] :
( v4_membered(k4_xboole_0(X0,k1_setfam_1(k2_tarski(X2,X1))))
| ~ v1_xboole_0(k2_tarski(k4_xboole_0(X0,X1),k4_xboole_0(X0,X2))) ),
inference(superposition,[status(thm)],[c_52809,c_162258]) ).
tcf(c_173682,plain,
! [X0: $i,X1: $i,X2: $i] :
( v5_membered(k4_xboole_0(X0,k1_setfam_1(k2_tarski(X2,X1))))
| ~ v1_xboole_0(k2_tarski(k4_xboole_0(X0,X1),k4_xboole_0(X0,X2))) ),
inference(superposition,[status(thm)],[c_52809,c_161606]) ).
tcf(c_173683,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : k3_tarski(k3_tarski(k2_tarski(k2_tarski(k4_xboole_0(X0,X1),k4_xboole_0(X0,X2)),X3))) = k3_tarski(k2_tarski(k4_xboole_0(X0,k1_setfam_1(k2_tarski(X2,X1))),k3_tarski(X3))),
inference(superposition,[status(thm)],[c_52809,c_2509]) ).
tcf(c_173684,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_ordinal1(k4_xboole_0(X0,k1_setfam_1(k2_tarski(X2,X1))))
| ~ v3_ordinal1(k2_tarski(k4_xboole_0(X0,X1),k4_xboole_0(X0,X2))) ),
inference(superposition,[status(thm)],[c_52809,c_2504]) ).
tcf(c_173685,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_finset_1(k2_tarski(k4_xboole_0(X0,X2),k4_xboole_0(X0,X1)))
| ~ v1_finset_1(k4_xboole_0(X0,k1_setfam_1(k2_tarski(X1,X2)))) ),
inference(superposition,[status(thm)],[c_52809,c_2497]) ).
tcf(c_173686,plain,
! [X0: $i,X1: $i,X2: $i] : r1_tarski(k1_setfam_1(k2_tarski(k4_xboole_0(X0,X1),k4_xboole_0(X0,X2))),k4_xboole_0(X0,k1_setfam_1(k2_tarski(X2,X1)))),
inference(superposition,[status(thm)],[c_52809,c_2542]) ).
tcf(c_173687,plain,
! [X0: $i,X1: $i,X2: $i] : r1_tarski(k2_tarski(k4_xboole_0(X0,X1),k4_xboole_0(X0,X2)),k1_zfmisc_1(k4_xboole_0(X0,k1_setfam_1(k2_tarski(X2,X1))))),
inference(superposition,[status(thm)],[c_52809,c_2506]) ).
tcf(c_173688,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_tarski(X0,k4_xboole_0(X1,k1_setfam_1(k2_tarski(X3,X2))))
| ~ r2_hidden(X0,k2_tarski(k4_xboole_0(X1,X2),k4_xboole_0(X1,X3))) ),
inference(superposition,[status(thm)],[c_52809,c_2513]) ).
tcf(c_173689,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : k3_tarski(k3_tarski(k2_tarski(X0,k2_tarski(k4_xboole_0(X1,X2),k4_xboole_0(X1,X3))))) = k3_tarski(k2_tarski(k3_tarski(X0),k4_xboole_0(X1,k1_setfam_1(k2_tarski(X3,X2))))),
inference(superposition,[status(thm)],[c_52809,c_2509]) ).
tcf(c_173695,plain,
! [X0: $i,X1: $i] : k4_xboole_0(X0,k4_xboole_0(X1,np__0)) = k4_xboole_0(X0,X1),
inference(light_normalisation,[status(thm)],[c_173653,c_169003,c_173463]) ).
tcf(c_173696,plain,
! [X0: $i,X1: $i] : k4_xboole_0(np__0,k1_setfam_1(k2_tarski(X0,X1))) = k3_tarski(k1_zfmisc_1(np__0)),
inference(light_normalisation,[status(thm)],[c_173642,c_1739,c_47417]) ).
tcf(c_173697,plain,
! [X0: $i,X1: $i] : k3_tarski(k2_tarski(np__0,k4_xboole_0(X0,X1))) = k4_xboole_0(X0,X1),
inference(light_normalisation,[status(thm)],[c_173640,c_48904,c_160224]) ).
tcf(c_173700,plain,
! [X0: $i,X1: $i] : k4_xboole_0(X0,k1_setfam_1(k2_tarski(k4_xboole_0(X0,X1),X1))) = k4_xboole_0(X0,k4_xboole_0(X1,X0)),
inference(light_normalisation,[status(thm)],[c_173671,c_173458]) ).
tcf(c_173705,plain,
! [X0: $i,X1: $i,X2: $i] : k4_xboole_0(X0,k4_xboole_0(k1_setfam_1(k2_tarski(X0,X1)),X2)) = k4_xboole_0(X0,k4_xboole_0(X1,X2)),
inference(light_normalisation,[status(thm)],[c_173648,c_52024,c_173464]) ).
tcf(c_173752,plain,
u1_struct_0(sK45) = k2_pre_topc(sK45),
inference(superposition,[status(thm)],[c_67,c_354]) ).
tcf(c_173753,plain,
u1_struct_0(sK49) = k2_pre_topc(sK49),
inference(superposition,[status(thm)],[c_153,c_354]) ).
tcf(c_173754,plain,
u1_struct_0(sK51) = k2_pre_topc(sK51),
inference(superposition,[status(thm)],[c_159,c_354]) ).
tcf(c_173755,plain,
u1_struct_0(sK298) = k2_pre_topc(sK298),
inference(superposition,[status(thm)],[c_159582,c_354]) ).
tcf(c_173756,plain,
u1_struct_0(sK299) = k2_pre_topc(sK299),
inference(superposition,[status(thm)],[c_159588,c_354]) ).
tcf(c_173757,plain,
u1_struct_0(sK174) = k2_pre_topc(sK174),
inference(superposition,[status(thm)],[c_159260,c_354]) ).
tcf(c_173758,plain,
u1_struct_0(sK458) = k2_pre_topc(sK458),
inference(superposition,[status(thm)],[c_159261,c_354]) ).
tcf(c_173759,plain,
u1_struct_0(sK462) = k2_pre_topc(sK462),
inference(superposition,[status(thm)],[c_159262,c_354]) ).
tcf(c_173760,plain,
u1_struct_0(sK463) = k2_pre_topc(sK463),
inference(superposition,[status(thm)],[c_159263,c_354]) ).
tcf(c_173761,plain,
u1_struct_0(sK41) = k2_pre_topc(sK41),
inference(superposition,[status(thm)],[c_159268,c_354]) ).
tcf(c_173762,plain,
u1_struct_0(sK277) = k2_pre_topc(sK277),
inference(superposition,[status(thm)],[c_159269,c_354]) ).
tcf(c_173763,plain,
u1_struct_0(sK278) = k2_pre_topc(sK278),
inference(superposition,[status(thm)],[c_159270,c_354]) ).
tcf(c_173764,plain,
u1_struct_0(sK39) = k2_pre_topc(sK39),
inference(superposition,[status(thm)],[c_159583,c_354]) ).
tcf(c_173765,plain,
u1_struct_0(sK181) = k2_pre_topc(sK181),
inference(superposition,[status(thm)],[c_159589,c_354]) ).
tcf(c_173766,plain,
u1_struct_0(sK182) = k2_pre_topc(sK182),
inference(superposition,[status(thm)],[c_159590,c_354]) ).
tcf(c_173767,plain,
u1_struct_0(sK183) = k2_pre_topc(sK183),
inference(superposition,[status(thm)],[c_159591,c_354]) ).
tcf(c_173768,plain,
u1_struct_0(sK191) = k2_pre_topc(sK191),
inference(superposition,[status(thm)],[c_159592,c_354]) ).
tcf(c_173769,plain,
u1_struct_0(sK40) = k2_pre_topc(sK40),
inference(superposition,[status(thm)],[c_159594,c_354]) ).
tcf(c_173770,plain,
u1_struct_0(sK192) = k2_pre_topc(sK192),
inference(superposition,[status(thm)],[c_159615,c_354]) ).
tcf(c_173771,plain,
u1_struct_0(sK193) = k2_pre_topc(sK193),
inference(superposition,[status(thm)],[c_159616,c_354]) ).
tcf(c_173772,plain,
u1_struct_0(sK194) = k2_pre_topc(sK194),
inference(superposition,[status(thm)],[c_159617,c_354]) ).
tcf(c_173773,plain,
! [X0: $i] :
( ( u1_struct_0(k1_lattice2(X0)) = k2_pre_topc(k1_lattice2(X0)) )
| ~ l3_lattices(X0) ),
inference(superposition,[status(thm)],[c_162362,c_354]) ).
tcf(c_173803,plain,
! [X0: $i] : v8_relat_2(k5_relat_1(np__0,k6_partfun1(X0))),
inference(superposition,[status(thm)],[c_2188,c_169447]) ).
tcf(c_173804,plain,
! [X0: $i,X1: $i,X2: $i] : v8_relat_2(k5_relat_1(k5_relat_1(k6_partfun1(X0),k6_partfun1(X1)),k6_partfun1(X2))),
inference(superposition,[status(thm)],[c_49266,c_169447]) ).
tcf(c_173805,plain,
! [X0: $i] : v8_relat_2(k5_relat_1(k6_partfun1(X0),np__0)),
inference(superposition,[status(thm)],[c_2188,c_169447]) ).
tcf(c_173806,plain,
! [X0: $i,X1: $i,X2: $i] : v8_relat_2(k5_relat_1(k6_partfun1(X0),k5_relat_1(k6_partfun1(X1),k6_partfun1(X2)))),
inference(superposition,[status(thm)],[c_49266,c_169447]) ).
tcf(c_173811,plain,
! [X0: $i] : v3_relat_2(k5_relat_1(np__0,k6_partfun1(X0))),
inference(superposition,[status(thm)],[c_2188,c_169448]) ).
tcf(c_173812,plain,
! [X0: $i,X1: $i,X2: $i] : v3_relat_2(k5_relat_1(k5_relat_1(k6_partfun1(X0),k6_partfun1(X1)),k6_partfun1(X2))),
inference(superposition,[status(thm)],[c_49266,c_169448]) ).
tcf(c_173813,plain,
! [X0: $i] : v3_relat_2(k5_relat_1(k6_partfun1(X0),np__0)),
inference(superposition,[status(thm)],[c_2188,c_169448]) ).
tcf(c_173814,plain,
! [X0: $i,X1: $i,X2: $i] : v3_relat_2(k5_relat_1(k6_partfun1(X0),k5_relat_1(k6_partfun1(X1),k6_partfun1(X2)))),
inference(superposition,[status(thm)],[c_49266,c_169448]) ).
tcf(c_173819,plain,
! [X0: $i] : v1_relat_1(k5_relat_1(np__0,k6_partfun1(X0))),
inference(superposition,[status(thm)],[c_2188,c_169449]) ).
tcf(c_173820,plain,
! [X0: $i,X1: $i,X2: $i] : v1_relat_1(k5_relat_1(k5_relat_1(k6_partfun1(X0),k6_partfun1(X1)),k6_partfun1(X2))),
inference(superposition,[status(thm)],[c_49266,c_169449]) ).
tcf(c_173821,plain,
! [X0: $i] : v1_relat_1(k5_relat_1(k6_partfun1(X0),np__0)),
inference(superposition,[status(thm)],[c_2188,c_169449]) ).
tcf(c_173822,plain,
! [X0: $i,X1: $i,X2: $i] : v1_relat_1(k5_relat_1(k6_partfun1(X0),k5_relat_1(k6_partfun1(X1),k6_partfun1(X2)))),
inference(superposition,[status(thm)],[c_49266,c_169449]) ).
tcf(c_173827,plain,
! [X0: $i] : v1_funct_1(k5_relat_1(np__0,k6_partfun1(X0))),
inference(superposition,[status(thm)],[c_2188,c_169450]) ).
tcf(c_173828,plain,
! [X0: $i,X1: $i,X2: $i] : v1_funct_1(k5_relat_1(k5_relat_1(k6_partfun1(X0),k6_partfun1(X1)),k6_partfun1(X2))),
inference(superposition,[status(thm)],[c_49266,c_169450]) ).
tcf(c_173829,plain,
! [X0: $i] : v1_funct_1(k5_relat_1(k6_partfun1(X0),np__0)),
inference(superposition,[status(thm)],[c_2188,c_169450]) ).
tcf(c_173830,plain,
! [X0: $i,X1: $i,X2: $i] : v1_funct_1(k5_relat_1(k6_partfun1(X0),k5_relat_1(k6_partfun1(X1),k6_partfun1(X2)))),
inference(superposition,[status(thm)],[c_49266,c_169450]) ).
tcf(c_173836,plain,
( v3_struct_0(sK39)
| ~ l1_struct_0(sK39)
| ~ v1_xboole_0(u1_struct_0(sK39)) ),
inference(superposition,[status(thm)],[c_173764,c_356]) ).
tcf(c_173837,plain,
( m1_subset_1(u1_struct_0(sK39),k1_zfmisc_1(u1_struct_0(sK39)))
| ~ l1_struct_0(sK39) ),
inference(superposition,[status(thm)],[c_173764,c_341]) ).
tcf(c_173838,plain,
m1_subset_1(u1_struct_0(sK39),k1_zfmisc_1(u1_struct_0(sK39))),
inference(forward_subsumption_resolution,[status(thm)],[c_173837,c_159583]) ).
tcf(c_173839,plain,
~ v1_xboole_0(u1_struct_0(sK39)),
inference(forward_subsumption_resolution,[status(thm)],[c_173836,c_54,c_159583]) ).
tcf(c_173841,plain,
r1_tarski(u1_struct_0(sK39),u1_struct_0(sK39)),
inference(superposition,[status(thm)],[c_173838,c_541]) ).
tcf(c_173842,plain,
! [X0: $i] : v2_funct_1(k5_relat_1(np__0,k6_partfun1(X0))),
inference(superposition,[status(thm)],[c_2188,c_169451]) ).
tcf(c_173843,plain,
! [X0: $i,X1: $i,X2: $i] : v2_funct_1(k5_relat_1(k5_relat_1(k6_partfun1(X0),k6_partfun1(X1)),k6_partfun1(X2))),
inference(superposition,[status(thm)],[c_49266,c_169451]) ).
tcf(c_173844,plain,
! [X0: $i] : v2_funct_1(k5_relat_1(k6_partfun1(X0),np__0)),
inference(superposition,[status(thm)],[c_2188,c_169451]) ).
tcf(c_173845,plain,
! [X0: $i,X1: $i,X2: $i] : v2_funct_1(k5_relat_1(k6_partfun1(X0),k5_relat_1(k6_partfun1(X1),k6_partfun1(X2)))),
inference(superposition,[status(thm)],[c_49266,c_169451]) ).
tcf(c_173846,plain,
! [X0: $i,X1: $i] :
( sP23(k5_relat_1(k6_partfun1(X0),k6_partfun1(X1)))
| ~ sP24(k5_relat_1(k6_partfun1(X0),k6_partfun1(X1))) ),
inference(superposition,[status(thm)],[c_169451,c_2224]) ).
tcf(c_173849,plain,
! [X0: $i,X1: $i] : sP23(k5_relat_1(k6_partfun1(X0),k6_partfun1(X1))),
inference(forward_subsumption_resolution,[status(thm)],[c_173846,c_169425]) ).
tcf(c_173853,plain,
! [X0: $i] : ~ r1_tarski(k3_relat_1(k6_partfun1(k1_zfmisc_1(X0))),X0),
inference(superposition,[status(thm)],[c_562,c_169593]) ).
tcf(c_173854,plain,
~ v1_int_1(k3_relat_1(k6_partfun1(k4_numbers))),
inference(superposition,[status(thm)],[c_2723,c_169593]) ).
tcf(c_173855,plain,
~ v1_xreal_0(k3_relat_1(k6_partfun1(k1_numbers))),
inference(superposition,[status(thm)],[c_2744,c_169593]) ).
tcf(c_173856,plain,
~ r2_hidden(k3_relat_1(np__0),np__0),
inference(superposition,[status(thm)],[c_2188,c_169593]) ).
tcf(c_173857,plain,
! [X0: $i,X1: $i] : ~ r2_hidden(k3_relat_1(k5_relat_1(k6_partfun1(X0),k6_partfun1(X1))),k1_setfam_1(k2_tarski(X0,X1))),
inference(superposition,[status(thm)],[c_49266,c_169593]) ).
tcf(c_173860,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : k3_tarski(k2_tarski(k2_enumset1(X0,X0,X1,X2),k2_tarski(X3,X3))) = k2_enumset1(X3,X0,X1,X2),
inference(superposition,[status(thm)],[c_2707,c_53895]) ).
tcf(c_173862,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( X0 = np__0 )
| ( k3_tarski(k2_tarski(k2_relat_1(sK46(X0,X1)),k2_enumset1(X2,X2,X3,X4))) = k2_enumset1(X1,X2,X3,X4) ) ),
inference(superposition,[status(thm)],[c_51182,c_53895]) ).
tcf(c_173863,plain,
! [X0: $i,X1: $i,X2: $i] : k3_tarski(k2_tarski(k1_zfmisc_1(np__0),k2_enumset1(X0,X0,X1,X2))) = k2_enumset1(np__0,X0,X1,X2),
inference(superposition,[status(thm)],[c_47417,c_53895]) ).
tcf(c_173864,plain,
! [X0: $i,X1: $i,X2: $i] : k3_tarski(k2_tarski(k2_tarski(X0,X0),k2_tarski(X1,X2))) = k2_enumset1(X0,X1,X1,X2),
inference(superposition,[status(thm)],[c_3626,c_53895]) ).
tcf(c_173871,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : k3_tarski(k2_tarski(k2_tarski(X0,X0),k2_enumset1(X1,X2,X3,X1))) = k2_enumset1(X0,X1,X2,X3),
inference(superposition,[status(thm)],[c_3618,c_53895]) ).
tcf(c_173880,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : k3_tarski(k2_tarski(k2_tarski(X0,X0),k2_enumset1(X1,X2,X3,X3))) = k2_enumset1(X0,X1,X2,X3),
inference(superposition,[status(thm)],[c_52485,c_53895]) ).
tcf(c_173883,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : k3_tarski(k2_tarski(k2_tarski(X0,X0),k2_enumset1(X1,X2,X3,X3))) = k2_enumset1(X0,X3,X2,X1),
inference(superposition,[status(thm)],[c_3612,c_53895]) ).
tcf(c_173884,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : k3_tarski(k2_tarski(k2_tarski(X0,X0),k2_enumset1(X1,X2,X3,X3))) = k2_enumset1(X0,X3,X1,X2),
inference(superposition,[status(thm)],[c_3613,c_53895]) ).
tcf(c_173887,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : k3_tarski(k2_tarski(k2_tarski(X0,X0),k2_enumset1(X1,X2,X3,X2))) = k2_enumset1(X0,X2,X3,X1),
inference(superposition,[status(thm)],[c_3616,c_53895]) ).
tcf(c_173888,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : k3_tarski(k2_tarski(k2_tarski(X0,X0),k2_enumset1(X1,X2,X3,X2))) = k2_enumset1(X0,X2,X1,X3),
inference(superposition,[status(thm)],[c_3617,c_53895]) ).
tcf(c_173889,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : k3_tarski(k2_tarski(k2_tarski(X0,X0),k2_enumset1(X1,X2,X2,X3))) = k2_enumset1(X0,X2,X3,X1),
inference(superposition,[status(thm)],[c_3618,c_53895]) ).
tcf(c_173890,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : k3_tarski(k2_tarski(k2_tarski(X0,X0),k2_enumset1(X1,X2,X2,X3))) = k2_enumset1(X0,X2,X1,X3),
inference(superposition,[status(thm)],[c_3619,c_53895]) ).
tcf(c_173892,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : k3_tarski(k2_tarski(k2_tarski(X0,X0),k2_enumset1(X1,X2,X3,X1))) = k2_enumset1(X0,X1,X3,X2),
inference(superposition,[status(thm)],[c_3622,c_53895]) ).
tcf(c_173893,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : k3_tarski(k2_tarski(k2_tarski(X0,X0),k2_enumset1(X1,X2,X1,X3))) = k2_enumset1(X0,X1,X3,X2),
inference(superposition,[status(thm)],[c_3623,c_53895]) ).
tcf(c_173894,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : k3_tarski(k2_tarski(k2_tarski(X0,X0),k2_enumset1(X1,X2,X1,X3))) = k2_enumset1(X0,X1,X2,X3),
inference(superposition,[status(thm)],[c_3624,c_53895]) ).
tcf(c_173895,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : k3_tarski(k2_tarski(k2_tarski(X0,X0),k2_enumset1(X1,X1,X2,X3))) = k2_enumset1(X0,X1,X3,X2),
inference(superposition,[status(thm)],[c_3625,c_53895]) ).
tcf(c_173896,plain,
! [X0: $i,X1: $i,X2: $i] : k3_tarski(k2_tarski(k2_tarski(X0,X0),k2_enumset1(X1,X1,X1,X2))) = k2_enumset1(X0,X1,X2,X2),
inference(superposition,[status(thm)],[c_52485,c_53895]) ).
tcf(c_173897,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : k4_xboole_0(k2_enumset1(X0,X1,X2,X3),k1_setfam_1(k2_tarski(k2_enumset1(X1,X1,X2,X3),k2_tarski(X0,X0)))) = k5_xboole_0(k2_tarski(X0,X0),k2_enumset1(X1,X1,X2,X3)),
inference(superposition,[status(thm)],[c_53895,c_51197]) ).
tcf(c_173898,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : k5_xboole_0(k2_tarski(X0,X0),k5_xboole_0(k2_enumset1(X1,X1,X2,X3),k2_enumset1(X0,X1,X2,X3))) = k1_setfam_1(k2_tarski(k2_enumset1(X1,X1,X2,X3),k2_tarski(X0,X0))),
inference(superposition,[status(thm)],[c_53895,c_50414]) ).
tcf(c_173901,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : r1_tarski(k2_tarski(X0,X0),k2_enumset1(X0,X1,X2,X3)),
inference(superposition,[status(thm)],[c_53895,c_497]) ).
tcf(c_173902,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : k3_tarski(k2_tarski(k2_tarski(X0,X0),k3_tarski(k2_tarski(k2_enumset1(X1,X1,X2,X3),X4)))) = k3_tarski(k2_tarski(k2_enumset1(X0,X1,X2,X3),X4)),
inference(superposition,[status(thm)],[c_53895,c_500]) ).
tcf(c_173903,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : k3_tarski(k2_tarski(k2_tarski(X0,X0),k2_enumset1(X0,X1,X2,X3))) = k2_enumset1(X0,X1,X2,X3),
inference(superposition,[status(thm)],[c_53895,c_498]) ).
tcf(c_173905,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : k4_xboole_0(k2_enumset1(X0,X1,X2,X3),k2_enumset1(X1,X1,X2,X3)) = k4_xboole_0(k2_tarski(X0,X0),k2_enumset1(X1,X1,X2,X3)),
inference(superposition,[status(thm)],[c_53895,c_485]) ).
tcf(c_173906,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : k4_xboole_0(k4_xboole_0(X0,k2_tarski(X1,X1)),k2_enumset1(X2,X2,X3,X4)) = k4_xboole_0(X0,k2_enumset1(X1,X2,X3,X4)),
inference(superposition,[status(thm)],[c_53895,c_484]) ).
tcf(c_173907,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : r1_tarski(k2_enumset1(X0,X0,X1,X2),k2_enumset1(X3,X0,X1,X2)),
inference(superposition,[status(thm)],[c_53895,c_162055]) ).
tcf(c_173908,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ~ r2_hidden(k2_enumset1(X0,X1,X2,X3),k1_setfam_1(k2_tarski(k2_tarski(X0,X0),k2_enumset1(X1,X1,X2,X3)))),
inference(superposition,[status(thm)],[c_53895,c_167159]) ).
tcf(c_173909,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ~ r2_hidden(k1_zfmisc_1(k2_enumset1(X0,X1,X2,X3)),k2_tarski(k2_tarski(X0,X0),k2_enumset1(X1,X1,X2,X3))),
inference(superposition,[status(thm)],[c_53895,c_167158]) ).
tcf(c_173910,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v3_ordinal1(k2_enumset1(X0,X1,X2,X3))
| ~ v1_xboole_0(k2_tarski(k2_tarski(X0,X0),k2_enumset1(X1,X1,X2,X3))) ),
inference(superposition,[status(thm)],[c_53895,c_164233]) ).
tcf(c_173911,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v1_membered(k2_enumset1(X0,X1,X2,X3))
| ~ v1_xboole_0(k2_tarski(k2_tarski(X0,X0),k2_enumset1(X1,X1,X2,X3))) ),
inference(superposition,[status(thm)],[c_53895,c_163434]) ).
tcf(c_173912,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v2_membered(k2_enumset1(X0,X1,X2,X3))
| ~ v1_xboole_0(k2_tarski(k2_tarski(X0,X0),k2_enumset1(X1,X1,X2,X3))) ),
inference(superposition,[status(thm)],[c_53895,c_163150]) ).
tcf(c_173913,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v3_membered(k2_enumset1(X0,X1,X2,X3))
| ~ v1_xboole_0(k2_tarski(k2_tarski(X0,X0),k2_enumset1(X1,X1,X2,X3))) ),
inference(superposition,[status(thm)],[c_53895,c_162596]) ).
tcf(c_173914,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v4_membered(k2_enumset1(X0,X1,X2,X3))
| ~ v1_xboole_0(k2_tarski(k2_tarski(X0,X0),k2_enumset1(X1,X1,X2,X3))) ),
inference(superposition,[status(thm)],[c_53895,c_162258]) ).
tcf(c_173915,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v5_membered(k2_enumset1(X0,X1,X2,X3))
| ~ v1_xboole_0(k2_tarski(k2_tarski(X0,X0),k2_enumset1(X1,X1,X2,X3))) ),
inference(superposition,[status(thm)],[c_53895,c_161606]) ).
tcf(c_173916,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : k3_tarski(k3_tarski(k2_tarski(k2_tarski(k2_tarski(X0,X0),k2_enumset1(X1,X1,X2,X3)),X4))) = k3_tarski(k2_tarski(k2_enumset1(X0,X1,X2,X3),k3_tarski(X4))),
inference(superposition,[status(thm)],[c_53895,c_2509]) ).
tcf(c_173917,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v3_ordinal1(k2_enumset1(X0,X1,X2,X3))
| ~ v3_ordinal1(k2_tarski(k2_tarski(X0,X0),k2_enumset1(X1,X1,X2,X3))) ),
inference(superposition,[status(thm)],[c_53895,c_2504]) ).
tcf(c_173918,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v1_finset_1(k2_tarski(k2_tarski(X0,X0),k2_enumset1(X1,X1,X2,X3)))
| ~ v1_finset_1(k2_enumset1(X0,X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_53895,c_2497]) ).
tcf(c_173919,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : r1_tarski(k1_setfam_1(k2_tarski(k2_tarski(X0,X0),k2_enumset1(X1,X1,X2,X3))),k2_enumset1(X0,X1,X2,X3)),
inference(superposition,[status(thm)],[c_53895,c_2542]) ).
tcf(c_173920,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : r1_tarski(k2_tarski(k2_tarski(X0,X0),k2_enumset1(X1,X1,X2,X3)),k1_zfmisc_1(k2_enumset1(X0,X1,X2,X3))),
inference(superposition,[status(thm)],[c_53895,c_2506]) ).
tcf(c_173921,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( r1_tarski(X0,k2_enumset1(X1,X2,X3,X4))
| ~ r2_hidden(X0,k2_tarski(k2_tarski(X1,X1),k2_enumset1(X2,X2,X3,X4))) ),
inference(superposition,[status(thm)],[c_53895,c_2513]) ).
tcf(c_173922,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : k3_tarski(k3_tarski(k2_tarski(X0,k2_tarski(k2_tarski(X1,X1),k2_enumset1(X2,X2,X3,X4))))) = k3_tarski(k2_tarski(k3_tarski(X0),k2_enumset1(X1,X2,X3,X4))),
inference(superposition,[status(thm)],[c_53895,c_2509]) ).
tcf(c_173953,plain,
! [X0: $i,X1: $i] :
( v1_relat_1(X0)
| ~ v1_relat_1(X1)
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_167498,c_539]) ).
tcf(c_173954,plain,
! [X0: $i,X1: $i] :
( v1_relat_1(X0)
| ~ v1_relat_1(k3_tarski(k2_tarski(X0,X1))) ),
inference(superposition,[status(thm)],[c_497,c_539]) ).
tcf(c_173957,plain,
! [X0: $i] :
( v1_relat_1(k2_relat_1(sK115(X0,np__0)))
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_723,c_539]) ).
tcf(c_173958,plain,
! [X0: $i] :
( v1_relat_1(X0)
| ~ v1_relat_1(k5_numbers)
| ~ v5_membered(X0) ),
inference(superposition,[status(thm)],[c_1340,c_539]) ).
tcf(c_173959,plain,
! [X0: $i] :
( v1_relat_1(X0)
| ~ v1_relat_1(k4_numbers)
| ~ v4_membered(X0) ),
inference(superposition,[status(thm)],[c_1432,c_539]) ).
tcf(c_173960,plain,
! [X0: $i] :
( v1_relat_1(X0)
| ~ v1_relat_1(k3_numbers)
| ~ v3_membered(X0) ),
inference(superposition,[status(thm)],[c_1485,c_539]) ).
tcf(c_173961,plain,
! [X0: $i] :
( v1_relat_1(X0)
| ~ v1_relat_1(k1_numbers)
| ~ v2_membered(X0) ),
inference(superposition,[status(thm)],[c_1532,c_539]) ).
tcf(c_173962,plain,
! [X0: $i] :
( v1_relat_1(k5_finsub_1(X0))
| ~ v1_relat_1(k1_zfmisc_1(X0)) ),
inference(superposition,[status(thm)],[c_1653,c_539]) ).
tcf(c_173968,plain,
! [X0: $i] :
( v1_relat_1(k1_relat_1(X0))
| ~ v1_relat_1(X0)
| ~ v1_relat_1(k3_relat_1(X0)) ),
inference(superposition,[status(thm)],[c_2309,c_539]) ).
tcf(c_173969,plain,
! [X0: $i] :
( v1_relat_1(k2_relat_1(X0))
| ~ v1_relat_1(X0)
| ~ v1_relat_1(k3_relat_1(X0)) ),
inference(superposition,[status(thm)],[c_2310,c_539]) ).
tcf(c_173970,plain,
! [X0: $i,X1: $i] :
( v1_relat_1(X0)
| ~ v1_relat_1(k3_tarski(X1))
| ~ r2_hidden(X0,X1) ),
inference(superposition,[status(thm)],[c_2513,c_539]) ).
tcf(c_173971,plain,
! [X0: $i] :
( v1_relat_1(X0)
| ~ v1_relat_1(k1_zfmisc_1(k3_tarski(X0))) ),
inference(superposition,[status(thm)],[c_2506,c_539]) ).
tcf(c_173972,plain,
! [X0: $i,X1: $i] :
( v1_relat_1(k1_setfam_1(X1))
| ~ v1_relat_1(X0)
| ~ r2_hidden(X0,X1) ),
inference(superposition,[status(thm)],[c_2541,c_539]) ).
tcf(c_173973,plain,
! [X0: $i] :
( v1_relat_1(k1_setfam_1(X0))
| ~ v1_relat_1(k3_tarski(X0)) ),
inference(superposition,[status(thm)],[c_2542,c_539]) ).
tcf(c_173974,plain,
( v1_relat_1(k5_numbers)
| ~ v1_relat_1(k1_numbers) ),
inference(superposition,[status(thm)],[c_2576,c_539]) ).
tcf(c_173975,plain,
! [X0: $i,X1: $i] :
( v1_relat_1(k4_xboole_0(X0,X1))
| ~ v1_relat_1(k5_xboole_0(X0,X1)) ),
inference(superposition,[status(thm)],[c_2608,c_539]) ).
tcf(c_173976,plain,
( v1_relat_1(k5_numbers)
| ~ v1_relat_1(k4_numbers) ),
inference(superposition,[status(thm)],[c_2729,c_539]) ).
tcf(c_173977,plain,
( v1_relat_1(k4_numbers)
| ~ v1_relat_1(k2_numbers) ),
inference(superposition,[status(thm)],[c_2730,c_539]) ).
tcf(c_173978,plain,
( v1_relat_1(k4_numbers)
| ~ v1_relat_1(k1_numbers) ),
inference(superposition,[status(thm)],[c_2731,c_539]) ).
tcf(c_173979,plain,
( v1_relat_1(k4_numbers)
| ~ v1_relat_1(k3_numbers) ),
inference(superposition,[status(thm)],[c_2732,c_539]) ).
tcf(c_173980,plain,
( v1_relat_1(k5_numbers)
| ~ v1_relat_1(k3_numbers) ),
inference(superposition,[status(thm)],[c_2737,c_539]) ).
tcf(c_173981,plain,
( v1_relat_1(k3_numbers)
| ~ v1_relat_1(k2_numbers) ),
inference(superposition,[status(thm)],[c_2738,c_539]) ).
tcf(c_173982,plain,
( v1_relat_1(k3_numbers)
| ~ v1_relat_1(k1_numbers) ),
inference(superposition,[status(thm)],[c_2739,c_539]) ).
tcf(c_173984,plain,
! [X0: $i] :
( v1_relat_1(X0)
| r2_hidden(sK550(X0),X0)
| ~ v1_relat_1(sK551(X0)) ),
inference(superposition,[status(thm)],[c_3506,c_539]) ).
tcf(c_173985,plain,
! [X0: $i] :
( v1_relat_1(X0)
| ~ v3_ordinal1(sK550(X0))
| ~ v1_relat_1(sK551(X0)) ),
inference(superposition,[status(thm)],[c_3504,c_539]) ).
tcf(c_173986,plain,
! [X0: $i] :
( v1_relat_1(X0)
| ~ v1_relat_1(k2_numbers)
| ~ v1_membered(X0) ),
inference(superposition,[status(thm)],[c_3640,c_539]) ).
tcf(c_173987,plain,
( v1_relat_1(k5_numbers)
| ~ v1_relat_1(k2_numbers) ),
inference(superposition,[status(thm)],[c_3646,c_539]) ).
tcf(c_173988,plain,
( v1_relat_1(k1_numbers)
| ~ v1_relat_1(k2_numbers) ),
inference(superposition,[status(thm)],[c_3647,c_539]) ).
tcf(c_173989,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| v1_relat_1(sK87(X0))
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_167342,c_539]) ).
tcf(c_173990,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| v1_relat_1(sK264(X0))
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_167344,c_539]) ).
tcf(c_173991,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| v1_relat_1(sK265(X0))
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_167345,c_539]) ).
tcf(c_173992,plain,
! [X0: $i,X1: $i] :
( v1_relat_1(k2_tarski(X0,X0))
| ~ v1_relat_1(k2_tarski(X0,X1)) ),
inference(superposition,[status(thm)],[c_47411,c_539]) ).
tcf(c_173993,plain,
! [X0: $i,X1: $i] :
( v1_relat_1(k2_tarski(X1,X1))
| ~ v1_relat_1(k2_tarski(X0,X1)) ),
inference(superposition,[status(thm)],[c_47412,c_539]) ).
tcf(c_173994,plain,
! [X0: $i] :
( v1_relat_1(k2_tarski(X0,X0))
| ~ v1_relat_1(k1_zfmisc_1(X0)) ),
inference(superposition,[status(thm)],[c_47413,c_539]) ).
tcf(c_173996,plain,
! [X0: $i] :
( v1_relat_1(k2_tarski(X0,np__0))
| ~ v1_relat_1(k1_zfmisc_1(X0)) ),
inference(superposition,[status(thm)],[c_159660,c_539]) ).
tcf(c_173997,plain,
! [X0: $i] :
( v1_relat_1(k1_setfam_1(k1_zfmisc_1(X0)))
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_160376,c_539]) ).
tcf(c_173999,plain,
! [X0: $i,X1: $i] :
( v1_relat_1(X1)
| ~ v1_relat_1(k3_tarski(k2_tarski(X0,X1))) ),
inference(superposition,[status(thm)],[c_162055,c_539]) ).
tcf(c_174000,plain,
! [X0: $i] :
( v1_relat_1(k2_tarski(np__0,X0))
| ~ v1_relat_1(k1_zfmisc_1(X0)) ),
inference(superposition,[status(thm)],[c_162071,c_539]) ).
tcf(c_174002,plain,
! [X0: $i] :
( v1_relat_1(k1_zfmisc_1(np__0))
| ~ v1_relat_1(k2_tarski(X0,np__0)) ),
inference(superposition,[status(thm)],[c_165498,c_539]) ).
tcf(c_174003,plain,
! [X0: $i] :
( v1_relat_1(k1_zfmisc_1(np__0))
| ~ v1_relat_1(k2_tarski(np__0,X0)) ),
inference(superposition,[status(thm)],[c_165499,c_539]) ).
tcf(c_174004,plain,
! [X0: $i] :
( v1_relat_1(sK52(k1_zfmisc_1(X0)))
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_167340,c_539]) ).
tcf(c_174005,plain,
! [X0: $i] :
( v1_relat_1(X0)
| ~ v1_relat_1(k3_relat_1(k6_partfun1(X0))) ),
inference(superposition,[status(thm)],[c_169238,c_539]) ).
tcf(c_174125,plain,
! [X0: $i,X1: $i] :
( v1_relat_1(k1_zfmisc_1(X0))
| ~ v1_relat_1(k1_zfmisc_1(X1))
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_559,c_539]) ).
tcf(c_174126,plain,
! [X0: $i,X1: $i] :
( ~ r1_tarski(X1,X0)
| ~ r2_hidden(k1_zfmisc_1(X0),k1_zfmisc_1(X1)) ),
inference(superposition,[status(thm)],[c_559,c_538]) ).
tcf(c_174138,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,k1_zfmisc_1(X1))
| ~ r1_tarski(sK82(X0,k1_zfmisc_1(X1)),X1) ),
inference(superposition,[status(thm)],[c_562,c_571]) ).
tcf(c_174140,plain,
! [X0: $i] :
( r1_tarski(X0,k4_numbers)
| ~ v1_int_1(sK82(X0,k4_numbers)) ),
inference(superposition,[status(thm)],[c_2723,c_571]) ).
tcf(c_174141,plain,
! [X0: $i] :
( r1_tarski(X0,k1_numbers)
| ~ v1_xreal_0(sK82(X0,k1_numbers)) ),
inference(superposition,[status(thm)],[c_2744,c_571]) ).
tcf(c_174198,plain,
! [X0: $i] : ~ v1_xboole_0(k2_tarski(X0,X0)),
inference(superposition,[status(thm)],[c_169722,c_48546]) ).
tcf(c_174206,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X2 )
| ( X0 = np__0 )
| ( k4_xboole_0(k2_relat_1(sK46(X0,X1)),k2_tarski(X2,X2)) != np__0 ) ),
inference(superposition,[status(thm)],[c_51182,c_54022]) ).
tcf(c_174207,plain,
! [X0: $i] :
( ( X0 = np__0 )
| ( k4_xboole_0(k1_zfmisc_1(np__0),k2_tarski(X0,X0)) != np__0 ) ),
inference(superposition,[status(thm)],[c_47417,c_54022]) ).
tcf(c_174208,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = np__0 )
| ( X0 = X2 )
| ( k4_xboole_0(k2_tarski(X0,X0),k2_relat_1(sK46(X1,X2))) != np__0 ) ),
inference(superposition,[status(thm)],[c_51182,c_54022]) ).
tcf(c_174209,plain,
! [X0: $i] :
( ( X0 = np__0 )
| ( k4_xboole_0(k2_tarski(X0,X0),k1_zfmisc_1(np__0)) != np__0 ) ),
inference(superposition,[status(thm)],[c_47417,c_54022]) ).
tcf(c_174226,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| r2_hidden(sK52(X0),X0) ),
inference(superposition,[status(thm)],[c_161,c_588]) ).
tcf(c_174227,plain,
! [X0: $i] :
( v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| r2_hidden(k1_pre_topc(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_struct_0(X0) ),
inference(superposition,[status(thm)],[c_323,c_588]) ).
tcf(c_174228,plain,
! [X0: $i] :
( v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| r2_hidden(k2_pre_topc(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_struct_0(X0) ),
inference(superposition,[status(thm)],[c_341,c_588]) ).
tcf(c_174232,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| v1_xboole_0(k1_zfmisc_1(X0))
| r2_hidden(sK87(X0),k1_zfmisc_1(X0)) ),
inference(superposition,[status(thm)],[c_593,c_588]) ).
tcf(c_174233,plain,
! [X0: $i] :
( v1_xboole_0(k1_zfmisc_1(X0))
| r2_hidden(np__0,k1_zfmisc_1(X0)) ),
inference(superposition,[status(thm)],[c_696,c_588]) ).
tcf(c_174234,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| v1_xboole_0(k5_finsub_1(X0))
| r2_hidden(sK255(X0),k5_finsub_1(X0)) ),
inference(superposition,[status(thm)],[c_1633,c_588]) ).
tcf(c_174235,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| v1_xboole_0(k5_finsub_1(X0))
| r2_hidden(sK256(X0),k5_finsub_1(X0)) ),
inference(superposition,[status(thm)],[c_1637,c_588]) ).
tcf(c_174236,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| v1_xboole_0(k5_finsub_1(X0))
| r2_hidden(sK258(X0),k5_finsub_1(X0)) ),
inference(superposition,[status(thm)],[c_1642,c_588]) ).
tcf(c_174237,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| v1_xboole_0(k1_zfmisc_1(X0))
| r2_hidden(sK264(X0),k1_zfmisc_1(X0)) ),
inference(superposition,[status(thm)],[c_1687,c_588]) ).
tcf(c_174238,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| v1_xboole_0(k1_zfmisc_1(X0))
| r2_hidden(sK265(X0),k1_zfmisc_1(X0)) ),
inference(superposition,[status(thm)],[c_1695,c_588]) ).
tcf(c_174239,plain,
! [X0: $i] :
( v1_xboole_0(k1_zfmisc_1(k5_numbers))
| r2_hidden(k2_finseq_1(X0),k1_zfmisc_1(k5_numbers))
| ~ v4_ordinal2(X0) ),
inference(superposition,[status(thm)],[c_2552,c_588]) ).
tcf(c_174240,plain,
( v1_xboole_0(k1_zfmisc_1(k1_numbers))
| r2_hidden(k5_numbers,k1_zfmisc_1(k1_numbers)) ),
inference(superposition,[status(thm)],[c_2574,c_588]) ).
tcf(c_174241,plain,
! [X0: $i] :
( v4_finsub_1(X0)
| v1_xboole_0(X0)
| r2_hidden(sK407(X0),X0) ),
inference(superposition,[status(thm)],[c_170030,c_588]) ).
tcf(c_174242,plain,
! [X0: $i] :
( v4_finsub_1(X0)
| v1_xboole_0(X0)
| r2_hidden(sK406(X0),X0) ),
inference(superposition,[status(thm)],[c_170056,c_588]) ).
tcf(c_174243,plain,
! [X0: $i] :
( v4_finsub_1(X0)
| v1_xboole_0(X0)
| r2_hidden(sK409(X0),X0) ),
inference(superposition,[status(thm)],[c_170082,c_588]) ).
tcf(c_174244,plain,
! [X0: $i] :
( v4_finsub_1(X0)
| v1_xboole_0(X0)
| r2_hidden(sK408(X0),X0) ),
inference(superposition,[status(thm)],[c_170173,c_588]) ).
tcf(c_174245,plain,
! [X0: $i] :
( v4_finsub_1(X0)
| v1_xboole_0(X0)
| r2_hidden(sK411(X0),X0) ),
inference(superposition,[status(thm)],[c_170199,c_588]) ).
tcf(c_174246,plain,
! [X0: $i] :
( v4_finsub_1(X0)
| v1_xboole_0(X0)
| r2_hidden(sK410(X0),X0) ),
inference(superposition,[status(thm)],[c_170225,c_588]) ).
tcf(c_174247,plain,
( v1_xboole_0(k1_numbers)
| r2_hidden(sK416,k1_numbers) ),
inference(superposition,[status(thm)],[c_2718,c_588]) ).
tcf(c_174249,plain,
! [X0: $i] :
( v1_xboole_0(k5_finsub_1(X0))
| r2_hidden(np__0,k5_finsub_1(X0)) ),
inference(superposition,[status(thm)],[c_3241,c_588]) ).
tcf(c_174253,plain,
! [X0: $i] :
( v1_relat_1(X0)
| v1_xboole_0(X0)
| r2_hidden(sK146(X0),X0) ),
inference(superposition,[status(thm)],[c_161344,c_588]) ).
tcf(c_174254,plain,
! [X0: $i] :
( v5_membered(X0)
| v1_xboole_0(X0)
| r2_hidden(sK229(X0),X0) ),
inference(superposition,[status(thm)],[c_161345,c_588]) ).
tcf(c_174255,plain,
! [X0: $i] :
( v4_membered(X0)
| v1_xboole_0(X0)
| r2_hidden(sK237(X0),X0) ),
inference(superposition,[status(thm)],[c_161346,c_588]) ).
tcf(c_174256,plain,
! [X0: $i] :
( v2_membered(X0)
| v1_xboole_0(X0)
| r2_hidden(sK245(X0),X0) ),
inference(superposition,[status(thm)],[c_161347,c_588]) ).
tcf(c_174257,plain,
! [X0: $i] :
( v1_membered(X0)
| v1_xboole_0(X0)
| r2_hidden(sK251(X0),X0) ),
inference(superposition,[status(thm)],[c_161348,c_588]) ).
tcf(c_174258,plain,
! [X0: $i] :
( v1_realset1(X0)
| v1_xboole_0(X0)
| r2_hidden(sK315(X0),X0) ),
inference(superposition,[status(thm)],[c_161349,c_588]) ).
tcf(c_174259,plain,
! [X0: $i] :
( v1_realset1(X0)
| v1_xboole_0(X0)
| r2_hidden(sK316(X0),X0) ),
inference(superposition,[status(thm)],[c_161350,c_588]) ).
tcf(c_174264,plain,
! [X0: $i] :
( v3_ordinal1(X0)
| v1_xboole_0(X0)
| r2_hidden(sK552(X0),X0) ),
inference(superposition,[status(thm)],[c_161356,c_588]) ).
tcf(c_174265,plain,
! [X0: $i] :
( v4_finsub_1(X0)
| v1_xboole_0(X0)
| r2_hidden(sK558(X0),X0) ),
inference(superposition,[status(thm)],[c_161357,c_588]) ).
tcf(c_174266,plain,
! [X0: $i] :
( v4_finsub_1(X0)
| v1_xboole_0(X0)
| r2_hidden(sK559(X0),X0) ),
inference(superposition,[status(thm)],[c_161358,c_588]) ).
tcf(c_174271,plain,
( v1_xboole_0(k1_zfmisc_1(u1_struct_0(sK39)))
| r2_hidden(u1_struct_0(sK39),k1_zfmisc_1(u1_struct_0(sK39))) ),
inference(superposition,[status(thm)],[c_173838,c_588]) ).
tcf(c_174272,plain,
r2_hidden(sK416,k1_numbers),
inference(forward_subsumption_resolution,[status(thm)],[c_174247,c_2745]) ).
tcf(c_174277,plain,
r2_hidden(k5_numbers,k1_zfmisc_1(k1_numbers)),
inference(forward_subsumption_resolution,[status(thm)],[c_174240,c_595]) ).
tcf(c_174278,plain,
! [X0: $i] : r2_hidden(np__0,k1_zfmisc_1(X0)),
inference(forward_subsumption_resolution,[status(thm)],[c_174233,c_595]) ).
tcf(c_174327,plain,
r2_hidden(u1_struct_0(sK39),k1_zfmisc_1(u1_struct_0(sK39))),
inference(forward_subsumption_resolution,[status(thm)],[c_174271,c_595]) ).
tcf(c_174337,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| r2_hidden(sK265(X0),k1_zfmisc_1(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_174238,c_595]) ).
tcf(c_174340,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| r2_hidden(sK264(X0),k1_zfmisc_1(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_174237,c_595]) ).
tcf(c_174352,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| r2_hidden(sK87(X0),k1_zfmisc_1(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_174232,c_595]) ).
tcf(c_174355,plain,
! [X0: $i] :
( r2_hidden(k2_finseq_1(X0),k1_zfmisc_1(k5_numbers))
| ~ v4_ordinal2(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_174239,c_595]) ).
tcf(c_174364,plain,
! [X0: $i] :
( r2_hidden(k2_pre_topc(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_struct_0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_174228,c_595]) ).
tcf(c_174367,plain,
! [X0: $i] :
( r2_hidden(k1_pre_topc(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_struct_0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_174227,c_595]) ).
tcf(c_174399,plain,
! [X0: $i,X1: $i] :
( v1_finset_1(X1)
| ~ v1_xboole_0(X1)
| ~ v1_xboole_0(k5_finsub_1(X0)) ),
inference(superposition,[status(thm)],[c_589,c_1655]) ).
tcf(c_174412,plain,
! [X0: $i] :
( v1_xboole_0(sK52(X0))
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_161,c_590]) ).
tcf(c_174414,plain,
! [X0: $i] :
( v1_xboole_0(k2_pre_topc(X0))
| ~ l1_struct_0(X0)
| ~ v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_341,c_590]) ).
tcf(c_174417,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(X0)
| ~ v1_xboole_0(k1_zfmisc_1(X1))
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_540,c_590]) ).
tcf(c_174420,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| v1_xboole_0(sK255(X0))
| ~ v1_xboole_0(k5_finsub_1(X0)) ),
inference(superposition,[status(thm)],[c_1633,c_590]) ).
tcf(c_174421,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| v1_xboole_0(sK256(X0))
| ~ v1_xboole_0(k5_finsub_1(X0)) ),
inference(superposition,[status(thm)],[c_1637,c_590]) ).
tcf(c_174422,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| v1_xboole_0(sK258(X0))
| ~ v1_xboole_0(k5_finsub_1(X0)) ),
inference(superposition,[status(thm)],[c_1642,c_590]) ).
tcf(c_174425,plain,
! [X0: $i] :
( v1_xboole_0(k2_finseq_1(X0))
| ~ v4_ordinal2(X0)
| ~ v1_xboole_0(k1_zfmisc_1(k5_numbers)) ),
inference(superposition,[status(thm)],[c_2552,c_590]) ).
tcf(c_174426,plain,
( v1_xboole_0(k5_numbers)
| ~ v1_xboole_0(k1_zfmisc_1(k1_numbers)) ),
inference(superposition,[status(thm)],[c_2574,c_590]) ).
tcf(c_174427,plain,
! [X0: $i] :
( v4_finsub_1(X0)
| v1_xboole_0(sK407(X0))
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_170030,c_590]) ).
tcf(c_174428,plain,
! [X0: $i] :
( v4_finsub_1(X0)
| v1_xboole_0(sK406(X0))
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_170056,c_590]) ).
tcf(c_174429,plain,
! [X0: $i] :
( v4_finsub_1(X0)
| v1_xboole_0(sK409(X0))
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_170082,c_590]) ).
tcf(c_174430,plain,
! [X0: $i] :
( v4_finsub_1(X0)
| v1_xboole_0(sK408(X0))
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_170173,c_590]) ).
tcf(c_174431,plain,
! [X0: $i] :
( v4_finsub_1(X0)
| v1_xboole_0(sK411(X0))
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_170199,c_590]) ).
tcf(c_174432,plain,
! [X0: $i] :
( v4_finsub_1(X0)
| v1_xboole_0(sK410(X0))
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_170225,c_590]) ).
tcf(c_174439,plain,
! [X0: $i] :
( v1_relat_1(X0)
| v1_xboole_0(sK146(X0))
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_161344,c_590]) ).
tcf(c_174440,plain,
! [X0: $i] :
( v5_membered(X0)
| v1_xboole_0(sK229(X0))
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_161345,c_590]) ).
tcf(c_174441,plain,
! [X0: $i] :
( v4_membered(X0)
| v1_xboole_0(sK237(X0))
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_161346,c_590]) ).
tcf(c_174442,plain,
! [X0: $i] :
( v2_membered(X0)
| v1_xboole_0(sK245(X0))
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_161347,c_590]) ).
tcf(c_174443,plain,
! [X0: $i] :
( v1_membered(X0)
| v1_xboole_0(sK251(X0))
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_161348,c_590]) ).
tcf(c_174444,plain,
! [X0: $i] :
( v1_realset1(X0)
| v1_xboole_0(sK315(X0))
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_161349,c_590]) ).
tcf(c_174445,plain,
! [X0: $i] :
( v1_realset1(X0)
| v1_xboole_0(sK316(X0))
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_161350,c_590]) ).
tcf(c_174450,plain,
! [X0: $i] :
( v3_ordinal1(X0)
| v1_xboole_0(sK552(X0))
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_161356,c_590]) ).
tcf(c_174451,plain,
! [X0: $i] :
( v4_finsub_1(X0)
| v1_xboole_0(sK558(X0))
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_161357,c_590]) ).
tcf(c_174452,plain,
! [X0: $i] :
( v4_finsub_1(X0)
| v1_xboole_0(sK559(X0))
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_161358,c_590]) ).
tcf(c_174454,plain,
! [X0: $i] :
( v5_membered(k3_tarski(X0))
| v1_xboole_0(sK223(X0))
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_161605,c_590]) ).
tcf(c_174455,plain,
! [X0: $i] :
( v4_membered(k3_tarski(X0))
| v1_xboole_0(sK231(X0))
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_162257,c_590]) ).
tcf(c_174456,plain,
! [X0: $i] :
( v3_membered(k3_tarski(X0))
| v1_xboole_0(sK238(X0))
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_162595,c_590]) ).
tcf(c_174457,plain,
( v1_xboole_0(u1_struct_0(sK39))
| ~ v1_xboole_0(k1_zfmisc_1(u1_struct_0(sK39))) ),
inference(superposition,[status(thm)],[c_173838,c_590]) ).
tcf(c_174549,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_relat_1(X2)
| ~ v1_xboole_0(X2)
| ~ v1_xboole_0(k1_zfmisc_1(k2_zfmisc_1(X0,X1))) ),
inference(superposition,[status(thm)],[c_589,c_612]) ).
tcf(c_174550,plain,
! [X0: $i,X1: $i] : v1_relat_1(sK52(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))),
inference(superposition,[status(thm)],[c_161,c_612]) ).
tcf(c_174551,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_relat_1(X0)
| ~ r1_tarski(X0,k2_zfmisc_1(X1,X2)) ),
inference(superposition,[status(thm)],[c_540,c_612]) ).
tcf(c_174552,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(k2_zfmisc_1(X0,X1))
| v1_relat_1(sK87(k2_zfmisc_1(X0,X1))) ),
inference(superposition,[status(thm)],[c_593,c_612]) ).
tcf(c_174554,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(k2_zfmisc_1(X0,X1))
| v1_relat_1(sK264(k2_zfmisc_1(X0,X1))) ),
inference(superposition,[status(thm)],[c_1687,c_612]) ).
tcf(c_174555,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(k2_zfmisc_1(X0,X1))
| v1_relat_1(sK265(k2_zfmisc_1(X0,X1))) ),
inference(superposition,[status(thm)],[c_1695,c_612]) ).
tcf(c_174556,plain,
! [X0: $i,X1: $i] :
( v4_finsub_1(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| v1_relat_1(sK407(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))) ),
inference(superposition,[status(thm)],[c_170030,c_612]) ).
tcf(c_174557,plain,
! [X0: $i,X1: $i] :
( v4_finsub_1(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| v1_relat_1(sK406(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))) ),
inference(superposition,[status(thm)],[c_170056,c_612]) ).
tcf(c_174558,plain,
! [X0: $i,X1: $i] :
( v4_finsub_1(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| v1_relat_1(sK409(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))) ),
inference(superposition,[status(thm)],[c_170082,c_612]) ).
tcf(c_174559,plain,
! [X0: $i,X1: $i] :
( v4_finsub_1(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| v1_relat_1(sK408(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))) ),
inference(superposition,[status(thm)],[c_170173,c_612]) ).
tcf(c_174560,plain,
! [X0: $i,X1: $i] :
( v4_finsub_1(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| v1_relat_1(sK411(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))) ),
inference(superposition,[status(thm)],[c_170199,c_612]) ).
tcf(c_174561,plain,
! [X0: $i,X1: $i] :
( v4_finsub_1(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| v1_relat_1(sK410(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))) ),
inference(superposition,[status(thm)],[c_170225,c_612]) ).
tcf(c_174562,plain,
! [X0: $i,X1: $i] :
( v1_relat_1(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| v1_relat_1(sK146(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))) ),
inference(superposition,[status(thm)],[c_161344,c_612]) ).
tcf(c_174563,plain,
! [X0: $i,X1: $i] :
( v5_membered(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| v1_relat_1(sK229(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))) ),
inference(superposition,[status(thm)],[c_161345,c_612]) ).
tcf(c_174564,plain,
! [X0: $i,X1: $i] :
( v4_membered(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| v1_relat_1(sK237(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))) ),
inference(superposition,[status(thm)],[c_161346,c_612]) ).
tcf(c_174565,plain,
! [X0: $i,X1: $i] :
( v2_membered(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| v1_relat_1(sK245(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))) ),
inference(superposition,[status(thm)],[c_161347,c_612]) ).
tcf(c_174566,plain,
! [X0: $i,X1: $i] :
( v1_membered(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| v1_relat_1(sK251(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))) ),
inference(superposition,[status(thm)],[c_161348,c_612]) ).
tcf(c_174567,plain,
! [X0: $i,X1: $i] :
( v1_realset1(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| v1_relat_1(sK315(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))) ),
inference(superposition,[status(thm)],[c_161349,c_612]) ).
tcf(c_174568,plain,
! [X0: $i,X1: $i] :
( v1_realset1(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| v1_relat_1(sK316(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))) ),
inference(superposition,[status(thm)],[c_161350,c_612]) ).
tcf(c_174569,plain,
! [X0: $i,X1: $i] :
( v3_ordinal1(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| v1_relat_1(sK552(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))) ),
inference(superposition,[status(thm)],[c_161356,c_612]) ).
tcf(c_174570,plain,
! [X0: $i,X1: $i] :
( v4_finsub_1(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| v1_relat_1(sK558(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))) ),
inference(superposition,[status(thm)],[c_161357,c_612]) ).
tcf(c_174571,plain,
! [X0: $i,X1: $i] :
( v4_finsub_1(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| v1_relat_1(sK559(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))) ),
inference(superposition,[status(thm)],[c_161358,c_612]) ).
tcf(c_174572,plain,
! [X0: $i,X1: $i] :
( v5_membered(k3_tarski(k1_zfmisc_1(k2_zfmisc_1(X0,X1))))
| v1_relat_1(sK223(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))) ),
inference(superposition,[status(thm)],[c_161605,c_612]) ).
tcf(c_174573,plain,
! [X0: $i,X1: $i] :
( v4_membered(k3_tarski(k1_zfmisc_1(k2_zfmisc_1(X0,X1))))
| v1_relat_1(sK231(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))) ),
inference(superposition,[status(thm)],[c_162257,c_612]) ).
tcf(c_174574,plain,
! [X0: $i,X1: $i] :
( v3_membered(k3_tarski(k1_zfmisc_1(k2_zfmisc_1(X0,X1))))
| v1_relat_1(sK238(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))) ),
inference(superposition,[status(thm)],[c_162595,c_612]) ).
tcf(c_174575,plain,
! [X0: $i] :
( v1_relat_1(X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(np__0)) ),
inference(superposition,[status(thm)],[c_619,c_612]) ).
tcf(c_174624,plain,
~ r2_hidden(k1_numbers,sK416),
inference(superposition,[status(thm)],[c_174272,c_631]) ).
tcf(c_174625,plain,
r2_hidden(sK92(k1_numbers),k1_numbers),
inference(superposition,[status(thm)],[c_174272,c_627]) ).
tcf(c_174629,plain,
~ r2_hidden(k1_zfmisc_1(k1_numbers),k5_numbers),
inference(superposition,[status(thm)],[c_174277,c_631]) ).
tcf(c_174630,plain,
r2_hidden(sK92(k1_zfmisc_1(k1_numbers)),k1_zfmisc_1(k1_numbers)),
inference(superposition,[status(thm)],[c_174277,c_627]) ).
tcf(c_174632,plain,
~ v1_xboole_0(k1_zfmisc_1(k1_numbers)),
inference(superposition,[status(thm)],[c_174277,c_597]) ).
tcf(c_174634,plain,
! [X0: $i] : ~ r2_hidden(k1_zfmisc_1(X0),np__0),
inference(superposition,[status(thm)],[c_174278,c_631]) ).
tcf(c_174635,plain,
! [X0: $i] : r2_hidden(sK92(k1_zfmisc_1(X0)),k1_zfmisc_1(X0)),
inference(superposition,[status(thm)],[c_174278,c_627]) ).
tcf(c_174639,plain,
~ r2_hidden(k1_zfmisc_1(u1_struct_0(sK39)),u1_struct_0(sK39)),
inference(superposition,[status(thm)],[c_174327,c_631]) ).
tcf(c_174640,plain,
r2_hidden(sK92(k1_zfmisc_1(u1_struct_0(sK39))),k1_zfmisc_1(u1_struct_0(sK39))),
inference(superposition,[status(thm)],[c_174327,c_627]) ).
tcf(c_174642,plain,
~ v1_xboole_0(k1_zfmisc_1(u1_struct_0(sK39))),
inference(superposition,[status(thm)],[c_174327,c_597]) ).
tcf(c_174644,plain,
~ r2_hidden(k1_zfmisc_1(u1_struct_0(sK39)),sK92(k1_zfmisc_1(u1_struct_0(sK39)))),
inference(superposition,[status(thm)],[c_174640,c_631]) ).
tcf(c_174646,plain,
m1_subset_1(sK92(k1_zfmisc_1(u1_struct_0(sK39))),k1_zfmisc_1(u1_struct_0(sK39))),
inference(superposition,[status(thm)],[c_174640,c_626]) ).
tcf(c_174648,plain,
r1_tarski(sK92(k1_zfmisc_1(u1_struct_0(sK39))),u1_struct_0(sK39)),
inference(superposition,[status(thm)],[c_174640,c_563]) ).
tcf(c_174649,plain,
( v1_relat_1(sK92(k1_zfmisc_1(u1_struct_0(sK39))))
| ~ v1_relat_1(u1_struct_0(sK39)) ),
inference(superposition,[status(thm)],[c_174648,c_539]) ).
tcf(c_174650,plain,
~ r2_hidden(u1_struct_0(sK39),sK92(k1_zfmisc_1(u1_struct_0(sK39)))),
inference(superposition,[status(thm)],[c_174648,c_538]) ).
tcf(c_174653,plain,
( v1_xboole_0(sK92(k1_zfmisc_1(u1_struct_0(sK39))))
| ~ v1_xboole_0(k1_zfmisc_1(u1_struct_0(sK39))) ),
inference(superposition,[status(thm)],[c_174646,c_590]) ).
tcf(c_174660,plain,
! [X0: $i,X1: $i,X2: $i] : k3_tarski(k2_tarski(X0,k3_tarski(k2_tarski(X1,X2)))) = k3_tarski(k2_enumset1(X1,X2,X0,X2)),
inference(demodulation,[status(thm)],[c_54298,c_160473,c_166166]) ).
tcf(c_174666,plain,
! [X0: $i,X1: $i,X2: $i] : k3_tarski(k2_tarski(k3_tarski(k2_tarski(X0,X1)),X2)) = k3_tarski(k2_enumset1(X0,X1,X2,X1)),
inference(superposition,[status(thm)],[c_2707,c_174660]) ).
tcf(c_174668,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2 = np__0 )
| ( k3_tarski(k2_enumset1(X0,X1,k3_tarski(k2_tarski(X0,X1)),X1)) = k3_tarski(k2_relat_1(sK46(X2,k3_tarski(k2_tarski(X0,X1))))) ) ),
inference(superposition,[status(thm)],[c_51182,c_174660]) ).
tcf(c_174669,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : k3_tarski(k2_tarski(X0,k3_tarski(k2_tarski(X1,k3_tarski(k2_tarski(X2,X3)))))) = k3_tarski(k2_enumset1(k3_tarski(k2_tarski(X1,X2)),X3,X0,X3)),
inference(superposition,[status(thm)],[c_500,c_174660]) ).
tcf(c_174670,plain,
! [X0: $i,X1: $i] : k3_tarski(k2_enumset1(X0,np__0,X1,np__0)) = k3_tarski(k2_tarski(X1,X0)),
inference(superposition,[status(thm)],[c_501,c_174660]) ).
tcf(c_174671,plain,
! [X0: $i,X1: $i] : k3_tarski(k2_enumset1(X0,X0,X1,X0)) = k3_tarski(k2_tarski(X1,X0)),
inference(superposition,[status(thm)],[c_502,c_174660]) ).
tcf(c_174672,plain,
! [X0: $i,X1: $i] : k3_tarski(k2_enumset1(np__0,X0,X1,X0)) = k3_tarski(k2_tarski(X1,X0)),
inference(superposition,[status(thm)],[c_162072,c_174660]) ).
tcf(c_174673,plain,
! [X0: $i,X1: $i,X2: $i] : k3_tarski(k2_tarski(X0,k3_tarski(k2_tarski(X1,X2)))) = k3_tarski(k2_enumset1(X2,X1,X0,X1)),
inference(superposition,[status(thm)],[c_2707,c_174660]) ).
tcf(c_174675,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = np__0 )
| ( k3_tarski(k2_tarski(X0,k3_tarski(k2_relat_1(sK46(X1,X2))))) = k3_tarski(k2_enumset1(X2,X2,X0,X2)) ) ),
inference(superposition,[status(thm)],[c_51182,c_174660]) ).
tcf(c_174676,plain,
! [X0: $i] : k3_tarski(k2_tarski(X0,k3_tarski(k1_zfmisc_1(np__0)))) = k3_tarski(k2_enumset1(np__0,np__0,X0,np__0)),
inference(superposition,[status(thm)],[c_47417,c_174660]) ).
tcf(c_174677,plain,
! [X0: $i] : k3_tarski(k2_tarski(X0,k3_tarski(k2_tarski(X0,X0)))) = k3_tarski(k2_tarski(X0,X0)),
inference(superposition,[status(thm)],[c_3626,c_174660]) ).
tcf(c_174690,plain,
! [X0: $i,X1: $i,X2: $i] : k3_tarski(k2_tarski(X0,k3_tarski(k2_tarski(X1,X2)))) = k3_tarski(k2_enumset1(X0,X2,X2,X1)),
inference(superposition,[status(thm)],[c_3612,c_174660]) ).
tcf(c_174694,plain,
! [X0: $i,X1: $i,X2: $i] : k3_tarski(k2_tarski(X0,k3_tarski(k2_tarski(X1,X2)))) = k3_tarski(k2_enumset1(X2,X0,X2,X1)),
inference(superposition,[status(thm)],[c_3610,c_174660]) ).
tcf(c_174695,plain,
! [X0: $i,X1: $i,X2: $i] : k3_tarski(k2_tarski(X0,k3_tarski(k2_tarski(X1,X2)))) = k3_tarski(k2_enumset1(X2,X2,X0,X1)),
inference(superposition,[status(thm)],[c_3611,c_174660]) ).
tcf(c_174696,plain,
! [X0: $i,X1: $i,X2: $i] : k3_tarski(k2_tarski(X0,k3_tarski(k2_tarski(X1,X2)))) = k3_tarski(k2_enumset1(X2,X0,X1,X2)),
inference(superposition,[status(thm)],[c_3612,c_174660]) ).
tcf(c_174698,plain,
! [X0: $i,X1: $i,X2: $i] : k3_tarski(k2_tarski(X0,k3_tarski(k2_tarski(X1,X2)))) = k3_tarski(k2_enumset1(X2,X2,X1,X0)),
inference(superposition,[status(thm)],[c_3614,c_174660]) ).
tcf(c_174699,plain,
! [X0: $i,X1: $i,X2: $i] : k3_tarski(k2_tarski(X0,k3_tarski(k2_tarski(X1,X2)))) = k3_tarski(k2_enumset1(X0,X2,X1,X2)),
inference(superposition,[status(thm)],[c_3615,c_174660]) ).
tcf(c_174703,plain,
! [X0: $i,X1: $i,X2: $i] : k3_tarski(k2_tarski(X0,k3_tarski(k2_tarski(X1,X2)))) = k3_tarski(k2_enumset1(X0,X1,X2,X2)),
inference(superposition,[status(thm)],[c_3619,c_174660]) ).
tcf(c_174704,plain,
! [X0: $i,X1: $i,X2: $i] : k3_tarski(k2_tarski(X0,k3_tarski(k2_tarski(X1,X2)))) = k3_tarski(k2_enumset1(X2,X1,X2,X0)),
inference(superposition,[status(thm)],[c_3620,c_174660]) ).
tcf(c_174705,plain,
! [X0: $i,X1: $i,X2: $i] : k3_tarski(k2_tarski(X0,k3_tarski(k2_tarski(X1,X2)))) = k3_tarski(k2_enumset1(X2,X1,X0,X2)),
inference(superposition,[status(thm)],[c_3621,c_174660]) ).
tcf(c_174707,plain,
! [X0: $i,X1: $i,X2: $i] : k3_tarski(k2_tarski(X0,k3_tarski(k2_tarski(X1,X2)))) = k3_tarski(k2_enumset1(X1,X0,X2,X2)),
inference(superposition,[status(thm)],[c_3624,c_174660]) ).
tcf(c_174708,plain,
! [X0: $i,X1: $i,X2: $i] : k3_tarski(k2_tarski(X0,k3_tarski(k2_tarski(X1,X2)))) = k3_tarski(k2_enumset1(X1,X2,X2,X0)),
inference(superposition,[status(thm)],[c_3625,c_174660]) ).
tcf(c_174709,plain,
! [X0: $i,X1: $i] : k3_tarski(k2_tarski(X0,k3_tarski(k2_tarski(X1,X0)))) = k3_tarski(k2_enumset1(X1,X1,X0,X0)),
inference(superposition,[status(thm)],[c_52485,c_174660]) ).
tcf(c_174710,plain,
! [X0: $i,X1: $i,X2: $i] : k4_xboole_0(k3_tarski(k2_enumset1(X0,X1,X2,X1)),k1_setfam_1(k2_tarski(k3_tarski(k2_tarski(X0,X1)),X2))) = k5_xboole_0(X2,k3_tarski(k2_tarski(X0,X1))),
inference(superposition,[status(thm)],[c_174660,c_51197]) ).
tcf(c_174711,plain,
! [X0: $i,X1: $i,X2: $i] : k5_xboole_0(X0,k5_xboole_0(k3_tarski(k2_tarski(X1,X2)),k3_tarski(k2_enumset1(X1,X2,X0,X2)))) = k1_setfam_1(k2_tarski(k3_tarski(k2_tarski(X1,X2)),X0)),
inference(superposition,[status(thm)],[c_174660,c_50414]) ).
tcf(c_174712,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_xboole_0(X2)
| ~ v1_xboole_0(k3_tarski(k2_enumset1(X0,X1,X2,X1))) ),
inference(superposition,[status(thm)],[c_174660,c_511]) ).
tcf(c_174713,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_xboole_0(k3_tarski(k2_tarski(X0,X1)))
| ~ v1_xboole_0(k3_tarski(k2_enumset1(X0,X1,X2,X1))) ),
inference(superposition,[status(thm)],[c_174660,c_510]) ).
tcf(c_174714,plain,
! [X0: $i,X1: $i,X2: $i] : r1_tarski(X0,k3_tarski(k2_enumset1(X1,X2,X0,X2))),
inference(superposition,[status(thm)],[c_174660,c_497]) ).
tcf(c_174715,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : k3_tarski(k2_tarski(X0,k3_tarski(k2_tarski(k3_tarski(k2_tarski(X1,X2)),X3)))) = k3_tarski(k2_tarski(k3_tarski(k2_enumset1(X1,X2,X0,X2)),X3)),
inference(superposition,[status(thm)],[c_174660,c_500]) ).
tcf(c_174716,plain,
! [X0: $i,X1: $i,X2: $i] : k3_tarski(k2_tarski(X0,k3_tarski(k2_enumset1(X1,X2,X0,X2)))) = k3_tarski(k2_enumset1(X1,X2,X0,X2)),
inference(superposition,[status(thm)],[c_174660,c_498]) ).
tcf(c_174717,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2 = np__0 )
| ( k3_tarski(k2_enumset1(X0,X1,X2,X1)) != np__0 ) ),
inference(superposition,[status(thm)],[c_174660,c_487]) ).
tcf(c_174718,plain,
! [X0: $i,X1: $i,X2: $i] : k4_xboole_0(k3_tarski(k2_enumset1(X0,X1,X2,X1)),k3_tarski(k2_tarski(X0,X1))) = k4_xboole_0(X2,k3_tarski(k2_tarski(X0,X1))),
inference(superposition,[status(thm)],[c_174660,c_485]) ).
tcf(c_174719,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : k4_xboole_0(X0,k3_tarski(k2_enumset1(X1,X2,X3,X2))) = k4_xboole_0(k4_xboole_0(X0,X3),k3_tarski(k2_tarski(X1,X2))),
inference(superposition,[status(thm)],[c_174660,c_484]) ).
tcf(c_174720,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : k3_tarski(k2_tarski(X0,k3_tarski(k2_tarski(X1,k3_tarski(k2_tarski(X2,X3)))))) = k3_tarski(k2_enumset1(X2,X3,k3_tarski(k2_tarski(X0,X1)),X3)),
inference(superposition,[status(thm)],[c_174660,c_500]) ).
tcf(c_174721,plain,
! [X0: $i,X1: $i] : k3_tarski(k2_enumset1(X0,X1,X0,X1)) = k3_tarski(k2_tarski(X0,X1)),
inference(superposition,[status(thm)],[c_174660,c_498]) ).
tcf(c_174722,plain,
! [X0: $i,X1: $i] : k3_tarski(k2_enumset1(X0,X1,k3_tarski(k2_tarski(X0,X1)),X1)) = k3_tarski(k2_tarski(X0,X1)),
inference(superposition,[status(thm)],[c_174660,c_502]) ).
tcf(c_174723,plain,
! [X0: $i,X1: $i,X2: $i] : r1_tarski(k3_tarski(k2_tarski(X0,X1)),k3_tarski(k2_enumset1(X0,X1,X2,X1))),
inference(superposition,[status(thm)],[c_174660,c_162055]) ).
tcf(c_174724,plain,
! [X0: $i,X1: $i,X2: $i] : ~ r2_hidden(k3_tarski(k2_enumset1(X0,X1,X2,X1)),k1_setfam_1(k2_tarski(X2,k3_tarski(k2_tarski(X0,X1))))),
inference(superposition,[status(thm)],[c_174660,c_167159]) ).
tcf(c_174725,plain,
! [X0: $i,X1: $i,X2: $i] : ~ r2_hidden(k1_zfmisc_1(k3_tarski(k2_enumset1(X0,X1,X2,X1))),k2_tarski(X2,k3_tarski(k2_tarski(X0,X1)))),
inference(superposition,[status(thm)],[c_174660,c_167158]) ).
tcf(c_174726,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_ordinal1(k3_tarski(k2_enumset1(X1,X2,X0,X2)))
| ~ v1_xboole_0(k2_tarski(X0,k3_tarski(k2_tarski(X1,X2)))) ),
inference(superposition,[status(thm)],[c_174660,c_164233]) ).
tcf(c_174727,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_membered(k3_tarski(k2_enumset1(X1,X2,X0,X2)))
| ~ v1_xboole_0(k2_tarski(X0,k3_tarski(k2_tarski(X1,X2)))) ),
inference(superposition,[status(thm)],[c_174660,c_163434]) ).
tcf(c_174728,plain,
! [X0: $i,X1: $i,X2: $i] :
( v2_membered(k3_tarski(k2_enumset1(X1,X2,X0,X2)))
| ~ v1_xboole_0(k2_tarski(X0,k3_tarski(k2_tarski(X1,X2)))) ),
inference(superposition,[status(thm)],[c_174660,c_163150]) ).
tcf(c_174729,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_membered(k3_tarski(k2_enumset1(X1,X2,X0,X2)))
| ~ v1_xboole_0(k2_tarski(X0,k3_tarski(k2_tarski(X1,X2)))) ),
inference(superposition,[status(thm)],[c_174660,c_162596]) ).
tcf(c_174730,plain,
! [X0: $i,X1: $i,X2: $i] :
( v4_membered(k3_tarski(k2_enumset1(X1,X2,X0,X2)))
| ~ v1_xboole_0(k2_tarski(X0,k3_tarski(k2_tarski(X1,X2)))) ),
inference(superposition,[status(thm)],[c_174660,c_162258]) ).
tcf(c_174731,plain,
! [X0: $i,X1: $i,X2: $i] :
( v5_membered(k3_tarski(k2_enumset1(X1,X2,X0,X2)))
| ~ v1_xboole_0(k2_tarski(X0,k3_tarski(k2_tarski(X1,X2)))) ),
inference(superposition,[status(thm)],[c_174660,c_161606]) ).
tcf(c_174732,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : k3_tarski(k2_tarski(k3_tarski(k2_enumset1(X0,X1,X2,X1)),k3_tarski(X3))) = k3_tarski(k3_tarski(k2_tarski(k2_tarski(X2,k3_tarski(k2_tarski(X0,X1))),X3))),
inference(superposition,[status(thm)],[c_174660,c_2509]) ).
tcf(c_174733,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_ordinal1(k3_tarski(k2_enumset1(X1,X2,X0,X2)))
| ~ v3_ordinal1(k2_tarski(X0,k3_tarski(k2_tarski(X1,X2)))) ),
inference(superposition,[status(thm)],[c_174660,c_2504]) ).
tcf(c_174734,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_finset_1(k2_tarski(X2,k3_tarski(k2_tarski(X0,X1))))
| ~ v1_finset_1(k3_tarski(k2_enumset1(X0,X1,X2,X1))) ),
inference(superposition,[status(thm)],[c_174660,c_2497]) ).
tcf(c_174735,plain,
! [X0: $i,X1: $i,X2: $i] : r1_tarski(k1_setfam_1(k2_tarski(X0,k3_tarski(k2_tarski(X1,X2)))),k3_tarski(k2_enumset1(X1,X2,X0,X2))),
inference(superposition,[status(thm)],[c_174660,c_2542]) ).
tcf(c_174736,plain,
! [X0: $i,X1: $i,X2: $i] : r1_tarski(k2_tarski(X0,k3_tarski(k2_tarski(X1,X2))),k1_zfmisc_1(k3_tarski(k2_enumset1(X1,X2,X0,X2)))),
inference(superposition,[status(thm)],[c_174660,c_2506]) ).
tcf(c_174737,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_tarski(X0,k3_tarski(k2_enumset1(X2,X3,X1,X3)))
| ~ r2_hidden(X0,k2_tarski(X1,k3_tarski(k2_tarski(X2,X3)))) ),
inference(superposition,[status(thm)],[c_174660,c_2513]) ).
tcf(c_174738,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : k3_tarski(k2_tarski(k3_tarski(X0),k3_tarski(k2_enumset1(X1,X2,X3,X2)))) = k3_tarski(k3_tarski(k2_tarski(X0,k2_tarski(X3,k3_tarski(k2_tarski(X1,X2)))))),
inference(superposition,[status(thm)],[c_174660,c_2509]) ).
tcf(c_174739,plain,
! [X0: $i,X1: $i,X2: $i] : k3_tarski(k2_enumset1(X0,X1,k3_tarski(X2),X1)) = k3_tarski(k3_tarski(k2_tarski(X2,k2_tarski(X0,X1)))),
inference(superposition,[status(thm)],[c_174660,c_2509]) ).
tcf(c_174740,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : k3_tarski(k2_enumset1(X0,X1,k2_tarski(X2,X3),X1)) != np__0,
inference(superposition,[status(thm)],[c_174660,c_2679]) ).
tcf(c_174741,plain,
! [X0: $i,X1: $i] : k3_tarski(k2_enumset1(X0,X1,np__0,X1)) = k3_tarski(k2_tarski(X0,X1)),
inference(superposition,[status(thm)],[c_174660,c_162072]) ).
tcf(c_174742,plain,
! [X0: $i,X1: $i,X2: $i] : ~ r2_hidden(k3_tarski(k2_tarski(X0,k3_tarski(k2_tarski(X1,X2)))),k1_setfam_1(k2_enumset1(X1,X2,X0,X2))),
inference(superposition,[status(thm)],[c_174660,c_167159]) ).
tcf(c_174743,plain,
! [X0: $i,X1: $i,X2: $i] : ~ r2_hidden(k1_zfmisc_1(k3_tarski(k2_tarski(X0,k3_tarski(k2_tarski(X1,X2))))),k2_enumset1(X1,X2,X0,X2)),
inference(superposition,[status(thm)],[c_174660,c_167158]) ).
tcf(c_174744,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_ordinal1(k3_tarski(k2_tarski(X2,k3_tarski(k2_tarski(X0,X1)))))
| ~ v1_xboole_0(k2_enumset1(X0,X1,X2,X1)) ),
inference(superposition,[status(thm)],[c_174660,c_164233]) ).
tcf(c_174745,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_membered(k3_tarski(k2_tarski(X2,k3_tarski(k2_tarski(X0,X1)))))
| ~ v1_xboole_0(k2_enumset1(X0,X1,X2,X1)) ),
inference(superposition,[status(thm)],[c_174660,c_163434]) ).
tcf(c_174746,plain,
! [X0: $i,X1: $i,X2: $i] :
( v2_membered(k3_tarski(k2_tarski(X2,k3_tarski(k2_tarski(X0,X1)))))
| ~ v1_xboole_0(k2_enumset1(X0,X1,X2,X1)) ),
inference(superposition,[status(thm)],[c_174660,c_163150]) ).
tcf(c_174747,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_membered(k3_tarski(k2_tarski(X2,k3_tarski(k2_tarski(X0,X1)))))
| ~ v1_xboole_0(k2_enumset1(X0,X1,X2,X1)) ),
inference(superposition,[status(thm)],[c_174660,c_162596]) ).
tcf(c_174748,plain,
! [X0: $i,X1: $i,X2: $i] :
( v4_membered(k3_tarski(k2_tarski(X2,k3_tarski(k2_tarski(X0,X1)))))
| ~ v1_xboole_0(k2_enumset1(X0,X1,X2,X1)) ),
inference(superposition,[status(thm)],[c_174660,c_162258]) ).
tcf(c_174749,plain,
! [X0: $i,X1: $i,X2: $i] :
( v5_membered(k3_tarski(k2_tarski(X2,k3_tarski(k2_tarski(X0,X1)))))
| ~ v1_xboole_0(k2_enumset1(X0,X1,X2,X1)) ),
inference(superposition,[status(thm)],[c_174660,c_161606]) ).
tcf(c_174750,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : k3_tarski(k2_tarski(k3_tarski(k2_tarski(X0,k3_tarski(k2_tarski(X1,X2)))),k3_tarski(X3))) = k3_tarski(k3_tarski(k2_tarski(k2_enumset1(X1,X2,X0,X2),X3))),
inference(superposition,[status(thm)],[c_174660,c_2509]) ).
tcf(c_174751,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_ordinal1(k3_tarski(k2_tarski(X2,k3_tarski(k2_tarski(X0,X1)))))
| ~ v3_ordinal1(k2_enumset1(X0,X1,X2,X1)) ),
inference(superposition,[status(thm)],[c_174660,c_2504]) ).
tcf(c_174752,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_finset_1(k2_enumset1(X1,X2,X0,X2))
| ~ v1_finset_1(k3_tarski(k2_tarski(X0,k3_tarski(k2_tarski(X1,X2))))) ),
inference(superposition,[status(thm)],[c_174660,c_2497]) ).
tcf(c_174753,plain,
! [X0: $i,X1: $i,X2: $i] : r1_tarski(k1_setfam_1(k2_enumset1(X0,X1,X2,X1)),k3_tarski(k2_tarski(X2,k3_tarski(k2_tarski(X0,X1))))),
inference(superposition,[status(thm)],[c_174660,c_2542]) ).
tcf(c_174754,plain,
! [X0: $i,X1: $i,X2: $i] : r1_tarski(k2_enumset1(X0,X1,X2,X1),k1_zfmisc_1(k3_tarski(k2_tarski(X2,k3_tarski(k2_tarski(X0,X1)))))),
inference(superposition,[status(thm)],[c_174660,c_2506]) ).
tcf(c_174755,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_tarski(X0,k3_tarski(k2_tarski(X3,k3_tarski(k2_tarski(X1,X2)))))
| ~ r2_hidden(X0,k2_enumset1(X1,X2,X3,X2)) ),
inference(superposition,[status(thm)],[c_174660,c_2513]) ).
tcf(c_174756,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : k3_tarski(k2_tarski(k3_tarski(X0),k3_tarski(k2_tarski(X1,k3_tarski(k2_tarski(X2,X3)))))) = k3_tarski(k3_tarski(k2_tarski(X0,k2_enumset1(X2,X3,X1,X3)))),
inference(superposition,[status(thm)],[c_174660,c_2509]) ).
tcf(c_174760,plain,
! [X0: $i,X1: $i] : k3_tarski(k2_tarski(X0,X1)) = k3_tarski(k2_tarski(X1,X0)),
inference(light_normalisation,[status(thm)],[c_174671,c_166049]) ).
tcf(c_174839,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(sK46(X1,X0))
| ( X1 = np__0 )
| ~ v1_relat_1(sK46(X1,X0))
| ~ v1_xboole_0(k2_tarski(X0,X0)) ),
inference(superposition,[status(thm)],[c_51182,c_746]) ).
tcf(c_174841,plain,
! [X0: $i] :
( v1_xboole_0(k6_partfun1(X0))
| ~ v1_xboole_0(X0)
| ~ v1_relat_1(k6_partfun1(X0)) ),
inference(superposition,[status(thm)],[c_2204,c_746]) ).
tcf(c_174842,plain,
! [X0: $i] :
( v1_xboole_0(k6_partfun1(X0))
| ~ v1_xboole_0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_174841,c_2184]) ).
tcf(c_174856,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(sK115(X0,X1))
| ( X0 = np__0 )
| ~ v1_xboole_0(X1)
| ~ v1_relat_1(sK115(X0,X1)) ),
inference(superposition,[status(thm)],[c_718,c_752]) ).
tcf(c_174857,plain,
! [X0: $i] :
( v1_xboole_0(sK115(X0,np__0))
| ~ v1_xboole_0(np__0)
| ~ v1_relat_1(sK115(X0,np__0)) ),
inference(superposition,[status(thm)],[c_722,c_752]) ).
tcf(c_174860,plain,
! [X0: $i] : v1_xboole_0(sK115(X0,np__0)),
inference(forward_subsumption_resolution,[status(thm)],[c_174857,c_3240,c_724]) ).
tcf(c_174870,plain,
~ r2_hidden(k1_numbers,sK92(k1_numbers)),
inference(superposition,[status(thm)],[c_174625,c_631]) ).
tcf(c_174872,plain,
m1_subset_1(sK92(k1_numbers),k1_numbers),
inference(superposition,[status(thm)],[c_174625,c_626]) ).
tcf(c_174874,plain,
v1_xreal_0(sK92(k1_numbers)),
inference(superposition,[status(thm)],[c_174625,c_2743]) ).
tcf(c_174875,plain,
v1_xcmplx_0(sK92(k1_numbers)),
inference(superposition,[status(thm)],[c_174874,c_2750]) ).
tcf(c_174876,plain,
! [X0: $i] : v4_finsub_1(sK115(X0,np__0)),
inference(superposition,[status(thm)],[c_174860,c_161211]) ).
tcf(c_174877,plain,
! [X0: $i] : v3_ordinal1(sK115(X0,np__0)),
inference(superposition,[status(thm)],[c_174860,c_161210]) ).
tcf(c_174878,plain,
! [X0: $i] : sK115(X0,np__0) = np__0,
inference(superposition,[status(thm)],[c_174860,c_600]) ).
tcf(c_174879,plain,
! [X0: $i] : v2_funct_1(sK115(X0,np__0)),
inference(superposition,[status(thm)],[c_174860,c_6810]) ).
tcf(c_174880,plain,
! [X0: $i] : v1_realset1(sK115(X0,np__0)),
inference(superposition,[status(thm)],[c_174860,c_2002]) ).
tcf(c_174881,plain,
! [X0: $i] : v1_finset_1(sK115(X0,np__0)),
inference(superposition,[status(thm)],[c_174860,c_1700]) ).
tcf(c_174882,plain,
! [X0: $i] : v5_membered(sK115(X0,np__0)),
inference(superposition,[status(thm)],[c_174860,c_1393]) ).
tcf(c_174883,plain,
! [X0: $i] : v4_membered(sK115(X0,np__0)),
inference(superposition,[status(thm)],[c_174860,c_1392]) ).
tcf(c_174884,plain,
! [X0: $i] : v3_membered(sK115(X0,np__0)),
inference(superposition,[status(thm)],[c_174860,c_1391]) ).
tcf(c_174885,plain,
! [X0: $i] : v2_membered(sK115(X0,np__0)),
inference(superposition,[status(thm)],[c_174860,c_1390]) ).
tcf(c_174886,plain,
! [X0: $i] : v1_membered(sK115(X0,np__0)),
inference(superposition,[status(thm)],[c_174860,c_1389]) ).
tcf(c_174891,plain,
! [X0: $i] : r1_tarski(k2_relat_1(np__0),X0),
inference(demodulation,[status(thm)],[c_723,c_174878]) ).
tcf(c_174899,plain,
v5_membered(k2_relat_1(np__0)),
inference(demodulation,[status(thm)],[c_169863,c_174878]) ).
tcf(c_174903,plain,
v4_membered(k2_relat_1(np__0)),
inference(demodulation,[status(thm)],[c_170695,c_174878]) ).
tcf(c_174906,plain,
v3_membered(k2_relat_1(np__0)),
inference(demodulation,[status(thm)],[c_170995,c_174878]) ).
tcf(c_174908,plain,
v2_membered(k2_relat_1(np__0)),
inference(demodulation,[status(thm)],[c_171813,c_174878]) ).
tcf(c_174909,plain,
v1_membered(k2_relat_1(np__0)),
inference(demodulation,[status(thm)],[c_172075,c_174878]) ).
tcf(c_174947,plain,
! [X0: $i] : v3_relat_2(sK197(X0,sK94(X0,X0))),
inference(superposition,[status(thm)],[c_632,c_1135]) ).
tcf(c_174948,plain,
! [X0: $i] : v3_relat_2(sK197(X0,np__0)),
inference(superposition,[status(thm)],[c_686,c_1135]) ).
tcf(c_174949,plain,
! [X0: $i] : v3_relat_2(sK197(X0,k6_partfun1(X0))),
inference(superposition,[status(thm)],[c_3499,c_1135]) ).
tcf(c_174950,plain,
! [X0: $i] :
( v3_relat_2(sK197(k5_numbers,X0))
| ~ m2_finseq_1(X0,k5_numbers) ),
inference(superposition,[status(thm)],[c_3329,c_1135]) ).
tcf(c_174961,plain,
! [X0: $i] : v8_relat_2(sK197(X0,sK94(X0,X0))),
inference(superposition,[status(thm)],[c_632,c_1136]) ).
tcf(c_174962,plain,
! [X0: $i] : v8_relat_2(sK197(X0,np__0)),
inference(superposition,[status(thm)],[c_686,c_1136]) ).
tcf(c_174963,plain,
! [X0: $i] : v8_relat_2(sK197(X0,k6_partfun1(X0))),
inference(superposition,[status(thm)],[c_3499,c_1136]) ).
tcf(c_174964,plain,
! [X0: $i] :
( v8_relat_2(sK197(k5_numbers,X0))
| ~ m2_finseq_1(X0,k5_numbers) ),
inference(superposition,[status(thm)],[c_3329,c_1136]) ).
tcf(c_174977,plain,
! [X0: $i,X1: $i] :
( v5_membered(X0)
| ~ v5_membered(X1)
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_167498,c_1335]) ).
tcf(c_174978,plain,
! [X0: $i,X1: $i] :
( v5_membered(X0)
| ~ v5_membered(k3_tarski(k2_tarski(X0,X1))) ),
inference(superposition,[status(thm)],[c_497,c_1335]) ).
tcf(c_174979,plain,
! [X0: $i,X1: $i] :
( v5_membered(k1_zfmisc_1(X0))
| ~ v5_membered(k1_zfmisc_1(X1))
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_559,c_1335]) ).
tcf(c_174983,plain,
! [X0: $i] :
( v5_membered(X0)
| ~ v5_membered(k4_numbers)
| ~ v4_membered(X0) ),
inference(superposition,[status(thm)],[c_1432,c_1335]) ).
tcf(c_174984,plain,
! [X0: $i] :
( v5_membered(X0)
| ~ v5_membered(k3_numbers)
| ~ v3_membered(X0) ),
inference(superposition,[status(thm)],[c_1485,c_1335]) ).
tcf(c_174985,plain,
! [X0: $i] :
( v5_membered(X0)
| ~ v5_membered(k1_numbers)
| ~ v2_membered(X0) ),
inference(superposition,[status(thm)],[c_1532,c_1335]) ).
tcf(c_174986,plain,
! [X0: $i] :
( v5_membered(k5_finsub_1(X0))
| ~ v5_membered(k1_zfmisc_1(X0)) ),
inference(superposition,[status(thm)],[c_1653,c_1335]) ).
tcf(c_174988,plain,
! [X0: $i,X1: $i] :
( v5_membered(k7_relat_1(X0,X1))
| ~ v5_membered(X0)
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_2067,c_1335]) ).
tcf(c_174989,plain,
! [X0: $i] :
( v5_membered(k6_partfun1(X0))
| ~ v5_membered(k2_zfmisc_1(X0,X0)) ),
inference(superposition,[status(thm)],[c_2163,c_1335]) ).
tcf(c_174992,plain,
! [X0: $i] :
( v5_membered(k1_relat_1(X0))
| ~ v1_relat_1(X0)
| ~ v5_membered(k3_relat_1(X0)) ),
inference(superposition,[status(thm)],[c_2309,c_1335]) ).
tcf(c_174993,plain,
! [X0: $i] :
( v5_membered(k2_relat_1(X0))
| ~ v1_relat_1(X0)
| ~ v5_membered(k3_relat_1(X0)) ),
inference(superposition,[status(thm)],[c_2310,c_1335]) ).
tcf(c_174994,plain,
! [X0: $i,X1: $i] :
( v5_membered(X0)
| ~ v5_membered(k3_tarski(X1))
| ~ r2_hidden(X0,X1) ),
inference(superposition,[status(thm)],[c_2513,c_1335]) ).
tcf(c_174995,plain,
! [X0: $i] :
( v5_membered(X0)
| ~ v5_membered(k1_zfmisc_1(k3_tarski(X0))) ),
inference(superposition,[status(thm)],[c_2506,c_1335]) ).
tcf(c_174997,plain,
! [X0: $i] :
( v5_membered(k1_setfam_1(X0))
| ~ v5_membered(k3_tarski(X0)) ),
inference(superposition,[status(thm)],[c_2542,c_1335]) ).
tcf(c_174999,plain,
! [X0: $i,X1: $i] :
( v5_membered(k4_xboole_0(X0,X1))
| ~ v5_membered(k5_xboole_0(X0,X1)) ),
inference(superposition,[status(thm)],[c_2608,c_1335]) ).
tcf(c_175001,plain,
( v5_membered(k4_numbers)
| ~ v5_membered(k2_numbers) ),
inference(superposition,[status(thm)],[c_2730,c_1335]) ).
tcf(c_175002,plain,
( v5_membered(k4_numbers)
| ~ v5_membered(k1_numbers) ),
inference(superposition,[status(thm)],[c_2731,c_1335]) ).
tcf(c_175003,plain,
( v5_membered(k4_numbers)
| ~ v5_membered(k3_numbers) ),
inference(superposition,[status(thm)],[c_2732,c_1335]) ).
tcf(c_175005,plain,
( v5_membered(k3_numbers)
| ~ v5_membered(k2_numbers) ),
inference(superposition,[status(thm)],[c_2738,c_1335]) ).
tcf(c_175006,plain,
( v5_membered(k3_numbers)
| ~ v5_membered(k1_numbers) ),
inference(superposition,[status(thm)],[c_2739,c_1335]) ).
tcf(c_175007,plain,
! [X0: $i,X1: $i] :
( v5_membered(k8_relat_1(X1,X0))
| ~ v5_membered(X0)
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_3314,c_1335]) ).
tcf(c_175008,plain,
! [X0: $i] :
( v5_membered(X0)
| r2_hidden(sK550(X0),X0)
| ~ v5_membered(sK551(X0)) ),
inference(superposition,[status(thm)],[c_3506,c_1335]) ).
tcf(c_175009,plain,
! [X0: $i] :
( v5_membered(X0)
| ~ v3_ordinal1(sK550(X0))
| ~ v5_membered(sK551(X0)) ),
inference(superposition,[status(thm)],[c_3504,c_1335]) ).
tcf(c_175010,plain,
! [X0: $i] :
( v5_membered(X0)
| ~ v5_membered(k2_numbers)
| ~ v1_membered(X0) ),
inference(superposition,[status(thm)],[c_3640,c_1335]) ).
tcf(c_175012,plain,
( v5_membered(k1_numbers)
| ~ v5_membered(k2_numbers) ),
inference(superposition,[status(thm)],[c_3647,c_1335]) ).
tcf(c_175013,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| v5_membered(sK87(X0))
| ~ v5_membered(X0) ),
inference(superposition,[status(thm)],[c_167342,c_1335]) ).
tcf(c_175014,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| v5_membered(sK264(X0))
| ~ v5_membered(X0) ),
inference(superposition,[status(thm)],[c_167344,c_1335]) ).
tcf(c_175015,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| v5_membered(sK265(X0))
| ~ v5_membered(X0) ),
inference(superposition,[status(thm)],[c_167345,c_1335]) ).
tcf(c_175016,plain,
! [X0: $i,X1: $i] :
( v5_membered(k2_tarski(X0,X0))
| ~ v5_membered(k2_tarski(X0,X1)) ),
inference(superposition,[status(thm)],[c_47411,c_1335]) ).
tcf(c_175017,plain,
! [X0: $i,X1: $i] :
( v5_membered(k2_tarski(X1,X1))
| ~ v5_membered(k2_tarski(X0,X1)) ),
inference(superposition,[status(thm)],[c_47412,c_1335]) ).
tcf(c_175018,plain,
! [X0: $i] :
( v5_membered(k2_tarski(X0,X0))
| ~ v5_membered(k1_zfmisc_1(X0)) ),
inference(superposition,[status(thm)],[c_47413,c_1335]) ).
tcf(c_175020,plain,
! [X0: $i] :
( v5_membered(k2_tarski(X0,np__0))
| ~ v5_membered(k1_zfmisc_1(X0)) ),
inference(superposition,[status(thm)],[c_159660,c_1335]) ).
tcf(c_175021,plain,
! [X0: $i] :
( v5_membered(k1_setfam_1(k1_zfmisc_1(X0)))
| ~ v5_membered(X0) ),
inference(superposition,[status(thm)],[c_160376,c_1335]) ).
tcf(c_175023,plain,
! [X0: $i,X1: $i] :
( v5_membered(X1)
| ~ v5_membered(k3_tarski(k2_tarski(X0,X1))) ),
inference(superposition,[status(thm)],[c_162055,c_1335]) ).
tcf(c_175024,plain,
! [X0: $i] :
( v5_membered(k2_tarski(np__0,X0))
| ~ v5_membered(k1_zfmisc_1(X0)) ),
inference(superposition,[status(thm)],[c_162071,c_1335]) ).
tcf(c_175026,plain,
! [X0: $i] :
( v5_membered(k1_zfmisc_1(np__0))
| ~ v5_membered(k2_tarski(X0,np__0)) ),
inference(superposition,[status(thm)],[c_165498,c_1335]) ).
tcf(c_175027,plain,
! [X0: $i] :
( v5_membered(k1_zfmisc_1(np__0))
| ~ v5_membered(k2_tarski(np__0,X0)) ),
inference(superposition,[status(thm)],[c_165499,c_1335]) ).
tcf(c_175028,plain,
! [X0: $i] :
( v5_membered(sK52(k1_zfmisc_1(X0)))
| ~ v5_membered(X0) ),
inference(superposition,[status(thm)],[c_167340,c_1335]) ).
tcf(c_175029,plain,
! [X0: $i] :
( v5_membered(X0)
| ~ v5_membered(k3_relat_1(k6_partfun1(X0))) ),
inference(superposition,[status(thm)],[c_169238,c_1335]) ).
tcf(c_175030,plain,
( v5_membered(sK92(k1_zfmisc_1(u1_struct_0(sK39))))
| ~ v5_membered(u1_struct_0(sK39)) ),
inference(superposition,[status(thm)],[c_174648,c_1335]) ).
tcf(c_175152,plain,
( v3_membered(sK92(k1_zfmisc_1(u1_struct_0(sK39))))
| ~ v5_membered(u1_struct_0(sK39)) ),
inference(superposition,[status(thm)],[c_175030,c_161773]) ).
tcf(c_175153,plain,
( v2_membered(sK92(k1_zfmisc_1(u1_struct_0(sK39))))
| ~ v5_membered(u1_struct_0(sK39)) ),
inference(superposition,[status(thm)],[c_175030,c_161657]) ).
tcf(c_175154,plain,
( v1_membered(sK92(k1_zfmisc_1(u1_struct_0(sK39))))
| ~ v5_membered(u1_struct_0(sK39)) ),
inference(superposition,[status(thm)],[c_175030,c_161629]) ).
tcf(c_175155,plain,
( v4_membered(sK92(k1_zfmisc_1(u1_struct_0(sK39))))
| ~ v5_membered(u1_struct_0(sK39)) ),
inference(superposition,[status(thm)],[c_175030,c_1411]) ).
tcf(c_175198,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| ~ v5_membered(X0)
| ~ r2_hidden(X0,sK228(X0)) ),
inference(superposition,[status(thm)],[c_1339,c_631]) ).
tcf(c_175199,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| r2_hidden(sK92(X0),X0)
| ~ v5_membered(X0) ),
inference(superposition,[status(thm)],[c_1339,c_627]) ).
tcf(c_175200,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| m1_subset_1(sK228(X0),X0)
| ~ v5_membered(X0) ),
inference(superposition,[status(thm)],[c_1339,c_626]) ).
tcf(c_175202,plain,
! [X0: $i] :
( v1_xboole_0(k1_zfmisc_1(X0))
| r1_tarski(sK228(k1_zfmisc_1(X0)),X0)
| ~ v5_membered(k1_zfmisc_1(X0)) ),
inference(superposition,[status(thm)],[c_1339,c_563]) ).
tcf(c_175204,plain,
( v1_xboole_0(k4_numbers)
| v1_int_1(sK228(k4_numbers))
| ~ v5_membered(k4_numbers) ),
inference(superposition,[status(thm)],[c_1339,c_2722]) ).
tcf(c_175205,plain,
( v1_xboole_0(k1_numbers)
| v1_xreal_0(sK228(k1_numbers))
| ~ v5_membered(k1_numbers) ),
inference(superposition,[status(thm)],[c_1339,c_2743]) ).
tcf(c_175206,plain,
! [X0: $i] :
( v1_xboole_0(k5_finsub_1(X0))
| r1_tarski(sK228(k5_finsub_1(X0)),X0)
| ~ v5_membered(k5_finsub_1(X0)) ),
inference(superposition,[status(thm)],[c_1339,c_14776]) ).
tcf(c_175207,plain,
! [X0: $i] :
( v1_xboole_0(k5_finsub_1(X0))
| v1_finset_1(sK228(k5_finsub_1(X0)))
| ~ v5_membered(k5_finsub_1(X0)) ),
inference(superposition,[status(thm)],[c_1339,c_14774]) ).
tcf(c_175208,plain,
( v1_xreal_0(sK228(k1_numbers))
| ~ v5_membered(k1_numbers) ),
inference(forward_subsumption_resolution,[status(thm)],[c_175205,c_2745]) ).
tcf(c_175211,plain,
( v1_int_1(sK228(k4_numbers))
| ~ v5_membered(k4_numbers) ),
inference(forward_subsumption_resolution,[status(thm)],[c_175204,c_2733]) ).
tcf(c_175229,plain,
! [X0: $i] :
( r1_tarski(sK228(k1_zfmisc_1(X0)),X0)
| ~ v5_membered(k1_zfmisc_1(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_175202,c_595]) ).
tcf(c_175242,plain,
! [X0: $i,X1: $i] :
( v4_ordinal2(X0)
| ~ v5_membered(k1_zfmisc_1(X1))
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_562,c_1343]) ).
tcf(c_175243,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,X1)
| v4_ordinal2(sK82(X0,X1))
| ~ v5_membered(X0) ),
inference(superposition,[status(thm)],[c_572,c_1343]) ).
tcf(c_175244,plain,
! [X0: $i] :
( v4_ordinal2(sK114(X0))
| ( X0 = np__0 )
| ~ v5_membered(X0) ),
inference(superposition,[status(thm)],[c_697,c_1343]) ).
tcf(c_175245,plain,
! [X0: $i] :
( v4_ordinal2(sK127(X0))
| ( X0 = np__0 )
| ~ v5_membered(X0) ),
inference(superposition,[status(thm)],[c_758,c_1343]) ).
tcf(c_175246,plain,
! [X0: $i] :
( sP9(X0)
| v1_funct_1(X0)
| v4_ordinal2(sK133(X0))
| ~ v5_membered(X0) ),
inference(superposition,[status(thm)],[c_769,c_1343]) ).
tcf(c_175247,plain,
! [X0: $i] :
( sP9(X0)
| v1_relat_1(X0)
| v4_ordinal2(sK133(X0))
| ~ v5_membered(X0) ),
inference(superposition,[status(thm)],[c_767,c_1343]) ).
tcf(c_175248,plain,
! [X0: $i] :
( v1_relat_1(X0)
| v4_ordinal2(sK146(X0))
| ~ v5_membered(X0) ),
inference(superposition,[status(thm)],[c_787,c_1343]) ).
tcf(c_175249,plain,
! [X0: $i] :
( v4_ordinal2(sK223(X0))
| v5_membered(k3_tarski(X0))
| ~ v5_membered(X0) ),
inference(superposition,[status(thm)],[c_1321,c_1343]) ).
tcf(c_175252,plain,
! [X0: $i] :
( v4_ordinal2(sK231(X0))
| v4_membered(k3_tarski(X0))
| ~ v5_membered(X0) ),
inference(superposition,[status(thm)],[c_1413,c_1343]) ).
tcf(c_175253,plain,
! [X0: $i] :
( v4_membered(X0)
| v4_ordinal2(sK237(X0))
| ~ v5_membered(X0) ),
inference(superposition,[status(thm)],[c_1434,c_1343]) ).
tcf(c_175254,plain,
! [X0: $i] :
( v4_ordinal2(sK238(X0))
| v3_membered(k3_tarski(X0))
| ~ v5_membered(X0) ),
inference(superposition,[status(thm)],[c_1483,c_1343]) ).
tcf(c_175255,plain,
! [X0: $i] :
( v4_ordinal2(sK239(X0))
| v2_membered(k3_tarski(X0))
| ~ v5_membered(X0) ),
inference(superposition,[status(thm)],[c_1513,c_1343]) ).
tcf(c_175256,plain,
! [X0: $i] :
( v2_membered(X0)
| v4_ordinal2(sK245(X0))
| ~ v5_membered(X0) ),
inference(superposition,[status(thm)],[c_1534,c_1343]) ).
tcf(c_175257,plain,
! [X0: $i] :
( v4_ordinal2(sK246(X0))
| v1_membered(k3_tarski(X0))
| ~ v5_membered(X0) ),
inference(superposition,[status(thm)],[c_1559,c_1343]) ).
tcf(c_175258,plain,
! [X0: $i] :
( v1_membered(X0)
| v4_ordinal2(sK251(X0))
| ~ v5_membered(X0) ),
inference(superposition,[status(thm)],[c_1577,c_1343]) ).
tcf(c_175259,plain,
! [X0: $i] :
( v1_realset1(X0)
| v4_ordinal2(sK315(X0))
| ~ v5_membered(X0) ),
inference(superposition,[status(thm)],[c_1986,c_1343]) ).
tcf(c_175260,plain,
! [X0: $i] :
( v1_realset1(X0)
| v4_ordinal2(sK316(X0))
| ~ v5_membered(X0) ),
inference(superposition,[status(thm)],[c_1987,c_1343]) ).
tcf(c_175261,plain,
! [X0: $i] :
( v4_ordinal2(sK381(X0))
| ( X0 = np__0 )
| ~ v5_membered(X0) ),
inference(superposition,[status(thm)],[c_2399,c_1343]) ).
tcf(c_175262,plain,
! [X0: $i] :
( v4_ordinal2(sK382(X0))
| ( X0 = np__0 )
| ~ v5_membered(X0) ),
inference(superposition,[status(thm)],[c_2401,c_1343]) ).
tcf(c_175263,plain,
! [X0: $i] :
( v4_ordinal2(sK383(X0))
| ( X0 = np__0 )
| ~ v5_membered(X0) ),
inference(superposition,[status(thm)],[c_2403,c_1343]) ).
tcf(c_175264,plain,
! [X0: $i] :
( v4_ordinal2(sK384(X0))
| ( X0 = np__0 )
| ~ v5_membered(X0) ),
inference(superposition,[status(thm)],[c_2405,c_1343]) ).
tcf(c_175265,plain,
! [X0: $i] :
( v4_ordinal2(sK385(X0))
| ( X0 = np__0 )
| ~ v5_membered(X0) ),
inference(superposition,[status(thm)],[c_2407,c_1343]) ).
tcf(c_175266,plain,
! [X0: $i] :
( v4_ordinal2(sK386(X0))
| ( X0 = np__0 )
| ~ v5_membered(X0) ),
inference(superposition,[status(thm)],[c_2409,c_1343]) ).
tcf(c_175267,plain,
! [X0: $i,X1: $i] :
( r1_xboole_0(X0,X1)
| v4_ordinal2(sK392(X0,X1))
| ~ v5_membered(X0) ),
inference(superposition,[status(thm)],[c_2475,c_1343]) ).
tcf(c_175268,plain,
! [X0: $i,X1: $i] :
( r1_xboole_0(X1,X0)
| v4_ordinal2(sK392(X1,X0))
| ~ v5_membered(X0) ),
inference(superposition,[status(thm)],[c_2476,c_1343]) ).
tcf(c_175269,plain,
! [X0: $i] :
( v3_ordinal1(k3_tarski(X0))
| v4_ordinal2(sK395(X0))
| ~ v5_membered(X0) ),
inference(superposition,[status(thm)],[c_2503,c_1343]) ).
tcf(c_175270,plain,
! [X0: $i] :
( v3_ordinal1(k1_setfam_1(X0))
| v4_ordinal2(sK400(X0))
| ~ v5_membered(X0) ),
inference(superposition,[status(thm)],[c_2531,c_1343]) ).
tcf(c_175271,plain,
! [X0: $i] :
( v4_ordinal2(np__0)
| v1_xboole_0(X0)
| ~ v4_finsub_1(X0)
| ~ v5_membered(X0) ),
inference(superposition,[status(thm)],[c_3600,c_1343]) ).
tcf(c_175272,plain,
! [X0: $i,X1: $i] :
( v4_ordinal2(X0)
| ~ v5_membered(k2_tarski(X0,X1)) ),
inference(superposition,[status(thm)],[c_2711,c_1343]) ).
tcf(c_175273,plain,
! [X0: $i,X1: $i] :
( v4_ordinal2(X1)
| ~ v5_membered(k2_tarski(X0,X1)) ),
inference(superposition,[status(thm)],[c_2712,c_1343]) ).
tcf(c_175274,plain,
! [X0: $i] :
( v4_ordinal2(X0)
| ~ v5_membered(k4_numbers)
| ~ v1_int_1(X0) ),
inference(superposition,[status(thm)],[c_2723,c_1343]) ).
tcf(c_175275,plain,
! [X0: $i] :
( v4_ordinal2(X0)
| ~ v5_membered(k1_numbers)
| ~ v1_xreal_0(X0) ),
inference(superposition,[status(thm)],[c_2744,c_1343]) ).
tcf(c_175276,plain,
! [X0: $i] :
( v4_ordinal2(k1_card_1(X0))
| ~ v5_membered(k1_card_1(k1_zfmisc_1(X0))) ),
inference(superposition,[status(thm)],[c_2813,c_1343]) ).
tcf(c_175277,plain,
! [X0: $i] :
( v3_ordinal1(sK549(X0))
| v4_ordinal2(sK549(X0))
| ~ v5_membered(X0) ),
inference(superposition,[status(thm)],[c_3503,c_1343]) ).
tcf(c_175278,plain,
! [X0: $i] :
( v3_ordinal1(sK551(X0))
| v4_ordinal2(sK550(X0))
| ~ v5_membered(X0) ),
inference(superposition,[status(thm)],[c_3507,c_1343]) ).
tcf(c_175279,plain,
! [X0: $i] :
( v3_ordinal1(X0)
| v4_ordinal2(sK552(X0))
| ~ v5_membered(X0) ),
inference(superposition,[status(thm)],[c_3509,c_1343]) ).
tcf(c_175280,plain,
! [X0: $i] :
( v4_finsub_1(X0)
| v4_ordinal2(sK558(X0))
| ~ v5_membered(X0) ),
inference(superposition,[status(thm)],[c_3603,c_1343]) ).
tcf(c_175281,plain,
! [X0: $i] :
( v4_finsub_1(X0)
| v4_ordinal2(sK559(X0))
| ~ v5_membered(X0) ),
inference(superposition,[status(thm)],[c_3604,c_1343]) ).
tcf(c_175282,plain,
! [X0: $i,X1: $i] :
( v4_ordinal2(X1)
| ~ v5_membered(k3_tarski(k2_tarski(X0,k2_tarski(X1,X1)))) ),
inference(superposition,[status(thm)],[c_47393,c_1343]) ).
tcf(c_175286,plain,
( v4_ordinal2(np__0)
| ~ v5_membered(k1_card_1(k1_zfmisc_1(np__0))) ),
inference(superposition,[status(thm)],[c_160622,c_1343]) ).
tcf(c_175287,plain,
! [X0: $i] :
( v4_finsub_1(X0)
| v4_ordinal2(sK92(X0))
| ~ v5_membered(X0) ),
inference(superposition,[status(thm)],[c_167549,c_1343]) ).
tcf(c_175288,plain,
! [X0: $i] :
( v3_ordinal1(X0)
| v4_ordinal2(sK92(X0))
| ~ v5_membered(X0) ),
inference(superposition,[status(thm)],[c_167548,c_1343]) ).
tcf(c_175289,plain,
! [X0: $i] :
( v1_realset1(X0)
| v4_ordinal2(sK92(X0))
| ~ v5_membered(X0) ),
inference(superposition,[status(thm)],[c_167537,c_1343]) ).
tcf(c_175290,plain,
! [X0: $i] :
( v1_membered(X0)
| v4_ordinal2(sK92(X0))
| ~ v5_membered(X0) ),
inference(superposition,[status(thm)],[c_167536,c_1343]) ).
tcf(c_175291,plain,
! [X0: $i] :
( v2_membered(X0)
| v4_ordinal2(sK92(X0))
| ~ v5_membered(X0) ),
inference(superposition,[status(thm)],[c_167534,c_1343]) ).
tcf(c_175292,plain,
! [X0: $i] :
( v4_membered(X0)
| v4_ordinal2(sK92(X0))
| ~ v5_membered(X0) ),
inference(superposition,[status(thm)],[c_167531,c_1343]) ).
tcf(c_175294,plain,
! [X0: $i] :
( v1_relat_1(X0)
| v4_ordinal2(sK92(X0))
| ~ v5_membered(X0) ),
inference(superposition,[status(thm)],[c_167527,c_1343]) ).
tcf(c_175295,plain,
( v4_ordinal2(sK92(k1_numbers))
| ~ v5_membered(k1_numbers) ),
inference(superposition,[status(thm)],[c_174625,c_1343]) ).
tcf(c_175296,plain,
! [X0: $i] :
( v4_ordinal2(np__0)
| ~ v5_membered(k1_zfmisc_1(X0)) ),
inference(superposition,[status(thm)],[c_174278,c_1343]) ).
tcf(c_175297,plain,
( v4_ordinal2(k5_numbers)
| ~ v5_membered(k1_zfmisc_1(k1_numbers)) ),
inference(superposition,[status(thm)],[c_174277,c_1343]) ).
tcf(c_175298,plain,
( v4_ordinal2(sK416)
| ~ v5_membered(k1_numbers) ),
inference(superposition,[status(thm)],[c_174272,c_1343]) ).
tcf(c_175299,plain,
( v4_ordinal2(u1_struct_0(sK39))
| ~ v5_membered(k1_zfmisc_1(u1_struct_0(sK39))) ),
inference(superposition,[status(thm)],[c_174327,c_1343]) ).
tcf(c_175300,plain,
( v4_ordinal2(sK92(k1_zfmisc_1(u1_struct_0(sK39))))
| ~ v5_membered(k1_zfmisc_1(u1_struct_0(sK39))) ),
inference(superposition,[status(thm)],[c_174640,c_1343]) ).
tcf(c_175481,plain,
! [X0: $i,X1: $i] :
( v4_membered(X0)
| ~ v4_membered(X1)
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_167498,c_1427]) ).
tcf(c_175482,plain,
! [X0: $i,X1: $i] :
( v4_membered(X0)
| ~ v4_membered(k3_tarski(k2_tarski(X0,X1))) ),
inference(superposition,[status(thm)],[c_497,c_1427]) ).
tcf(c_175483,plain,
! [X0: $i,X1: $i] :
( v4_membered(k1_zfmisc_1(X0))
| ~ v4_membered(k1_zfmisc_1(X1))
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_559,c_1427]) ).
tcf(c_175486,plain,
! [X0: $i] :
( v4_membered(X0)
| ~ v4_membered(k5_numbers)
| ~ v5_membered(X0) ),
inference(superposition,[status(thm)],[c_1340,c_1427]) ).
tcf(c_175488,plain,
! [X0: $i] :
( v4_membered(X0)
| ~ v4_membered(k3_numbers)
| ~ v3_membered(X0) ),
inference(superposition,[status(thm)],[c_1485,c_1427]) ).
tcf(c_175489,plain,
! [X0: $i] :
( v4_membered(X0)
| ~ v4_membered(k1_numbers)
| ~ v2_membered(X0) ),
inference(superposition,[status(thm)],[c_1532,c_1427]) ).
tcf(c_175490,plain,
! [X0: $i] :
( v4_membered(k5_finsub_1(X0))
| ~ v4_membered(k1_zfmisc_1(X0)) ),
inference(superposition,[status(thm)],[c_1653,c_1427]) ).
tcf(c_175492,plain,
! [X0: $i,X1: $i] :
( v4_membered(k7_relat_1(X0,X1))
| ~ v4_membered(X0)
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_2067,c_1427]) ).
tcf(c_175493,plain,
! [X0: $i] :
( v4_membered(k6_partfun1(X0))
| ~ v4_membered(k2_zfmisc_1(X0,X0)) ),
inference(superposition,[status(thm)],[c_2163,c_1427]) ).
tcf(c_175496,plain,
! [X0: $i] :
( v4_membered(k1_relat_1(X0))
| ~ v1_relat_1(X0)
| ~ v4_membered(k3_relat_1(X0)) ),
inference(superposition,[status(thm)],[c_2309,c_1427]) ).
tcf(c_175497,plain,
! [X0: $i] :
( v4_membered(k2_relat_1(X0))
| ~ v1_relat_1(X0)
| ~ v4_membered(k3_relat_1(X0)) ),
inference(superposition,[status(thm)],[c_2310,c_1427]) ).
tcf(c_175498,plain,
! [X0: $i,X1: $i] :
( v4_membered(X0)
| ~ v4_membered(k3_tarski(X1))
| ~ r2_hidden(X0,X1) ),
inference(superposition,[status(thm)],[c_2513,c_1427]) ).
tcf(c_175499,plain,
! [X0: $i] :
( v4_membered(X0)
| ~ v4_membered(k1_zfmisc_1(k3_tarski(X0))) ),
inference(superposition,[status(thm)],[c_2506,c_1427]) ).
tcf(c_175501,plain,
! [X0: $i] :
( v4_membered(k1_setfam_1(X0))
| ~ v4_membered(k3_tarski(X0)) ),
inference(superposition,[status(thm)],[c_2542,c_1427]) ).
tcf(c_175503,plain,
! [X0: $i,X1: $i] :
( v4_membered(k4_xboole_0(X0,X1))
| ~ v4_membered(k5_xboole_0(X0,X1)) ),
inference(superposition,[status(thm)],[c_2608,c_1427]) ).
tcf(c_175509,plain,
( v4_membered(k3_numbers)
| ~ v4_membered(k2_numbers) ),
inference(superposition,[status(thm)],[c_2738,c_1427]) ).
tcf(c_175510,plain,
( v4_membered(k3_numbers)
| ~ v4_membered(k1_numbers) ),
inference(superposition,[status(thm)],[c_2739,c_1427]) ).
tcf(c_175511,plain,
! [X0: $i,X1: $i] :
( v4_membered(k8_relat_1(X1,X0))
| ~ v4_membered(X0)
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_3314,c_1427]) ).
tcf(c_175512,plain,
! [X0: $i] :
( v4_membered(X0)
| r2_hidden(sK550(X0),X0)
| ~ v4_membered(sK551(X0)) ),
inference(superposition,[status(thm)],[c_3506,c_1427]) ).
tcf(c_175513,plain,
! [X0: $i] :
( v4_membered(X0)
| ~ v3_ordinal1(sK550(X0))
| ~ v4_membered(sK551(X0)) ),
inference(superposition,[status(thm)],[c_3504,c_1427]) ).
tcf(c_175514,plain,
! [X0: $i] :
( v4_membered(X0)
| ~ v4_membered(k2_numbers)
| ~ v1_membered(X0) ),
inference(superposition,[status(thm)],[c_3640,c_1427]) ).
tcf(c_175516,plain,
( v4_membered(k1_numbers)
| ~ v4_membered(k2_numbers) ),
inference(superposition,[status(thm)],[c_3647,c_1427]) ).
tcf(c_175517,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| v4_membered(sK87(X0))
| ~ v4_membered(X0) ),
inference(superposition,[status(thm)],[c_167342,c_1427]) ).
tcf(c_175518,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| v4_membered(sK264(X0))
| ~ v4_membered(X0) ),
inference(superposition,[status(thm)],[c_167344,c_1427]) ).
tcf(c_175519,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| v4_membered(sK265(X0))
| ~ v4_membered(X0) ),
inference(superposition,[status(thm)],[c_167345,c_1427]) ).
tcf(c_175520,plain,
! [X0: $i,X1: $i] :
( v4_membered(k2_tarski(X0,X0))
| ~ v4_membered(k2_tarski(X0,X1)) ),
inference(superposition,[status(thm)],[c_47411,c_1427]) ).
tcf(c_175521,plain,
! [X0: $i,X1: $i] :
( v4_membered(k2_tarski(X1,X1))
| ~ v4_membered(k2_tarski(X0,X1)) ),
inference(superposition,[status(thm)],[c_47412,c_1427]) ).
tcf(c_175522,plain,
! [X0: $i] :
( v4_membered(k2_tarski(X0,X0))
| ~ v4_membered(k1_zfmisc_1(X0)) ),
inference(superposition,[status(thm)],[c_47413,c_1427]) ).
tcf(c_175524,plain,
! [X0: $i] :
( v4_membered(k2_tarski(X0,np__0))
| ~ v4_membered(k1_zfmisc_1(X0)) ),
inference(superposition,[status(thm)],[c_159660,c_1427]) ).
tcf(c_175525,plain,
! [X0: $i] :
( v4_membered(k1_setfam_1(k1_zfmisc_1(X0)))
| ~ v4_membered(X0) ),
inference(superposition,[status(thm)],[c_160376,c_1427]) ).
tcf(c_175527,plain,
! [X0: $i,X1: $i] :
( v4_membered(X1)
| ~ v4_membered(k3_tarski(k2_tarski(X0,X1))) ),
inference(superposition,[status(thm)],[c_162055,c_1427]) ).
tcf(c_175528,plain,
! [X0: $i] :
( v4_membered(k2_tarski(np__0,X0))
| ~ v4_membered(k1_zfmisc_1(X0)) ),
inference(superposition,[status(thm)],[c_162071,c_1427]) ).
tcf(c_175530,plain,
! [X0: $i] :
( v4_membered(k1_zfmisc_1(np__0))
| ~ v4_membered(k2_tarski(X0,np__0)) ),
inference(superposition,[status(thm)],[c_165498,c_1427]) ).
tcf(c_175531,plain,
! [X0: $i] :
( v4_membered(k1_zfmisc_1(np__0))
| ~ v4_membered(k2_tarski(np__0,X0)) ),
inference(superposition,[status(thm)],[c_165499,c_1427]) ).
tcf(c_175532,plain,
! [X0: $i] :
( v4_membered(sK52(k1_zfmisc_1(X0)))
| ~ v4_membered(X0) ),
inference(superposition,[status(thm)],[c_167340,c_1427]) ).
tcf(c_175533,plain,
! [X0: $i] :
( v4_membered(X0)
| ~ v4_membered(k3_relat_1(k6_partfun1(X0))) ),
inference(superposition,[status(thm)],[c_169238,c_1427]) ).
tcf(c_175534,plain,
( v4_membered(sK92(k1_zfmisc_1(u1_struct_0(sK39))))
| ~ v4_membered(u1_struct_0(sK39)) ),
inference(superposition,[status(thm)],[c_174648,c_1427]) ).
tcf(c_175647,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| v4_ordinal2(sK236(X0))
| ~ v5_membered(X0)
| ~ v4_membered(X0) ),
inference(superposition,[status(thm)],[c_1431,c_1343]) ).
tcf(c_175648,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| ~ v4_membered(X0)
| ~ r2_hidden(X0,sK236(X0)) ),
inference(superposition,[status(thm)],[c_1431,c_631]) ).
tcf(c_175649,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| r2_hidden(sK92(X0),X0)
| ~ v4_membered(X0) ),
inference(superposition,[status(thm)],[c_1431,c_627]) ).
tcf(c_175650,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| m1_subset_1(sK236(X0),X0)
| ~ v4_membered(X0) ),
inference(superposition,[status(thm)],[c_1431,c_626]) ).
tcf(c_175652,plain,
! [X0: $i] :
( v1_xboole_0(k1_zfmisc_1(X0))
| r1_tarski(sK236(k1_zfmisc_1(X0)),X0)
| ~ v4_membered(k1_zfmisc_1(X0)) ),
inference(superposition,[status(thm)],[c_1431,c_563]) ).
tcf(c_175654,plain,
( v1_xboole_0(k4_numbers)
| v1_int_1(sK236(k4_numbers))
| ~ v4_membered(k4_numbers) ),
inference(superposition,[status(thm)],[c_1431,c_2722]) ).
tcf(c_175655,plain,
( v1_xboole_0(k1_numbers)
| v1_xreal_0(sK236(k1_numbers))
| ~ v4_membered(k1_numbers) ),
inference(superposition,[status(thm)],[c_1431,c_2743]) ).
tcf(c_175656,plain,
! [X0: $i] :
( v1_xboole_0(k5_finsub_1(X0))
| r1_tarski(sK236(k5_finsub_1(X0)),X0)
| ~ v4_membered(k5_finsub_1(X0)) ),
inference(superposition,[status(thm)],[c_1431,c_14776]) ).
tcf(c_175657,plain,
! [X0: $i] :
( v1_xboole_0(k5_finsub_1(X0))
| v1_finset_1(sK236(k5_finsub_1(X0)))
| ~ v4_membered(k5_finsub_1(X0)) ),
inference(superposition,[status(thm)],[c_1431,c_14774]) ).
tcf(c_175658,plain,
( v1_xreal_0(sK236(k1_numbers))
| ~ v4_membered(k1_numbers) ),
inference(forward_subsumption_resolution,[status(thm)],[c_175655,c_2745]) ).
tcf(c_175661,plain,
v1_int_1(sK236(k4_numbers)),
inference(forward_subsumption_resolution,[status(thm)],[c_175654,c_2733,c_1476]) ).
tcf(c_175681,plain,
! [X0: $i] :
( r1_tarski(sK236(k1_zfmisc_1(X0)),X0)
| ~ v4_membered(k1_zfmisc_1(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_175652,c_595]) ).
tcf(c_175687,plain,
v1_xreal_0(sK236(k4_numbers)),
inference(superposition,[status(thm)],[c_175661,c_2716]) ).
tcf(c_175688,plain,
v1_xcmplx_0(sK236(k4_numbers)),
inference(superposition,[status(thm)],[c_175661,c_2715]) ).
tcf(c_175690,plain,
v3_relat_2(sK197(np__0,np__0)),
inference(superposition,[status(thm)],[c_2188,c_174949]) ).
tcf(c_175691,plain,
! [X0: $i,X1: $i] : v3_relat_2(sK197(k1_setfam_1(k2_tarski(X0,X1)),k5_relat_1(k6_partfun1(X0),k6_partfun1(X1)))),
inference(superposition,[status(thm)],[c_49266,c_174949]) ).
tcf(c_175701,plain,
( v1_xreal_0(sK92(k1_zfmisc_1(u1_struct_0(sK39))))
| ~ v5_membered(k1_zfmisc_1(u1_struct_0(sK39))) ),
inference(superposition,[status(thm)],[c_175300,c_2573]) ).
tcf(c_175702,plain,
( v1_int_1(sK92(k1_zfmisc_1(u1_struct_0(sK39))))
| ~ v5_membered(k1_zfmisc_1(u1_struct_0(sK39))) ),
inference(superposition,[status(thm)],[c_175300,c_2572]) ).
tcf(c_175711,plain,
( v2_membered(sK92(k1_zfmisc_1(u1_struct_0(sK39))))
| ~ v4_membered(u1_struct_0(sK39)) ),
inference(superposition,[status(thm)],[c_175534,c_162309]) ).
tcf(c_175712,plain,
( v1_membered(sK92(k1_zfmisc_1(u1_struct_0(sK39))))
| ~ v4_membered(u1_struct_0(sK39)) ),
inference(superposition,[status(thm)],[c_175534,c_162281]) ).
tcf(c_175713,plain,
( v3_membered(sK92(k1_zfmisc_1(u1_struct_0(sK39))))
| ~ v4_membered(u1_struct_0(sK39)) ),
inference(superposition,[status(thm)],[c_175534,c_1481]) ).
tcf(c_175724,plain,
( v1_xcmplx_0(sK92(k1_zfmisc_1(u1_struct_0(sK39))))
| ~ v5_membered(k1_zfmisc_1(u1_struct_0(sK39))) ),
inference(superposition,[status(thm)],[c_175701,c_2750]) ).
tcf(c_175748,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : k3_tarski(k2_tarski(k2_tarski(X0,X0),k2_enumset1(X1,X1,X2,X3))) = k2_enumset1(X1,X2,X3,X0),
inference(superposition,[status(thm)],[c_2707,c_54517]) ).
tcf(c_175750,plain,
! [X0: $i,X1: $i,X2: $i] : k3_tarski(k2_tarski(k2_tarski(X0,X1),k2_tarski(X2,X2))) = k2_enumset1(X0,X0,X1,X2),
inference(superposition,[status(thm)],[c_3626,c_54517]) ).
tcf(c_175757,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : k3_tarski(k2_tarski(k2_enumset1(X0,X1,X2,X0),k2_tarski(X3,X3))) = k2_enumset1(X0,X1,X2,X3),
inference(superposition,[status(thm)],[c_3618,c_54517]) ).
tcf(c_175766,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : k3_tarski(k2_tarski(k2_enumset1(X0,X1,X2,X2),k2_tarski(X3,X3))) = k2_enumset1(X0,X1,X2,X3),
inference(superposition,[status(thm)],[c_52485,c_54517]) ).
tcf(c_175769,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : k3_tarski(k2_tarski(k2_enumset1(X0,X1,X2,X2),k2_tarski(X3,X3))) = k2_enumset1(X2,X1,X0,X3),
inference(superposition,[status(thm)],[c_3612,c_54517]) ).
tcf(c_175770,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : k3_tarski(k2_tarski(k2_enumset1(X0,X1,X2,X2),k2_tarski(X3,X3))) = k2_enumset1(X2,X0,X1,X3),
inference(superposition,[status(thm)],[c_3613,c_54517]) ).
tcf(c_175773,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : k3_tarski(k2_tarski(k2_enumset1(X0,X1,X2,X1),k2_tarski(X3,X3))) = k2_enumset1(X1,X2,X0,X3),
inference(superposition,[status(thm)],[c_3616,c_54517]) ).
tcf(c_175774,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : k3_tarski(k2_tarski(k2_enumset1(X0,X1,X2,X1),k2_tarski(X3,X3))) = k2_enumset1(X1,X0,X2,X3),
inference(superposition,[status(thm)],[c_3617,c_54517]) ).
tcf(c_175775,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : k3_tarski(k2_tarski(k2_enumset1(X0,X1,X1,X2),k2_tarski(X3,X3))) = k2_enumset1(X1,X2,X0,X3),
inference(superposition,[status(thm)],[c_3618,c_54517]) ).
tcf(c_175776,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : k3_tarski(k2_tarski(k2_enumset1(X0,X1,X1,X2),k2_tarski(X3,X3))) = k2_enumset1(X1,X0,X2,X3),
inference(superposition,[status(thm)],[c_3619,c_54517]) ).
tcf(c_175778,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : k3_tarski(k2_tarski(k2_enumset1(X0,X1,X2,X0),k2_tarski(X3,X3))) = k2_enumset1(X0,X2,X1,X3),
inference(superposition,[status(thm)],[c_3622,c_54517]) ).
tcf(c_175779,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : k3_tarski(k2_tarski(k2_enumset1(X0,X1,X0,X2),k2_tarski(X3,X3))) = k2_enumset1(X0,X2,X1,X3),
inference(superposition,[status(thm)],[c_3623,c_54517]) ).
tcf(c_175780,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : k3_tarski(k2_tarski(k2_enumset1(X0,X1,X0,X2),k2_tarski(X3,X3))) = k2_enumset1(X0,X1,X2,X3),
inference(superposition,[status(thm)],[c_3624,c_54517]) ).
tcf(c_175781,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : k3_tarski(k2_tarski(k2_enumset1(X0,X0,X1,X2),k2_tarski(X3,X3))) = k2_enumset1(X0,X2,X1,X3),
inference(superposition,[status(thm)],[c_3625,c_54517]) ).
tcf(c_175782,plain,
! [X0: $i,X1: $i,X2: $i] : k3_tarski(k2_tarski(k2_enumset1(X0,X0,X0,X1),k2_tarski(X2,X2))) = k2_enumset1(X0,X1,X1,X2),
inference(superposition,[status(thm)],[c_52485,c_54517]) ).
tcf(c_175783,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( X3 = np__0 )
| ( k3_tarski(k2_tarski(k2_enumset1(X0,X0,X1,X2),k2_relat_1(sK46(X3,X4)))) = k2_enumset1(X0,X1,X2,X4) ) ),
inference(superposition,[status(thm)],[c_51182,c_54517]) ).
tcf(c_175784,plain,
! [X0: $i,X1: $i,X2: $i] : k3_tarski(k2_tarski(k2_enumset1(X0,X0,X1,X2),k1_zfmisc_1(np__0))) = k2_enumset1(X0,X1,X2,np__0),
inference(superposition,[status(thm)],[c_47417,c_54517]) ).
tcf(c_175785,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : k4_xboole_0(k2_enumset1(X0,X1,X2,X3),k1_setfam_1(k2_tarski(k2_tarski(X3,X3),k2_enumset1(X0,X0,X1,X2)))) = k5_xboole_0(k2_enumset1(X0,X0,X1,X2),k2_tarski(X3,X3)),
inference(superposition,[status(thm)],[c_54517,c_51197]) ).
tcf(c_175786,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : k5_xboole_0(k2_enumset1(X0,X0,X1,X2),k5_xboole_0(k2_tarski(X3,X3),k2_enumset1(X0,X1,X2,X3))) = k1_setfam_1(k2_tarski(k2_tarski(X3,X3),k2_enumset1(X0,X0,X1,X2))),
inference(superposition,[status(thm)],[c_54517,c_50414]) ).
tcf(c_175789,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : r1_tarski(k2_enumset1(X0,X0,X1,X2),k2_enumset1(X0,X1,X2,X3)),
inference(superposition,[status(thm)],[c_54517,c_497]) ).
tcf(c_175790,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : k3_tarski(k2_tarski(k2_enumset1(X0,X0,X1,X2),k3_tarski(k2_tarski(k2_tarski(X3,X3),X4)))) = k3_tarski(k2_tarski(k2_enumset1(X0,X1,X2,X3),X4)),
inference(superposition,[status(thm)],[c_54517,c_500]) ).
tcf(c_175791,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : k3_tarski(k2_tarski(k2_enumset1(X0,X0,X1,X2),k2_enumset1(X0,X1,X2,X3))) = k2_enumset1(X0,X1,X2,X3),
inference(superposition,[status(thm)],[c_54517,c_498]) ).
tcf(c_175793,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : k4_xboole_0(k2_enumset1(X0,X0,X1,X2),k2_tarski(X3,X3)) = k4_xboole_0(k2_enumset1(X0,X1,X2,X3),k2_tarski(X3,X3)),
inference(superposition,[status(thm)],[c_54517,c_485]) ).
tcf(c_175794,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : k4_xboole_0(k4_xboole_0(X0,k2_enumset1(X1,X1,X2,X3)),k2_tarski(X4,X4)) = k4_xboole_0(X0,k2_enumset1(X1,X2,X3,X4)),
inference(superposition,[status(thm)],[c_54517,c_484]) ).
tcf(c_175795,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : r1_tarski(k2_tarski(X0,X0),k2_enumset1(X1,X2,X3,X0)),
inference(superposition,[status(thm)],[c_54517,c_162055]) ).
tcf(c_175796,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ~ r2_hidden(k2_enumset1(X0,X1,X2,X3),k1_setfam_1(k2_tarski(k2_enumset1(X0,X0,X1,X2),k2_tarski(X3,X3)))),
inference(superposition,[status(thm)],[c_54517,c_167159]) ).
tcf(c_175797,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ~ r2_hidden(k1_zfmisc_1(k2_enumset1(X0,X1,X2,X3)),k2_tarski(k2_enumset1(X0,X0,X1,X2),k2_tarski(X3,X3))),
inference(superposition,[status(thm)],[c_54517,c_167158]) ).
tcf(c_175798,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v3_ordinal1(k2_enumset1(X0,X1,X2,X3))
| ~ v1_xboole_0(k2_tarski(k2_enumset1(X0,X0,X1,X2),k2_tarski(X3,X3))) ),
inference(superposition,[status(thm)],[c_54517,c_164233]) ).
tcf(c_175799,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v1_membered(k2_enumset1(X0,X1,X2,X3))
| ~ v1_xboole_0(k2_tarski(k2_enumset1(X0,X0,X1,X2),k2_tarski(X3,X3))) ),
inference(superposition,[status(thm)],[c_54517,c_163434]) ).
tcf(c_175800,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v2_membered(k2_enumset1(X0,X1,X2,X3))
| ~ v1_xboole_0(k2_tarski(k2_enumset1(X0,X0,X1,X2),k2_tarski(X3,X3))) ),
inference(superposition,[status(thm)],[c_54517,c_163150]) ).
tcf(c_175801,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v3_membered(k2_enumset1(X0,X1,X2,X3))
| ~ v1_xboole_0(k2_tarski(k2_enumset1(X0,X0,X1,X2),k2_tarski(X3,X3))) ),
inference(superposition,[status(thm)],[c_54517,c_162596]) ).
tcf(c_175802,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v4_membered(k2_enumset1(X0,X1,X2,X3))
| ~ v1_xboole_0(k2_tarski(k2_enumset1(X0,X0,X1,X2),k2_tarski(X3,X3))) ),
inference(superposition,[status(thm)],[c_54517,c_162258]) ).
tcf(c_175803,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v5_membered(k2_enumset1(X0,X1,X2,X3))
| ~ v1_xboole_0(k2_tarski(k2_enumset1(X0,X0,X1,X2),k2_tarski(X3,X3))) ),
inference(superposition,[status(thm)],[c_54517,c_161606]) ).
tcf(c_175804,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : k3_tarski(k3_tarski(k2_tarski(k2_tarski(k2_enumset1(X0,X0,X1,X2),k2_tarski(X3,X3)),X4))) = k3_tarski(k2_tarski(k2_enumset1(X0,X1,X2,X3),k3_tarski(X4))),
inference(superposition,[status(thm)],[c_54517,c_2509]) ).
tcf(c_175805,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v3_ordinal1(k2_enumset1(X0,X1,X2,X3))
| ~ v3_ordinal1(k2_tarski(k2_enumset1(X0,X0,X1,X2),k2_tarski(X3,X3))) ),
inference(superposition,[status(thm)],[c_54517,c_2504]) ).
tcf(c_175806,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v1_finset_1(k2_tarski(k2_enumset1(X0,X0,X1,X2),k2_tarski(X3,X3)))
| ~ v1_finset_1(k2_enumset1(X0,X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_54517,c_2497]) ).
tcf(c_175807,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : r1_tarski(k1_setfam_1(k2_tarski(k2_enumset1(X0,X0,X1,X2),k2_tarski(X3,X3))),k2_enumset1(X0,X1,X2,X3)),
inference(superposition,[status(thm)],[c_54517,c_2542]) ).
tcf(c_175808,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : r1_tarski(k2_tarski(k2_enumset1(X0,X0,X1,X2),k2_tarski(X3,X3)),k1_zfmisc_1(k2_enumset1(X0,X1,X2,X3))),
inference(superposition,[status(thm)],[c_54517,c_2506]) ).
tcf(c_175809,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( r1_tarski(X0,k2_enumset1(X1,X2,X3,X4))
| ~ r2_hidden(X0,k2_tarski(k2_enumset1(X1,X1,X2,X3),k2_tarski(X4,X4))) ),
inference(superposition,[status(thm)],[c_54517,c_2513]) ).
tcf(c_175810,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : k3_tarski(k3_tarski(k2_tarski(X0,k2_tarski(k2_enumset1(X1,X1,X2,X3),k2_tarski(X4,X4))))) = k3_tarski(k2_tarski(k3_tarski(X0),k2_enumset1(X1,X2,X3,X4))),
inference(superposition,[status(thm)],[c_54517,c_2509]) ).
tcf(c_175812,plain,
! [X0: $i,X1: $i,X2: $i] : ~ v1_xboole_0(k2_enumset1(X0,X1,X2,k2_enumset1(X0,X0,X1,X2))),
inference(superposition,[status(thm)],[c_54517,c_47396]) ).
tcf(c_175813,plain,
! [X0: $i,X1: $i,X2: $i] : k2_enumset1(X0,X1,X2,k2_enumset1(X0,X0,X1,X2)) != k2_enumset1(X0,X0,X1,X2),
inference(superposition,[status(thm)],[c_54517,c_48232]) ).
tcf(c_175816,plain,
! [X0: $i,X1: $i,X2: $i] : k3_tarski(k2_tarski(k2_tarski(X0,X1),k2_tarski(X2,X2))) = k2_enumset1(X0,X1,X1,X2),
inference(light_normalisation,[status(thm)],[c_175782,c_3626]) ).
tcf(c_175843,plain,
! [X0: $i,X1: $i] :
( v1_int_1(X0)
| ~ v4_membered(k1_zfmisc_1(X1))
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_562,c_1435]) ).
tcf(c_175844,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,X1)
| v1_int_1(sK82(X0,X1))
| ~ v4_membered(X0) ),
inference(superposition,[status(thm)],[c_572,c_1435]) ).
tcf(c_175845,plain,
! [X0: $i] :
( v1_int_1(sK114(X0))
| ( X0 = np__0 )
| ~ v4_membered(X0) ),
inference(superposition,[status(thm)],[c_697,c_1435]) ).
tcf(c_175846,plain,
! [X0: $i] :
( v1_int_1(sK127(X0))
| ( X0 = np__0 )
| ~ v4_membered(X0) ),
inference(superposition,[status(thm)],[c_758,c_1435]) ).
tcf(c_175847,plain,
! [X0: $i] :
( sP9(X0)
| v1_funct_1(X0)
| v1_int_1(sK133(X0))
| ~ v4_membered(X0) ),
inference(superposition,[status(thm)],[c_769,c_1435]) ).
tcf(c_175848,plain,
! [X0: $i] :
( sP9(X0)
| v1_relat_1(X0)
| v1_int_1(sK133(X0))
| ~ v4_membered(X0) ),
inference(superposition,[status(thm)],[c_767,c_1435]) ).
tcf(c_175849,plain,
! [X0: $i] :
( v1_relat_1(X0)
| v1_int_1(sK146(X0))
| ~ v4_membered(X0) ),
inference(superposition,[status(thm)],[c_787,c_1435]) ).
tcf(c_175850,plain,
! [X0: $i] :
( v1_int_1(sK223(X0))
| v5_membered(k3_tarski(X0))
| ~ v4_membered(X0) ),
inference(superposition,[status(thm)],[c_1321,c_1435]) ).
tcf(c_175852,plain,
! [X0: $i] :
( v5_membered(X0)
| v1_int_1(sK229(X0))
| ~ v4_membered(X0) ),
inference(superposition,[status(thm)],[c_1342,c_1435]) ).
tcf(c_175853,plain,
! [X0: $i] :
( v1_int_1(sK231(X0))
| v4_membered(k3_tarski(X0))
| ~ v4_membered(X0) ),
inference(superposition,[status(thm)],[c_1413,c_1435]) ).
tcf(c_175856,plain,
! [X0: $i] :
( v1_int_1(sK238(X0))
| v3_membered(k3_tarski(X0))
| ~ v4_membered(X0) ),
inference(superposition,[status(thm)],[c_1483,c_1435]) ).
tcf(c_175857,plain,
! [X0: $i] :
( v1_int_1(sK239(X0))
| v2_membered(k3_tarski(X0))
| ~ v4_membered(X0) ),
inference(superposition,[status(thm)],[c_1513,c_1435]) ).
tcf(c_175858,plain,
! [X0: $i] :
( v2_membered(X0)
| v1_int_1(sK245(X0))
| ~ v4_membered(X0) ),
inference(superposition,[status(thm)],[c_1534,c_1435]) ).
tcf(c_175859,plain,
! [X0: $i] :
( v1_int_1(sK246(X0))
| v1_membered(k3_tarski(X0))
| ~ v4_membered(X0) ),
inference(superposition,[status(thm)],[c_1559,c_1435]) ).
tcf(c_175860,plain,
! [X0: $i] :
( v1_membered(X0)
| v1_int_1(sK251(X0))
| ~ v4_membered(X0) ),
inference(superposition,[status(thm)],[c_1577,c_1435]) ).
tcf(c_175861,plain,
! [X0: $i] :
( v1_realset1(X0)
| v1_int_1(sK315(X0))
| ~ v4_membered(X0) ),
inference(superposition,[status(thm)],[c_1986,c_1435]) ).
tcf(c_175862,plain,
! [X0: $i] :
( v1_realset1(X0)
| v1_int_1(sK316(X0))
| ~ v4_membered(X0) ),
inference(superposition,[status(thm)],[c_1987,c_1435]) ).
tcf(c_175863,plain,
! [X0: $i] :
( v1_int_1(sK381(X0))
| ( X0 = np__0 )
| ~ v4_membered(X0) ),
inference(superposition,[status(thm)],[c_2399,c_1435]) ).
tcf(c_175864,plain,
! [X0: $i] :
( v1_int_1(sK382(X0))
| ( X0 = np__0 )
| ~ v4_membered(X0) ),
inference(superposition,[status(thm)],[c_2401,c_1435]) ).
tcf(c_175865,plain,
! [X0: $i] :
( v1_int_1(sK383(X0))
| ( X0 = np__0 )
| ~ v4_membered(X0) ),
inference(superposition,[status(thm)],[c_2403,c_1435]) ).
tcf(c_175866,plain,
! [X0: $i] :
( v1_int_1(sK384(X0))
| ( X0 = np__0 )
| ~ v4_membered(X0) ),
inference(superposition,[status(thm)],[c_2405,c_1435]) ).
tcf(c_175867,plain,
! [X0: $i] :
( v1_int_1(sK385(X0))
| ( X0 = np__0 )
| ~ v4_membered(X0) ),
inference(superposition,[status(thm)],[c_2407,c_1435]) ).
tcf(c_175868,plain,
! [X0: $i] :
( v1_int_1(sK386(X0))
| ( X0 = np__0 )
| ~ v4_membered(X0) ),
inference(superposition,[status(thm)],[c_2409,c_1435]) ).
tcf(c_175869,plain,
! [X0: $i,X1: $i] :
( r1_xboole_0(X0,X1)
| v1_int_1(sK392(X0,X1))
| ~ v4_membered(X0) ),
inference(superposition,[status(thm)],[c_2475,c_1435]) ).
tcf(c_175870,plain,
! [X0: $i,X1: $i] :
( r1_xboole_0(X1,X0)
| v1_int_1(sK392(X1,X0))
| ~ v4_membered(X0) ),
inference(superposition,[status(thm)],[c_2476,c_1435]) ).
tcf(c_175871,plain,
! [X0: $i] :
( v3_ordinal1(k3_tarski(X0))
| v1_int_1(sK395(X0))
| ~ v4_membered(X0) ),
inference(superposition,[status(thm)],[c_2503,c_1435]) ).
tcf(c_175872,plain,
! [X0: $i] :
( v3_ordinal1(k1_setfam_1(X0))
| v1_int_1(sK400(X0))
| ~ v4_membered(X0) ),
inference(superposition,[status(thm)],[c_2531,c_1435]) ).
tcf(c_175873,plain,
! [X0: $i] :
( v1_int_1(np__0)
| v1_xboole_0(X0)
| ~ v4_finsub_1(X0)
| ~ v4_membered(X0) ),
inference(superposition,[status(thm)],[c_3600,c_1435]) ).
tcf(c_175874,plain,
! [X0: $i,X1: $i] :
( v1_int_1(X0)
| ~ v4_membered(k2_tarski(X0,X1)) ),
inference(superposition,[status(thm)],[c_2711,c_1435]) ).
tcf(c_175875,plain,
! [X0: $i,X1: $i] :
( v1_int_1(X1)
| ~ v4_membered(k2_tarski(X0,X1)) ),
inference(superposition,[status(thm)],[c_2712,c_1435]) ).
tcf(c_175877,plain,
! [X0: $i] :
( v1_int_1(X0)
| ~ v4_membered(k1_numbers)
| ~ v1_xreal_0(X0) ),
inference(superposition,[status(thm)],[c_2744,c_1435]) ).
tcf(c_175878,plain,
! [X0: $i] :
( v1_int_1(k1_card_1(X0))
| ~ v4_membered(k1_card_1(k1_zfmisc_1(X0))) ),
inference(superposition,[status(thm)],[c_2813,c_1435]) ).
tcf(c_175879,plain,
! [X0: $i] :
( v3_ordinal1(sK549(X0))
| v1_int_1(sK549(X0))
| ~ v4_membered(X0) ),
inference(superposition,[status(thm)],[c_3503,c_1435]) ).
tcf(c_175880,plain,
! [X0: $i] :
( v3_ordinal1(sK551(X0))
| v1_int_1(sK550(X0))
| ~ v4_membered(X0) ),
inference(superposition,[status(thm)],[c_3507,c_1435]) ).
tcf(c_175881,plain,
! [X0: $i] :
( v3_ordinal1(X0)
| v1_int_1(sK552(X0))
| ~ v4_membered(X0) ),
inference(superposition,[status(thm)],[c_3509,c_1435]) ).
tcf(c_175882,plain,
! [X0: $i] :
( v4_finsub_1(X0)
| v1_int_1(sK558(X0))
| ~ v4_membered(X0) ),
inference(superposition,[status(thm)],[c_3603,c_1435]) ).
tcf(c_175883,plain,
! [X0: $i] :
( v4_finsub_1(X0)
| v1_int_1(sK559(X0))
| ~ v4_membered(X0) ),
inference(superposition,[status(thm)],[c_3604,c_1435]) ).
tcf(c_175884,plain,
! [X0: $i,X1: $i] :
( v1_int_1(X1)
| ~ v4_membered(k3_tarski(k2_tarski(X0,k2_tarski(X1,X1)))) ),
inference(superposition,[status(thm)],[c_47393,c_1435]) ).
tcf(c_175888,plain,
( v1_int_1(np__0)
| ~ v4_membered(k1_card_1(k1_zfmisc_1(np__0))) ),
inference(superposition,[status(thm)],[c_160622,c_1435]) ).
tcf(c_175889,plain,
! [X0: $i] :
( v4_finsub_1(X0)
| v1_int_1(sK92(X0))
| ~ v4_membered(X0) ),
inference(superposition,[status(thm)],[c_167549,c_1435]) ).
tcf(c_175890,plain,
! [X0: $i] :
( v3_ordinal1(X0)
| v1_int_1(sK92(X0))
| ~ v4_membered(X0) ),
inference(superposition,[status(thm)],[c_167548,c_1435]) ).
tcf(c_175891,plain,
! [X0: $i] :
( v1_realset1(X0)
| v1_int_1(sK92(X0))
| ~ v4_membered(X0) ),
inference(superposition,[status(thm)],[c_167537,c_1435]) ).
tcf(c_175892,plain,
! [X0: $i] :
( v1_membered(X0)
| v1_int_1(sK92(X0))
| ~ v4_membered(X0) ),
inference(superposition,[status(thm)],[c_167536,c_1435]) ).
tcf(c_175893,plain,
! [X0: $i] :
( v2_membered(X0)
| v1_int_1(sK92(X0))
| ~ v4_membered(X0) ),
inference(superposition,[status(thm)],[c_167534,c_1435]) ).
tcf(c_175895,plain,
! [X0: $i] :
( v5_membered(X0)
| v1_int_1(sK92(X0))
| ~ v4_membered(X0) ),
inference(superposition,[status(thm)],[c_167529,c_1435]) ).
tcf(c_175896,plain,
! [X0: $i] :
( v1_relat_1(X0)
| v1_int_1(sK92(X0))
| ~ v4_membered(X0) ),
inference(superposition,[status(thm)],[c_167527,c_1435]) ).
tcf(c_175897,plain,
( v1_int_1(sK92(k1_numbers))
| ~ v4_membered(k1_numbers) ),
inference(superposition,[status(thm)],[c_174625,c_1435]) ).
tcf(c_175898,plain,
! [X0: $i] :
( v1_int_1(np__0)
| ~ v4_membered(k1_zfmisc_1(X0)) ),
inference(superposition,[status(thm)],[c_174278,c_1435]) ).
tcf(c_175899,plain,
( v1_int_1(k5_numbers)
| ~ v4_membered(k1_zfmisc_1(k1_numbers)) ),
inference(superposition,[status(thm)],[c_174277,c_1435]) ).
tcf(c_175901,plain,
( v1_int_1(u1_struct_0(sK39))
| ~ v4_membered(k1_zfmisc_1(u1_struct_0(sK39))) ),
inference(superposition,[status(thm)],[c_174327,c_1435]) ).
tcf(c_175902,plain,
( v1_int_1(sK92(k1_zfmisc_1(u1_struct_0(sK39))))
| ~ v4_membered(k1_zfmisc_1(u1_struct_0(sK39))) ),
inference(superposition,[status(thm)],[c_174640,c_1435]) ).
tcf(c_176100,plain,
! [X0: $i,X1: $i] :
( v3_membered(X0)
| ~ v3_membered(X1)
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_167498,c_1484]) ).
tcf(c_176101,plain,
! [X0: $i,X1: $i] :
( v3_membered(X0)
| ~ v3_membered(k3_tarski(k2_tarski(X0,X1))) ),
inference(superposition,[status(thm)],[c_497,c_1484]) ).
tcf(c_176102,plain,
! [X0: $i,X1: $i] :
( v3_membered(k1_zfmisc_1(X0))
| ~ v3_membered(k1_zfmisc_1(X1))
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_559,c_1484]) ).
tcf(c_176105,plain,
! [X0: $i] :
( v3_membered(X0)
| ~ v3_membered(k5_numbers)
| ~ v5_membered(X0) ),
inference(superposition,[status(thm)],[c_1340,c_1484]) ).
tcf(c_176106,plain,
! [X0: $i] :
( v3_membered(X0)
| ~ v3_membered(k4_numbers)
| ~ v4_membered(X0) ),
inference(superposition,[status(thm)],[c_1432,c_1484]) ).
tcf(c_176108,plain,
! [X0: $i] :
( v3_membered(X0)
| ~ v3_membered(k1_numbers)
| ~ v2_membered(X0) ),
inference(superposition,[status(thm)],[c_1532,c_1484]) ).
tcf(c_176109,plain,
! [X0: $i] :
( v3_membered(k5_finsub_1(X0))
| ~ v3_membered(k1_zfmisc_1(X0)) ),
inference(superposition,[status(thm)],[c_1653,c_1484]) ).
tcf(c_176111,plain,
! [X0: $i,X1: $i] :
( v3_membered(k7_relat_1(X0,X1))
| ~ v3_membered(X0)
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_2067,c_1484]) ).
tcf(c_176112,plain,
! [X0: $i] :
( v3_membered(k6_partfun1(X0))
| ~ v3_membered(k2_zfmisc_1(X0,X0)) ),
inference(superposition,[status(thm)],[c_2163,c_1484]) ).
tcf(c_176115,plain,
! [X0: $i] :
( v3_membered(k1_relat_1(X0))
| ~ v1_relat_1(X0)
| ~ v3_membered(k3_relat_1(X0)) ),
inference(superposition,[status(thm)],[c_2309,c_1484]) ).
tcf(c_176116,plain,
! [X0: $i] :
( v3_membered(k2_relat_1(X0))
| ~ v1_relat_1(X0)
| ~ v3_membered(k3_relat_1(X0)) ),
inference(superposition,[status(thm)],[c_2310,c_1484]) ).
tcf(c_176117,plain,
! [X0: $i,X1: $i] :
( v3_membered(X0)
| ~ v3_membered(k3_tarski(X1))
| ~ r2_hidden(X0,X1) ),
inference(superposition,[status(thm)],[c_2513,c_1484]) ).
tcf(c_176118,plain,
! [X0: $i] :
( v3_membered(X0)
| ~ v3_membered(k1_zfmisc_1(k3_tarski(X0))) ),
inference(superposition,[status(thm)],[c_2506,c_1484]) ).
tcf(c_176120,plain,
! [X0: $i] :
( v3_membered(k1_setfam_1(X0))
| ~ v3_membered(k3_tarski(X0)) ),
inference(superposition,[status(thm)],[c_2542,c_1484]) ).
tcf(c_176122,plain,
! [X0: $i,X1: $i] :
( v3_membered(k4_xboole_0(X0,X1))
| ~ v3_membered(k5_xboole_0(X0,X1)) ),
inference(superposition,[status(thm)],[c_2608,c_1484]) ).
tcf(c_176130,plain,
! [X0: $i,X1: $i] :
( v3_membered(k8_relat_1(X1,X0))
| ~ v3_membered(X0)
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_3314,c_1484]) ).
tcf(c_176131,plain,
! [X0: $i] :
( v3_membered(X0)
| r2_hidden(sK550(X0),X0)
| ~ v3_membered(sK551(X0)) ),
inference(superposition,[status(thm)],[c_3506,c_1484]) ).
tcf(c_176132,plain,
! [X0: $i] :
( v3_membered(X0)
| ~ v3_ordinal1(sK550(X0))
| ~ v3_membered(sK551(X0)) ),
inference(superposition,[status(thm)],[c_3504,c_1484]) ).
tcf(c_176133,plain,
! [X0: $i] :
( v3_membered(X0)
| ~ v3_membered(k2_numbers)
| ~ v1_membered(X0) ),
inference(superposition,[status(thm)],[c_3640,c_1484]) ).
tcf(c_176135,plain,
( v3_membered(k1_numbers)
| ~ v3_membered(k2_numbers) ),
inference(superposition,[status(thm)],[c_3647,c_1484]) ).
tcf(c_176136,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| v3_membered(sK87(X0))
| ~ v3_membered(X0) ),
inference(superposition,[status(thm)],[c_167342,c_1484]) ).
tcf(c_176137,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| v3_membered(sK264(X0))
| ~ v3_membered(X0) ),
inference(superposition,[status(thm)],[c_167344,c_1484]) ).
tcf(c_176138,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| v3_membered(sK265(X0))
| ~ v3_membered(X0) ),
inference(superposition,[status(thm)],[c_167345,c_1484]) ).
tcf(c_176139,plain,
! [X0: $i,X1: $i] :
( v3_membered(k2_tarski(X0,X0))
| ~ v3_membered(k2_tarski(X0,X1)) ),
inference(superposition,[status(thm)],[c_47411,c_1484]) ).
tcf(c_176140,plain,
! [X0: $i,X1: $i] :
( v3_membered(k2_tarski(X1,X1))
| ~ v3_membered(k2_tarski(X0,X1)) ),
inference(superposition,[status(thm)],[c_47412,c_1484]) ).
tcf(c_176141,plain,
! [X0: $i] :
( v3_membered(k2_tarski(X0,X0))
| ~ v3_membered(k1_zfmisc_1(X0)) ),
inference(superposition,[status(thm)],[c_47413,c_1484]) ).
tcf(c_176143,plain,
! [X0: $i] :
( v3_membered(k2_tarski(X0,np__0))
| ~ v3_membered(k1_zfmisc_1(X0)) ),
inference(superposition,[status(thm)],[c_159660,c_1484]) ).
tcf(c_176144,plain,
! [X0: $i] :
( v3_membered(k1_setfam_1(k1_zfmisc_1(X0)))
| ~ v3_membered(X0) ),
inference(superposition,[status(thm)],[c_160376,c_1484]) ).
tcf(c_176146,plain,
! [X0: $i,X1: $i] :
( v3_membered(X1)
| ~ v3_membered(k3_tarski(k2_tarski(X0,X1))) ),
inference(superposition,[status(thm)],[c_162055,c_1484]) ).
tcf(c_176147,plain,
! [X0: $i] :
( v3_membered(k2_tarski(np__0,X0))
| ~ v3_membered(k1_zfmisc_1(X0)) ),
inference(superposition,[status(thm)],[c_162071,c_1484]) ).
tcf(c_176149,plain,
! [X0: $i] :
( v3_membered(k1_zfmisc_1(np__0))
| ~ v3_membered(k2_tarski(X0,np__0)) ),
inference(superposition,[status(thm)],[c_165498,c_1484]) ).
tcf(c_176150,plain,
! [X0: $i] :
( v3_membered(k1_zfmisc_1(np__0))
| ~ v3_membered(k2_tarski(np__0,X0)) ),
inference(superposition,[status(thm)],[c_165499,c_1484]) ).
tcf(c_176151,plain,
! [X0: $i] :
( v3_membered(sK52(k1_zfmisc_1(X0)))
| ~ v3_membered(X0) ),
inference(superposition,[status(thm)],[c_167340,c_1484]) ).
tcf(c_176152,plain,
! [X0: $i] :
( v3_membered(X0)
| ~ v3_membered(k3_relat_1(k6_partfun1(X0))) ),
inference(superposition,[status(thm)],[c_169238,c_1484]) ).
tcf(c_176153,plain,
( v3_membered(sK92(k1_zfmisc_1(u1_struct_0(sK39))))
| ~ v3_membered(u1_struct_0(sK39)) ),
inference(superposition,[status(thm)],[c_174648,c_1484]) ).
tcf(c_176284,plain,
! [X0: $i,X1: $i] :
( v2_membered(X0)
| ~ v2_membered(X1)
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_167498,c_1527]) ).
tcf(c_176285,plain,
! [X0: $i,X1: $i] :
( v2_membered(X0)
| ~ v2_membered(k3_tarski(k2_tarski(X0,X1))) ),
inference(superposition,[status(thm)],[c_497,c_1527]) ).
tcf(c_176286,plain,
! [X0: $i,X1: $i] :
( v2_membered(k1_zfmisc_1(X0))
| ~ v2_membered(k1_zfmisc_1(X1))
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_559,c_1527]) ).
tcf(c_176289,plain,
! [X0: $i] :
( v2_membered(X0)
| ~ v2_membered(k5_numbers)
| ~ v5_membered(X0) ),
inference(superposition,[status(thm)],[c_1340,c_1527]) ).
tcf(c_176290,plain,
! [X0: $i] :
( v2_membered(X0)
| ~ v2_membered(k4_numbers)
| ~ v4_membered(X0) ),
inference(superposition,[status(thm)],[c_1432,c_1527]) ).
tcf(c_176291,plain,
! [X0: $i] :
( v2_membered(X0)
| ~ v2_membered(k3_numbers)
| ~ v3_membered(X0) ),
inference(superposition,[status(thm)],[c_1485,c_1527]) ).
tcf(c_176293,plain,
! [X0: $i] :
( v2_membered(k5_finsub_1(X0))
| ~ v2_membered(k1_zfmisc_1(X0)) ),
inference(superposition,[status(thm)],[c_1653,c_1527]) ).
tcf(c_176295,plain,
! [X0: $i,X1: $i] :
( v2_membered(k7_relat_1(X0,X1))
| ~ v2_membered(X0)
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_2067,c_1527]) ).
tcf(c_176296,plain,
! [X0: $i] :
( v2_membered(k6_partfun1(X0))
| ~ v2_membered(k2_zfmisc_1(X0,X0)) ),
inference(superposition,[status(thm)],[c_2163,c_1527]) ).
tcf(c_176299,plain,
! [X0: $i] :
( v2_membered(k1_relat_1(X0))
| ~ v1_relat_1(X0)
| ~ v2_membered(k3_relat_1(X0)) ),
inference(superposition,[status(thm)],[c_2309,c_1527]) ).
tcf(c_176300,plain,
! [X0: $i] :
( v2_membered(k2_relat_1(X0))
| ~ v1_relat_1(X0)
| ~ v2_membered(k3_relat_1(X0)) ),
inference(superposition,[status(thm)],[c_2310,c_1527]) ).
tcf(c_176301,plain,
! [X0: $i,X1: $i] :
( v2_membered(X0)
| ~ v2_membered(k3_tarski(X1))
| ~ r2_hidden(X0,X1) ),
inference(superposition,[status(thm)],[c_2513,c_1527]) ).
tcf(c_176302,plain,
! [X0: $i] :
( v2_membered(X0)
| ~ v2_membered(k1_zfmisc_1(k3_tarski(X0))) ),
inference(superposition,[status(thm)],[c_2506,c_1527]) ).
tcf(c_176304,plain,
! [X0: $i] :
( v2_membered(k1_setfam_1(X0))
| ~ v2_membered(k3_tarski(X0)) ),
inference(superposition,[status(thm)],[c_2542,c_1527]) ).
tcf(c_176306,plain,
! [X0: $i,X1: $i] :
( v2_membered(k4_xboole_0(X0,X1))
| ~ v2_membered(k5_xboole_0(X0,X1)) ),
inference(superposition,[status(thm)],[c_2608,c_1527]) ).
tcf(c_176314,plain,
! [X0: $i,X1: $i] :
( v2_membered(k8_relat_1(X1,X0))
| ~ v2_membered(X0)
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_3314,c_1527]) ).
tcf(c_176315,plain,
! [X0: $i] :
( v2_membered(X0)
| r2_hidden(sK550(X0),X0)
| ~ v2_membered(sK551(X0)) ),
inference(superposition,[status(thm)],[c_3506,c_1527]) ).
tcf(c_176316,plain,
! [X0: $i] :
( v2_membered(X0)
| ~ v3_ordinal1(sK550(X0))
| ~ v2_membered(sK551(X0)) ),
inference(superposition,[status(thm)],[c_3504,c_1527]) ).
tcf(c_176317,plain,
! [X0: $i] :
( v2_membered(X0)
| ~ v2_membered(k2_numbers)
| ~ v1_membered(X0) ),
inference(superposition,[status(thm)],[c_3640,c_1527]) ).
tcf(c_176320,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| v2_membered(sK87(X0))
| ~ v2_membered(X0) ),
inference(superposition,[status(thm)],[c_167342,c_1527]) ).
tcf(c_176321,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| v2_membered(sK264(X0))
| ~ v2_membered(X0) ),
inference(superposition,[status(thm)],[c_167344,c_1527]) ).
tcf(c_176322,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| v2_membered(sK265(X0))
| ~ v2_membered(X0) ),
inference(superposition,[status(thm)],[c_167345,c_1527]) ).
tcf(c_176323,plain,
! [X0: $i,X1: $i] :
( v2_membered(k2_tarski(X0,X0))
| ~ v2_membered(k2_tarski(X0,X1)) ),
inference(superposition,[status(thm)],[c_47411,c_1527]) ).
tcf(c_176324,plain,
! [X0: $i,X1: $i] :
( v2_membered(k2_tarski(X1,X1))
| ~ v2_membered(k2_tarski(X0,X1)) ),
inference(superposition,[status(thm)],[c_47412,c_1527]) ).
tcf(c_176325,plain,
! [X0: $i] :
( v2_membered(k2_tarski(X0,X0))
| ~ v2_membered(k1_zfmisc_1(X0)) ),
inference(superposition,[status(thm)],[c_47413,c_1527]) ).
tcf(c_176327,plain,
! [X0: $i] :
( v2_membered(k2_tarski(X0,np__0))
| ~ v2_membered(k1_zfmisc_1(X0)) ),
inference(superposition,[status(thm)],[c_159660,c_1527]) ).
tcf(c_176328,plain,
! [X0: $i] :
( v2_membered(k1_setfam_1(k1_zfmisc_1(X0)))
| ~ v2_membered(X0) ),
inference(superposition,[status(thm)],[c_160376,c_1527]) ).
tcf(c_176330,plain,
! [X0: $i,X1: $i] :
( v2_membered(X1)
| ~ v2_membered(k3_tarski(k2_tarski(X0,X1))) ),
inference(superposition,[status(thm)],[c_162055,c_1527]) ).
tcf(c_176331,plain,
! [X0: $i] :
( v2_membered(k2_tarski(np__0,X0))
| ~ v2_membered(k1_zfmisc_1(X0)) ),
inference(superposition,[status(thm)],[c_162071,c_1527]) ).
tcf(c_176335,plain,
! [X0: $i] :
( v2_membered(sK52(k1_zfmisc_1(X0)))
| ~ v2_membered(X0) ),
inference(superposition,[status(thm)],[c_167340,c_1527]) ).
tcf(c_176336,plain,
! [X0: $i] :
( v2_membered(X0)
| ~ v2_membered(k3_relat_1(k6_partfun1(X0))) ),
inference(superposition,[status(thm)],[c_169238,c_1527]) ).
tcf(c_176337,plain,
( v2_membered(sK92(k1_zfmisc_1(u1_struct_0(sK39))))
| ~ v2_membered(u1_struct_0(sK39)) ),
inference(superposition,[status(thm)],[c_174648,c_1527]) ).
tcf(c_176454,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| v1_int_1(sK244(X0))
| ~ v4_membered(X0)
| ~ v2_membered(X0) ),
inference(superposition,[status(thm)],[c_1531,c_1435]) ).
tcf(c_176455,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| v4_ordinal2(sK244(X0))
| ~ v5_membered(X0)
| ~ v2_membered(X0) ),
inference(superposition,[status(thm)],[c_1531,c_1343]) ).
tcf(c_176456,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| ~ v2_membered(X0)
| ~ r2_hidden(X0,sK244(X0)) ),
inference(superposition,[status(thm)],[c_1531,c_631]) ).
tcf(c_176457,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| r2_hidden(sK92(X0),X0)
| ~ v2_membered(X0) ),
inference(superposition,[status(thm)],[c_1531,c_627]) ).
tcf(c_176458,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| m1_subset_1(sK244(X0),X0)
| ~ v2_membered(X0) ),
inference(superposition,[status(thm)],[c_1531,c_626]) ).
tcf(c_176460,plain,
! [X0: $i] :
( v1_xboole_0(k1_zfmisc_1(X0))
| r1_tarski(sK244(k1_zfmisc_1(X0)),X0)
| ~ v2_membered(k1_zfmisc_1(X0)) ),
inference(superposition,[status(thm)],[c_1531,c_563]) ).
tcf(c_176462,plain,
( v1_xboole_0(k4_numbers)
| v1_int_1(sK244(k4_numbers))
| ~ v2_membered(k4_numbers) ),
inference(superposition,[status(thm)],[c_1531,c_2722]) ).
tcf(c_176463,plain,
( v1_xboole_0(k1_numbers)
| v1_xreal_0(sK244(k1_numbers))
| ~ v2_membered(k1_numbers) ),
inference(superposition,[status(thm)],[c_1531,c_2743]) ).
tcf(c_176464,plain,
! [X0: $i] :
( v1_xboole_0(k5_finsub_1(X0))
| r1_tarski(sK244(k5_finsub_1(X0)),X0)
| ~ v2_membered(k5_finsub_1(X0)) ),
inference(superposition,[status(thm)],[c_1531,c_14776]) ).
tcf(c_176465,plain,
! [X0: $i] :
( v1_xboole_0(k5_finsub_1(X0))
| v1_finset_1(sK244(k5_finsub_1(X0)))
| ~ v2_membered(k5_finsub_1(X0)) ),
inference(superposition,[status(thm)],[c_1531,c_14774]) ).
tcf(c_176466,plain,
v1_xreal_0(sK244(k1_numbers)),
inference(forward_subsumption_resolution,[status(thm)],[c_176463,c_2745,c_1554]) ).
tcf(c_176467,plain,
v1_int_1(sK244(k4_numbers)),
inference(forward_subsumption_resolution,[status(thm)],[c_176462,c_2733,c_1474]) ).
tcf(c_176491,plain,
! [X0: $i] :
( r1_tarski(sK244(k1_zfmisc_1(X0)),X0)
| ~ v2_membered(k1_zfmisc_1(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_176460,c_595]) ).
tcf(c_176508,plain,
v1_xcmplx_0(sK244(k1_numbers)),
inference(superposition,[status(thm)],[c_176466,c_2750]) ).
tcf(c_176512,plain,
v1_xreal_0(sK244(k4_numbers)),
inference(superposition,[status(thm)],[c_176467,c_2716]) ).
tcf(c_176513,plain,
v1_xcmplx_0(sK244(k4_numbers)),
inference(superposition,[status(thm)],[c_176467,c_2715]) ).
tcf(c_176523,plain,
( v1_xreal_0(sK92(k1_zfmisc_1(u1_struct_0(sK39))))
| ~ v4_membered(k1_zfmisc_1(u1_struct_0(sK39))) ),
inference(superposition,[status(thm)],[c_175902,c_2716]) ).
tcf(c_176524,plain,
( v1_xcmplx_0(sK92(k1_zfmisc_1(u1_struct_0(sK39))))
| ~ v4_membered(k1_zfmisc_1(u1_struct_0(sK39))) ),
inference(superposition,[status(thm)],[c_175902,c_2715]) ).
tcf(c_176536,plain,
( v1_membered(sK92(k1_zfmisc_1(u1_struct_0(sK39))))
| ~ v3_membered(u1_struct_0(sK39)) ),
inference(superposition,[status(thm)],[c_176153,c_162769]) ).
tcf(c_176537,plain,
( v2_membered(sK92(k1_zfmisc_1(u1_struct_0(sK39))))
| ~ v3_membered(u1_struct_0(sK39)) ),
inference(superposition,[status(thm)],[c_176153,c_1511]) ).
tcf(c_176546,plain,
( v1_membered(sK92(k1_zfmisc_1(u1_struct_0(sK39))))
| ~ v2_membered(u1_struct_0(sK39)) ),
inference(superposition,[status(thm)],[c_176337,c_1557]) ).
tcf(c_176576,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( k4_xboole_0(k2_tarski(X0,X1),k2_tarski(X0,X0)) = k2_tarski(X1,X1) ) ),
inference(superposition,[status(thm)],[c_2707,c_54771]) ).
tcf(c_176579,plain,
! [X0: $i] :
( ( k2_tarski(X0,X0) = np__0 )
| ( k4_xboole_0(k1_zfmisc_1(k2_tarski(X0,X0)),k2_tarski(k2_tarski(X0,X0),k2_tarski(X0,X0))) = k2_tarski(np__0,np__0) ) ),
inference(superposition,[status(thm)],[c_50679,c_54771]) ).
tcf(c_176581,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2 = np__0 )
| ( X0 = X1 )
| ( k4_xboole_0(k2_tarski(X0,X1),k2_relat_1(sK46(X2,X1))) = k2_tarski(X0,X0) ) ),
inference(superposition,[status(thm)],[c_51182,c_54771]) ).
tcf(c_176582,plain,
! [X0: $i] :
( ( X0 = np__0 )
| ( k4_xboole_0(k2_tarski(X0,np__0),k1_zfmisc_1(np__0)) = k2_tarski(X0,X0) ) ),
inference(superposition,[status(thm)],[c_47417,c_54771]) ).
tcf(c_176585,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X1 )
| ( k3_tarski(k2_tarski(k2_tarski(X0,X0),k4_xboole_0(k2_tarski(X0,X1),X2))) = k4_xboole_0(k2_tarski(X0,X1),k1_setfam_1(k2_tarski(X2,k2_tarski(X1,X1)))) ) ),
inference(superposition,[status(thm)],[c_54771,c_52809]) ).
tcf(c_176586,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X2 )
| ( k3_tarski(k2_tarski(k2_tarski(X0,X0),k1_setfam_1(k2_tarski(X1,k2_tarski(X0,X2))))) = k4_xboole_0(k2_tarski(X0,X2),k4_xboole_0(k2_tarski(X2,X2),X1)) ) ),
inference(superposition,[status(thm)],[c_54771,c_52807]) ).
tcf(c_176588,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( k1_setfam_1(k2_tarski(k2_tarski(X0,X0),k2_tarski(X1,X0))) = k4_xboole_0(k2_tarski(X1,X0),k2_tarski(X1,X1)) ) ),
inference(superposition,[status(thm)],[c_54771,c_48896]) ).
tcf(c_176589,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k4_xboole_0(k2_tarski(X0,X0),X2),k2_tarski(X0,X1))
| ( X0 = X1 ) ),
inference(superposition,[status(thm)],[c_54771,c_159540]) ).
tcf(c_176590,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k2_tarski(X0,X0),k5_xboole_0(k2_tarski(X0,X1),k2_tarski(X1,X1)))
| ( X0 = X1 ) ),
inference(superposition,[status(thm)],[c_54771,c_2608]) ).
tcf(c_176591,plain,
! [X0: $i,X1: $i] :
( r1_xboole_0(k2_tarski(X0,X0),k4_xboole_0(k2_tarski(X1,X1),k2_tarski(X0,X1)))
| ( X0 = X1 ) ),
inference(superposition,[status(thm)],[c_54771,c_2447]) ).
tcf(c_176592,plain,
! [X0: $i,X1: $i] :
( v1_relat_1(k2_tarski(X0,X0))
| ( X0 = X1 )
| ~ v1_relat_1(k2_tarski(X0,X1)) ),
inference(superposition,[status(thm)],[c_54771,c_1711]) ).
tcf(c_176593,plain,
! [X0: $i,X1: $i] :
( v1_finset_1(k2_tarski(X0,X0))
| ( X0 = X1 )
| ~ v1_finset_1(k2_tarski(X0,X1)) ),
inference(superposition,[status(thm)],[c_54771,c_1691]) ).
tcf(c_176594,plain,
! [X0: $i,X1: $i] :
( v1_membered(k2_tarski(X0,X0))
| ( X0 = X1 )
| ~ v1_membered(k2_tarski(X0,X1)) ),
inference(superposition,[status(thm)],[c_54771,c_1579]) ).
tcf(c_176595,plain,
! [X0: $i,X1: $i] :
( v2_membered(k2_tarski(X0,X0))
| ( X0 = X1 )
| ~ v2_membered(k2_tarski(X0,X1)) ),
inference(superposition,[status(thm)],[c_54771,c_1537]) ).
tcf(c_176596,plain,
! [X0: $i,X1: $i] :
( v1_membered(k2_tarski(X0,X0))
| ( X0 = X1 )
| ~ v2_membered(k2_tarski(X0,X1)) ),
inference(superposition,[status(thm)],[c_54771,c_1536]) ).
tcf(c_176597,plain,
! [X0: $i,X1: $i] :
( v3_membered(k2_tarski(X0,X0))
| ( X0 = X1 )
| ~ v3_membered(k2_tarski(X0,X1)) ),
inference(superposition,[status(thm)],[c_54771,c_1491]) ).
tcf(c_176598,plain,
! [X0: $i,X1: $i] :
( v2_membered(k2_tarski(X0,X0))
| ( X0 = X1 )
| ~ v3_membered(k2_tarski(X0,X1)) ),
inference(superposition,[status(thm)],[c_54771,c_1490]) ).
tcf(c_176599,plain,
! [X0: $i,X1: $i] :
( v1_membered(k2_tarski(X0,X0))
| ( X0 = X1 )
| ~ v3_membered(k2_tarski(X0,X1)) ),
inference(superposition,[status(thm)],[c_54771,c_1489]) ).
tcf(c_176600,plain,
! [X0: $i,X1: $i] :
( v4_membered(k2_tarski(X0,X0))
| ( X0 = X1 )
| ~ v4_membered(k2_tarski(X0,X1)) ),
inference(superposition,[status(thm)],[c_54771,c_1443]) ).
tcf(c_176601,plain,
! [X0: $i,X1: $i] :
( v3_membered(k2_tarski(X0,X0))
| ( X0 = X1 )
| ~ v4_membered(k2_tarski(X0,X1)) ),
inference(superposition,[status(thm)],[c_54771,c_1442]) ).
tcf(c_176602,plain,
! [X0: $i,X1: $i] :
( v2_membered(k2_tarski(X0,X0))
| ( X0 = X1 )
| ~ v4_membered(k2_tarski(X0,X1)) ),
inference(superposition,[status(thm)],[c_54771,c_1441]) ).
tcf(c_176603,plain,
! [X0: $i,X1: $i] :
( v1_membered(k2_tarski(X0,X0))
| ( X0 = X1 )
| ~ v4_membered(k2_tarski(X0,X1)) ),
inference(superposition,[status(thm)],[c_54771,c_1440]) ).
tcf(c_176604,plain,
! [X0: $i,X1: $i] :
( v5_membered(k2_tarski(X0,X0))
| ( X0 = X1 )
| ~ v5_membered(k2_tarski(X0,X1)) ),
inference(superposition,[status(thm)],[c_54771,c_1353]) ).
tcf(c_176605,plain,
! [X0: $i,X1: $i] :
( v4_membered(k2_tarski(X0,X0))
| ( X0 = X1 )
| ~ v5_membered(k2_tarski(X0,X1)) ),
inference(superposition,[status(thm)],[c_54771,c_1352]) ).
tcf(c_176606,plain,
! [X0: $i,X1: $i] :
( v3_membered(k2_tarski(X0,X0))
| ( X0 = X1 )
| ~ v5_membered(k2_tarski(X0,X1)) ),
inference(superposition,[status(thm)],[c_54771,c_1351]) ).
tcf(c_176607,plain,
! [X0: $i,X1: $i] :
( v2_membered(k2_tarski(X0,X0))
| ( X0 = X1 )
| ~ v5_membered(k2_tarski(X0,X1)) ),
inference(superposition,[status(thm)],[c_54771,c_1350]) ).
tcf(c_176608,plain,
! [X0: $i,X1: $i] :
( v1_membered(k2_tarski(X0,X0))
| ( X0 = X1 )
| ~ v5_membered(k2_tarski(X0,X1)) ),
inference(superposition,[status(thm)],[c_54771,c_1349]) ).
tcf(c_176609,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( k3_tarski(k2_tarski(k2_tarski(X0,X0),k4_xboole_0(k2_tarski(X1,X1),k2_tarski(X0,X1)))) = k5_xboole_0(k2_tarski(X0,X1),k2_tarski(X1,X1)) ) ),
inference(superposition,[status(thm)],[c_54771,c_2624]) ).
tcf(c_176610,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( k1_setfam_1(k2_tarski(k2_tarski(X0,X1),k2_tarski(X1,X1))) = k4_xboole_0(k2_tarski(X0,X1),k2_tarski(X0,X0)) ) ),
inference(superposition,[status(thm)],[c_54771,c_2532]) ).
tcf(c_176614,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X2 )
| ( k3_tarski(k2_tarski(k2_tarski(X0,X0),k4_xboole_0(X1,k2_tarski(X2,X2)))) = k4_xboole_0(k3_tarski(k2_tarski(k2_tarski(X0,X2),X1)),k2_tarski(X2,X2)) ) ),
inference(superposition,[status(thm)],[c_54771,c_483]) ).
tcf(c_176615,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X0 = X2 )
| ( k3_tarski(k2_tarski(k2_zfmisc_1(k2_tarski(X0,X0),X1),k2_zfmisc_1(k2_tarski(X0,X2),k4_xboole_0(X1,X3)))) = k4_xboole_0(k2_zfmisc_1(k2_tarski(X0,X2),X1),k2_zfmisc_1(k2_tarski(X2,X2),X3)) ) ),
inference(superposition,[status(thm)],[c_54771,c_471]) ).
tcf(c_176616,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X1 )
| ( k3_tarski(k2_tarski(k4_xboole_0(k2_tarski(X0,X1),X2),k2_tarski(X0,X0))) = k4_xboole_0(k2_tarski(X0,X1),k1_setfam_1(k2_tarski(k2_tarski(X1,X1),X2))) ) ),
inference(superposition,[status(thm)],[c_54771,c_52809]) ).
tcf(c_176617,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X1 )
| ( k4_xboole_0(k1_setfam_1(k2_tarski(k2_tarski(X0,X1),X2)),k2_tarski(X1,X1)) = k1_setfam_1(k2_tarski(k2_tarski(X0,X0),X2)) ) ),
inference(superposition,[status(thm)],[c_54771,c_52024]) ).
tcf(c_176618,plain,
! [X0: $i,X1: $i] :
( r1_xboole_0(k2_tarski(X1,X1),k2_tarski(X0,X0))
| ( X0 = X1 ) ),
inference(superposition,[status(thm)],[c_54771,c_164220]) ).
tcf(c_176619,plain,
! [X0: $i,X1: $i] :
( r1_xboole_0(k4_xboole_0(k2_tarski(X1,X1),k2_tarski(X0,X1)),k2_tarski(X0,X0))
| ( X0 = X1 ) ),
inference(superposition,[status(thm)],[c_54771,c_2447]) ).
tcf(c_176620,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( k3_tarski(k2_tarski(k4_xboole_0(k2_tarski(X0,X0),k2_tarski(X1,X0)),k2_tarski(X1,X1))) = k5_xboole_0(k2_tarski(X0,X0),k2_tarski(X1,X0)) ) ),
inference(superposition,[status(thm)],[c_54771,c_2624]) ).
tcf(c_176621,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( k3_tarski(k2_tarski(k2_tarski(X0,X0),k2_tarski(X1,X0))) = k5_xboole_0(k2_tarski(X0,X0),k2_tarski(X1,X1)) ) ),
inference(superposition,[status(thm)],[c_54771,c_2606]) ).
tcf(c_176622,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( k2_tarski(X0,X0) = k2_tarski(X1,X0) )
| ( k4_xboole_0(k2_tarski(X0,X0),k2_tarski(X1,X0)) != k2_tarski(X1,X1) ) ),
inference(superposition,[status(thm)],[c_54771,c_1738]) ).
tcf(c_176623,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( k3_tarski(k2_tarski(k2_tarski(X0,X0),k2_tarski(X1,X0))) = k3_tarski(k2_tarski(k2_tarski(X0,X0),k2_tarski(X1,X1))) ) ),
inference(superposition,[status(thm)],[c_54771,c_486]) ).
tcf(c_176624,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X2 = X3 )
| ( k3_tarski(k2_tarski(k2_zfmisc_1(k4_xboole_0(X0,X1),k2_tarski(X2,X3)),k2_zfmisc_1(X0,k2_tarski(X2,X2)))) = k4_xboole_0(k2_zfmisc_1(X0,k2_tarski(X2,X3)),k2_zfmisc_1(X1,k2_tarski(X3,X3))) ) ),
inference(superposition,[status(thm)],[c_54771,c_471]) ).
tcf(c_176625,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X2 )
| ( k3_tarski(k2_tarski(k4_xboole_0(X0,k2_tarski(X1,X1)),k2_tarski(X2,X2))) = k4_xboole_0(k3_tarski(k2_tarski(X0,k2_tarski(X2,X1))),k2_tarski(X1,X1)) ) ),
inference(superposition,[status(thm)],[c_54771,c_483]) ).
tcf(c_176632,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ r2_hidden(k4_xboole_0(k2_tarski(X0,X1),k2_tarski(X1,X1)),X0) ),
inference(superposition,[status(thm)],[c_54771,c_167634]) ).
tcf(c_176634,plain,
! [X0: $i,X1: $i] :
( r1_xboole_0(k1_setfam_1(k4_xboole_0(k2_tarski(X0,X1),k2_tarski(X1,X1))),k5_xboole_0(X0,X0))
| ( X0 = X1 ) ),
inference(superposition,[status(thm)],[c_54771,c_47705]) ).
tcf(c_176636,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( k5_xboole_0(X0,k5_xboole_0(X0,k3_tarski(k4_xboole_0(k2_tarski(X0,X1),k2_tarski(X1,X1))))) = k1_setfam_1(k4_xboole_0(k2_tarski(X0,X1),k2_tarski(X1,X1))) ) ),
inference(superposition,[status(thm)],[c_54771,c_50414]) ).
tcf(c_176637,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( k6_partfun1(k1_setfam_1(k4_xboole_0(k2_tarski(X0,X1),k2_tarski(X1,X1)))) = k5_relat_1(k6_partfun1(X0),k6_partfun1(X0)) ) ),
inference(superposition,[status(thm)],[c_54771,c_49266]) ).
tcf(c_176639,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( k3_tarski(k2_tarski(X0,k1_setfam_1(k4_xboole_0(k2_tarski(X0,X1),k2_tarski(X1,X1))))) = X0 ) ),
inference(superposition,[status(thm)],[c_54771,c_48096]) ).
tcf(c_176640,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(X0)
| ( X0 = X1 )
| ~ v1_xboole_0(k3_tarski(k4_xboole_0(k2_tarski(X0,X1),k2_tarski(X1,X1)))) ),
inference(superposition,[status(thm)],[c_54771,c_511]) ).
tcf(c_176643,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X0 = X1 )
| ( k3_tarski(k2_tarski(k4_xboole_0(k2_tarski(X0,X1),k2_tarski(X1,X1)),k2_tarski(X2,X3))) = k2_enumset1(X0,X0,X2,X3) ) ),
inference(superposition,[status(thm)],[c_54771,c_3627]) ).
tcf(c_176644,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( k4_xboole_0(k2_tarski(X0,X1),k2_tarski(X1,X1)) != np__0 ) ),
inference(superposition,[status(thm)],[c_54771,c_161595]) ).
tcf(c_176646,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k1_setfam_1(k4_xboole_0(k2_tarski(X0,X1),k2_tarski(X1,X1))),X0)
| ( X0 = X1 ) ),
inference(superposition,[status(thm)],[c_54771,c_162385]) ).
tcf(c_176649,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X1 )
| ( k3_tarski(k2_tarski(k4_xboole_0(k2_tarski(X0,X1),k2_tarski(X1,X1)),X2)) != np__0 ) ),
inference(superposition,[status(thm)],[c_54771,c_2679]) ).
tcf(c_176653,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ v1_xboole_0(k4_xboole_0(k2_tarski(X0,X1),k2_tarski(X1,X1))) ),
inference(superposition,[status(thm)],[c_54771,c_2655]) ).
tcf(c_176654,plain,
! [X0: $i,X1: $i] :
( v1_finset_1(k4_xboole_0(k2_tarski(X0,X1),k2_tarski(X1,X1)))
| ( X0 = X1 ) ),
inference(superposition,[status(thm)],[c_54771,c_1694]) ).
tcf(c_176655,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X1 )
| ( k3_tarski(k2_tarski(k3_tarski(k4_xboole_0(k2_tarski(X0,X1),k2_tarski(X1,X1))),X2)) = k3_tarski(k2_tarski(X0,k3_tarski(k2_tarski(X0,X2)))) ) ),
inference(superposition,[status(thm)],[c_54771,c_500]) ).
tcf(c_176656,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( k3_tarski(k2_tarski(X0,k3_tarski(k4_xboole_0(k2_tarski(X0,X1),k2_tarski(X1,X1))))) = k3_tarski(k4_xboole_0(k2_tarski(X0,X1),k2_tarski(X1,X1))) ) ),
inference(superposition,[status(thm)],[c_54771,c_498]) ).
tcf(c_176657,plain,
! [X0: $i,X1: $i] :
( ( X0 = np__0 )
| ( X0 = X1 )
| ( k3_tarski(k4_xboole_0(k2_tarski(X0,X1),k2_tarski(X1,X1))) != np__0 ) ),
inference(superposition,[status(thm)],[c_54771,c_487]) ).
tcf(c_176658,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( k4_xboole_0(k3_tarski(k4_xboole_0(k2_tarski(X0,X1),k2_tarski(X1,X1))),X0) = k4_xboole_0(X0,X0) ) ),
inference(superposition,[status(thm)],[c_54771,c_485]) ).
tcf(c_176659,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X2 )
| ( k3_tarski(k2_tarski(X0,k3_tarski(k4_xboole_0(k2_tarski(X1,X2),k2_tarski(X2,X2))))) = k3_tarski(k2_enumset1(X1,X1,X0,X1)) ) ),
inference(superposition,[status(thm)],[c_54771,c_174660]) ).
tcf(c_176661,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X2 )
| ( X0 = X1 )
| ( k4_xboole_0(k2_tarski(X0,X1),k2_tarski(X1,X1)) != k2_tarski(X2,X2) ) ),
inference(superposition,[status(thm)],[c_54771,c_50665]) ).
tcf(c_176663,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X2 )
| ( k4_xboole_0(X0,k3_tarski(k4_xboole_0(k2_tarski(X1,X2),k2_tarski(X2,X2)))) = k4_xboole_0(k4_xboole_0(X0,X1),X1) ) ),
inference(superposition,[status(thm)],[c_54771,c_484]) ).
tcf(c_176664,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X2 = X3 )
| ( k3_tarski(k2_tarski(k2_tarski(X0,X1),k4_xboole_0(k2_tarski(X2,X3),k2_tarski(X3,X3)))) = k2_enumset1(X0,X1,X2,X2) ) ),
inference(superposition,[status(thm)],[c_54771,c_3627]) ).
tcf(c_176666,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X2 )
| ( k3_tarski(k2_tarski(k4_xboole_0(X0,X1),k1_setfam_1(k4_xboole_0(k2_tarski(X0,X2),k2_tarski(X2,X2))))) = k4_xboole_0(X0,k4_xboole_0(X1,X0)) ) ),
inference(superposition,[status(thm)],[c_54771,c_52807]) ).
tcf(c_176667,plain,
! [X0: $i,X1: $i] :
( ( k4_xboole_0(X0,X0) = X1 )
| ( k3_tarski(k4_xboole_0(k2_tarski(k4_xboole_0(X0,X0),X1),k2_tarski(X1,X1))) = k5_xboole_0(X0,X0) ) ),
inference(superposition,[status(thm)],[c_54771,c_2624]) ).
tcf(c_176668,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k4_xboole_0(X0,X1) = X2 )
| ( k3_tarski(k4_xboole_0(k2_tarski(k4_xboole_0(X0,X1),X2),k2_tarski(X2,X2))) = k4_xboole_0(X0,k1_setfam_1(k2_tarski(X1,X1))) ) ),
inference(superposition,[status(thm)],[c_54771,c_52809]) ).
tcf(c_176669,plain,
! [X0: $i,X1: $i] :
( ( k5_finsub_1(X0) = X1 )
| ( k1_setfam_1(k4_xboole_0(k2_tarski(k5_finsub_1(X0),X1),k2_tarski(X1,X1))) = k5_finsub_1(k1_setfam_1(k2_tarski(X0,X0))) ) ),
inference(superposition,[status(thm)],[c_54771,c_52028]) ).
tcf(c_176670,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k2_zfmisc_1(X0,X1) = X2 )
| ( k3_tarski(k4_xboole_0(k2_tarski(k2_zfmisc_1(X0,X1),X2),k2_tarski(X2,X2))) = k2_zfmisc_1(X0,k3_tarski(k2_tarski(X1,X1))) ) ),
inference(superposition,[status(thm)],[c_54771,c_474]) ).
tcf(c_176671,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k2_zfmisc_1(X0,X1) = X2 )
| ( k3_tarski(k4_xboole_0(k2_tarski(k2_zfmisc_1(X0,X1),X2),k2_tarski(X2,X2))) = k2_zfmisc_1(k3_tarski(k2_tarski(X0,X0)),X1) ) ),
inference(superposition,[status(thm)],[c_54771,c_473]) ).
tcf(c_176672,plain,
! [X0: $i,X1: $i] :
( ( k1_zfmisc_1(X0) = X1 )
| ( k1_setfam_1(k4_xboole_0(k2_tarski(k1_zfmisc_1(X0),X1),k2_tarski(X1,X1))) = k1_zfmisc_1(k1_setfam_1(k2_tarski(X0,X0))) ) ),
inference(superposition,[status(thm)],[c_54771,c_52026]) ).
tcf(c_176673,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k3_tarski(k2_tarski(X0,X1)) = X2 )
| ( k3_tarski(k4_xboole_0(k2_tarski(k3_tarski(k2_tarski(X0,X1)),X2),k2_tarski(X2,X2))) = k3_tarski(k2_tarski(X0,k3_tarski(k2_tarski(X1,k3_tarski(k2_tarski(X0,X1)))))) ) ),
inference(superposition,[status(thm)],[c_54771,c_500]) ).
tcf(c_176674,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k4_xboole_0(X0,X1) = X2 )
| ( k3_tarski(k4_xboole_0(k2_tarski(k4_xboole_0(X0,X1),X2),k2_tarski(X2,X2))) = k4_xboole_0(k3_tarski(k2_tarski(X0,X0)),X1) ) ),
inference(superposition,[status(thm)],[c_54771,c_483]) ).
tcf(c_176675,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k3_tarski(k2_tarski(X0,X1)) = X2 )
| ( k3_tarski(k4_xboole_0(k2_tarski(k3_tarski(k2_tarski(X0,X1)),X2),k2_tarski(X2,X2))) = k3_tarski(k2_enumset1(X0,X1,k3_tarski(k2_tarski(X0,X1)),X1)) ) ),
inference(superposition,[status(thm)],[c_54771,c_174660]) ).
tcf(c_176676,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X2 )
| ( X0 = X1 )
| ( k4_xboole_0(k2_tarski(X0,X1),k2_tarski(X1,X1)) = k4_xboole_0(k2_tarski(X0,X2),k2_tarski(X2,X2)) ) ),
inference(superposition,[status(thm)],[c_54771,c_54771]) ).
tcf(c_176677,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X2 )
| ( X0 = X1 )
| ( k4_xboole_0(k4_xboole_0(k2_tarski(X0,X1),k2_tarski(X1,X1)),k2_tarski(X2,X2)) != np__0 ) ),
inference(superposition,[status(thm)],[c_54771,c_54022]) ).
tcf(c_176678,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( X0 = X1 )
| ( k3_tarski(k2_tarski(k4_xboole_0(k2_tarski(X0,X1),k2_tarski(X1,X1)),k2_enumset1(X2,X2,X3,X4))) = k2_enumset1(X0,X2,X3,X4) ) ),
inference(superposition,[status(thm)],[c_54771,c_53895]) ).
tcf(c_176679,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ r1_xboole_0(k4_xboole_0(k2_tarski(X0,X1),k2_tarski(X1,X1)),k4_xboole_0(k2_tarski(X0,X1),k2_tarski(X1,X1))) ),
inference(superposition,[status(thm)],[c_54771,c_48546]) ).
tcf(c_176680,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ v1_xboole_0(k3_tarski(k2_tarski(X0,k4_xboole_0(k2_tarski(X0,X1),k2_tarski(X1,X1))))) ),
inference(superposition,[status(thm)],[c_54771,c_47396]) ).
tcf(c_176681,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X2 )
| ~ r2_hidden(X0,k4_xboole_0(X1,k4_xboole_0(k2_tarski(X0,X2),k2_tarski(X2,X2)))) ),
inference(superposition,[status(thm)],[c_54771,c_47394]) ).
tcf(c_176682,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(X0,k3_tarski(k2_tarski(X2,k4_xboole_0(k2_tarski(X0,X1),k2_tarski(X1,X1)))))
| ( X0 = X1 ) ),
inference(superposition,[status(thm)],[c_54771,c_47393]) ).
tcf(c_176683,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2 = np__0 )
| ( X0 = X1 )
| ( k2_zfmisc_1(k4_xboole_0(k2_tarski(X0,X1),k2_tarski(X1,X1)),X2) != np__0 ) ),
inference(superposition,[status(thm)],[c_54771,c_51175]) ).
tcf(c_176684,plain,
! [X0: $i,X1: $i] :
( v1_finset_1(k1_zfmisc_1(k4_xboole_0(k2_tarski(X0,X1),k2_tarski(X1,X1))))
| ( X0 = X1 ) ),
inference(superposition,[status(thm)],[c_54771,c_170453]) ).
tcf(c_176685,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( k2_tarski(np__0,k4_xboole_0(k2_tarski(X0,X1),k2_tarski(X1,X1))) = k1_zfmisc_1(k4_xboole_0(k2_tarski(X0,X1),k2_tarski(X1,X1))) ) ),
inference(superposition,[status(thm)],[c_54771,c_50679]) ).
tcf(c_176686,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X2 = X3 )
| ( X0 = X1 )
| ( k4_xboole_0(k2_tarski(X0,X1),k2_tarski(X1,X1)) != k2_tarski(X2,X3) ) ),
inference(superposition,[status(thm)],[c_54771,c_50672]) ).
tcf(c_176687,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X0 = X2 )
| ( X0 = X1 )
| ( k4_xboole_0(k2_tarski(X0,X1),k2_tarski(X1,X1)) != k2_tarski(X2,X3) ) ),
inference(superposition,[status(thm)],[c_54771,c_50665]) ).
tcf(c_176688,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X1 )
| ( k4_xboole_0(k4_xboole_0(k2_tarski(X0,X1),k2_tarski(X1,X1)),k2_tarski(X0,X2)) = np__0 ) ),
inference(superposition,[status(thm)],[c_54771,c_48463]) ).
tcf(c_176689,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X1 )
| ( k4_xboole_0(k4_xboole_0(k2_tarski(X0,X1),k2_tarski(X1,X1)),k2_tarski(X2,X0)) = np__0 ) ),
inference(superposition,[status(thm)],[c_54771,c_48462]) ).
tcf(c_176690,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( k3_tarski(k2_tarski(X0,k4_xboole_0(k2_tarski(X0,X1),k2_tarski(X1,X1)))) != X0 ) ),
inference(superposition,[status(thm)],[c_54771,c_48232]) ).
tcf(c_176691,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X1 )
| ( k1_card_1(k1_funct_2(k4_xboole_0(k2_tarski(X0,X1),k2_tarski(X1,X1)),X2)) = k1_card_1(X2) ) ),
inference(superposition,[status(thm)],[c_54771,c_48215]) ).
tcf(c_176692,plain,
! [X0: $i,X1: $i] :
( v3_ordinal1(X0)
| ( X0 = X1 )
| ~ v3_ordinal1(k4_xboole_0(k2_tarski(X0,X1),k2_tarski(X1,X1))) ),
inference(superposition,[status(thm)],[c_54771,c_160347]) ).
tcf(c_176693,plain,
! [X0: $i,X1: $i] :
( r2_wellord2(k4_xboole_0(k2_tarski(X0,X1),k2_tarski(X1,X1)),k1_zfmisc_1(np__0))
| ( X0 = X1 ) ),
inference(superposition,[status(thm)],[c_54771,c_165676]) ).
tcf(c_176694,plain,
! [X0: $i,X1: $i] :
( r2_wellord2(k1_zfmisc_1(np__0),k4_xboole_0(k2_tarski(X0,X1),k2_tarski(X1,X1)))
| ( X0 = X1 ) ),
inference(superposition,[status(thm)],[c_54771,c_165675]) ).
tcf(c_176695,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_wellord2(k4_xboole_0(k2_tarski(X0,X1),k2_tarski(X1,X1)),k2_tarski(X2,X2))
| ( X0 = X1 ) ),
inference(superposition,[status(thm)],[c_54771,c_47591]) ).
tcf(c_176696,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k4_xboole_0(k2_tarski(X0,X1),k2_tarski(X1,X1)),k2_tarski(X2,X0))
| ( X0 = X1 ) ),
inference(superposition,[status(thm)],[c_54771,c_47412]) ).
tcf(c_176697,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k4_xboole_0(k2_tarski(X0,X1),k2_tarski(X1,X1)),k2_tarski(X0,X2))
| ( X0 = X1 ) ),
inference(superposition,[status(thm)],[c_54771,c_47411]) ).
tcf(c_176698,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( k1_setfam_1(k4_xboole_0(k2_tarski(X0,X1),k2_tarski(X1,X1))) = X0 ) ),
inference(superposition,[status(thm)],[c_54771,c_47410]) ).
tcf(c_176699,plain,
! [X0: $i,X1: $i] :
( v1_membered(k4_xboole_0(k2_tarski(X0,X1),k2_tarski(X1,X1)))
| ( X0 = X1 )
| ~ v1_xcmplx_0(X0) ),
inference(superposition,[status(thm)],[c_54771,c_47408]) ).
tcf(c_176700,plain,
! [X0: $i,X1: $i] :
( v2_membered(k4_xboole_0(k2_tarski(X0,X1),k2_tarski(X1,X1)))
| ( X0 = X1 )
| ~ v1_xreal_0(X0) ),
inference(superposition,[status(thm)],[c_54771,c_47407]) ).
tcf(c_176701,plain,
! [X0: $i,X1: $i] :
( v1_membered(k4_xboole_0(k2_tarski(X0,X1),k2_tarski(X1,X1)))
| ( X0 = X1 )
| ~ v1_xreal_0(X0) ),
inference(superposition,[status(thm)],[c_54771,c_47406]) ).
tcf(c_176702,plain,
! [X0: $i,X1: $i] :
( v4_membered(k4_xboole_0(k2_tarski(X0,X1),k2_tarski(X1,X1)))
| ( X0 = X1 )
| ~ v1_int_1(X0) ),
inference(superposition,[status(thm)],[c_54771,c_47405]) ).
tcf(c_176703,plain,
! [X0: $i,X1: $i] :
( v3_membered(k4_xboole_0(k2_tarski(X0,X1),k2_tarski(X1,X1)))
| ( X0 = X1 )
| ~ v1_int_1(X0) ),
inference(superposition,[status(thm)],[c_54771,c_47404]) ).
tcf(c_176704,plain,
! [X0: $i,X1: $i] :
( v2_membered(k4_xboole_0(k2_tarski(X0,X1),k2_tarski(X1,X1)))
| ( X0 = X1 )
| ~ v1_int_1(X0) ),
inference(superposition,[status(thm)],[c_54771,c_47403]) ).
tcf(c_176705,plain,
! [X0: $i,X1: $i] :
( v1_membered(k4_xboole_0(k2_tarski(X0,X1),k2_tarski(X1,X1)))
| ( X0 = X1 )
| ~ v1_int_1(X0) ),
inference(superposition,[status(thm)],[c_54771,c_47402]) ).
tcf(c_176706,plain,
! [X0: $i,X1: $i] :
( v5_membered(k4_xboole_0(k2_tarski(X0,X1),k2_tarski(X1,X1)))
| ( X0 = X1 )
| ~ v4_ordinal2(X0) ),
inference(superposition,[status(thm)],[c_54771,c_47401]) ).
tcf(c_176707,plain,
! [X0: $i,X1: $i] :
( v4_membered(k4_xboole_0(k2_tarski(X0,X1),k2_tarski(X1,X1)))
| ( X0 = X1 )
| ~ v4_ordinal2(X0) ),
inference(superposition,[status(thm)],[c_54771,c_47400]) ).
tcf(c_176708,plain,
! [X0: $i,X1: $i] :
( v3_membered(k4_xboole_0(k2_tarski(X0,X1),k2_tarski(X1,X1)))
| ( X0 = X1 )
| ~ v4_ordinal2(X0) ),
inference(superposition,[status(thm)],[c_54771,c_47399]) ).
tcf(c_176709,plain,
! [X0: $i,X1: $i] :
( v2_membered(k4_xboole_0(k2_tarski(X0,X1),k2_tarski(X1,X1)))
| ( X0 = X1 )
| ~ v4_ordinal2(X0) ),
inference(superposition,[status(thm)],[c_54771,c_47398]) ).
tcf(c_176710,plain,
! [X0: $i,X1: $i] :
( v1_membered(k4_xboole_0(k2_tarski(X0,X1),k2_tarski(X1,X1)))
| ( X0 = X1 )
| ~ v4_ordinal2(X0) ),
inference(superposition,[status(thm)],[c_54771,c_47397]) ).
tcf(c_176711,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k4_xboole_0(k2_tarski(X0,X1),k2_tarski(X1,X1)),k1_zfmisc_1(X0))
| ( X0 = X1 ) ),
inference(superposition,[status(thm)],[c_54771,c_47413]) ).
tcf(c_176712,plain,
! [X0: $i,X1: $i] :
( v1_realset1(k4_xboole_0(k2_tarski(X0,X1),k2_tarski(X1,X1)))
| ( X0 = X1 ) ),
inference(superposition,[status(thm)],[c_54771,c_47415]) ).
tcf(c_176713,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( k3_tarski(k4_xboole_0(k2_tarski(X0,X1),k2_tarski(X1,X1))) = X0 ) ),
inference(superposition,[status(thm)],[c_54771,c_502]) ).
tcf(c_176714,plain,
! [X0: $i,X1: $i] :
( v1_membered(k1_setfam_1(k4_xboole_0(k2_tarski(X0,X1),k2_tarski(X1,X1))))
| ( X0 = X1 )
| ~ v1_membered(X0) ),
inference(superposition,[status(thm)],[c_54771,c_47722]) ).
tcf(c_176715,plain,
! [X0: $i,X1: $i] :
( v2_membered(k1_setfam_1(k4_xboole_0(k2_tarski(X0,X1),k2_tarski(X1,X1))))
| ( X0 = X1 )
| ~ v2_membered(X0) ),
inference(superposition,[status(thm)],[c_54771,c_47721]) ).
tcf(c_176716,plain,
! [X0: $i,X1: $i] :
( v1_membered(k1_setfam_1(k4_xboole_0(k2_tarski(X0,X1),k2_tarski(X1,X1))))
| ( X0 = X1 )
| ~ v2_membered(X0) ),
inference(superposition,[status(thm)],[c_54771,c_47720]) ).
tcf(c_176717,plain,
! [X0: $i,X1: $i] :
( v3_membered(k1_setfam_1(k4_xboole_0(k2_tarski(X0,X1),k2_tarski(X1,X1))))
| ( X0 = X1 )
| ~ v3_membered(X0) ),
inference(superposition,[status(thm)],[c_54771,c_47719]) ).
tcf(c_176718,plain,
! [X0: $i,X1: $i] :
( v2_membered(k1_setfam_1(k4_xboole_0(k2_tarski(X0,X1),k2_tarski(X1,X1))))
| ( X0 = X1 )
| ~ v3_membered(X0) ),
inference(superposition,[status(thm)],[c_54771,c_47718]) ).
tcf(c_176719,plain,
! [X0: $i,X1: $i] :
( v1_membered(k1_setfam_1(k4_xboole_0(k2_tarski(X0,X1),k2_tarski(X1,X1))))
| ( X0 = X1 )
| ~ v3_membered(X0) ),
inference(superposition,[status(thm)],[c_54771,c_47717]) ).
tcf(c_176720,plain,
! [X0: $i,X1: $i] :
( v4_membered(k1_setfam_1(k4_xboole_0(k2_tarski(X0,X1),k2_tarski(X1,X1))))
| ( X0 = X1 )
| ~ v4_membered(X0) ),
inference(superposition,[status(thm)],[c_54771,c_47716]) ).
tcf(c_176721,plain,
! [X0: $i,X1: $i] :
( v3_membered(k1_setfam_1(k4_xboole_0(k2_tarski(X0,X1),k2_tarski(X1,X1))))
| ( X0 = X1 )
| ~ v4_membered(X0) ),
inference(superposition,[status(thm)],[c_54771,c_47715]) ).
tcf(c_176722,plain,
! [X0: $i,X1: $i] :
( v2_membered(k1_setfam_1(k4_xboole_0(k2_tarski(X0,X1),k2_tarski(X1,X1))))
| ( X0 = X1 )
| ~ v4_membered(X0) ),
inference(superposition,[status(thm)],[c_54771,c_47714]) ).
tcf(c_176723,plain,
! [X0: $i,X1: $i] :
( v1_membered(k1_setfam_1(k4_xboole_0(k2_tarski(X0,X1),k2_tarski(X1,X1))))
| ( X0 = X1 )
| ~ v4_membered(X0) ),
inference(superposition,[status(thm)],[c_54771,c_47713]) ).
tcf(c_176724,plain,
! [X0: $i,X1: $i] :
( v5_membered(k1_setfam_1(k4_xboole_0(k2_tarski(X0,X1),k2_tarski(X1,X1))))
| ( X0 = X1 )
| ~ v5_membered(X0) ),
inference(superposition,[status(thm)],[c_54771,c_47712]) ).
tcf(c_176725,plain,
! [X0: $i,X1: $i] :
( v4_membered(k1_setfam_1(k4_xboole_0(k2_tarski(X0,X1),k2_tarski(X1,X1))))
| ( X0 = X1 )
| ~ v5_membered(X0) ),
inference(superposition,[status(thm)],[c_54771,c_47711]) ).
tcf(c_176726,plain,
! [X0: $i,X1: $i] :
( v3_membered(k1_setfam_1(k4_xboole_0(k2_tarski(X0,X1),k2_tarski(X1,X1))))
| ( X0 = X1 )
| ~ v5_membered(X0) ),
inference(superposition,[status(thm)],[c_54771,c_47710]) ).
tcf(c_176727,plain,
! [X0: $i,X1: $i] :
( v2_membered(k1_setfam_1(k4_xboole_0(k2_tarski(X0,X1),k2_tarski(X1,X1))))
| ( X0 = X1 )
| ~ v5_membered(X0) ),
inference(superposition,[status(thm)],[c_54771,c_47709]) ).
tcf(c_176728,plain,
! [X0: $i,X1: $i] :
( v1_membered(k1_setfam_1(k4_xboole_0(k2_tarski(X0,X1),k2_tarski(X1,X1))))
| ( X0 = X1 )
| ~ v5_membered(X0) ),
inference(superposition,[status(thm)],[c_54771,c_47708]) ).
tcf(c_176729,plain,
! [X0: $i,X1: $i] :
( v1_relat_1(k1_setfam_1(k4_xboole_0(k2_tarski(X0,X1),k2_tarski(X1,X1))))
| ( X0 = X1 )
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_54771,c_47707]) ).
tcf(c_176730,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( k3_tarski(k2_tarski(k5_xboole_0(X0,X0),k1_setfam_1(k4_xboole_0(k2_tarski(X0,X1),k2_tarski(X1,X1))))) = k3_tarski(k4_xboole_0(k2_tarski(X0,X1),k2_tarski(X1,X1))) ) ),
inference(superposition,[status(thm)],[c_54771,c_51640]) ).
tcf(c_176731,plain,
! [X0: $i,X1: $i] :
( v1_finset_1(k1_setfam_1(k4_xboole_0(k2_tarski(X0,X1),k2_tarski(X1,X1))))
| ( X0 = X1 )
| ~ v1_finset_1(X0) ),
inference(superposition,[status(thm)],[c_54771,c_47706]) ).
tcf(c_176732,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( k4_xboole_0(k3_tarski(k4_xboole_0(k2_tarski(X0,X1),k2_tarski(X1,X1))),k1_setfam_1(k4_xboole_0(k2_tarski(X0,X1),k2_tarski(X1,X1)))) = k5_xboole_0(X0,X0) ) ),
inference(superposition,[status(thm)],[c_54771,c_51197]) ).
tcf(c_176733,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( k5_xboole_0(X0,k1_setfam_1(k4_xboole_0(k2_tarski(X0,X1),k2_tarski(X1,X1)))) = k4_xboole_0(X0,X0) ) ),
inference(superposition,[status(thm)],[c_54771,c_48956]) ).
tcf(c_176734,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( k4_xboole_0(X0,k1_setfam_1(k4_xboole_0(k2_tarski(X0,X1),k2_tarski(X1,X1)))) = k4_xboole_0(X0,X0) ) ),
inference(superposition,[status(thm)],[c_54771,c_48904]) ).
tcf(c_176735,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( k4_xboole_0(k4_xboole_0(k2_tarski(X0,X1),k2_tarski(X1,X1)),k4_xboole_0(k2_tarski(X0,X1),k2_tarski(X1,X1))) = np__0 ) ),
inference(superposition,[status(thm)],[c_54771,c_48462]) ).
tcf(c_176736,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k4_xboole_0(k2_tarski(X0,X1),k2_tarski(X1,X1)),k4_xboole_0(k2_tarski(X0,X1),k2_tarski(X1,X1)))
| ( X0 = X1 ) ),
inference(superposition,[status(thm)],[c_54771,c_47412]) ).
tcf(c_176737,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,k3_tarski(k4_xboole_0(k2_tarski(X0,X1),k2_tarski(X1,X1))))
| ( X0 = X1 ) ),
inference(superposition,[status(thm)],[c_54771,c_162055]) ).
tcf(c_176738,plain,
! [X0: $i,X1: $i] :
( m1_subset_1(X0,k4_xboole_0(k2_tarski(X0,X1),k2_tarski(X1,X1)))
| ( X0 = X1 ) ),
inference(superposition,[status(thm)],[c_54771,c_161352]) ).
tcf(c_176739,plain,
! [X0: $i,X1: $i] :
( r2_hidden(X0,k4_xboole_0(k2_tarski(X0,X1),k2_tarski(X1,X1)))
| ( X0 = X1 ) ),
inference(superposition,[status(thm)],[c_54771,c_2712]) ).
tcf(c_176740,plain,
! [X0: $i,X1: $i] :
( ( k3_tarski(X0) = X1 )
| ( k3_tarski(k4_xboole_0(k2_tarski(k3_tarski(X0),X1),k2_tarski(X1,X1))) = k3_tarski(k3_tarski(k2_tarski(X0,X0))) ) ),
inference(superposition,[status(thm)],[c_54771,c_2509]) ).
tcf(c_176741,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X2 )
| ( X0 = X1 )
| ( k4_xboole_0(k2_tarski(X0,X1),k4_xboole_0(k2_tarski(X1,X2),k2_tarski(X2,X2))) = k2_tarski(X0,X0) ) ),
inference(superposition,[status(thm)],[c_54771,c_54771]) ).
tcf(c_176742,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X2 )
| ( X0 = X1 )
| ( k4_xboole_0(k2_tarski(X0,X0),k4_xboole_0(k2_tarski(X1,X2),k2_tarski(X2,X2))) != np__0 ) ),
inference(superposition,[status(thm)],[c_54771,c_54022]) ).
tcf(c_176743,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2 = np__0 )
| ( X0 = X1 )
| ( k4_xboole_0(k2_tarski(X0,X1),k2_tarski(X1,X1)) = k2_relat_1(sK46(X2,X0)) ) ),
inference(superposition,[status(thm)],[c_54771,c_51182]) ).
tcf(c_176744,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X2 )
| ( X0 = np__0 )
| ( k2_zfmisc_1(X0,k4_xboole_0(k2_tarski(X1,X2),k2_tarski(X2,X2))) != np__0 ) ),
inference(superposition,[status(thm)],[c_54771,c_51168]) ).
tcf(c_176745,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_wellord2(k2_tarski(X2,X2),k4_xboole_0(k2_tarski(X0,X1),k2_tarski(X1,X1)))
| ( X0 = X1 ) ),
inference(superposition,[status(thm)],[c_54771,c_47591]) ).
tcf(c_176746,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_wellord2(X2,k1_funct_2(k4_xboole_0(k2_tarski(X0,X1),k2_tarski(X1,X1)),X2))
| ( X0 = X1 ) ),
inference(superposition,[status(thm)],[c_54771,c_47416]) ).
tcf(c_176747,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k2_tarski(X0,X1) = X2 )
| ( k3_tarski(k4_xboole_0(k2_tarski(k2_tarski(X0,X1),X2),k2_tarski(X2,X2))) != np__0 ) ),
inference(superposition,[status(thm)],[c_54771,c_2679]) ).
tcf(c_176748,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k2_tarski(X0,X1) = X2 )
| ( k3_tarski(k4_xboole_0(k2_tarski(k2_tarski(X0,X1),X2),k2_tarski(X2,X2))) = k2_enumset1(X0,X1,X0,X1) ) ),
inference(superposition,[status(thm)],[c_54771,c_3627]) ).
tcf(c_176749,plain,
! [X0: $i,X1: $i] :
( r2_hidden(X0,k3_tarski(k4_xboole_0(k2_tarski(k2_tarski(X0,X0),X1),k2_tarski(X1,X1))))
| ( k2_tarski(X0,X0) = X1 ) ),
inference(superposition,[status(thm)],[c_54771,c_47393]) ).
tcf(c_176750,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k4_xboole_0(X0,X1) = X2 )
| ( k1_setfam_1(k4_xboole_0(k2_tarski(k4_xboole_0(X0,X1),X2),k2_tarski(X2,X2))) = k4_xboole_0(k1_setfam_1(k2_tarski(X0,k4_xboole_0(X0,X1))),X1) ) ),
inference(superposition,[status(thm)],[c_54771,c_52024]) ).
tcf(c_176751,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( X3 = X4 )
| ( k3_tarski(k2_tarski(k2_enumset1(X0,X0,X1,X2),k4_xboole_0(k2_tarski(X3,X4),k2_tarski(X4,X4)))) = k2_enumset1(X0,X1,X2,X3) ) ),
inference(superposition,[status(thm)],[c_54771,c_54517]) ).
tcf(c_176951,plain,
! [X0: $i,X1: $i] :
( r1_xboole_0(k1_setfam_1(k4_xboole_0(k2_tarski(X0,X1),k2_tarski(X1,X1))),np__0)
| ( X0 = X1 ) ),
inference(light_normalisation,[status(thm)],[c_176634,c_2612]) ).
tcf(c_176968,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( k4_xboole_0(X0,k1_setfam_1(k4_xboole_0(k2_tarski(X0,X1),k2_tarski(X1,X1)))) = np__0 ) ),
inference(light_normalisation,[status(thm)],[c_176734,c_45740]) ).
tcf(c_176971,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( k5_xboole_0(X0,k1_setfam_1(k4_xboole_0(k2_tarski(X0,X1),k2_tarski(X1,X1)))) = np__0 ) ),
inference(light_normalisation,[status(thm)],[c_176733,c_45740]) ).
tcf(c_176974,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( k4_xboole_0(k3_tarski(k4_xboole_0(k2_tarski(X0,X1),k2_tarski(X1,X1))),X0) = np__0 ) ),
inference(light_normalisation,[status(thm)],[c_176658,c_45740]) ).
tcf(c_176984,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( k6_partfun1(k1_setfam_1(k4_xboole_0(k2_tarski(X0,X1),k2_tarski(X1,X1)))) = k6_partfun1(X0) ) ),
inference(light_normalisation,[status(thm)],[c_176637,c_169419]) ).
tcf(c_176993,plain,
! [X0: $i,X1: $i] :
( ( k3_tarski(X0) = X1 )
| ( k3_tarski(k4_xboole_0(k2_tarski(k3_tarski(X0),X1),k2_tarski(X1,X1))) = k3_tarski(X0) ) ),
inference(light_normalisation,[status(thm)],[c_176740,c_502]) ).
tcf(c_177005,plain,
! [X0: $i,X1: $i] :
( ( k1_zfmisc_1(X0) = X1 )
| ( k1_setfam_1(k4_xboole_0(k2_tarski(k1_zfmisc_1(X0),X1),k2_tarski(X1,X1))) = k1_zfmisc_1(X0) ) ),
inference(light_normalisation,[status(thm)],[c_176672,c_47410]) ).
tcf(c_177008,plain,
! [X0: $i,X1: $i] :
( ( k5_finsub_1(X0) = X1 )
| ( k1_setfam_1(k4_xboole_0(k2_tarski(k5_finsub_1(X0),X1),k2_tarski(X1,X1))) = k5_finsub_1(X0) ) ),
inference(light_normalisation,[status(thm)],[c_176669,c_47410]) ).
tcf(c_177011,plain,
! [X0: $i] :
( ( X0 = np__0 )
| ( k3_tarski(k4_xboole_0(k2_tarski(np__0,X0),k2_tarski(X0,X0))) = np__0 ) ),
inference(light_normalisation,[status(thm)],[c_176667,c_2612,c_45740]) ).
tcf(c_177014,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X2 )
| ( k4_xboole_0(X0,k3_tarski(k4_xboole_0(k2_tarski(X1,X2),k2_tarski(X2,X2)))) = k4_xboole_0(X0,X1) ) ),
inference(light_normalisation,[status(thm)],[c_176663,c_159248]) ).
tcf(c_177022,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( k4_xboole_0(k2_tarski(X0,X1),k2_tarski(X0,X0)) = k4_xboole_0(k2_tarski(X1,X1),np__0) ) ),
inference(light_normalisation,[status(thm)],[c_176610,c_168485]) ).
tcf(c_177033,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k2_tarski(X0,X1) = X2 )
| ( k3_tarski(k4_xboole_0(k2_tarski(k2_tarski(X0,X1),X2),k2_tarski(X2,X2))) = k2_tarski(X0,X1) ) ),
inference(light_normalisation,[status(thm)],[c_176748,c_166180]) ).
tcf(c_177050,plain,
! [X0: $i] :
( ( k2_tarski(X0,X0) = np__0 )
| ( k4_xboole_0(k1_zfmisc_1(k2_tarski(X0,X0)),k2_tarski(k2_tarski(X0,X0),k2_tarski(X0,X0))) = k1_zfmisc_1(np__0) ) ),
inference(light_normalisation,[status(thm)],[c_176579,c_47417]) ).
tcf(c_177051,plain,
! [X0: $i] : k4_xboole_0(k1_zfmisc_1(k2_tarski(X0,X0)),k2_tarski(k2_tarski(X0,X0),k2_tarski(X0,X0))) = k1_zfmisc_1(np__0),
inference(forward_subsumption_resolution,[status(thm)],[c_177050,c_161595]) ).
tcf(c_177058,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k4_xboole_0(X0,X1) = X2 )
| ( k3_tarski(k4_xboole_0(k2_tarski(k4_xboole_0(X0,X1),X2),k2_tarski(X2,X2))) = k4_xboole_0(X0,X1) ) ),
inference(light_normalisation,[status(thm)],[c_176674,c_502]) ).
tcf(c_177061,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k2_zfmisc_1(X0,X1) = X2 )
| ( k3_tarski(k4_xboole_0(k2_tarski(k2_zfmisc_1(X0,X1),X2),k2_tarski(X2,X2))) = k2_zfmisc_1(X0,X1) ) ),
inference(light_normalisation,[status(thm)],[c_176671,c_502]) ).
tcf(c_177076,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( k2_tarski(X0,X1) = k2_tarski(X1,X1) )
| ( k2_tarski(X0,X0) != np__0 ) ),
inference(light_normalisation,[status(thm)],[c_176622,c_48462]) ).
tcf(c_177077,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( k5_xboole_0(k2_tarski(X0,X0),k2_tarski(X1,X0)) = k3_tarski(k2_tarski(np__0,k2_tarski(X1,X1))) ) ),
inference(light_normalisation,[status(thm)],[c_176620,c_48462]) ).
tcf(c_177082,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k4_xboole_0(X0,X1) = X2 )
| ( k1_setfam_1(k4_xboole_0(k2_tarski(k4_xboole_0(X0,X1),X2),k2_tarski(X2,X2))) = k4_xboole_0(X0,X1) ) ),
inference(light_normalisation,[status(thm)],[c_176750,c_159248,c_168526]) ).
tcf(c_177085,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( k4_xboole_0(k3_tarski(k4_xboole_0(k2_tarski(X0,X1),k2_tarski(X1,X1))),k1_setfam_1(k4_xboole_0(k2_tarski(X0,X1),k2_tarski(X1,X1)))) = np__0 ) ),
inference(light_normalisation,[status(thm)],[c_176732,c_2612]) ).
tcf(c_177100,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( k3_tarski(k2_tarski(np__0,k1_setfam_1(k4_xboole_0(k2_tarski(X0,X1),k2_tarski(X1,X1))))) = k3_tarski(k4_xboole_0(k2_tarski(X0,X1),k2_tarski(X1,X1))) ) ),
inference(light_normalisation,[status(thm)],[c_176730,c_2612]) ).
tcf(c_177103,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k3_tarski(k2_tarski(X0,X1)) = X2 )
| ( k3_tarski(k4_xboole_0(k2_tarski(k3_tarski(k2_tarski(X0,X1)),X2),k2_tarski(X2,X2))) = k3_tarski(k2_tarski(X0,X1)) ) ),
inference(light_normalisation,[status(thm)],[c_176675,c_174722]) ).
tcf(c_177247,plain,
! [X0: $i,X1: $i] :
( v1_xreal_0(X0)
| ~ v2_membered(k1_zfmisc_1(X1))
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_562,c_1535]) ).
tcf(c_177248,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,X1)
| v1_xreal_0(sK82(X0,X1))
| ~ v2_membered(X0) ),
inference(superposition,[status(thm)],[c_572,c_1535]) ).
tcf(c_177249,plain,
! [X0: $i] :
( v1_xreal_0(sK114(X0))
| ( X0 = np__0 )
| ~ v2_membered(X0) ),
inference(superposition,[status(thm)],[c_697,c_1535]) ).
tcf(c_177250,plain,
! [X0: $i] :
( v1_xreal_0(sK127(X0))
| ( X0 = np__0 )
| ~ v2_membered(X0) ),
inference(superposition,[status(thm)],[c_758,c_1535]) ).
tcf(c_177251,plain,
! [X0: $i] :
( sP9(X0)
| v1_funct_1(X0)
| v1_xreal_0(sK133(X0))
| ~ v2_membered(X0) ),
inference(superposition,[status(thm)],[c_769,c_1535]) ).
tcf(c_177252,plain,
! [X0: $i] :
( sP9(X0)
| v1_relat_1(X0)
| v1_xreal_0(sK133(X0))
| ~ v2_membered(X0) ),
inference(superposition,[status(thm)],[c_767,c_1535]) ).
tcf(c_177253,plain,
! [X0: $i] :
( v1_relat_1(X0)
| v1_xreal_0(sK146(X0))
| ~ v2_membered(X0) ),
inference(superposition,[status(thm)],[c_787,c_1535]) ).
tcf(c_177254,plain,
! [X0: $i] :
( v1_xreal_0(sK223(X0))
| v5_membered(k3_tarski(X0))
| ~ v2_membered(X0) ),
inference(superposition,[status(thm)],[c_1321,c_1535]) ).
tcf(c_177256,plain,
! [X0: $i] :
( v5_membered(X0)
| v1_xreal_0(sK229(X0))
| ~ v2_membered(X0) ),
inference(superposition,[status(thm)],[c_1342,c_1535]) ).
tcf(c_177257,plain,
! [X0: $i] :
( v1_xreal_0(sK231(X0))
| v4_membered(k3_tarski(X0))
| ~ v2_membered(X0) ),
inference(superposition,[status(thm)],[c_1413,c_1535]) ).
tcf(c_177259,plain,
! [X0: $i] :
( v4_membered(X0)
| v1_xreal_0(sK237(X0))
| ~ v2_membered(X0) ),
inference(superposition,[status(thm)],[c_1434,c_1535]) ).
tcf(c_177260,plain,
! [X0: $i] :
( v1_xreal_0(sK238(X0))
| v3_membered(k3_tarski(X0))
| ~ v2_membered(X0) ),
inference(superposition,[status(thm)],[c_1483,c_1535]) ).
tcf(c_177261,plain,
! [X0: $i] :
( v1_xreal_0(sK239(X0))
| v2_membered(k3_tarski(X0))
| ~ v2_membered(X0) ),
inference(superposition,[status(thm)],[c_1513,c_1535]) ).
tcf(c_177264,plain,
! [X0: $i] :
( v1_xreal_0(sK246(X0))
| v1_membered(k3_tarski(X0))
| ~ v2_membered(X0) ),
inference(superposition,[status(thm)],[c_1559,c_1535]) ).
tcf(c_177265,plain,
! [X0: $i] :
( v1_membered(X0)
| v1_xreal_0(sK251(X0))
| ~ v2_membered(X0) ),
inference(superposition,[status(thm)],[c_1577,c_1535]) ).
tcf(c_177266,plain,
! [X0: $i] :
( v1_realset1(X0)
| v1_xreal_0(sK315(X0))
| ~ v2_membered(X0) ),
inference(superposition,[status(thm)],[c_1986,c_1535]) ).
tcf(c_177267,plain,
! [X0: $i] :
( v1_realset1(X0)
| v1_xreal_0(sK316(X0))
| ~ v2_membered(X0) ),
inference(superposition,[status(thm)],[c_1987,c_1535]) ).
tcf(c_177268,plain,
! [X0: $i] :
( v1_xreal_0(sK381(X0))
| ( X0 = np__0 )
| ~ v2_membered(X0) ),
inference(superposition,[status(thm)],[c_2399,c_1535]) ).
tcf(c_177269,plain,
! [X0: $i] :
( v1_xreal_0(sK382(X0))
| ( X0 = np__0 )
| ~ v2_membered(X0) ),
inference(superposition,[status(thm)],[c_2401,c_1535]) ).
tcf(c_177270,plain,
! [X0: $i] :
( v1_xreal_0(sK383(X0))
| ( X0 = np__0 )
| ~ v2_membered(X0) ),
inference(superposition,[status(thm)],[c_2403,c_1535]) ).
tcf(c_177271,plain,
! [X0: $i] :
( v1_xreal_0(sK384(X0))
| ( X0 = np__0 )
| ~ v2_membered(X0) ),
inference(superposition,[status(thm)],[c_2405,c_1535]) ).
tcf(c_177272,plain,
! [X0: $i] :
( v1_xreal_0(sK385(X0))
| ( X0 = np__0 )
| ~ v2_membered(X0) ),
inference(superposition,[status(thm)],[c_2407,c_1535]) ).
tcf(c_177273,plain,
! [X0: $i] :
( v1_xreal_0(sK386(X0))
| ( X0 = np__0 )
| ~ v2_membered(X0) ),
inference(superposition,[status(thm)],[c_2409,c_1535]) ).
tcf(c_177274,plain,
! [X0: $i,X1: $i] :
( r1_xboole_0(X0,X1)
| v1_xreal_0(sK392(X0,X1))
| ~ v2_membered(X0) ),
inference(superposition,[status(thm)],[c_2475,c_1535]) ).
tcf(c_177275,plain,
! [X0: $i,X1: $i] :
( r1_xboole_0(X1,X0)
| v1_xreal_0(sK392(X1,X0))
| ~ v2_membered(X0) ),
inference(superposition,[status(thm)],[c_2476,c_1535]) ).
tcf(c_177276,plain,
! [X0: $i] :
( v3_ordinal1(k3_tarski(X0))
| v1_xreal_0(sK395(X0))
| ~ v2_membered(X0) ),
inference(superposition,[status(thm)],[c_2503,c_1535]) ).
tcf(c_177277,plain,
! [X0: $i] :
( v3_ordinal1(k1_setfam_1(X0))
| v1_xreal_0(sK400(X0))
| ~ v2_membered(X0) ),
inference(superposition,[status(thm)],[c_2531,c_1535]) ).
tcf(c_177279,plain,
! [X0: $i,X1: $i] :
( v1_xreal_0(X0)
| ~ v2_membered(k2_tarski(X0,X1)) ),
inference(superposition,[status(thm)],[c_2711,c_1535]) ).
tcf(c_177280,plain,
! [X0: $i,X1: $i] :
( v1_xreal_0(X1)
| ~ v2_membered(k2_tarski(X0,X1)) ),
inference(superposition,[status(thm)],[c_2712,c_1535]) ).
tcf(c_177281,plain,
! [X0: $i] :
( v1_xreal_0(X0)
| ~ v2_membered(k4_numbers)
| ~ v1_int_1(X0) ),
inference(superposition,[status(thm)],[c_2723,c_1535]) ).
tcf(c_177283,plain,
! [X0: $i] :
( v1_xreal_0(k1_card_1(X0))
| ~ v2_membered(k1_card_1(k1_zfmisc_1(X0))) ),
inference(superposition,[status(thm)],[c_2813,c_1535]) ).
tcf(c_177284,plain,
! [X0: $i] :
( v3_ordinal1(sK549(X0))
| v1_xreal_0(sK549(X0))
| ~ v2_membered(X0) ),
inference(superposition,[status(thm)],[c_3503,c_1535]) ).
tcf(c_177285,plain,
! [X0: $i] :
( v3_ordinal1(sK551(X0))
| v1_xreal_0(sK550(X0))
| ~ v2_membered(X0) ),
inference(superposition,[status(thm)],[c_3507,c_1535]) ).
tcf(c_177286,plain,
! [X0: $i] :
( v3_ordinal1(X0)
| v1_xreal_0(sK552(X0))
| ~ v2_membered(X0) ),
inference(superposition,[status(thm)],[c_3509,c_1535]) ).
tcf(c_177287,plain,
! [X0: $i] :
( v4_finsub_1(X0)
| v1_xreal_0(sK558(X0))
| ~ v2_membered(X0) ),
inference(superposition,[status(thm)],[c_3603,c_1535]) ).
tcf(c_177288,plain,
! [X0: $i] :
( v4_finsub_1(X0)
| v1_xreal_0(sK559(X0))
| ~ v2_membered(X0) ),
inference(superposition,[status(thm)],[c_3604,c_1535]) ).
tcf(c_177289,plain,
! [X0: $i,X1: $i] :
( v1_xreal_0(X1)
| ~ v2_membered(k3_tarski(k2_tarski(X0,k2_tarski(X1,X1)))) ),
inference(superposition,[status(thm)],[c_47393,c_1535]) ).
tcf(c_177294,plain,
! [X0: $i] :
( v4_finsub_1(X0)
| v1_xreal_0(sK92(X0))
| ~ v2_membered(X0) ),
inference(superposition,[status(thm)],[c_167549,c_1535]) ).
tcf(c_177295,plain,
! [X0: $i] :
( v3_ordinal1(X0)
| v1_xreal_0(sK92(X0))
| ~ v2_membered(X0) ),
inference(superposition,[status(thm)],[c_167548,c_1535]) ).
tcf(c_177296,plain,
! [X0: $i] :
( v1_realset1(X0)
| v1_xreal_0(sK92(X0))
| ~ v2_membered(X0) ),
inference(superposition,[status(thm)],[c_167537,c_1535]) ).
tcf(c_177297,plain,
! [X0: $i] :
( v1_membered(X0)
| v1_xreal_0(sK92(X0))
| ~ v2_membered(X0) ),
inference(superposition,[status(thm)],[c_167536,c_1535]) ).
tcf(c_177299,plain,
! [X0: $i] :
( v4_membered(X0)
| v1_xreal_0(sK92(X0))
| ~ v2_membered(X0) ),
inference(superposition,[status(thm)],[c_167531,c_1535]) ).
tcf(c_177300,plain,
! [X0: $i] :
( v5_membered(X0)
| v1_xreal_0(sK92(X0))
| ~ v2_membered(X0) ),
inference(superposition,[status(thm)],[c_167529,c_1535]) ).
tcf(c_177301,plain,
! [X0: $i] :
( v1_relat_1(X0)
| v1_xreal_0(sK92(X0))
| ~ v2_membered(X0) ),
inference(superposition,[status(thm)],[c_167527,c_1535]) ).
tcf(c_177306,plain,
( v1_xreal_0(u1_struct_0(sK39))
| ~ v2_membered(k1_zfmisc_1(u1_struct_0(sK39))) ),
inference(superposition,[status(thm)],[c_174327,c_1535]) ).
tcf(c_177307,plain,
( v1_xreal_0(sK92(k1_zfmisc_1(u1_struct_0(sK39))))
| ~ v2_membered(k1_zfmisc_1(u1_struct_0(sK39))) ),
inference(superposition,[status(thm)],[c_174640,c_1535]) ).
tcf(c_177511,plain,
! [X0: $i,X1: $i] :
( v1_xcmplx_0(X1)
| ~ v2_membered(X0)
| ~ v1_xboole_0(X1)
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_589,c_1550]) ).
tcf(c_177512,plain,
! [X0: $i] :
( v1_xcmplx_0(sK52(X0))
| ~ v2_membered(X0) ),
inference(superposition,[status(thm)],[c_161,c_1550]) ).
tcf(c_177513,plain,
! [X0: $i] :
( v1_xcmplx_0(k1_pre_topc(X0))
| ~ l1_struct_0(X0)
| ~ v2_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_323,c_1550]) ).
tcf(c_177514,plain,
! [X0: $i] :
( v1_xcmplx_0(k2_pre_topc(X0))
| ~ l1_struct_0(X0)
| ~ v2_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_341,c_1550]) ).
tcf(c_177517,plain,
! [X0: $i,X1: $i] :
( v1_xcmplx_0(X0)
| ~ v2_membered(k1_zfmisc_1(X1))
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_540,c_1550]) ).
tcf(c_177518,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| v1_xcmplx_0(sK87(X0))
| ~ v2_membered(k1_zfmisc_1(X0)) ),
inference(superposition,[status(thm)],[c_593,c_1550]) ).
tcf(c_177520,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| v1_xcmplx_0(sK255(X0))
| ~ v2_membered(k5_finsub_1(X0)) ),
inference(superposition,[status(thm)],[c_1633,c_1550]) ).
tcf(c_177521,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| v1_xcmplx_0(sK256(X0))
| ~ v2_membered(k5_finsub_1(X0)) ),
inference(superposition,[status(thm)],[c_1637,c_1550]) ).
tcf(c_177522,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| v1_xcmplx_0(sK258(X0))
| ~ v2_membered(k5_finsub_1(X0)) ),
inference(superposition,[status(thm)],[c_1642,c_1550]) ).
tcf(c_177523,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| v1_xcmplx_0(sK264(X0))
| ~ v2_membered(k1_zfmisc_1(X0)) ),
inference(superposition,[status(thm)],[c_1687,c_1550]) ).
tcf(c_177524,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| v1_xcmplx_0(sK265(X0))
| ~ v2_membered(k1_zfmisc_1(X0)) ),
inference(superposition,[status(thm)],[c_1695,c_1550]) ).
tcf(c_177525,plain,
! [X0: $i] :
( v1_xcmplx_0(k2_finseq_1(X0))
| ~ v4_ordinal2(X0)
| ~ v2_membered(k1_zfmisc_1(k5_numbers)) ),
inference(superposition,[status(thm)],[c_2552,c_1550]) ).
tcf(c_177527,plain,
! [X0: $i] :
( v4_finsub_1(X0)
| v1_xcmplx_0(sK407(X0))
| ~ v2_membered(X0) ),
inference(superposition,[status(thm)],[c_170030,c_1550]) ).
tcf(c_177528,plain,
! [X0: $i] :
( v4_finsub_1(X0)
| v1_xcmplx_0(sK406(X0))
| ~ v2_membered(X0) ),
inference(superposition,[status(thm)],[c_170056,c_1550]) ).
tcf(c_177529,plain,
! [X0: $i] :
( v4_finsub_1(X0)
| v1_xcmplx_0(sK409(X0))
| ~ v2_membered(X0) ),
inference(superposition,[status(thm)],[c_170082,c_1550]) ).
tcf(c_177530,plain,
! [X0: $i] :
( v4_finsub_1(X0)
| v1_xcmplx_0(sK408(X0))
| ~ v2_membered(X0) ),
inference(superposition,[status(thm)],[c_170173,c_1550]) ).
tcf(c_177531,plain,
! [X0: $i] :
( v4_finsub_1(X0)
| v1_xcmplx_0(sK411(X0))
| ~ v2_membered(X0) ),
inference(superposition,[status(thm)],[c_170199,c_1550]) ).
tcf(c_177532,plain,
! [X0: $i] :
( v4_finsub_1(X0)
| v1_xcmplx_0(sK410(X0))
| ~ v2_membered(X0) ),
inference(superposition,[status(thm)],[c_170225,c_1550]) ).
tcf(c_177534,plain,
! [X0: $i] :
( v1_xcmplx_0(X0)
| ~ v2_membered(k4_numbers)
| ~ v1_int_1(X0) ),
inference(superposition,[status(thm)],[c_161353,c_1550]) ).
tcf(c_177539,plain,
! [X0: $i] :
( v1_relat_1(X0)
| v1_xcmplx_0(sK146(X0))
| ~ v2_membered(X0) ),
inference(superposition,[status(thm)],[c_161344,c_1550]) ).
tcf(c_177540,plain,
! [X0: $i] :
( v5_membered(X0)
| v1_xcmplx_0(sK229(X0))
| ~ v2_membered(X0) ),
inference(superposition,[status(thm)],[c_161345,c_1550]) ).
tcf(c_177541,plain,
! [X0: $i] :
( v4_membered(X0)
| v1_xcmplx_0(sK237(X0))
| ~ v2_membered(X0) ),
inference(superposition,[status(thm)],[c_161346,c_1550]) ).
tcf(c_177543,plain,
! [X0: $i] :
( v1_membered(X0)
| v1_xcmplx_0(sK251(X0))
| ~ v2_membered(X0) ),
inference(superposition,[status(thm)],[c_161348,c_1550]) ).
tcf(c_177544,plain,
! [X0: $i] :
( v1_realset1(X0)
| v1_xcmplx_0(sK315(X0))
| ~ v2_membered(X0) ),
inference(superposition,[status(thm)],[c_161349,c_1550]) ).
tcf(c_177545,plain,
! [X0: $i] :
( v1_realset1(X0)
| v1_xcmplx_0(sK316(X0))
| ~ v2_membered(X0) ),
inference(superposition,[status(thm)],[c_161350,c_1550]) ).
tcf(c_177546,plain,
! [X0: $i,X1: $i] :
( v1_xcmplx_0(X0)
| ~ v2_membered(k2_tarski(X0,X1)) ),
inference(superposition,[status(thm)],[c_161351,c_1550]) ).
tcf(c_177547,plain,
! [X0: $i,X1: $i] :
( v1_xcmplx_0(X1)
| ~ v2_membered(k2_tarski(X0,X1)) ),
inference(superposition,[status(thm)],[c_161352,c_1550]) ).
tcf(c_177548,plain,
! [X0: $i] :
( v1_xcmplx_0(X0)
| ~ v2_membered(k1_numbers)
| ~ v1_xreal_0(X0) ),
inference(superposition,[status(thm)],[c_161354,c_1550]) ).
tcf(c_177549,plain,
! [X0: $i] :
( v1_xcmplx_0(k1_card_1(X0))
| ~ v2_membered(k1_card_1(k1_zfmisc_1(X0))) ),
inference(superposition,[status(thm)],[c_161355,c_1550]) ).
tcf(c_177550,plain,
! [X0: $i] :
( v3_ordinal1(X0)
| v1_xcmplx_0(sK552(X0))
| ~ v2_membered(X0) ),
inference(superposition,[status(thm)],[c_161356,c_1550]) ).
tcf(c_177551,plain,
! [X0: $i] :
( v4_finsub_1(X0)
| v1_xcmplx_0(sK558(X0))
| ~ v2_membered(X0) ),
inference(superposition,[status(thm)],[c_161357,c_1550]) ).
tcf(c_177552,plain,
! [X0: $i] :
( v4_finsub_1(X0)
| v1_xcmplx_0(sK559(X0))
| ~ v2_membered(X0) ),
inference(superposition,[status(thm)],[c_161358,c_1550]) ).
tcf(c_177554,plain,
! [X0: $i] :
( v1_xcmplx_0(sK223(X0))
| v5_membered(k3_tarski(X0))
| ~ v2_membered(X0) ),
inference(superposition,[status(thm)],[c_161605,c_1550]) ).
tcf(c_177555,plain,
! [X0: $i] :
( v1_xcmplx_0(sK231(X0))
| v4_membered(k3_tarski(X0))
| ~ v2_membered(X0) ),
inference(superposition,[status(thm)],[c_162257,c_1550]) ).
tcf(c_177556,plain,
! [X0: $i] :
( v1_xcmplx_0(sK238(X0))
| v3_membered(k3_tarski(X0))
| ~ v2_membered(X0) ),
inference(superposition,[status(thm)],[c_162595,c_1550]) ).
tcf(c_177557,plain,
( v1_xcmplx_0(u1_struct_0(sK39))
| ~ v2_membered(k1_zfmisc_1(u1_struct_0(sK39))) ),
inference(superposition,[status(thm)],[c_173838,c_1550]) ).
tcf(c_177558,plain,
( v1_xcmplx_0(sK92(k1_zfmisc_1(u1_struct_0(sK39))))
| ~ v2_membered(k1_zfmisc_1(u1_struct_0(sK39))) ),
inference(superposition,[status(thm)],[c_174646,c_1550]) ).
tcf(c_177725,plain,
! [X0: $i,X1: $i] :
( v1_xreal_0(X1)
| ~ v2_membered(X0)
| ~ v1_xboole_0(X1)
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_589,c_1551]) ).
tcf(c_177726,plain,
! [X0: $i] :
( v1_xreal_0(sK52(X0))
| ~ v2_membered(X0) ),
inference(superposition,[status(thm)],[c_161,c_1551]) ).
tcf(c_177727,plain,
! [X0: $i] :
( v1_xreal_0(k1_pre_topc(X0))
| ~ l1_struct_0(X0)
| ~ v2_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_323,c_1551]) ).
tcf(c_177728,plain,
! [X0: $i] :
( v1_xreal_0(k2_pre_topc(X0))
| ~ l1_struct_0(X0)
| ~ v2_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_341,c_1551]) ).
tcf(c_177732,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| v1_xreal_0(sK87(X0))
| ~ v2_membered(k1_zfmisc_1(X0)) ),
inference(superposition,[status(thm)],[c_593,c_1551]) ).
tcf(c_177734,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| v1_xreal_0(sK255(X0))
| ~ v2_membered(k5_finsub_1(X0)) ),
inference(superposition,[status(thm)],[c_1633,c_1551]) ).
tcf(c_177735,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| v1_xreal_0(sK256(X0))
| ~ v2_membered(k5_finsub_1(X0)) ),
inference(superposition,[status(thm)],[c_1637,c_1551]) ).
tcf(c_177736,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| v1_xreal_0(sK258(X0))
| ~ v2_membered(k5_finsub_1(X0)) ),
inference(superposition,[status(thm)],[c_1642,c_1551]) ).
tcf(c_177737,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| v1_xreal_0(sK264(X0))
| ~ v2_membered(k1_zfmisc_1(X0)) ),
inference(superposition,[status(thm)],[c_1687,c_1551]) ).
tcf(c_177738,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| v1_xreal_0(sK265(X0))
| ~ v2_membered(k1_zfmisc_1(X0)) ),
inference(superposition,[status(thm)],[c_1695,c_1551]) ).
tcf(c_177739,plain,
! [X0: $i] :
( v1_xreal_0(k2_finseq_1(X0))
| ~ v4_ordinal2(X0)
| ~ v2_membered(k1_zfmisc_1(k5_numbers)) ),
inference(superposition,[status(thm)],[c_2552,c_1551]) ).
tcf(c_177741,plain,
! [X0: $i] :
( v4_finsub_1(X0)
| v1_xreal_0(sK407(X0))
| ~ v2_membered(X0) ),
inference(superposition,[status(thm)],[c_170030,c_1551]) ).
tcf(c_177742,plain,
! [X0: $i] :
( v4_finsub_1(X0)
| v1_xreal_0(sK406(X0))
| ~ v2_membered(X0) ),
inference(superposition,[status(thm)],[c_170056,c_1551]) ).
tcf(c_177743,plain,
! [X0: $i] :
( v4_finsub_1(X0)
| v1_xreal_0(sK409(X0))
| ~ v2_membered(X0) ),
inference(superposition,[status(thm)],[c_170082,c_1551]) ).
tcf(c_177744,plain,
! [X0: $i] :
( v4_finsub_1(X0)
| v1_xreal_0(sK408(X0))
| ~ v2_membered(X0) ),
inference(superposition,[status(thm)],[c_170173,c_1551]) ).
tcf(c_177745,plain,
! [X0: $i] :
( v4_finsub_1(X0)
| v1_xreal_0(sK411(X0))
| ~ v2_membered(X0) ),
inference(superposition,[status(thm)],[c_170199,c_1551]) ).
tcf(c_177746,plain,
! [X0: $i] :
( v4_finsub_1(X0)
| v1_xreal_0(sK410(X0))
| ~ v2_membered(X0) ),
inference(superposition,[status(thm)],[c_170225,c_1551]) ).
tcf(c_177895,plain,
! [X0: $i,X1: $i] :
( v1_membered(X0)
| ~ v1_membered(X1)
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_167498,c_1573]) ).
tcf(c_177896,plain,
! [X0: $i,X1: $i] :
( v1_membered(X0)
| ~ v1_membered(k3_tarski(k2_tarski(X0,X1))) ),
inference(superposition,[status(thm)],[c_497,c_1573]) ).
tcf(c_177897,plain,
! [X0: $i,X1: $i] :
( v1_membered(k1_zfmisc_1(X0))
| ~ v1_membered(k1_zfmisc_1(X1))
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_559,c_1573]) ).
tcf(c_177900,plain,
! [X0: $i] :
( v1_membered(X0)
| ~ v1_membered(k5_numbers)
| ~ v5_membered(X0) ),
inference(superposition,[status(thm)],[c_1340,c_1573]) ).
tcf(c_177901,plain,
! [X0: $i] :
( v1_membered(X0)
| ~ v1_membered(k4_numbers)
| ~ v4_membered(X0) ),
inference(superposition,[status(thm)],[c_1432,c_1573]) ).
tcf(c_177902,plain,
! [X0: $i] :
( v1_membered(X0)
| ~ v1_membered(k3_numbers)
| ~ v3_membered(X0) ),
inference(superposition,[status(thm)],[c_1485,c_1573]) ).
tcf(c_177903,plain,
! [X0: $i] :
( v1_membered(X0)
| ~ v1_membered(k1_numbers)
| ~ v2_membered(X0) ),
inference(superposition,[status(thm)],[c_1532,c_1573]) ).
tcf(c_177904,plain,
! [X0: $i] :
( v1_membered(k5_finsub_1(X0))
| ~ v1_membered(k1_zfmisc_1(X0)) ),
inference(superposition,[status(thm)],[c_1653,c_1573]) ).
tcf(c_177906,plain,
! [X0: $i,X1: $i] :
( v1_membered(k7_relat_1(X0,X1))
| ~ v1_membered(X0)
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_2067,c_1573]) ).
tcf(c_177907,plain,
! [X0: $i] :
( v1_membered(k6_partfun1(X0))
| ~ v1_membered(k2_zfmisc_1(X0,X0)) ),
inference(superposition,[status(thm)],[c_2163,c_1573]) ).
tcf(c_177910,plain,
! [X0: $i] :
( v1_membered(k1_relat_1(X0))
| ~ v1_relat_1(X0)
| ~ v1_membered(k3_relat_1(X0)) ),
inference(superposition,[status(thm)],[c_2309,c_1573]) ).
tcf(c_177911,plain,
! [X0: $i] :
( v1_membered(k2_relat_1(X0))
| ~ v1_relat_1(X0)
| ~ v1_membered(k3_relat_1(X0)) ),
inference(superposition,[status(thm)],[c_2310,c_1573]) ).
tcf(c_177912,plain,
! [X0: $i,X1: $i] :
( v1_membered(X0)
| ~ v1_membered(k3_tarski(X1))
| ~ r2_hidden(X0,X1) ),
inference(superposition,[status(thm)],[c_2513,c_1573]) ).
tcf(c_177913,plain,
! [X0: $i] :
( v1_membered(X0)
| ~ v1_membered(k1_zfmisc_1(k3_tarski(X0))) ),
inference(superposition,[status(thm)],[c_2506,c_1573]) ).
tcf(c_177915,plain,
! [X0: $i] :
( v1_membered(k1_setfam_1(X0))
| ~ v1_membered(k3_tarski(X0)) ),
inference(superposition,[status(thm)],[c_2542,c_1573]) ).
tcf(c_177917,plain,
! [X0: $i,X1: $i] :
( v1_membered(k4_xboole_0(X0,X1))
| ~ v1_membered(k5_xboole_0(X0,X1)) ),
inference(superposition,[status(thm)],[c_2608,c_1573]) ).
tcf(c_177925,plain,
! [X0: $i,X1: $i] :
( v1_membered(k8_relat_1(X1,X0))
| ~ v1_membered(X0)
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_3314,c_1573]) ).
tcf(c_177926,plain,
! [X0: $i] :
( v1_membered(X0)
| r2_hidden(sK550(X0),X0)
| ~ v1_membered(sK551(X0)) ),
inference(superposition,[status(thm)],[c_3506,c_1573]) ).
tcf(c_177927,plain,
! [X0: $i] :
( v1_membered(X0)
| ~ v3_ordinal1(sK550(X0))
| ~ v1_membered(sK551(X0)) ),
inference(superposition,[status(thm)],[c_3504,c_1573]) ).
tcf(c_177931,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| v1_membered(sK87(X0))
| ~ v1_membered(X0) ),
inference(superposition,[status(thm)],[c_167342,c_1573]) ).
tcf(c_177932,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| v1_membered(sK264(X0))
| ~ v1_membered(X0) ),
inference(superposition,[status(thm)],[c_167344,c_1573]) ).
tcf(c_177933,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| v1_membered(sK265(X0))
| ~ v1_membered(X0) ),
inference(superposition,[status(thm)],[c_167345,c_1573]) ).
tcf(c_177934,plain,
! [X0: $i,X1: $i] :
( v1_membered(k2_tarski(X0,X0))
| ~ v1_membered(k2_tarski(X0,X1)) ),
inference(superposition,[status(thm)],[c_47411,c_1573]) ).
tcf(c_177935,plain,
! [X0: $i,X1: $i] :
( v1_membered(k2_tarski(X1,X1))
| ~ v1_membered(k2_tarski(X0,X1)) ),
inference(superposition,[status(thm)],[c_47412,c_1573]) ).
tcf(c_177936,plain,
! [X0: $i] :
( v1_membered(k2_tarski(X0,X0))
| ~ v1_membered(k1_zfmisc_1(X0)) ),
inference(superposition,[status(thm)],[c_47413,c_1573]) ).
tcf(c_177938,plain,
! [X0: $i] :
( v1_membered(k2_tarski(X0,np__0))
| ~ v1_membered(k1_zfmisc_1(X0)) ),
inference(superposition,[status(thm)],[c_159660,c_1573]) ).
tcf(c_177939,plain,
! [X0: $i] :
( v1_membered(k1_setfam_1(k1_zfmisc_1(X0)))
| ~ v1_membered(X0) ),
inference(superposition,[status(thm)],[c_160376,c_1573]) ).
tcf(c_177941,plain,
! [X0: $i,X1: $i] :
( v1_membered(X1)
| ~ v1_membered(k3_tarski(k2_tarski(X0,X1))) ),
inference(superposition,[status(thm)],[c_162055,c_1573]) ).
tcf(c_177942,plain,
! [X0: $i] :
( v1_membered(k2_tarski(np__0,X0))
| ~ v1_membered(k1_zfmisc_1(X0)) ),
inference(superposition,[status(thm)],[c_162071,c_1573]) ).
tcf(c_177946,plain,
! [X0: $i] :
( v1_membered(sK52(k1_zfmisc_1(X0)))
| ~ v1_membered(X0) ),
inference(superposition,[status(thm)],[c_167340,c_1573]) ).
tcf(c_177947,plain,
! [X0: $i] :
( v1_membered(X0)
| ~ v1_membered(k3_relat_1(k6_partfun1(X0))) ),
inference(superposition,[status(thm)],[c_169238,c_1573]) ).
tcf(c_177948,plain,
( v1_membered(sK92(k1_zfmisc_1(u1_struct_0(sK39))))
| ~ v1_membered(u1_struct_0(sK39)) ),
inference(superposition,[status(thm)],[c_174648,c_1573]) ).
tcf(c_178070,plain,
v8_relat_2(sK197(np__0,np__0)),
inference(superposition,[status(thm)],[c_2188,c_174963]) ).
tcf(c_178071,plain,
! [X0: $i,X1: $i] : v8_relat_2(sK197(k1_setfam_1(k2_tarski(X0,X1)),k5_relat_1(k6_partfun1(X0),k6_partfun1(X1)))),
inference(superposition,[status(thm)],[c_49266,c_174963]) ).
tcf(c_178121,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X2 )
| ( X0 = X1 )
| ( k5_xboole_0(k4_xboole_0(k2_tarski(X0,X1),k2_tarski(X1,X1)),k2_tarski(X2,X2)) = k2_tarski(X0,X2) ) ),
inference(superposition,[status(thm)],[c_54771,c_54811]) ).
tcf(c_178122,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X2 )
| ( X0 = np__0 )
| ( k5_xboole_0(k2_relat_1(sK46(X0,X1)),k2_tarski(X2,X2)) = k2_tarski(X1,X2) ) ),
inference(superposition,[status(thm)],[c_51182,c_54811]) ).
tcf(c_178123,plain,
! [X0: $i] :
( ( X0 = np__0 )
| ( k5_xboole_0(k1_zfmisc_1(np__0),k2_tarski(X0,X0)) = k2_tarski(np__0,X0) ) ),
inference(superposition,[status(thm)],[c_47417,c_54811]) ).
tcf(c_178124,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X2 )
| ( X0 = X1 )
| ( k5_xboole_0(k2_tarski(X0,X0),k4_xboole_0(k2_tarski(X1,X2),k2_tarski(X2,X2))) = k2_tarski(X0,X1) ) ),
inference(superposition,[status(thm)],[c_54771,c_54811]) ).
tcf(c_178125,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = np__0 )
| ( X0 = X2 )
| ( k5_xboole_0(k2_tarski(X0,X0),k2_relat_1(sK46(X1,X2))) = k2_tarski(X0,X2) ) ),
inference(superposition,[status(thm)],[c_51182,c_54811]) ).
tcf(c_178126,plain,
! [X0: $i] :
( ( X0 = np__0 )
| ( k5_xboole_0(k2_tarski(X0,X0),k1_zfmisc_1(np__0)) = k2_tarski(X0,np__0) ) ),
inference(superposition,[status(thm)],[c_47417,c_54811]) ).
tcf(c_178127,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( k3_tarski(k2_tarski(k2_tarski(X0,X1),k1_setfam_1(k2_tarski(k2_tarski(X1,X1),k2_tarski(X0,X0))))) = k3_tarski(k2_tarski(k2_tarski(X0,X0),k2_tarski(X1,X1))) ) ),
inference(superposition,[status(thm)],[c_54811,c_51640]) ).
tcf(c_178128,plain,
! [X0: $i,X1: $i] :
( r1_xboole_0(k1_setfam_1(k2_tarski(k2_tarski(X0,X0),k2_tarski(X1,X1))),k2_tarski(X0,X1))
| ( X0 = X1 ) ),
inference(superposition,[status(thm)],[c_54811,c_47705]) ).
tcf(c_178129,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k4_xboole_0(k2_tarski(X0,X0),k2_tarski(X1,X1)),k2_tarski(X0,X1))
| ( X0 = X1 ) ),
inference(superposition,[status(thm)],[c_54811,c_2608]) ).
tcf(c_178131,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X1 )
| ( k5_xboole_0(k2_tarski(X0,X0),k5_xboole_0(k2_tarski(X1,X1),X2)) = k5_xboole_0(k2_tarski(X0,X1),X2) ) ),
inference(superposition,[status(thm)],[c_54811,c_2613]) ).
tcf(c_178133,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( k5_xboole_0(k2_tarski(X0,X0),k2_tarski(X1,X1)) = k2_tarski(X1,X0) ) ),
inference(superposition,[status(thm)],[c_54811,c_2615]) ).
tcf(c_178136,plain,
! [X0: $i] :
( ( X0 = np__0 )
| ( k5_xboole_0(k1_zfmisc_1(np__0),k2_tarski(X0,X0)) = k2_tarski(X0,np__0) ) ),
inference(theory_normalisation,[status(thm)],[c_178126,c_2613,c_2615]) ).
tcf(c_178173,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| v1_xreal_0(sK250(X0))
| ~ v2_membered(X0)
| ~ v1_membered(X0) ),
inference(superposition,[status(thm)],[c_1575,c_1535]) ).
tcf(c_178174,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| v1_int_1(sK250(X0))
| ~ v4_membered(X0)
| ~ v1_membered(X0) ),
inference(superposition,[status(thm)],[c_1575,c_1435]) ).
tcf(c_178175,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| v4_ordinal2(sK250(X0))
| ~ v5_membered(X0)
| ~ v1_membered(X0) ),
inference(superposition,[status(thm)],[c_1575,c_1343]) ).
tcf(c_178176,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| ~ v1_membered(X0)
| ~ r2_hidden(X0,sK250(X0)) ),
inference(superposition,[status(thm)],[c_1575,c_631]) ).
tcf(c_178177,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| r2_hidden(sK92(X0),X0)
| ~ v1_membered(X0) ),
inference(superposition,[status(thm)],[c_1575,c_627]) ).
tcf(c_178178,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| m1_subset_1(sK250(X0),X0)
| ~ v1_membered(X0) ),
inference(superposition,[status(thm)],[c_1575,c_626]) ).
tcf(c_178180,plain,
! [X0: $i] :
( v1_xboole_0(k1_zfmisc_1(X0))
| r1_tarski(sK250(k1_zfmisc_1(X0)),X0)
| ~ v1_membered(k1_zfmisc_1(X0)) ),
inference(superposition,[status(thm)],[c_1575,c_563]) ).
tcf(c_178182,plain,
( v1_xboole_0(k4_numbers)
| v1_int_1(sK250(k4_numbers))
| ~ v1_membered(k4_numbers) ),
inference(superposition,[status(thm)],[c_1575,c_2722]) ).
tcf(c_178183,plain,
( v1_xboole_0(k1_numbers)
| v1_xreal_0(sK250(k1_numbers))
| ~ v1_membered(k1_numbers) ),
inference(superposition,[status(thm)],[c_1575,c_2743]) ).
tcf(c_178184,plain,
! [X0: $i] :
( v1_xboole_0(k5_finsub_1(X0))
| r1_tarski(sK250(k5_finsub_1(X0)),X0)
| ~ v1_membered(k5_finsub_1(X0)) ),
inference(superposition,[status(thm)],[c_1575,c_14776]) ).
tcf(c_178185,plain,
! [X0: $i] :
( v1_xboole_0(k5_finsub_1(X0))
| v1_finset_1(sK250(k5_finsub_1(X0)))
| ~ v1_membered(k5_finsub_1(X0)) ),
inference(superposition,[status(thm)],[c_1575,c_14774]) ).
tcf(c_178186,plain,
v1_xreal_0(sK250(k1_numbers)),
inference(forward_subsumption_resolution,[status(thm)],[c_178183,c_2745,c_1553]) ).
tcf(c_178187,plain,
v1_int_1(sK250(k4_numbers)),
inference(forward_subsumption_resolution,[status(thm)],[c_178182,c_2733,c_1473]) ).
tcf(c_178215,plain,
! [X0: $i] :
( r1_tarski(sK250(k1_zfmisc_1(X0)),X0)
| ~ v1_membered(k1_zfmisc_1(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_178180,c_595]) ).
tcf(c_178243,plain,
! [X0: $i,X1: $i] :
( v1_xcmplx_0(X0)
| ~ v1_membered(k1_zfmisc_1(X1))
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_562,c_1578]) ).
tcf(c_178244,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,X1)
| v1_xcmplx_0(sK82(X0,X1))
| ~ v1_membered(X0) ),
inference(superposition,[status(thm)],[c_572,c_1578]) ).
tcf(c_178245,plain,
! [X0: $i] :
( v1_xcmplx_0(sK114(X0))
| ( X0 = np__0 )
| ~ v1_membered(X0) ),
inference(superposition,[status(thm)],[c_697,c_1578]) ).
tcf(c_178246,plain,
! [X0: $i] :
( v1_xcmplx_0(sK127(X0))
| ( X0 = np__0 )
| ~ v1_membered(X0) ),
inference(superposition,[status(thm)],[c_758,c_1578]) ).
tcf(c_178247,plain,
! [X0: $i] :
( sP9(X0)
| v1_funct_1(X0)
| v1_xcmplx_0(sK133(X0))
| ~ v1_membered(X0) ),
inference(superposition,[status(thm)],[c_769,c_1578]) ).
tcf(c_178248,plain,
! [X0: $i] :
( sP9(X0)
| v1_relat_1(X0)
| v1_xcmplx_0(sK133(X0))
| ~ v1_membered(X0) ),
inference(superposition,[status(thm)],[c_767,c_1578]) ).
tcf(c_178249,plain,
! [X0: $i] :
( v1_relat_1(X0)
| v1_xcmplx_0(sK146(X0))
| ~ v1_membered(X0) ),
inference(superposition,[status(thm)],[c_787,c_1578]) ).
tcf(c_178250,plain,
! [X0: $i] :
( v1_xcmplx_0(sK223(X0))
| v5_membered(k3_tarski(X0))
| ~ v1_membered(X0) ),
inference(superposition,[status(thm)],[c_1321,c_1578]) ).
tcf(c_178251,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| v1_xcmplx_0(sK228(X0))
| ~ v5_membered(X0)
| ~ v1_membered(X0) ),
inference(superposition,[status(thm)],[c_1339,c_1578]) ).
tcf(c_178252,plain,
! [X0: $i] :
( v5_membered(X0)
| v1_xcmplx_0(sK229(X0))
| ~ v1_membered(X0) ),
inference(superposition,[status(thm)],[c_1342,c_1578]) ).
tcf(c_178253,plain,
! [X0: $i] :
( v1_xcmplx_0(sK231(X0))
| v4_membered(k3_tarski(X0))
| ~ v1_membered(X0) ),
inference(superposition,[status(thm)],[c_1413,c_1578]) ).
tcf(c_178255,plain,
! [X0: $i] :
( v4_membered(X0)
| v1_xcmplx_0(sK237(X0))
| ~ v1_membered(X0) ),
inference(superposition,[status(thm)],[c_1434,c_1578]) ).
tcf(c_178256,plain,
! [X0: $i] :
( v1_xcmplx_0(sK238(X0))
| v3_membered(k3_tarski(X0))
| ~ v1_membered(X0) ),
inference(superposition,[status(thm)],[c_1483,c_1578]) ).
tcf(c_178257,plain,
! [X0: $i] :
( v1_xcmplx_0(sK239(X0))
| v2_membered(k3_tarski(X0))
| ~ v1_membered(X0) ),
inference(superposition,[status(thm)],[c_1513,c_1578]) ).
tcf(c_178259,plain,
! [X0: $i] :
( v2_membered(X0)
| v1_xcmplx_0(sK245(X0))
| ~ v1_membered(X0) ),
inference(superposition,[status(thm)],[c_1534,c_1578]) ).
tcf(c_178260,plain,
! [X0: $i] :
( v1_xcmplx_0(sK246(X0))
| v1_membered(k3_tarski(X0))
| ~ v1_membered(X0) ),
inference(superposition,[status(thm)],[c_1559,c_1578]) ).
tcf(c_178263,plain,
! [X0: $i] :
( v1_realset1(X0)
| v1_xcmplx_0(sK315(X0))
| ~ v1_membered(X0) ),
inference(superposition,[status(thm)],[c_1986,c_1578]) ).
tcf(c_178264,plain,
! [X0: $i] :
( v1_realset1(X0)
| v1_xcmplx_0(sK316(X0))
| ~ v1_membered(X0) ),
inference(superposition,[status(thm)],[c_1987,c_1578]) ).
tcf(c_178265,plain,
! [X0: $i] :
( v1_xcmplx_0(sK381(X0))
| ( X0 = np__0 )
| ~ v1_membered(X0) ),
inference(superposition,[status(thm)],[c_2399,c_1578]) ).
tcf(c_178266,plain,
! [X0: $i] :
( v1_xcmplx_0(sK382(X0))
| ( X0 = np__0 )
| ~ v1_membered(X0) ),
inference(superposition,[status(thm)],[c_2401,c_1578]) ).
tcf(c_178267,plain,
! [X0: $i] :
( v1_xcmplx_0(sK383(X0))
| ( X0 = np__0 )
| ~ v1_membered(X0) ),
inference(superposition,[status(thm)],[c_2403,c_1578]) ).
tcf(c_178268,plain,
! [X0: $i] :
( v1_xcmplx_0(sK384(X0))
| ( X0 = np__0 )
| ~ v1_membered(X0) ),
inference(superposition,[status(thm)],[c_2405,c_1578]) ).
tcf(c_178269,plain,
! [X0: $i] :
( v1_xcmplx_0(sK385(X0))
| ( X0 = np__0 )
| ~ v1_membered(X0) ),
inference(superposition,[status(thm)],[c_2407,c_1578]) ).
tcf(c_178270,plain,
! [X0: $i] :
( v1_xcmplx_0(sK386(X0))
| ( X0 = np__0 )
| ~ v1_membered(X0) ),
inference(superposition,[status(thm)],[c_2409,c_1578]) ).
tcf(c_178271,plain,
! [X0: $i,X1: $i] :
( r1_xboole_0(X0,X1)
| v1_xcmplx_0(sK392(X0,X1))
| ~ v1_membered(X0) ),
inference(superposition,[status(thm)],[c_2475,c_1578]) ).
tcf(c_178272,plain,
! [X0: $i,X1: $i] :
( r1_xboole_0(X1,X0)
| v1_xcmplx_0(sK392(X1,X0))
| ~ v1_membered(X0) ),
inference(superposition,[status(thm)],[c_2476,c_1578]) ).
tcf(c_178273,plain,
! [X0: $i] :
( v3_ordinal1(k3_tarski(X0))
| v1_xcmplx_0(sK395(X0))
| ~ v1_membered(X0) ),
inference(superposition,[status(thm)],[c_2503,c_1578]) ).
tcf(c_178274,plain,
! [X0: $i] :
( v3_ordinal1(k1_setfam_1(X0))
| v1_xcmplx_0(sK400(X0))
| ~ v1_membered(X0) ),
inference(superposition,[status(thm)],[c_2531,c_1578]) ).
tcf(c_178276,plain,
! [X0: $i,X1: $i] :
( v1_xcmplx_0(X0)
| ~ v1_membered(k2_tarski(X0,X1)) ),
inference(superposition,[status(thm)],[c_2711,c_1578]) ).
tcf(c_178277,plain,
! [X0: $i,X1: $i] :
( v1_xcmplx_0(X1)
| ~ v1_membered(k2_tarski(X0,X1)) ),
inference(superposition,[status(thm)],[c_2712,c_1578]) ).
tcf(c_178278,plain,
! [X0: $i] :
( v1_xcmplx_0(X0)
| ~ v1_membered(k4_numbers)
| ~ v1_int_1(X0) ),
inference(superposition,[status(thm)],[c_2723,c_1578]) ).
tcf(c_178279,plain,
! [X0: $i] :
( v1_xcmplx_0(X0)
| ~ v1_membered(k1_numbers)
| ~ v1_xreal_0(X0) ),
inference(superposition,[status(thm)],[c_2744,c_1578]) ).
tcf(c_178280,plain,
! [X0: $i] :
( v1_xcmplx_0(k1_card_1(X0))
| ~ v1_membered(k1_card_1(k1_zfmisc_1(X0))) ),
inference(superposition,[status(thm)],[c_2813,c_1578]) ).
tcf(c_178281,plain,
! [X0: $i] :
( v3_ordinal1(sK549(X0))
| v1_xcmplx_0(sK549(X0))
| ~ v1_membered(X0) ),
inference(superposition,[status(thm)],[c_3503,c_1578]) ).
tcf(c_178282,plain,
! [X0: $i] :
( v3_ordinal1(sK551(X0))
| v1_xcmplx_0(sK550(X0))
| ~ v1_membered(X0) ),
inference(superposition,[status(thm)],[c_3507,c_1578]) ).
tcf(c_178283,plain,
! [X0: $i] :
( v3_ordinal1(X0)
| v1_xcmplx_0(sK552(X0))
| ~ v1_membered(X0) ),
inference(superposition,[status(thm)],[c_3509,c_1578]) ).
tcf(c_178284,plain,
! [X0: $i] :
( v4_finsub_1(X0)
| v1_xcmplx_0(sK558(X0))
| ~ v1_membered(X0) ),
inference(superposition,[status(thm)],[c_3603,c_1578]) ).
tcf(c_178285,plain,
! [X0: $i] :
( v4_finsub_1(X0)
| v1_xcmplx_0(sK559(X0))
| ~ v1_membered(X0) ),
inference(superposition,[status(thm)],[c_3604,c_1578]) ).
tcf(c_178286,plain,
! [X0: $i,X1: $i] :
( v1_xcmplx_0(X1)
| ~ v1_membered(k3_tarski(k2_tarski(X0,k2_tarski(X1,X1)))) ),
inference(superposition,[status(thm)],[c_47393,c_1578]) ).
tcf(c_178291,plain,
! [X0: $i] :
( v4_finsub_1(X0)
| v1_xcmplx_0(sK92(X0))
| ~ v1_membered(X0) ),
inference(superposition,[status(thm)],[c_167549,c_1578]) ).
tcf(c_178292,plain,
! [X0: $i] :
( v3_ordinal1(X0)
| v1_xcmplx_0(sK92(X0))
| ~ v1_membered(X0) ),
inference(superposition,[status(thm)],[c_167548,c_1578]) ).
tcf(c_178293,plain,
! [X0: $i] :
( v1_realset1(X0)
| v1_xcmplx_0(sK92(X0))
| ~ v1_membered(X0) ),
inference(superposition,[status(thm)],[c_167537,c_1578]) ).
tcf(c_178295,plain,
! [X0: $i] :
( v2_membered(X0)
| v1_xcmplx_0(sK92(X0))
| ~ v1_membered(X0) ),
inference(superposition,[status(thm)],[c_167534,c_1578]) ).
tcf(c_178296,plain,
! [X0: $i] :
( v4_membered(X0)
| v1_xcmplx_0(sK92(X0))
| ~ v1_membered(X0) ),
inference(superposition,[status(thm)],[c_167531,c_1578]) ).
tcf(c_178297,plain,
! [X0: $i] :
( v5_membered(X0)
| v1_xcmplx_0(sK92(X0))
| ~ v1_membered(X0) ),
inference(superposition,[status(thm)],[c_167529,c_1578]) ).
tcf(c_178298,plain,
! [X0: $i] :
( v1_relat_1(X0)
| v1_xcmplx_0(sK92(X0))
| ~ v1_membered(X0) ),
inference(superposition,[status(thm)],[c_167527,c_1578]) ).
tcf(c_178301,plain,
( v1_xcmplx_0(k5_numbers)
| ~ v1_membered(k1_zfmisc_1(k1_numbers)) ),
inference(superposition,[status(thm)],[c_174277,c_1578]) ).
tcf(c_178303,plain,
( v1_xcmplx_0(u1_struct_0(sK39))
| ~ v1_membered(k1_zfmisc_1(u1_struct_0(sK39))) ),
inference(superposition,[status(thm)],[c_174327,c_1578]) ).
tcf(c_178304,plain,
( v1_xcmplx_0(sK92(k1_zfmisc_1(u1_struct_0(sK39))))
| ~ v1_membered(k1_zfmisc_1(u1_struct_0(sK39))) ),
inference(superposition,[status(thm)],[c_174640,c_1578]) ).
tcf(c_178502,plain,
! [X0: $i,X1: $i] :
( v1_xcmplx_0(X1)
| ~ v1_membered(X0)
| ~ v1_xboole_0(X1)
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_589,c_1586]) ).
tcf(c_178503,plain,
! [X0: $i] :
( v1_xcmplx_0(sK52(X0))
| ~ v1_membered(X0) ),
inference(superposition,[status(thm)],[c_161,c_1586]) ).
tcf(c_178504,plain,
! [X0: $i] :
( v1_xcmplx_0(k1_pre_topc(X0))
| ~ l1_struct_0(X0)
| ~ v1_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_323,c_1586]) ).
tcf(c_178505,plain,
! [X0: $i] :
( v1_xcmplx_0(k2_pre_topc(X0))
| ~ l1_struct_0(X0)
| ~ v1_membered(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_341,c_1586]) ).
tcf(c_178509,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| v1_xcmplx_0(sK87(X0))
| ~ v1_membered(k1_zfmisc_1(X0)) ),
inference(superposition,[status(thm)],[c_593,c_1586]) ).
tcf(c_178511,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| v1_xcmplx_0(sK255(X0))
| ~ v1_membered(k5_finsub_1(X0)) ),
inference(superposition,[status(thm)],[c_1633,c_1586]) ).
tcf(c_178512,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| v1_xcmplx_0(sK256(X0))
| ~ v1_membered(k5_finsub_1(X0)) ),
inference(superposition,[status(thm)],[c_1637,c_1586]) ).
tcf(c_178513,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| v1_xcmplx_0(sK258(X0))
| ~ v1_membered(k5_finsub_1(X0)) ),
inference(superposition,[status(thm)],[c_1642,c_1586]) ).
tcf(c_178514,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| v1_xcmplx_0(sK264(X0))
| ~ v1_membered(k1_zfmisc_1(X0)) ),
inference(superposition,[status(thm)],[c_1687,c_1586]) ).
tcf(c_178515,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| v1_xcmplx_0(sK265(X0))
| ~ v1_membered(k1_zfmisc_1(X0)) ),
inference(superposition,[status(thm)],[c_1695,c_1586]) ).
tcf(c_178516,plain,
! [X0: $i] :
( v1_xcmplx_0(k2_finseq_1(X0))
| ~ v4_ordinal2(X0)
| ~ v1_membered(k1_zfmisc_1(k5_numbers)) ),
inference(superposition,[status(thm)],[c_2552,c_1586]) ).
tcf(c_178518,plain,
! [X0: $i] :
( v4_finsub_1(X0)
| v1_xcmplx_0(sK407(X0))
| ~ v1_membered(X0) ),
inference(superposition,[status(thm)],[c_170030,c_1586]) ).
tcf(c_178519,plain,
! [X0: $i] :
( v4_finsub_1(X0)
| v1_xcmplx_0(sK406(X0))
| ~ v1_membered(X0) ),
inference(superposition,[status(thm)],[c_170056,c_1586]) ).
tcf(c_178520,plain,
! [X0: $i] :
( v4_finsub_1(X0)
| v1_xcmplx_0(sK409(X0))
| ~ v1_membered(X0) ),
inference(superposition,[status(thm)],[c_170082,c_1586]) ).
tcf(c_178521,plain,
! [X0: $i] :
( v4_finsub_1(X0)
| v1_xcmplx_0(sK408(X0))
| ~ v1_membered(X0) ),
inference(superposition,[status(thm)],[c_170173,c_1586]) ).
tcf(c_178522,plain,
! [X0: $i] :
( v4_finsub_1(X0)
| v1_xcmplx_0(sK411(X0))
| ~ v1_membered(X0) ),
inference(superposition,[status(thm)],[c_170199,c_1586]) ).
tcf(c_178523,plain,
! [X0: $i] :
( v4_finsub_1(X0)
| v1_xcmplx_0(sK410(X0))
| ~ v1_membered(X0) ),
inference(superposition,[status(thm)],[c_170225,c_1586]) ).
tcf(c_178646,plain,
! [X0: $i] :
( l1_pre_topc(sK253(X0))
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_1613,c_1614]) ).
tcf(c_178647,plain,
! [X0: $i] :
( l1_pre_topc(sK276(X0))
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_1791,c_1614]) ).
tcf(c_178652,plain,
v1_xcmplx_0(sK250(k1_numbers)),
inference(superposition,[status(thm)],[c_178186,c_2750]) ).
tcf(c_178653,plain,
v1_xreal_0(sK250(k4_numbers)),
inference(superposition,[status(thm)],[c_178187,c_2716]) ).
tcf(c_178654,plain,
v1_xcmplx_0(sK250(k4_numbers)),
inference(superposition,[status(thm)],[c_178187,c_2715]) ).
tcf(c_178694,plain,
! [X0: $i] :
( l1_struct_0(sK253(X0))
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_178646,c_152]) ).
tcf(c_178702,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| ( k1_zfmisc_1(sK255(X0)) = k5_finsub_1(sK255(X0)) ) ),
inference(superposition,[status(thm)],[c_1635,c_1652]) ).
tcf(c_178703,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| ( k1_zfmisc_1(sK258(X0)) = k5_finsub_1(sK258(X0)) ) ),
inference(superposition,[status(thm)],[c_1644,c_1652]) ).
tcf(c_178704,plain,
! [X0: $i] :
( ( k1_zfmisc_1(k1_card_1(X0)) = k5_finsub_1(k1_card_1(X0)) )
| ~ v1_finset_1(X0) ),
inference(superposition,[status(thm)],[c_1661,c_1652]) ).
tcf(c_178705,plain,
! [X0: $i] :
( ( k1_zfmisc_1(k1_relat_1(X0)) = k5_finsub_1(k1_relat_1(X0)) )
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_159956,c_1652]) ).
tcf(c_178706,plain,
! [X0: $i] :
( ( k1_zfmisc_1(k2_relat_1(X0)) = k5_finsub_1(k2_relat_1(X0)) )
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_159904,c_1652]) ).
tcf(c_178707,plain,
k1_zfmisc_1(sK261) = k5_finsub_1(sK261),
inference(superposition,[status(thm)],[c_1667,c_1652]) ).
tcf(c_178708,plain,
! [X0: $i] :
( ( k1_zfmisc_1(k1_zfmisc_1(X0)) = k5_finsub_1(k1_zfmisc_1(X0)) )
| ~ v1_finset_1(X0) ),
inference(superposition,[status(thm)],[c_1679,c_1652]) ).
tcf(c_178709,plain,
! [X0: $i,X1: $i] :
( ( k1_zfmisc_1(k4_xboole_0(X0,X1)) = k5_finsub_1(k4_xboole_0(X0,X1)) )
| ~ v1_finset_1(X0) ),
inference(superposition,[status(thm)],[c_1691,c_1652]) ).
tcf(c_178710,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| ( k1_zfmisc_1(sK264(X0)) = k5_finsub_1(sK264(X0)) ) ),
inference(superposition,[status(thm)],[c_1689,c_1652]) ).
tcf(c_178711,plain,
! [X0: $i,X1: $i] : k1_zfmisc_1(k2_tarski(X0,X1)) = k5_finsub_1(k2_tarski(X0,X1)),
inference(superposition,[status(thm)],[c_1694,c_1652]) ).
tcf(c_178712,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| ( k1_zfmisc_1(sK265(X0)) = k5_finsub_1(sK265(X0)) ) ),
inference(superposition,[status(thm)],[c_1697,c_1652]) ).
tcf(c_178713,plain,
k1_zfmisc_1(sK266) = k5_finsub_1(sK266),
inference(superposition,[status(thm)],[c_1702,c_1652]) ).
tcf(c_178714,plain,
k1_zfmisc_1(sK523) = k5_finsub_1(sK523),
inference(superposition,[status(thm)],[c_3345,c_1652]) ).
tcf(c_178715,plain,
! [X0: $i] : k1_zfmisc_1(sK524(X0)) = k5_finsub_1(sK524(X0)),
inference(superposition,[status(thm)],[c_3350,c_1652]) ).
tcf(c_178716,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : k1_zfmisc_1(k2_enumset1(X0,X1,X2,X3)) = k5_finsub_1(k2_enumset1(X0,X1,X2,X3)),
inference(superposition,[status(thm)],[c_3607,c_1652]) ).
tcf(c_178718,plain,
k1_zfmisc_1(k1_zfmisc_1(np__0)) = k5_finsub_1(k1_zfmisc_1(np__0)),
inference(superposition,[status(thm)],[c_165489,c_1652]) ).
tcf(c_178719,plain,
! [X0: $i,X1: $i] :
( ( k1_zfmisc_1(k1_setfam_1(k2_tarski(X1,X0))) = k5_finsub_1(k1_setfam_1(k2_tarski(X1,X0))) )
| ~ v1_finset_1(X0) ),
inference(superposition,[status(thm)],[c_47706,c_1652]) ).
tcf(c_178720,plain,
! [X0: $i] :
( ( k1_zfmisc_1(k1_pre_topc(X0)) = k5_finsub_1(k1_pre_topc(X0)) )
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_160931,c_1652]) ).
tcf(c_178721,plain,
! [X0: $i] :
( ( k1_zfmisc_1(k1_pre_topc(X0)) = k5_finsub_1(k1_pre_topc(X0)) )
| ~ l1_struct_0(X0) ),
inference(superposition,[status(thm)],[c_159832,c_1652]) ).
tcf(c_178722,plain,
! [X0: $i] :
( ( k1_zfmisc_1(k4_relat_1(X0)) = k5_finsub_1(k4_relat_1(X0)) )
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_160745,c_1652]) ).
tcf(c_178723,plain,
! [X0: $i] : k1_zfmisc_1(sK52(k5_finsub_1(X0))) = k5_finsub_1(sK52(k5_finsub_1(X0))),
inference(superposition,[status(thm)],[c_163691,c_1652]) ).
tcf(c_178724,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| ( k1_zfmisc_1(sK256(X0)) = k5_finsub_1(sK256(X0)) ) ),
inference(superposition,[status(thm)],[c_163693,c_1652]) ).
tcf(c_178725,plain,
k1_zfmisc_1(k1_card_1(k1_zfmisc_1(np__0))) = k5_finsub_1(k1_card_1(k1_zfmisc_1(np__0))),
inference(superposition,[status(thm)],[c_169854,c_1652]) ).
tcf(c_178726,plain,
( ( k1_zfmisc_1(k1_tops_1(sK39,np__0)) = k5_finsub_1(k1_tops_1(sK39,np__0)) )
| ~ l1_pre_topc(sK39) ),
inference(superposition,[status(thm)],[c_167013,c_1652]) ).
tcf(c_178727,plain,
! [X0: $i] :
( ( k1_zfmisc_1(sK260(X0)) = k5_finsub_1(sK260(X0)) )
| ~ v1_finset_1(X0) ),
inference(superposition,[status(thm)],[c_168444,c_1652]) ).
tcf(c_178728,plain,
! [X0: $i] : k1_zfmisc_1(k1_zfmisc_1(k2_tarski(X0,X0))) = k5_finsub_1(k1_zfmisc_1(k2_tarski(X0,X0))),
inference(superposition,[status(thm)],[c_170453,c_1652]) ).
tcf(c_178729,plain,
k1_zfmisc_1(k1_zfmisc_1(k1_zfmisc_1(np__0))) = k5_finsub_1(k1_zfmisc_1(k1_zfmisc_1(np__0))),
inference(superposition,[status(thm)],[c_170575,c_1652]) ).
tcf(c_178798,plain,
! [X0: $i] :
( r1_tarski(k1_zfmisc_1(np__0),k5_finsub_1(X0))
| ~ r1_tarski(np__0,X0) ),
inference(superposition,[status(thm)],[c_46572,c_1654]) ).
tcf(c_178799,plain,
! [X0: $i] :
( r1_tarski(k5_finsub_1(X0),k1_zfmisc_1(np__0))
| ~ r1_tarski(X0,np__0) ),
inference(superposition,[status(thm)],[c_46572,c_1654]) ).
tcf(c_178800,plain,
! [X0: $i,X1: $i] :
( v1_membered(k5_finsub_1(X0))
| ~ v1_membered(k5_finsub_1(X1))
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_1654,c_1573]) ).
tcf(c_178801,plain,
! [X0: $i,X1: $i] :
( v2_membered(k5_finsub_1(X0))
| ~ v2_membered(k5_finsub_1(X1))
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_1654,c_1527]) ).
tcf(c_178802,plain,
! [X0: $i,X1: $i] :
( v3_membered(k5_finsub_1(X0))
| ~ v3_membered(k5_finsub_1(X1))
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_1654,c_1484]) ).
tcf(c_178803,plain,
! [X0: $i,X1: $i] :
( v4_membered(k5_finsub_1(X0))
| ~ v4_membered(k5_finsub_1(X1))
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_1654,c_1427]) ).
tcf(c_178804,plain,
! [X0: $i,X1: $i] :
( v5_membered(k5_finsub_1(X0))
| ~ v5_membered(k5_finsub_1(X1))
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_1654,c_1335]) ).
tcf(c_178805,plain,
! [X0: $i,X1: $i] :
( v1_relat_1(k5_finsub_1(X0))
| ~ v1_relat_1(k5_finsub_1(X1))
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_1654,c_539]) ).
tcf(c_178806,plain,
! [X0: $i,X1: $i] :
( ~ r1_tarski(X1,X0)
| ~ r2_hidden(k5_finsub_1(X0),k5_finsub_1(X1)) ),
inference(superposition,[status(thm)],[c_1654,c_538]) ).
tcf(c_178809,plain,
! [X0: $i] : r1_tarski(k1_zfmisc_1(np__0),k5_finsub_1(X0)),
inference(forward_subsumption_resolution,[status(thm)],[c_178798,c_565]) ).
tcf(c_178850,plain,
! [X0: $i,X1: $i] :
( v1_finset_1(k2_tarski(X1,X1))
| ( X0 = np__0 )
| ~ v1_finset_1(sK46(X0,X1))
| ~ v1_relat_1(sK46(X0,X1)) ),
inference(superposition,[status(thm)],[c_51182,c_1663]) ).
tcf(c_178852,plain,
! [X0: $i] :
( v1_finset_1(X0)
| ~ v1_finset_1(k6_partfun1(X0))
| ~ v1_relat_1(k6_partfun1(X0)) ),
inference(superposition,[status(thm)],[c_2204,c_1663]) ).
tcf(c_178853,plain,
! [X0: $i] :
( ( k1_zfmisc_1(k2_relat_1(X0)) = k5_finsub_1(k2_relat_1(X0)) )
| ~ v1_finset_1(X0)
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_1663,c_1652]) ).
tcf(c_178854,plain,
! [X0: $i] :
( v1_finset_1(X0)
| ~ v1_finset_1(k6_partfun1(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_178852,c_2184]) ).
tcf(c_178867,plain,
! [X0: $i,X1: $i] :
( v1_finset_1(X0)
| ~ v1_finset_1(X1)
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_167498,c_1686]) ).
tcf(c_178868,plain,
! [X0: $i,X1: $i] :
( v1_finset_1(X0)
| ~ v1_finset_1(k3_tarski(k2_tarski(X0,X1))) ),
inference(superposition,[status(thm)],[c_497,c_1686]) ).
tcf(c_178869,plain,
! [X0: $i,X1: $i] :
( v1_finset_1(k1_zfmisc_1(X0))
| ~ v1_finset_1(k1_zfmisc_1(X1))
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_559,c_1686]) ).
tcf(c_178876,plain,
! [X0: $i] :
( v1_finset_1(k5_finsub_1(X0))
| ~ v1_finset_1(k1_zfmisc_1(X0)) ),
inference(superposition,[status(thm)],[c_1653,c_1686]) ).
tcf(c_178877,plain,
! [X0: $i,X1: $i] :
( v1_finset_1(k5_finsub_1(X0))
| ~ v1_finset_1(k5_finsub_1(X1))
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_1654,c_1686]) ).
tcf(c_178879,plain,
! [X0: $i,X1: $i] :
( v1_finset_1(k7_relat_1(X0,X1))
| ~ v1_finset_1(X0)
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_2067,c_1686]) ).
tcf(c_178880,plain,
! [X0: $i] :
( v1_finset_1(k6_partfun1(X0))
| ~ v1_finset_1(k2_zfmisc_1(X0,X0)) ),
inference(superposition,[status(thm)],[c_2163,c_1686]) ).
tcf(c_178883,plain,
! [X0: $i] :
( v1_finset_1(k1_relat_1(X0))
| ~ v1_relat_1(X0)
| ~ v1_finset_1(k3_relat_1(X0)) ),
inference(superposition,[status(thm)],[c_2309,c_1686]) ).
tcf(c_178884,plain,
! [X0: $i] :
( v1_finset_1(k2_relat_1(X0))
| ~ v1_relat_1(X0)
| ~ v1_finset_1(k3_relat_1(X0)) ),
inference(superposition,[status(thm)],[c_2310,c_1686]) ).
tcf(c_178886,plain,
! [X0: $i] :
( v1_finset_1(X0)
| ~ v1_finset_1(k1_zfmisc_1(k3_tarski(X0))) ),
inference(superposition,[status(thm)],[c_2506,c_1686]) ).
tcf(c_178887,plain,
! [X0: $i,X1: $i] :
( v1_finset_1(k1_setfam_1(X1))
| ~ v1_finset_1(X0)
| ~ r2_hidden(X0,X1) ),
inference(superposition,[status(thm)],[c_2541,c_1686]) ).
tcf(c_178888,plain,
! [X0: $i] :
( v1_finset_1(k1_setfam_1(X0))
| ~ v1_finset_1(k3_tarski(X0)) ),
inference(superposition,[status(thm)],[c_2542,c_1686]) ).
tcf(c_178890,plain,
! [X0: $i,X1: $i] :
( v1_finset_1(k4_xboole_0(X0,X1))
| ~ v1_finset_1(k5_xboole_0(X0,X1)) ),
inference(superposition,[status(thm)],[c_2608,c_1686]) ).
tcf(c_178891,plain,
( v1_finset_1(k5_numbers)
| ~ v1_finset_1(k4_numbers) ),
inference(superposition,[status(thm)],[c_2729,c_1686]) ).
tcf(c_178895,plain,
( v1_finset_1(k5_numbers)
| ~ v1_finset_1(k3_numbers) ),
inference(superposition,[status(thm)],[c_2737,c_1686]) ).
tcf(c_178897,plain,
( v1_finset_1(k3_numbers)
| ~ v1_finset_1(k1_numbers) ),
inference(superposition,[status(thm)],[c_2739,c_1686]) ).
tcf(c_178898,plain,
! [X0: $i,X1: $i] :
( v1_finset_1(k8_relat_1(X1,X0))
| ~ v1_finset_1(X0)
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_3314,c_1686]) ).
tcf(c_178899,plain,
! [X0: $i] :
( v1_finset_1(X0)
| r2_hidden(sK550(X0),X0)
| ~ v1_finset_1(sK551(X0)) ),
inference(superposition,[status(thm)],[c_3506,c_1686]) ).
tcf(c_178900,plain,
! [X0: $i] :
( v1_finset_1(X0)
| ~ v3_ordinal1(sK550(X0))
| ~ v1_finset_1(sK551(X0)) ),
inference(superposition,[status(thm)],[c_3504,c_1686]) ).
tcf(c_178902,plain,
( v1_finset_1(k5_numbers)
| ~ v1_finset_1(k2_numbers) ),
inference(superposition,[status(thm)],[c_3646,c_1686]) ).
tcf(c_178904,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| v1_finset_1(sK87(X0))
| ~ v1_finset_1(X0) ),
inference(superposition,[status(thm)],[c_167342,c_1686]) ).
tcf(c_178907,plain,
! [X0: $i,X1: $i] :
( v1_finset_1(k2_tarski(X0,X0))
| ~ v1_finset_1(k2_tarski(X0,X1)) ),
inference(superposition,[status(thm)],[c_47411,c_1686]) ).
tcf(c_178908,plain,
! [X0: $i,X1: $i] :
( v1_finset_1(k2_tarski(X1,X1))
| ~ v1_finset_1(k2_tarski(X0,X1)) ),
inference(superposition,[status(thm)],[c_47412,c_1686]) ).
tcf(c_178909,plain,
! [X0: $i] :
( v1_finset_1(k2_tarski(X0,X0))
| ~ v1_finset_1(k1_zfmisc_1(X0)) ),
inference(superposition,[status(thm)],[c_47413,c_1686]) ).
tcf(c_178911,plain,
! [X0: $i] :
( v1_finset_1(k2_tarski(X0,np__0))
| ~ v1_finset_1(k1_zfmisc_1(X0)) ),
inference(superposition,[status(thm)],[c_159660,c_1686]) ).
tcf(c_178912,plain,
! [X0: $i] :
( v1_finset_1(k1_setfam_1(k1_zfmisc_1(X0)))
| ~ v1_finset_1(X0) ),
inference(superposition,[status(thm)],[c_160376,c_1686]) ).
tcf(c_178914,plain,
! [X0: $i,X1: $i] :
( v1_finset_1(X1)
| ~ v1_finset_1(k3_tarski(k2_tarski(X0,X1))) ),
inference(superposition,[status(thm)],[c_162055,c_1686]) ).
tcf(c_178915,plain,
! [X0: $i] :
( v1_finset_1(k2_tarski(np__0,X0))
| ~ v1_finset_1(k1_zfmisc_1(X0)) ),
inference(superposition,[status(thm)],[c_162071,c_1686]) ).
tcf(c_178919,plain,
! [X0: $i] :
( v1_finset_1(sK52(k1_zfmisc_1(X0)))
| ~ v1_finset_1(X0) ),
inference(superposition,[status(thm)],[c_167340,c_1686]) ).
tcf(c_178920,plain,
! [X0: $i] :
( v1_finset_1(X0)
| ~ v1_finset_1(k3_relat_1(k6_partfun1(X0))) ),
inference(superposition,[status(thm)],[c_169238,c_1686]) ).
tcf(c_178921,plain,
( v1_finset_1(sK92(k1_zfmisc_1(u1_struct_0(sK39))))
| ~ v1_finset_1(u1_struct_0(sK39)) ),
inference(superposition,[status(thm)],[c_174648,c_1686]) ).
tcf(c_178924,plain,
~ v1_finset_1(k2_numbers),
inference(forward_subsumption_resolution,[status(thm)],[c_178902,c_1656]) ).
tcf(c_178927,plain,
~ v1_finset_1(k3_numbers),
inference(forward_subsumption_resolution,[status(thm)],[c_178895,c_1656]) ).
tcf(c_178928,plain,
~ v1_finset_1(k1_numbers),
inference(backward_subsumption_resolution,[status(thm)],[c_178897,c_178927]) ).
tcf(c_178929,plain,
~ v1_finset_1(k4_numbers),
inference(forward_subsumption_resolution,[status(thm)],[c_178891,c_1656]) ).
tcf(c_179035,plain,
( ( k1_zfmisc_1(sK92(k1_zfmisc_1(u1_struct_0(sK39)))) = k5_finsub_1(sK92(k1_zfmisc_1(u1_struct_0(sK39)))) )
| ~ v1_finset_1(u1_struct_0(sK39)) ),
inference(superposition,[status(thm)],[c_178921,c_1652]) ).
tcf(c_179058,plain,
! [X0: $i] :
( v3_membered(k1_zfmisc_1(np__0))
| ~ v3_membered(k5_finsub_1(X0)) ),
inference(superposition,[status(thm)],[c_178809,c_1484]) ).
tcf(c_179059,plain,
! [X0: $i] :
( v4_membered(k1_zfmisc_1(np__0))
| ~ v4_membered(k5_finsub_1(X0)) ),
inference(superposition,[status(thm)],[c_178809,c_1427]) ).
tcf(c_179060,plain,
! [X0: $i] :
( v5_membered(k1_zfmisc_1(np__0))
| ~ v5_membered(k5_finsub_1(X0)) ),
inference(superposition,[status(thm)],[c_178809,c_1335]) ).
tcf(c_179061,plain,
! [X0: $i] :
( v1_relat_1(k1_zfmisc_1(np__0))
| ~ v1_relat_1(k5_finsub_1(X0)) ),
inference(superposition,[status(thm)],[c_178809,c_539]) ).
tcf(c_179062,plain,
! [X0: $i] : ~ r2_hidden(k5_finsub_1(X0),k1_zfmisc_1(np__0)),
inference(superposition,[status(thm)],[c_178809,c_538]) ).
tcf(c_179087,plain,
! [X0: $i] :
( l1_struct_0(sK276(X0))
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_178647,c_152]) ).
tcf(c_179095,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k1_setfam_1(k2_tarski(X2,X0)),X1)
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_48896,c_1730]) ).
tcf(c_179096,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k1_setfam_1(k2_tarski(X0,X2)),X1)
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_2532,c_1730]) ).
tcf(c_179097,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_tarski(k2_zfmisc_1(k4_xboole_0(X0,X3),X1),X2)
| ~ r1_tarski(k2_zfmisc_1(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_1713,c_1730]) ).
tcf(c_179098,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_tarski(k2_zfmisc_1(X0,k4_xboole_0(X1,X3)),X2)
| ~ r1_tarski(k2_zfmisc_1(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_1714,c_1730]) ).
tcf(c_179099,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_tarski(k4_xboole_0(k4_xboole_0(X0,X2),X3),X1)
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_484,c_1730]) ).
tcf(c_179101,plain,
! [X0: $i,X1: $i] :
( r1_tarski(np__0,X1)
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_45740,c_1730]) ).
tcf(c_179102,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k4_xboole_0(X0,X1),X2)
| ~ r1_tarski(k3_tarski(k2_tarski(X0,X1)),X2) ),
inference(superposition,[status(thm)],[c_485,c_1730]) ).
tcf(c_179104,plain,
! [X0: $i,X1: $i] :
( r1_tarski(np__0,X1)
| ~ r1_tarski(k2_tarski(X0,X0),X1) ),
inference(superposition,[status(thm)],[c_48462,c_1730]) ).
tcf(c_179107,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k5_xboole_0(X0,X1),X2)
| ~ r1_tarski(k3_tarski(k2_tarski(X0,X1)),X2) ),
inference(superposition,[status(thm)],[c_51197,c_1730]) ).
tcf(c_179108,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k2_tarski(X0,X0),X2)
| ( X0 = X1 )
| ~ r1_tarski(k2_tarski(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_54771,c_1730]) ).
tcf(c_179109,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_finset_1(k4_xboole_0(X0,X2))
| ~ v1_finset_1(X1)
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_1730,c_1686]) ).
tcf(c_179110,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_membered(k4_xboole_0(X0,X2))
| ~ v1_membered(X1)
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_1730,c_1573]) ).
tcf(c_179111,plain,
! [X0: $i,X1: $i,X2: $i] :
( v2_membered(k4_xboole_0(X0,X2))
| ~ v2_membered(X1)
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_1730,c_1527]) ).
tcf(c_179112,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_membered(k4_xboole_0(X0,X2))
| ~ v3_membered(X1)
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_1730,c_1484]) ).
tcf(c_179113,plain,
! [X0: $i,X1: $i,X2: $i] :
( v4_membered(k4_xboole_0(X0,X2))
| ~ v4_membered(X1)
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_1730,c_1427]) ).
tcf(c_179114,plain,
! [X0: $i,X1: $i,X2: $i] :
( v5_membered(k4_xboole_0(X0,X2))
| ~ v5_membered(X1)
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_1730,c_1335]) ).
tcf(c_179115,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_relat_1(k4_xboole_0(X0,X2))
| ~ v1_relat_1(X1)
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_1730,c_539]) ).
tcf(c_179116,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r1_tarski(X1,X0)
| ~ r2_hidden(X0,k4_xboole_0(X1,X2)) ),
inference(superposition,[status(thm)],[c_1730,c_538]) ).
tcf(c_179117,plain,
! [X0: $i,X1: $i] :
( ( k4_xboole_0(X0,X1) = np__0 )
| ~ r1_tarski(X0,np__0) ),
inference(superposition,[status(thm)],[c_1730,c_564]) ).
tcf(c_179118,plain,
! [X0: $i,X1: $i] :
( v1_membered(k4_xboole_0(X0,X1))
| ~ r1_tarski(X0,k5_numbers) ),
inference(superposition,[status(thm)],[c_1730,c_167221]) ).
tcf(c_179119,plain,
! [X0: $i,X1: $i] :
( v2_membered(k4_xboole_0(X0,X1))
| ~ r1_tarski(X0,k5_numbers) ),
inference(superposition,[status(thm)],[c_1730,c_167220]) ).
tcf(c_179120,plain,
! [X0: $i,X1: $i] :
( v3_membered(k4_xboole_0(X0,X1))
| ~ r1_tarski(X0,k5_numbers) ),
inference(superposition,[status(thm)],[c_1730,c_167219]) ).
tcf(c_179121,plain,
! [X0: $i,X1: $i] :
( v4_membered(k4_xboole_0(X0,X1))
| ~ r1_tarski(X0,k5_numbers) ),
inference(superposition,[status(thm)],[c_1730,c_167218]) ).
tcf(c_179122,plain,
! [X0: $i,X1: $i] :
( v5_membered(k4_xboole_0(X0,X1))
| ~ r1_tarski(X0,k5_numbers) ),
inference(superposition,[status(thm)],[c_1730,c_167217]) ).
tcf(c_179123,plain,
! [X0: $i,X1: $i] :
( v1_membered(k4_xboole_0(X0,X1))
| ~ r1_tarski(X0,k4_numbers) ),
inference(superposition,[status(thm)],[c_1730,c_167225]) ).
tcf(c_179124,plain,
! [X0: $i,X1: $i] :
( v2_membered(k4_xboole_0(X0,X1))
| ~ r1_tarski(X0,k4_numbers) ),
inference(superposition,[status(thm)],[c_1730,c_167224]) ).
tcf(c_179125,plain,
! [X0: $i,X1: $i] :
( v3_membered(k4_xboole_0(X0,X1))
| ~ r1_tarski(X0,k4_numbers) ),
inference(superposition,[status(thm)],[c_1730,c_167223]) ).
tcf(c_179126,plain,
! [X0: $i,X1: $i] :
( v4_membered(k4_xboole_0(X0,X1))
| ~ r1_tarski(X0,k4_numbers) ),
inference(superposition,[status(thm)],[c_1730,c_167222]) ).
tcf(c_179127,plain,
! [X0: $i,X1: $i] :
( v1_membered(k4_xboole_0(X0,X1))
| ~ r1_tarski(X0,k3_numbers) ),
inference(superposition,[status(thm)],[c_1730,c_167228]) ).
tcf(c_179128,plain,
! [X0: $i,X1: $i] :
( v2_membered(k4_xboole_0(X0,X1))
| ~ r1_tarski(X0,k3_numbers) ),
inference(superposition,[status(thm)],[c_1730,c_167227]) ).
tcf(c_179129,plain,
! [X0: $i,X1: $i] :
( v3_membered(k4_xboole_0(X0,X1))
| ~ r1_tarski(X0,k3_numbers) ),
inference(superposition,[status(thm)],[c_1730,c_167226]) ).
tcf(c_179130,plain,
! [X0: $i,X1: $i] :
( v1_membered(k4_xboole_0(X0,X1))
| ~ r1_tarski(X0,k1_numbers) ),
inference(superposition,[status(thm)],[c_1730,c_167230]) ).
tcf(c_179131,plain,
! [X0: $i,X1: $i] :
( v2_membered(k4_xboole_0(X0,X1))
| ~ r1_tarski(X0,k1_numbers) ),
inference(superposition,[status(thm)],[c_1730,c_167229]) ).
tcf(c_179132,plain,
! [X0: $i,X1: $i] :
( v1_membered(k4_xboole_0(X0,X1))
| ~ r1_tarski(X0,k2_numbers) ),
inference(superposition,[status(thm)],[c_1730,c_167231]) ).
tcf(c_179261,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k4_xboole_0(X0,X1),X2)
| r2_hidden(sK82(k4_xboole_0(X0,X1),X2),X0) ),
inference(superposition,[status(thm)],[c_572,c_1745]) ).
tcf(c_179262,plain,
! [X0: $i,X1: $i] :
( r2_hidden(sK114(k4_xboole_0(X0,X1)),X0)
| ( k4_xboole_0(X0,X1) = np__0 ) ),
inference(superposition,[status(thm)],[c_697,c_1745]) ).
tcf(c_179263,plain,
! [X0: $i,X1: $i] :
( r2_hidden(sK127(k4_xboole_0(X0,X1)),X0)
| ( k4_xboole_0(X0,X1) = np__0 ) ),
inference(superposition,[status(thm)],[c_758,c_1745]) ).
tcf(c_179264,plain,
! [X0: $i,X1: $i] :
( sP9(k4_xboole_0(X0,X1))
| v1_funct_1(k4_xboole_0(X0,X1))
| r2_hidden(sK133(k4_xboole_0(X0,X1)),X0) ),
inference(superposition,[status(thm)],[c_769,c_1745]) ).
tcf(c_179265,plain,
! [X0: $i,X1: $i] :
( sP9(k4_xboole_0(X0,X1))
| v1_relat_1(k4_xboole_0(X0,X1))
| r2_hidden(sK133(k4_xboole_0(X0,X1)),X0) ),
inference(superposition,[status(thm)],[c_767,c_1745]) ).
tcf(c_179266,plain,
! [X0: $i,X1: $i] :
( v1_relat_1(k4_xboole_0(X0,X1))
| r2_hidden(sK146(k4_xboole_0(X0,X1)),X0) ),
inference(superposition,[status(thm)],[c_787,c_1745]) ).
tcf(c_179267,plain,
! [X0: $i,X1: $i] :
( v5_membered(k3_tarski(k4_xboole_0(X0,X1)))
| r2_hidden(sK223(k4_xboole_0(X0,X1)),X0) ),
inference(superposition,[status(thm)],[c_1321,c_1745]) ).
tcf(c_179268,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(k4_xboole_0(X0,X1))
| r2_hidden(sK228(k4_xboole_0(X0,X1)),X0)
| ~ v5_membered(k4_xboole_0(X0,X1)) ),
inference(superposition,[status(thm)],[c_1339,c_1745]) ).
tcf(c_179269,plain,
! [X0: $i,X1: $i] :
( v5_membered(k4_xboole_0(X0,X1))
| r2_hidden(sK229(k4_xboole_0(X0,X1)),X0) ),
inference(superposition,[status(thm)],[c_1342,c_1745]) ).
tcf(c_179270,plain,
! [X0: $i,X1: $i] :
( v4_membered(k3_tarski(k4_xboole_0(X0,X1)))
| r2_hidden(sK231(k4_xboole_0(X0,X1)),X0) ),
inference(superposition,[status(thm)],[c_1413,c_1745]) ).
tcf(c_179271,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(k4_xboole_0(X0,X1))
| r2_hidden(sK236(k4_xboole_0(X0,X1)),X0)
| ~ v4_membered(k4_xboole_0(X0,X1)) ),
inference(superposition,[status(thm)],[c_1431,c_1745]) ).
tcf(c_179272,plain,
! [X0: $i,X1: $i] :
( v4_membered(k4_xboole_0(X0,X1))
| r2_hidden(sK237(k4_xboole_0(X0,X1)),X0) ),
inference(superposition,[status(thm)],[c_1434,c_1745]) ).
tcf(c_179273,plain,
! [X0: $i,X1: $i] :
( v3_membered(k3_tarski(k4_xboole_0(X0,X1)))
| r2_hidden(sK238(k4_xboole_0(X0,X1)),X0) ),
inference(superposition,[status(thm)],[c_1483,c_1745]) ).
tcf(c_179274,plain,
! [X0: $i,X1: $i] :
( v2_membered(k3_tarski(k4_xboole_0(X0,X1)))
| r2_hidden(sK239(k4_xboole_0(X0,X1)),X0) ),
inference(superposition,[status(thm)],[c_1513,c_1745]) ).
tcf(c_179275,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(k4_xboole_0(X0,X1))
| r2_hidden(sK244(k4_xboole_0(X0,X1)),X0)
| ~ v2_membered(k4_xboole_0(X0,X1)) ),
inference(superposition,[status(thm)],[c_1531,c_1745]) ).
tcf(c_179276,plain,
! [X0: $i,X1: $i] :
( v2_membered(k4_xboole_0(X0,X1))
| r2_hidden(sK245(k4_xboole_0(X0,X1)),X0) ),
inference(superposition,[status(thm)],[c_1534,c_1745]) ).
tcf(c_179277,plain,
! [X0: $i,X1: $i] :
( v1_membered(k3_tarski(k4_xboole_0(X0,X1)))
| r2_hidden(sK246(k4_xboole_0(X0,X1)),X0) ),
inference(superposition,[status(thm)],[c_1559,c_1745]) ).
tcf(c_179278,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(k4_xboole_0(X0,X1))
| r2_hidden(sK250(k4_xboole_0(X0,X1)),X0)
| ~ v1_membered(k4_xboole_0(X0,X1)) ),
inference(superposition,[status(thm)],[c_1575,c_1745]) ).
tcf(c_179279,plain,
! [X0: $i,X1: $i] :
( v1_membered(k4_xboole_0(X0,X1))
| r2_hidden(sK251(k4_xboole_0(X0,X1)),X0) ),
inference(superposition,[status(thm)],[c_1577,c_1745]) ).
tcf(c_179280,plain,
! [X0: $i,X1: $i] :
( v1_realset1(k4_xboole_0(X0,X1))
| r2_hidden(sK315(k4_xboole_0(X0,X1)),X0) ),
inference(superposition,[status(thm)],[c_1986,c_1745]) ).
tcf(c_179281,plain,
! [X0: $i,X1: $i] :
( v1_realset1(k4_xboole_0(X0,X1))
| r2_hidden(sK316(k4_xboole_0(X0,X1)),X0) ),
inference(superposition,[status(thm)],[c_1987,c_1745]) ).
tcf(c_179282,plain,
! [X0: $i,X1: $i] :
( r2_hidden(sK381(k4_xboole_0(X0,X1)),X0)
| ( k4_xboole_0(X0,X1) = np__0 ) ),
inference(superposition,[status(thm)],[c_2399,c_1745]) ).
tcf(c_179283,plain,
! [X0: $i,X1: $i] :
( r2_hidden(sK382(k4_xboole_0(X0,X1)),X0)
| ( k4_xboole_0(X0,X1) = np__0 ) ),
inference(superposition,[status(thm)],[c_2401,c_1745]) ).
tcf(c_179284,plain,
! [X0: $i,X1: $i] :
( r2_hidden(sK383(k4_xboole_0(X0,X1)),X0)
| ( k4_xboole_0(X0,X1) = np__0 ) ),
inference(superposition,[status(thm)],[c_2403,c_1745]) ).
tcf(c_179285,plain,
! [X0: $i,X1: $i] :
( r2_hidden(sK384(k4_xboole_0(X0,X1)),X0)
| ( k4_xboole_0(X0,X1) = np__0 ) ),
inference(superposition,[status(thm)],[c_2405,c_1745]) ).
tcf(c_179286,plain,
! [X0: $i,X1: $i] :
( r2_hidden(sK385(k4_xboole_0(X0,X1)),X0)
| ( k4_xboole_0(X0,X1) = np__0 ) ),
inference(superposition,[status(thm)],[c_2407,c_1745]) ).
tcf(c_179287,plain,
! [X0: $i,X1: $i] :
( r2_hidden(sK386(k4_xboole_0(X0,X1)),X0)
| ( k4_xboole_0(X0,X1) = np__0 ) ),
inference(superposition,[status(thm)],[c_2409,c_1745]) ).
tcf(c_179288,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_xboole_0(k4_xboole_0(X0,X1),X2)
| r2_hidden(sK392(k4_xboole_0(X0,X1),X2),X0) ),
inference(superposition,[status(thm)],[c_2475,c_1745]) ).
tcf(c_179289,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_xboole_0(X0,k4_xboole_0(X1,X2))
| r2_hidden(sK392(X0,k4_xboole_0(X1,X2)),X1) ),
inference(superposition,[status(thm)],[c_2476,c_1745]) ).
tcf(c_179290,plain,
! [X0: $i,X1: $i] :
( v3_ordinal1(k3_tarski(k4_xboole_0(X0,X1)))
| r2_hidden(sK395(k4_xboole_0(X0,X1)),X0) ),
inference(superposition,[status(thm)],[c_2503,c_1745]) ).
tcf(c_179291,plain,
! [X0: $i,X1: $i] :
( v3_ordinal1(k1_setfam_1(k4_xboole_0(X0,X1)))
| r2_hidden(sK400(k4_xboole_0(X0,X1)),X0) ),
inference(superposition,[status(thm)],[c_2531,c_1745]) ).
tcf(c_179292,plain,
! [X0: $i,X1: $i] :
( r2_hidden(np__0,X0)
| v1_xboole_0(k4_xboole_0(X0,X1))
| ~ v4_finsub_1(k4_xboole_0(X0,X1)) ),
inference(superposition,[status(thm)],[c_3600,c_1745]) ).
tcf(c_179293,plain,
! [X0: $i,X1: $i] :
( v3_ordinal1(sK549(k4_xboole_0(X0,X1)))
| r2_hidden(sK549(k4_xboole_0(X0,X1)),X0) ),
inference(superposition,[status(thm)],[c_3503,c_1745]) ).
tcf(c_179294,plain,
! [X0: $i,X1: $i] :
( v3_ordinal1(sK551(k4_xboole_0(X0,X1)))
| r2_hidden(sK550(k4_xboole_0(X0,X1)),X0) ),
inference(superposition,[status(thm)],[c_3507,c_1745]) ).
tcf(c_179295,plain,
! [X0: $i,X1: $i] :
( v3_ordinal1(k4_xboole_0(X0,X1))
| r2_hidden(sK552(k4_xboole_0(X0,X1)),X0) ),
inference(superposition,[status(thm)],[c_3509,c_1745]) ).
tcf(c_179296,plain,
! [X0: $i,X1: $i] :
( v4_finsub_1(k4_xboole_0(X0,X1))
| r2_hidden(sK558(k4_xboole_0(X0,X1)),X0) ),
inference(superposition,[status(thm)],[c_3603,c_1745]) ).
tcf(c_179297,plain,
! [X0: $i,X1: $i] :
( v4_finsub_1(k4_xboole_0(X0,X1))
| r2_hidden(sK559(k4_xboole_0(X0,X1)),X0) ),
inference(superposition,[status(thm)],[c_3604,c_1745]) ).
tcf(c_179298,plain,
! [X0: $i,X1: $i] :
( v4_finsub_1(k4_xboole_0(X0,X1))
| r2_hidden(sK92(k4_xboole_0(X0,X1)),X0) ),
inference(superposition,[status(thm)],[c_167549,c_1745]) ).
tcf(c_179299,plain,
! [X0: $i,X1: $i] :
( v3_ordinal1(k4_xboole_0(X0,X1))
| r2_hidden(sK92(k4_xboole_0(X0,X1)),X0) ),
inference(superposition,[status(thm)],[c_167548,c_1745]) ).
tcf(c_179300,plain,
! [X0: $i,X1: $i] :
( v1_realset1(k4_xboole_0(X0,X1))
| r2_hidden(sK92(k4_xboole_0(X0,X1)),X0) ),
inference(superposition,[status(thm)],[c_167537,c_1745]) ).
tcf(c_179301,plain,
! [X0: $i,X1: $i] :
( v1_membered(k4_xboole_0(X0,X1))
| r2_hidden(sK92(k4_xboole_0(X0,X1)),X0) ),
inference(superposition,[status(thm)],[c_167536,c_1745]) ).
tcf(c_179302,plain,
! [X0: $i,X1: $i] :
( v2_membered(k4_xboole_0(X0,X1))
| r2_hidden(sK92(k4_xboole_0(X0,X1)),X0) ),
inference(superposition,[status(thm)],[c_167534,c_1745]) ).
tcf(c_179303,plain,
! [X0: $i,X1: $i] :
( v4_membered(k4_xboole_0(X0,X1))
| r2_hidden(sK92(k4_xboole_0(X0,X1)),X0) ),
inference(superposition,[status(thm)],[c_167531,c_1745]) ).
tcf(c_179304,plain,
! [X0: $i,X1: $i] :
( v5_membered(k4_xboole_0(X0,X1))
| r2_hidden(sK92(k4_xboole_0(X0,X1)),X0) ),
inference(superposition,[status(thm)],[c_167529,c_1745]) ).
tcf(c_179305,plain,
! [X0: $i,X1: $i] :
( v1_relat_1(k4_xboole_0(X0,X1))
| r2_hidden(sK92(k4_xboole_0(X0,X1)),X0) ),
inference(superposition,[status(thm)],[c_167527,c_1745]) ).
tcf(c_179307,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(X0,X1)
| ~ r2_hidden(X0,k1_setfam_1(k2_tarski(X1,X2))) ),
inference(superposition,[status(thm)],[c_2532,c_1745]) ).
tcf(c_179308,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r2_hidden(X0,k2_zfmisc_1(X1,X3))
| ~ r2_hidden(X0,k2_zfmisc_1(k4_xboole_0(X1,X2),X3)) ),
inference(superposition,[status(thm)],[c_1713,c_1745]) ).
tcf(c_179309,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r2_hidden(X0,k2_zfmisc_1(X1,X2))
| ~ r2_hidden(X0,k2_zfmisc_1(X1,k4_xboole_0(X2,X3))) ),
inference(superposition,[status(thm)],[c_1714,c_1745]) ).
tcf(c_179310,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r2_hidden(X0,X1)
| ~ r2_hidden(X0,k4_xboole_0(k4_xboole_0(X1,X2),X3)) ),
inference(superposition,[status(thm)],[c_484,c_1745]) ).
tcf(c_179313,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(X0,k3_tarski(k2_tarski(X1,X2)))
| ~ r2_hidden(X0,k4_xboole_0(X1,X2)) ),
inference(superposition,[status(thm)],[c_485,c_1745]) ).
tcf(c_179318,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(X0,k3_tarski(k2_tarski(X1,X2)))
| ~ r2_hidden(X0,k5_xboole_0(X1,X2)) ),
inference(superposition,[status(thm)],[c_51197,c_1745]) ).
tcf(c_179319,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(X0,k2_tarski(X1,X2))
| ( X1 = X2 )
| ~ r2_hidden(X0,k2_tarski(X1,X1)) ),
inference(superposition,[status(thm)],[c_54771,c_1745]) ).
tcf(c_179535,plain,
! [X0: $i] :
( v3_struct_0(X0)
| l1_pre_topc(sK275(X0))
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_1789,c_1614]) ).
tcf(c_179539,plain,
! [X0: $i,X1: $i] : v5_membered(k1_setfam_1(k2_tarski(X0,k4_xboole_0(k5_numbers,X1)))),
inference(superposition,[status(thm)],[c_48896,c_169868]) ).
tcf(c_179540,plain,
! [X0: $i,X1: $i] : v5_membered(k1_setfam_1(k2_tarski(k4_xboole_0(k5_numbers,X0),X1))),
inference(superposition,[status(thm)],[c_2532,c_169868]) ).
tcf(c_179546,plain,
! [X0: $i,X1: $i] : v5_membered(k4_xboole_0(k1_setfam_1(k2_tarski(k5_numbers,X0)),X1)),
inference(superposition,[status(thm)],[c_2532,c_169868]) ).
tcf(c_179547,plain,
! [X0: $i,X1: $i,X2: $i] : v5_membered(k4_xboole_0(k4_xboole_0(k4_xboole_0(k5_numbers,X0),X1),X2)),
inference(superposition,[status(thm)],[c_484,c_169868]) ).
tcf(c_179549,plain,
! [X0: $i] : v5_membered(k4_xboole_0(np__0,X0)),
inference(superposition,[status(thm)],[c_45740,c_169868]) ).
tcf(c_179566,plain,
! [X0: $i,X1: $i] : v3_membered(k1_setfam_1(k2_tarski(X0,k4_xboole_0(k5_numbers,X1)))),
inference(superposition,[status(thm)],[c_48896,c_169912]) ).
tcf(c_179567,plain,
! [X0: $i,X1: $i] : v3_membered(k1_setfam_1(k2_tarski(k4_xboole_0(k5_numbers,X0),X1))),
inference(superposition,[status(thm)],[c_2532,c_169912]) ).
tcf(c_179573,plain,
! [X0: $i,X1: $i] : v3_membered(k4_xboole_0(k1_setfam_1(k2_tarski(k5_numbers,X0)),X1)),
inference(superposition,[status(thm)],[c_2532,c_169912]) ).
tcf(c_179574,plain,
! [X0: $i,X1: $i,X2: $i] : v3_membered(k4_xboole_0(k4_xboole_0(k4_xboole_0(k5_numbers,X0),X1),X2)),
inference(superposition,[status(thm)],[c_484,c_169912]) ).
tcf(c_179576,plain,
! [X0: $i] : v3_membered(k4_xboole_0(np__0,X0)),
inference(superposition,[status(thm)],[c_45740,c_169912]) ).
tcf(c_179585,plain,
! [X0: $i,X1: $i] : v2_membered(k1_setfam_1(k2_tarski(X0,k4_xboole_0(k5_numbers,X1)))),
inference(superposition,[status(thm)],[c_48896,c_169923]) ).
tcf(c_179586,plain,
! [X0: $i,X1: $i] : v2_membered(k1_setfam_1(k2_tarski(k4_xboole_0(k5_numbers,X0),X1))),
inference(superposition,[status(thm)],[c_2532,c_169923]) ).
tcf(c_179592,plain,
! [X0: $i,X1: $i] : v2_membered(k4_xboole_0(k1_setfam_1(k2_tarski(k5_numbers,X0)),X1)),
inference(superposition,[status(thm)],[c_2532,c_169923]) ).
tcf(c_179593,plain,
! [X0: $i,X1: $i,X2: $i] : v2_membered(k4_xboole_0(k4_xboole_0(k4_xboole_0(k5_numbers,X0),X1),X2)),
inference(superposition,[status(thm)],[c_484,c_169923]) ).
tcf(c_179595,plain,
! [X0: $i] : v2_membered(k4_xboole_0(np__0,X0)),
inference(superposition,[status(thm)],[c_45740,c_169923]) ).
tcf(c_179609,plain,
! [X0: $i,X1: $i] : v1_membered(k1_setfam_1(k2_tarski(X0,k4_xboole_0(k5_numbers,X1)))),
inference(superposition,[status(thm)],[c_48896,c_169933]) ).
tcf(c_179610,plain,
! [X0: $i,X1: $i] : v1_membered(k1_setfam_1(k2_tarski(k4_xboole_0(k5_numbers,X0),X1))),
inference(superposition,[status(thm)],[c_2532,c_169933]) ).
tcf(c_179616,plain,
! [X0: $i,X1: $i] : v1_membered(k4_xboole_0(k1_setfam_1(k2_tarski(k5_numbers,X0)),X1)),
inference(superposition,[status(thm)],[c_2532,c_169933]) ).
tcf(c_179617,plain,
! [X0: $i,X1: $i,X2: $i] : v1_membered(k4_xboole_0(k4_xboole_0(k4_xboole_0(k5_numbers,X0),X1),X2)),
inference(superposition,[status(thm)],[c_484,c_169933]) ).
tcf(c_179619,plain,
! [X0: $i] : v1_membered(k4_xboole_0(np__0,X0)),
inference(superposition,[status(thm)],[c_45740,c_169933]) ).
tcf(c_179632,plain,
! [X0: $i,X1: $i] : v4_membered(k1_setfam_1(k2_tarski(X0,k4_xboole_0(k5_numbers,X1)))),
inference(superposition,[status(thm)],[c_48896,c_169942]) ).
tcf(c_179633,plain,
! [X0: $i,X1: $i] : v4_membered(k1_setfam_1(k2_tarski(k4_xboole_0(k5_numbers,X0),X1))),
inference(superposition,[status(thm)],[c_2532,c_169942]) ).
tcf(c_179639,plain,
! [X0: $i,X1: $i] : v4_membered(k4_xboole_0(k1_setfam_1(k2_tarski(k5_numbers,X0)),X1)),
inference(superposition,[status(thm)],[c_2532,c_169942]) ).
tcf(c_179640,plain,
! [X0: $i,X1: $i,X2: $i] : v4_membered(k4_xboole_0(k4_xboole_0(k4_xboole_0(k5_numbers,X0),X1),X2)),
inference(superposition,[status(thm)],[c_484,c_169942]) ).
tcf(c_179642,plain,
! [X0: $i] : v4_membered(k4_xboole_0(np__0,X0)),
inference(superposition,[status(thm)],[c_45740,c_169942]) ).
tcf(c_179692,plain,
! [X0: $i] :
( ( k1_zfmisc_1(sK421(X0)) = k5_finsub_1(sK421(X0)) )
| ~ v1_finset_1(X0) ),
inference(superposition,[status(thm)],[c_170344,c_1652]) ).
tcf(c_179702,plain,
! [X0: $i] :
( v3_struct_0(X0)
| l1_struct_0(sK275(X0))
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_179535,c_152]) ).
tcf(c_179725,plain,
! [X0: $i] :
( ( k1_zfmisc_1(u1_struct_0(X0)) = k5_finsub_1(u1_struct_0(X0)) )
| ~ v6_group_1(X0)
| ~ l1_struct_0(X0) ),
inference(superposition,[status(thm)],[c_1839,c_1652]) ).
tcf(c_179727,plain,
( ( k1_zfmisc_1(sK92(k1_zfmisc_1(u1_struct_0(sK39)))) = k5_finsub_1(sK92(k1_zfmisc_1(u1_struct_0(sK39)))) )
| ~ v6_group_1(sK39)
| ~ l1_struct_0(sK39) ),
inference(superposition,[status(thm)],[c_1839,c_179035]) ).
tcf(c_179731,plain,
( ( k1_zfmisc_1(sK92(k1_zfmisc_1(u1_struct_0(sK39)))) = k5_finsub_1(sK92(k1_zfmisc_1(u1_struct_0(sK39)))) )
| ~ v6_group_1(sK39) ),
inference(forward_subsumption_resolution,[status(thm)],[c_179727,c_159583]) ).
tcf(c_179747,plain,
! [X0: $i,X1: $i] : v4_membered(k1_setfam_1(k2_tarski(X0,k4_xboole_0(k4_numbers,X1)))),
inference(superposition,[status(thm)],[c_48896,c_170702]) ).
tcf(c_179748,plain,
! [X0: $i,X1: $i] : v4_membered(k1_setfam_1(k2_tarski(k4_xboole_0(k4_numbers,X0),X1))),
inference(superposition,[status(thm)],[c_2532,c_170702]) ).
tcf(c_179754,plain,
! [X0: $i,X1: $i] : v4_membered(k4_xboole_0(k1_setfam_1(k2_tarski(k4_numbers,X0)),X1)),
inference(superposition,[status(thm)],[c_2532,c_170702]) ).
tcf(c_179755,plain,
! [X0: $i,X1: $i,X2: $i] : v4_membered(k4_xboole_0(k4_xboole_0(k4_xboole_0(k4_numbers,X0),X1),X2)),
inference(superposition,[status(thm)],[c_484,c_170702]) ).
tcf(c_179770,plain,
! [X0: $i] :
( ( k1_zfmisc_1(sK561(X0)) = k5_finsub_1(sK561(X0)) )
| ~ v1_finset_1(X0) ),
inference(superposition,[status(thm)],[c_170744,c_1652]) ).
tcf(c_179774,plain,
! [X0: $i,X1: $i] : v2_membered(k1_setfam_1(k2_tarski(X0,k4_xboole_0(k4_numbers,X1)))),
inference(superposition,[status(thm)],[c_48896,c_170798]) ).
tcf(c_179775,plain,
! [X0: $i,X1: $i] : v2_membered(k1_setfam_1(k2_tarski(k4_xboole_0(k4_numbers,X0),X1))),
inference(superposition,[status(thm)],[c_2532,c_170798]) ).
tcf(c_179781,plain,
! [X0: $i,X1: $i] : v2_membered(k4_xboole_0(k1_setfam_1(k2_tarski(k4_numbers,X0)),X1)),
inference(superposition,[status(thm)],[c_2532,c_170798]) ).
tcf(c_179782,plain,
! [X0: $i,X1: $i,X2: $i] : v2_membered(k4_xboole_0(k4_xboole_0(k4_xboole_0(k4_numbers,X0),X1),X2)),
inference(superposition,[status(thm)],[c_484,c_170798]) ).
tcf(c_179797,plain,
! [X0: $i,X1: $i] : v1_membered(k1_setfam_1(k2_tarski(X0,k4_xboole_0(k4_numbers,X1)))),
inference(superposition,[status(thm)],[c_48896,c_170808]) ).
tcf(c_179798,plain,
! [X0: $i,X1: $i] : v1_membered(k1_setfam_1(k2_tarski(k4_xboole_0(k4_numbers,X0),X1))),
inference(superposition,[status(thm)],[c_2532,c_170808]) ).
tcf(c_179804,plain,
! [X0: $i,X1: $i] : v1_membered(k4_xboole_0(k1_setfam_1(k2_tarski(k4_numbers,X0)),X1)),
inference(superposition,[status(thm)],[c_2532,c_170808]) ).
tcf(c_179805,plain,
! [X0: $i,X1: $i,X2: $i] : v1_membered(k4_xboole_0(k4_xboole_0(k4_xboole_0(k4_numbers,X0),X1),X2)),
inference(superposition,[status(thm)],[c_484,c_170808]) ).
tcf(c_179817,plain,
! [X0: $i,X1: $i] : v3_membered(k1_setfam_1(k2_tarski(X0,k4_xboole_0(k4_numbers,X1)))),
inference(superposition,[status(thm)],[c_48896,c_170817]) ).
tcf(c_179818,plain,
! [X0: $i,X1: $i] : v3_membered(k1_setfam_1(k2_tarski(k4_xboole_0(k4_numbers,X0),X1))),
inference(superposition,[status(thm)],[c_2532,c_170817]) ).
tcf(c_179824,plain,
! [X0: $i,X1: $i] : v3_membered(k4_xboole_0(k1_setfam_1(k2_tarski(k4_numbers,X0)),X1)),
inference(superposition,[status(thm)],[c_2532,c_170817]) ).
tcf(c_179825,plain,
! [X0: $i,X1: $i,X2: $i] : v3_membered(k4_xboole_0(k4_xboole_0(k4_xboole_0(k4_numbers,X0),X1),X2)),
inference(superposition,[status(thm)],[c_484,c_170817]) ).
tcf(c_179835,plain,
! [X0: $i,X1: $i] : v3_membered(k1_setfam_1(k2_tarski(X0,k4_xboole_0(k3_numbers,X1)))),
inference(superposition,[status(thm)],[c_48896,c_171003]) ).
tcf(c_179836,plain,
! [X0: $i,X1: $i] : v3_membered(k1_setfam_1(k2_tarski(k4_xboole_0(k3_numbers,X0),X1))),
inference(superposition,[status(thm)],[c_2532,c_171003]) ).
tcf(c_179842,plain,
! [X0: $i,X1: $i] : v3_membered(k4_xboole_0(k1_setfam_1(k2_tarski(k3_numbers,X0)),X1)),
inference(superposition,[status(thm)],[c_2532,c_171003]) ).
tcf(c_179843,plain,
! [X0: $i,X1: $i,X2: $i] : v3_membered(k4_xboole_0(k4_xboole_0(k4_xboole_0(k3_numbers,X0),X1),X2)),
inference(superposition,[status(thm)],[c_484,c_171003]) ).
tcf(c_179859,plain,
! [X0: $i,X1: $i] : v1_membered(k1_setfam_1(k2_tarski(X0,k4_xboole_0(k3_numbers,X1)))),
inference(superposition,[status(thm)],[c_48896,c_171478]) ).
tcf(c_179860,plain,
! [X0: $i,X1: $i] : v1_membered(k1_setfam_1(k2_tarski(k4_xboole_0(k3_numbers,X0),X1))),
inference(superposition,[status(thm)],[c_2532,c_171478]) ).
tcf(c_179866,plain,
! [X0: $i,X1: $i] : v1_membered(k4_xboole_0(k1_setfam_1(k2_tarski(k3_numbers,X0)),X1)),
inference(superposition,[status(thm)],[c_2532,c_171478]) ).
tcf(c_179867,plain,
! [X0: $i,X1: $i,X2: $i] : v1_membered(k4_xboole_0(k4_xboole_0(k4_xboole_0(k3_numbers,X0),X1),X2)),
inference(superposition,[status(thm)],[c_484,c_171478]) ).
tcf(c_179875,plain,
! [X0: $i,X1: $i] : v2_membered(k1_setfam_1(k2_tarski(X0,k4_xboole_0(k3_numbers,X1)))),
inference(superposition,[status(thm)],[c_48896,c_171487]) ).
tcf(c_179876,plain,
! [X0: $i,X1: $i] : v2_membered(k1_setfam_1(k2_tarski(k4_xboole_0(k3_numbers,X0),X1))),
inference(superposition,[status(thm)],[c_2532,c_171487]) ).
tcf(c_179882,plain,
! [X0: $i,X1: $i] : v2_membered(k4_xboole_0(k1_setfam_1(k2_tarski(k3_numbers,X0)),X1)),
inference(superposition,[status(thm)],[c_2532,c_171487]) ).
tcf(c_179883,plain,
! [X0: $i,X1: $i,X2: $i] : v2_membered(k4_xboole_0(k4_xboole_0(k4_xboole_0(k3_numbers,X0),X1),X2)),
inference(superposition,[status(thm)],[c_484,c_171487]) ).
tcf(c_179899,plain,
! [X0: $i,X1: $i] : v2_membered(k1_setfam_1(k2_tarski(X0,k4_xboole_0(k1_numbers,X1)))),
inference(superposition,[status(thm)],[c_48896,c_171822]) ).
tcf(c_179900,plain,
! [X0: $i,X1: $i] : v2_membered(k1_setfam_1(k2_tarski(k4_xboole_0(k1_numbers,X0),X1))),
inference(superposition,[status(thm)],[c_2532,c_171822]) ).
tcf(c_179906,plain,
! [X0: $i,X1: $i] : v2_membered(k4_xboole_0(k1_setfam_1(k2_tarski(k1_numbers,X0)),X1)),
inference(superposition,[status(thm)],[c_2532,c_171822]) ).
tcf(c_179907,plain,
! [X0: $i,X1: $i,X2: $i] : v2_membered(k4_xboole_0(k4_xboole_0(k4_xboole_0(k1_numbers,X0),X1),X2)),
inference(superposition,[status(thm)],[c_484,c_171822]) ).
tcf(c_179916,plain,
! [X0: $i,X1: $i] : v1_membered(k1_setfam_1(k2_tarski(X0,k4_xboole_0(k1_numbers,X1)))),
inference(superposition,[status(thm)],[c_48896,c_171851]) ).
tcf(c_179917,plain,
! [X0: $i,X1: $i] : v1_membered(k1_setfam_1(k2_tarski(k4_xboole_0(k1_numbers,X0),X1))),
inference(superposition,[status(thm)],[c_2532,c_171851]) ).
tcf(c_179923,plain,
! [X0: $i,X1: $i] : v1_membered(k4_xboole_0(k1_setfam_1(k2_tarski(k1_numbers,X0)),X1)),
inference(superposition,[status(thm)],[c_2532,c_171851]) ).
tcf(c_179924,plain,
! [X0: $i,X1: $i,X2: $i] : v1_membered(k4_xboole_0(k4_xboole_0(k4_xboole_0(k1_numbers,X0),X1),X2)),
inference(superposition,[status(thm)],[c_484,c_171851]) ).
tcf(c_179952,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : k4_xboole_0(k4_xboole_0(k1_setfam_1(k2_tarski(X0,X1)),X2),k1_setfam_1(k2_tarski(X3,X1))) = k4_xboole_0(k4_xboole_0(k1_setfam_1(k2_tarski(X0,X1)),X2),X3),
inference(superposition,[status(thm)],[c_52024,c_55176]) ).
tcf(c_179953,plain,
! [X0: $i,X1: $i,X2: $i] : k4_xboole_0(k1_zfmisc_1(k1_setfam_1(k2_tarski(X0,X1))),k1_setfam_1(k2_tarski(X2,k1_zfmisc_1(X1)))) = k4_xboole_0(k1_zfmisc_1(k1_setfam_1(k2_tarski(X0,X1))),X2),
inference(superposition,[status(thm)],[c_52026,c_55176]) ).
tcf(c_179954,plain,
! [X0: $i,X1: $i,X2: $i] : k4_xboole_0(k5_finsub_1(k1_setfam_1(k2_tarski(X0,X1))),k1_setfam_1(k2_tarski(X2,k5_finsub_1(X1)))) = k4_xboole_0(k5_finsub_1(k1_setfam_1(k2_tarski(X0,X1))),X2),
inference(superposition,[status(thm)],[c_52028,c_55176]) ).
tcf(c_179955,plain,
! [X0: $i] : k4_xboole_0(np__0,k1_setfam_1(k2_tarski(X0,np__0))) = k4_xboole_0(np__0,X0),
inference(superposition,[status(thm)],[c_160609,c_55176]) ).
tcf(c_179956,plain,
! [X0: $i,X1: $i] : k4_xboole_0(np__0,k1_setfam_1(k2_tarski(X0,X1))) = k4_xboole_0(np__0,X0),
inference(superposition,[status(thm)],[c_160608,c_55176]) ).
tcf(c_179958,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X1 )
| ( k4_xboole_0(k1_setfam_1(k4_xboole_0(k2_tarski(X0,X1),k2_tarski(X1,X1))),k1_setfam_1(k2_tarski(X2,X0))) = k4_xboole_0(k1_setfam_1(k4_xboole_0(k2_tarski(X0,X1),k2_tarski(X1,X1))),X2) ) ),
inference(superposition,[status(thm)],[c_54771,c_55176]) ).
tcf(c_179960,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = np__0 )
| ( k4_xboole_0(k1_setfam_1(k2_relat_1(sK46(X0,X1))),k1_setfam_1(k2_tarski(X2,X1))) = k4_xboole_0(k1_setfam_1(k2_relat_1(sK46(X0,X1))),X2) ) ),
inference(superposition,[status(thm)],[c_51182,c_55176]) ).
tcf(c_179961,plain,
! [X0: $i] : k4_xboole_0(k1_setfam_1(k1_zfmisc_1(np__0)),k1_setfam_1(k2_tarski(X0,np__0))) = k4_xboole_0(k1_setfam_1(k1_zfmisc_1(np__0)),X0),
inference(superposition,[status(thm)],[c_47417,c_55176]) ).
tcf(c_179962,plain,
! [X0: $i,X1: $i] : k4_xboole_0(k1_setfam_1(k1_zfmisc_1(k2_tarski(X0,X0))),k1_setfam_1(k2_tarski(X1,k2_tarski(X0,X0)))) = k4_xboole_0(k1_setfam_1(k1_zfmisc_1(k2_tarski(X0,X0))),X1),
inference(superposition,[status(thm)],[c_50679,c_55176]) ).
tcf(c_179963,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : k4_xboole_0(k1_setfam_1(k2_tarski(X0,X1)),k4_xboole_0(k1_setfam_1(k2_tarski(X2,X1)),X3)) = k4_xboole_0(k1_setfam_1(k2_tarski(X0,X1)),k4_xboole_0(X2,X3)),
inference(superposition,[status(thm)],[c_52024,c_55176]) ).
tcf(c_179964,plain,
! [X0: $i,X1: $i,X2: $i] : k4_xboole_0(k1_setfam_1(k2_tarski(X0,k1_zfmisc_1(X1))),k1_zfmisc_1(k1_setfam_1(k2_tarski(X2,X1)))) = k4_xboole_0(k1_setfam_1(k2_tarski(X0,k1_zfmisc_1(X1))),k1_zfmisc_1(X2)),
inference(superposition,[status(thm)],[c_52026,c_55176]) ).
tcf(c_179965,plain,
! [X0: $i,X1: $i,X2: $i] : k4_xboole_0(k1_setfam_1(k2_tarski(X0,k5_finsub_1(X1))),k5_finsub_1(k1_setfam_1(k2_tarski(X2,X1)))) = k4_xboole_0(k1_setfam_1(k2_tarski(X0,k5_finsub_1(X1))),k5_finsub_1(X2)),
inference(superposition,[status(thm)],[c_52028,c_55176]) ).
tcf(c_179966,plain,
! [X0: $i,X1: $i] : k4_xboole_0(k1_setfam_1(k2_tarski(X0,np__0)),X1) = k4_xboole_0(k1_setfam_1(k2_tarski(X0,np__0)),np__0),
inference(superposition,[status(thm)],[c_160609,c_55176]) ).
tcf(c_179968,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X2 )
| ( k4_xboole_0(k1_setfam_1(k2_tarski(X0,X1)),k1_setfam_1(k4_xboole_0(k2_tarski(X1,X2),k2_tarski(X2,X2)))) = k4_xboole_0(k1_setfam_1(k2_tarski(X0,X1)),X1) ) ),
inference(superposition,[status(thm)],[c_54771,c_55176]) ).
tcf(c_179969,plain,
! [X0: $i,X1: $i,X2: $i] : k4_xboole_0(k1_setfam_1(k2_tarski(X0,X1)),k1_setfam_1(k2_tarski(X1,X2))) = k4_xboole_0(k1_setfam_1(k2_tarski(X0,X1)),X2),
inference(superposition,[status(thm)],[c_2707,c_55176]) ).
tcf(c_179970,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2 = np__0 )
| ( k4_xboole_0(k1_setfam_1(k2_tarski(X0,X1)),k1_setfam_1(k2_relat_1(sK46(X2,X1)))) = k4_xboole_0(k1_setfam_1(k2_tarski(X0,X1)),X1) ) ),
inference(superposition,[status(thm)],[c_51182,c_55176]) ).
tcf(c_179971,plain,
! [X0: $i] : k4_xboole_0(k1_setfam_1(k2_tarski(X0,np__0)),k1_setfam_1(k1_zfmisc_1(np__0))) = k4_xboole_0(k1_setfam_1(k2_tarski(X0,np__0)),np__0),
inference(superposition,[status(thm)],[c_47417,c_55176]) ).
tcf(c_179972,plain,
! [X0: $i,X1: $i] : k4_xboole_0(k1_setfam_1(k2_tarski(X0,k2_tarski(X1,X1))),k1_setfam_1(k1_zfmisc_1(k2_tarski(X1,X1)))) = k4_xboole_0(k1_setfam_1(k2_tarski(X0,k2_tarski(X1,X1))),np__0),
inference(superposition,[status(thm)],[c_50679,c_55176]) ).
tcf(c_179973,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : k3_tarski(k2_tarski(k4_xboole_0(k1_setfam_1(k2_tarski(X0,X1)),X2),k4_xboole_0(k1_setfam_1(k2_tarski(X0,X1)),X3))) = k4_xboole_0(k1_setfam_1(k2_tarski(X0,X1)),k1_setfam_1(k2_tarski(X3,k1_setfam_1(k2_tarski(X2,X1))))),
inference(superposition,[status(thm)],[c_55176,c_52809]) ).
tcf(c_179974,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : k3_tarski(k2_tarski(k4_xboole_0(k1_setfam_1(k2_tarski(X0,X1)),X2),k1_setfam_1(k2_tarski(X3,k1_setfam_1(k2_tarski(X0,X1)))))) = k4_xboole_0(k1_setfam_1(k2_tarski(X0,X1)),k4_xboole_0(k1_setfam_1(k2_tarski(X2,X1)),X3)),
inference(superposition,[status(thm)],[c_55176,c_52807]) ).
tcf(c_179975,plain,
! [X0: $i,X1: $i,X2: $i] : ~ r2_hidden(k1_setfam_1(k2_tarski(X0,X1)),k4_xboole_0(k1_setfam_1(k2_tarski(X0,X1)),X2)),
inference(superposition,[status(thm)],[c_55176,c_167156]) ).
tcf(c_179976,plain,
! [X0: $i,X1: $i,X2: $i] : k4_xboole_0(k1_setfam_1(k2_tarski(X0,X1)),k4_xboole_0(k1_setfam_1(k2_tarski(X0,X1)),X2)) = k1_setfam_1(k2_tarski(k1_setfam_1(k2_tarski(X2,X1)),k1_setfam_1(k2_tarski(X0,X1)))),
inference(superposition,[status(thm)],[c_55176,c_48896]) ).
tcf(c_179977,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : r1_tarski(k4_xboole_0(k4_xboole_0(k1_setfam_1(k2_tarski(X0,X1)),X2),X3),k1_setfam_1(k2_tarski(X0,X1))),
inference(superposition,[status(thm)],[c_55176,c_159540]) ).
tcf(c_179978,plain,
! [X0: $i,X1: $i,X2: $i] : r1_tarski(k4_xboole_0(k1_setfam_1(k2_tarski(X0,X1)),X2),k5_xboole_0(k1_setfam_1(k2_tarski(X0,X1)),k1_setfam_1(k2_tarski(X2,X1)))),
inference(superposition,[status(thm)],[c_55176,c_2608]) ).
tcf(c_179979,plain,
! [X0: $i,X1: $i,X2: $i] : r1_xboole_0(k4_xboole_0(k1_setfam_1(k2_tarski(X0,X1)),X2),k4_xboole_0(k1_setfam_1(k2_tarski(X2,X1)),k1_setfam_1(k2_tarski(X0,X1)))),
inference(superposition,[status(thm)],[c_55176,c_2447]) ).
tcf(c_179980,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_relat_1(k4_xboole_0(k1_setfam_1(k2_tarski(X0,X1)),X2))
| ~ v1_relat_1(k1_setfam_1(k2_tarski(X0,X1))) ),
inference(superposition,[status(thm)],[c_55176,c_1711]) ).
tcf(c_179981,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_finset_1(k4_xboole_0(k1_setfam_1(k2_tarski(X0,X1)),X2))
| ~ v1_finset_1(k1_setfam_1(k2_tarski(X0,X1))) ),
inference(superposition,[status(thm)],[c_55176,c_1691]) ).
tcf(c_179982,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_membered(k4_xboole_0(k1_setfam_1(k2_tarski(X0,X1)),X2))
| ~ v1_membered(k1_setfam_1(k2_tarski(X0,X1))) ),
inference(superposition,[status(thm)],[c_55176,c_1579]) ).
tcf(c_179983,plain,
! [X0: $i,X1: $i,X2: $i] :
( v2_membered(k4_xboole_0(k1_setfam_1(k2_tarski(X0,X1)),X2))
| ~ v2_membered(k1_setfam_1(k2_tarski(X0,X1))) ),
inference(superposition,[status(thm)],[c_55176,c_1537]) ).
tcf(c_179984,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_membered(k4_xboole_0(k1_setfam_1(k2_tarski(X0,X1)),X2))
| ~ v2_membered(k1_setfam_1(k2_tarski(X0,X1))) ),
inference(superposition,[status(thm)],[c_55176,c_1536]) ).
tcf(c_179985,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_membered(k4_xboole_0(k1_setfam_1(k2_tarski(X0,X1)),X2))
| ~ v3_membered(k1_setfam_1(k2_tarski(X0,X1))) ),
inference(superposition,[status(thm)],[c_55176,c_1491]) ).
tcf(c_179986,plain,
! [X0: $i,X1: $i,X2: $i] :
( v2_membered(k4_xboole_0(k1_setfam_1(k2_tarski(X0,X1)),X2))
| ~ v3_membered(k1_setfam_1(k2_tarski(X0,X1))) ),
inference(superposition,[status(thm)],[c_55176,c_1490]) ).
tcf(c_179987,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_membered(k4_xboole_0(k1_setfam_1(k2_tarski(X0,X1)),X2))
| ~ v3_membered(k1_setfam_1(k2_tarski(X0,X1))) ),
inference(superposition,[status(thm)],[c_55176,c_1489]) ).
tcf(c_179988,plain,
! [X0: $i,X1: $i,X2: $i] :
( v4_membered(k4_xboole_0(k1_setfam_1(k2_tarski(X0,X1)),X2))
| ~ v4_membered(k1_setfam_1(k2_tarski(X0,X1))) ),
inference(superposition,[status(thm)],[c_55176,c_1443]) ).
tcf(c_179989,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_membered(k4_xboole_0(k1_setfam_1(k2_tarski(X0,X1)),X2))
| ~ v4_membered(k1_setfam_1(k2_tarski(X0,X1))) ),
inference(superposition,[status(thm)],[c_55176,c_1442]) ).
tcf(c_179990,plain,
! [X0: $i,X1: $i,X2: $i] :
( v2_membered(k4_xboole_0(k1_setfam_1(k2_tarski(X0,X1)),X2))
| ~ v4_membered(k1_setfam_1(k2_tarski(X0,X1))) ),
inference(superposition,[status(thm)],[c_55176,c_1441]) ).
tcf(c_179991,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_membered(k4_xboole_0(k1_setfam_1(k2_tarski(X0,X1)),X2))
| ~ v4_membered(k1_setfam_1(k2_tarski(X0,X1))) ),
inference(superposition,[status(thm)],[c_55176,c_1440]) ).
tcf(c_179992,plain,
! [X0: $i,X1: $i,X2: $i] :
( v5_membered(k4_xboole_0(k1_setfam_1(k2_tarski(X0,X1)),X2))
| ~ v5_membered(k1_setfam_1(k2_tarski(X0,X1))) ),
inference(superposition,[status(thm)],[c_55176,c_1353]) ).
tcf(c_179993,plain,
! [X0: $i,X1: $i,X2: $i] :
( v4_membered(k4_xboole_0(k1_setfam_1(k2_tarski(X0,X1)),X2))
| ~ v5_membered(k1_setfam_1(k2_tarski(X0,X1))) ),
inference(superposition,[status(thm)],[c_55176,c_1352]) ).
tcf(c_179994,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_membered(k4_xboole_0(k1_setfam_1(k2_tarski(X0,X1)),X2))
| ~ v5_membered(k1_setfam_1(k2_tarski(X0,X1))) ),
inference(superposition,[status(thm)],[c_55176,c_1351]) ).
tcf(c_179995,plain,
! [X0: $i,X1: $i,X2: $i] :
( v2_membered(k4_xboole_0(k1_setfam_1(k2_tarski(X0,X1)),X2))
| ~ v5_membered(k1_setfam_1(k2_tarski(X0,X1))) ),
inference(superposition,[status(thm)],[c_55176,c_1350]) ).
tcf(c_179996,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_membered(k4_xboole_0(k1_setfam_1(k2_tarski(X0,X1)),X2))
| ~ v5_membered(k1_setfam_1(k2_tarski(X0,X1))) ),
inference(superposition,[status(thm)],[c_55176,c_1349]) ).
tcf(c_179997,plain,
! [X0: $i,X1: $i,X2: $i] : k3_tarski(k2_tarski(k4_xboole_0(k1_setfam_1(k2_tarski(X0,X1)),X2),k4_xboole_0(k1_setfam_1(k2_tarski(X2,X1)),k1_setfam_1(k2_tarski(X0,X1))))) = k5_xboole_0(k1_setfam_1(k2_tarski(X0,X1)),k1_setfam_1(k2_tarski(X2,X1))),
inference(superposition,[status(thm)],[c_55176,c_2624]) ).
tcf(c_179998,plain,
! [X0: $i,X1: $i,X2: $i] : k4_xboole_0(k1_setfam_1(k2_tarski(X0,X1)),k4_xboole_0(k1_setfam_1(k2_tarski(X0,X1)),X2)) = k1_setfam_1(k2_tarski(k1_setfam_1(k2_tarski(X0,X1)),k1_setfam_1(k2_tarski(X2,X1)))),
inference(superposition,[status(thm)],[c_55176,c_2532]) ).
tcf(c_180000,plain,
! [X0: $i,X1: $i,X2: $i] : r1_xboole_0(k4_xboole_0(k1_setfam_1(k2_tarski(X0,X1)),X2),k1_setfam_1(k2_tarski(X2,X1))),
inference(superposition,[status(thm)],[c_55176,c_2450]) ).
tcf(c_180001,plain,
! [X0: $i,X1: $i,X2: $i] : r1_tarski(k4_xboole_0(k1_setfam_1(k2_tarski(X0,X1)),X2),k1_setfam_1(k2_tarski(X0,X1))),
inference(superposition,[status(thm)],[c_55176,c_1734]) ).
tcf(c_180002,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : k3_tarski(k2_tarski(k4_xboole_0(k1_setfam_1(k2_tarski(X0,X1)),X2),k4_xboole_0(X3,k1_setfam_1(k2_tarski(X2,X1))))) = k4_xboole_0(k3_tarski(k2_tarski(k1_setfam_1(k2_tarski(X0,X1)),X3)),k1_setfam_1(k2_tarski(X2,X1))),
inference(superposition,[status(thm)],[c_55176,c_483]) ).
tcf(c_180003,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : k3_tarski(k2_tarski(k2_zfmisc_1(k4_xboole_0(k1_setfam_1(k2_tarski(X0,X1)),X2),X3),k2_zfmisc_1(k1_setfam_1(k2_tarski(X0,X1)),k4_xboole_0(X3,X4)))) = k4_xboole_0(k2_zfmisc_1(k1_setfam_1(k2_tarski(X0,X1)),X3),k2_zfmisc_1(k1_setfam_1(k2_tarski(X2,X1)),X4)),
inference(superposition,[status(thm)],[c_55176,c_471]) ).
tcf(c_180004,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r2_hidden(X0,k1_setfam_1(k2_tarski(X1,X2)))
| ~ r2_hidden(X0,k4_xboole_0(k1_setfam_1(k2_tarski(X1,X2)),X3)) ),
inference(superposition,[status(thm)],[c_55176,c_1745]) ).
tcf(c_180005,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_tarski(k4_xboole_0(k1_setfam_1(k2_tarski(X0,X1)),X3),X2)
| ~ r1_tarski(k1_setfam_1(k2_tarski(X0,X1)),X2) ),
inference(superposition,[status(thm)],[c_55176,c_1730]) ).
tcf(c_180006,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : k3_tarski(k2_tarski(k4_xboole_0(k1_setfam_1(k2_tarski(X0,X1)),X2),k4_xboole_0(k1_setfam_1(k2_tarski(X0,X1)),X3))) = k4_xboole_0(k1_setfam_1(k2_tarski(X0,X1)),k1_setfam_1(k2_tarski(k1_setfam_1(k2_tarski(X3,X1)),X2))),
inference(superposition,[status(thm)],[c_55176,c_52809]) ).
tcf(c_180007,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : k4_xboole_0(k1_setfam_1(k2_tarski(k1_setfam_1(k2_tarski(X0,X1)),X2)),k1_setfam_1(k2_tarski(X3,X1))) = k1_setfam_1(k2_tarski(k4_xboole_0(k1_setfam_1(k2_tarski(X0,X1)),X3),X2)),
inference(superposition,[status(thm)],[c_55176,c_52024]) ).
tcf(c_180008,plain,
! [X0: $i,X1: $i,X2: $i] : r1_xboole_0(k1_setfam_1(k2_tarski(X0,X1)),k4_xboole_0(k1_setfam_1(k2_tarski(X2,X1)),X0)),
inference(superposition,[status(thm)],[c_55176,c_164220]) ).
tcf(c_180009,plain,
! [X0: $i,X1: $i,X2: $i] : r1_xboole_0(k4_xboole_0(k1_setfam_1(k2_tarski(X0,X1)),k1_setfam_1(k2_tarski(X2,X1))),k4_xboole_0(k1_setfam_1(k2_tarski(X2,X1)),X0)),
inference(superposition,[status(thm)],[c_55176,c_2447]) ).
tcf(c_180010,plain,
! [X0: $i,X1: $i,X2: $i] : k3_tarski(k2_tarski(k4_xboole_0(k1_setfam_1(k2_tarski(X0,X1)),k1_setfam_1(k2_tarski(X2,X1))),k4_xboole_0(k1_setfam_1(k2_tarski(X2,X1)),X0))) = k5_xboole_0(k1_setfam_1(k2_tarski(X0,X1)),k1_setfam_1(k2_tarski(X2,X1))),
inference(superposition,[status(thm)],[c_55176,c_2624]) ).
tcf(c_180011,plain,
! [X0: $i,X1: $i,X2: $i] : k5_xboole_0(k1_setfam_1(k2_tarski(X0,X1)),k4_xboole_0(k1_setfam_1(k2_tarski(X2,X1)),X0)) = k3_tarski(k2_tarski(k1_setfam_1(k2_tarski(X0,X1)),k1_setfam_1(k2_tarski(X2,X1)))),
inference(superposition,[status(thm)],[c_55176,c_2606]) ).
tcf(c_180012,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k1_setfam_1(k2_tarski(X0,X1)) = k1_setfam_1(k2_tarski(X2,X1)) )
| ( k4_xboole_0(k1_setfam_1(k2_tarski(X0,X1)),k1_setfam_1(k2_tarski(X2,X1))) != k4_xboole_0(k1_setfam_1(k2_tarski(X2,X1)),X0) ) ),
inference(superposition,[status(thm)],[c_55176,c_1738]) ).
tcf(c_180013,plain,
! [X0: $i,X1: $i,X2: $i] : k3_tarski(k2_tarski(k1_setfam_1(k2_tarski(X0,X1)),k4_xboole_0(k1_setfam_1(k2_tarski(X2,X1)),X0))) = k3_tarski(k2_tarski(k1_setfam_1(k2_tarski(X0,X1)),k1_setfam_1(k2_tarski(X2,X1)))),
inference(superposition,[status(thm)],[c_55176,c_486]) ).
tcf(c_180014,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : k3_tarski(k2_tarski(k2_zfmisc_1(k4_xboole_0(X0,X1),k1_setfam_1(k2_tarski(X2,X3))),k2_zfmisc_1(X0,k4_xboole_0(k1_setfam_1(k2_tarski(X2,X3)),X4)))) = k4_xboole_0(k2_zfmisc_1(X0,k1_setfam_1(k2_tarski(X2,X3))),k2_zfmisc_1(X1,k1_setfam_1(k2_tarski(X4,X3)))),
inference(superposition,[status(thm)],[c_55176,c_471]) ).
tcf(c_180015,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : k3_tarski(k2_tarski(k4_xboole_0(X0,k1_setfam_1(k2_tarski(X1,X2))),k4_xboole_0(k1_setfam_1(k2_tarski(X3,X2)),X1))) = k4_xboole_0(k3_tarski(k2_tarski(X0,k1_setfam_1(k2_tarski(X3,X2)))),k1_setfam_1(k2_tarski(X1,X2))),
inference(superposition,[status(thm)],[c_55176,c_483]) ).
tcf(c_180016,plain,
! [X0: $i,X1: $i] : k4_xboole_0(k1_setfam_1(k2_tarski(X0,X1)),X0) = np__0,
inference(superposition,[status(thm)],[c_55176,c_45740]) ).
tcf(c_180017,plain,
! [X0: $i,X1: $i] : k4_xboole_0(np__0,k1_setfam_1(k2_tarski(X0,X1))) = np__0,
inference(light_normalisation,[status(thm)],[c_179956,c_1739,c_173696]) ).
tcf(c_180060,plain,
! [X0: $i,X1: $i,X2: $i] : r1_xboole_0(k4_xboole_0(k1_setfam_1(k2_tarski(X0,X1)),X2),k4_xboole_0(k1_setfam_1(k2_tarski(X2,X1)),X0)),
inference(light_normalisation,[status(thm)],[c_180009,c_55176]) ).
tcf(c_180062,plain,
! [X0: $i,X1: $i] : k4_xboole_0(np__0,k1_setfam_1(k2_tarski(X0,k2_tarski(X1,X1)))) = k4_xboole_0(np__0,X0),
inference(light_normalisation,[status(thm)],[c_179962,c_170472]) ).
tcf(c_180063,plain,
! [X0: $i,X1: $i] : k4_xboole_0(np__0,k1_setfam_1(k2_tarski(X0,k2_tarski(X1,X1)))) = np__0,
inference(light_normalisation,[status(thm)],[c_180062,c_1739]) ).
tcf(c_180066,plain,
! [X0: $i,X1: $i,X2: $i] : k5_xboole_0(k1_setfam_1(k2_tarski(X0,X1)),k4_xboole_0(k1_setfam_1(k2_tarski(X2,X1)),X0)) = k4_xboole_0(X1,k4_xboole_0(k4_xboole_0(X1,X0),X2)),
inference(light_normalisation,[status(thm)],[c_180011,c_56414]) ).
tcf(c_180067,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : k4_xboole_0(k1_setfam_1(k2_tarski(X0,k1_setfam_1(k2_tarski(X1,X2)))),k1_setfam_1(k2_tarski(X3,X0))) = k1_setfam_1(k2_tarski(k4_xboole_0(k1_setfam_1(k2_tarski(X1,X0)),X3),X2)),
inference(light_normalisation,[status(thm)],[c_180007,c_172209]) ).
tcf(c_180070,plain,
! [X0: $i,X1: $i,X2: $i] : k3_tarski(k2_tarski(k1_setfam_1(k2_tarski(X0,X1)),k4_xboole_0(k1_setfam_1(k2_tarski(X2,X1)),X0))) = k4_xboole_0(X1,k4_xboole_0(k4_xboole_0(X1,X0),X2)),
inference(light_normalisation,[status(thm)],[c_180013,c_56414]) ).
tcf(c_180073,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k1_setfam_1(k2_tarski(X0,X1)) = k1_setfam_1(k2_tarski(X2,X1)) )
| ( k4_xboole_0(k1_setfam_1(k2_tarski(X0,X1)),X2) != k4_xboole_0(k1_setfam_1(k2_tarski(X2,X1)),X0) ) ),
inference(light_normalisation,[status(thm)],[c_180012,c_55176]) ).
tcf(c_180076,plain,
! [X0: $i,X1: $i,X2: $i] : k3_tarski(k2_tarski(k4_xboole_0(k1_setfam_1(k2_tarski(X0,X1)),X2),k4_xboole_0(k1_setfam_1(k2_tarski(X2,X1)),X0))) = k5_xboole_0(k1_setfam_1(k2_tarski(X0,X1)),k1_setfam_1(k2_tarski(X2,X1))),
inference(light_normalisation,[status(thm)],[c_180010,c_55176]) ).
tcf(c_180190,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| v1_xcmplx_0(sK317(X0))
| ~ v1_realset1(X0)
| ~ v1_membered(X0) ),
inference(superposition,[status(thm)],[c_1991,c_1586]) ).
tcf(c_180191,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| v1_xreal_0(sK317(X0))
| ~ v1_realset1(X0)
| ~ v2_membered(X0) ),
inference(superposition,[status(thm)],[c_1991,c_1551]) ).
tcf(c_180192,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| v1_xcmplx_0(sK317(X0))
| ~ v1_realset1(X0)
| ~ v2_membered(X0) ),
inference(superposition,[status(thm)],[c_1991,c_1550]) ).
tcf(c_180194,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| r2_hidden(sK317(X0),X0)
| ~ v1_realset1(X0) ),
inference(superposition,[status(thm)],[c_1991,c_588]) ).
tcf(c_180195,plain,
! [X0: $i] :
( v1_xboole_0(k1_zfmisc_1(X0))
| r1_tarski(sK317(k1_zfmisc_1(X0)),X0)
| ~ v1_realset1(k1_zfmisc_1(X0)) ),
inference(superposition,[status(thm)],[c_1991,c_541]) ).
tcf(c_180196,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| v1_relat_1(sK317(k1_zfmisc_1(k2_zfmisc_1(X0,X1))))
| ~ v1_realset1(k1_zfmisc_1(k2_zfmisc_1(X0,X1))) ),
inference(superposition,[status(thm)],[c_1991,c_612]) ).
tcf(c_180197,plain,
( v1_xboole_0(k1_zfmisc_1(k5_numbers))
| v5_membered(sK317(k1_zfmisc_1(k5_numbers)))
| ~ v1_realset1(k1_zfmisc_1(k5_numbers)) ),
inference(superposition,[status(thm)],[c_1991,c_1404]) ).
tcf(c_180198,plain,
( v1_xboole_0(k1_zfmisc_1(k5_numbers))
| v4_membered(sK317(k1_zfmisc_1(k5_numbers)))
| ~ v1_realset1(k1_zfmisc_1(k5_numbers)) ),
inference(superposition,[status(thm)],[c_1991,c_1403]) ).
tcf(c_180199,plain,
( v1_xboole_0(k1_zfmisc_1(k5_numbers))
| v3_membered(sK317(k1_zfmisc_1(k5_numbers)))
| ~ v1_realset1(k1_zfmisc_1(k5_numbers)) ),
inference(superposition,[status(thm)],[c_1991,c_1402]) ).
tcf(c_180200,plain,
( v1_xboole_0(k1_zfmisc_1(k5_numbers))
| v2_membered(sK317(k1_zfmisc_1(k5_numbers)))
| ~ v1_realset1(k1_zfmisc_1(k5_numbers)) ),
inference(superposition,[status(thm)],[c_1991,c_1401]) ).
tcf(c_180201,plain,
( v1_xboole_0(k1_zfmisc_1(k5_numbers))
| v1_membered(sK317(k1_zfmisc_1(k5_numbers)))
| ~ v1_realset1(k1_zfmisc_1(k5_numbers)) ),
inference(superposition,[status(thm)],[c_1991,c_1400]) ).
tcf(c_180202,plain,
( v1_xboole_0(k1_zfmisc_1(k4_numbers))
| v4_membered(sK317(k1_zfmisc_1(k4_numbers)))
| ~ v1_realset1(k1_zfmisc_1(k4_numbers)) ),
inference(superposition,[status(thm)],[c_1991,c_1480]) ).
tcf(c_180203,plain,
( v1_xboole_0(k1_zfmisc_1(k4_numbers))
| v3_membered(sK317(k1_zfmisc_1(k4_numbers)))
| ~ v1_realset1(k1_zfmisc_1(k4_numbers)) ),
inference(superposition,[status(thm)],[c_1991,c_1479]) ).
tcf(c_180204,plain,
( v1_xboole_0(k1_zfmisc_1(k4_numbers))
| v2_membered(sK317(k1_zfmisc_1(k4_numbers)))
| ~ v1_realset1(k1_zfmisc_1(k4_numbers)) ),
inference(superposition,[status(thm)],[c_1991,c_1478]) ).
tcf(c_180205,plain,
( v1_xboole_0(k1_zfmisc_1(k4_numbers))
| v1_membered(sK317(k1_zfmisc_1(k4_numbers)))
| ~ v1_realset1(k1_zfmisc_1(k4_numbers)) ),
inference(superposition,[status(thm)],[c_1991,c_1477]) ).
tcf(c_180206,plain,
( v1_xboole_0(k1_zfmisc_1(k3_numbers))
| v3_membered(sK317(k1_zfmisc_1(k3_numbers)))
| ~ v1_realset1(k1_zfmisc_1(k3_numbers)) ),
inference(superposition,[status(thm)],[c_1991,c_1510]) ).
tcf(c_180207,plain,
( v1_xboole_0(k1_zfmisc_1(k3_numbers))
| v2_membered(sK317(k1_zfmisc_1(k3_numbers)))
| ~ v1_realset1(k1_zfmisc_1(k3_numbers)) ),
inference(superposition,[status(thm)],[c_1991,c_1509]) ).
tcf(c_180208,plain,
( v1_xboole_0(k1_zfmisc_1(k3_numbers))
| v1_membered(sK317(k1_zfmisc_1(k3_numbers)))
| ~ v1_realset1(k1_zfmisc_1(k3_numbers)) ),
inference(superposition,[status(thm)],[c_1991,c_1508]) ).
tcf(c_180209,plain,
( v1_xboole_0(k1_zfmisc_1(k1_numbers))
| v2_membered(sK317(k1_zfmisc_1(k1_numbers)))
| ~ v1_realset1(k1_zfmisc_1(k1_numbers)) ),
inference(superposition,[status(thm)],[c_1991,c_1556]) ).
tcf(c_180210,plain,
( v1_xboole_0(k1_zfmisc_1(k1_numbers))
| v1_membered(sK317(k1_zfmisc_1(k1_numbers)))
| ~ v1_realset1(k1_zfmisc_1(k1_numbers)) ),
inference(superposition,[status(thm)],[c_1991,c_1555]) ).
tcf(c_180211,plain,
! [X0: $i] :
( v1_xboole_0(k5_finsub_1(X0))
| v1_finset_1(sK317(k5_finsub_1(X0)))
| ~ v1_realset1(k5_finsub_1(X0)) ),
inference(superposition,[status(thm)],[c_1991,c_1655]) ).
tcf(c_180212,plain,
( v1_xboole_0(k4_numbers)
| v1_int_1(sK317(k4_numbers))
| ~ v1_realset1(k4_numbers) ),
inference(superposition,[status(thm)],[c_1991,c_2724]) ).
tcf(c_180213,plain,
( v1_xboole_0(k1_zfmisc_1(k2_numbers))
| v1_membered(sK317(k1_zfmisc_1(k2_numbers)))
| ~ v1_realset1(k1_zfmisc_1(k2_numbers)) ),
inference(superposition,[status(thm)],[c_1991,c_3643]) ).
tcf(c_180214,plain,
( v1_int_1(sK317(k4_numbers))
| ~ v1_realset1(k4_numbers) ),
inference(forward_subsumption_resolution,[status(thm)],[c_180212,c_2733]) ).
tcf(c_180220,plain,
( v1_membered(sK317(k1_zfmisc_1(k2_numbers)))
| ~ v1_realset1(k1_zfmisc_1(k2_numbers)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_180213,c_595]) ).
tcf(c_180226,plain,
( v1_membered(sK317(k1_zfmisc_1(k1_numbers)))
| ~ v1_realset1(k1_zfmisc_1(k1_numbers)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_180210,c_595]) ).
tcf(c_180229,plain,
( v2_membered(sK317(k1_zfmisc_1(k1_numbers)))
| ~ v1_realset1(k1_zfmisc_1(k1_numbers)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_180209,c_595]) ).
tcf(c_180232,plain,
( v1_membered(sK317(k1_zfmisc_1(k3_numbers)))
| ~ v1_realset1(k1_zfmisc_1(k3_numbers)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_180208,c_595]) ).
tcf(c_180235,plain,
( v2_membered(sK317(k1_zfmisc_1(k3_numbers)))
| ~ v1_realset1(k1_zfmisc_1(k3_numbers)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_180207,c_595]) ).
tcf(c_180238,plain,
( v3_membered(sK317(k1_zfmisc_1(k3_numbers)))
| ~ v1_realset1(k1_zfmisc_1(k3_numbers)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_180206,c_595]) ).
tcf(c_180241,plain,
( v1_membered(sK317(k1_zfmisc_1(k4_numbers)))
| ~ v1_realset1(k1_zfmisc_1(k4_numbers)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_180205,c_595]) ).
tcf(c_180244,plain,
( v2_membered(sK317(k1_zfmisc_1(k4_numbers)))
| ~ v1_realset1(k1_zfmisc_1(k4_numbers)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_180204,c_595]) ).
tcf(c_180247,plain,
( v3_membered(sK317(k1_zfmisc_1(k4_numbers)))
| ~ v1_realset1(k1_zfmisc_1(k4_numbers)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_180203,c_595]) ).
tcf(c_180250,plain,
( v4_membered(sK317(k1_zfmisc_1(k4_numbers)))
| ~ v1_realset1(k1_zfmisc_1(k4_numbers)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_180202,c_595]) ).
tcf(c_180253,plain,
( v1_membered(sK317(k1_zfmisc_1(k5_numbers)))
| ~ v1_realset1(k1_zfmisc_1(k5_numbers)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_180201,c_595]) ).
tcf(c_180256,plain,
( v2_membered(sK317(k1_zfmisc_1(k5_numbers)))
| ~ v1_realset1(k1_zfmisc_1(k5_numbers)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_180200,c_595]) ).
tcf(c_180259,plain,
( v3_membered(sK317(k1_zfmisc_1(k5_numbers)))
| ~ v1_realset1(k1_zfmisc_1(k5_numbers)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_180199,c_595]) ).
tcf(c_180262,plain,
( v4_membered(sK317(k1_zfmisc_1(k5_numbers)))
| ~ v1_realset1(k1_zfmisc_1(k5_numbers)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_180198,c_595]) ).
tcf(c_180265,plain,
( v5_membered(sK317(k1_zfmisc_1(k5_numbers)))
| ~ v1_realset1(k1_zfmisc_1(k5_numbers)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_180197,c_595]) ).
tcf(c_180280,plain,
! [X0: $i] :
( r1_tarski(sK317(k1_zfmisc_1(X0)),X0)
| ~ v1_realset1(k1_zfmisc_1(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_180195,c_595]) ).
tcf(c_180283,plain,
! [X0: $i,X1: $i] :
( v1_relat_1(sK317(k1_zfmisc_1(k2_zfmisc_1(X0,X1))))
| ~ v1_realset1(k1_zfmisc_1(k2_zfmisc_1(X0,X1))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_180196,c_595]) ).
tcf(c_180319,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| v1_xcmplx_0(sK318(X0))
| ~ v1_realset1(X0)
| ~ v1_membered(X0) ),
inference(superposition,[status(thm)],[c_1993,c_1586]) ).
tcf(c_180320,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| v1_xreal_0(sK318(X0))
| ~ v1_realset1(X0)
| ~ v2_membered(X0) ),
inference(superposition,[status(thm)],[c_1993,c_1551]) ).
tcf(c_180321,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| v1_xcmplx_0(sK318(X0))
| ~ v1_realset1(X0)
| ~ v2_membered(X0) ),
inference(superposition,[status(thm)],[c_1993,c_1550]) ).
tcf(c_180323,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| r2_hidden(sK318(X0),X0)
| ~ v1_realset1(X0) ),
inference(superposition,[status(thm)],[c_1993,c_588]) ).
tcf(c_180324,plain,
! [X0: $i] :
( v1_xboole_0(k1_zfmisc_1(X0))
| r1_tarski(sK318(k1_zfmisc_1(X0)),X0)
| ~ v1_realset1(k1_zfmisc_1(X0)) ),
inference(superposition,[status(thm)],[c_1993,c_541]) ).
tcf(c_180325,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| v1_relat_1(sK318(k1_zfmisc_1(k2_zfmisc_1(X0,X1))))
| ~ v1_realset1(k1_zfmisc_1(k2_zfmisc_1(X0,X1))) ),
inference(superposition,[status(thm)],[c_1993,c_612]) ).
tcf(c_180326,plain,
( v1_xboole_0(k1_zfmisc_1(k5_numbers))
| v5_membered(sK318(k1_zfmisc_1(k5_numbers)))
| ~ v1_realset1(k1_zfmisc_1(k5_numbers)) ),
inference(superposition,[status(thm)],[c_1993,c_1404]) ).
tcf(c_180327,plain,
( v1_xboole_0(k1_zfmisc_1(k5_numbers))
| v4_membered(sK318(k1_zfmisc_1(k5_numbers)))
| ~ v1_realset1(k1_zfmisc_1(k5_numbers)) ),
inference(superposition,[status(thm)],[c_1993,c_1403]) ).
tcf(c_180328,plain,
( v1_xboole_0(k1_zfmisc_1(k5_numbers))
| v3_membered(sK318(k1_zfmisc_1(k5_numbers)))
| ~ v1_realset1(k1_zfmisc_1(k5_numbers)) ),
inference(superposition,[status(thm)],[c_1993,c_1402]) ).
tcf(c_180329,plain,
( v1_xboole_0(k1_zfmisc_1(k5_numbers))
| v2_membered(sK318(k1_zfmisc_1(k5_numbers)))
| ~ v1_realset1(k1_zfmisc_1(k5_numbers)) ),
inference(superposition,[status(thm)],[c_1993,c_1401]) ).
tcf(c_180330,plain,
( v1_xboole_0(k1_zfmisc_1(k5_numbers))
| v1_membered(sK318(k1_zfmisc_1(k5_numbers)))
| ~ v1_realset1(k1_zfmisc_1(k5_numbers)) ),
inference(superposition,[status(thm)],[c_1993,c_1400]) ).
tcf(c_180331,plain,
( v1_xboole_0(k1_zfmisc_1(k4_numbers))
| v4_membered(sK318(k1_zfmisc_1(k4_numbers)))
| ~ v1_realset1(k1_zfmisc_1(k4_numbers)) ),
inference(superposition,[status(thm)],[c_1993,c_1480]) ).
tcf(c_180332,plain,
( v1_xboole_0(k1_zfmisc_1(k4_numbers))
| v3_membered(sK318(k1_zfmisc_1(k4_numbers)))
| ~ v1_realset1(k1_zfmisc_1(k4_numbers)) ),
inference(superposition,[status(thm)],[c_1993,c_1479]) ).
tcf(c_180333,plain,
( v1_xboole_0(k1_zfmisc_1(k4_numbers))
| v2_membered(sK318(k1_zfmisc_1(k4_numbers)))
| ~ v1_realset1(k1_zfmisc_1(k4_numbers)) ),
inference(superposition,[status(thm)],[c_1993,c_1478]) ).
tcf(c_180334,plain,
( v1_xboole_0(k1_zfmisc_1(k4_numbers))
| v1_membered(sK318(k1_zfmisc_1(k4_numbers)))
| ~ v1_realset1(k1_zfmisc_1(k4_numbers)) ),
inference(superposition,[status(thm)],[c_1993,c_1477]) ).
tcf(c_180335,plain,
( v1_xboole_0(k1_zfmisc_1(k3_numbers))
| v3_membered(sK318(k1_zfmisc_1(k3_numbers)))
| ~ v1_realset1(k1_zfmisc_1(k3_numbers)) ),
inference(superposition,[status(thm)],[c_1993,c_1510]) ).
tcf(c_180336,plain,
( v1_xboole_0(k1_zfmisc_1(k3_numbers))
| v2_membered(sK318(k1_zfmisc_1(k3_numbers)))
| ~ v1_realset1(k1_zfmisc_1(k3_numbers)) ),
inference(superposition,[status(thm)],[c_1993,c_1509]) ).
tcf(c_180337,plain,
( v1_xboole_0(k1_zfmisc_1(k3_numbers))
| v1_membered(sK318(k1_zfmisc_1(k3_numbers)))
| ~ v1_realset1(k1_zfmisc_1(k3_numbers)) ),
inference(superposition,[status(thm)],[c_1993,c_1508]) ).
tcf(c_180338,plain,
( v1_xboole_0(k1_zfmisc_1(k1_numbers))
| v2_membered(sK318(k1_zfmisc_1(k1_numbers)))
| ~ v1_realset1(k1_zfmisc_1(k1_numbers)) ),
inference(superposition,[status(thm)],[c_1993,c_1556]) ).
tcf(c_180339,plain,
( v1_xboole_0(k1_zfmisc_1(k1_numbers))
| v1_membered(sK318(k1_zfmisc_1(k1_numbers)))
| ~ v1_realset1(k1_zfmisc_1(k1_numbers)) ),
inference(superposition,[status(thm)],[c_1993,c_1555]) ).
tcf(c_180340,plain,
! [X0: $i] :
( v1_xboole_0(k5_finsub_1(X0))
| v1_finset_1(sK318(k5_finsub_1(X0)))
| ~ v1_realset1(k5_finsub_1(X0)) ),
inference(superposition,[status(thm)],[c_1993,c_1655]) ).
tcf(c_180341,plain,
( v1_xboole_0(k4_numbers)
| v1_int_1(sK318(k4_numbers))
| ~ v1_realset1(k4_numbers) ),
inference(superposition,[status(thm)],[c_1993,c_2724]) ).
tcf(c_180342,plain,
( v1_xboole_0(k1_zfmisc_1(k2_numbers))
| v1_membered(sK318(k1_zfmisc_1(k2_numbers)))
| ~ v1_realset1(k1_zfmisc_1(k2_numbers)) ),
inference(superposition,[status(thm)],[c_1993,c_3643]) ).
tcf(c_180343,plain,
( v1_int_1(sK318(k4_numbers))
| ~ v1_realset1(k4_numbers) ),
inference(forward_subsumption_resolution,[status(thm)],[c_180341,c_2733]) ).
tcf(c_180349,plain,
( v1_membered(sK318(k1_zfmisc_1(k2_numbers)))
| ~ v1_realset1(k1_zfmisc_1(k2_numbers)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_180342,c_595]) ).
tcf(c_180355,plain,
( v1_membered(sK318(k1_zfmisc_1(k1_numbers)))
| ~ v1_realset1(k1_zfmisc_1(k1_numbers)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_180339,c_595]) ).
tcf(c_180358,plain,
( v2_membered(sK318(k1_zfmisc_1(k1_numbers)))
| ~ v1_realset1(k1_zfmisc_1(k1_numbers)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_180338,c_595]) ).
tcf(c_180361,plain,
( v1_membered(sK318(k1_zfmisc_1(k3_numbers)))
| ~ v1_realset1(k1_zfmisc_1(k3_numbers)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_180337,c_595]) ).
tcf(c_180364,plain,
( v2_membered(sK318(k1_zfmisc_1(k3_numbers)))
| ~ v1_realset1(k1_zfmisc_1(k3_numbers)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_180336,c_595]) ).
tcf(c_180367,plain,
( v3_membered(sK318(k1_zfmisc_1(k3_numbers)))
| ~ v1_realset1(k1_zfmisc_1(k3_numbers)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_180335,c_595]) ).
tcf(c_180370,plain,
( v1_membered(sK318(k1_zfmisc_1(k4_numbers)))
| ~ v1_realset1(k1_zfmisc_1(k4_numbers)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_180334,c_595]) ).
tcf(c_180373,plain,
( v2_membered(sK318(k1_zfmisc_1(k4_numbers)))
| ~ v1_realset1(k1_zfmisc_1(k4_numbers)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_180333,c_595]) ).
tcf(c_180376,plain,
( v3_membered(sK318(k1_zfmisc_1(k4_numbers)))
| ~ v1_realset1(k1_zfmisc_1(k4_numbers)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_180332,c_595]) ).
tcf(c_180379,plain,
( v4_membered(sK318(k1_zfmisc_1(k4_numbers)))
| ~ v1_realset1(k1_zfmisc_1(k4_numbers)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_180331,c_595]) ).
tcf(c_180382,plain,
( v1_membered(sK318(k1_zfmisc_1(k5_numbers)))
| ~ v1_realset1(k1_zfmisc_1(k5_numbers)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_180330,c_595]) ).
tcf(c_180385,plain,
( v2_membered(sK318(k1_zfmisc_1(k5_numbers)))
| ~ v1_realset1(k1_zfmisc_1(k5_numbers)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_180329,c_595]) ).
tcf(c_180388,plain,
( v3_membered(sK318(k1_zfmisc_1(k5_numbers)))
| ~ v1_realset1(k1_zfmisc_1(k5_numbers)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_180328,c_595]) ).
tcf(c_180391,plain,
( v4_membered(sK318(k1_zfmisc_1(k5_numbers)))
| ~ v1_realset1(k1_zfmisc_1(k5_numbers)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_180327,c_595]) ).
tcf(c_180394,plain,
( v5_membered(sK318(k1_zfmisc_1(k5_numbers)))
| ~ v1_realset1(k1_zfmisc_1(k5_numbers)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_180326,c_595]) ).
tcf(c_180409,plain,
! [X0: $i] :
( r1_tarski(sK318(k1_zfmisc_1(X0)),X0)
| ~ v1_realset1(k1_zfmisc_1(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_180324,c_595]) ).
tcf(c_180412,plain,
! [X0: $i,X1: $i] :
( v1_relat_1(sK318(k1_zfmisc_1(k2_zfmisc_1(X0,X1))))
| ~ v1_realset1(k1_zfmisc_1(k2_zfmisc_1(X0,X1))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_180325,c_595]) ).
tcf(c_180433,plain,
! [X0: $i,X1: $i] : v1_membered(k1_setfam_1(k2_tarski(X0,k4_xboole_0(k2_numbers,X1)))),
inference(superposition,[status(thm)],[c_48896,c_172085]) ).
tcf(c_180434,plain,
! [X0: $i,X1: $i] : v1_membered(k1_setfam_1(k2_tarski(k4_xboole_0(k2_numbers,X0),X1))),
inference(superposition,[status(thm)],[c_2532,c_172085]) ).
tcf(c_180440,plain,
! [X0: $i,X1: $i] : v1_membered(k4_xboole_0(k1_setfam_1(k2_tarski(k2_numbers,X0)),X1)),
inference(superposition,[status(thm)],[c_2532,c_172085]) ).
tcf(c_180441,plain,
! [X0: $i,X1: $i,X2: $i] : v1_membered(k4_xboole_0(k4_xboole_0(k4_xboole_0(k2_numbers,X0),X1),X2)),
inference(superposition,[status(thm)],[c_484,c_172085]) ).
tcf(c_180461,plain,
! [X0: $i] :
( v1_relat_1(X0)
| v1_xcmplx_0(sK92(X0))
| ~ v2_membered(X0) ),
inference(superposition,[status(thm)],[c_172427,c_1550]) ).
tcf(c_180462,plain,
! [X0: $i] :
( v1_relat_1(X0)
| v1_xboole_0(sK92(X0))
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_172427,c_590]) ).
tcf(c_180463,plain,
! [X0: $i] :
( v1_relat_1(X0)
| v1_xboole_0(X0)
| r2_hidden(sK92(X0),X0) ),
inference(superposition,[status(thm)],[c_172427,c_588]) ).
tcf(c_180465,plain,
! [X0: $i,X1: $i] :
( v1_relat_1(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| v1_relat_1(sK92(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))) ),
inference(superposition,[status(thm)],[c_172427,c_612]) ).
tcf(c_180466,plain,
( v1_relat_1(k1_zfmisc_1(k5_numbers))
| v5_membered(sK92(k1_zfmisc_1(k5_numbers))) ),
inference(superposition,[status(thm)],[c_172427,c_1404]) ).
tcf(c_180467,plain,
( v1_relat_1(k1_zfmisc_1(k5_numbers))
| v4_membered(sK92(k1_zfmisc_1(k5_numbers))) ),
inference(superposition,[status(thm)],[c_172427,c_1403]) ).
tcf(c_180468,plain,
( v1_relat_1(k1_zfmisc_1(k5_numbers))
| v3_membered(sK92(k1_zfmisc_1(k5_numbers))) ),
inference(superposition,[status(thm)],[c_172427,c_1402]) ).
tcf(c_180469,plain,
( v1_relat_1(k1_zfmisc_1(k5_numbers))
| v2_membered(sK92(k1_zfmisc_1(k5_numbers))) ),
inference(superposition,[status(thm)],[c_172427,c_1401]) ).
tcf(c_180470,plain,
( v1_relat_1(k1_zfmisc_1(k5_numbers))
| v1_membered(sK92(k1_zfmisc_1(k5_numbers))) ),
inference(superposition,[status(thm)],[c_172427,c_1400]) ).
tcf(c_180471,plain,
( v1_relat_1(k1_zfmisc_1(k4_numbers))
| v4_membered(sK92(k1_zfmisc_1(k4_numbers))) ),
inference(superposition,[status(thm)],[c_172427,c_1480]) ).
tcf(c_180472,plain,
( v1_relat_1(k1_zfmisc_1(k4_numbers))
| v3_membered(sK92(k1_zfmisc_1(k4_numbers))) ),
inference(superposition,[status(thm)],[c_172427,c_1479]) ).
tcf(c_180473,plain,
( v1_relat_1(k1_zfmisc_1(k4_numbers))
| v2_membered(sK92(k1_zfmisc_1(k4_numbers))) ),
inference(superposition,[status(thm)],[c_172427,c_1478]) ).
tcf(c_180474,plain,
( v1_relat_1(k1_zfmisc_1(k4_numbers))
| v1_membered(sK92(k1_zfmisc_1(k4_numbers))) ),
inference(superposition,[status(thm)],[c_172427,c_1477]) ).
tcf(c_180475,plain,
( v1_relat_1(k1_zfmisc_1(k3_numbers))
| v3_membered(sK92(k1_zfmisc_1(k3_numbers))) ),
inference(superposition,[status(thm)],[c_172427,c_1510]) ).
tcf(c_180476,plain,
( v1_relat_1(k1_zfmisc_1(k3_numbers))
| v2_membered(sK92(k1_zfmisc_1(k3_numbers))) ),
inference(superposition,[status(thm)],[c_172427,c_1509]) ).
tcf(c_180477,plain,
( v1_relat_1(k1_zfmisc_1(k3_numbers))
| v1_membered(sK92(k1_zfmisc_1(k3_numbers))) ),
inference(superposition,[status(thm)],[c_172427,c_1508]) ).
tcf(c_180478,plain,
( v1_relat_1(k1_zfmisc_1(k1_numbers))
| v2_membered(sK92(k1_zfmisc_1(k1_numbers))) ),
inference(superposition,[status(thm)],[c_172427,c_1556]) ).
tcf(c_180479,plain,
( v1_relat_1(k1_zfmisc_1(k1_numbers))
| v1_membered(sK92(k1_zfmisc_1(k1_numbers))) ),
inference(superposition,[status(thm)],[c_172427,c_1555]) ).
tcf(c_180482,plain,
( v1_relat_1(k1_zfmisc_1(k2_numbers))
| v1_membered(sK92(k1_zfmisc_1(k2_numbers))) ),
inference(superposition,[status(thm)],[c_172427,c_3643]) ).
tcf(c_180543,plain,
! [X0: $i] :
( v5_membered(X0)
| v1_xcmplx_0(sK92(X0))
| ~ v2_membered(X0) ),
inference(superposition,[status(thm)],[c_172664,c_1550]) ).
tcf(c_180544,plain,
! [X0: $i] :
( v5_membered(X0)
| v1_xboole_0(sK92(X0))
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_172664,c_590]) ).
tcf(c_180545,plain,
! [X0: $i] :
( v5_membered(X0)
| v1_xboole_0(X0)
| r2_hidden(sK92(X0),X0) ),
inference(superposition,[status(thm)],[c_172664,c_588]) ).
tcf(c_180547,plain,
! [X0: $i,X1: $i] :
( v5_membered(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| v1_relat_1(sK92(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))) ),
inference(superposition,[status(thm)],[c_172664,c_612]) ).
tcf(c_180548,plain,
( v5_membered(k1_zfmisc_1(k5_numbers))
| v5_membered(sK92(k1_zfmisc_1(k5_numbers))) ),
inference(superposition,[status(thm)],[c_172664,c_1404]) ).
tcf(c_180549,plain,
( v5_membered(k1_zfmisc_1(k5_numbers))
| v4_membered(sK92(k1_zfmisc_1(k5_numbers))) ),
inference(superposition,[status(thm)],[c_172664,c_1403]) ).
tcf(c_180550,plain,
( v5_membered(k1_zfmisc_1(k5_numbers))
| v3_membered(sK92(k1_zfmisc_1(k5_numbers))) ),
inference(superposition,[status(thm)],[c_172664,c_1402]) ).
tcf(c_180551,plain,
( v5_membered(k1_zfmisc_1(k5_numbers))
| v2_membered(sK92(k1_zfmisc_1(k5_numbers))) ),
inference(superposition,[status(thm)],[c_172664,c_1401]) ).
tcf(c_180552,plain,
( v5_membered(k1_zfmisc_1(k5_numbers))
| v1_membered(sK92(k1_zfmisc_1(k5_numbers))) ),
inference(superposition,[status(thm)],[c_172664,c_1400]) ).
tcf(c_180553,plain,
( v5_membered(k1_zfmisc_1(k4_numbers))
| v4_membered(sK92(k1_zfmisc_1(k4_numbers))) ),
inference(superposition,[status(thm)],[c_172664,c_1480]) ).
tcf(c_180554,plain,
( v5_membered(k1_zfmisc_1(k4_numbers))
| v3_membered(sK92(k1_zfmisc_1(k4_numbers))) ),
inference(superposition,[status(thm)],[c_172664,c_1479]) ).
tcf(c_180555,plain,
( v5_membered(k1_zfmisc_1(k4_numbers))
| v2_membered(sK92(k1_zfmisc_1(k4_numbers))) ),
inference(superposition,[status(thm)],[c_172664,c_1478]) ).
tcf(c_180556,plain,
( v5_membered(k1_zfmisc_1(k4_numbers))
| v1_membered(sK92(k1_zfmisc_1(k4_numbers))) ),
inference(superposition,[status(thm)],[c_172664,c_1477]) ).
tcf(c_180557,plain,
( v5_membered(k1_zfmisc_1(k3_numbers))
| v3_membered(sK92(k1_zfmisc_1(k3_numbers))) ),
inference(superposition,[status(thm)],[c_172664,c_1510]) ).
tcf(c_180558,plain,
( v5_membered(k1_zfmisc_1(k3_numbers))
| v2_membered(sK92(k1_zfmisc_1(k3_numbers))) ),
inference(superposition,[status(thm)],[c_172664,c_1509]) ).
tcf(c_180559,plain,
( v5_membered(k1_zfmisc_1(k3_numbers))
| v1_membered(sK92(k1_zfmisc_1(k3_numbers))) ),
inference(superposition,[status(thm)],[c_172664,c_1508]) ).
tcf(c_180560,plain,
( v5_membered(k1_zfmisc_1(k1_numbers))
| v2_membered(sK92(k1_zfmisc_1(k1_numbers))) ),
inference(superposition,[status(thm)],[c_172664,c_1556]) ).
tcf(c_180561,plain,
( v5_membered(k1_zfmisc_1(k1_numbers))
| v1_membered(sK92(k1_zfmisc_1(k1_numbers))) ),
inference(superposition,[status(thm)],[c_172664,c_1555]) ).
tcf(c_180564,plain,
( v5_membered(k1_zfmisc_1(k2_numbers))
| v1_membered(sK92(k1_zfmisc_1(k2_numbers))) ),
inference(superposition,[status(thm)],[c_172664,c_3643]) ).
tcf(c_180585,plain,
v1_membered(sK92(k1_zfmisc_1(k5_numbers))),
inference(forward_subsumption_resolution,[status(thm)],[c_180552,c_168990]) ).
tcf(c_180586,plain,
v2_membered(sK92(k1_zfmisc_1(k5_numbers))),
inference(forward_subsumption_resolution,[status(thm)],[c_180551,c_168990]) ).
tcf(c_180587,plain,
v3_membered(sK92(k1_zfmisc_1(k5_numbers))),
inference(forward_subsumption_resolution,[status(thm)],[c_180550,c_168990]) ).
tcf(c_180588,plain,
v4_membered(sK92(k1_zfmisc_1(k5_numbers))),
inference(forward_subsumption_resolution,[status(thm)],[c_180549,c_168990]) ).
tcf(c_180589,plain,
v5_membered(sK92(k1_zfmisc_1(k5_numbers))),
inference(forward_subsumption_resolution,[status(thm)],[c_180548,c_168990]) ).
tcf(c_180633,plain,
! [X0: $i] :
( v4_membered(X0)
| v1_xcmplx_0(sK92(X0))
| ~ v2_membered(X0) ),
inference(superposition,[status(thm)],[c_172725,c_1550]) ).
tcf(c_180634,plain,
! [X0: $i] :
( v4_membered(X0)
| v1_xboole_0(sK92(X0))
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_172725,c_590]) ).
tcf(c_180635,plain,
! [X0: $i] :
( v4_membered(X0)
| v1_xboole_0(X0)
| r2_hidden(sK92(X0),X0) ),
inference(superposition,[status(thm)],[c_172725,c_588]) ).
tcf(c_180637,plain,
! [X0: $i,X1: $i] :
( v4_membered(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| v1_relat_1(sK92(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))) ),
inference(superposition,[status(thm)],[c_172725,c_612]) ).
tcf(c_180643,plain,
( v4_membered(k1_zfmisc_1(k4_numbers))
| v4_membered(sK92(k1_zfmisc_1(k4_numbers))) ),
inference(superposition,[status(thm)],[c_172725,c_1480]) ).
tcf(c_180644,plain,
( v4_membered(k1_zfmisc_1(k4_numbers))
| v3_membered(sK92(k1_zfmisc_1(k4_numbers))) ),
inference(superposition,[status(thm)],[c_172725,c_1479]) ).
tcf(c_180645,plain,
( v4_membered(k1_zfmisc_1(k4_numbers))
| v2_membered(sK92(k1_zfmisc_1(k4_numbers))) ),
inference(superposition,[status(thm)],[c_172725,c_1478]) ).
tcf(c_180646,plain,
( v4_membered(k1_zfmisc_1(k4_numbers))
| v1_membered(sK92(k1_zfmisc_1(k4_numbers))) ),
inference(superposition,[status(thm)],[c_172725,c_1477]) ).
tcf(c_180647,plain,
( v4_membered(k1_zfmisc_1(k3_numbers))
| v3_membered(sK92(k1_zfmisc_1(k3_numbers))) ),
inference(superposition,[status(thm)],[c_172725,c_1510]) ).
tcf(c_180648,plain,
( v4_membered(k1_zfmisc_1(k3_numbers))
| v2_membered(sK92(k1_zfmisc_1(k3_numbers))) ),
inference(superposition,[status(thm)],[c_172725,c_1509]) ).
tcf(c_180649,plain,
( v4_membered(k1_zfmisc_1(k3_numbers))
| v1_membered(sK92(k1_zfmisc_1(k3_numbers))) ),
inference(superposition,[status(thm)],[c_172725,c_1508]) ).
tcf(c_180650,plain,
( v4_membered(k1_zfmisc_1(k1_numbers))
| v2_membered(sK92(k1_zfmisc_1(k1_numbers))) ),
inference(superposition,[status(thm)],[c_172725,c_1556]) ).
tcf(c_180651,plain,
( v4_membered(k1_zfmisc_1(k1_numbers))
| v1_membered(sK92(k1_zfmisc_1(k1_numbers))) ),
inference(superposition,[status(thm)],[c_172725,c_1555]) ).
tcf(c_180654,plain,
( v4_membered(k1_zfmisc_1(k2_numbers))
| v1_membered(sK92(k1_zfmisc_1(k2_numbers))) ),
inference(superposition,[status(thm)],[c_172725,c_3643]) ).
tcf(c_180667,plain,
v1_membered(sK92(k1_zfmisc_1(k4_numbers))),
inference(forward_subsumption_resolution,[status(thm)],[c_180646,c_168991]) ).
tcf(c_180668,plain,
v2_membered(sK92(k1_zfmisc_1(k4_numbers))),
inference(forward_subsumption_resolution,[status(thm)],[c_180645,c_168991]) ).
tcf(c_180669,plain,
v3_membered(sK92(k1_zfmisc_1(k4_numbers))),
inference(forward_subsumption_resolution,[status(thm)],[c_180644,c_168991]) ).
tcf(c_180670,plain,
v4_membered(sK92(k1_zfmisc_1(k4_numbers))),
inference(forward_subsumption_resolution,[status(thm)],[c_180643,c_168991]) ).
tcf(c_180690,plain,
! [X0: $i,X1: $i] :
( ( X0 = np__0 )
| ( k7_relat_1(sK46(X0,X1),np__0) = np__0 ) ),
inference(superposition,[status(thm)],[c_100,c_2045]) ).
tcf(c_180691,plain,
k7_relat_1(sK84,np__0) = np__0,
inference(superposition,[status(thm)],[c_579,c_2045]) ).
tcf(c_180692,plain,
k7_relat_1(np__0,np__0) = np__0,
inference(superposition,[status(thm)],[c_3339,c_2045]) ).
tcf(c_180693,plain,
! [X0: $i,X1: $i] : k7_relat_1(k2_zfmisc_1(X0,X1),np__0) = np__0,
inference(superposition,[status(thm)],[c_613,c_2045]) ).
tcf(c_180694,plain,
! [X0: $i] :
( ( X0 = np__0 )
| ( k7_relat_1(sK112(X0),np__0) = np__0 ) ),
inference(superposition,[status(thm)],[c_690,c_2045]) ).
tcf(c_180695,plain,
! [X0: $i] :
( ( X0 = np__0 )
| ( k7_relat_1(sK111(X0),np__0) = np__0 ) ),
inference(superposition,[status(thm)],[c_692,c_2045]) ).
tcf(c_180696,plain,
! [X0: $i,X1: $i] :
( ( X0 = np__0 )
| ( k7_relat_1(sK115(X0,X1),np__0) = np__0 ) ),
inference(superposition,[status(thm)],[c_720,c_2045]) ).
tcf(c_180697,plain,
! [X0: $i] :
( ( k7_relat_1(k2_relat_1(X0),np__0) = np__0 )
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_745,c_2045]) ).
tcf(c_180698,plain,
k7_relat_1(sK121,np__0) = np__0,
inference(superposition,[status(thm)],[c_747,c_2045]) ).
tcf(c_180699,plain,
! [X0: $i] :
( ( k7_relat_1(k1_relat_1(X0),np__0) = np__0 )
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_751,c_2045]) ).
tcf(c_180700,plain,
! [X0: $i,X1: $i] :
( ( k7_relat_1(k1_realset1(X0,X1),np__0) = np__0 )
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_1004,c_2045]) ).
tcf(c_180701,plain,
k7_relat_1(sK261,np__0) = np__0,
inference(superposition,[status(thm)],[c_1665,c_2045]) ).
tcf(c_180702,plain,
! [X0: $i,X1: $i] :
( ( k7_relat_1(k4_xboole_0(X0,X1),np__0) = np__0 )
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_1711,c_2045]) ).
tcf(c_180703,plain,
! [X0: $i,X1: $i] :
( ( k7_relat_1(k7_relat_1(X0,X1),np__0) = np__0 )
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_2035,c_2045]) ).
tcf(c_180704,plain,
! [X0: $i,X1: $i] : k7_relat_1(sK333(X0,X1),np__0) = np__0,
inference(superposition,[status(thm)],[c_2114,c_2045]) ).
tcf(c_180705,plain,
! [X0: $i,X1: $i] : k7_relat_1(sK334(X0,X1),np__0) = np__0,
inference(superposition,[status(thm)],[c_2118,c_2045]) ).
tcf(c_180706,plain,
! [X0: $i] : k7_relat_1(k6_partfun1(X0),np__0) = np__0,
inference(superposition,[status(thm)],[c_2184,c_2045]) ).
tcf(c_180709,plain,
k7_relat_1(sK448,np__0) = np__0,
inference(superposition,[status(thm)],[c_2875,c_2045]) ).
tcf(c_180710,plain,
! [X0: $i,X1: $i] :
( ( k7_relat_1(k8_relat_1(X1,X0),np__0) = np__0 )
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_3291,c_2045]) ).
tcf(c_180711,plain,
! [X0: $i] :
( ( k7_relat_1(sK522(X0),np__0) = np__0 )
| ~ v1_finset_1(X0) ),
inference(superposition,[status(thm)],[c_3331,c_2045]) ).
tcf(c_180712,plain,
k7_relat_1(sK523,np__0) = np__0,
inference(superposition,[status(thm)],[c_3343,c_2045]) ).
tcf(c_180713,plain,
! [X0: $i] : k7_relat_1(sK524(X0),np__0) = np__0,
inference(superposition,[status(thm)],[c_3348,c_2045]) ).
tcf(c_180714,plain,
k7_relat_1(sK525,np__0) = np__0,
inference(superposition,[status(thm)],[c_3353,c_2045]) ).
tcf(c_180715,plain,
! [X0: $i] :
( ( k7_relat_1(k4_relat_1(X0),np__0) = np__0 )
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_3389,c_2045]) ).
tcf(c_180716,plain,
! [X0: $i] :
( ( k7_relat_1(k4_relat_1(X0),np__0) = np__0 )
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_3373,c_2045]) ).
tcf(c_180717,plain,
! [X0: $i,X1: $i] :
( ( k7_relat_1(sK569(X0,X1),np__0) = np__0 )
| ~ sP37(X0,X1) ),
inference(superposition,[status(thm)],[c_3727,c_2045]) ).
tcf(c_180718,plain,
! [X0: $i,X1: $i] :
( ( k7_relat_1(k1_setfam_1(k2_tarski(X1,X0)),np__0) = np__0 )
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_47707,c_2045]) ).
tcf(c_180719,plain,
! [X0: $i] :
( ( k7_relat_1(k1_pre_topc(X0),np__0) = np__0 )
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_160937,c_2045]) ).
tcf(c_180720,plain,
! [X0: $i] :
( ( k7_relat_1(k1_pre_topc(X0),np__0) = np__0 )
| ~ l1_struct_0(X0) ),
inference(superposition,[status(thm)],[c_159838,c_2045]) ).
tcf(c_180721,plain,
( ( k7_relat_1(k1_tops_1(sK39,np__0),np__0) = np__0 )
| ~ l1_pre_topc(sK39) ),
inference(superposition,[status(thm)],[c_167019,c_2045]) ).
tcf(c_180722,plain,
! [X0: $i,X1: $i] : k7_relat_1(k5_relat_1(k6_partfun1(X0),k6_partfun1(X1)),np__0) = np__0,
inference(superposition,[status(thm)],[c_169449,c_2045]) ).
tcf(c_180723,plain,
( ( k7_relat_1(sK92(k1_zfmisc_1(u1_struct_0(sK39))),np__0) = np__0 )
| ~ v1_relat_1(u1_struct_0(sK39)) ),
inference(superposition,[status(thm)],[c_174649,c_2045]) ).
tcf(c_180815,plain,
! [X0: $i] :
( r1_tarski(k1_relat_1(np__0),X0)
| ~ v1_relat_1(np__0) ),
inference(superposition,[status(thm)],[c_2044,c_2068]) ).
tcf(c_180816,plain,
! [X0: $i,X1: $i] :
( v1_finset_1(k1_relat_1(k7_relat_1(X0,X1)))
| ~ v1_finset_1(X1)
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_2068,c_1686]) ).
tcf(c_180817,plain,
! [X0: $i,X1: $i] :
( v1_membered(k1_relat_1(k7_relat_1(X0,X1)))
| ~ v1_membered(X1)
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_2068,c_1573]) ).
tcf(c_180818,plain,
! [X0: $i,X1: $i] :
( v2_membered(k1_relat_1(k7_relat_1(X0,X1)))
| ~ v2_membered(X1)
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_2068,c_1527]) ).
tcf(c_180819,plain,
! [X0: $i,X1: $i] :
( v3_membered(k1_relat_1(k7_relat_1(X0,X1)))
| ~ v3_membered(X1)
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_2068,c_1484]) ).
tcf(c_180820,plain,
! [X0: $i,X1: $i] :
( v4_membered(k1_relat_1(k7_relat_1(X0,X1)))
| ~ v4_membered(X1)
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_2068,c_1427]) ).
tcf(c_180821,plain,
! [X0: $i,X1: $i] :
( v5_membered(k1_relat_1(k7_relat_1(X0,X1)))
| ~ v5_membered(X1)
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_2068,c_1335]) ).
tcf(c_180822,plain,
! [X0: $i,X1: $i] :
( v1_relat_1(k1_relat_1(k7_relat_1(X0,X1)))
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_2068,c_539]) ).
tcf(c_180823,plain,
! [X0: $i,X1: $i] :
( ~ v1_relat_1(X1)
| ~ r2_hidden(X0,k1_relat_1(k7_relat_1(X1,X0))) ),
inference(superposition,[status(thm)],[c_2068,c_538]) ).
tcf(c_180824,plain,
! [X0: $i] :
( ( k1_relat_1(k7_relat_1(X0,np__0)) = np__0 )
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_2068,c_564]) ).
tcf(c_180825,plain,
! [X0: $i] :
( v1_membered(k1_relat_1(k7_relat_1(X0,k5_numbers)))
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_2068,c_167221]) ).
tcf(c_180826,plain,
! [X0: $i] :
( v2_membered(k1_relat_1(k7_relat_1(X0,k5_numbers)))
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_2068,c_167220]) ).
tcf(c_180827,plain,
! [X0: $i] :
( v3_membered(k1_relat_1(k7_relat_1(X0,k5_numbers)))
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_2068,c_167219]) ).
tcf(c_180828,plain,
! [X0: $i] :
( v4_membered(k1_relat_1(k7_relat_1(X0,k5_numbers)))
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_2068,c_167218]) ).
tcf(c_180829,plain,
! [X0: $i] :
( v5_membered(k1_relat_1(k7_relat_1(X0,k5_numbers)))
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_2068,c_167217]) ).
tcf(c_180830,plain,
! [X0: $i] :
( v1_membered(k1_relat_1(k7_relat_1(X0,k4_numbers)))
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_2068,c_167225]) ).
tcf(c_180831,plain,
! [X0: $i] :
( v2_membered(k1_relat_1(k7_relat_1(X0,k4_numbers)))
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_2068,c_167224]) ).
tcf(c_180832,plain,
! [X0: $i] :
( v3_membered(k1_relat_1(k7_relat_1(X0,k4_numbers)))
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_2068,c_167223]) ).
tcf(c_180833,plain,
! [X0: $i] :
( v4_membered(k1_relat_1(k7_relat_1(X0,k4_numbers)))
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_2068,c_167222]) ).
tcf(c_180834,plain,
! [X0: $i] :
( v1_membered(k1_relat_1(k7_relat_1(X0,k3_numbers)))
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_2068,c_167228]) ).
tcf(c_180835,plain,
! [X0: $i] :
( v2_membered(k1_relat_1(k7_relat_1(X0,k3_numbers)))
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_2068,c_167227]) ).
tcf(c_180836,plain,
! [X0: $i] :
( v3_membered(k1_relat_1(k7_relat_1(X0,k3_numbers)))
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_2068,c_167226]) ).
tcf(c_180837,plain,
! [X0: $i] :
( v1_membered(k1_relat_1(k7_relat_1(X0,k1_numbers)))
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_2068,c_167230]) ).
tcf(c_180838,plain,
! [X0: $i] :
( v2_membered(k1_relat_1(k7_relat_1(X0,k1_numbers)))
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_2068,c_167229]) ).
tcf(c_180839,plain,
! [X0: $i] :
( v1_membered(k1_relat_1(k7_relat_1(X0,k2_numbers)))
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_2068,c_167231]) ).
tcf(c_180840,plain,
! [X0: $i] :
( r1_tarski(np__0,X0)
| ~ v1_relat_1(np__0) ),
inference(light_normalisation,[status(thm)],[c_180815,c_730]) ).
tcf(c_180948,plain,
! [X0: $i,X1: $i] : m2_relset_1(sK333(X0,X1),X0,X1),
inference(superposition,[status(thm)],[c_2113,c_2120]) ).
tcf(c_180949,plain,
! [X0: $i,X1: $i] : m2_relset_1(sK334(X0,X1),X0,X1),
inference(superposition,[status(thm)],[c_2117,c_2120]) ).
tcf(c_180950,plain,
! [X0: $i,X1: $i] : m2_relset_1(sK335(X0,X1),X0,X1),
inference(superposition,[status(thm)],[c_2122,c_2120]) ).
tcf(c_180951,plain,
! [X0: $i] : m2_relset_1(sK524(X0),k5_numbers,X0),
inference(superposition,[status(thm)],[c_3347,c_2120]) ).
tcf(c_180960,plain,
! [X0: $i,X1: $i] : m1_relset_1(sK94(X0,X1),X0,X1),
inference(superposition,[status(thm)],[c_632,c_2121]) ).
tcf(c_180961,plain,
! [X0: $i,X1: $i] : m1_relset_1(np__0,X0,X1),
inference(superposition,[status(thm)],[c_686,c_2121]) ).
tcf(c_180962,plain,
! [X0: $i] : m1_relset_1(k6_partfun1(X0),X0,X0),
inference(superposition,[status(thm)],[c_3499,c_2121]) ).
tcf(c_180963,plain,
! [X0: $i,X1: $i] :
( m1_relset_1(X0,k5_numbers,X1)
| ~ m2_finseq_1(X0,X1) ),
inference(superposition,[status(thm)],[c_3329,c_2121]) ).
tcf(c_180981,plain,
v8_relat_2(sK197(k5_numbers,sK524(k5_numbers))),
inference(superposition,[status(thm)],[c_180951,c_1136]) ).
tcf(c_180982,plain,
v3_relat_2(sK197(k5_numbers,sK524(k5_numbers))),
inference(superposition,[status(thm)],[c_180951,c_1135]) ).
tcf(c_180983,plain,
m1_relset_1(np__0,np__0,np__0),
inference(superposition,[status(thm)],[c_2188,c_180962]) ).
tcf(c_180984,plain,
! [X0: $i,X1: $i] : m1_relset_1(k5_relat_1(k6_partfun1(X0),k6_partfun1(X1)),k1_setfam_1(k2_tarski(X0,X1)),k1_setfam_1(k2_tarski(X0,X1))),
inference(superposition,[status(thm)],[c_49266,c_180962]) ).
tcf(c_181002,plain,
! [X0: $i] :
( v2_membered(X0)
| v1_xboole_0(sK92(X0))
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_172976,c_590]) ).
tcf(c_181003,plain,
! [X0: $i] :
( v2_membered(X0)
| v1_xboole_0(X0)
| r2_hidden(sK92(X0),X0) ),
inference(superposition,[status(thm)],[c_172976,c_588]) ).
tcf(c_181005,plain,
! [X0: $i,X1: $i] :
( v2_membered(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| v1_relat_1(sK92(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))) ),
inference(superposition,[status(thm)],[c_172976,c_612]) ).
tcf(c_181015,plain,
( v2_membered(k1_zfmisc_1(k3_numbers))
| v3_membered(sK92(k1_zfmisc_1(k3_numbers))) ),
inference(superposition,[status(thm)],[c_172976,c_1510]) ).
tcf(c_181016,plain,
( v2_membered(k1_zfmisc_1(k3_numbers))
| v2_membered(sK92(k1_zfmisc_1(k3_numbers))) ),
inference(superposition,[status(thm)],[c_172976,c_1509]) ).
tcf(c_181017,plain,
( v2_membered(k1_zfmisc_1(k3_numbers))
| v1_membered(sK92(k1_zfmisc_1(k3_numbers))) ),
inference(superposition,[status(thm)],[c_172976,c_1508]) ).
tcf(c_181018,plain,
( v2_membered(k1_zfmisc_1(k1_numbers))
| v2_membered(sK92(k1_zfmisc_1(k1_numbers))) ),
inference(superposition,[status(thm)],[c_172976,c_1556]) ).
tcf(c_181019,plain,
( v2_membered(k1_zfmisc_1(k1_numbers))
| v1_membered(sK92(k1_zfmisc_1(k1_numbers))) ),
inference(superposition,[status(thm)],[c_172976,c_1555]) ).
tcf(c_181022,plain,
( v2_membered(k1_zfmisc_1(k2_numbers))
| v1_membered(sK92(k1_zfmisc_1(k2_numbers))) ),
inference(superposition,[status(thm)],[c_172976,c_3643]) ).
tcf(c_181025,plain,
v1_membered(sK92(k1_zfmisc_1(k1_numbers))),
inference(forward_subsumption_resolution,[status(thm)],[c_181019,c_168993]) ).
tcf(c_181026,plain,
v2_membered(sK92(k1_zfmisc_1(k1_numbers))),
inference(forward_subsumption_resolution,[status(thm)],[c_181018,c_168993]) ).
tcf(c_181049,plain,
! [X0: $i] :
( v1_membered(X0)
| v1_xcmplx_0(sK92(X0))
| ~ v2_membered(X0) ),
inference(superposition,[status(thm)],[c_173002,c_1550]) ).
tcf(c_181050,plain,
! [X0: $i] :
( v1_membered(X0)
| v1_xboole_0(sK92(X0))
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_173002,c_590]) ).
tcf(c_181051,plain,
! [X0: $i] :
( v1_membered(X0)
| v1_xboole_0(X0)
| r2_hidden(sK92(X0),X0) ),
inference(superposition,[status(thm)],[c_173002,c_588]) ).
tcf(c_181053,plain,
! [X0: $i,X1: $i] :
( v1_membered(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| v1_relat_1(sK92(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))) ),
inference(superposition,[status(thm)],[c_173002,c_612]) ).
tcf(c_181063,plain,
( v1_membered(k1_zfmisc_1(k3_numbers))
| v3_membered(sK92(k1_zfmisc_1(k3_numbers))) ),
inference(superposition,[status(thm)],[c_173002,c_1510]) ).
tcf(c_181064,plain,
( v1_membered(k1_zfmisc_1(k3_numbers))
| v2_membered(sK92(k1_zfmisc_1(k3_numbers))) ),
inference(superposition,[status(thm)],[c_173002,c_1509]) ).
tcf(c_181065,plain,
( v1_membered(k1_zfmisc_1(k3_numbers))
| v1_membered(sK92(k1_zfmisc_1(k3_numbers))) ),
inference(superposition,[status(thm)],[c_173002,c_1508]) ).
tcf(c_181070,plain,
( v1_membered(k1_zfmisc_1(k2_numbers))
| v1_membered(sK92(k1_zfmisc_1(k2_numbers))) ),
inference(superposition,[status(thm)],[c_173002,c_3643]) ).
tcf(c_181071,plain,
v1_membered(sK92(k1_zfmisc_1(k2_numbers))),
inference(forward_subsumption_resolution,[status(thm)],[c_181070,c_168994]) ).
tcf(c_181098,plain,
! [X0: $i,X1: $i] : k5_xboole_0(X0,k1_setfam_1(k2_tarski(X0,X1))) = k1_setfam_1(k2_tarski(X0,k5_xboole_0(X0,X1))),
inference(superposition,[status(thm)],[c_47410,c_56168]) ).
tcf(c_181099,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : k5_xboole_0(k4_xboole_0(k1_setfam_1(k2_tarski(X0,X1)),X2),k1_setfam_1(k2_tarski(k4_xboole_0(X0,X2),X3))) = k1_setfam_1(k2_tarski(k4_xboole_0(X0,X2),k5_xboole_0(X1,X3))),
inference(superposition,[status(thm)],[c_52024,c_56168]) ).
tcf(c_181100,plain,
! [X0: $i,X1: $i,X2: $i] : k5_xboole_0(k1_zfmisc_1(k1_setfam_1(k2_tarski(X0,X1))),k1_setfam_1(k2_tarski(k1_zfmisc_1(X0),X2))) = k1_setfam_1(k2_tarski(k1_zfmisc_1(X0),k5_xboole_0(k1_zfmisc_1(X1),X2))),
inference(superposition,[status(thm)],[c_52026,c_56168]) ).
tcf(c_181101,plain,
! [X0: $i,X1: $i,X2: $i] : k5_xboole_0(k5_finsub_1(k1_setfam_1(k2_tarski(X0,X1))),k1_setfam_1(k2_tarski(k5_finsub_1(X0),X2))) = k1_setfam_1(k2_tarski(k5_finsub_1(X0),k5_xboole_0(k5_finsub_1(X1),X2))),
inference(superposition,[status(thm)],[c_52028,c_56168]) ).
tcf(c_181102,plain,
! [X0: $i,X1: $i] : k5_xboole_0(np__0,k1_setfam_1(k2_tarski(X0,X1))) = k1_setfam_1(k2_tarski(X0,k5_xboole_0(np__0,X1))),
inference(superposition,[status(thm)],[c_160609,c_56168]) ).
tcf(c_181103,plain,
! [X0: $i,X1: $i] : k1_setfam_1(k2_tarski(np__0,k5_xboole_0(X0,X1))) = k5_xboole_0(np__0,k1_setfam_1(k2_tarski(np__0,X1))),
inference(superposition,[status(thm)],[c_160608,c_56168]) ).
tcf(c_181105,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X1 )
| ( k5_xboole_0(k1_setfam_1(k4_xboole_0(k2_tarski(X0,X1),k2_tarski(X1,X1))),k1_setfam_1(k2_tarski(X0,X2))) = k1_setfam_1(k2_tarski(X0,k5_xboole_0(X0,X2))) ) ),
inference(superposition,[status(thm)],[c_54771,c_56168]) ).
tcf(c_181106,plain,
! [X0: $i,X1: $i,X2: $i] : k5_xboole_0(k1_setfam_1(k2_tarski(X0,X1)),k1_setfam_1(k2_tarski(X1,X2))) = k1_setfam_1(k2_tarski(X1,k5_xboole_0(X0,X2))),
inference(superposition,[status(thm)],[c_2707,c_56168]) ).
tcf(c_181107,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = np__0 )
| ( k5_xboole_0(k1_setfam_1(k2_relat_1(sK46(X0,X1))),k1_setfam_1(k2_tarski(X1,X2))) = k1_setfam_1(k2_tarski(X1,k5_xboole_0(X1,X2))) ) ),
inference(superposition,[status(thm)],[c_51182,c_56168]) ).
tcf(c_181108,plain,
! [X0: $i] : k5_xboole_0(k1_setfam_1(k1_zfmisc_1(np__0)),k1_setfam_1(k2_tarski(np__0,X0))) = k1_setfam_1(k2_tarski(np__0,k5_xboole_0(np__0,X0))),
inference(superposition,[status(thm)],[c_47417,c_56168]) ).
tcf(c_181109,plain,
! [X0: $i,X1: $i] : k5_xboole_0(k1_setfam_1(k1_zfmisc_1(k2_tarski(X0,X0))),k1_setfam_1(k2_tarski(np__0,X1))) = k1_setfam_1(k2_tarski(np__0,k5_xboole_0(k2_tarski(X0,X0),X1))),
inference(superposition,[status(thm)],[c_50679,c_56168]) ).
tcf(c_181110,plain,
! [X0: $i,X1: $i] : k5_xboole_0(k1_setfam_1(k2_tarski(X0,X1)),X0) = k1_setfam_1(k2_tarski(X0,k5_xboole_0(X1,X0))),
inference(superposition,[status(thm)],[c_47410,c_56168]) ).
tcf(c_181111,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : k5_xboole_0(k1_setfam_1(k2_tarski(k4_xboole_0(X0,X1),X2)),k4_xboole_0(k1_setfam_1(k2_tarski(X0,X3)),X1)) = k1_setfam_1(k2_tarski(k4_xboole_0(X0,X1),k5_xboole_0(X2,X3))),
inference(superposition,[status(thm)],[c_52024,c_56168]) ).
tcf(c_181112,plain,
! [X0: $i,X1: $i,X2: $i] : k5_xboole_0(k1_setfam_1(k2_tarski(k1_zfmisc_1(X0),X1)),k1_zfmisc_1(k1_setfam_1(k2_tarski(X0,X2)))) = k1_setfam_1(k2_tarski(k1_zfmisc_1(X0),k5_xboole_0(X1,k1_zfmisc_1(X2)))),
inference(superposition,[status(thm)],[c_52026,c_56168]) ).
tcf(c_181113,plain,
! [X0: $i,X1: $i,X2: $i] : k5_xboole_0(k1_setfam_1(k2_tarski(k5_finsub_1(X0),X1)),k5_finsub_1(k1_setfam_1(k2_tarski(X0,X2)))) = k1_setfam_1(k2_tarski(k5_finsub_1(X0),k5_xboole_0(X1,k5_finsub_1(X2)))),
inference(superposition,[status(thm)],[c_52028,c_56168]) ).
tcf(c_181114,plain,
! [X0: $i,X1: $i] : k5_xboole_0(k1_setfam_1(k2_tarski(X0,X1)),np__0) = k1_setfam_1(k2_tarski(X0,k5_xboole_0(X1,np__0))),
inference(superposition,[status(thm)],[c_160609,c_56168]) ).
tcf(c_181115,plain,
! [X0: $i,X1: $i] : k1_setfam_1(k2_tarski(np__0,k5_xboole_0(X0,X1))) = k5_xboole_0(k1_setfam_1(k2_tarski(np__0,X0)),np__0),
inference(superposition,[status(thm)],[c_160608,c_56168]) ).
tcf(c_181117,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X2 )
| ( k5_xboole_0(k1_setfam_1(k2_tarski(X0,X1)),k1_setfam_1(k4_xboole_0(k2_tarski(X0,X2),k2_tarski(X2,X2)))) = k1_setfam_1(k2_tarski(X0,k5_xboole_0(X1,X0))) ) ),
inference(superposition,[status(thm)],[c_54771,c_56168]) ).
tcf(c_181118,plain,
! [X0: $i,X1: $i,X2: $i] : k5_xboole_0(k1_setfam_1(k2_tarski(X0,X1)),k1_setfam_1(k2_tarski(X2,X0))) = k1_setfam_1(k2_tarski(X0,k5_xboole_0(X1,X2))),
inference(superposition,[status(thm)],[c_2707,c_56168]) ).
tcf(c_181119,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2 = np__0 )
| ( k5_xboole_0(k1_setfam_1(k2_tarski(X0,X1)),k1_setfam_1(k2_relat_1(sK46(X2,X0)))) = k1_setfam_1(k2_tarski(X0,k5_xboole_0(X1,X0))) ) ),
inference(superposition,[status(thm)],[c_51182,c_56168]) ).
tcf(c_181120,plain,
! [X0: $i] : k5_xboole_0(k1_setfam_1(k2_tarski(np__0,X0)),k1_setfam_1(k1_zfmisc_1(np__0))) = k1_setfam_1(k2_tarski(np__0,k5_xboole_0(X0,np__0))),
inference(superposition,[status(thm)],[c_47417,c_56168]) ).
tcf(c_181121,plain,
! [X0: $i,X1: $i] : k5_xboole_0(k1_setfam_1(k2_tarski(np__0,X0)),k1_setfam_1(k1_zfmisc_1(k2_tarski(X1,X1)))) = k1_setfam_1(k2_tarski(np__0,k5_xboole_0(X0,k2_tarski(X1,X1)))),
inference(superposition,[status(thm)],[c_50679,c_56168]) ).
tcf(c_181122,plain,
! [X0: $i,X1: $i,X2: $i] : k3_tarski(k2_tarski(k1_setfam_1(k2_tarski(X0,k5_xboole_0(X1,X2))),k1_setfam_1(k2_tarski(k1_setfam_1(k2_tarski(X0,X2)),k1_setfam_1(k2_tarski(X0,X1)))))) = k3_tarski(k2_tarski(k1_setfam_1(k2_tarski(X0,X1)),k1_setfam_1(k2_tarski(X0,X2)))),
inference(superposition,[status(thm)],[c_56168,c_51640]) ).
tcf(c_181123,plain,
! [X0: $i,X1: $i,X2: $i] : r1_xboole_0(k1_setfam_1(k2_tarski(k1_setfam_1(k2_tarski(X0,X1)),k1_setfam_1(k2_tarski(X0,X2)))),k1_setfam_1(k2_tarski(X0,k5_xboole_0(X1,X2)))),
inference(superposition,[status(thm)],[c_56168,c_47705]) ).
tcf(c_181124,plain,
! [X0: $i,X1: $i,X2: $i] : r1_tarski(k4_xboole_0(k1_setfam_1(k2_tarski(X0,X1)),k1_setfam_1(k2_tarski(X0,X2))),k1_setfam_1(k2_tarski(X0,k5_xboole_0(X1,X2)))),
inference(superposition,[status(thm)],[c_56168,c_2608]) ).
tcf(c_181126,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : k5_xboole_0(k1_setfam_1(k2_tarski(X0,X1)),k5_xboole_0(k1_setfam_1(k2_tarski(X0,X2)),X3)) = k5_xboole_0(k1_setfam_1(k2_tarski(X0,k5_xboole_0(X1,X2))),X3),
inference(superposition,[status(thm)],[c_56168,c_2613]) ).
tcf(c_181127,plain,
! [X0: $i,X1: $i] : k1_setfam_1(k2_tarski(X0,k5_xboole_0(X1,X1))) = np__0,
inference(superposition,[status(thm)],[c_56168,c_2612]) ).
tcf(c_181128,plain,
! [X0: $i,X1: $i,X2: $i] : k5_xboole_0(k1_setfam_1(k2_tarski(X0,X1)),k1_setfam_1(k2_tarski(X0,X2))) = k1_setfam_1(k2_tarski(X0,k5_xboole_0(X2,X1))),
inference(superposition,[status(thm)],[c_56168,c_2615]) ).
tcf(c_181129,plain,
! [X0: $i,X1: $i] : k1_setfam_1(k2_tarski(X0,k5_xboole_0(X1,k1_setfam_1(k2_tarski(X0,X1))))) = k4_xboole_0(k1_setfam_1(k2_tarski(X0,X1)),X0),
inference(superposition,[status(thm)],[c_56168,c_48956]) ).
tcf(c_181130,plain,
! [X0: $i,X1: $i] : k1_setfam_1(k2_tarski(np__0,k5_xboole_0(X0,X1))) = k5_xboole_0(np__0,k1_setfam_1(k2_tarski(np__0,X0))),
inference(theory_normalisation,[status(thm)],[c_181115,c_2613,c_2615]) ).
tcf(c_181131,plain,
! [X0: $i,X1: $i] : k1_setfam_1(k2_tarski(np__0,k5_xboole_0(X0,X1))) = k5_xboole_0(np__0,k4_xboole_0(np__0,np__0)),
inference(light_normalisation,[status(thm)],[c_181130,c_160599]) ).
tcf(c_181132,plain,
! [X0: $i,X1: $i] : k5_xboole_0(np__0,k1_setfam_1(k2_tarski(X0,X1))) = k1_setfam_1(k2_tarski(X0,k5_xboole_0(X1,np__0))),
inference(theory_normalisation,[status(thm)],[c_181114,c_2613,c_2615]) ).
tcf(c_181133,plain,
! [X0: $i,X1: $i] : k5_xboole_0(X0,k1_setfam_1(k2_tarski(X0,X1))) = k1_setfam_1(k2_tarski(X0,k5_xboole_0(X1,X0))),
inference(theory_normalisation,[status(thm)],[c_181110,c_2613,c_2615]) ).
tcf(c_181134,plain,
! [X0: $i,X1: $i] : k1_setfam_1(k2_tarski(X0,k5_xboole_0(X1,X0))) = k4_xboole_0(X0,X1),
inference(light_normalisation,[status(thm)],[c_181133,c_169283]) ).
tcf(c_181135,plain,
! [X0: $i,X1: $i] : k1_setfam_1(k2_tarski(X0,k5_xboole_0(X0,X1))) = k4_xboole_0(X0,X1),
inference(light_normalisation,[status(thm)],[c_181098,c_169283]) ).
tcf(c_181136,plain,
! [X0: $i,X1: $i,X2: $i] : r1_tarski(k1_setfam_1(k2_tarski(X0,k4_xboole_0(X1,X2))),k1_setfam_1(k2_tarski(X0,k5_xboole_0(X1,X2)))),
inference(light_normalisation,[status(thm)],[c_181124,c_56417]) ).
tcf(c_181137,plain,
! [X0: $i] : k5_xboole_0(k1_setfam_1(k1_zfmisc_1(np__0)),k1_setfam_1(k2_tarski(np__0,X0))) = k1_setfam_1(k2_tarski(np__0,k5_xboole_0(X0,np__0))),
inference(theory_normalisation,[status(thm)],[c_181120,c_2613,c_2615]) ).
tcf(c_181138,plain,
k5_xboole_0(np__0,k4_xboole_0(np__0,np__0)) = k4_xboole_0(np__0,np__0),
inference(light_normalisation,[status(thm)],[c_181137,c_2614,c_160599,c_165500]) ).
tcf(c_181140,plain,
! [X0: $i,X1: $i] : k1_setfam_1(k2_tarski(X0,k5_xboole_0(X1,k1_setfam_1(k2_tarski(X0,X1))))) = np__0,
inference(light_normalisation,[status(thm)],[c_181129,c_180016]) ).
tcf(c_181141,plain,
! [X0: $i,X1: $i] : k5_xboole_0(k4_xboole_0(np__0,np__0),k1_setfam_1(k1_zfmisc_1(k2_tarski(X0,X0)))) = k1_setfam_1(k2_tarski(np__0,k5_xboole_0(X1,k2_tarski(X0,X0)))),
inference(light_normalisation,[status(thm)],[c_181121,c_160599]) ).
tcf(c_181142,plain,
! [X0: $i,X1: $i] : k1_setfam_1(k2_tarski(np__0,k5_xboole_0(X0,k2_tarski(X1,X1)))) = k5_xboole_0(k4_xboole_0(np__0,np__0),np__0),
inference(light_normalisation,[status(thm)],[c_181141,c_170472]) ).
tcf(c_181143,plain,
! [X0: $i,X1: $i] : k1_setfam_1(k2_tarski(np__0,k5_xboole_0(X0,k2_tarski(X1,X1)))) = k5_xboole_0(np__0,k4_xboole_0(np__0,np__0)),
inference(theory_normalisation,[status(thm)],[c_181142,c_2613,c_2615]) ).
tcf(c_181144,plain,
! [X0: $i,X1: $i] : k1_setfam_1(k2_tarski(np__0,k5_xboole_0(k2_tarski(X0,X0),X1))) = k5_xboole_0(np__0,k1_setfam_1(k2_tarski(np__0,X1))),
inference(light_normalisation,[status(thm)],[c_181109,c_170472]) ).
tcf(c_181199,plain,
! [X0: $i] :
( r1_tarski(k5_relat_1(X0,np__0),X0)
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_2188,c_2193]) ).
tcf(c_181200,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k5_relat_1(X0,k5_relat_1(k6_partfun1(X1),k6_partfun1(X2))),X0)
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_49266,c_2193]) ).
tcf(c_181201,plain,
! [X0: $i,X1: $i] :
( v1_finset_1(k5_relat_1(X0,k6_partfun1(X1)))
| ~ v1_finset_1(X0)
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_2193,c_1686]) ).
tcf(c_181202,plain,
! [X0: $i,X1: $i] :
( v1_membered(k5_relat_1(X0,k6_partfun1(X1)))
| ~ v1_membered(X0)
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_2193,c_1573]) ).
tcf(c_181203,plain,
! [X0: $i,X1: $i] :
( v2_membered(k5_relat_1(X0,k6_partfun1(X1)))
| ~ v2_membered(X0)
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_2193,c_1527]) ).
tcf(c_181204,plain,
! [X0: $i,X1: $i] :
( v3_membered(k5_relat_1(X0,k6_partfun1(X1)))
| ~ v3_membered(X0)
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_2193,c_1484]) ).
tcf(c_181205,plain,
! [X0: $i,X1: $i] :
( v4_membered(k5_relat_1(X0,k6_partfun1(X1)))
| ~ v4_membered(X0)
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_2193,c_1427]) ).
tcf(c_181206,plain,
! [X0: $i,X1: $i] :
( v5_membered(k5_relat_1(X0,k6_partfun1(X1)))
| ~ v5_membered(X0)
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_2193,c_1335]) ).
tcf(c_181207,plain,
! [X0: $i,X1: $i] :
( v1_relat_1(k5_relat_1(X0,k6_partfun1(X1)))
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_2193,c_539]) ).
tcf(c_181208,plain,
! [X0: $i,X1: $i] :
( ~ v1_relat_1(X0)
| ~ r2_hidden(X0,k5_relat_1(X0,k6_partfun1(X1))) ),
inference(superposition,[status(thm)],[c_2193,c_538]) ).
tcf(c_181210,plain,
! [X0: $i] :
( v1_membered(k5_relat_1(k5_numbers,k6_partfun1(X0)))
| ~ v1_relat_1(k5_numbers) ),
inference(superposition,[status(thm)],[c_2193,c_167221]) ).
tcf(c_181211,plain,
! [X0: $i] :
( v2_membered(k5_relat_1(k5_numbers,k6_partfun1(X0)))
| ~ v1_relat_1(k5_numbers) ),
inference(superposition,[status(thm)],[c_2193,c_167220]) ).
tcf(c_181212,plain,
! [X0: $i] :
( v3_membered(k5_relat_1(k5_numbers,k6_partfun1(X0)))
| ~ v1_relat_1(k5_numbers) ),
inference(superposition,[status(thm)],[c_2193,c_167219]) ).
tcf(c_181213,plain,
! [X0: $i] :
( v4_membered(k5_relat_1(k5_numbers,k6_partfun1(X0)))
| ~ v1_relat_1(k5_numbers) ),
inference(superposition,[status(thm)],[c_2193,c_167218]) ).
tcf(c_181214,plain,
! [X0: $i] :
( v5_membered(k5_relat_1(k5_numbers,k6_partfun1(X0)))
| ~ v1_relat_1(k5_numbers) ),
inference(superposition,[status(thm)],[c_2193,c_167217]) ).
tcf(c_181215,plain,
! [X0: $i] :
( v1_membered(k5_relat_1(k4_numbers,k6_partfun1(X0)))
| ~ v1_relat_1(k4_numbers) ),
inference(superposition,[status(thm)],[c_2193,c_167225]) ).
tcf(c_181216,plain,
! [X0: $i] :
( v2_membered(k5_relat_1(k4_numbers,k6_partfun1(X0)))
| ~ v1_relat_1(k4_numbers) ),
inference(superposition,[status(thm)],[c_2193,c_167224]) ).
tcf(c_181217,plain,
! [X0: $i] :
( v3_membered(k5_relat_1(k4_numbers,k6_partfun1(X0)))
| ~ v1_relat_1(k4_numbers) ),
inference(superposition,[status(thm)],[c_2193,c_167223]) ).
tcf(c_181218,plain,
! [X0: $i] :
( v4_membered(k5_relat_1(k4_numbers,k6_partfun1(X0)))
| ~ v1_relat_1(k4_numbers) ),
inference(superposition,[status(thm)],[c_2193,c_167222]) ).
tcf(c_181219,plain,
! [X0: $i] :
( v1_membered(k5_relat_1(k3_numbers,k6_partfun1(X0)))
| ~ v1_relat_1(k3_numbers) ),
inference(superposition,[status(thm)],[c_2193,c_167228]) ).
tcf(c_181220,plain,
! [X0: $i] :
( v2_membered(k5_relat_1(k3_numbers,k6_partfun1(X0)))
| ~ v1_relat_1(k3_numbers) ),
inference(superposition,[status(thm)],[c_2193,c_167227]) ).
tcf(c_181221,plain,
! [X0: $i] :
( v3_membered(k5_relat_1(k3_numbers,k6_partfun1(X0)))
| ~ v1_relat_1(k3_numbers) ),
inference(superposition,[status(thm)],[c_2193,c_167226]) ).
tcf(c_181222,plain,
! [X0: $i] :
( v1_membered(k5_relat_1(k1_numbers,k6_partfun1(X0)))
| ~ v1_relat_1(k1_numbers) ),
inference(superposition,[status(thm)],[c_2193,c_167230]) ).
tcf(c_181223,plain,
! [X0: $i] :
( v2_membered(k5_relat_1(k1_numbers,k6_partfun1(X0)))
| ~ v1_relat_1(k1_numbers) ),
inference(superposition,[status(thm)],[c_2193,c_167229]) ).
tcf(c_181224,plain,
! [X0: $i] :
( v1_membered(k5_relat_1(k2_numbers,k6_partfun1(X0)))
| ~ v1_relat_1(k2_numbers) ),
inference(superposition,[status(thm)],[c_2193,c_167231]) ).
tcf(c_181328,plain,
! [X0: $i] :
( r1_tarski(k5_relat_1(np__0,X0),X0)
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_2188,c_2194]) ).
tcf(c_181329,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k5_relat_1(k5_relat_1(k6_partfun1(X1),k6_partfun1(X2)),X0),X0)
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_49266,c_2194]) ).
tcf(c_181330,plain,
! [X0: $i,X1: $i] :
( v1_finset_1(k5_relat_1(k6_partfun1(X1),X0))
| ~ v1_finset_1(X0)
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_2194,c_1686]) ).
tcf(c_181331,plain,
! [X0: $i,X1: $i] :
( v1_membered(k5_relat_1(k6_partfun1(X1),X0))
| ~ v1_membered(X0)
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_2194,c_1573]) ).
tcf(c_181332,plain,
! [X0: $i,X1: $i] :
( v2_membered(k5_relat_1(k6_partfun1(X1),X0))
| ~ v2_membered(X0)
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_2194,c_1527]) ).
tcf(c_181333,plain,
! [X0: $i,X1: $i] :
( v3_membered(k5_relat_1(k6_partfun1(X1),X0))
| ~ v3_membered(X0)
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_2194,c_1484]) ).
tcf(c_181334,plain,
! [X0: $i,X1: $i] :
( v4_membered(k5_relat_1(k6_partfun1(X1),X0))
| ~ v4_membered(X0)
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_2194,c_1427]) ).
tcf(c_181335,plain,
! [X0: $i,X1: $i] :
( v5_membered(k5_relat_1(k6_partfun1(X1),X0))
| ~ v5_membered(X0)
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_2194,c_1335]) ).
tcf(c_181336,plain,
! [X0: $i,X1: $i] :
( v1_relat_1(k5_relat_1(k6_partfun1(X1),X0))
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_2194,c_539]) ).
tcf(c_181337,plain,
! [X0: $i,X1: $i] :
( ~ v1_relat_1(X0)
| ~ r2_hidden(X0,k5_relat_1(k6_partfun1(X1),X0)) ),
inference(superposition,[status(thm)],[c_2194,c_538]) ).
tcf(c_181339,plain,
! [X0: $i] :
( v1_membered(k5_relat_1(k6_partfun1(X0),k5_numbers))
| ~ v1_relat_1(k5_numbers) ),
inference(superposition,[status(thm)],[c_2194,c_167221]) ).
tcf(c_181340,plain,
! [X0: $i] :
( v2_membered(k5_relat_1(k6_partfun1(X0),k5_numbers))
| ~ v1_relat_1(k5_numbers) ),
inference(superposition,[status(thm)],[c_2194,c_167220]) ).
tcf(c_181341,plain,
! [X0: $i] :
( v3_membered(k5_relat_1(k6_partfun1(X0),k5_numbers))
| ~ v1_relat_1(k5_numbers) ),
inference(superposition,[status(thm)],[c_2194,c_167219]) ).
tcf(c_181342,plain,
! [X0: $i] :
( v4_membered(k5_relat_1(k6_partfun1(X0),k5_numbers))
| ~ v1_relat_1(k5_numbers) ),
inference(superposition,[status(thm)],[c_2194,c_167218]) ).
tcf(c_181343,plain,
! [X0: $i] :
( v5_membered(k5_relat_1(k6_partfun1(X0),k5_numbers))
| ~ v1_relat_1(k5_numbers) ),
inference(superposition,[status(thm)],[c_2194,c_167217]) ).
tcf(c_181344,plain,
! [X0: $i] :
( v1_membered(k5_relat_1(k6_partfun1(X0),k4_numbers))
| ~ v1_relat_1(k4_numbers) ),
inference(superposition,[status(thm)],[c_2194,c_167225]) ).
tcf(c_181345,plain,
! [X0: $i] :
( v2_membered(k5_relat_1(k6_partfun1(X0),k4_numbers))
| ~ v1_relat_1(k4_numbers) ),
inference(superposition,[status(thm)],[c_2194,c_167224]) ).
tcf(c_181346,plain,
! [X0: $i] :
( v3_membered(k5_relat_1(k6_partfun1(X0),k4_numbers))
| ~ v1_relat_1(k4_numbers) ),
inference(superposition,[status(thm)],[c_2194,c_167223]) ).
tcf(c_181347,plain,
! [X0: $i] :
( v4_membered(k5_relat_1(k6_partfun1(X0),k4_numbers))
| ~ v1_relat_1(k4_numbers) ),
inference(superposition,[status(thm)],[c_2194,c_167222]) ).
tcf(c_181348,plain,
! [X0: $i] :
( v1_membered(k5_relat_1(k6_partfun1(X0),k3_numbers))
| ~ v1_relat_1(k3_numbers) ),
inference(superposition,[status(thm)],[c_2194,c_167228]) ).
tcf(c_181349,plain,
! [X0: $i] :
( v2_membered(k5_relat_1(k6_partfun1(X0),k3_numbers))
| ~ v1_relat_1(k3_numbers) ),
inference(superposition,[status(thm)],[c_2194,c_167227]) ).
tcf(c_181350,plain,
! [X0: $i] :
( v3_membered(k5_relat_1(k6_partfun1(X0),k3_numbers))
| ~ v1_relat_1(k3_numbers) ),
inference(superposition,[status(thm)],[c_2194,c_167226]) ).
tcf(c_181351,plain,
! [X0: $i] :
( v1_membered(k5_relat_1(k6_partfun1(X0),k1_numbers))
| ~ v1_relat_1(k1_numbers) ),
inference(superposition,[status(thm)],[c_2194,c_167230]) ).
tcf(c_181352,plain,
! [X0: $i] :
( v2_membered(k5_relat_1(k6_partfun1(X0),k1_numbers))
| ~ v1_relat_1(k1_numbers) ),
inference(superposition,[status(thm)],[c_2194,c_167229]) ).
tcf(c_181353,plain,
! [X0: $i] :
( v1_membered(k5_relat_1(k6_partfun1(X0),k2_numbers))
| ~ v1_relat_1(k2_numbers) ),
inference(superposition,[status(thm)],[c_2194,c_167231]) ).
tcf(c_181461,plain,
! [X0: $i,X1: $i] :
( ( X0 = np__0 )
| ( k5_relat_1(np__0,sK46(X0,X1)) = np__0 ) ),
inference(superposition,[status(thm)],[c_100,c_2269]) ).
tcf(c_181462,plain,
k5_relat_1(np__0,sK84) = np__0,
inference(superposition,[status(thm)],[c_579,c_2269]) ).
tcf(c_181464,plain,
! [X0: $i,X1: $i] : k5_relat_1(np__0,k2_zfmisc_1(X0,X1)) = np__0,
inference(superposition,[status(thm)],[c_613,c_2269]) ).
tcf(c_181465,plain,
! [X0: $i] :
( ( X0 = np__0 )
| ( k5_relat_1(np__0,sK112(X0)) = np__0 ) ),
inference(superposition,[status(thm)],[c_690,c_2269]) ).
tcf(c_181466,plain,
! [X0: $i] :
( ( X0 = np__0 )
| ( k5_relat_1(np__0,sK111(X0)) = np__0 ) ),
inference(superposition,[status(thm)],[c_692,c_2269]) ).
tcf(c_181467,plain,
! [X0: $i,X1: $i] :
( ( X0 = np__0 )
| ( k5_relat_1(np__0,sK115(X0,X1)) = np__0 ) ),
inference(superposition,[status(thm)],[c_720,c_2269]) ).
tcf(c_181468,plain,
! [X0: $i] :
( ( k5_relat_1(np__0,k2_relat_1(X0)) = np__0 )
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_745,c_2269]) ).
tcf(c_181469,plain,
k5_relat_1(np__0,sK121) = np__0,
inference(superposition,[status(thm)],[c_747,c_2269]) ).
tcf(c_181470,plain,
! [X0: $i] :
( ( k5_relat_1(np__0,k1_relat_1(X0)) = np__0 )
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_751,c_2269]) ).
tcf(c_181471,plain,
! [X0: $i,X1: $i] :
( ( k5_relat_1(np__0,k1_realset1(X0,X1)) = np__0 )
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_1004,c_2269]) ).
tcf(c_181472,plain,
k5_relat_1(np__0,sK261) = np__0,
inference(superposition,[status(thm)],[c_1665,c_2269]) ).
tcf(c_181473,plain,
! [X0: $i,X1: $i] :
( ( k5_relat_1(np__0,k4_xboole_0(X0,X1)) = np__0 )
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_1711,c_2269]) ).
tcf(c_181474,plain,
! [X0: $i,X1: $i] :
( ( k5_relat_1(np__0,k7_relat_1(X0,X1)) = np__0 )
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_2035,c_2269]) ).
tcf(c_181475,plain,
! [X0: $i,X1: $i] : k5_relat_1(np__0,sK333(X0,X1)) = np__0,
inference(superposition,[status(thm)],[c_2114,c_2269]) ).
tcf(c_181476,plain,
! [X0: $i,X1: $i] : k5_relat_1(np__0,sK334(X0,X1)) = np__0,
inference(superposition,[status(thm)],[c_2118,c_2269]) ).
tcf(c_181480,plain,
k5_relat_1(np__0,sK448) = np__0,
inference(superposition,[status(thm)],[c_2875,c_2269]) ).
tcf(c_181481,plain,
! [X0: $i,X1: $i] :
( ( k5_relat_1(np__0,k8_relat_1(X1,X0)) = np__0 )
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_3291,c_2269]) ).
tcf(c_181482,plain,
! [X0: $i] :
( ( k5_relat_1(np__0,sK522(X0)) = np__0 )
| ~ v1_finset_1(X0) ),
inference(superposition,[status(thm)],[c_3331,c_2269]) ).
tcf(c_181483,plain,
k5_relat_1(np__0,sK523) = np__0,
inference(superposition,[status(thm)],[c_3343,c_2269]) ).
tcf(c_181484,plain,
! [X0: $i] : k5_relat_1(np__0,sK524(X0)) = np__0,
inference(superposition,[status(thm)],[c_3348,c_2269]) ).
tcf(c_181485,plain,
k5_relat_1(np__0,sK525) = np__0,
inference(superposition,[status(thm)],[c_3353,c_2269]) ).
tcf(c_181486,plain,
! [X0: $i] :
( ( k5_relat_1(np__0,k4_relat_1(X0)) = np__0 )
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_3389,c_2269]) ).
tcf(c_181487,plain,
! [X0: $i] :
( ( k5_relat_1(np__0,k4_relat_1(X0)) = np__0 )
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_3373,c_2269]) ).
tcf(c_181488,plain,
! [X0: $i,X1: $i] :
( ( k5_relat_1(np__0,sK569(X0,X1)) = np__0 )
| ~ sP37(X0,X1) ),
inference(superposition,[status(thm)],[c_3727,c_2269]) ).
tcf(c_181489,plain,
! [X0: $i,X1: $i] :
( ( k5_relat_1(np__0,k1_setfam_1(k2_tarski(X1,X0))) = np__0 )
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_47707,c_2269]) ).
tcf(c_181490,plain,
! [X0: $i] :
( ( k5_relat_1(np__0,k1_pre_topc(X0)) = np__0 )
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_160937,c_2269]) ).
tcf(c_181491,plain,
! [X0: $i] :
( ( k5_relat_1(np__0,k1_pre_topc(X0)) = np__0 )
| ~ l1_struct_0(X0) ),
inference(superposition,[status(thm)],[c_159838,c_2269]) ).
tcf(c_181492,plain,
( ( k5_relat_1(np__0,k1_tops_1(sK39,np__0)) = np__0 )
| ~ l1_pre_topc(sK39) ),
inference(superposition,[status(thm)],[c_167019,c_2269]) ).
tcf(c_181493,plain,
! [X0: $i,X1: $i] : k5_relat_1(np__0,k5_relat_1(k6_partfun1(X0),k6_partfun1(X1))) = np__0,
inference(superposition,[status(thm)],[c_169449,c_2269]) ).
tcf(c_181494,plain,
( ( k5_relat_1(np__0,sK92(k1_zfmisc_1(u1_struct_0(sK39)))) = np__0 )
| ~ v1_relat_1(u1_struct_0(sK39)) ),
inference(superposition,[status(thm)],[c_174649,c_2269]) ).
tcf(c_181607,plain,
! [X0: $i] :
( v1_realset1(X0)
| v1_xcmplx_0(sK92(X0))
| ~ v2_membered(X0) ),
inference(superposition,[status(thm)],[c_173028,c_1550]) ).
tcf(c_181608,plain,
! [X0: $i] :
( v1_realset1(X0)
| v1_xboole_0(sK92(X0))
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_173028,c_590]) ).
tcf(c_181609,plain,
! [X0: $i] :
( v1_realset1(X0)
| v1_xboole_0(X0)
| r2_hidden(sK92(X0),X0) ),
inference(superposition,[status(thm)],[c_173028,c_588]) ).
tcf(c_181611,plain,
! [X0: $i,X1: $i] :
( v1_realset1(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| v1_relat_1(sK92(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))) ),
inference(superposition,[status(thm)],[c_173028,c_612]) ).
tcf(c_181621,plain,
( v1_realset1(k1_zfmisc_1(k3_numbers))
| v3_membered(sK92(k1_zfmisc_1(k3_numbers))) ),
inference(superposition,[status(thm)],[c_173028,c_1510]) ).
tcf(c_181622,plain,
( v1_realset1(k1_zfmisc_1(k3_numbers))
| v2_membered(sK92(k1_zfmisc_1(k3_numbers))) ),
inference(superposition,[status(thm)],[c_173028,c_1509]) ).
tcf(c_181623,plain,
( v1_realset1(k1_zfmisc_1(k3_numbers))
| v1_membered(sK92(k1_zfmisc_1(k3_numbers))) ),
inference(superposition,[status(thm)],[c_173028,c_1508]) ).
tcf(c_181665,plain,
! [X0: $i] :
( v3_ordinal1(X0)
| v1_xcmplx_0(sK92(X0))
| ~ v2_membered(X0) ),
inference(superposition,[status(thm)],[c_173088,c_1550]) ).
tcf(c_181666,plain,
! [X0: $i] :
( v3_ordinal1(X0)
| v1_xboole_0(sK92(X0))
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_173088,c_590]) ).
tcf(c_181667,plain,
! [X0: $i] :
( v3_ordinal1(X0)
| v1_xboole_0(X0)
| r2_hidden(sK92(X0),X0) ),
inference(superposition,[status(thm)],[c_173088,c_588]) ).
tcf(c_181669,plain,
! [X0: $i,X1: $i] :
( v3_ordinal1(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| v1_relat_1(sK92(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))) ),
inference(superposition,[status(thm)],[c_173088,c_612]) ).
tcf(c_181679,plain,
( v3_ordinal1(k1_zfmisc_1(k3_numbers))
| v3_membered(sK92(k1_zfmisc_1(k3_numbers))) ),
inference(superposition,[status(thm)],[c_173088,c_1510]) ).
tcf(c_181680,plain,
( v3_ordinal1(k1_zfmisc_1(k3_numbers))
| v2_membered(sK92(k1_zfmisc_1(k3_numbers))) ),
inference(superposition,[status(thm)],[c_173088,c_1509]) ).
tcf(c_181681,plain,
( v3_ordinal1(k1_zfmisc_1(k3_numbers))
| v1_membered(sK92(k1_zfmisc_1(k3_numbers))) ),
inference(superposition,[status(thm)],[c_173088,c_1508]) ).
tcf(c_181733,plain,
! [X0: $i] :
( v4_finsub_1(X0)
| v1_xcmplx_0(sK92(X0))
| ~ v2_membered(X0) ),
inference(superposition,[status(thm)],[c_173374,c_1550]) ).
tcf(c_181734,plain,
! [X0: $i] :
( v4_finsub_1(X0)
| v1_xboole_0(sK92(X0))
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_173374,c_590]) ).
tcf(c_181735,plain,
! [X0: $i] :
( v4_finsub_1(X0)
| v1_xboole_0(X0)
| r2_hidden(sK92(X0),X0) ),
inference(superposition,[status(thm)],[c_173374,c_588]) ).
tcf(c_181737,plain,
! [X0: $i,X1: $i] :
( v4_finsub_1(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| v1_relat_1(sK92(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))) ),
inference(superposition,[status(thm)],[c_173374,c_612]) ).
tcf(c_181747,plain,
( v4_finsub_1(k1_zfmisc_1(k3_numbers))
| v3_membered(sK92(k1_zfmisc_1(k3_numbers))) ),
inference(superposition,[status(thm)],[c_173374,c_1510]) ).
tcf(c_181748,plain,
( v4_finsub_1(k1_zfmisc_1(k3_numbers))
| v2_membered(sK92(k1_zfmisc_1(k3_numbers))) ),
inference(superposition,[status(thm)],[c_173374,c_1509]) ).
tcf(c_181749,plain,
( v4_finsub_1(k1_zfmisc_1(k3_numbers))
| v1_membered(sK92(k1_zfmisc_1(k3_numbers))) ),
inference(superposition,[status(thm)],[c_173374,c_1508]) ).
tcf(c_181766,plain,
( v4_finsub_1(k1_zfmisc_1(np__0))
| m1_subset_1(np__0,k1_zfmisc_1(np__0)) ),
inference(superposition,[status(thm)],[c_173426,c_173374]) ).
tcf(c_181767,plain,
( v3_ordinal1(k1_zfmisc_1(np__0))
| m1_subset_1(np__0,k1_zfmisc_1(np__0)) ),
inference(superposition,[status(thm)],[c_173426,c_173088]) ).
tcf(c_181771,plain,
( v4_membered(k1_zfmisc_1(np__0))
| m1_subset_1(np__0,k1_zfmisc_1(np__0)) ),
inference(superposition,[status(thm)],[c_173426,c_172725]) ).
tcf(c_181772,plain,
( v5_membered(k1_zfmisc_1(np__0))
| m1_subset_1(np__0,k1_zfmisc_1(np__0)) ),
inference(superposition,[status(thm)],[c_173426,c_172664]) ).
tcf(c_181773,plain,
( v1_relat_1(k1_zfmisc_1(np__0))
| m1_subset_1(np__0,k1_zfmisc_1(np__0)) ),
inference(superposition,[status(thm)],[c_173426,c_172427]) ).
tcf(c_181774,plain,
( v4_finsub_1(k1_zfmisc_1(np__0))
| r2_hidden(np__0,k1_zfmisc_1(np__0)) ),
inference(superposition,[status(thm)],[c_173426,c_167549]) ).
tcf(c_181775,plain,
( v3_ordinal1(k1_zfmisc_1(np__0))
| r2_hidden(np__0,k1_zfmisc_1(np__0)) ),
inference(superposition,[status(thm)],[c_173426,c_167548]) ).
tcf(c_181779,plain,
( v4_membered(k1_zfmisc_1(np__0))
| r2_hidden(np__0,k1_zfmisc_1(np__0)) ),
inference(superposition,[status(thm)],[c_173426,c_167531]) ).
tcf(c_181780,plain,
( v5_membered(k1_zfmisc_1(np__0))
| r2_hidden(np__0,k1_zfmisc_1(np__0)) ),
inference(superposition,[status(thm)],[c_173426,c_167529]) ).
tcf(c_181781,plain,
( v1_relat_1(k1_zfmisc_1(np__0))
| r2_hidden(np__0,k1_zfmisc_1(np__0)) ),
inference(superposition,[status(thm)],[c_173426,c_167527]) ).
tcf(c_181782,plain,
( v3_struct_0(sK45)
| ~ l1_struct_0(sK45)
| ~ v1_xboole_0(u1_struct_0(sK45)) ),
inference(superposition,[status(thm)],[c_173752,c_356]) ).
tcf(c_181783,plain,
( m1_subset_1(u1_struct_0(sK45),k1_zfmisc_1(u1_struct_0(sK45)))
| ~ l1_struct_0(sK45) ),
inference(superposition,[status(thm)],[c_173752,c_341]) ).
tcf(c_181784,plain,
m1_subset_1(u1_struct_0(sK45),k1_zfmisc_1(u1_struct_0(sK45))),
inference(forward_subsumption_resolution,[status(thm)],[c_181783,c_67]) ).
tcf(c_181785,plain,
( v3_struct_0(sK45)
| ~ v1_xboole_0(u1_struct_0(sK45)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_181782,c_67]) ).
tcf(c_181788,plain,
( v3_struct_0(sK49)
| ~ l1_struct_0(sK49)
| ~ v1_xboole_0(u1_struct_0(sK49)) ),
inference(superposition,[status(thm)],[c_173753,c_356]) ).
tcf(c_181789,plain,
( m1_subset_1(u1_struct_0(sK49),k1_zfmisc_1(u1_struct_0(sK49)))
| ~ l1_struct_0(sK49) ),
inference(superposition,[status(thm)],[c_173753,c_341]) ).
tcf(c_181790,plain,
m1_subset_1(u1_struct_0(sK49),k1_zfmisc_1(u1_struct_0(sK49))),
inference(forward_subsumption_resolution,[status(thm)],[c_181789,c_153]) ).
tcf(c_181791,plain,
( v3_struct_0(sK49)
| ~ v1_xboole_0(u1_struct_0(sK49)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_181788,c_153]) ).
tcf(c_181801,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X2 )
| ( X0 = X1 )
| ( k4_xboole_0(k4_xboole_0(k2_tarski(X0,X1),k2_tarski(X1,X1)),k2_tarski(X2,X2)) = k4_xboole_0(k2_tarski(X0,X1),k2_tarski(X1,X1)) ) ),
inference(superposition,[status(thm)],[c_54771,c_56249]) ).
tcf(c_181802,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X2 )
| ( X0 = np__0 )
| ( k4_xboole_0(k2_relat_1(sK46(X0,X1)),k2_tarski(X2,X2)) = k2_relat_1(sK46(X0,X1)) ) ),
inference(superposition,[status(thm)],[c_51182,c_56249]) ).
tcf(c_181803,plain,
! [X0: $i] :
( ( X0 = np__0 )
| ( k4_xboole_0(k1_zfmisc_1(np__0),k2_tarski(X0,X0)) = k1_zfmisc_1(np__0) ) ),
inference(superposition,[status(thm)],[c_47417,c_56249]) ).
tcf(c_181804,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X2 )
| ( X0 = X1 )
| ( k4_xboole_0(k2_tarski(X0,X0),k4_xboole_0(k2_tarski(X1,X2),k2_tarski(X2,X2))) = k2_tarski(X0,X0) ) ),
inference(superposition,[status(thm)],[c_54771,c_56249]) ).
tcf(c_181805,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = np__0 )
| ( X0 = X2 )
| ( k4_xboole_0(k2_tarski(X0,X0),k2_relat_1(sK46(X1,X2))) = k2_tarski(X0,X0) ) ),
inference(superposition,[status(thm)],[c_51182,c_56249]) ).
tcf(c_181806,plain,
! [X0: $i] :
( ( X0 = np__0 )
| ( k4_xboole_0(k2_tarski(X0,X0),k1_zfmisc_1(np__0)) = k2_tarski(X0,X0) ) ),
inference(superposition,[status(thm)],[c_47417,c_56249]) ).
tcf(c_181807,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X2 )
| ( k3_tarski(k2_tarski(k2_tarski(X0,X0),k4_xboole_0(k2_tarski(X0,X0),X1))) = k4_xboole_0(k2_tarski(X0,X0),k1_setfam_1(k2_tarski(X1,k2_tarski(X2,X2)))) ) ),
inference(superposition,[status(thm)],[c_56249,c_52809]) ).
tcf(c_181808,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X2 )
| ( k3_tarski(k2_tarski(k2_tarski(X0,X0),k1_setfam_1(k2_tarski(X1,k2_tarski(X0,X0))))) = k4_xboole_0(k2_tarski(X0,X0),k4_xboole_0(k2_tarski(X2,X2),X1)) ) ),
inference(superposition,[status(thm)],[c_56249,c_52807]) ).
tcf(c_181809,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ r2_hidden(k2_tarski(X0,X0),k2_tarski(X0,X0)) ),
inference(superposition,[status(thm)],[c_56249,c_167156]) ).
tcf(c_181810,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( k1_setfam_1(k2_tarski(k2_tarski(X0,X0),k2_tarski(X1,X1))) = k4_xboole_0(k2_tarski(X1,X1),k2_tarski(X1,X1)) ) ),
inference(superposition,[status(thm)],[c_56249,c_48896]) ).
tcf(c_181811,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k4_xboole_0(k2_tarski(X0,X0),X2),k2_tarski(X0,X0))
| ( X0 = X1 ) ),
inference(superposition,[status(thm)],[c_56249,c_159540]) ).
tcf(c_181812,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k2_tarski(X0,X0),k5_xboole_0(k2_tarski(X0,X0),k2_tarski(X1,X1)))
| ( X0 = X1 ) ),
inference(superposition,[status(thm)],[c_56249,c_2608]) ).
tcf(c_181813,plain,
! [X0: $i,X1: $i] :
( r1_xboole_0(k2_tarski(X0,X0),k4_xboole_0(k2_tarski(X1,X1),k2_tarski(X0,X0)))
| ( X0 = X1 ) ),
inference(superposition,[status(thm)],[c_56249,c_2447]) ).
tcf(c_181818,plain,
! [X0: $i,X1: $i] :
( v1_membered(k2_tarski(X0,X0))
| ( X0 = X1 )
| ~ v2_membered(k2_tarski(X0,X0)) ),
inference(superposition,[status(thm)],[c_56249,c_1536]) ).
tcf(c_181820,plain,
! [X0: $i,X1: $i] :
( v2_membered(k2_tarski(X0,X0))
| ( X0 = X1 )
| ~ v3_membered(k2_tarski(X0,X0)) ),
inference(superposition,[status(thm)],[c_56249,c_1490]) ).
tcf(c_181821,plain,
! [X0: $i,X1: $i] :
( v1_membered(k2_tarski(X0,X0))
| ( X0 = X1 )
| ~ v3_membered(k2_tarski(X0,X0)) ),
inference(superposition,[status(thm)],[c_56249,c_1489]) ).
tcf(c_181823,plain,
! [X0: $i,X1: $i] :
( v3_membered(k2_tarski(X0,X0))
| ( X0 = X1 )
| ~ v4_membered(k2_tarski(X0,X0)) ),
inference(superposition,[status(thm)],[c_56249,c_1442]) ).
tcf(c_181824,plain,
! [X0: $i,X1: $i] :
( v2_membered(k2_tarski(X0,X0))
| ( X0 = X1 )
| ~ v4_membered(k2_tarski(X0,X0)) ),
inference(superposition,[status(thm)],[c_56249,c_1441]) ).
tcf(c_181825,plain,
! [X0: $i,X1: $i] :
( v1_membered(k2_tarski(X0,X0))
| ( X0 = X1 )
| ~ v4_membered(k2_tarski(X0,X0)) ),
inference(superposition,[status(thm)],[c_56249,c_1440]) ).
tcf(c_181827,plain,
! [X0: $i,X1: $i] :
( v4_membered(k2_tarski(X0,X0))
| ( X0 = X1 )
| ~ v5_membered(k2_tarski(X0,X0)) ),
inference(superposition,[status(thm)],[c_56249,c_1352]) ).
tcf(c_181828,plain,
! [X0: $i,X1: $i] :
( v3_membered(k2_tarski(X0,X0))
| ( X0 = X1 )
| ~ v5_membered(k2_tarski(X0,X0)) ),
inference(superposition,[status(thm)],[c_56249,c_1351]) ).
tcf(c_181829,plain,
! [X0: $i,X1: $i] :
( v2_membered(k2_tarski(X0,X0))
| ( X0 = X1 )
| ~ v5_membered(k2_tarski(X0,X0)) ),
inference(superposition,[status(thm)],[c_56249,c_1350]) ).
tcf(c_181830,plain,
! [X0: $i,X1: $i] :
( v1_membered(k2_tarski(X0,X0))
| ( X0 = X1 )
| ~ v5_membered(k2_tarski(X0,X0)) ),
inference(superposition,[status(thm)],[c_56249,c_1349]) ).
tcf(c_181831,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( k3_tarski(k2_tarski(k2_tarski(X0,X0),k4_xboole_0(k2_tarski(X1,X1),k2_tarski(X0,X0)))) = k5_xboole_0(k2_tarski(X0,X0),k2_tarski(X1,X1)) ) ),
inference(superposition,[status(thm)],[c_56249,c_2624]) ).
tcf(c_181832,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( k1_setfam_1(k2_tarski(k2_tarski(X0,X0),k2_tarski(X1,X1))) = k4_xboole_0(k2_tarski(X0,X0),k2_tarski(X0,X0)) ) ),
inference(superposition,[status(thm)],[c_56249,c_2532]) ).
tcf(c_181835,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k2_tarski(X0,X0),k2_tarski(X0,X0))
| ( X0 = X1 ) ),
inference(superposition,[status(thm)],[c_56249,c_1734]) ).
tcf(c_181836,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X2 )
| ( k3_tarski(k2_tarski(k2_tarski(X0,X0),k4_xboole_0(X1,k2_tarski(X2,X2)))) = k4_xboole_0(k3_tarski(k2_tarski(k2_tarski(X0,X0),X1)),k2_tarski(X2,X2)) ) ),
inference(superposition,[status(thm)],[c_56249,c_483]) ).
tcf(c_181837,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X0 = X3 )
| ( k3_tarski(k2_tarski(k2_zfmisc_1(k2_tarski(X0,X0),X1),k2_zfmisc_1(k2_tarski(X0,X0),k4_xboole_0(X1,X2)))) = k4_xboole_0(k2_zfmisc_1(k2_tarski(X0,X0),X1),k2_zfmisc_1(k2_tarski(X3,X3),X2)) ) ),
inference(superposition,[status(thm)],[c_56249,c_471]) ).
tcf(c_181840,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X2 )
| ( k3_tarski(k2_tarski(k4_xboole_0(k2_tarski(X0,X0),X1),k2_tarski(X0,X0))) = k4_xboole_0(k2_tarski(X0,X0),k1_setfam_1(k2_tarski(k2_tarski(X2,X2),X1))) ) ),
inference(superposition,[status(thm)],[c_56249,c_52809]) ).
tcf(c_181841,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X2 )
| ( k4_xboole_0(k1_setfam_1(k2_tarski(k2_tarski(X0,X0),X1)),k2_tarski(X2,X2)) = k1_setfam_1(k2_tarski(k2_tarski(X0,X0),X1)) ) ),
inference(superposition,[status(thm)],[c_56249,c_52024]) ).
tcf(c_181843,plain,
! [X0: $i,X1: $i] :
( r1_xboole_0(k4_xboole_0(k2_tarski(X1,X1),k2_tarski(X0,X0)),k2_tarski(X0,X0))
| ( X0 = X1 ) ),
inference(superposition,[status(thm)],[c_56249,c_2447]) ).
tcf(c_181844,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( k3_tarski(k2_tarski(k4_xboole_0(k2_tarski(X0,X0),k2_tarski(X1,X1)),k2_tarski(X1,X1))) = k5_xboole_0(k2_tarski(X0,X0),k2_tarski(X1,X1)) ) ),
inference(superposition,[status(thm)],[c_56249,c_2624]) ).
tcf(c_181845,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( k3_tarski(k2_tarski(k2_tarski(X0,X0),k2_tarski(X1,X1))) = k5_xboole_0(k2_tarski(X0,X0),k2_tarski(X1,X1)) ) ),
inference(superposition,[status(thm)],[c_56249,c_2606]) ).
tcf(c_181846,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( k2_tarski(X0,X0) = k2_tarski(X1,X1) )
| ( k4_xboole_0(k2_tarski(X0,X0),k2_tarski(X1,X1)) != k2_tarski(X1,X1) ) ),
inference(superposition,[status(thm)],[c_56249,c_1738]) ).
tcf(c_181847,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X2 = X3 )
| ( k3_tarski(k2_tarski(k2_zfmisc_1(k4_xboole_0(X0,X1),k2_tarski(X2,X2)),k2_zfmisc_1(X0,k2_tarski(X2,X2)))) = k4_xboole_0(k2_zfmisc_1(X0,k2_tarski(X2,X2)),k2_zfmisc_1(X1,k2_tarski(X3,X3))) ) ),
inference(superposition,[status(thm)],[c_56249,c_471]) ).
tcf(c_181848,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X2 )
| ( k3_tarski(k2_tarski(k4_xboole_0(X0,k2_tarski(X1,X1)),k2_tarski(X2,X2))) = k4_xboole_0(k3_tarski(k2_tarski(X0,k2_tarski(X2,X2))),k2_tarski(X1,X1)) ) ),
inference(superposition,[status(thm)],[c_56249,c_483]) ).
tcf(c_181853,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( k2_tarski(X0,X0) != np__0 ) ),
inference(superposition,[status(thm)],[c_56249,c_54022]) ).
tcf(c_181983,plain,
! [X0: $i,X1: $i] :
( ( X0 = np__0 )
| ( k5_relat_1(sK46(X0,X1),np__0) = np__0 ) ),
inference(superposition,[status(thm)],[c_100,c_2270]) ).
tcf(c_181984,plain,
k5_relat_1(sK84,np__0) = np__0,
inference(superposition,[status(thm)],[c_579,c_2270]) ).
tcf(c_181986,plain,
! [X0: $i,X1: $i] : k5_relat_1(k2_zfmisc_1(X0,X1),np__0) = np__0,
inference(superposition,[status(thm)],[c_613,c_2270]) ).
tcf(c_181987,plain,
! [X0: $i] :
( ( X0 = np__0 )
| ( k5_relat_1(sK112(X0),np__0) = np__0 ) ),
inference(superposition,[status(thm)],[c_690,c_2270]) ).
tcf(c_181988,plain,
! [X0: $i] :
( ( X0 = np__0 )
| ( k5_relat_1(sK111(X0),np__0) = np__0 ) ),
inference(superposition,[status(thm)],[c_692,c_2270]) ).
tcf(c_181989,plain,
! [X0: $i,X1: $i] :
( ( X0 = np__0 )
| ( k5_relat_1(sK115(X0,X1),np__0) = np__0 ) ),
inference(superposition,[status(thm)],[c_720,c_2270]) ).
tcf(c_181990,plain,
! [X0: $i] :
( ( k5_relat_1(k2_relat_1(X0),np__0) = np__0 )
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_745,c_2270]) ).
tcf(c_181991,plain,
k5_relat_1(sK121,np__0) = np__0,
inference(superposition,[status(thm)],[c_747,c_2270]) ).
tcf(c_181992,plain,
! [X0: $i] :
( ( k5_relat_1(k1_relat_1(X0),np__0) = np__0 )
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_751,c_2270]) ).
tcf(c_181993,plain,
! [X0: $i,X1: $i] :
( ( k5_relat_1(k1_realset1(X0,X1),np__0) = np__0 )
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_1004,c_2270]) ).
tcf(c_181994,plain,
k5_relat_1(sK261,np__0) = np__0,
inference(superposition,[status(thm)],[c_1665,c_2270]) ).
tcf(c_181995,plain,
! [X0: $i,X1: $i] :
( ( k5_relat_1(k4_xboole_0(X0,X1),np__0) = np__0 )
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_1711,c_2270]) ).
tcf(c_181996,plain,
! [X0: $i,X1: $i] :
( ( k5_relat_1(k7_relat_1(X0,X1),np__0) = np__0 )
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_2035,c_2270]) ).
tcf(c_181997,plain,
! [X0: $i,X1: $i] : k5_relat_1(sK333(X0,X1),np__0) = np__0,
inference(superposition,[status(thm)],[c_2114,c_2270]) ).
tcf(c_181998,plain,
! [X0: $i,X1: $i] : k5_relat_1(sK334(X0,X1),np__0) = np__0,
inference(superposition,[status(thm)],[c_2118,c_2270]) ).
tcf(c_182002,plain,
k5_relat_1(sK448,np__0) = np__0,
inference(superposition,[status(thm)],[c_2875,c_2270]) ).
tcf(c_182003,plain,
! [X0: $i,X1: $i] :
( ( k5_relat_1(k8_relat_1(X1,X0),np__0) = np__0 )
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_3291,c_2270]) ).
tcf(c_182004,plain,
! [X0: $i] :
( ( k5_relat_1(sK522(X0),np__0) = np__0 )
| ~ v1_finset_1(X0) ),
inference(superposition,[status(thm)],[c_3331,c_2270]) ).
tcf(c_182005,plain,
k5_relat_1(sK523,np__0) = np__0,
inference(superposition,[status(thm)],[c_3343,c_2270]) ).
tcf(c_182006,plain,
! [X0: $i] : k5_relat_1(sK524(X0),np__0) = np__0,
inference(superposition,[status(thm)],[c_3348,c_2270]) ).
tcf(c_182007,plain,
k5_relat_1(sK525,np__0) = np__0,
inference(superposition,[status(thm)],[c_3353,c_2270]) ).
tcf(c_182008,plain,
! [X0: $i] :
( ( k5_relat_1(k4_relat_1(X0),np__0) = np__0 )
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_3389,c_2270]) ).
tcf(c_182009,plain,
! [X0: $i] :
( ( k5_relat_1(k4_relat_1(X0),np__0) = np__0 )
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_3373,c_2270]) ).
tcf(c_182010,plain,
! [X0: $i,X1: $i] :
( ( k5_relat_1(sK569(X0,X1),np__0) = np__0 )
| ~ sP37(X0,X1) ),
inference(superposition,[status(thm)],[c_3727,c_2270]) ).
tcf(c_182011,plain,
! [X0: $i,X1: $i] :
( ( k5_relat_1(k1_setfam_1(k2_tarski(X1,X0)),np__0) = np__0 )
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_47707,c_2270]) ).
tcf(c_182012,plain,
! [X0: $i] :
( ( k5_relat_1(k1_pre_topc(X0),np__0) = np__0 )
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_160937,c_2270]) ).
tcf(c_182013,plain,
! [X0: $i] :
( ( k5_relat_1(k1_pre_topc(X0),np__0) = np__0 )
| ~ l1_struct_0(X0) ),
inference(superposition,[status(thm)],[c_159838,c_2270]) ).
tcf(c_182014,plain,
( ( k5_relat_1(k1_tops_1(sK39,np__0),np__0) = np__0 )
| ~ l1_pre_topc(sK39) ),
inference(superposition,[status(thm)],[c_167019,c_2270]) ).
tcf(c_182015,plain,
! [X0: $i,X1: $i] : k5_relat_1(k5_relat_1(k6_partfun1(X0),k6_partfun1(X1)),np__0) = np__0,
inference(superposition,[status(thm)],[c_169449,c_2270]) ).
tcf(c_182016,plain,
( ( k5_relat_1(sK92(k1_zfmisc_1(u1_struct_0(sK39))),np__0) = np__0 )
| ~ v1_relat_1(u1_struct_0(sK39)) ),
inference(superposition,[status(thm)],[c_174649,c_2270]) ).
tcf(c_182111,plain,
! [X0: $i,X1: $i] :
( v1_xcmplx_0(X1)
| ~ m1_eqrel_1(X1,X0)
| ~ v1_membered(k1_zfmisc_1(k1_zfmisc_1(X0))) ),
inference(superposition,[status(thm)],[c_2292,c_1586]) ).
tcf(c_182112,plain,
! [X0: $i,X1: $i] :
( v1_xreal_0(X1)
| ~ m1_eqrel_1(X1,X0)
| ~ v2_membered(k1_zfmisc_1(k1_zfmisc_1(X0))) ),
inference(superposition,[status(thm)],[c_2292,c_1551]) ).
tcf(c_182113,plain,
! [X0: $i,X1: $i] :
( v1_xcmplx_0(X1)
| ~ m1_eqrel_1(X1,X0)
| ~ v2_membered(k1_zfmisc_1(k1_zfmisc_1(X0))) ),
inference(superposition,[status(thm)],[c_2292,c_1550]) ).
tcf(c_182114,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(X1)
| ~ m1_eqrel_1(X1,X0)
| ~ v1_xboole_0(k1_zfmisc_1(k1_zfmisc_1(X0))) ),
inference(superposition,[status(thm)],[c_2292,c_590]) ).
tcf(c_182115,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(k1_zfmisc_1(k1_zfmisc_1(X1)))
| r2_hidden(X0,k1_zfmisc_1(k1_zfmisc_1(X1)))
| ~ m1_eqrel_1(X0,X1) ),
inference(superposition,[status(thm)],[c_2292,c_588]) ).
tcf(c_182116,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,k1_zfmisc_1(X1))
| ~ m1_eqrel_1(X0,X1) ),
inference(superposition,[status(thm)],[c_2292,c_541]) ).
tcf(c_182128,plain,
! [X0: $i,X1: $i] :
( r2_hidden(X0,k1_zfmisc_1(k1_zfmisc_1(X1)))
| ~ m1_eqrel_1(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_182115,c_595]) ).
tcf(c_182145,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| ~ v1_xboole_0(sK355(X0)) ),
inference(superposition,[status(thm)],[c_2291,c_2293]) ).
tcf(c_182152,plain,
! [X0: $i,X1: $i] :
( v1_xcmplx_0(sK390(X0,X1))
| r1_xboole_0(k3_tarski(X0),X1)
| ~ v1_membered(X0) ),
inference(superposition,[status(thm)],[c_2427,c_1578]) ).
tcf(c_182153,plain,
! [X0: $i,X1: $i] :
( v1_xreal_0(sK390(X0,X1))
| r1_xboole_0(k3_tarski(X0),X1)
| ~ v2_membered(X0) ),
inference(superposition,[status(thm)],[c_2427,c_1535]) ).
tcf(c_182154,plain,
! [X0: $i,X1: $i] :
( v1_int_1(sK390(X0,X1))
| r1_xboole_0(k3_tarski(X0),X1)
| ~ v4_membered(X0) ),
inference(superposition,[status(thm)],[c_2427,c_1435]) ).
tcf(c_182155,plain,
! [X0: $i,X1: $i] :
( v4_ordinal2(sK390(X0,X1))
| r1_xboole_0(k3_tarski(X0),X1)
| ~ v5_membered(X0) ),
inference(superposition,[status(thm)],[c_2427,c_1343]) ).
tcf(c_182156,plain,
! [X0: $i,X1: $i] :
( r1_xboole_0(k3_tarski(X0),X1)
| ~ r2_hidden(X0,sK390(X0,X1)) ),
inference(superposition,[status(thm)],[c_2427,c_631]) ).
tcf(c_182157,plain,
! [X0: $i,X1: $i] :
( r1_xboole_0(k3_tarski(X0),X1)
| r2_hidden(sK92(X0),X0) ),
inference(superposition,[status(thm)],[c_2427,c_627]) ).
tcf(c_182158,plain,
! [X0: $i,X1: $i] :
( r1_xboole_0(k3_tarski(X0),X1)
| m1_subset_1(sK390(X0,X1),X0) ),
inference(superposition,[status(thm)],[c_2427,c_626]) ).
tcf(c_182159,plain,
! [X0: $i,X1: $i] :
( r1_xboole_0(k3_tarski(X0),X1)
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_2427,c_597]) ).
tcf(c_182160,plain,
! [X0: $i,X1: $i] :
( r1_xboole_0(k3_tarski(k1_zfmisc_1(X0)),X1)
| r1_tarski(sK390(k1_zfmisc_1(X0),X1),X0) ),
inference(superposition,[status(thm)],[c_2427,c_563]) ).
tcf(c_182161,plain,
! [X0: $i] : r1_xboole_0(k3_tarski(np__0),X0),
inference(superposition,[status(thm)],[c_2427,c_698]) ).
tcf(c_182162,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_xboole_0(k3_tarski(k4_xboole_0(X0,X1)),X2)
| r2_hidden(sK390(k4_xboole_0(X0,X1),X2),X0) ),
inference(superposition,[status(thm)],[c_2427,c_1745]) ).
tcf(c_182163,plain,
! [X0: $i] :
( v1_int_1(sK390(k4_numbers,X0))
| r1_xboole_0(k3_tarski(k4_numbers),X0) ),
inference(superposition,[status(thm)],[c_2427,c_2722]) ).
tcf(c_182164,plain,
! [X0: $i] :
( v1_xreal_0(sK390(k1_numbers,X0))
| r1_xboole_0(k3_tarski(k1_numbers),X0) ),
inference(superposition,[status(thm)],[c_2427,c_2743]) ).
tcf(c_182165,plain,
! [X0: $i,X1: $i] :
( r1_xboole_0(k3_tarski(k5_finsub_1(X0)),X1)
| r1_tarski(sK390(k5_finsub_1(X0),X1),X0) ),
inference(superposition,[status(thm)],[c_2427,c_14776]) ).
tcf(c_182166,plain,
! [X0: $i,X1: $i] :
( r1_xboole_0(k3_tarski(k5_finsub_1(X0)),X1)
| v1_finset_1(sK390(k5_finsub_1(X0),X1)) ),
inference(superposition,[status(thm)],[c_2427,c_14774]) ).
tcf(c_182184,plain,
! [X0: $i,X1: $i] :
( r1_xboole_0(X0,X1)
| r1_tarski(sK390(k1_zfmisc_1(X0),X1),X0) ),
inference(light_normalisation,[status(thm)],[c_182160,c_2507]) ).
tcf(c_182220,plain,
( v3_struct_0(sK51)
| ~ l1_struct_0(sK51)
| ~ v1_xboole_0(u1_struct_0(sK51)) ),
inference(superposition,[status(thm)],[c_173754,c_356]) ).
tcf(c_182221,plain,
( m1_subset_1(u1_struct_0(sK51),k1_zfmisc_1(u1_struct_0(sK51)))
| ~ l1_struct_0(sK51) ),
inference(superposition,[status(thm)],[c_173754,c_341]) ).
tcf(c_182222,plain,
m1_subset_1(u1_struct_0(sK51),k1_zfmisc_1(u1_struct_0(sK51))),
inference(forward_subsumption_resolution,[status(thm)],[c_182221,c_159]) ).
tcf(c_182223,plain,
~ v1_xboole_0(u1_struct_0(sK51)),
inference(forward_subsumption_resolution,[status(thm)],[c_182220,c_160,c_159]) ).
tcf(c_182237,plain,
( v3_struct_0(sK298)
| ~ l1_struct_0(sK298)
| ~ v1_xboole_0(u1_struct_0(sK298)) ),
inference(superposition,[status(thm)],[c_173755,c_356]) ).
tcf(c_182238,plain,
( m1_subset_1(u1_struct_0(sK298),k1_zfmisc_1(u1_struct_0(sK298)))
| ~ l1_struct_0(sK298) ),
inference(superposition,[status(thm)],[c_173755,c_341]) ).
tcf(c_182239,plain,
m1_subset_1(u1_struct_0(sK298),k1_zfmisc_1(u1_struct_0(sK298))),
inference(forward_subsumption_resolution,[status(thm)],[c_182238,c_159582]) ).
tcf(c_182240,plain,
( v3_struct_0(sK298)
| ~ v1_xboole_0(u1_struct_0(sK298)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_182237,c_159582]) ).
tcf(c_182243,plain,
( v3_struct_0(sK299)
| ~ l1_struct_0(sK299)
| ~ v1_xboole_0(u1_struct_0(sK299)) ),
inference(superposition,[status(thm)],[c_173756,c_356]) ).
tcf(c_182244,plain,
( m1_subset_1(u1_struct_0(sK299),k1_zfmisc_1(u1_struct_0(sK299)))
| ~ l1_struct_0(sK299) ),
inference(superposition,[status(thm)],[c_173756,c_341]) ).
tcf(c_182245,plain,
m1_subset_1(u1_struct_0(sK299),k1_zfmisc_1(u1_struct_0(sK299))),
inference(forward_subsumption_resolution,[status(thm)],[c_182244,c_159588]) ).
tcf(c_182246,plain,
( v3_struct_0(sK299)
| ~ v1_xboole_0(u1_struct_0(sK299)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_182243,c_159588]) ).
tcf(c_182257,plain,
( v3_struct_0(sK174)
| ~ l1_struct_0(sK174)
| ~ v1_xboole_0(u1_struct_0(sK174)) ),
inference(superposition,[status(thm)],[c_173757,c_356]) ).
tcf(c_182258,plain,
( m1_subset_1(u1_struct_0(sK174),k1_zfmisc_1(u1_struct_0(sK174)))
| ~ l1_struct_0(sK174) ),
inference(superposition,[status(thm)],[c_173757,c_341]) ).
tcf(c_182259,plain,
m1_subset_1(u1_struct_0(sK174),k1_zfmisc_1(u1_struct_0(sK174))),
inference(forward_subsumption_resolution,[status(thm)],[c_182258,c_159260]) ).
tcf(c_182260,plain,
( v3_struct_0(sK174)
| ~ v1_xboole_0(u1_struct_0(sK174)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_182257,c_159260]) ).
tcf(c_182263,plain,
( v3_struct_0(sK458)
| ~ l1_struct_0(sK458)
| ~ v1_xboole_0(u1_struct_0(sK458)) ),
inference(superposition,[status(thm)],[c_173758,c_356]) ).
tcf(c_182264,plain,
( m1_subset_1(u1_struct_0(sK458),k1_zfmisc_1(u1_struct_0(sK458)))
| ~ l1_struct_0(sK458) ),
inference(superposition,[status(thm)],[c_173758,c_341]) ).
tcf(c_182265,plain,
m1_subset_1(u1_struct_0(sK458),k1_zfmisc_1(u1_struct_0(sK458))),
inference(forward_subsumption_resolution,[status(thm)],[c_182264,c_159261]) ).
tcf(c_182266,plain,
~ v1_xboole_0(u1_struct_0(sK458)),
inference(forward_subsumption_resolution,[status(thm)],[c_182263,c_2945,c_159261]) ).
tcf(c_182274,plain,
( v3_struct_0(sK462)
| ~ l1_struct_0(sK462)
| ~ v1_xboole_0(u1_struct_0(sK462)) ),
inference(superposition,[status(thm)],[c_173759,c_356]) ).
tcf(c_182275,plain,
( m1_subset_1(u1_struct_0(sK462),k1_zfmisc_1(u1_struct_0(sK462)))
| ~ l1_struct_0(sK462) ),
inference(superposition,[status(thm)],[c_173759,c_341]) ).
tcf(c_182276,plain,
m1_subset_1(u1_struct_0(sK462),k1_zfmisc_1(u1_struct_0(sK462))),
inference(forward_subsumption_resolution,[status(thm)],[c_182275,c_159262]) ).
tcf(c_182277,plain,
~ v1_xboole_0(u1_struct_0(sK462)),
inference(forward_subsumption_resolution,[status(thm)],[c_182274,c_2961,c_159262]) ).
tcf(c_182279,plain,
( v3_struct_0(sK463)
| ~ l1_struct_0(sK463)
| ~ v1_xboole_0(u1_struct_0(sK463)) ),
inference(superposition,[status(thm)],[c_173760,c_356]) ).
tcf(c_182280,plain,
( m1_subset_1(u1_struct_0(sK463),k1_zfmisc_1(u1_struct_0(sK463)))
| ~ l1_struct_0(sK463) ),
inference(superposition,[status(thm)],[c_173760,c_341]) ).
tcf(c_182281,plain,
m1_subset_1(u1_struct_0(sK463),k1_zfmisc_1(u1_struct_0(sK463))),
inference(forward_subsumption_resolution,[status(thm)],[c_182280,c_159263]) ).
tcf(c_182282,plain,
~ v1_xboole_0(u1_struct_0(sK463)),
inference(forward_subsumption_resolution,[status(thm)],[c_182279,c_2968,c_159263]) ).
tcf(c_182286,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k1_setfam_1(k2_tarski(X0,X1)) = X2 )
| ( k3_tarski(k4_xboole_0(k2_tarski(k1_setfam_1(k2_tarski(X0,X1)),X2),k2_tarski(X2,X2))) = k4_xboole_0(X1,k4_xboole_0(k4_xboole_0(X1,X0),X0)) ) ),
inference(superposition,[status(thm)],[c_54771,c_56414]) ).
tcf(c_182287,plain,
! [X0: $i,X1: $i,X2: $i] : k3_tarski(k2_tarski(k1_setfam_1(k2_tarski(X0,X1)),k1_setfam_1(k2_tarski(X2,X1)))) = k4_xboole_0(X1,k4_xboole_0(k4_xboole_0(X1,X2),X0)),
inference(superposition,[status(thm)],[c_2707,c_56414]) ).
tcf(c_182288,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = np__0 )
| ( k3_tarski(k2_relat_1(sK46(X0,k1_setfam_1(k2_tarski(X1,X2))))) = k4_xboole_0(X2,k4_xboole_0(k4_xboole_0(X2,X1),X1)) ) ),
inference(superposition,[status(thm)],[c_51182,c_56414]) ).
tcf(c_182289,plain,
! [X0: $i,X1: $i] : k4_xboole_0(X0,k4_xboole_0(k4_xboole_0(X0,X0),X1)) = k3_tarski(k2_tarski(X0,k1_setfam_1(k2_tarski(X1,X0)))),
inference(superposition,[status(thm)],[c_47410,c_56414]) ).
tcf(c_182290,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : k3_tarski(k2_tarski(k4_xboole_0(k1_setfam_1(k2_tarski(X0,X1)),X2),k1_setfam_1(k2_tarski(X3,X1)))) = k4_xboole_0(X1,k4_xboole_0(k4_xboole_0(X1,k4_xboole_0(X0,X2)),X3)),
inference(superposition,[status(thm)],[c_52024,c_56414]) ).
tcf(c_182291,plain,
! [X0: $i,X1: $i,X2: $i] : k3_tarski(k2_tarski(k1_zfmisc_1(k1_setfam_1(k2_tarski(X0,X1))),k1_setfam_1(k2_tarski(X2,k1_zfmisc_1(X1))))) = k4_xboole_0(k1_zfmisc_1(X1),k4_xboole_0(k4_xboole_0(k1_zfmisc_1(X1),k1_zfmisc_1(X0)),X2)),
inference(superposition,[status(thm)],[c_52026,c_56414]) ).
tcf(c_182292,plain,
! [X0: $i,X1: $i,X2: $i] : k3_tarski(k2_tarski(k5_finsub_1(k1_setfam_1(k2_tarski(X0,X1))),k1_setfam_1(k2_tarski(X2,k5_finsub_1(X1))))) = k4_xboole_0(k5_finsub_1(X1),k4_xboole_0(k4_xboole_0(k5_finsub_1(X1),k5_finsub_1(X0)),X2)),
inference(superposition,[status(thm)],[c_52028,c_56414]) ).
tcf(c_182293,plain,
! [X0: $i,X1: $i] : k4_xboole_0(np__0,k4_xboole_0(k4_xboole_0(np__0,X0),X1)) = k3_tarski(k2_tarski(np__0,k1_setfam_1(k2_tarski(X1,np__0)))),
inference(superposition,[status(thm)],[c_160609,c_56414]) ).
tcf(c_182294,plain,
! [X0: $i,X1: $i] : k4_xboole_0(X0,k4_xboole_0(k4_xboole_0(X0,np__0),X1)) = k3_tarski(k2_tarski(np__0,k1_setfam_1(k2_tarski(X1,X0)))),
inference(superposition,[status(thm)],[c_160608,c_56414]) ).
tcf(c_182296,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X1 )
| ( k3_tarski(k2_tarski(k1_setfam_1(k4_xboole_0(k2_tarski(X0,X1),k2_tarski(X1,X1))),k1_setfam_1(k2_tarski(X2,X0)))) = k4_xboole_0(X0,k4_xboole_0(k4_xboole_0(X0,X0),X2)) ) ),
inference(superposition,[status(thm)],[c_54771,c_56414]) ).
tcf(c_182298,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = np__0 )
| ( k3_tarski(k2_tarski(k1_setfam_1(k2_relat_1(sK46(X0,X1))),k1_setfam_1(k2_tarski(X2,X1)))) = k4_xboole_0(X1,k4_xboole_0(k4_xboole_0(X1,X1),X2)) ) ),
inference(superposition,[status(thm)],[c_51182,c_56414]) ).
tcf(c_182299,plain,
! [X0: $i] : k3_tarski(k2_tarski(k1_setfam_1(k1_zfmisc_1(np__0)),k1_setfam_1(k2_tarski(X0,np__0)))) = k4_xboole_0(np__0,k4_xboole_0(k4_xboole_0(np__0,np__0),X0)),
inference(superposition,[status(thm)],[c_47417,c_56414]) ).
tcf(c_182300,plain,
! [X0: $i,X1: $i] : k3_tarski(k2_tarski(k1_setfam_1(k1_zfmisc_1(k2_tarski(X0,X0))),k1_setfam_1(k2_tarski(X1,k2_tarski(X0,X0))))) = k4_xboole_0(k2_tarski(X0,X0),k4_xboole_0(k4_xboole_0(k2_tarski(X0,X0),np__0),X1)),
inference(superposition,[status(thm)],[c_50679,c_56414]) ).
tcf(c_182301,plain,
! [X0: $i,X1: $i] : k4_xboole_0(X0,k4_xboole_0(k4_xboole_0(X0,X1),X0)) = k3_tarski(k2_tarski(k1_setfam_1(k2_tarski(X1,X0)),X0)),
inference(superposition,[status(thm)],[c_47410,c_56414]) ).
tcf(c_182302,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : k3_tarski(k2_tarski(k1_setfam_1(k2_tarski(X0,X1)),k4_xboole_0(k1_setfam_1(k2_tarski(X2,X1)),X3))) = k4_xboole_0(X1,k4_xboole_0(k4_xboole_0(X1,X0),k4_xboole_0(X2,X3))),
inference(superposition,[status(thm)],[c_52024,c_56414]) ).
tcf(c_182303,plain,
! [X0: $i,X1: $i,X2: $i] : k3_tarski(k2_tarski(k1_setfam_1(k2_tarski(X0,k1_zfmisc_1(X1))),k1_zfmisc_1(k1_setfam_1(k2_tarski(X2,X1))))) = k4_xboole_0(k1_zfmisc_1(X1),k4_xboole_0(k4_xboole_0(k1_zfmisc_1(X1),X0),k1_zfmisc_1(X2))),
inference(superposition,[status(thm)],[c_52026,c_56414]) ).
tcf(c_182304,plain,
! [X0: $i,X1: $i,X2: $i] : k3_tarski(k2_tarski(k1_setfam_1(k2_tarski(X0,k5_finsub_1(X1))),k5_finsub_1(k1_setfam_1(k2_tarski(X2,X1))))) = k4_xboole_0(k5_finsub_1(X1),k4_xboole_0(k4_xboole_0(k5_finsub_1(X1),X0),k5_finsub_1(X2))),
inference(superposition,[status(thm)],[c_52028,c_56414]) ).
tcf(c_182305,plain,
! [X0: $i,X1: $i] : k4_xboole_0(np__0,k4_xboole_0(k4_xboole_0(np__0,X0),X1)) = k3_tarski(k2_tarski(k1_setfam_1(k2_tarski(X0,np__0)),np__0)),
inference(superposition,[status(thm)],[c_160609,c_56414]) ).
tcf(c_182306,plain,
! [X0: $i,X1: $i] : k4_xboole_0(X0,k4_xboole_0(k4_xboole_0(X0,X1),np__0)) = k3_tarski(k2_tarski(k1_setfam_1(k2_tarski(X1,X0)),np__0)),
inference(superposition,[status(thm)],[c_160608,c_56414]) ).
tcf(c_182308,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X2 )
| ( k3_tarski(k2_tarski(k1_setfam_1(k2_tarski(X0,X1)),k1_setfam_1(k4_xboole_0(k2_tarski(X1,X2),k2_tarski(X2,X2))))) = k4_xboole_0(X1,k4_xboole_0(k4_xboole_0(X1,X0),X1)) ) ),
inference(superposition,[status(thm)],[c_54771,c_56414]) ).
tcf(c_182309,plain,
! [X0: $i,X1: $i,X2: $i] : k3_tarski(k2_tarski(k1_setfam_1(k2_tarski(X0,X1)),k1_setfam_1(k2_tarski(X1,X2)))) = k4_xboole_0(X1,k4_xboole_0(k4_xboole_0(X1,X0),X2)),
inference(superposition,[status(thm)],[c_2707,c_56414]) ).
tcf(c_182310,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2 = np__0 )
| ( k3_tarski(k2_tarski(k1_setfam_1(k2_tarski(X0,X1)),k1_setfam_1(k2_relat_1(sK46(X2,X1))))) = k4_xboole_0(X1,k4_xboole_0(k4_xboole_0(X1,X0),X1)) ) ),
inference(superposition,[status(thm)],[c_51182,c_56414]) ).
tcf(c_182311,plain,
! [X0: $i] : k3_tarski(k2_tarski(k1_setfam_1(k2_tarski(X0,np__0)),k1_setfam_1(k1_zfmisc_1(np__0)))) = k4_xboole_0(np__0,k4_xboole_0(k4_xboole_0(np__0,X0),np__0)),
inference(superposition,[status(thm)],[c_47417,c_56414]) ).
tcf(c_182312,plain,
! [X0: $i,X1: $i] : k3_tarski(k2_tarski(k1_setfam_1(k2_tarski(X0,k2_tarski(X1,X1))),k1_setfam_1(k1_zfmisc_1(k2_tarski(X1,X1))))) = k4_xboole_0(k2_tarski(X1,X1),k4_xboole_0(k4_xboole_0(k2_tarski(X1,X1),X0),np__0)),
inference(superposition,[status(thm)],[c_50679,c_56414]) ).
tcf(c_182313,plain,
! [X0: $i,X1: $i,X2: $i] : k4_xboole_0(k4_xboole_0(X0,k4_xboole_0(k4_xboole_0(X0,X1),X2)),k1_setfam_1(k2_tarski(k1_setfam_1(k2_tarski(X2,X0)),k1_setfam_1(k2_tarski(X1,X0))))) = k5_xboole_0(k1_setfam_1(k2_tarski(X1,X0)),k1_setfam_1(k2_tarski(X2,X0))),
inference(superposition,[status(thm)],[c_56414,c_51197]) ).
tcf(c_182314,plain,
! [X0: $i,X1: $i,X2: $i] : k5_xboole_0(k1_setfam_1(k2_tarski(X0,X1)),k5_xboole_0(k1_setfam_1(k2_tarski(X2,X1)),k4_xboole_0(X1,k4_xboole_0(k4_xboole_0(X1,X0),X2)))) = k1_setfam_1(k2_tarski(k1_setfam_1(k2_tarski(X2,X1)),k1_setfam_1(k2_tarski(X0,X1)))),
inference(superposition,[status(thm)],[c_56414,c_50414]) ).
tcf(c_182315,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_xboole_0(k1_setfam_1(k2_tarski(X1,X0)))
| ~ v1_xboole_0(k4_xboole_0(X0,k4_xboole_0(k4_xboole_0(X0,X1),X2))) ),
inference(superposition,[status(thm)],[c_56414,c_511]) ).
tcf(c_182316,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_xboole_0(k1_setfam_1(k2_tarski(X2,X0)))
| ~ v1_xboole_0(k4_xboole_0(X0,k4_xboole_0(k4_xboole_0(X0,X1),X2))) ),
inference(superposition,[status(thm)],[c_56414,c_510]) ).
tcf(c_182317,plain,
! [X0: $i,X1: $i,X2: $i] : r1_tarski(k1_setfam_1(k2_tarski(X0,X1)),k4_xboole_0(X1,k4_xboole_0(k4_xboole_0(X1,X0),X2))),
inference(superposition,[status(thm)],[c_56414,c_497]) ).
tcf(c_182318,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : k3_tarski(k2_tarski(k1_setfam_1(k2_tarski(X0,X1)),k3_tarski(k2_tarski(k1_setfam_1(k2_tarski(X2,X1)),X3)))) = k3_tarski(k2_tarski(k4_xboole_0(X1,k4_xboole_0(k4_xboole_0(X1,X0),X2)),X3)),
inference(superposition,[status(thm)],[c_56414,c_500]) ).
tcf(c_182319,plain,
! [X0: $i,X1: $i,X2: $i] : k3_tarski(k2_tarski(k1_setfam_1(k2_tarski(X0,X1)),k4_xboole_0(X1,k4_xboole_0(k4_xboole_0(X1,X0),X2)))) = k4_xboole_0(X1,k4_xboole_0(k4_xboole_0(X1,X0),X2)),
inference(superposition,[status(thm)],[c_56414,c_498]) ).
tcf(c_182320,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k1_setfam_1(k2_tarski(X1,X0)) = np__0 )
| ( k4_xboole_0(X0,k4_xboole_0(k4_xboole_0(X0,X1),X2)) != np__0 ) ),
inference(superposition,[status(thm)],[c_56414,c_487]) ).
tcf(c_182321,plain,
! [X0: $i,X1: $i,X2: $i] : k4_xboole_0(k4_xboole_0(X0,k4_xboole_0(k4_xboole_0(X0,X1),X2)),k1_setfam_1(k2_tarski(X2,X0))) = k4_xboole_0(k1_setfam_1(k2_tarski(X1,X0)),k1_setfam_1(k2_tarski(X2,X0))),
inference(superposition,[status(thm)],[c_56414,c_485]) ).
tcf(c_182322,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : k4_xboole_0(k4_xboole_0(X0,k1_setfam_1(k2_tarski(X1,X2))),k1_setfam_1(k2_tarski(X3,X2))) = k4_xboole_0(X0,k4_xboole_0(X2,k4_xboole_0(k4_xboole_0(X2,X1),X3))),
inference(superposition,[status(thm)],[c_56414,c_484]) ).
tcf(c_182323,plain,
! [X0: $i,X1: $i] : k4_xboole_0(X0,k4_xboole_0(k4_xboole_0(X0,X1),X1)) = k1_setfam_1(k2_tarski(X1,X0)),
inference(superposition,[status(thm)],[c_56414,c_502]) ).
tcf(c_182324,plain,
! [X0: $i,X1: $i,X2: $i] : r1_tarski(k1_setfam_1(k2_tarski(X0,X1)),k4_xboole_0(X1,k4_xboole_0(k4_xboole_0(X1,X2),X0))),
inference(superposition,[status(thm)],[c_56414,c_162055]) ).
tcf(c_182325,plain,
! [X0: $i,X1: $i,X2: $i] : ~ r2_hidden(k4_xboole_0(X0,k4_xboole_0(k4_xboole_0(X0,X1),X2)),k1_setfam_1(k2_tarski(k1_setfam_1(k2_tarski(X1,X0)),k1_setfam_1(k2_tarski(X2,X0))))),
inference(superposition,[status(thm)],[c_56414,c_167159]) ).
tcf(c_182326,plain,
! [X0: $i,X1: $i,X2: $i] : ~ r2_hidden(k1_zfmisc_1(k4_xboole_0(X0,k4_xboole_0(k4_xboole_0(X0,X1),X2))),k2_tarski(k1_setfam_1(k2_tarski(X1,X0)),k1_setfam_1(k2_tarski(X2,X0)))),
inference(superposition,[status(thm)],[c_56414,c_167158]) ).
tcf(c_182327,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_ordinal1(k4_xboole_0(X1,k4_xboole_0(k4_xboole_0(X1,X0),X2)))
| ~ v1_xboole_0(k2_tarski(k1_setfam_1(k2_tarski(X0,X1)),k1_setfam_1(k2_tarski(X2,X1)))) ),
inference(superposition,[status(thm)],[c_56414,c_164233]) ).
tcf(c_182328,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_membered(k4_xboole_0(X1,k4_xboole_0(k4_xboole_0(X1,X0),X2)))
| ~ v1_xboole_0(k2_tarski(k1_setfam_1(k2_tarski(X0,X1)),k1_setfam_1(k2_tarski(X2,X1)))) ),
inference(superposition,[status(thm)],[c_56414,c_163434]) ).
tcf(c_182329,plain,
! [X0: $i,X1: $i,X2: $i] :
( v2_membered(k4_xboole_0(X1,k4_xboole_0(k4_xboole_0(X1,X0),X2)))
| ~ v1_xboole_0(k2_tarski(k1_setfam_1(k2_tarski(X0,X1)),k1_setfam_1(k2_tarski(X2,X1)))) ),
inference(superposition,[status(thm)],[c_56414,c_163150]) ).
tcf(c_182330,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_membered(k4_xboole_0(X1,k4_xboole_0(k4_xboole_0(X1,X0),X2)))
| ~ v1_xboole_0(k2_tarski(k1_setfam_1(k2_tarski(X0,X1)),k1_setfam_1(k2_tarski(X2,X1)))) ),
inference(superposition,[status(thm)],[c_56414,c_162596]) ).
tcf(c_182331,plain,
! [X0: $i,X1: $i,X2: $i] :
( v4_membered(k4_xboole_0(X1,k4_xboole_0(k4_xboole_0(X1,X0),X2)))
| ~ v1_xboole_0(k2_tarski(k1_setfam_1(k2_tarski(X0,X1)),k1_setfam_1(k2_tarski(X2,X1)))) ),
inference(superposition,[status(thm)],[c_56414,c_162258]) ).
tcf(c_182332,plain,
! [X0: $i,X1: $i,X2: $i] :
( v5_membered(k4_xboole_0(X1,k4_xboole_0(k4_xboole_0(X1,X0),X2)))
| ~ v1_xboole_0(k2_tarski(k1_setfam_1(k2_tarski(X0,X1)),k1_setfam_1(k2_tarski(X2,X1)))) ),
inference(superposition,[status(thm)],[c_56414,c_161606]) ).
tcf(c_182333,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : k3_tarski(k3_tarski(k2_tarski(k2_tarski(k1_setfam_1(k2_tarski(X0,X1)),k1_setfam_1(k2_tarski(X2,X1))),X3))) = k3_tarski(k2_tarski(k4_xboole_0(X1,k4_xboole_0(k4_xboole_0(X1,X0),X2)),k3_tarski(X3))),
inference(superposition,[status(thm)],[c_56414,c_2509]) ).
tcf(c_182334,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_ordinal1(k4_xboole_0(X1,k4_xboole_0(k4_xboole_0(X1,X0),X2)))
| ~ v3_ordinal1(k2_tarski(k1_setfam_1(k2_tarski(X0,X1)),k1_setfam_1(k2_tarski(X2,X1)))) ),
inference(superposition,[status(thm)],[c_56414,c_2504]) ).
tcf(c_182335,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_finset_1(k2_tarski(k1_setfam_1(k2_tarski(X1,X0)),k1_setfam_1(k2_tarski(X2,X0))))
| ~ v1_finset_1(k4_xboole_0(X0,k4_xboole_0(k4_xboole_0(X0,X1),X2))) ),
inference(superposition,[status(thm)],[c_56414,c_2497]) ).
tcf(c_182336,plain,
! [X0: $i,X1: $i,X2: $i] : r1_tarski(k1_setfam_1(k2_tarski(k1_setfam_1(k2_tarski(X0,X1)),k1_setfam_1(k2_tarski(X2,X1)))),k4_xboole_0(X1,k4_xboole_0(k4_xboole_0(X1,X0),X2))),
inference(superposition,[status(thm)],[c_56414,c_2542]) ).
tcf(c_182337,plain,
! [X0: $i,X1: $i,X2: $i] : r1_tarski(k2_tarski(k1_setfam_1(k2_tarski(X0,X1)),k1_setfam_1(k2_tarski(X2,X1))),k1_zfmisc_1(k4_xboole_0(X1,k4_xboole_0(k4_xboole_0(X1,X0),X2)))),
inference(superposition,[status(thm)],[c_56414,c_2506]) ).
tcf(c_182338,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_tarski(X0,k4_xboole_0(X2,k4_xboole_0(k4_xboole_0(X2,X1),X3)))
| ~ r2_hidden(X0,k2_tarski(k1_setfam_1(k2_tarski(X1,X2)),k1_setfam_1(k2_tarski(X3,X2)))) ),
inference(superposition,[status(thm)],[c_56414,c_2513]) ).
tcf(c_182339,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : k3_tarski(k3_tarski(k2_tarski(X0,k2_tarski(k1_setfam_1(k2_tarski(X1,X2)),k1_setfam_1(k2_tarski(X3,X2)))))) = k3_tarski(k2_tarski(k3_tarski(X0),k4_xboole_0(X2,k4_xboole_0(k4_xboole_0(X2,X1),X3)))),
inference(superposition,[status(thm)],[c_56414,c_2509]) ).
tcf(c_182340,plain,
! [X0: $i,X1: $i] : k4_xboole_0(X0,k4_xboole_0(k4_xboole_0(X0,X1),k1_setfam_1(k2_tarski(X1,X0)))) = k1_setfam_1(k2_tarski(X1,X0)),
inference(superposition,[status(thm)],[c_56414,c_48096]) ).
tcf(c_182346,plain,
! [X0: $i,X1: $i] : k3_tarski(k2_tarski(k1_setfam_1(k2_tarski(X0,X1)),np__0)) = k1_setfam_1(k2_tarski(X1,X0)),
inference(light_normalisation,[status(thm)],[c_182306,c_2532,c_159239]) ).
tcf(c_182347,plain,
! [X0: $i] : k4_xboole_0(np__0,k4_xboole_0(np__0,X0)) = k3_tarski(k1_zfmisc_1(np__0)),
inference(light_normalisation,[status(thm)],[c_182305,c_1739,c_47417,c_160609]) ).
tcf(c_182348,plain,
k3_tarski(k1_zfmisc_1(np__0)) = k4_xboole_0(np__0,np__0),
inference(light_normalisation,[status(thm)],[c_182347,c_1739]) ).
tcf(c_182349,plain,
! [X0: $i,X1: $i] : k3_tarski(k2_tarski(np__0,k1_setfam_1(k2_tarski(X0,X1)))) = k1_setfam_1(k2_tarski(X1,X0)),
inference(light_normalisation,[status(thm)],[c_182294,c_1740,c_2532]) ).
tcf(c_182355,plain,
k4_xboole_0(np__0,k4_xboole_0(np__0,np__0)) = k3_tarski(k1_zfmisc_1(np__0)),
inference(light_normalisation,[status(thm)],[c_182311,c_1739,c_47417,c_160609,c_165500]) ).
tcf(c_182367,plain,
! [X0: $i,X1: $i] : k4_xboole_0(k2_tarski(X0,X0),k4_xboole_0(k4_xboole_0(k2_tarski(X0,X0),np__0),X1)) = k3_tarski(k2_tarski(np__0,k1_setfam_1(k2_tarski(X1,k2_tarski(X0,X0))))),
inference(light_normalisation,[status(thm)],[c_182300,c_170472]) ).
tcf(c_182370,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X1 )
| ( k3_tarski(k2_tarski(k1_setfam_1(k4_xboole_0(k2_tarski(X0,X1),k2_tarski(X1,X1))),k1_setfam_1(k2_tarski(X2,X0)))) = k4_xboole_0(X0,k4_xboole_0(np__0,X2)) ) ),
inference(light_normalisation,[status(thm)],[c_182296,c_45740]) ).
tcf(c_182434,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_tarski(k4_xboole_0(X0,X3),X1)
| ~ r1_tarski(X0,k4_xboole_0(X1,X2)) ),
inference(superposition,[status(thm)],[c_1730,c_2436]) ).
tcf(c_182436,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k7_relat_1(k4_xboole_0(X0,X1),X2),X0)
| ~ v1_relat_1(k4_xboole_0(X0,X1)) ),
inference(superposition,[status(thm)],[c_2067,c_2436]) ).
tcf(c_182437,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k1_relat_1(k7_relat_1(X0,k4_xboole_0(X1,X2))),X1)
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_2068,c_2436]) ).
tcf(c_182438,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k5_relat_1(k4_xboole_0(X0,X1),k6_partfun1(X2)),X0)
| ~ v1_relat_1(k4_xboole_0(X0,X1)) ),
inference(superposition,[status(thm)],[c_2193,c_2436]) ).
tcf(c_182439,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k5_relat_1(k6_partfun1(X2),k4_xboole_0(X0,X1)),X0)
| ~ v1_relat_1(k4_xboole_0(X0,X1)) ),
inference(superposition,[status(thm)],[c_2194,c_2436]) ).
tcf(c_182440,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k1_setfam_1(X2),X0)
| ~ r2_hidden(k4_xboole_0(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_2541,c_2436]) ).
tcf(c_182441,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k8_relat_1(X2,k4_xboole_0(X0,X1)),X0)
| ~ v1_relat_1(k4_xboole_0(X0,X1)) ),
inference(superposition,[status(thm)],[c_3314,c_2436]) ).
tcf(c_182442,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(k4_xboole_0(X0,X1))
| r1_tarski(sK87(k4_xboole_0(X0,X1)),X0) ),
inference(superposition,[status(thm)],[c_167342,c_2436]) ).
tcf(c_182443,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(k4_xboole_0(X0,X1))
| r1_tarski(sK264(k4_xboole_0(X0,X1)),X0) ),
inference(superposition,[status(thm)],[c_167344,c_2436]) ).
tcf(c_182444,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(k4_xboole_0(X0,X1))
| r1_tarski(sK265(k4_xboole_0(X0,X1)),X0) ),
inference(superposition,[status(thm)],[c_167345,c_2436]) ).
tcf(c_182446,plain,
! [X0: $i,X1: $i] : r1_tarski(k1_setfam_1(k1_zfmisc_1(k4_xboole_0(X0,X1))),X0),
inference(superposition,[status(thm)],[c_160376,c_2436]) ).
tcf(c_182449,plain,
! [X0: $i,X1: $i] : r1_tarski(sK52(k1_zfmisc_1(k4_xboole_0(X0,X1))),X0),
inference(superposition,[status(thm)],[c_167340,c_2436]) ).
tcf(c_182450,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(X0,X2)
| ~ r1_tarski(X0,k1_setfam_1(k2_tarski(X1,X2))) ),
inference(superposition,[status(thm)],[c_48896,c_2436]) ).
tcf(c_182451,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(X0,X1)
| ~ r1_tarski(X0,k1_setfam_1(k2_tarski(X1,X2))) ),
inference(superposition,[status(thm)],[c_2532,c_2436]) ).
tcf(c_182452,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_tarski(X0,k2_zfmisc_1(X1,X3))
| ~ r1_tarski(X0,k2_zfmisc_1(k4_xboole_0(X1,X2),X3)) ),
inference(superposition,[status(thm)],[c_1713,c_2436]) ).
tcf(c_182453,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_tarski(X0,k2_zfmisc_1(X1,X2))
| ~ r1_tarski(X0,k2_zfmisc_1(X1,k4_xboole_0(X2,X3))) ),
inference(superposition,[status(thm)],[c_1714,c_2436]) ).
tcf(c_182454,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_tarski(X0,X1)
| ~ r1_tarski(X0,k4_xboole_0(k4_xboole_0(X1,X2),X3)) ),
inference(superposition,[status(thm)],[c_484,c_2436]) ).
tcf(c_182456,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,X1)
| ~ r1_tarski(X0,np__0) ),
inference(superposition,[status(thm)],[c_45740,c_2436]) ).
tcf(c_182457,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(X0,k3_tarski(k2_tarski(X1,X2)))
| ~ r1_tarski(X0,k4_xboole_0(X1,X2)) ),
inference(superposition,[status(thm)],[c_485,c_2436]) ).
tcf(c_182459,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,k2_tarski(X1,X1))
| ~ r1_tarski(X0,np__0) ),
inference(superposition,[status(thm)],[c_48462,c_2436]) ).
tcf(c_182462,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(X0,k3_tarski(k2_tarski(X1,X2)))
| ~ r1_tarski(X0,k5_xboole_0(X1,X2)) ),
inference(superposition,[status(thm)],[c_51197,c_2436]) ).
tcf(c_182464,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(X0,k2_tarski(X1,X2))
| ( X1 = X2 )
| ~ r1_tarski(X0,k2_tarski(X1,X1)) ),
inference(superposition,[status(thm)],[c_54771,c_2436]) ).
tcf(c_182465,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_tarski(X0,k1_setfam_1(k2_tarski(X1,X2)))
| ~ r1_tarski(X0,k4_xboole_0(k1_setfam_1(k2_tarski(X1,X2)),X3)) ),
inference(superposition,[status(thm)],[c_55176,c_2436]) ).
tcf(c_182552,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_xboole_0(k4_xboole_0(X0,X3),X2)
| ~ r1_tarski(X0,k4_xboole_0(X1,X2)) ),
inference(superposition,[status(thm)],[c_1730,c_2437]) ).
tcf(c_182553,plain,
! [X0: $i,X1: $i,X2: $i] : r1_xboole_0(k4_xboole_0(k4_xboole_0(X0,X1),X2),X1),
inference(superposition,[status(thm)],[c_1734,c_2437]) ).
tcf(c_182554,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_xboole_0(k7_relat_1(k4_xboole_0(X0,X1),X2),X1)
| ~ v1_relat_1(k4_xboole_0(X0,X1)) ),
inference(superposition,[status(thm)],[c_2067,c_2437]) ).
tcf(c_182555,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_xboole_0(k1_relat_1(k7_relat_1(X0,k4_xboole_0(X1,X2))),X2)
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_2068,c_2437]) ).
tcf(c_182556,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_xboole_0(k5_relat_1(k4_xboole_0(X0,X1),k6_partfun1(X2)),X1)
| ~ v1_relat_1(k4_xboole_0(X0,X1)) ),
inference(superposition,[status(thm)],[c_2193,c_2437]) ).
tcf(c_182557,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_xboole_0(k5_relat_1(k6_partfun1(X2),k4_xboole_0(X0,X1)),X1)
| ~ v1_relat_1(k4_xboole_0(X0,X1)) ),
inference(superposition,[status(thm)],[c_2194,c_2437]) ).
tcf(c_182558,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_xboole_0(k1_setfam_1(X2),X1)
| ~ r2_hidden(k4_xboole_0(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_2541,c_2437]) ).
tcf(c_182559,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_xboole_0(k8_relat_1(X2,k4_xboole_0(X0,X1)),X1)
| ~ v1_relat_1(k4_xboole_0(X0,X1)) ),
inference(superposition,[status(thm)],[c_3314,c_2437]) ).
tcf(c_182560,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(k4_xboole_0(X0,X1))
| r1_xboole_0(sK87(k4_xboole_0(X0,X1)),X1) ),
inference(superposition,[status(thm)],[c_167342,c_2437]) ).
tcf(c_182561,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(k4_xboole_0(X0,X1))
| r1_xboole_0(sK264(k4_xboole_0(X0,X1)),X1) ),
inference(superposition,[status(thm)],[c_167344,c_2437]) ).
tcf(c_182562,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(k4_xboole_0(X0,X1))
| r1_xboole_0(sK265(k4_xboole_0(X0,X1)),X1) ),
inference(superposition,[status(thm)],[c_167345,c_2437]) ).
tcf(c_182563,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : r1_xboole_0(k4_xboole_0(k4_xboole_0(k4_xboole_0(X0,X1),X2),X3),X1),
inference(superposition,[status(thm)],[c_159540,c_2437]) ).
tcf(c_182564,plain,
! [X0: $i,X1: $i] : r1_xboole_0(k1_setfam_1(k1_zfmisc_1(k4_xboole_0(X0,X1))),X1),
inference(superposition,[status(thm)],[c_160376,c_2437]) ).
tcf(c_182565,plain,
! [X0: $i,X1: $i,X2: $i] : r1_xboole_0(k1_setfam_1(k2_tarski(k4_xboole_0(X0,X1),X2)),X1),
inference(superposition,[status(thm)],[c_160602,c_2437]) ).
tcf(c_182566,plain,
! [X0: $i,X1: $i,X2: $i] : r1_xboole_0(k1_setfam_1(k2_tarski(X0,k4_xboole_0(X1,X2))),X2),
inference(superposition,[status(thm)],[c_162385,c_2437]) ).
tcf(c_182567,plain,
! [X0: $i,X1: $i] : r1_xboole_0(sK52(k1_zfmisc_1(k4_xboole_0(X0,X1))),X1),
inference(superposition,[status(thm)],[c_167340,c_2437]) ).
tcf(c_182568,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_xboole_0(X0,k4_xboole_0(X2,X1))
| ~ r1_tarski(X0,k1_setfam_1(k2_tarski(X1,X2))) ),
inference(superposition,[status(thm)],[c_48896,c_2437]) ).
tcf(c_182569,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_xboole_0(X0,k4_xboole_0(X1,X2))
| ~ r1_tarski(X0,k1_setfam_1(k2_tarski(X1,X2))) ),
inference(superposition,[status(thm)],[c_2532,c_2437]) ).
tcf(c_182570,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_xboole_0(X0,k2_zfmisc_1(X2,X3))
| ~ r1_tarski(X0,k2_zfmisc_1(k4_xboole_0(X1,X2),X3)) ),
inference(superposition,[status(thm)],[c_1713,c_2437]) ).
tcf(c_182571,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_xboole_0(X0,k2_zfmisc_1(X1,X3))
| ~ r1_tarski(X0,k2_zfmisc_1(X1,k4_xboole_0(X2,X3))) ),
inference(superposition,[status(thm)],[c_1714,c_2437]) ).
tcf(c_182572,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_xboole_0(X0,k3_tarski(k2_tarski(X2,X3)))
| ~ r1_tarski(X0,k4_xboole_0(k4_xboole_0(X1,X2),X3)) ),
inference(superposition,[status(thm)],[c_484,c_2437]) ).
tcf(c_182576,plain,
! [X0: $i,X1: $i] :
( r1_xboole_0(X0,X1)
| ~ r1_tarski(X0,np__0) ),
inference(superposition,[status(thm)],[c_1739,c_2437]) ).
tcf(c_182577,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_xboole_0(X0,k2_tarski(X1,X2))
| ~ r1_tarski(X0,np__0) ),
inference(superposition,[status(thm)],[c_48462,c_2437]) ).
tcf(c_182579,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_xboole_0(X0,k1_setfam_1(k2_tarski(X2,X1)))
| ~ r1_tarski(X0,k4_xboole_0(X1,X2)) ),
inference(superposition,[status(thm)],[c_48904,c_2437]) ).
tcf(c_182581,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_xboole_0(X0,k2_tarski(X2,X2))
| ( X1 = X2 )
| ~ r1_tarski(X0,k2_tarski(X1,X1)) ),
inference(superposition,[status(thm)],[c_56249,c_2437]) ).
tcf(c_182583,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_xboole_0(X0,k1_setfam_1(k2_tarski(X3,X2)))
| ~ r1_tarski(X0,k4_xboole_0(k1_setfam_1(k2_tarski(X1,X2)),X3)) ),
inference(superposition,[status(thm)],[c_55176,c_2437]) ).
tcf(c_182683,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_xboole_0(X0,k1_setfam_1(k2_tarski(X1,X2)))
| ~ r1_tarski(X0,k4_xboole_0(X1,X2)) ),
inference(superposition,[status(thm)],[c_2532,c_2443]) ).
tcf(c_182684,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_xboole_0(X0,k2_zfmisc_1(k4_xboole_0(X3,X1),X2))
| ~ r1_tarski(X0,k2_zfmisc_1(X1,X2)) ),
inference(superposition,[status(thm)],[c_1713,c_2443]) ).
tcf(c_182685,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_xboole_0(X0,k2_zfmisc_1(X1,k4_xboole_0(X3,X2)))
| ~ r1_tarski(X0,k2_zfmisc_1(X1,X2)) ),
inference(superposition,[status(thm)],[c_1714,c_2443]) ).
tcf(c_182686,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_xboole_0(X0,k4_xboole_0(k4_xboole_0(X3,X1),X2))
| ~ r1_tarski(X0,k3_tarski(k2_tarski(X1,X2))) ),
inference(superposition,[status(thm)],[c_484,c_2443]) ).
tcf(c_182694,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_xboole_0(X0,k5_xboole_0(X2,X1))
| ~ r1_tarski(X0,k1_setfam_1(k2_tarski(X1,X2))) ),
inference(superposition,[status(thm)],[c_51197,c_2443]) ).
tcf(c_182697,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_xboole_0(X0,k4_xboole_0(k1_setfam_1(k2_tarski(X3,X2)),X1))
| ~ r1_tarski(X0,k1_setfam_1(k2_tarski(X1,X2))) ),
inference(superposition,[status(thm)],[c_55176,c_2443]) ).
tcf(c_182698,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_xboole_0(k4_xboole_0(X2,X1),X0)
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_2443,c_2470]) ).
tcf(c_182699,plain,
! [X0: $i,X1: $i] :
( ( k4_xboole_0(X0,X1) = np__0 )
| ~ r1_tarski(k4_xboole_0(X0,X1),X1) ),
inference(superposition,[status(thm)],[c_2443,c_2466]) ).
tcf(c_182731,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_xboole_0(X0,k1_setfam_1(k2_tarski(X2,X1)))
| ~ r1_xboole_0(X0,X1) ),
inference(superposition,[status(thm)],[c_48896,c_2449]) ).
tcf(c_182732,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_xboole_0(X0,k1_setfam_1(k2_tarski(X1,X2)))
| ~ r1_xboole_0(X0,X1) ),
inference(superposition,[status(thm)],[c_2532,c_2449]) ).
tcf(c_182733,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_xboole_0(X0,k2_zfmisc_1(k4_xboole_0(X1,X3),X2))
| ~ r1_xboole_0(X0,k2_zfmisc_1(X1,X2)) ),
inference(superposition,[status(thm)],[c_1713,c_2449]) ).
tcf(c_182734,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_xboole_0(X0,k2_zfmisc_1(X1,k4_xboole_0(X2,X3)))
| ~ r1_xboole_0(X0,k2_zfmisc_1(X1,X2)) ),
inference(superposition,[status(thm)],[c_1714,c_2449]) ).
tcf(c_182735,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_xboole_0(X0,k4_xboole_0(k4_xboole_0(X1,X2),X3))
| ~ r1_xboole_0(X0,X1) ),
inference(superposition,[status(thm)],[c_484,c_2449]) ).
tcf(c_182738,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_xboole_0(X0,k4_xboole_0(X1,X2))
| ~ r1_xboole_0(X0,k3_tarski(k2_tarski(X1,X2))) ),
inference(superposition,[status(thm)],[c_485,c_2449]) ).
tcf(c_182743,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_xboole_0(X0,k5_xboole_0(X1,X2))
| ~ r1_xboole_0(X0,k3_tarski(k2_tarski(X1,X2))) ),
inference(superposition,[status(thm)],[c_51197,c_2449]) ).
tcf(c_182745,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_xboole_0(X0,k2_tarski(X1,X1))
| ( X1 = X2 )
| ~ r1_xboole_0(X0,k2_tarski(X1,X2)) ),
inference(superposition,[status(thm)],[c_54771,c_2449]) ).
tcf(c_182746,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_xboole_0(X0,k4_xboole_0(k1_setfam_1(k2_tarski(X1,X2)),X3))
| ~ r1_xboole_0(X0,k1_setfam_1(k2_tarski(X1,X2))) ),
inference(superposition,[status(thm)],[c_55176,c_2449]) ).
tcf(c_182747,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_xboole_0(k4_xboole_0(X1,X2),X0)
| ~ r1_xboole_0(X0,X1) ),
inference(superposition,[status(thm)],[c_2449,c_2470]) ).
tcf(c_182748,plain,
! [X0: $i,X1: $i] :
( ( k4_xboole_0(X0,X1) = np__0 )
| ~ r1_xboole_0(k4_xboole_0(X0,X1),X0) ),
inference(superposition,[status(thm)],[c_2449,c_2466]) ).
tcf(c_182785,plain,
( v3_struct_0(sK41)
| ~ l1_struct_0(sK41)
| ~ v1_xboole_0(u1_struct_0(sK41)) ),
inference(superposition,[status(thm)],[c_173761,c_356]) ).
tcf(c_182786,plain,
( m1_subset_1(u1_struct_0(sK41),k1_zfmisc_1(u1_struct_0(sK41)))
| ~ l1_struct_0(sK41) ),
inference(superposition,[status(thm)],[c_173761,c_341]) ).
tcf(c_182787,plain,
m1_subset_1(u1_struct_0(sK41),k1_zfmisc_1(u1_struct_0(sK41))),
inference(forward_subsumption_resolution,[status(thm)],[c_182786,c_159268]) ).
tcf(c_182788,plain,
( v3_struct_0(sK41)
| ~ v1_xboole_0(u1_struct_0(sK41)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_182785,c_159268]) ).
tcf(c_182791,plain,
( v3_struct_0(sK277)
| ~ l1_struct_0(sK277)
| ~ v1_xboole_0(u1_struct_0(sK277)) ),
inference(superposition,[status(thm)],[c_173762,c_356]) ).
tcf(c_182792,plain,
( m1_subset_1(u1_struct_0(sK277),k1_zfmisc_1(u1_struct_0(sK277)))
| ~ l1_struct_0(sK277) ),
inference(superposition,[status(thm)],[c_173762,c_341]) ).
tcf(c_182793,plain,
m1_subset_1(u1_struct_0(sK277),k1_zfmisc_1(u1_struct_0(sK277))),
inference(forward_subsumption_resolution,[status(thm)],[c_182792,c_159269]) ).
tcf(c_182794,plain,
~ v1_xboole_0(u1_struct_0(sK277)),
inference(forward_subsumption_resolution,[status(thm)],[c_182791,c_1793,c_159269]) ).
tcf(c_182802,plain,
( v3_struct_0(sK278)
| ~ l1_struct_0(sK278)
| ~ v1_xboole_0(u1_struct_0(sK278)) ),
inference(superposition,[status(thm)],[c_173763,c_356]) ).
tcf(c_182803,plain,
( m1_subset_1(u1_struct_0(sK278),k1_zfmisc_1(u1_struct_0(sK278)))
| ~ l1_struct_0(sK278) ),
inference(superposition,[status(thm)],[c_173763,c_341]) ).
tcf(c_182804,plain,
m1_subset_1(u1_struct_0(sK278),k1_zfmisc_1(u1_struct_0(sK278))),
inference(forward_subsumption_resolution,[status(thm)],[c_182803,c_159270]) ).
tcf(c_182805,plain,
( v3_struct_0(sK278)
| ~ v1_xboole_0(u1_struct_0(sK278)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_182802,c_159270]) ).
tcf(c_182808,plain,
( v3_struct_0(sK181)
| ~ l1_struct_0(sK181)
| ~ v1_xboole_0(u1_struct_0(sK181)) ),
inference(superposition,[status(thm)],[c_173765,c_356]) ).
tcf(c_182809,plain,
( m1_subset_1(u1_struct_0(sK181),k1_zfmisc_1(u1_struct_0(sK181)))
| ~ l1_struct_0(sK181) ),
inference(superposition,[status(thm)],[c_173765,c_341]) ).
tcf(c_182810,plain,
m1_subset_1(u1_struct_0(sK181),k1_zfmisc_1(u1_struct_0(sK181))),
inference(forward_subsumption_resolution,[status(thm)],[c_182809,c_159589]) ).
tcf(c_182811,plain,
~ v1_xboole_0(u1_struct_0(sK181)),
inference(forward_subsumption_resolution,[status(thm)],[c_182808,c_907,c_159589]) ).
tcf(c_182813,plain,
( v3_struct_0(sK182)
| ~ l1_struct_0(sK182)
| ~ v1_xboole_0(u1_struct_0(sK182)) ),
inference(superposition,[status(thm)],[c_173766,c_356]) ).
tcf(c_182814,plain,
( m1_subset_1(u1_struct_0(sK182),k1_zfmisc_1(u1_struct_0(sK182)))
| ~ l1_struct_0(sK182) ),
inference(superposition,[status(thm)],[c_173766,c_341]) ).
tcf(c_182815,plain,
m1_subset_1(u1_struct_0(sK182),k1_zfmisc_1(u1_struct_0(sK182))),
inference(forward_subsumption_resolution,[status(thm)],[c_182814,c_159590]) ).
tcf(c_182816,plain,
~ v1_xboole_0(u1_struct_0(sK182)),
inference(forward_subsumption_resolution,[status(thm)],[c_182813,c_929,c_159590]) ).
tcf(c_182818,plain,
( v3_struct_0(sK183)
| ~ l1_struct_0(sK183)
| ~ v1_xboole_0(u1_struct_0(sK183)) ),
inference(superposition,[status(thm)],[c_173767,c_356]) ).
tcf(c_182819,plain,
( m1_subset_1(u1_struct_0(sK183),k1_zfmisc_1(u1_struct_0(sK183)))
| ~ l1_struct_0(sK183) ),
inference(superposition,[status(thm)],[c_173767,c_341]) ).
tcf(c_182820,plain,
m1_subset_1(u1_struct_0(sK183),k1_zfmisc_1(u1_struct_0(sK183))),
inference(forward_subsumption_resolution,[status(thm)],[c_182819,c_159591]) ).
tcf(c_182821,plain,
~ v1_xboole_0(u1_struct_0(sK183)),
inference(forward_subsumption_resolution,[status(thm)],[c_182818,c_943,c_159591]) ).
tcf(c_182841,plain,
( v3_struct_0(sK191)
| ~ l1_struct_0(sK191)
| ~ v1_xboole_0(u1_struct_0(sK191)) ),
inference(superposition,[status(thm)],[c_173768,c_356]) ).
tcf(c_182842,plain,
( m1_subset_1(u1_struct_0(sK191),k1_zfmisc_1(u1_struct_0(sK191)))
| ~ l1_struct_0(sK191) ),
inference(superposition,[status(thm)],[c_173768,c_341]) ).
tcf(c_182843,plain,
m1_subset_1(u1_struct_0(sK191),k1_zfmisc_1(u1_struct_0(sK191))),
inference(forward_subsumption_resolution,[status(thm)],[c_182842,c_159592]) ).
tcf(c_182844,plain,
~ v1_xboole_0(u1_struct_0(sK191)),
inference(forward_subsumption_resolution,[status(thm)],[c_182841,c_1050,c_159592]) ).
tcf(c_182845,plain,
! [X0: $i,X1: $i,X2: $i] : k4_xboole_0(k1_setfam_1(k2_tarski(X0,X1)),k1_setfam_1(k2_tarski(X0,X2))) = k4_xboole_0(k1_setfam_1(k2_tarski(X1,X0)),X2),
inference(demodulation,[status(thm)],[c_56417,c_172142]) ).
tcf(c_182850,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : k4_xboole_0(k4_xboole_0(k1_setfam_1(k2_tarski(X0,X1)),X2),k1_setfam_1(k2_tarski(k4_xboole_0(X0,X2),X3))) = k4_xboole_0(k1_setfam_1(k2_tarski(X1,k4_xboole_0(X0,X2))),X3),
inference(superposition,[status(thm)],[c_52024,c_182845]) ).
tcf(c_182851,plain,
! [X0: $i,X1: $i,X2: $i] : k4_xboole_0(k1_zfmisc_1(k1_setfam_1(k2_tarski(X0,X1))),k1_setfam_1(k2_tarski(k1_zfmisc_1(X0),X2))) = k4_xboole_0(k1_setfam_1(k2_tarski(k1_zfmisc_1(X1),k1_zfmisc_1(X0))),X2),
inference(superposition,[status(thm)],[c_52026,c_182845]) ).
tcf(c_182852,plain,
! [X0: $i,X1: $i,X2: $i] : k4_xboole_0(k5_finsub_1(k1_setfam_1(k2_tarski(X0,X1))),k1_setfam_1(k2_tarski(k5_finsub_1(X0),X2))) = k4_xboole_0(k1_setfam_1(k2_tarski(k5_finsub_1(X1),k5_finsub_1(X0))),X2),
inference(superposition,[status(thm)],[c_52028,c_182845]) ).
tcf(c_182853,plain,
! [X0: $i,X1: $i] : k4_xboole_0(k1_setfam_1(k2_tarski(np__0,X0)),X1) = k4_xboole_0(np__0,k1_setfam_1(k2_tarski(X0,X1))),
inference(superposition,[status(thm)],[c_160609,c_182845]) ).
tcf(c_182854,plain,
! [X0: $i,X1: $i] : k4_xboole_0(k1_setfam_1(k2_tarski(X0,np__0)),X1) = k4_xboole_0(np__0,k1_setfam_1(k2_tarski(np__0,X1))),
inference(superposition,[status(thm)],[c_160608,c_182845]) ).
tcf(c_182856,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X1 )
| ( k4_xboole_0(k1_setfam_1(k4_xboole_0(k2_tarski(X0,X1),k2_tarski(X1,X1))),k1_setfam_1(k2_tarski(X0,X2))) = k4_xboole_0(k1_setfam_1(k4_xboole_0(k2_tarski(X0,X1),k2_tarski(X1,X1))),X2) ) ),
inference(superposition,[status(thm)],[c_54771,c_182845]) ).
tcf(c_182858,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = np__0 )
| ( k4_xboole_0(k1_setfam_1(k2_relat_1(sK46(X0,X1))),k1_setfam_1(k2_tarski(X1,X2))) = k4_xboole_0(k1_setfam_1(k2_relat_1(sK46(X0,X1))),X2) ) ),
inference(superposition,[status(thm)],[c_51182,c_182845]) ).
tcf(c_182859,plain,
! [X0: $i] : k4_xboole_0(k1_setfam_1(k1_zfmisc_1(np__0)),k1_setfam_1(k2_tarski(np__0,X0))) = k4_xboole_0(k1_setfam_1(k1_zfmisc_1(np__0)),X0),
inference(superposition,[status(thm)],[c_47417,c_182845]) ).
tcf(c_182860,plain,
! [X0: $i,X1: $i] : k4_xboole_0(k1_setfam_1(k1_zfmisc_1(k2_tarski(X0,X0))),k1_setfam_1(k2_tarski(np__0,X1))) = k4_xboole_0(k1_setfam_1(k2_tarski(k2_tarski(X0,X0),np__0)),X1),
inference(superposition,[status(thm)],[c_50679,c_182845]) ).
tcf(c_182861,plain,
! [X0: $i,X1: $i] : k4_xboole_0(k1_setfam_1(k2_tarski(X0,X1)),X0) = k4_xboole_0(k1_setfam_1(k2_tarski(X1,X0)),X0),
inference(superposition,[status(thm)],[c_47410,c_182845]) ).
tcf(c_182862,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : k4_xboole_0(k1_setfam_1(k2_tarski(k4_xboole_0(X0,X1),X2)),k4_xboole_0(k1_setfam_1(k2_tarski(X0,X3)),X1)) = k4_xboole_0(k1_setfam_1(k2_tarski(X2,k4_xboole_0(X0,X1))),X3),
inference(superposition,[status(thm)],[c_52024,c_182845]) ).
tcf(c_182863,plain,
! [X0: $i,X1: $i,X2: $i] : k4_xboole_0(k1_setfam_1(k2_tarski(k1_zfmisc_1(X0),X1)),k1_zfmisc_1(k1_setfam_1(k2_tarski(X0,X2)))) = k4_xboole_0(k1_setfam_1(k2_tarski(X1,k1_zfmisc_1(X0))),k1_zfmisc_1(X2)),
inference(superposition,[status(thm)],[c_52026,c_182845]) ).
tcf(c_182864,plain,
! [X0: $i,X1: $i,X2: $i] : k4_xboole_0(k1_setfam_1(k2_tarski(k5_finsub_1(X0),X1)),k5_finsub_1(k1_setfam_1(k2_tarski(X0,X2)))) = k4_xboole_0(k1_setfam_1(k2_tarski(X1,k5_finsub_1(X0))),k5_finsub_1(X2)),
inference(superposition,[status(thm)],[c_52028,c_182845]) ).
tcf(c_182865,plain,
! [X0: $i,X1: $i] : k4_xboole_0(k1_setfam_1(k2_tarski(X0,X1)),np__0) = k4_xboole_0(k1_setfam_1(k2_tarski(X1,X0)),np__0),
inference(superposition,[status(thm)],[c_160609,c_182845]) ).
tcf(c_182866,plain,
! [X0: $i,X1: $i] : k4_xboole_0(k1_setfam_1(k2_tarski(X0,np__0)),X1) = k4_xboole_0(k1_setfam_1(k2_tarski(np__0,X0)),np__0),
inference(superposition,[status(thm)],[c_160608,c_182845]) ).
tcf(c_182868,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X2 )
| ( k4_xboole_0(k1_setfam_1(k2_tarski(X0,X1)),k1_setfam_1(k4_xboole_0(k2_tarski(X0,X2),k2_tarski(X2,X2)))) = k4_xboole_0(k1_setfam_1(k2_tarski(X1,X0)),X0) ) ),
inference(superposition,[status(thm)],[c_54771,c_182845]) ).
tcf(c_182869,plain,
! [X0: $i,X1: $i,X2: $i] : k4_xboole_0(k1_setfam_1(k2_tarski(X0,X1)),k1_setfam_1(k2_tarski(X2,X0))) = k4_xboole_0(k1_setfam_1(k2_tarski(X1,X0)),X2),
inference(superposition,[status(thm)],[c_2707,c_182845]) ).
tcf(c_182870,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2 = np__0 )
| ( k4_xboole_0(k1_setfam_1(k2_tarski(X0,X1)),k1_setfam_1(k2_relat_1(sK46(X2,X0)))) = k4_xboole_0(k1_setfam_1(k2_tarski(X1,X0)),X0) ) ),
inference(superposition,[status(thm)],[c_51182,c_182845]) ).
tcf(c_182871,plain,
! [X0: $i] : k4_xboole_0(k1_setfam_1(k2_tarski(np__0,X0)),k1_setfam_1(k1_zfmisc_1(np__0))) = k4_xboole_0(k1_setfam_1(k2_tarski(X0,np__0)),np__0),
inference(superposition,[status(thm)],[c_47417,c_182845]) ).
tcf(c_182872,plain,
! [X0: $i,X1: $i] : k4_xboole_0(k1_setfam_1(k2_tarski(np__0,X0)),k1_setfam_1(k1_zfmisc_1(k2_tarski(X1,X1)))) = k4_xboole_0(k1_setfam_1(k2_tarski(X0,np__0)),k2_tarski(X1,X1)),
inference(superposition,[status(thm)],[c_50679,c_182845]) ).
tcf(c_182873,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : k3_tarski(k2_tarski(k4_xboole_0(k1_setfam_1(k2_tarski(X0,X1)),X2),k4_xboole_0(k1_setfam_1(k2_tarski(X1,X0)),X3))) = k4_xboole_0(k1_setfam_1(k2_tarski(X1,X0)),k1_setfam_1(k2_tarski(X3,k1_setfam_1(k2_tarski(X1,X2))))),
inference(superposition,[status(thm)],[c_182845,c_52809]) ).
tcf(c_182874,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : k3_tarski(k2_tarski(k4_xboole_0(k1_setfam_1(k2_tarski(X0,X1)),X2),k1_setfam_1(k2_tarski(X3,k1_setfam_1(k2_tarski(X1,X0)))))) = k4_xboole_0(k1_setfam_1(k2_tarski(X1,X0)),k4_xboole_0(k1_setfam_1(k2_tarski(X1,X2)),X3)),
inference(superposition,[status(thm)],[c_182845,c_52807]) ).
tcf(c_182875,plain,
! [X0: $i,X1: $i,X2: $i] : ~ r2_hidden(k1_setfam_1(k2_tarski(X0,X1)),k4_xboole_0(k1_setfam_1(k2_tarski(X1,X0)),X2)),
inference(superposition,[status(thm)],[c_182845,c_167156]) ).
tcf(c_182876,plain,
! [X0: $i,X1: $i,X2: $i] : k4_xboole_0(k1_setfam_1(k2_tarski(X0,X1)),k4_xboole_0(k1_setfam_1(k2_tarski(X1,X0)),X2)) = k1_setfam_1(k2_tarski(k1_setfam_1(k2_tarski(X0,X2)),k1_setfam_1(k2_tarski(X0,X1)))),
inference(superposition,[status(thm)],[c_182845,c_48896]) ).
tcf(c_182877,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : r1_tarski(k4_xboole_0(k4_xboole_0(k1_setfam_1(k2_tarski(X0,X1)),X2),X3),k1_setfam_1(k2_tarski(X1,X0))),
inference(superposition,[status(thm)],[c_182845,c_159540]) ).
tcf(c_182878,plain,
! [X0: $i,X1: $i,X2: $i] : r1_tarski(k4_xboole_0(k1_setfam_1(k2_tarski(X0,X1)),X2),k5_xboole_0(k1_setfam_1(k2_tarski(X1,X0)),k1_setfam_1(k2_tarski(X1,X2)))),
inference(superposition,[status(thm)],[c_182845,c_2608]) ).
tcf(c_182879,plain,
! [X0: $i,X1: $i,X2: $i] : r1_xboole_0(k4_xboole_0(k1_setfam_1(k2_tarski(X0,X1)),X2),k4_xboole_0(k1_setfam_1(k2_tarski(X1,X2)),k1_setfam_1(k2_tarski(X1,X0)))),
inference(superposition,[status(thm)],[c_182845,c_2447]) ).
tcf(c_182880,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_relat_1(k4_xboole_0(k1_setfam_1(k2_tarski(X1,X0)),X2))
| ~ v1_relat_1(k1_setfam_1(k2_tarski(X0,X1))) ),
inference(superposition,[status(thm)],[c_182845,c_1711]) ).
tcf(c_182881,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_finset_1(k4_xboole_0(k1_setfam_1(k2_tarski(X1,X0)),X2))
| ~ v1_finset_1(k1_setfam_1(k2_tarski(X0,X1))) ),
inference(superposition,[status(thm)],[c_182845,c_1691]) ).
tcf(c_182882,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_membered(k4_xboole_0(k1_setfam_1(k2_tarski(X1,X0)),X2))
| ~ v1_membered(k1_setfam_1(k2_tarski(X0,X1))) ),
inference(superposition,[status(thm)],[c_182845,c_1579]) ).
tcf(c_182883,plain,
! [X0: $i,X1: $i,X2: $i] :
( v2_membered(k4_xboole_0(k1_setfam_1(k2_tarski(X1,X0)),X2))
| ~ v2_membered(k1_setfam_1(k2_tarski(X0,X1))) ),
inference(superposition,[status(thm)],[c_182845,c_1537]) ).
tcf(c_182884,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_membered(k4_xboole_0(k1_setfam_1(k2_tarski(X1,X0)),X2))
| ~ v2_membered(k1_setfam_1(k2_tarski(X0,X1))) ),
inference(superposition,[status(thm)],[c_182845,c_1536]) ).
tcf(c_182885,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_membered(k4_xboole_0(k1_setfam_1(k2_tarski(X1,X0)),X2))
| ~ v3_membered(k1_setfam_1(k2_tarski(X0,X1))) ),
inference(superposition,[status(thm)],[c_182845,c_1491]) ).
tcf(c_182886,plain,
! [X0: $i,X1: $i,X2: $i] :
( v2_membered(k4_xboole_0(k1_setfam_1(k2_tarski(X1,X0)),X2))
| ~ v3_membered(k1_setfam_1(k2_tarski(X0,X1))) ),
inference(superposition,[status(thm)],[c_182845,c_1490]) ).
tcf(c_182887,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_membered(k4_xboole_0(k1_setfam_1(k2_tarski(X1,X0)),X2))
| ~ v3_membered(k1_setfam_1(k2_tarski(X0,X1))) ),
inference(superposition,[status(thm)],[c_182845,c_1489]) ).
tcf(c_182888,plain,
! [X0: $i,X1: $i,X2: $i] :
( v4_membered(k4_xboole_0(k1_setfam_1(k2_tarski(X1,X0)),X2))
| ~ v4_membered(k1_setfam_1(k2_tarski(X0,X1))) ),
inference(superposition,[status(thm)],[c_182845,c_1443]) ).
tcf(c_182889,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_membered(k4_xboole_0(k1_setfam_1(k2_tarski(X1,X0)),X2))
| ~ v4_membered(k1_setfam_1(k2_tarski(X0,X1))) ),
inference(superposition,[status(thm)],[c_182845,c_1442]) ).
tcf(c_182890,plain,
! [X0: $i,X1: $i,X2: $i] :
( v2_membered(k4_xboole_0(k1_setfam_1(k2_tarski(X1,X0)),X2))
| ~ v4_membered(k1_setfam_1(k2_tarski(X0,X1))) ),
inference(superposition,[status(thm)],[c_182845,c_1441]) ).
tcf(c_182891,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_membered(k4_xboole_0(k1_setfam_1(k2_tarski(X1,X0)),X2))
| ~ v4_membered(k1_setfam_1(k2_tarski(X0,X1))) ),
inference(superposition,[status(thm)],[c_182845,c_1440]) ).
tcf(c_182892,plain,
! [X0: $i,X1: $i,X2: $i] :
( v5_membered(k4_xboole_0(k1_setfam_1(k2_tarski(X1,X0)),X2))
| ~ v5_membered(k1_setfam_1(k2_tarski(X0,X1))) ),
inference(superposition,[status(thm)],[c_182845,c_1353]) ).
tcf(c_182893,plain,
! [X0: $i,X1: $i,X2: $i] :
( v4_membered(k4_xboole_0(k1_setfam_1(k2_tarski(X1,X0)),X2))
| ~ v5_membered(k1_setfam_1(k2_tarski(X0,X1))) ),
inference(superposition,[status(thm)],[c_182845,c_1352]) ).
tcf(c_182894,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_membered(k4_xboole_0(k1_setfam_1(k2_tarski(X1,X0)),X2))
| ~ v5_membered(k1_setfam_1(k2_tarski(X0,X1))) ),
inference(superposition,[status(thm)],[c_182845,c_1351]) ).
tcf(c_182895,plain,
! [X0: $i,X1: $i,X2: $i] :
( v2_membered(k4_xboole_0(k1_setfam_1(k2_tarski(X1,X0)),X2))
| ~ v5_membered(k1_setfam_1(k2_tarski(X0,X1))) ),
inference(superposition,[status(thm)],[c_182845,c_1350]) ).
tcf(c_182896,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_membered(k4_xboole_0(k1_setfam_1(k2_tarski(X1,X0)),X2))
| ~ v5_membered(k1_setfam_1(k2_tarski(X0,X1))) ),
inference(superposition,[status(thm)],[c_182845,c_1349]) ).
tcf(c_182897,plain,
! [X0: $i,X1: $i,X2: $i] : k3_tarski(k2_tarski(k4_xboole_0(k1_setfam_1(k2_tarski(X0,X1)),X2),k4_xboole_0(k1_setfam_1(k2_tarski(X1,X2)),k1_setfam_1(k2_tarski(X1,X0))))) = k5_xboole_0(k1_setfam_1(k2_tarski(X1,X0)),k1_setfam_1(k2_tarski(X1,X2))),
inference(superposition,[status(thm)],[c_182845,c_2624]) ).
tcf(c_182898,plain,
! [X0: $i,X1: $i,X2: $i] : k4_xboole_0(k1_setfam_1(k2_tarski(X0,X1)),k4_xboole_0(k1_setfam_1(k2_tarski(X1,X0)),X2)) = k1_setfam_1(k2_tarski(k1_setfam_1(k2_tarski(X0,X1)),k1_setfam_1(k2_tarski(X0,X2)))),
inference(superposition,[status(thm)],[c_182845,c_2532]) ).
tcf(c_182900,plain,
! [X0: $i,X1: $i,X2: $i] : r1_xboole_0(k4_xboole_0(k1_setfam_1(k2_tarski(X0,X1)),X2),k1_setfam_1(k2_tarski(X1,X2))),
inference(superposition,[status(thm)],[c_182845,c_2450]) ).
tcf(c_182901,plain,
! [X0: $i,X1: $i,X2: $i] : r1_tarski(k4_xboole_0(k1_setfam_1(k2_tarski(X0,X1)),X2),k1_setfam_1(k2_tarski(X1,X0))),
inference(superposition,[status(thm)],[c_182845,c_1734]) ).
tcf(c_182902,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : k3_tarski(k2_tarski(k4_xboole_0(k1_setfam_1(k2_tarski(X0,X1)),X2),k4_xboole_0(X3,k1_setfam_1(k2_tarski(X1,X2))))) = k4_xboole_0(k3_tarski(k2_tarski(k1_setfam_1(k2_tarski(X1,X0)),X3)),k1_setfam_1(k2_tarski(X1,X2))),
inference(superposition,[status(thm)],[c_182845,c_483]) ).
tcf(c_182903,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : k3_tarski(k2_tarski(k2_zfmisc_1(k4_xboole_0(k1_setfam_1(k2_tarski(X0,X1)),X2),X3),k2_zfmisc_1(k1_setfam_1(k2_tarski(X1,X0)),k4_xboole_0(X3,X4)))) = k4_xboole_0(k2_zfmisc_1(k1_setfam_1(k2_tarski(X1,X0)),X3),k2_zfmisc_1(k1_setfam_1(k2_tarski(X1,X2)),X4)),
inference(superposition,[status(thm)],[c_182845,c_471]) ).
tcf(c_182904,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_xboole_0(X0,k4_xboole_0(k1_setfam_1(k2_tarski(X2,X1)),X3))
| ~ r1_xboole_0(X0,k1_setfam_1(k2_tarski(X1,X2))) ),
inference(superposition,[status(thm)],[c_182845,c_2449]) ).
tcf(c_182905,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_xboole_0(X0,k1_setfam_1(k2_tarski(X2,X3)))
| ~ r1_tarski(X0,k4_xboole_0(k1_setfam_1(k2_tarski(X1,X2)),X3)) ),
inference(superposition,[status(thm)],[c_182845,c_2437]) ).
tcf(c_182906,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_tarski(X0,k1_setfam_1(k2_tarski(X2,X1)))
| ~ r1_tarski(X0,k4_xboole_0(k1_setfam_1(k2_tarski(X1,X2)),X3)) ),
inference(superposition,[status(thm)],[c_182845,c_2436]) ).
tcf(c_182907,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r2_hidden(X0,k1_setfam_1(k2_tarski(X2,X1)))
| ~ r2_hidden(X0,k4_xboole_0(k1_setfam_1(k2_tarski(X1,X2)),X3)) ),
inference(superposition,[status(thm)],[c_182845,c_1745]) ).
tcf(c_182908,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_tarski(k4_xboole_0(k1_setfam_1(k2_tarski(X1,X0)),X3),X2)
| ~ r1_tarski(k1_setfam_1(k2_tarski(X0,X1)),X2) ),
inference(superposition,[status(thm)],[c_182845,c_1730]) ).
tcf(c_182909,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : k3_tarski(k2_tarski(k4_xboole_0(k1_setfam_1(k2_tarski(X0,X1)),X2),k4_xboole_0(k1_setfam_1(k2_tarski(X1,X0)),X3))) = k4_xboole_0(k1_setfam_1(k2_tarski(X0,X1)),k1_setfam_1(k2_tarski(k1_setfam_1(k2_tarski(X0,X3)),X2))),
inference(superposition,[status(thm)],[c_182845,c_52809]) ).
tcf(c_182910,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : k4_xboole_0(k1_setfam_1(k2_tarski(k1_setfam_1(k2_tarski(X0,X1)),X2)),k1_setfam_1(k2_tarski(X0,X3))) = k1_setfam_1(k2_tarski(k4_xboole_0(k1_setfam_1(k2_tarski(X1,X0)),X3),X2)),
inference(superposition,[status(thm)],[c_182845,c_52024]) ).
tcf(c_182911,plain,
! [X0: $i,X1: $i,X2: $i] : r1_xboole_0(k1_setfam_1(k2_tarski(X0,X1)),k4_xboole_0(k1_setfam_1(k2_tarski(X2,X0)),X1)),
inference(superposition,[status(thm)],[c_182845,c_164220]) ).
tcf(c_182912,plain,
! [X0: $i,X1: $i,X2: $i] : r1_xboole_0(k4_xboole_0(k1_setfam_1(k2_tarski(X0,X1)),k1_setfam_1(k2_tarski(X0,X2))),k4_xboole_0(k1_setfam_1(k2_tarski(X2,X0)),X1)),
inference(superposition,[status(thm)],[c_182845,c_2447]) ).
tcf(c_182913,plain,
! [X0: $i,X1: $i,X2: $i] : k3_tarski(k2_tarski(k4_xboole_0(k1_setfam_1(k2_tarski(X0,X1)),k1_setfam_1(k2_tarski(X0,X2))),k4_xboole_0(k1_setfam_1(k2_tarski(X2,X0)),X1))) = k5_xboole_0(k1_setfam_1(k2_tarski(X0,X1)),k1_setfam_1(k2_tarski(X0,X2))),
inference(superposition,[status(thm)],[c_182845,c_2624]) ).
tcf(c_182914,plain,
! [X0: $i,X1: $i,X2: $i] : k5_xboole_0(k1_setfam_1(k2_tarski(X0,X1)),k4_xboole_0(k1_setfam_1(k2_tarski(X2,X0)),X1)) = k3_tarski(k2_tarski(k1_setfam_1(k2_tarski(X0,X1)),k1_setfam_1(k2_tarski(X0,X2)))),
inference(superposition,[status(thm)],[c_182845,c_2606]) ).
tcf(c_182915,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k1_setfam_1(k2_tarski(X0,X1)) = k1_setfam_1(k2_tarski(X0,X2)) )
| ( k4_xboole_0(k1_setfam_1(k2_tarski(X0,X1)),k1_setfam_1(k2_tarski(X0,X2))) != k4_xboole_0(k1_setfam_1(k2_tarski(X2,X0)),X1) ) ),
inference(superposition,[status(thm)],[c_182845,c_1738]) ).
tcf(c_182916,plain,
! [X0: $i,X1: $i,X2: $i] : k3_tarski(k2_tarski(k1_setfam_1(k2_tarski(X0,X1)),k4_xboole_0(k1_setfam_1(k2_tarski(X2,X0)),X1))) = k3_tarski(k2_tarski(k1_setfam_1(k2_tarski(X0,X1)),k1_setfam_1(k2_tarski(X0,X2)))),
inference(superposition,[status(thm)],[c_182845,c_486]) ).
tcf(c_182917,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : k3_tarski(k2_tarski(k2_zfmisc_1(k4_xboole_0(X0,X1),k1_setfam_1(k2_tarski(X2,X3))),k2_zfmisc_1(X0,k4_xboole_0(k1_setfam_1(k2_tarski(X3,X2)),X4)))) = k4_xboole_0(k2_zfmisc_1(X0,k1_setfam_1(k2_tarski(X2,X3))),k2_zfmisc_1(X1,k1_setfam_1(k2_tarski(X2,X4)))),
inference(superposition,[status(thm)],[c_182845,c_471]) ).
tcf(c_182918,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_xboole_0(X0,k4_xboole_0(k1_setfam_1(k2_tarski(X3,X1)),X2))
| ~ r1_tarski(X0,k1_setfam_1(k2_tarski(X1,X2))) ),
inference(superposition,[status(thm)],[c_182845,c_2443]) ).
tcf(c_182919,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : k3_tarski(k2_tarski(k4_xboole_0(X0,k1_setfam_1(k2_tarski(X1,X2))),k4_xboole_0(k1_setfam_1(k2_tarski(X3,X1)),X2))) = k4_xboole_0(k3_tarski(k2_tarski(X0,k1_setfam_1(k2_tarski(X1,X3)))),k1_setfam_1(k2_tarski(X1,X2))),
inference(superposition,[status(thm)],[c_182845,c_483]) ).
tcf(c_182922,plain,
! [X0: $i,X1: $i] : k4_xboole_0(k1_setfam_1(k2_tarski(X0,X1)),X0) = k4_xboole_0(k1_setfam_1(k2_tarski(X1,X0)),X1),
inference(superposition,[status(thm)],[c_182845,c_55176]) ).
tcf(c_182958,plain,
! [X0: $i] : k4_xboole_0(k4_xboole_0(np__0,np__0),np__0) = k4_xboole_0(np__0,X0),
inference(light_normalisation,[status(thm)],[c_182866,c_160599,c_160609]) ).
tcf(c_182959,plain,
k4_xboole_0(k4_xboole_0(np__0,np__0),np__0) = np__0,
inference(light_normalisation,[status(thm)],[c_182958,c_1739]) ).
tcf(c_182960,plain,
! [X0: $i,X1: $i] : k4_xboole_0(k1_setfam_1(k2_tarski(X0,X1)),X1) = np__0,
inference(light_normalisation,[status(thm)],[c_182861,c_180016]) ).
tcf(c_182978,plain,
k4_xboole_0(k4_xboole_0(np__0,np__0),np__0) = k4_xboole_0(np__0,np__0),
inference(light_normalisation,[status(thm)],[c_182871,c_160599,c_160609,c_165500]) ).
tcf(c_182979,plain,
! [X0: $i] : k4_xboole_0(k4_xboole_0(np__0,np__0),k1_setfam_1(k1_zfmisc_1(k2_tarski(X0,X0)))) = k4_xboole_0(np__0,k2_tarski(X0,X0)),
inference(light_normalisation,[status(thm)],[c_182872,c_160599,c_160609]) ).
tcf(c_182980,plain,
! [X0: $i] : k4_xboole_0(np__0,k2_tarski(X0,X0)) = k4_xboole_0(k4_xboole_0(np__0,np__0),np__0),
inference(light_normalisation,[status(thm)],[c_182979,c_170472]) ).
tcf(c_182981,plain,
! [X0: $i,X1: $i] : k4_xboole_0(k1_setfam_1(k2_tarski(k2_tarski(X0,X0),np__0)),X1) = k4_xboole_0(np__0,k1_setfam_1(k2_tarski(np__0,X1))),
inference(light_normalisation,[status(thm)],[c_182860,c_170472]) ).
tcf(c_182984,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : k4_xboole_0(k1_setfam_1(k2_tarski(X0,k1_setfam_1(k2_tarski(X1,X2)))),k1_setfam_1(k2_tarski(X1,X3))) = k1_setfam_1(k2_tarski(k4_xboole_0(k1_setfam_1(k2_tarski(X0,X1)),X3),X2)),
inference(light_normalisation,[status(thm)],[c_182910,c_172209]) ).
tcf(c_182987,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : k4_xboole_0(k4_xboole_0(k1_setfam_1(k2_tarski(X0,X1)),X2),k1_setfam_1(k2_tarski(k4_xboole_0(X0,X2),X3))) = k4_xboole_0(k4_xboole_0(k1_setfam_1(k2_tarski(X0,X1)),X2),X3),
inference(light_normalisation,[status(thm)],[c_182850,c_172142]) ).
tcf(c_182990,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k1_setfam_1(k2_tarski(X1,X0)) = k1_setfam_1(k2_tarski(X1,X2)) )
| ( k4_xboole_0(k1_setfam_1(k2_tarski(X0,X1)),X2) != k4_xboole_0(k1_setfam_1(k2_tarski(X2,X1)),X0) ) ),
inference(light_normalisation,[status(thm)],[c_182915,c_182845]) ).
tcf(c_182993,plain,
! [X0: $i,X1: $i,X2: $i] : k3_tarski(k2_tarski(k4_xboole_0(k1_setfam_1(k2_tarski(X0,X1)),X2),k4_xboole_0(k1_setfam_1(k2_tarski(X2,X1)),X0))) = k1_setfam_1(k2_tarski(X1,k5_xboole_0(X2,X0))),
inference(light_normalisation,[status(thm)],[c_182913,c_181128,c_182845]) ).
tcf(c_183053,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k5_xboole_0(X0,X1),k3_tarski(X2))
| ~ r1_tarski(k2_tarski(k4_xboole_0(X0,X1),k4_xboole_0(X1,X0)),X2) ),
inference(superposition,[status(thm)],[c_2624,c_2510]) ).
tcf(c_183054,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_tarski(k4_xboole_0(X0,k1_setfam_1(k2_tarski(X2,X1))),k3_tarski(X3))
| ~ r1_tarski(k2_tarski(k4_xboole_0(X0,X1),k4_xboole_0(X0,X2)),X3) ),
inference(superposition,[status(thm)],[c_52809,c_2510]) ).
tcf(c_183055,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( r1_tarski(k4_xboole_0(k2_zfmisc_1(X0,X2),k2_zfmisc_1(X1,X3)),k3_tarski(X4))
| ~ r1_tarski(k2_tarski(k2_zfmisc_1(k4_xboole_0(X0,X1),X2),k2_zfmisc_1(X0,k4_xboole_0(X2,X3))),X4) ),
inference(superposition,[status(thm)],[c_471,c_2510]) ).
tcf(c_183056,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_tarski(k2_zfmisc_1(X0,k3_tarski(k2_tarski(X1,X2))),k3_tarski(X3))
| ~ r1_tarski(k2_tarski(k2_zfmisc_1(X0,X1),k2_zfmisc_1(X0,X2)),X3) ),
inference(superposition,[status(thm)],[c_474,c_2510]) ).
tcf(c_183057,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_tarski(k2_zfmisc_1(k3_tarski(k2_tarski(X0,X2)),X1),k3_tarski(X3))
| ~ r1_tarski(k2_tarski(k2_zfmisc_1(X0,X1),k2_zfmisc_1(X2,X1)),X3) ),
inference(superposition,[status(thm)],[c_473,c_2510]) ).
tcf(c_183058,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_tarski(k3_tarski(k2_tarski(X0,k3_tarski(k2_tarski(X1,X2)))),k3_tarski(X3))
| ~ r1_tarski(k2_tarski(k3_tarski(k2_tarski(X0,X1)),X2),X3) ),
inference(superposition,[status(thm)],[c_500,c_2510]) ).
tcf(c_183059,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k3_tarski(k2_tarski(X0,X1)),k3_tarski(X2))
| ~ r1_tarski(k2_tarski(X0,k4_xboole_0(X1,X0)),X2) ),
inference(superposition,[status(thm)],[c_486,c_2510]) ).
tcf(c_183060,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_tarski(k4_xboole_0(k3_tarski(k2_tarski(X0,X2)),X1),k3_tarski(X3))
| ~ r1_tarski(k2_tarski(k4_xboole_0(X0,X1),k4_xboole_0(X2,X1)),X3) ),
inference(superposition,[status(thm)],[c_483,c_2510]) ).
tcf(c_183061,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k3_tarski(k2_tarski(X0,X1)),k3_tarski(X2))
| ~ r1_tarski(k2_tarski(X0,k3_tarski(k2_tarski(X0,X1))),X2) ),
inference(superposition,[status(thm)],[c_498,c_2510]) ).
tcf(c_183062,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_tarski(k3_tarski(k2_enumset1(X1,X2,X0,X2)),k3_tarski(X3))
| ~ r1_tarski(k2_tarski(X0,k3_tarski(k2_tarski(X1,X2))),X3) ),
inference(superposition,[status(thm)],[c_174660,c_2510]) ).
tcf(c_183063,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,k3_tarski(X1))
| ~ r1_tarski(k2_tarski(X0,np__0),X1) ),
inference(superposition,[status(thm)],[c_501,c_2510]) ).
tcf(c_183064,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,k3_tarski(X1))
| ~ r1_tarski(k2_tarski(X0,X0),X1) ),
inference(superposition,[status(thm)],[c_502,c_2510]) ).
tcf(c_183065,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,k3_tarski(X1))
| ~ r1_tarski(k1_zfmisc_1(X0),X1) ),
inference(superposition,[status(thm)],[c_2507,c_2510]) ).
tcf(c_183066,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k3_tarski(k3_tarski(k2_tarski(X0,X1))),k3_tarski(X2))
| ~ r1_tarski(k2_tarski(k3_tarski(X0),k3_tarski(X1)),X2) ),
inference(superposition,[status(thm)],[c_2509,c_2510]) ).
tcf(c_183067,plain,
! [X0: $i] :
( r1_tarski(np__0,k3_tarski(X0))
| ~ r1_tarski(np__0,X0) ),
inference(superposition,[status(thm)],[c_2516,c_2510]) ).
tcf(c_183068,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( r1_tarski(k2_enumset1(X0,X1,X2,X3),k3_tarski(X4))
| ~ r1_tarski(k2_tarski(k2_tarski(X0,X1),k2_tarski(X2,X3)),X4) ),
inference(superposition,[status(thm)],[c_3627,c_2510]) ).
tcf(c_183069,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(X0,k3_tarski(X2))
| ~ r1_tarski(k2_tarski(X0,k1_setfam_1(k2_tarski(X0,X1))),X2) ),
inference(superposition,[status(thm)],[c_48096,c_2510]) ).
tcf(c_183070,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k3_tarski(k2_tarski(X0,X1)),k3_tarski(X2))
| ~ r1_tarski(k2_tarski(k5_xboole_0(X0,X1),k1_setfam_1(k2_tarski(X1,X0))),X2) ),
inference(superposition,[status(thm)],[c_51640,c_2510]) ).
tcf(c_183071,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_tarski(k4_xboole_0(X1,k4_xboole_0(k4_xboole_0(X1,X0),X2)),k3_tarski(X3))
| ~ r1_tarski(k2_tarski(k1_setfam_1(k2_tarski(X0,X1)),k1_setfam_1(k2_tarski(X2,X1))),X3) ),
inference(superposition,[status(thm)],[c_56414,c_2510]) ).
tcf(c_183072,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_tarski(k4_xboole_0(X0,k4_xboole_0(X1,X2)),k3_tarski(X3))
| ~ r1_tarski(k2_tarski(k4_xboole_0(X0,X1),k1_setfam_1(k2_tarski(X2,X0))),X3) ),
inference(superposition,[status(thm)],[c_52807,c_2510]) ).
tcf(c_183073,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( r1_tarski(k2_enumset1(X0,X1,X2,X3),k3_tarski(X4))
| ~ r1_tarski(k2_tarski(k2_tarski(X0,X0),k2_enumset1(X1,X1,X2,X3)),X4) ),
inference(superposition,[status(thm)],[c_53895,c_2510]) ).
tcf(c_183074,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( r1_tarski(k2_enumset1(X0,X1,X2,X3),k3_tarski(X4))
| ~ r1_tarski(k2_tarski(k2_enumset1(X0,X0,X1,X2),k2_tarski(X3,X3)),X4) ),
inference(superposition,[status(thm)],[c_54517,c_2510]) ).
tcf(c_183075,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,k3_tarski(X1))
| ~ r1_tarski(k2_tarski(np__0,X0),X1) ),
inference(superposition,[status(thm)],[c_162072,c_2510]) ).
tcf(c_183076,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_tarski(k3_tarski(k2_tarski(X2,k3_tarski(k2_tarski(X0,X1)))),k3_tarski(X3))
| ~ r1_tarski(k2_enumset1(X0,X1,X2,X1),X3) ),
inference(superposition,[status(thm)],[c_174660,c_2510]) ).
tcf(c_183077,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k3_tarski(X0),k5_xboole_0(X1,X2))
| ~ r1_tarski(X0,k2_tarski(k4_xboole_0(X1,X2),k4_xboole_0(X2,X1))) ),
inference(superposition,[status(thm)],[c_2624,c_2510]) ).
tcf(c_183078,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_tarski(k3_tarski(X0),k4_xboole_0(X1,k1_setfam_1(k2_tarski(X3,X2))))
| ~ r1_tarski(X0,k2_tarski(k4_xboole_0(X1,X2),k4_xboole_0(X1,X3))) ),
inference(superposition,[status(thm)],[c_52809,c_2510]) ).
tcf(c_183079,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( r1_tarski(k3_tarski(X0),k4_xboole_0(k2_zfmisc_1(X1,X3),k2_zfmisc_1(X2,X4)))
| ~ r1_tarski(X0,k2_tarski(k2_zfmisc_1(k4_xboole_0(X1,X2),X3),k2_zfmisc_1(X1,k4_xboole_0(X3,X4)))) ),
inference(superposition,[status(thm)],[c_471,c_2510]) ).
tcf(c_183080,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_tarski(k3_tarski(X0),k2_zfmisc_1(X1,k3_tarski(k2_tarski(X2,X3))))
| ~ r1_tarski(X0,k2_tarski(k2_zfmisc_1(X1,X2),k2_zfmisc_1(X1,X3))) ),
inference(superposition,[status(thm)],[c_474,c_2510]) ).
tcf(c_183081,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_tarski(k3_tarski(X0),k2_zfmisc_1(k3_tarski(k2_tarski(X1,X3)),X2))
| ~ r1_tarski(X0,k2_tarski(k2_zfmisc_1(X1,X2),k2_zfmisc_1(X3,X2))) ),
inference(superposition,[status(thm)],[c_473,c_2510]) ).
tcf(c_183082,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_tarski(k3_tarski(X0),k3_tarski(k2_tarski(X1,k3_tarski(k2_tarski(X2,X3)))))
| ~ r1_tarski(X0,k2_tarski(k3_tarski(k2_tarski(X1,X2)),X3)) ),
inference(superposition,[status(thm)],[c_500,c_2510]) ).
tcf(c_183083,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k3_tarski(X0),k3_tarski(k2_tarski(X1,X2)))
| ~ r1_tarski(X0,k2_tarski(X1,k4_xboole_0(X2,X1))) ),
inference(superposition,[status(thm)],[c_486,c_2510]) ).
tcf(c_183084,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_tarski(k3_tarski(X0),k4_xboole_0(k3_tarski(k2_tarski(X1,X3)),X2))
| ~ r1_tarski(X0,k2_tarski(k4_xboole_0(X1,X2),k4_xboole_0(X3,X2))) ),
inference(superposition,[status(thm)],[c_483,c_2510]) ).
tcf(c_183085,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k3_tarski(X0),k3_tarski(k2_tarski(X1,X2)))
| ~ r1_tarski(X0,k2_tarski(X1,k3_tarski(k2_tarski(X1,X2)))) ),
inference(superposition,[status(thm)],[c_498,c_2510]) ).
tcf(c_183086,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_tarski(k3_tarski(X0),k3_tarski(k2_enumset1(X2,X3,X1,X3)))
| ~ r1_tarski(X0,k2_tarski(X1,k3_tarski(k2_tarski(X2,X3)))) ),
inference(superposition,[status(thm)],[c_174660,c_2510]) ).
tcf(c_183087,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k3_tarski(X0),X1)
| ~ r1_tarski(X0,k2_tarski(X1,np__0)) ),
inference(superposition,[status(thm)],[c_501,c_2510]) ).
tcf(c_183088,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k3_tarski(X0),X1)
| ~ r1_tarski(X0,k2_tarski(X1,X1)) ),
inference(superposition,[status(thm)],[c_502,c_2510]) ).
tcf(c_183089,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k3_tarski(X0),X1)
| ~ r1_tarski(X0,k1_zfmisc_1(X1)) ),
inference(superposition,[status(thm)],[c_2507,c_2510]) ).
tcf(c_183090,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k3_tarski(X0),k3_tarski(k3_tarski(k2_tarski(X1,X2))))
| ~ r1_tarski(X0,k2_tarski(k3_tarski(X1),k3_tarski(X2))) ),
inference(superposition,[status(thm)],[c_2509,c_2510]) ).
tcf(c_183091,plain,
! [X0: $i] :
( r1_tarski(k3_tarski(X0),np__0)
| ~ r1_tarski(X0,np__0) ),
inference(superposition,[status(thm)],[c_2516,c_2510]) ).
tcf(c_183092,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( r1_tarski(k3_tarski(X0),k2_enumset1(X1,X2,X3,X4))
| ~ r1_tarski(X0,k2_tarski(k2_tarski(X1,X2),k2_tarski(X3,X4))) ),
inference(superposition,[status(thm)],[c_3627,c_2510]) ).
tcf(c_183093,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k3_tarski(X0),X1)
| ~ r1_tarski(X0,k2_tarski(X1,k1_setfam_1(k2_tarski(X1,X2)))) ),
inference(superposition,[status(thm)],[c_48096,c_2510]) ).
tcf(c_183094,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k3_tarski(X0),k3_tarski(k2_tarski(X1,X2)))
| ~ r1_tarski(X0,k2_tarski(k5_xboole_0(X1,X2),k1_setfam_1(k2_tarski(X2,X1)))) ),
inference(superposition,[status(thm)],[c_51640,c_2510]) ).
tcf(c_183095,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_tarski(k3_tarski(X0),k4_xboole_0(X2,k4_xboole_0(k4_xboole_0(X2,X1),X3)))
| ~ r1_tarski(X0,k2_tarski(k1_setfam_1(k2_tarski(X1,X2)),k1_setfam_1(k2_tarski(X3,X2)))) ),
inference(superposition,[status(thm)],[c_56414,c_2510]) ).
tcf(c_183096,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_tarski(k3_tarski(X0),k4_xboole_0(X1,k4_xboole_0(X2,X3)))
| ~ r1_tarski(X0,k2_tarski(k4_xboole_0(X1,X2),k1_setfam_1(k2_tarski(X3,X1)))) ),
inference(superposition,[status(thm)],[c_52807,c_2510]) ).
tcf(c_183097,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( r1_tarski(k3_tarski(X0),k2_enumset1(X1,X2,X3,X4))
| ~ r1_tarski(X0,k2_tarski(k2_tarski(X1,X1),k2_enumset1(X2,X2,X3,X4))) ),
inference(superposition,[status(thm)],[c_53895,c_2510]) ).
tcf(c_183098,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( r1_tarski(k3_tarski(X0),k2_enumset1(X1,X2,X3,X4))
| ~ r1_tarski(X0,k2_tarski(k2_enumset1(X1,X1,X2,X3),k2_tarski(X4,X4))) ),
inference(superposition,[status(thm)],[c_54517,c_2510]) ).
tcf(c_183099,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k3_tarski(X0),X1)
| ~ r1_tarski(X0,k2_tarski(np__0,X1)) ),
inference(superposition,[status(thm)],[c_162072,c_2510]) ).
tcf(c_183100,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_tarski(k3_tarski(X0),k3_tarski(k2_tarski(X3,k3_tarski(k2_tarski(X1,X2)))))
| ~ r1_tarski(X0,k2_enumset1(X1,X2,X3,X2)) ),
inference(superposition,[status(thm)],[c_174660,c_2510]) ).
tcf(c_183101,plain,
! [X0: $i,X1: $i] :
( v1_finset_1(k3_tarski(X0))
| ~ v1_finset_1(k3_tarski(X1))
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_2510,c_1686]) ).
tcf(c_183102,plain,
! [X0: $i,X1: $i] :
( v1_membered(k3_tarski(X0))
| ~ v1_membered(k3_tarski(X1))
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_2510,c_1573]) ).
tcf(c_183103,plain,
! [X0: $i,X1: $i] :
( v2_membered(k3_tarski(X0))
| ~ v2_membered(k3_tarski(X1))
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_2510,c_1527]) ).
tcf(c_183104,plain,
! [X0: $i,X1: $i] :
( v3_membered(k3_tarski(X0))
| ~ v3_membered(k3_tarski(X1))
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_2510,c_1484]) ).
tcf(c_183105,plain,
! [X0: $i,X1: $i] :
( v4_membered(k3_tarski(X0))
| ~ v4_membered(k3_tarski(X1))
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_2510,c_1427]) ).
tcf(c_183106,plain,
! [X0: $i,X1: $i] :
( v5_membered(k3_tarski(X0))
| ~ v5_membered(k3_tarski(X1))
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_2510,c_1335]) ).
tcf(c_183107,plain,
! [X0: $i,X1: $i] :
( v1_relat_1(k3_tarski(X0))
| ~ v1_relat_1(k3_tarski(X1))
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_2510,c_539]) ).
tcf(c_183108,plain,
! [X0: $i,X1: $i] :
( ~ r1_tarski(X1,X0)
| ~ r2_hidden(k3_tarski(X0),k3_tarski(X1)) ),
inference(superposition,[status(thm)],[c_2510,c_538]) ).
tcf(c_183349,plain,
! [X0: $i,X1: $i] :
( v1_xcmplx_0(sK396(X0,X1))
| r1_tarski(k3_tarski(X0),X1)
| ~ v1_membered(X0) ),
inference(superposition,[status(thm)],[c_2512,c_1578]) ).
tcf(c_183350,plain,
! [X0: $i,X1: $i] :
( v1_xreal_0(sK396(X0,X1))
| r1_tarski(k3_tarski(X0),X1)
| ~ v2_membered(X0) ),
inference(superposition,[status(thm)],[c_2512,c_1535]) ).
tcf(c_183351,plain,
! [X0: $i,X1: $i] :
( v1_int_1(sK396(X0,X1))
| r1_tarski(k3_tarski(X0),X1)
| ~ v4_membered(X0) ),
inference(superposition,[status(thm)],[c_2512,c_1435]) ).
tcf(c_183352,plain,
! [X0: $i,X1: $i] :
( v4_ordinal2(sK396(X0,X1))
| r1_tarski(k3_tarski(X0),X1)
| ~ v5_membered(X0) ),
inference(superposition,[status(thm)],[c_2512,c_1343]) ).
tcf(c_183353,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k3_tarski(X0),X1)
| ~ r2_hidden(X0,sK396(X0,X1)) ),
inference(superposition,[status(thm)],[c_2512,c_631]) ).
tcf(c_183354,plain,
! [X0: $i,X1: $i] :
( r2_hidden(sK92(X0),X0)
| r1_tarski(k3_tarski(X0),X1) ),
inference(superposition,[status(thm)],[c_2512,c_627]) ).
tcf(c_183355,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k3_tarski(X0),X1)
| m1_subset_1(sK396(X0,X1),X0) ),
inference(superposition,[status(thm)],[c_2512,c_626]) ).
tcf(c_183356,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k3_tarski(X0),X1)
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_2512,c_597]) ).
tcf(c_183357,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k3_tarski(k1_zfmisc_1(X0)),X1)
| r1_tarski(sK396(k1_zfmisc_1(X0),X1),X0) ),
inference(superposition,[status(thm)],[c_2512,c_563]) ).
tcf(c_183358,plain,
! [X0: $i] : r1_tarski(k3_tarski(np__0),X0),
inference(superposition,[status(thm)],[c_2512,c_698]) ).
tcf(c_183359,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k3_tarski(k4_xboole_0(X0,X1)),X2)
| r2_hidden(sK396(k4_xboole_0(X0,X1),X2),X0) ),
inference(superposition,[status(thm)],[c_2512,c_1745]) ).
tcf(c_183360,plain,
! [X0: $i] :
( v1_int_1(sK396(k4_numbers,X0))
| r1_tarski(k3_tarski(k4_numbers),X0) ),
inference(superposition,[status(thm)],[c_2512,c_2722]) ).
tcf(c_183361,plain,
! [X0: $i] :
( v1_xreal_0(sK396(k1_numbers,X0))
| r1_tarski(k3_tarski(k1_numbers),X0) ),
inference(superposition,[status(thm)],[c_2512,c_2743]) ).
tcf(c_183362,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k3_tarski(k5_finsub_1(X0)),X1)
| r1_tarski(sK396(k5_finsub_1(X0),X1),X0) ),
inference(superposition,[status(thm)],[c_2512,c_14776]) ).
tcf(c_183363,plain,
! [X0: $i,X1: $i] :
( v1_finset_1(sK396(k5_finsub_1(X0),X1))
| r1_tarski(k3_tarski(k5_finsub_1(X0)),X1) ),
inference(superposition,[status(thm)],[c_2512,c_14774]) ).
tcf(c_183381,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,X1)
| r1_tarski(sK396(k1_zfmisc_1(X0),X1),X0) ),
inference(light_normalisation,[status(thm)],[c_183357,c_2507]) ).
tcf(c_183440,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| ( k1_setfam_1(X0) = np__0 )
| ~ v4_finsub_1(X0) ),
inference(superposition,[status(thm)],[c_3600,c_2540]) ).
tcf(c_183443,plain,
( ( k1_setfam_1(k4_numbers) = np__0 )
| ~ v1_int_1(np__0) ),
inference(superposition,[status(thm)],[c_2723,c_2540]) ).
tcf(c_183444,plain,
( ( k1_setfam_1(k1_numbers) = np__0 )
| ~ v1_xreal_0(np__0) ),
inference(superposition,[status(thm)],[c_2744,c_2540]) ).
tcf(c_183445,plain,
! [X0: $i] : k1_setfam_1(k3_tarski(k2_tarski(X0,k2_tarski(np__0,np__0)))) = np__0,
inference(superposition,[status(thm)],[c_47393,c_2540]) ).
tcf(c_183449,plain,
k1_setfam_1(k1_card_1(k1_zfmisc_1(np__0))) = np__0,
inference(superposition,[status(thm)],[c_160622,c_2540]) ).
tcf(c_183450,plain,
! [X0: $i] : k1_setfam_1(k1_zfmisc_1(X0)) = np__0,
inference(superposition,[status(thm)],[c_174278,c_2540]) ).
tcf(c_183451,plain,
k1_setfam_1(k1_numbers) = np__0,
inference(forward_subsumption_resolution,[status(thm)],[c_183444,c_170578]) ).
tcf(c_183454,plain,
! [X0: $i] : k1_setfam_1(k3_tarski(k2_tarski(X0,k1_zfmisc_1(np__0)))) = np__0,
inference(light_normalisation,[status(thm)],[c_183445,c_47417]) ).
tcf(c_183478,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k4_xboole_0(k2_tarski(X0,X1),k2_tarski(X1,X1)),k2_enumset1(X0,X0,X0,X2))
| ( X0 = X1 ) ),
inference(superposition,[status(thm)],[c_54771,c_2629]) ).
tcf(c_183479,plain,
! [X0: $i,X1: $i,X2: $i] : r1_tarski(k2_tarski(X0,X1),k2_enumset1(X1,X1,X0,X2)),
inference(superposition,[status(thm)],[c_2707,c_2629]) ).
tcf(c_183480,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k2_relat_1(sK46(X0,X1)),k2_enumset1(X1,X1,X1,X2))
| ( X0 = np__0 ) ),
inference(superposition,[status(thm)],[c_51182,c_2629]) ).
tcf(c_183481,plain,
! [X0: $i] : r1_tarski(k1_zfmisc_1(np__0),k2_enumset1(np__0,np__0,np__0,X0)),
inference(superposition,[status(thm)],[c_47417,c_2629]) ).
tcf(c_183482,plain,
! [X0: $i,X1: $i] : r1_tarski(k1_zfmisc_1(k2_tarski(X0,X0)),k2_enumset1(np__0,np__0,k2_tarski(X0,X0),X1)),
inference(superposition,[status(thm)],[c_50679,c_2629]) ).
tcf(c_183490,plain,
! [X0: $i,X1: $i,X2: $i] : r1_tarski(k2_tarski(X0,X1),k2_enumset1(X0,X1,X2,X0)),
inference(superposition,[status(thm)],[c_3618,c_2629]) ).
tcf(c_183499,plain,
! [X0: $i,X1: $i,X2: $i] : r1_tarski(k2_tarski(X0,X1),k2_enumset1(X0,X1,X2,X2)),
inference(superposition,[status(thm)],[c_52485,c_2629]) ).
tcf(c_183502,plain,
! [X0: $i,X1: $i,X2: $i] : r1_tarski(k2_tarski(X0,X1),k2_enumset1(X2,X1,X0,X0)),
inference(superposition,[status(thm)],[c_3612,c_2629]) ).
tcf(c_183503,plain,
! [X0: $i,X1: $i,X2: $i] : r1_tarski(k2_tarski(X0,X1),k2_enumset1(X1,X2,X0,X0)),
inference(superposition,[status(thm)],[c_3613,c_2629]) ).
tcf(c_183506,plain,
! [X0: $i,X1: $i,X2: $i] : r1_tarski(k2_tarski(X0,X1),k2_enumset1(X2,X0,X1,X0)),
inference(superposition,[status(thm)],[c_3616,c_2629]) ).
tcf(c_183507,plain,
! [X0: $i,X1: $i,X2: $i] : r1_tarski(k2_tarski(X0,X1),k2_enumset1(X1,X0,X2,X0)),
inference(superposition,[status(thm)],[c_3617,c_2629]) ).
tcf(c_183508,plain,
! [X0: $i,X1: $i,X2: $i] : r1_tarski(k2_tarski(X0,X1),k2_enumset1(X2,X0,X0,X1)),
inference(superposition,[status(thm)],[c_3618,c_2629]) ).
tcf(c_183509,plain,
! [X0: $i,X1: $i,X2: $i] : r1_tarski(k2_tarski(X0,X1),k2_enumset1(X1,X0,X0,X2)),
inference(superposition,[status(thm)],[c_3619,c_2629]) ).
tcf(c_183511,plain,
! [X0: $i,X1: $i,X2: $i] : r1_tarski(k2_tarski(X0,X1),k2_enumset1(X0,X2,X1,X0)),
inference(superposition,[status(thm)],[c_3622,c_2629]) ).
tcf(c_183512,plain,
! [X0: $i,X1: $i,X2: $i] : r1_tarski(k2_tarski(X0,X1),k2_enumset1(X0,X2,X0,X1)),
inference(superposition,[status(thm)],[c_3623,c_2629]) ).
tcf(c_183513,plain,
! [X0: $i,X1: $i,X2: $i] : r1_tarski(k2_tarski(X0,X1),k2_enumset1(X0,X1,X0,X2)),
inference(superposition,[status(thm)],[c_3624,c_2629]) ).
tcf(c_183514,plain,
! [X0: $i,X1: $i,X2: $i] : r1_tarski(k2_tarski(X0,X1),k2_enumset1(X0,X0,X2,X1)),
inference(superposition,[status(thm)],[c_3625,c_2629]) ).
tcf(c_183515,plain,
! [X0: $i,X1: $i] : r1_tarski(k2_tarski(X0,X1),k2_enumset1(X0,X0,X0,X1)),
inference(superposition,[status(thm)],[c_52485,c_2629]) ).
tcf(c_183517,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_membered(k2_tarski(X0,X1))
| ~ v1_membered(k2_enumset1(X0,X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_2629,c_1573]) ).
tcf(c_183518,plain,
! [X0: $i,X1: $i,X2: $i] :
( v2_membered(k2_tarski(X0,X1))
| ~ v2_membered(k2_enumset1(X0,X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_2629,c_1527]) ).
tcf(c_183519,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_membered(k2_tarski(X0,X1))
| ~ v3_membered(k2_enumset1(X0,X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_2629,c_1484]) ).
tcf(c_183520,plain,
! [X0: $i,X1: $i,X2: $i] :
( v4_membered(k2_tarski(X0,X1))
| ~ v4_membered(k2_enumset1(X0,X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_2629,c_1427]) ).
tcf(c_183521,plain,
! [X0: $i,X1: $i,X2: $i] :
( v5_membered(k2_tarski(X0,X1))
| ~ v5_membered(k2_enumset1(X0,X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_2629,c_1335]) ).
tcf(c_183522,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_relat_1(k2_tarski(X0,X1))
| ~ v1_relat_1(k2_enumset1(X0,X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_2629,c_539]) ).
tcf(c_183523,plain,
! [X0: $i,X1: $i,X2: $i] : ~ r2_hidden(k2_enumset1(X0,X0,X1,X2),k2_tarski(X0,X1)),
inference(superposition,[status(thm)],[c_2629,c_538]) ).
tcf(c_183524,plain,
! [X0: $i,X1: $i] : r1_tarski(k2_tarski(X0,X1),k2_tarski(X0,X1)),
inference(light_normalisation,[status(thm)],[c_183515,c_3626]) ).
tcf(c_183563,plain,
~ r2_hidden(k3_tarski(k1_numbers),np__0),
inference(superposition,[status(thm)],[c_183451,c_167159]) ).
tcf(c_183565,plain,
r1_tarski(np__0,k3_tarski(k1_numbers)),
inference(superposition,[status(thm)],[c_183451,c_2542]) ).
tcf(c_183567,plain,
( v3_struct_0(sK40)
| ~ l1_struct_0(sK40)
| ~ v1_xboole_0(u1_struct_0(sK40)) ),
inference(superposition,[status(thm)],[c_173769,c_356]) ).
tcf(c_183568,plain,
( m1_subset_1(u1_struct_0(sK40),k1_zfmisc_1(u1_struct_0(sK40)))
| ~ l1_struct_0(sK40) ),
inference(superposition,[status(thm)],[c_173769,c_341]) ).
tcf(c_183569,plain,
m1_subset_1(u1_struct_0(sK40),k1_zfmisc_1(u1_struct_0(sK40))),
inference(forward_subsumption_resolution,[status(thm)],[c_183568,c_159594]) ).
tcf(c_183570,plain,
( v3_struct_0(sK40)
| ~ v1_xboole_0(u1_struct_0(sK40)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_183567,c_159594]) ).
tcf(c_183573,plain,
( v3_struct_0(sK192)
| ~ l1_struct_0(sK192)
| ~ v1_xboole_0(u1_struct_0(sK192)) ),
inference(superposition,[status(thm)],[c_173770,c_356]) ).
tcf(c_183574,plain,
( m1_subset_1(u1_struct_0(sK192),k1_zfmisc_1(u1_struct_0(sK192)))
| ~ l1_struct_0(sK192) ),
inference(superposition,[status(thm)],[c_173770,c_341]) ).
tcf(c_183575,plain,
m1_subset_1(u1_struct_0(sK192),k1_zfmisc_1(u1_struct_0(sK192))),
inference(forward_subsumption_resolution,[status(thm)],[c_183574,c_159615]) ).
tcf(c_183576,plain,
~ v1_xboole_0(u1_struct_0(sK192)),
inference(forward_subsumption_resolution,[status(thm)],[c_183573,c_1061,c_159615]) ).
tcf(c_183590,plain,
( v3_struct_0(sK193)
| ~ l1_struct_0(sK193)
| ~ v1_xboole_0(u1_struct_0(sK193)) ),
inference(superposition,[status(thm)],[c_173771,c_356]) ).
tcf(c_183591,plain,
( m1_subset_1(u1_struct_0(sK193),k1_zfmisc_1(u1_struct_0(sK193)))
| ~ l1_struct_0(sK193) ),
inference(superposition,[status(thm)],[c_173771,c_341]) ).
tcf(c_183592,plain,
m1_subset_1(u1_struct_0(sK193),k1_zfmisc_1(u1_struct_0(sK193))),
inference(forward_subsumption_resolution,[status(thm)],[c_183591,c_159616]) ).
tcf(c_183593,plain,
~ v1_xboole_0(u1_struct_0(sK193)),
inference(forward_subsumption_resolution,[status(thm)],[c_183590,c_1071,c_159616]) ).
tcf(c_183595,plain,
( v3_struct_0(sK194)
| ~ l1_struct_0(sK194)
| ~ v1_xboole_0(u1_struct_0(sK194)) ),
inference(superposition,[status(thm)],[c_173772,c_356]) ).
tcf(c_183596,plain,
( m1_subset_1(u1_struct_0(sK194),k1_zfmisc_1(u1_struct_0(sK194)))
| ~ l1_struct_0(sK194) ),
inference(superposition,[status(thm)],[c_173772,c_341]) ).
tcf(c_183597,plain,
m1_subset_1(u1_struct_0(sK194),k1_zfmisc_1(u1_struct_0(sK194))),
inference(forward_subsumption_resolution,[status(thm)],[c_183596,c_159617]) ).
tcf(c_183598,plain,
( v3_struct_0(sK194)
| ~ v1_xboole_0(u1_struct_0(sK194)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_183595,c_159617]) ).
tcf(c_183601,plain,
! [X0: $i] : sP23(k5_relat_1(np__0,k6_partfun1(X0))),
inference(superposition,[status(thm)],[c_2188,c_173849]) ).
tcf(c_183602,plain,
! [X0: $i,X1: $i,X2: $i] : sP23(k5_relat_1(k5_relat_1(k6_partfun1(X0),k6_partfun1(X1)),k6_partfun1(X2))),
inference(superposition,[status(thm)],[c_49266,c_173849]) ).
tcf(c_183603,plain,
! [X0: $i] : sP23(k5_relat_1(k6_partfun1(X0),np__0)),
inference(superposition,[status(thm)],[c_2188,c_173849]) ).
tcf(c_183604,plain,
! [X0: $i,X1: $i,X2: $i] : sP23(k5_relat_1(k6_partfun1(X0),k5_relat_1(k6_partfun1(X1),k6_partfun1(X2)))),
inference(superposition,[status(thm)],[c_49266,c_173849]) ).
tcf(c_183614,plain,
( v1_xboole_0(k1_zfmisc_1(np__0))
| r2_hidden(np__0,k1_zfmisc_1(np__0)) ),
inference(superposition,[status(thm)],[c_168987,c_174226]) ).
tcf(c_183617,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| v1_int_1(sK52(X0))
| ~ v4_membered(X0) ),
inference(superposition,[status(thm)],[c_174226,c_1435]) ).
tcf(c_183618,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| v4_ordinal2(sK52(X0))
| ~ v5_membered(X0) ),
inference(superposition,[status(thm)],[c_174226,c_1343]) ).
tcf(c_183619,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| ~ r2_hidden(X0,sK52(X0)) ),
inference(superposition,[status(thm)],[c_174226,c_631]) ).
tcf(c_183620,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| r2_hidden(sK92(X0),X0) ),
inference(superposition,[status(thm)],[c_174226,c_627]) ).
tcf(c_183625,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(k4_xboole_0(X0,X1))
| r2_hidden(sK52(k4_xboole_0(X0,X1)),X0) ),
inference(superposition,[status(thm)],[c_174226,c_1745]) ).
tcf(c_183627,plain,
( v1_xboole_0(k1_numbers)
| v1_xreal_0(sK52(k1_numbers)) ),
inference(superposition,[status(thm)],[c_174226,c_2743]) ).
tcf(c_183628,plain,
! [X0: $i] :
( v1_xboole_0(k5_finsub_1(X0))
| r1_tarski(sK52(k5_finsub_1(X0)),X0) ),
inference(superposition,[status(thm)],[c_174226,c_14776]) ).
tcf(c_183630,plain,
v1_xreal_0(sK52(k1_numbers)),
inference(forward_subsumption_resolution,[status(thm)],[c_183627,c_2745]) ).
tcf(c_183659,plain,
v1_xcmplx_0(sK52(k1_numbers)),
inference(superposition,[status(thm)],[c_183630,c_2750]) ).
tcf(c_183672,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k3_tarski(k2_tarski(X0,X1)) = X2 )
| ( k3_tarski(k2_tarski(X0,k3_tarski(k2_tarski(X1,k2_tarski(k3_tarski(k2_tarski(X0,X1)),k3_tarski(k2_tarski(X0,X1))))))) != k3_tarski(k2_tarski(X2,k2_tarski(X2,X2))) ) ),
inference(superposition,[status(thm)],[c_500,c_56580]) ).
tcf(c_183673,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k2_tarski(X0,X1) = X2 )
| ( k2_enumset1(X0,X1,k2_tarski(X0,X1),k2_tarski(X0,X1)) != k3_tarski(k2_tarski(X2,k2_tarski(X2,X2))) ) ),
inference(superposition,[status(thm)],[c_3627,c_56580]) ).
tcf(c_183674,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( k2_enumset1(X0,X0,X1,X2) = X3 )
| ( k2_enumset1(X0,X1,X2,k2_enumset1(X0,X0,X1,X2)) != k3_tarski(k2_tarski(X3,k2_tarski(X3,X3))) ) ),
inference(superposition,[status(thm)],[c_54517,c_56580]) ).
tcf(c_183675,plain,
! [X0: $i] :
( ( X0 = np__0 )
| ( k3_tarski(k2_tarski(X0,k2_tarski(X0,X0))) != k2_tarski(np__0,np__0) ) ),
inference(superposition,[status(thm)],[c_162072,c_56580]) ).
tcf(c_183676,plain,
! [X0: $i] :
( ( X0 = np__0 )
| ( k3_tarski(k2_tarski(X0,k2_tarski(X0,X0))) != k3_tarski(k1_zfmisc_1(k2_tarski(np__0,np__0))) ) ),
inference(superposition,[status(thm)],[c_50679,c_56580]) ).
tcf(c_183677,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X2 )
| ( X0 = X1 )
| ( k3_tarski(k2_tarski(X0,k4_xboole_0(k2_tarski(X0,X1),k2_tarski(X1,X1)))) != k3_tarski(k2_tarski(X2,k2_tarski(X2,X2))) ) ),
inference(superposition,[status(thm)],[c_54771,c_56580]) ).
tcf(c_183678,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = np__0 )
| ( X0 = X2 )
| ( k3_tarski(k2_tarski(X0,k2_relat_1(sK46(X1,X0)))) != k3_tarski(k2_tarski(X2,k2_tarski(X2,X2))) ) ),
inference(superposition,[status(thm)],[c_51182,c_56580]) ).
tcf(c_183679,plain,
! [X0: $i] :
( ( X0 = np__0 )
| ( k3_tarski(k2_tarski(X0,k2_tarski(X0,X0))) != k3_tarski(k2_tarski(np__0,k1_zfmisc_1(np__0))) ) ),
inference(superposition,[status(thm)],[c_47417,c_56580]) ).
tcf(c_183681,plain,
! [X0: $i] :
( ( X0 = np__0 )
| ( k3_tarski(k2_tarski(X0,k2_tarski(X0,X0))) != k1_zfmisc_1(np__0) ) ),
inference(light_normalisation,[status(thm)],[c_183675,c_47417]) ).
tcf(c_183684,plain,
! [X0: $i] :
( ( X0 = np__0 )
| ( k3_tarski(k2_tarski(X0,k2_tarski(X0,X0))) != k3_tarski(k1_zfmisc_1(k1_zfmisc_1(np__0))) ) ),
inference(light_normalisation,[status(thm)],[c_183679,c_170434]) ).
tcf(c_183707,plain,
! [X0: $i,X1: $i,X2: $i] : r2_hidden(X0,k3_tarski(k2_tarski(k2_tarski(X0,X1),X2))),
inference(superposition,[status(thm)],[c_497,c_2688]) ).
tcf(c_183709,plain,
! [X0: $i,X1: $i] :
( r2_hidden(X0,k5_numbers)
| ~ v5_membered(k2_tarski(X0,X1)) ),
inference(superposition,[status(thm)],[c_1340,c_2688]) ).
tcf(c_183710,plain,
! [X0: $i,X1: $i] :
( r2_hidden(X0,k4_numbers)
| ~ v4_membered(k2_tarski(X0,X1)) ),
inference(superposition,[status(thm)],[c_1432,c_2688]) ).
tcf(c_183711,plain,
! [X0: $i,X1: $i] :
( r2_hidden(X0,k3_numbers)
| ~ v3_membered(k2_tarski(X0,X1)) ),
inference(superposition,[status(thm)],[c_1485,c_2688]) ).
tcf(c_183712,plain,
! [X0: $i,X1: $i] :
( r2_hidden(X0,k1_numbers)
| ~ v2_membered(k2_tarski(X0,X1)) ),
inference(superposition,[status(thm)],[c_1532,c_2688]) ).
tcf(c_183713,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(X0,k3_tarski(X2))
| ~ r2_hidden(k2_tarski(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_2513,c_2688]) ).
tcf(c_183714,plain,
! [X0: $i,X1: $i] : r2_hidden(X0,k1_zfmisc_1(k3_tarski(k2_tarski(X0,X1)))),
inference(superposition,[status(thm)],[c_2506,c_2688]) ).
tcf(c_183715,plain,
! [X0: $i,X1: $i,X2: $i] : r2_hidden(X0,k2_enumset1(X0,X0,X1,X2)),
inference(superposition,[status(thm)],[c_2629,c_2688]) ).
tcf(c_183716,plain,
! [X0: $i,X1: $i] :
( r2_hidden(X0,sK551(k2_tarski(X0,X1)))
| r2_hidden(sK550(k2_tarski(X0,X1)),k2_tarski(X0,X1)) ),
inference(superposition,[status(thm)],[c_3506,c_2688]) ).
tcf(c_183717,plain,
! [X0: $i,X1: $i] :
( r2_hidden(X0,sK551(k2_tarski(X0,X1)))
| ~ v3_ordinal1(sK550(k2_tarski(X0,X1))) ),
inference(superposition,[status(thm)],[c_3504,c_2688]) ).
tcf(c_183718,plain,
! [X0: $i,X1: $i] :
( r2_hidden(X0,k2_numbers)
| ~ v1_membered(k2_tarski(X0,X1)) ),
inference(superposition,[status(thm)],[c_3640,c_2688]) ).
tcf(c_183721,plain,
! [X0: $i] : r2_hidden(X0,k1_zfmisc_1(X0)),
inference(superposition,[status(thm)],[c_47413,c_2688]) ).
tcf(c_183723,plain,
! [X0: $i,X1: $i,X2: $i] : r2_hidden(X0,k3_tarski(k2_tarski(X1,k2_tarski(X0,X2)))),
inference(superposition,[status(thm)],[c_162055,c_2688]) ).
tcf(c_183725,plain,
! [X0: $i,X1: $i] : r2_hidden(X0,k3_relat_1(k6_partfun1(k2_tarski(X0,X1)))),
inference(superposition,[status(thm)],[c_169238,c_2688]) ).
tcf(c_183727,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(X0,X2)
| ( X0 = X1 )
| ~ r1_tarski(k4_xboole_0(k2_tarski(X0,X1),k2_tarski(X1,X1)),X2) ),
inference(superposition,[status(thm)],[c_54771,c_2688]) ).
tcf(c_183729,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(X1,X2)
| ( X0 = np__0 )
| ~ r1_tarski(k2_relat_1(sK46(X0,X1)),X2) ),
inference(superposition,[status(thm)],[c_51182,c_2688]) ).
tcf(c_183730,plain,
! [X0: $i] :
( r2_hidden(np__0,X0)
| ~ r1_tarski(k1_zfmisc_1(np__0),X0) ),
inference(superposition,[status(thm)],[c_47417,c_2688]) ).
tcf(c_183731,plain,
! [X0: $i,X1: $i] :
( r2_hidden(np__0,X1)
| ~ r1_tarski(k1_zfmisc_1(k2_tarski(X0,X0)),X1) ),
inference(superposition,[status(thm)],[c_50679,c_2688]) ).
tcf(c_183797,plain,
! [X0: $i,X1: $i,X2: $i] : r2_hidden(X0,k3_tarski(k2_tarski(k2_tarski(X1,X0),X2))),
inference(superposition,[status(thm)],[c_497,c_2689]) ).
tcf(c_183799,plain,
! [X0: $i,X1: $i] :
( r2_hidden(X1,k5_numbers)
| ~ v5_membered(k2_tarski(X0,X1)) ),
inference(superposition,[status(thm)],[c_1340,c_2689]) ).
tcf(c_183800,plain,
! [X0: $i,X1: $i] :
( r2_hidden(X1,k4_numbers)
| ~ v4_membered(k2_tarski(X0,X1)) ),
inference(superposition,[status(thm)],[c_1432,c_2689]) ).
tcf(c_183801,plain,
! [X0: $i,X1: $i] :
( r2_hidden(X1,k3_numbers)
| ~ v3_membered(k2_tarski(X0,X1)) ),
inference(superposition,[status(thm)],[c_1485,c_2689]) ).
tcf(c_183802,plain,
! [X0: $i,X1: $i] :
( r2_hidden(X1,k1_numbers)
| ~ v2_membered(k2_tarski(X0,X1)) ),
inference(superposition,[status(thm)],[c_1532,c_2689]) ).
tcf(c_183803,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(X1,k3_tarski(X2))
| ~ r2_hidden(k2_tarski(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_2513,c_2689]) ).
tcf(c_183804,plain,
! [X0: $i,X1: $i] : r2_hidden(X0,k1_zfmisc_1(k3_tarski(k2_tarski(X1,X0)))),
inference(superposition,[status(thm)],[c_2506,c_2689]) ).
tcf(c_183806,plain,
! [X0: $i,X1: $i] :
( r2_hidden(X1,sK551(k2_tarski(X0,X1)))
| r2_hidden(sK550(k2_tarski(X0,X1)),k2_tarski(X0,X1)) ),
inference(superposition,[status(thm)],[c_3506,c_2689]) ).
tcf(c_183807,plain,
! [X0: $i,X1: $i] :
( r2_hidden(X1,sK551(k2_tarski(X0,X1)))
| ~ v3_ordinal1(sK550(k2_tarski(X0,X1))) ),
inference(superposition,[status(thm)],[c_3504,c_2689]) ).
tcf(c_183808,plain,
! [X0: $i,X1: $i] :
( r2_hidden(X1,k2_numbers)
| ~ v1_membered(k2_tarski(X0,X1)) ),
inference(superposition,[status(thm)],[c_3640,c_2689]) ).
tcf(c_183813,plain,
! [X0: $i,X1: $i,X2: $i] : r2_hidden(X0,k3_tarski(k2_tarski(X1,k2_tarski(X2,X0)))),
inference(superposition,[status(thm)],[c_162055,c_2689]) ).
tcf(c_183815,plain,
! [X0: $i,X1: $i] : r2_hidden(X0,k3_relat_1(k6_partfun1(k2_tarski(X1,X0)))),
inference(superposition,[status(thm)],[c_169238,c_2689]) ).
tcf(c_183821,plain,
! [X0: $i,X1: $i] :
( r2_hidden(k2_tarski(X0,X0),X1)
| ~ r1_tarski(k1_zfmisc_1(k2_tarski(X0,X0)),X1) ),
inference(superposition,[status(thm)],[c_50679,c_2689]) ).
tcf(c_183857,plain,
! [X0: $i] :
( r2_wellord2(k2_finseq_1(sK260(X0)),sK260(X0))
| ~ v1_finset_1(X0) ),
inference(superposition,[status(thm)],[c_1658,c_2783]) ).
tcf(c_183858,plain,
! [X0: $i] :
( r2_wellord2(k2_finseq_1(sK421(X0)),sK421(X0))
| ~ v1_finset_1(X0) ),
inference(superposition,[status(thm)],[c_2781,c_2783]) ).
tcf(c_183859,plain,
! [X0: $i] :
( r2_wellord2(k2_finseq_1(sK561(X0)),sK561(X0))
| ~ v1_finset_1(X0) ),
inference(superposition,[status(thm)],[c_3679,c_2783]) ).
tcf(c_183885,plain,
! [X0: $i] :
( r1_tarski(np__0,k1_card_1(X0))
| ~ r1_tarski(np__0,X0) ),
inference(superposition,[status(thm)],[c_2812,c_2819]) ).
tcf(c_183886,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_tarski(k1_card_1(k2_zfmisc_1(X2,X2)),k1_card_1(X3))
| ( X0 = X1 )
| ~ r1_tarski(k1_funct_2(k2_tarski(X0,X1),X2),X3) ),
inference(superposition,[status(thm)],[c_3665,c_2819]) ).
tcf(c_183887,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_tarski(k1_card_1(k1_funct_2(k2_tarski(X2,X3),X0)),k1_card_1(X1))
| ( X2 = X3 )
| ~ r1_tarski(k2_zfmisc_1(X0,X0),X1) ),
inference(superposition,[status(thm)],[c_3665,c_2819]) ).
tcf(c_183888,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_tarski(k1_card_1(k1_zfmisc_1(X0)),k1_card_1(X3))
| ( X1 = X2 )
| ~ r1_tarski(k1_funct_2(X0,k2_tarski(X1,X2)),X3) ),
inference(superposition,[status(thm)],[c_3667,c_2819]) ).
tcf(c_183889,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_tarski(k1_card_1(k1_funct_2(X0,k2_zfmisc_1(X1,X2))),k1_card_1(X3))
| ~ r1_tarski(k2_zfmisc_1(k1_funct_2(X0,X1),k1_funct_2(X0,X2)),X3) ),
inference(superposition,[status(thm)],[c_3669,c_2819]) ).
tcf(c_183890,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_tarski(k1_card_1(k1_funct_2(X0,k1_funct_2(X1,X2))),k1_card_1(X3))
| ~ r1_tarski(k1_funct_2(k2_zfmisc_1(X0,X1),X2),X3) ),
inference(superposition,[status(thm)],[c_3671,c_2819]) ).
tcf(c_183891,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k1_card_1(X1),k1_card_1(X2))
| ~ r1_tarski(k1_funct_2(k2_tarski(X0,X0),X1),X2) ),
inference(superposition,[status(thm)],[c_48215,c_2819]) ).
tcf(c_183892,plain,
! [X0: $i] :
( r1_tarski(k1_card_1(X0),np__0)
| ~ r1_tarski(X0,np__0) ),
inference(superposition,[status(thm)],[c_2812,c_2819]) ).
tcf(c_183893,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_tarski(k1_card_1(X0),k1_card_1(k2_zfmisc_1(X3,X3)))
| ( X1 = X2 )
| ~ r1_tarski(X0,k1_funct_2(k2_tarski(X1,X2),X3)) ),
inference(superposition,[status(thm)],[c_3665,c_2819]) ).
tcf(c_183894,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_tarski(k1_card_1(X0),k1_card_1(k1_funct_2(k2_tarski(X2,X3),X1)))
| ( X2 = X3 )
| ~ r1_tarski(X0,k2_zfmisc_1(X1,X1)) ),
inference(superposition,[status(thm)],[c_3665,c_2819]) ).
tcf(c_183895,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_tarski(k1_card_1(X0),k1_card_1(k1_zfmisc_1(X1)))
| ( X2 = X3 )
| ~ r1_tarski(X0,k1_funct_2(X1,k2_tarski(X2,X3))) ),
inference(superposition,[status(thm)],[c_3667,c_2819]) ).
tcf(c_183896,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_tarski(k1_card_1(X0),k1_card_1(k1_funct_2(X1,k2_zfmisc_1(X2,X3))))
| ~ r1_tarski(X0,k2_zfmisc_1(k1_funct_2(X1,X2),k1_funct_2(X1,X3))) ),
inference(superposition,[status(thm)],[c_3669,c_2819]) ).
tcf(c_183897,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_tarski(k1_card_1(X0),k1_card_1(k1_funct_2(X1,k1_funct_2(X2,X3))))
| ~ r1_tarski(X0,k1_funct_2(k2_zfmisc_1(X1,X2),X3)) ),
inference(superposition,[status(thm)],[c_3671,c_2819]) ).
tcf(c_183898,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k1_card_1(X0),k1_card_1(X2))
| ~ r1_tarski(X0,k1_funct_2(k2_tarski(X1,X1),X2)) ),
inference(superposition,[status(thm)],[c_48215,c_2819]) ).
tcf(c_183899,plain,
! [X0: $i,X1: $i] :
( v1_finset_1(k1_card_1(X0))
| ~ v1_finset_1(k1_card_1(X1))
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_2819,c_1686]) ).
tcf(c_183900,plain,
! [X0: $i,X1: $i] :
( v1_membered(k1_card_1(X0))
| ~ v1_membered(k1_card_1(X1))
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_2819,c_1573]) ).
tcf(c_183901,plain,
! [X0: $i,X1: $i] :
( v2_membered(k1_card_1(X0))
| ~ v2_membered(k1_card_1(X1))
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_2819,c_1527]) ).
tcf(c_183902,plain,
! [X0: $i,X1: $i] :
( v3_membered(k1_card_1(X0))
| ~ v3_membered(k1_card_1(X1))
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_2819,c_1484]) ).
tcf(c_183903,plain,
! [X0: $i,X1: $i] :
( v4_membered(k1_card_1(X0))
| ~ v4_membered(k1_card_1(X1))
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_2819,c_1427]) ).
tcf(c_183904,plain,
! [X0: $i,X1: $i] :
( v5_membered(k1_card_1(X0))
| ~ v5_membered(k1_card_1(X1))
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_2819,c_1335]) ).
tcf(c_183905,plain,
! [X0: $i,X1: $i] :
( v1_relat_1(k1_card_1(X0))
| ~ v1_relat_1(k1_card_1(X1))
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_2819,c_539]) ).
tcf(c_183906,plain,
! [X0: $i,X1: $i] :
( ~ r1_tarski(X1,X0)
| ~ r2_hidden(k1_card_1(X0),k1_card_1(X1)) ),
inference(superposition,[status(thm)],[c_2819,c_538]) ).
tcf(c_183988,plain,
! [X0: $i] :
( v1_xcmplx_0(X0)
| ~ v1_membered(k1_zfmisc_1(X0)) ),
inference(superposition,[status(thm)],[c_183721,c_1578]) ).
tcf(c_183989,plain,
! [X0: $i] :
( v1_xreal_0(X0)
| ~ v2_membered(k1_zfmisc_1(X0)) ),
inference(superposition,[status(thm)],[c_183721,c_1535]) ).
tcf(c_183990,plain,
! [X0: $i] :
( v1_int_1(X0)
| ~ v4_membered(k1_zfmisc_1(X0)) ),
inference(superposition,[status(thm)],[c_183721,c_1435]) ).
tcf(c_183991,plain,
! [X0: $i] :
( v4_ordinal2(X0)
| ~ v5_membered(k1_zfmisc_1(X0)) ),
inference(superposition,[status(thm)],[c_183721,c_1343]) ).
tcf(c_183992,plain,
! [X0: $i] : ~ r2_hidden(k1_zfmisc_1(X0),X0),
inference(superposition,[status(thm)],[c_183721,c_631]) ).
tcf(c_183994,plain,
! [X0: $i] : m1_subset_1(X0,k1_zfmisc_1(X0)),
inference(superposition,[status(thm)],[c_183721,c_626]) ).
tcf(c_184009,plain,
! [X0: $i] :
( v1_xcmplx_0(X0)
| ~ v2_membered(k1_zfmisc_1(X0)) ),
inference(superposition,[status(thm)],[c_183994,c_1550]) ).
tcf(c_184043,plain,
! [X0: $i] : ~ r1_tarski(k1_zfmisc_1(k1_zfmisc_1(X0)),X0),
inference(superposition,[status(thm)],[c_562,c_183992]) ).
tcf(c_184044,plain,
~ v1_int_1(k1_zfmisc_1(k4_numbers)),
inference(superposition,[status(thm)],[c_2723,c_183992]) ).
tcf(c_184045,plain,
~ v1_xreal_0(k1_zfmisc_1(k1_numbers)),
inference(superposition,[status(thm)],[c_2744,c_183992]) ).
tcf(c_184052,plain,
! [X0: $i] :
( v4_finsub_1(sK52(X0))
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_174412,c_161211]) ).
tcf(c_184053,plain,
! [X0: $i] :
( v3_ordinal1(sK52(X0))
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_174412,c_161210]) ).
tcf(c_184054,plain,
! [X0: $i] :
( ( sK52(X0) = np__0 )
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_174412,c_600]) ).
tcf(c_184055,plain,
! [X0: $i] :
( v2_funct_1(sK52(X0))
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_174412,c_6810]) ).
tcf(c_184056,plain,
! [X0: $i] :
( v1_realset1(sK52(X0))
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_174412,c_2002]) ).
tcf(c_184057,plain,
! [X0: $i] :
( v1_finset_1(sK52(X0))
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_174412,c_1700]) ).
tcf(c_184058,plain,
! [X0: $i] :
( v5_membered(sK52(X0))
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_174412,c_1393]) ).
tcf(c_184059,plain,
! [X0: $i] :
( v4_membered(sK52(X0))
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_174412,c_1392]) ).
tcf(c_184060,plain,
! [X0: $i] :
( v3_membered(sK52(X0))
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_174412,c_1391]) ).
tcf(c_184061,plain,
! [X0: $i] :
( v2_membered(sK52(X0))
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_174412,c_1390]) ).
tcf(c_184062,plain,
! [X0: $i] :
( v1_membered(sK52(X0))
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_174412,c_1389]) ).
tcf(c_184063,plain,
! [X0: $i] :
( v1_relat_1(sK52(X0))
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_174412,c_582]) ).
tcf(c_184064,plain,
! [X0: $i] :
( v1_funct_1(sK52(X0))
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_174412,c_577]) ).
tcf(c_184140,plain,
v1_relat_1(sK52(k1_zfmisc_1(np__0))),
inference(superposition,[status(thm)],[c_619,c_174550]) ).
tcf(c_184142,plain,
! [X0: $i,X1: $i] : k5_relat_1(sK52(k1_zfmisc_1(k2_zfmisc_1(X0,X1))),np__0) = np__0,
inference(superposition,[status(thm)],[c_174550,c_2270]) ).
tcf(c_184143,plain,
! [X0: $i,X1: $i] : k5_relat_1(np__0,sK52(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))) = np__0,
inference(superposition,[status(thm)],[c_174550,c_2269]) ).
tcf(c_184144,plain,
! [X0: $i,X1: $i] : k7_relat_1(sK52(k1_zfmisc_1(k2_zfmisc_1(X0,X1))),np__0) = np__0,
inference(superposition,[status(thm)],[c_174550,c_2045]) ).
tcf(c_184149,plain,
( v1_xcmplx_0(sK92(k1_zfmisc_1(k1_numbers)))
| ~ v1_membered(k1_zfmisc_1(k1_numbers)) ),
inference(superposition,[status(thm)],[c_174630,c_1578]) ).
tcf(c_184151,plain,
( v1_int_1(sK92(k1_zfmisc_1(k1_numbers)))
| ~ v4_membered(k1_zfmisc_1(k1_numbers)) ),
inference(superposition,[status(thm)],[c_174630,c_1435]) ).
tcf(c_184152,plain,
( v4_ordinal2(sK92(k1_zfmisc_1(k1_numbers)))
| ~ v5_membered(k1_zfmisc_1(k1_numbers)) ),
inference(superposition,[status(thm)],[c_174630,c_1343]) ).
tcf(c_184153,plain,
~ r2_hidden(k1_zfmisc_1(k1_numbers),sK92(k1_zfmisc_1(k1_numbers))),
inference(superposition,[status(thm)],[c_174630,c_631]) ).
tcf(c_184155,plain,
m1_subset_1(sK92(k1_zfmisc_1(k1_numbers)),k1_zfmisc_1(k1_numbers)),
inference(superposition,[status(thm)],[c_174630,c_626]) ).
tcf(c_184157,plain,
r1_tarski(sK92(k1_zfmisc_1(k1_numbers)),k1_numbers),
inference(superposition,[status(thm)],[c_174630,c_563]) ).
tcf(c_184167,plain,
( v3_membered(sK92(k1_zfmisc_1(k1_numbers)))
| ~ v3_membered(k1_numbers) ),
inference(superposition,[status(thm)],[c_184157,c_1484]) ).
tcf(c_184168,plain,
( v4_membered(sK92(k1_zfmisc_1(k1_numbers)))
| ~ v4_membered(k1_numbers) ),
inference(superposition,[status(thm)],[c_184157,c_1427]) ).
tcf(c_184169,plain,
( v5_membered(sK92(k1_zfmisc_1(k1_numbers)))
| ~ v5_membered(k1_numbers) ),
inference(superposition,[status(thm)],[c_184157,c_1335]) ).
tcf(c_184170,plain,
( v1_relat_1(sK92(k1_zfmisc_1(k1_numbers)))
| ~ v1_relat_1(k1_numbers) ),
inference(superposition,[status(thm)],[c_184157,c_539]) ).
tcf(c_184171,plain,
~ r2_hidden(k1_numbers,sK92(k1_zfmisc_1(k1_numbers))),
inference(superposition,[status(thm)],[c_184157,c_538]) ).
tcf(c_184183,plain,
! [X0: $i] :
( v1_xcmplx_0(sK92(k1_zfmisc_1(X0)))
| ~ v1_membered(k1_zfmisc_1(X0)) ),
inference(superposition,[status(thm)],[c_174635,c_1578]) ).
tcf(c_184184,plain,
! [X0: $i] :
( v1_xreal_0(sK92(k1_zfmisc_1(X0)))
| ~ v2_membered(k1_zfmisc_1(X0)) ),
inference(superposition,[status(thm)],[c_174635,c_1535]) ).
tcf(c_184185,plain,
! [X0: $i] :
( v1_int_1(sK92(k1_zfmisc_1(X0)))
| ~ v4_membered(k1_zfmisc_1(X0)) ),
inference(superposition,[status(thm)],[c_174635,c_1435]) ).
tcf(c_184186,plain,
! [X0: $i] :
( v4_ordinal2(sK92(k1_zfmisc_1(X0)))
| ~ v5_membered(k1_zfmisc_1(X0)) ),
inference(superposition,[status(thm)],[c_174635,c_1343]) ).
tcf(c_184187,plain,
! [X0: $i] : ~ r2_hidden(k1_zfmisc_1(X0),sK92(k1_zfmisc_1(X0))),
inference(superposition,[status(thm)],[c_174635,c_631]) ).
tcf(c_184189,plain,
! [X0: $i] : m1_subset_1(sK92(k1_zfmisc_1(X0)),k1_zfmisc_1(X0)),
inference(superposition,[status(thm)],[c_174635,c_626]) ).
tcf(c_184191,plain,
! [X0: $i] : r1_tarski(sK92(k1_zfmisc_1(X0)),X0),
inference(superposition,[status(thm)],[c_174635,c_563]) ).
tcf(c_184205,plain,
! [X0: $i] :
( v1_finset_1(sK92(k1_zfmisc_1(X0)))
| ~ v1_finset_1(X0) ),
inference(superposition,[status(thm)],[c_184191,c_1686]) ).
tcf(c_184206,plain,
! [X0: $i] :
( v1_membered(sK92(k1_zfmisc_1(X0)))
| ~ v1_membered(X0) ),
inference(superposition,[status(thm)],[c_184191,c_1573]) ).
tcf(c_184207,plain,
! [X0: $i] :
( v2_membered(sK92(k1_zfmisc_1(X0)))
| ~ v2_membered(X0) ),
inference(superposition,[status(thm)],[c_184191,c_1527]) ).
tcf(c_184208,plain,
! [X0: $i] :
( v3_membered(sK92(k1_zfmisc_1(X0)))
| ~ v3_membered(X0) ),
inference(superposition,[status(thm)],[c_184191,c_1484]) ).
tcf(c_184209,plain,
! [X0: $i] :
( v4_membered(sK92(k1_zfmisc_1(X0)))
| ~ v4_membered(X0) ),
inference(superposition,[status(thm)],[c_184191,c_1427]) ).
tcf(c_184210,plain,
! [X0: $i] :
( v5_membered(sK92(k1_zfmisc_1(X0)))
| ~ v5_membered(X0) ),
inference(superposition,[status(thm)],[c_184191,c_1335]) ).
tcf(c_184211,plain,
! [X0: $i] :
( v1_relat_1(sK92(k1_zfmisc_1(X0)))
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_184191,c_539]) ).
tcf(c_184212,plain,
! [X0: $i] : ~ r2_hidden(X0,sK92(k1_zfmisc_1(X0))),
inference(superposition,[status(thm)],[c_184191,c_538]) ).
tcf(c_184223,plain,
v1_membered(sK92(k1_zfmisc_1(k3_numbers))),
inference(superposition,[status(thm)],[c_184191,c_167228]) ).
tcf(c_184224,plain,
v2_membered(sK92(k1_zfmisc_1(k3_numbers))),
inference(superposition,[status(thm)],[c_184191,c_167227]) ).
tcf(c_184225,plain,
v3_membered(sK92(k1_zfmisc_1(k3_numbers))),
inference(superposition,[status(thm)],[c_184191,c_167226]) ).
tcf(c_184228,plain,
! [X0: $i,X1: $i] : r1_xboole_0(sK92(k1_zfmisc_1(k4_xboole_0(X0,X1))),X1),
inference(superposition,[status(thm)],[c_184191,c_2437]) ).
tcf(c_184229,plain,
! [X0: $i,X1: $i] : r1_tarski(sK92(k1_zfmisc_1(k4_xboole_0(X0,X1))),X0),
inference(superposition,[status(thm)],[c_184191,c_2436]) ).
tcf(c_184254,plain,
! [X0: $i] :
( ( k2_tarski(sK426(X0),sK426(X0)) = X0 )
| ( k1_card_1(k1_zfmisc_1(np__0)) != k1_card_1(X0) ) ),
inference(light_normalisation,[status(thm)],[c_56732,c_169692]) ).
tcf(c_184261,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X2 )
| ( k2_tarski(sK426(k1_funct_2(k2_tarski(X1,X2),X0)),sK426(k1_funct_2(k2_tarski(X1,X2),X0))) = k1_funct_2(k2_tarski(X1,X2),X0) )
| ( k1_card_1(k2_zfmisc_1(X0,X0)) != k1_card_1(k1_zfmisc_1(np__0)) ) ),
inference(superposition,[status(thm)],[c_3665,c_184254]) ).
tcf(c_184262,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X1 )
| ( k2_tarski(sK426(k2_zfmisc_1(X2,X2)),sK426(k2_zfmisc_1(X2,X2))) = k2_zfmisc_1(X2,X2) )
| ( k1_card_1(k1_funct_2(k2_tarski(X0,X1),X2)) != k1_card_1(k1_zfmisc_1(np__0)) ) ),
inference(superposition,[status(thm)],[c_3665,c_184254]) ).
tcf(c_184263,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X2 )
| ( k2_tarski(sK426(k1_funct_2(X0,k2_tarski(X1,X2))),sK426(k1_funct_2(X0,k2_tarski(X1,X2)))) = k1_funct_2(X0,k2_tarski(X1,X2)) )
| ( k1_card_1(k1_zfmisc_1(X0)) != k1_card_1(k1_zfmisc_1(np__0)) ) ),
inference(superposition,[status(thm)],[c_3667,c_184254]) ).
tcf(c_184264,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k2_tarski(sK426(k2_zfmisc_1(k1_funct_2(X0,X1),k1_funct_2(X0,X2))),sK426(k2_zfmisc_1(k1_funct_2(X0,X1),k1_funct_2(X0,X2)))) = k2_zfmisc_1(k1_funct_2(X0,X1),k1_funct_2(X0,X2)) )
| ( k1_card_1(k1_funct_2(X0,k2_zfmisc_1(X1,X2))) != k1_card_1(k1_zfmisc_1(np__0)) ) ),
inference(superposition,[status(thm)],[c_3669,c_184254]) ).
tcf(c_184265,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k2_tarski(sK426(k1_funct_2(k2_zfmisc_1(X0,X1),X2)),sK426(k1_funct_2(k2_zfmisc_1(X0,X1),X2))) = k1_funct_2(k2_zfmisc_1(X0,X1),X2) )
| ( k1_card_1(k1_funct_2(X0,k1_funct_2(X1,X2))) != k1_card_1(k1_zfmisc_1(np__0)) ) ),
inference(superposition,[status(thm)],[c_3671,c_184254]) ).
tcf(c_184266,plain,
! [X0: $i,X1: $i] :
( ( k2_tarski(sK426(k1_funct_2(k2_tarski(X1,X1),X0)),sK426(k1_funct_2(k2_tarski(X1,X1),X0))) = k1_funct_2(k2_tarski(X1,X1),X0) )
| ( k1_card_1(k1_zfmisc_1(np__0)) != k1_card_1(X0) ) ),
inference(superposition,[status(thm)],[c_48215,c_184254]) ).
tcf(c_184267,plain,
k2_tarski(sK426(k1_zfmisc_1(np__0)),sK426(k1_zfmisc_1(np__0))) = k1_zfmisc_1(np__0),
inference(equality_resolution,[status(thm)],[c_184254]) ).
tcf(c_184290,plain,
! [X0: $i,X1: $i] :
( ( X0 = np__0 )
| ( k10_relat_1(sK46(X0,X1),np__0) = np__0 ) ),
inference(superposition,[status(thm)],[c_100,c_3121]) ).
tcf(c_184291,plain,
k10_relat_1(sK84,np__0) = np__0,
inference(superposition,[status(thm)],[c_579,c_3121]) ).
tcf(c_184292,plain,
k10_relat_1(np__0,np__0) = np__0,
inference(superposition,[status(thm)],[c_3339,c_3121]) ).
tcf(c_184293,plain,
! [X0: $i,X1: $i] : k10_relat_1(k2_zfmisc_1(X0,X1),np__0) = np__0,
inference(superposition,[status(thm)],[c_613,c_3121]) ).
tcf(c_184294,plain,
! [X0: $i] :
( ( X0 = np__0 )
| ( k10_relat_1(sK112(X0),np__0) = np__0 ) ),
inference(superposition,[status(thm)],[c_690,c_3121]) ).
tcf(c_184295,plain,
! [X0: $i] :
( ( X0 = np__0 )
| ( k10_relat_1(sK111(X0),np__0) = np__0 ) ),
inference(superposition,[status(thm)],[c_692,c_3121]) ).
tcf(c_184296,plain,
! [X0: $i,X1: $i] :
( ( X0 = np__0 )
| ( k10_relat_1(sK115(X0,X1),np__0) = np__0 ) ),
inference(superposition,[status(thm)],[c_720,c_3121]) ).
tcf(c_184297,plain,
! [X0: $i] :
( ( k10_relat_1(k2_relat_1(X0),np__0) = np__0 )
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_745,c_3121]) ).
tcf(c_184298,plain,
k10_relat_1(sK121,np__0) = np__0,
inference(superposition,[status(thm)],[c_747,c_3121]) ).
tcf(c_184299,plain,
! [X0: $i] :
( ( k10_relat_1(k1_relat_1(X0),np__0) = np__0 )
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_751,c_3121]) ).
tcf(c_184300,plain,
! [X0: $i,X1: $i] :
( ( k10_relat_1(k1_realset1(X0,X1),np__0) = np__0 )
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_1004,c_3121]) ).
tcf(c_184301,plain,
k10_relat_1(sK261,np__0) = np__0,
inference(superposition,[status(thm)],[c_1665,c_3121]) ).
tcf(c_184302,plain,
! [X0: $i,X1: $i] :
( ( k10_relat_1(k4_xboole_0(X0,X1),np__0) = np__0 )
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_1711,c_3121]) ).
tcf(c_184303,plain,
! [X0: $i,X1: $i] :
( ( k10_relat_1(k7_relat_1(X0,X1),np__0) = np__0 )
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_2035,c_3121]) ).
tcf(c_184304,plain,
! [X0: $i,X1: $i] : k10_relat_1(sK333(X0,X1),np__0) = np__0,
inference(superposition,[status(thm)],[c_2114,c_3121]) ).
tcf(c_184305,plain,
! [X0: $i,X1: $i] : k10_relat_1(sK334(X0,X1),np__0) = np__0,
inference(superposition,[status(thm)],[c_2118,c_3121]) ).
tcf(c_184306,plain,
! [X0: $i] : k10_relat_1(k6_partfun1(X0),np__0) = np__0,
inference(superposition,[status(thm)],[c_2184,c_3121]) ).
tcf(c_184309,plain,
k10_relat_1(sK448,np__0) = np__0,
inference(superposition,[status(thm)],[c_2875,c_3121]) ).
tcf(c_184310,plain,
! [X0: $i,X1: $i] :
( ( k10_relat_1(k8_relat_1(X1,X0),np__0) = np__0 )
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_3291,c_3121]) ).
tcf(c_184311,plain,
! [X0: $i] :
( ( k10_relat_1(sK522(X0),np__0) = np__0 )
| ~ v1_finset_1(X0) ),
inference(superposition,[status(thm)],[c_3331,c_3121]) ).
tcf(c_184312,plain,
k10_relat_1(sK523,np__0) = np__0,
inference(superposition,[status(thm)],[c_3343,c_3121]) ).
tcf(c_184313,plain,
! [X0: $i] : k10_relat_1(sK524(X0),np__0) = np__0,
inference(superposition,[status(thm)],[c_3348,c_3121]) ).
tcf(c_184314,plain,
k10_relat_1(sK525,np__0) = np__0,
inference(superposition,[status(thm)],[c_3353,c_3121]) ).
tcf(c_184315,plain,
! [X0: $i] :
( ( k10_relat_1(k4_relat_1(X0),np__0) = np__0 )
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_3389,c_3121]) ).
tcf(c_184316,plain,
! [X0: $i] :
( ( k10_relat_1(k4_relat_1(X0),np__0) = np__0 )
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_3373,c_3121]) ).
tcf(c_184317,plain,
! [X0: $i,X1: $i] :
( ( k10_relat_1(sK569(X0,X1),np__0) = np__0 )
| ~ sP37(X0,X1) ),
inference(superposition,[status(thm)],[c_3727,c_3121]) ).
tcf(c_184318,plain,
! [X0: $i,X1: $i] :
( ( k10_relat_1(k1_setfam_1(k2_tarski(X1,X0)),np__0) = np__0 )
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_47707,c_3121]) ).
tcf(c_184319,plain,
! [X0: $i] :
( ( k10_relat_1(k1_pre_topc(X0),np__0) = np__0 )
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_160937,c_3121]) ).
tcf(c_184320,plain,
! [X0: $i] :
( ( k10_relat_1(k1_pre_topc(X0),np__0) = np__0 )
| ~ l1_struct_0(X0) ),
inference(superposition,[status(thm)],[c_159838,c_3121]) ).
tcf(c_184321,plain,
( ( k10_relat_1(k1_tops_1(sK39,np__0),np__0) = np__0 )
| ~ l1_pre_topc(sK39) ),
inference(superposition,[status(thm)],[c_167019,c_3121]) ).
tcf(c_184322,plain,
! [X0: $i,X1: $i] : k10_relat_1(k5_relat_1(k6_partfun1(X0),k6_partfun1(X1)),np__0) = np__0,
inference(superposition,[status(thm)],[c_169449,c_3121]) ).
tcf(c_184323,plain,
! [X0: $i,X1: $i] : k10_relat_1(sK52(k1_zfmisc_1(k2_zfmisc_1(X0,X1))),np__0) = np__0,
inference(superposition,[status(thm)],[c_174550,c_3121]) ).
tcf(c_184324,plain,
( ( k10_relat_1(sK92(k1_zfmisc_1(u1_struct_0(sK39))),np__0) = np__0 )
| ~ v1_relat_1(u1_struct_0(sK39)) ),
inference(superposition,[status(thm)],[c_174649,c_3121]) ).
tcf(c_184397,plain,
( r1_tarski(np__0,k1_relat_1(np__0))
| ~ v1_relat_1(np__0) ),
inference(superposition,[status(thm)],[c_3120,c_3125]) ).
tcf(c_184398,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k10_relat_1(sK46(X0,X1),X2),X0)
| ( X0 = np__0 )
| ~ v1_relat_1(sK46(X0,X1)) ),
inference(superposition,[status(thm)],[c_102,c_3125]) ).
tcf(c_184399,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k10_relat_1(sK111(X0),X1),X0)
| ( X0 = np__0 )
| ~ v1_relat_1(sK111(X0)) ),
inference(superposition,[status(thm)],[c_688,c_3125]) ).
tcf(c_184400,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k10_relat_1(sK112(X0),X1),X0)
| ( X0 = np__0 )
| ~ v1_relat_1(sK112(X0)) ),
inference(superposition,[status(thm)],[c_689,c_3125]) ).
tcf(c_184401,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k10_relat_1(sK115(X0,X1),X2),X1)
| ( X0 = np__0 )
| ~ v1_relat_1(sK115(X0,X1)) ),
inference(superposition,[status(thm)],[c_718,c_3125]) ).
tcf(c_184402,plain,
! [X0: $i] :
( r1_tarski(k10_relat_1(np__0,X0),np__0)
| ~ v1_relat_1(np__0) ),
inference(superposition,[status(thm)],[c_730,c_3125]) ).
tcf(c_184403,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k10_relat_1(k6_partfun1(X0),X1),X0)
| ~ v1_relat_1(k6_partfun1(X0)) ),
inference(superposition,[status(thm)],[c_2203,c_3125]) ).
tcf(c_184404,plain,
! [X0: $i,X1: $i] :
( v1_finset_1(k10_relat_1(X0,X1))
| ~ v1_relat_1(X0)
| ~ v1_finset_1(k1_relat_1(X0)) ),
inference(superposition,[status(thm)],[c_3125,c_1686]) ).
tcf(c_184405,plain,
! [X0: $i,X1: $i] :
( v1_membered(k10_relat_1(X0,X1))
| ~ v1_relat_1(X0)
| ~ v1_membered(k1_relat_1(X0)) ),
inference(superposition,[status(thm)],[c_3125,c_1573]) ).
tcf(c_184406,plain,
! [X0: $i,X1: $i] :
( v2_membered(k10_relat_1(X0,X1))
| ~ v1_relat_1(X0)
| ~ v2_membered(k1_relat_1(X0)) ),
inference(superposition,[status(thm)],[c_3125,c_1527]) ).
tcf(c_184407,plain,
! [X0: $i,X1: $i] :
( v3_membered(k10_relat_1(X0,X1))
| ~ v1_relat_1(X0)
| ~ v3_membered(k1_relat_1(X0)) ),
inference(superposition,[status(thm)],[c_3125,c_1484]) ).
tcf(c_184408,plain,
! [X0: $i,X1: $i] :
( v4_membered(k10_relat_1(X0,X1))
| ~ v1_relat_1(X0)
| ~ v4_membered(k1_relat_1(X0)) ),
inference(superposition,[status(thm)],[c_3125,c_1427]) ).
tcf(c_184409,plain,
! [X0: $i,X1: $i] :
( v5_membered(k10_relat_1(X0,X1))
| ~ v1_relat_1(X0)
| ~ v5_membered(k1_relat_1(X0)) ),
inference(superposition,[status(thm)],[c_3125,c_1335]) ).
tcf(c_184410,plain,
! [X0: $i,X1: $i] :
( v1_relat_1(k10_relat_1(X0,X1))
| ~ v1_relat_1(X0)
| ~ v1_relat_1(k1_relat_1(X0)) ),
inference(superposition,[status(thm)],[c_3125,c_539]) ).
tcf(c_184411,plain,
! [X0: $i,X1: $i] :
( ~ v1_relat_1(X0)
| ~ r2_hidden(k1_relat_1(X0),k10_relat_1(X0,X1)) ),
inference(superposition,[status(thm)],[c_3125,c_538]) ).
tcf(c_184416,plain,
! [X0: $i,X1: $i] : r1_tarski(k10_relat_1(k6_partfun1(X0),X1),X0),
inference(forward_subsumption_resolution,[status(thm)],[c_184403,c_2184]) ).
tcf(c_184469,plain,
! [X0: $i,X1: $i] :
( ( X0 = np__0 )
| ( k9_relat_1(sK46(X0,X1),np__0) = np__0 ) ),
inference(superposition,[status(thm)],[c_100,c_3161]) ).
tcf(c_184470,plain,
k9_relat_1(sK84,np__0) = np__0,
inference(superposition,[status(thm)],[c_579,c_3161]) ).
tcf(c_184471,plain,
k9_relat_1(np__0,np__0) = np__0,
inference(superposition,[status(thm)],[c_3339,c_3161]) ).
tcf(c_184472,plain,
! [X0: $i,X1: $i] : k9_relat_1(k2_zfmisc_1(X0,X1),np__0) = np__0,
inference(superposition,[status(thm)],[c_613,c_3161]) ).
tcf(c_184473,plain,
! [X0: $i] :
( ( X0 = np__0 )
| ( k9_relat_1(sK112(X0),np__0) = np__0 ) ),
inference(superposition,[status(thm)],[c_690,c_3161]) ).
tcf(c_184474,plain,
! [X0: $i] :
( ( X0 = np__0 )
| ( k9_relat_1(sK111(X0),np__0) = np__0 ) ),
inference(superposition,[status(thm)],[c_692,c_3161]) ).
tcf(c_184475,plain,
! [X0: $i,X1: $i] :
( ( X0 = np__0 )
| ( k9_relat_1(sK115(X0,X1),np__0) = np__0 ) ),
inference(superposition,[status(thm)],[c_720,c_3161]) ).
tcf(c_184476,plain,
! [X0: $i] :
( ( k9_relat_1(k2_relat_1(X0),np__0) = np__0 )
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_745,c_3161]) ).
tcf(c_184477,plain,
k9_relat_1(sK121,np__0) = np__0,
inference(superposition,[status(thm)],[c_747,c_3161]) ).
tcf(c_184478,plain,
! [X0: $i] :
( ( k9_relat_1(k1_relat_1(X0),np__0) = np__0 )
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_751,c_3161]) ).
tcf(c_184479,plain,
! [X0: $i,X1: $i] :
( ( k9_relat_1(k1_realset1(X0,X1),np__0) = np__0 )
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_1004,c_3161]) ).
tcf(c_184480,plain,
k9_relat_1(sK261,np__0) = np__0,
inference(superposition,[status(thm)],[c_1665,c_3161]) ).
tcf(c_184481,plain,
! [X0: $i,X1: $i] :
( ( k9_relat_1(k4_xboole_0(X0,X1),np__0) = np__0 )
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_1711,c_3161]) ).
tcf(c_184482,plain,
! [X0: $i,X1: $i] :
( ( k9_relat_1(k7_relat_1(X0,X1),np__0) = np__0 )
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_2035,c_3161]) ).
tcf(c_184483,plain,
! [X0: $i,X1: $i] : k9_relat_1(sK333(X0,X1),np__0) = np__0,
inference(superposition,[status(thm)],[c_2114,c_3161]) ).
tcf(c_184484,plain,
! [X0: $i,X1: $i] : k9_relat_1(sK334(X0,X1),np__0) = np__0,
inference(superposition,[status(thm)],[c_2118,c_3161]) ).
tcf(c_184485,plain,
! [X0: $i] : k9_relat_1(k6_partfun1(X0),np__0) = np__0,
inference(superposition,[status(thm)],[c_2184,c_3161]) ).
tcf(c_184488,plain,
k9_relat_1(sK448,np__0) = np__0,
inference(superposition,[status(thm)],[c_2875,c_3161]) ).
tcf(c_184489,plain,
! [X0: $i,X1: $i] :
( ( k9_relat_1(k8_relat_1(X1,X0),np__0) = np__0 )
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_3291,c_3161]) ).
tcf(c_184490,plain,
! [X0: $i] :
( ( k9_relat_1(sK522(X0),np__0) = np__0 )
| ~ v1_finset_1(X0) ),
inference(superposition,[status(thm)],[c_3331,c_3161]) ).
tcf(c_184491,plain,
k9_relat_1(sK523,np__0) = np__0,
inference(superposition,[status(thm)],[c_3343,c_3161]) ).
tcf(c_184492,plain,
! [X0: $i] : k9_relat_1(sK524(X0),np__0) = np__0,
inference(superposition,[status(thm)],[c_3348,c_3161]) ).
tcf(c_184493,plain,
k9_relat_1(sK525,np__0) = np__0,
inference(superposition,[status(thm)],[c_3353,c_3161]) ).
tcf(c_184494,plain,
! [X0: $i] :
( ( k9_relat_1(k4_relat_1(X0),np__0) = np__0 )
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_3389,c_3161]) ).
tcf(c_184495,plain,
! [X0: $i] :
( ( k9_relat_1(k4_relat_1(X0),np__0) = np__0 )
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_3373,c_3161]) ).
tcf(c_184496,plain,
! [X0: $i,X1: $i] :
( ( k9_relat_1(sK569(X0,X1),np__0) = np__0 )
| ~ sP37(X0,X1) ),
inference(superposition,[status(thm)],[c_3727,c_3161]) ).
tcf(c_184497,plain,
! [X0: $i,X1: $i] :
( ( k9_relat_1(k1_setfam_1(k2_tarski(X1,X0)),np__0) = np__0 )
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_47707,c_3161]) ).
tcf(c_184498,plain,
! [X0: $i] :
( ( k9_relat_1(k1_pre_topc(X0),np__0) = np__0 )
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_160937,c_3161]) ).
tcf(c_184499,plain,
! [X0: $i] :
( ( k9_relat_1(k1_pre_topc(X0),np__0) = np__0 )
| ~ l1_struct_0(X0) ),
inference(superposition,[status(thm)],[c_159838,c_3161]) ).
tcf(c_184500,plain,
( ( k9_relat_1(k1_tops_1(sK39,np__0),np__0) = np__0 )
| ~ l1_pre_topc(sK39) ),
inference(superposition,[status(thm)],[c_167019,c_3161]) ).
tcf(c_184501,plain,
! [X0: $i,X1: $i] : k9_relat_1(k5_relat_1(k6_partfun1(X0),k6_partfun1(X1)),np__0) = np__0,
inference(superposition,[status(thm)],[c_169449,c_3161]) ).
tcf(c_184502,plain,
! [X0: $i,X1: $i] : k9_relat_1(sK52(k1_zfmisc_1(k2_zfmisc_1(X0,X1))),np__0) = np__0,
inference(superposition,[status(thm)],[c_174550,c_3161]) ).
tcf(c_184503,plain,
( ( k9_relat_1(sK92(k1_zfmisc_1(u1_struct_0(sK39))),np__0) = np__0 )
| ~ v1_relat_1(u1_struct_0(sK39)) ),
inference(superposition,[status(thm)],[c_174649,c_3161]) ).
tcf(c_184624,plain,
( r1_tarski(np__0,k2_relat_1(np__0))
| ~ v1_relat_1(np__0) ),
inference(superposition,[status(thm)],[c_3160,c_3165]) ).
tcf(c_184625,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k9_relat_1(sK46(X0,X1),X2),k2_tarski(X1,X1))
| ( X0 = np__0 )
| ~ v1_relat_1(sK46(X0,X1)) ),
inference(superposition,[status(thm)],[c_51182,c_3165]) ).
tcf(c_184626,plain,
! [X0: $i] :
( r1_tarski(k9_relat_1(np__0,X0),np__0)
| ~ v1_relat_1(np__0) ),
inference(superposition,[status(thm)],[c_731,c_3165]) ).
tcf(c_184627,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k9_relat_1(k6_partfun1(X0),X1),X0)
| ~ v1_relat_1(k6_partfun1(X0)) ),
inference(superposition,[status(thm)],[c_2204,c_3165]) ).
tcf(c_184628,plain,
! [X0: $i,X1: $i] :
( v1_finset_1(k9_relat_1(X0,X1))
| ~ v1_relat_1(X0)
| ~ v1_finset_1(k2_relat_1(X0)) ),
inference(superposition,[status(thm)],[c_3165,c_1686]) ).
tcf(c_184629,plain,
! [X0: $i,X1: $i] :
( v1_membered(k9_relat_1(X0,X1))
| ~ v1_relat_1(X0)
| ~ v1_membered(k2_relat_1(X0)) ),
inference(superposition,[status(thm)],[c_3165,c_1573]) ).
tcf(c_184630,plain,
! [X0: $i,X1: $i] :
( v2_membered(k9_relat_1(X0,X1))
| ~ v1_relat_1(X0)
| ~ v2_membered(k2_relat_1(X0)) ),
inference(superposition,[status(thm)],[c_3165,c_1527]) ).
tcf(c_184631,plain,
! [X0: $i,X1: $i] :
( v3_membered(k9_relat_1(X0,X1))
| ~ v1_relat_1(X0)
| ~ v3_membered(k2_relat_1(X0)) ),
inference(superposition,[status(thm)],[c_3165,c_1484]) ).
tcf(c_184632,plain,
! [X0: $i,X1: $i] :
( v4_membered(k9_relat_1(X0,X1))
| ~ v1_relat_1(X0)
| ~ v4_membered(k2_relat_1(X0)) ),
inference(superposition,[status(thm)],[c_3165,c_1427]) ).
tcf(c_184633,plain,
! [X0: $i,X1: $i] :
( v5_membered(k9_relat_1(X0,X1))
| ~ v1_relat_1(X0)
| ~ v5_membered(k2_relat_1(X0)) ),
inference(superposition,[status(thm)],[c_3165,c_1335]) ).
tcf(c_184634,plain,
! [X0: $i,X1: $i] :
( v1_relat_1(k9_relat_1(X0,X1))
| ~ v1_relat_1(X0)
| ~ v1_relat_1(k2_relat_1(X0)) ),
inference(superposition,[status(thm)],[c_3165,c_539]) ).
tcf(c_184635,plain,
! [X0: $i,X1: $i] :
( ~ v1_relat_1(X0)
| ~ r2_hidden(k2_relat_1(X0),k9_relat_1(X0,X1)) ),
inference(superposition,[status(thm)],[c_3165,c_538]) ).
tcf(c_184640,plain,
! [X0: $i,X1: $i] : r1_tarski(k9_relat_1(k6_partfun1(X0),X1),X0),
inference(forward_subsumption_resolution,[status(thm)],[c_184627,c_2184]) ).
tcf(c_184682,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(k5_relat_1(k6_partfun1(X0),k6_partfun1(X1)))
| ~ v1_xboole_0(k1_setfam_1(k2_tarski(X0,X1))) ),
inference(superposition,[status(thm)],[c_49266,c_174842]) ).
tcf(c_184683,plain,
! [X0: $i] :
( v4_finsub_1(k6_partfun1(X0))
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_174842,c_161211]) ).
tcf(c_184684,plain,
! [X0: $i] :
( v3_ordinal1(k6_partfun1(X0))
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_174842,c_161210]) ).
tcf(c_184685,plain,
! [X0: $i] :
( ( k6_partfun1(X0) = np__0 )
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_174842,c_600]) ).
tcf(c_184687,plain,
! [X0: $i] :
( v1_realset1(k6_partfun1(X0))
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_174842,c_2002]) ).
tcf(c_184688,plain,
! [X0: $i] :
( v1_finset_1(k6_partfun1(X0))
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_174842,c_1700]) ).
tcf(c_184689,plain,
! [X0: $i] :
( v5_membered(k6_partfun1(X0))
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_174842,c_1393]) ).
tcf(c_184690,plain,
! [X0: $i] :
( v4_membered(k6_partfun1(X0))
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_174842,c_1392]) ).
tcf(c_184691,plain,
! [X0: $i] :
( v3_membered(k6_partfun1(X0))
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_174842,c_1391]) ).
tcf(c_184692,plain,
! [X0: $i] :
( v2_membered(k6_partfun1(X0))
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_174842,c_1390]) ).
tcf(c_184693,plain,
! [X0: $i] :
( v1_membered(k6_partfun1(X0))
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_174842,c_1389]) ).
tcf(c_184764,plain,
( v1_xcmplx_0(sK228(k1_numbers))
| ~ v5_membered(k1_numbers) ),
inference(superposition,[status(thm)],[c_175208,c_2750]) ).
tcf(c_184771,plain,
( v1_xreal_0(sK228(k4_numbers))
| ~ v5_membered(k4_numbers) ),
inference(superposition,[status(thm)],[c_175211,c_2716]) ).
tcf(c_184772,plain,
( v1_xcmplx_0(sK228(k4_numbers))
| ~ v5_membered(k4_numbers) ),
inference(superposition,[status(thm)],[c_175211,c_2715]) ).
tcf(c_184785,plain,
! [X0: $i,X1: $i] :
( ( X0 = np__0 )
| ( k1_setfam_1(X0) = X1 )
| ( k1_setfam_1(k4_xboole_0(k2_tarski(k1_setfam_1(X0),X1),k2_tarski(X1,X1))) = k1_setfam_1(k3_tarski(k2_tarski(X0,X0))) ) ),
inference(superposition,[status(thm)],[c_54771,c_56775]) ).
tcf(c_184786,plain,
! [X0: $i,X1: $i] :
( ( X1 = np__0 )
| ( X0 = np__0 )
| ( k1_setfam_1(k2_tarski(k1_setfam_1(X0),k1_setfam_1(X1))) = k1_setfam_1(k3_tarski(k2_tarski(X0,X1))) ) ),
inference(superposition,[status(thm)],[c_2707,c_56775]) ).
tcf(c_184787,plain,
! [X0: $i,X1: $i] :
( ( X1 = np__0 )
| ( X0 = np__0 )
| ( k1_setfam_1(k2_relat_1(sK46(X0,k1_setfam_1(X1)))) = k1_setfam_1(k3_tarski(k2_tarski(X1,X1))) ) ),
inference(superposition,[status(thm)],[c_51182,c_56775]) ).
tcf(c_184789,plain,
! [X0: $i,X1: $i] :
( ( X0 = np__0 )
| ( k2_tarski(X1,X1) = np__0 )
| ( k1_setfam_1(k3_tarski(k2_tarski(X0,k2_tarski(X1,X1)))) = k1_setfam_1(k2_tarski(X1,k1_setfam_1(X0))) ) ),
inference(superposition,[status(thm)],[c_47410,c_56775]) ).
tcf(c_184790,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X3 = np__0 )
| ( k2_tarski(k4_xboole_0(X0,X2),X1) = np__0 )
| ( k1_setfam_1(k2_tarski(k4_xboole_0(k1_setfam_1(k2_tarski(X0,X1)),X2),k1_setfam_1(X3))) = k1_setfam_1(k3_tarski(k2_tarski(X3,k2_tarski(k4_xboole_0(X0,X2),X1)))) ) ),
inference(superposition,[status(thm)],[c_52024,c_56775]) ).
tcf(c_184791,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2 = np__0 )
| ( k2_tarski(k1_zfmisc_1(X0),k1_zfmisc_1(X1)) = np__0 )
| ( k1_setfam_1(k2_tarski(k1_zfmisc_1(k1_setfam_1(k2_tarski(X0,X1))),k1_setfam_1(X2))) = k1_setfam_1(k3_tarski(k2_tarski(X2,k2_tarski(k1_zfmisc_1(X0),k1_zfmisc_1(X1))))) ) ),
inference(superposition,[status(thm)],[c_52026,c_56775]) ).
tcf(c_184792,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2 = np__0 )
| ( k2_tarski(k5_finsub_1(X0),k5_finsub_1(X1)) = np__0 )
| ( k1_setfam_1(k2_tarski(k5_finsub_1(k1_setfam_1(k2_tarski(X0,X1))),k1_setfam_1(X2))) = k1_setfam_1(k3_tarski(k2_tarski(X2,k2_tarski(k5_finsub_1(X0),k5_finsub_1(X1))))) ) ),
inference(superposition,[status(thm)],[c_52028,c_56775]) ).
tcf(c_184794,plain,
! [X0: $i,X1: $i] :
( ( X0 = np__0 )
| ( k2_tarski(X1,np__0) = np__0 )
| ( k1_setfam_1(k3_tarski(k2_tarski(X0,k2_tarski(X1,np__0)))) = k1_setfam_1(k2_tarski(np__0,k1_setfam_1(X0))) ) ),
inference(superposition,[status(thm)],[c_160609,c_56775]) ).
tcf(c_184795,plain,
! [X0: $i,X1: $i] :
( ( X0 = np__0 )
| ( k2_tarski(np__0,X1) = np__0 )
| ( k1_setfam_1(k3_tarski(k2_tarski(X0,k2_tarski(np__0,X1)))) = k1_setfam_1(k2_tarski(np__0,k1_setfam_1(X0))) ) ),
inference(superposition,[status(thm)],[c_160608,c_56775]) ).
tcf(c_184796,plain,
! [X0: $i] :
( ( np__0 = k1_numbers )
| ( X0 = np__0 )
| ( k1_setfam_1(k2_tarski(np__0,k1_setfam_1(X0))) = k1_setfam_1(k3_tarski(k2_tarski(X0,k1_numbers))) ) ),
inference(superposition,[status(thm)],[c_183451,c_56775]) ).
tcf(c_184798,plain,
! [X0: $i,X1: $i] :
( ( X1 = np__0 )
| ( k2_tarski(X0,X0) = np__0 )
| ( k1_setfam_1(k3_tarski(k2_tarski(k2_tarski(X0,X0),X1))) = k1_setfam_1(k2_tarski(k1_setfam_1(X1),X0)) ) ),
inference(superposition,[status(thm)],[c_47410,c_56775]) ).
tcf(c_184799,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X0 = np__0 )
| ( k2_tarski(k4_xboole_0(X1,X3),X2) = np__0 )
| ( k1_setfam_1(k2_tarski(k1_setfam_1(X0),k4_xboole_0(k1_setfam_1(k2_tarski(X1,X2)),X3))) = k1_setfam_1(k3_tarski(k2_tarski(k2_tarski(k4_xboole_0(X1,X3),X2),X0))) ) ),
inference(superposition,[status(thm)],[c_52024,c_56775]) ).
tcf(c_184800,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = np__0 )
| ( k2_tarski(k1_zfmisc_1(X1),k1_zfmisc_1(X2)) = np__0 )
| ( k1_setfam_1(k2_tarski(k1_setfam_1(X0),k1_zfmisc_1(k1_setfam_1(k2_tarski(X1,X2))))) = k1_setfam_1(k3_tarski(k2_tarski(k2_tarski(k1_zfmisc_1(X1),k1_zfmisc_1(X2)),X0))) ) ),
inference(superposition,[status(thm)],[c_52026,c_56775]) ).
tcf(c_184801,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = np__0 )
| ( k2_tarski(k5_finsub_1(X1),k5_finsub_1(X2)) = np__0 )
| ( k1_setfam_1(k2_tarski(k1_setfam_1(X0),k5_finsub_1(k1_setfam_1(k2_tarski(X1,X2))))) = k1_setfam_1(k3_tarski(k2_tarski(k2_tarski(k5_finsub_1(X1),k5_finsub_1(X2)),X0))) ) ),
inference(superposition,[status(thm)],[c_52028,c_56775]) ).
tcf(c_184803,plain,
! [X0: $i,X1: $i] :
( ( X1 = np__0 )
| ( k2_tarski(X0,np__0) = np__0 )
| ( k1_setfam_1(k3_tarski(k2_tarski(k2_tarski(X0,np__0),X1))) = k1_setfam_1(k2_tarski(k1_setfam_1(X1),np__0)) ) ),
inference(superposition,[status(thm)],[c_160609,c_56775]) ).
tcf(c_184804,plain,
! [X0: $i,X1: $i] :
( ( X1 = np__0 )
| ( k2_tarski(np__0,X0) = np__0 )
| ( k1_setfam_1(k3_tarski(k2_tarski(k2_tarski(np__0,X0),X1))) = k1_setfam_1(k2_tarski(k1_setfam_1(X1),np__0)) ) ),
inference(superposition,[status(thm)],[c_160608,c_56775]) ).
tcf(c_184805,plain,
! [X0: $i] :
( ( np__0 = k1_numbers )
| ( X0 = np__0 )
| ( k1_setfam_1(k2_tarski(k1_setfam_1(X0),np__0)) = k1_setfam_1(k3_tarski(k2_tarski(k1_numbers,X0))) ) ),
inference(superposition,[status(thm)],[c_183451,c_56775]) ).
tcf(c_184806,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2 = np__0 )
| ( X1 = np__0 )
| ( X0 = np__0 )
| ( k2_tarski(k1_setfam_1(X1),k1_setfam_1(X0)) = np__0 )
| ( k1_setfam_1(k2_tarski(k1_setfam_1(k3_tarski(k2_tarski(X0,X1))),k1_setfam_1(X2))) = k1_setfam_1(k3_tarski(k2_tarski(X2,k2_tarski(k1_setfam_1(X1),k1_setfam_1(X0))))) ) ),
inference(superposition,[status(thm)],[c_56775,c_56775]) ).
tcf(c_184807,plain,
! [X0: $i,X1: $i] :
( ( X1 = np__0 )
| ( X0 = np__0 )
| ~ r2_hidden(k3_tarski(k2_tarski(k1_setfam_1(X0),k1_setfam_1(X1))),k1_setfam_1(k3_tarski(k2_tarski(X1,X0)))) ),
inference(superposition,[status(thm)],[c_56775,c_167159]) ).
tcf(c_184808,plain,
! [X0: $i,X1: $i] :
( v3_ordinal1(k1_setfam_1(k3_tarski(k2_tarski(X1,X0))))
| ( X1 = np__0 )
| ( X0 = np__0 )
| ~ v1_xboole_0(k2_tarski(k1_setfam_1(X0),k1_setfam_1(X1))) ),
inference(superposition,[status(thm)],[c_56775,c_164422]) ).
tcf(c_184809,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k1_setfam_1(k3_tarski(k2_tarski(X1,X0))),k3_tarski(k2_tarski(k1_setfam_1(X0),k1_setfam_1(X1))))
| ( X1 = np__0 )
| ( X0 = np__0 ) ),
inference(superposition,[status(thm)],[c_56775,c_2542]) ).
tcf(c_184810,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2 = np__0 )
| ( X1 = np__0 )
| ( X0 = np__0 )
| ( k2_tarski(k1_setfam_1(X2),k1_setfam_1(X1)) = np__0 )
| ( k1_setfam_1(k2_tarski(k1_setfam_1(X0),k1_setfam_1(k3_tarski(k2_tarski(X1,X2))))) = k1_setfam_1(k3_tarski(k2_tarski(k2_tarski(k1_setfam_1(X2),k1_setfam_1(X1)),X0))) ) ),
inference(superposition,[status(thm)],[c_56775,c_56775]) ).
tcf(c_184811,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k1_setfam_1(k3_tarski(k2_tarski(X2,X1))),X0)
| ( X2 = np__0 )
| ( X1 = np__0 )
| ~ r2_hidden(X0,k2_tarski(k1_setfam_1(X1),k1_setfam_1(X2))) ),
inference(superposition,[status(thm)],[c_56775,c_2541]) ).
tcf(c_184812,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = np__0 )
| ( X0 = np__0 )
| ( k4_xboole_0(k1_setfam_1(k3_tarski(k2_tarski(X0,X1))),k1_setfam_1(k2_tarski(k1_setfam_1(X1),X2))) = k4_xboole_0(k1_setfam_1(k2_tarski(k1_setfam_1(X0),k1_setfam_1(X1))),X2) ) ),
inference(superposition,[status(thm)],[c_56775,c_182845]) ).
tcf(c_184813,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = np__0 )
| ( X0 = np__0 )
| ( k3_tarski(k2_tarski(k1_setfam_1(k3_tarski(k2_tarski(X0,X1))),k1_setfam_1(k2_tarski(X2,k1_setfam_1(X0))))) = k4_xboole_0(k1_setfam_1(X0),k4_xboole_0(k4_xboole_0(k1_setfam_1(X0),k1_setfam_1(X1)),X2)) ) ),
inference(superposition,[status(thm)],[c_56775,c_56414]) ).
tcf(c_184814,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = np__0 )
| ( X0 = np__0 )
| ( k5_xboole_0(k1_setfam_1(k3_tarski(k2_tarski(X0,X1))),k1_setfam_1(k2_tarski(k1_setfam_1(X1),X2))) = k1_setfam_1(k2_tarski(k1_setfam_1(X1),k5_xboole_0(k1_setfam_1(X0),X2))) ) ),
inference(superposition,[status(thm)],[c_56775,c_56168]) ).
tcf(c_184815,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = np__0 )
| ( X0 = np__0 )
| ( k4_xboole_0(k1_setfam_1(k3_tarski(k2_tarski(X0,X1))),k1_setfam_1(k2_tarski(X2,k1_setfam_1(X0)))) = k4_xboole_0(k1_setfam_1(k3_tarski(k2_tarski(X0,X1))),X2) ) ),
inference(superposition,[status(thm)],[c_56775,c_55176]) ).
tcf(c_184816,plain,
! [X0: $i,X1: $i] :
( r1_xboole_0(k1_setfam_1(k3_tarski(k2_tarski(X1,X0))),k5_xboole_0(k1_setfam_1(X0),k1_setfam_1(X1)))
| ( X1 = np__0 )
| ( X0 = np__0 ) ),
inference(superposition,[status(thm)],[c_56775,c_47705]) ).
tcf(c_184817,plain,
! [X0: $i,X1: $i] :
( ( X1 = np__0 )
| ( X0 = np__0 )
| ( k5_relat_1(k6_partfun1(k1_setfam_1(X0)),k6_partfun1(k1_setfam_1(X1))) = k6_partfun1(k1_setfam_1(k3_tarski(k2_tarski(X1,X0)))) ) ),
inference(superposition,[status(thm)],[c_56775,c_49266]) ).
tcf(c_184818,plain,
! [X0: $i,X1: $i] :
( ( X1 = np__0 )
| ( X0 = np__0 )
| ( k3_tarski(k2_tarski(k1_setfam_1(X0),k1_setfam_1(k3_tarski(k2_tarski(X1,X0))))) = k1_setfam_1(X0) ) ),
inference(superposition,[status(thm)],[c_56775,c_48096]) ).
tcf(c_184819,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k1_setfam_1(k3_tarski(k2_tarski(X1,X0))),k1_setfam_1(X1))
| ( X1 = np__0 )
| ( X0 = np__0 ) ),
inference(superposition,[status(thm)],[c_56775,c_162385]) ).
tcf(c_184820,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k1_setfam_1(k3_tarski(k2_tarski(X1,X0))),k1_setfam_1(X0))
| ( X1 = np__0 )
| ( X0 = np__0 ) ),
inference(superposition,[status(thm)],[c_56775,c_160602]) ).
tcf(c_184821,plain,
! [X0: $i] :
( ( X0 = np__0 )
| ( k1_setfam_1(k3_tarski(k2_tarski(X0,X0))) = k1_setfam_1(X0) ) ),
inference(superposition,[status(thm)],[c_56775,c_47410]) ).
tcf(c_184822,plain,
! [X0: $i,X1: $i] :
( v1_membered(k1_setfam_1(k3_tarski(k2_tarski(X0,X1))))
| ( X1 = np__0 )
| ( X0 = np__0 )
| ~ v1_membered(k1_setfam_1(X0)) ),
inference(superposition,[status(thm)],[c_56775,c_47722]) ).
tcf(c_184823,plain,
! [X0: $i,X1: $i] :
( v2_membered(k1_setfam_1(k3_tarski(k2_tarski(X0,X1))))
| ( X1 = np__0 )
| ( X0 = np__0 )
| ~ v2_membered(k1_setfam_1(X0)) ),
inference(superposition,[status(thm)],[c_56775,c_47721]) ).
tcf(c_184824,plain,
! [X0: $i,X1: $i] :
( v1_membered(k1_setfam_1(k3_tarski(k2_tarski(X0,X1))))
| ( X1 = np__0 )
| ( X0 = np__0 )
| ~ v2_membered(k1_setfam_1(X0)) ),
inference(superposition,[status(thm)],[c_56775,c_47720]) ).
tcf(c_184825,plain,
! [X0: $i,X1: $i] :
( v3_membered(k1_setfam_1(k3_tarski(k2_tarski(X0,X1))))
| ( X1 = np__0 )
| ( X0 = np__0 )
| ~ v3_membered(k1_setfam_1(X0)) ),
inference(superposition,[status(thm)],[c_56775,c_47719]) ).
tcf(c_184826,plain,
! [X0: $i,X1: $i] :
( v2_membered(k1_setfam_1(k3_tarski(k2_tarski(X0,X1))))
| ( X1 = np__0 )
| ( X0 = np__0 )
| ~ v3_membered(k1_setfam_1(X0)) ),
inference(superposition,[status(thm)],[c_56775,c_47718]) ).
tcf(c_184827,plain,
! [X0: $i,X1: $i] :
( v1_membered(k1_setfam_1(k3_tarski(k2_tarski(X0,X1))))
| ( X1 = np__0 )
| ( X0 = np__0 )
| ~ v3_membered(k1_setfam_1(X0)) ),
inference(superposition,[status(thm)],[c_56775,c_47717]) ).
tcf(c_184828,plain,
! [X0: $i,X1: $i] :
( v4_membered(k1_setfam_1(k3_tarski(k2_tarski(X0,X1))))
| ( X1 = np__0 )
| ( X0 = np__0 )
| ~ v4_membered(k1_setfam_1(X0)) ),
inference(superposition,[status(thm)],[c_56775,c_47716]) ).
tcf(c_184829,plain,
! [X0: $i,X1: $i] :
( v3_membered(k1_setfam_1(k3_tarski(k2_tarski(X0,X1))))
| ( X1 = np__0 )
| ( X0 = np__0 )
| ~ v4_membered(k1_setfam_1(X0)) ),
inference(superposition,[status(thm)],[c_56775,c_47715]) ).
tcf(c_184830,plain,
! [X0: $i,X1: $i] :
( v2_membered(k1_setfam_1(k3_tarski(k2_tarski(X0,X1))))
| ( X1 = np__0 )
| ( X0 = np__0 )
| ~ v4_membered(k1_setfam_1(X0)) ),
inference(superposition,[status(thm)],[c_56775,c_47714]) ).
tcf(c_184831,plain,
! [X0: $i,X1: $i] :
( v1_membered(k1_setfam_1(k3_tarski(k2_tarski(X0,X1))))
| ( X1 = np__0 )
| ( X0 = np__0 )
| ~ v4_membered(k1_setfam_1(X0)) ),
inference(superposition,[status(thm)],[c_56775,c_47713]) ).
tcf(c_184832,plain,
! [X0: $i,X1: $i] :
( v5_membered(k1_setfam_1(k3_tarski(k2_tarski(X0,X1))))
| ( X1 = np__0 )
| ( X0 = np__0 )
| ~ v5_membered(k1_setfam_1(X0)) ),
inference(superposition,[status(thm)],[c_56775,c_47712]) ).
tcf(c_184833,plain,
! [X0: $i,X1: $i] :
( v4_membered(k1_setfam_1(k3_tarski(k2_tarski(X0,X1))))
| ( X1 = np__0 )
| ( X0 = np__0 )
| ~ v5_membered(k1_setfam_1(X0)) ),
inference(superposition,[status(thm)],[c_56775,c_47711]) ).
tcf(c_184834,plain,
! [X0: $i,X1: $i] :
( v3_membered(k1_setfam_1(k3_tarski(k2_tarski(X0,X1))))
| ( X1 = np__0 )
| ( X0 = np__0 )
| ~ v5_membered(k1_setfam_1(X0)) ),
inference(superposition,[status(thm)],[c_56775,c_47710]) ).
tcf(c_184835,plain,
! [X0: $i,X1: $i] :
( v2_membered(k1_setfam_1(k3_tarski(k2_tarski(X0,X1))))
| ( X1 = np__0 )
| ( X0 = np__0 )
| ~ v5_membered(k1_setfam_1(X0)) ),
inference(superposition,[status(thm)],[c_56775,c_47709]) ).
tcf(c_184836,plain,
! [X0: $i,X1: $i] :
( v1_membered(k1_setfam_1(k3_tarski(k2_tarski(X0,X1))))
| ( X1 = np__0 )
| ( X0 = np__0 )
| ~ v5_membered(k1_setfam_1(X0)) ),
inference(superposition,[status(thm)],[c_56775,c_47708]) ).
tcf(c_184837,plain,
! [X0: $i,X1: $i] :
( v1_relat_1(k1_setfam_1(k3_tarski(k2_tarski(X0,X1))))
| ( X1 = np__0 )
| ( X0 = np__0 )
| ~ v1_relat_1(k1_setfam_1(X0)) ),
inference(superposition,[status(thm)],[c_56775,c_47707]) ).
tcf(c_184838,plain,
! [X0: $i,X1: $i] :
( ( X1 = np__0 )
| ( X0 = np__0 )
| ( k3_tarski(k2_tarski(k5_xboole_0(k1_setfam_1(X0),k1_setfam_1(X1)),k1_setfam_1(k3_tarski(k2_tarski(X0,X1))))) = k3_tarski(k2_tarski(k1_setfam_1(X0),k1_setfam_1(X1))) ) ),
inference(superposition,[status(thm)],[c_56775,c_51640]) ).
tcf(c_184839,plain,
! [X0: $i,X1: $i] :
( v1_finset_1(k1_setfam_1(k3_tarski(k2_tarski(X0,X1))))
| ( X1 = np__0 )
| ( X0 = np__0 )
| ~ v1_finset_1(k1_setfam_1(X0)) ),
inference(superposition,[status(thm)],[c_56775,c_47706]) ).
tcf(c_184840,plain,
! [X0: $i,X1: $i] :
( ( X1 = np__0 )
| ( X0 = np__0 )
| ( k4_xboole_0(k3_tarski(k2_tarski(k1_setfam_1(X0),k1_setfam_1(X1))),k1_setfam_1(k3_tarski(k2_tarski(X0,X1)))) = k5_xboole_0(k1_setfam_1(X0),k1_setfam_1(X1)) ) ),
inference(superposition,[status(thm)],[c_56775,c_51197]) ).
tcf(c_184841,plain,
! [X0: $i,X1: $i] :
( ( X1 = np__0 )
| ( X0 = np__0 )
| ( k5_xboole_0(k1_setfam_1(X0),k1_setfam_1(k3_tarski(k2_tarski(X0,X1)))) = k4_xboole_0(k1_setfam_1(X0),k1_setfam_1(X1)) ) ),
inference(superposition,[status(thm)],[c_56775,c_48956]) ).
tcf(c_184842,plain,
! [X0: $i,X1: $i] :
( ( X1 = np__0 )
| ( X0 = np__0 )
| ( k4_xboole_0(k1_setfam_1(X0),k1_setfam_1(k3_tarski(k2_tarski(X0,X1)))) = k4_xboole_0(k1_setfam_1(X0),k1_setfam_1(X1)) ) ),
inference(superposition,[status(thm)],[c_56775,c_48904]) ).
tcf(c_184843,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2 = np__0 )
| ( X1 = np__0 )
| ( k3_tarski(k2_tarski(k1_setfam_1(k2_tarski(X0,k1_setfam_1(X1))),k1_setfam_1(k3_tarski(k2_tarski(X1,X2))))) = k4_xboole_0(k1_setfam_1(X1),k4_xboole_0(k4_xboole_0(k1_setfam_1(X1),X0),k1_setfam_1(X2))) ) ),
inference(superposition,[status(thm)],[c_56775,c_56414]) ).
tcf(c_184844,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2 = np__0 )
| ( X1 = np__0 )
| ( k4_xboole_0(k1_setfam_1(k2_tarski(X0,k1_setfam_1(X1))),k1_setfam_1(k3_tarski(k2_tarski(X1,X2)))) = k4_xboole_0(k1_setfam_1(k2_tarski(X0,k1_setfam_1(X1))),k1_setfam_1(X2)) ) ),
inference(superposition,[status(thm)],[c_56775,c_55176]) ).
tcf(c_184845,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2 = np__0 )
| ( X0 = np__0 )
| ( k4_xboole_0(k1_setfam_1(k2_tarski(k1_setfam_1(X0),X1)),k1_setfam_1(k3_tarski(k2_tarski(X2,X0)))) = k4_xboole_0(k1_setfam_1(k2_tarski(X1,k1_setfam_1(X0))),k1_setfam_1(X2)) ) ),
inference(superposition,[status(thm)],[c_56775,c_182845]) ).
tcf(c_184846,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2 = np__0 )
| ( X0 = np__0 )
| ( k5_xboole_0(k1_setfam_1(k2_tarski(k1_setfam_1(X0),X1)),k1_setfam_1(k3_tarski(k2_tarski(X2,X0)))) = k1_setfam_1(k2_tarski(k1_setfam_1(X0),k5_xboole_0(X1,k1_setfam_1(X2)))) ) ),
inference(superposition,[status(thm)],[c_56775,c_56168]) ).
tcf(c_184847,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2 = np__0 )
| ( X0 = np__0 )
| ( k3_tarski(k2_tarski(k4_xboole_0(k1_setfam_1(X0),X1),k1_setfam_1(k3_tarski(k2_tarski(X0,X2))))) = k4_xboole_0(k1_setfam_1(X0),k4_xboole_0(X1,k1_setfam_1(X2))) ) ),
inference(superposition,[status(thm)],[c_56775,c_52807]) ).
tcf(c_184960,plain,
! [X0: $i,X1: $i] :
( ( X1 = np__0 )
| ( k1_setfam_1(k3_tarski(k2_tarski(k2_tarski(np__0,X0),X1))) = k1_setfam_1(k2_tarski(k1_setfam_1(X1),np__0)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_184804,c_161595]) ).
tcf(c_184963,plain,
! [X0: $i,X1: $i] :
( ( X1 = np__0 )
| ( k1_setfam_1(k3_tarski(k2_tarski(k2_tarski(X0,np__0),X1))) = k1_setfam_1(k2_tarski(k1_setfam_1(X1),np__0)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_184803,c_161595]) ).
tcf(c_184966,plain,
! [X0: $i,X1: $i] :
( ( X1 = np__0 )
| ( k1_setfam_1(k3_tarski(k2_tarski(k2_tarski(X0,X0),X1))) = k1_setfam_1(k2_tarski(k1_setfam_1(X1),X0)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_184798,c_161595]) ).
tcf(c_184969,plain,
! [X0: $i,X1: $i] :
( ( X0 = np__0 )
| ( k1_setfam_1(k3_tarski(k2_tarski(X0,k2_tarski(np__0,X1)))) = k1_setfam_1(k2_tarski(np__0,k1_setfam_1(X0))) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_184795,c_161595]) ).
tcf(c_184972,plain,
! [X0: $i,X1: $i] :
( ( X0 = np__0 )
| ( k1_setfam_1(k3_tarski(k2_tarski(X0,k2_tarski(X1,np__0)))) = k1_setfam_1(k2_tarski(np__0,k1_setfam_1(X0))) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_184794,c_161595]) ).
tcf(c_184975,plain,
! [X0: $i,X1: $i] :
( ( X0 = np__0 )
| ( k1_setfam_1(k3_tarski(k2_tarski(X0,k2_tarski(X1,X1)))) = k1_setfam_1(k2_tarski(X1,k1_setfam_1(X0))) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_184789,c_161595]) ).
tcf(c_184978,plain,
! [X0: $i,X1: $i] :
( ( X0 = np__0 )
| ( k1_setfam_1(X0) = X1 )
| ( k1_setfam_1(k4_xboole_0(k2_tarski(k1_setfam_1(X0),X1),k2_tarski(X1,X1))) = k1_setfam_1(X0) ) ),
inference(light_normalisation,[status(thm)],[c_184785,c_502]) ).
tcf(c_185015,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = np__0 )
| ( k1_setfam_1(k2_tarski(k1_setfam_1(X0),k5_finsub_1(k1_setfam_1(k2_tarski(X1,X2))))) = k1_setfam_1(k3_tarski(k2_tarski(k2_tarski(k5_finsub_1(X1),k5_finsub_1(X2)),X0))) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_184801,c_161595]) ).
tcf(c_185018,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = np__0 )
| ( k1_setfam_1(k2_tarski(k1_setfam_1(X0),k1_zfmisc_1(k1_setfam_1(k2_tarski(X1,X2))))) = k1_setfam_1(k3_tarski(k2_tarski(k2_tarski(k1_zfmisc_1(X1),k1_zfmisc_1(X2)),X0))) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_184800,c_161595]) ).
tcf(c_185021,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2 = np__0 )
| ( k1_setfam_1(k2_tarski(k5_finsub_1(k1_setfam_1(k2_tarski(X0,X1))),k1_setfam_1(X2))) = k1_setfam_1(k3_tarski(k2_tarski(X2,k2_tarski(k5_finsub_1(X0),k5_finsub_1(X1))))) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_184792,c_161595]) ).
tcf(c_185024,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2 = np__0 )
| ( k1_setfam_1(k2_tarski(k1_zfmisc_1(k1_setfam_1(k2_tarski(X0,X1))),k1_setfam_1(X2))) = k1_setfam_1(k3_tarski(k2_tarski(X2,k2_tarski(k1_zfmisc_1(X0),k1_zfmisc_1(X1))))) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_184791,c_161595]) ).
tcf(c_185027,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X0 = np__0 )
| ( k1_setfam_1(k2_tarski(k1_setfam_1(X0),k4_xboole_0(k1_setfam_1(k2_tarski(X1,X2)),X3))) = k1_setfam_1(k3_tarski(k2_tarski(k2_tarski(k4_xboole_0(X1,X3),X2),X0))) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_184799,c_161595]) ).
tcf(c_185030,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X3 = np__0 )
| ( k1_setfam_1(k2_tarski(k4_xboole_0(k1_setfam_1(k2_tarski(X0,X1)),X2),k1_setfam_1(X3))) = k1_setfam_1(k3_tarski(k2_tarski(X3,k2_tarski(k4_xboole_0(X0,X2),X1)))) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_184790,c_161595]) ).
tcf(c_185033,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2 = np__0 )
| ( X1 = np__0 )
| ( X0 = np__0 )
| ( k1_setfam_1(k2_tarski(k1_setfam_1(X0),k1_setfam_1(k3_tarski(k2_tarski(X1,X2))))) = k1_setfam_1(k3_tarski(k2_tarski(k2_tarski(k1_setfam_1(X2),k1_setfam_1(X1)),X0))) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_184810,c_161595]) ).
tcf(c_185038,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2 = np__0 )
| ( X1 = np__0 )
| ( X0 = np__0 )
| ( k1_setfam_1(k2_tarski(k1_setfam_1(k3_tarski(k2_tarski(X0,X1))),k1_setfam_1(X2))) = k1_setfam_1(k3_tarski(k2_tarski(X2,k2_tarski(k1_setfam_1(X1),k1_setfam_1(X0))))) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_184806,c_161595]) ).
tcf(c_185101,plain,
! [X0: $i,X1: $i] :
( ( X0 = np__0 )
| ( k8_relat_1(np__0,sK46(X0,X1)) = np__0 ) ),
inference(superposition,[status(thm)],[c_100,c_3295]) ).
tcf(c_185102,plain,
k8_relat_1(np__0,sK84) = np__0,
inference(superposition,[status(thm)],[c_579,c_3295]) ).
tcf(c_185103,plain,
k8_relat_1(np__0,np__0) = np__0,
inference(superposition,[status(thm)],[c_3339,c_3295]) ).
tcf(c_185104,plain,
! [X0: $i,X1: $i] : k8_relat_1(np__0,k2_zfmisc_1(X0,X1)) = np__0,
inference(superposition,[status(thm)],[c_613,c_3295]) ).
tcf(c_185105,plain,
! [X0: $i] :
( ( X0 = np__0 )
| ( k8_relat_1(np__0,sK112(X0)) = np__0 ) ),
inference(superposition,[status(thm)],[c_690,c_3295]) ).
tcf(c_185106,plain,
! [X0: $i] :
( ( X0 = np__0 )
| ( k8_relat_1(np__0,sK111(X0)) = np__0 ) ),
inference(superposition,[status(thm)],[c_692,c_3295]) ).
tcf(c_185107,plain,
! [X0: $i,X1: $i] :
( ( X0 = np__0 )
| ( k8_relat_1(np__0,sK115(X0,X1)) = np__0 ) ),
inference(superposition,[status(thm)],[c_720,c_3295]) ).
tcf(c_185108,plain,
! [X0: $i] :
( ( k8_relat_1(np__0,k2_relat_1(X0)) = np__0 )
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_745,c_3295]) ).
tcf(c_185109,plain,
k8_relat_1(np__0,sK121) = np__0,
inference(superposition,[status(thm)],[c_747,c_3295]) ).
tcf(c_185110,plain,
! [X0: $i] :
( ( k8_relat_1(np__0,k1_relat_1(X0)) = np__0 )
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_751,c_3295]) ).
tcf(c_185111,plain,
! [X0: $i,X1: $i] :
( ( k8_relat_1(np__0,k1_realset1(X0,X1)) = np__0 )
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_1004,c_3295]) ).
tcf(c_185112,plain,
k8_relat_1(np__0,sK261) = np__0,
inference(superposition,[status(thm)],[c_1665,c_3295]) ).
tcf(c_185113,plain,
! [X0: $i,X1: $i] :
( ( k8_relat_1(np__0,k4_xboole_0(X0,X1)) = np__0 )
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_1711,c_3295]) ).
tcf(c_185114,plain,
! [X0: $i,X1: $i] :
( ( k8_relat_1(np__0,k7_relat_1(X0,X1)) = np__0 )
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_2035,c_3295]) ).
tcf(c_185115,plain,
! [X0: $i,X1: $i] : k8_relat_1(np__0,sK333(X0,X1)) = np__0,
inference(superposition,[status(thm)],[c_2114,c_3295]) ).
tcf(c_185116,plain,
! [X0: $i,X1: $i] : k8_relat_1(np__0,sK334(X0,X1)) = np__0,
inference(superposition,[status(thm)],[c_2118,c_3295]) ).
tcf(c_185117,plain,
! [X0: $i] : k8_relat_1(np__0,k6_partfun1(X0)) = np__0,
inference(superposition,[status(thm)],[c_2184,c_3295]) ).
tcf(c_185120,plain,
k8_relat_1(np__0,sK448) = np__0,
inference(superposition,[status(thm)],[c_2875,c_3295]) ).
tcf(c_185121,plain,
! [X0: $i,X1: $i] :
( ( k8_relat_1(np__0,k8_relat_1(X1,X0)) = np__0 )
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_3291,c_3295]) ).
tcf(c_185122,plain,
! [X0: $i] :
( ( k8_relat_1(np__0,sK522(X0)) = np__0 )
| ~ v1_finset_1(X0) ),
inference(superposition,[status(thm)],[c_3331,c_3295]) ).
tcf(c_185123,plain,
k8_relat_1(np__0,sK523) = np__0,
inference(superposition,[status(thm)],[c_3343,c_3295]) ).
tcf(c_185124,plain,
! [X0: $i] : k8_relat_1(np__0,sK524(X0)) = np__0,
inference(superposition,[status(thm)],[c_3348,c_3295]) ).
tcf(c_185125,plain,
k8_relat_1(np__0,sK525) = np__0,
inference(superposition,[status(thm)],[c_3353,c_3295]) ).
tcf(c_185126,plain,
! [X0: $i] :
( ( k8_relat_1(np__0,k4_relat_1(X0)) = np__0 )
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_3389,c_3295]) ).
tcf(c_185127,plain,
! [X0: $i] :
( ( k8_relat_1(np__0,k4_relat_1(X0)) = np__0 )
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_3373,c_3295]) ).
tcf(c_185128,plain,
! [X0: $i,X1: $i] :
( ( k8_relat_1(np__0,sK569(X0,X1)) = np__0 )
| ~ sP37(X0,X1) ),
inference(superposition,[status(thm)],[c_3727,c_3295]) ).
tcf(c_185129,plain,
! [X0: $i,X1: $i] :
( ( k8_relat_1(np__0,k1_setfam_1(k2_tarski(X1,X0))) = np__0 )
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_47707,c_3295]) ).
tcf(c_185130,plain,
! [X0: $i] :
( ( k8_relat_1(np__0,k1_pre_topc(X0)) = np__0 )
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_160937,c_3295]) ).
tcf(c_185131,plain,
! [X0: $i] :
( ( k8_relat_1(np__0,k1_pre_topc(X0)) = np__0 )
| ~ l1_struct_0(X0) ),
inference(superposition,[status(thm)],[c_159838,c_3295]) ).
tcf(c_185132,plain,
( ( k8_relat_1(np__0,k1_tops_1(sK39,np__0)) = np__0 )
| ~ l1_pre_topc(sK39) ),
inference(superposition,[status(thm)],[c_167019,c_3295]) ).
tcf(c_185133,plain,
! [X0: $i,X1: $i] : k8_relat_1(np__0,k5_relat_1(k6_partfun1(X0),k6_partfun1(X1))) = np__0,
inference(superposition,[status(thm)],[c_169449,c_3295]) ).
tcf(c_185134,plain,
! [X0: $i,X1: $i] : k8_relat_1(np__0,sK52(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))) = np__0,
inference(superposition,[status(thm)],[c_174550,c_3295]) ).
tcf(c_185135,plain,
( ( k8_relat_1(np__0,sK92(k1_zfmisc_1(u1_struct_0(sK39)))) = np__0 )
| ~ v1_relat_1(u1_struct_0(sK39)) ),
inference(superposition,[status(thm)],[c_174649,c_3295]) ).
tcf(c_185250,plain,
! [X0: $i] :
( r1_tarski(k2_relat_1(np__0),X0)
| ~ v1_relat_1(np__0) ),
inference(superposition,[status(thm)],[c_3294,c_3315]) ).
tcf(c_185251,plain,
! [X0: $i,X1: $i] :
( v1_finset_1(k2_relat_1(k8_relat_1(X1,X0)))
| ~ v1_finset_1(X1)
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_3315,c_1686]) ).
tcf(c_185252,plain,
! [X0: $i,X1: $i] :
( v1_membered(k2_relat_1(k8_relat_1(X1,X0)))
| ~ v1_membered(X1)
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_3315,c_1573]) ).
tcf(c_185253,plain,
! [X0: $i,X1: $i] :
( v2_membered(k2_relat_1(k8_relat_1(X1,X0)))
| ~ v2_membered(X1)
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_3315,c_1527]) ).
tcf(c_185254,plain,
! [X0: $i,X1: $i] :
( v3_membered(k2_relat_1(k8_relat_1(X1,X0)))
| ~ v3_membered(X1)
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_3315,c_1484]) ).
tcf(c_185255,plain,
! [X0: $i,X1: $i] :
( v4_membered(k2_relat_1(k8_relat_1(X1,X0)))
| ~ v4_membered(X1)
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_3315,c_1427]) ).
tcf(c_185256,plain,
! [X0: $i,X1: $i] :
( v5_membered(k2_relat_1(k8_relat_1(X1,X0)))
| ~ v5_membered(X1)
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_3315,c_1335]) ).
tcf(c_185257,plain,
! [X0: $i,X1: $i] :
( v1_relat_1(k2_relat_1(k8_relat_1(X1,X0)))
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_3315,c_539]) ).
tcf(c_185258,plain,
! [X0: $i,X1: $i] :
( ~ v1_relat_1(X1)
| ~ r2_hidden(X0,k2_relat_1(k8_relat_1(X0,X1))) ),
inference(superposition,[status(thm)],[c_3315,c_538]) ).
tcf(c_185259,plain,
! [X0: $i] :
( ( k2_relat_1(k8_relat_1(np__0,X0)) = np__0 )
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_3315,c_564]) ).
tcf(c_185260,plain,
! [X0: $i] :
( v1_membered(k2_relat_1(k8_relat_1(k5_numbers,X0)))
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_3315,c_167221]) ).
tcf(c_185261,plain,
! [X0: $i] :
( v2_membered(k2_relat_1(k8_relat_1(k5_numbers,X0)))
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_3315,c_167220]) ).
tcf(c_185262,plain,
! [X0: $i] :
( v3_membered(k2_relat_1(k8_relat_1(k5_numbers,X0)))
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_3315,c_167219]) ).
tcf(c_185263,plain,
! [X0: $i] :
( v4_membered(k2_relat_1(k8_relat_1(k5_numbers,X0)))
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_3315,c_167218]) ).
tcf(c_185264,plain,
! [X0: $i] :
( v5_membered(k2_relat_1(k8_relat_1(k5_numbers,X0)))
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_3315,c_167217]) ).
tcf(c_185265,plain,
! [X0: $i] :
( v1_membered(k2_relat_1(k8_relat_1(k4_numbers,X0)))
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_3315,c_167225]) ).
tcf(c_185266,plain,
! [X0: $i] :
( v2_membered(k2_relat_1(k8_relat_1(k4_numbers,X0)))
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_3315,c_167224]) ).
tcf(c_185267,plain,
! [X0: $i] :
( v3_membered(k2_relat_1(k8_relat_1(k4_numbers,X0)))
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_3315,c_167223]) ).
tcf(c_185268,plain,
! [X0: $i] :
( v4_membered(k2_relat_1(k8_relat_1(k4_numbers,X0)))
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_3315,c_167222]) ).
tcf(c_185269,plain,
! [X0: $i] :
( v1_membered(k2_relat_1(k8_relat_1(k3_numbers,X0)))
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_3315,c_167228]) ).
tcf(c_185270,plain,
! [X0: $i] :
( v2_membered(k2_relat_1(k8_relat_1(k3_numbers,X0)))
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_3315,c_167227]) ).
tcf(c_185271,plain,
! [X0: $i] :
( v3_membered(k2_relat_1(k8_relat_1(k3_numbers,X0)))
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_3315,c_167226]) ).
tcf(c_185272,plain,
! [X0: $i] :
( v1_membered(k2_relat_1(k8_relat_1(k1_numbers,X0)))
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_3315,c_167230]) ).
tcf(c_185273,plain,
! [X0: $i] :
( v2_membered(k2_relat_1(k8_relat_1(k1_numbers,X0)))
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_3315,c_167229]) ).
tcf(c_185274,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_xboole_0(k2_relat_1(k8_relat_1(k4_xboole_0(X1,X2),X0)),X2)
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_3315,c_2437]) ).
tcf(c_185275,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k2_relat_1(k8_relat_1(k4_xboole_0(X1,X2),X0)),X1)
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_3315,c_2436]) ).
tcf(c_185276,plain,
! [X0: $i] :
( v1_membered(k2_relat_1(k8_relat_1(k2_numbers,X0)))
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_3315,c_167231]) ).
tcf(c_185367,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| ( k2_relat_1(sK522(sK255(X0))) = sK255(X0) ) ),
inference(superposition,[status(thm)],[c_1635,c_3334]) ).
tcf(c_185368,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| ( k2_relat_1(sK522(sK258(X0))) = sK258(X0) ) ),
inference(superposition,[status(thm)],[c_1644,c_3334]) ).
tcf(c_185369,plain,
! [X0: $i] :
( ( k2_relat_1(sK522(k1_card_1(X0))) = k1_card_1(X0) )
| ~ v1_finset_1(X0) ),
inference(superposition,[status(thm)],[c_1661,c_3334]) ).
tcf(c_185370,plain,
! [X0: $i] :
( ( k2_relat_1(sK522(k1_relat_1(X0))) = k1_relat_1(X0) )
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_159956,c_3334]) ).
tcf(c_185371,plain,
! [X0: $i] :
( ( k2_relat_1(sK522(k2_relat_1(X0))) = k2_relat_1(X0) )
| ~ v1_finset_1(X0)
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_1663,c_3334]) ).
tcf(c_185372,plain,
! [X0: $i] :
( ( k2_relat_1(sK522(k2_relat_1(X0))) = k2_relat_1(X0) )
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_159904,c_3334]) ).
tcf(c_185373,plain,
k2_relat_1(sK522(sK261)) = sK261,
inference(superposition,[status(thm)],[c_1667,c_3334]) ).
tcf(c_185374,plain,
! [X0: $i] :
( ( k2_relat_1(sK522(k1_zfmisc_1(X0))) = k1_zfmisc_1(X0) )
| ~ v1_finset_1(X0) ),
inference(superposition,[status(thm)],[c_1679,c_3334]) ).
tcf(c_185375,plain,
! [X0: $i,X1: $i] :
( ( k2_relat_1(sK522(k4_xboole_0(X0,X1))) = k4_xboole_0(X0,X1) )
| ~ v1_finset_1(X0) ),
inference(superposition,[status(thm)],[c_1691,c_3334]) ).
tcf(c_185376,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| ( k2_relat_1(sK522(sK264(X0))) = sK264(X0) ) ),
inference(superposition,[status(thm)],[c_1689,c_3334]) ).
tcf(c_185377,plain,
! [X0: $i,X1: $i] : k2_relat_1(sK522(k2_tarski(X0,X1))) = k2_tarski(X0,X1),
inference(superposition,[status(thm)],[c_1694,c_3334]) ).
tcf(c_185378,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| ( k2_relat_1(sK522(sK265(X0))) = sK265(X0) ) ),
inference(superposition,[status(thm)],[c_1697,c_3334]) ).
tcf(c_185379,plain,
k2_relat_1(sK522(sK266)) = sK266,
inference(superposition,[status(thm)],[c_1702,c_3334]) ).
tcf(c_185380,plain,
! [X0: $i] :
( ( k2_relat_1(sK522(u1_struct_0(X0))) = u1_struct_0(X0) )
| ~ v6_group_1(X0)
| ~ l1_struct_0(X0) ),
inference(superposition,[status(thm)],[c_1839,c_3334]) ).
tcf(c_185381,plain,
k2_relat_1(sK522(sK523)) = sK523,
inference(superposition,[status(thm)],[c_3345,c_3334]) ).
tcf(c_185382,plain,
! [X0: $i] : k2_relat_1(sK522(sK524(X0))) = sK524(X0),
inference(superposition,[status(thm)],[c_3350,c_3334]) ).
tcf(c_185383,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : k2_relat_1(sK522(k2_enumset1(X0,X1,X2,X3))) = k2_enumset1(X0,X1,X2,X3),
inference(superposition,[status(thm)],[c_3607,c_3334]) ).
tcf(c_185384,plain,
k2_relat_1(sK522(np__0)) = np__0,
inference(superposition,[status(thm)],[c_159531,c_3334]) ).
tcf(c_185385,plain,
k2_relat_1(sK522(k1_zfmisc_1(np__0))) = k1_zfmisc_1(np__0),
inference(superposition,[status(thm)],[c_165489,c_3334]) ).
tcf(c_185386,plain,
! [X0: $i,X1: $i] :
( ( k2_relat_1(sK522(k1_setfam_1(k2_tarski(X1,X0)))) = k1_setfam_1(k2_tarski(X1,X0)) )
| ~ v1_finset_1(X0) ),
inference(superposition,[status(thm)],[c_47706,c_3334]) ).
tcf(c_185387,plain,
! [X0: $i] :
( ( k2_relat_1(sK522(k1_pre_topc(X0))) = k1_pre_topc(X0) )
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_160931,c_3334]) ).
tcf(c_185388,plain,
! [X0: $i] :
( ( k2_relat_1(sK522(k1_pre_topc(X0))) = k1_pre_topc(X0) )
| ~ l1_struct_0(X0) ),
inference(superposition,[status(thm)],[c_159832,c_3334]) ).
tcf(c_185389,plain,
! [X0: $i] :
( ( k2_relat_1(sK522(k4_relat_1(X0))) = k4_relat_1(X0) )
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_160745,c_3334]) ).
tcf(c_185390,plain,
! [X0: $i] : k2_relat_1(sK522(sK52(k5_finsub_1(X0)))) = sK52(k5_finsub_1(X0)),
inference(superposition,[status(thm)],[c_163691,c_3334]) ).
tcf(c_185391,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| ( k2_relat_1(sK522(sK256(X0))) = sK256(X0) ) ),
inference(superposition,[status(thm)],[c_163693,c_3334]) ).
tcf(c_185392,plain,
k2_relat_1(sK522(k1_card_1(k1_zfmisc_1(np__0)))) = k1_card_1(k1_zfmisc_1(np__0)),
inference(superposition,[status(thm)],[c_169854,c_3334]) ).
tcf(c_185393,plain,
( ( k2_relat_1(sK522(k1_tops_1(sK39,np__0))) = k1_tops_1(sK39,np__0) )
| ~ l1_pre_topc(sK39) ),
inference(superposition,[status(thm)],[c_167013,c_3334]) ).
tcf(c_185394,plain,
! [X0: $i] :
( ( k2_relat_1(sK522(sK260(X0))) = sK260(X0) )
| ~ v1_finset_1(X0) ),
inference(superposition,[status(thm)],[c_168444,c_3334]) ).
tcf(c_185395,plain,
! [X0: $i] :
( ( k2_relat_1(sK522(sK421(X0))) = sK421(X0) )
| ~ v1_finset_1(X0) ),
inference(superposition,[status(thm)],[c_170344,c_3334]) ).
tcf(c_185396,plain,
! [X0: $i] : k2_relat_1(sK522(k1_zfmisc_1(k2_tarski(X0,X0)))) = k1_zfmisc_1(k2_tarski(X0,X0)),
inference(superposition,[status(thm)],[c_170453,c_3334]) ).
tcf(c_185397,plain,
k2_relat_1(sK522(k1_zfmisc_1(k1_zfmisc_1(np__0)))) = k1_zfmisc_1(k1_zfmisc_1(np__0)),
inference(superposition,[status(thm)],[c_170575,c_3334]) ).
tcf(c_185398,plain,
! [X0: $i] :
( ( k2_relat_1(sK522(sK561(X0))) = sK561(X0) )
| ~ v1_finset_1(X0) ),
inference(superposition,[status(thm)],[c_170744,c_3334]) ).
tcf(c_185399,plain,
( ( k2_relat_1(sK522(sK92(k1_zfmisc_1(u1_struct_0(sK39))))) = sK92(k1_zfmisc_1(u1_struct_0(sK39))) )
| ~ v1_finset_1(u1_struct_0(sK39)) ),
inference(superposition,[status(thm)],[c_178921,c_3334]) ).
fof(f9209,definition,
! [X1,X0,X2] :
( sP0(X1,X0,X2)
<=> ? [X3] :
( ? [X4] :
( X2 = g3_lattices(X1,X3,X4)
& X4 = k1_realset1(u1_lattices(X0),X1)
& X3 = k1_realset1(u2_lattices(X0),X1)
& m2_relset_1(X4,k2_zfmisc_1(X1,X1),X1)
& v1_funct_2(X4,k2_zfmisc_1(X1,X1),X1)
& v1_funct_1(X4) )
& m2_relset_1(X3,k2_zfmisc_1(X1,X1),X1)
& v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
& v1_funct_1(X3) ) ),
introduced(definition,[new_symbols(definition,[sP0])],[predicate_definition_introduction]) ).
fof(f9210,definition,
! [X2,X0,X1] :
( ~ sP1(X2,X0,X1)
| ( X2 = k8_filter_0(X0,X1)
<=> sP0(X1,X0,X2) ) ),
introduced(definition,[new_symbols(definition,[sP1])],[predicate_definition_introduction]) ).
fof(f9211,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_filter_0(X1,X0)
| ! [X2] :
( ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| v3_struct_0(X2)
| sP1(X2,X0,X1) ) ) ),
inference(definition_folding,[],[f6651,f9210,f9209]) ).
fof(f9212,definition,
! [X1,X0] :
( ~ sP2(X1,X0)
| ( v10_lattices(k8_filter_0(X0,X1))
& v9_lattices(k8_filter_0(X0,X1))
& v8_lattices(k8_filter_0(X0,X1))
& v7_lattices(k8_filter_0(X0,X1))
& v6_lattices(k8_filter_0(X0,X1))
& v5_lattices(k8_filter_0(X0,X1))
& v4_lattices(k8_filter_0(X0,X1))
& v3_lattices(k8_filter_0(X0,X1))
& ~ v3_struct_0(k8_filter_0(X0,X1)) ) ),
introduced(definition,[new_symbols(definition,[sP2])],[predicate_definition_introduction]) ).
fof(f9213,plain,
! [X0,X1] :
( ~ m1_filter_0(X1,X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| sP2(X1,X0) ),
inference(definition_folding,[],[f6653,f9212]) ).
fof(f9214,definition,
! [X0,X1] :
( sP3(X0,X1)
<=> ( l3_lattices(X1)
& v17_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1)
& l3_lattices(X0)
& v17_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) ) ),
introduced(definition,[new_symbols(definition,[sP3])],[predicate_definition_introduction]) ).
fof(f9215,definition,
! [X1,X0] :
( ~ sP4(X1,X0)
| ( sP3(X0,X1)
<=> ( l3_lattices(k8_filter_1(X0,X1))
& v17_lattices(k8_filter_1(X0,X1))
& v10_lattices(k8_filter_1(X0,X1))
& ~ v3_struct_0(k8_filter_1(X0,X1)) ) ) ),
introduced(definition,[new_symbols(definition,[sP4])],[predicate_definition_introduction]) ).
fof(f9216,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| sP4(X1,X0) ) ),
inference(definition_folding,[],[f6673,f9215,f9214]) ).
fof(f9217,definition,
! [X0,X1] :
( sP5(X0,X1)
<=> ( l3_lattices(X1)
& v11_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1)
& l3_lattices(X0)
& v11_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) ) ),
introduced(definition,[new_symbols(definition,[sP5])],[predicate_definition_introduction]) ).
fof(f9218,definition,
! [X1,X0] :
( ~ sP6(X1,X0)
| ( sP5(X0,X1)
<=> ( l3_lattices(k8_filter_1(X0,X1))
& v11_lattices(k8_filter_1(X0,X1))
& v10_lattices(k8_filter_1(X0,X1))
& ~ v3_struct_0(k8_filter_1(X0,X1)) ) ) ),
introduced(definition,[new_symbols(definition,[sP6])],[predicate_definition_introduction]) ).
fof(f9219,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| sP6(X1,X0) ) ),
inference(definition_folding,[],[f6681,f9218,f9217]) ).
fof(f9220,definition,
! [X1,X0] :
( ~ sP7(X1,X0)
| ( v10_lattices(k8_filter_1(X0,X1))
& v9_lattices(k8_filter_1(X0,X1))
& v8_lattices(k8_filter_1(X0,X1))
& v7_lattices(k8_filter_1(X0,X1))
& v6_lattices(k8_filter_1(X0,X1))
& v5_lattices(k8_filter_1(X0,X1))
& v4_lattices(k8_filter_1(X0,X1))
& v3_lattices(k8_filter_1(X0,X1))
& ~ v3_struct_0(k8_filter_1(X0,X1)) ) ),
introduced(definition,[new_symbols(definition,[sP7])],[predicate_definition_introduction]) ).
fof(f9221,plain,
! [X0,X1] :
( ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| sP7(X1,X0) ),
inference(definition_folding,[],[f6685,f9220]) ).
fof(f9222,definition,
! [X1,X0] :
( sP8(X1,X0)
<=> ! [X4] :
( ~ m1_subset_1(X4,u1_struct_0(X0))
| ! [X5] :
( ~ m1_subset_1(X5,u1_struct_0(X0))
| ~ r3_lattices(X0,X4,X5)
| ~ r2_hidden(X4,X1)
| r2_hidden(X5,X1) ) ) ),
introduced(definition,[new_symbols(definition,[sP8])],[predicate_definition_introduction]) ).
fof(f9223,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v1_xboole_0(X1)
| ( m1_filter_0(X1,X0)
<=> ( sP8(X1,X0)
& ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| ! [X3] :
( ~ m1_subset_1(X3,u1_struct_0(X0))
| ~ r2_hidden(X3,X1)
| ~ r2_hidden(X2,X1)
| r2_hidden(k4_lattices(X0,X2,X3),X1) ) ) ) ) ) ),
inference(definition_folding,[],[f6788,f9222]) ).
fof(f9224,definition,
! [X0] :
( ~ sP9(X0)
| ? [X4,X5,X6] :
( r2_hidden(k4_tarski(X4,X6),X0)
& r2_hidden(k4_tarski(X4,X5),X0)
& X5 != X6 ) ),
introduced(definition,[new_symbols(definition,[sP9])],[predicate_definition_introduction]) ).
fof(f9225,plain,
! [X0] :
( sP9(X0)
| ? [X1] :
( ! [X2,X3] : k4_tarski(X2,X3) != X1
& r2_hidden(X1,X0) )
| ( v1_funct_1(X0)
& v1_relat_1(X0) ) ),
inference(definition_folding,[],[f7019,f9224]) ).
fof(f9226,definition,
! [X0,X1] :
( sP10(X0,X1)
<=> ( l3_lattices(X1)
& v16_lattices(X1)
& v15_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1)
& l3_lattices(X0)
& v16_lattices(X0)
& v15_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) ) ),
introduced(definition,[new_symbols(definition,[sP10])],[predicate_definition_introduction]) ).
fof(f9227,definition,
! [X1,X0] :
( ~ sP11(X1,X0)
| ( sP10(X0,X1)
<=> ( l3_lattices(k8_filter_1(X0,X1))
& v16_lattices(k8_filter_1(X0,X1))
& v15_lattices(k8_filter_1(X0,X1))
& v10_lattices(k8_filter_1(X0,X1))
& ~ v3_struct_0(k8_filter_1(X0,X1)) ) ) ),
introduced(definition,[new_symbols(definition,[sP11])],[predicate_definition_introduction]) ).
fof(f9228,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| sP11(X1,X0) ) ),
inference(definition_folding,[],[f7086,f9227,f9226]) ).
fof(f9229,definition,
! [X0] :
( ~ sP12(X0)
| ( v15_lattices(X0)
& v14_lattices(X0)
& v13_lattices(X0)
& v10_lattices(X0)
& v9_lattices(X0)
& v8_lattices(X0)
& v7_lattices(X0)
& v6_lattices(X0)
& v5_lattices(X0)
& v4_lattices(X0)
& ~ v3_struct_0(X0) ) ),
introduced(definition,[new_symbols(definition,[sP12])],[predicate_definition_introduction]) ).
fof(f9230,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| ~ v6_group_1(X0)
| v3_struct_0(X0)
| sP12(X0) ),
inference(definition_folding,[],[f7088,f9229]) ).
fof(f9231,definition,
! [X0] :
( ~ sP13(X0)
| ( v10_lattices(k1_lattice2(X0))
& v9_lattices(k1_lattice2(X0))
& v8_lattices(k1_lattice2(X0))
& v7_lattices(k1_lattice2(X0))
& v6_lattices(k1_lattice2(X0))
& v5_lattices(k1_lattice2(X0))
& v4_lattices(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0))
& ~ v3_struct_0(k1_lattice2(X0)) ) ),
introduced(definition,[new_symbols(definition,[sP13])],[predicate_definition_introduction]) ).
fof(f9232,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| sP13(X0) ),
inference(definition_folding,[],[f7198,f9231]) ).
fof(f9233,definition,
! [X0,X1] :
( sP14(X0,X1)
<=> ! [X2] :
( r2_hidden(X2,X1)
<=> ? [X3] :
( r2_hidden(X2,X3)
& r1_tarski(X3,X1)
& v3_pre_topc(X3,X0)
& m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0))) ) ) ),
introduced(definition,[new_symbols(definition,[sP14])],[predicate_definition_introduction]) ).
fof(f9234,definition,
! [X1,X0] :
( ~ sP15(X1,X0)
| ( v3_pre_topc(X1,X0)
<=> sP14(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sP15])],[predicate_definition_introduction]) ).
fof(f9235,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ! [X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| sP15(X1,X0) ) ),
inference(definition_folding,[],[f7313,f9234,f9233]) ).
fof(f9236,definition,
! [X0,X1,X2] :
( sP16(X0,X1,X2)
<=> ! [X3] :
( ~ r2_hidden(X3,u1_struct_0(X0))
| ( r2_hidden(X3,X2)
<=> ! [X4] :
( ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X0)))
| ~ r1_xboole_0(X1,X4)
| ~ r2_hidden(X3,X4)
| ~ v3_pre_topc(X4,X0) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP16])],[predicate_definition_introduction]) ).
fof(f9237,definition,
! [X2,X1,X0] :
( ~ sP17(X2,X1,X0)
| ( X2 = k6_pre_topc(X0,X1)
<=> sP16(X0,X1,X2) ) ),
introduced(definition,[new_symbols(definition,[sP17])],[predicate_definition_introduction]) ).
fof(f9238,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ! [X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ! [X2] :
( ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
| sP17(X2,X1,X0) ) ) ),
inference(definition_folding,[],[f7335,f9237,f9236]) ).
fof(f9239,definition,
! [X0] :
( ~ sP18(X0)
| ( v14_lattices(X0)
& v10_lattices(X0)
& v9_lattices(X0)
& v8_lattices(X0)
& v7_lattices(X0)
& v6_lattices(X0)
& v5_lattices(X0)
& v4_lattices(X0)
& ~ v3_struct_0(X0) ) ),
introduced(definition,[new_symbols(definition,[sP18])],[predicate_definition_introduction]) ).
fof(f9240,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| ~ v6_group_1(X0)
| v3_struct_0(X0)
| sP18(X0) ),
inference(definition_folding,[],[f7734,f9239]) ).
fof(f9241,definition,
! [X0] :
( ~ sP19(X0)
| ( v13_lattices(X0)
& v10_lattices(X0)
& v9_lattices(X0)
& v8_lattices(X0)
& v7_lattices(X0)
& v6_lattices(X0)
& v5_lattices(X0)
& v4_lattices(X0)
& ~ v3_struct_0(X0) ) ),
introduced(definition,[new_symbols(definition,[sP19])],[predicate_definition_introduction]) ).
fof(f9242,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| ~ v6_group_1(X0)
| v3_struct_0(X0)
| sP19(X0) ),
inference(definition_folding,[],[f7736,f9241]) ).
fof(f9243,definition,
! [X4,X1,X0,X6,X2,X3] :
( sP20(X4,X1,X0,X6,X2,X3)
<=> ! [X9] :
( ~ m1_subset_1(X9,k5_finsub_1(X0))
| ~ r1_tarski(X9,X3)
| ! [X10] :
( ~ m1_subset_1(X10,X0)
| ~ r2_hidden(X10,X3)
| k8_funct_2(k5_finsub_1(X0),X1,X6,k5_setwiseo(X0,X9,k2_setwiseo(X0,X10))) = k2_binop_1(X1,X1,X1,X2,k8_funct_2(k5_finsub_1(X0),X1,X6,X9),k8_funct_2(X0,X1,X4,X10)) )
| k1_xboole_0 = X9 ) ),
introduced(definition,[new_symbols(definition,[sP20])],[predicate_definition_introduction]) ).
fof(f9244,definition,
! [X1,X0,X5,X3,X2,X4] :
( sP21(X1,X0,X5,X3,X2,X4)
<=> ? [X6] :
( sP20(X4,X1,X0,X6,X2,X3)
& ! [X8] :
( ~ m1_subset_1(X8,X0)
| k8_funct_2(X0,X1,X4,X8) = k8_funct_2(k5_finsub_1(X0),X1,X6,k2_setwiseo(X0,X8)) )
& ! [X7] :
( ~ m1_subset_1(X7,X1)
| ~ r3_binop_1(X1,X7,X2)
| k1_funct_1(X6,k1_xboole_0) = X7 )
& X5 = k8_funct_2(k5_finsub_1(X0),X1,X6,X3)
& m2_relset_1(X6,k5_finsub_1(X0),X1)
& v1_funct_2(X6,k5_finsub_1(X0),X1)
& v1_funct_1(X6) ) ),
introduced(definition,[new_symbols(definition,[sP21])],[predicate_definition_introduction]) ).
fof(f9245,definition,
! [X4,X2,X3,X5,X0,X1] :
( ~ sP22(X4,X2,X3,X5,X0,X1)
| ( X5 = k7_setwiseo(X0,X1,X2,X3,X4)
<=> sP21(X1,X0,X5,X3,X2,X4) ) ),
introduced(definition,[new_symbols(definition,[sP22])],[predicate_definition_introduction]) ).
fof(f9246,plain,
! [X0] :
( v1_xboole_0(X0)
| ! [X1] :
( v1_xboole_0(X1)
| ! [X2] :
( ~ m2_relset_1(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X2)
| ! [X3] :
( ~ m1_subset_1(X3,k5_finsub_1(X0))
| ! [X4] :
( ~ m2_relset_1(X4,X0,X1)
| ~ v1_funct_2(X4,X0,X1)
| ~ v1_funct_1(X4)
| ~ v2_binop_1(X2,X1)
| ~ v1_binop_1(X2,X1)
| ~ v3_binop_1(X2,X1)
| ! [X5] :
( ~ m1_subset_1(X5,X1)
| sP22(X4,X2,X3,X5,X0,X1) )
| ( ~ v1_setwiseo(X2,X1)
& X3 = k1_xboole_0 ) ) ) ) ) ),
inference(definition_folding,[],[f7769,f9245,f9244,f9243]) ).
fof(f9247,definition,
! [X0] :
( sP23(X0)
<=> ! [X1] :
( ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ! [X2] :
( ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| k5_relat_1(X1,X0) != k5_relat_1(X2,X0)
| k1_relat_1(X1) != k1_relat_1(X2)
| ~ r1_tarski(k2_relat_1(X2),k1_relat_1(X0))
| ~ r1_tarski(k2_relat_1(X1),k1_relat_1(X0))
| X1 = X2 ) ) ),
introduced(definition,[new_symbols(definition,[sP23])],[predicate_definition_introduction]) ).
fof(f9248,definition,
! [X0] :
( ~ sP24(X0)
| ( v2_funct_1(X0)
<=> sP23(X0) ) ),
introduced(definition,[new_symbols(definition,[sP24])],[predicate_definition_introduction]) ).
fof(f9249,plain,
! [X0] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| sP24(X0) ),
inference(definition_folding,[],[f8066,f9248,f9247]) ).
fof(f9250,definition,
! [X0,X2,X1] :
( sP25(X0,X2,X1)
<=> ! [X4] :
( ~ m2_subset_1(X4,k1_numbers,k5_numbers)
| ~ r2_hidden(X4,k4_finseq_1(X1))
| k1_funct_1(X1,X4) = k1_funct_1(X2,k1_nat_1(k3_finseq_1(X0),X4)) ) ),
introduced(definition,[new_symbols(definition,[sP25])],[predicate_definition_introduction]) ).
fof(f9251,plain,
! [X0] :
( ~ v1_finseq_1(X0)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ! [X1] :
( ~ v1_finseq_1(X1)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ! [X2] :
( ~ v1_finseq_1(X2)
| ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| ( X2 = k7_finseq_1(X0,X1)
<=> ( sP25(X0,X2,X1)
& ! [X3] :
( ~ m2_subset_1(X3,k1_numbers,k5_numbers)
| ~ r2_hidden(X3,k4_finseq_1(X0))
| k1_funct_1(X2,X3) = k1_funct_1(X0,X3) )
& k4_finseq_1(X2) = k2_finseq_1(k1_nat_1(k3_finseq_1(X0),k3_finseq_1(X1))) ) ) ) ) ),
inference(definition_folding,[],[f8461,f9250]) ).
fof(f9252,definition,
! [X0,X2] :
( ~ sP26(X0,X2)
| ( v2_funct_1(X2)
<=> ! [X3,X4] :
( k1_funct_1(X2,X3) != k1_funct_1(X2,X4)
| ~ r2_hidden(X4,X0)
| ~ r2_hidden(X3,X0)
| X3 = X4 ) ) ),
introduced(definition,[new_symbols(definition,[sP26])],[predicate_definition_introduction]) ).
fof(f9253,plain,
! [X0,X1,X2] :
( ~ m2_relset_1(X2,X0,X1)
| ~ v1_funct_2(X2,X0,X1)
| ~ v1_funct_1(X2)
| ( X1 = k1_xboole_0
& k1_xboole_0 != X0 )
| sP26(X0,X2) ),
inference(definition_folding,[],[f8482,f9252]) ).
fof(f9254,definition,
! [X4,X3,X2,X1,X0] :
( ~ sP27(X4,X3,X2,X1,X0)
| ? [X7] :
( m2_relset_1(X7,X1,X2)
& v1_funct_2(X7,X1,X2)
& v1_funct_1(X7)
& k7_funct_2(X0,X1,X2,X3,X7) = X4 ) ),
introduced(definition,[new_symbols(definition,[sP27])],[predicate_definition_introduction]) ).
fof(f9255,plain,
! [X0] :
( v1_xboole_0(X0)
| ! [X1] :
( v1_xboole_0(X1)
| ! [X2] :
( v1_xboole_0(X2)
| ! [X3] :
( ~ m2_relset_1(X3,X0,X1)
| ~ v1_funct_2(X3,X0,X1)
| ~ v1_funct_1(X3)
| ! [X4] :
( ~ m2_relset_1(X4,X0,X2)
| ~ v1_funct_2(X4,X0,X2)
| ~ v1_funct_1(X4)
| sP27(X4,X3,X2,X1,X0)
| ? [X5] :
( m1_subset_1(X5,X0)
& ? [X6] :
( m1_subset_1(X6,X0)
& k8_funct_2(X0,X1,X3,X5) = k8_funct_2(X0,X1,X3,X6)
& k8_funct_2(X0,X2,X4,X5) != k8_funct_2(X0,X2,X4,X6) ) ) ) ) ) ) ),
inference(definition_folding,[],[f8605,f9254]) ).
fof(f9256,definition,
! [X0,X1,X2] :
( sP28(X0,X1,X2)
<=> ! [X3] :
( r2_hidden(X3,k1_relat_1(X2))
<=> ? [X4,X5,X6,X7] :
( r2_hidden(k4_tarski(X6,X7),k1_relat_1(X1))
& r2_hidden(k4_tarski(X4,X5),k1_relat_1(X0))
& X3 = k4_tarski(k4_tarski(X4,X6),k4_tarski(X5,X7)) ) ) ),
introduced(definition,[new_symbols(definition,[sP28])],[predicate_definition_introduction]) ).
fof(f9257,plain,
! [X0] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ! [X1] :
( ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ! [X2] :
( ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| ( X2 = k3_funct_4(X0,X1)
<=> ( ! [X8,X9,X10,X11] :
( ~ r2_hidden(k4_tarski(X10,X11),k1_relat_1(X1))
| ~ r2_hidden(k4_tarski(X8,X9),k1_relat_1(X0))
| k1_funct_1(X2,k4_tarski(k4_tarski(X8,X10),k4_tarski(X9,X11))) = k4_tarski(k1_funct_1(X0,k4_tarski(X8,X9)),k1_funct_1(X1,k4_tarski(X10,X11))) )
& sP28(X0,X1,X2) ) ) ) ) ),
inference(definition_folding,[],[f8813,f9256]) ).
fof(f9258,definition,
! [X2,X0,X1] :
( sP29(X2,X0,X1)
<=> ( ! [X4] :
( ~ r2_hidden(X4,k1_relat_1(X1))
| k1_funct_1(X2,X4) = k1_funct_1(X1,X4) )
& ! [X3] :
( r2_hidden(X3,k1_relat_1(X1))
<=> ( r2_hidden(k1_funct_1(X2,X3),X0)
& r2_hidden(X3,k1_relat_1(X2)) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP29])],[predicate_definition_introduction]) ).
fof(f9259,definition,
! [X1,X0,X2] :
( ~ sP30(X1,X0,X2)
| ( X1 = k8_relat_1(X0,X2)
<=> sP29(X2,X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sP30])],[predicate_definition_introduction]) ).
fof(f9260,plain,
! [X0,X1] :
( ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ! [X2] :
( ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| sP30(X1,X0,X2) ) ),
inference(definition_folding,[],[f8871,f9259,f9258]) ).
fof(f9261,definition,
! [X0] :
( sP31(X0)
<=> ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| ! [X3] :
( ~ m1_subset_1(X3,u1_struct_0(X0))
| ( ? [X4] :
( k2_rlvect_1(X0,X1,X4) = k1_rlvect_1(X0)
& m1_subset_1(X4,u1_struct_0(X0)) )
& k2_rlvect_1(X0,X1,k1_rlvect_1(X0)) = X1
& k2_rlvect_1(X0,k2_rlvect_1(X0,X1,X2),X3) = k2_rlvect_1(X0,X1,k2_rlvect_1(X0,X2,X3))
& k2_rlvect_1(X0,X1,X2) = k2_rlvect_1(X0,X2,X1) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP31])],[predicate_definition_introduction]) ).
fof(f9262,definition,
! [X0] :
( sP32(X0)
<=> ( l1_rlvect_1(X0)
& v6_rlvect_1(X0)
& v5_rlvect_1(X0)
& v4_rlvect_1(X0)
& v3_rlvect_1(X0)
& ~ v3_struct_0(X0) ) ),
introduced(definition,[new_symbols(definition,[sP32])],[predicate_definition_introduction]) ).
fof(f9263,plain,
! [X0] :
( ~ l1_rlvect_1(X0)
| v3_struct_0(X0)
| ( sP31(X0)
<=> sP32(X0) ) ),
inference(definition_folding,[],[f8963,f9262,f9261]) ).
fof(f9264,definition,
! [X0,X1,X2,X3,X4] :
( sP33(X0,X1,X2,X3,X4)
<=> ! [X5] :
( r2_hidden(X5,X4)
<=> ( X3 = X5
| X2 = X5
| X1 = X5
| X0 = X5 ) ) ),
introduced(definition,[new_symbols(definition,[sP33])],[predicate_definition_introduction]) ).
fof(f9265,plain,
! [X0,X1,X2,X3,X4] :
( X4 = k2_enumset1(X0,X1,X2,X3)
<=> sP33(X0,X1,X2,X3,X4) ),
inference(definition_folding,[],[f9102,f9264]) ).
fof(f9266,definition,
! [X0,X2,X1] :
( sP34(X0,X2,X1)
<=> ? [X3] :
( ! [X4] :
( ~ m2_subset_1(X4,k1_numbers,k5_numbers)
| ! [X5] :
( ~ m1_subset_1(X5,u1_struct_0(X0))
| k1_funct_1(X1,k1_nat_1(X4,np__1)) != X5
| k8_funct_2(k5_numbers,u1_struct_0(X0),X3,k1_nat_1(X4,np__1)) = k2_rlvect_1(X0,k8_funct_2(k5_numbers,u1_struct_0(X0),X3,X4),X5)
| r1_xreal_0(k3_finseq_1(X1),X4) ) )
& k8_funct_2(k5_numbers,u1_struct_0(X0),X3,np__0) = k1_rlvect_1(X0)
& X2 = k8_funct_2(k5_numbers,u1_struct_0(X0),X3,k3_finseq_1(X1))
& m2_relset_1(X3,k5_numbers,u1_struct_0(X0))
& v1_funct_2(X3,k5_numbers,u1_struct_0(X0))
& v1_funct_1(X3) ) ),
introduced(definition,[new_symbols(definition,[sP34])],[predicate_definition_introduction]) ).
fof(f9267,definition,
! [X1,X2,X0] :
( ~ sP35(X1,X2,X0)
| ( X2 = k9_rlvect_1(X0,X1)
<=> sP34(X0,X2,X1) ) ),
introduced(definition,[new_symbols(definition,[sP35])],[predicate_definition_introduction]) ).
fof(f9268,plain,
! [X0] :
( ~ l1_rlvect_1(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m2_finseq_1(X1,u1_struct_0(X0))
| ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| sP35(X1,X2,X0) ) ) ),
inference(definition_folding,[],[f9145,f9267,f9266]) ).
fof(f9269,definition,
! [X2,X3] :
( sP36(X2,X3)
<=> ! [X4] :
( ~ m2_subset_1(X4,k1_numbers,k5_numbers)
| ? [X5] :
( m1_subset_1(X5,k8_qc_lang1)
& ? [X6] :
( m1_subset_1(X6,k8_qc_lang1)
& r1_qc_lang2(X5,X6)
& k1_funct_1(X3,k1_nat_1(X4,np__1)) = X6
& k1_funct_1(X3,X4) = X5 ) )
| r1_xreal_0(X2,X4)
| ~ r1_xreal_0(np__1,X4) ) ),
introduced(definition,[new_symbols(definition,[sP36])],[predicate_definition_introduction]) ).
fof(f9270,definition,
! [X0,X1] :
( sP37(X0,X1)
<=> ? [X2] :
( ? [X3] :
( sP36(X2,X3)
& k1_funct_1(X3,X2) = X1
& k1_funct_1(X3,np__1) = X0
& k3_finseq_1(X3) = X2
& r1_xreal_0(np__1,X2)
& v1_finseq_1(X3)
& v1_funct_1(X3)
& v1_relat_1(X3) )
& m2_subset_1(X2,k1_numbers,k5_numbers) ) ),
introduced(definition,[new_symbols(definition,[sP37])],[predicate_definition_introduction]) ).
fof(f9271,definition,
! [X1,X0] :
( ~ sP38(X1,X0)
| ( r2_qc_lang2(X0,X1)
<=> sP37(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sP38])],[predicate_definition_introduction]) ).
fof(f9272,plain,
! [X0] :
( ~ m1_subset_1(X0,k8_qc_lang1)
| ! [X1] :
( ~ m1_subset_1(X1,k8_qc_lang1)
| sP38(X1,X0) ) ),
inference(definition_folding,[],[f9147,f9271,f9270,f9269]) ).
fof(f9309,plain,
! [X1,X0,X2] :
( ( ~ sP0(X1,X0,X2)
| ? [X3] :
( ? [X4] :
( X2 = g3_lattices(X1,X3,X4)
& X4 = k1_realset1(u1_lattices(X0),X1)
& X3 = k1_realset1(u2_lattices(X0),X1)
& m2_relset_1(X4,k2_zfmisc_1(X1,X1),X1)
& v1_funct_2(X4,k2_zfmisc_1(X1,X1),X1)
& v1_funct_1(X4) )
& m2_relset_1(X3,k2_zfmisc_1(X1,X1),X1)
& v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
& v1_funct_1(X3) ) )
& ( ! [X3] :
( ! [X4] :
( g3_lattices(X1,X3,X4) != X2
| k1_realset1(u1_lattices(X0),X1) != X4
| k1_realset1(u2_lattices(X0),X1) != X3
| ~ m2_relset_1(X4,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X4,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X4) )
| ~ m2_relset_1(X3,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X3) )
| sP0(X1,X0,X2) ) ),
inference(nnf_transformation,[],[f9209]) ).
fof(f9310,plain,
! [X0,X1,X2] :
( ( ~ sP0(X0,X1,X2)
| ? [X5] :
( ? [X6] :
( g3_lattices(X0,X5,X6) = X2
& k1_realset1(u1_lattices(X1),X0) = X6
& k1_realset1(u2_lattices(X1),X0) = X5
& m2_relset_1(X6,k2_zfmisc_1(X0,X0),X0)
& v1_funct_2(X6,k2_zfmisc_1(X0,X0),X0)
& v1_funct_1(X6) )
& m2_relset_1(X5,k2_zfmisc_1(X0,X0),X0)
& v1_funct_2(X5,k2_zfmisc_1(X0,X0),X0)
& v1_funct_1(X5) ) )
& ( ! [X3] :
( ! [X4] :
( g3_lattices(X0,X3,X4) != X2
| k1_realset1(u1_lattices(X1),X0) != X4
| k1_realset1(u2_lattices(X1),X0) != X3
| ~ m2_relset_1(X4,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X4,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X4) )
| ~ m2_relset_1(X3,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X3,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X3) )
| sP0(X0,X1,X2) ) ),
inference(rectify,[],[f9309]) ).
fof(f9311,plain,
! [X0,X1,X2] :
( ( ~ sP0(X0,X1,X2)
| ( g3_lattices(X0,sK53(X0,X1,X2),sK54(X0,X1,X2)) = X2
& k1_realset1(u1_lattices(X1),X0) = sK54(X0,X1,X2)
& k1_realset1(u2_lattices(X1),X0) = sK53(X0,X1,X2)
& m2_relset_1(sK54(X0,X1,X2),k2_zfmisc_1(X0,X0),X0)
& v1_funct_2(sK54(X0,X1,X2),k2_zfmisc_1(X0,X0),X0)
& v1_funct_1(sK54(X0,X1,X2))
& m2_relset_1(sK53(X0,X1,X2),k2_zfmisc_1(X0,X0),X0)
& v1_funct_2(sK53(X0,X1,X2),k2_zfmisc_1(X0,X0),X0)
& v1_funct_1(sK53(X0,X1,X2)) ) )
& ( ! [X3] :
( ! [X4] :
( g3_lattices(X0,X3,X4) != X2
| k1_realset1(u1_lattices(X1),X0) != X4
| k1_realset1(u2_lattices(X1),X0) != X3
| ~ m2_relset_1(X4,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X4,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X4) )
| ~ m2_relset_1(X3,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X3,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X3) )
| sP0(X0,X1,X2) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK53,sK54]),skolemize(X5,sK53(X0,X1,X2)),skolemize(X6,sK54(X0,X1,X2))],[f9310]) ).
fof(f9312,plain,
! [X1,X0] :
( ~ sP2(X1,X0)
| ( v10_lattices(k8_filter_0(X0,X1))
& v9_lattices(k8_filter_0(X0,X1))
& v8_lattices(k8_filter_0(X0,X1))
& v7_lattices(k8_filter_0(X0,X1))
& v6_lattices(k8_filter_0(X0,X1))
& v5_lattices(k8_filter_0(X0,X1))
& v4_lattices(k8_filter_0(X0,X1))
& v3_lattices(k8_filter_0(X0,X1))
& ~ v3_struct_0(k8_filter_0(X0,X1)) ) ),
inference(nnf_transformation,[],[f9212]) ).
fof(f9313,plain,
! [X0,X1] :
( ~ sP2(X0,X1)
| ( v10_lattices(k8_filter_0(X1,X0))
& v9_lattices(k8_filter_0(X1,X0))
& v8_lattices(k8_filter_0(X1,X0))
& v7_lattices(k8_filter_0(X1,X0))
& v6_lattices(k8_filter_0(X1,X0))
& v5_lattices(k8_filter_0(X1,X0))
& v4_lattices(k8_filter_0(X1,X0))
& v3_lattices(k8_filter_0(X1,X0))
& ~ v3_struct_0(k8_filter_0(X1,X0)) ) ),
inference(rectify,[],[f9312]) ).
fof(f9320,plain,
! [X0,X1] :
( ( ~ sP3(X0,X1)
| ( l3_lattices(X1)
& v17_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1)
& l3_lattices(X0)
& v17_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) ) )
& ( ~ l3_lattices(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| sP3(X0,X1) ) ),
inference(nnf_transformation,[],[f9214]) ).
fof(f9321,plain,
! [X0,X1] :
( ( ~ sP3(X0,X1)
| ( l3_lattices(X1)
& v17_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1)
& l3_lattices(X0)
& v17_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) ) )
& ( ~ l3_lattices(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| sP3(X0,X1) ) ),
inference(flattening,[],[f9320]) ).
fof(f9331,plain,
! [X0,X1] :
( ( ~ sP5(X0,X1)
| ( l3_lattices(X1)
& v11_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1)
& l3_lattices(X0)
& v11_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) ) )
& ( ~ l3_lattices(X1)
| ~ v11_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ~ l3_lattices(X0)
| ~ v11_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| sP5(X0,X1) ) ),
inference(nnf_transformation,[],[f9217]) ).
fof(f9332,plain,
! [X0,X1] :
( ( ~ sP5(X0,X1)
| ( l3_lattices(X1)
& v11_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1)
& l3_lattices(X0)
& v11_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) ) )
& ( ~ l3_lattices(X1)
| ~ v11_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ~ l3_lattices(X0)
| ~ v11_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| sP5(X0,X1) ) ),
inference(flattening,[],[f9331]) ).
fof(f9333,plain,
! [X1,X0] :
( ~ sP7(X1,X0)
| ( v10_lattices(k8_filter_1(X0,X1))
& v9_lattices(k8_filter_1(X0,X1))
& v8_lattices(k8_filter_1(X0,X1))
& v7_lattices(k8_filter_1(X0,X1))
& v6_lattices(k8_filter_1(X0,X1))
& v5_lattices(k8_filter_1(X0,X1))
& v4_lattices(k8_filter_1(X0,X1))
& v3_lattices(k8_filter_1(X0,X1))
& ~ v3_struct_0(k8_filter_1(X0,X1)) ) ),
inference(nnf_transformation,[],[f9220]) ).
fof(f9334,plain,
! [X0,X1] :
( ~ sP7(X0,X1)
| ( v10_lattices(k8_filter_1(X1,X0))
& v9_lattices(k8_filter_1(X1,X0))
& v8_lattices(k8_filter_1(X1,X0))
& v7_lattices(k8_filter_1(X1,X0))
& v6_lattices(k8_filter_1(X1,X0))
& v5_lattices(k8_filter_1(X1,X0))
& v4_lattices(k8_filter_1(X1,X0))
& v3_lattices(k8_filter_1(X1,X0))
& ~ v3_struct_0(k8_filter_1(X1,X0)) ) ),
inference(rectify,[],[f9333]) ).
fof(f9349,plain,
! [X1,X0] :
( ( ~ sP8(X1,X0)
| ! [X4] :
( ~ m1_subset_1(X4,u1_struct_0(X0))
| ! [X5] :
( ~ m1_subset_1(X5,u1_struct_0(X0))
| ~ r3_lattices(X0,X4,X5)
| ~ r2_hidden(X4,X1)
| r2_hidden(X5,X1) ) ) )
& ( ? [X4] :
( m1_subset_1(X4,u1_struct_0(X0))
& ? [X5] :
( m1_subset_1(X5,u1_struct_0(X0))
& r3_lattices(X0,X4,X5)
& r2_hidden(X4,X1)
& ~ r2_hidden(X5,X1) ) )
| sP8(X1,X0) ) ),
inference(nnf_transformation,[],[f9222]) ).
fof(f9350,plain,
! [X0,X1] :
( ( ~ sP8(X0,X1)
| ! [X4] :
( ~ m1_subset_1(X4,u1_struct_0(X1))
| ! [X5] :
( ~ m1_subset_1(X5,u1_struct_0(X1))
| ~ r3_lattices(X1,X4,X5)
| ~ r2_hidden(X4,X0)
| r2_hidden(X5,X0) ) ) )
& ( ? [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
& ? [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
& r3_lattices(X1,X2,X3)
& r2_hidden(X2,X0)
& ~ r2_hidden(X3,X0) ) )
| sP8(X0,X1) ) ),
inference(rectify,[],[f9349]) ).
fof(f9351,plain,
! [X0,X1] :
( ( ~ sP8(X0,X1)
| ! [X4] :
( ~ m1_subset_1(X4,u1_struct_0(X1))
| ! [X5] :
( ~ m1_subset_1(X5,u1_struct_0(X1))
| ~ r3_lattices(X1,X4,X5)
| ~ r2_hidden(X4,X0)
| r2_hidden(X5,X0) ) ) )
& ( ( m1_subset_1(sK64(X0,X1),u1_struct_0(X1))
& m1_subset_1(sK65(X0,X1),u1_struct_0(X1))
& r3_lattices(X1,sK64(X0,X1),sK65(X0,X1))
& r2_hidden(sK64(X0,X1),X0)
& ~ r2_hidden(sK65(X0,X1),X0) )
| sP8(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK64,sK65]),skolemize(X2,sK64(X0,X1)),skolemize(X3,sK65(X0,X1))],[f9350]) ).
fof(f9430,plain,
! [X0] :
( ~ sP9(X0)
| ? [X4,X5,X6] :
( r2_hidden(k4_tarski(X4,X6),X0)
& r2_hidden(k4_tarski(X4,X5),X0)
& X5 != X6 ) ),
inference(nnf_transformation,[],[f9224]) ).
fof(f9431,plain,
! [X0] :
( ~ sP9(X0)
| ? [X1,X2,X3] :
( r2_hidden(k4_tarski(X1,X3),X0)
& r2_hidden(k4_tarski(X1,X2),X0)
& X2 != X3 ) ),
inference(rectify,[],[f9430]) ).
fof(f9432,plain,
! [X0] :
( ~ sP9(X0)
| ( r2_hidden(k4_tarski(sK130(X0),sK132(X0)),X0)
& r2_hidden(k4_tarski(sK130(X0),sK131(X0)),X0)
& sK131(X0) != sK132(X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK130,sK131,sK132]),skolemize(X1,sK130(X0)),skolemize(X2,sK131(X0)),skolemize(X3,sK132(X0))],[f9431]) ).
fof(f9487,plain,
! [X0,X1] :
( ( ~ sP10(X0,X1)
| ( l3_lattices(X1)
& v16_lattices(X1)
& v15_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1)
& l3_lattices(X0)
& v16_lattices(X0)
& v15_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) ) )
& ( ~ l3_lattices(X1)
| ~ v16_lattices(X1)
| ~ v15_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ~ l3_lattices(X0)
| ~ v16_lattices(X0)
| ~ v15_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| sP10(X0,X1) ) ),
inference(nnf_transformation,[],[f9226]) ).
fof(f9488,plain,
! [X0,X1] :
( ( ~ sP10(X0,X1)
| ( l3_lattices(X1)
& v16_lattices(X1)
& v15_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1)
& l3_lattices(X0)
& v16_lattices(X0)
& v15_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) ) )
& ( ~ l3_lattices(X1)
| ~ v16_lattices(X1)
| ~ v15_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ~ l3_lattices(X0)
| ~ v16_lattices(X0)
| ~ v15_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| sP10(X0,X1) ) ),
inference(flattening,[],[f9487]) ).
fof(f9489,plain,
! [X0] :
( ~ sP12(X0)
| ( v15_lattices(X0)
& v14_lattices(X0)
& v13_lattices(X0)
& v10_lattices(X0)
& v9_lattices(X0)
& v8_lattices(X0)
& v7_lattices(X0)
& v6_lattices(X0)
& v5_lattices(X0)
& v4_lattices(X0)
& ~ v3_struct_0(X0) ) ),
inference(nnf_transformation,[],[f9229]) ).
fof(f9504,plain,
! [X0] :
( ~ sP13(X0)
| ( v10_lattices(k1_lattice2(X0))
& v9_lattices(k1_lattice2(X0))
& v8_lattices(k1_lattice2(X0))
& v7_lattices(k1_lattice2(X0))
& v6_lattices(k1_lattice2(X0))
& v5_lattices(k1_lattice2(X0))
& v4_lattices(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0))
& ~ v3_struct_0(k1_lattice2(X0)) ) ),
inference(nnf_transformation,[],[f9231]) ).
fof(f9534,plain,
! [X0,X1] :
( ( ~ sP14(X0,X1)
| ! [X2] :
( ( ~ r2_hidden(X2,X1)
| ? [X3] :
( r2_hidden(X2,X3)
& r1_tarski(X3,X1)
& v3_pre_topc(X3,X0)
& m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0))) ) )
& ( ! [X3] :
( ~ r2_hidden(X2,X3)
| ~ r1_tarski(X3,X1)
| ~ v3_pre_topc(X3,X0)
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0))) )
| r2_hidden(X2,X1) ) ) )
& ( ? [X2] :
( ( r2_hidden(X2,X1)
| ? [X3] :
( r2_hidden(X2,X3)
& r1_tarski(X3,X1)
& v3_pre_topc(X3,X0)
& m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0))) ) )
& ( ~ r2_hidden(X2,X1)
| ! [X3] :
( ~ r2_hidden(X2,X3)
| ~ r1_tarski(X3,X1)
| ~ v3_pre_topc(X3,X0)
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0))) ) ) )
| sP14(X0,X1) ) ),
inference(nnf_transformation,[],[f9233]) ).
fof(f9535,plain,
! [X0,X1] :
( ( ~ sP14(X0,X1)
| ! [X5] :
( ( ~ r2_hidden(X5,X1)
| ? [X7] :
( r2_hidden(X5,X7)
& r1_tarski(X7,X1)
& v3_pre_topc(X7,X0)
& m1_subset_1(X7,k1_zfmisc_1(u1_struct_0(X0))) ) )
& ( ! [X6] :
( ~ r2_hidden(X5,X6)
| ~ r1_tarski(X6,X1)
| ~ v3_pre_topc(X6,X0)
| ~ m1_subset_1(X6,k1_zfmisc_1(u1_struct_0(X0))) )
| r2_hidden(X5,X1) ) ) )
& ( ? [X2] :
( ( r2_hidden(X2,X1)
| ? [X4] :
( r2_hidden(X2,X4)
& r1_tarski(X4,X1)
& v3_pre_topc(X4,X0)
& m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X0))) ) )
& ( ~ r2_hidden(X2,X1)
| ! [X3] :
( ~ r2_hidden(X2,X3)
| ~ r1_tarski(X3,X1)
| ~ v3_pre_topc(X3,X0)
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0))) ) ) )
| sP14(X0,X1) ) ),
inference(rectify,[],[f9534]) ).
fof(f9536,plain,
! [X0,X1] :
( ( ~ sP14(X0,X1)
| ! [X5] :
( ( ~ r2_hidden(X5,X1)
| ( r2_hidden(X5,sK207(X0,X1,X5))
& r1_tarski(sK207(X0,X1,X5),X1)
& v3_pre_topc(sK207(X0,X1,X5),X0)
& m1_subset_1(sK207(X0,X1,X5),k1_zfmisc_1(u1_struct_0(X0))) ) )
& ( ! [X6] :
( ~ r2_hidden(X5,X6)
| ~ r1_tarski(X6,X1)
| ~ v3_pre_topc(X6,X0)
| ~ m1_subset_1(X6,k1_zfmisc_1(u1_struct_0(X0))) )
| r2_hidden(X5,X1) ) ) )
& ( ( ( r2_hidden(sK205(X0,X1),X1)
| ( r2_hidden(sK205(X0,X1),sK206(X0,X1))
& r1_tarski(sK206(X0,X1),X1)
& v3_pre_topc(sK206(X0,X1),X0)
& m1_subset_1(sK206(X0,X1),k1_zfmisc_1(u1_struct_0(X0))) ) )
& ( ~ r2_hidden(sK205(X0,X1),X1)
| ! [X3] :
( ~ r2_hidden(sK205(X0,X1),X3)
| ~ r1_tarski(X3,X1)
| ~ v3_pre_topc(X3,X0)
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0))) ) ) )
| sP14(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK205,sK206,sK207]),skolemize(X2,sK205(X0,X1)),skolemize(X4,sK206(X0,X1)),skolemize(X7,sK207(X0,X1,X5))],[f9535]) ).
fof(f9551,plain,
! [X0,X1,X2] :
( ( ~ sP16(X0,X1,X2)
| ! [X3] :
( ~ r2_hidden(X3,u1_struct_0(X0))
| ( ( ~ r2_hidden(X3,X2)
| ! [X4] :
( ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X0)))
| ~ r1_xboole_0(X1,X4)
| ~ r2_hidden(X3,X4)
| ~ v3_pre_topc(X4,X0) ) )
& ( ? [X4] :
( m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X0)))
& r1_xboole_0(X1,X4)
& r2_hidden(X3,X4)
& v3_pre_topc(X4,X0) )
| r2_hidden(X3,X2) ) ) ) )
& ( ? [X3] :
( r2_hidden(X3,u1_struct_0(X0))
& ( r2_hidden(X3,X2)
| ! [X4] :
( ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X0)))
| ~ r1_xboole_0(X1,X4)
| ~ r2_hidden(X3,X4)
| ~ v3_pre_topc(X4,X0) ) )
& ( ~ r2_hidden(X3,X2)
| ? [X4] :
( m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X0)))
& r1_xboole_0(X1,X4)
& r2_hidden(X3,X4)
& v3_pre_topc(X4,X0) ) ) )
| sP16(X0,X1,X2) ) ),
inference(nnf_transformation,[],[f9236]) ).
fof(f9552,plain,
! [X0,X1,X2] :
( ( ~ sP16(X0,X1,X2)
| ! [X3] :
( ~ r2_hidden(X3,u1_struct_0(X0))
| ( ( ~ r2_hidden(X3,X2)
| ! [X4] :
( ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X0)))
| ~ r1_xboole_0(X1,X4)
| ~ r2_hidden(X3,X4)
| ~ v3_pre_topc(X4,X0) ) )
& ( ? [X4] :
( m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X0)))
& r1_xboole_0(X1,X4)
& r2_hidden(X3,X4)
& v3_pre_topc(X4,X0) )
| r2_hidden(X3,X2) ) ) ) )
& ( ? [X3] :
( r2_hidden(X3,u1_struct_0(X0))
& ( r2_hidden(X3,X2)
| ! [X4] :
( ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X0)))
| ~ r1_xboole_0(X1,X4)
| ~ r2_hidden(X3,X4)
| ~ v3_pre_topc(X4,X0) ) )
& ( ~ r2_hidden(X3,X2)
| ? [X4] :
( m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X0)))
& r1_xboole_0(X1,X4)
& r2_hidden(X3,X4)
& v3_pre_topc(X4,X0) ) ) )
| sP16(X0,X1,X2) ) ),
inference(flattening,[],[f9551]) ).
fof(f9553,plain,
! [X0,X1,X2] :
( ( ~ sP16(X0,X1,X2)
| ! [X6] :
( ~ r2_hidden(X6,u1_struct_0(X0))
| ( ( ~ r2_hidden(X6,X2)
| ! [X8] :
( ~ m1_subset_1(X8,k1_zfmisc_1(u1_struct_0(X0)))
| ~ r1_xboole_0(X1,X8)
| ~ r2_hidden(X6,X8)
| ~ v3_pre_topc(X8,X0) ) )
& ( ? [X7] :
( m1_subset_1(X7,k1_zfmisc_1(u1_struct_0(X0)))
& r1_xboole_0(X1,X7)
& r2_hidden(X6,X7)
& v3_pre_topc(X7,X0) )
| r2_hidden(X6,X2) ) ) ) )
& ( ? [X3] :
( r2_hidden(X3,u1_struct_0(X0))
& ( r2_hidden(X3,X2)
| ! [X5] :
( ~ m1_subset_1(X5,k1_zfmisc_1(u1_struct_0(X0)))
| ~ r1_xboole_0(X1,X5)
| ~ r2_hidden(X3,X5)
| ~ v3_pre_topc(X5,X0) ) )
& ( ~ r2_hidden(X3,X2)
| ? [X4] :
( m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X0)))
& r1_xboole_0(X1,X4)
& r2_hidden(X3,X4)
& v3_pre_topc(X4,X0) ) ) )
| sP16(X0,X1,X2) ) ),
inference(rectify,[],[f9552]) ).
fof(f9554,plain,
! [X0,X1,X2] :
( ( ~ sP16(X0,X1,X2)
| ! [X6] :
( ~ r2_hidden(X6,u1_struct_0(X0))
| ( ( ~ r2_hidden(X6,X2)
| ! [X8] :
( ~ m1_subset_1(X8,k1_zfmisc_1(u1_struct_0(X0)))
| ~ r1_xboole_0(X1,X8)
| ~ r2_hidden(X6,X8)
| ~ v3_pre_topc(X8,X0) ) )
& ( ( m1_subset_1(sK215(X0,X1,X6),k1_zfmisc_1(u1_struct_0(X0)))
& r1_xboole_0(X1,sK215(X0,X1,X6))
& r2_hidden(X6,sK215(X0,X1,X6))
& v3_pre_topc(sK215(X0,X1,X6),X0) )
| r2_hidden(X6,X2) ) ) ) )
& ( ( r2_hidden(sK213(X0,X1,X2),u1_struct_0(X0))
& ( r2_hidden(sK213(X0,X1,X2),X2)
| ! [X5] :
( ~ m1_subset_1(X5,k1_zfmisc_1(u1_struct_0(X0)))
| ~ r1_xboole_0(X1,X5)
| ~ r2_hidden(sK213(X0,X1,X2),X5)
| ~ v3_pre_topc(X5,X0) ) )
& ( ~ r2_hidden(sK213(X0,X1,X2),X2)
| ( m1_subset_1(sK214(X0,X1,X2),k1_zfmisc_1(u1_struct_0(X0)))
& r1_xboole_0(X1,sK214(X0,X1,X2))
& r2_hidden(sK213(X0,X1,X2),sK214(X0,X1,X2))
& v3_pre_topc(sK214(X0,X1,X2),X0) ) ) )
| sP16(X0,X1,X2) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK213,sK214,sK215]),skolemize(X3,sK213(X0,X1,X2)),skolemize(X4,sK214(X0,X1,X2)),skolemize(X7,sK215(X0,X1,X6))],[f9553]) ).
fof(f9700,plain,
! [X0] :
( ~ sP18(X0)
| ( v14_lattices(X0)
& v10_lattices(X0)
& v9_lattices(X0)
& v8_lattices(X0)
& v7_lattices(X0)
& v6_lattices(X0)
& v5_lattices(X0)
& v4_lattices(X0)
& ~ v3_struct_0(X0) ) ),
inference(nnf_transformation,[],[f9239]) ).
fof(f9701,plain,
! [X0] :
( ~ sP19(X0)
| ( v13_lattices(X0)
& v10_lattices(X0)
& v9_lattices(X0)
& v8_lattices(X0)
& v7_lattices(X0)
& v6_lattices(X0)
& v5_lattices(X0)
& v4_lattices(X0)
& ~ v3_struct_0(X0) ) ),
inference(nnf_transformation,[],[f9241]) ).
fof(f9715,plain,
! [X4,X1,X0,X6,X2,X3] :
( ( ~ sP20(X4,X1,X0,X6,X2,X3)
| ! [X9] :
( ~ m1_subset_1(X9,k5_finsub_1(X0))
| ~ r1_tarski(X9,X3)
| ! [X10] :
( ~ m1_subset_1(X10,X0)
| ~ r2_hidden(X10,X3)
| k8_funct_2(k5_finsub_1(X0),X1,X6,k5_setwiseo(X0,X9,k2_setwiseo(X0,X10))) = k2_binop_1(X1,X1,X1,X2,k8_funct_2(k5_finsub_1(X0),X1,X6,X9),k8_funct_2(X0,X1,X4,X10)) )
| k1_xboole_0 = X9 ) )
& ( ? [X9] :
( m1_subset_1(X9,k5_finsub_1(X0))
& r1_tarski(X9,X3)
& ? [X10] :
( m1_subset_1(X10,X0)
& r2_hidden(X10,X3)
& k8_funct_2(k5_finsub_1(X0),X1,X6,k5_setwiseo(X0,X9,k2_setwiseo(X0,X10))) != k2_binop_1(X1,X1,X1,X2,k8_funct_2(k5_finsub_1(X0),X1,X6,X9),k8_funct_2(X0,X1,X4,X10)) )
& k1_xboole_0 != X9 )
| sP20(X4,X1,X0,X6,X2,X3) ) ),
inference(nnf_transformation,[],[f9243]) ).
fof(f9716,plain,
! [X0,X1,X2,X3,X4,X5] :
( ( ~ sP20(X0,X1,X2,X3,X4,X5)
| ! [X8] :
( ~ m1_subset_1(X8,k5_finsub_1(X2))
| ~ r1_tarski(X8,X5)
| ! [X9] :
( ~ m1_subset_1(X9,X2)
| ~ r2_hidden(X9,X5)
| k8_funct_2(k5_finsub_1(X2),X1,X3,k5_setwiseo(X2,X8,k2_setwiseo(X2,X9))) = k2_binop_1(X1,X1,X1,X4,k8_funct_2(k5_finsub_1(X2),X1,X3,X8),k8_funct_2(X2,X1,X0,X9)) )
| k1_xboole_0 = X8 ) )
& ( ? [X6] :
( m1_subset_1(X6,k5_finsub_1(X2))
& r1_tarski(X6,X5)
& ? [X7] :
( m1_subset_1(X7,X2)
& r2_hidden(X7,X5)
& k8_funct_2(k5_finsub_1(X2),X1,X3,k5_setwiseo(X2,X6,k2_setwiseo(X2,X7))) != k2_binop_1(X1,X1,X1,X4,k8_funct_2(k5_finsub_1(X2),X1,X3,X6),k8_funct_2(X2,X1,X0,X7)) )
& k1_xboole_0 != X6 )
| sP20(X0,X1,X2,X3,X4,X5) ) ),
inference(rectify,[],[f9715]) ).
fof(f9717,plain,
! [X0,X1,X2,X3,X4,X5] :
( ( ~ sP20(X0,X1,X2,X3,X4,X5)
| ! [X8] :
( ~ m1_subset_1(X8,k5_finsub_1(X2))
| ~ r1_tarski(X8,X5)
| ! [X9] :
( ~ m1_subset_1(X9,X2)
| ~ r2_hidden(X9,X5)
| k8_funct_2(k5_finsub_1(X2),X1,X3,k5_setwiseo(X2,X8,k2_setwiseo(X2,X9))) = k2_binop_1(X1,X1,X1,X4,k8_funct_2(k5_finsub_1(X2),X1,X3,X8),k8_funct_2(X2,X1,X0,X9)) )
| k1_xboole_0 = X8 ) )
& ( ( m1_subset_1(sK285(X0,X1,X2,X3,X4,X5),k5_finsub_1(X2))
& r1_tarski(sK285(X0,X1,X2,X3,X4,X5),X5)
& m1_subset_1(sK286(X0,X1,X2,X3,X4,X5),X2)
& r2_hidden(sK286(X0,X1,X2,X3,X4,X5),X5)
& k8_funct_2(k5_finsub_1(X2),X1,X3,k5_setwiseo(X2,sK285(X0,X1,X2,X3,X4,X5),k2_setwiseo(X2,sK286(X0,X1,X2,X3,X4,X5)))) != k2_binop_1(X1,X1,X1,X4,k8_funct_2(k5_finsub_1(X2),X1,X3,sK285(X0,X1,X2,X3,X4,X5)),k8_funct_2(X2,X1,X0,sK286(X0,X1,X2,X3,X4,X5)))
& k1_xboole_0 != sK285(X0,X1,X2,X3,X4,X5) )
| sP20(X0,X1,X2,X3,X4,X5) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK285,sK286]),skolemize(X6,sK285(X0,X1,X2,X3,X4,X5)),skolemize(X7,sK286(X0,X1,X2,X3,X4,X5))],[f9716]) ).
fof(f9826,plain,
! [X0] :
( ( ~ sP23(X0)
| ! [X1] :
( ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ! [X2] :
( ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| k5_relat_1(X1,X0) != k5_relat_1(X2,X0)
| k1_relat_1(X1) != k1_relat_1(X2)
| ~ r1_tarski(k2_relat_1(X2),k1_relat_1(X0))
| ~ r1_tarski(k2_relat_1(X1),k1_relat_1(X0))
| X1 = X2 ) ) )
& ( ? [X1] :
( v1_funct_1(X1)
& v1_relat_1(X1)
& ? [X2] :
( v1_funct_1(X2)
& v1_relat_1(X2)
& k5_relat_1(X1,X0) = k5_relat_1(X2,X0)
& k1_relat_1(X1) = k1_relat_1(X2)
& r1_tarski(k2_relat_1(X2),k1_relat_1(X0))
& r1_tarski(k2_relat_1(X1),k1_relat_1(X0))
& X1 != X2 ) )
| sP23(X0) ) ),
inference(nnf_transformation,[],[f9247]) ).
fof(f9827,plain,
! [X0] :
( ( ~ sP23(X0)
| ! [X3] :
( ~ v1_funct_1(X3)
| ~ v1_relat_1(X3)
| ! [X4] :
( ~ v1_funct_1(X4)
| ~ v1_relat_1(X4)
| k5_relat_1(X3,X0) != k5_relat_1(X4,X0)
| k1_relat_1(X4) != k1_relat_1(X3)
| ~ r1_tarski(k2_relat_1(X4),k1_relat_1(X0))
| ~ r1_tarski(k2_relat_1(X3),k1_relat_1(X0))
| X3 = X4 ) ) )
& ( ? [X1] :
( v1_funct_1(X1)
& v1_relat_1(X1)
& ? [X2] :
( v1_funct_1(X2)
& v1_relat_1(X2)
& k5_relat_1(X1,X0) = k5_relat_1(X2,X0)
& k1_relat_1(X1) = k1_relat_1(X2)
& r1_tarski(k2_relat_1(X2),k1_relat_1(X0))
& r1_tarski(k2_relat_1(X1),k1_relat_1(X0))
& X1 != X2 ) )
| sP23(X0) ) ),
inference(rectify,[],[f9826]) ).
fof(f9828,plain,
! [X0] :
( ( ~ sP23(X0)
| ! [X3] :
( ~ v1_funct_1(X3)
| ~ v1_relat_1(X3)
| ! [X4] :
( ~ v1_funct_1(X4)
| ~ v1_relat_1(X4)
| k5_relat_1(X3,X0) != k5_relat_1(X4,X0)
| k1_relat_1(X4) != k1_relat_1(X3)
| ~ r1_tarski(k2_relat_1(X4),k1_relat_1(X0))
| ~ r1_tarski(k2_relat_1(X3),k1_relat_1(X0))
| X3 = X4 ) ) )
& ( ( v1_funct_1(sK345(X0))
& v1_relat_1(sK345(X0))
& v1_funct_1(sK346(X0))
& v1_relat_1(sK346(X0))
& k5_relat_1(sK345(X0),X0) = k5_relat_1(sK346(X0),X0)
& k1_relat_1(sK345(X0)) = k1_relat_1(sK346(X0))
& r1_tarski(k2_relat_1(sK346(X0)),k1_relat_1(X0))
& r1_tarski(k2_relat_1(sK345(X0)),k1_relat_1(X0))
& sK345(X0) != sK346(X0) )
| sP23(X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK345,sK346]),skolemize(X1,sK345(X0)),skolemize(X2,sK346(X0))],[f9827]) ).
fof(f9951,plain,
! [X0,X2,X1] :
( ( ~ sP25(X0,X2,X1)
| ! [X4] :
( ~ m2_subset_1(X4,k1_numbers,k5_numbers)
| ~ r2_hidden(X4,k4_finseq_1(X1))
| k1_funct_1(X1,X4) = k1_funct_1(X2,k1_nat_1(k3_finseq_1(X0),X4)) ) )
& ( ? [X4] :
( m2_subset_1(X4,k1_numbers,k5_numbers)
& r2_hidden(X4,k4_finseq_1(X1))
& k1_funct_1(X1,X4) != k1_funct_1(X2,k1_nat_1(k3_finseq_1(X0),X4)) )
| sP25(X0,X2,X1) ) ),
inference(nnf_transformation,[],[f9250]) ).
fof(f9952,plain,
! [X0,X1,X2] :
( ( ~ sP25(X0,X1,X2)
| ! [X4] :
( ~ m2_subset_1(X4,k1_numbers,k5_numbers)
| ~ r2_hidden(X4,k4_finseq_1(X2))
| k1_funct_1(X2,X4) = k1_funct_1(X1,k1_nat_1(k3_finseq_1(X0),X4)) ) )
& ( ? [X3] :
( m2_subset_1(X3,k1_numbers,k5_numbers)
& r2_hidden(X3,k4_finseq_1(X2))
& k1_funct_1(X2,X3) != k1_funct_1(X1,k1_nat_1(k3_finseq_1(X0),X3)) )
| sP25(X0,X1,X2) ) ),
inference(rectify,[],[f9951]) ).
fof(f9953,plain,
! [X0,X1,X2] :
( ( ~ sP25(X0,X1,X2)
| ! [X4] :
( ~ m2_subset_1(X4,k1_numbers,k5_numbers)
| ~ r2_hidden(X4,k4_finseq_1(X2))
| k1_funct_1(X2,X4) = k1_funct_1(X1,k1_nat_1(k3_finseq_1(X0),X4)) ) )
& ( ( m2_subset_1(sK422(X0,X1,X2),k1_numbers,k5_numbers)
& r2_hidden(sK422(X0,X1,X2),k4_finseq_1(X2))
& k1_funct_1(X2,sK422(X0,X1,X2)) != k1_funct_1(X1,k1_nat_1(k3_finseq_1(X0),sK422(X0,X1,X2))) )
| sP25(X0,X1,X2) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK422]),skolemize(X3,sK422(X0,X1,X2))],[f9952]) ).
fof(f9980,plain,
! [X0,X2] :
( ~ sP26(X0,X2)
| ( ( ~ v2_funct_1(X2)
| ! [X3,X4] :
( k1_funct_1(X2,X3) != k1_funct_1(X2,X4)
| ~ r2_hidden(X4,X0)
| ~ r2_hidden(X3,X0)
| X3 = X4 ) )
& ( ? [X3,X4] :
( k1_funct_1(X2,X3) = k1_funct_1(X2,X4)
& r2_hidden(X4,X0)
& r2_hidden(X3,X0)
& X3 != X4 )
| v2_funct_1(X2) ) ) ),
inference(nnf_transformation,[],[f9252]) ).
fof(f9981,plain,
! [X0,X1] :
( ~ sP26(X0,X1)
| ( ( ~ v2_funct_1(X1)
| ! [X4,X5] :
( k1_funct_1(X1,X4) != k1_funct_1(X1,X5)
| ~ r2_hidden(X5,X0)
| ~ r2_hidden(X4,X0)
| X4 = X5 ) )
& ( ? [X2,X3] :
( k1_funct_1(X1,X2) = k1_funct_1(X1,X3)
& r2_hidden(X3,X0)
& r2_hidden(X2,X0)
& X2 != X3 )
| v2_funct_1(X1) ) ) ),
inference(rectify,[],[f9980]) ).
fof(f9982,plain,
! [X0,X1] :
( ~ sP26(X0,X1)
| ( ( ~ v2_funct_1(X1)
| ! [X4,X5] :
( k1_funct_1(X1,X4) != k1_funct_1(X1,X5)
| ~ r2_hidden(X5,X0)
| ~ r2_hidden(X4,X0)
| X4 = X5 ) )
& ( ( k1_funct_1(X1,sK434(X0,X1)) = k1_funct_1(X1,sK435(X0,X1))
& r2_hidden(sK435(X0,X1),X0)
& r2_hidden(sK434(X0,X1),X0)
& sK434(X0,X1) != sK435(X0,X1) )
| v2_funct_1(X1) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK434,sK435]),skolemize(X2,sK434(X0,X1)),skolemize(X3,sK435(X0,X1))],[f9981]) ).
fof(f10032,plain,
! [X4,X3,X2,X1,X0] :
( ~ sP27(X4,X3,X2,X1,X0)
| ? [X7] :
( m2_relset_1(X7,X1,X2)
& v1_funct_2(X7,X1,X2)
& v1_funct_1(X7)
& k7_funct_2(X0,X1,X2,X3,X7) = X4 ) ),
inference(nnf_transformation,[],[f9254]) ).
fof(f10033,plain,
! [X0,X1,X2,X3,X4] :
( ~ sP27(X0,X1,X2,X3,X4)
| ? [X5] :
( m2_relset_1(X5,X3,X2)
& v1_funct_2(X5,X3,X2)
& v1_funct_1(X5)
& k7_funct_2(X4,X3,X2,X1,X5) = X0 ) ),
inference(rectify,[],[f10032]) ).
fof(f10034,plain,
! [X0,X1,X2,X3,X4] :
( ~ sP27(X0,X1,X2,X3,X4)
| ( m2_relset_1(sK465(X0,X1,X2,X3,X4),X3,X2)
& v1_funct_2(sK465(X0,X1,X2,X3,X4),X3,X2)
& v1_funct_1(sK465(X0,X1,X2,X3,X4))
& k7_funct_2(X4,X3,X2,X1,sK465(X0,X1,X2,X3,X4)) = X0 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK465]),skolemize(X5,sK465(X0,X1,X2,X3,X4))],[f10033]) ).
fof(f10082,plain,
! [X0,X1,X2] :
( ( ~ sP28(X0,X1,X2)
| ! [X3] :
( ( ~ r2_hidden(X3,k1_relat_1(X2))
| ? [X4,X5,X6,X7] :
( r2_hidden(k4_tarski(X6,X7),k1_relat_1(X1))
& r2_hidden(k4_tarski(X4,X5),k1_relat_1(X0))
& X3 = k4_tarski(k4_tarski(X4,X6),k4_tarski(X5,X7)) ) )
& ( ! [X4,X5,X6,X7] :
( ~ r2_hidden(k4_tarski(X6,X7),k1_relat_1(X1))
| ~ r2_hidden(k4_tarski(X4,X5),k1_relat_1(X0))
| k4_tarski(k4_tarski(X4,X6),k4_tarski(X5,X7)) != X3 )
| r2_hidden(X3,k1_relat_1(X2)) ) ) )
& ( ? [X3] :
( ( r2_hidden(X3,k1_relat_1(X2))
| ? [X4,X5,X6,X7] :
( r2_hidden(k4_tarski(X6,X7),k1_relat_1(X1))
& r2_hidden(k4_tarski(X4,X5),k1_relat_1(X0))
& X3 = k4_tarski(k4_tarski(X4,X6),k4_tarski(X5,X7)) ) )
& ( ~ r2_hidden(X3,k1_relat_1(X2))
| ! [X4,X5,X6,X7] :
( ~ r2_hidden(k4_tarski(X6,X7),k1_relat_1(X1))
| ~ r2_hidden(k4_tarski(X4,X5),k1_relat_1(X0))
| k4_tarski(k4_tarski(X4,X6),k4_tarski(X5,X7)) != X3 ) ) )
| sP28(X0,X1,X2) ) ),
inference(nnf_transformation,[],[f9256]) ).
fof(f10083,plain,
! [X0,X1,X2] :
( ( ~ sP28(X0,X1,X2)
| ! [X12] :
( ( ~ r2_hidden(X12,k1_relat_1(X2))
| ? [X17,X18,X19,X20] :
( r2_hidden(k4_tarski(X19,X20),k1_relat_1(X1))
& r2_hidden(k4_tarski(X17,X18),k1_relat_1(X0))
& k4_tarski(k4_tarski(X17,X19),k4_tarski(X18,X20)) = X12 ) )
& ( ! [X13,X14,X15,X16] :
( ~ r2_hidden(k4_tarski(X15,X16),k1_relat_1(X1))
| ~ r2_hidden(k4_tarski(X13,X14),k1_relat_1(X0))
| k4_tarski(k4_tarski(X13,X15),k4_tarski(X14,X16)) != X12 )
| r2_hidden(X12,k1_relat_1(X2)) ) ) )
& ( ? [X3] :
( ( r2_hidden(X3,k1_relat_1(X2))
| ? [X8,X9,X10,X11] :
( r2_hidden(k4_tarski(X10,X11),k1_relat_1(X1))
& r2_hidden(k4_tarski(X8,X9),k1_relat_1(X0))
& k4_tarski(k4_tarski(X8,X10),k4_tarski(X9,X11)) = X3 ) )
& ( ~ r2_hidden(X3,k1_relat_1(X2))
| ! [X4,X5,X6,X7] :
( ~ r2_hidden(k4_tarski(X6,X7),k1_relat_1(X1))
| ~ r2_hidden(k4_tarski(X4,X5),k1_relat_1(X0))
| k4_tarski(k4_tarski(X4,X6),k4_tarski(X5,X7)) != X3 ) ) )
| sP28(X0,X1,X2) ) ),
inference(rectify,[],[f10082]) ).
fof(f10084,plain,
! [X0,X1,X2] :
( ( ~ sP28(X0,X1,X2)
| ! [X12] :
( ( ~ r2_hidden(X12,k1_relat_1(X2))
| ( r2_hidden(k4_tarski(sK504(X0,X1,X12),sK505(X0,X1,X12)),k1_relat_1(X1))
& r2_hidden(k4_tarski(sK502(X0,X1,X12),sK503(X0,X1,X12)),k1_relat_1(X0))
& k4_tarski(k4_tarski(sK502(X0,X1,X12),sK504(X0,X1,X12)),k4_tarski(sK503(X0,X1,X12),sK505(X0,X1,X12))) = X12 ) )
& ( ! [X13,X14,X15,X16] :
( ~ r2_hidden(k4_tarski(X15,X16),k1_relat_1(X1))
| ~ r2_hidden(k4_tarski(X13,X14),k1_relat_1(X0))
| k4_tarski(k4_tarski(X13,X15),k4_tarski(X14,X16)) != X12 )
| r2_hidden(X12,k1_relat_1(X2)) ) ) )
& ( ( ( r2_hidden(sK497(X0,X1,X2),k1_relat_1(X2))
| ( r2_hidden(k4_tarski(sK500(X0,X1,X2),sK501(X0,X1,X2)),k1_relat_1(X1))
& r2_hidden(k4_tarski(sK498(X0,X1,X2),sK499(X0,X1,X2)),k1_relat_1(X0))
& sK497(X0,X1,X2) = k4_tarski(k4_tarski(sK498(X0,X1,X2),sK500(X0,X1,X2)),k4_tarski(sK499(X0,X1,X2),sK501(X0,X1,X2))) ) )
& ( ~ r2_hidden(sK497(X0,X1,X2),k1_relat_1(X2))
| ! [X4,X5,X6,X7] :
( ~ r2_hidden(k4_tarski(X6,X7),k1_relat_1(X1))
| ~ r2_hidden(k4_tarski(X4,X5),k1_relat_1(X0))
| k4_tarski(k4_tarski(X4,X6),k4_tarski(X5,X7)) != sK497(X0,X1,X2) ) ) )
| sP28(X0,X1,X2) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK497,sK498,sK499,sK500,sK501,sK502,sK503,sK504,sK505]),skolemize(X3,sK497(X0,X1,X2)),skolemize(X8,sK498(X0,X1,X2)),skolemize(X9,sK499(X0,X1,X2)),skolemize(X10,sK500(X0,X1,X2)),skolemize(X11,sK501(X0,X1,X2)),skolemize(X17,sK502(X0,X1,X12)),skolemize(X18,sK503(X0,X1,X12)),skolemize(X19,sK504(X0,X1,X12)),skolemize(X20,sK505(X0,X1,X12))],[f10083]) ).
fof(f10102,plain,
! [X2,X0,X1] :
( ( ~ sP29(X2,X0,X1)
| ( ! [X4] :
( ~ r2_hidden(X4,k1_relat_1(X1))
| k1_funct_1(X2,X4) = k1_funct_1(X1,X4) )
& ! [X3] :
( ( ~ r2_hidden(X3,k1_relat_1(X1))
| ( r2_hidden(k1_funct_1(X2,X3),X0)
& r2_hidden(X3,k1_relat_1(X2)) ) )
& ( ~ r2_hidden(k1_funct_1(X2,X3),X0)
| ~ r2_hidden(X3,k1_relat_1(X2))
| r2_hidden(X3,k1_relat_1(X1)) ) ) ) )
& ( ? [X4] :
( r2_hidden(X4,k1_relat_1(X1))
& k1_funct_1(X2,X4) != k1_funct_1(X1,X4) )
| ? [X3] :
( ( r2_hidden(X3,k1_relat_1(X1))
| ( r2_hidden(k1_funct_1(X2,X3),X0)
& r2_hidden(X3,k1_relat_1(X2)) ) )
& ( ~ r2_hidden(X3,k1_relat_1(X1))
| ~ r2_hidden(k1_funct_1(X2,X3),X0)
| ~ r2_hidden(X3,k1_relat_1(X2)) ) )
| sP29(X2,X0,X1) ) ),
inference(nnf_transformation,[],[f9258]) ).
fof(f10103,plain,
! [X2,X0,X1] :
( ( ~ sP29(X2,X0,X1)
| ( ! [X4] :
( ~ r2_hidden(X4,k1_relat_1(X1))
| k1_funct_1(X2,X4) = k1_funct_1(X1,X4) )
& ! [X3] :
( ( ~ r2_hidden(X3,k1_relat_1(X1))
| ( r2_hidden(k1_funct_1(X2,X3),X0)
& r2_hidden(X3,k1_relat_1(X2)) ) )
& ( ~ r2_hidden(k1_funct_1(X2,X3),X0)
| ~ r2_hidden(X3,k1_relat_1(X2))
| r2_hidden(X3,k1_relat_1(X1)) ) ) ) )
& ( ? [X4] :
( r2_hidden(X4,k1_relat_1(X1))
& k1_funct_1(X2,X4) != k1_funct_1(X1,X4) )
| ? [X3] :
( ( r2_hidden(X3,k1_relat_1(X1))
| ( r2_hidden(k1_funct_1(X2,X3),X0)
& r2_hidden(X3,k1_relat_1(X2)) ) )
& ( ~ r2_hidden(X3,k1_relat_1(X1))
| ~ r2_hidden(k1_funct_1(X2,X3),X0)
| ~ r2_hidden(X3,k1_relat_1(X2)) ) )
| sP29(X2,X0,X1) ) ),
inference(flattening,[],[f10102]) ).
fof(f10104,plain,
! [X0,X1,X2] :
( ( ~ sP29(X0,X1,X2)
| ( ! [X6] :
( ~ r2_hidden(X6,k1_relat_1(X2))
| k1_funct_1(X0,X6) = k1_funct_1(X2,X6) )
& ! [X5] :
( ( ~ r2_hidden(X5,k1_relat_1(X2))
| ( r2_hidden(k1_funct_1(X0,X5),X1)
& r2_hidden(X5,k1_relat_1(X0)) ) )
& ( ~ r2_hidden(k1_funct_1(X0,X5),X1)
| ~ r2_hidden(X5,k1_relat_1(X0))
| r2_hidden(X5,k1_relat_1(X2)) ) ) ) )
& ( ? [X4] :
( r2_hidden(X4,k1_relat_1(X2))
& k1_funct_1(X0,X4) != k1_funct_1(X2,X4) )
| ? [X3] :
( ( r2_hidden(X3,k1_relat_1(X2))
| ( r2_hidden(k1_funct_1(X0,X3),X1)
& r2_hidden(X3,k1_relat_1(X0)) ) )
& ( ~ r2_hidden(X3,k1_relat_1(X2))
| ~ r2_hidden(k1_funct_1(X0,X3),X1)
| ~ r2_hidden(X3,k1_relat_1(X0)) ) )
| sP29(X0,X1,X2) ) ),
inference(rectify,[],[f10103]) ).
fof(f10105,plain,
! [X0,X1,X2] :
( ( ~ sP29(X0,X1,X2)
| ( ! [X6] :
( ~ r2_hidden(X6,k1_relat_1(X2))
| k1_funct_1(X0,X6) = k1_funct_1(X2,X6) )
& ! [X5] :
( ( ~ r2_hidden(X5,k1_relat_1(X2))
| ( r2_hidden(k1_funct_1(X0,X5),X1)
& r2_hidden(X5,k1_relat_1(X0)) ) )
& ( ~ r2_hidden(k1_funct_1(X0,X5),X1)
| ~ r2_hidden(X5,k1_relat_1(X0))
| r2_hidden(X5,k1_relat_1(X2)) ) ) ) )
& ( ( r2_hidden(sK519(X0,X2),k1_relat_1(X2))
& k1_funct_1(X0,sK519(X0,X2)) != k1_funct_1(X2,sK519(X0,X2)) )
| ( ( r2_hidden(sK518(X0,X1,X2),k1_relat_1(X2))
| ( r2_hidden(k1_funct_1(X0,sK518(X0,X1,X2)),X1)
& r2_hidden(sK518(X0,X1,X2),k1_relat_1(X0)) ) )
& ( ~ r2_hidden(sK518(X0,X1,X2),k1_relat_1(X2))
| ~ r2_hidden(k1_funct_1(X0,sK518(X0,X1,X2)),X1)
| ~ r2_hidden(sK518(X0,X1,X2),k1_relat_1(X0)) ) )
| sP29(X0,X1,X2) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK518,sK519]),skolemize(X3,sK518(X0,X1,X2)),skolemize(X4,sK519(X0,X2))],[f10104]) ).
fof(f10130,plain,
! [X0] :
( ( ~ sP31(X0)
| ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| ! [X3] :
( ~ m1_subset_1(X3,u1_struct_0(X0))
| ( ? [X4] :
( k2_rlvect_1(X0,X1,X4) = k1_rlvect_1(X0)
& m1_subset_1(X4,u1_struct_0(X0)) )
& k2_rlvect_1(X0,X1,k1_rlvect_1(X0)) = X1
& k2_rlvect_1(X0,k2_rlvect_1(X0,X1,X2),X3) = k2_rlvect_1(X0,X1,k2_rlvect_1(X0,X2,X3))
& k2_rlvect_1(X0,X1,X2) = k2_rlvect_1(X0,X2,X1) ) ) ) ) )
& ( ? [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
& ? [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
& ? [X3] :
( m1_subset_1(X3,u1_struct_0(X0))
& ( ! [X4] :
( k1_rlvect_1(X0) != k2_rlvect_1(X0,X1,X4)
| ~ m1_subset_1(X4,u1_struct_0(X0)) )
| k2_rlvect_1(X0,X1,k1_rlvect_1(X0)) != X1
| k2_rlvect_1(X0,k2_rlvect_1(X0,X1,X2),X3) != k2_rlvect_1(X0,X1,k2_rlvect_1(X0,X2,X3))
| k2_rlvect_1(X0,X1,X2) != k2_rlvect_1(X0,X2,X1) ) ) ) )
| sP31(X0) ) ),
inference(nnf_transformation,[],[f9261]) ).
fof(f10131,plain,
! [X0] :
( ( ~ sP31(X0)
| ! [X5] :
( ~ m1_subset_1(X5,u1_struct_0(X0))
| ! [X6] :
( ~ m1_subset_1(X6,u1_struct_0(X0))
| ! [X7] :
( ~ m1_subset_1(X7,u1_struct_0(X0))
| ( ? [X8] :
( k1_rlvect_1(X0) = k2_rlvect_1(X0,X5,X8)
& m1_subset_1(X8,u1_struct_0(X0)) )
& k2_rlvect_1(X0,X5,k1_rlvect_1(X0)) = X5
& k2_rlvect_1(X0,k2_rlvect_1(X0,X5,X6),X7) = k2_rlvect_1(X0,X5,k2_rlvect_1(X0,X6,X7))
& k2_rlvect_1(X0,X5,X6) = k2_rlvect_1(X0,X6,X5) ) ) ) ) )
& ( ? [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
& ? [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
& ? [X3] :
( m1_subset_1(X3,u1_struct_0(X0))
& ( ! [X4] :
( k1_rlvect_1(X0) != k2_rlvect_1(X0,X1,X4)
| ~ m1_subset_1(X4,u1_struct_0(X0)) )
| k2_rlvect_1(X0,X1,k1_rlvect_1(X0)) != X1
| k2_rlvect_1(X0,k2_rlvect_1(X0,X1,X2),X3) != k2_rlvect_1(X0,X1,k2_rlvect_1(X0,X2,X3))
| k2_rlvect_1(X0,X1,X2) != k2_rlvect_1(X0,X2,X1) ) ) ) )
| sP31(X0) ) ),
inference(rectify,[],[f10130]) ).
fof(f10132,plain,
! [X0] :
( ( ~ sP31(X0)
| ! [X5] :
( ~ m1_subset_1(X5,u1_struct_0(X0))
| ! [X6] :
( ~ m1_subset_1(X6,u1_struct_0(X0))
| ! [X7] :
( ~ m1_subset_1(X7,u1_struct_0(X0))
| ( k1_rlvect_1(X0) = k2_rlvect_1(X0,X5,sK534(X0,X5))
& m1_subset_1(sK534(X0,X5),u1_struct_0(X0))
& k2_rlvect_1(X0,X5,k1_rlvect_1(X0)) = X5
& k2_rlvect_1(X0,k2_rlvect_1(X0,X5,X6),X7) = k2_rlvect_1(X0,X5,k2_rlvect_1(X0,X6,X7))
& k2_rlvect_1(X0,X5,X6) = k2_rlvect_1(X0,X6,X5) ) ) ) ) )
& ( ( m1_subset_1(sK531(X0),u1_struct_0(X0))
& m1_subset_1(sK532(X0),u1_struct_0(X0))
& m1_subset_1(sK533(X0),u1_struct_0(X0))
& ( ! [X4] :
( k1_rlvect_1(X0) != k2_rlvect_1(X0,sK531(X0),X4)
| ~ m1_subset_1(X4,u1_struct_0(X0)) )
| sK531(X0) != k2_rlvect_1(X0,sK531(X0),k1_rlvect_1(X0))
| k2_rlvect_1(X0,k2_rlvect_1(X0,sK531(X0),sK532(X0)),sK533(X0)) != k2_rlvect_1(X0,sK531(X0),k2_rlvect_1(X0,sK532(X0),sK533(X0)))
| k2_rlvect_1(X0,sK531(X0),sK532(X0)) != k2_rlvect_1(X0,sK532(X0),sK531(X0)) ) )
| sP31(X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK531,sK532,sK533,sK534]),skolemize(X1,sK531(X0)),skolemize(X2,sK532(X0)),skolemize(X3,sK533(X0)),skolemize(X8,sK534(X0,X5))],[f10131]) ).
fof(f10190,plain,
! [X0,X1,X2,X3,X4] :
( ( ~ sP33(X0,X1,X2,X3,X4)
| ! [X5] :
( ( ~ r2_hidden(X5,X4)
| X3 = X5
| X2 = X5
| X1 = X5
| X0 = X5 )
& ( ( X3 != X5
& X2 != X5
& X1 != X5
& X0 != X5 )
| r2_hidden(X5,X4) ) ) )
& ( ? [X5] :
( ( r2_hidden(X5,X4)
| X3 = X5
| X2 = X5
| X1 = X5
| X0 = X5 )
& ( ~ r2_hidden(X5,X4)
| ( X3 != X5
& X2 != X5
& X1 != X5
& X0 != X5 ) ) )
| sP33(X0,X1,X2,X3,X4) ) ),
inference(nnf_transformation,[],[f9264]) ).
fof(f10191,plain,
! [X0,X1,X2,X3,X4] :
( ( ~ sP33(X0,X1,X2,X3,X4)
| ! [X5] :
( ( ~ r2_hidden(X5,X4)
| X3 = X5
| X2 = X5
| X1 = X5
| X0 = X5 )
& ( ( X3 != X5
& X2 != X5
& X1 != X5
& X0 != X5 )
| r2_hidden(X5,X4) ) ) )
& ( ? [X5] :
( ( r2_hidden(X5,X4)
| X3 = X5
| X2 = X5
| X1 = X5
| X0 = X5 )
& ( ~ r2_hidden(X5,X4)
| ( X3 != X5
& X2 != X5
& X1 != X5
& X0 != X5 ) ) )
| sP33(X0,X1,X2,X3,X4) ) ),
inference(flattening,[],[f10190]) ).
fof(f10192,plain,
! [X0,X1,X2,X3,X4] :
( ( ~ sP33(X0,X1,X2,X3,X4)
| ! [X6] :
( ( ~ r2_hidden(X6,X4)
| X3 = X6
| X2 = X6
| X1 = X6
| X0 = X6 )
& ( ( X3 != X6
& X2 != X6
& X1 != X6
& X0 != X6 )
| r2_hidden(X6,X4) ) ) )
& ( ? [X5] :
( ( r2_hidden(X5,X4)
| X3 = X5
| X2 = X5
| X1 = X5
| X0 = X5 )
& ( ~ r2_hidden(X5,X4)
| ( X3 != X5
& X2 != X5
& X1 != X5
& X0 != X5 ) ) )
| sP33(X0,X1,X2,X3,X4) ) ),
inference(rectify,[],[f10191]) ).
fof(f10193,plain,
! [X0,X1,X2,X3,X4] :
( ( ~ sP33(X0,X1,X2,X3,X4)
| ! [X6] :
( ( ~ r2_hidden(X6,X4)
| X3 = X6
| X2 = X6
| X1 = X6
| X0 = X6 )
& ( ( X3 != X6
& X2 != X6
& X1 != X6
& X0 != X6 )
| r2_hidden(X6,X4) ) ) )
& ( ( ( r2_hidden(sK560(X0,X1,X2,X3,X4),X4)
| sK560(X0,X1,X2,X3,X4) = X3
| sK560(X0,X1,X2,X3,X4) = X2
| sK560(X0,X1,X2,X3,X4) = X1
| sK560(X0,X1,X2,X3,X4) = X0 )
& ( ~ r2_hidden(sK560(X0,X1,X2,X3,X4),X4)
| ( sK560(X0,X1,X2,X3,X4) != X3
& sK560(X0,X1,X2,X3,X4) != X2
& sK560(X0,X1,X2,X3,X4) != X1
& sK560(X0,X1,X2,X3,X4) != X0 ) ) )
| sP33(X0,X1,X2,X3,X4) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK560]),skolemize(X5,sK560(X0,X1,X2,X3,X4))],[f10192]) ).
fof(f10207,plain,
! [X0,X2,X1] :
( ( ~ sP34(X0,X2,X1)
| ? [X3] :
( ! [X4] :
( ~ m2_subset_1(X4,k1_numbers,k5_numbers)
| ! [X5] :
( ~ m1_subset_1(X5,u1_struct_0(X0))
| k1_funct_1(X1,k1_nat_1(X4,np__1)) != X5
| k8_funct_2(k5_numbers,u1_struct_0(X0),X3,k1_nat_1(X4,np__1)) = k2_rlvect_1(X0,k8_funct_2(k5_numbers,u1_struct_0(X0),X3,X4),X5)
| r1_xreal_0(k3_finseq_1(X1),X4) ) )
& k8_funct_2(k5_numbers,u1_struct_0(X0),X3,np__0) = k1_rlvect_1(X0)
& X2 = k8_funct_2(k5_numbers,u1_struct_0(X0),X3,k3_finseq_1(X1))
& m2_relset_1(X3,k5_numbers,u1_struct_0(X0))
& v1_funct_2(X3,k5_numbers,u1_struct_0(X0))
& v1_funct_1(X3) ) )
& ( ! [X3] :
( ? [X4] :
( m2_subset_1(X4,k1_numbers,k5_numbers)
& ? [X5] :
( m1_subset_1(X5,u1_struct_0(X0))
& k1_funct_1(X1,k1_nat_1(X4,np__1)) = X5
& k8_funct_2(k5_numbers,u1_struct_0(X0),X3,k1_nat_1(X4,np__1)) != k2_rlvect_1(X0,k8_funct_2(k5_numbers,u1_struct_0(X0),X3,X4),X5)
& ~ r1_xreal_0(k3_finseq_1(X1),X4) ) )
| k1_rlvect_1(X0) != k8_funct_2(k5_numbers,u1_struct_0(X0),X3,np__0)
| k8_funct_2(k5_numbers,u1_struct_0(X0),X3,k3_finseq_1(X1)) != X2
| ~ m2_relset_1(X3,k5_numbers,u1_struct_0(X0))
| ~ v1_funct_2(X3,k5_numbers,u1_struct_0(X0))
| ~ v1_funct_1(X3) )
| sP34(X0,X2,X1) ) ),
inference(nnf_transformation,[],[f9266]) ).
fof(f10208,plain,
! [X0,X1,X2] :
( ( ~ sP34(X0,X1,X2)
| ? [X6] :
( ! [X7] :
( ~ m2_subset_1(X7,k1_numbers,k5_numbers)
| ! [X8] :
( ~ m1_subset_1(X8,u1_struct_0(X0))
| k1_funct_1(X2,k1_nat_1(X7,np__1)) != X8
| k8_funct_2(k5_numbers,u1_struct_0(X0),X6,k1_nat_1(X7,np__1)) = k2_rlvect_1(X0,k8_funct_2(k5_numbers,u1_struct_0(X0),X6,X7),X8)
| r1_xreal_0(k3_finseq_1(X2),X7) ) )
& k1_rlvect_1(X0) = k8_funct_2(k5_numbers,u1_struct_0(X0),X6,np__0)
& k8_funct_2(k5_numbers,u1_struct_0(X0),X6,k3_finseq_1(X2)) = X1
& m2_relset_1(X6,k5_numbers,u1_struct_0(X0))
& v1_funct_2(X6,k5_numbers,u1_struct_0(X0))
& v1_funct_1(X6) ) )
& ( ! [X3] :
( ? [X4] :
( m2_subset_1(X4,k1_numbers,k5_numbers)
& ? [X5] :
( m1_subset_1(X5,u1_struct_0(X0))
& k1_funct_1(X2,k1_nat_1(X4,np__1)) = X5
& k8_funct_2(k5_numbers,u1_struct_0(X0),X3,k1_nat_1(X4,np__1)) != k2_rlvect_1(X0,k8_funct_2(k5_numbers,u1_struct_0(X0),X3,X4),X5)
& ~ r1_xreal_0(k3_finseq_1(X2),X4) ) )
| k1_rlvect_1(X0) != k8_funct_2(k5_numbers,u1_struct_0(X0),X3,np__0)
| k8_funct_2(k5_numbers,u1_struct_0(X0),X3,k3_finseq_1(X2)) != X1
| ~ m2_relset_1(X3,k5_numbers,u1_struct_0(X0))
| ~ v1_funct_2(X3,k5_numbers,u1_struct_0(X0))
| ~ v1_funct_1(X3) )
| sP34(X0,X1,X2) ) ),
inference(rectify,[],[f10207]) ).
fof(f10209,plain,
! [X0,X1,X2] :
( ( ~ sP34(X0,X1,X2)
| ( ! [X7] :
( ~ m2_subset_1(X7,k1_numbers,k5_numbers)
| ! [X8] :
( ~ m1_subset_1(X8,u1_struct_0(X0))
| k1_funct_1(X2,k1_nat_1(X7,np__1)) != X8
| k8_funct_2(k5_numbers,u1_struct_0(X0),sK567(X0,X1,X2),k1_nat_1(X7,np__1)) = k2_rlvect_1(X0,k8_funct_2(k5_numbers,u1_struct_0(X0),sK567(X0,X1,X2),X7),X8)
| r1_xreal_0(k3_finseq_1(X2),X7) ) )
& k1_rlvect_1(X0) = k8_funct_2(k5_numbers,u1_struct_0(X0),sK567(X0,X1,X2),np__0)
& k8_funct_2(k5_numbers,u1_struct_0(X0),sK567(X0,X1,X2),k3_finseq_1(X2)) = X1
& m2_relset_1(sK567(X0,X1,X2),k5_numbers,u1_struct_0(X0))
& v1_funct_2(sK567(X0,X1,X2),k5_numbers,u1_struct_0(X0))
& v1_funct_1(sK567(X0,X1,X2)) ) )
& ( ! [X3] :
( ( m2_subset_1(sK565(X0,X2,X3),k1_numbers,k5_numbers)
& m1_subset_1(sK566(X0,X2,X3),u1_struct_0(X0))
& sK566(X0,X2,X3) = k1_funct_1(X2,k1_nat_1(sK565(X0,X2,X3),np__1))
& k8_funct_2(k5_numbers,u1_struct_0(X0),X3,k1_nat_1(sK565(X0,X2,X3),np__1)) != k2_rlvect_1(X0,k8_funct_2(k5_numbers,u1_struct_0(X0),X3,sK565(X0,X2,X3)),sK566(X0,X2,X3))
& ~ r1_xreal_0(k3_finseq_1(X2),sK565(X0,X2,X3)) )
| k1_rlvect_1(X0) != k8_funct_2(k5_numbers,u1_struct_0(X0),X3,np__0)
| k8_funct_2(k5_numbers,u1_struct_0(X0),X3,k3_finseq_1(X2)) != X1
| ~ m2_relset_1(X3,k5_numbers,u1_struct_0(X0))
| ~ v1_funct_2(X3,k5_numbers,u1_struct_0(X0))
| ~ v1_funct_1(X3) )
| sP34(X0,X1,X2) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK565,sK566,sK567]),skolemize(X4,sK565(X0,X2,X3)),skolemize(X5,sK566(X0,X2,X3)),skolemize(X6,sK567(X0,X1,X2))],[f10208]) ).
fof(f10215,plain,
! [X2,X3] :
( ( ~ sP36(X2,X3)
| ! [X4] :
( ~ m2_subset_1(X4,k1_numbers,k5_numbers)
| ? [X5] :
( m1_subset_1(X5,k8_qc_lang1)
& ? [X6] :
( m1_subset_1(X6,k8_qc_lang1)
& r1_qc_lang2(X5,X6)
& k1_funct_1(X3,k1_nat_1(X4,np__1)) = X6
& k1_funct_1(X3,X4) = X5 ) )
| r1_xreal_0(X2,X4)
| ~ r1_xreal_0(np__1,X4) ) )
& ( ? [X4] :
( m2_subset_1(X4,k1_numbers,k5_numbers)
& ! [X5] :
( ~ m1_subset_1(X5,k8_qc_lang1)
| ! [X6] :
( ~ m1_subset_1(X6,k8_qc_lang1)
| ~ r1_qc_lang2(X5,X6)
| k1_funct_1(X3,k1_nat_1(X4,np__1)) != X6
| k1_funct_1(X3,X4) != X5 ) )
& ~ r1_xreal_0(X2,X4)
& r1_xreal_0(np__1,X4) )
| sP36(X2,X3) ) ),
inference(nnf_transformation,[],[f9269]) ).
fof(f10216,plain,
! [X0,X1] :
( ( ~ sP36(X0,X1)
| ! [X5] :
( ~ m2_subset_1(X5,k1_numbers,k5_numbers)
| ? [X6] :
( m1_subset_1(X6,k8_qc_lang1)
& ? [X7] :
( m1_subset_1(X7,k8_qc_lang1)
& r1_qc_lang2(X6,X7)
& k1_funct_1(X1,k1_nat_1(X5,np__1)) = X7
& k1_funct_1(X1,X5) = X6 ) )
| r1_xreal_0(X0,X5)
| ~ r1_xreal_0(np__1,X5) ) )
& ( ? [X2] :
( m2_subset_1(X2,k1_numbers,k5_numbers)
& ! [X3] :
( ~ m1_subset_1(X3,k8_qc_lang1)
| ! [X4] :
( ~ m1_subset_1(X4,k8_qc_lang1)
| ~ r1_qc_lang2(X3,X4)
| k1_funct_1(X1,k1_nat_1(X2,np__1)) != X4
| k1_funct_1(X1,X2) != X3 ) )
& ~ r1_xreal_0(X0,X2)
& r1_xreal_0(np__1,X2) )
| sP36(X0,X1) ) ),
inference(rectify,[],[f10215]) ).
fof(f10217,plain,
! [X0,X1] :
( ( ~ sP36(X0,X1)
| ! [X5] :
( ~ m2_subset_1(X5,k1_numbers,k5_numbers)
| ( m1_subset_1(sK571(X1,X5),k8_qc_lang1)
& m1_subset_1(sK572(X1,X5),k8_qc_lang1)
& r1_qc_lang2(sK571(X1,X5),sK572(X1,X5))
& k1_funct_1(X1,k1_nat_1(X5,np__1)) = sK572(X1,X5)
& k1_funct_1(X1,X5) = sK571(X1,X5) )
| r1_xreal_0(X0,X5)
| ~ r1_xreal_0(np__1,X5) ) )
& ( ( m2_subset_1(sK570(X0,X1),k1_numbers,k5_numbers)
& ! [X3] :
( ~ m1_subset_1(X3,k8_qc_lang1)
| ! [X4] :
( ~ m1_subset_1(X4,k8_qc_lang1)
| ~ r1_qc_lang2(X3,X4)
| k1_funct_1(X1,k1_nat_1(sK570(X0,X1),np__1)) != X4
| k1_funct_1(X1,sK570(X0,X1)) != X3 ) )
& ~ r1_xreal_0(X0,sK570(X0,X1))
& r1_xreal_0(np__1,sK570(X0,X1)) )
| sP36(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK570,sK571,sK572]),skolemize(X2,sK570(X0,X1)),skolemize(X6,sK571(X1,X5)),skolemize(X7,sK572(X1,X5))],[f10216]) ).
fof(f10367,plain,
! [X2,X0,X1] :
( ~ sP0(X0,X1,X2)
| g3_lattices(X0,sK53(X0,X1,X2),sK54(X0,X1,X2)) = X2 ),
inference(cnf_transformation,[],[f9311]) ).
fof(f10368,plain,
! [X2,X0,X1] :
( ~ sP0(X0,X1,X2)
| k1_realset1(u1_lattices(X1),X0) = sK54(X0,X1,X2) ),
inference(cnf_transformation,[],[f9311]) ).
fof(f10369,plain,
! [X2,X0,X1] :
( ~ sP0(X0,X1,X2)
| k1_realset1(u2_lattices(X1),X0) = sK53(X0,X1,X2) ),
inference(cnf_transformation,[],[f9311]) ).
fof(f10370,plain,
! [X2,X0,X1] :
( ~ sP0(X0,X1,X2)
| m2_relset_1(sK54(X0,X1,X2),k2_zfmisc_1(X0,X0),X0) ),
inference(cnf_transformation,[],[f9311]) ).
fof(f10371,plain,
! [X2,X0,X1] :
( ~ sP0(X0,X1,X2)
| v1_funct_2(sK54(X0,X1,X2),k2_zfmisc_1(X0,X0),X0) ),
inference(cnf_transformation,[],[f9311]) ).
fof(f10372,plain,
! [X2,X0,X1] :
( ~ sP0(X0,X1,X2)
| v1_funct_1(sK54(X0,X1,X2)) ),
inference(cnf_transformation,[],[f9311]) ).
fof(f10373,plain,
! [X2,X0,X1] :
( ~ sP0(X0,X1,X2)
| m2_relset_1(sK53(X0,X1,X2),k2_zfmisc_1(X0,X0),X0) ),
inference(cnf_transformation,[],[f9311]) ).
fof(f10374,plain,
! [X2,X0,X1] :
( ~ sP0(X0,X1,X2)
| v1_funct_2(sK53(X0,X1,X2),k2_zfmisc_1(X0,X0),X0) ),
inference(cnf_transformation,[],[f9311]) ).
fof(f10375,plain,
! [X2,X0,X1] :
( ~ sP0(X0,X1,X2)
| v1_funct_1(sK53(X0,X1,X2)) ),
inference(cnf_transformation,[],[f9311]) ).
fof(f10376,plain,
! [X2,X3,X0,X1,X4] :
( g3_lattices(X0,X3,X4) != X2
| k1_realset1(u1_lattices(X1),X0) != X4
| k1_realset1(u2_lattices(X1),X0) != X3
| ~ m2_relset_1(X4,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X4,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X4)
| ~ m2_relset_1(X3,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X3,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X3)
| sP0(X0,X1,X2) ),
inference(cnf_transformation,[],[f9311]) ).
fof(f10378,plain,
! [X0,X1] :
( ~ sP2(X0,X1)
| v10_lattices(k8_filter_0(X1,X0)) ),
inference(cnf_transformation,[],[f9313]) ).
fof(f10379,plain,
! [X0,X1] :
( ~ sP2(X0,X1)
| v9_lattices(k8_filter_0(X1,X0)) ),
inference(cnf_transformation,[],[f9313]) ).
fof(f10380,plain,
! [X0,X1] :
( ~ sP2(X0,X1)
| v8_lattices(k8_filter_0(X1,X0)) ),
inference(cnf_transformation,[],[f9313]) ).
fof(f10381,plain,
! [X0,X1] :
( ~ sP2(X0,X1)
| v7_lattices(k8_filter_0(X1,X0)) ),
inference(cnf_transformation,[],[f9313]) ).
fof(f10382,plain,
! [X0,X1] :
( ~ sP2(X0,X1)
| v6_lattices(k8_filter_0(X1,X0)) ),
inference(cnf_transformation,[],[f9313]) ).
fof(f10383,plain,
! [X0,X1] :
( ~ sP2(X0,X1)
| v5_lattices(k8_filter_0(X1,X0)) ),
inference(cnf_transformation,[],[f9313]) ).
fof(f10384,plain,
! [X0,X1] :
( ~ sP2(X0,X1)
| v4_lattices(k8_filter_0(X1,X0)) ),
inference(cnf_transformation,[],[f9313]) ).
fof(f10385,plain,
! [X0,X1] :
( ~ sP2(X0,X1)
| v3_lattices(k8_filter_0(X1,X0)) ),
inference(cnf_transformation,[],[f9313]) ).
fof(f10386,plain,
! [X0,X1] :
( ~ sP2(X0,X1)
| ~ v3_struct_0(k8_filter_0(X1,X0)) ),
inference(cnf_transformation,[],[f9313]) ).
fof(f10408,plain,
! [X0,X1] :
( ~ sP3(X0,X1)
| l3_lattices(X1) ),
inference(cnf_transformation,[],[f9321]) ).
fof(f10409,plain,
! [X0,X1] :
( ~ sP3(X0,X1)
| v17_lattices(X1) ),
inference(cnf_transformation,[],[f9321]) ).
fof(f10410,plain,
! [X0,X1] :
( ~ sP3(X0,X1)
| v10_lattices(X1) ),
inference(cnf_transformation,[],[f9321]) ).
fof(f10411,plain,
! [X0,X1] :
( ~ sP3(X0,X1)
| ~ v3_struct_0(X1) ),
inference(cnf_transformation,[],[f9321]) ).
fof(f10412,plain,
! [X0,X1] :
( ~ sP3(X0,X1)
| l3_lattices(X0) ),
inference(cnf_transformation,[],[f9321]) ).
fof(f10413,plain,
! [X0,X1] :
( ~ sP3(X0,X1)
| v17_lattices(X0) ),
inference(cnf_transformation,[],[f9321]) ).
fof(f10414,plain,
! [X0,X1] :
( ~ sP3(X0,X1)
| v10_lattices(X0) ),
inference(cnf_transformation,[],[f9321]) ).
fof(f10415,plain,
! [X0,X1] :
( ~ sP3(X0,X1)
| ~ v3_struct_0(X0) ),
inference(cnf_transformation,[],[f9321]) ).
fof(f10416,plain,
! [X0,X1] :
( ~ l3_lattices(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| sP3(X0,X1) ),
inference(cnf_transformation,[],[f9321]) ).
fof(f10432,plain,
! [X0,X1] :
( ~ sP5(X0,X1)
| l3_lattices(X1) ),
inference(cnf_transformation,[],[f9332]) ).
fof(f10433,plain,
! [X0,X1] :
( ~ sP5(X0,X1)
| v11_lattices(X1) ),
inference(cnf_transformation,[],[f9332]) ).
fof(f10434,plain,
! [X0,X1] :
( ~ sP5(X0,X1)
| v10_lattices(X1) ),
inference(cnf_transformation,[],[f9332]) ).
fof(f10435,plain,
! [X0,X1] :
( ~ sP5(X0,X1)
| ~ v3_struct_0(X1) ),
inference(cnf_transformation,[],[f9332]) ).
fof(f10436,plain,
! [X0,X1] :
( ~ sP5(X0,X1)
| l3_lattices(X0) ),
inference(cnf_transformation,[],[f9332]) ).
fof(f10437,plain,
! [X0,X1] :
( ~ sP5(X0,X1)
| v11_lattices(X0) ),
inference(cnf_transformation,[],[f9332]) ).
fof(f10438,plain,
! [X0,X1] :
( ~ sP5(X0,X1)
| v10_lattices(X0) ),
inference(cnf_transformation,[],[f9332]) ).
fof(f10439,plain,
! [X0,X1] :
( ~ sP5(X0,X1)
| ~ v3_struct_0(X0) ),
inference(cnf_transformation,[],[f9332]) ).
fof(f10440,plain,
! [X0,X1] :
( ~ l3_lattices(X1)
| ~ v11_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ~ l3_lattices(X0)
| ~ v11_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| sP5(X0,X1) ),
inference(cnf_transformation,[],[f9332]) ).
fof(f10448,plain,
! [X0,X1] :
( ~ sP7(X0,X1)
| v10_lattices(k8_filter_1(X1,X0)) ),
inference(cnf_transformation,[],[f9334]) ).
fof(f10449,plain,
! [X0,X1] :
( ~ sP7(X0,X1)
| v9_lattices(k8_filter_1(X1,X0)) ),
inference(cnf_transformation,[],[f9334]) ).
fof(f10450,plain,
! [X0,X1] :
( ~ sP7(X0,X1)
| v8_lattices(k8_filter_1(X1,X0)) ),
inference(cnf_transformation,[],[f9334]) ).
fof(f10451,plain,
! [X0,X1] :
( ~ sP7(X0,X1)
| v7_lattices(k8_filter_1(X1,X0)) ),
inference(cnf_transformation,[],[f9334]) ).
fof(f10452,plain,
! [X0,X1] :
( ~ sP7(X0,X1)
| v6_lattices(k8_filter_1(X1,X0)) ),
inference(cnf_transformation,[],[f9334]) ).
fof(f10453,plain,
! [X0,X1] :
( ~ sP7(X0,X1)
| v5_lattices(k8_filter_1(X1,X0)) ),
inference(cnf_transformation,[],[f9334]) ).
fof(f10454,plain,
! [X0,X1] :
( ~ sP7(X0,X1)
| v4_lattices(k8_filter_1(X1,X0)) ),
inference(cnf_transformation,[],[f9334]) ).
fof(f10455,plain,
! [X0,X1] :
( ~ sP7(X0,X1)
| v3_lattices(k8_filter_1(X1,X0)) ),
inference(cnf_transformation,[],[f9334]) ).
fof(f10456,plain,
! [X0,X1] :
( ~ sP7(X0,X1)
| ~ v3_struct_0(k8_filter_1(X1,X0)) ),
inference(cnf_transformation,[],[f9334]) ).
fof(f10608,plain,
! [X0,X1,X4,X5] :
( ~ sP8(X0,X1)
| ~ m1_subset_1(X4,u1_struct_0(X1))
| ~ m1_subset_1(X5,u1_struct_0(X1))
| ~ r3_lattices(X1,X4,X5)
| ~ r2_hidden(X4,X0)
| r2_hidden(X5,X0) ),
inference(cnf_transformation,[],[f9351]) ).
fof(f10609,plain,
! [X0,X1] :
( m1_subset_1(sK64(X0,X1),u1_struct_0(X1))
| sP8(X0,X1) ),
inference(cnf_transformation,[],[f9351]) ).
fof(f10610,plain,
! [X0,X1] :
( m1_subset_1(sK65(X0,X1),u1_struct_0(X1))
| sP8(X0,X1) ),
inference(cnf_transformation,[],[f9351]) ).
fof(f10611,plain,
! [X0,X1] :
( r3_lattices(X1,sK64(X0,X1),sK65(X0,X1))
| sP8(X0,X1) ),
inference(cnf_transformation,[],[f9351]) ).
fof(f10612,plain,
! [X0,X1] :
( r2_hidden(sK64(X0,X1),X0)
| sP8(X0,X1) ),
inference(cnf_transformation,[],[f9351]) ).
fof(f10613,plain,
! [X0,X1] :
( ~ r2_hidden(sK65(X0,X1),X0)
| sP8(X0,X1) ),
inference(cnf_transformation,[],[f9351]) ).
fof(f10962,plain,
! [X0] :
( ~ sP9(X0)
| r2_hidden(k4_tarski(sK130(X0),sK132(X0)),X0) ),
inference(cnf_transformation,[],[f9432]) ).
fof(f10963,plain,
! [X0] :
( ~ sP9(X0)
| r2_hidden(k4_tarski(sK130(X0),sK131(X0)),X0) ),
inference(cnf_transformation,[],[f9432]) ).
fof(f10964,plain,
! [X0] :
( ~ sP9(X0)
| sK131(X0) != sK132(X0) ),
inference(cnf_transformation,[],[f9432]) ).
fof(f11073,plain,
! [X0,X1] :
( ~ sP10(X0,X1)
| l3_lattices(X1) ),
inference(cnf_transformation,[],[f9488]) ).
fof(f11074,plain,
! [X0,X1] :
( ~ sP10(X0,X1)
| v16_lattices(X1) ),
inference(cnf_transformation,[],[f9488]) ).
fof(f11075,plain,
! [X0,X1] :
( ~ sP10(X0,X1)
| v15_lattices(X1) ),
inference(cnf_transformation,[],[f9488]) ).
fof(f11076,plain,
! [X0,X1] :
( ~ sP10(X0,X1)
| v10_lattices(X1) ),
inference(cnf_transformation,[],[f9488]) ).
fof(f11077,plain,
! [X0,X1] :
( ~ sP10(X0,X1)
| ~ v3_struct_0(X1) ),
inference(cnf_transformation,[],[f9488]) ).
fof(f11078,plain,
! [X0,X1] :
( ~ sP10(X0,X1)
| l3_lattices(X0) ),
inference(cnf_transformation,[],[f9488]) ).
fof(f11079,plain,
! [X0,X1] :
( ~ sP10(X0,X1)
| v16_lattices(X0) ),
inference(cnf_transformation,[],[f9488]) ).
fof(f11080,plain,
! [X0,X1] :
( ~ sP10(X0,X1)
| v15_lattices(X0) ),
inference(cnf_transformation,[],[f9488]) ).
fof(f11081,plain,
! [X0,X1] :
( ~ sP10(X0,X1)
| v10_lattices(X0) ),
inference(cnf_transformation,[],[f9488]) ).
fof(f11082,plain,
! [X0,X1] :
( ~ sP10(X0,X1)
| ~ v3_struct_0(X0) ),
inference(cnf_transformation,[],[f9488]) ).
fof(f11083,plain,
! [X0,X1] :
( ~ l3_lattices(X1)
| ~ v16_lattices(X1)
| ~ v15_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ~ l3_lattices(X0)
| ~ v16_lattices(X0)
| ~ v15_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| sP10(X0,X1) ),
inference(cnf_transformation,[],[f9488]) ).
fof(f11085,plain,
! [X0] :
( ~ sP12(X0)
| v15_lattices(X0) ),
inference(cnf_transformation,[],[f9489]) ).
fof(f11239,plain,
! [X0] :
( ~ sP13(X0)
| v10_lattices(k1_lattice2(X0)) ),
inference(cnf_transformation,[],[f9504]) ).
fof(f11240,plain,
! [X0] :
( ~ sP13(X0)
| v9_lattices(k1_lattice2(X0)) ),
inference(cnf_transformation,[],[f9504]) ).
fof(f11241,plain,
! [X0] :
( ~ sP13(X0)
| v8_lattices(k1_lattice2(X0)) ),
inference(cnf_transformation,[],[f9504]) ).
fof(f11242,plain,
! [X0] :
( ~ sP13(X0)
| v7_lattices(k1_lattice2(X0)) ),
inference(cnf_transformation,[],[f9504]) ).
fof(f11243,plain,
! [X0] :
( ~ sP13(X0)
| v6_lattices(k1_lattice2(X0)) ),
inference(cnf_transformation,[],[f9504]) ).
fof(f11244,plain,
! [X0] :
( ~ sP13(X0)
| v5_lattices(k1_lattice2(X0)) ),
inference(cnf_transformation,[],[f9504]) ).
fof(f11245,plain,
! [X0] :
( ~ sP13(X0)
| v4_lattices(k1_lattice2(X0)) ),
inference(cnf_transformation,[],[f9504]) ).
fof(f11246,plain,
! [X0] :
( ~ sP13(X0)
| v3_lattices(k1_lattice2(X0)) ),
inference(cnf_transformation,[],[f9504]) ).
fof(f11247,plain,
! [X0] :
( ~ sP13(X0)
| ~ v3_struct_0(k1_lattice2(X0)) ),
inference(cnf_transformation,[],[f9504]) ).
fof(f11410,plain,
! [X0,X1,X5] :
( ~ sP14(X0,X1)
| ~ r2_hidden(X5,X1)
| r2_hidden(X5,sK207(X0,X1,X5)) ),
inference(cnf_transformation,[],[f9536]) ).
fof(f11411,plain,
! [X0,X1,X5] :
( ~ sP14(X0,X1)
| ~ r2_hidden(X5,X1)
| r1_tarski(sK207(X0,X1,X5),X1) ),
inference(cnf_transformation,[],[f9536]) ).
fof(f11412,plain,
! [X0,X1,X5] :
( ~ sP14(X0,X1)
| ~ r2_hidden(X5,X1)
| v3_pre_topc(sK207(X0,X1,X5),X0) ),
inference(cnf_transformation,[],[f9536]) ).
fof(f11413,plain,
! [X0,X1,X5] :
( ~ sP14(X0,X1)
| ~ r2_hidden(X5,X1)
| m1_subset_1(sK207(X0,X1,X5),k1_zfmisc_1(u1_struct_0(X0))) ),
inference(cnf_transformation,[],[f9536]) ).
fof(f11415,plain,
! [X0,X1] :
( r2_hidden(sK205(X0,X1),X1)
| r2_hidden(sK205(X0,X1),sK206(X0,X1))
| sP14(X0,X1) ),
inference(cnf_transformation,[],[f9536]) ).
fof(f11416,plain,
! [X0,X1] :
( r2_hidden(sK205(X0,X1),X1)
| r1_tarski(sK206(X0,X1),X1)
| sP14(X0,X1) ),
inference(cnf_transformation,[],[f9536]) ).
fof(f11417,plain,
! [X0,X1] :
( r2_hidden(sK205(X0,X1),X1)
| v3_pre_topc(sK206(X0,X1),X0)
| sP14(X0,X1) ),
inference(cnf_transformation,[],[f9536]) ).
fof(f11418,plain,
! [X0,X1] :
( r2_hidden(sK205(X0,X1),X1)
| m1_subset_1(sK206(X0,X1),k1_zfmisc_1(u1_struct_0(X0)))
| sP14(X0,X1) ),
inference(cnf_transformation,[],[f9536]) ).
fof(f11419,plain,
! [X3,X0,X1] :
( ~ r2_hidden(sK205(X0,X1),X1)
| ~ r2_hidden(sK205(X0,X1),X3)
| ~ r1_tarski(X3,X1)
| ~ v3_pre_topc(X3,X0)
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0)))
| sP14(X0,X1) ),
inference(cnf_transformation,[],[f9536]) ).
fof(f11452,plain,
! [X2,X0,X1,X8,X6] :
( ~ sP16(X0,X1,X2)
| ~ r2_hidden(X6,u1_struct_0(X0))
| ~ r2_hidden(X6,X2)
| ~ m1_subset_1(X8,k1_zfmisc_1(u1_struct_0(X0)))
| ~ r1_xboole_0(X1,X8)
| ~ r2_hidden(X6,X8)
| ~ v3_pre_topc(X8,X0) ),
inference(cnf_transformation,[],[f9554]) ).
fof(f11453,plain,
! [X2,X0,X1,X6] :
( ~ sP16(X0,X1,X2)
| ~ r2_hidden(X6,u1_struct_0(X0))
| m1_subset_1(sK215(X0,X1,X6),k1_zfmisc_1(u1_struct_0(X0)))
| r2_hidden(X6,X2) ),
inference(cnf_transformation,[],[f9554]) ).
fof(f11454,plain,
! [X2,X0,X1,X6] :
( ~ sP16(X0,X1,X2)
| ~ r2_hidden(X6,u1_struct_0(X0))
| r1_xboole_0(X1,sK215(X0,X1,X6))
| r2_hidden(X6,X2) ),
inference(cnf_transformation,[],[f9554]) ).
fof(f11455,plain,
! [X2,X0,X1,X6] :
( ~ sP16(X0,X1,X2)
| ~ r2_hidden(X6,u1_struct_0(X0))
| r2_hidden(X6,sK215(X0,X1,X6))
| r2_hidden(X6,X2) ),
inference(cnf_transformation,[],[f9554]) ).
fof(f11456,plain,
! [X2,X0,X1,X6] :
( ~ sP16(X0,X1,X2)
| ~ r2_hidden(X6,u1_struct_0(X0))
| v3_pre_topc(sK215(X0,X1,X6),X0)
| r2_hidden(X6,X2) ),
inference(cnf_transformation,[],[f9554]) ).
fof(f11457,plain,
! [X2,X0,X1] :
( r2_hidden(sK213(X0,X1,X2),u1_struct_0(X0))
| sP16(X0,X1,X2) ),
inference(cnf_transformation,[],[f9554]) ).
fof(f11458,plain,
! [X2,X0,X1,X5] :
( r2_hidden(sK213(X0,X1,X2),X2)
| ~ m1_subset_1(X5,k1_zfmisc_1(u1_struct_0(X0)))
| ~ r1_xboole_0(X1,X5)
| ~ r2_hidden(sK213(X0,X1,X2),X5)
| ~ v3_pre_topc(X5,X0)
| sP16(X0,X1,X2) ),
inference(cnf_transformation,[],[f9554]) ).
fof(f11459,plain,
! [X2,X0,X1] :
( ~ r2_hidden(sK213(X0,X1,X2),X2)
| m1_subset_1(sK214(X0,X1,X2),k1_zfmisc_1(u1_struct_0(X0)))
| sP16(X0,X1,X2) ),
inference(cnf_transformation,[],[f9554]) ).
fof(f11460,plain,
! [X2,X0,X1] :
( ~ r2_hidden(sK213(X0,X1,X2),X2)
| r1_xboole_0(X1,sK214(X0,X1,X2))
| sP16(X0,X1,X2) ),
inference(cnf_transformation,[],[f9554]) ).
fof(f11461,plain,
! [X2,X0,X1] :
( ~ r2_hidden(sK213(X0,X1,X2),X2)
| r2_hidden(sK213(X0,X1,X2),sK214(X0,X1,X2))
| sP16(X0,X1,X2) ),
inference(cnf_transformation,[],[f9554]) ).
fof(f11462,plain,
! [X2,X0,X1] :
( ~ r2_hidden(sK213(X0,X1,X2),X2)
| v3_pre_topc(sK214(X0,X1,X2),X0)
| sP16(X0,X1,X2) ),
inference(cnf_transformation,[],[f9554]) ).
fof(f12032,plain,
! [X0] :
( ~ sP18(X0)
| v14_lattices(X0) ),
inference(cnf_transformation,[],[f9700]) ).
fof(f12042,plain,
! [X0] :
( ~ sP19(X0)
| v13_lattices(X0) ),
inference(cnf_transformation,[],[f9701]) ).
fof(f12092,plain,
! [X2,X3,X0,X1,X8,X9,X4,X5] :
( ~ sP20(X0,X1,X2,X3,X4,X5)
| ~ m1_subset_1(X8,k5_finsub_1(X2))
| ~ r1_tarski(X8,X5)
| ~ m1_subset_1(X9,X2)
| ~ r2_hidden(X9,X5)
| k8_funct_2(k5_finsub_1(X2),X1,X3,k5_setwiseo(X2,X8,k2_setwiseo(X2,X9))) = k2_binop_1(X1,X1,X1,X4,k8_funct_2(k5_finsub_1(X2),X1,X3,X8),k8_funct_2(X2,X1,X0,X9))
| k1_xboole_0 = X8 ),
inference(cnf_transformation,[],[f9717]) ).
fof(f12093,plain,
! [X2,X3,X0,X1,X4,X5] :
( m1_subset_1(sK285(X0,X1,X2,X3,X4,X5),k5_finsub_1(X2))
| sP20(X0,X1,X2,X3,X4,X5) ),
inference(cnf_transformation,[],[f9717]) ).
fof(f12094,plain,
! [X2,X3,X0,X1,X4,X5] :
( r1_tarski(sK285(X0,X1,X2,X3,X4,X5),X5)
| sP20(X0,X1,X2,X3,X4,X5) ),
inference(cnf_transformation,[],[f9717]) ).
fof(f12095,plain,
! [X2,X3,X0,X1,X4,X5] :
( m1_subset_1(sK286(X0,X1,X2,X3,X4,X5),X2)
| sP20(X0,X1,X2,X3,X4,X5) ),
inference(cnf_transformation,[],[f9717]) ).
fof(f12096,plain,
! [X2,X3,X0,X1,X4,X5] :
( r2_hidden(sK286(X0,X1,X2,X3,X4,X5),X5)
| sP20(X0,X1,X2,X3,X4,X5) ),
inference(cnf_transformation,[],[f9717]) ).
fof(f12097,plain,
! [X2,X3,X0,X1,X4,X5] :
( k8_funct_2(k5_finsub_1(X2),X1,X3,k5_setwiseo(X2,sK285(X0,X1,X2,X3,X4,X5),k2_setwiseo(X2,sK286(X0,X1,X2,X3,X4,X5)))) != k2_binop_1(X1,X1,X1,X4,k8_funct_2(k5_finsub_1(X2),X1,X3,sK285(X0,X1,X2,X3,X4,X5)),k8_funct_2(X2,X1,X0,sK286(X0,X1,X2,X3,X4,X5)))
| sP20(X0,X1,X2,X3,X4,X5) ),
inference(cnf_transformation,[],[f9717]) ).
fof(f12098,plain,
! [X2,X3,X0,X1,X4,X5] :
( k1_xboole_0 != sK285(X0,X1,X2,X3,X4,X5)
| sP20(X0,X1,X2,X3,X4,X5) ),
inference(cnf_transformation,[],[f9717]) ).
fof(f12441,plain,
! [X3,X0,X4] :
( ~ sP23(X0)
| ~ v1_funct_1(X3)
| ~ v1_relat_1(X3)
| ~ v1_funct_1(X4)
| ~ v1_relat_1(X4)
| k5_relat_1(X3,X0) != k5_relat_1(X4,X0)
| k1_relat_1(X4) != k1_relat_1(X3)
| ~ r1_tarski(k2_relat_1(X4),k1_relat_1(X0))
| ~ r1_tarski(k2_relat_1(X3),k1_relat_1(X0))
| X3 = X4 ),
inference(cnf_transformation,[],[f9828]) ).
fof(f12442,plain,
! [X0] :
( v1_funct_1(sK345(X0))
| sP23(X0) ),
inference(cnf_transformation,[],[f9828]) ).
fof(f12443,plain,
! [X0] :
( v1_relat_1(sK345(X0))
| sP23(X0) ),
inference(cnf_transformation,[],[f9828]) ).
fof(f12444,plain,
! [X0] :
( v1_funct_1(sK346(X0))
| sP23(X0) ),
inference(cnf_transformation,[],[f9828]) ).
fof(f12445,plain,
! [X0] :
( v1_relat_1(sK346(X0))
| sP23(X0) ),
inference(cnf_transformation,[],[f9828]) ).
fof(f12446,plain,
! [X0] :
( k5_relat_1(sK345(X0),X0) = k5_relat_1(sK346(X0),X0)
| sP23(X0) ),
inference(cnf_transformation,[],[f9828]) ).
fof(f12447,plain,
! [X0] :
( k1_relat_1(sK345(X0)) = k1_relat_1(sK346(X0))
| sP23(X0) ),
inference(cnf_transformation,[],[f9828]) ).
fof(f12448,plain,
! [X0] :
( r1_tarski(k2_relat_1(sK346(X0)),k1_relat_1(X0))
| sP23(X0) ),
inference(cnf_transformation,[],[f9828]) ).
fof(f12449,plain,
! [X0] :
( r1_tarski(k2_relat_1(sK345(X0)),k1_relat_1(X0))
| sP23(X0) ),
inference(cnf_transformation,[],[f9828]) ).
fof(f12450,plain,
! [X0] :
( sK345(X0) != sK346(X0)
| sP23(X0) ),
inference(cnf_transformation,[],[f9828]) ).
fof(f13014,plain,
! [X2,X0,X1,X4] :
( ~ sP25(X0,X1,X2)
| ~ m2_subset_1(X4,k1_numbers,k5_numbers)
| ~ r2_hidden(X4,k4_finseq_1(X2))
| k1_funct_1(X2,X4) = k1_funct_1(X1,k1_nat_1(k3_finseq_1(X0),X4)) ),
inference(cnf_transformation,[],[f9953]) ).
fof(f13015,plain,
! [X2,X0,X1] :
( m2_subset_1(sK422(X0,X1,X2),k1_numbers,k5_numbers)
| sP25(X0,X1,X2) ),
inference(cnf_transformation,[],[f9953]) ).
fof(f13016,plain,
! [X2,X0,X1] :
( r2_hidden(sK422(X0,X1,X2),k4_finseq_1(X2))
| sP25(X0,X1,X2) ),
inference(cnf_transformation,[],[f9953]) ).
fof(f13017,plain,
! [X2,X0,X1] :
( k1_funct_1(X2,sK422(X0,X1,X2)) != k1_funct_1(X1,k1_nat_1(k3_finseq_1(X0),sK422(X0,X1,X2)))
| sP25(X0,X1,X2) ),
inference(cnf_transformation,[],[f9953]) ).
fof(f13073,plain,
! [X0,X1,X4,X5] :
( ~ sP26(X0,X1)
| ~ v2_funct_1(X1)
| k1_funct_1(X1,X4) != k1_funct_1(X1,X5)
| ~ r2_hidden(X5,X0)
| ~ r2_hidden(X4,X0)
| X4 = X5 ),
inference(cnf_transformation,[],[f9982]) ).
fof(f13074,plain,
! [X0,X1] :
( ~ sP26(X0,X1)
| k1_funct_1(X1,sK434(X0,X1)) = k1_funct_1(X1,sK435(X0,X1))
| v2_funct_1(X1) ),
inference(cnf_transformation,[],[f9982]) ).
fof(f13075,plain,
! [X0,X1] :
( ~ sP26(X0,X1)
| r2_hidden(sK435(X0,X1),X0)
| v2_funct_1(X1) ),
inference(cnf_transformation,[],[f9982]) ).
fof(f13076,plain,
! [X0,X1] :
( ~ sP26(X0,X1)
| r2_hidden(sK434(X0,X1),X0)
| v2_funct_1(X1) ),
inference(cnf_transformation,[],[f9982]) ).
fof(f13077,plain,
! [X0,X1] :
( ~ sP26(X0,X1)
| sK434(X0,X1) != sK435(X0,X1)
| v2_funct_1(X1) ),
inference(cnf_transformation,[],[f9982]) ).
fof(f13237,plain,
! [X2,X3,X0,X1,X4] :
( ~ sP27(X0,X1,X2,X3,X4)
| m2_relset_1(sK465(X0,X1,X2,X3,X4),X3,X2) ),
inference(cnf_transformation,[],[f10034]) ).
fof(f13238,plain,
! [X2,X3,X0,X1,X4] :
( ~ sP27(X0,X1,X2,X3,X4)
| v1_funct_2(sK465(X0,X1,X2,X3,X4),X3,X2) ),
inference(cnf_transformation,[],[f10034]) ).
fof(f13239,plain,
! [X2,X3,X0,X1,X4] :
( ~ sP27(X0,X1,X2,X3,X4)
| v1_funct_1(sK465(X0,X1,X2,X3,X4)) ),
inference(cnf_transformation,[],[f10034]) ).
fof(f13240,plain,
! [X2,X3,X0,X1,X4] :
( ~ sP27(X0,X1,X2,X3,X4)
| k7_funct_2(X4,X3,X2,X1,sK465(X0,X1,X2,X3,X4)) = X0 ),
inference(cnf_transformation,[],[f10034]) ).
fof(f13447,plain,
! [X2,X0,X1,X12] :
( ~ sP28(X0,X1,X2)
| ~ r2_hidden(X12,k1_relat_1(X2))
| r2_hidden(k4_tarski(sK504(X0,X1,X12),sK505(X0,X1,X12)),k1_relat_1(X1)) ),
inference(cnf_transformation,[],[f10084]) ).
fof(f13448,plain,
! [X2,X0,X1,X12] :
( ~ sP28(X0,X1,X2)
| ~ r2_hidden(X12,k1_relat_1(X2))
| r2_hidden(k4_tarski(sK502(X0,X1,X12),sK503(X0,X1,X12)),k1_relat_1(X0)) ),
inference(cnf_transformation,[],[f10084]) ).
fof(f13449,plain,
! [X2,X0,X1,X12] :
( ~ sP28(X0,X1,X2)
| ~ r2_hidden(X12,k1_relat_1(X2))
| k4_tarski(k4_tarski(sK502(X0,X1,X12),sK504(X0,X1,X12)),k4_tarski(sK503(X0,X1,X12),sK505(X0,X1,X12))) = X12 ),
inference(cnf_transformation,[],[f10084]) ).
fof(f13450,plain,
! [X2,X0,X1,X16,X14,X15,X12,X13] :
( ~ sP28(X0,X1,X2)
| ~ r2_hidden(k4_tarski(X15,X16),k1_relat_1(X1))
| ~ r2_hidden(k4_tarski(X13,X14),k1_relat_1(X0))
| k4_tarski(k4_tarski(X13,X15),k4_tarski(X14,X16)) != X12
| r2_hidden(X12,k1_relat_1(X2)) ),
inference(cnf_transformation,[],[f10084]) ).
fof(f13451,plain,
! [X2,X0,X1] :
( r2_hidden(sK497(X0,X1,X2),k1_relat_1(X2))
| r2_hidden(k4_tarski(sK500(X0,X1,X2),sK501(X0,X1,X2)),k1_relat_1(X1))
| sP28(X0,X1,X2) ),
inference(cnf_transformation,[],[f10084]) ).
fof(f13452,plain,
! [X2,X0,X1] :
( r2_hidden(sK497(X0,X1,X2),k1_relat_1(X2))
| r2_hidden(k4_tarski(sK498(X0,X1,X2),sK499(X0,X1,X2)),k1_relat_1(X0))
| sP28(X0,X1,X2) ),
inference(cnf_transformation,[],[f10084]) ).
fof(f13453,plain,
! [X2,X0,X1] :
( r2_hidden(sK497(X0,X1,X2),k1_relat_1(X2))
| sK497(X0,X1,X2) = k4_tarski(k4_tarski(sK498(X0,X1,X2),sK500(X0,X1,X2)),k4_tarski(sK499(X0,X1,X2),sK501(X0,X1,X2)))
| sP28(X0,X1,X2) ),
inference(cnf_transformation,[],[f10084]) ).
fof(f13454,plain,
! [X2,X0,X1,X6,X7,X4,X5] :
( ~ r2_hidden(sK497(X0,X1,X2),k1_relat_1(X2))
| ~ r2_hidden(k4_tarski(X6,X7),k1_relat_1(X1))
| ~ r2_hidden(k4_tarski(X4,X5),k1_relat_1(X0))
| k4_tarski(k4_tarski(X4,X6),k4_tarski(X5,X7)) != sK497(X0,X1,X2)
| sP28(X0,X1,X2) ),
inference(cnf_transformation,[],[f10084]) ).
fof(f13514,plain,
! [X2,X0,X1,X6] :
( ~ sP29(X0,X1,X2)
| ~ r2_hidden(X6,k1_relat_1(X2))
| k1_funct_1(X0,X6) = k1_funct_1(X2,X6) ),
inference(cnf_transformation,[],[f10105]) ).
fof(f13515,plain,
! [X2,X0,X1,X5] :
( ~ sP29(X0,X1,X2)
| ~ r2_hidden(X5,k1_relat_1(X2))
| r2_hidden(k1_funct_1(X0,X5),X1) ),
inference(cnf_transformation,[],[f10105]) ).
fof(f13516,plain,
! [X2,X0,X1,X5] :
( ~ sP29(X0,X1,X2)
| ~ r2_hidden(X5,k1_relat_1(X2))
| r2_hidden(X5,k1_relat_1(X0)) ),
inference(cnf_transformation,[],[f10105]) ).
fof(f13517,plain,
! [X2,X0,X1,X5] :
( ~ sP29(X0,X1,X2)
| ~ r2_hidden(k1_funct_1(X0,X5),X1)
| ~ r2_hidden(X5,k1_relat_1(X0))
| r2_hidden(X5,k1_relat_1(X2)) ),
inference(cnf_transformation,[],[f10105]) ).
fof(f13518,plain,
! [X2,X0,X1] :
( r2_hidden(sK519(X0,X2),k1_relat_1(X2))
| r2_hidden(sK518(X0,X1,X2),k1_relat_1(X2))
| r2_hidden(k1_funct_1(X0,sK518(X0,X1,X2)),X1)
| sP29(X0,X1,X2) ),
inference(cnf_transformation,[],[f10105]) ).
fof(f13519,plain,
! [X2,X0,X1] :
( k1_funct_1(X0,sK519(X0,X2)) != k1_funct_1(X2,sK519(X0,X2))
| r2_hidden(sK518(X0,X1,X2),k1_relat_1(X2))
| r2_hidden(k1_funct_1(X0,sK518(X0,X1,X2)),X1)
| sP29(X0,X1,X2) ),
inference(cnf_transformation,[],[f10105]) ).
fof(f13520,plain,
! [X2,X0,X1] :
( r2_hidden(sK519(X0,X2),k1_relat_1(X2))
| r2_hidden(sK518(X0,X1,X2),k1_relat_1(X2))
| r2_hidden(sK518(X0,X1,X2),k1_relat_1(X0))
| sP29(X0,X1,X2) ),
inference(cnf_transformation,[],[f10105]) ).
fof(f13521,plain,
! [X2,X0,X1] :
( k1_funct_1(X0,sK519(X0,X2)) != k1_funct_1(X2,sK519(X0,X2))
| r2_hidden(sK518(X0,X1,X2),k1_relat_1(X2))
| r2_hidden(sK518(X0,X1,X2),k1_relat_1(X0))
| sP29(X0,X1,X2) ),
inference(cnf_transformation,[],[f10105]) ).
fof(f13522,plain,
! [X2,X0,X1] :
( r2_hidden(sK519(X0,X2),k1_relat_1(X2))
| ~ r2_hidden(sK518(X0,X1,X2),k1_relat_1(X2))
| ~ r2_hidden(k1_funct_1(X0,sK518(X0,X1,X2)),X1)
| ~ r2_hidden(sK518(X0,X1,X2),k1_relat_1(X0))
| sP29(X0,X1,X2) ),
inference(cnf_transformation,[],[f10105]) ).
fof(f13523,plain,
! [X2,X0,X1] :
( k1_funct_1(X0,sK519(X0,X2)) != k1_funct_1(X2,sK519(X0,X2))
| ~ r2_hidden(sK518(X0,X1,X2),k1_relat_1(X2))
| ~ r2_hidden(k1_funct_1(X0,sK518(X0,X1,X2)),X1)
| ~ r2_hidden(sK518(X0,X1,X2),k1_relat_1(X0))
| sP29(X0,X1,X2) ),
inference(cnf_transformation,[],[f10105]) ).
fof(f13648,plain,
! [X0,X6,X7,X5] :
( ~ sP31(X0)
| ~ m1_subset_1(X5,u1_struct_0(X0))
| ~ m1_subset_1(X6,u1_struct_0(X0))
| ~ m1_subset_1(X7,u1_struct_0(X0))
| k1_rlvect_1(X0) = k2_rlvect_1(X0,X5,sK534(X0,X5)) ),
inference(cnf_transformation,[],[f10132]) ).
fof(f13649,plain,
! [X0,X6,X7,X5] :
( ~ sP31(X0)
| ~ m1_subset_1(X5,u1_struct_0(X0))
| ~ m1_subset_1(X6,u1_struct_0(X0))
| ~ m1_subset_1(X7,u1_struct_0(X0))
| m1_subset_1(sK534(X0,X5),u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f10132]) ).
fof(f13650,plain,
! [X0,X6,X7,X5] :
( ~ sP31(X0)
| ~ m1_subset_1(X5,u1_struct_0(X0))
| ~ m1_subset_1(X6,u1_struct_0(X0))
| ~ m1_subset_1(X7,u1_struct_0(X0))
| k2_rlvect_1(X0,X5,k1_rlvect_1(X0)) = X5 ),
inference(cnf_transformation,[],[f10132]) ).
fof(f13651,plain,
! [X0,X6,X7,X5] :
( ~ sP31(X0)
| ~ m1_subset_1(X5,u1_struct_0(X0))
| ~ m1_subset_1(X6,u1_struct_0(X0))
| ~ m1_subset_1(X7,u1_struct_0(X0))
| k2_rlvect_1(X0,k2_rlvect_1(X0,X5,X6),X7) = k2_rlvect_1(X0,X5,k2_rlvect_1(X0,X6,X7)) ),
inference(cnf_transformation,[],[f10132]) ).
fof(f13652,plain,
! [X0,X6,X7,X5] :
( ~ sP31(X0)
| ~ m1_subset_1(X5,u1_struct_0(X0))
| ~ m1_subset_1(X6,u1_struct_0(X0))
| ~ m1_subset_1(X7,u1_struct_0(X0))
| k2_rlvect_1(X0,X5,X6) = k2_rlvect_1(X0,X6,X5) ),
inference(cnf_transformation,[],[f10132]) ).
fof(f13653,plain,
! [X0] :
( m1_subset_1(sK531(X0),u1_struct_0(X0))
| sP31(X0) ),
inference(cnf_transformation,[],[f10132]) ).
fof(f13654,plain,
! [X0] :
( m1_subset_1(sK532(X0),u1_struct_0(X0))
| sP31(X0) ),
inference(cnf_transformation,[],[f10132]) ).
fof(f13655,plain,
! [X0] :
( m1_subset_1(sK533(X0),u1_struct_0(X0))
| sP31(X0) ),
inference(cnf_transformation,[],[f10132]) ).
fof(f13656,plain,
! [X0,X4] :
( k1_rlvect_1(X0) != k2_rlvect_1(X0,sK531(X0),X4)
| ~ m1_subset_1(X4,u1_struct_0(X0))
| sK531(X0) != k2_rlvect_1(X0,sK531(X0),k1_rlvect_1(X0))
| k2_rlvect_1(X0,k2_rlvect_1(X0,sK531(X0),sK532(X0)),sK533(X0)) != k2_rlvect_1(X0,sK531(X0),k2_rlvect_1(X0,sK532(X0),sK533(X0)))
| k2_rlvect_1(X0,sK531(X0),sK532(X0)) != k2_rlvect_1(X0,sK532(X0),sK531(X0))
| sP31(X0) ),
inference(cnf_transformation,[],[f10132]) ).
fof(f13871,plain,
! [X2,X3,X0,X1,X6,X4] :
( ~ sP33(X0,X1,X2,X3,X4)
| ~ r2_hidden(X6,X4)
| X3 = X6
| X2 = X6
| X1 = X6
| X0 = X6 ),
inference(cnf_transformation,[],[f10193]) ).
fof(f13872,plain,
! [X2,X3,X0,X1,X6,X4] :
( ~ sP33(X0,X1,X2,X3,X4)
| X3 != X6
| r2_hidden(X6,X4) ),
inference(cnf_transformation,[],[f10193]) ).
fof(f13873,plain,
! [X2,X3,X0,X1,X6,X4] :
( ~ sP33(X0,X1,X2,X3,X4)
| X2 != X6
| r2_hidden(X6,X4) ),
inference(cnf_transformation,[],[f10193]) ).
fof(f13874,plain,
! [X2,X3,X0,X1,X6,X4] :
( ~ sP33(X0,X1,X2,X3,X4)
| X1 != X6
| r2_hidden(X6,X4) ),
inference(cnf_transformation,[],[f10193]) ).
fof(f13875,plain,
! [X2,X3,X0,X1,X6,X4] :
( ~ sP33(X0,X1,X2,X3,X4)
| X0 != X6
| r2_hidden(X6,X4) ),
inference(cnf_transformation,[],[f10193]) ).
fof(f13876,plain,
! [X2,X3,X0,X1,X4] :
( r2_hidden(sK560(X0,X1,X2,X3,X4),X4)
| sK560(X0,X1,X2,X3,X4) = X3
| sK560(X0,X1,X2,X3,X4) = X2
| sK560(X0,X1,X2,X3,X4) = X1
| sK560(X0,X1,X2,X3,X4) = X0
| sP33(X0,X1,X2,X3,X4) ),
inference(cnf_transformation,[],[f10193]) ).
fof(f13877,plain,
! [X2,X3,X0,X1,X4] :
( ~ r2_hidden(sK560(X0,X1,X2,X3,X4),X4)
| sK560(X0,X1,X2,X3,X4) != X3
| sP33(X0,X1,X2,X3,X4) ),
inference(cnf_transformation,[],[f10193]) ).
fof(f13878,plain,
! [X2,X3,X0,X1,X4] :
( ~ r2_hidden(sK560(X0,X1,X2,X3,X4),X4)
| sK560(X0,X1,X2,X3,X4) != X2
| sP33(X0,X1,X2,X3,X4) ),
inference(cnf_transformation,[],[f10193]) ).
fof(f13879,plain,
! [X2,X3,X0,X1,X4] :
( ~ r2_hidden(sK560(X0,X1,X2,X3,X4),X4)
| sK560(X0,X1,X2,X3,X4) != X1
| sP33(X0,X1,X2,X3,X4) ),
inference(cnf_transformation,[],[f10193]) ).
fof(f13880,plain,
! [X2,X3,X0,X1,X4] :
( ~ r2_hidden(sK560(X0,X1,X2,X3,X4),X4)
| sK560(X0,X1,X2,X3,X4) != X0
| sP33(X0,X1,X2,X3,X4) ),
inference(cnf_transformation,[],[f10193]) ).
fof(f13954,plain,
! [X2,X0,X1,X8,X7] :
( ~ sP34(X0,X1,X2)
| ~ m2_subset_1(X7,k1_numbers,k5_numbers)
| ~ m1_subset_1(X8,u1_struct_0(X0))
| k1_funct_1(X2,k1_nat_1(X7,np__1)) != X8
| k8_funct_2(k5_numbers,u1_struct_0(X0),sK567(X0,X1,X2),k1_nat_1(X7,np__1)) = k2_rlvect_1(X0,k8_funct_2(k5_numbers,u1_struct_0(X0),sK567(X0,X1,X2),X7),X8)
| r1_xreal_0(k3_finseq_1(X2),X7) ),
inference(cnf_transformation,[],[f10209]) ).
fof(f13955,plain,
! [X2,X0,X1] :
( ~ sP34(X0,X1,X2)
| k1_rlvect_1(X0) = k8_funct_2(k5_numbers,u1_struct_0(X0),sK567(X0,X1,X2),np__0) ),
inference(cnf_transformation,[],[f10209]) ).
fof(f13956,plain,
! [X2,X0,X1] :
( ~ sP34(X0,X1,X2)
| k8_funct_2(k5_numbers,u1_struct_0(X0),sK567(X0,X1,X2),k3_finseq_1(X2)) = X1 ),
inference(cnf_transformation,[],[f10209]) ).
fof(f13957,plain,
! [X2,X0,X1] :
( ~ sP34(X0,X1,X2)
| m2_relset_1(sK567(X0,X1,X2),k5_numbers,u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f10209]) ).
fof(f13958,plain,
! [X2,X0,X1] :
( ~ sP34(X0,X1,X2)
| v1_funct_2(sK567(X0,X1,X2),k5_numbers,u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f10209]) ).
fof(f13959,plain,
! [X2,X0,X1] :
( ~ sP34(X0,X1,X2)
| v1_funct_1(sK567(X0,X1,X2)) ),
inference(cnf_transformation,[],[f10209]) ).
fof(f13960,plain,
! [X2,X3,X0,X1] :
( m2_subset_1(sK565(X0,X2,X3),k1_numbers,k5_numbers)
| k1_rlvect_1(X0) != k8_funct_2(k5_numbers,u1_struct_0(X0),X3,np__0)
| k8_funct_2(k5_numbers,u1_struct_0(X0),X3,k3_finseq_1(X2)) != X1
| ~ m2_relset_1(X3,k5_numbers,u1_struct_0(X0))
| ~ v1_funct_2(X3,k5_numbers,u1_struct_0(X0))
| ~ v1_funct_1(X3)
| sP34(X0,X1,X2) ),
inference(cnf_transformation,[],[f10209]) ).
fof(f13961,plain,
! [X2,X3,X0,X1] :
( m1_subset_1(sK566(X0,X2,X3),u1_struct_0(X0))
| k1_rlvect_1(X0) != k8_funct_2(k5_numbers,u1_struct_0(X0),X3,np__0)
| k8_funct_2(k5_numbers,u1_struct_0(X0),X3,k3_finseq_1(X2)) != X1
| ~ m2_relset_1(X3,k5_numbers,u1_struct_0(X0))
| ~ v1_funct_2(X3,k5_numbers,u1_struct_0(X0))
| ~ v1_funct_1(X3)
| sP34(X0,X1,X2) ),
inference(cnf_transformation,[],[f10209]) ).
fof(f13962,plain,
! [X2,X3,X0,X1] :
( sK566(X0,X2,X3) = k1_funct_1(X2,k1_nat_1(sK565(X0,X2,X3),np__1))
| k1_rlvect_1(X0) != k8_funct_2(k5_numbers,u1_struct_0(X0),X3,np__0)
| k8_funct_2(k5_numbers,u1_struct_0(X0),X3,k3_finseq_1(X2)) != X1
| ~ m2_relset_1(X3,k5_numbers,u1_struct_0(X0))
| ~ v1_funct_2(X3,k5_numbers,u1_struct_0(X0))
| ~ v1_funct_1(X3)
| sP34(X0,X1,X2) ),
inference(cnf_transformation,[],[f10209]) ).
fof(f13963,plain,
! [X2,X3,X0,X1] :
( k8_funct_2(k5_numbers,u1_struct_0(X0),X3,k1_nat_1(sK565(X0,X2,X3),np__1)) != k2_rlvect_1(X0,k8_funct_2(k5_numbers,u1_struct_0(X0),X3,sK565(X0,X2,X3)),sK566(X0,X2,X3))
| k1_rlvect_1(X0) != k8_funct_2(k5_numbers,u1_struct_0(X0),X3,np__0)
| k8_funct_2(k5_numbers,u1_struct_0(X0),X3,k3_finseq_1(X2)) != X1
| ~ m2_relset_1(X3,k5_numbers,u1_struct_0(X0))
| ~ v1_funct_2(X3,k5_numbers,u1_struct_0(X0))
| ~ v1_funct_1(X3)
| sP34(X0,X1,X2) ),
inference(cnf_transformation,[],[f10209]) ).
fof(f13964,plain,
! [X2,X3,X0,X1] :
( ~ r1_xreal_0(k3_finseq_1(X2),sK565(X0,X2,X3))
| k1_rlvect_1(X0) != k8_funct_2(k5_numbers,u1_struct_0(X0),X3,np__0)
| k8_funct_2(k5_numbers,u1_struct_0(X0),X3,k3_finseq_1(X2)) != X1
| ~ m2_relset_1(X3,k5_numbers,u1_struct_0(X0))
| ~ v1_funct_2(X3,k5_numbers,u1_struct_0(X0))
| ~ v1_funct_1(X3)
| sP34(X0,X1,X2) ),
inference(cnf_transformation,[],[f10209]) ).
fof(f13978,plain,
! [X0,X1,X5] :
( ~ sP36(X0,X1)
| ~ m2_subset_1(X5,k1_numbers,k5_numbers)
| m1_subset_1(sK571(X1,X5),k8_qc_lang1)
| r1_xreal_0(X0,X5)
| ~ r1_xreal_0(np__1,X5) ),
inference(cnf_transformation,[],[f10217]) ).
fof(f13979,plain,
! [X0,X1,X5] :
( ~ sP36(X0,X1)
| ~ m2_subset_1(X5,k1_numbers,k5_numbers)
| m1_subset_1(sK572(X1,X5),k8_qc_lang1)
| r1_xreal_0(X0,X5)
| ~ r1_xreal_0(np__1,X5) ),
inference(cnf_transformation,[],[f10217]) ).
fof(f13980,plain,
! [X0,X1,X5] :
( ~ sP36(X0,X1)
| ~ m2_subset_1(X5,k1_numbers,k5_numbers)
| r1_qc_lang2(sK571(X1,X5),sK572(X1,X5))
| r1_xreal_0(X0,X5)
| ~ r1_xreal_0(np__1,X5) ),
inference(cnf_transformation,[],[f10217]) ).
fof(f13981,plain,
! [X0,X1,X5] :
( ~ sP36(X0,X1)
| ~ m2_subset_1(X5,k1_numbers,k5_numbers)
| k1_funct_1(X1,k1_nat_1(X5,np__1)) = sK572(X1,X5)
| r1_xreal_0(X0,X5)
| ~ r1_xreal_0(np__1,X5) ),
inference(cnf_transformation,[],[f10217]) ).
fof(f13982,plain,
! [X0,X1,X5] :
( ~ sP36(X0,X1)
| ~ m2_subset_1(X5,k1_numbers,k5_numbers)
| k1_funct_1(X1,X5) = sK571(X1,X5)
| r1_xreal_0(X0,X5)
| ~ r1_xreal_0(np__1,X5) ),
inference(cnf_transformation,[],[f10217]) ).
fof(f13983,plain,
! [X0,X1] :
( m2_subset_1(sK570(X0,X1),k1_numbers,k5_numbers)
| sP36(X0,X1) ),
inference(cnf_transformation,[],[f10217]) ).
fof(f13984,plain,
! [X3,X0,X1,X4] :
( ~ m1_subset_1(X3,k8_qc_lang1)
| ~ m1_subset_1(X4,k8_qc_lang1)
| ~ r1_qc_lang2(X3,X4)
| k1_funct_1(X1,k1_nat_1(sK570(X0,X1),np__1)) != X4
| k1_funct_1(X1,sK570(X0,X1)) != X3
| sP36(X0,X1) ),
inference(cnf_transformation,[],[f10217]) ).
fof(f13985,plain,
! [X0,X1] :
( ~ r1_xreal_0(X0,sK570(X0,X1))
| sP36(X0,X1) ),
inference(cnf_transformation,[],[f10217]) ).
fof(f13986,plain,
! [X0,X1] :
( r1_xreal_0(np__1,sK570(X0,X1))
| sP36(X0,X1) ),
inference(cnf_transformation,[],[f10217]) ).
fof(f14351,plain,
! [X0] :
( ~ sP9(X0)
| r2_hidden(k2_tarski(k2_tarski(sK130(X0),sK131(X0)),k2_enumset1(sK130(X0),sK130(X0),sK130(X0),sK130(X0))),X0) ),
inference(definition_unfolding,[],[f10963,f14052]) ).
fof(f14352,plain,
! [X0] :
( ~ sP9(X0)
| r2_hidden(k2_tarski(k2_tarski(sK130(X0),sK132(X0)),k2_enumset1(sK130(X0),sK130(X0),sK130(X0),sK130(X0))),X0) ),
inference(definition_unfolding,[],[f10962,f14052]) ).
fof(f14530,plain,
! [X2,X3,X0,X1,X4,X5] :
( np__0 != sK285(X0,X1,X2,X3,X4,X5)
| sP20(X0,X1,X2,X3,X4,X5) ),
inference(definition_unfolding,[],[f12098,f13783]) ).
fof(f14531,plain,
! [X2,X3,X0,X1,X8,X9,X4,X5] :
( ~ sP20(X0,X1,X2,X3,X4,X5)
| ~ m1_subset_1(X8,k5_finsub_1(X2))
| ~ r1_tarski(X8,X5)
| ~ m1_subset_1(X9,X2)
| ~ r2_hidden(X9,X5)
| k8_funct_2(k5_finsub_1(X2),X1,X3,k5_setwiseo(X2,X8,k2_setwiseo(X2,X9))) = k2_binop_1(X1,X1,X1,X4,k8_funct_2(k5_finsub_1(X2),X1,X3,X8),k8_funct_2(X2,X1,X0,X9))
| np__0 = X8 ),
inference(definition_unfolding,[],[f12092,f13783]) ).
fof(f14944,plain,
! [X2,X0,X1,X6,X7,X4,X5] :
( ~ r2_hidden(sK497(X0,X1,X2),k1_relat_1(X2))
| ~ r2_hidden(k2_tarski(k2_tarski(X6,X7),k2_enumset1(X6,X6,X6,X6)),k1_relat_1(X1))
| ~ r2_hidden(k2_tarski(k2_tarski(X4,X5),k2_enumset1(X4,X4,X4,X4)),k1_relat_1(X0))
| sK497(X0,X1,X2) != k2_tarski(k2_tarski(k2_tarski(k2_tarski(X4,X6),k2_enumset1(X4,X4,X4,X4)),k2_tarski(k2_tarski(X5,X7),k2_enumset1(X5,X5,X5,X5))),k2_enumset1(k2_tarski(k2_tarski(X4,X6),k2_enumset1(X4,X4,X4,X4)),k2_tarski(k2_tarski(X4,X6),k2_enumset1(X4,X4,X4,X4)),k2_tarski(k2_tarski(X4,X6),k2_enumset1(X4,X4,X4,X4)),k2_tarski(k2_tarski(X4,X6),k2_enumset1(X4,X4,X4,X4))))
| sP28(X0,X1,X2) ),
inference(definition_unfolding,[],[f13454,f14052,f14052,f14052,f14052,f14052]) ).
fof(f14945,plain,
! [X2,X0,X1] :
( r2_hidden(sK497(X0,X1,X2),k1_relat_1(X2))
| sK497(X0,X1,X2) = k2_tarski(k2_tarski(k2_tarski(k2_tarski(sK498(X0,X1,X2),sK500(X0,X1,X2)),k2_enumset1(sK498(X0,X1,X2),sK498(X0,X1,X2),sK498(X0,X1,X2),sK498(X0,X1,X2))),k2_tarski(k2_tarski(sK499(X0,X1,X2),sK501(X0,X1,X2)),k2_enumset1(sK499(X0,X1,X2),sK499(X0,X1,X2),sK499(X0,X1,X2),sK499(X0,X1,X2)))),k2_enumset1(k2_tarski(k2_tarski(sK498(X0,X1,X2),sK500(X0,X1,X2)),k2_enumset1(sK498(X0,X1,X2),sK498(X0,X1,X2),sK498(X0,X1,X2),sK498(X0,X1,X2))),k2_tarski(k2_tarski(sK498(X0,X1,X2),sK500(X0,X1,X2)),k2_enumset1(sK498(X0,X1,X2),sK498(X0,X1,X2),sK498(X0,X1,X2),sK498(X0,X1,X2))),k2_tarski(k2_tarski(sK498(X0,X1,X2),sK500(X0,X1,X2)),k2_enumset1(sK498(X0,X1,X2),sK498(X0,X1,X2),sK498(X0,X1,X2),sK498(X0,X1,X2))),k2_tarski(k2_tarski(sK498(X0,X1,X2),sK500(X0,X1,X2)),k2_enumset1(sK498(X0,X1,X2),sK498(X0,X1,X2),sK498(X0,X1,X2),sK498(X0,X1,X2)))))
| sP28(X0,X1,X2) ),
inference(definition_unfolding,[],[f13453,f14052,f14052,f14052]) ).
fof(f14946,plain,
! [X2,X0,X1] :
( r2_hidden(sK497(X0,X1,X2),k1_relat_1(X2))
| r2_hidden(k2_tarski(k2_tarski(sK498(X0,X1,X2),sK499(X0,X1,X2)),k2_enumset1(sK498(X0,X1,X2),sK498(X0,X1,X2),sK498(X0,X1,X2),sK498(X0,X1,X2))),k1_relat_1(X0))
| sP28(X0,X1,X2) ),
inference(definition_unfolding,[],[f13452,f14052]) ).
fof(f14947,plain,
! [X2,X0,X1] :
( r2_hidden(sK497(X0,X1,X2),k1_relat_1(X2))
| r2_hidden(k2_tarski(k2_tarski(sK500(X0,X1,X2),sK501(X0,X1,X2)),k2_enumset1(sK500(X0,X1,X2),sK500(X0,X1,X2),sK500(X0,X1,X2),sK500(X0,X1,X2))),k1_relat_1(X1))
| sP28(X0,X1,X2) ),
inference(definition_unfolding,[],[f13451,f14052]) ).
fof(f14948,plain,
! [X2,X0,X1,X16,X14,X15,X12,X13] :
( ~ sP28(X0,X1,X2)
| ~ r2_hidden(k2_tarski(k2_tarski(X15,X16),k2_enumset1(X15,X15,X15,X15)),k1_relat_1(X1))
| ~ r2_hidden(k2_tarski(k2_tarski(X13,X14),k2_enumset1(X13,X13,X13,X13)),k1_relat_1(X0))
| k2_tarski(k2_tarski(k2_tarski(k2_tarski(X13,X15),k2_enumset1(X13,X13,X13,X13)),k2_tarski(k2_tarski(X14,X16),k2_enumset1(X14,X14,X14,X14))),k2_enumset1(k2_tarski(k2_tarski(X13,X15),k2_enumset1(X13,X13,X13,X13)),k2_tarski(k2_tarski(X13,X15),k2_enumset1(X13,X13,X13,X13)),k2_tarski(k2_tarski(X13,X15),k2_enumset1(X13,X13,X13,X13)),k2_tarski(k2_tarski(X13,X15),k2_enumset1(X13,X13,X13,X13)))) != X12
| r2_hidden(X12,k1_relat_1(X2)) ),
inference(definition_unfolding,[],[f13450,f14052,f14052,f14052,f14052,f14052]) ).
fof(f14949,plain,
! [X2,X0,X1,X12] :
( ~ sP28(X0,X1,X2)
| ~ r2_hidden(X12,k1_relat_1(X2))
| k2_tarski(k2_tarski(k2_tarski(k2_tarski(sK502(X0,X1,X12),sK504(X0,X1,X12)),k2_enumset1(sK502(X0,X1,X12),sK502(X0,X1,X12),sK502(X0,X1,X12),sK502(X0,X1,X12))),k2_tarski(k2_tarski(sK503(X0,X1,X12),sK505(X0,X1,X12)),k2_enumset1(sK503(X0,X1,X12),sK503(X0,X1,X12),sK503(X0,X1,X12),sK503(X0,X1,X12)))),k2_enumset1(k2_tarski(k2_tarski(sK502(X0,X1,X12),sK504(X0,X1,X12)),k2_enumset1(sK502(X0,X1,X12),sK502(X0,X1,X12),sK502(X0,X1,X12),sK502(X0,X1,X12))),k2_tarski(k2_tarski(sK502(X0,X1,X12),sK504(X0,X1,X12)),k2_enumset1(sK502(X0,X1,X12),sK502(X0,X1,X12),sK502(X0,X1,X12),sK502(X0,X1,X12))),k2_tarski(k2_tarski(sK502(X0,X1,X12),sK504(X0,X1,X12)),k2_enumset1(sK502(X0,X1,X12),sK502(X0,X1,X12),sK502(X0,X1,X12),sK502(X0,X1,X12))),k2_tarski(k2_tarski(sK502(X0,X1,X12),sK504(X0,X1,X12)),k2_enumset1(sK502(X0,X1,X12),sK502(X0,X1,X12),sK502(X0,X1,X12),sK502(X0,X1,X12))))) = X12 ),
inference(definition_unfolding,[],[f13449,f14052,f14052,f14052]) ).
fof(f14950,plain,
! [X2,X0,X1,X12] :
( ~ sP28(X0,X1,X2)
| ~ r2_hidden(X12,k1_relat_1(X2))
| r2_hidden(k2_tarski(k2_tarski(sK502(X0,X1,X12),sK503(X0,X1,X12)),k2_enumset1(sK502(X0,X1,X12),sK502(X0,X1,X12),sK502(X0,X1,X12),sK502(X0,X1,X12))),k1_relat_1(X0)) ),
inference(definition_unfolding,[],[f13448,f14052]) ).
fof(f14951,plain,
! [X2,X0,X1,X12] :
( ~ sP28(X0,X1,X2)
| ~ r2_hidden(X12,k1_relat_1(X2))
| r2_hidden(k2_tarski(k2_tarski(sK504(X0,X1,X12),sK505(X0,X1,X12)),k2_enumset1(sK504(X0,X1,X12),sK504(X0,X1,X12),sK504(X0,X1,X12),sK504(X0,X1,X12))),k1_relat_1(X1)) ),
inference(definition_unfolding,[],[f13447,f14052]) ).
fof(f15093,plain,
! [X2,X0,X1,X4] :
( g3_lattices(X0,k1_realset1(u2_lattices(X1),X0),X4) != X2
| k1_realset1(u1_lattices(X1),X0) != X4
| ~ m2_relset_1(X4,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X4,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X4)
| ~ m2_relset_1(k1_realset1(u2_lattices(X1),X0),k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(k1_realset1(u2_lattices(X1),X0),k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(k1_realset1(u2_lattices(X1),X0))
| sP0(X0,X1,X2) ),
inference(equality_resolution,[],[f10376]) ).
fof(f15094,plain,
! [X2,X0,X1] :
( g3_lattices(X0,k1_realset1(u2_lattices(X1),X0),k1_realset1(u1_lattices(X1),X0)) != X2
| ~ m2_relset_1(k1_realset1(u1_lattices(X1),X0),k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(k1_realset1(u1_lattices(X1),X0),k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(k1_realset1(u1_lattices(X1),X0))
| ~ m2_relset_1(k1_realset1(u2_lattices(X1),X0),k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(k1_realset1(u2_lattices(X1),X0),k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(k1_realset1(u2_lattices(X1),X0))
| sP0(X0,X1,X2) ),
inference(equality_resolution,[],[f15093]) ).
fof(f15095,plain,
! [X0,X1] :
( ~ m2_relset_1(k1_realset1(u1_lattices(X1),X0),k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(k1_realset1(u1_lattices(X1),X0),k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(k1_realset1(u1_lattices(X1),X0))
| ~ m2_relset_1(k1_realset1(u2_lattices(X1),X0),k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(k1_realset1(u2_lattices(X1),X0),k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(k1_realset1(u2_lattices(X1),X0))
| sP0(X0,X1,g3_lattices(X0,k1_realset1(u2_lattices(X1),X0),k1_realset1(u1_lattices(X1),X0))) ),
inference(equality_resolution,[],[f15094]) ).
fof(f15312,plain,
! [X2,X0,X1,X16,X14,X15,X13] :
( ~ sP28(X0,X1,X2)
| ~ r2_hidden(k2_tarski(k2_tarski(X15,X16),k2_enumset1(X15,X15,X15,X15)),k1_relat_1(X1))
| ~ r2_hidden(k2_tarski(k2_tarski(X13,X14),k2_enumset1(X13,X13,X13,X13)),k1_relat_1(X0))
| r2_hidden(k2_tarski(k2_tarski(k2_tarski(k2_tarski(X13,X15),k2_enumset1(X13,X13,X13,X13)),k2_tarski(k2_tarski(X14,X16),k2_enumset1(X14,X14,X14,X14))),k2_enumset1(k2_tarski(k2_tarski(X13,X15),k2_enumset1(X13,X13,X13,X13)),k2_tarski(k2_tarski(X13,X15),k2_enumset1(X13,X13,X13,X13)),k2_tarski(k2_tarski(X13,X15),k2_enumset1(X13,X13,X13,X13)),k2_tarski(k2_tarski(X13,X15),k2_enumset1(X13,X13,X13,X13)))),k1_relat_1(X2)) ),
inference(equality_resolution,[],[f14948]) ).
fof(f15335,plain,
! [X2,X3,X1,X6,X4] :
( ~ sP33(X6,X1,X2,X3,X4)
| r2_hidden(X6,X4) ),
inference(equality_resolution,[],[f13875]) ).
fof(f15336,plain,
! [X2,X3,X0,X6,X4] :
( ~ sP33(X0,X6,X2,X3,X4)
| r2_hidden(X6,X4) ),
inference(equality_resolution,[],[f13874]) ).
fof(f15337,plain,
! [X3,X0,X1,X6,X4] :
( ~ sP33(X0,X1,X6,X3,X4)
| r2_hidden(X6,X4) ),
inference(equality_resolution,[],[f13873]) ).
fof(f15338,plain,
! [X2,X0,X1,X6,X4] :
( ~ sP33(X0,X1,X2,X6,X4)
| r2_hidden(X6,X4) ),
inference(equality_resolution,[],[f13872]) ).
fof(f15348,plain,
! [X2,X3,X0] :
( ~ r1_xreal_0(k3_finseq_1(X2),sK565(X0,X2,X3))
| k1_rlvect_1(X0) != k8_funct_2(k5_numbers,u1_struct_0(X0),X3,np__0)
| ~ m2_relset_1(X3,k5_numbers,u1_struct_0(X0))
| ~ v1_funct_2(X3,k5_numbers,u1_struct_0(X0))
| ~ v1_funct_1(X3)
| sP34(X0,k8_funct_2(k5_numbers,u1_struct_0(X0),X3,k3_finseq_1(X2)),X2) ),
inference(equality_resolution,[],[f13964]) ).
fof(f15349,plain,
! [X2,X3,X0] :
( k8_funct_2(k5_numbers,u1_struct_0(X0),X3,k1_nat_1(sK565(X0,X2,X3),np__1)) != k2_rlvect_1(X0,k8_funct_2(k5_numbers,u1_struct_0(X0),X3,sK565(X0,X2,X3)),sK566(X0,X2,X3))
| k1_rlvect_1(X0) != k8_funct_2(k5_numbers,u1_struct_0(X0),X3,np__0)
| ~ m2_relset_1(X3,k5_numbers,u1_struct_0(X0))
| ~ v1_funct_2(X3,k5_numbers,u1_struct_0(X0))
| ~ v1_funct_1(X3)
| sP34(X0,k8_funct_2(k5_numbers,u1_struct_0(X0),X3,k3_finseq_1(X2)),X2) ),
inference(equality_resolution,[],[f13963]) ).
fof(f15350,plain,
! [X2,X3,X0] :
( sK566(X0,X2,X3) = k1_funct_1(X2,k1_nat_1(sK565(X0,X2,X3),np__1))
| k1_rlvect_1(X0) != k8_funct_2(k5_numbers,u1_struct_0(X0),X3,np__0)
| ~ m2_relset_1(X3,k5_numbers,u1_struct_0(X0))
| ~ v1_funct_2(X3,k5_numbers,u1_struct_0(X0))
| ~ v1_funct_1(X3)
| sP34(X0,k8_funct_2(k5_numbers,u1_struct_0(X0),X3,k3_finseq_1(X2)),X2) ),
inference(equality_resolution,[],[f13962]) ).
fof(f15351,plain,
! [X2,X3,X0] :
( m1_subset_1(sK566(X0,X2,X3),u1_struct_0(X0))
| k1_rlvect_1(X0) != k8_funct_2(k5_numbers,u1_struct_0(X0),X3,np__0)
| ~ m2_relset_1(X3,k5_numbers,u1_struct_0(X0))
| ~ v1_funct_2(X3,k5_numbers,u1_struct_0(X0))
| ~ v1_funct_1(X3)
| sP34(X0,k8_funct_2(k5_numbers,u1_struct_0(X0),X3,k3_finseq_1(X2)),X2) ),
inference(equality_resolution,[],[f13961]) ).
fof(f15352,plain,
! [X2,X3,X0] :
( m2_subset_1(sK565(X0,X2,X3),k1_numbers,k5_numbers)
| k1_rlvect_1(X0) != k8_funct_2(k5_numbers,u1_struct_0(X0),X3,np__0)
| ~ m2_relset_1(X3,k5_numbers,u1_struct_0(X0))
| ~ v1_funct_2(X3,k5_numbers,u1_struct_0(X0))
| ~ v1_funct_1(X3)
| sP34(X0,k8_funct_2(k5_numbers,u1_struct_0(X0),X3,k3_finseq_1(X2)),X2) ),
inference(equality_resolution,[],[f13960]) ).
fof(f15353,plain,
! [X2,X0,X1,X7] :
( ~ sP34(X0,X1,X2)
| ~ m2_subset_1(X7,k1_numbers,k5_numbers)
| ~ m1_subset_1(k1_funct_1(X2,k1_nat_1(X7,np__1)),u1_struct_0(X0))
| k8_funct_2(k5_numbers,u1_struct_0(X0),sK567(X0,X1,X2),k1_nat_1(X7,np__1)) = k2_rlvect_1(X0,k8_funct_2(k5_numbers,u1_struct_0(X0),sK567(X0,X1,X2),X7),k1_funct_1(X2,k1_nat_1(X7,np__1)))
| r1_xreal_0(k3_finseq_1(X2),X7) ),
inference(equality_resolution,[],[f13954]) ).
fof(f15357,plain,
! [X0,X1,X4] :
( ~ m1_subset_1(k1_funct_1(X1,sK570(X0,X1)),k8_qc_lang1)
| ~ m1_subset_1(X4,k8_qc_lang1)
| ~ r1_qc_lang2(k1_funct_1(X1,sK570(X0,X1)),X4)
| k1_funct_1(X1,k1_nat_1(sK570(X0,X1),np__1)) != X4
| sP36(X0,X1) ),
inference(equality_resolution,[],[f13984]) ).
fof(f15358,plain,
! [X0,X1] :
( ~ m1_subset_1(k1_funct_1(X1,sK570(X0,X1)),k8_qc_lang1)
| ~ m1_subset_1(k1_funct_1(X1,k1_nat_1(sK570(X0,X1),np__1)),k8_qc_lang1)
| ~ r1_qc_lang2(k1_funct_1(X1,sK570(X0,X1)),k1_funct_1(X1,k1_nat_1(sK570(X0,X1),np__1)))
| sP36(X0,X1) ),
inference(equality_resolution,[],[f15357]) ).
tcf(c_192,plain,
! [X0: $i,X1: $i] :
( sP0(X1,X0,g3_lattices(X1,k1_realset1(u2_lattices(X0),X1),k1_realset1(u1_lattices(X0),X1)))
| ~ v1_funct_1(k1_realset1(u1_lattices(X0),X1))
| ~ v1_funct_1(k1_realset1(u2_lattices(X0),X1))
| ~ m2_relset_1(k1_realset1(u1_lattices(X0),X1),k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(k1_realset1(u2_lattices(X0),X1),k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(k1_realset1(u1_lattices(X0),X1),k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(k1_realset1(u2_lattices(X0),X1),k2_zfmisc_1(X1,X1),X1) ),
inference(cnf_transformation,[],[f15095]) ).
tcf(c_193,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_funct_1(sK53(X0,X1,X2))
| ~ sP0(X0,X1,X2) ),
inference(cnf_transformation,[],[f10375]) ).
tcf(c_194,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_funct_2(sK53(X0,X1,X2),k2_zfmisc_1(X0,X0),X0)
| ~ sP0(X0,X1,X2) ),
inference(cnf_transformation,[],[f10374]) ).
tcf(c_195,plain,
! [X0: $i,X1: $i,X2: $i] :
( m2_relset_1(sK53(X0,X1,X2),k2_zfmisc_1(X0,X0),X0)
| ~ sP0(X0,X1,X2) ),
inference(cnf_transformation,[],[f10373]) ).
tcf(c_196,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_funct_1(sK54(X0,X1,X2))
| ~ sP0(X0,X1,X2) ),
inference(cnf_transformation,[],[f10372]) ).
tcf(c_197,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_funct_2(sK54(X0,X1,X2),k2_zfmisc_1(X0,X0),X0)
| ~ sP0(X0,X1,X2) ),
inference(cnf_transformation,[],[f10371]) ).
tcf(c_198,plain,
! [X0: $i,X1: $i,X2: $i] :
( m2_relset_1(sK54(X0,X1,X2),k2_zfmisc_1(X0,X0),X0)
| ~ sP0(X0,X1,X2) ),
inference(cnf_transformation,[],[f10370]) ).
tcf(c_199,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sK53(X0,X1,X2) = k1_realset1(u2_lattices(X1),X0) )
| ~ sP0(X0,X1,X2) ),
inference(cnf_transformation,[],[f10369]) ).
tcf(c_200,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sK54(X0,X1,X2) = k1_realset1(u1_lattices(X1),X0) )
| ~ sP0(X0,X1,X2) ),
inference(cnf_transformation,[],[f10368]) ).
tcf(c_201,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( g3_lattices(X0,sK53(X0,X1,X2),sK54(X0,X1,X2)) = X2 )
| ~ sP0(X0,X1,X2) ),
inference(cnf_transformation,[],[f10367]) ).
tcf(c_203,plain,
! [X0: $i,X1: $i] :
( ~ sP2(X1,X0)
| ~ v3_struct_0(k8_filter_0(X0,X1)) ),
inference(cnf_transformation,[],[f10386]) ).
tcf(c_204,plain,
! [X0: $i,X1: $i] :
( v3_lattices(k8_filter_0(X1,X0))
| ~ sP2(X0,X1) ),
inference(cnf_transformation,[],[f10385]) ).
tcf(c_205,plain,
! [X0: $i,X1: $i] :
( v4_lattices(k8_filter_0(X1,X0))
| ~ sP2(X0,X1) ),
inference(cnf_transformation,[],[f10384]) ).
tcf(c_206,plain,
! [X0: $i,X1: $i] :
( v5_lattices(k8_filter_0(X1,X0))
| ~ sP2(X0,X1) ),
inference(cnf_transformation,[],[f10383]) ).
tcf(c_207,plain,
! [X0: $i,X1: $i] :
( v6_lattices(k8_filter_0(X1,X0))
| ~ sP2(X0,X1) ),
inference(cnf_transformation,[],[f10382]) ).
tcf(c_208,plain,
! [X0: $i,X1: $i] :
( v7_lattices(k8_filter_0(X1,X0))
| ~ sP2(X0,X1) ),
inference(cnf_transformation,[],[f10381]) ).
tcf(c_209,plain,
! [X0: $i,X1: $i] :
( v8_lattices(k8_filter_0(X1,X0))
| ~ sP2(X0,X1) ),
inference(cnf_transformation,[],[f10380]) ).
tcf(c_210,plain,
! [X0: $i,X1: $i] :
( v9_lattices(k8_filter_0(X1,X0))
| ~ sP2(X0,X1) ),
inference(cnf_transformation,[],[f10379]) ).
tcf(c_211,plain,
! [X0: $i,X1: $i] :
( v10_lattices(k8_filter_0(X1,X0))
| ~ sP2(X0,X1) ),
inference(cnf_transformation,[],[f10378]) ).
tcf(c_233,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| v3_struct_0(X0)
| sP3(X0,X1)
| ~ l3_lattices(X1)
| ~ l3_lattices(X0)
| ~ v17_lattices(X1)
| ~ v17_lattices(X0)
| ~ v10_lattices(X1)
| ~ v10_lattices(X0) ),
inference(cnf_transformation,[],[f10416]) ).
tcf(c_234,plain,
! [X0: $i,X1: $i] :
( ~ v3_struct_0(X0)
| ~ sP3(X0,X1) ),
inference(cnf_transformation,[],[f10415]) ).
tcf(c_235,plain,
! [X0: $i,X1: $i] :
( v10_lattices(X0)
| ~ sP3(X0,X1) ),
inference(cnf_transformation,[],[f10414]) ).
tcf(c_236,plain,
! [X0: $i,X1: $i] :
( v17_lattices(X0)
| ~ sP3(X0,X1) ),
inference(cnf_transformation,[],[f10413]) ).
tcf(c_237,plain,
! [X0: $i,X1: $i] :
( l3_lattices(X0)
| ~ sP3(X0,X1) ),
inference(cnf_transformation,[],[f10412]) ).
tcf(c_238,plain,
! [X0: $i,X1: $i] :
( ~ v3_struct_0(X1)
| ~ sP3(X0,X1) ),
inference(cnf_transformation,[],[f10411]) ).
tcf(c_239,plain,
! [X0: $i,X1: $i] :
( v10_lattices(X1)
| ~ sP3(X0,X1) ),
inference(cnf_transformation,[],[f10410]) ).
tcf(c_240,plain,
! [X0: $i,X1: $i] :
( v17_lattices(X1)
| ~ sP3(X0,X1) ),
inference(cnf_transformation,[],[f10409]) ).
tcf(c_241,plain,
! [X0: $i,X1: $i] :
( l3_lattices(X1)
| ~ sP3(X0,X1) ),
inference(cnf_transformation,[],[f10408]) ).
tcf(c_257,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| v3_struct_0(X0)
| sP5(X0,X1)
| ~ v11_lattices(X1)
| ~ v11_lattices(X0)
| ~ l3_lattices(X1)
| ~ l3_lattices(X0)
| ~ v10_lattices(X1)
| ~ v10_lattices(X0) ),
inference(cnf_transformation,[],[f10440]) ).
tcf(c_258,plain,
! [X0: $i,X1: $i] :
( ~ v3_struct_0(X0)
| ~ sP5(X0,X1) ),
inference(cnf_transformation,[],[f10439]) ).
tcf(c_259,plain,
! [X0: $i,X1: $i] :
( v10_lattices(X0)
| ~ sP5(X0,X1) ),
inference(cnf_transformation,[],[f10438]) ).
tcf(c_260,plain,
! [X0: $i,X1: $i] :
( v11_lattices(X0)
| ~ sP5(X0,X1) ),
inference(cnf_transformation,[],[f10437]) ).
tcf(c_261,plain,
! [X0: $i,X1: $i] :
( l3_lattices(X0)
| ~ sP5(X0,X1) ),
inference(cnf_transformation,[],[f10436]) ).
tcf(c_262,plain,
! [X0: $i,X1: $i] :
( ~ v3_struct_0(X1)
| ~ sP5(X0,X1) ),
inference(cnf_transformation,[],[f10435]) ).
tcf(c_263,plain,
! [X0: $i,X1: $i] :
( v10_lattices(X1)
| ~ sP5(X0,X1) ),
inference(cnf_transformation,[],[f10434]) ).
tcf(c_264,plain,
! [X0: $i,X1: $i] :
( v11_lattices(X1)
| ~ sP5(X0,X1) ),
inference(cnf_transformation,[],[f10433]) ).
tcf(c_265,plain,
! [X0: $i,X1: $i] :
( l3_lattices(X1)
| ~ sP5(X0,X1) ),
inference(cnf_transformation,[],[f10432]) ).
tcf(c_269,plain,
! [X0: $i,X1: $i] :
( ~ sP7(X1,X0)
| ~ v3_struct_0(k8_filter_1(X0,X1)) ),
inference(cnf_transformation,[],[f10456]) ).
tcf(c_270,plain,
! [X0: $i,X1: $i] :
( v3_lattices(k8_filter_1(X1,X0))
| ~ sP7(X0,X1) ),
inference(cnf_transformation,[],[f10455]) ).
tcf(c_271,plain,
! [X0: $i,X1: $i] :
( v4_lattices(k8_filter_1(X1,X0))
| ~ sP7(X0,X1) ),
inference(cnf_transformation,[],[f10454]) ).
tcf(c_272,plain,
! [X0: $i,X1: $i] :
( v5_lattices(k8_filter_1(X1,X0))
| ~ sP7(X0,X1) ),
inference(cnf_transformation,[],[f10453]) ).
tcf(c_273,plain,
! [X0: $i,X1: $i] :
( v6_lattices(k8_filter_1(X1,X0))
| ~ sP7(X0,X1) ),
inference(cnf_transformation,[],[f10452]) ).
tcf(c_274,plain,
! [X0: $i,X1: $i] :
( v7_lattices(k8_filter_1(X1,X0))
| ~ sP7(X0,X1) ),
inference(cnf_transformation,[],[f10451]) ).
tcf(c_275,plain,
! [X0: $i,X1: $i] :
( v8_lattices(k8_filter_1(X1,X0))
| ~ sP7(X0,X1) ),
inference(cnf_transformation,[],[f10450]) ).
tcf(c_276,plain,
! [X0: $i,X1: $i] :
( v9_lattices(k8_filter_1(X1,X0))
| ~ sP7(X0,X1) ),
inference(cnf_transformation,[],[f10449]) ).
tcf(c_277,plain,
! [X0: $i,X1: $i] :
( v10_lattices(k8_filter_1(X1,X0))
| ~ sP7(X0,X1) ),
inference(cnf_transformation,[],[f10448]) ).
tcf(c_428,plain,
! [X0: $i,X1: $i] :
( sP8(X0,X1)
| ~ r2_hidden(sK65(X0,X1),X0) ),
inference(cnf_transformation,[],[f10613]) ).
tcf(c_429,plain,
! [X0: $i,X1: $i] :
( sP8(X0,X1)
| r2_hidden(sK64(X0,X1),X0) ),
inference(cnf_transformation,[],[f10612]) ).
tcf(c_430,plain,
! [X0: $i,X1: $i] :
( sP8(X1,X0)
| r3_lattices(X0,sK64(X1,X0),sK65(X1,X0)) ),
inference(cnf_transformation,[],[f10611]) ).
tcf(c_431,plain,
! [X0: $i,X1: $i] :
( sP8(X0,X1)
| m1_subset_1(sK65(X0,X1),u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f10610]) ).
tcf(c_432,plain,
! [X0: $i,X1: $i] :
( sP8(X0,X1)
| m1_subset_1(sK64(X0,X1),u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f10609]) ).
tcf(c_433,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r2_hidden(X2,X3)
| ~ sP8(X3,X0)
| ~ r2_hidden(X1,X3)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ r3_lattices(X0,X1,X2) ),
inference(cnf_transformation,[],[f10608]) ).
tcf(c_764,plain,
! [X0: $i] :
( ~ sP9(X0)
| ( sK131(X0) != sK132(X0) ) ),
inference(cnf_transformation,[],[f10964]) ).
tcf(c_765,plain,
! [X0: $i] :
( r2_hidden(k2_tarski(k2_tarski(sK130(X0),sK131(X0)),k2_enumset1(sK130(X0),sK130(X0),sK130(X0),sK130(X0))),X0)
| ~ sP9(X0) ),
inference(cnf_transformation,[],[f14351]) ).
tcf(c_766,plain,
! [X0: $i] :
( r2_hidden(k2_tarski(k2_tarski(sK130(X0),sK132(X0)),k2_enumset1(sK130(X0),sK130(X0),sK130(X0),sK130(X0))),X0)
| ~ sP9(X0) ),
inference(cnf_transformation,[],[f14352]) ).
tcf(c_875,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| v3_struct_0(X0)
| sP10(X0,X1)
| ~ v16_lattices(X1)
| ~ v16_lattices(X0)
| ~ v15_lattices(X1)
| ~ v15_lattices(X0)
| ~ l3_lattices(X1)
| ~ l3_lattices(X0)
| ~ v10_lattices(X1)
| ~ v10_lattices(X0) ),
inference(cnf_transformation,[],[f11083]) ).
tcf(c_876,plain,
! [X0: $i,X1: $i] :
( ~ v3_struct_0(X0)
| ~ sP10(X0,X1) ),
inference(cnf_transformation,[],[f11082]) ).
tcf(c_877,plain,
! [X0: $i,X1: $i] :
( v10_lattices(X0)
| ~ sP10(X0,X1) ),
inference(cnf_transformation,[],[f11081]) ).
tcf(c_878,plain,
! [X0: $i,X1: $i] :
( v15_lattices(X0)
| ~ sP10(X0,X1) ),
inference(cnf_transformation,[],[f11080]) ).
tcf(c_879,plain,
! [X0: $i,X1: $i] :
( v16_lattices(X0)
| ~ sP10(X0,X1) ),
inference(cnf_transformation,[],[f11079]) ).
tcf(c_880,plain,
! [X0: $i,X1: $i] :
( l3_lattices(X0)
| ~ sP10(X0,X1) ),
inference(cnf_transformation,[],[f11078]) ).
tcf(c_881,plain,
! [X0: $i,X1: $i] :
( ~ v3_struct_0(X1)
| ~ sP10(X0,X1) ),
inference(cnf_transformation,[],[f11077]) ).
tcf(c_882,plain,
! [X0: $i,X1: $i] :
( v10_lattices(X1)
| ~ sP10(X0,X1) ),
inference(cnf_transformation,[],[f11076]) ).
tcf(c_883,plain,
! [X0: $i,X1: $i] :
( v15_lattices(X1)
| ~ sP10(X0,X1) ),
inference(cnf_transformation,[],[f11075]) ).
tcf(c_884,plain,
! [X0: $i,X1: $i] :
( v16_lattices(X1)
| ~ sP10(X0,X1) ),
inference(cnf_transformation,[],[f11074]) ).
tcf(c_885,plain,
! [X0: $i,X1: $i] :
( l3_lattices(X1)
| ~ sP10(X0,X1) ),
inference(cnf_transformation,[],[f11073]) ).
tcf(c_897,plain,
! [X0: $i] :
( v15_lattices(X0)
| ~ sP12(X0) ),
inference(cnf_transformation,[],[f11085]) ).
tcf(c_1037,plain,
! [X0: $i] :
( ~ sP13(X0)
| ~ v3_struct_0(k1_lattice2(X0)) ),
inference(cnf_transformation,[],[f11247]) ).
tcf(c_1038,plain,
! [X0: $i] :
( v3_lattices(k1_lattice2(X0))
| ~ sP13(X0) ),
inference(cnf_transformation,[],[f11246]) ).
tcf(c_1039,plain,
! [X0: $i] :
( v4_lattices(k1_lattice2(X0))
| ~ sP13(X0) ),
inference(cnf_transformation,[],[f11245]) ).
tcf(c_1040,plain,
! [X0: $i] :
( v5_lattices(k1_lattice2(X0))
| ~ sP13(X0) ),
inference(cnf_transformation,[],[f11244]) ).
tcf(c_1041,plain,
! [X0: $i] :
( v6_lattices(k1_lattice2(X0))
| ~ sP13(X0) ),
inference(cnf_transformation,[],[f11243]) ).
tcf(c_1042,plain,
! [X0: $i] :
( v7_lattices(k1_lattice2(X0))
| ~ sP13(X0) ),
inference(cnf_transformation,[],[f11242]) ).
tcf(c_1043,plain,
! [X0: $i] :
( v8_lattices(k1_lattice2(X0))
| ~ sP13(X0) ),
inference(cnf_transformation,[],[f11241]) ).
tcf(c_1044,plain,
! [X0: $i] :
( v9_lattices(k1_lattice2(X0))
| ~ sP13(X0) ),
inference(cnf_transformation,[],[f11240]) ).
tcf(c_1045,plain,
! [X0: $i] :
( v10_lattices(k1_lattice2(X0))
| ~ sP13(X0) ),
inference(cnf_transformation,[],[f11239]) ).
tcf(c_1196,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP14(X0,X1)
| ~ v3_pre_topc(X2,X0)
| ~ r1_tarski(X2,X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
| ~ r2_hidden(sK205(X0,X1),X2)
| ~ r2_hidden(sK205(X0,X1),X1) ),
inference(cnf_transformation,[],[f11419]) ).
tcf(c_1197,plain,
! [X0: $i,X1: $i] :
( sP14(X0,X1)
| r2_hidden(sK205(X0,X1),X1)
| m1_subset_1(sK206(X0,X1),k1_zfmisc_1(u1_struct_0(X0))) ),
inference(cnf_transformation,[],[f11418]) ).
tcf(c_1198,plain,
! [X0: $i,X1: $i] :
( sP14(X0,X1)
| v3_pre_topc(sK206(X0,X1),X0)
| r2_hidden(sK205(X0,X1),X1) ),
inference(cnf_transformation,[],[f11417]) ).
tcf(c_1199,plain,
! [X0: $i,X1: $i] :
( sP14(X0,X1)
| r2_hidden(sK205(X0,X1),X1)
| r1_tarski(sK206(X0,X1),X1) ),
inference(cnf_transformation,[],[f11416]) ).
tcf(c_1200,plain,
! [X0: $i,X1: $i] :
( sP14(X0,X1)
| r2_hidden(sK205(X0,X1),X1)
| r2_hidden(sK205(X0,X1),sK206(X0,X1)) ),
inference(cnf_transformation,[],[f11415]) ).
tcf(c_1202,plain,
! [X0: $i,X1: $i,X2: $i] :
( m1_subset_1(sK207(X2,X1,X0),k1_zfmisc_1(u1_struct_0(X2)))
| ~ sP14(X2,X1)
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f11413]) ).
tcf(c_1203,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_pre_topc(sK207(X2,X1,X0),X2)
| ~ sP14(X2,X1)
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f11412]) ).
tcf(c_1204,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(sK207(X2,X1,X0),X1)
| ~ sP14(X2,X1)
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f11411]) ).
tcf(c_1205,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(X0,sK207(X2,X1,X0))
| ~ sP14(X2,X1)
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f11410]) ).
tcf(c_1238,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP16(X0,X1,X2)
| v3_pre_topc(sK214(X0,X1,X2),X0)
| ~ r2_hidden(sK213(X0,X1,X2),X2) ),
inference(cnf_transformation,[],[f11462]) ).
tcf(c_1239,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP16(X0,X1,X2)
| r2_hidden(sK213(X0,X1,X2),sK214(X0,X1,X2))
| ~ r2_hidden(sK213(X0,X1,X2),X2) ),
inference(cnf_transformation,[],[f11461]) ).
tcf(c_1240,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP16(X0,X1,X2)
| r1_xboole_0(X1,sK214(X0,X1,X2))
| ~ r2_hidden(sK213(X0,X1,X2),X2) ),
inference(cnf_transformation,[],[f11460]) ).
tcf(c_1241,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP16(X0,X1,X2)
| m1_subset_1(sK214(X0,X1,X2),k1_zfmisc_1(u1_struct_0(X0)))
| ~ r2_hidden(sK213(X0,X1,X2),X2) ),
inference(cnf_transformation,[],[f11459]) ).
tcf(c_1242,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sP16(X0,X1,X2)
| r2_hidden(sK213(X0,X1,X2),X2)
| ~ r1_xboole_0(X1,X3)
| ~ v3_pre_topc(X3,X0)
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0)))
| ~ r2_hidden(sK213(X0,X1,X2),X3) ),
inference(cnf_transformation,[],[f11458]) ).
tcf(c_1243,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP16(X0,X1,X2)
| r2_hidden(sK213(X0,X1,X2),u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f11457]) ).
tcf(c_1244,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r2_hidden(X3,X2)
| v3_pre_topc(sK215(X0,X1,X3),X0)
| ~ r2_hidden(X3,u1_struct_0(X0))
| ~ sP16(X0,X1,X2) ),
inference(cnf_transformation,[],[f11456]) ).
tcf(c_1245,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r2_hidden(X3,X2)
| r2_hidden(X3,sK215(X0,X1,X3))
| ~ r2_hidden(X3,u1_struct_0(X0))
| ~ sP16(X0,X1,X2) ),
inference(cnf_transformation,[],[f11455]) ).
tcf(c_1246,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r2_hidden(X3,X2)
| r1_xboole_0(X1,sK215(X0,X1,X3))
| ~ r2_hidden(X3,u1_struct_0(X0))
| ~ sP16(X0,X1,X2) ),
inference(cnf_transformation,[],[f11454]) ).
tcf(c_1247,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r2_hidden(X3,X2)
| m1_subset_1(sK215(X0,X1,X3),k1_zfmisc_1(u1_struct_0(X0)))
| ~ r2_hidden(X3,u1_struct_0(X0))
| ~ sP16(X0,X1,X2) ),
inference(cnf_transformation,[],[f11453]) ).
tcf(c_1248,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ r1_xboole_0(X2,X0)
| ~ v3_pre_topc(X0,X1)
| ~ r2_hidden(X4,X3)
| ~ r2_hidden(X4,X0)
| ~ r2_hidden(X4,u1_struct_0(X1))
| ~ sP16(X1,X2,X3)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(cnf_transformation,[],[f11452]) ).
tcf(c_1826,plain,
! [X0: $i] :
( v14_lattices(X0)
| ~ sP18(X0) ),
inference(cnf_transformation,[],[f12032]) ).
tcf(c_1836,plain,
! [X0: $i] :
( v13_lattices(X0)
| ~ sP19(X0) ),
inference(cnf_transformation,[],[f12042]) ).
tcf(c_1878,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( sP20(X0,X1,X2,X3,X4,X5)
| ( sK285(X0,X1,X2,X3,X4,X5) != np__0 ) ),
inference(cnf_transformation,[],[f14530]) ).
tcf(c_1879,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( sP20(X4,X0,X2,X3,X1,X5)
| ( k2_binop_1(X0,X0,X0,X1,k8_funct_2(k5_finsub_1(X2),X0,X3,sK285(X4,X0,X2,X3,X1,X5)),k8_funct_2(X2,X0,X4,sK286(X4,X0,X2,X3,X1,X5))) != k8_funct_2(k5_finsub_1(X2),X0,X3,k5_setwiseo(X2,sK285(X4,X0,X2,X3,X1,X5),k2_setwiseo(X2,sK286(X4,X0,X2,X3,X1,X5)))) ) ),
inference(cnf_transformation,[],[f12097]) ).
tcf(c_1880,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( sP20(X0,X1,X2,X3,X4,X5)
| r2_hidden(sK286(X0,X1,X2,X3,X4,X5),X5) ),
inference(cnf_transformation,[],[f12096]) ).
tcf(c_1881,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( sP20(X0,X1,X2,X3,X4,X5)
| m1_subset_1(sK286(X0,X1,X2,X3,X4,X5),X2) ),
inference(cnf_transformation,[],[f12095]) ).
tcf(c_1882,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( sP20(X0,X1,X2,X3,X4,X5)
| r1_tarski(sK285(X0,X1,X2,X3,X4,X5),X5) ),
inference(cnf_transformation,[],[f12094]) ).
tcf(c_1883,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( sP20(X0,X1,X2,X3,X4,X5)
| m1_subset_1(sK285(X0,X1,X2,X3,X4,X5),k5_finsub_1(X2)) ),
inference(cnf_transformation,[],[f12093]) ).
tcf(c_1884,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( ( X6 = np__0 )
| ( k2_binop_1(X1,X1,X1,X4,k8_funct_2(k5_finsub_1(X2),X1,X3,X6),k8_funct_2(X2,X1,X0,X7)) = k8_funct_2(k5_finsub_1(X2),X1,X3,k5_setwiseo(X2,X6,k2_setwiseo(X2,X7))) )
| ~ r2_hidden(X7,X5)
| ~ r1_tarski(X6,X5)
| ~ m1_subset_1(X7,X2)
| ~ m1_subset_1(X6,k5_finsub_1(X2))
| ~ sP20(X0,X1,X2,X3,X4,X5) ),
inference(cnf_transformation,[],[f14531]) ).
tcf(c_2225,plain,
! [X0: $i] :
( sP23(X0)
| ( sK345(X0) != sK346(X0) ) ),
inference(cnf_transformation,[],[f12450]) ).
tcf(c_2226,plain,
! [X0: $i] :
( sP23(X0)
| r1_tarski(k2_relat_1(sK345(X0)),k1_relat_1(X0)) ),
inference(cnf_transformation,[],[f12449]) ).
tcf(c_2227,plain,
! [X0: $i] :
( sP23(X0)
| r1_tarski(k2_relat_1(sK346(X0)),k1_relat_1(X0)) ),
inference(cnf_transformation,[],[f12448]) ).
tcf(c_2228,plain,
! [X0: $i] :
( sP23(X0)
| ( k1_relat_1(sK345(X0)) = k1_relat_1(sK346(X0)) ) ),
inference(cnf_transformation,[],[f12447]) ).
tcf(c_2229,plain,
! [X0: $i] :
( sP23(X0)
| ( k5_relat_1(sK345(X0),X0) = k5_relat_1(sK346(X0),X0) ) ),
inference(cnf_transformation,[],[f12446]) ).
tcf(c_2230,plain,
! [X0: $i] :
( sP23(X0)
| v1_relat_1(sK346(X0)) ),
inference(cnf_transformation,[],[f12445]) ).
tcf(c_2231,plain,
! [X0: $i] :
( sP23(X0)
| v1_funct_1(sK346(X0)) ),
inference(cnf_transformation,[],[f12444]) ).
tcf(c_2232,plain,
! [X0: $i] :
( sP23(X0)
| v1_relat_1(sK345(X0)) ),
inference(cnf_transformation,[],[f12443]) ).
tcf(c_2233,plain,
! [X0: $i] :
( sP23(X0)
| v1_funct_1(sK345(X0)) ),
inference(cnf_transformation,[],[f12442]) ).
tcf(c_2234,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X2 )
| ~ sP23(X1)
| ~ v1_relat_1(X2)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X0)
| ~ r1_tarski(k2_relat_1(X2),k1_relat_1(X1))
| ~ r1_tarski(k2_relat_1(X0),k1_relat_1(X1))
| ( k1_relat_1(X0) != k1_relat_1(X2) )
| ( k5_relat_1(X0,X1) != k5_relat_1(X2,X1) ) ),
inference(cnf_transformation,[],[f12441]) ).
tcf(c_2785,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP25(X1,X0,X2)
| ( k1_funct_1(X0,k1_nat_1(k3_finseq_1(X1),sK422(X1,X0,X2))) != k1_funct_1(X2,sK422(X1,X0,X2)) ) ),
inference(cnf_transformation,[],[f13017]) ).
tcf(c_2786,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP25(X0,X1,X2)
| r2_hidden(sK422(X0,X1,X2),k4_finseq_1(X2)) ),
inference(cnf_transformation,[],[f13016]) ).
tcf(c_2787,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP25(X0,X1,X2)
| m2_subset_1(sK422(X0,X1,X2),k1_numbers,k5_numbers) ),
inference(cnf_transformation,[],[f13015]) ).
tcf(c_2788,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( k1_funct_1(X1,k1_nat_1(k3_finseq_1(X0),X3)) = k1_funct_1(X2,X3) )
| ~ m2_subset_1(X3,k1_numbers,k5_numbers)
| ~ r2_hidden(X3,k4_finseq_1(X2))
| ~ sP25(X0,X1,X2) ),
inference(cnf_transformation,[],[f13014]) ).
tcf(c_2844,plain,
! [X0: $i,X1: $i] :
( v2_funct_1(X1)
| ~ sP26(X0,X1)
| ( sK434(X0,X1) != sK435(X0,X1) ) ),
inference(cnf_transformation,[],[f13077]) ).
tcf(c_2845,plain,
! [X0: $i,X1: $i] :
( v2_funct_1(X1)
| r2_hidden(sK434(X0,X1),X0)
| ~ sP26(X0,X1) ),
inference(cnf_transformation,[],[f13076]) ).
tcf(c_2846,plain,
! [X0: $i,X1: $i] :
( v2_funct_1(X1)
| r2_hidden(sK435(X0,X1),X0)
| ~ sP26(X0,X1) ),
inference(cnf_transformation,[],[f13075]) ).
tcf(c_2847,plain,
! [X0: $i,X1: $i] :
( v2_funct_1(X1)
| ( k1_funct_1(X1,sK434(X0,X1)) = k1_funct_1(X1,sK435(X0,X1)) )
| ~ sP26(X0,X1) ),
inference(cnf_transformation,[],[f13074]) ).
tcf(c_2848,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X1 = X2 )
| ~ v2_funct_1(X0)
| ~ sP26(X3,X0)
| ~ r2_hidden(X2,X3)
| ~ r2_hidden(X1,X3)
| ( k1_funct_1(X0,X1) != k1_funct_1(X0,X2) ) ),
inference(cnf_transformation,[],[f13073]) ).
tcf(c_3002,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( k7_funct_2(X4,X3,X2,X1,sK465(X0,X1,X2,X3,X4)) = X0 )
| ~ sP27(X0,X1,X2,X3,X4) ),
inference(cnf_transformation,[],[f13240]) ).
tcf(c_3003,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( v1_funct_1(sK465(X0,X1,X2,X3,X4))
| ~ sP27(X0,X1,X2,X3,X4) ),
inference(cnf_transformation,[],[f13239]) ).
tcf(c_3004,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( v1_funct_2(sK465(X0,X1,X2,X3,X4),X3,X2)
| ~ sP27(X0,X1,X2,X3,X4) ),
inference(cnf_transformation,[],[f13238]) ).
tcf(c_3005,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( m2_relset_1(sK465(X0,X1,X2,X3,X4),X3,X2)
| ~ sP27(X0,X1,X2,X3,X4) ),
inference(cnf_transformation,[],[f13237]) ).
tcf(c_3212,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( sP28(X4,X5,X6)
| ~ r2_hidden(sK497(X4,X5,X6),k1_relat_1(X6))
| ~ r2_hidden(k2_tarski(k2_tarski(X1,X3),k2_enumset1(X1,X1,X1,X1)),k1_relat_1(X5))
| ~ r2_hidden(k2_tarski(k2_tarski(X0,X2),k2_enumset1(X0,X0,X0,X0)),k1_relat_1(X4))
| ( k2_tarski(k2_tarski(k2_tarski(k2_tarski(X0,X1),k2_enumset1(X0,X0,X0,X0)),k2_tarski(k2_tarski(X2,X3),k2_enumset1(X2,X2,X2,X2))),k2_enumset1(k2_tarski(k2_tarski(X0,X1),k2_enumset1(X0,X0,X0,X0)),k2_tarski(k2_tarski(X0,X1),k2_enumset1(X0,X0,X0,X0)),k2_tarski(k2_tarski(X0,X1),k2_enumset1(X0,X0,X0,X0)),k2_tarski(k2_tarski(X0,X1),k2_enumset1(X0,X0,X0,X0)))) != sK497(X4,X5,X6) ) ),
inference(cnf_transformation,[],[f14944]) ).
tcf(c_3213,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP28(X0,X1,X2)
| r2_hidden(sK497(X0,X1,X2),k1_relat_1(X2))
| ( k2_tarski(k2_tarski(k2_tarski(k2_tarski(sK498(X0,X1,X2),sK500(X0,X1,X2)),k2_enumset1(sK498(X0,X1,X2),sK498(X0,X1,X2),sK498(X0,X1,X2),sK498(X0,X1,X2))),k2_tarski(k2_tarski(sK499(X0,X1,X2),sK501(X0,X1,X2)),k2_enumset1(sK499(X0,X1,X2),sK499(X0,X1,X2),sK499(X0,X1,X2),sK499(X0,X1,X2)))),k2_enumset1(k2_tarski(k2_tarski(sK498(X0,X1,X2),sK500(X0,X1,X2)),k2_enumset1(sK498(X0,X1,X2),sK498(X0,X1,X2),sK498(X0,X1,X2),sK498(X0,X1,X2))),k2_tarski(k2_tarski(sK498(X0,X1,X2),sK500(X0,X1,X2)),k2_enumset1(sK498(X0,X1,X2),sK498(X0,X1,X2),sK498(X0,X1,X2),sK498(X0,X1,X2))),k2_tarski(k2_tarski(sK498(X0,X1,X2),sK500(X0,X1,X2)),k2_enumset1(sK498(X0,X1,X2),sK498(X0,X1,X2),sK498(X0,X1,X2),sK498(X0,X1,X2))),k2_tarski(k2_tarski(sK498(X0,X1,X2),sK500(X0,X1,X2)),k2_enumset1(sK498(X0,X1,X2),sK498(X0,X1,X2),sK498(X0,X1,X2),sK498(X0,X1,X2))))) = sK497(X0,X1,X2) ) ),
inference(cnf_transformation,[],[f14945]) ).
tcf(c_3214,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP28(X0,X1,X2)
| r2_hidden(sK497(X0,X1,X2),k1_relat_1(X2))
| r2_hidden(k2_tarski(k2_tarski(sK498(X0,X1,X2),sK499(X0,X1,X2)),k2_enumset1(sK498(X0,X1,X2),sK498(X0,X1,X2),sK498(X0,X1,X2),sK498(X0,X1,X2))),k1_relat_1(X0)) ),
inference(cnf_transformation,[],[f14946]) ).
tcf(c_3215,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP28(X0,X1,X2)
| r2_hidden(sK497(X0,X1,X2),k1_relat_1(X2))
| r2_hidden(k2_tarski(k2_tarski(sK500(X0,X1,X2),sK501(X0,X1,X2)),k2_enumset1(sK500(X0,X1,X2),sK500(X0,X1,X2),sK500(X0,X1,X2),sK500(X0,X1,X2))),k1_relat_1(X1)) ),
inference(cnf_transformation,[],[f14947]) ).
tcf(c_3216,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( r2_hidden(k2_tarski(k2_tarski(k2_tarski(k2_tarski(X0,X3),k2_enumset1(X0,X0,X0,X0)),k2_tarski(k2_tarski(X1,X4),k2_enumset1(X1,X1,X1,X1))),k2_enumset1(k2_tarski(k2_tarski(X0,X3),k2_enumset1(X0,X0,X0,X0)),k2_tarski(k2_tarski(X0,X3),k2_enumset1(X0,X0,X0,X0)),k2_tarski(k2_tarski(X0,X3),k2_enumset1(X0,X0,X0,X0)),k2_tarski(k2_tarski(X0,X3),k2_enumset1(X0,X0,X0,X0)))),k1_relat_1(X6))
| ~ sP28(X2,X5,X6)
| ~ r2_hidden(k2_tarski(k2_tarski(X3,X4),k2_enumset1(X3,X3,X3,X3)),k1_relat_1(X5))
| ~ r2_hidden(k2_tarski(k2_tarski(X0,X1),k2_enumset1(X0,X0,X0,X0)),k1_relat_1(X2)) ),
inference(cnf_transformation,[],[f15312]) ).
tcf(c_3217,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( k2_tarski(k2_tarski(k2_tarski(k2_tarski(sK502(X0,X1,X3),sK504(X0,X1,X3)),k2_enumset1(sK502(X0,X1,X3),sK502(X0,X1,X3),sK502(X0,X1,X3),sK502(X0,X1,X3))),k2_tarski(k2_tarski(sK503(X0,X1,X3),sK505(X0,X1,X3)),k2_enumset1(sK503(X0,X1,X3),sK503(X0,X1,X3),sK503(X0,X1,X3),sK503(X0,X1,X3)))),k2_enumset1(k2_tarski(k2_tarski(sK502(X0,X1,X3),sK504(X0,X1,X3)),k2_enumset1(sK502(X0,X1,X3),sK502(X0,X1,X3),sK502(X0,X1,X3),sK502(X0,X1,X3))),k2_tarski(k2_tarski(sK502(X0,X1,X3),sK504(X0,X1,X3)),k2_enumset1(sK502(X0,X1,X3),sK502(X0,X1,X3),sK502(X0,X1,X3),sK502(X0,X1,X3))),k2_tarski(k2_tarski(sK502(X0,X1,X3),sK504(X0,X1,X3)),k2_enumset1(sK502(X0,X1,X3),sK502(X0,X1,X3),sK502(X0,X1,X3),sK502(X0,X1,X3))),k2_tarski(k2_tarski(sK502(X0,X1,X3),sK504(X0,X1,X3)),k2_enumset1(sK502(X0,X1,X3),sK502(X0,X1,X3),sK502(X0,X1,X3),sK502(X0,X1,X3))))) = X3 )
| ~ r2_hidden(X3,k1_relat_1(X2))
| ~ sP28(X0,X1,X2) ),
inference(cnf_transformation,[],[f14949]) ).
tcf(c_3218,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r2_hidden(k2_tarski(k2_tarski(sK502(X0,X1,X3),sK503(X0,X1,X3)),k2_enumset1(sK502(X0,X1,X3),sK502(X0,X1,X3),sK502(X0,X1,X3),sK502(X0,X1,X3))),k1_relat_1(X0))
| ~ r2_hidden(X3,k1_relat_1(X2))
| ~ sP28(X0,X1,X2) ),
inference(cnf_transformation,[],[f14950]) ).
tcf(c_3219,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r2_hidden(k2_tarski(k2_tarski(sK504(X0,X1,X3),sK505(X0,X1,X3)),k2_enumset1(sK504(X0,X1,X3),sK504(X0,X1,X3),sK504(X0,X1,X3),sK504(X0,X1,X3))),k1_relat_1(X1))
| ~ r2_hidden(X3,k1_relat_1(X2))
| ~ sP28(X0,X1,X2) ),
inference(cnf_transformation,[],[f14951]) ).
tcf(c_3278,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP29(X0,X2,X1)
| ~ r2_hidden(sK518(X0,X2,X1),k1_relat_1(X1))
| ~ r2_hidden(sK518(X0,X2,X1),k1_relat_1(X0))
| ~ r2_hidden(k1_funct_1(X0,sK518(X0,X2,X1)),X2)
| ( k1_funct_1(X0,sK519(X0,X1)) != k1_funct_1(X1,sK519(X0,X1)) ) ),
inference(cnf_transformation,[],[f13523]) ).
tcf(c_3279,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP29(X0,X1,X2)
| r2_hidden(sK519(X0,X2),k1_relat_1(X2))
| ~ r2_hidden(sK518(X0,X1,X2),k1_relat_1(X2))
| ~ r2_hidden(sK518(X0,X1,X2),k1_relat_1(X0))
| ~ r2_hidden(k1_funct_1(X0,sK518(X0,X1,X2)),X1) ),
inference(cnf_transformation,[],[f13522]) ).
tcf(c_3280,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP29(X0,X2,X1)
| r2_hidden(sK518(X0,X2,X1),k1_relat_1(X1))
| r2_hidden(sK518(X0,X2,X1),k1_relat_1(X0))
| ( k1_funct_1(X0,sK519(X0,X1)) != k1_funct_1(X1,sK519(X0,X1)) ) ),
inference(cnf_transformation,[],[f13521]) ).
tcf(c_3281,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP29(X0,X1,X2)
| r2_hidden(sK519(X0,X2),k1_relat_1(X2))
| r2_hidden(sK518(X0,X1,X2),k1_relat_1(X2))
| r2_hidden(sK518(X0,X1,X2),k1_relat_1(X0)) ),
inference(cnf_transformation,[],[f13520]) ).
tcf(c_3282,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP29(X0,X2,X1)
| r2_hidden(sK518(X0,X2,X1),k1_relat_1(X1))
| r2_hidden(k1_funct_1(X0,sK518(X0,X2,X1)),X2)
| ( k1_funct_1(X0,sK519(X0,X1)) != k1_funct_1(X1,sK519(X0,X1)) ) ),
inference(cnf_transformation,[],[f13519]) ).
tcf(c_3283,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP29(X0,X1,X2)
| r2_hidden(sK519(X0,X2),k1_relat_1(X2))
| r2_hidden(sK518(X0,X1,X2),k1_relat_1(X2))
| r2_hidden(k1_funct_1(X0,sK518(X0,X1,X2)),X1) ),
inference(cnf_transformation,[],[f13518]) ).
tcf(c_3284,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r2_hidden(X1,k1_relat_1(X3))
| ~ r2_hidden(X1,k1_relat_1(X0))
| ~ sP29(X0,X2,X3)
| ~ r2_hidden(k1_funct_1(X0,X1),X2) ),
inference(cnf_transformation,[],[f13517]) ).
tcf(c_3285,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r2_hidden(X3,k1_relat_1(X0))
| ~ r2_hidden(X3,k1_relat_1(X2))
| ~ sP29(X0,X1,X2) ),
inference(cnf_transformation,[],[f13516]) ).
tcf(c_3286,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r2_hidden(k1_funct_1(X0,X3),X1)
| ~ r2_hidden(X3,k1_relat_1(X2))
| ~ sP29(X0,X1,X2) ),
inference(cnf_transformation,[],[f13515]) ).
tcf(c_3287,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( k1_funct_1(X0,X3) = k1_funct_1(X2,X3) )
| ~ r2_hidden(X3,k1_relat_1(X2))
| ~ sP29(X0,X1,X2) ),
inference(cnf_transformation,[],[f13514]) ).
tcf(c_3409,plain,
! [X0: $i,X1: $i] :
( sP31(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ( k2_rlvect_1(X0,sK531(X0),X1) != k1_rlvect_1(X0) )
| ( k2_rlvect_1(X0,sK531(X0),sK532(X0)) != k2_rlvect_1(X0,sK532(X0),sK531(X0)) )
| ( k2_rlvect_1(X0,sK531(X0),k1_rlvect_1(X0)) != sK531(X0) )
| ( k2_rlvect_1(X0,k2_rlvect_1(X0,sK531(X0),sK532(X0)),sK533(X0)) != k2_rlvect_1(X0,sK531(X0),k2_rlvect_1(X0,sK532(X0),sK533(X0))) ) ),
inference(cnf_transformation,[],[f13656]) ).
tcf(c_3410,plain,
! [X0: $i] :
( sP31(X0)
| m1_subset_1(sK533(X0),u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f13655]) ).
tcf(c_3411,plain,
! [X0: $i] :
( sP31(X0)
| m1_subset_1(sK532(X0),u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f13654]) ).
tcf(c_3412,plain,
! [X0: $i] :
( sP31(X0)
| m1_subset_1(sK531(X0),u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f13653]) ).
tcf(c_3413,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( k2_rlvect_1(X1,X0,X3) = k2_rlvect_1(X1,X3,X0) )
| ~ sP31(X1)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f13652]) ).
tcf(c_3414,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( k2_rlvect_1(X1,k2_rlvect_1(X1,X0,X3),X2) = k2_rlvect_1(X1,X0,k2_rlvect_1(X1,X3,X2)) )
| ~ sP31(X1)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f13651]) ).
tcf(c_3415,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( k2_rlvect_1(X1,X0,k1_rlvect_1(X1)) = X0 )
| ~ sP31(X1)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f13650]) ).
tcf(c_3416,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( m1_subset_1(sK534(X1,X0),u1_struct_0(X1))
| ~ sP31(X1)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f13649]) ).
tcf(c_3417,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( k2_rlvect_1(X1,X0,sK534(X1,X0)) = k1_rlvect_1(X1) )
| ~ sP31(X1)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f13648]) ).
tcf(c_3628,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sP33(X0,X1,X2,X3,X4)
| ~ r2_hidden(sK560(X0,X1,X2,X3,X4),X4)
| ( sK560(X0,X1,X2,X3,X4) != X0 ) ),
inference(cnf_transformation,[],[f13880]) ).
tcf(c_3629,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sP33(X0,X1,X2,X3,X4)
| ~ r2_hidden(sK560(X0,X1,X2,X3,X4),X4)
| ( sK560(X0,X1,X2,X3,X4) != X1 ) ),
inference(cnf_transformation,[],[f13879]) ).
tcf(c_3630,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sP33(X0,X1,X2,X3,X4)
| ~ r2_hidden(sK560(X0,X1,X2,X3,X4),X4)
| ( sK560(X0,X1,X2,X3,X4) != X2 ) ),
inference(cnf_transformation,[],[f13878]) ).
tcf(c_3631,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sP33(X0,X1,X2,X3,X4)
| ~ r2_hidden(sK560(X0,X1,X2,X3,X4),X4)
| ( sK560(X0,X1,X2,X3,X4) != X3 ) ),
inference(cnf_transformation,[],[f13877]) ).
tcf(c_3632,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sP33(X0,X1,X2,X3,X4)
| r2_hidden(sK560(X0,X1,X2,X3,X4),X4)
| ( sK560(X0,X1,X2,X3,X4) = X3 )
| ( sK560(X0,X1,X2,X3,X4) = X2 )
| ( sK560(X0,X1,X2,X3,X4) = X1 )
| ( sK560(X0,X1,X2,X3,X4) = X0 ) ),
inference(cnf_transformation,[],[f13876]) ).
tcf(c_3633,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( r2_hidden(X0,X4)
| ~ sP33(X0,X1,X2,X3,X4) ),
inference(cnf_transformation,[],[f15335]) ).
tcf(c_3634,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( r2_hidden(X1,X4)
| ~ sP33(X0,X1,X2,X3,X4) ),
inference(cnf_transformation,[],[f15336]) ).
tcf(c_3635,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( r2_hidden(X2,X4)
| ~ sP33(X0,X1,X2,X3,X4) ),
inference(cnf_transformation,[],[f15337]) ).
tcf(c_3636,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( r2_hidden(X3,X4)
| ~ sP33(X0,X1,X2,X3,X4) ),
inference(cnf_transformation,[],[f15338]) ).
tcf(c_3637,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( X3 = X5 )
| ( X2 = X5 )
| ( X1 = X5 )
| ( X0 = X5 )
| ~ r2_hidden(X5,X4)
| ~ sP33(X0,X1,X2,X3,X4) ),
inference(cnf_transformation,[],[f13871]) ).
tcf(c_3711,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP34(X0,k8_funct_2(k5_numbers,u1_struct_0(X0),X1,k3_finseq_1(X2)),X2)
| ~ v1_funct_1(X1)
| ~ m2_relset_1(X1,k5_numbers,u1_struct_0(X0))
| ~ v1_funct_2(X1,k5_numbers,u1_struct_0(X0))
| ~ r1_xreal_0(k3_finseq_1(X2),sK565(X0,X2,X1))
| ( k8_funct_2(k5_numbers,u1_struct_0(X0),X1,np__0) != k1_rlvect_1(X0) ) ),
inference(cnf_transformation,[],[f15348]) ).
tcf(c_3712,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP34(X0,k8_funct_2(k5_numbers,u1_struct_0(X0),X1,k3_finseq_1(X2)),X2)
| ~ v1_funct_1(X1)
| ~ m2_relset_1(X1,k5_numbers,u1_struct_0(X0))
| ~ v1_funct_2(X1,k5_numbers,u1_struct_0(X0))
| ( k8_funct_2(k5_numbers,u1_struct_0(X0),X1,np__0) != k1_rlvect_1(X0) )
| ( k2_rlvect_1(X0,k8_funct_2(k5_numbers,u1_struct_0(X0),X1,sK565(X0,X2,X1)),sK566(X0,X2,X1)) != k8_funct_2(k5_numbers,u1_struct_0(X0),X1,k1_nat_1(sK565(X0,X2,X1),np__1)) ) ),
inference(cnf_transformation,[],[f15349]) ).
tcf(c_3713,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP34(X0,k8_funct_2(k5_numbers,u1_struct_0(X0),X1,k3_finseq_1(X2)),X2)
| ( k1_funct_1(X2,k1_nat_1(sK565(X0,X2,X1),np__1)) = sK566(X0,X2,X1) )
| ~ v1_funct_1(X1)
| ~ m2_relset_1(X1,k5_numbers,u1_struct_0(X0))
| ~ v1_funct_2(X1,k5_numbers,u1_struct_0(X0))
| ( k8_funct_2(k5_numbers,u1_struct_0(X0),X1,np__0) != k1_rlvect_1(X0) ) ),
inference(cnf_transformation,[],[f15350]) ).
tcf(c_3714,plain,
! [X0: $i,X1: $i,X2: $i] :
( m1_subset_1(sK566(X0,X2,X1),u1_struct_0(X0))
| sP34(X0,k8_funct_2(k5_numbers,u1_struct_0(X0),X1,k3_finseq_1(X2)),X2)
| ~ v1_funct_1(X1)
| ~ m2_relset_1(X1,k5_numbers,u1_struct_0(X0))
| ~ v1_funct_2(X1,k5_numbers,u1_struct_0(X0))
| ( k8_funct_2(k5_numbers,u1_struct_0(X0),X1,np__0) != k1_rlvect_1(X0) ) ),
inference(cnf_transformation,[],[f15351]) ).
tcf(c_3715,plain,
! [X0: $i,X1: $i,X2: $i] :
( m2_subset_1(sK565(X0,X2,X1),k1_numbers,k5_numbers)
| sP34(X0,k8_funct_2(k5_numbers,u1_struct_0(X0),X1,k3_finseq_1(X2)),X2)
| ~ v1_funct_1(X1)
| ~ m2_relset_1(X1,k5_numbers,u1_struct_0(X0))
| ~ v1_funct_2(X1,k5_numbers,u1_struct_0(X0))
| ( k8_funct_2(k5_numbers,u1_struct_0(X0),X1,np__0) != k1_rlvect_1(X0) ) ),
inference(cnf_transformation,[],[f15352]) ).
tcf(c_3716,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_funct_1(sK567(X0,X1,X2))
| ~ sP34(X0,X1,X2) ),
inference(cnf_transformation,[],[f13959]) ).
tcf(c_3717,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_funct_2(sK567(X0,X1,X2),k5_numbers,u1_struct_0(X0))
| ~ sP34(X0,X1,X2) ),
inference(cnf_transformation,[],[f13958]) ).
tcf(c_3718,plain,
! [X0: $i,X1: $i,X2: $i] :
( m2_relset_1(sK567(X0,X1,X2),k5_numbers,u1_struct_0(X0))
| ~ sP34(X0,X1,X2) ),
inference(cnf_transformation,[],[f13957]) ).
tcf(c_3719,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k8_funct_2(k5_numbers,u1_struct_0(X0),sK567(X0,X1,X2),k3_finseq_1(X2)) = X1 )
| ~ sP34(X0,X1,X2) ),
inference(cnf_transformation,[],[f13956]) ).
tcf(c_3720,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k8_funct_2(k5_numbers,u1_struct_0(X0),sK567(X0,X1,X2),np__0) = k1_rlvect_1(X0) )
| ~ sP34(X0,X1,X2) ),
inference(cnf_transformation,[],[f13955]) ).
tcf(c_3721,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_xreal_0(k3_finseq_1(X0),X1)
| ( k2_rlvect_1(X2,k8_funct_2(k5_numbers,u1_struct_0(X2),sK567(X2,X3,X0),X1),k1_funct_1(X0,k1_nat_1(X1,np__1))) = k8_funct_2(k5_numbers,u1_struct_0(X2),sK567(X2,X3,X0),k1_nat_1(X1,np__1)) )
| ~ m2_subset_1(X1,k1_numbers,k5_numbers)
| ~ sP34(X2,X3,X0)
| ~ m1_subset_1(k1_funct_1(X0,k1_nat_1(X1,np__1)),u1_struct_0(X2)) ),
inference(cnf_transformation,[],[f15353]) ).
tcf(c_3735,plain,
! [X0: $i,X1: $i] :
( sP36(X0,X1)
| r1_xreal_0(np__1,sK570(X0,X1)) ),
inference(cnf_transformation,[],[f13986]) ).
tcf(c_3736,plain,
! [X0: $i,X1: $i] :
( sP36(X0,X1)
| ~ r1_xreal_0(X0,sK570(X0,X1)) ),
inference(cnf_transformation,[],[f13985]) ).
tcf(c_3737,plain,
! [X0: $i,X1: $i] :
( sP36(X1,X0)
| ~ m1_subset_1(k1_funct_1(X0,sK570(X1,X0)),k8_qc_lang1)
| ~ m1_subset_1(k1_funct_1(X0,k1_nat_1(sK570(X1,X0),np__1)),k8_qc_lang1)
| ~ r1_qc_lang2(k1_funct_1(X0,sK570(X1,X0)),k1_funct_1(X0,k1_nat_1(sK570(X1,X0),np__1))) ),
inference(cnf_transformation,[],[f15358]) ).
tcf(c_3738,plain,
! [X0: $i,X1: $i] :
( sP36(X0,X1)
| m2_subset_1(sK570(X0,X1),k1_numbers,k5_numbers) ),
inference(cnf_transformation,[],[f13983]) ).
tcf(c_3739,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_xreal_0(X1,X0)
| ( k1_funct_1(X2,X0) = sK571(X2,X0) )
| ~ r1_xreal_0(np__1,X0)
| ~ sP36(X1,X2)
| ~ m2_subset_1(X0,k1_numbers,k5_numbers) ),
inference(cnf_transformation,[],[f13982]) ).
tcf(c_3740,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_xreal_0(X1,X0)
| ( k1_funct_1(X2,k1_nat_1(X0,np__1)) = sK572(X2,X0) )
| ~ r1_xreal_0(np__1,X0)
| ~ sP36(X1,X2)
| ~ m2_subset_1(X0,k1_numbers,k5_numbers) ),
inference(cnf_transformation,[],[f13981]) ).
tcf(c_3741,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_xreal_0(X1,X0)
| r1_qc_lang2(sK571(X2,X0),sK572(X2,X0))
| ~ r1_xreal_0(np__1,X0)
| ~ sP36(X1,X2)
| ~ m2_subset_1(X0,k1_numbers,k5_numbers) ),
inference(cnf_transformation,[],[f13980]) ).
tcf(c_3742,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_xreal_0(X1,X0)
| m1_subset_1(sK572(X2,X0),k8_qc_lang1)
| ~ r1_xreal_0(np__1,X0)
| ~ sP36(X1,X2)
| ~ m2_subset_1(X0,k1_numbers,k5_numbers) ),
inference(cnf_transformation,[],[f13979]) ).
tcf(c_3743,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_xreal_0(X1,X0)
| m1_subset_1(sK571(X2,X0),k8_qc_lang1)
| ~ r1_xreal_0(np__1,X0)
| ~ sP36(X1,X2)
| ~ m2_subset_1(X0,k1_numbers,k5_numbers) ),
inference(cnf_transformation,[],[f13978]) ).
tcf(c_6179,plain,
! [X0: $i,X1: $i] :
( l3_lattices(k8_filter_1(X0,X1))
| ~ sP10(X0,X1) ),
inference(global_subsumption_just,[status(thm)],[c_874,c_885,c_880,c_881,c_876,c_223]) ).
tcf(c_6182,plain,
! [X0: $i,X1: $i] :
( v16_lattices(k8_filter_1(X0,X1))
| ~ sP10(X0,X1) ),
inference(global_subsumption_just,[status(thm)],[c_873,c_885,c_882,c_880,c_877,c_881,c_876,c_873,c_886]) ).
tcf(c_6185,plain,
! [X0: $i,X1: $i] :
( v15_lattices(k8_filter_1(X0,X1))
| ~ sP10(X0,X1) ),
inference(global_subsumption_just,[status(thm)],[c_872,c_885,c_883,c_882,c_880,c_878,c_877,c_881,c_876,c_245]) ).
tcf(c_6188,plain,
! [X0: $i,X1: $i] :
( v10_lattices(k8_filter_1(X0,X1))
| ~ sP10(X0,X1) ),
inference(global_subsumption_just,[status(thm)],[c_871,c_885,c_882,c_880,c_877,c_881,c_876,c_871,c_886]) ).
tcf(c_6191,plain,
! [X0: $i,X1: $i] :
( l3_lattices(k8_filter_1(X0,X1))
| ~ sP5(X0,X1) ),
inference(global_subsumption_just,[status(thm)],[c_256,c_265,c_261,c_262,c_258,c_223]) ).
tcf(c_6194,plain,
! [X0: $i,X1: $i] :
( v11_lattices(k8_filter_1(X0,X1))
| ~ sP5(X0,X1) ),
inference(global_subsumption_just,[status(thm)],[c_255,c_265,c_263,c_261,c_259,c_262,c_258,c_255,c_266]) ).
tcf(c_6197,plain,
! [X0: $i,X1: $i] :
( v10_lattices(k8_filter_1(X0,X1))
| ~ sP5(X0,X1) ),
inference(global_subsumption_just,[status(thm)],[c_254,c_265,c_263,c_261,c_259,c_262,c_258,c_254,c_266]) ).
tcf(c_6200,plain,
! [X0: $i,X1: $i] :
( l3_lattices(k8_filter_1(X0,X1))
| ~ sP3(X0,X1) ),
inference(global_subsumption_just,[status(thm)],[c_232,c_241,c_237,c_238,c_234,c_223]) ).
tcf(c_6203,plain,
! [X0: $i,X1: $i] :
( v17_lattices(k8_filter_1(X0,X1))
| ~ sP3(X0,X1) ),
inference(global_subsumption_just,[status(thm)],[c_231,c_241,c_239,c_237,c_235,c_238,c_234,c_231,c_242]) ).
tcf(c_6206,plain,
! [X0: $i,X1: $i] :
( v10_lattices(k8_filter_1(X0,X1))
| ~ sP3(X0,X1) ),
inference(global_subsumption_just,[status(thm)],[c_230,c_241,c_239,c_237,c_235,c_238,c_234,c_230,c_242]) ).
tcf(c_6228,plain,
! [X0: $i,X1: $i] :
( ~ v3_struct_0(k8_filter_1(X0,X1))
| ~ sP10(X0,X1) ),
inference(global_subsumption_just,[status(thm)],[c_870,c_885,c_880,c_881,c_876,c_279]) ).
tcf(c_6229,plain,
! [X0: $i,X1: $i] :
( ~ sP10(X0,X1)
| ~ v3_struct_0(k8_filter_1(X0,X1)) ),
inference(renaming,[status(thm)],[c_6228]) ).
tcf(c_6231,plain,
! [X0: $i,X1: $i] :
( ~ v3_struct_0(k8_filter_1(X0,X1))
| ~ sP5(X0,X1) ),
inference(global_subsumption_just,[status(thm)],[c_253,c_265,c_261,c_262,c_258,c_279]) ).
tcf(c_6232,plain,
! [X0: $i,X1: $i] :
( ~ sP5(X0,X1)
| ~ v3_struct_0(k8_filter_1(X0,X1)) ),
inference(renaming,[status(thm)],[c_6231]) ).
tcf(c_6234,plain,
! [X0: $i,X1: $i] :
( ~ v3_struct_0(k8_filter_1(X0,X1))
| ~ sP3(X0,X1) ),
inference(global_subsumption_just,[status(thm)],[c_229,c_241,c_237,c_238,c_234,c_279]) ).
tcf(c_6235,plain,
! [X0: $i,X1: $i] :
( ~ sP3(X0,X1)
| ~ v3_struct_0(k8_filter_1(X0,X1)) ),
inference(renaming,[status(thm)],[c_6234]) ).
tcf(c_6261,plain,
! [X0: $i] :
( v3_struct_0(X0)
| v10_lattices(k1_lattice2(X0))
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(global_subsumption_just,[status(thm)],[c_1119,c_1045,c_1046]) ).
tcf(c_6262,plain,
! [X0: $i] :
( v3_struct_0(X0)
| v10_lattices(k1_lattice2(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0) ),
inference(renaming,[status(thm)],[c_6261]) ).
tcf(c_6419,plain,
! [X0: $i] :
( v11_lattices(X0)
| v3_struct_0(X0)
| ~ v11_lattices(k1_lattice2(X0))
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(global_subsumption_just,[status(thm)],[c_1117,c_1035,c_1047,c_1117,c_6262]) ).
tcf(c_6420,plain,
! [X0: $i] :
( v11_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| ~ v11_lattices(k1_lattice2(X0)) ),
inference(renaming,[status(thm)],[c_6419]) ).
tcf(c_7038,plain,
! [X0: $i] :
( ~ sP18(X0)
| v14_lattices(X0) ),
inference(prop_impl_just,[status(thm)],[c_1826]) ).
tcf(c_7039,plain,
! [X0: $i] :
( v14_lattices(X0)
| ~ sP18(X0) ),
inference(renaming,[status(thm)],[c_7038]) ).
tcf(c_7084,plain,
! [X0: $i,X1: $i] :
( ~ sP3(X0,X1)
| v10_lattices(k8_filter_1(X0,X1)) ),
inference(prop_impl_just,[status(thm)],[c_6206]) ).
tcf(c_7085,plain,
! [X0: $i,X1: $i] :
( v10_lattices(k8_filter_1(X0,X1))
| ~ sP3(X0,X1) ),
inference(renaming,[status(thm)],[c_7084]) ).
tcf(c_7086,plain,
! [X0: $i,X1: $i] :
( ~ sP5(X0,X1)
| v10_lattices(k8_filter_1(X0,X1)) ),
inference(prop_impl_just,[status(thm)],[c_6197]) ).
tcf(c_7087,plain,
! [X0: $i,X1: $i] :
( v10_lattices(k8_filter_1(X0,X1))
| ~ sP5(X0,X1) ),
inference(renaming,[status(thm)],[c_7086]) ).
tcf(c_7088,plain,
! [X0: $i,X1: $i] :
( ~ sP10(X0,X1)
| v10_lattices(k8_filter_1(X0,X1)) ),
inference(prop_impl_just,[status(thm)],[c_6188]) ).
tcf(c_7089,plain,
! [X0: $i,X1: $i] :
( v10_lattices(k8_filter_1(X0,X1))
| ~ sP10(X0,X1) ),
inference(renaming,[status(thm)],[c_7088]) ).
tcf(c_7090,plain,
! [X0: $i,X1: $i] :
( ~ sP3(X0,X1)
| v17_lattices(k8_filter_1(X0,X1)) ),
inference(prop_impl_just,[status(thm)],[c_6203]) ).
tcf(c_7091,plain,
! [X0: $i,X1: $i] :
( v17_lattices(k8_filter_1(X0,X1))
| ~ sP3(X0,X1) ),
inference(renaming,[status(thm)],[c_7090]) ).
tcf(c_7092,plain,
! [X0: $i,X1: $i] :
( ~ sP3(X0,X1)
| l3_lattices(k8_filter_1(X0,X1)) ),
inference(prop_impl_just,[status(thm)],[c_6200]) ).
tcf(c_7093,plain,
! [X0: $i,X1: $i] :
( l3_lattices(k8_filter_1(X0,X1))
| ~ sP3(X0,X1) ),
inference(renaming,[status(thm)],[c_7092]) ).
tcf(c_7094,plain,
! [X0: $i,X1: $i] :
( ~ sP5(X0,X1)
| l3_lattices(k8_filter_1(X0,X1)) ),
inference(prop_impl_just,[status(thm)],[c_6191]) ).
tcf(c_7095,plain,
! [X0: $i,X1: $i] :
( l3_lattices(k8_filter_1(X0,X1))
| ~ sP5(X0,X1) ),
inference(renaming,[status(thm)],[c_7094]) ).
tcf(c_7096,plain,
! [X0: $i,X1: $i] :
( ~ sP10(X0,X1)
| l3_lattices(k8_filter_1(X0,X1)) ),
inference(prop_impl_just,[status(thm)],[c_6179]) ).
tcf(c_7097,plain,
! [X0: $i,X1: $i] :
( l3_lattices(k8_filter_1(X0,X1))
| ~ sP10(X0,X1) ),
inference(renaming,[status(thm)],[c_7096]) ).
tcf(c_7098,plain,
! [X0: $i,X1: $i] :
( ~ sP3(X0,X1)
| ~ v3_struct_0(k8_filter_1(X0,X1)) ),
inference(prop_impl_just,[status(thm)],[c_6235]) ).
tcf(c_7100,plain,
! [X0: $i,X1: $i] :
( ~ sP5(X0,X1)
| ~ v3_struct_0(k8_filter_1(X0,X1)) ),
inference(prop_impl_just,[status(thm)],[c_6232]) ).
tcf(c_7104,plain,
! [X0: $i,X1: $i] :
( ~ sP10(X0,X1)
| ~ v3_struct_0(k8_filter_1(X0,X1)) ),
inference(prop_impl_just,[status(thm)],[c_6229]) ).
tcf(c_7130,plain,
! [X0: $i,X1: $i] :
( ~ sP10(X0,X1)
| v15_lattices(k8_filter_1(X0,X1)) ),
inference(prop_impl_just,[status(thm)],[c_6185]) ).
tcf(c_7131,plain,
! [X0: $i,X1: $i] :
( v15_lattices(k8_filter_1(X0,X1))
| ~ sP10(X0,X1) ),
inference(renaming,[status(thm)],[c_7130]) ).
tcf(c_7134,plain,
! [X0: $i] :
( ~ sP12(X0)
| v15_lattices(X0) ),
inference(prop_impl_just,[status(thm)],[c_897]) ).
tcf(c_7135,plain,
! [X0: $i] :
( v15_lattices(X0)
| ~ sP12(X0) ),
inference(renaming,[status(thm)],[c_7134]) ).
tcf(c_7140,plain,
! [X0: $i] :
( ~ sP19(X0)
| v13_lattices(X0) ),
inference(prop_impl_just,[status(thm)],[c_1836]) ).
tcf(c_7141,plain,
! [X0: $i] :
( v13_lattices(X0)
| ~ sP19(X0) ),
inference(renaming,[status(thm)],[c_7140]) ).
tcf(c_7142,plain,
! [X0: $i,X1: $i] :
( ~ sP5(X0,X1)
| v11_lattices(k8_filter_1(X0,X1)) ),
inference(prop_impl_just,[status(thm)],[c_6194]) ).
tcf(c_7143,plain,
! [X0: $i,X1: $i] :
( v11_lattices(k8_filter_1(X0,X1))
| ~ sP5(X0,X1) ),
inference(renaming,[status(thm)],[c_7142]) ).
tcf(c_7490,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ sP33(X0,X1,X2,X3,X4)
| r2_hidden(X3,X4) ),
inference(prop_impl_just,[status(thm)],[c_3636]) ).
tcf(c_7491,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( r2_hidden(X3,X4)
| ~ sP33(X0,X1,X2,X3,X4) ),
inference(renaming,[status(thm)],[c_7490]) ).
tcf(c_7506,plain,
! [X0: $i] :
( r2_hidden(k2_tarski(k2_tarski(sK130(X0),sK131(X0)),k2_enumset1(sK130(X0),sK130(X0),sK130(X0),sK130(X0))),X0)
| ~ sP9(X0) ),
inference(prop_impl_just,[status(thm)],[c_765]) ).
tcf(c_7508,plain,
! [X0: $i] :
( r2_hidden(k2_tarski(k2_tarski(sK130(X0),sK132(X0)),k2_enumset1(sK130(X0),sK130(X0),sK130(X0),sK130(X0))),X0)
| ~ sP9(X0) ),
inference(prop_impl_just,[status(thm)],[c_766]) ).
tcf(c_7528,plain,
! [X0: $i,X1: $i] :
( ~ sP10(X0,X1)
| v16_lattices(k8_filter_1(X0,X1)) ),
inference(prop_impl_just,[status(thm)],[c_6182]) ).
tcf(c_7529,plain,
! [X0: $i,X1: $i] :
( v16_lattices(k8_filter_1(X0,X1))
| ~ sP10(X0,X1) ),
inference(renaming,[status(thm)],[c_7528]) ).
tcf(c_7690,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ sP33(X0,X1,X2,X3,X4)
| r2_hidden(X2,X4) ),
inference(prop_impl_just,[status(thm)],[c_3635]) ).
tcf(c_7691,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( r2_hidden(X2,X4)
| ~ sP33(X0,X1,X2,X3,X4) ),
inference(renaming,[status(thm)],[c_7690]) ).
tcf(c_8384,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( r2_hidden(X1,X4)
| ~ sP33(X0,X1,X2,X3,X4) ),
inference(prop_impl_just,[status(thm)],[c_3634]) ).
tcf(c_19476,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP14(X0,X1)
| ~ v3_pre_topc(X2,X0)
| ~ r1_tarski(X2,X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
| ~ r2_hidden(sK205(X0,X1),X2) ),
inference(backward_subsumption_resolution,[status(thm)],[c_1196,c_6365]) ).
tcf(c_55102,plain,
! [X0: $i] :
( r2_hidden(k2_tarski(k2_tarski(sK130(X0),sK130(X0)),k2_tarski(sK130(X0),sK132(X0))),X0)
| ~ sP9(X0) ),
inference(demodulation,[status(thm)],[c_7508,c_49,c_2707]) ).
tcf(c_55109,plain,
! [X0: $i] :
( r2_hidden(k2_tarski(k2_tarski(sK130(X0),sK130(X0)),k2_tarski(sK130(X0),sK131(X0))),X0)
| ~ sP9(X0) ),
inference(demodulation,[status(thm)],[c_7506,c_49,c_2707]) ).
tcf(c_66218,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r2_hidden(k2_tarski(k2_tarski(sK504(X0,X1,X3),sK504(X0,X1,X3)),k2_tarski(sK504(X0,X1,X3),sK505(X0,X1,X3))),k1_relat_1(X1))
| ~ r2_hidden(X3,k1_relat_1(X2))
| ~ sP28(X0,X1,X2) ),
inference(demodulation,[status(thm)],[c_3219,c_49,c_2707]) ).
tcf(c_66228,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r2_hidden(k2_tarski(k2_tarski(sK502(X0,X1,X3),sK502(X0,X1,X3)),k2_tarski(sK502(X0,X1,X3),sK503(X0,X1,X3))),k1_relat_1(X0))
| ~ r2_hidden(X3,k1_relat_1(X2))
| ~ sP28(X0,X1,X2) ),
inference(demodulation,[status(thm)],[c_3218,c_49,c_2707]) ).
tcf(c_66553,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP28(X0,X1,X2)
| r2_hidden(sK497(X0,X1,X2),k1_relat_1(X2))
| r2_hidden(k2_tarski(k2_tarski(sK500(X0,X1,X2),sK500(X0,X1,X2)),k2_tarski(sK500(X0,X1,X2),sK501(X0,X1,X2))),k1_relat_1(X1)) ),
inference(demodulation,[status(thm)],[c_3215,c_49,c_2707]) ).
tcf(c_66563,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP28(X0,X1,X2)
| r2_hidden(sK497(X0,X1,X2),k1_relat_1(X2))
| r2_hidden(k2_tarski(k2_tarski(sK498(X0,X1,X2),sK498(X0,X1,X2)),k2_tarski(sK498(X0,X1,X2),sK499(X0,X1,X2))),k1_relat_1(X0)) ),
inference(demodulation,[status(thm)],[c_3214,c_49,c_2707]) ).
tcf(c_73824,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( r2_hidden(k2_tarski(k2_tarski(k2_tarski(k2_tarski(X0,X3),k2_tarski(X0,X0)),k2_tarski(k2_tarski(X1,X4),k2_tarski(X1,X1))),k2_zfmisc_1(k2_tarski(X0,X0),k2_tarski(X3,X3))),k1_relat_1(X6))
| ~ sP28(X2,X5,X6)
| ~ r2_hidden(k2_tarski(k2_tarski(X3,X4),k2_tarski(X3,X3)),k1_relat_1(X5))
| ~ r2_hidden(k2_tarski(k2_tarski(X0,X1),k2_tarski(X0,X0)),k1_relat_1(X2)) ),
inference(demodulation,[status(thm)],[c_3216,c_49,c_61307]) ).
tcf(c_74319,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( sP28(X4,X5,X6)
| ~ r2_hidden(sK497(X4,X5,X6),k1_relat_1(X6))
| ~ r2_hidden(k2_tarski(k2_tarski(X1,X3),k2_tarski(X1,X1)),k1_relat_1(X5))
| ~ r2_hidden(k2_tarski(k2_tarski(X0,X2),k2_tarski(X0,X0)),k1_relat_1(X4))
| ( k2_tarski(k2_tarski(k2_tarski(k2_tarski(X0,X1),k2_tarski(X0,X0)),k2_tarski(k2_tarski(X2,X3),k2_tarski(X2,X2))),k2_zfmisc_1(k2_tarski(X0,X0),k2_tarski(X1,X1))) != sK497(X4,X5,X6) ) ),
inference(demodulation,[status(thm)],[c_3212,c_49,c_61307]) ).
tcf(c_75038,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( k2_tarski(k2_tarski(k2_tarski(k2_tarski(sK502(X0,X1,X3),sK502(X0,X1,X3)),k2_tarski(sK502(X0,X1,X3),sK504(X0,X1,X3))),k2_tarski(k2_tarski(sK502(X0,X1,X3),sK502(X0,X1,X3)),k2_tarski(sK502(X0,X1,X3),sK504(X0,X1,X3)))),k2_tarski(k2_tarski(k2_tarski(sK502(X0,X1,X3),sK502(X0,X1,X3)),k2_tarski(sK502(X0,X1,X3),sK504(X0,X1,X3))),k2_tarski(k2_tarski(sK503(X0,X1,X3),sK503(X0,X1,X3)),k2_tarski(sK503(X0,X1,X3),sK505(X0,X1,X3))))) = X3 )
| ~ r2_hidden(X3,k1_relat_1(X2))
| ~ sP28(X0,X1,X2) ),
inference(demodulation,[status(thm)],[c_3217,c_49,c_2707]) ).
tcf(c_75048,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP28(X0,X1,X2)
| r2_hidden(sK497(X0,X1,X2),k1_relat_1(X2))
| ( k2_tarski(k2_tarski(k2_tarski(k2_tarski(sK498(X0,X1,X2),sK498(X0,X1,X2)),k2_tarski(sK498(X0,X1,X2),sK500(X0,X1,X2))),k2_tarski(k2_tarski(sK498(X0,X1,X2),sK498(X0,X1,X2)),k2_tarski(sK498(X0,X1,X2),sK500(X0,X1,X2)))),k2_tarski(k2_tarski(k2_tarski(sK498(X0,X1,X2),sK498(X0,X1,X2)),k2_tarski(sK498(X0,X1,X2),sK500(X0,X1,X2))),k2_tarski(k2_tarski(sK499(X0,X1,X2),sK499(X0,X1,X2)),k2_tarski(sK499(X0,X1,X2),sK501(X0,X1,X2))))) = sK497(X0,X1,X2) ) ),
inference(demodulation,[status(thm)],[c_3213,c_49,c_2707]) ).
tcf(c_76711,plain,
! [X0: $i,X1: $i] :
( v14_lattices(X1)
| v3_struct_0(X0)
| ~ v6_group_1(X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| ( X0 != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_1827,c_7039]) ).
tcf(c_76712,plain,
! [X0: $i] :
( v14_lattices(X0)
| v3_struct_0(X0)
| ~ v6_group_1(X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0) ),
inference(unflattening,[status(thm)],[c_76711]) ).
tcf(c_76762,plain,
! [X0: $i,X1: $i] :
( v13_lattices(X1)
| v3_struct_0(X0)
| ~ v6_group_1(X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| ( X0 != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_1837,c_7141]) ).
tcf(c_76763,plain,
! [X0: $i] :
( v13_lattices(X0)
| v3_struct_0(X0)
| ~ v6_group_1(X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0) ),
inference(unflattening,[status(thm)],[c_76762]) ).
tcf(c_77154,plain,
! [X0: $i,X1: $i] :
( v15_lattices(X1)
| v3_struct_0(X0)
| ~ v6_group_1(X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| ( X0 != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_898,c_7135]) ).
tcf(c_77155,plain,
! [X0: $i] :
( v15_lattices(X0)
| v3_struct_0(X0)
| ~ v6_group_1(X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0) ),
inference(unflattening,[status(thm)],[c_77154]) ).
tcf(c_81909,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( r2_hidden(X6,X8)
| ( X6 != X7 )
| ( X4 != X5 )
| ( X2 != X3 )
| ( X0 != X1 )
| ( k2_enumset1(X1,X3,X5,X7) != X8 ) ),
inference(resolution_lifted,[status(thm)],[c_7491,c_3639]) ).
tcf(c_81910,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : r2_hidden(X0,k2_enumset1(X1,X2,X3,X0)),
inference(unflattening,[status(thm)],[c_81909]) ).
tcf(c_81914,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( r2_hidden(X4,X8)
| ( X6 != X7 )
| ( X4 != X5 )
| ( X2 != X3 )
| ( X0 != X1 )
| ( k2_enumset1(X1,X3,X5,X7) != X8 ) ),
inference(resolution_lifted,[status(thm)],[c_7691,c_3639]) ).
tcf(c_81915,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : r2_hidden(X0,k2_enumset1(X1,X2,X0,X3)),
inference(unflattening,[status(thm)],[c_81914]) ).
tcf(c_81919,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( r2_hidden(X2,X8)
| ( X6 != X7 )
| ( X4 != X5 )
| ( X2 != X3 )
| ( X0 != X1 )
| ( k2_enumset1(X1,X3,X5,X7) != X8 ) ),
inference(resolution_lifted,[status(thm)],[c_8384,c_3639]) ).
tcf(c_81920,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : r2_hidden(X0,k2_enumset1(X1,X0,X2,X3)),
inference(unflattening,[status(thm)],[c_81919]) ).
tcf(c_165907,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : r2_hidden(X0,k2_enumset1(X0,X1,X2,X3)),
inference(superposition,[status(thm)],[c_3618,c_81910]) ).
tcf(c_165915,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : m1_subset_1(X0,k2_enumset1(X1,X2,X3,X0)),
inference(superposition,[status(thm)],[c_81910,c_626]) ).
tcf(c_165916,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ~ v1_xboole_0(k2_enumset1(X0,X1,X2,X3)),
inference(superposition,[status(thm)],[c_81910,c_597]) ).
tcf(c_165950,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : m1_subset_1(X0,k2_enumset1(X1,X2,X0,X3)),
inference(superposition,[status(thm)],[c_81915,c_626]) ).
tcf(c_165984,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : m1_subset_1(X0,k2_enumset1(X1,X0,X2,X3)),
inference(superposition,[status(thm)],[c_81920,c_626]) ).
tcf(c_166468,plain,
! [X0: $i,X1: $i] :
( v10_lattices(X1)
| v3_struct_0(X1)
| v3_struct_0(X0)
| ~ l3_lattices(X1)
| ~ l3_lattices(X0)
| ~ sP7(X0,X1) ),
inference(superposition,[status(thm)],[c_277,c_6434]) ).
tcf(c_166469,plain,
! [X0: $i,X1: $i] :
( v10_lattices(X0)
| v3_struct_0(X1)
| v3_struct_0(X0)
| ~ l3_lattices(X1)
| ~ l3_lattices(X0)
| ~ sP7(X0,X1) ),
inference(superposition,[status(thm)],[c_277,c_6431]) ).
tcf(c_166778,plain,
! [X0: $i,X1: $i] :
( sP8(X0,X1)
| m1_subset_1(sK64(X0,X1),X0) ),
inference(superposition,[status(thm)],[c_429,c_626]) ).
tcf(c_166779,plain,
! [X0: $i,X1: $i] :
( sP8(X0,X1)
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_429,c_597]) ).
tcf(c_166780,plain,
! [X0: $i] : sP8(np__0,X0),
inference(superposition,[status(thm)],[c_429,c_698]) ).
tcf(c_166781,plain,
! [X0: $i] :
( sP8(k4_numbers,X0)
| v1_int_1(sK64(k4_numbers,X0)) ),
inference(superposition,[status(thm)],[c_429,c_2722]) ).
tcf(c_166782,plain,
! [X0: $i] :
( sP8(k1_numbers,X0)
| v1_xreal_0(sK64(k1_numbers,X0)) ),
inference(superposition,[status(thm)],[c_429,c_2743]) ).
tcf(c_166783,plain,
! [X0: $i,X1: $i] :
( sP8(k5_finsub_1(X0),X1)
| v1_finset_1(sK64(k5_finsub_1(X0),X1)) ),
inference(superposition,[status(thm)],[c_429,c_14774]) ).
tcf(c_167410,plain,
! [X0: $i,X1: $i] :
( sP8(k1_zfmisc_1(X0),X1)
| r1_tarski(sK64(k1_zfmisc_1(X0),X1),X0) ),
inference(superposition,[status(thm)],[c_429,c_563]) ).
tcf(c_167524,plain,
! [X0: $i,X1: $i] :
( sP8(X0,X1)
| r2_hidden(sK92(X0),X0) ),
inference(superposition,[status(thm)],[c_429,c_627]) ).
tcf(c_167552,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : r2_hidden(sK92(k2_enumset1(X0,X1,X2,X3)),k2_enumset1(X0,X1,X2,X3)),
inference(superposition,[status(thm)],[c_81910,c_627]) ).
tcf(c_167616,plain,
! [X0: $i,X1: $i] :
( sP8(X0,X1)
| ~ r2_hidden(X0,sK64(X0,X1)) ),
inference(superposition,[status(thm)],[c_429,c_631]) ).
tcf(c_167644,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ~ r2_hidden(k2_enumset1(X0,X1,X2,X3),X3),
inference(superposition,[status(thm)],[c_81910,c_631]) ).
tcf(c_167645,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ~ r2_hidden(k2_enumset1(X0,X1,X2,X3),X2),
inference(superposition,[status(thm)],[c_81915,c_631]) ).
tcf(c_167646,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ~ r2_hidden(k2_enumset1(X0,X1,X2,X3),X1),
inference(superposition,[status(thm)],[c_81920,c_631]) ).
tcf(c_168597,plain,
! [X0: $i,X1: $i] :
( sP23(sK46(X0,X1))
| r1_tarski(k2_relat_1(sK345(sK46(X0,X1))),X0)
| ( X0 = np__0 ) ),
inference(superposition,[status(thm)],[c_102,c_2226]) ).
tcf(c_168598,plain,
! [X0: $i] :
( sP23(sK111(X0))
| r1_tarski(k2_relat_1(sK345(sK111(X0))),X0)
| ( X0 = np__0 ) ),
inference(superposition,[status(thm)],[c_688,c_2226]) ).
tcf(c_168599,plain,
! [X0: $i] :
( sP23(sK112(X0))
| r1_tarski(k2_relat_1(sK345(sK112(X0))),X0)
| ( X0 = np__0 ) ),
inference(superposition,[status(thm)],[c_689,c_2226]) ).
tcf(c_168600,plain,
! [X0: $i,X1: $i] :
( sP23(sK115(X0,X1))
| r1_tarski(k2_relat_1(sK345(sK115(X0,X1))),X1)
| ( X0 = np__0 ) ),
inference(superposition,[status(thm)],[c_718,c_2226]) ).
tcf(c_168601,plain,
! [X0: $i] :
( sP23(sK115(X0,np__0))
| r1_tarski(k2_relat_1(sK345(sK115(X0,np__0))),np__0) ),
inference(superposition,[status(thm)],[c_722,c_2226]) ).
tcf(c_168602,plain,
( sP23(np__0)
| r1_tarski(k2_relat_1(sK345(np__0)),np__0) ),
inference(superposition,[status(thm)],[c_730,c_2226]) ).
tcf(c_168603,plain,
! [X0: $i] :
( sP23(k6_partfun1(X0))
| r1_tarski(k2_relat_1(sK345(k6_partfun1(X0))),X0) ),
inference(superposition,[status(thm)],[c_2203,c_2226]) ).
tcf(c_168604,plain,
! [X0: $i] :
( sP23(X0)
| ~ r2_hidden(k1_relat_1(X0),k2_relat_1(sK345(X0))) ),
inference(superposition,[status(thm)],[c_2226,c_538]) ).
tcf(c_169068,plain,
! [X0: $i,X1: $i] :
( sP23(sK46(X0,X1))
| r1_tarski(k2_relat_1(sK346(sK46(X0,X1))),X0)
| ( X0 = np__0 ) ),
inference(superposition,[status(thm)],[c_102,c_2227]) ).
tcf(c_169069,plain,
! [X0: $i] :
( sP23(sK111(X0))
| r1_tarski(k2_relat_1(sK346(sK111(X0))),X0)
| ( X0 = np__0 ) ),
inference(superposition,[status(thm)],[c_688,c_2227]) ).
tcf(c_169070,plain,
! [X0: $i] :
( sP23(sK112(X0))
| r1_tarski(k2_relat_1(sK346(sK112(X0))),X0)
| ( X0 = np__0 ) ),
inference(superposition,[status(thm)],[c_689,c_2227]) ).
tcf(c_169071,plain,
! [X0: $i,X1: $i] :
( sP23(sK115(X0,X1))
| r1_tarski(k2_relat_1(sK346(sK115(X0,X1))),X1)
| ( X0 = np__0 ) ),
inference(superposition,[status(thm)],[c_718,c_2227]) ).
tcf(c_169072,plain,
! [X0: $i] :
( sP23(sK115(X0,np__0))
| r1_tarski(k2_relat_1(sK346(sK115(X0,np__0))),np__0) ),
inference(superposition,[status(thm)],[c_722,c_2227]) ).
tcf(c_169073,plain,
( sP23(np__0)
| r1_tarski(k2_relat_1(sK346(np__0)),np__0) ),
inference(superposition,[status(thm)],[c_730,c_2227]) ).
tcf(c_169074,plain,
! [X0: $i] :
( sP23(k6_partfun1(X0))
| r1_tarski(k2_relat_1(sK346(k6_partfun1(X0))),X0) ),
inference(superposition,[status(thm)],[c_2203,c_2227]) ).
tcf(c_169075,plain,
! [X0: $i] :
( sP23(X0)
| ~ r2_hidden(k1_relat_1(X0),k2_relat_1(sK346(X0))) ),
inference(superposition,[status(thm)],[c_2227,c_538]) ).
tcf(c_169119,plain,
! [X0: $i] :
( sP23(X0)
| sP24(sK346(X0))
| ~ v1_relat_1(sK346(X0)) ),
inference(superposition,[status(thm)],[c_2231,c_2235]) ).
tcf(c_169120,plain,
! [X0: $i] :
( sP23(X0)
| sP24(sK345(X0))
| ~ v1_relat_1(sK345(X0)) ),
inference(superposition,[status(thm)],[c_2233,c_2235]) ).
tcf(c_171302,plain,
! [X0: $i,X1: $i] :
( sP8(k5_finsub_1(X0),X1)
| r1_tarski(sK64(k5_finsub_1(X0),X1),X0) ),
inference(superposition,[status(thm)],[c_429,c_14776]) ).
tcf(c_173220,plain,
! [X0: $i,X1: $i,X2: $i] : r2_hidden(X0,k2_enumset1(X1,X0,X2,X2)),
inference(superposition,[status(thm)],[c_52485,c_81915]) ).
tcf(c_173223,plain,
! [X0: $i,X1: $i,X2: $i] : r2_hidden(X0,k2_enumset1(X0,X1,X2,X2)),
inference(superposition,[status(thm)],[c_52485,c_81920]) ).
tcf(c_173256,plain,
! [X0: $i,X1: $i,X2: $i] : r2_hidden(X0,k2_enumset1(X1,X1,X2,X0)),
inference(superposition,[status(thm)],[c_52485,c_81915]) ).
tcf(c_173259,plain,
! [X0: $i,X1: $i,X2: $i] : r2_hidden(X0,k2_enumset1(X1,X1,X0,X2)),
inference(superposition,[status(thm)],[c_52485,c_81920]) ).
tcf(c_173787,plain,
! [X0: $i,X1: $i] :
( sP8(k1_zfmisc_1(X0),X1)
| ~ r1_tarski(sK65(k1_zfmisc_1(X0),X1),X0) ),
inference(superposition,[status(thm)],[c_562,c_428]) ).
tcf(c_173788,plain,
! [X0: $i] :
( sP8(k4_numbers,X0)
| ~ v1_int_1(sK65(k4_numbers,X0)) ),
inference(superposition,[status(thm)],[c_2723,c_428]) ).
tcf(c_173789,plain,
! [X0: $i] :
( sP8(k1_numbers,X0)
| ~ v1_xreal_0(sK65(k1_numbers,X0)) ),
inference(superposition,[status(thm)],[c_2744,c_428]) ).
tcf(c_173966,plain,
! [X0: $i] :
( sP23(X0)
| v1_relat_1(k2_relat_1(sK345(X0)))
| ~ v1_relat_1(k1_relat_1(X0)) ),
inference(superposition,[status(thm)],[c_2226,c_539]) ).
tcf(c_173967,plain,
! [X0: $i] :
( sP23(X0)
| v1_relat_1(k2_relat_1(sK346(X0)))
| ~ v1_relat_1(k1_relat_1(X0)) ),
inference(superposition,[status(thm)],[c_2227,c_539]) ).
tcf(c_174229,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(u1_struct_0(X1))
| sP8(X0,X1)
| r2_hidden(sK65(X0,X1),u1_struct_0(X1)) ),
inference(superposition,[status(thm)],[c_431,c_588]) ).
tcf(c_174230,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(u1_struct_0(X1))
| sP8(X0,X1)
| r2_hidden(sK64(X0,X1),u1_struct_0(X1)) ),
inference(superposition,[status(thm)],[c_432,c_588]) ).
tcf(c_174250,plain,
! [X0: $i] :
( sP31(X0)
| v1_xboole_0(u1_struct_0(X0))
| r2_hidden(sK533(X0),u1_struct_0(X0)) ),
inference(superposition,[status(thm)],[c_3410,c_588]) ).
tcf(c_174251,plain,
! [X0: $i] :
( sP31(X0)
| v1_xboole_0(u1_struct_0(X0))
| r2_hidden(sK532(X0),u1_struct_0(X0)) ),
inference(superposition,[status(thm)],[c_3411,c_588]) ).
tcf(c_174252,plain,
! [X0: $i] :
( sP31(X0)
| v1_xboole_0(u1_struct_0(X0))
| r2_hidden(sK531(X0),u1_struct_0(X0)) ),
inference(superposition,[status(thm)],[c_3412,c_588]) ).
tcf(c_174415,plain,
! [X0: $i,X1: $i] :
( sP8(X1,X0)
| v1_xboole_0(sK65(X1,X0))
| ~ v1_xboole_0(u1_struct_0(X0)) ),
inference(superposition,[status(thm)],[c_431,c_590]) ).
tcf(c_174416,plain,
! [X0: $i,X1: $i] :
( sP8(X1,X0)
| v1_xboole_0(sK64(X1,X0))
| ~ v1_xboole_0(u1_struct_0(X0)) ),
inference(superposition,[status(thm)],[c_432,c_590]) ).
tcf(c_174436,plain,
! [X0: $i] :
( sP31(X0)
| v1_xboole_0(sK533(X0))
| ~ v1_xboole_0(u1_struct_0(X0)) ),
inference(superposition,[status(thm)],[c_3410,c_590]) ).
tcf(c_174437,plain,
! [X0: $i] :
( sP31(X0)
| v1_xboole_0(sK532(X0))
| ~ v1_xboole_0(u1_struct_0(X0)) ),
inference(superposition,[status(thm)],[c_3411,c_590]) ).
tcf(c_174438,plain,
! [X0: $i] :
( sP31(X0)
| v1_xboole_0(sK531(X0))
| ~ v1_xboole_0(u1_struct_0(X0)) ),
inference(superposition,[status(thm)],[c_3412,c_590]) ).
tcf(c_174990,plain,
! [X0: $i] :
( sP23(X0)
| v5_membered(k2_relat_1(sK345(X0)))
| ~ v5_membered(k1_relat_1(X0)) ),
inference(superposition,[status(thm)],[c_2226,c_1335]) ).
tcf(c_174991,plain,
! [X0: $i] :
( sP23(X0)
| v5_membered(k2_relat_1(sK346(X0)))
| ~ v5_membered(k1_relat_1(X0)) ),
inference(superposition,[status(thm)],[c_2227,c_1335]) ).
tcf(c_175241,plain,
! [X0: $i,X1: $i] :
( sP8(X0,X1)
| v4_ordinal2(sK64(X0,X1))
| ~ v5_membered(X0) ),
inference(superposition,[status(thm)],[c_429,c_1343]) ).
tcf(c_175283,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v4_ordinal2(X3)
| ~ v5_membered(k2_enumset1(X0,X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_81910,c_1343]) ).
tcf(c_175284,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v4_ordinal2(X2)
| ~ v5_membered(k2_enumset1(X0,X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_81915,c_1343]) ).
tcf(c_175285,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v4_ordinal2(X1)
| ~ v5_membered(k2_enumset1(X0,X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_81920,c_1343]) ).
tcf(c_175494,plain,
! [X0: $i] :
( sP23(X0)
| v4_membered(k2_relat_1(sK345(X0)))
| ~ v4_membered(k1_relat_1(X0)) ),
inference(superposition,[status(thm)],[c_2226,c_1427]) ).
tcf(c_175495,plain,
! [X0: $i] :
( sP23(X0)
| v4_membered(k2_relat_1(sK346(X0)))
| ~ v4_membered(k1_relat_1(X0)) ),
inference(superposition,[status(thm)],[c_2227,c_1427]) ).
tcf(c_175842,plain,
! [X0: $i,X1: $i] :
( sP8(X0,X1)
| v1_int_1(sK64(X0,X1))
| ~ v4_membered(X0) ),
inference(superposition,[status(thm)],[c_429,c_1435]) ).
tcf(c_175885,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v1_int_1(X3)
| ~ v4_membered(k2_enumset1(X0,X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_81910,c_1435]) ).
tcf(c_175886,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v1_int_1(X2)
| ~ v4_membered(k2_enumset1(X0,X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_81915,c_1435]) ).
tcf(c_175887,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v1_int_1(X1)
| ~ v4_membered(k2_enumset1(X0,X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_81920,c_1435]) ).
tcf(c_176113,plain,
! [X0: $i] :
( sP23(X0)
| v3_membered(k2_relat_1(sK345(X0)))
| ~ v3_membered(k1_relat_1(X0)) ),
inference(superposition,[status(thm)],[c_2226,c_1484]) ).
tcf(c_176114,plain,
! [X0: $i] :
( sP23(X0)
| v3_membered(k2_relat_1(sK346(X0)))
| ~ v3_membered(k1_relat_1(X0)) ),
inference(superposition,[status(thm)],[c_2227,c_1484]) ).
tcf(c_176297,plain,
! [X0: $i] :
( sP23(X0)
| v2_membered(k2_relat_1(sK345(X0)))
| ~ v2_membered(k1_relat_1(X0)) ),
inference(superposition,[status(thm)],[c_2226,c_1527]) ).
tcf(c_176298,plain,
! [X0: $i] :
( sP23(X0)
| v2_membered(k2_relat_1(sK346(X0)))
| ~ v2_membered(k1_relat_1(X0)) ),
inference(superposition,[status(thm)],[c_2227,c_1527]) ).
tcf(c_177246,plain,
! [X0: $i,X1: $i] :
( sP8(X0,X1)
| v1_xreal_0(sK64(X0,X1))
| ~ v2_membered(X0) ),
inference(superposition,[status(thm)],[c_429,c_1535]) ).
tcf(c_177290,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v1_xreal_0(X3)
| ~ v2_membered(k2_enumset1(X0,X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_81910,c_1535]) ).
tcf(c_177291,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v1_xreal_0(X2)
| ~ v2_membered(k2_enumset1(X0,X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_81915,c_1535]) ).
tcf(c_177292,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v1_xreal_0(X1)
| ~ v2_membered(k2_enumset1(X0,X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_81920,c_1535]) ).
tcf(c_177515,plain,
! [X0: $i,X1: $i] :
( sP8(X1,X0)
| v1_xcmplx_0(sK65(X1,X0))
| ~ v2_membered(u1_struct_0(X0)) ),
inference(superposition,[status(thm)],[c_431,c_1550]) ).
tcf(c_177516,plain,
! [X0: $i,X1: $i] :
( sP8(X1,X0)
| v1_xcmplx_0(sK64(X1,X0))
| ~ v2_membered(u1_struct_0(X0)) ),
inference(superposition,[status(thm)],[c_432,c_1550]) ).
tcf(c_177536,plain,
! [X0: $i] :
( sP31(X0)
| v1_xcmplx_0(sK533(X0))
| ~ v2_membered(u1_struct_0(X0)) ),
inference(superposition,[status(thm)],[c_3410,c_1550]) ).
tcf(c_177537,plain,
! [X0: $i] :
( sP31(X0)
| v1_xcmplx_0(sK532(X0))
| ~ v2_membered(u1_struct_0(X0)) ),
inference(superposition,[status(thm)],[c_3411,c_1550]) ).
tcf(c_177538,plain,
! [X0: $i] :
( sP31(X0)
| v1_xcmplx_0(sK531(X0))
| ~ v2_membered(u1_struct_0(X0)) ),
inference(superposition,[status(thm)],[c_3412,c_1550]) ).
tcf(c_177729,plain,
! [X0: $i,X1: $i] :
( sP8(X1,X0)
| v1_xreal_0(sK65(X1,X0))
| ~ v2_membered(u1_struct_0(X0)) ),
inference(superposition,[status(thm)],[c_431,c_1551]) ).
tcf(c_177730,plain,
! [X0: $i,X1: $i] :
( sP8(X1,X0)
| v1_xreal_0(sK64(X1,X0))
| ~ v2_membered(u1_struct_0(X0)) ),
inference(superposition,[status(thm)],[c_432,c_1551]) ).
tcf(c_177750,plain,
! [X0: $i] :
( sP31(X0)
| v1_xreal_0(sK533(X0))
| ~ v2_membered(u1_struct_0(X0)) ),
inference(superposition,[status(thm)],[c_3410,c_1551]) ).
tcf(c_177751,plain,
! [X0: $i] :
( sP31(X0)
| v1_xreal_0(sK532(X0))
| ~ v2_membered(u1_struct_0(X0)) ),
inference(superposition,[status(thm)],[c_3411,c_1551]) ).
tcf(c_177752,plain,
! [X0: $i] :
( sP31(X0)
| v1_xreal_0(sK531(X0))
| ~ v2_membered(u1_struct_0(X0)) ),
inference(superposition,[status(thm)],[c_3412,c_1551]) ).
tcf(c_177908,plain,
! [X0: $i] :
( sP23(X0)
| v1_membered(k2_relat_1(sK345(X0)))
| ~ v1_membered(k1_relat_1(X0)) ),
inference(superposition,[status(thm)],[c_2226,c_1573]) ).
tcf(c_177909,plain,
! [X0: $i] :
( sP23(X0)
| v1_membered(k2_relat_1(sK346(X0)))
| ~ v1_membered(k1_relat_1(X0)) ),
inference(superposition,[status(thm)],[c_2227,c_1573]) ).
tcf(c_178242,plain,
! [X0: $i,X1: $i] :
( sP8(X0,X1)
| v1_xcmplx_0(sK64(X0,X1))
| ~ v1_membered(X0) ),
inference(superposition,[status(thm)],[c_429,c_1578]) ).
tcf(c_178287,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v1_xcmplx_0(X3)
| ~ v1_membered(k2_enumset1(X0,X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_81910,c_1578]) ).
tcf(c_178288,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v1_xcmplx_0(X2)
| ~ v1_membered(k2_enumset1(X0,X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_81915,c_1578]) ).
tcf(c_178289,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v1_xcmplx_0(X1)
| ~ v1_membered(k2_enumset1(X0,X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_81920,c_1578]) ).
tcf(c_178506,plain,
! [X0: $i,X1: $i] :
( sP8(X1,X0)
| v1_xcmplx_0(sK65(X1,X0))
| ~ v1_membered(u1_struct_0(X0)) ),
inference(superposition,[status(thm)],[c_431,c_1586]) ).
tcf(c_178507,plain,
! [X0: $i,X1: $i] :
( sP8(X1,X0)
| v1_xcmplx_0(sK64(X1,X0))
| ~ v1_membered(u1_struct_0(X0)) ),
inference(superposition,[status(thm)],[c_432,c_1586]) ).
tcf(c_178527,plain,
! [X0: $i] :
( sP31(X0)
| v1_xcmplx_0(sK533(X0))
| ~ v1_membered(u1_struct_0(X0)) ),
inference(superposition,[status(thm)],[c_3410,c_1586]) ).
tcf(c_178528,plain,
! [X0: $i] :
( sP31(X0)
| v1_xcmplx_0(sK532(X0))
| ~ v1_membered(u1_struct_0(X0)) ),
inference(superposition,[status(thm)],[c_3411,c_1586]) ).
tcf(c_178529,plain,
! [X0: $i] :
( sP31(X0)
| v1_xcmplx_0(sK531(X0))
| ~ v1_membered(u1_struct_0(X0)) ),
inference(superposition,[status(thm)],[c_3412,c_1586]) ).
tcf(c_178881,plain,
! [X0: $i] :
( sP23(X0)
| v1_finset_1(k2_relat_1(sK345(X0)))
| ~ v1_finset_1(k1_relat_1(X0)) ),
inference(superposition,[status(thm)],[c_2226,c_1686]) ).
tcf(c_178882,plain,
! [X0: $i] :
( sP23(X0)
| v1_finset_1(k2_relat_1(sK346(X0)))
| ~ v1_finset_1(k1_relat_1(X0)) ),
inference(superposition,[status(thm)],[c_2227,c_1686]) ).
tcf(c_179260,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP8(k4_xboole_0(X0,X1),X2)
| r2_hidden(sK64(k4_xboole_0(X0,X1),X2),X0) ),
inference(superposition,[status(thm)],[c_429,c_1745]) ).
tcf(c_180707,plain,
! [X0: $i] :
( sP23(X0)
| ( k7_relat_1(sK346(X0),np__0) = np__0 ) ),
inference(superposition,[status(thm)],[c_2230,c_2045]) ).
tcf(c_180708,plain,
! [X0: $i] :
( sP23(X0)
| ( k7_relat_1(sK345(X0),np__0) = np__0 ) ),
inference(superposition,[status(thm)],[c_2232,c_2045]) ).
tcf(c_181478,plain,
! [X0: $i] :
( sP23(X0)
| ( k5_relat_1(np__0,sK346(X0)) = np__0 ) ),
inference(superposition,[status(thm)],[c_2230,c_2269]) ).
tcf(c_181479,plain,
! [X0: $i] :
( sP23(X0)
| ( k5_relat_1(np__0,sK345(X0)) = np__0 ) ),
inference(superposition,[status(thm)],[c_2232,c_2269]) ).
tcf(c_182000,plain,
! [X0: $i] :
( sP23(X0)
| ( k5_relat_1(sK346(X0),np__0) = np__0 ) ),
inference(superposition,[status(thm)],[c_2230,c_2270]) ).
tcf(c_182001,plain,
! [X0: $i] :
( sP23(X0)
| ( k5_relat_1(sK345(X0),np__0) = np__0 ) ),
inference(superposition,[status(thm)],[c_2232,c_2270]) ).
tcf(c_183446,plain,
! [X0: $i,X1: $i,X2: $i] : k1_setfam_1(k2_enumset1(X0,X1,X2,np__0)) = np__0,
inference(superposition,[status(thm)],[c_81910,c_2540]) ).
tcf(c_183447,plain,
! [X0: $i,X1: $i,X2: $i] : k1_setfam_1(k2_enumset1(X0,X1,np__0,X2)) = np__0,
inference(superposition,[status(thm)],[c_81915,c_2540]) ).
tcf(c_183448,plain,
! [X0: $i,X1: $i,X2: $i] : k1_setfam_1(k2_enumset1(X0,np__0,X1,X2)) = np__0,
inference(superposition,[status(thm)],[c_81920,c_2540]) ).
tcf(c_184307,plain,
! [X0: $i] :
( sP23(X0)
| ( k10_relat_1(sK346(X0),np__0) = np__0 ) ),
inference(superposition,[status(thm)],[c_2230,c_3121]) ).
tcf(c_184308,plain,
! [X0: $i] :
( sP23(X0)
| ( k10_relat_1(sK345(X0),np__0) = np__0 ) ),
inference(superposition,[status(thm)],[c_2232,c_3121]) ).
tcf(c_184486,plain,
! [X0: $i] :
( sP23(X0)
| ( k9_relat_1(sK346(X0),np__0) = np__0 ) ),
inference(superposition,[status(thm)],[c_2230,c_3161]) ).
tcf(c_184487,plain,
! [X0: $i] :
( sP23(X0)
| ( k9_relat_1(sK345(X0),np__0) = np__0 ) ),
inference(superposition,[status(thm)],[c_2232,c_3161]) ).
tcf(c_185118,plain,
! [X0: $i] :
( sP23(X0)
| ( k8_relat_1(np__0,sK346(X0)) = np__0 ) ),
inference(superposition,[status(thm)],[c_2230,c_3295]) ).
tcf(c_185119,plain,
! [X0: $i] :
( sP23(X0)
| ( k8_relat_1(np__0,sK345(X0)) = np__0 ) ),
inference(superposition,[status(thm)],[c_2232,c_3295]) ).
tcf(c_185485,plain,
$false,
inference(smt_impl_just,[status(thm)],[c_185399,c_185398,c_185397,c_185396,c_185395,c_185394,c_185393,c_185392,c_185391,c_185390,c_185389,c_185388,c_185387,c_185386,c_185385,c_185384,c_185383,c_185382,c_185381,c_185380,c_185379,c_185378,c_185377,c_185376,c_185375,c_185374,c_185373,c_185372,c_185371,c_185370,c_185369,c_185368,c_185367,c_185276,c_185275,c_185274,c_185273,c_185272,c_185271,c_185270,c_185269,c_185268,c_185267,c_185266,c_185265,c_185264,c_185263,c_185262,c_185261,c_185260,c_185259,c_185258,c_185257,c_185256,c_185255,c_185254,c_185253,c_185252,c_185251,c_185250,c_185135,c_185134,c_185133,c_185132,c_185131,c_185130,c_185129,c_185128,c_185127,c_185126,c_185125,c_185124,c_185123,c_185122,c_185121,c_185120,c_185119,c_185118,c_185117,c_185116,c_185115,c_185114,c_185113,c_185112,c_185111,c_185110,c_185109,c_185108,c_185107,c_185106,c_185105,c_185104,c_185102,c_185101,c_185038,c_185033,c_185030,c_185027,c_185024,c_185021,c_185018,c_185015,c_184978,c_184975,c_184972,c_184969,c_184966,c_184963,c_184960,c_184847,c_184846,c_184845,c_184844,c_184843,c_184842,c_184841,c_184840,c_184839,c_184838,c_184837,c_184836,c_184835,c_184834,c_184833,c_184832,c_184831,c_184830,c_184829,c_184828,c_184827,c_184826,c_184825,c_184824,c_184823,c_184822,c_184820,c_184819,c_184818,c_184817,c_184816,c_184815,c_184814,c_184813,c_184812,c_184811,c_184809,c_184808,c_184807,c_184805,c_184804,c_184803,c_184810,c_184801,c_184800,c_184799,c_184798,c_184796,c_184795,c_184794,c_184806,c_184792,c_184791,c_184790,c_184789,c_184787,c_184785,c_184786,c_184821,c_184772,c_184771,c_184764,c_184693,c_184692,c_184691,c_184690,c_184689,c_184688,c_184687,c_184685,c_184684,c_184683,c_184682,c_184640,c_184635,c_184634,c_184633,c_184632,c_184631,c_184630,c_184629,c_184628,c_184627,c_184626,c_184625,c_184624,c_184503,c_184502,c_184501,c_184500,c_184499,c_184498,c_184497,c_184496,c_184495,c_184494,c_184493,c_184492,c_184491,c_184490,c_184489,c_184488,c_184487,c_184486,c_184485,c_184484,c_184483,c_184482,c_184481,c_184480,c_184479,c_184478,c_184477,c_184476,c_184475,c_184474,c_184473,c_184472,c_184470,c_184469,c_184416,c_184411,c_184410,c_184409,c_184408,c_184407,c_184406,c_184405,c_184404,c_184403,c_184402,c_184401,c_184400,c_184399,c_184398,c_184397,c_184324,c_184323,c_184322,c_184321,c_184320,c_184319,c_184318,c_184317,c_184316,c_184315,c_184314,c_184313,c_184312,c_184311,c_184310,c_184309,c_184308,c_184307,c_184306,c_184305,c_184304,c_184303,c_184302,c_184301,c_184300,c_184299,c_184298,c_184297,c_184296,c_184295,c_184294,c_184293,c_184291,c_184290,c_184267,c_184266,c_184265,c_184264,c_184263,c_184262,c_184261,c_184254,c_184229,c_184228,c_184225,c_184224,c_184223,c_184212,c_184211,c_184210,c_184209,c_184208,c_184207,c_184206,c_184205,c_184191,c_184189,c_184187,c_184186,c_184185,c_184184,c_184183,c_184171,c_184170,c_184169,c_184168,c_184167,c_184157,c_184155,c_184153,c_184152,c_184151,c_184149,c_184144,c_184143,c_184142,c_184140,c_184064,c_184063,c_184062,c_184061,c_184060,c_184059,c_184058,c_184057,c_184056,c_184055,c_184054,c_184053,c_184052,c_184045,c_184044,c_184043,c_184009,c_183994,c_183992,c_183991,c_183990,c_183989,c_183988,c_183906,c_183905,c_183904,c_183903,c_183902,c_183901,c_183900,c_183899,c_183898,c_183897,c_183896,c_183895,c_183894,c_183893,c_183892,c_183891,c_183890,c_183889,c_183888,c_183887,c_183886,c_183885,c_183859,c_183858,c_183857,c_183821,c_183815,c_183813,c_183808,c_183807,c_183806,c_183804,c_183803,c_183802,c_183801,c_183800,c_183799,c_183797,c_183731,c_183730,c_183729,c_183727,c_183725,c_183723,c_183721,c_183718,c_183717,c_183716,c_183714,c_183713,c_183712,c_183711,c_183710,c_183709,c_183707,c_183684,c_183681,c_183679,c_183678,c_183677,c_183676,c_183675,c_183674,c_183673,c_183672,c_183659,c_183630,c_183628,c_183627,c_183625,c_183620,c_183619,c_183618,c_183617,c_183614,c_183604,c_183603,c_183602,c_183601,c_183598,c_183597,c_183596,c_183595,c_183593,c_183592,c_183591,c_183590,c_183576,c_183575,c_183574,c_183573,c_183570,c_183569,c_183568,c_183567,c_183565,c_183563,c_183523,c_183522,c_183521,c_183520,c_183519,c_183518,c_183517,c_183515,c_183508,c_183499,c_183502,c_183506,c_183503,c_183507,c_183509,c_183512,c_183511,c_183490,c_183513,c_183514,c_183482,c_183481,c_183480,c_183478,c_183479,c_183454,c_183451,c_183450,c_183449,c_183448,c_183447,c_183446,c_183445,c_183444,c_183443,c_183440,c_183381,c_183363,c_183362,c_183361,c_183360,c_183359,c_183358,c_183357,c_183356,c_183355,c_183354,c_183353,c_183352,c_183351,c_183350,c_183349,c_183108,c_183107,c_183106,c_183105,c_183104,c_183103,c_183102,c_183101,c_183100,c_183099,c_183098,c_183097,c_183096,c_183095,c_183094,c_183093,c_183092,c_183091,c_183090,c_183089,c_183088,c_183087,c_183086,c_183085,c_183084,c_183083,c_183082,c_183081,c_183080,c_183079,c_183078,c_183077,c_183076,c_183075,c_183074,c_183073,c_183072,c_183071,c_183070,c_183069,c_183068,c_183067,c_183066,c_183065,c_183064,c_183063,c_183062,c_183061,c_183060,c_183059,c_183058,c_183057,c_183056,c_183055,c_183054,c_183053,c_182993,c_182990,c_182987,c_182984,c_182981,c_182980,c_182960,c_182959,c_182919,c_182918,c_182917,c_182916,c_182914,c_182913,c_182912,c_182911,c_182910,c_182909,c_182908,c_182907,c_182906,c_182905,c_182904,c_182903,c_182902,c_182901,c_182900,c_182915,c_182898,c_182897,c_182896,c_182895,c_182894,c_182893,c_182892,c_182891,c_182890,c_182889,c_182888,c_182887,c_182886,c_182885,c_182884,c_182883,c_182882,c_182881,c_182880,c_182879,c_182878,c_182877,c_182876,c_182875,c_182874,c_182873,c_182872,c_182871,c_182870,c_182868,c_182869,c_182866,c_182865,c_182864,c_182863,c_182862,c_182861,c_182860,c_182859,c_182858,c_182856,c_182854,c_182853,c_182852,c_182851,c_182850,c_182922,c_182845,c_182844,c_182843,c_182842,c_182841,c_182821,c_182820,c_182819,c_182818,c_182816,c_182815,c_182814,c_182813,c_182811,c_182810,c_182809,c_182808,c_182805,c_182804,c_182803,c_182802,c_182794,c_182793,c_182792,c_182791,c_182788,c_182787,c_182786,c_182785,c_182748,c_182747,c_182746,c_182745,c_182743,c_182738,c_182735,c_182734,c_182733,c_182732,c_182731,c_182699,c_182698,c_182697,c_182694,c_182686,c_182685,c_182684,c_182683,c_182583,c_182581,c_182579,c_182577,c_182576,c_182572,c_182571,c_182570,c_182569,c_182568,c_182567,c_182566,c_182565,c_182564,c_182563,c_182562,c_182561,c_182560,c_182559,c_182558,c_182557,c_182556,c_182555,c_182554,c_182553,c_182552,c_182465,c_182464,c_182459,c_182457,c_182456,c_182454,c_182453,c_182452,c_182451,c_182450,c_182449,c_182446,c_182444,c_182443,c_182442,c_182441,c_182440,c_182439,c_182438,c_182437,c_182436,c_182434,c_182370,c_182367,c_182349,c_182348,c_182346,c_182339,c_182338,c_182337,c_182336,c_182335,c_182334,c_182333,c_182332,c_182331,c_182330,c_182329,c_182328,c_182327,c_182326,c_182325,c_182324,c_182322,c_182321,c_182320,c_182319,c_182318,c_182317,c_182316,c_182315,c_182314,c_182313,c_182312,c_182311,c_182310,c_182308,c_182309,c_182306,c_182305,c_182304,c_182303,c_182302,c_182301,c_182300,c_182299,c_182298,c_182296,c_182294,c_182293,c_182292,c_182291,c_182290,c_182289,c_182288,c_182286,c_182287,c_182340,c_182323,c_182282,c_182281,c_182280,c_182279,c_182277,c_182276,c_182275,c_182274,c_182266,c_182265,c_182264,c_182263,c_182260,c_182259,c_182258,c_182257,c_182246,c_182245,c_182244,c_182243,c_182240,c_182239,c_182238,c_182237,c_182223,c_182222,c_182221,c_182184,c_182166,c_182165,c_182164,c_182163,c_182162,c_182161,c_182160,c_182159,c_182158,c_182157,c_182156,c_182155,c_182154,c_182153,c_182152,c_182128,c_182116,c_182115,c_182114,c_182113,c_182112,c_182111,c_182016,c_182015,c_182014,c_182013,c_182012,c_182011,c_182010,c_182009,c_182008,c_182007,c_182006,c_182005,c_182004,c_182003,c_182002,c_182001,c_182000,c_181998,c_181997,c_181996,c_181995,c_181994,c_181993,c_181992,c_181991,c_181990,c_181989,c_181988,c_181987,c_181986,c_181984,c_181983,c_181853,c_181848,c_181847,c_181845,c_181844,c_181843,c_181841,c_181840,c_181837,c_181836,c_181835,c_181846,c_181832,c_181831,c_181830,c_181829,c_181828,c_181827,c_181825,c_181824,c_181823,c_181821,c_181820,c_181818,c_181813,c_181812,c_181811,c_181810,c_181809,c_181808,c_181807,c_181806,c_181805,c_181804,c_181803,c_181802,c_181801,c_181791,c_181790,c_181789,c_181785,c_181784,c_181783,c_181781,c_181780,c_181779,c_181775,c_181774,c_181773,c_181772,c_181771,c_181767,c_181766,c_181749,c_181748,c_181747,c_181737,c_181735,c_181734,c_181733,c_181681,c_181680,c_181679,c_181669,c_181667,c_181666,c_181665,c_181623,c_181622,c_181621,c_181611,c_181609,c_181608,c_181607,c_181494,c_181493,c_181492,c_181491,c_181490,c_181489,c_181488,c_181487,c_181486,c_181485,c_181484,c_181483,c_181482,c_181481,c_181480,c_181479,c_181478,c_181476,c_181475,c_181474,c_181473,c_181472,c_181471,c_181470,c_181469,c_181468,c_181467,c_181466,c_181465,c_181464,c_181462,c_181461,c_181353,c_181352,c_181351,c_181350,c_181349,c_181348,c_181347,c_181346,c_181345,c_181344,c_181343,c_181342,c_181341,c_181340,c_181339,c_181337,c_181336,c_181335,c_181334,c_181333,c_181332,c_181331,c_181330,c_181329,c_181328,c_181224,c_181223,c_181222,c_181221,c_181220,c_181219,c_181218,c_181217,c_181216,c_181215,c_181214,c_181213,c_181212,c_181211,c_181210,c_181208,c_181207,c_181206,c_181205,c_181204,c_181203,c_181202,c_181201,c_181200,c_181199,c_181144,c_181143,c_181142,c_181140,c_181138,c_181137,c_181136,c_181135,c_181134,c_181133,c_181132,c_181131,c_181130,c_181126,c_181124,c_181123,c_181122,c_181121,c_181119,c_181117,c_181118,c_181113,c_181112,c_181111,c_181109,c_181108,c_181107,c_181105,c_181106,c_181103,c_181102,c_181101,c_181100,c_181099,c_181098,c_181129,c_181127,c_181128,c_181071,c_181070,c_181065,c_181064,c_181063,c_181053,c_181051,c_181050,c_181049,c_181026,c_181025,c_181022,c_181019,c_181018,c_181017,c_181016,c_181015,c_181005,c_181003,c_181002,c_180984,c_180982,c_180981,c_180983,c_180963,c_180962,c_180961,c_180960,c_180951,c_180950,c_180949,c_180948,c_180840,c_180839,c_180838,c_180837,c_180836,c_180835,c_180834,c_180833,c_180832,c_180831,c_180830,c_180829,c_180828,c_180827,c_180826,c_180825,c_180824,c_180823,c_180822,c_180821,c_18082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).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LAT292+2 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/11.32 % Computer : n016.cluster.edu
% 0.10/11.32 % Model : x86_64 x86_64
% 0.10/11.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/11.32 % Memory : 8046.5625MB
% 0.10/11.32 % OS : Linux 6.8.0-71-generic
% 0.10/11.32 % CPULimit : 300
% 0.10/11.32 % WCLimit : 300
% 0.10/11.32 % DateTime : Wed Sep 23 20:57:57 UTC 2026
% 0.10/11.33 % CPUTime :
% 0.10/11.33 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/11.36 Running first-order theorem proving
% 0.10/11.36 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/11.37
% 0.10/11.37 % ======== iProver multi-core TPTP/SMT =========
% 0.10/11.37
% 0.10/11.38 % Detected problem language: tptp
% 0.10/11.39 % Proving...
% 111.95/38.94 % SZS status Started for theBenchmark.p
% 111.95/38.94 ERROR - "ProverProcess:heur/409474:1.0" ran with exit code 2 and error: iprover.ml: Unexpected exception: Failure("Clausification error: res/vclausify_rel exits with an error status: 1")
% 111.95/38.94 Fatal error: exception Failure("Clausification error: res/vclausify_rel exits with an error status: 1")
% 111.95/38.94 ERROR - cmd was: ulimit -v 4023281; ./res/iproveropt --abstr_ref "[]" --abstr_ref_under "[]" --comb_inst_mult 3 --comb_mode clause_based --comb_res_mult 4 --comb_sup_deep_mult 2 --comb_sup_mult 0 --conj_cone_tolerance 3. --demod_completeness_check fast --demod_use_ground true --eq_ax_congr_red true --extra_neg_conj none --inst_activity_threshold 500 --inst_dismatching true --inst_eager_unprocessed_to_passive true --inst_eq_res_simp false --inst_learning_factor 2 --inst_learning_loop_flag true --inst_learning_start 3000 --inst_lit_activity_flag true --inst_lit_sel "[+prop;+sign;+ground;-num_var;-num_symb]" --inst_lit_sel_side num_symb --inst_orphan_elimination true --inst_passive_queue_type priority_queues --inst_passive_queues "[[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]" --inst_passive_queues_freq "[25;2]" --inst_prop_sim_given true --inst_prop_sim_new false --inst_restr_to_given false --inst_sel_renew solver --inst_solver_calls_frac 1. --inst_solver_per_active 1400 --inst_sos_flag false --inst_start_prop_sim_after_learn 3 --inst_subs_given false --inst_subs_new false --instantiation_flag true --out_options none --pred_elim true --prep_def_merge true --prep_def_merge_mbd true --prep_def_merge_prop_impl false --prep_def_merge_tr_cl false --prep_def_merge_tr_red false --prep_gs_sim true --prep_res_sim true --prep_sem_filter exhaustive --prep_sup_sim_all true --prep_sup_sim_sup false --prep_unflatten true --prep_upred true --preprocessing_flag true --prolific_symb_bound 256 --prop_solver_per_cl 1024 --pure_diseq_elim true --res_backward_subs full --res_backward_subs_resolution false --res_forward_subs subset_subsumption --res_forward_subs_resolution true --res_lit_sel pos_max --res_lit_sel_side num_var --res_ordering kbo_pred --res_passive_queue_type priority_queues --res_passive_queues "[[-num_lits];[-conj_symb;-num_symb;+num_symb]]" --res_passive_queues_freq "[15;3]" --res_prop_simpl_given false --res_prop_simpl_new true --res_sim_input true --res_time_limit 202.80 --res_to_prop_solver passive --resolution_flag true --schedule none --share_sel_clauses true --smt_ac_axioms fast --smt_preprocessing true --splitting_cvd false --splitting_cvd_svl false --splitting_grd true --splitting_mode input --splitting_nvd 32 --stats_out none --sub_typing true --subs_bck_mult 8 --sup_full_bw "[]" --sup_full_fw "[]" --sup_full_triv "[PropSubs]" --sup_fun_splitting false --sup_immed_bw_immed "[]" --sup_immed_bw_main "[]" --sup_immed_fw_immed "[ACNormalisation]" --sup_immed_fw_main "[]" --sup_immed_triv "[]" --sup_indices_passive "[]" --sup_input_bw "[]" --sup_input_fw "[ACNormalisation]" --sup_input_triv "[Unflattening]" --sup_iter_deepening 2 --sup_passive_queue_type priority_queues --sup_passive_queues "[[-conj_dist;-num_symb];[+age;-num_symb];[+score;-num_symb]]" --sup_passive_queues_freq "[8;4;4]" --sup_prop_simpl_given true --sup_prop_simpl_new true --sup_restarts_mult 2 --sup_score sim_d_gen --sup_share_max_num_cl 500 --sup_share_score_frac 0.2 --sup_smt_interval 10000 --sup_symb_ordering invfreq --sup_to_prop_solver passive --superposition_flag true --time_out_prep_mult 0.1 --suppress_sat_res true --tptp_safe_out true --proof_out true --sat_out_model pos --clausifier res/vclausify_rel --clausifier_options "--mode clausify -t 0.33" --time_out_real 1.00 /export/starexec/sandbox/benchmark/theBenchmark.p 1>> /export/starexec/sandbox/tmp/iprover_out_4nojbpds/gaqrd9tr 2>> /export/starexec/sandbox/tmp/iprover_out_4nojbpds/gaqrd9tr_error
% 111.95/38.94 ERROR - "ProverProcess:heur/469571:1.0" ran with exit code 2 and error: iprover.ml: Unexpected exception: Failure("Clausification error: res/vclausify_rel exits with an error status: 1")
% 111.95/38.94 Fatal error: exception Failure("Clausification error: res/vclausify_rel exits with an error status: 1")
% 111.95/38.94 ERROR - cmd was: ulimit -v 4023281; ./res/iproveropt --abstr_ref "[]" --abstr_ref_under "[]" --comb_inst_mult 6 --comb_mode clause_based --comb_res_mult 1 --comb_sup_deep_mult 2 --comb_sup_mult 0 --conj_cone_tolerance 3.0 --demod_completeness_check fast --demod_use_ground true --eq_ax_congr_red true --extra_neg_conj none --inst_activity_threshold 32 --inst_dismatching false --inst_eager_unprocessed_to_passive false --inst_eq_res_simp false --inst_learning_factor 10 --inst_learning_loop_flag true --inst_learning_start 256 --inst_lit_activity_flag true --inst_lit_sel "[+sign;-ground;-non_prol_conj_symb;-num_var]" --inst_lit_sel_side num_lit --inst_orphan_elimination true --inst_passive_queue_type list --inst_passive_queues "[[-ground;-epr]]" --inst_passive_queues_freq "[2]" --inst_prop_sim_given false --inst_prop_sim_new false --inst_restr_to_given true --inst_sel_renew solver --inst_solver_calls_frac 0.6939020527068606 --inst_solver_per_active 8 --inst_sos_flag false --inst_start_prop_sim_after_learn 9 --inst_subs_given false --inst_subs_new false --instantiation_flag true --out_options none --pred_elim true --prep_def_merge true --prep_def_merge_mbd true --prep_def_merge_prop_impl false --prep_def_merge_tr_cl false --prep_def_merge_tr_red false --prep_gs_sim true --prep_res_sim true --prep_sem_filter exhaustive --prep_sup_sim_all true --prep_sup_sim_sup false --prep_unflatten true --prep_upred true --preprocessing_flag true --prolific_symb_bound 2048 --prop_solver_per_cl 128 --pure_diseq_elim true --res_backward_subs full --res_backward_subs_resolution true --res_forward_subs full --res_forward_subs_resolution true --res_lit_sel adaptive --res_lit_sel_side none --res_ordering kbo --res_passive_queue_type priority_queues --res_passive_queues "[[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]" --res_passive_queues_freq "[15;5]" --res_prop_simpl_given true --res_prop_simpl_new false --res_sim_input true --res_time_limit 300.00 --res_to_prop_solver active --resolution_flag true --schedule none --share_sel_clauses true --smt_ac_axioms fast --smt_preprocessing true --splitting_cvd false --splitting_cvd_svl false --splitting_grd true --splitting_mode input --splitting_nvd 32 --stats_out none --sub_typing true --subs_bck_mult 8 --sup_full_bw "[]" --sup_full_fw "[]" --sup_full_triv "[PropSubs]" --sup_fun_splitting false --sup_immed_bw_immed "[]" --sup_immed_bw_main "[]" --sup_immed_fw_immed "[ACNormalisation]" --sup_immed_fw_main "[]" --sup_immed_triv "[]" --sup_indices_passive "[]" --sup_input_bw "[]" --sup_input_fw "[DemodLightNormLoopTriv;ACNormalisation]" --sup_input_triv "[Unflattening]" --sup_iter_deepening 2 --sup_passive_queue_type priority_queues --sup_passive_queues "[[-conj_dist;-num_symb];[+age;-num_symb];[+score;-num_symb]]" --sup_passive_queues_freq "[8;4;4]" --sup_prop_simpl_given true --sup_prop_simpl_new true --sup_restarts_mult 2 --sup_score sim_d_gen --sup_share_max_num_cl 640 --sup_share_score_frac 0.1 --sup_smt_interval 10000 --sup_symb_ordering invfreq --sup_to_prop_solver passive --superposition_flag true --time_out_prep_mult 0.1 --suppress_sat_res true --tptp_safe_out true --proof_out true --sat_out_model pos --clausifier res/vclausify_rel --clausifier_options "--mode clausify -t 0.33" --time_out_real 1.00 /export/starexec/sandbox/benchmark/theBenchmark.p 1>> /export/starexec/sandbox/tmp/iprover_out_4nojbpds/k5h6ii8y 2>> /export/starexec/sandbox/tmp/iprover_out_4nojbpds/k5h6ii8y_error
% 111.95/38.94 ERROR - "ProverProcess:heur/381325:1.0" ran with exit code 2 and error: iprover.ml: Unexpected exception: Failure("Clausification error: res/vclausify_rel exits with an error status: 1")
% 111.95/38.94 Fatal error: exception Failure("Clausification error: res/vclausify_rel exits with an error status: 1")
% 111.95/38.94 ERROR - cmd was: ulimit -v 4023281; ./res/iproveropt --abstr_ref "[]" --abstr_ref_under "[]" --comb_inst_mult 3 --comb_mode clause_based --comb_res_mult 1 --comb_sup_deep_mult 1 --comb_sup_mult 3 --conj_cone_tolerance 3. --demod_completeness_check full --demod_use_ground true --eq_ax_congr_red true --extra_neg_conj none --inst_activity_threshold 500 --inst_dismatching true --inst_eager_unprocessed_to_passive true --inst_eq_res_simp false --inst_learning_factor 2 --inst_learning_loop_flag true --inst_learning_start 3000 --inst_lit_activity_flag true --inst_lit_sel "[+prop;+sign;+ground;-num_var;-num_symb]" --inst_lit_sel_side num_symb --inst_orphan_elimination true --inst_passive_queue_type priority_queues --inst_passive_queues "[[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]" --inst_passive_queues_freq "[25;2]" --inst_prop_sim_given true --inst_prop_sim_new false --inst_restr_to_given false --inst_sel_renew solver --inst_solver_calls_frac 1. --inst_solver_per_active 1400 --inst_sos_flag false --inst_start_prop_sim_after_learn 3 --inst_subs_given false --inst_subs_new false --instantiation_flag true --out_options none --pred_elim true --prep_def_merge true --prep_def_merge_mbd true --prep_def_merge_prop_impl false --prep_def_merge_tr_cl false --prep_def_merge_tr_red false --prep_gs_sim true --prep_res_sim true --prep_sem_filter exhaustive --prep_sup_sim_all true --prep_sup_sim_sup false --prep_unflatten true --prep_upred true --preprocessing_flag true --prolific_symb_bound 256 --prop_solver_per_cl 1024 --pure_diseq_elim true --res_backward_subs full --res_backward_subs_resolution true --res_forward_subs full --res_forward_subs_resolution true --res_lit_sel adaptive --res_lit_sel_side none --res_ordering kbo --res_passive_queue_type priority_queues --res_passive_queues "[[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]" --res_passive_queues_freq "[15;5]" --res_prop_simpl_given true --res_prop_simpl_new false --res_sim_input true --res_time_limit 300.00 --res_to_prop_solver active --resolution_flag true --schedule none --share_sel_clauses true --smt_ac_axioms fast --smt_preprocessing true --splitting_cvd false --splitting_cvd_svl false --splitting_grd true --splitting_mode input --splitting_nvd 32 --stats_out none --sub_typing true --subs_bck_mult 8 --sup_full_bw "[]" --sup_full_fw "[Demod;DemodLoopTriv;LightNorm;ACNormalisation]" --sup_full_triv "[]" --sup_fun_splitting true --sup_immed_bw_immed "[]" --sup_immed_bw_main "[SubsumptionRes;UnitSubsAndRes]" --sup_immed_fw_immed "[Subsumption;UnitSubsAndRes;Demod;DemodLoopTriv;LightNorm;DemodLightNormLoopTriv]" --sup_immed_fw_main "[Subsumption;SubsumptionRes;LightNorm;DemodLightNormLoopTriv]" --sup_immed_triv "[PropSubs]" --sup_indices_passive "[UnitSubsumption;NonunitSubsumption;FwDemod]" --sup_input_bw "[UnitSubsAndRes]" --sup_input_fw "[]" --sup_input_triv "[PropSubs]" --sup_iter_deepening 0 --sup_passive_queue_type priority_queues --sup_passive_queues "[[-conj_symb;-max_atom_input_occur];[+horn];[+bc_imp_inh;+ground;-conj_dist]]" --sup_passive_queues_freq "[3;1;25]" --sup_prop_simpl_given true --sup_prop_simpl_new false --sup_restarts_mult 8 --sup_score sim_d_gen --sup_share_max_num_cl 40 --sup_share_score_frac 0.1 --sup_smt_interval 10000 --sup_symb_ordering arity_random --sup_to_prop_solver active --superposition_flag true --time_out_prep_mult 0.1 --suppress_sat_res true --tptp_safe_out true --proof_out true --sat_out_model pos --clausifier res/vclausify_rel --clausifier_options "--mode clausify -t 0.33" --time_out_real 1.00 /export/starexec/sandbox/benchmark/theBenchmark.p 1>> /export/starexec/sandbox/tmp/iprover_out_4nojbpds/va_88gqx 2>> /export/starexec/sandbox/tmp/iprover_out_4nojbpds/va_88gqx_error
% 111.95/38.94 ERROR - "ProverProcess:heur/346297:1.0" ran with exit code 2 and error: iprover.ml: Unexpected exception: Failure("Clausification error: res/vclausify_rel exits with an error status: 1")
% 111.95/38.94 Fatal error: exception Failure("Clausification error: res/vclausify_rel exits with an error status: 1")
% 111.95/38.94 ERROR - cmd was: ulimit -v 4023281; ./res/iproveropt --abstr_ref_under "[]" --comb_inst_mult 3 --comb_mode time_based --comb_sup_deep_mult 6 --comb_sup_mult 32 --conj_cone_tolerance 2.7380125131254 --demod_completeness_check full --demod_use_ground true --eq_ax_congr_red false --extra_neg_conj none --inst_activity_threshold 16 --inst_dismatching false --inst_eager_unprocessed_to_passive false --inst_eq_res_simp true --inst_learning_factor 6 --inst_learning_loop_flag true --inst_learning_start 1024 --inst_lit_activity_flag true --inst_lit_sel "[+depth;+sign;+num_symb;-split;-eq]" --inst_lit_sel_side cnt --inst_orphan_elimination true --inst_passive_queue_type list --inst_passive_queues "[[-num_lits];[-max_atom_input_occur;-ground]]" --inst_passive_queues_freq "[8;50]" --inst_prop_sim_given false --inst_prop_sim_new false --inst_restr_to_given false --inst_sel_renew solver --inst_solver_calls_frac 0.21724605765256222 --inst_solver_per_active 256 --inst_sos_flag true --inst_sos_phase true --inst_sos_sth_lit_sel "[-depth;+non_prol_conj_symb;-split;-ground;+num_var]" --inst_start_prop_sim_after_learn 8 --inst_subs_given false --inst_subs_new false --instantiation_flag true --out_options none --pred_elim true --prep_def_merge true --prep_def_merge_mbd false --prep_def_merge_prop_impl true --prep_def_merge_tr_cl true --prep_def_merge_tr_red false --prep_gs_sim true --prep_res_sim false --prep_sem_filter none --prep_sup_sim_all true --prep_sup_sim_sup false --prep_unflatten false --prep_upred true --preprocessing_flag true --prolific_symb_bound 2048 --prop_solver_per_cl 32 --pure_diseq_elim false --resolution_flag false --schedule none --share_sel_clauses false --smt_ac_axioms full --smt_preprocessing true --splitting_cvd true --splitting_cvd_svl false --splitting_grd true --splitting_mode full --splitting_nvd 128 --stats_out none --sub_typing true --subs_bck_mult 0 --sup_full_bw "[Demod]" --sup_full_fw "[Subsumption;SubsumptionRes;UnitSubsAndRes;DemodLoopTriv;DemodLightNormLoopTriv;ACJoinability;ACNormalisation]" --sup_full_triv "[PropSubs;Unflattening]" --sup_fun_splitting false --sup_immed_bw_immed "[]" --sup_immed_bw_main "[]" --sup_immed_fw_immed "[Subsumption;SubsumptionRes;UnitSubsAndRes;Demod;ACJoinability]" --sup_immed_fw_main "[SubsumptionRes;DemodLoopTriv;DemodLightNormLoopTriv;ACJoinability;ACNormalisation]" --sup_immed_triv "[]" --sup_indices_passive "[UnitSubsumption;NonunitSubsumption;Subsumption;FwDemod;BwDemod;LightNorm]" --sup_input_bw "[]" --sup_input_fw "[]" --sup_input_triv "[PropSubs;Unflattening]" --sup_iter_deepening 4 --sup_passive_queue_type queue --sup_passive_queues "[[+num_symb]]" --sup_passive_queues_freq "[5]" --sup_prop_simpl_given true --sup_prop_simpl_new false --sup_restarts_mult 4 --sup_smt_interval 10000 --sup_symb_ordering arity_random --sup_to_prop_solver passive --superposition_flag true --time_out_prep_mult 0.4432297345384799 --suppress_sat_res true --tptp_safe_out true --proof_out true --sat_out_model pos --clausifier res/vclausify_rel --clausifier_options "--mode clausify -t 0.33" --time_out_real 1.00 /export/starexec/sandbox/benchmark/theBenchmark.p 1>> /export/starexec/sandbox/tmp/iprover_out_4nojbpds/xnm4i7e5 2>> /export/starexec/sandbox/tmp/iprover_out_4nojbpds/xnm4i7e5_error
% 111.95/38.94 ERROR - "ProverProcess:heur/397442:1.0" ran with exit code 2 and error: iprover.ml: Unexpected exception: Failure("Clausification error: res/vclausify_rel exits with an error status: 1")
% 111.95/38.94 Fatal error: exception Failure("Clausification error: res/vclausify_rel exits with an error status: 1")
% 111.95/38.94 ERROR - cmd was: ulimit -v 4023281; ./res/iproveropt --abstr_ref "[]" --abstr_ref_under "[]" --comb_inst_mult 64 --comb_mode clause_based --comb_res_mult 1 --comb_sup_deep_mult 2 --comb_sup_mult 0 --conj_cone_tolerance 3. --demod_completeness_check fast --demod_use_ground true --eq_ax_congr_red true --extra_neg_conj none --inst_activity_threshold 4 --inst_dismatching true --inst_eager_unprocessed_to_passive true --inst_eq_res_simp true --inst_learning_factor 8 --inst_learning_loop_flag true --inst_learning_start 2 --inst_lit_activity_flag false --inst_lit_sel "[-split]" --inst_lit_sel_side num_lit --inst_orphan_elimination false --inst_passive_queue_type priority_queues --inst_passive_queues "[[+conj_symb]]" --inst_passive_queues_freq "[50]" --inst_prop_sim_given true --inst_prop_sim_new false --inst_restr_to_given false --inst_sel_renew solver --inst_solver_calls_frac 0.8199321230744955 --inst_solver_per_active 4 --inst_sos_flag false --inst_start_prop_sim_after_learn 7 --inst_subs_given false --inst_subs_new false --instantiation_flag true --out_options none --pred_elim true --prep_def_merge true --prep_def_merge_mbd true --prep_def_merge_prop_impl false --prep_def_merge_tr_cl false --prep_def_merge_tr_red false --prep_gs_sim true --prep_res_sim true --prep_sem_filter exhaustive --prep_sup_sim_all true --prep_sup_sim_sup false --prep_unflatten true --prep_upred true --preprocessing_flag true --prolific_symb_bound 256 --prop_solver_per_cl 1024 --pure_diseq_elim true --res_backward_subs full --res_backward_subs_resolution true --res_forward_subs full --res_forward_subs_resolution true --res_lit_sel adaptive --res_lit_sel_side none --res_ordering kbo --res_passive_queue_type priority_queues --res_passive_queues "[[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]" --res_passive_queues_freq "[15;5]" --res_prop_simpl_given true --res_prop_simpl_new false --res_sim_input true --res_time_limit 300.00 --res_to_prop_solver active --resolution_flag true --schedule none --share_sel_clauses true --smt_ac_axioms fast --smt_preprocessing true --splitting_cvd false --splitting_cvd_svl false --splitting_grd true --splitting_mode input --splitting_nvd 32 --stats_out none --sub_typing true --subs_bck_mult 8 --sup_full_bw "[]" --sup_full_fw "[]" --sup_full_triv "[PropSubs]" --sup_fun_splitting false --sup_immed_bw_immed "[]" --sup_immed_bw_main "[]" --sup_immed_fw_immed "[ACNormalisation]" --sup_immed_fw_main "[]" --sup_immed_triv "[]" --sup_indices_passive "[]" --sup_input_bw "[]" --sup_input_fw "[ACNormalisation]" --sup_input_triv "[Unflattening]" --sup_iter_deepening 2 --sup_passive_queue_type priority_queues --sup_passive_queues "[[-conj_dist;-num_symb];[+age;-num_symb];[+score;-num_symb]]" --sup_passive_queues_freq "[8;4;4]" --sup_prop_simpl_given true --sup_prop_simpl_new true --sup_restarts_mult 2 --sup_score sim_d_gen --sup_share_max_num_cl 500 --sup_share_score_frac 0.2 --sup_smt_interval 10000 --sup_symb_ordering invfreq --sup_to_prop_solver passive --superposition_flag true --time_out_prep_mult 0.1 --suppress_sat_res true --tptp_safe_out true --proof_out true --sat_out_model pos --clausifier res/vclausify_rel --clausifier_options "--mode clausify -t 0.33" --time_out_real 1.00 /export/starexec/sandbox/benchmark/theBenchmark.p 1>> /export/starexec/sandbox/tmp/iprover_out_4nojbpds/u7_6j8yq 2>> /export/starexec/sandbox/tmp/iprover_out_4nojbpds/u7_6j8yq_error
% 111.95/38.94 ERROR - "ProverProcess:heur/346296:4.0" ran with exit code 2 and error: iprover.ml: Unexpected exception: Failure("Clausification error: res/vclausify_rel exits with an error status: 1")
% 111.95/38.94 Fatal error: exception Failure("Clausification error: res/vclausify_rel exits with an error status: 1")
% 111.95/38.94 ERROR - cmd was: ulimit -v 4023281; ./res/iproveropt --abstr_ref_under "[cone]" --comb_mode clause_based --comb_sup_deep_mult 16 --comb_sup_mult 32 --conj_cone_tolerance 1.4800932179966555 --demod_completeness_check fast --demod_use_ground false --extra_neg_conj none --instantiation_flag false --out_options none --preprocessing_flag false --prolific_symb_bound 256 --prop_solver_per_cl 128 --resolution_flag false --schedule none --share_sel_clauses true --stats_out none --subs_bck_mult -1 --sup_full_bw "[Subsumption;SubsumptionRes]" --sup_full_fw "[SubsumptionRes;UnitSubsAndRes;Demod;DemodLoopTriv;LightNorm]" --sup_full_triv "[PropSubs]" --sup_fun_splitting true --sup_immed_bw_immed "[]" --sup_immed_bw_main "[Subsumption;UnitSubsAndRes;Demod]" --sup_immed_fw_immed "[]" --sup_immed_fw_main "[]" --sup_immed_triv "[]" --sup_indices_passive "[]" --sup_iter_deepening 4 --sup_passive_queue_type queue --sup_passive_queues "[[+conj_non_prolific_symb;+ground];[+ar_concr]]" --sup_passive_queues_freq "[8;5]" --sup_prop_simpl_given true --sup_prop_simpl_new true --sup_restarts_mult 0 --sup_score sim --sup_share_max_num_cl 160 --sup_share_score_frac 0.8 --sup_smt_interval 10000 --sup_symb_ordering arity --sup_to_prop_solver passive --superposition_flag true --sub_typing false --suppress_sat_res true --tptp_safe_out true --proof_out true --sat_out_model pos --clausifier res/vclausify_rel --clausifier_options "--mode clausify -t 1.33" --time_out_real 4.00 /export/starexec/sandbox/benchmark/theBenchmark.p 1>> /export/starexec/sandbox/tmp/iprover_out_4nojbpds/7u85jjd1 2>> /export/starexec/sandbox/tmp/iprover_out_4nojbpds/7u85jjd1_error
% 111.95/38.94 ERROR - "ProverProcess:heur/397423:2.0" ran with exit code 2 and error: iprover.ml: Unexpected exception: Failure("Clausification error: res/vclausify_rel exits with an error status: 1")
% 111.95/38.94 Fatal error: exception Failure("Clausification error: res/vclausify_rel exits with an error status: 1")
% 111.95/38.94 ERROR - cmd was: ulimit -v 4023281; ./res/iproveropt --abstr_ref "[]" --abstr_ref_under "[]" --comb_inst_mult 64 --comb_mode clause_based --comb_res_mult 1 --comb_sup_deep_mult 2 --comb_sup_mult 0 --conj_cone_tolerance 3. --demod_completeness_check fast --demod_use_ground true --eq_ax_congr_red true --extra_neg_conj none --inst_activity_threshold 16 --inst_dismatching true --inst_eager_unprocessed_to_passive true --inst_eq_res_simp true --inst_learning_factor 6 --inst_learning_loop_flag true --inst_learning_start 2 --inst_lit_activity_flag true --inst_lit_sel "[-eq]" --inst_lit_sel_side num_var --inst_orphan_elimination true --inst_passive_queue_type priority_queues --inst_passive_queues "[[-epr]]" --inst_passive_queues_freq "[8]" --inst_prop_sim_given false --inst_prop_sim_new true --inst_restr_to_given true --inst_sel_renew model --inst_solver_calls_frac 0.9392704938399153 --inst_solver_per_active 32 --inst_sos_flag true --inst_sos_phase false --inst_sos_sth_lit_sel "[+conj_symb;+conj_symb;+non_prol_conj_symb;-num_symb;+depth]" --inst_start_prop_sim_after_learn 1 --inst_subs_given false --inst_subs_new true --instantiation_flag true --out_options none --pred_elim true --prep_def_merge true --prep_def_merge_mbd true --prep_def_merge_prop_impl false --prep_def_merge_tr_cl false --prep_def_merge_tr_red false --prep_gs_sim true --prep_res_sim true --prep_sem_filter exhaustive --prep_sup_sim_all true --prep_sup_sim_sup false --prep_unflatten true --prep_upred true --preprocessing_flag true --prolific_symb_bound 256 --prop_solver_per_cl 1024 --pure_diseq_elim true --res_backward_subs full --res_backward_subs_resolution true --res_forward_subs full --res_forward_subs_resolution true --res_lit_sel adaptive --res_lit_sel_side none --res_ordering kbo --res_passive_queue_type priority_queues --res_passive_queues "[[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]" --res_passive_queues_freq "[15;5]" --res_prop_simpl_given true --res_prop_simpl_new false --res_sim_input true --res_time_limit 300.00 --res_to_prop_solver active --resolution_flag true --schedule none --share_sel_clauses true --smt_ac_axioms fast --smt_preprocessing true --splitting_cvd false --splitting_cvd_svl false --splitting_grd true --splitting_mode input --splitting_nvd 32 --stats_out none --sub_typing true --subs_bck_mult 8 --sup_full_bw "[]" --sup_full_fw "[]" --sup_full_triv "[PropSubs]" --sup_fun_splitting false --sup_immed_bw_immed "[]" --sup_immed_bw_main "[]" --sup_immed_fw_immed "[ACNormalisation]" --sup_immed_fw_main "[]" --sup_immed_triv "[]" --sup_indices_passive "[]" --sup_input_bw "[]" --sup_input_fw "[DemodLightNormLoopTriv;ACNormalisation]" --sup_input_triv "[Unflattening]" --sup_iter_deepening 2 --sup_passive_queue_type priority_queues --sup_passive_queues "[[-conj_dist;-num_symb];[+age;-num_symb];[+score;-num_symb]]" --sup_passive_queues_freq "[8;4;4]" --sup_prop_simpl_given true --sup_prop_simpl_new true --sup_restarts_mult 2 --sup_score sim_d_gen --sup_share_max_num_cl 640 --sup_share_score_frac 0.1 --sup_smt_interval 10000 --sup_symb_ordering invfreq --sup_to_prop_solver passive --superposition_flag true --time_out_prep_mult 0.1 --suppress_sat_res true --tptp_safe_out true --proof_out true --sat_out_model pos --clausifier res/vclausify_rel --clausifier_options "--mode clausify -t 0.67" --time_out_real 2.00 /export/starexec/sandbox/benchmark/theBenchmark.p 1>> /export/starexec/sandbox/tmp/iprover_out_4nojbpds/y7ekunwc 2>> /export/starexec/sandbox/tmp/iprover_out_4nojbpds/y7ekunwc_error
% 111.95/38.94 ERROR - "ProverProcess:heur/397453:2.0" ran with exit code 2 and error: iprover.ml: Unexpected exception: Failure("Clausification error: res/vclausify_rel exits with an error status: 1")
% 111.95/38.94 Fatal error: exception Failure("Clausification error: res/vclausify_rel exits with an error status: 1")
% 111.95/38.94 ERROR - cmd was: ulimit -v 4023281; ./res/iproveropt --abstr_ref "[]" --abstr_ref_under "[]" --comb_inst_mult 3 --comb_mode clause_based --comb_res_mult 1 --comb_sup_deep_mult 8 --comb_sup_mult 0 --conj_cone_tolerance 3. --demod_completeness_check fast --demod_use_ground true --eq_ax_congr_red true --extra_neg_conj none --inst_activity_threshold 500 --inst_dismatching true --inst_eager_unprocessed_to_passive true --inst_eq_res_simp false --inst_learning_factor 2 --inst_learning_loop_flag true --inst_learning_start 3000 --inst_lit_activity_flag true --inst_lit_sel "[+prop;+sign;+ground;-num_var;-num_symb]" --inst_lit_sel_side num_symb --inst_orphan_elimination true --inst_passive_queue_type priority_queues --inst_passive_queues "[[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]" --inst_passive_queues_freq "[25;2]" --inst_prop_sim_given true --inst_prop_sim_new false --inst_restr_to_given false --inst_sel_renew solver --inst_solver_calls_frac 1. --inst_solver_per_active 1400 --inst_sos_flag false --inst_start_prop_sim_after_learn 3 --inst_subs_given false --inst_subs_new false --instantiation_flag true --out_options none --pred_elim true --prep_def_merge true --prep_def_merge_mbd true --prep_def_merge_prop_impl false --prep_def_merge_tr_cl false --prep_def_merge_tr_red false --prep_gs_sim true --prep_res_sim true --prep_sem_filter exhaustive --prep_sup_sim_all true --prep_sup_sim_sup false --prep_unflatten true --prep_upred true --preprocessing_flag true --prolific_symb_bound 256 --prop_solver_per_cl 1024 --pure_diseq_elim true --res_backward_subs full --res_backward_subs_resolution true --res_forward_subs full --res_forward_subs_resolution true --res_lit_sel adaptive --res_lit_sel_side none --res_ordering kbo --res_passive_queue_type priority_queues --res_passive_queues "[[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]" --res_passive_queues_freq "[15;5]" --res_prop_simpl_given true --res_prop_simpl_new false --res_sim_input true --res_time_limit 300.00 --res_to_prop_solver active --resolution_flag true --schedule none --share_sel_clauses true --smt_ac_axioms fast --smt_preprocessing true --splitting_cvd false --splitting_cvd_svl false --splitting_grd true --splitting_mode input --splitting_nvd 32 --stats_out none --sub_typing true --subs_bck_mult 8 --sup_full_bw "[Subsumption]" --sup_full_fw "[SubsumptionRes;DemodLoopTriv;LightNorm;DemodLightNormLoopTriv;ACJoinability;ACNormalisation]" --sup_full_triv "[]" --sup_fun_splitting true --sup_immed_bw_immed "[]" --sup_immed_bw_main "[]" --sup_immed_fw_immed "[]" --sup_immed_fw_main "[Subsumption;UnitSubsAndRes;DemodLoopTriv;LightNorm;ACJoinability;ACNormalisation]" --sup_immed_triv "[]" --sup_indices_passive "[FwDemod;BwDemod;LightNorm]" --sup_input_bw "[]" --sup_input_fw "[SubsumptionRes;DemodLoopTriv;LightNorm;ACJoinability;ACNormalisation]" --sup_input_triv "[Unflattening]" --sup_iter_deepening 0 --sup_passive_queue_type priority_queues --sup_passive_queues "[[-has_eq;+conj_symb;+min_def_symb];[-num_symb;-max_atom_input_occur;-conj_dist];[+min_def_symb]]" --sup_passive_queues_freq "[2;6;15]" --sup_prop_simpl_given false --sup_prop_simpl_new false --sup_restarts_mult 16 --sup_score sim_gen --sup_share_max_num_cl 160 --sup_share_score_frac 0.2 --sup_smt_interval 10000 --sup_symb_ordering random --sup_to_prop_solver none --superposition_flag true --time_out_prep_mult 0.1 --suppress_sat_res true --tptp_safe_out true --proof_out true --sat_out_model pos --clausifier res/vclausify_rel --clausifier_options "--mode clausify -t 0.67" --time_out_real 2.00 /export/starexec/sandbox/benchmark/theBenchmark.p 1>> /export/starexec/sandbox/tmp/iprover_out_4nojbpds/3dqlau_g 2>> /export/starexec/sandbox/tmp/iprover_out_4nojbpds/3dqlau_g_error
% 111.95/38.94 ERROR - "ProverProcess:heur/421498:1.0" ran with exit code 2 and error: iprover.ml: Unexpected exception: Failure("Clausification error: res/vclausify_rel exits with an error status: 1")
% 111.95/38.94 Fatal error: exception Failure("Clausification error: res/vclausify_rel exits with an error status: 1")
% 111.95/38.94 ERROR - cmd was: ulimit -v 4023281; ./res/iproveropt --abstr_ref "[]" --abstr_ref_under "[]" --comb_inst_mult 8 --comb_mode clause_based --comb_res_mult 1 --comb_sup_deep_mult 2 --comb_sup_mult 0 --conj_cone_tolerance 3. --demod_completeness_check fast --demod_use_ground true --eq_ax_congr_red true --extra_neg_conj none --inst_activity_threshold 512 --inst_dismatching true --inst_eager_unprocessed_to_passive false --inst_eq_res_simp true --inst_learning_factor 8 --inst_learning_loop_flag true --inst_learning_start 128 --inst_lit_activity_flag false --inst_lit_sel "[+sign;+prop]" --inst_lit_sel_side none --inst_orphan_elimination true --inst_passive_queue_type priority_queues --inst_passive_queues "[[+num_symb;-age;-age];[+num_symb;+conj_non_prolific_symb]]" --inst_passive_queues_freq "[512;10]" --inst_prop_sim_given true --inst_prop_sim_new false --inst_restr_to_given false --inst_sel_renew model --inst_solver_calls_frac 0.006221608720445637 --inst_solver_per_active 32768 --inst_sos_flag true --inst_sos_phase false --inst_sos_sth_lit_sel "[+non_prol_conj_symb;+sign;-depth;-prop]" --inst_start_prop_sim_after_learn 9 --inst_subs_given true --inst_subs_new false --instantiation_flag true --out_options none --pred_elim true --prep_def_merge true --prep_def_merge_mbd true --prep_def_merge_prop_impl false --prep_def_merge_tr_cl false --prep_def_merge_tr_red false --prep_gs_sim true --prep_res_sim true --prep_sem_filter exhaustive --prep_sup_sim_all true --prep_sup_sim_sup false --prep_unflatten true --prep_upred true --preprocessing_flag true --prolific_symb_bound 256 --prop_solver_per_cl 1024 --pure_diseq_elim true --res_backward_subs full --res_backward_subs_resolution true --res_forward_subs full --res_forward_subs_resolution true --res_lit_sel adaptive --res_lit_sel_side none --res_ordering kbo --res_passive_queue_type priority_queues --res_passive_queues "[[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]" --res_passive_queues_freq "[15;5]" --res_prop_simpl_given true --res_prop_simpl_new false --res_sim_input true --res_time_limit 300.00 --res_to_prop_solver active --resolution_flag true --schedule none --share_sel_clauses true --smt_ac_axioms fast --smt_preprocessing true --splitting_cvd false --splitting_cvd_svl false --splitting_grd true --splitting_mode input --splitting_nvd 32 --stats_out none --sub_typing true --subs_bck_mult 8 --sup_full_bw "[]" --sup_full_fw "[]" --sup_full_triv "[PropSubs]" --sup_fun_splitting false --sup_immed_bw_immed "[]" --sup_immed_bw_main "[]" --sup_immed_fw_immed "[ACNormalisation]" --sup_immed_fw_main "[]" --sup_immed_triv "[]" --sup_indices_passive "[]" --sup_input_bw "[]" --sup_input_fw "[ACNormalisation]" --sup_input_triv "[Unflattening]" --sup_iter_deepening 2 --sup_passive_queue_type priority_queues --sup_passive_queues "[[-conj_dist;-num_symb];[+age;-num_symb];[+score;-num_symb]]" --sup_passive_queues_freq "[8;4;4]" --sup_prop_simpl_given true --sup_prop_simpl_new true --sup_restarts_mult 2 --sup_score sim_d_gen --sup_share_max_num_cl 500 --sup_share_score_frac 0.2 --sup_smt_interval 10000 --sup_symb_ordering invfreq --sup_to_prop_solver passive --superposition_flag true --time_out_prep_mult 0.1 --suppress_sat_res true --tptp_safe_out true --proof_out true --sat_out_model pos --clausifier res/vclausify_rel --clausifier_options "--mode clausify -t 0.33" --time_out_real 1.00 /export/starexec/sandbox/benchmark/theBenchmark.p 1>> /export/starexec/sandbox/tmp/iprover_out_4nojbpds/_w8pp2h8 2>> /export/starexec/sandbox/tmp/iprover_out_4nojbpds/_w8pp2h8_error
% 111.95/38.94 ERROR - "ProverProcess:heur/397438:3.0" ran with exit code 2 and error: iprover.ml: Unexpected exception: Failure("Clausification error: res/vclausify_rel exits with an error status: 1")
% 111.95/38.94 Fatal error: exception Failure("Clausification error: res/vclausify_rel exits with an error status: 1")
% 111.95/38.94 ERROR - cmd was: ulimit -v 4023281; ./res/iproveropt --abstr_ref "[]" --abstr_ref_under "[]" --comb_inst_mult 3 --comb_mode clause_based --comb_res_mult 1 --comb_sup_deep_mult 2 --comb_sup_mult 0 --conj_cone_tolerance 4.258519782557883 --demod_completeness_check fast --demod_use_ground true --eq_ax_congr_red false --extra_neg_conj all_neg --inst_activity_threshold 500 --inst_dismatching true --inst_eager_unprocessed_to_passive true --inst_eq_res_simp false --inst_learning_factor 2 --inst_learning_loop_flag true --inst_learning_start 3000 --inst_lit_activity_flag true --inst_lit_sel "[+prop;+sign;+ground;-num_var;-num_symb]" --inst_lit_sel_side num_symb --inst_orphan_elimination true --inst_passive_queue_type priority_queues --inst_passive_queues "[[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]" --inst_passive_queues_freq "[25;2]" --inst_prop_sim_given true --inst_prop_sim_new false --inst_restr_to_given false --inst_sel_renew solver --inst_solver_calls_frac 1. --inst_solver_per_active 1400 --inst_sos_flag false --inst_start_prop_sim_after_learn 3 --inst_subs_given false --inst_subs_new false --instantiation_flag true --out_options none --pred_elim false --prep_def_merge false --prep_gs_sim true --prep_res_sim false --prep_sem_filter exhaustive --prep_sup_sim_all true --prep_sup_sim_sup true --prep_unflatten true --prep_upred false --preprocessing_flag true --prolific_symb_bound 32768 --prop_solver_per_cl 512 --pure_diseq_elim false --res_backward_subs full --res_backward_subs_resolution true --res_forward_subs full --res_forward_subs_resolution true --res_lit_sel adaptive --res_lit_sel_side none --res_ordering kbo --res_passive_queue_type priority_queues --res_passive_queues "[[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]" --res_passive_queues_freq "[15;5]" --res_prop_simpl_given true --res_prop_simpl_new false --res_sim_input false --res_time_limit 300.00 --res_to_prop_solver active --resolution_flag true --schedule none --share_sel_clauses true --smt_ac_axioms full --smt_preprocessing true --splitting_mode none --stats_out none --sub_typing true --subs_bck_mult 16 --sup_full_bw "[]" --sup_full_fw "[]" --sup_full_triv "[PropSubs]" --sup_fun_splitting false --sup_immed_bw_immed "[]" --sup_immed_bw_main "[]" --sup_immed_fw_immed "[ACNormalisation]" --sup_immed_fw_main "[]" --sup_immed_triv "[]" --sup_indices_passive "[]" --sup_input_bw "[]" --sup_input_fw "[ACNormalisation]" --sup_input_triv "[Unflattening]" --sup_iter_deepening 2 --sup_passive_queue_type priority_queues --sup_passive_queues "[[-conj_dist;-num_symb];[+age;-num_symb];[+score;-num_symb]]" --sup_passive_queues_freq "[8;4;4]" --sup_prop_simpl_given true --sup_prop_simpl_new true --sup_restarts_mult 2 --sup_score sim_d_gen --sup_share_max_num_cl 500 --sup_share_score_frac 0.2 --sup_smt_interval 10000 --sup_symb_ordering invfreq --sup_to_prop_solver passive --superposition_flag true --time_out_prep_mult 0.6446472235300083 --suppress_sat_res true --tptp_safe_out true --proof_out true --sat_out_model pos --clausifier res/vclausify_rel --clausifier_options "--mode clausify -t 1.00" --time_out_real 3.00 /export/starexec/sandbox/benchmark/theBenchmark.p 1>> /export/starexec/sandbox/tmp/iprover_out_4nojbpds/sckjyuab 2>> /export/starexec/sandbox/tmp/iprover_out_4nojbpds/sckjyuab_error
% 111.95/38.94 ERROR - "ProverProcess:heur/346295:2.0" ran with exit code 2 and error: iprover.ml: Unexpected exception: Failure("Clausification error: res/vclausify_rel exits with an error status: 1")
% 111.95/38.94 Fatal error: exception Failure("Clausification error: res/vclausify_rel exits with an error status: 1")
% 111.95/38.94 ERROR - cmd was: ulimit -v 4023281; ./res/iproveropt --abstr_ref_under "[]" --comb_inst_mult 32 --comb_mode time_based --comb_sup_deep_mult 32 --comb_sup_mult 64 --conj_cone_tolerance 4.864915414290623 --demod_completeness_check fast --demod_use_ground false --eq_ax_congr_red true --extra_neg_conj none --inst_activity_threshold 4 --inst_dismatching true --inst_eager_unprocessed_to_passive false --inst_eq_res_simp false --inst_learning_loop_flag false --inst_lit_activity_flag true --inst_lit_sel "[+sign;-num_symb]" --inst_lit_sel_side none --inst_orphan_elimination true --inst_passive_queue_type stack --inst_passive_queues "[[-max_atom_input_occur;-horn;+max_atom_input_occur];[+num_var;+conj_non_prolific_symb]]" --inst_passive_queues_freq "[5;8]" --inst_prop_sim_given false --inst_prop_sim_new true --inst_restr_to_given false --inst_sel_renew solver --inst_solver_calls_frac 0.19345837243053365 --inst_solver_per_active 4 --inst_sos_flag true --inst_sos_phase true --inst_sos_sth_lit_sel "[+num_symb;+non_prol_conj_symb;-ground;-non_prol_conj_symb]" --inst_start_prop_sim_after_learn 8 --inst_subs_given true --inst_subs_new false --instantiation_flag true --out_options none --pred_elim true --prep_def_merge true --prep_def_merge_mbd true --prep_def_merge_prop_impl false --prep_def_merge_tr_red true --prep_gs_sim false --prep_res_sim false --prep_sem_filter neg --prep_sup_sim_all false --prep_sup_sim_sup false --prep_unflatten true --prep_upred true --preprocessing_flag true --prolific_symb_bound 4096 --prop_solver_per_cl 32 --pure_diseq_elim true --resolution_flag false --schedule none --share_sel_clauses false --smt_ac_axioms full --smt_preprocessing false --splitting_cvd true --splitting_cvd_svl true --splitting_grd true --splitting_mode full --splitting_nvd 256 --stats_out none --sub_typing true --subs_bck_mult 2 --sup_full_bw "[Subsumption;SubsumptionRes;UnitSubsAndRes]" --sup_full_fw "[]" --sup_full_triv "[PropSubs]" --sup_fun_splitting true --sup_immed_bw_immed "[Demod]" --sup_immed_bw_main "[SubsumptionRes;Demod]" --sup_immed_fw_immed "[]" --sup_immed_fw_main "[Subsumption;DemodLoopTriv;LightNorm;DemodLightNormLoopTriv;ACJoinability]" --sup_immed_triv "[PropSubs;Unflattening]" --sup_indices_passive "[BwDemod;LightNorm]" --sup_iter_deepening 16 --sup_passive_queue_type queue --sup_passive_queues "[[-num_lits];[+bc_imp_inh;-conj_symb];[+age;-epr]]" --sup_passive_queues_freq "[512;1024;2]" --sup_prop_simpl_given false --sup_prop_simpl_new true --sup_restarts_mult 16 --sup_smt_interval 10000 --sup_symb_ordering arity_rev --sup_to_prop_solver none --superposition_flag true --time_out_prep_mult 0.44393281968831944 --suppress_sat_res true --tptp_safe_out true --proof_out true --sat_out_model pos --clausifier res/vclausify_rel --clausifier_options "--mode clausify -t 0.67" --time_out_real 2.00 /export/starexec/sandbox/benchmark/theBenchmark.p 1>> /export/starexec/sandbox/tmp/iprover_out_4nojbpds/hey2iqb9 2>> /export/starexec/sandbox/tmp/iprover_out_4nojbpds/hey2iqb9_error
% 111.95/38.94 ERROR - "ProverProcess:heur/445545:2.0" ran with exit code 2 and error: iprover.ml: Unexpected exception: Failure("Clausification error: res/vclausify_rel exits with an error status: 1")
% 111.95/38.94 Fatal error: exception Failure("Clausification error: res/vclausify_rel exits with an error status: 1")
% 111.95/38.94 ERROR - cmd was: ulimit -v 4023281; ./res/iproveropt --abstr_ref "[]" --abstr_ref_under "[]" --comb_inst_mult 64 --comb_mode time_based --comb_res_mult 4 --comb_sup_deep_mult 2 --comb_sup_mult 0 --conj_cone_tolerance 2.928236952905468 --demod_completeness_check fast --demod_use_ground true --eq_ax_congr_red true --extra_neg_conj none --inst_activity_threshold 1 --inst_dismatching false --inst_eager_unprocessed_to_passive true --inst_eq_res_simp false --inst_learning_factor 8 --inst_learning_loop_flag true --inst_learning_start 4 --inst_lit_activity_flag false --inst_lit_sel "[+ground;-conj_symb]" --inst_lit_sel_side num_lit --inst_orphan_elimination true --inst_passive_queue_type priority_queues --inst_passive_queues "[[+conj_dist;-ground];[+bc_imp_inh];[-min_def_symb;-conj_dist;+ar_concr]]" --inst_passive_queues_freq "[5;50;25]" --inst_prop_sim_given true --inst_prop_sim_new true --inst_restr_to_given false --inst_sel_renew model --inst_solver_calls_frac 0.1719199240828012 --inst_solver_per_active 8192 --inst_sos_flag false --inst_start_prop_sim_after_learn 10 --inst_subs_given false --inst_subs_new false --instantiation_flag true --out_options none --pred_elim false --prep_def_merge false --prep_def_merge_mbd true --prep_def_merge_prop_impl true --prep_def_merge_tr_cl false --prep_def_merge_tr_red false --prep_gs_sim true --prep_res_sim true --prep_sem_filter none --prep_sup_sim_all false --prep_sup_sim_sup false --prep_unflatten false --prep_upred true --preprocessing_flag true --prolific_symb_bound 256 --prop_solver_per_cl 32768 --pure_diseq_elim false --res_backward_subs full --res_backward_subs_resolution true --res_forward_subs full --res_forward_subs_resolution true --res_lit_sel pos_max --res_lit_sel_side none --res_ordering kbo_pred --res_passive_queue_type priority_queues --res_passive_queues "[[-horn;-age];[+conj_non_prolific_symb]]" --res_passive_queues_freq "[25;1]" --res_prop_simpl_given false --res_prop_simpl_new true --res_sim_input true --res_time_limit 183.02 --res_to_prop_solver passive --resolution_flag true --schedule none --share_sel_clauses true --smt_ac_axioms full --smt_preprocessing true --splitting_cvd true --splitting_cvd_svl true --splitting_grd true --splitting_mode none --splitting_nvd 32 --stats_out none --sub_typing true --subs_bck_mult 1 --sup_full_bw "[]" --sup_full_fw "[]" --sup_full_triv "[PropSubs]" --sup_fun_splitting false --sup_immed_bw_immed "[]" --sup_immed_bw_main "[]" --sup_immed_fw_immed "[ACNormalisation]" --sup_immed_fw_main "[]" --sup_immed_triv "[]" --sup_indices_passive "[]" --sup_input_bw "[Demod]" --sup_input_fw "[Subsumption;DemodLightNormLoopTriv]" --sup_input_triv "[PropSubs;Unflattening]" --sup_iter_deepening 2 --sup_passive_queue_type priority_queues --sup_passive_queues "[[-conj_dist;-num_symb];[+age;-num_symb];[+score;-num_symb]]" --sup_passive_queues_freq "[8;4;4]" --sup_prop_simpl_given true --sup_prop_simpl_new true --sup_restarts_mult 2 --sup_score sim_d_gen --sup_share_max_num_cl 640 --sup_share_score_frac 0.1 --sup_smt_interval 10000 --sup_symb_ordering invfreq --sup_to_prop_solver passive --superposition_flag true --time_out_prep_mult 0.8761824483883155 --suppress_sat_res true --tptp_safe_out true --proof_out true --sat_out_model pos --clausifier res/vclausify_rel --clausifier_options "--mode clausify -t 0.67" --time_out_real 2.00 /export/starexec/sandbox/benchmark/theBenchmark.p 1>> /export/starexec/sandbox/tmp/iprover_out_4nojbpds/h6v6iigt 2>> /export/starexec/sandbox/tmp/iprover_out_4nojbpds/h6v6iigt_error
% 111.95/38.94 ERROR - "ProverProcess:heur/421501:2.0" ran with exit code 2 and error: iprover.ml: Unexpected exception: Failure("Clausification error: res/vclausify_rel exits with an error status: 1")
% 111.95/38.94 Fatal error: exception Failure("Clausification error: res/vclausify_rel exits with an error status: 1")
% 111.95/38.94 ERROR - cmd was: ulimit -v 4023281; ./res/iproveropt --abstr_ref "[]" --abstr_ref_under "[]" --comb_inst_mult 8 --comb_mode clause_based --comb_res_mult 1 --comb_sup_deep_mult 2 --comb_sup_mult 0 --conj_cone_tolerance 3. --demod_completeness_check fast --demod_use_ground true --eq_ax_congr_red true --extra_neg_conj none --inst_activity_threshold 128 --inst_dismatching false --inst_eager_unprocessed_to_passive true --inst_eq_res_simp false --inst_learning_factor 4 --inst_learning_loop_flag true --inst_learning_start 8 --inst_lit_activity_flag false --inst_lit_sel "[-non_prol_conj_symb;+eq;+depth;-num_symb]" --inst_lit_sel_side num_lit --inst_orphan_elimination true --inst_passive_queue_type list --inst_passive_queues "[[+conj_symb;-conj_dist;-num_var];[-num_lits;-age;-has_eq]]" --inst_passive_queues_freq "[4;2]" --inst_prop_sim_given false --inst_prop_sim_new false --inst_restr_to_given true --inst_sel_renew model --inst_solver_calls_frac 0.23383948582673897 --inst_solver_per_active 2048 --inst_sos_flag false --inst_start_prop_sim_after_learn 1 --inst_subs_given false --inst_subs_new false --instantiation_flag true --out_options none --pred_elim true --prep_def_merge true --prep_def_merge_mbd true --prep_def_merge_prop_impl false --prep_def_merge_tr_cl false --prep_def_merge_tr_red false --prep_gs_sim true --prep_res_sim true --prep_sem_filter exhaustive --prep_sup_sim_all true --prep_sup_sim_sup false --prep_unflatten true --prep_upred true --preprocessing_flag true --prolific_symb_bound 256 --prop_solver_per_cl 1024 --pure_diseq_elim true --res_backward_subs full --res_backward_subs_resolution true --res_forward_subs full --res_forward_subs_resolution true --res_lit_sel adaptive --res_lit_sel_side none --res_ordering kbo --res_passive_queue_type priority_queues --res_passive_queues "[[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]" --res_passive_queues_freq "[15;5]" --res_prop_simpl_given true --res_prop_simpl_new false --res_sim_input true --res_time_limit 300.00 --res_to_prop_solver active --resolution_flag true --schedule none --share_sel_clauses true --smt_ac_axioms fast --smt_preprocessing true --splitting_cvd false --splitting_cvd_svl false --splitting_grd true --splitting_mode input --splitting_nvd 32 --stats_out none --sub_typing true --subs_bck_mult 8 --sup_full_bw "[]" --sup_full_fw "[]" --sup_full_triv "[PropSubs]" --sup_fun_splitting false --sup_immed_bw_immed "[]" --sup_immed_bw_main "[]" --sup_immed_fw_immed "[ACNormalisation]" --sup_immed_fw_main "[]" --sup_immed_triv "[]" --sup_indices_passive "[]" --sup_input_bw "[]" --sup_input_fw "[ACNormalisation]" --sup_input_triv "[Unflattening]" --sup_iter_deepening 2 --sup_passive_queue_type priority_queues --sup_passive_queues "[[-conj_dist;-num_symb];[+age;-num_symb];[+score;-num_symb]]" --sup_passive_queues_freq "[8;4;4]" --sup_prop_simpl_given true --sup_prop_simpl_new true --sup_restarts_mult 2 --sup_score sim_d_gen --sup_share_max_num_cl 500 --sup_share_score_frac 0.2 --sup_smt_interval 10000 --sup_symb_ordering invfreq --sup_to_prop_solver passive --superposition_flag true --time_out_prep_mult 0.1 --suppress_sat_res true --tptp_safe_out true --proof_out true --sat_out_model pos --clausifier res/vclausify_rel --clausifier_options "--mode clausify -t 0.67" --time_out_real 2.00 /export/starexec/sandbox/benchmark/theBenchmark.p 1>> /export/starexec/sandbox/tmp/iprover_out_4nojbpds/7j8z8wbs 2>> /export/starexec/sandbox/tmp/iprover_out_4nojbpds/7j8z8wbs_error
% 111.95/38.94 ERROR - "ProverProcess:heur/346305:4.0" ran with exit code 2 and error: iprover.ml: Unexpected exception: Failure("Clausification error: res/vclausify_rel exits with an error status: 1")
% 111.95/38.94 Fatal error: exception Failure("Clausification error: res/vclausify_rel exits with an error status: 1")
% 111.95/38.94 ERROR - cmd was: ulimit -v 4023281; ./res/iproveropt --abstr_ref "[arg_filter;gen]" --abstr_ref_af_restrict_to_split_sk false --abstr_ref_prep false --abstr_ref_sig_restrict skc --abstr_ref_under "[]" --abstr_ref_until_sat false --comb_inst_mult 64 --comb_mode clause_based --comb_res_mult 16 --comb_sup_deep_mult 1 --comb_sup_mult 32 --conj_cone_tolerance 1.0859166462316616 --eq_ax_congr_red false --extra_neg_conj none --inst_activity_threshold 500 --inst_dismatching false --inst_eager_unprocessed_to_passive false --inst_eq_res_simp true --inst_learning_loop_flag false --inst_lit_activity_flag true --inst_lit_sel "[-split;-num_var]" --inst_lit_sel_side none --inst_orphan_elimination false --inst_passive_queue_type list --inst_passive_queues "[[+bc_imp_inh];[-epr;-ar_concr;+bc_imp_inh];[-conj_symb;-conj_non_prolific_symb]]" --inst_passive_queues_freq "[50;4;4]" --inst_prop_sim_given false --inst_prop_sim_new true --inst_restr_to_given false --inst_sel_renew solver --inst_solver_calls_frac 0.761459653857845 --inst_solver_per_active 16384 --inst_sos_flag true --inst_sos_phase true --inst_sos_sth_lit_sel "[+ground;+depth]" --inst_start_prop_sim_after_learn 9 --inst_subs_given false --inst_subs_new true --instantiation_flag true --out_options none --pred_elim true --prep_def_merge true --prep_def_merge_mbd true --prep_def_merge_prop_impl false --prep_def_merge_tr_red true --prep_gs_sim false --prep_res_sim false --prep_sem_filter exhaustive --prep_sup_sim_all true --prep_sup_sim_sup true --prep_unflatten false --prep_upred true --preprocessing_flag true --prolific_symb_bound 32 --prop_solver_per_cl 8192 --pure_diseq_elim false --res_backward_subs full --res_backward_subs_resolution false --res_forward_subs full --res_forward_subs_resolution true --res_lit_sel neg_max --res_lit_sel_side cnt --res_ordering kbo --res_passive_queue_type list --res_passive_queues "[[-conj_non_prolific_symb;-num_lits];[+ground;-max_atom_input_occur];[+min_def_symb;-max_atom_input_occur]]" --res_passive_queues_freq "[2;512;512]" --res_prop_simpl_given true --res_prop_simpl_new true --res_sim_input false --res_time_limit 171.21 --res_to_prop_solver active --resolution_flag true --schedule none --share_sel_clauses true --smt_ac_axioms off --smt_preprocessing false --splitting_mode none --stats_out none --sub_typing true --subs_bck_mult 64 --superposition_flag false --time_out_prep_mult 0.6978724187448465 --suppress_sat_res true --tptp_safe_out true --proof_out true --sat_out_model pos --clausifier res/vclausify_rel --clausifier_options "--mode clausify -t 1.33" --time_out_real 4.00 /export/starexec/sandbox/benchmark/theBenchmark.p 1>> /export/starexec/sandbox/tmp/iprover_out_4nojbpds/ozmcg3nh 2>> /export/starexec/sandbox/tmp/iprover_out_4nojbpds/ozmcg3nh_error
% 111.95/38.94 ERROR - "ProverProcess:heur/379306:2.0" ran with exit code 2 and error: iprover.ml: Unexpected exception: Failure("Clausification error: res/vclausify_rel exits with an error status: 1")
% 111.95/38.94 Fatal error: exception Failure("Clausification error: res/vclausify_rel exits with an error status: 1")
% 111.95/38.94 ERROR - cmd was: ulimit -v 4023281; ./res/iproveropt --abstr_ref "[]" --abstr_ref_under "[]" --comb_inst_mult 3 --comb_mode clause_based --comb_res_mult 1 --comb_sup_deep_mult 6 --comb_sup_mult 32 --conj_cone_tolerance 3. --demod_completeness_check fast --demod_use_ground false --eq_ax_congr_red true --extra_neg_conj none --inst_activity_threshold 500 --inst_dismatching true --inst_eager_unprocessed_to_passive true --inst_eq_res_simp false --inst_learning_factor 2 --inst_learning_loop_flag true --inst_learning_start 3000 --inst_lit_activity_flag true --inst_lit_sel "[+prop;+sign;+ground;-num_var;-num_symb]" --inst_lit_sel_side num_symb --inst_orphan_elimination true --inst_passive_queue_type priority_queues --inst_passive_queues "[[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]" --inst_passive_queues_freq "[25;2]" --inst_prop_sim_given true --inst_prop_sim_new false --inst_restr_to_given false --inst_sel_renew solver --inst_solver_calls_frac 1. --inst_solver_per_active 1400 --inst_sos_flag false --inst_start_prop_sim_after_learn 3 --inst_subs_given false --inst_subs_new false --instantiation_flag true --out_options none --pred_elim true --prep_def_merge true --prep_def_merge_mbd true --prep_def_merge_prop_impl false --prep_def_merge_tr_cl false --prep_def_merge_tr_red false --prep_gs_sim true --prep_res_sim true --prep_sem_filter exhaustive --prep_sup_sim_all true --prep_sup_sim_sup false --prep_unflatten true --prep_upred true --preprocessing_flag true --prolific_symb_bound 256 --prop_solver_per_cl 1024 --pure_diseq_elim true --res_backward_subs full --res_backward_subs_resolution true --res_forward_subs full --res_forward_subs_resolution true --res_lit_sel adaptive --res_lit_sel_side none --res_ordering kbo --res_passive_queue_type priority_queues --res_passive_queues "[[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]" --res_passive_queues_freq "[15;5]" --res_prop_simpl_given true --res_prop_simpl_new false --res_sim_input true --res_time_limit 300.00 --res_to_prop_solver active --resolution_flag true --schedule none --share_sel_clauses true --smt_ac_axioms fast --smt_preprocessing true --splitting_cvd false --splitting_cvd_svl false --splitting_grd true --splitting_mode input --splitting_nvd 32 --stats_out none --sub_typing true --subs_bck_mult 8 --sup_full_bw "[]" --sup_full_fw "[]" --sup_full_triv "[PropSubs;Unflattening]" --sup_fun_splitting false --sup_immed_bw_immed "[]" --sup_immed_bw_main "[]" --sup_immed_fw_immed "[Subsumption;SubsumptionRes;UnitSubsAndRes;DemodLoopTriv;ACNormalisation]" --sup_immed_fw_main "[Subsumption;UnitSubsAndRes;Demod;LightNorm;ACNormalisation]" --sup_immed_triv "[PropSubs]" --sup_indices_passive "[]" --sup_input_bw "[SubsumptionRes]" --sup_input_fw "[SMTSubs;]" --sup_input_triv "[]" --sup_iter_deepening 1 --sup_passive_queue_type priority_queues --sup_passive_queues "[[+min_def_symb;-score;+epr];[-next_state;-conj_dist;+conj_symb]]" --sup_passive_queues_freq "[3;512]" --sup_prop_simpl_given false --sup_prop_simpl_new true --sup_restarts_mult 16 --sup_score sim_d_gen --sup_share_max_num_cl 320 --sup_share_score_frac 0.2 --sup_smt_interval 10000 --sup_symb_ordering arity_rev --sup_to_prop_solver none --superposition_flag true --time_out_prep_mult 0.1 --suppress_sat_res true --tptp_safe_out true --proof_out true --sat_out_model pos --clausifier res/vclausify_rel --clausifier_options "--mode clausify -t 0.67" --time_out_real 2.00 /export/starexec/sandbox/benchmark/theBenchmark.p 1>> /export/starexec/sandbox/tmp/iprover_out_4nojbpds/l5vqvm36 2>> /export/starexec/sandbox/tmp/iprover_out_4nojbpds/l5vqvm36_error
% 111.95/38.94 ERROR - "ProverProcess:heur/346293:3.0" ran with exit code 2 and error: iprover.ml: Unexpected exception: Failure("Clausification error: res/vclausify_rel exits with an error status: 1")
% 111.95/38.94 Fatal error: exception Failure("Clausification error: res/vclausify_rel exits with an error status: 1")
% 111.95/38.94 ERROR - cmd was: ulimit -v 4023281; ./res/iproveropt --abstr_ref "[arg_filter;sig]" --abstr_ref_af_restrict_to_split_sk false --abstr_ref_prep false --abstr_ref_sig_restrict skc --abstr_ref_under "[]" --abstr_ref_until_sat false --comb_inst_mult 16 --comb_mode clause_based --comb_sup_deep_mult 4 --comb_sup_mult 0 --conj_cone_tolerance 2.3561585497068624 --eq_ax_congr_red true --extra_neg_conj none --inst_activity_threshold 2048 --inst_dismatching false --inst_eager_unprocessed_to_passive false --inst_eq_res_simp true --inst_learning_factor 3 --inst_learning_loop_flag true --inst_learning_start 4 --inst_lit_activity_flag false --inst_lit_sel "[+non_prol_conj_symb;-num_var;-num_var;+num_symb]" --inst_lit_sel_side num_symb --inst_orphan_elimination false --inst_passive_queue_type stack --inst_passive_queues "[[-num_lits;-horn]]" --inst_passive_queues_freq "[10]" --inst_prop_sim_given false --inst_prop_sim_new true --inst_restr_to_given true --inst_sel_renew solver --inst_solver_calls_frac 0.5560883869593246 --inst_solver_per_active 16384 --inst_sos_flag true --inst_sos_phase true --inst_sos_sth_lit_sel "[-sign]" --inst_start_prop_sim_after_learn 6 --inst_subs_given false --inst_subs_new false --instantiation_flag true --out_options none --pred_elim true --prep_def_merge false --prep_gs_sim true --prep_res_sim false --prep_sem_filter exhaustive --prep_sup_sim_all false --prep_sup_sim_sup true --prep_unflatten true --prep_upred true --preprocessing_flag true --prolific_symb_bound 2048 --prop_solver_per_cl 4096 --pure_diseq_elim false --resolution_flag false --schedule none --share_sel_clauses false --smt_ac_axioms off --smt_preprocessing false --splitting_cvd true --splitting_cvd_svl true --splitting_grd true --splitting_mode input --splitting_nvd 256 --stats_out none --sub_typing true --subs_bck_mult 8 --superposition_flag false --time_out_prep_mult 0.8532408987837321 --suppress_sat_res true --tptp_safe_out true --proof_out true --sat_out_model pos --clausifier res/vclausify_rel --clausifier_options "--mode clausify -t 1.00" --time_out_real 3.00 /export/starexec/sandbox/benchmark/theBenchmark.p 1>> /export/starexec/sandbox/tmp/iprover_out_4nojbpds/merzl_la 2>> /export/starexec/sandbox/tmp/iprover_out_4nojbpds/merzl_la_error
% 111.95/38.94 ERROR - "ProverProcess:heur/379320:2.0" ran with exit code 2 and error: iprover.ml: Unexpected exception: Failure("Clausification error: res/vclausify_rel exits with an error status: 1")
% 111.95/38.94 Fatal error: exception Failure("Clausification error: res/vclausify_rel exits with an error status: 1")
% 111.95/38.94 ERROR - cmd was: ulimit -v 4023281; ./res/iproveropt --abstr_ref "[]" --abstr_ref_under "[]" --comb_inst_mult 3 --comb_mode clause_based --comb_res_mult 1 --comb_sup_deep_mult 64 --comb_sup_mult 0 --conj_cone_tolerance 3. --demod_completeness_check full --demod_use_ground true --eq_ax_congr_red true --extra_neg_conj none --inst_activity_threshold 500 --inst_dismatching true --inst_eager_unprocessed_to_passive true --inst_eq_res_simp false --inst_learning_factor 2 --inst_learning_loop_flag true --inst_learning_start 3000 --inst_lit_activity_flag true --inst_lit_sel "[+prop;+sign;+ground;-num_var;-num_symb]" --inst_lit_sel_side num_symb --inst_orphan_elimination true --inst_passive_queue_type priority_queues --inst_passive_queues "[[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]" --inst_passive_queues_freq "[25;2]" --inst_prop_sim_given true --inst_prop_sim_new false --inst_restr_to_given false --inst_sel_renew solver --inst_solver_calls_frac 1. --inst_solver_per_active 1400 --inst_sos_flag false --inst_start_prop_sim_after_learn 3 --inst_subs_given false --inst_subs_new false --instantiation_flag true --out_options none --pred_elim true --prep_def_merge true --prep_def_merge_mbd true --prep_def_merge_prop_impl false --prep_def_merge_tr_cl false --prep_def_merge_tr_red false --prep_gs_sim true --prep_res_sim true --prep_sem_filter exhaustive --prep_sup_sim_all true --prep_sup_sim_sup false --prep_unflatten true --prep_upred true --preprocessing_flag true --prolific_symb_bound 256 --prop_solver_per_cl 1024 --pure_diseq_elim true --res_backward_subs full --res_backward_subs_resolution true --res_forward_subs full --res_forward_subs_resolution true --res_lit_sel adaptive --res_lit_sel_side none --res_ordering kbo --res_passive_queue_type priority_queues --res_passive_queues "[[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]" --res_passive_queues_freq "[15;5]" --res_prop_simpl_given true --res_prop_simpl_new false --res_sim_input true --res_time_limit 300.00 --res_to_prop_solver active --resolution_flag true --schedule none --share_sel_clauses true --smt_ac_axioms fast --smt_preprocessing true --splitting_cvd false --splitting_cvd_svl false --splitting_grd true --splitting_mode input --splitting_nvd 32 --stats_out none --sub_typing true --subs_bck_mult 8 --sup_full_bw "[]" --sup_full_fw "[Demod;LightNorm]" --sup_full_triv "[]" --sup_fun_splitting true --sup_immed_bw_immed "[]" --sup_immed_bw_main "[Subsumption;SubsumptionRes;UnitSubsAndRes;Demod]" --sup_immed_fw_immed "[]" --sup_immed_fw_main "[]" --sup_immed_triv "[PropSubs;Unflattening]" --sup_indices_passive "[UnitSubsumption;BwDemod]" --sup_input_bw "[]" --sup_input_fw "[]" --sup_input_triv "[PropSubs;Unflattening]" --sup_iter_deepening 2 --sup_passive_queue_type priority_queues --sup_passive_queues "[[-num_symb;-has_eq];[+conj_symb]]" --sup_passive_queues_freq "[4;10]" --sup_prop_simpl_given true --sup_prop_simpl_new true --sup_restarts_mult 8 --sup_score sim_gen --sup_share_max_num_cl 10000 --sup_share_score_frac 0.9 --sup_smt_interval 10000 --sup_symb_ordering random --sup_to_prop_solver active --superposition_flag true --time_out_prep_mult 0.1 --suppress_sat_res true --tptp_safe_out true --proof_out true --sat_out_model pos --clausifier res/vclausify_rel --clausifier_options "--mode clausify -t 0.67" --time_out_real 2.00 /export/starexec/sandbox/benchmark/theBenchmark.p 1>> /export/starexec/sandbox/tmp/iprover_out_4nojbpds/m3t8vbwj 2>> /export/starexec/sandbox/tmp/iprover_out_4nojbpds/m3t8vbwj_error
% 111.95/38.94 % SZS status Theorem for theBenchmark.p
% 111.95/38.94
% 111.95/38.94 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 111.95/38.94
% 111.95/38.94 % ------ iProver source info
% 111.95/38.94
% 111.95/38.94 % git: date: 2026-07-19 20:42:38 +0200
% 111.95/38.94 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 111.95/38.94 % git: non_committed_changes: false
% 111.95/38.94
% 111.95/38.94 % ------ Parsing...
% 111.95/38.94 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 111.95/38.94
% 111.95/38.94 % ------ Preprocessing... sup_sim: 485 sf_s rm: 43 0s sf_e pe_s pe:1:0s pe:2:0s pe:4:0s pe:8:0s pe_e %
% 111.95/38.94
% 111.95/38.94 % ------ Preprocessing... gs_s sp: 68 0s gs_e snvd_s sp: 0 0s snvd_e %
% 111.95/38.94
% 111.95/38.94 % ------ Preprocessing... sf_s rm: 7 0s sf_e
% 111.95/38.94 % ------ Proving...
% 111.95/38.94 % ------ Problem Properties
% 111.95/38.94
% 111.95/38.94 %
% 111.95/38.94 % clauses 3418
% 111.95/38.94 % conjectures 6
% 111.95/38.94 % EPR 509
% 111.95/38.94 % Horn 2031
% 111.95/38.94 % unary 432
% 111.95/38.94 % binary 693
% 111.95/38.94 % lits 14731
% 111.95/38.94 % lits eq 1640
% 111.95/38.94 % fd_pure 0
% 111.95/38.94 % fd_pseudo 0
% 111.95/38.94 % fd_cond 135
% 111.95/38.94 % fd_pseudo_cond 353
% 111.95/38.94 % AC symbols 1
% 111.95/38.94
% 111.95/38.94 % ------ Schedule dynamic 5 is on
% 111.95/38.94
% 111.95/38.94 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 111.95/38.94
% 111.95/38.94
% 111.95/38.94 % ------
% 111.95/38.94 % Current options:
% 111.95/38.94 % ------
% 111.95/38.94
% 111.95/38.94
% 111.95/38.94 %
% 111.95/38.94
% 111.95/38.94 % ------ Proving...
% 111.95/38.94 %
% 111.95/38.94
% 111.95/38.94 % SZS status Theorem for theBenchmark.p
% 111.95/38.94
% 111.95/38.94 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 211.87/39.42
% 211.87/39.42
%------------------------------------------------------------------------------